Subgroups — #6345782

Order 512.

1502 conjugacy classes of subgroups.

The subgroup lattice has 945 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60696	C₂	1	1	yes	maximal, characteristic
2	#60344	C₂	1	2	yes	maximal, complemented
3	#18087	C₂	1	1	yes	maximal, characteristic, complemented
4	#18086	C₂	1	1	yes	maximal, characteristic, complemented
5	#18083	C₂	1	2	yes	maximal, complemented
6	#18077	C₂	1	2	yes	maximal, complemented
7	#18069	C₂	1	1	yes	maximal, characteristic, complemented
8	#18068	C₂	1	1	yes	maximal, characteristic, complemented
9	#18059	C₂	1	1	yes	maximal, characteristic, complemented
10	#18058	C₂	1	1	yes	maximal, characteristic, complemented
11	#18053	C₂	1	2	yes	maximal, complemented
12	#18047	C₂	1	2	yes	maximal, complemented
13	M₁₆×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	#18035	C₂	1	1	yes	maximal, characteristic, complemented
15	#17988	C₂	1	2	yes	maximal, complemented
16	#17986	C₂	1	2	yes	maximal, complemented
17	#17973	C₂	1	1	yes	maximal, characteristic, complemented
18	#17972	C₂	1	1	yes	maximal, characteristic, complemented
19	#17959	C₂	1	1	yes	maximal, characteristic, complemented
20	#17958	C₂	1	1	yes	maximal, characteristic, complemented
21	#17799	C₂	1	1	yes	maximal, characteristic, complemented
22	#17506	C₂	1	2	yes	maximal, complemented
23	#17335	C₂	1	1	yes	maximal, characteristic, complemented
24	#3461	C₂²	1	2	yes	—
25	#3178	C₄	1	2	yes	—
26	#3178	C₄	1	2	yes	—
27	#3177	C₄	1	1	yes	characteristic
28	#3177	C₄	1	1	yes	characteristic
29	#3175	C₄	1	1	yes	characteristic
30	#3175	C₄	1	1	yes	characteristic
31	#3172	C₂²	1	2	yes	—
32	#3172	C₂²	1	2	yes	—
33	#3170	C₂²	1	1	yes	characteristic
34	#3170	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	#3156	C₄	1	1	yes	characteristic
39	#3137	C₄	1	2	yes	—
40	#3063	C₄	1	2	yes	—
41	#3061	C₄	1	1	yes	characteristic
42	#3059	C₄	1	1	yes	characteristic
43	#2995	—	2	2	no	—
44	#2995	—	2	2	no	—
45	#2994	C₂²	1	2	yes	—
46	#2993	—	2	2	no	—
47	#2993	C₂²	1	2	yes	—
48	#2991	C₂²	1	2	yes	—
49	#2989	C₂²	1	2	yes	—
50	#2986	C₂²	1	2	yes	—
51	#2985	—	2	2	no	—
52	#2985	C₂²	1	2	yes	—
53	#2984	C₂²	1	2	yes	—
54	#2970	C₂²	1	2	yes	—
55	#2969	—	2	2	no	—
56	#2969	C₂²	1	2	yes	—
57	#2968	—	2	2	no	—
58	#2967	—	2	2	no	—
59	#2966	C₂²	1	2	yes	—
60	#2965	C₂²	1	1	yes	characteristic
61	#2965	C₂²	1	1	yes	characteristic
62	Q₈×M₁₆	C₂²	1	2	yes	—
63	#2962	C₂²	1	2	yes	—
64	#2961	—	2	2	no	—
65	#2960	C₂²	1	2	yes	—
66	C₄×#137	C₂²	1	2	yes	—
67	C₄×#135	C₂²	1	1	yes	characteristic
68	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
69	C₄×#131	C₂²	1	1	yes	characteristic
70	#1593	C₂²	1	2	yes	—
71	#1592	C₂²	1	2	yes	—
72	#1591	C₂²	1	1	yes	characteristic
73	#1591	C₂²	1	1	yes	characteristic
74	#1591	C₂²	1	2	yes	—
75	#1591	C₂²	1	1	yes	characteristic
76	#1591	C₂²	1	1	yes	characteristic
77	#1591	C₂²	1	1	yes	characteristic
78	#1591	C₂²	1	1	yes	characteristic
79	#1590	C₂²	1	2	yes	—
80	#1589	C₂²	1	1	yes	characteristic
81	#1589	C₂²	1	1	yes	characteristic
82	#1588	C₂²	1	2	yes	—
83	#1588	C₂²	1	2	yes	—
84	#1588	C₂²	1	2	yes	—
85	#1587	C₂²	1	2	yes	—
86	#1587	C₂²	1	2	yes	—
87	#1587	C₂²	1	2	yes	—
88	#1587	C₂²	1	2	yes	—
89	#1585	C₂²	1	2	yes	—
90	#1584	C₂²	1	2	yes	—
91	#1584	C₂²	1	2	yes	—
92	#1584	C₂²	1	2	yes	—
93	#1584	C₂²	1	2	yes	—
94	#1583	C₂²	1	2	yes	—
95	#1582	C₂²	1	2	yes	—
96	#1582	C₂²	1	2	yes	—
97	#1582	C₂²	1	2	yes	—
