Subgroups — #6345785

Order 512.

1586 conjugacy classes of subgroups.

The subgroup lattice has 954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60695	C₂	1	1	yes	maximal, characteristic
2	#60319	C₂	1	2	yes	maximal, complemented
3	#18093	C₂	1	1	yes	maximal, characteristic, complemented
4	#18091	C₂	1	1	yes	maximal, characteristic, complemented
5	#18080	C₂	1	2	yes	maximal, complemented
6	#18078	C₂	1	2	yes	maximal, complemented
7	#18075	C₂	1	1	yes	maximal, characteristic, complemented
8	#18073	C₂	1	1	yes	maximal, characteristic, complemented
9	#18064	C₂	1	1	yes	maximal, characteristic, complemented
10	#18063	C₂	1	1	yes	maximal, characteristic, complemented
11	#18052	C₂	1	2	yes	maximal, complemented
12	#18046	C₂	1	2	yes	maximal, complemented
13	#18045	C₂	1	1	yes	maximal, characteristic, complemented
14	#18044	C₂	1	1	yes	maximal, characteristic, complemented
15	#17987	C₂	1	2	yes	maximal, complemented
16	#17985	C₂	1	2	yes	maximal, complemented
17	#17974	C₂	1	1	yes	maximal, characteristic, complemented
18	#17970	C₂	1	1	yes	maximal, characteristic, complemented
19	#17963	C₂	1	1	yes	maximal, characteristic, complemented
20	#17962	C₂	1	1	yes	maximal, characteristic, complemented
21	#17798	C₂	1	1	yes	maximal, characteristic, complemented
22	#17505	C₂	1	2	yes	maximal, complemented
23	#17336	C₂	1	1	yes	maximal, characteristic, complemented
24	#3460	C₂²	1	2	yes	—
25	#3179	C₄	1	2	yes	—
26	#3179	C₄	1	2	yes	—
27	#3176	C₄	1	1	yes	characteristic
28	#3176	C₄	1	1	yes	characteristic
29	#3175	C₄	1	1	yes	characteristic
30	#3175	C₄	1	1	yes	characteristic
31	#3171	C₂²	1	2	yes	—
32	#3171	C₂²	1	2	yes	—
33	#3169	C₂²	1	1	yes	characteristic
34	#3169	C₂²	1	1	yes	characteristic
35	#3168	C₂²	1	1	yes	characteristic
36	#3168	C₂²	1	1	yes	characteristic
37	#3164	C₄	1	1	yes	characteristic
38	#3155	C₄	1	1	yes	characteristic
39	#3136	C₄	1	2	yes	—
40	#3062	C₄	1	2	yes	—
41	#3061	C₄	1	1	yes	characteristic
42	#3058	C₄	1	1	yes	characteristic
43	#2995	—	2	2	no	—
44	#2994	C₂²	1	2	yes	complemented
45	#2993	C₂²	1	2	yes	complemented
46	#2991	C₂²	1	2	yes	—
47	#2989	C₂²	1	2	yes	—
48	#2981	—	2	2	no	—
49	#2981	C₂²	1	2	yes	complemented
50	#2979	C₂²	1	2	yes	complemented
51	#2978	—	2	2	no	—
52	#2976	—	2	2	no	—
53	#2974	C₂²	1	2	yes	—
54	#2970	C₂²	1	2	yes	—
55	#2969	C₂²	1	2	yes	complemented
56	#2968	—	2	2	no	—
57	#2966	C₂²	1	2	yes	complemented
58	#2965	C₂²	1	1	yes	characteristic
59	#2965	C₂²	1	1	yes	characteristic
60	C₄×AGL(1,ℤ/8)	C₂²	1	2	yes	—
61	C₄×#135	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
63	#2935	C₂²	1	2	yes	complemented
64	D₄×M₁₆	C₂²	1	2	yes	—
65	#2933	—	2	2	no	—
66	#2932	—	2	2	no	—
67	#2931	C₂²	1	2	yes	complemented
68	#2930	—	2	2	no	—
69	C₄×#131	C₂²	1	1	yes	characteristic
70	#1594	C₂²	1	1	yes	characteristic
71	#1594	C₂²	1	1	yes	characteristic
72	#1594	C₂²	1	1	yes	characteristic
73	#1594	C₂²	1	1	yes	characteristic
74	#1594	C₂²	1	2	yes	complemented
75	#1594	C₂²	1	1	yes	characteristic, complemented
76	#1594	C₂²	1	1	yes	characteristic, complemented
77	#1593	C₂²	1	1	yes	characteristic, complemented
78	#1593	C₂²	1	1	yes	characteristic, complemented
79	#1592	C₂²	1	2	yes	complemented
80	#1590	C₂²	1	2	yes	complemented
81	#1589	C₂²	1	2	yes	complemented
82	#1588	C₂²	1	2	yes	complemented
83	#1586	C₂²	1	2	yes	—
84	#1586	C₂²	1	2	yes	—
85	#1586	C₂²	1	2	yes	complemented
86	#1586	C₂²	1	2	yes	complemented
87	#1585	C₂²	1	2	yes	complemented
88	#1585	C₂²	1	2	yes	complemented
89	#1585	C₂²	1	2	yes	complemented
90	#1583	C₂²	1	2	yes	complemented
91	#1583	C₂²	1	2	yes	complemented
92	#1583	C₂²	1	2	yes	complemented
93	#1582	C₂²	1	2	yes	complemented
94	#1581	C₂²	1	2	yes	—
95	#1581	C₂²	1	2	yes	—
96	#1581	C₂²	1	2	yes	complemented
97	#1581	C₂²	1	2	yes	complemented
98	#1580	C₂²	1	1	yes	characteristic
99	#1580	C₂²	1	1	yes	characteristic
