Subgroups — #6345263

Order 512.

1564 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60955	C₂	1	1	yes	maximal, characteristic
2	#60321	C₂	1	1	yes	maximal, characteristic, complemented
3	#60306	C₂	1	1	yes	maximal, characteristic, complemented
4	#17985	C₂	1	1	yes	maximal, characteristic, complemented
5	#17983	C₂	1	1	yes	maximal, characteristic, complemented
6	#17978	C₂	1	1	yes	maximal, characteristic, complemented
7	#17975	C₂	1	1	yes	maximal, characteristic, complemented
8	#17973	C₂	1	1	yes	maximal, characteristic, complemented
9	#17970	C₂	1	1	yes	maximal, characteristic, complemented
10	#17968	C₂	1	1	yes	maximal, characteristic, complemented
11	#17968	C₂	1	1	yes	maximal, characteristic, complemented
12	#17954	C₂	1	1	yes	maximal, characteristic, complemented
13	#17950	C₂	1	1	yes	maximal, characteristic, complemented
14	#17948	C₂	1	1	yes	maximal, characteristic, complemented
15	#17946	C₂	1	1	yes	maximal, characteristic, complemented
16	#17940	C₂	1	1	yes	maximal, characteristic, complemented
17	#17938	C₂	1	1	yes	maximal, characteristic, complemented
18	#17932	C₂	1	1	yes	maximal, characteristic, complemented
19	#17928	C₂	1	1	yes	maximal, characteristic, complemented
20	#17926	C₂	1	1	yes	maximal, characteristic, complemented
21	#17922	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	#17917	C₂	1	1	yes	maximal, characteristic, complemented
25	#17914	C₂	1	1	yes	maximal, characteristic, complemented
26	#17904	C₂	1	1	yes	maximal, characteristic, complemented
27	#17900	C₂	1	1	yes	maximal, characteristic, complemented
28	#17825	C₂	1	1	yes	maximal, characteristic, complemented
29	#17505	C₂	1	1	yes	maximal, characteristic, complemented
30	#17505	C₂	1	1	yes	maximal, characteristic, complemented
31	#17330	C₂	1	1	yes	maximal, characteristic, complemented
32	#3460	C₂²	1	1	yes	characteristic
33	#3460	C₂²	1	1	yes	characteristic
34	#3262	C₄	1	1	yes	characteristic
35	#3259	C₄	1	1	yes	characteristic
36	#3257	C₄	1	1	yes	characteristic
37	#3257	C₄	1	1	yes	characteristic
38	#3243	C₄	1	1	yes	characteristic
39	#3243	C₄	1	1	yes	characteristic
40	#3241	C₄	1	1	yes	characteristic
41	#3241	C₄	1	1	yes	characteristic
42	#3224	C₄	1	1	yes	characteristic
43	#3224	C₄	1	1	yes	characteristic
44	#3220	C₄	1	1	yes	characteristic
45	#3220	C₄	1	1	yes	characteristic
46	#3203	C₄	1	1	yes	characteristic
47	#3199	C₄	1	1	yes	characteristic
48	#3198	C₄	1	1	yes	characteristic
49	#3198	C₄	1	1	yes	characteristic
50	#3171	C₂²	1	1	yes	characteristic
51	#3171	C₂²	1	1	yes	characteristic
52	#3169	C₂²	1	1	yes	characteristic
53	#3168	C₂²	1	1	yes	characteristic
54	#3106	C₂²	1	1	yes	characteristic
55	#3106	C₂²	1	1	yes	characteristic
56	#3105	C₂²	1	1	yes	characteristic
57	#3105	C₂²	1	1	yes	characteristic
58	#3102	C₂²	1	1	yes	characteristic
59	#3102	C₂²	1	1	yes	characteristic
60	#3100	C₂²	1	1	yes	characteristic
61	#3100	C₂²	1	1	yes	characteristic
62	#2994	—	2	1	no	—
63	#2993	—	2	1	no	—
64	#2993	C₂²	1	1	yes	characteristic
65	#2993	C₂²	1	1	yes	characteristic
66	#2993	C₂²	1	1	yes	characteristic, complemented
67	#2993	C₂²	1	1	yes	characteristic, complemented
68	#2989	C₂²	1	1	yes	characteristic
69	#2989	C₂²	1	1	yes	characteristic
70	#2989	C₂²	1	1	yes	characteristic, complemented
71	#2988	C₂²	1	1	yes	characteristic, complemented
72	#2981	—	2	1	no	—
73	#2981	C₂²	1	1	yes	characteristic
74	#2981	C₂²	1	1	yes	characteristic
75	#2981	C₂²	1	1	yes	characteristic, complemented
76	#2981	C₂²	1	1	yes	characteristic, complemented
77	#2979	—	2	1	no	—
78	#2977	—	2	1	no	—
79	#2977	—	2	1	no	—
80	#2976	—	2	1	no	—
81	#2976	—	2	1	no	—
82	#2975	C₂²	1	1	yes	characteristic, complemented
83	#2972	C₂²	1	1	yes	characteristic, complemented
84	#2969	—	2	1	no	—
85	#2966	—	2	1	no	—
86	#2966	C₂²	1	1	yes	characteristic
87	#2966	C₂²	1	1	yes	characteristic
88	#2966	C₂²	1	1	yes	characteristic, complemented
89	#2966	C₂²	1	1	yes	characteristic, complemented
90	#2965	C₂²	1	1	yes	characteristic
91	#2965	C₂²	1	1	yes	characteristic, complemented
92	C₈×#41	C₂²	1	1	yes	characteristic
93	C₈×#41	C₂²	1	1	yes	characteristic, complemented
94	#2935	—	2	1	no	—
95	#2933	—	2	1	no	—
96	#2933	—	2	1	no	—
97	#2931	—	2	1	no	—
98	#2931	C₂²	1	1	yes	characteristic
99	#2931	C₂²	1	1	yes	characteristic
100	#2931	C₂²	1	1	yes	characteristic, complemented
101	#2931	C₂²	1	1	yes	characteristic, complemented
102	#2929	—	2	1	no	—
103	#2929	—	2	1	no	—
104	C₂×#436	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
106	#2922	C₂²	1	1	yes	characteristic
107	#1594	C₂²	1	1	yes	characteristic
108	#1594	C₂²	1	1	yes	characteristic
109	#1594	C₂²	1	1	yes	characteristic, complemented
110	#1594	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	#1591	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
119	#1589	C₂²	1	1	yes	characteristic
120	#1589	C₂²	1	1	yes	characteristic, complemented
121	#1589	C₂²	1	1	yes	characteristic, complemented
122	#1589	C₂²	1	1	yes	characteristic, complemented
123	#1588	C₂²	1	1	yes	characteristic, complemented
124	#1588	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, complemented