98	#1579	C₂²	1	2	yes	—
99	SD₁₆⋊C₈	C₂²	1	2	yes	—
100	C₈×Q₁₆	C₂²	1	2	yes	—
101	C₈×Q₁₆	C₂²	1	1	yes	characteristic
102	C₈×Q₁₆	C₂²	1	1	yes	characteristic
103	C₈×Q₁₆	C₂²	1	1	yes	characteristic
104	C₈×Q₁₆	C₂²	1	1	yes	characteristic
105	C₈×Q₁₆	C₂²	1	1	yes	characteristic
106	C₈×Q₁₆	C₂²	1	1	yes	characteristic
107	C₈×SD₁₆	C₂²	1	2	yes	—
108	C₈×D₈	C₂²	1	1	yes	characteristic
109	C₈×D₈	C₂²	1	1	yes	characteristic
110	#1569	C₂²	1	2	yes	—
111	#1569	C₂²	1	2	yes	—
112	#1568	C₂²	1	1	yes	characteristic
113	#1568	C₂²	1	1	yes	characteristic
114	#1567	C₂²	1	1	yes	characteristic
115	#1567	C₂²	1	1	yes	characteristic
116	#1565	C₂²	1	2	yes	—
117	#1564	C₂²	1	1	yes	characteristic
118	C₂×#335	C₂²	1	1	yes	characteristic
119	#1497	C₂²	1	2	yes	—
120	#1495	C₂²	1	2	yes	—
121	#1494	C₂²	1	2	yes	—
122	#1493	C₂²	1	2	yes	—
123	#1491	C₂²	1	2	yes	—
124	#1489	C₂²	1	2	yes	—
125	#1488	C₂²	1	2	yes	—
126	#1487	C₂²	1	2	yes	—
127	#1485	C₂²	1	2	yes	—
128	#1483	C₂²	1	2	yes	—
129	#1482	C₂²	1	2	yes	—
130	#1481	C₂²	1	2	yes	—
131	#1455	C₂²	1	1	yes	characteristic
132	#1455	C₂²	1	1	yes	characteristic
133	#1453	C₂²	1	1	yes	characteristic
134	#1453	C₂²	1	1	yes	characteristic
135	#1451	C₂²	1	1	yes	characteristic
136	#1451	C₂²	1	1	yes	characteristic
137	#1450	C₂²	1	1	yes	characteristic
138	C₈×M₁₆	C₂²	1	1	yes	characteristic
139	C₈×M₁₆	C₂²	1	1	yes	characteristic
140	C₈×M₁₆	C₂²	1	1	yes	characteristic
141	C₈×M₁₆	C₂²	1	1	yes	characteristic
142	C₂×C₈²	C₂²	1	1	yes	characteristic
143	C₂×#137	C₂×C₄	1	2	yes	—
144	C₂×#135	C₂×C₄	1	1	yes	characteristic
145	C₂²×Q₁₆	C₂×C₄	1	1	yes	characteristic
146	C₂×#131	C₂×C₄	1	1	yes	characteristic
147	C₂×#131	C₂×C₄	1	1	yes	characteristic
148	#544	C₂×C₄	1	2	yes	—
149	#542	—	2	2	no	—
150	#542	C₂×C₄	1	2	yes	—
151	#542	C₂×C₄	1	2	yes	—
152	#541	—	2	2	no	—
153	#541	C₂×C₄	1	2	yes	—
154	#541	C₂×C₄	1	2	yes	—
155	#539	—	2	2	no	—
156	#539	—	2	2	no	—
157	#537	C₂×C₄	1	2	yes	—
158	#536	C₂×C₄	1	2	yes	—
159	#536	C₂×C₄	1	2	yes	—
160	#533	—	2	2	no	—
161	#533	C₂³	1	2	yes	—
162	#533	C₂³	1	2	yes	—
163	#529	—	2	2	no	—
164	#529	—	2	2	no	—
165	#529	—	2	2	no	—
166	#529	C₂³	1	2	yes	—
167	#529	C₂³	1	2	yes	—
168	C₄×#41	C₂³	1	2	yes	—
169	C₄×#41	C₂³	1	1	yes	characteristic
170	C₂×C₄×Q₈	C₂³	1	2	yes	—
171	#501	C₂×C₄	1	2	yes	—
172	#501	C₂×C₄	1	2	yes	—
173	#500	C₂×C₄	1	1	yes	characteristic
174	#500	C₂×C₄	1	1	yes	characteristic
175	#499	C₂×C₄	1	1	yes	characteristic
176	#499	C₂×C₄	1	1	yes	characteristic
177	#497	C₂×C₄	1	2	yes	—
178	#497	C₂×C₄	1	2	yes	—
179	#495	C₂×C₄	1	1	yes	characteristic
180	#495	C₂×C₄	1	1	yes	characteristic
181	#494	C₂×C₄	1	1	yes	characteristic
182	#494	C₂×C₄	1	1	yes	characteristic
183	#491	C₂×C₄	1	2	yes	—
184	#491	C₂×C₄	1	2	yes	—
185	#489	C₂×C₄	1	2	yes	—
186	#489	C₂×C₄	1	2	yes	—
187	#488	C₂×C₄	1	2	yes	—
188	#488	C₂×C₄	1	2	yes	—
189	#487	C₂×C₄	1	2	yes	—
190	#487	C₂×C₄	1	2	yes	—
191	#470	C₂×C₄	1	2	yes	—
192	#470	C₂×C₄	1	2	yes	—
193	#470	C₂×C₄	1	2	yes	—
194	#470	C₂×C₄	1	2	yes	—
195	#468	C₂×C₄	1	2	yes	—
196	#468	C₂×C₄	1	2	yes	—
197	#468	C₂×C₄	1	2	yes	—
198	#468	C₂×C₄	1	2	yes	—
199	#467	C₂×C₄	1	1	yes	characteristic
200	#467	C₂×C₄	1	1	yes	characteristic
201	#467	C₂×C₄	1	1	yes	characteristic
202	#467	C₂×C₄	1	1	yes	characteristic
203	#467	C₂×C₄	1	1	yes	characteristic
204	#467	C₂×C₄	1	1	yes	characteristic
205	#467	C₂×C₄	1	2	yes	—
206	#467	C₂×C₄	1	2	yes	—
207	#466	C₂×C₄	1	1	yes	characteristic