100	#1580	C₂²	1	1	yes	characteristic
101	#1580	C₂²	1	1	yes	characteristic
102	#1580	C₂²	1	1	yes	characteristic, complemented
103	#1580	C₂²	1	2	yes	complemented
104	#1580	C₂²	1	1	yes	characteristic, complemented
105	#1579	C₂²	1	1	yes	characteristic, complemented
106	#1579	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆⋊C₈	C₂²	1	2	yes	complemented
108	C₈×SD₁₆	C₂²	1	2	yes	complemented
109	C₈×D₈	C₂²	1	2	yes	complemented
110	#1569	C₂²	1	2	yes	—
111	#1569	C₂²	1	2	yes	complemented
112	#1568	C₂²	1	1	yes	characteristic
113	#1568	C₂²	1	1	yes	characteristic, complemented
114	#1566	C₂²	1	1	yes	characteristic
115	#1566	C₂²	1	1	yes	characteristic, complemented
116	#1565	C₂²	1	2	yes	complemented
117	#1564	C₂²	1	1	yes	characteristic, complemented
118	C₂×#334	C₂²	1	1	yes	characteristic, complemented
119	#1496	C₂²	1	2	yes	complemented
120	#1495	C₂²	1	2	yes	complemented
121	#1494	C₂²	1	2	yes	complemented
122	#1492	C₂²	1	2	yes	complemented
123	#1490	C₂²	1	2	yes	—
124	#1489	C₂²	1	2	yes	—
125	#1488	C₂²	1	2	yes	—
126	#1486	C₂²	1	2	yes	—
127	#1484	C₂²	1	2	yes	complemented
128	#1483	C₂²	1	2	yes	complemented
129	#1482	C₂²	1	2	yes	complemented
130	#1480	C₂²	1	2	yes	complemented
131	#1455	C₂²	1	1	yes	characteristic
132	#1455	C₂²	1	1	yes	characteristic, complemented
133	#1453	C₂²	1	1	yes	characteristic
134	#1453	C₂²	1	1	yes	characteristic, complemented
135	#1451	C₂²	1	1	yes	characteristic
136	#1451	C₂²	1	1	yes	characteristic
137	#1451	C₂²	1	1	yes	characteristic, complemented
138	#1451	C₂²	1	1	yes	characteristic, complemented
139	#1451	C₂²	1	1	yes	characteristic, complemented
140	#1451	C₂²	1	1	yes	characteristic, complemented
141	#1450	C₂²	1	1	yes	characteristic, complemented
142	C₂×#322	C₂²	1	1	yes	characteristic, complemented
143	C₂×AGL(1,ℤ/8)	C₂×C₄	1	2	yes	—
144	C₂×#135	C₂×C₄	1	1	yes	characteristic
145	C₂²×D₈	C₂×C₄	1	1	yes	characteristic
146	C₂×#131	—	2	2	no	—
147	C₂×#131	—	2	2	no	—
148	C₂×#131	C₂×C₄	1	1	yes	characteristic
149	C₂×#131	C₂×C₄	1	1	yes	characteristic
150	C₂²×M₁₆	—	2	2	no	—
151	#544	C₂×C₄	1	2	yes	—
152	#542	—	2	2	no	—
153	#542	C₂×C₄	1	2	yes	—
154	#542	C₂×C₄	1	2	yes	—
155	#540	—	2	2	no	—
156	#540	C₂×C₄	1	2	yes	—
157	#540	C₂×C₄	1	2	yes	—
158	#538	—	2	2	no	—
159	#538	—	2	2	no	—
160	#537	C₂×C₄	1	2	yes	—
161	#535	C₂×C₄	1	2	yes	—
162	#535	C₂×C₄	1	2	yes	—
163	#532	—	2	2	no	—
164	#532	C₂³	1	2	yes	—
165	#532	C₂³	1	2	yes	—
166	#529	—	2	2	no	—
167	#529	C₂³	1	2	yes	—
168	#529	C₂³	1	2	yes	—
169	#525	—	2	2	no	—
170	#525	—	2	2	no	—
171	C₄×#41	C₂³	1	2	yes	—
172	C₄×#41	C₂³	1	1	yes	characteristic
173	C₂×C₄×D₄	C₂³	1	2	yes	—
174	#501	C₂×C₄	1	2	yes	—
175	#501	C₂×C₄	1	2	yes	—
176	#500	C₂×C₄	1	1	yes	characteristic
177	#500	C₂×C₄	1	1	yes	characteristic
178	#499	C₂×C₄	1	1	yes	characteristic
179	#499	C₂×C₄	1	1	yes	characteristic
180	#496	C₂×C₄	1	2	yes	—
181	#496	C₂×C₄	1	2	yes	—
182	#495	C₂×C₄	1	1	yes	characteristic
183	#495	C₂×C₄	1	1	yes	characteristic
184	#493	C₂×C₄	1	1	yes	characteristic
185	#493	C₂×C₄	1	1	yes	characteristic
186	#490	C₂×C₄	1	2	yes	—
187	#490	C₂×C₄	1	2	yes	—
188	#489	C₂×C₄	1	2	yes	—
189	#489	C₂×C₄	1	2	yes	—
190	#488	C₂×C₄	1	2	yes	—
191	#488	C₂×C₄	1	2	yes	—
192	#486	C₂×C₄	1	2	yes	—
193	#486	C₂×C₄	1	2	yes	—
194	#469	C₂×C₄	1	2	yes	—
195	#469	C₂×C₄	1	2	yes	—
196	#469	C₂×C₄	1	2	yes	—
197	#469	C₂×C₄	1	2	yes	—
198	#468	C₂×C₄	1	2	yes	—
199	#468	C₂×C₄	1	2	yes	—
200	#468	C₂×C₄	1	2	yes	—
201	#468	C₂×C₄	1	2	yes	—
202	#467	C₂×C₄	1	1	yes	characteristic
203	#467	C₂×C₄	1	1	yes	characteristic
204	#466	C₂×C₄	1	1	yes	characteristic
205	#466	C₂×C₄	1	1	yes	characteristic
206	#466	C₂×C₄	1	1	yes	characteristic
207	#466	C₂×C₄	1	1	yes	characteristic
208	#466	C₂×C₄	1	1	yes	characteristic
209	#466	C₂×C₄	1	1	yes	characteristic
210	#466	C₂×C₄	1	2	yes	—
211	#466	C₂×C₄	1	2	yes	—
212	#465	C₂×C₄	1	2	yes	—
213	#465	C₂×C₄	1	2	yes	—