128	#1586	C₂²	1	1	yes	characteristic, complemented
129	#1585	C₂²	1	1	yes	characteristic, complemented
130	#1585	C₂²	1	1	yes	characteristic, complemented
131	#1584	C₂²	1	1	yes	characteristic, complemented
132	#1584	C₂²	1	1	yes	characteristic, complemented
133	#1583	C₂²	1	1	yes	characteristic, complemented
134	#1583	C₂²	1	1	yes	characteristic, complemented
135	#1583	C₂²	1	1	yes	characteristic, complemented
136	#1583	C₂²	1	1	yes	characteristic, complemented
137	#1582	C₂²	1	1	yes	characteristic, complemented
138	#1582	C₂²	1	1	yes	characteristic, complemented
139	#1582	C₂²	1	1	yes	characteristic, complemented
140	#1582	C₂²	1	1	yes	characteristic, complemented
141	#1581	C₂²	1	1	yes	characteristic
142	#1581	C₂²	1	1	yes	characteristic
143	#1581	C₂²	1	1	yes	characteristic
144	#1581	C₂²	1	1	yes	characteristic
145	#1581	C₂²	1	1	yes	characteristic
146	#1581	C₂²	1	1	yes	characteristic
147	#1581	C₂²	1	1	yes	characteristic, complemented
148	#1581	C₂²	1	1	yes	characteristic, complemented
149	#1581	C₂²	1	1	yes	characteristic, complemented
150	#1581	C₂²	1	1	yes	characteristic, complemented
151	#1581	C₂²	1	1	yes	characteristic, complemented
152	#1581	C₂²	1	1	yes	characteristic, complemented
153	#1581	C₂²	1	1	yes	characteristic, complemented
154	#1581	C₂²	1	1	yes	characteristic, complemented
155	#1580	C₂²	1	1	yes	characteristic
156	#1580	C₂²	1	1	yes	characteristic
157	#1580	C₂²	1	1	yes	characteristic, complemented
158	#1580	C₂²	1	1	yes	characteristic, complemented
159	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
160	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
161	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
162	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
163	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
165	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
166	C₈×D₈	C₂²	1	1	yes	characteristic
167	C₈×D₈	C₂²	1	1	yes	characteristic
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	#1571	C₂²	1	1	yes	characteristic, complemented
178	#1571	C₂²	1	1	yes	characteristic, complemented
179	#1569	C₂²	1	1	yes	characteristic, complemented
180	#1569	C₂²	1	1	yes	characteristic, complemented
181	#1568	C₂²	1	1	yes	characteristic, complemented
182	#1567	C₂²	1	1	yes	characteristic, complemented
183	#1496	C₂²	1	1	yes	characteristic, complemented
184	#1496	C₂²	1	1	yes	characteristic, complemented
185	#1495	C₂²	1	1	yes	characteristic, complemented
186	#1495	C₂²	1	1	yes	characteristic, complemented
187	#1494	C₂²	1	1	yes	characteristic, complemented
188	#1494	C₂²	1	1	yes	characteristic, complemented
189	#1492	C₂²	1	1	yes	characteristic, complemented
190	#1492	C₂²	1	1	yes	characteristic, complemented
191	#1490	C₂²	1	1	yes	characteristic, complemented
192	#1490	C₂²	1	1	yes	characteristic, complemented
193	#1489	C₂²	1	1	yes	characteristic, complemented
194	#1489	C₂²	1	1	yes	characteristic, complemented
195	#1488	C₂²	1	1	yes	characteristic, complemented
196	#1488	C₂²	1	1	yes	characteristic, complemented
197	#1486	C₂²	1	1	yes	characteristic, complemented
198	#1486	C₂²	1	1	yes	characteristic, complemented
199	#1484	C₂²	1	1	yes	characteristic
200	#1484	C₂²	1	1	yes	characteristic
201	#1483	C₂²	1	1	yes	characteristic
202	#1483	C₂²	1	1	yes	characteristic
203	#1482	C₂²	1	1	yes	characteristic
204	#1482	C₂²	1	1	yes	characteristic
205	#1480	C₂²	1	1	yes	characteristic
206	#1480	C₂²	1	1	yes	characteristic
207	#1454	C₂²	1	1	yes	characteristic, complemented
208	#1454	C₂²	1	1	yes	characteristic, complemented
209	#1453	C₂²	1	1	yes	characteristic, complemented
210	#1453	C₂²	1	1	yes	characteristic, complemented
211	#1451	C₂²	1	1	yes	characteristic, complemented
212	#1451	C₂²	1	1	yes	characteristic, complemented
213	#1451	C₂²	1	1	yes	characteristic, complemented
214	#1450	C₂²	1	1	yes	characteristic, complemented
215	#1450	C₂²	1	1	yes	characteristic, complemented
216	#1450	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×#131	—	2	1	no	—
220	C₂×#131	—	2	1	no	—
221	C₂×#131	—	2	1	no	—
222	C₂×#131	—	2	1	no	—
223	C₂²×M₁₆	—	2	1	no	—
224	C₂³×C₈	—	2	1	no	—
225	#544	C₂×C₄	1	1	yes	characteristic
226	#544	C₂×C₄	1	1	yes	characteristic
227	#542	—	2	1	no	—
228	#542	—	2	1	no	—
229	#542	C₂×C₄	1	1	yes	characteristic
230	#542	C₂×C₄	1	1	yes	characteristic
231	#542	C₂×C₄	1	1	yes	characteristic
232	#542	C₂×C₄	1	1	yes	characteristic
233	#540	—	2	1	no	—
234	#540	—	2	1	no	—
235	#540	C₂×C₄	1	1	yes	characteristic
236	#540	C₂×C₄	1	1	yes	characteristic
237	#540	C₂×C₄	1	1	yes	characteristic
238	#540	C₂×C₄	1	1	yes	characteristic
239	#538	—	2	1	no	—
240	#538	—	2	1	no	—
241	#538	—	2	1	no	—
242	#538	—	2	1	no	—
243	#537	C₂×C₄	1	1	yes	characteristic
244	#537	C₂×C₄	1	1	yes	characteristic
245	#535	C₂×C₄	1	1	yes	characteristic
246	#535	C₂×C₄	1	1	yes	characteristic
247	#535	C₂×C₄	1	1	yes	characteristic
248	#535	C₂×C₄	1	1	yes	characteristic
249	#532	—	2	1	no	—
250	#532	—	2	1	no	—
251	#532	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	#529	C₂³	1	1	yes	characteristic
260	#529	C₂³	1	1	yes	characteristic