208	#466	C₂×C₄	1	1	yes	characteristic
209	#465	C₂×C₄	1	2	yes	—
210	#465	C₂×C₄	1	2	yes	—
211	#446	—	2	2	no	—
212	#446	—	2	1	no	—
213	#446	—	2	2	no	—
214	#446	—	2	2	no	—
215	#446	—	2	2	no	—
216	#446	—	2	2	no	—
217	#446	—	2	2	no	—
218	#446	—	2	2	no	—
219	#446	—	2	2	no	—
220	#446	—	2	2	no	—
221	#446	—	2	2	no	—
222	#446	—	2	2	no	—
223	#446	D₄	1	1	yes	characteristic
224	#446	D₄	1	1	yes	characteristic
225	#446	C₂³	1	2	yes	—
226	#446	C₂³	1	2	yes	—
227	#446	C₂³	1	2	yes	—
228	#446	C₂³	1	2	yes	—
229	#446	C₂³	1	2	yes	—
230	#446	C₂³	1	2	yes	—
231	C₈×Q₈	—	2	2	no	—
232	C₈×Q₈	—	2	2	no	—
233	C₈×Q₈	C₂³	1	2	yes	—
234	C₈×Q₈	C₂³	1	2	yes	—
235	C₈×Q₈	C₂³	1	2	yes	—
236	C₈×Q₈	C₂³	1	2	yes	—
237	C₈×Q₈	C₂³	1	2	yes	—
238	C₈×Q₈	C₂³	1	2	yes	—
239	#441	C₂×C₄	1	2	yes	—
240	#441	C₂×C₄	1	2	yes	—
241	#440	C₂×C₄	1	2	yes	—
242	#440	C₂×C₄	1	2	yes	—
243	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
244	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
245	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
246	C₄×Q₁₆	C₂×C₄	1	2	yes	—
247	C₄×Q₁₆	C₂³	1	1	yes	characteristic
248	C₄×Q₁₆	C₂³	1	1	yes	characteristic
249	C₄×Q₁₆	C₂³	1	1	yes	characteristic
250	C₄×Q₁₆	C₂³	1	2	yes	—
251	C₄×Q₁₆	C₂³	1	2	yes	—
252	C₄×Q₁₆	C₂³	1	2	yes	—
253	C₄×SD₁₆	C₂×C₄	1	2	yes	—
254	C₄×SD₁₆	C₂³	1	2	yes	—
255	C₄×SD₁₆	C₂³	1	2	yes	—
256	C₄×SD₁₆	C₂³	1	2	yes	—
257	C₄×D₈	C₂×C₄	1	1	yes	characteristic
258	C₄×D₈	C₂³	1	1	yes	characteristic
259	#436	—	2	2	no	—
260	#436	—	2	2	no	—
261	#436	—	2	1	no	—
262	#436	—	2	2	no	—
263	#436	—	2	2	no	—
264	#436	—	2	2	no	—
265	#436	D₄	1	1	yes	characteristic
266	#436	D₄	1	1	yes	characteristic
267	#436	C₂³	1	2	yes	—
268	#436	C₂³	1	2	yes	—
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	—	2	2	no	—
275	#435	—	2	1	no	—
276	#435	—	2	1	no	—
277	#435	—	2	2	no	—
278	#435	—	2	2	no	—
279	#435	D₄	1	1	yes	characteristic
280	#435	D₄	1	1	yes	characteristic
281	#435	D₄	1	1	yes	characteristic
282	#435	D₄	1	1	yes	characteristic
283	C₈×D₄	—	2	2	no	—
284	C₈×D₄	—	2	2	no	—
285	C₈×D₄	C₂³	1	2	yes	—
286	C₈×D₄	C₂³	1	2	yes	—
287	#433	—	2	2	no	—
288	#433	—	2	2	no	—
289	#433	—	2	2	no	—
290	#433	—	2	2	no	—
291	#433	—	2	2	no	—
292	#433	—	2	2	no	—
293	#433	—	2	2	no	—
294	#433	—	2	2	no	—
295	#432	—	2	2	no	—
296	#432	—	2	2	no	—
297	#432	C₂³	1	2	yes	—
298	#432	C₂³	1	2	yes	—
299	#431	—	2	2	no	—
300	#431	—	2	2	no	—
301	#431	C₂³	1	2	yes	—
302	#431	C₂³	1	1	yes	characteristic
303	#431	C₂³	1	1	yes	characteristic
304	#431	C₂³	1	1	yes	characteristic
305	#431	C₂³	1	1	yes	characteristic
306	#431	C₂³	1	1	yes	characteristic
307	#431	C₂³	1	1	yes	characteristic
308	#428	C₂×C₄	1	2	yes	—
309	#427	C₂×C₄	1	1	yes	characteristic
310	C₂×#107	C₂×C₄	1	1	yes	characteristic
311	#424	—	2	2	no	—
312	#424	—	2	2	no	—
313	#424	—	2	2	no	—
314	#424	—	2	2	no	—
315	#423	—	2	2	no	—
316	#423	—	2	2	no	—
317	#423	C₂³	1	2	yes	—
318	#423	C₂³	1	2	yes	—
319	C₂×C₄⋊C₈	C₂³	1	2	yes	—
320	#419	C₂×C₄	1	2	yes	—
321	#417	C₂×C₄	1	2	yes	—
322	#416	C₂×C₄	1	2	yes	—
323	C₂×#103	C₂×C₄	1	2	yes	—
324	#405	—	2	2	no	—
325	#405	—	2	2	no	—
326	#405	—	2	2	no	—
327	#405	—	2	2	no	—
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	#405	C₂×C₄	1	1	yes	characteristic
332	#405	C₂×C₄	1	1	yes	characteristic
333	#405	C₂×C₄	1	1	yes	characteristic
334	C₄×M₁₆	—	2	2	no	—
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	C₄×M₁₆	C₂³	1	1	yes	characteristic
