Subgroups — C₂×#61445 #10576759

Order 512.

6934 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	#61445	C₂	1	32	yes	maximal, direct product factor
4	C₂×#3401	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#3388	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#3371	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3376	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3351	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3345	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#3344	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#3326	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#3323	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#3320	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#3316	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#3310	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#3275	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#3265	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#3171	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#3168	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#3108	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#3105	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#3103	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#3102	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#3102	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#3101	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2965	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#137	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#137	C₂²	1	1	yes	characteristic
34	C₂²×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂³×SD₁₆	C₂²	1	1	yes	characteristic
36	#3482	—	2	8	no	—
37	#3482	C₂²	1	16	yes	complemented
38	#3481	—	2	8	no	—
39	#3481	C₂²	1	16	yes	complemented
40	C₂×#559	C₂²	1	1	yes	characteristic
41	C₂×#557	C₂²	1	1	yes	characteristic, complemented
42	C₂×#556	—	2	1	no	—
43	C₂×#556	C₂²	1	1	yes	characteristic, complemented
44	C₂×#554	C₂²	1	1	yes	characteristic
45	C₂×#554	C₂²	1	1	yes	characteristic
46	C₂×#553	—	2	1	no	—
47	C₂×#553	C₂²	1	1	yes	characteristic
48	C₂×#553	C₂²	1	1	yes	characteristic
49	C₂×#552	—	2	1	no	—
50	C₂×#552	—	2	1	no	—
51	C₂×#552	C₂²	1	1	yes	characteristic
52	C₂×#552	C₂²	1	1	yes	characteristic, complemented
53	C₂×#551	—	2	1	no	—
54	C₂×#551	—	2	1	no	—
55	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₂×#548	C₂²	1	1	yes	characteristic
57	C₂×#548	C₂²	1	1	yes	characteristic, complemented
58	C₂×#547	—	2	1	no	—
59	C₂×#547	C₂²	1	1	yes	characteristic, complemented
60	C₂×#546	—	2	1	no	—
61	C₂×#546	C₂²	1	1	yes	characteristic
62	C₂×#546	C₂²	1	1	yes	characteristic
63	C₂×D₄²	C₂²	1	1	yes	characteristic
64	C₂×#533	—	2	1	no	—
65	C₂×#533	C₂²	1	1	yes	characteristic, complemented
66	C₂×#532	C₂²	1	1	yes	characteristic
67	C₂×#529	—	2	1	no	—
68	C₂×#529	—	2	1	no	—
69	C₂×#529	—	2	1	no	—
70	C₂×#529	C₂²	1	1	yes	characteristic
71	C₂×#529	C₂²	1	1	yes	characteristic
72	C₂×#529	C₂²	1	1	yes	characteristic, complemented
73	C₂×#529	C₂²	1	1	yes	characteristic, complemented
74	C₂×#525	—	2	1	no	—
75	C₂×#525	—	2	1	no	—
76	C₂×C₄×#41	—	2	1	no	—
77	C₂×C₄×#41	C₂²	1	1	yes	characteristic
78	C₂×C₄×#41	C₂²	1	1	yes	characteristic
79	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
80	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
81	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
82	C₂²×C₄×D₄	—	2	1	no	—
83	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
84	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
85	#3401	C₂²	1	16	yes	complemented
86	#3388	C₂²	1	16	yes	complemented
87	#3376	C₂²	1	16	yes	complemented
88	#3371	C₂²	1	16	yes	complemented
89	#3351	C₂²	1	16	yes	complemented
90	#3345	C₂²	1	16	yes	complemented
91	#3344	C₂²	1	16	yes	complemented
92	#3326	C₂²	1	16	yes	complemented
93	#3323	C₂²	1	16	yes	complemented
94	#3320	C₂²	1	16	yes	complemented
95	#3316	C₂²	1	16	yes	complemented
96	#3310	C₂²	1	16	yes	complemented
97	#3306	C₂²	1	16	yes	complemented
98	#3275	C₂²	1	16	yes	complemented
99	#3266	C₂²	1	16	yes	complemented
100	#3265	C₂²	1	16	yes	complemented
101	#3172	C₂²	1	16	yes	complemented
102	#3171	C₂²	1	16	yes	complemented
103	#3168	C₂²	1	16	yes	complemented
104	C₂×#501	C₂²	1	1	yes	characteristic, complemented