261	#525	—	2	1	no	—
262	#525	—	2	1	no	—
263	#525	—	2	1	no	—
264	#525	—	2	1	no	—
265	C₄×#41	C₂³	1	1	yes	characteristic
266	C₄×#41	C₂³	1	1	yes	characteristic
267	C₄×#41	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	#501	C₂×C₄	1	1	yes	characteristic
271	#501	C₂×C₄	1	1	yes	characteristic
272	#500	C₂×C₄	1	1	yes	characteristic
273	#499	C₂×C₄	1	1	yes	characteristic
274	#496	C₂×C₄	1	1	yes	characteristic
275	#496	C₂×C₄	1	1	yes	characteristic
276	#495	C₂×C₄	1	1	yes	characteristic
277	#493	C₂×C₄	1	1	yes	characteristic
278	#490	C₂×C₄	1	1	yes	characteristic
279	#490	C₂×C₄	1	1	yes	characteristic
280	#489	C₂×C₄	1	1	yes	characteristic
281	#489	C₂×C₄	1	1	yes	characteristic
282	#488	C₂×C₄	1	1	yes	characteristic
283	#488	C₂×C₄	1	1	yes	characteristic
284	#486	C₂×C₄	1	1	yes	characteristic
285	#486	C₂×C₄	1	1	yes	characteristic
286	#485	C₂×C₄	1	1	yes	characteristic
287	#485	C₂×C₄	1	1	yes	characteristic
288	#484	C₂×C₄	1	1	yes	characteristic
289	#484	C₂×C₄	1	1	yes	characteristic
290	#482	C₂×C₄	1	1	yes	characteristic
291	#482	C₂×C₄	1	1	yes	characteristic
292	#482	C₂×C₄	1	1	yes	characteristic
293	#482	C₂×C₄	1	1	yes	characteristic
294	#482	C₂×C₄	1	1	yes	characteristic
295	#482	C₂×C₄	1	1	yes	characteristic
296	#481	C₂×C₄	1	1	yes	characteristic
297	#481	C₂×C₄	1	1	yes	characteristic
298	#480	C₂×C₄	1	1	yes	characteristic
299	#480	C₂×C₄	1	1	yes	characteristic
300	#480	C₂×C₄	1	1	yes	characteristic
301	#480	C₂×C₄	1	1	yes	characteristic
302	#479	C₂×C₄	1	1	yes	characteristic
303	#479	C₂×C₄	1	1	yes	characteristic
304	#478	C₂×C₄	1	1	yes	characteristic
305	#478	C₂×C₄	1	1	yes	characteristic
306	#478	C₂×C₄	1	1	yes	characteristic
307	#478	C₂×C₄	1	1	yes	characteristic
308	#478	C₂×C₄	1	1	yes	characteristic
309	#478	C₂×C₄	1	1	yes	characteristic
310	#477	C₂×C₄	1	1	yes	characteristic
311	#477	C₂×C₄	1	1	yes	characteristic
312	#476	C₂×C₄	1	1	yes	characteristic
313	#476	C₂×C₄	1	1	yes	characteristic
314	#474	C₂×C₄	1	1	yes	characteristic
315	#474	C₂×C₄	1	1	yes	characteristic
316	#474	C₂×C₄	1	1	yes	characteristic
317	#474	C₂×C₄	1	1	yes	characteristic
318	#469	C₂×C₄	1	1	yes	characteristic
319	#469	C₂×C₄	1	1	yes	characteristic
320	#469	C₂×C₄	1	1	yes	characteristic
321	#469	C₂×C₄	1	1	yes	characteristic
322	#468	C₂×C₄	1	1	yes	characteristic
323	#468	C₂×C₄	1	1	yes	characteristic
324	#468	C₂×C₄	1	1	yes	characteristic
325	#468	C₂×C₄	1	1	yes	characteristic
326	#467	C₂×C₄	1	1	yes	characteristic
327	#466	C₂×C₄	1	1	yes	characteristic
328	#466	C₂×C₄	1	1	yes	characteristic
329	#466	C₂×C₄	1	1	yes	characteristic
330	#466	C₂×C₄	1	1	yes	characteristic
331	#466	C₂×C₄	1	1	yes	characteristic
332	#465	C₂×C₄	1	1	yes	characteristic
333	#465	C₂×C₄	1	1	yes	characteristic
334	#464	C₂×C₄	1	1	yes	characteristic
335	#464	C₂×C₄	1	1	yes	characteristic
336	#463	C₂×C₄	1	1	yes	characteristic
337	#463	C₂×C₄	1	1	yes	characteristic
338	#463	C₂×C₄	1	1	yes	characteristic
339	#463	C₂×C₄	1	1	yes	characteristic
340	#463	C₂×C₄	1	1	yes	characteristic
341	#463	C₂×C₄	1	1	yes	characteristic
342	#460	C₂×C₄	1	1	yes	characteristic
343	#460	C₂×C₄	1	1	yes	characteristic
344	#459	C₂×C₄	1	1	yes	characteristic
345	#459	C₂×C₄	1	1	yes	characteristic
346	#459	C₂×C₄	1	1	yes	characteristic
347	#459	C₂×C₄	1	1	yes	characteristic
348	#459	C₂×C₄	1	1	yes	characteristic
349	#459	C₂×C₄	1	1	yes	characteristic
350	#452	C₂×C₄	1	1	yes	characteristic
351	#452	C₂×C₄	1	1	yes	characteristic
352	#450	C₂×C₄	1	1	yes	characteristic
353	#450	C₂×C₄	1	1	yes	characteristic
354	#449	C₂×C₄	1	1	yes	characteristic
355	#449	C₂×C₄	1	1	yes	characteristic
356	#449	C₂×C₄	1	1	yes	characteristic
357	#449	C₂×C₄	1	1	yes	characteristic
358	#449	C₂×C₄	1	1	yes	characteristic
359	#449	C₂×C₄	1	1	yes	characteristic
360	#447	C₂×C₄	1	1	yes	characteristic
361	#447	C₂×C₄	1	1	yes	characteristic
362	#447	C₂×C₄	1	1	yes	characteristic
363	#447	C₂×C₄	1	1	yes	characteristic
364	#447	C₂×C₄	1	1	yes	characteristic
365	#447	C₂×C₄	1	1	yes	characteristic
366	#446	—	2	1	no	—
367	#446	—	2	1	no	—
368	#446	—	2	1	no	—
369	#446	C₂³	1	1	yes	characteristic
370	#446	C₂³	1	1	yes	characteristic
371	#446	C₂³	1	1	yes	characteristic
372	#446	C₂³	1	1	yes	characteristic
373	C₈×Q₈	D₄	1	1	yes	characteristic
374	C₈×Q₈	D₄	1	1	yes	characteristic
375	C₈×Q₈	C₂³	1	1	yes	characteristic
376	C₈×Q₈	C₂³	1	1	yes	characteristic
377	C₈×Q₈	C₂³	1	1	yes	characteristic
378	C₈×Q₈	C₂³	1	1	yes	characteristic
379	C₄×Q₁₆	C₂³	1	1	yes	characteristic
380	C₄×SD₁₆	C₂³	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×D₈	C₂³	1	1	yes	characteristic
387	C₄×D₈	C₂³	1	1	yes	characteristic
388	C₄×D₈	C₂³	1	1	yes	characteristic
389	C₄×D₈	C₂³	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	C₄×D₈	C₂³	1	1	yes	characteristic
395	#436	—	2	1	no	—
396	#436	—	2	1	no	—
397	#436	—	2	1	no	—
398	#436	—	2	1	no	—
399	#436	—	2	1	no	—
400	#436	—	2	1	no	—
401	#436	—	2	1	no	—
402	#436	—	2	1	no	—
403	#436	—	2	1	no	—
404	#436	—	2	1	no	—
405	#436	—	2	1	no	—
406	#436	—	2	1	no	—
407	#436	—	2	1	no	—
408	#436	—	2	1	no	—
409	#436	—	2	1	no	—
410	#436	C₂³	1	1	yes	characteristic
411	#436	C₂³	1	1	yes	characteristic