339	C₄×M₁₆	C₂³	1	1	yes	characteristic
340	C₄×M₁₆	C₂³	1	1	yes	characteristic
341	C₄×M₁₆	C₂³	1	1	yes	characteristic
342	C₂×#97	—	2	2	no	—
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
345	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
346	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
347	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
348	#335	C₂³	1	1	yes	characteristic
349	#335	C₂³	1	1	yes	characteristic
350	#335	C₂³	1	2	yes	—
351	#335	C₂³	1	1	yes	characteristic
352	#335	C₂³	1	1	yes	characteristic
353	#335	C₂³	1	2	yes	—
354	#335	C₂³	1	2	yes	—
355	#334	C₂³	1	2	yes	—
356	#334	C₂³	1	2	yes	—
357	#334	C₂³	1	2	yes	—
358	Q₈⋊C₈	C₂³	1	2	yes	—
359	Q₈⋊C₈	C₂³	1	2	yes	—
360	Q₈⋊C₈	C₂³	1	2	yes	—
361	Q₈⋊C₈	C₂³	1	2	yes	—
362	Q₈⋊C₈	C₂³	1	2	yes	—
363	Q₈⋊C₈	C₂³	1	2	yes	—
364	Q₈⋊C₈	C₂³	1	2	yes	—
365	Q₈⋊C₈	C₂³	1	2	yes	—
366	Q₈⋊C₈	C₂³	1	2	yes	—
367	Q₈⋊C₈	C₂³	1	2	yes	—
368	Q₈⋊C₈	C₂³	1	2	yes	—
369	Q₈⋊C₈	C₂³	1	2	yes	—
370	D₄⋊C₈	C₂³	1	2	yes	—
371	D₄⋊C₈	C₂³	1	2	yes	—
372	D₄⋊C₈	C₂³	1	2	yes	—
373	D₄⋊C₈	C₂³	1	2	yes	—
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	C₈²	C₂³	1	1	yes	characteristic
387	C₈²	C₂³	1	1	yes	characteristic
388	C₈²	C₂³	1	1	yes	characteristic
389	C₈²	C₂³	1	1	yes	characteristic
390	C₂×#41	C₂²×C₄	1	2	yes	—
391	C₂×#41	C₂²×C₄	1	1	yes	characteristic
392	C₂²×Q₈	C₂²×C₄	1	2	yes	—
393	#137	—	4	4	no	—
394	#135	—	4	2	no	—
395	C₂×Q₁₆	—	4	2	no	—
396	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
397	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
398	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
399	C₂×Q₁₆	C₂²×C₄	1	2	yes	—
400	C₂×Q₁₆	C₂²×C₄	1	2	yes	—
401	C₂×Q₁₆	C₂²×C₄	1	2	yes	—
402	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
403	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
404	C₂×SD₁₆	C₂²×C₄	1	2	yes	—
405	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
406	#131	—	4	2	no	—
407	#131	—	4	2	no	—
408	C₂×M₁₆	—	2	1	no	—
409	C₂×M₁₆	—	2	1	no	—
410	C₂×M₁₆	—	2	2	no	—
411	C₂×M₁₆	—	2	2	no	—
412	C₂×M₁₆	—	2	2	no	—
413	C₂×M₁₆	—	2	2	no	—
414	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
415	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
416	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
417	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
418	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
419	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
420	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
421	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
422	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
423	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
424	C₂²×C₈	—	2	1	no	—
425	C₂²×C₈	—	2	2	no	—
426	C₂²×C₈	—	2	2	no	—
427	C₂²×C₈	—	2	2	no	—
428	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
429	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
430	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
431	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
432	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
433	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
434	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
436	C₄⋊Q₈	—	2	2	no	—
437	C₄⋊Q₈	—	2	2	no	—
438	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
439	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
