Subgroups — #6346106

Order 512.

1516 conjugacy classes of subgroups.

The subgroup lattice has 1496 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61441	C₂	1	1	yes	maximal, characteristic
2	#60302	C₂	1	1	yes	maximal, characteristic, complemented
3	#60298	C₂	1	1	yes	maximal, characteristic, complemented
4	#18081	C₂	1	1	yes	maximal, characteristic, complemented
5	#18080	C₂	1	1	yes	maximal, characteristic, complemented
6	#18074	C₂	1	1	yes	maximal, characteristic, complemented
7	#18051	C₂	1	1	yes	maximal, characteristic, complemented
8	#18050	C₂	1	1	yes	maximal, characteristic, complemented
9	#18045	C₂	1	1	yes	maximal, characteristic, complemented
10	#18023	C₂	1	1	yes	maximal, characteristic, complemented
11	#18022	C₂	1	1	yes	maximal, characteristic, complemented
12	#18021	C₂	1	1	yes	maximal, characteristic, complemented
13	#18020	C₂	1	1	yes	maximal, characteristic, complemented
14	#17996	C₂	1	1	yes	maximal, characteristic, complemented
15	#17996	C₂	1	1	yes	maximal, characteristic, complemented
16	#17988	C₂	1	1	yes	maximal, characteristic, complemented
17	#17987	C₂	1	1	yes	maximal, characteristic, complemented
18	#17978	C₂	1	1	yes	maximal, characteristic, complemented
19	#17949	C₂	1	1	yes	maximal, characteristic, complemented
20	#17947	C₂	1	1	yes	maximal, characteristic, complemented
21	#17937	C₂	1	1	yes	maximal, characteristic, complemented
22	#17920	C₂	1	1	yes	maximal, characteristic, complemented
23	#17918	C₂	1	1	yes	maximal, characteristic, complemented
24	#17909	C₂	1	1	yes	maximal, characteristic, complemented
25	#17876	C₂	1	1	yes	maximal, characteristic, complemented
26	#17873	C₂	1	1	yes	maximal, characteristic, complemented
27	#17863	C₂	1	1	yes	maximal, characteristic, complemented
28	#17831	C₂	1	1	yes	maximal, characteristic, complemented
29	#17510	C₂	1	1	yes	maximal, characteristic, complemented
30	#17508	C₂	1	1	yes	maximal, characteristic, complemented
31	#17329	C₂	1	1	yes	maximal, characteristic, complemented
32	#3480	C₂²	1	1	yes	characteristic
33	#3475	C₂²	1	1	yes	characteristic
34	#3401	C₄	1	1	yes	characteristic
35	#3388	C₄	1	1	yes	characteristic
36	#3377	C₄	1	1	yes	characteristic
37	#3370	C₄	1	1	yes	characteristic
38	#3351	C₄	1	1	yes	characteristic
39	#3349	C₄	1	1	yes	characteristic
40	#3347	C₄	1	1	yes	characteristic
41	#3327	C₄	1	1	yes	characteristic
42	#3322	C₄	1	1	yes	characteristic
43	#3321	C₄	1	1	yes	characteristic
44	#3317	C₄	1	1	yes	characteristic
45	#3311	C₄	1	1	yes	characteristic
46	#3307	C₄	1	1	yes	characteristic
47	#3275	C₄	1	1	yes	characteristic
48	#3269	C₄	1	1	yes	characteristic
49	#3268	C₄	1	1	yes	characteristic
50	#3172	C₂²	1	1	yes	characteristic
51	#3171	C₂²	1	1	yes	characteristic
52	#3168	C₂²	1	1	yes	characteristic
53	#3108	C₂²	1	1	yes	characteristic
54	#3107	C₂²	1	1	yes	characteristic
55	#3106	C₂²	1	1	yes	characteristic
56	#3105	C₂²	1	1	yes	characteristic
57	#3102	C₂²	1	1	yes	characteristic
58	#3102	C₂²	1	1	yes	characteristic
59	#2995	—	2	1	no	—
60	#2994	—	2	1	no	—
61	#2994	C₂²	1	1	yes	characteristic
62	#2994	C₂²	1	1	yes	characteristic
63	#2993	C₂²	1	1	yes	characteristic
64	#2993	C₂²	1	1	yes	characteristic
65	#2992	—	2	1	no	—
66	#2992	—	2	1	no	—
67	#2990	C₂²	1	1	yes	characteristic
68	#2990	C₂²	1	1	yes	characteristic
69	#2989	C₂²	1	1	yes	characteristic
70	#2988	C₂²	1	1	yes	characteristic
71	#2986	C₂²	1	1	yes	characteristic
72	#2985	C₂²	1	1	yes	characteristic
73	#2984	C₂²	1	1	yes	characteristic, complemented
74	#2983	C₂²	1	1	yes	characteristic, complemented
75	#2981	—	2	1	no	—
76	#2981	C₂²	1	1	yes	characteristic, complemented
77	#2980	—	2	1	no	—
78	#2979	C₂²	1	1	yes	characteristic, complemented
79	#2977	—	2	1	no	—
80	#2976	—	2	1	no	—
81	#2974	C₂²	1	1	yes	characteristic
82	#2972	C₂²	1	1	yes	characteristic
83	#2970	C₂²	1	1	yes	characteristic
84	#2970	C₂²	1	1	yes	characteristic, complemented
85	#2969	C₂²	1	1	yes	characteristic
86	#2969	C₂²	1	1	yes	characteristic, complemented
87	#2968	—	2	1	no	—
88	#2968	—	2	1	no	—
89	#2967	—	2	1	no	—
90	#2966	—	2	1	no	—
91	#2966	C₂²	1	1	yes	characteristic
92	#2966	C₂²	1	1	yes	characteristic, complemented
93	#2965	C₂²	1	1	yes	characteristic
94	#2965	C₂²	1	1	yes	characteristic, complemented
95	C₈×#41	C₂²	1	1	yes	characteristic
96	C₈×#41	C₂²	1	1	yes	characteristic
97	C₄×#137	C₂²	1	1	yes	characteristic
98	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
99	C₄×#135	C₂²	1	1	yes	characteristic
100	#2925	—	2	1	no	—
101	#2925	C₂²	1	1	yes	characteristic
102	#2925	C₂²	1	1	yes	characteristic
103	#2924	—	2	1	no	—
104	#2923	—	2	1	no	—
105	#2922	C₂²	1	1	yes	characteristic
106	C₂×#433	—	2	1	no	—
107	#1594	C₂²	1	1	yes	characteristic
108	#1593	C₂²	1	1	yes	characteristic, complemented
109	#1593	C₂²	1	1	yes	characteristic, complemented
110	#1593	C₂²	1	1	yes	characteristic, complemented
111	#1592	C₂²	1	1	yes	characteristic
112	#1592	C₂²	1	1	yes	characteristic
113	#1592	C₂²	1	1	yes	characteristic, complemented
114	#1592	C₂²	1	1	yes	characteristic, complemented
115	#1591	C₂²	1	1	yes	characteristic, complemented
116	#1591	C₂²	1	1	yes	characteristic, complemented
117	#1590	C₂²	1	1	yes	characteristic
118	#1590	C₂²	1	1	yes	characteristic, complemented
119	#1588	C₂²	1	1	yes	characteristic, complemented
120	#1588	C₂²	1	1	yes	characteristic, complemented
121	#1587	C₂²	1	1	yes	characteristic, complemented
122	#1587	C₂²	1	1	yes	characteristic, complemented
123	#1587	C₂²	1	1	yes	characteristic, complemented
124	#1587	C₂²	1	1	yes	characteristic, complemented
125	#1586	C₂²	1	1	yes	characteristic
126	#1586	C₂²	1	1	yes	characteristic
127	#1586	C₂²	1	1	yes	characteristic