214	#446	—	2	2	no	—
215	#446	—	2	1	no	—
216	#446	D₄	1	2	yes	—
217	#446	C₂³	1	2	yes	—
218	#446	C₂³	1	2	yes	—
219	C₈×Q₈	C₂³	1	2	yes	—
220	C₈×Q₈	C₂³	1	2	yes	—
221	#442	C₂×C₄	1	2	yes	—
222	#442	C₂×C₄	1	2	yes	—
223	#440	C₂×C₄	1	2	yes	—
224	#440	C₂×C₄	1	2	yes	—
225	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
226	C₄×Q₁₆	C₂³	1	1	yes	characteristic
227	C₄×SD₁₆	C₂×C₄	1	2	yes	—
228	C₄×SD₁₆	C₂³	1	2	yes	—
229	C₄×SD₁₆	C₂³	1	2	yes	—
230	C₄×SD₁₆	C₂³	1	2	yes	—
231	C₄×D₈	C₂×C₄	1	1	yes	characteristic
232	C₄×D₈	C₂×C₄	1	1	yes	characteristic
233	C₄×D₈	C₂×C₄	1	1	yes	characteristic
234	C₄×D₈	C₂×C₄	1	2	yes	—
235	C₄×D₈	C₂³	1	2	yes	—
236	C₄×D₈	C₂³	1	1	yes	characteristic
237	C₄×D₈	C₂³	1	1	yes	characteristic
238	C₄×D₈	C₂³	1	1	yes	characteristic
239	C₄×D₈	C₂³	1	2	yes	—
240	C₄×D₈	C₂³	1	2	yes	—
241	#436	—	2	2	no	—
242	#436	—	2	2	no	—
243	#436	—	2	1	no	—
244	#436	—	2	2	no	—
245	#436	—	2	2	no	—
246	#436	—	2	2	no	—
247	#436	—	2	2	no	—
248	#436	—	2	2	no	—
249	#436	D₄	1	2	yes	—
250	#436	C₂³	1	2	yes	—
251	#436	C₂³	1	2	yes	—
252	#436	C₂³	1	2	yes	—
253	#436	C₂³	1	2	yes	—
254	#436	C₂³	1	2	yes	—
255	#436	C₂³	1	2	yes	—
256	#435	—	2	2	no	—
257	#435	—	2	2	no	—
258	#435	—	2	2	no	—
259	#435	—	2	2	no	—
260	#435	—	2	2	no	—
261	#435	—	2	2	no	—
262	#435	—	2	1	no	—
263	#435	—	2	1	no	—
264	#435	—	2	2	no	—
265	#435	—	2	2	no	—
266	#435	—	2	2	no	—
267	#435	—	2	2	no	—
268	#435	—	2	2	no	—
269	#435	—	2	2	no	—
270	#435	—	2	2	no	—
271	#435	—	2	2	no	—
272	#435	—	2	2	no	—
273	#435	—	2	2	no	—
274	#435	D₄	1	2	yes	—
275	#435	D₄	1	2	yes	—
276	C₈×D₄	—	2	2	no	—
277	C₈×D₄	—	2	2	no	—
278	C₈×D₄	—	2	2	no	—
279	C₈×D₄	—	2	2	no	—
280	C₈×D₄	C₂³	1	2	yes	—
281	C₈×D₄	C₂³	1	2	yes	—
282	C₈×D₄	C₂³	1	2	yes	—
283	C₈×D₄	C₂³	1	2	yes	—
284	C₈×D₄	C₂³	1	2	yes	—
285	C₈×D₄	C₂³	1	2	yes	—
286	#433	—	2	2	no	—
287	#433	—	2	2	no	—
288	#433	—	2	2	no	—
289	#433	—	2	2	no	—
290	#432	—	2	2	no	—
291	#432	C₂³	1	2	yes	—
292	#432	C₂³	1	2	yes	—
293	#431	—	2	2	no	—
294	#431	C₂³	1	2	yes	—
295	#431	C₂³	1	1	yes	characteristic
296	#431	C₂³	1	1	yes	characteristic
297	#431	C₂³	1	1	yes	characteristic
298	#431	C₂³	1	1	yes	characteristic
299	#431	C₂³	1	1	yes	characteristic
300	#431	C₂³	1	1	yes	characteristic
301	#428	C₂×C₄	1	2	yes	—
302	#427	C₂×C₄	1	1	yes	characteristic
303	C₂×#107	C₂×C₄	1	1	yes	characteristic
304	#424	—	2	2	no	—
305	#424	—	2	2	no	—
306	#423	—	2	2	no	—
307	#423	C₂³	1	2	yes	—
308	#423	C₂³	1	2	yes	—
309	C₂×C₄⋊C₈	C₂³	1	2	yes	—
310	#418	C₂×C₄	1	2	yes	—
311	#417	C₂×C₄	1	2	yes	—
312	#416	C₂×C₄	1	2	yes	—
313	C₂×#102	C₂×C₄	1	2	yes	—
314	#408	—	2	2	no	—
315	#408	—	2	2	no	—
316	#408	—	2	2	no	—
317	#408	—	2	2	no	—
318	#408	—	2	2	no	—
319	#408	—	2	2	no	—
320	#407	—	2	2	no	—
321	#407	—	2	2	no	—
322	C₂×C₂²⋊C₈	—	2	2	no	—
323	#405	—	2	2	no	—
324	#405	—	2	2	no	—
325	#405	C₂×C₄	1	1	yes	characteristic
326	#405	C₂×C₄	1	1	yes	characteristic
327	#405	C₂×C₄	1	1	yes	characteristic
328	#405	C₂×C₄	1	1	yes	characteristic
329	#405	C₂×C₄	1	1	yes	characteristic
330	#405	C₂×C₄	1	1	yes	characteristic
331	C₄×M₁₆	C₂³	1	1	yes	characteristic
332	C₄×M₁₆	C₂³	1	1	yes	characteristic
333	C₄×M₁₆	C₂³	1	1	yes	characteristic
334	C₄×M₁₆	C₂³	1	1	yes	characteristic
335	C₄×M₁₆	C₂³	1	1	yes	characteristic
336	C₄×M₁₆	C₂³	1	1	yes	characteristic
337	C₄×M₁₆	C₂³	1	1	yes	characteristic
338	C₂×#97	—	2	2	no	—
339	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
340	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
341	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
342	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	#335	C₂³	1	2	yes	—
345	#335	C₂³	1	2	yes	—
346	#335	C₂³	1	2	yes	—
347	#334	C₂³	1	1	yes	characteristic
348	#334	C₂³	1	1	yes	characteristic
349	#334	C₂³	1	2	yes	—
350	#334	C₂³	1	1	yes	characteristic
351	#334	C₂³	1	1	yes	characteristic
352	#334	C₂³	1	2	yes	—
353	#334	C₂³	1	2	yes	—