412	#436	C₂³	1	1	yes	characteristic
413	#436	C₂³	1	1	yes	characteristic
414	#436	C₂³	1	1	yes	characteristic
415	#436	C₂³	1	1	yes	characteristic
416	#436	C₂³	1	1	yes	characteristic
417	#436	C₂³	1	1	yes	characteristic
418	#436	C₂³	1	1	yes	characteristic
419	#436	C₂³	1	1	yes	characteristic
420	#436	C₂³	1	1	yes	characteristic
421	#436	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	#435	—	2	1	no	—
435	#435	—	2	1	no	—
436	#435	—	2	1	no	—
437	#435	—	2	1	no	—
438	#435	—	2	1	no	—
439	#435	—	2	1	no	—
440	#435	—	2	1	no	—
441	#435	—	2	1	no	—
442	#435	—	2	1	no	—
443	#435	—	2	1	no	—
444	#435	—	2	1	no	—
445	#435	—	2	1	no	—
446	#435	—	2	1	no	—
447	#435	—	2	1	no	—
448	C₈×D₄	—	2	1	no	—
449	C₈×D₄	—	2	1	no	—
450	C₈×D₄	—	2	1	no	—
451	C₈×D₄	—	2	1	no	—
452	C₈×D₄	—	2	1	no	—
453	C₈×D₄	—	2	1	no	—
454	C₈×D₄	—	2	1	no	—
455	C₈×D₄	—	2	1	no	—
456	C₈×D₄	—	2	1	no	—
457	C₈×D₄	—	2	1	no	—
458	C₈×D₄	—	2	1	no	—
459	C₈×D₄	—	2	1	no	—
460	C₈×D₄	—	2	1	no	—
461	C₈×D₄	—	2	1	no	—
462	C₈×D₄	—	2	1	no	—
463	C₈×D₄	—	2	1	no	—
464	C₈×D₄	D₄	1	1	yes	characteristic
465	C₈×D₄	D₄	1	1	yes	characteristic
466	C₈×D₄	D₄	1	1	yes	characteristic
467	C₈×D₄	D₄	1	1	yes	characteristic
468	C₈×D₄	D₄	1	1	yes	characteristic
469	C₈×D₄	D₄	1	1	yes	characteristic
470	C₈×D₄	C₂³	1	1	yes	characteristic
471	C₈×D₄	C₂³	1	1	yes	characteristic
472	C₈×D₄	C₂³	1	1	yes	characteristic
473	C₈×D₄	C₂³	1	1	yes	characteristic
474	C₈×D₄	C₂³	1	1	yes	characteristic
475	C₈×D₄	C₂³	1	1	yes	characteristic
476	C₈×D₄	C₂³	1	1	yes	characteristic
477	C₈×D₄	C₂³	1	1	yes	characteristic
478	C₈×D₄	C₂³	1	1	yes	characteristic
479	C₈×D₄	C₂³	1	1	yes	characteristic
480	C₈×D₄	C₂³	1	1	yes	characteristic
481	C₈×D₄	C₂³	1	1	yes	characteristic
482	#433	—	2	1	no	—
483	#433	—	2	1	no	—
484	#433	—	2	1	no	—
485	#433	—	2	1	no	—
486	#433	—	2	1	no	—
487	#433	—	2	1	no	—
488	#433	—	2	1	no	—
489	#433	—	2	1	no	—
490	#433	C₂×C₄	1	1	yes	characteristic
491	#433	C₂×C₄	1	1	yes	characteristic
492	#433	C₂×C₄	1	1	yes	characteristic
493	#433	C₂×C₄	1	1	yes	characteristic
494	#432	—	2	1	no	—
495	#432	C₂³	1	1	yes	characteristic
496	#432	C₂³	1	1	yes	characteristic
497	#432	C₂³	1	1	yes	characteristic
498	#432	C₂³	1	1	yes	characteristic
499	#431	—	2	1	no	—
500	#431	—	2	1	no	—
501	#431	—	2	1	no	—
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	#431	C₂³	1	1	yes	characteristic
510	#431	C₂³	1	1	yes	characteristic
511	#431	C₂³	1	1	yes	characteristic
512	#431	C₂³	1	1	yes	characteristic
513	#431	C₂³	1	1	yes	characteristic
514	#424	—	2	1	no	—
515	#424	—	2	1	no	—
516	#424	—	2	1	no	—
517	#424	—	2	1	no	—
518	#424	C₂×C₄	1	1	yes	characteristic
519	#424	C₂×C₄	1	1	yes	characteristic
520	#423	—	2	1	no	—
521	#423	C₂³	1	1	yes	characteristic
522	#423	C₂³	1	1	yes	characteristic
523	#423	C₂³	1	1	yes	characteristic
524	#423	C₂³	1	1	yes	characteristic
525	C₂×C₄⋊C₈	—	2	1	no	—
526	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
527	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
528	#408	—	2	1	no	—
529	#408	—	2	1	no	—
530	#408	—	2	1	no	—
531	#408	—	2	1	no	—
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	—	2	1	no	—
539	#408	—	2	1	no	—
540	#408	C₂×C₄	1	1	yes	characteristic
541	#408	C₂×C₄	1	1	yes	characteristic
542	#407	—	2	1	no	—
543	#407	—	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	—	2	1	no	—
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	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	#335	C₂³	1	1	yes	characteristic
571	#335	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	C₂²×C₄	1	1	yes	characteristic
631	C₂×#41	C₂²×C₄	1	1	yes	characteristic
632	C₂×#41	C₂²×C₄	1	1	yes	characteristic
633	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
634	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
635	C₂³×C₄	—	2	1	no	—
636	C₂³×C₄	—	2	1	no	—
637	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
638	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
639	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
640	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
641	C₂×SD₁₆	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×D₈	C₂²×C₄	1	1	yes	characteristic
645	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
646	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
647	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
648	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
649	C₂×D₈	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	#131	—	8	2	no	—
654	#131	—	8	2	no	—
655	#131	—	8	2	no	—
656	#131	—	8	2	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	—	2	1	no	—
663	C₂×M₁₆	—	2	1	no	—
664	C₂×M₁₆	—	2	1	no	—
665	C₂×M₁₆	—	2	1	no	—
666	C₂×M₁₆	—	2	1	no	—
667	C₂×M₁₆	—	2	1	no	—
668	C₂×M₁₆	—	2	1	no	—
669	C₂×M₁₆	—	2	1	no	—
670	C₂×M₁₆	—	2	1	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	—	8	2	no	—
676	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
677	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
684	C₂²×C₈	—	2	1	no	—
685	C₂²×C₈	—	2	1	no	—
686	C₂²×C₈	—	2	1	no	—
687	C₂²×C₈	—	2	1	no	—
688	C₂²×C₈	—	2	1	no	—
689	C₂²×C₈	—	2	1	no	—
690	C₂²×C₈	—	2	1	no	—