128	#1586	C₂²	1	1	yes	characteristic
129	#1585	C₂²	1	1	yes	characteristic
130	#1585	C₂²	1	1	yes	characteristic
131	#1585	C₂²	1	1	yes	characteristic
132	#1585	C₂²	1	1	yes	characteristic
133	#1585	C₂²	1	1	yes	characteristic, complemented
134	#1585	C₂²	1	1	yes	characteristic, complemented
135	#1584	C₂²	1	1	yes	characteristic, complemented
136	#1584	C₂²	1	1	yes	characteristic, complemented
137	#1584	C₂²	1	1	yes	characteristic, complemented
138	#1584	C₂²	1	1	yes	characteristic, complemented
139	#1584	C₂²	1	1	yes	characteristic, complemented
140	#1584	C₂²	1	1	yes	characteristic, complemented
141	#1583	C₂²	1	1	yes	characteristic
142	#1583	C₂²	1	1	yes	characteristic, complemented
143	#1583	C₂²	1	1	yes	characteristic, complemented
144	#1583	C₂²	1	1	yes	characteristic, complemented
145	#1582	C₂²	1	1	yes	characteristic
146	#1582	C₂²	1	1	yes	characteristic
147	#1582	C₂²	1	1	yes	characteristic
148	#1582	C₂²	1	1	yes	characteristic
149	#1582	C₂²	1	1	yes	characteristic
150	#1582	C₂²	1	1	yes	characteristic, complemented
151	#1582	C₂²	1	1	yes	characteristic, complemented
152	#1582	C₂²	1	1	yes	characteristic, complemented
153	#1581	C₂²	1	1	yes	characteristic
154	#1581	C₂²	1	1	yes	characteristic
155	#1581	C₂²	1	1	yes	characteristic
156	#1581	C₂²	1	1	yes	characteristic
157	#1581	C₂²	1	1	yes	characteristic
158	#1581	C₂²	1	1	yes	characteristic
159	#1580	C₂²	1	1	yes	characteristic
160	#1580	C₂²	1	1	yes	characteristic
161	#1580	C₂²	1	1	yes	characteristic
162	#1579	C₂²	1	1	yes	characteristic, complemented
163	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
164	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
165	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	C₈×SD₁₆	C₂²	1	1	yes	characteristic
168	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
169	C₈×D₈	C₂²	1	1	yes	characteristic
170	C₈×D₈	C₂²	1	1	yes	characteristic
171	#1574	C₂²	1	1	yes	characteristic
172	#1574	C₂²	1	1	yes	characteristic, complemented
173	#1573	C₂²	1	1	yes	characteristic
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
178	#1569	C₂²	1	1	yes	characteristic, complemented
179	#1568	C₂²	1	1	yes	characteristic, complemented
180	#1565	C₂²	1	1	yes	characteristic
181	#1565	C₂²	1	1	yes	characteristic, complemented
182	#1564	C₂²	1	1	yes	characteristic, complemented
183	#1494	C₂²	1	1	yes	characteristic
184	#1494	C₂²	1	1	yes	characteristic
185	#1494	C₂²	1	1	yes	characteristic
186	#1494	C₂²	1	1	yes	characteristic, complemented
187	#1493	C₂²	1	1	yes	characteristic
188	#1492	C₂²	1	1	yes	characteristic, complemented
189	#1488	C₂²	1	1	yes	characteristic
190	#1488	C₂²	1	1	yes	characteristic
191	#1488	C₂²	1	1	yes	characteristic
192	#1488	C₂²	1	1	yes	characteristic, complemented
193	#1487	C₂²	1	1	yes	characteristic, complemented
194	#1486	C₂²	1	1	yes	characteristic
195	#1482	C₂²	1	1	yes	characteristic
196	#1482	C₂²	1	1	yes	characteristic
197	#1482	C₂²	1	1	yes	characteristic
198	#1482	C₂²	1	1	yes	characteristic, complemented
199	#1481	C₂²	1	1	yes	characteristic
200	#1480	C₂²	1	1	yes	characteristic, complemented
201	#1476	C₂²	1	1	yes	characteristic
202	#1476	C₂²	1	1	yes	characteristic
203	#1476	C₂²	1	1	yes	characteristic
204	#1476	C₂²	1	1	yes	characteristic, complemented
205	C₂×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
206	C₂×D₄⋊C₈	C₂²	1	1	yes	characteristic
207	#1454	C₂²	1	1	yes	characteristic
208	#1454	C₂²	1	1	yes	characteristic, complemented
209	#1453	C₂²	1	1	yes	characteristic
210	#1453	C₂²	1	1	yes	characteristic, complemented
211	#1452	C₂²	1	1	yes	characteristic
212	#1452	C₂²	1	1	yes	characteristic, complemented
213	#1452	C₂²	1	1	yes	characteristic, complemented
214	#1451	C₂²	1	1	yes	characteristic
215	#1451	C₂²	1	1	yes	characteristic, complemented
216	#1451	C₂²	1	1	yes	characteristic, complemented
217	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
218	C₂×#322	C₂²	1	1	yes	characteristic, complemented
219	C₂×#137	C₂×C₄	1	1	yes	characteristic
220	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
221	C₂×#135	C₂×C₄	1	1	yes	characteristic
222	#559	—	2	1	no	—
223	#559	C₂×C₄	1	1	yes	characteristic
224	#557	C₂×C₄	1	1	yes	characteristic
225	#556	—	2	1	no	—
226	#556	C₂×C₄	1	1	yes	characteristic
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	#553	—	2	1	no	—
232	#553	—	2	1	no	—
233	#553	C₂×C₄	1	1	yes	characteristic
234	#553	C₂×C₄	1	1	yes	characteristic
235	#552	—	2	1	no	—
236	#552	C₂×C₄	1	1	yes	characteristic
237	#552	C₂×C₄	1	1	yes	characteristic
238	#551	—	2	1	no	—
239	#551	—	2	1	no	—
240	#550	C₂×C₄	1	1	yes	characteristic
241	#548	C₂×C₄	1	1	yes	characteristic
242	#548	C₂×C₄	1	1	yes	characteristic
243	#547	C₂×C₄	1	1	yes	characteristic
244	#546	C₂×C₄	1	1	yes	characteristic
245	#546	C₂×C₄	1	1	yes	characteristic
246	#533	C₂³	1	1	yes	characteristic
247	#532	—	2	1	no	—
248	#532	C₂³	1	1	yes	characteristic
249	#529	—	2	1	no	—
250	#529	—	2	1	no	—
251	#529	—	2	1	no	—
252	#529	—	2	1	no	—
253	#529	C₂³	1	1	yes	characteristic
254	#529	C₂³	1	1	yes	characteristic
255	#529	C₂³	1	1	yes	characteristic
256	#529	C₂³	1	1	yes	characteristic
257	#525	—	2	1	no	—
258	C₄×#41	—	2	1	no	—
259	C₄×#41	C₂³	1	1	yes	characteristic
260	C₄×#41	C₂³	1	1	yes	characteristic
261	C₄×#41	C₂³	1	1	yes	characteristic
262	C₄×#41	C₂³	1	1	yes	characteristic
263	C₄×#41	C₂³	1	1	yes	characteristic
264	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₂×#117	—	2	1	no	—
267	#501	C₂×C₄	1	1	yes	characteristic
268	#501	C₂×C₄	1	1	yes	characteristic
269	#499	C₂×C₄	1	1	yes	characteristic
270	#497	C₂×C₄	1	1	yes	characteristic
271	#496	C₂×C₄	1	1	yes	characteristic
272	#495	C₂×C₄	1	1	yes	characteristic