440	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
441	C₄⋊Q₈	C₂²×C₄	1	2	yes	—
442	#126	—	2	2	no	—
443	#126	—	2	2	no	—
444	#126	—	2	2	no	—
445	#126	—	2	2	no	—
446	#126	—	2	2	no	—
447	#126	—	2	2	no	—
448	#126	—	2	2	no	—
449	#126	—	2	2	no	—
450	#125	—	2	2	no	—
451	#125	—	2	2	no	—
452	#125	—	2	2	no	—
453	#125	—	2	2	no	—
454	#125	—	2	2	no	—
455	#125	—	2	2	no	—
456	#125	—	2	2	no	—
457	#125	C₂²×C₄	1	2	yes	—
458	#125	C₂²×C₄	1	2	yes	—
459	#124	—	2	2	no	—
460	#124	—	2	2	no	—
461	#124	—	2	2	no	—
462	#124	C₂²×C₄	1	2	yes	—
463	#124	C₂²×C₄	1	2	yes	—
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	#123	—	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	—	2	2	no	—
477	C₂²⋊Q₈	—	2	2	no	—
478	C₂²⋊Q₈	—	2	2	no	—
479	C₂²⋊Q₈	—	2	2	no	—
480	C₂²⋊Q₈	—	2	2	no	—
481	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
482	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
483	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
484	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
485	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
486	C₂²⋊Q₈	C₂²×C₄	1	2	yes	—
487	#121	—	2	2	no	—
488	#121	—	2	2	no	—
489	#121	—	2	2	no	—
490	#121	C₂²×C₄	1	2	yes	—
491	#121	C₂²×C₄	1	2	yes	—
492	C₄×Q₈	—	2	2	no	—
493	C₄×Q₈	—	2	2	no	—
494	C₄×Q₈	—	2	2	no	—
495	C₄×Q₈	—	2	2	no	—
496	C₄×Q₈	C₂²×C₄	1	2	yes	—
497	C₄×Q₈	C₂²×C₄	1	2	yes	—
498	C₄×Q₈	C₂²×C₄	1	2	yes	—
499	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
500	C₄×Q₈	#41	1	1	yes	characteristic
501	C₄×Q₈	C₂⁴	1	2	yes	—
502	C₄×Q₈	C₂⁴	1	2	yes	—
503	C₄×Q₈	C₂⁴	1	2	yes	—
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	C₂²×C₄	1	2	yes	—
509	C₄×D₄	C₂×D₄	1	1	yes	characteristic
510	C₄×D₄	C₂×D₄	1	1	yes	characteristic
511	C₄×D₄	C₂×D₄	1	1	yes	characteristic
512	C₄×D₄	#41	1	1	yes	characteristic
513	C₄×D₄	#41	1	1	yes	characteristic
514	C₄×D₄	#41	1	1	yes	characteristic
515	C₄×D₄	C₂⁴	1	2	yes	—
516	#117	—	2	2	no	—
517	#117	—	2	2	no	—
518	#117	—	2	2	no	—
519	#117	—	2	2	no	—
520	#117	—	2	2	no	—
521	#117	C₂²×C₄	1	2	yes	—
522	#117	C₂²×C₄	1	1	yes	characteristic
523	#117	C₂²×C₄	1	1	yes	characteristic
524	#117	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄⋊C₄	—	2	2	no	—
526	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
527	C₂×C₄²	—	2	2	no	—
528	C₂×C₄²	—	2	2	no	—
529	C₂×C₄²	C₂⁴	1	1	yes	characteristic
530	C₂×C₄²	C₂⁴	1	1	yes	characteristic
531	C₂×C₄²	C₂⁴	1	1	yes	characteristic
532	#107	C₂²×C₄	1	1	yes	characteristic
533	#107	C₂²×C₄	1	1	yes	characteristic
534	#107	C₂²×C₄	1	2	yes	—
535	#107	C₂²×C₄	1	1	yes	characteristic
536	#107	C₂²×C₄	1	1	yes	characteristic
537	#107	C₂²×C₄	1	2	yes	—
538	#107	C₂²×C₄	1	2	yes	—
539	#106	C₂²×C₄	1	2	yes	—
540	#106	C₂²×C₄	1	2	yes	—
541	#106	C₂²×C₄	1	2	yes	—
542	C₄⋊C₈	—	2	2	no	—
543	C₄⋊C₈	—	2	2	no	—
544	C₄⋊C₈	—	2	2	no	—
545	C₄⋊C₈	—	2	2	no	—
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	2	no	—
554	C₄⋊C₈	—	2	2	no	—
555	C₄⋊C₈	—	2	2	no	—
556	C₄⋊C₈	—	2	2	no	—
557	C₄⋊C₈	—	2	1	no	—
558	C₄⋊C₈	—	2	1	no	—
559	C₄⋊C₈	—	2	1	no	—
560	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
561	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
562	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
563	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
564	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
565	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
566	C₄⋊C₈	C₂⁴	1	2	yes	—