691	C₂²×C₈	—	2	1	no	—
692	C₂²×C₈	—	2	1	no	—
693	C₂²×C₈	—	8	2	no	—
694	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
695	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
696	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
697	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
698	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
699	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
700	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
701	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
705	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
706	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
707	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
708	#127	—	2	1	no	—
709	#127	—	2	1	no	—
710	#127	C₂²×C₄	1	1	yes	characteristic
711	#127	C₂²×C₄	1	1	yes	characteristic
712	#127	C₂²×C₄	1	1	yes	characteristic
713	#127	C₂²×C₄	1	1	yes	characteristic
714	#126	—	2	1	no	—
715	#126	—	2	1	no	—
716	#126	—	2	1	no	—
717	#126	—	2	1	no	—
718	#126	—	2	1	no	—
719	#126	—	2	1	no	—
720	#126	—	2	1	no	—
721	#126	—	2	1	no	—
722	#125	—	2	1	no	—
723	#125	—	2	1	no	—
724	#125	C₂²×C₄	1	1	yes	characteristic
725	#125	C₂²×C₄	1	1	yes	characteristic
726	#125	C₂²×C₄	1	1	yes	characteristic
727	#125	C₂²×C₄	1	1	yes	characteristic
728	#124	—	2	1	no	—
729	#124	—	2	1	no	—
730	#124	—	2	1	no	—
731	#124	—	2	1	no	—
732	#124	—	2	1	no	—
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	#124	C₂²×C₄	1	1	yes	characteristic
741	#124	C₂²×C₄	1	1	yes	characteristic
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	#123	—	2	1	no	—
755	#123	—	2	1	no	—
756	#123	—	2	1	no	—
757	#123	—	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	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
769	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
770	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
771	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	1	no	—
791	#121	—	2	1	no	—
792	#121	—	2	1	no	—
793	#121	—	2	1	no	—
794	#121	C₂²×C₄	1	1	yes	characteristic
795	#121	C₂²×C₄	1	1	yes	characteristic
796	#121	C₂²×C₄	1	1	yes	characteristic
797	#121	C₂²×C₄	1	1	yes	characteristic
798	#121	C₂²×C₄	1	1	yes	characteristic
799	#121	C₂²×C₄	1	1	yes	characteristic
800	#121	C₂²×C₄	1	1	yes	characteristic
801	#121	C₂²×C₄	1	1	yes	characteristic
802	#121	C₂²×C₄	1	1	yes	characteristic
803	#121	C₂²×C₄	1	1	yes	characteristic
804	#121	C₂²×C₄	1	1	yes	characteristic
805	#121	C₂²×C₄	1	1	yes	characteristic
806	#120	—	2	1	no	—
807	#120	—	2	1	no	—
808	#120	—	2	1	no	—
809	#120	—	2	1	no	—
810	#120	—	2	1	no	—
811	#120	—	2	1	no	—
812	#120	—	2	1	no	—
813	#120	—	2	1	no	—
814	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
815	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
816	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
817	C₄×Q₈	#41	1	1	yes	characteristic
818	C₄×Q₈	C₂⁴	1	1	yes	characteristic
819	C₄×Q₈	C₂⁴	1	1	yes	characteristic
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
837	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
838	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
839	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
840	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
841	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
842	C₄×D₄	C₂×D₄	1	1	yes	characteristic
843	C₄×D₄	C₂×D₄	1	1	yes	characteristic
844	C₄×D₄	C₂×D₄	1	1	yes	characteristic
845	C₄×D₄	#41	1	1	yes	characteristic
846	C₄×D₄	#41	1	1	yes	characteristic
847	C₄×D₄	#41	1	1	yes	characteristic
848	C₄×D₄	C₂⁴	1	1	yes	characteristic
849	C₄×D₄	C₂⁴	1	1	yes	characteristic
850	C₄×D₄	C₂⁴	1	1	yes	characteristic
851	C₄×D₄	C₂⁴	1	1	yes	characteristic
852	C₄×D₄	C₂⁴	1	1	yes	characteristic
853	C₄×D₄	C₂⁴	1	1	yes	characteristic
854	#117	—	2	1	no	—
855	#117	—	2	1	no	—
856	#117	—	2	1	no	—
857	#117	—	2	1	no	—
858	#117	—	2	1	no	—
859	#117	—	2	1	no	—
860	#117	C₂²×C₄	1	1	yes	characteristic
861	#117	C₂²×C₄	1	1	yes	characteristic
862	#117	C₂²×C₄	1	1	yes	characteristic
863	#117	C₂²×C₄	1	1	yes	characteristic
864	#117	C₂²×C₄	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	—	2	1	no	—
868	C₂×C₂²⋊C₄	—	2	1	no	—
869	C₂×C₄²	—	2	1	no	—
870	C₂×C₄²	—	2	1	no	—
871	C₂×C₄²	C₂⁴	1	1	yes	characteristic
872	C₂×C₄²	C₂⁴	1	1	yes	characteristic
873	C₂×C₄²	C₂⁴	1	1	yes	characteristic
874	#107	C₂²×C₄	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	#107	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	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	—	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	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
913	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
914	C₄⋊C₈	C₂²×C₄	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	C₂×D₄	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	C₄⋊C₈	C₂⁴	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	#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	#102	C₂²×C₄	1	1	yes	characteristic
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	C₂²×C₄	1	1	yes	characteristic