273	#491	C₂×C₄	1	1	yes	characteristic
274	#490	C₂×C₄	1	1	yes	characteristic
275	#489	C₂×C₄	1	1	yes	characteristic
276	#489	C₂×C₄	1	1	yes	characteristic
277	#488	C₂×C₄	1	1	yes	characteristic
278	#488	C₂×C₄	1	1	yes	characteristic
279	#485	C₂×C₄	1	1	yes	characteristic
280	#485	C₂×C₄	1	1	yes	characteristic
281	#485	C₂×C₄	1	1	yes	characteristic
282	#485	C₂×C₄	1	1	yes	characteristic
283	#484	C₂×C₄	1	1	yes	characteristic
284	#483	C₂×C₄	1	1	yes	characteristic
285	#482	C₂×C₄	1	1	yes	characteristic
286	#482	C₂×C₄	1	1	yes	characteristic
287	#482	C₂×C₄	1	1	yes	characteristic
288	#482	C₂×C₄	1	1	yes	characteristic
289	#481	C₂×C₄	1	1	yes	characteristic
290	#480	C₂×C₄	1	1	yes	characteristic
291	#479	C₂×C₄	1	1	yes	characteristic
292	#479	C₂×C₄	1	1	yes	characteristic
293	#479	C₂×C₄	1	1	yes	characteristic
294	#479	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	#476	C₂×C₄	1	1	yes	characteristic
301	#475	C₂×C₄	1	1	yes	characteristic
302	#474	C₂×C₄	1	1	yes	characteristic
303	#470	C₂×C₄	1	1	yes	characteristic
304	#470	C₂×C₄	1	1	yes	characteristic
305	#469	C₂×C₄	1	1	yes	characteristic
306	#469	C₂×C₄	1	1	yes	characteristic
307	#468	C₂×C₄	1	1	yes	characteristic
308	#468	C₂×C₄	1	1	yes	characteristic
309	#468	C₂×C₄	1	1	yes	characteristic
310	#468	C₂×C₄	1	1	yes	characteristic
311	#467	C₂×C₄	1	1	yes	characteristic
312	#466	C₂×C₄	1	1	yes	characteristic
313	#465	C₂×C₄	1	1	yes	characteristic
314	#465	C₂×C₄	1	1	yes	characteristic
315	#464	C₂×C₄	1	1	yes	characteristic
316	#464	C₂×C₄	1	1	yes	characteristic
317	#464	C₂×C₄	1	1	yes	characteristic
318	#464	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	#462	C₂×C₄	1	1	yes	characteristic
324	#461	C₂×C₄	1	1	yes	characteristic
325	#460	C₂×C₄	1	1	yes	characteristic
326	#459	C₂×C₄	1	1	yes	characteristic
327	#452	C₂×C₄	1	1	yes	characteristic
328	#452	C₂×C₄	1	1	yes	characteristic
329	#452	C₂×C₄	1	1	yes	characteristic
330	#452	C₂×C₄	1	1	yes	characteristic
331	#451	C₂×C₄	1	1	yes	characteristic
332	#450	C₂×C₄	1	1	yes	characteristic
333	#449	C₂×C₄	1	1	yes	characteristic
334	#449	C₂×C₄	1	1	yes	characteristic
335	#449	C₂×C₄	1	1	yes	characteristic
336	#449	C₂×C₄	1	1	yes	characteristic
337	#448	C₂×C₄	1	1	yes	characteristic
338	#447	C₂×C₄	1	1	yes	characteristic
339	#446	—	2	1	no	—
340	#446	—	2	1	no	—
341	#446	—	2	1	no	—
342	#446	—	2	1	no	—
343	#446	—	2	1	no	—
344	#446	—	2	1	no	—
345	#446	—	2	1	no	—
346	#446	C₂×C₄	1	1	yes	characteristic
347	#446	C₂×C₄	1	1	yes	characteristic
348	#446	C₂³	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	#446	C₂³	1	1	yes	characteristic
354	#446	C₂³	1	1	yes	characteristic
355	#446	C₂³	1	1	yes	characteristic
356	#446	C₂³	1	1	yes	characteristic
357	#446	C₂³	1	1	yes	characteristic
358	C₈×Q₈	—	2	1	no	—
359	C₈×Q₈	—	2	1	no	—
360	C₈×Q₈	C₂³	1	1	yes	characteristic
361	C₈×Q₈	C₂³	1	1	yes	characteristic
362	C₈×Q₈	C₂³	1	1	yes	characteristic
363	C₈×Q₈	C₂³	1	1	yes	characteristic
364	C₈×Q₈	C₂³	1	1	yes	characteristic
365	C₈×Q₈	C₂³	1	1	yes	characteristic
366	#442	C₂×C₄	1	1	yes	characteristic
367	#442	C₂×C₄	1	1	yes	characteristic
368	#441	C₂×C₄	1	1	yes	characteristic
369	#441	C₂×C₄	1	1	yes	characteristic
370	#440	C₂×C₄	1	1	yes	characteristic
371	#440	C₂×C₄	1	1	yes	characteristic
372	#440	C₂×C₄	1	1	yes	characteristic
373	#440	C₂×C₄	1	1	yes	characteristic
374	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
375	C₄×Q₁₆	C₂³	1	1	yes	characteristic
376	C₄×Q₁₆	C₂³	1	1	yes	characteristic
377	C₄×Q₁₆	C₂³	1	1	yes	characteristic
378	C₄×Q₁₆	C₂³	1	1	yes	characteristic
379	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
380	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
381	C₄×SD₁₆	C₂³	1	1	yes	characteristic
382	C₄×SD₁₆	C₂³	1	1	yes	characteristic
383	C₄×SD₁₆	C₂³	1	1	yes	characteristic
384	C₄×SD₁₆	C₂³	1	1	yes	characteristic
385	C₄×SD₁₆	C₂³	1	1	yes	characteristic
386	C₄×SD₁₆	C₂³	1	1	yes	characteristic
387	C₄×SD₁₆	C₂³	1	1	yes	characteristic
388	C₄×SD₁₆	C₂³	1	1	yes	characteristic
389	C₄×D₈	C₂×C₄	1	1	yes	characteristic
390	C₄×D₈	C₂³	1	1	yes	characteristic
391	C₄×D₈	C₂³	1	1	yes	characteristic
392	C₄×D₈	C₂³	1	1	yes	characteristic
393	C₄×D₈	C₂³	1	1	yes	characteristic
394	#436	—	2	1	no	—
395	#436	—	2	1	no	—
396	#436	—	2	1	no	—
397	#436	—	2	1	no	—
398	#436	—	2	1	no	—
399	#436	C₂×C₄	1	1	yes	characteristic
400	#436	C₂×C₄	1	1	yes	characteristic
401	#436	C₂³	1	1	yes	characteristic
402	#436	C₂³	1	1	yes	characteristic
403	#436	C₂³	1	1	yes	characteristic
404	#436	C₂³	1	1	yes	characteristic
405	#436	C₂³	1	1	yes	characteristic
406	#436	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
427	#435	—	2	1	no	—
428	#435	—	2	1	no	—
429	#435	—	2	1	no	—
430	#435	—	2	1	no	—
431	#435	C₂×C₄	1	1	yes	characteristic
432	#435	C₂×C₄	1	1	yes	characteristic
433	#435	C₂×C₄	1	1	yes	characteristic
434	#435	C₂×C₄	1	1	yes	characteristic
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	—	2	1	no	—
448	C₈×D₄	—	2	1	no	—
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	#433	—	2	1	no	—
460	#433	—	2	1	no	—
461	#433	—	2	1	no	—
462	#433	—	2	1	no	—
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	—	2	1	no	—
482	#432	—	2	1	no	—
483	#432	—	2	1	no	—
484	#432	—	2	1	no	—
485	#432	—	2	1	no	—
486	#432	—	2	1	no	—
487	#432	C₂³	1	1	yes	characteristic
488	#432	C₂³	1	1	yes	characteristic
489	#432	C₂³	1	1	yes	characteristic
490	#432	C₂³	1	1	yes	characteristic
491	#431	—	2	1	no	—
492	#431	—	2	1	no	—
493	#431	—	2	1	no	—
494	#431	—	2	1	no	—
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	#431	C₂³	1	1	yes	characteristic
502	#431	C₂³	1	1	yes	characteristic
503	#431	C₂³	1	1	yes	characteristic
504	#431	C₂³	1	1	yes	characteristic
505	#431	C₂³	1	1	yes	characteristic