105	C₂×#501	C₂²	1	1	yes	characteristic, complemented
106	C₂×#499	C₂²	1	1	yes	characteristic, complemented
107	C₂×#497	C₂²	1	1	yes	characteristic, complemented
108	C₂×#496	C₂²	1	1	yes	characteristic
109	C₂×#495	C₂²	1	1	yes	characteristic, complemented
110	C₂×#491	C₂²	1	1	yes	characteristic, complemented
111	C₂×#490	C₂²	1	1	yes	characteristic
112	C₂×#489	C₂²	1	1	yes	characteristic, complemented
113	C₂×#489	C₂²	1	1	yes	characteristic, complemented
114	C₂×#488	C₂²	1	1	yes	characteristic, complemented
115	C₂×#488	C₂²	1	1	yes	characteristic, complemented
116	#3108	C₂²	1	16	yes	complemented
117	#3105	C₂²	1	16	yes	complemented
118	#3103	C₂²	1	16	yes	complemented
119	#3102	C₂²	1	16	yes	complemented
120	#3102	C₂²	1	16	yes	complemented
121	#3101	C₂²	1	16	yes	complemented
122	C₂×#484	C₂²	1	1	yes	characteristic, complemented
123	C₂×#481	C₂²	1	1	yes	characteristic, complemented
124	C₂×#481	C₂²	1	1	yes	characteristic, complemented
125	C₂×#481	C₂²	1	1	yes	characteristic, complemented
126	C₂×#485	C₂²	1	1	yes	characteristic, complemented
127	C₂×#485	C₂²	1	1	yes	characteristic, complemented
128	C₂×#482	C₂²	1	1	yes	characteristic
129	C₂×#482	C₂²	1	1	yes	characteristic, complemented
130	C₂×#483	C₂²	1	1	yes	characteristic, complemented
131	C₂×#483	C₂²	1	1	yes	characteristic, complemented
132	C₂×#483	C₂²	1	1	yes	characteristic, complemented
133	C₂×#480	C₂²	1	1	yes	characteristic
134	C₂×#479	C₂²	1	1	yes	characteristic, complemented
135	C₂×#479	C₂²	1	1	yes	characteristic, complemented
136	C₂×#479	C₂²	1	1	yes	characteristic, complemented
137	C₂×#479	C₂²	1	1	yes	characteristic, complemented
138	C₂×#475	C₂²	1	1	yes	characteristic, complemented
139	C₂×#475	C₂²	1	1	yes	characteristic, complemented
140	C₂×#478	C₂²	1	1	yes	characteristic
141	C₂×#478	C₂²	1	1	yes	characteristic
142	C₂×#478	C₂²	1	1	yes	characteristic, complemented
143	C₂×#478	C₂²	1	1	yes	characteristic, complemented
144	C₂×#476	C₂²	1	1	yes	characteristic
145	C₂×#476	C₂²	1	1	yes	characteristic, complemented
146	C₂×#470	C₂²	1	1	yes	characteristic, complemented
147	C₂×#470	C₂²	1	1	yes	characteristic, complemented
148	C₂×#469	C₂²	1	1	yes	characteristic, complemented
149	C₂×#469	C₂²	1	1	yes	characteristic, complemented
150	C₂×#468	C₂²	1	1	yes	characteristic
151	C₂×#468	C₂²	1	1	yes	characteristic
152	C₂×#468	C₂²	1	1	yes	characteristic, complemented
153	C₂×#468	C₂²	1	1	yes	characteristic, complemented
154	C₂×#467	C₂²	1	1	yes	characteristic, complemented
155	C₂×#466	C₂²	1	1	yes	characteristic
156	C₂×#465	C₂²	1	1	yes	characteristic
157	C₂×#465	C₂²	1	1	yes	characteristic, complemented
158	C₂×#464	C₂²	1	1	yes	characteristic, complemented
159	C₂×#464	C₂²	1	1	yes	characteristic, complemented
160	C₂×#464	C₂²	1	1	yes	characteristic, complemented
161	C₂×#464	C₂²	1	1	yes	characteristic, complemented
162	C₂×#460	C₂²	1	1	yes	characteristic
163	C₂×#460	C₂²	1	1	yes	characteristic
164	C₂×#463	C₂²	1	1	yes	characteristic
165	C₂×#463	C₂²	1	1	yes	characteristic
166	C₂×#463	C₂²	1	1	yes	characteristic, complemented
167	C₂×#463	C₂²	1	1	yes	characteristic, complemented
168	C₂×#461	C₂²	1	1	yes	characteristic
169	C₂×#461	C₂²	1	1	yes	characteristic, complemented
170	C₂×#452	C₂²	1	1	yes	characteristic
171	C₂×#452	C₂²	1	1	yes	characteristic, complemented
172	C₂×#449	C₂²	1	1	yes	characteristic
173	C₂×#449	C₂²	1	1	yes	characteristic
174	C₂×#451	C₂²	1	1	yes	characteristic, complemented
175	C₂×#448	C₂²	1	1	yes	characteristic
176	C₂×#448	C₂²	1	1	yes	characteristic, complemented
177	C₂×#448	C₂²	1	1	yes	characteristic, complemented
178	C₂×#450	C₂²	1	1	yes	characteristic
179	C₂×#450	C₂²	1	1	yes	characteristic
180	C₂×#450	C₂²	1	1	yes	characteristic
181	C₂×#447	C₂²	1	1	yes	characteristic
182	#2965	C₂²	1	16	yes	complemented
183	C₂×#446	C₂²	1	1	yes	characteristic, complemented
184	C₂×#446	C₂²	1	1	yes	characteristic, complemented
185	C₄×#137	C₂²	1	16	yes	complemented
186	C₄×AGL(1,ℤ/8)	C₂²	1	16	yes	complemented
187	C₂×#442	C₂²	1	1	yes	characteristic
188	C₂×#442	C₂²	1	1	yes	characteristic, complemented
189	C₂×#441	C₂²	1	1	yes	characteristic, complemented
190	C₂×#441	C₂²	1	1	yes	characteristic, complemented
191	C₂×#440	C₂²	1	1	yes	characteristic
192	C₂×#440	C₂²	1	1	yes	characteristic
193	C₂×#440	C₂²	1	1	yes	characteristic