354	Q₈⋊C₈	C₂³	1	2	yes	—
355	Q₈⋊C₈	C₂³	1	2	yes	—
356	Q₈⋊C₈	C₂³	1	2	yes	—
357	Q₈⋊C₈	C₂³	1	2	yes	—
358	D₄⋊C₈	C₂³	1	2	yes	—
359	D₄⋊C₈	C₂³	1	2	yes	—
360	D₄⋊C₈	C₂³	1	2	yes	—
361	D₄⋊C₈	C₂³	1	2	yes	—
362	D₄⋊C₈	C₂³	1	2	yes	—
363	D₄⋊C₈	C₂³	1	2	yes	—
364	D₄⋊C₈	C₂³	1	2	yes	—
365	D₄⋊C₈	C₂³	1	2	yes	—
366	D₄⋊C₈	C₂³	1	2	yes	—
367	D₄⋊C₈	C₂³	1	2	yes	—
368	D₄⋊C₈	C₂³	1	2	yes	—
369	D₄⋊C₈	C₂³	1	2	yes	—
370	#322	C₂³	1	1	yes	characteristic
371	#322	C₂³	1	1	yes	characteristic
372	#322	C₂³	1	1	yes	characteristic
373	#322	C₂³	1	1	yes	characteristic
374	#322	C₂³	1	1	yes	characteristic
375	#322	C₂³	1	1	yes	characteristic
376	#322	C₂³	1	1	yes	characteristic
377	#322	C₂³	1	1	yes	characteristic
378	#322	C₂³	1	1	yes	characteristic
379	#322	C₂³	1	1	yes	characteristic
380	#322	C₂³	1	1	yes	characteristic
381	#322	C₂³	1	1	yes	characteristic
382	#322	C₂³	1	1	yes	characteristic
383	#322	C₂³	1	1	yes	characteristic
384	C₈²	C₂³	1	1	yes	characteristic
385	C₈²	C₂³	1	1	yes	characteristic
386	C₂×#41	—	2	2	no	—
387	C₂×#41	—	2	2	no	—
388	C₂×#41	C₂²×C₄	1	2	yes	—
389	C₂×#41	C₂²×C₄	1	1	yes	characteristic
390	C₂²×D₄	C₂²×C₄	1	2	yes	—
391	C₂³×C₄	—	2	2	no	—
392	AGL(1,ℤ/8)	—	4	4	no	—
393	#135	—	4	2	no	—
394	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
395	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
396	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
397	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
398	C₂×D₈	—	4	2	no	—
399	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
400	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
401	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
402	C₂×D₈	C₂²×C₄	1	2	yes	—
403	C₂×D₈	C₂²×C₄	1	2	yes	—
404	C₂×D₈	C₂²×C₄	1	2	yes	—
405	#131	—	4	2	no	—
406	#131	—	4	2	no	—
407	#131	—	8	4	no	—
408	#131	—	8	4	no	—
409	C₂×M₁₆	—	2	2	no	—
410	C₂×M₁₆	—	2	2	no	—
411	C₂×M₁₆	—	2	1	no	—
412	C₂×M₁₆	—	2	1	no	—
413	C₂×M₁₆	—	2	2	no	—
414	C₂×M₁₆	—	2	2	no	—
415	C₂×M₁₆	—	2	2	no	—
416	C₂×M₁₆	—	2	2	no	—
417	C₂×M₁₆	—	2	2	no	—
418	C₂×M₁₆	—	2	2	no	—
419	C₂×M₁₆	—	8	4	no	—
420	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
421	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
422	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
423	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
424	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
425	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
426	C₂×M₁₆	C₂×D₄	1	2	yes	—
427	C₂×M₁₆	C₂×D₄	1	2	yes	—
428	C₂²×C₈	—	2	2	no	—
429	C₂²×C₈	—	2	1	no	—
430	C₂²×C₈	—	2	2	no	—
431	C₂²×C₈	—	2	2	no	—
432	C₂²×C₈	—	2	2	no	—
433	C₂²×C₈	—	2	2	no	—
434	C₂²×C₈	—	2	2	no	—
435	C₂²×C₈	—	2	2	no	—
436	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
437	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
438	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
439	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
440	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
441	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
442	C₂²×C₈	C₂×D₄	1	2	yes	—
443	C₄⋊Q₈	—	2	2	no	—
444	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
445	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
446	#127	—	2	2	no	—
447	#127	C₂²×C₄	1	2	yes	—
448	#127	C₂²×C₄	1	2	yes	—
449	#126	—	2	2	no	—
450	#126	—	2	2	no	—
451	#126	—	2	2	no	—
452	#126	—	2	2	no	—
453	#125	—	2	2	no	—
454	#125	C₂²×C₄	1	2	yes	—
455	#125	C₂²×C₄	1	2	yes	—
456	#124	—	2	2	no	—
457	#124	—	2	2	no	—
458	#124	—	2	2	no	—
459	#124	—	2	2	no	—
460	#124	—	2	2	no	—
461	#124	C₂²×C₄	1	2	yes	—
462	#124	C₂²×C₄	1	2	yes	—
463	#123	—	2	2	no	—
464	#123	—	2	2	no	—
465	#123	—	2	2	no	—
466	#123	—	2	2	no	—
467	#123	—	2	2	no	—
468	#123	—	2	2	no	—
469	#123	—	2	2	no	—
470	#123	—	2	2	no	—
471	C₂²⋊Q₈	—	2	2	no	—
472	C₂²⋊Q₈	—	2	2	no	—
473	C₂²⋊Q₈	—	2	2	no	—
474	C₂²⋊Q₈	—	2	2	no	—
475	C₂²⋊Q₈	—	2	2	no	—