506	#431	C₂³	1	1	yes	characteristic
507	#431	C₂³	1	1	yes	characteristic
508	#431	C₂³	1	1	yes	characteristic
509	#428	C₂×C₄	1	1	yes	characteristic
510	#428	C₂×C₄	1	1	yes	characteristic
511	#427	C₂×C₄	1	1	yes	characteristic
512	#424	—	2	1	no	—
513	#424	—	2	1	no	—
514	#424	—	2	1	no	—
515	#424	—	2	1	no	—
516	#424	D₄	1	1	yes	characteristic
517	#424	D₄	1	1	yes	characteristic
518	#423	—	2	1	no	—
519	#423	C₂³	1	1	yes	characteristic
520	#423	C₂³	1	1	yes	characteristic
521	C₂×C₄⋊C₈	—	2	1	no	—
522	C₂×C₄⋊C₈	—	2	1	no	—
523	C₂×C₄⋊C₈	—	2	1	no	—
524	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
525	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
526	#419	C₂×C₄	1	1	yes	characteristic
527	#418	C₂×C₄	1	1	yes	characteristic
528	#417	C₂×C₄	1	1	yes	characteristic
529	#417	C₂×C₄	1	1	yes	characteristic
530	#416	C₂×C₄	1	1	yes	characteristic
531	#416	C₂×C₄	1	1	yes	characteristic
532	#408	—	2	1	no	—
533	#408	—	2	1	no	—
534	#408	—	2	1	no	—
535	#408	—	2	1	no	—
536	#408	—	2	1	no	—
537	#408	—	2	1	no	—
538	#408	D₄	1	1	yes	characteristic
539	#408	D₄	1	1	yes	characteristic
540	#407	—	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	#405	—	2	1	no	—
545	#405	—	2	1	no	—
546	#405	—	2	1	no	—
547	#405	—	2	1	no	—
548	#405	—	2	1	no	—
549	#405	—	2	1	no	—
550	C₄×M₁₆	—	2	1	no	—
551	C₄×M₁₆	C₂³	1	1	yes	characteristic
552	C₄×M₁₆	C₂³	1	1	yes	characteristic
553	C₄×M₁₆	C₂³	1	1	yes	characteristic
554	C₂×#97	—	2	1	no	—
555	C₂×#97	—	2	1	no	—
556	C₂×C₄×C₈	—	2	1	no	—
557	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
558	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	Q₈⋊C₈	C₂³	1	1	yes	characteristic
587	Q₈⋊C₈	C₂³	1	1	yes	characteristic
588	Q₈⋊C₈	C₂³	1	1	yes	characteristic
589	Q₈⋊C₈	C₂³	1	1	yes	characteristic
590	Q₈⋊C₈	C₂³	1	1	yes	characteristic
591	Q₈⋊C₈	C₂³	1	1	yes	characteristic
592	Q₈⋊C₈	C₂³	1	1	yes	characteristic
593	Q₈⋊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	#322	C₂³	1	1	yes	characteristic
623	#322	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	C₂²×C₄	1	1	yes	characteristic
628	C₂×#41	C₂²×C₄	1	1	yes	characteristic
629	C₂×#41	C₂²×C₄	1	1	yes	characteristic
630	C₂×#41	C₂²×C₄	1	1	yes	characteristic
631	C₂×#41	C₂×D₄	1	1	yes	characteristic
632	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
633	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
634	C₂³×C₄	—	2	1	no	—
635	#137	—	4	2	no	—
636	AGL(1,ℤ/8)	—	4	2	no	—
637	#135	—	4	2	no	—
638	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
639	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
640	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
641	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
642	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
643	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
644	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
645	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
646	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
647	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
648	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
649	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
650	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
651	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
652	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
653	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
654	C₂×M₁₆	—	2	1	no	—
655	C₂×M₁₆	—	2	1	no	—
656	C₂×M₁₆	—	2	1	no	—
657	C₂×M₁₆	—	2	1	no	—
658	C₂×M₁₆	—	2	1	no	—
659	C₂×M₁₆	—	2	1	no	—
660	C₂×M₁₆	—	2	1	no	—
661	C₂×M₁₆	—	2	1	no	—
662	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
663	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
664	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
665	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
666	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
667	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
668	C₂²×C₈	—	2	1	no	—
669	C₂²×C₈	—	2	1	no	—
670	C₂²×C₈	—	2	1	no	—
671	C₂²×C₈	—	2	1	no	—
672	C₂²×C₈	—	2	1	no	—
673	C₂²×C₈	—	2	1	no	—
674	C₂²×C₈	—	2	1	no	—
675	C₂²×C₈	—	2	1	no	—
676	C₂²×C₈	—	2	1	no	—
677	C₂²×C₈	—	2	1	no	—
678	C₂²×C₈	—	2	1	no	—
679	C₂²×C₈	—	2	1	no	—
680	C₂²×C₈	—	2	1	no	—
681	C₂²×C₈	—	2	1	no	—
682	C₂²×C₈	—	2	1	no	—
683	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
684	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
685	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
686	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Q₈	—	2	1	no	—
688	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
689	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
690	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
691	#127	—	2	1	no	—
692	#127	C₂²×C₄	1	1	yes	characteristic
693	#126	—	2	1	no	—
694	#126	—	2	1	no	—
695	#126	—	2	1	no	—
696	#126	—	2	1	no	—
697	#126	—	2	1	no	—
698	#126	—	2	1	no	—
699	#126	—	2	1	no	—
700	#126	—	2	1	no	—
701	#126	—	2	1	no	—
702	#126	—	2	1	no	—
703	#126	—	2	1	no	—
704	#126	—	2	1	no	—
705	#125	—	2	1	no	—
706	#125	—	2	1	no	—
707	#125	—	2	1	no	—
708	#125	—	2	1	no	—
709	#125	—	2	1	no	—
710	#125	C₂²×C₄	1	1	yes	characteristic
711	#125	C₂²×C₄	1	1	yes	characteristic
712	#125	C₂²×C₄	1	1	yes	characteristic
713	#125	C₂²×C₄	1	1	yes	characteristic
714	#124	—	2	1	no	—
715	#124	—	2	1	no	—
716	#124	—	2	1	no	—
717	#124	—	2	1	no	—
718	#124	—	2	1	no	—
719	#124	—	2	1	no	—
720	#124	—	2	1	no	—
721	#124	C₂²×C₄	1	1	yes	characteristic
722	#124	C₂²×C₄	1	1	yes	characteristic
723	#124	C₂²×C₄	1	1	yes	characteristic
724	#124	C₂²×C₄	1	1	yes	characteristic
725	#123	—	2	1	no	—
726	#123	—	2	1	no	—
727	#123	—	2	1	no	—
728	#123	—	2	1	no	—