194	C₂×#440	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
199	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
200	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
201	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
202	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
203	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
204	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
206	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
207	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
208	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
209	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×SD₁₆	C₂²	1	16	yes	complemented
213	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
214	C₂×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
216	C₂×#436	C₂²	1	1	yes	characteristic, complemented
217	C₂×#436	C₂²	1	1	yes	characteristic, complemented
218	C₂×#435	C₂²	1	1	yes	characteristic
219	C₂×#435	C₂²	1	1	yes	characteristic
220	C₂×#435	C₂²	1	1	yes	characteristic, complemented
221	C₂×#435	C₂²	1	1	yes	characteristic, complemented
222	C₂×#431	C₂²	1	1	yes	characteristic, complemented
223	C₂×#431	C₂²	1	1	yes	characteristic, complemented
224	C₂×#431	C₂²	1	1	yes	characteristic, complemented
225	C₂×#428	C₂²	1	1	yes	characteristic, complemented
226	C₂×#428	C₂²	1	1	yes	characteristic, complemented
227	C₂²×#106	C₂²	1	1	yes	characteristic, complemented
228	C₂×#417	C₂²	1	1	yes	characteristic
229	C₂×#417	C₂²	1	1	yes	characteristic, complemented
230	C₂×#419	C₂²	1	1	yes	characteristic, complemented
231	C₂×#418	C₂²	1	1	yes	characteristic
232	C₂²×#103	C₂²	1	1	yes	characteristic, complemented
233	C₂²×#102	C₂²	1	1	yes	characteristic
234	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
235	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
236	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
237	C₂²×#41	—	2	1	no	—
238	C₂²×#41	—	2	1	no	—
239	C₂²×#41	D₄	1	1	yes	characteristic
240	C₂²×#41	C₂³	1	1	yes	characteristic
241	C₂²×#41	C₂³	1	1	yes	characteristic
242	C₂³×Q₈	C₂³	1	1	yes	characteristic
243	C₂³×Q₈	C₂³	1	1	yes	characteristic
244	C₂³×D₄	—	2	1	no	—
245	C₂³×D₄	C₂³	1	1	yes	characteristic
246	C₂³×D₄	C₂³	1	1	yes	characteristic
247	C₂⁴×C₄	—	2	1	no	—
248	C₂⁴×C₄	—	2	1	no	—
249	C₂×#137	—	2	8	no	—
250	C₂×#137	C₂³	1	8	yes	—
251	C₂×AGL(1,ℤ/8)	—	2	8	no	—
252	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	—
253	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
254	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
255	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
256	C₂²×SD₁₆	—	2	8	no	—
257	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
261	C₂²×SD₁₆	C₂³	1	8	yes	—
262	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
263	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
264	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
265	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
266	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
267	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
268	C₂²×D₈	C₂³	1	1	yes	characteristic
269	C₂²×D₈	C₂³	1	1	yes	characteristic
270	C₂²×D₈	C₂³	1	1	yes	characteristic
271	C₂²×M₁₆	C₂³	1	1	yes	characteristic
272	C₂²×M₁₆	C₂³	1	1	yes	characteristic
273	C₂²×M₁₆	C₂³	1	1	yes	characteristic
274	C₂²×M₁₆	C₂³	1	1	yes	characteristic
275	C₂³×C₈	C₂³	1	1	yes	characteristic
276	C₂³×C₈	C₂³	1	1	yes	characteristic
277	#559	—	2	4	no	—
278	#559	C₂³	1	8	yes	—
279	#557	—	2	4	no	—
280	#557	C₂³	1	8	yes	complemented
281	#556	—	2	4	no	—
282	#556	—	2	16	no	—
283	#556	C₂³	1	8	yes	complemented
284	#554	—	2	4	no	—
285	#554	—	2	4	no	—
286	#554	C₂³	1	8	yes	—
287	#554	C₂³	1	8	yes	—
288	#553	—	2	4	no	—
289	#553	—	2	4	no	—
290	#553	—	2	16	no	—
291	#553	C₂³	1	8	yes	—
292	#553	C₂³	1	8	yes	—
293	#552	—	2	4	no	—
294	#552	—	2	4	no	—
295	#552	—	2	16	no	—
296	#552	—	2	16	no	—
297	#552	C₂³	1	8	yes	—
298	#552	C₂³	1	8	yes	complemented
299	#551	—	2	16	no	—
300	#551	—	2	16	no	—
301	D₄×Q₈	—	2	4	no	—
302	D₄×Q₈	C₂³	1	8	yes	complemented
303	#548	—	2	4	no	—
304	#548	—	2	4	no	—
305	#548	C₂³	1	8	yes	—
306	#548	C₂³	1	8	yes	complemented
307	#547	—	2	16	no	—
308	#547	—	2	4	no	—
309	#547	C₂³	1	8	yes	complemented
310	#546	—	2	16	no	—
311	#546	—	2	4	no	—
312	#546	—	2	4	no	—