567	C₄⋊C₈	C₂⁴	1	2	yes	—
568	C₄⋊C₈	C₂⁴	1	2	yes	—
569	C₄⋊C₈	C₂⁴	1	2	yes	—
570	#103	C₂²×C₄	1	2	yes	—
571	#103	C₂²×C₄	1	2	yes	—
572	#103	C₂²×C₄	1	2	yes	—
573	#103	C₂²×C₄	1	2	yes	—
574	#103	C₂²×C₄	1	2	yes	—
575	#103	C₂²×C₄	1	2	yes	—
576	#103	C₂²×C₄	1	2	yes	—
577	#103	C₂²×C₄	1	2	yes	—
578	#103	C₂²×C₄	1	2	yes	—
579	#103	C₂²×C₄	1	2	yes	—
580	#103	C₂²×C₄	1	2	yes	—
581	#103	C₂²×C₄	1	2	yes	—
582	#102	C₂²×C₄	1	2	yes	—
583	#102	C₂²×C₄	1	2	yes	—
584	#102	C₂²×C₄	1	2	yes	—
585	#102	C₂²×C₄	1	2	yes	—
586	C₂²⋊C₈	—	2	2	no	—
587	C₂²⋊C₈	—	2	2	no	—
588	C₂²⋊C₈	—	2	2	no	—
589	C₂²⋊C₈	—	2	1	no	—
590	C₂²⋊C₈	—	2	1	no	—
591	C₂²⋊C₈	—	2	1	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	C₂×D₄	1	1	yes	characteristic
597	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
598	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
599	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
601	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
602	#97	—	2	2	no	—
603	#97	—	2	2	no	—
604	#97	—	2	2	no	—
605	#97	—	2	2	no	—
606	#97	—	2	2	no	—
607	#97	—	2	2	no	—
608	#97	—	2	2	no	—
609	#97	—	2	2	no	—
610	#97	—	2	1	no	—
611	#97	—	2	1	no	—
612	#97	C₂²×C₄	1	1	yes	characteristic
613	#97	C₂²×C₄	1	1	yes	characteristic
614	#97	C₂²×C₄	1	1	yes	characteristic
615	#97	C₂²×C₄	1	1	yes	characteristic
616	#97	C₂²×C₄	1	1	yes	characteristic
617	#97	C₂²×C₄	1	1	yes	characteristic
618	#97	C₂×D₄	1	1	yes	characteristic
619	#97	C₂×D₄	1	1	yes	characteristic
620	#97	C₂×D₄	1	1	yes	characteristic
621	#97	C₂×D₄	1	1	yes	characteristic
622	C₄×C₈	—	2	2	no	—
623	C₄×C₈	—	2	2	no	—
624	C₄×C₈	—	2	2	no	—
625	C₄×C₈	—	2	2	no	—
626	C₄×C₈	—	2	2	no	—
627	C₄×C₈	—	2	2	no	—
628	C₄×C₈	—	2	2	no	—
629	C₄×C₈	—	2	1	no	—
630	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
631	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
632	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
633	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
634	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
635	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
636	C₄×C₈	C₂×D₄	1	1	yes	characteristic
637	C₄×C₈	C₂×D₄	1	1	yes	characteristic
638	C₄×C₈	C₂⁴	1	1	yes	characteristic
639	C₄×C₈	C₂⁴	1	1	yes	characteristic
640	C₄×C₈	C₂⁴	1	1	yes	characteristic
641	C₄×C₈	C₂⁴	1	1	yes	characteristic
642	C₄×C₈	C₂⁴	1	1	yes	characteristic
643	C₄×C₈	C₂⁴	1	1	yes	characteristic
644	C₄×C₈	C₂⁴	1	1	yes	characteristic
645	C₄×C₈	C₂⁴	1	1	yes	characteristic
646	C₄×C₈	C₂⁴	1	1	yes	characteristic
647	C₄×C₈	C₂⁴	1	1	yes	characteristic
648	C₄×C₈	C₂⁴	1	1	yes	characteristic
649	C₄×C₈	C₂⁴	1	1	yes	characteristic
650	#41	—	4	1	no	—
651	#41	—	4	1	no	—
652	#41	—	4	2	no	—
653	#41	—	4	2	no	—
654	C₂×Q₈	—	2	2	no	—
655	C₂×Q₈	—	2	2	no	—
656	C₂×Q₈	—	2	2	no	—
657	C₂×Q₈	—	4	2	no	—
658	C₂×Q₈	—	4	2	no	—
659	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
660	C₂×Q₈	C₂³×C₄	1	2	yes	—
661	C₂×Q₈	C₂³×C₄	1	2	yes	—
662	C₂×Q₈	C₂³×C₄	1	2	yes	—
663	C₂×D₄	—	2	2	no	—
664	C₂×D₄	—	2	2	no	—
665	C₂×D₄	—	2	2	no	—
666	C₂×D₄	C₄×D₄	1	1	yes	characteristic
667	C₂×D₄	C₄×D₄	1	1	yes	characteristic
668	C₂×D₄	C₄×D₄	1	1	yes	characteristic
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	C₂³×C₄	1	1	yes	characteristic
676	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
677	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
678	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