729	#123	—	2	1	no	—
730	#123	—	2	1	no	—
731	#123	—	2	1	no	—
732	#123	—	2	1	no	—
733	#123	—	2	1	no	—
734	#123	—	2	1	no	—
735	#123	—	2	1	no	—
736	#123	—	2	1	no	—
737	#123	—	2	1	no	—
738	#123	—	2	1	no	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	1	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
747	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
748	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
749	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
750	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
751	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
752	#121	—	2	1	no	—
753	#121	—	2	1	no	—
754	#121	—	2	1	no	—
755	#121	—	2	1	no	—
756	#121	—	2	1	no	—
757	#121	—	2	1	no	—
758	#121	—	2	1	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	1	no	—
762	#121	—	2	1	no	—
763	#121	C₂²×C₄	1	1	yes	characteristic
764	#121	C₂²×C₄	1	1	yes	characteristic
765	#121	C₂²×C₄	1	1	yes	characteristic
766	#121	C₂²×C₄	1	1	yes	characteristic
767	#121	C₂²×C₄	1	1	yes	characteristic
768	#121	C₂²×C₄	1	1	yes	characteristic
769	#120	—	2	1	no	—
770	#120	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
777	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
778	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
779	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
780	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
781	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
782	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
783	C₄×Q₈	#41	1	1	yes	characteristic
784	C₄×Q₈	C₂⁴	1	1	yes	characteristic
785	C₄×Q₈	C₂⁴	1	1	yes	characteristic
786	C₄×Q₈	C₂⁴	1	1	yes	characteristic
787	C₄×Q₈	C₂⁴	1	1	yes	characteristic
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
810	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
811	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
812	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
813	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
814	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
815	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
816	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
817	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
818	C₄×D₄	#41	1	1	yes	characteristic
819	C₄×D₄	#41	1	1	yes	characteristic
820	C₄×D₄	#41	1	1	yes	characteristic
821	C₄×D₄	C₂⁴	1	1	yes	characteristic
822	C₄×D₄	C₂⁴	1	1	yes	characteristic
823	C₄×D₄	C₂⁴	1	1	yes	characteristic
824	C₄×D₄	C₂⁴	1	1	yes	characteristic
825	#117	—	2	1	no	—
826	#117	—	2	1	no	—
827	#117	—	2	1	no	—
828	#117	—	2	1	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	—	2	1	no	—
832	#117	—	2	1	no	—
833	#117	—	2	1	no	—
834	#117	—	2	1	no	—
835	#117	—	2	1	no	—
836	#117	—	2	1	no	—
837	#117	—	2	1	no	—
838	#117	C₂²×C₄	1	1	yes	characteristic
839	#117	C₂²×C₄	1	1	yes	characteristic
840	#117	C₂²×C₄	1	1	yes	characteristic
841	#117	C₂²×C₄	1	1	yes	characteristic
842	#117	C₂×D₄	1	1	yes	characteristic
843	#117	C₂×D₄	1	1	yes	characteristic
844	#117	C₂×D₄	1	1	yes	characteristic
845	C₂×C₄⋊C₄	—	2	1	no	—
846	C₂×C₄⋊C₄	—	2	1	no	—
847	C₂×C₄⋊C₄	—	2	1	no	—
848	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	—	2	1	no	—
851	C₂×C₂²⋊C₄	—	2	1	no	—
852	C₂×C₂²⋊C₄	—	2	1	no	—
853	C₂×C₄²	—	2	1	no	—
854	C₂×C₄²	—	2	1	no	—
855	C₂×C₄²	—	2	1	no	—
856	C₂×C₄²	—	2	1	no	—
857	C₂×C₄²	—	2	1	no	—
858	C₂×C₄²	C₂⁴	1	1	yes	characteristic
859	C₂×C₄²	C₂⁴	1	1	yes	characteristic
860	C₂×C₄²	C₂⁴	1	1	yes	characteristic
861	#107	C₂²×C₄	1	1	yes	characteristic
862	#107	C₂²×C₄	1	1	yes	characteristic
863	#107	C₂²×C₄	1	1	yes	characteristic
864	#107	C₂²×C₄	1	1	yes	characteristic
865	#107	C₂²×C₄	1	1	yes	characteristic
866	#107	C₂²×C₄	1	1	yes	characteristic
867	#107	C₂²×C₄	1	1	yes	characteristic
868	#107	C₂²×C₄	1	1	yes	characteristic
869	#106	C₂²×C₄	1	1	yes	characteristic
870	#106	C₂²×C₄	1	1	yes	characteristic
871	#106	C₂²×C₄	1	1	yes	characteristic
872	#106	C₂²×C₄	1	1	yes	characteristic
873	#106	C₂²×C₄	1	1	yes	characteristic
874	#106	C₂²×C₄	1	1	yes	characteristic
875	#106	C₂²×C₄	1	1	yes	characteristic
876	#106	C₂²×C₄	1	1	yes	characteristic
877	C₄⋊C₈	—	2	1	no	—
878	C₄⋊C₈	—	2	1	no	—
879	C₄⋊C₈	—	2	1	no	—
880	C₄⋊C₈	—	2	1	no	—
881	C₄⋊C₈	—	2	1	no	—
882	C₄⋊C₈	—	2	1	no	—
883	C₄⋊C₈	—	2	1	no	—
884	C₄⋊C₈	—	2	1	no	—
885	C₄⋊C₈	—	2	1	no	—
886	C₄⋊C₈	—	2	1	no	—
887	C₄⋊C₈	—	2	1	no	—
888	C₄⋊C₈	—	2	1	no	—
889	C₄⋊C₈	—	2	1	no	—
890	C₄⋊C₈	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
901	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
902	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
903	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
904	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
905	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
906	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
907	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
908	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
909	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
910	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
911	C₄⋊C₈	C₂×D₄	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	C₂⁴	1	1	yes	characteristic
915	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
916	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
917	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
918	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
919	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
920	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
921	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
922	#103	C₂²×C₄	1	1	yes	characteristic
923	#103	C₂²×C₄	1	1	yes	characteristic