313	#546	C₂³	1	8	yes	—
314	#546	C₂³	1	8	yes	—
315	D₄²	—	2	4	no	—
316	D₄²	C₂³	1	8	yes	—
317	#533	—	2	16	no	—
318	#533	—	2	4	no	—
319	#533	C₂³	1	8	yes	complemented
320	#532	—	2	4	no	—
321	#532	C₂³	1	8	yes	—
322	C₂×C₄⋊Q₈	—	2	1	no	—
323	C₂×C₄⋊Q₈	—	2	1	no	—
324	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
327	C₂×#127	C₂³	1	1	yes	characteristic
328	#529	—	2	16	no	—
329	#529	—	2	16	no	—
330	#529	—	2	16	no	—
331	#529	—	2	4	no	—
332	#529	—	2	4	no	—
333	#529	—	2	4	no	—
334	#529	—	2	4	no	—
335	#529	C₂³	1	8	yes	—
336	#529	C₂³	1	8	yes	—
337	#529	C₂³	1	8	yes	complemented
338	#529	C₂³	1	8	yes	complemented
339	C₂×#126	—	2	1	no	—
340	C₂×#126	—	2	1	no	—
341	C₂×#126	—	2	1	no	—
342	C₂×#126	—	2	1	no	—
343	C₂×#126	—	2	1	no	—
344	C₂×#126	—	2	1	no	—
345	C₂×#126	—	2	1	no	—
346	C₂×#126	—	2	1	no	—
347	C₂×#126	—	2	1	no	—
348	C₂×#126	—	2	1	no	—
349	C₂×#125	—	2	1	no	—
350	C₂×#125	—	2	1	no	—
351	C₂×#125	—	2	1	no	—
352	C₂×#125	—	2	1	no	—
353	C₂×#125	—	2	1	no	—
354	C₂×#125	—	2	1	no	—
355	C₂×#125	C₂³	1	1	yes	characteristic
356	C₂×#125	C₂³	1	1	yes	characteristic
357	C₂×#125	C₂³	1	1	yes	characteristic
358	C₂×#125	C₂³	1	1	yes	characteristic
359	C₂×#124	—	2	1	no	—
360	C₂×#124	—	2	1	no	—
361	C₂×#124	—	2	1	no	—
362	C₂×#124	—	2	1	no	—
363	C₂×#124	C₂³	1	1	yes	characteristic
364	C₂×#124	C₂³	1	1	yes	characteristic
365	C₂×#124	C₂³	1	1	yes	characteristic
366	C₂×#124	C₂³	1	1	yes	characteristic
367	#525	—	2	16	no	—
368	#525	—	2	16	no	—
369	C₂×#123	—	2	1	no	—
370	C₂×#123	—	2	1	no	—
371	C₂×#123	—	2	1	no	—
372	C₂×#123	—	2	1	no	—
373	C₂×#123	—	2	1	no	—
374	C₂×#123	—	2	1	no	—
375	C₂×#123	—	2	1	no	—
376	C₂×#123	—	2	1	no	—
377	C₂×#123	—	2	1	no	—
378	C₂×#123	—	2	1	no	—
379	C₂×#123	—	2	1	no	—
380	C₂×#123	—	2	1	no	—
381	C₂×#123	—	2	1	no	—
382	C₂×#123	—	2	1	no	—
383	C₂×C₂²⋊Q₈	—	2	1	no	—
384	C₂×C₂²⋊Q₈	—	2	1	no	—
385	C₂×C₂²⋊Q₈	—	2	1	no	—
386	C₂×C₂²⋊Q₈	—	2	1	no	—
387	C₂×C₂²⋊Q₈	—	2	1	no	—
388	C₂×C₂²⋊Q₈	—	2	1	no	—
389	C₂×C₂²⋊Q₈	—	2	1	no	—
390	C₂×C₂²⋊Q₈	—	2	1	no	—
391	C₂×C₂²⋊Q₈	—	2	1	no	—
392	C₂×C₂²⋊Q₈	—	2	1	no	—
393	C₂×C₂²⋊Q₈	—	2	1	no	—
394	C₂×C₂²⋊Q₈	—	2	1	no	—
395	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
396	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
397	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
398	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
399	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
400	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
401	C₂×#121	—	2	1	no	—
402	C₂×#121	—	2	1	no	—
403	C₂×#121	—	2	1	no	—
404	C₂×#121	—	2	1	no	—
405	C₂×#121	—	2	1	no	—
406	C₂×#121	—	2	1	no	—
407	C₂×#121	—	2	1	no	—
408	C₂×#121	—	2	1	no	—
409	C₂×#121	C₂³	1	1	yes	characteristic
410	C₂×#121	C₂³	1	1	yes	characteristic
411	C₂×#121	C₂³	1	1	yes	characteristic
412	C₂×#121	C₂³	1	1	yes	characteristic
413	C₂×#121	C₂³	1	1	yes	characteristic
414	C₂×#121	C₂³	1	1	yes	characteristic
415	C₂×#120	—	2	1	no	—
416	C₂×#120	—	2	1	no	—
417	C₂×#120	—	2	1	no	—
418	C₂×#120	—	2	1	no	—
419	C₄×#41	—	2	16	no	—
420	C₄×#41	—	2	4	no	—
421	C₄×#41	—	2	4	no	—
422	C₄×#41	D₄	1	8	yes	—
423	C₄×#41	C₂³	1	8	yes	—
424	C₄×#41	C₂³	1	8	yes	—
425	C₄×#41	C₂³	1	8	yes	complemented
426	C₂×C₄×Q₈	—	2	1	no	—
427	C₂×C₄×Q₈	—	2	1	no	—
428	C₂×C₄×Q₈	—	2	1	no	—
429	C₂×C₄×Q₈	—	2	1	no	—
430	C₂×C₄×Q₈	—	2	1	no	—
431	C₂×C₄×Q₈	—	2	4	no	—
432	C₂×C₄×Q₈	—	2	4	no	—
433	C₂×C₄×Q₈	—	2	1	no	—
434	C₂×C₄×Q₈	D₄	1	1	yes	characteristic
435	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
436	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
437	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
438	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
439	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
440	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
441	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
442	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
443	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
444	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
445	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
446	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
447	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
448	C₂×C₄×D₄	—	2	1	no	—
449	C₂×C₄×D₄	—	2	1	no	—
450	C₂×C₄×D₄	—	2	1	no	—
451	C₂×C₄×D₄	—	2	1	no	—
452	C₂×C₄×D₄	—	2	1	no	—