476	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
477	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
478	#121	—	2	2	no	—
479	#121	—	2	2	no	—
480	#121	—	2	2	no	—
481	#121	—	2	2	no	—
482	#121	—	2	2	no	—
483	#121	—	2	2	no	—
484	#121	—	2	2	no	—
485	#121	—	2	2	no	—
486	#121	—	2	2	no	—
487	#121	—	2	2	no	—
488	#121	—	2	2	no	—
489	#121	C₂²×C₄	1	2	yes	—
490	#121	C₂²×C₄	1	2	yes	—
491	#121	C₂²×C₄	1	2	yes	—
492	#121	C₂²×C₄	1	2	yes	—
493	#121	C₂²×C₄	1	2	yes	—
494	#121	C₂²×C₄	1	2	yes	—
495	#120	—	2	2	no	—
496	#120	—	2	2	no	—
497	#120	—	2	2	no	—
498	#120	—	2	2	no	—
499	C₄×Q₈	C₂²×C₄	1	2	yes	—
500	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
501	C₄×Q₈	#41	1	1	yes	characteristic
502	C₄×Q₈	C₂⁴	1	2	yes	—
503	C₄×D₄	—	2	2	no	—
504	C₄×D₄	—	2	2	no	—
505	C₄×D₄	—	2	2	no	—
506	C₄×D₄	—	2	2	no	—
507	C₄×D₄	—	2	2	no	—
508	C₄×D₄	—	2	2	no	—
509	C₄×D₄	—	2	2	no	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	C₂²×C₄	1	2	yes	—
512	C₄×D₄	C₂²×C₄	1	2	yes	—
513	C₄×D₄	C₂²×C₄	1	2	yes	—
514	C₄×D₄	C₂×D₄	1	1	yes	characteristic
515	C₄×D₄	C₂×D₄	1	1	yes	characteristic
516	C₄×D₄	C₂×D₄	1	1	yes	characteristic
517	C₄×D₄	#41	1	1	yes	characteristic
518	C₄×D₄	#41	1	1	yes	characteristic
519	C₄×D₄	#41	1	1	yes	characteristic
520	C₄×D₄	C₂⁴	1	2	yes	—
521	C₄×D₄	C₂⁴	1	2	yes	—
522	C₄×D₄	C₂⁴	1	2	yes	—
523	#117	—	2	2	no	—
524	#117	—	2	2	no	—
525	#117	—	2	2	no	—
526	#117	C₂²×C₄	1	2	yes	—
527	#117	C₂²×C₄	1	1	yes	characteristic
528	#117	C₂²×C₄	1	1	yes	characteristic
529	#117	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
531	C₂×C₂²⋊C₄	—	2	2	no	—
532	C₂×C₄²	—	2	2	no	—
533	C₂×C₄²	C₂⁴	1	1	yes	characteristic
534	C₂×C₄²	C₂⁴	1	1	yes	characteristic
535	C₂×C₄²	C₂⁴	1	1	yes	characteristic
536	#107	C₂²×C₄	1	1	yes	characteristic
537	#107	C₂²×C₄	1	1	yes	characteristic
538	#107	C₂²×C₄	1	2	yes	—
539	#107	C₂²×C₄	1	1	yes	characteristic
540	#107	C₂²×C₄	1	1	yes	characteristic
541	#107	C₂²×C₄	1	2	yes	—
542	#107	C₂²×C₄	1	2	yes	—
543	#106	C₂²×C₄	1	2	yes	—
544	#106	C₂²×C₄	1	2	yes	—
545	#106	C₂²×C₄	1	2	yes	—
546	C₄⋊C₈	—	2	2	no	—
547	C₄⋊C₈	—	2	2	no	—
548	C₄⋊C₈	—	2	2	no	—
549	C₄⋊C₈	—	2	2	no	—
550	C₄⋊C₈	—	2	2	no	—
551	C₄⋊C₈	—	2	2	no	—
552	C₄⋊C₈	—	2	2	no	—
553	C₄⋊C₈	—	2	1	no	—
554	C₄⋊C₈	—	2	1	no	—
555	C₄⋊C₈	—	2	1	no	—
556	C₄⋊C₈	C₂×D₄	1	2	yes	—
557	C₄⋊C₈	C₂×D₄	1	2	yes	—
558	C₄⋊C₈	C₂×D₄	1	2	yes	—
559	C₄⋊C₈	C₂⁴	1	2	yes	—
560	C₄⋊C₈	C₂⁴	1	2	yes	—
561	C₄⋊C₈	C₂⁴	1	2	yes	—
562	C₄⋊C₈	C₂⁴	1	2	yes	—
563	#103	C₂²×C₄	1	2	yes	—
564	#103	C₂²×C₄	1	2	yes	—
565	#103	C₂²×C₄	1	2	yes	—
566	#103	C₂²×C₄	1	2	yes	—
567	#102	C₂²×C₄	1	2	yes	—
568	#102	C₂²×C₄	1	2	yes	—
569	#102	C₂²×C₄	1	2	yes	—
570	#102	C₂²×C₄	1	2	yes	—
571	#102	C₂²×C₄	1	2	yes	—
572	#102	C₂²×C₄	1	2	yes	—
573	#102	C₂²×C₄	1	2	yes	—
574	#102	C₂²×C₄	1	2	yes	—
575	#102	C₂²×C₄	1	2	yes	—
576	#102	C₂²×C₄	1	2	yes	—
577	#102	C₂²×C₄	1	2	yes	—
578	#102	C₂²×C₄	1	2	yes	—
579	C₂²⋊C₈	—	2	2	no	—
580	C₂²⋊C₈	—	2	2	no	—
581	C₂²⋊C₈	—	2	2	no	—
582	C₂²⋊C₈	—	2	1	no	—
583	C₂²⋊C₈	—	2	1	no	—
584	C₂²⋊C₈	—	2	1	no	—
585	C₂²⋊C₈	—	2	2	no	—
586	C₂²⋊C₈	—	2	2	no	—
587	C₂²⋊C₈	—	2	2	no	—
588	C₂²⋊C₈	—	2	2	no	—
589	C₂²⋊C₈	—	2	2	no	—
590	C₂²⋊C₈	—	2	2	no	—
591	C₂²⋊C₈	—	2	2	no	—
592	C₂²⋊C₈	—	2	2	no	—
593	C₂²⋊C₈	—	2	2	no	—
594	C₂²⋊C₈	—	2	2	no	—
595	C₂²⋊C₈	—	2	2	no	—
596	C₂²⋊C₈	—	2	2	no	—
597	C₂²⋊C₈	C₂×D₄	1	2	yes	—
598	C₂²⋊C₈	C₂×D₄	1	2	yes	—
599	C₂²⋊C₈	C₂×D₄	1	2	yes	—
600	#97	—	2	2	no	—
601	#97	—	2	2	no	—
602	#97	—	2	2	no	—
603	#97	—	2	2	no	—
604	#97	—	2	1	no	—
605	#97	—	2	1	no	—
606	#97	C₂²×C₄	1	1	yes	characteristic
607	#97	C₂²×C₄	1	1	yes	characteristic
608	#97	C₂²×C₄	1	1	yes	characteristic
609	#97	C₂²×C₄	1	1	yes	characteristic
610	#97	C₂²×C₄	1	1	yes	characteristic
611	#97	C₂²×C₄	1	1	yes	characteristic
612	#97	C₂×D₄	1	2	yes	—
613	#97	C₂×D₄	1	2	yes	—
614	C₄×C₈	—	2	2	no	—
615	C₄×C₈	—	2	2	no	—
616	C₄×C₈	—	2	2	no	—
617	C₄×C₈	—	2	1	no	—