924	#103	C₂²×C₄	1	1	yes	characteristic
925	#103	C₂²×C₄	1	1	yes	characteristic
926	#103	C₂²×C₄	1	1	yes	characteristic
927	#103	C₂²×C₄	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	#103	C₂²×C₄	1	1	yes	characteristic
937	#103	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	C₂²⋊C₈	—	2	1	no	—
955	C₂²⋊C₈	—	2	1	no	—
956	C₂²⋊C₈	—	2	1	no	—
957	C₂²⋊C₈	—	2	1	no	—
958	C₂²⋊C₈	—	2	1	no	—
959	C₂²⋊C₈	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
982	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
983	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
984	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
985	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
986	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
987	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
988	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
989	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
990	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
991	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
992	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
993	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
994	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
995	#97	—	2	1	no	—
996	#97	—	2	1	no	—
997	#97	—	2	1	no	—
998	#97	—	2	1	no	—
999	#97	—	2	1	no	—
1000	#97	—	2	1	no	—
1001	#97	—	2	1	no	—
1002	#97	—	2	1	no	—
1003	#97	—	2	1	no	—
1004	#97	—	2	1	no	—
1005	#97	—	2	1	no	—
1006	#97	—	2	1	no	—
1007	#97	—	2	1	no	—
1008	#97	—	2	1	no	—
1009	#97	C₂²×C₄	1	1	yes	characteristic
1010	#97	C₂²×C₄	1	1	yes	characteristic
1011	#97	C₂²×C₄	1	1	yes	characteristic
1012	#97	C₂²×C₄	1	1	yes	characteristic
1013	#97	C₂×D₄	1	1	yes	characteristic
1014	#97	C₂×D₄	1	1	yes	characteristic
1015	C₄×C₈	—	2	1	no	—
1016	C₄×C₈	—	2	1	no	—
1017	C₄×C₈	—	2	1	no	—
1018	C₄×C₈	—	2	1	no	—
1019	C₄×C₈	—	2	1	no	—
1020	C₄×C₈	—	2	1	no	—
1021	C₄×C₈	—	2	1	no	—
1022	C₄×C₈	—	2	1	no	—
1023	C₄×C₈	—	2	1	no	—
1024	C₄×C₈	—	2	1	no	—
1025	C₄×C₈	—	2	1	no	—
1026	C₄×C₈	—	2	1	no	—
1027	C₄×C₈	—	2	1	no	—
1028	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1029	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1030	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1031	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1032	C₄×C₈	C₂⁴	1	1	yes	characteristic
1033	C₄×C₈	C₂⁴	1	1	yes	characteristic
1034	C₄×C₈	C₂⁴	1	1	yes	characteristic
1035	C₄×C₈	C₂⁴	1	1	yes	characteristic
1036	C₄×C₈	C₂⁴	1	1	yes	characteristic
1037	C₄×C₈	C₂⁴	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	C₂⁴	—	2	1	no	—
1045	#41	—	2	2	no	—
1046	#41	—	2	2	no	—
1047	#41	—	4	1	no	—
1048	#41	—	4	1	no	—
1049	#41	—	4	1	no	—
1050	#41	—	4	1	no	—
1051	#41	—	4	1	no	—
1052	#41	—	4	1	no	—
1053	#41	—	4	1	no	—
1054	#41	—	4	1	no	—
1055	#41	—	8	1	no	—
1056	#41	—	8	1	no	—
1057	C₂×Q₈	—	2	1	no	—
1058	C₂×Q₈	—	2	1	no	—
1059	C₂×Q₈	—	2	1	no	—
1060	C₂×Q₈	—	4	1	no	—
1061	C₂×Q₈	—	4	1	no	—
1062	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1063	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1064	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1065	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1066	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1067	C₂×D₄	—	2	2	no	—
1068	C₂×D₄	—	2	1	no	—
1069	C₂×D₄	—	2	1	no	—
1070	C₂×D₄	—	2	1	no	—
1071	C₂×D₄	—	2	1	no	—
1072	C₂×D₄	—	2	1	no	—
1073	C₂×D₄	—	2	1	no	—
1074	C₂×D₄	—	2	1	no	—
1075	C₂×D₄	—	2	1	no	—
1076	C₂×D₄	—	2	1	no	—
1077	C₂×D₄	—	2	1	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	4	1	no	—
1082	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1083	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1084	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1085	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1086	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1087	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1088	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1089	C₂²×C₄	—	2	1	no	—
1090	C₂²×C₄	—	2	1	no	—
1091	C₂²×C₄	—	2	1	no	—
1092	C₂²×C₄	—	2	1	no	—
1093	C₂²×C₄	—	2	1	no	—
1094	C₂²×C₄	—	2	1	no	—
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	2	1	no	—
1102	C₂²×C₄	—	2	1	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	8	1	no	—
1107	C₂²×C₄	—	8	1	no	—
1108	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1111	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1112	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1113	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1114	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1115	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1116	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1117	Q₁₆	—	4	1	no	—
1118	Q₁₆	—	4	1	no	—
1119	Q₁₆	—	4	1	no	—
1120	Q₁₆	—	4	1	no	—
1121	SD₁₆	—	2	2	no	—
1122	SD₁₆	—	2	2	no	—
1123	SD₁₆	—	4	1	no	—
1124	SD₁₆	—	4	1	no	—
1125	SD₁₆	—	4	1	no	—
1126	SD₁₆	—	4	1	no	—
1127	SD₁₆	—	4	1	no	—
1128	SD₁₆	—	4	1	no	—
1129	D₈	—	2	2	no	—
1130	D₈	—	2	2	no	—
1131	D₈	—	4	1	no	—
1132	D₈	—	4	1	no	—
1133	M₁₆	—	4	1	no	—
1134	M₁₆	—	4	1	no	—
1135	M₁₆	—	4	1	no	—
1136	M₁₆	—	4	1	no	—
1137	M₁₆	—	4	1	no	—
1138	M₁₆	—	4	1	no	—
1139	M₁₆	—	8	1	no	—
1140	M₁₆	—	8	1	no	—
1141	M₁₆	—	8	1	no	—
1142	M₁₆	—	8	1	no	—
1143	M₁₆	—	8	1	no	—
1144	M₁₆	—	8	1	no	—
1145	M₁₆	—	8	1	no	—
1146	M₁₆	—	8	1	no	—
1147	C₂×C₈	—	2	1	no	—
1148	C₂×C₈	—	2	1	no	—
1149	C₂×C₈	—	2	1	no	—
1150	C₂×C₈	—	2	1	no	—
1151	C₂×C₈	—	2	1	no	—
1152	C₂×C₈	—	2	1	no	—
1153	C₂×C₈	—	2	1	no	—
1154	C₂×C₈	—	2	1	no	—
1155	C₂×C₈	—	2	1	no	—
1156	C₂×C₈	—	2	1	no	—
1157	C₂×C₈	—	2	1	no	—
1158	C₂×C₈	—	2	1	no	—
1159	C₂×C₈	—	4	1	no	—
1160	C₂×C₈	—	4	1	no	—
1161	C₂×C₈	—	4	1	no	—
1162	C₂×C₈	—	4	1	no	—