453	C₂×C₄×D₄	—	2	1	no	—
454	C₂×C₄×D₄	—	2	1	no	—
455	C₂×C₄×D₄	—	2	1	no	—
456	C₂×C₄×D₄	—	2	1	no	—
457	C₂×C₄×D₄	—	2	1	no	—
458	C₂×C₄×D₄	—	2	16	no	—
459	C₂×C₄×D₄	—	2	1	no	—
460	C₂×C₄×D₄	—	2	1	no	—
461	C₂×C₄×D₄	—	2	1	no	—
462	C₂×C₄×D₄	—	2	1	no	—
463	C₂×C₄×D₄	—	2	1	no	—
464	C₂×C₄×D₄	—	2	1	no	—
465	C₂×C₄×D₄	—	2	1	no	—
466	C₂×C₄×D₄	—	2	1	no	—
467	C₂×C₄×D₄	—	2	1	no	—
468	C₂×C₄×D₄	—	2	1	no	—
469	C₂×C₄×D₄	—	2	4	no	—
470	C₂×C₄×D₄	—	2	4	no	—
471	C₂×C₄×D₄	D₄	1	1	yes	characteristic
472	C₂×C₄×D₄	D₄	1	1	yes	characteristic
473	C₂×C₄×D₄	D₄	1	1	yes	characteristic
474	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
475	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
476	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
477	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
478	C₂×C₄×D₄	C₂³	1	8	yes	—
479	C₂×C₄×D₄	C₂³	1	8	yes	—
480	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
481	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
482	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
483	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
484	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
485	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
486	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
487	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
488	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
489	C₂×#117	—	2	1	no	—
490	C₂×#117	—	2	1	no	—
491	C₂×#117	—	2	1	no	—
492	C₂×#117	—	2	1	no	—
493	C₂×#117	—	2	1	no	—
494	C₂×#117	—	2	1	no	—
495	C₂×#117	—	2	1	no	—
496	C₂×#117	—	2	1	no	—
497	C₂×#117	—	2	1	no	—
498	C₂×#117	—	2	1	no	—
499	C₂×#117	D₄	1	1	yes	characteristic
500	C₂×#117	D₄	1	1	yes	characteristic
501	C₂×#117	D₄	1	1	yes	characteristic
502	C₂×#117	C₂³	1	1	yes	characteristic
503	C₂×#117	C₂³	1	1	yes	characteristic
504	C₂²×C₄⋊C₄	—	2	1	no	—
505	C₂²×C₄⋊C₄	—	2	1	no	—
506	C₂²×C₄⋊C₄	—	2	1	no	—
507	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
508	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
509	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
510	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
511	C₂²×C₂²⋊C₄	—	2	1	no	—
512	C₂²×C₂²⋊C₄	—	2	1	no	—
513	C₂²×C₂²⋊C₄	—	2	1	no	—
514	C₂²×C₂²⋊C₄	—	2	1	no	—
515	C₂²×C₄²	—	2	1	no	—
516	C₂²×C₄²	—	2	1	no	—
517	C₂²×C₄²	—	2	1	no	—
518	C₂²×C₄²	—	2	1	no	—
519	C₂²×C₄²	C₂³	1	1	yes	characteristic
520	C₂²×C₄²	C₂³	1	1	yes	characteristic
521	C₂²×C₄²	C₂³	1	1	yes	characteristic
522	#501	C₂³	1	8	yes	complemented
523	#501	C₂³	1	8	yes	complemented
524	#499	C₂³	1	8	yes	complemented
525	#497	C₂³	1	8	yes	complemented
526	#496	C₂³	1	8	yes	—
527	#495	C₂³	1	8	yes	complemented
528	#491	C₂³	1	8	yes	complemented
529	#490	C₂³	1	8	yes	—
530	#489	C₂³	1	8	yes	complemented
531	#489	C₂³	1	8	yes	complemented
532	#488	C₂³	1	8	yes	complemented
533	#488	C₂³	1	8	yes	complemented
534	#485	C₂³	1	8	yes	complemented
535	#485	C₂³	1	8	yes	complemented
536	#484	C₂³	1	8	yes	complemented
537	#483	C₂³	1	8	yes	complemented
538	#483	C₂³	1	8	yes	complemented
539	#483	C₂³	1	8	yes	complemented
540	#482	C₂³	1	8	yes	—
541	#482	C₂³	1	8	yes	complemented
542	#481	C₂³	1	8	yes	complemented
543	#481	C₂³	1	8	yes	complemented
544	#481	C₂³	1	8	yes	complemented
545	#480	C₂³	1	8	yes	—
546	#479	C₂³	1	8	yes	complemented
547	#479	C₂³	1	8	yes	complemented
548	#479	C₂³	1	8	yes	complemented
549	#479	C₂³	1	8	yes	complemented
550	#478	C₂³	1	8	yes	—
551	#478	C₂³	1	8	yes	—
552	#478	C₂³	1	8	yes	complemented
553	#478	C₂³	1	8	yes	complemented
554	#476	C₂³	1	8	yes	—
555	#476	C₂³	1	8	yes	complemented
556	#475	C₂³	1	8	yes	complemented
557	#475	C₂³	1	8	yes	complemented
558	#470	C₂³	1	8	yes	complemented
559	#470	C₂³	1	8	yes	complemented
560	#469	C₂³	1	8	yes	complemented
561	#469	C₂³	1	8	yes	complemented
562	#468	C₂³	1	8	yes	—
563	#468	C₂³	1	8	yes	—
564	#468	C₂³	1	8	yes	complemented
565	#468	C₂³	1	8	yes	complemented
566	#467	C₂³	1	8	yes	complemented
567	#466	C₂³	1	8	yes	—
568	#465	C₂³	1	8	yes	—
569	#465	C₂³	1	8	yes	complemented
570	#464	C₂³	1	8	yes	complemented
571	#464	C₂³	1	8	yes	complemented
572	#464	C₂³	1	8	yes	complemented
573	#464	C₂³	1	8	yes	complemented
574	#463	C₂³	1	8	yes	—
575	#463	C₂³	1	8	yes	—
576	#463	C₂³	1	8	yes	complemented
577	#463	C₂³	1	8	yes	complemented
578	#461	C₂³	1	8	yes	—