679	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
680	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
681	C₂²×C₄	C₂×#41	1	1	yes	characteristic
682	C₂²×C₄	C₂×#41	1	1	yes	characteristic
683	C₂²×C₄	C₂×#41	1	1	yes	characteristic
684	Q₁₆	—	2	2	no	—
685	Q₁₆	—	2	2	no	—
686	Q₁₆	—	2	2	no	—
687	Q₁₆	—	2	4	no	—
688	Q₁₆	—	4	2	no	—
689	Q₁₆	—	4	2	no	—
690	SD₁₆	—	2	4	no	—
691	SD₁₆	—	4	2	no	—
692	SD₁₆	—	4	2	no	—
693	D₈	—	2	2	no	—
694	M₁₆	—	2	2	no	—
695	M₁₆	—	2	2	no	—
696	M₁₆	—	2	2	no	—
697	M₁₆	—	2	2	no	—
698	M₁₆	—	4	1	no	—
699	M₁₆	—	4	1	no	—
700	M₁₆	—	4	1	no	—
701	M₁₆	—	4	1	no	—
702	M₁₆	—	4	1	no	—
703	M₁₆	—	4	1	no	—
704	M₁₆	—	4	2	no	—
705	M₁₆	—	4	2	no	—
706	M₁₆	—	8	2	no	—
707	M₁₆	—	8	2	no	—
708	M₁₆	—	8	2	no	—
709	M₁₆	—	8	2	no	—
710	C₂×C₈	—	2	1	no	—
711	C₂×C₈	—	2	2	no	—
712	C₂×C₈	—	2	2	no	—
713	C₂×C₈	—	2	2	no	—
714	C₂×C₈	—	2	2	no	—
715	C₂×C₈	—	2	2	no	—
716	C₂×C₈	—	2	2	no	—
717	C₂×C₈	—	2	2	no	—
718	C₂×C₈	—	2	2	no	—
719	C₂×C₈	—	2	2	no	—
720	C₂×C₈	—	2	1	no	—
721	C₂×C₈	—	2	1	no	—
722	C₂×C₈	—	2	1	no	—
723	C₂×C₈	—	4	1	no	—
724	C₂×C₈	—	4	1	no	—
725	C₂×C₈	—	4	1	no	—
726	C₂×C₈	—	4	2	no	—
727	C₂×C₈	—	4	4	no	—
728	C₂×C₈	—	8	2	no	—
729	C₂×C₈	—	8	2	no	—
730	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
733	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
734	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
737	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
738	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
746	C₄⋊C₄	—	2	2	no	—
747	C₄⋊C₄	—	2	2	no	—
748	C₄⋊C₄	—	2	2	no	—
749	C₄⋊C₄	—	2	2	no	—
750	C₄⋊C₄	—	2	2	no	—
751	C₄⋊C₄	—	2	2	no	—
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	—	2	2	no	—
764	C₄⋊C₄	—	2	2	no	—
765	C₄⋊C₄	—	2	2	no	—
766	C₄⋊C₄	—	2	2	no	—
767	C₄⋊C₄	—	2	2	no	—
768	C₄⋊C₄	—	2	2	no	—
769	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
770	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
771	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
772	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
773	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
774	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
775	C₄⋊C₄	C₂³×C₄	1	2	yes	—
776	C₄⋊C₄	C₂³×C₄	1	2	yes	—
777	C₄⋊C₄	C₂³×C₄	1	2	yes	—
778	C₄⋊C₄	C₂³×C₄	1	2	yes	—
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	—	2	2	no	—
793	C₂²⋊C₄	—	2	2	no	—
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	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
799	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
800	C₄²	—	2	2	no	—
801	C₄²	—	2	2	no	—
802	C₄²	—	2	2	no	—
803	C₄²	—	2	2	no	—
804	C₄²	—	2	2	no	—
805	C₄²	—	2	2	no	—
806	C₄²	—	2	2	no	—
807	C₄²	C₂³×C₄	1	1	yes	characteristic
808	C₄²	C₂³×C₄	1	1	yes	characteristic
809	C₄²	C₂³×C₄	1	1	yes	characteristic
810	C₄²	C₂²×D₄	1	1	yes	characteristic
811	C₄²	C₂²×D₄	1	1	yes	characteristic
812	C₄²	C₂²×D₄	1	1	yes	characteristic
813	C₄²	C₂×#41	1	1	yes	characteristic
814	C₄²	C₂×#41	1	1	yes	characteristic
815	C₄²	C₂×#41	1	1	yes	characteristic
816	C₄²	C₂⁵	1	1	yes	characteristic
817	C₂³	—	2	2	no	—
818	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
819	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
820	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
821	Q₈	—	2	2	no	—
822	Q₈	—	2	2	no	—
823	Q₈	—	2	2	no	—
824	Q₈	—	2	2	no	—
825	Q₈	—	2	2	no	—
826	Q₈	—	2	2	no	—
827	Q₈	—	4	1	no	—