618	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
619	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
620	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
621	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
622	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
623	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
624	C₄×C₈	C₂×D₄	1	2	yes	—
625	C₄×C₈	C₂⁴	1	1	yes	characteristic
626	C₄×C₈	C₂⁴	1	1	yes	characteristic
627	C₄×C₈	C₂⁴	1	1	yes	characteristic
628	C₄×C₈	C₂⁴	1	1	yes	characteristic
629	C₄×C₈	C₂⁴	1	1	yes	characteristic
630	C₄×C₈	C₂⁴	1	1	yes	characteristic
631	C₄×C₈	C₂⁴	1	1	yes	characteristic
632	C₄×C₈	C₂⁴	1	1	yes	characteristic
633	C₄×C₈	C₂⁴	1	1	yes	characteristic
634	C₄×C₈	C₂⁴	1	1	yes	characteristic
635	C₄×C₈	C₂⁴	1	1	yes	characteristic
636	C₄×C₈	C₂⁴	1	1	yes	characteristic
637	C₂⁴	—	2	2	no	—
638	#41	—	4	1	no	—
639	#41	—	4	1	no	—
640	#41	—	4	2	no	—
641	#41	—	4	2	no	—
642	#41	—	8	2	no	—
643	#41	—	8	2	no	—
644	#41	—	8	2	no	—
645	#41	—	8	2	no	—
646	C₂×Q₈	—	2	2	no	—
647	C₂×Q₈	—	2	2	no	—
648	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
649	C₂×Q₈	C₂³×C₄	1	2	yes	—
650	C₂×D₄	—	2	2	no	—
651	C₂×D₄	—	2	2	no	—
652	C₂×D₄	—	2	2	no	—
653	C₂×D₄	—	2	2	no	—
654	C₂×D₄	—	2	2	no	—
655	C₂×D₄	—	2	2	no	—
656	C₂×D₄	—	2	2	no	—
657	C₂×D₄	—	2	2	no	—
658	C₂×D₄	—	2	2	no	—
659	C₂×D₄	—	2	2	no	—
660	C₂×D₄	—	2	2	no	—
661	C₂×D₄	—	2	2	no	—
662	C₂×D₄	—	4	2	no	—
663	C₂×D₄	—	4	2	no	—
664	C₂×D₄	C₄×D₄	1	1	yes	characteristic
665	C₂×D₄	C₄×D₄	1	1	yes	characteristic
666	C₂×D₄	C₄×D₄	1	1	yes	characteristic
667	C₂×D₄	C₂³×C₄	1	2	yes	—
668	C₂×D₄	C₂³×C₄	1	2	yes	—
669	C₂×D₄	C₂³×C₄	1	2	yes	—
670	C₂²×C₄	—	2	2	no	—
671	C₂²×C₄	—	2	2	no	—
672	C₂²×C₄	—	2	2	no	—
673	C₂²×C₄	—	2	2	no	—
674	C₂²×C₄	—	2	2	no	—
675	C₂²×C₄	—	2	2	no	—
676	C₂²×C₄	—	2	2	no	—
677	C₂²×C₄	—	2	2	no	—
678	C₂²×C₄	—	8	2	no	—
679	C₂²×C₄	—	8	2	no	—
680	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
681	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
682	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
683	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
684	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
685	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
686	C₂²×C₄	C₂×#41	1	1	yes	characteristic
687	C₂²×C₄	C₂×#41	1	1	yes	characteristic
688	C₂²×C₄	C₂×#41	1	1	yes	characteristic
689	Q₁₆	—	2	2	no	—
690	SD₁₆	—	2	4	no	—
691	SD₁₆	—	4	2	no	—
692	SD₁₆	—	4	2	no	—
693	D₈	—	2	2	no	—
694	D₈	—	2	2	no	—
695	D₈	—	2	2	no	—
696	D₈	—	2	4	no	—
697	D₈	—	4	2	no	—
698	D₈	—	4	2	no	—
699	M₁₆	—	2	2	no	—
700	M₁₆	—	2	2	no	—
701	M₁₆	—	4	2	no	—
702	M₁₆	—	4	1	no	—
703	M₁₆	—	4	1	no	—
704	M₁₆	—	4	1	no	—
705	M₁₆	—	4	1	no	—
706	M₁₆	—	4	2	no	—
707	M₁₆	—	4	4	no	—
708	M₁₆	—	8	2	no	—
709	M₁₆	—	8	2	no	—
710	M₁₆	—	8	2	no	—
711	M₁₆	—	8	2	no	—
712	M₁₆	—	8	2	no	—
713	M₁₆	—	8	2	no	—
714	M₁₆	—	8	2	no	—
715	M₁₆	—	8	1	no	—
716	M₁₆	—	8	1	no	—
717	C₂×C₈	—	2	2	no	—
718	C₂×C₈	—	2	2	no	—
719	C₂×C₈	—	2	2	no	—
720	C₂×C₈	—	2	2	no	—
721	C₂×C₈	—	2	2	no	—
722	C₂×C₈	—	2	2	no	—
723	C₂×C₈	—	2	2	no	—
724	C₂×C₈	—	2	2	no	—
725	C₂×C₈	—	2	1	no	—
726	C₂×C₈	—	2	1	no	—
727	C₂×C₈	—	2	1	no	—
728	C₂×C₈	—	2	1	no	—
729	C₂×C₈	—	4	1	no	—
730	C₂×C₈	—	4	1	no	—
731	C₂×C₈	—	4	2	no	—
732	C₂×C₈	—	4	4	no	—
733	C₂×C₈	—	4	4	no	—
734	C₂×C₈	—	8	2	no	—
735	C₂×C₈	—	8	2	no	—
736	C₂×C₈	—	8	2	no	—
737	C₂×C₈	—	8	2	no	—
738	C₂×C₈	—	8	2	no	—
739	C₂×C₈	—	8	1	no	—
740	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
741	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
742	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
743	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
744	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
745	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
746	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
747	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