579	#461	C₂³	1	8	yes	complemented
580	#460	C₂³	1	8	yes	—
581	#460	C₂³	1	8	yes	—
582	#452	C₂³	1	8	yes	—
583	#452	C₂³	1	8	yes	complemented
584	#451	C₂³	1	8	yes	complemented
585	#450	C₂³	1	8	yes	—
586	#450	C₂³	1	8	yes	—
587	#450	C₂³	1	8	yes	—
588	#449	C₂³	1	8	yes	—
589	#449	C₂³	1	8	yes	—
590	#448	C₂³	1	8	yes	—
591	#448	C₂³	1	8	yes	complemented
592	#448	C₂³	1	8	yes	complemented
593	#447	C₂³	1	8	yes	—
594	#446	C₂³	1	8	yes	complemented
595	#446	C₂³	1	8	yes	complemented
596	#442	C₂³	1	8	yes	—
597	#442	C₂³	1	8	yes	complemented
598	#441	C₂³	1	8	yes	complemented
599	#441	C₂³	1	8	yes	complemented
600	#440	C₂³	1	8	yes	—
601	#440	C₂³	1	8	yes	—
602	#440	C₂³	1	8	yes	—
603	#440	C₂³	1	8	yes	complemented
604	C₄×Q₁₆	C₂³	1	8	yes	complemented
605	C₄×Q₁₆	C₂³	1	8	yes	complemented
606	C₄×Q₁₆	C₂³	1	8	yes	complemented
607	C₄×SD₁₆	C₂³	1	8	yes	—
608	C₄×SD₁₆	C₂³	1	8	yes	—
609	C₄×SD₁₆	C₂³	1	8	yes	—
610	C₄×SD₁₆	C₂³	1	8	yes	—
611	C₄×SD₁₆	C₂³	1	8	yes	—
612	C₄×SD₁₆	C₂³	1	8	yes	complemented
613	C₄×SD₁₆	C₂³	1	8	yes	complemented
614	C₄×SD₁₆	C₂³	1	8	yes	complemented
615	C₄×SD₁₆	C₂³	1	8	yes	complemented
616	C₄×SD₁₆	C₂³	1	8	yes	complemented
617	C₄×SD₁₆	C₂³	1	8	yes	complemented
618	C₄×SD₁₆	C₂³	1	8	yes	complemented
619	C₄×SD₁₆	C₂³	1	8	yes	complemented
620	C₄×SD₁₆	C₂³	1	8	yes	complemented
621	C₄×D₈	C₂³	1	8	yes	—
622	C₄×D₈	C₂³	1	8	yes	complemented
623	C₄×D₈	C₂³	1	8	yes	complemented
624	#436	C₂³	1	8	yes	complemented
625	#436	C₂³	1	8	yes	complemented
626	#435	C₂³	1	8	yes	—
627	#435	C₂³	1	8	yes	—
628	#435	C₂³	1	8	yes	complemented
629	#435	C₂³	1	8	yes	complemented
630	#431	C₂³	1	8	yes	complemented
631	#431	C₂³	1	8	yes	complemented
632	#431	C₂³	1	8	yes	complemented
633	#428	C₂³	1	8	yes	complemented
634	#428	C₂³	1	8	yes	complemented
635	C₂×#107	C₂³	1	1	yes	characteristic
636	C₂×#107	C₂³	1	1	yes	characteristic
637	C₂×#107	C₂³	1	1	yes	characteristic
638	C₂×#107	C₂³	1	1	yes	characteristic
639	C₂×#107	C₂³	1	1	yes	characteristic
640	C₂×#107	C₂³	1	1	yes	characteristic
641	C₂×#106	C₂³	1	1	yes	characteristic
642	C₂×#106	C₂³	1	1	yes	characteristic
643	C₂×#106	C₂³	1	1	yes	characteristic
644	C₂×#106	C₂³	1	1	yes	characteristic
645	C₂×#106	C₂³	1	1	yes	characteristic
646	C₂×#106	C₂³	1	1	yes	characteristic
647	C₂×#106	C₂³	1	1	yes	characteristic
648	C₂×#106	C₂³	1	1	yes	characteristic
649	C₂×#106	C₂³	1	1	yes	characteristic
650	C₂×#106	C₂³	1	1	yes	characteristic
651	C₂×#106	C₂³	1	8	yes	complemented
652	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
653	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
654	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
655	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
656	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
657	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
658	#419	C₂³	1	8	yes	complemented
659	#418	C₂³	1	8	yes	—
660	#417	C₂³	1	8	yes	—
661	#417	C₂³	1	8	yes	complemented
662	C₂×#103	C₂³	1	1	yes	characteristic
663	C₂×#103	C₂³	1	1	yes	characteristic
664	C₂×#103	C₂³	1	1	yes	characteristic
665	C₂×#103	C₂³	1	1	yes	characteristic
666	C₂×#103	C₂³	1	1	yes	characteristic
667	C₂×#103	C₂³	1	1	yes	characteristic
668	C₂×#103	C₂³	1	1	yes	characteristic
669	C₂×#103	C₂³	1	1	yes	characteristic
670	C₂×#103	C₂³	1	1	yes	characteristic
671	C₂×#103	C₂³	1	1	yes	characteristic
672	C₂×#103	C₂³	1	1	yes	characteristic
673	C₂×#103	C₂³	1	1	yes	characteristic
674	C₂×#103	C₂³	1	1	yes	characteristic
675	C₂×#103	C₂³	1	1	yes	characteristic
676	C₂×#103	C₂³	1	1	yes	characteristic
677	C₂×#103	C₂³	1	1	yes	characteristic
678	C₂×#103	C₂³	1	8	yes	complemented
679	C₂×#102	C₂³	1	1	yes	characteristic
680	C₂×#102	C₂³	1	1	yes	characteristic
681	C₂×#102	C₂³	1	1	yes	characteristic
682	C₂×#102	C₂³	1	1	yes	characteristic
683	C₂×#102	C₂³	1	1	yes	characteristic
684	C₂×#102	C₂³	1	1	yes	characteristic
685	C₂×#102	C₂³	1	1	yes	characteristic
686	C₂×#102	C₂³	1	1	yes	characteristic
687	C₂×#102	C₂³	1	1	yes	characteristic
688	C₂×#102	C₂³	1	1	yes	characteristic
689	C₂×#102	C₂³	1	1	yes	characteristic
690	C₂×#102	C₂³	1	1	yes	characteristic
691	C₂×#102	C₂³	1	1	yes	characteristic
692	C₂×#102	C₂³	1	1	yes	characteristic
693	C₂×#102	C₂³	1	1	yes	characteristic
694	C₂×#102	C₂³	1	1	yes	characteristic
695	C₂×#102	C₂³	1	8	yes	—
696	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