1163	C₂×C₈	—	8	1	no	—
1164	C₂×C₈	—	8	1	no	—
1165	C₂×C₈	—	8	1	no	—
1166	C₂×C₈	—	8	1	no	—
1167	C₂×C₈	—	8	1	no	—
1168	C₂×C₈	—	8	1	no	—
1169	C₂×C₈	—	8	1	no	—
1170	C₂×C₈	—	8	1	no	—
1171	C₂×C₈	—	8	1	no	—
1172	C₂×C₈	—	8	1	no	—
1173	C₂×C₈	—	8	1	no	—
1174	C₂×C₈	—	8	1	no	—
1175	C₂×C₈	—	8	1	no	—
1176	C₂×C₈	—	8	1	no	—
1177	C₂×C₈	—	8	1	no	—
1178	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1179	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1180	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1181	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1182	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1183	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1184	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1185	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1186	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1187	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1188	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1189	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1190	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1191	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1192	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1193	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1194	C₄⋊C₄	—	2	1	no	—
1195	C₄⋊C₄	—	2	1	no	—
1196	C₄⋊C₄	—	2	1	no	—
1197	C₄⋊C₄	—	2	1	no	—
1198	C₄⋊C₄	—	2	1	no	—
1199	C₄⋊C₄	—	2	1	no	—
1200	C₄⋊C₄	—	2	1	no	—
1201	C₄⋊C₄	—	2	1	no	—
1202	C₄⋊C₄	—	2	1	no	—
1203	C₄⋊C₄	—	2	1	no	—
1204	C₄⋊C₄	—	2	1	no	—
1205	C₄⋊C₄	—	2	1	no	—
1206	C₄⋊C₄	—	2	1	no	—
1207	C₄⋊C₄	—	2	1	no	—
1208	C₄⋊C₄	—	2	1	no	—
1209	C₄⋊C₄	—	2	1	no	—
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	—	2	1	no	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	1	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	—	2	1	no	—
1218	C₄⋊C₄	—	2	1	no	—
1219	C₄⋊C₄	—	2	1	no	—
1220	C₄⋊C₄	—	2	1	no	—
1221	C₄⋊C₄	—	2	1	no	—
1222	C₄⋊C₄	—	2	1	no	—
1223	C₄⋊C₄	—	2	1	no	—
1224	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1225	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1226	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1227	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1228	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1229	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1230	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1231	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1232	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1233	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1234	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1235	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1236	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1237	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1238	C₂²⋊C₄	—	2	1	no	—
1239	C₂²⋊C₄	—	2	1	no	—
1240	C₂²⋊C₄	—	2	1	no	—
1241	C₂²⋊C₄	—	2	1	no	—
1242	C₂²⋊C₄	—	2	1	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	1	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	1	no	—
1247	C₂²⋊C₄	—	2	1	no	—
1248	C₂²⋊C₄	—	2	1	no	—
1249	C₂²⋊C₄	—	2	1	no	—
1250	C₂²⋊C₄	—	2	1	no	—
1251	C₂²⋊C₄	—	2	1	no	—
1252	C₂²⋊C₄	—	2	1	no	—
1253	C₂²⋊C₄	—	2	1	no	—
1254	C₂²⋊C₄	—	2	1	no	—
1255	C₂²⋊C₄	—	2	1	no	—
1256	C₂²⋊C₄	—	2	1	no	—
1257	C₂²⋊C₄	—	2	1	no	—
1258	C₂²⋊C₄	—	2	1	no	—
1259	C₂²⋊C₄	—	2	1	no	—
1260	C₂²⋊C₄	—	2	1	no	—
1261	C₂²⋊C₄	—	2	1	no	—
1262	C₂²⋊C₄	—	2	1	no	—
1263	C₂²⋊C₄	—	2	1	no	—
1264	C₂²⋊C₄	—	2	1	no	—
1265	C₂²⋊C₄	—	2	1	no	—
1266	C₂²⋊C₄	—	2	1	no	—
1267	C₂²⋊C₄	—	2	1	no	—
1268	C₂²⋊C₄	—	2	1	no	—
1269	C₂²⋊C₄	—	2	1	no	—
1270	C₂²⋊C₄	—	2	1	no	—
1271	C₂²⋊C₄	—	2	1	no	—
1272	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1273	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1274	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1275	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1276	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1277	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1278	C₄²	—	2	1	no	—
1279	C₄²	—	2	1	no	—
1280	C₄²	—	2	1	no	—
1281	C₄²	—	2	1	no	—
1282	C₄²	—	2	1	no	—
1283	C₄²	—	2	1	no	—
1284	C₄²	—	2	1	no	—
1285	C₄²	—	2	1	no	—
1286	C₄²	—	2	1	no	—
1287	C₄²	—	2	1	no	—
1288	C₄²	—	2	1	no	—
1289	C₄²	—	2	1	no	—
1290	C₄²	—	2	1	no	—
1291	C₄²	—	2	1	no	—
1292	C₄²	C₂³×C₄	1	1	yes	characteristic
1293	C₄²	C₂³×C₄	1	1	yes	characteristic
1294	C₄²	C₂³×C₄	1	1	yes	characteristic
1295	C₄²	C₂²×D₄	1	1	yes	characteristic
1296	C₄²	C₂²×D₄	1	1	yes	characteristic
1297	C₄²	C₂²×D₄	1	1	yes	characteristic
1298	C₄²	C₂×#41	1	1	yes	characteristic
1299	C₄²	C₂×#41	1	1	yes	characteristic
1300	C₄²	C₂×#41	1	1	yes	characteristic
1301	C₄²	C₂⁵	1	1	yes	characteristic
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	4	2	no	—
1307	C₂³	—	8	1	no	—
1308	C₂³	—	8	1	no	—
1309	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1310	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1311	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1312	Q₈	—	2	1	no	—
1313	Q₈	—	2	1	no	—
1314	Q₈	—	2	1	no	—
1315	Q₈	—	2	1	no	—
1316	Q₈	—	2	1	no	—
1317	Q₈	—	2	1	no	—
1318	Q₈	—	2	1	no	—
1319	Q₈	—	2	1	no	—
1320	Q₈	—	4	1	no	—
1321	Q₈	—	8	1	no	—
1322	Q₈	—	8	1	no	—
1323	Q₈	—	8	1	no	—
1324	D₄	—	2	1	no	—
1325	D₄	—	2	1	no	—
1326	D₄	—	2	1	no	—
1327	D₄	—	2	1	no	—
1328	D₄	—	2	1	no	—
1329	D₄	—	2	1	no	—
1330	D₄	—	2	1	no	—
1331	D₄	—	4	1	no	—
1332	D₄	—	4	1	no	—
1333	D₄	—	4	1	no	—
1334	D₄	—	4	2	no	—
1335	D₄	—	4	2	no	—
1336	D₄	—	4	2	no	—
1337	D₄	—	8	1	no	—
1338	D₄	—	8	1	no	—
1339	D₄	—	8	1	no	—
1340	D₄	—	8	1	no	—
1341	D₄	—	8	1	no	—
1342	D₄	—	8	1	no	—
1343	D₄	—	8	1	no	—
1344	D₄	—	8	1	no	—
1345	D₄	—	8	1	no	—
1346	D₄	—	8	1	no	—