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	C₂²×C₄	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	#97	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
1019	#97	C₂²×C₄	1	1	yes	characteristic
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	C₂²×C₄	1	1	yes	characteristic
1028	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1029	C₄×C₈	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
1033	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1034	C₄×C₈	C₂×D₄	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	C₄×C₈	C₂⁴	1	1	yes	characteristic
1045	C₄×C₈	C₂⁴	1	1	yes	characteristic
1046	C₄×C₈	C₂⁴	1	1	yes	characteristic
1047	C₂⁴	—	2	1	no	—
1048	C₂⁴	—	2	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	#41	—	8	1	no	—
1058	#41	—	8	1	no	—
1059	#41	—	8	1	no	—
1060	#41	—	8	1	no	—
1061	#41	—	8	1	no	—
1062	#41	—	8	1	no	—
1063	C₂×Q₈	—	2	1	no	—
1064	C₂×Q₈	—	2	1	no	—
1065	C₂×Q₈	—	2	1	no	—
1066	C₂×Q₈	—	2	1	no	—
1067	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1068	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1069	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	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	—	4	1	no	—
1095	C₂×D₄	—	4	1	no	—
1096	C₂×D₄	—	4	1	no	—
1097	C₂×D₄	—	4	1	no	—
1098	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1099	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1100	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1101	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1102	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1103	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1104	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1105	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1106	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	1	no	—
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	2	1	no	—
1113	C₂²×C₄	—	2	1	no	—
1114	C₂²×C₄	—	2	1	no	—
1115	C₂²×C₄	—	2	1	no	—
1116	C₂²×C₄	—	2	1	no	—
1117	C₂²×C₄	—	2	1	no	—
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	—	8	1	no	—
1124	C₂²×C₄	—	8	1	no	—
1125	C₂²×C₄	—	8	1	no	—
1126	C₂²×C₄	—	8	1	no	—
1127	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1130	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1131	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1132	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1133	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1134	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1135	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1136	Q₁₆	—	4	1	no	—
1137	SD₁₆	—	4	1	no	—
1138	SD₁₆	—	4	1	no	—
1139	SD₁₆	—	4	1	no	—
1140	SD₁₆	—	4	1	no	—
1141	SD₁₆	—	4	1	no	—
1142	SD₁₆	—	4	1	no	—
1143	D₈	—	4	1	no	—
1144	D₈	—	4	1	no	—
1145	D₈	—	4	1	no	—
1146	D₈	—	4	1	no	—
1147	D₈	—	4	1	no	—
1148	D₈	—	4	1	no	—
1149	D₈	—	4	1	no	—
1150	D₈	—	4	1	no	—
1151	D₈	—	4	1	no	—
1152	M₁₆	—	4	1	no	—
1153	M₁₆	—	4	1	no	—
1154	M₁₆	—	4	2	no	—
1155	M₁₆	—	4	2	no	—
1156	M₁₆	—	4	2	no	—
1157	M₁₆	—	8	1	no	—
1158	M₁₆	—	8	1	no	—
1159	M₁₆	—	8	1	no	—
1160	M₁₆	—	8	1	no	—
1161	M₁₆	—	8	1	no	—
1162	M₁₆	—	8	1	no	—
1163	M₁₆	—	8	1	no	—
1164	M₁₆	—	8	1	no	—
1165	M₁₆	—	8	1	no	—
1166	M₁₆	—	8	1	no	—
1167	M₁₆	—	8	1	no	—
1168	M₁₆	—	8	1	no	—
1169	M₁₆	—	8	1	no	—
1170	M₁₆	—	8	1	no	—
1171	M₁₆	—	8	1	no	—
1172	C₂×C₈	—	2	2	no	—
1173	C₂×C₈	—	2	2	no	—
1174	C₂×C₈	—	2	2	no	—
1175	C₂×C₈	—	2	1	no	—
1176	C₂×C₈	—	2	1	no	—
1177	C₂×C₈	—	2	1	no	—
1178	C₂×C₈	—	2	1	no	—
1179	C₂×C₈	—	2	1	no	—
1180	C₂×C₈	—	2	1	no	—
1181	C₂×C₈	—	2	1	no	—
1182	C₂×C₈	—	2	1	no	—
1183	C₂×C₈	—	2	1	no	—
1184	C₂×C₈	—	2	1	no	—
1185	C₂×C₈	—	2	1	no	—
1186	C₂×C₈	—	2	1	no	—
1187	C₂×C₈	—	4	1	no	—
1188	C₂×C₈	—	4	1	no	—
1189	C₂×C₈	—	4	1	no	—
1190	C₂×C₈	—	4	1	no	—
1191	C₂×C₈	—	4	1	no	—
1192	C₂×C₈	—	4	2	no	—
1193	C₂×C₈	—	4	2	no	—
1194	C₂×C₈	—	4	2	no	—
1195	C₂×C₈	—	8	1	no	—
1196	C₂×C₈	—	8	1	no	—
1197	C₂×C₈	—	8	1	no	—
1198	C₂×C₈	—	8	1	no	—
1199	C₂×C₈	—	8	1	no	—
1200	C₂×C₈	—	8	1	no	—
1201	C₂×C₈	—	8	1	no	—
1202	C₂×C₈	—	8	1	no	—
1203	C₂×C₈	—	8	1	no	—
1204	C₂×C₈	—	8	1	no	—
1205	C₂×C₈	—	8	1	no	—
1206	C₂×C₈	—	8	1	no	—
1207	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1208	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1209	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1210	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1211	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1212	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1213	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1214	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1215	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1216	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1217	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1218	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1219	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1220	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1221	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1222	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1223	C₄⋊C₄	—	2	1	no	—
1224	C₄⋊C₄	—	2	1	no	—
1225	C₄⋊C₄	—	2	1	no	—
1226	C₄⋊C₄	—	2	1	no	—