828	Q₈	—	8	2	no	—
829	Q₈	—	8	2	no	—
830	Q₈	—	8	2	no	—
831	D₄	—	2	2	no	—
832	D₄	—	2	2	no	—
833	D₄	—	4	1	no	—
834	D₄	—	4	1	no	—
835	D₄	—	4	1	no	—
836	D₄	—	8	2	no	—
837	D₄	—	8	2	no	—
838	D₄	—	8	2	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	2	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	4	1	no	—
859	C₂×C₄	—	4	1	no	—
860	C₂×C₄	—	4	1	no	—
861	C₂×C₄	—	4	2	no	—
862	C₂×C₄	—	4	2	no	—
863	C₂×C₄	—	8	2	no	—
864	C₂×C₄	—	8	2	no	—
865	C₂×C₄	—	8	2	no	—
866	C₂×C₄	—	8	2	no	—
867	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
868	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
869	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
870	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
871	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
872	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
873	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
874	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
875	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
876	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
877	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
878	C₂×C₄	C₂²×#41	1	1	yes	characteristic
879	C₈	—	2	2	no	—
880	C₈	—	2	1	no	—
881	C₈	—	2	1	no	—
882	C₈	—	2	1	no	—
883	C₈	—	2	1	no	—
884	C₈	—	2	1	no	—
885	C₈	—	2	1	no	—
886	C₈	—	2	1	no	—
887	C₈	—	2	1	no	—
888	C₈	—	2	1	no	—
889	C₈	—	2	1	no	—
890	C₈	—	2	1	no	—
891	C₈	—	2	1	no	—
892	C₈	—	2	1	no	—
893	C₈	—	4	1	no	—
894	C₈	—	4	1	no	—
895	C₈	—	4	1	no	—
896	C₈	—	4	2	no	—
897	C₈	—	4	2	no	—
898	C₈	—	4	2	no	—
899	C₈	—	4	2	no	—
900	C₈	#568	1	2	yes	—
901	C₈	#568	1	2	yes	—
902	C₈	#578	1	2	yes	—
903	C₂²	—	2	1	no	—
904	C₂²	—	2	1	no	—
905	C₂²	—	2	1	no	—
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	—	4	2	no	—
913	C₂²	—	4	2	no	—
914	C₂²	—	4	2	no	—
915	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
916	C₄	—	2	1	no	—
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	4	2	no	—
927	C₄	—	4	2	no	—
928	C₄	—	4	2	no	—
929	C₄	—	4	2	no	—
930	C₄	—	4	2	no	—
931	C₄	—	4	2	no	—
932	C₄	—	4	2	no	—
933	C₄	C₂×#568	1	1	yes	characteristic
934	C₄	C₂×#568	1	1	yes	characteristic
935	C₄	C₂×#578	1	1	yes	characteristic
936	C₄	#3584	1	1	yes	characteristic
937	C₂	—	4	1	no	—
938	C₂	—	4	1	no	—
939	C₂	—	4	1	no	—
940	C₂	—	8	2	no	—
941	C₂	#60144	1	1	yes	characteristic
942	C₂	C₄×#578	1	1	yes	characteristic
943	C₂	#60183	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	#3061	C₄
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. #60344	C₂	semidirect
3. #18087	C₂	semidirect
4. #18086	C₂	semidirect
5. #18083	C₂	semidirect
6. #18077	C₂	semidirect
7. #18069	C₂	semidirect
8. #18068	C₂	semidirect
9. #18059	C₂	semidirect
10. #18058	C₂	semidirect
11. #18053	C₂	semidirect
12. #18047	C₂	semidirect
13. M₁₆×Q₁₆	C₂	semidirect
14. #18035	C₂	semidirect
15. #17988	C₂	semidirect
16. #17986	C₂	semidirect
17. #17973	C₂	semidirect
18. #17972	C₂	semidirect
19. #17959	C₂	semidirect
20. #17958	C₂	semidirect
21. #17799	C₂	semidirect
22. #17506	C₂	semidirect
23. #17335	C₂	semidirect

Maximal subgroups

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

subgroup	index
#60696	2
#60344	2
#18087	2
#18086	2
#18083	2
#18077	2
#18069	2
#18068	2
#18059	2
#18058	2
#18053	2
#18047	2
M₁₆×Q₁₆	2
#18035	2
#17988	2
#17986	2
#17973	2
#17972	2
#17959	2
#17958	2
#17799	2
#17506	2
#17335	2