1347	D₄	#568	1	2	yes	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	4	1	no	—
1373	C₂×C₄	—	4	1	no	—
1374	C₂×C₄	—	4	1	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	2	no	—
1377	C₂×C₄	—	4	1	no	—
1378	C₂×C₄	—	4	1	no	—
1379	C₂×C₄	—	4	1	no	—
1380	C₂×C₄	—	4	1	no	—
1381	C₂×C₄	—	4	1	no	—
1382	C₂×C₄	—	4	1	no	—
1383	C₂×C₄	—	4	1	no	—
1384	C₂×C₄	—	4	1	no	—
1385	C₂×C₄	—	8	1	no	—
1386	C₂×C₄	—	8	1	no	—
1387	C₂×C₄	—	8	1	no	—
1388	C₂×C₄	—	8	1	no	—
1389	C₂×C₄	—	8	1	no	—
1390	C₂×C₄	—	8	1	no	—
1391	C₂×C₄	—	8	1	no	—
1392	C₂×C₄	—	8	1	no	—
1393	C₂×C₄	—	8	1	no	—
1394	C₂×C₄	—	8	1	no	—
1395	C₂×C₄	—	8	1	no	—
1396	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1397	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1398	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1399	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1400	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1401	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1402	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1403	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1404	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1405	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1406	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1407	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1408	C₈	—	2	1	no	—
1409	C₈	—	2	1	no	—
1410	C₈	—	2	1	no	—
1411	C₈	—	2	1	no	—
1412	C₈	—	2	1	no	—
1413	C₈	—	2	1	no	—
1414	C₈	—	2	1	no	—
1415	C₈	—	2	1	no	—
1416	C₈	—	2	1	no	—
1417	C₈	—	2	1	no	—
1418	C₈	—	2	1	no	—
1419	C₈	—	2	1	no	—
1420	C₈	—	2	1	no	—
1421	C₈	—	2	1	no	—
1422	C₈	—	2	1	no	—
1423	C₈	—	2	1	no	—
1424	C₈	—	4	1	no	—
1425	C₈	—	4	1	no	—
1426	C₈	—	4	1	no	—
1427	C₈	—	4	1	no	—
1428	C₈	—	4	1	no	—
1429	C₈	—	4	1	no	—
1430	C₈	—	4	1	no	—
1431	C₈	—	4	1	no	—
1432	C₈	—	4	1	no	—
1433	C₈	—	4	1	no	—
1434	C₈	—	4	1	no	—
1435	C₈	—	4	1	no	—
1436	C₂²	—	2	1	no	—
1437	C₂²	—	2	1	no	—
1438	C₂²	—	2	1	no	—
1439	C₂²	—	2	1	no	—
1440	C₂²	—	2	1	no	—
1441	C₂²	—	2	1	no	—
1442	C₂²	—	2	1	no	—
1443	C₂²	—	2	1	no	—
1444	C₂²	—	2	1	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	16	2	no	—
1458	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1459	C₄	—	2	1	no	—
1460	C₄	—	2	1	no	—
1461	C₄	—	2	1	no	—
1462	C₄	—	2	1	no	—
1463	C₄	—	2	1	no	—
1464	C₄	—	2	1	no	—
1465	C₄	—	2	1	no	—
1466	C₄	—	2	1	no	—
1467	C₄	—	2	1	no	—
1468	C₄	—	2	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	C₂×#568	1	1	yes	characteristic
1482	C₄	#3573	1	1	yes	characteristic
1483	C₄	#3584	1	1	yes	characteristic
1484	C₄	#3584	1	1	yes	characteristic
1485	C₂	—	4	1	no	—
1486	C₂	—	4	1	no	—
1487	C₂	—	4	1	no	—
1488	C₂	—	4	2	no	—
1489	C₂	—	8	1	no	—
1490	C₂	—	8	1	no	—
1491	C₂	—	8	1	no	—
1492	C₂	#60146	1	1	yes	characteristic
1493	C₂	#60161	1	1	yes	characteristic
1494	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	#61441	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. #60302	C₂	semidirect
3. #60298	C₂	semidirect
4. #18081	C₂	semidirect
5. #18080	C₂	semidirect
6. #18074	C₂	semidirect
7. #18051	C₂	semidirect
8. #18050	C₂	semidirect
9. #18045	C₂	semidirect
10. #18023	C₂	semidirect
11. #18022	C₂	semidirect
12. #18021	C₂	semidirect
13. #18020	C₂	semidirect
14. #17996	C₂	semidirect
15. #17996	C₂	semidirect
16. #17988	C₂	semidirect
17. #17987	C₂	semidirect
18. #17978	C₂	semidirect
19. #17949	C₂	semidirect
20. #17947	C₂	semidirect
21. #17937	C₂	semidirect
22. #17920	C₂	semidirect
23. #17918	C₂	semidirect
24. #17909	C₂	semidirect
25. #17876	C₂	semidirect
26. #17873	C₂	semidirect
27. #17863	C₂	semidirect
28. #17831	C₂	semidirect
29. #17510	C₂	semidirect
30. #17508	C₂	semidirect
31. #17329	C₂	semidirect
73. #2984	C₂²	semidirect
74. #2983	C₂²	semidirect
76. #2981	C₂²	semidirect
78. #2979	C₂²	semidirect
84. #2970	C₂²	semidirect
86. #2969	C₂²	semidirect
92. #2966	C₂²	semidirect
94. #2965	C₂²	semidirect
108. #1593	C₂²	semidirect
109. #1593	C₂²	semidirect
110. #1593	C₂²	semidirect
113. #1592	C₂²	semidirect
114. #1592	C₂²	semidirect
115. #1591	C₂²	semidirect
116. #1591	C₂²	semidirect
118. #1590	C₂²	semidirect
119. #1588	C₂²	semidirect
120. #1588	C₂²	semidirect
121. #1587	C₂²	semidirect
122. #1587	C₂²	semidirect
123. #1587	C₂²	semidirect
124. #1587	C₂²	semidirect
133. #1585	C₂²	semidirect
134. #1585	C₂²	semidirect
135. #1584	C₂²	semidirect
136. #1584	C₂²	semidirect
137. #1584	C₂²	semidirect
138. #1584	C₂²	semidirect
139. #1584	C₂²	semidirect
140. #1584	C₂²	semidirect
142. #1583	C₂²	semidirect
143. #1583	C₂²	semidirect
144. #1583	C₂²	semidirect
150. #1582	C₂²	semidirect
151. #1582	C₂²	semidirect
152. #1582	C₂²	semidirect
162. #1579	C₂²	semidirect
165. SD₁₆⋊C₈	C₂²	semidirect
166. SD₁₆⋊C₈	C₂²	semidirect
168. C₈×SD₁₆	C₂²	semidirect
172. #1574	C₂²	semidirect
174. #1573	C₂²	semidirect
175. #1572	C₂²	semidirect
176. #1572	C₂²	semidirect
178. #1569	C₂²	semidirect
179. #1568	C₂²	semidirect
181. #1565	C₂²	semidirect
182. #1564	C₂²	semidirect
186. #1494	C₂²	semidirect
188. #1492	C₂²	semidirect
192. #1488	C₂²	semidirect
193. #1487	C₂²	semidirect
198. #1482	C₂²	semidirect
200. #1480	C₂²	semidirect
204. #1476	C₂²	semidirect
205. C₂×Q₈⋊C₈	C₂²	semidirect
208. #1454	C₂²	semidirect
210. #1453	C₂²	semidirect
212. #1452	C₂²	semidirect
213. #1452	C₂²	semidirect
215. #1451	C₂²	semidirect
216. #1451	C₂²	semidirect
217. C₈×M₁₆	C₂²	semidirect
218. C₂×#322	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#61441	2
#60302	2
#60298	2
#18081	2
#18080	2
#18074	2
#18051	2
#18050	2
#18045	2
#18023	2
#18022	2
#18021	2
#18020	2
#17996	2
#17988	2
#17987	2
#17978	2
#17949	2
#17947	2
#17937	2
#17920	2
#17918	2
#17909	2
#17876	2
#17873	2
#17863	2
#17831	2
#17510	2
#17508	2
#17329	2