697	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
698	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
699	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
700	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
701	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
702	C₄×M₁₆	C₂³	1	8	yes	complemented
703	C₄×M₁₆	C₂³	1	8	yes	complemented
704	C₂×#97	C₂³	1	1	yes	characteristic
705	C₂×#97	C₂³	1	1	yes	characteristic
706	C₂×#97	C₂³	1	1	yes	characteristic
707	C₂×#97	C₂³	1	1	yes	characteristic
708	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
709	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
710	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
711	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
712	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
713	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
714	C₂×C₄×C₈	C₂³	1	8	yes	complemented
715	C₂⁵	—	2	1	no	—
716	C₂⁵	—	2	1	no	—
717	C₂×#41	—	2	8	no	—
718	C₂×#41	—	2	2	no	—
719	C₂×#41	—	2	2	no	—
720	C₂×#41	—	2	8	no	—
721	C₂×#41	—	2	4	no	—
722	C₂×#41	—	2	4	no	—
723	C₂×#41	—	4	4	no	—
724	C₂×#41	—	4	2	no	—
725	C₂×#41	—	4	2	no	—
726	C₂×#41	—	4	8	no	—
727	C₂×#41	—	8	4	no	—
728	C₂×#41	C₂×D₄	1	8	yes	—
729	C₂×#41	C₂⁴	1	4	yes	—
730	C₂×#41	C₂⁴	1	4	yes	—
731	C₂²×Q₈	—	2	1	no	—
732	C₂²×Q₈	—	2	1	no	—
733	C₂²×Q₈	—	2	1	no	—
734	C₂²×Q₈	—	2	2	no	—
735	C₂²×Q₈	—	2	2	no	—
736	C₂²×Q₈	—	2	1	no	—
737	C₂²×Q₈	—	2	4	no	—
738	C₂²×Q₈	—	2	4	no	—
739	C₂²×Q₈	—	4	2	no	—
740	C₂²×Q₈	—	4	2	no	—
741	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
742	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
743	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
744	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
745	C₂²×Q₈	C₂⁴	1	4	yes	—
746	C₂²×Q₈	C₂⁴	1	4	yes	—
747	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
748	C₂²×D₄	—	2	4	no	—
749	C₂²×D₄	—	2	4	no	—
750	C₂²×D₄	—	2	1	no	—
751	C₂²×D₄	—	2	1	no	—
752	C₂²×D₄	—	2	1	no	—
753	C₂²×D₄	—	2	1	no	—
754	C₂²×D₄	—	2	1	no	—
755	C₂²×D₄	—	2	1	no	—
756	C₂²×D₄	—	2	1	no	—
757	C₂²×D₄	—	2	1	no	—
758	C₂²×D₄	—	2	8	no	—
759	C₂²×D₄	—	2	1	no	—
760	C₂²×D₄	—	2	1	no	—
761	C₂²×D₄	—	2	1	no	—
762	C₂²×D₄	—	2	2	no	—
763	C₂²×D₄	—	2	2	no	—
764	C₂²×D₄	—	2	1	no	—
765	C₂²×D₄	—	4	2	no	—
766	C₂²×D₄	—	4	2	no	—
767	C₂²×D₄	—	4	8	no	—
768	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
769	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
770	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
771	C₂²×D₄	C₂⁴	1	1	yes	characteristic
772	C₂²×D₄	C₂⁴	1	1	yes	characteristic
773	C₂²×D₄	C₂⁴	1	1	yes	characteristic
774	C₂²×D₄	C₂⁴	1	4	yes	—
775	C₂²×D₄	C₂⁴	1	4	yes	—
776	C₂²×D₄	C₂⁴	1	1	yes	characteristic
777	C₂³×C₄	—	2	1	no	—
778	C₂³×C₄	—	2	1	no	—
779	C₂³×C₄	—	2	1	no	—
780	C₂³×C₄	—	2	1	no	—
781	C₂³×C₄	—	2	1	no	—
782	C₂³×C₄	—	2	1	no	—
783	C₂³×C₄	—	2	1	no	—
784	C₂³×C₄	—	2	1	no	—
785	C₂³×C₄	—	2	1	no	—
786	C₂³×C₄	—	2	1	no	—
787	C₂³×C₄	—	2	1	no	—
788	C₂³×C₄	—	2	1	no	—
789	C₂³×C₄	—	2	1	no	—
790	C₂³×C₄	—	2	1	no	—
791	C₂³×C₄	—	2	1	no	—
792	C₂³×C₄	—	2	1	no	—
793	C₂³×C₄	—	2	1	no	—
794	C₂³×C₄	—	2	1	no	—
795	C₂³×C₄	—	2	8	no	—
796	C₂³×C₄	—	2	8	no	—
797	C₂³×C₄	—	8	4	no	—
798	C₂³×C₄	—	8	4	no	—
799	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
800	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
801	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
802	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
803	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
804	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
805	C₂³×C₄	C₂⁴	1	1	yes	characteristic
806	C₂³×C₄	C₂⁴	1	1	yes	characteristic
807	C₂³×C₄	C₂⁴	1	1	yes	characteristic
808	#137	—	2	32	no	—
809	AGL(1,ℤ/8)	—	2	32	no	—
810	C₂×Q₁₆	—	2	4	no	—
811	C₂×Q₁₆	—	2	4	no	—
812	C₂×Q₁₆	—	4	2	no	—
813	C₂×Q₁₆	C₂⁴	1	4	yes	—
814	C₂×Q₁₆	C₂⁴	1	4	yes	—
815	C₂×Q₁₆	C₂⁴	1	4	yes	—
816	C₂×SD₁₆	—	2	4	no	—
817	C₂×SD₁₆	—	2	4	no	—
818	C₂×SD₁₆	—	2	4	no	—
819	C₂×SD₁₆	—	2	4	no	—
820	C₂×SD₁₆	—	2	32	no	—
821	C₂×SD₁₆	—	2	4	no	—
822	C₂×SD₁₆	—	4	2	no	—
823	C₂×SD₁₆	—	4	2	no	—
824	C₂×SD₁₆	—	4	2	no	—
825	C₂×SD₁₆	—	4	2	no	—
826	C₂×SD₁₆	#41	1	8	yes	complemented
827	C₂×SD₁₆	C₂⁴	1	4	yes	—
828	C₂×SD₁₆	C₂⁴	1	4	yes	—
829	C₂×SD₁₆	C₂⁴	1	4	yes	—
830	C₂×SD₁₆	C₂⁴	1	4	yes	—
831	C₂×SD₁₆	C₂⁴	1	4	yes	—
832	C₂×SD₁₆	C₂⁴	1	4	yes	—