748	C₂×C₈	C₂²×D₄	1	2	yes	—
749	C₂×C₈	C₂²×D₄	1	2	yes	—
750	C₂×C₈	C₂²×D₄	1	2	yes	—
751	C₂×C₈	C₂²×D₄	1	2	yes	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	2	no	—
754	C₄⋊C₄	—	2	2	no	—
755	C₄⋊C₄	—	2	2	no	—
756	C₄⋊C₄	—	2	2	no	—
757	C₄⋊C₄	—	2	2	no	—
758	C₄⋊C₄	—	2	2	no	—
759	C₄⋊C₄	—	2	2	no	—
760	C₄⋊C₄	—	2	2	no	—
761	C₄⋊C₄	—	2	2	no	—
762	C₄⋊C₄	—	2	2	no	—
763	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
764	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
765	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
766	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
767	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
768	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
769	C₄⋊C₄	C₂³×C₄	1	2	yes	—
770	C₄⋊C₄	C₂³×C₄	1	2	yes	—
771	C₄⋊C₄	C₂³×C₄	1	2	yes	—
772	C₄⋊C₄	C₂³×C₄	1	2	yes	—
773	C₂²⋊C₄	—	2	2	no	—
774	C₂²⋊C₄	—	2	2	no	—
775	C₂²⋊C₄	—	2	2	no	—
776	C₂²⋊C₄	—	2	2	no	—
777	C₂²⋊C₄	—	2	2	no	—
778	C₂²⋊C₄	—	2	2	no	—
779	C₂²⋊C₄	—	2	2	no	—
780	C₂²⋊C₄	—	2	2	no	—
781	C₂²⋊C₄	—	2	2	no	—
782	C₂²⋊C₄	—	2	2	no	—
783	C₂²⋊C₄	—	2	2	no	—
784	C₂²⋊C₄	—	2	2	no	—
785	C₂²⋊C₄	—	2	2	no	—
786	C₂²⋊C₄	—	2	2	no	—
787	C₂²⋊C₄	—	2	2	no	—
788	C₂²⋊C₄	—	2	2	no	—
789	C₂²⋊C₄	—	2	2	no	—
790	C₂²⋊C₄	—	2	2	no	—
791	C₂²⋊C₄	—	2	2	no	—
792	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
793	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
794	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
795	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
796	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
797	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
798	C₄²	—	2	2	no	—
799	C₄²	—	2	2	no	—
800	C₄²	—	2	2	no	—
801	C₄²	C₂³×C₄	1	1	yes	characteristic
802	C₄²	C₂³×C₄	1	1	yes	characteristic
803	C₄²	C₂³×C₄	1	1	yes	characteristic
804	C₄²	C₂²×D₄	1	1	yes	characteristic
805	C₄²	C₂²×D₄	1	1	yes	characteristic
806	C₄²	C₂²×D₄	1	1	yes	characteristic
807	C₄²	C₂×#41	1	1	yes	characteristic
808	C₄²	C₂×#41	1	1	yes	characteristic
809	C₄²	C₂×#41	1	1	yes	characteristic
810	C₄²	C₂⁵	1	1	yes	characteristic
811	C₂³	—	2	2	no	—
812	C₂³	—	2	2	no	—
813	C₂³	—	2	2	no	—
814	C₂³	—	8	2	no	—
815	C₂³	—	8	2	no	—
816	C₂³	—	8	2	no	—
817	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
818	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
819	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
820	Q₈	—	2	2	no	—
821	Q₈	—	2	2	no	—
822	Q₈	—	4	1	no	—
823	Q₈	—	8	2	no	—
824	Q₈	—	8	2	no	—
825	D₄	—	2	2	no	—
826	D₄	—	2	2	no	—
827	D₄	—	2	2	no	—
828	D₄	—	2	2	no	—
829	D₄	—	2	2	no	—
830	D₄	—	2	2	no	—
831	D₄	—	4	1	no	—
832	D₄	—	4	1	no	—
833	D₄	—	4	1	no	—
834	D₄	—	8	2	no	—
835	D₄	—	8	2	no	—
836	D₄	—	8	2	no	—
837	D₄	—	8	2	no	—
838	D₄	—	8	2	no	—
839	D₄	—	8	2	no	—
840	D₄	—	8	2	no	—
841	D₄	—	8	2	no	—
842	D₄	—	8	2	no	—
843	D₄	—	8	2	no	—
844	D₄	—	8	2	no	—
845	D₄	—	8	2	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	2	no	—
859	C₂×C₄	—	2	2	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	1	no	—
862	C₂×C₄	—	4	1	no	—
863	C₂×C₄	—	4	2	no	—
864	C₂×C₄	—	4	2	no	—
865	C₂×C₄	—	4	2	no	—
866	C₂×C₄	—	4	2	no	—
867	C₂×C₄	—	4	2	no	—
868	C₂×C₄	—	4	2	no	—
869	C₂×C₄	—	8	2	no	—
870	C₂×C₄	—	8	2	no	—
871	C₂×C₄	—	8	2	no	—
872	C₂×C₄	—	8	2	no	—
873	C₂×C₄	—	8	2	no	—
874	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
875	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
876	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
877	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
878	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
879	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
880	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
881	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
882	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
883	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