1227	C₄⋊C₄	—	2	1	no	—
1228	C₄⋊C₄	—	2	1	no	—
1229	C₄⋊C₄	—	2	1	no	—
1230	C₄⋊C₄	—	2	1	no	—
1231	C₄⋊C₄	—	2	1	no	—
1232	C₄⋊C₄	—	2	1	no	—
1233	C₄⋊C₄	—	2	1	no	—
1234	C₄⋊C₄	—	2	1	no	—
1235	C₄⋊C₄	—	2	1	no	—
1236	C₄⋊C₄	—	2	1	no	—
1237	C₄⋊C₄	—	2	1	no	—
1238	C₄⋊C₄	—	2	1	no	—
1239	C₄⋊C₄	—	2	1	no	—
1240	C₄⋊C₄	—	2	1	no	—
1241	C₄⋊C₄	—	2	1	no	—
1242	C₄⋊C₄	—	2	1	no	—
1243	C₄⋊C₄	—	2	1	no	—
1244	C₄⋊C₄	—	2	1	no	—
1245	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1246	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1247	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1248	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1249	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1250	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1251	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1252	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1253	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1254	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1255	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1256	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1257	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1258	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1273	C₂²⋊C₄	—	2	1	no	—
1274	C₂²⋊C₄	—	2	1	no	—
1275	C₂²⋊C₄	—	2	1	no	—
1276	C₂²⋊C₄	—	2	1	no	—
1277	C₂²⋊C₄	—	2	1	no	—
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	C₄×D₄	1	1	yes	characteristic
1298	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1299	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1300	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1301	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1302	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1303	C₄²	—	2	1	no	—
1304	C₄²	—	2	1	no	—
1305	C₄²	—	2	1	no	—
1306	C₄²	—	2	1	no	—
1307	C₄²	—	2	1	no	—
1308	C₄²	—	2	1	no	—
1309	C₄²	C₂³×C₄	1	1	yes	characteristic
1310	C₄²	C₂³×C₄	1	1	yes	characteristic
1311	C₄²	C₂³×C₄	1	1	yes	characteristic
1312	C₄²	C₂²×D₄	1	1	yes	characteristic
1313	C₄²	C₂²×D₄	1	1	yes	characteristic
1314	C₄²	C₂²×D₄	1	1	yes	characteristic
1315	C₄²	C₂×#41	1	1	yes	characteristic
1316	C₄²	C₂×#41	1	1	yes	characteristic
1317	C₄²	C₂×#41	1	1	yes	characteristic
1318	C₄²	C₂⁵	1	1	yes	characteristic
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	4	2	no	—
1326	C₂³	—	4	2	no	—
1327	C₂³	—	8	1	no	—
1328	C₂³	—	8	1	no	—
1329	C₂³	—	8	1	no	—
1330	C₂³	—	8	1	no	—
1331	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1332	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1333	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1334	Q₈	—	2	1	no	—
1335	Q₈	—	2	1	no	—
1336	Q₈	—	2	1	no	—
1337	Q₈	—	2	1	no	—
1338	Q₈	—	4	1	no	—
1339	Q₈	—	8	1	no	—
1340	Q₈	—	8	1	no	—
1341	Q₈	—	8	1	no	—
1342	Q₈	—	8	1	no	—
1343	D₄	—	2	1	no	—
1344	D₄	—	2	1	no	—
1345	D₄	—	2	1	no	—
1346	D₄	—	2	1	no	—
1347	D₄	—	2	1	no	—
1348	D₄	—	2	1	no	—
1349	D₄	—	2	1	no	—
1350	D₄	—	2	1	no	—
1351	D₄	—	2	1	no	—
1352	D₄	—	2	1	no	—
1353	D₄	—	2	1	no	—
1354	D₄	—	2	1	no	—
1355	D₄	—	4	1	no	—
1356	D₄	—	4	1	no	—
1357	D₄	—	4	1	no	—
1358	D₄	—	4	2	no	—
1359	D₄	—	4	2	no	—
1360	D₄	—	4	2	no	—
1361	D₄	—	4	2	no	—
1362	D₄	—	8	1	no	—
1363	D₄	—	8	1	no	—
1364	D₄	—	8	1	no	—
1365	D₄	—	8	1	no	—
1366	D₄	—	8	1	no	—
1367	D₄	—	8	1	no	—
1368	D₄	—	8	1	no	—
1369	D₄	—	8	1	no	—
1370	D₄	—	8	1	no	—
1371	D₄	—	8	1	no	—
1372	D₄	—	8	1	no	—
1373	D₄	—	8	1	no	—
1374	D₄	—	8	1	no	—
1375	D₄	—	8	1	no	—
1376	D₄	—	8	1	no	—
1377	D₄	—	8	1	no	—
1378	D₄	—	8	1	no	—
1379	D₄	—	8	1	no	—
1380	D₄	—	8	1	no	—
1381	D₄	—	8	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
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	—	4	1	no	—
1405	C₂×C₄	—	4	1	no	—
1406	C₂×C₄	—	4	1	no	—
1407	C₂×C₄	—	4	2	no	—
1408	C₂×C₄	—	4	2	no	—
1409	C₂×C₄	—	4	1	no	—
1410	C₂×C₄	—	4	1	no	—
1411	C₂×C₄	—	4	1	no	—
1412	C₂×C₄	—	4	1	no	—
1413	C₂×C₄	—	4	1	no	—
1414	C₂×C₄	—	4	1	no	—
1415	C₂×C₄	—	4	1	no	—
1416	C₂×C₄	—	4	1	no	—
1417	C₂×C₄	—	4	1	no	—
1418	C₂×C₄	—	4	1	no	—
1419	C₂×C₄	—	4	1	no	—
1420	C₂×C₄	—	4	1	no	—
1421	C₂×C₄	—	8	1	no	—
1422	C₂×C₄	—	8	1	no	—
1423	C₂×C₄	—	8	1	no	—
1424	C₂×C₄	—	8	1	no	—
1425	C₂×C₄	—	8	1	no	—
1426	C₂×C₄	—	8	1	no	—
1427	C₂×C₄	—	8	1	no	—
1428	C₂×C₄	—	8	1	no	—
1429	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1430	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1431	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1432	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1433	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1434	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1435	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1436	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1437	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1438	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1439	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1440	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1441	C₈	—	2	1	no	—
1442	C₈	—	2	1	no	—
1443	C₈	—	2	1	no	—
1444	C₈	—	2	1	no	—
1445	C₈	—	2	1	no	—
1446	C₈	—	2	1	no	—
1447	C₈	—	2	1	no	—
1448	C₈	—	2	1	no	—
1449	C₈	—	2	1	no	—
1450	C₈	—	2	1	no	—