885	C₂×C₄	C₂²×#41	1	1	yes	characteristic
886	C₈	—	2	2	no	—
887	C₈	—	2	2	no	—
888	C₈	—	2	2	no	—
889	C₈	—	2	2	no	—
890	C₈	—	2	1	no	—
891	C₈	—	2	1	no	—
892	C₈	—	2	1	no	—
893	C₈	—	2	1	no	—
894	C₈	—	2	1	no	—
895	C₈	—	2	1	no	—
896	C₈	—	4	1	no	—
897	C₈	—	4	1	no	—
898	C₈	—	4	1	no	—
899	C₈	—	4	1	no	—
900	C₈	—	4	2	no	—
901	C₈	—	4	2	no	—
902	C₈	—	4	2	no	—
903	C₈	—	4	2	no	—
904	C₈	#568	1	2	yes	—
905	C₈	#568	1	2	yes	—
906	C₂²	—	2	1	no	—
907	C₂²	—	2	1	no	—
908	C₂²	—	2	1	no	—
909	C₂²	—	2	1	no	—
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	2	1	no	—
915	C₂²	—	4	2	no	—
916	C₂²	—	4	2	no	—
917	C₂²	—	4	2	no	—
918	C₂²	—	4	2	no	—
919	C₂²	—	4	2	no	—
920	C₂²	—	4	2	no	—
921	C₂²	—	4	2	no	—
922	C₂²	—	4	2	no	—
923	C₂²	—	4	2	no	—
924	C₂²	—	16	4	no	—
925	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	1	no	—
930	C₄	—	2	1	no	—
931	C₄	—	2	1	no	—
932	C₄	—	2	1	no	—
933	C₄	—	2	1	no	—
934	C₄	—	2	1	no	—
935	C₄	—	2	1	no	—
936	C₄	—	4	2	no	—
937	C₄	—	4	2	no	—
938	C₄	—	4	2	no	—
939	C₄	—	4	2	no	—
940	C₄	—	4	2	no	—
941	C₄	C₂×#568	1	1	yes	characteristic
942	C₄	C₂×#568	1	1	yes	characteristic
943	C₄	#3585	1	2	yes	—
944	C₂	—	4	1	no	—
945	C₂	—	4	1	no	—
946	C₂	—	4	1	no	—
947	C₂	—	8	2	no	—
948	C₂	—	8	2	no	—
949	C₂	—	8	2	no	—
950	C₂	#60144	1	1	yes	characteristic
951	C₂	#60176	1	1	yes	characteristic
952	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	#60695	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ #2965 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60319	C₂	semidirect
3. #18093	C₂	semidirect
4. #18091	C₂	semidirect
5. #18080	C₂	semidirect
6. #18078	C₂	semidirect
7. #18075	C₂	semidirect
8. #18073	C₂	semidirect
9. #18064	C₂	semidirect
10. #18063	C₂	semidirect
11. #18052	C₂	semidirect
12. #18046	C₂	semidirect
13. #18045	C₂	semidirect
14. #18044	C₂	semidirect
15. #17987	C₂	semidirect
16. #17985	C₂	semidirect
17. #17974	C₂	semidirect
18. #17970	C₂	semidirect
19. #17963	C₂	semidirect
20. #17962	C₂	semidirect
21. #17798	C₂	semidirect
22. #17505	C₂	semidirect
23. #17336	C₂	semidirect
44. #2994	C₂²	semidirect
45. #2993	C₂²	semidirect
49. #2981	C₂²	semidirect
50. #2979	C₂²	semidirect
55. #2969	C₂²	semidirect
57. #2966	C₂²	semidirect
63. #2935	C₂²	semidirect
67. #2931	C₂²	semidirect
74. #1594	C₂²	semidirect
75. #1594	C₂²	semidirect
76. #1594	C₂²	semidirect
77. #1593	C₂²	semidirect
78. #1593	C₂²	semidirect
79. #1592	C₂²	semidirect
80. #1590	C₂²	semidirect
81. #1589	C₂²	semidirect
82. #1588	C₂²	semidirect
85. #1586	C₂²	semidirect
86. #1586	C₂²	semidirect
87. #1585	C₂²	semidirect
88. #1585	C₂²	semidirect
89. #1585	C₂²	semidirect
90. #1583	C₂²	semidirect
91. #1583	C₂²	semidirect
92. #1583	C₂²	semidirect
93. #1582	C₂²	semidirect
96. #1581	C₂²	semidirect
97. #1581	C₂²	semidirect
102. #1580	C₂²	semidirect
103. #1580	C₂²	semidirect
104. #1580	C₂²	semidirect
105. #1579	C₂²	semidirect
106. #1579	C₂²	semidirect
107. SD₁₆⋊C₈	C₂²	semidirect
108. C₈×SD₁₆	C₂²	semidirect
109. C₈×D₈	C₂²	semidirect
111. #1569	C₂²	semidirect
113. #1568	C₂²	semidirect
115. #1566	C₂²	semidirect
116. #1565	C₂²	semidirect
117. #1564	C₂²	semidirect
118. C₂×#334	C₂²	semidirect
119. #1496	C₂²	semidirect
120. #1495	C₂²	semidirect
121. #1494	C₂²	semidirect
122. #1492	C₂²	semidirect
127. #1484	C₂²	semidirect
128. #1483	C₂²	semidirect
129. #1482	C₂²	semidirect
130. #1480	C₂²	semidirect
132. #1455	C₂²	semidirect
134. #1453	C₂²	semidirect
137. #1451	C₂²	semidirect
138. #1451	C₂²	semidirect
139. #1451	C₂²	semidirect
140. #1451	C₂²	semidirect
141. #1450	C₂²	semidirect
142. 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
#60695	2
#60319	2
#18093	2
#18091	2
#18080	2
#18078	2
#18075	2
#18073	2
#18064	2
#18063	2
#18052	2
#18046	2
#18045	2
#18044	2
#17987	2
#17985	2
#17974	2
#17970	2
#17963	2
#17962	2
#17798	2
#17505	2
#17336	2