1451	C₈	—	2	1	no	—
1452	C₈	—	2	1	no	—
1453	C₈	—	2	1	no	—
1454	C₈	—	2	1	no	—
1455	C₈	—	2	1	no	—
1456	C₈	—	4	1	no	—
1457	C₈	—	4	1	no	—
1458	C₈	—	4	1	no	—
1459	C₈	—	4	1	no	—
1460	C₈	—	4	1	no	—
1461	C₈	—	4	1	no	—
1462	C₈	—	4	1	no	—
1463	C₈	—	4	1	no	—
1464	C₈	—	4	1	no	—
1465	C₈	—	4	1	no	—
1466	C₈	—	4	1	no	—
1467	C₈	—	4	1	no	—
1468	C₈	#576	1	2	yes	—
1469	C₂²	—	2	1	no	—
1470	C₂²	—	2	1	no	—
1471	C₂²	—	2	1	no	—
1472	C₂²	—	2	1	no	—
1473	C₂²	—	2	1	no	—
1474	C₂²	—	2	1	no	—
1475	C₂²	—	2	1	no	—
1476	C₂²	—	2	1	no	—
1477	C₂²	—	2	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	8	4	no	—
1497	C₂²	—	16	2	no	—
1498	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1499	C₄	—	2	1	no	—
1500	C₄	—	2	1	no	—
1501	C₄	—	2	1	no	—
1502	C₄	—	2	1	no	—
1503	C₄	—	2	1	no	—
1504	C₄	—	2	1	no	—
1505	C₄	—	2	1	no	—
1506	C₄	—	2	1	no	—
1507	C₄	—	2	1	no	—
1508	C₄	—	2	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	#3573	1	1	yes	characteristic
1520	C₄	#3573	1	1	yes	characteristic
1521	C₄	C₂×#576	1	1	yes	characteristic
1522	C₄	#3584	1	1	yes	characteristic
1523	C₂	—	4	1	no	—
1524	C₂	—	4	1	no	—
1525	C₂	—	4	1	no	—
1526	C₂	—	8	1	no	—
1527	C₂	—	8	1	no	—
1528	C₂	—	8	1	no	—
1529	C₂	—	8	1	no	—
1530	C₂	—	8	1	no	—
1531	C₂	—	8	1	no	—
1532	C₂	#60140	1	1	yes	characteristic
1533	C₂	C₄×#576	1	1	yes	characteristic
1534	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	#60955	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₈×#41 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60321	C₂	semidirect
3. #60306	C₂	semidirect
4. #17985	C₂	semidirect
5. #17983	C₂	semidirect
6. #17978	C₂	semidirect
7. #17975	C₂	semidirect
8. #17973	C₂	semidirect
9. #17970	C₂	semidirect
10. #17968	C₂	semidirect
11. #17968	C₂	semidirect
12. #17954	C₂	semidirect
13. #17950	C₂	semidirect
14. #17948	C₂	semidirect
15. #17946	C₂	semidirect
16. #17940	C₂	semidirect
17. #17938	C₂	semidirect
18. #17932	C₂	semidirect
19. #17928	C₂	semidirect
20. #17926	C₂	semidirect
21. #17922	C₂	semidirect
22. #17920	C₂	semidirect
23. #17918	C₂	semidirect
24. #17917	C₂	semidirect
25. #17914	C₂	semidirect
26. #17904	C₂	semidirect
27. #17900	C₂	semidirect
28. #17825	C₂	semidirect
29. #17505	C₂	semidirect
30. #17505	C₂	semidirect
31. #17330	C₂	semidirect
66. #2993	C₂²	semidirect
67. #2993	C₂²	semidirect
70. #2989	C₂²	semidirect
71. #2988	C₂²	semidirect
75. #2981	C₂²	semidirect
76. #2981	C₂²	semidirect
82. #2975	C₂²	semidirect
83. #2972	C₂²	semidirect
88. #2966	C₂²	semidirect
89. #2966	C₂²	semidirect
91. #2965	C₂²	semidirect
93. C₈×#41	C₂²	semidirect
100. #2931	C₂²	semidirect
101. #2931	C₂²	semidirect
104. C₂×#436	C₂²	semidirect
105. C₂×C₈×D₄	C₂²	semidirect
109. #1594	C₂²	semidirect
110. #1594	C₂²	semidirect
111. #1592	C₂²	semidirect
112. #1592	C₂²	semidirect
113. #1592	C₂²	semidirect
114. #1592	C₂²	semidirect
115. #1591	C₂²	semidirect
116. #1590	C₂²	semidirect
117. #1590	C₂²	semidirect
120. #1589	C₂²	semidirect
121. #1589	C₂²	semidirect
122. #1589	C₂²	semidirect
123. #1588	C₂²	semidirect
124. #1588	C₂²	semidirect
127. #1586	C₂²	semidirect
128. #1586	C₂²	semidirect
129. #1585	C₂²	semidirect
130. #1585	C₂²	semidirect
131. #1584	C₂²	semidirect
132. #1584	C₂²	semidirect
133. #1583	C₂²	semidirect
134. #1583	C₂²	semidirect
135. #1583	C₂²	semidirect
136. #1583	C₂²	semidirect
137. #1582	C₂²	semidirect
138. #1582	C₂²	semidirect
139. #1582	C₂²	semidirect
140. #1582	C₂²	semidirect
147. #1581	C₂²	semidirect
148. #1581	C₂²	semidirect
149. #1581	C₂²	semidirect
150. #1581	C₂²	semidirect
151. #1581	C₂²	semidirect
152. #1581	C₂²	semidirect
153. #1581	C₂²	semidirect
154. #1581	C₂²	semidirect
157. #1580	C₂²	semidirect
158. #1580	C₂²	semidirect
159. SD₁₆⋊C₈	C₂²	semidirect
160. SD₁₆⋊C₈	C₂²	semidirect
161. SD₁₆⋊C₈	C₂²	semidirect
162. SD₁₆⋊C₈	C₂²	semidirect
163. C₈×Q₁₆	C₂²	semidirect
164. C₈×SD₁₆	C₂²	semidirect
165. C₈×SD₁₆	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. #1571	C₂²	semidirect
178. #1571	C₂²	semidirect
179. #1569	C₂²	semidirect
180. #1569	C₂²	semidirect
181. #1568	C₂²	semidirect
182. #1567	C₂²	semidirect
183. #1496	C₂²	semidirect
184. #1496	C₂²	semidirect
185. #1495	C₂²	semidirect
186. #1495	C₂²	semidirect
187. #1494	C₂²	semidirect
188. #1494	C₂²	semidirect
189. #1492	C₂²	semidirect
190. #1492	C₂²	semidirect
191. #1490	C₂²	semidirect
192. #1490	C₂²	semidirect
193. #1489	C₂²	semidirect
194. #1489	C₂²	semidirect
195. #1488	C₂²	semidirect
196. #1488	C₂²	semidirect
197. #1486	C₂²	semidirect
198. #1486	C₂²	semidirect
207. #1454	C₂²	semidirect
208. #1454	C₂²	semidirect
209. #1453	C₂²	semidirect
210. #1453	C₂²	semidirect
211. #1451	C₂²	semidirect
212. #1451	C₂²	semidirect
213. #1451	C₂²	semidirect
214. #1450	C₂²	semidirect
215. #1450	C₂²	semidirect
216. #1450	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
#60955	2
#60321	2
#60306	2
#17985	2
#17983	2
#17978	2
#17975	2
#17973	2
#17970	2
#17968	2
#17954	2
#17950	2
#17948	2
#17946	2
#17940	2
#17938	2
#17932	2
#17928	2
#17926	2
#17922	2
#17920	2
#17918	2
#17917	2
#17914	2
#17904	2
#17900	2
#17825	2
#17505	2
#17330	2