833	C₂×SD₁₆	C₂⁴	1	4	yes	—
834	C₂×SD₁₆	C₂⁴	1	4	yes	—
835	C₂×SD₁₆	C₂⁴	1	4	yes	—
836	C₂×SD₁₆	C₂⁴	1	4	yes	—
837	C₂×D₈	—	2	4	no	—
838	C₂×D₈	—	2	4	no	—
839	C₂×D₈	—	4	2	no	—
840	C₂×D₈	C₂⁴	1	4	yes	—
841	C₂×D₈	C₂⁴	1	4	yes	—
842	C₂×D₈	C₂⁴	1	4	yes	—
843	C₂×M₁₆	—	2	4	no	—
844	C₂×M₁₆	—	2	4	no	—
845	C₂×M₁₆	—	4	2	no	—
846	C₂×M₁₆	—	4	2	no	—
847	C₂×M₁₆	C₂⁴	1	4	yes	—
848	C₂×M₁₆	C₂⁴	1	4	yes	—
849	C₂×M₁₆	C₂⁴	1	4	yes	—
850	C₂×M₁₆	C₂⁴	1	4	yes	—
851	C₂²×C₈	—	2	4	no	—
852	C₂²×C₈	—	4	2	no	—
853	C₂²×C₈	C₂⁴	1	1	yes	characteristic
854	C₂²×C₈	C₂⁴	1	1	yes	characteristic
855	C₂²×C₈	C₂⁴	1	1	yes	characteristic
856	C₂²×C₈	C₂⁴	1	4	yes	—
857	C₂²×C₈	C₂⁴	1	1	yes	characteristic
858	C₂²×C₈	C₂⁴	1	1	yes	characteristic
859	C₂²×C₈	C₂⁴	1	1	yes	characteristic
860	C₂²×C₈	C₂⁴	1	1	yes	characteristic
861	C₂²×C₈	C₂⁴	1	4	yes	—
862	C₂²×C₈	C₂⁴	1	1	yes	characteristic
863	C₄⋊Q₈	—	2	8	no	—
864	C₄⋊Q₈	—	2	8	no	—
865	C₄⋊Q₈	—	2	2	no	—
866	C₄⋊Q₈	—	2	2	no	—
867	C₄⋊Q₈	—	2	2	no	—
868	C₄⋊Q₈	C₂⁴	1	4	yes	—
869	C₄⋊Q₈	C₂⁴	1	4	yes	—
870	C₄⋊Q₈	C₂⁴	1	4	yes	—
871	#127	—	2	2	no	—
872	#127	C₂⁴	1	4	yes	—
873	#126	—	2	8	no	—
874	#126	—	2	8	no	—
875	#126	—	2	8	no	—
876	#126	—	2	8	no	—
877	#126	—	2	8	no	—
878	#126	—	2	8	no	—
879	#126	—	2	8	no	—
880	#126	—	2	8	no	—
881	#126	—	2	8	no	—
882	#126	—	2	8	no	—
883	#125	—	2	8	no	—
884	#125	—	2	8	no	—
885	#125	—	2	8	no	—
886	#125	—	2	8	no	—
887	#125	—	2	8	no	—
888	#125	—	2	8	no	—
889	#125	—	2	2	no	—
890	#125	—	2	2	no	—
891	#125	—	2	2	no	—
892	#125	—	2	2	no	—
893	#125	C₂⁴	1	4	yes	—
894	#125	C₂⁴	1	4	yes	—
895	#125	C₂⁴	1	4	yes	—
896	#125	C₂⁴	1	4	yes	—
897	#124	—	2	8	no	—
898	#124	—	2	8	no	—
899	#124	—	2	8	no	—
900	#124	—	2	8	no	—
901	#124	—	2	2	no	—
902	#124	—	2	2	no	—
903	#124	—	2	2	no	—
904	#124	—	2	2	no	—
905	#124	C₂⁴	1	4	yes	—
906	#124	C₂⁴	1	4	yes	—
907	#124	C₂⁴	1	4	yes	—
908	#124	C₂⁴	1	4	yes	—
909	#123	—	2	8	no	—
910	#123	—	2	8	no	—
911	#123	—	2	8	no	—
912	#123	—	2	8	no	—
913	#123	—	2	8	no	—
914	#123	—	2	8	no	—
915	#123	—	2	8	no	—
916	#123	—	2	8	no	—
917	#123	—	2	8	no	—
918	#123	—	2	8	no	—
919	#123	—	2	8	no	—
920	#123	—	2	8	no	—
921	#123	—	2	8	no	—
922	#123	—	2	8	no	—
923	C₂²⋊Q₈	—	2	8	no	—
924	C₂²⋊Q₈	—	2	8	no	—
925	C₂²⋊Q₈	—	2	8	no	—
926	C₂²⋊Q₈	—	2	2	no	—
927	C₂²⋊Q₈	—	2	2	no	—
928	C₂²⋊Q₈	—	2	2	no	—
929	C₂²⋊Q₈	—	2	2	no	—
930	C₂²⋊Q₈	—	2	2	no	—
931	C₂²⋊Q₈	—	2	2	no	—
932	C₂²⋊Q₈	—	2	8	no	—
933	C₂²⋊Q₈	—	2	8	no	—
934	C₂²⋊Q₈	—	2	8	no	—
935	C₂²⋊Q₈	—	2	8	no	—
936	C₂²⋊Q₈	—	2	8	no	—
937	C₂²⋊Q₈	—	2	8	no	—
938	C₂²⋊Q₈	—	2	8	no	—
939	C₂²⋊Q₈	—	2	8	no	—
940	C₂²⋊Q₈	—	2	8	no	—
941	C₂²⋊Q₈	C₂⁴	1	4	yes	—
942	C₂²⋊Q₈	C₂⁴	1	4	yes	—
943	C₂²⋊Q₈	C₂⁴	1	4	yes	—
944	C₂²⋊Q₈	C₂⁴	1	4	yes	—
945	C₂²⋊Q₈	C₂⁴	1	4	yes	—
946	C₂²⋊Q₈	C₂⁴	1	4	yes	—
947	#121	—	2	8	no	—
948	#121	—	2	8	no	—
949	#121	—	2	8	no	—
950	#121	—	2	8	no	—
951	#121	—	2	8	no	—
952	#121	—	2	2	no	—
953	#121	—	2	2	no	—
954	#121	—	2	2	no	—
955	#121	—	2	2	no	—
956	#121	—	2	2	no	—
957	#121	—	2	2	no	—
958	#121	—	2	8	no	—
959	#121	—	2	8	no	—
960	#121	—	2	8	no	—
961	#121	C₂⁴	1	4	yes	—
962	#121	C₂⁴	1	4	yes	—
963	#121	C₂⁴	1	4	yes	—
964	#121	C₂⁴	1	4	yes	—
965	#121	C₂⁴	1	4	yes	—
966	#121	C₂⁴	1	4	yes	—
967	#120	—	2	8	no	—
968	#120	—	2	8	no	—
969	#120	—	2	8	no	—
970	#120	—	2	8	no	—
971	C₄×Q₈	—	2	8	no	—
972	C₄×Q₈	—	2	2	no	—
973	C₄×Q₈	—	2	2	no	—
974	C₄×Q₈	—	2	2	no	—
975	C₄×Q₈	—	2	2	no	—
976	C₄×Q₈	—	2	2	no	—
977	C₄×Q₈	—	2	2	no	—
978	C₄×Q₈	—	2	2	no	—
979	C₄×Q₈	—	2	8	no	—
980	C₄×Q₈	—	2	8	no	—
981	C₄×Q₈	—	2	8	no	—
982	C₄×Q₈	—	2	8	no	—
983	C₄×Q₈	—	2	8	no	—
984	C₄×Q₈	—	2	2	no	—
985	C₄×Q₈	—	2	2	no	—
986	C₄×Q₈	—	2	2	no	—
987	C₄×Q₈	C₂×D₄	1	8	yes	—
988	C₄×Q₈	C₂×D₄	1	4	yes	—
989	C₄×Q₈	C₂⁴	1	4	yes	—
990	C₄×Q₈	C₂⁴	1	4	yes	—
991	C₄×Q₈	C₂⁴	1	4	yes	—
992	C₄×Q₈	C₂⁴	1	4	yes	—
993	C₄×Q₈	C₂⁴	1	4	yes	—
994	C₄×Q₈	C₂⁴	1	4	yes	—
995	C₄×Q₈	C₂⁴	1	4	yes	—
996	C₄×Q₈	C₂⁴	1	4	yes	—
997	C₄×Q₈	C₂⁴	1	4	yes	—
998	C₄×Q₈	C₂⁴	1	4	yes	—
999	C₄×Q₈	C₂⁴	1	4	yes	—
1000	C₄×D₄	—	2	8	no	—
1001	C₄×D₄	—	2	8	no	—
1002	C₄×D₄	—	2	8	no	—
1003	C₄×D₄	—	2	8	no	—
1004	C₄×D₄	—	2	8	no	—
1005	C₄×D₄	—	2	8	no	—
1006	C₄×D₄	—	2	8	no	—
1007	C₄×D₄	—	2	8	no	—
1008	C₄×D₄	—	2	8	no	—
1009	C₄×D₄	—	2	8	no	—
1010	C₄×D₄	—	2	8	no	—
1011	C₄×D₄	—	2	8	no	—
1012	C₄×D₄	—	2	8	no	—
1013	C₄×D₄	—	2	8	no	—
1014	C₄×D₄	—	2	8	no	—
1015	C₄×D₄	—	2	2	no	—
1016	C₄×D₄	—	2	8	no	—
1017	C₄×D₄	—	2	8	no	—
1018	C₄×D₄	—	2	8	no	—
1019	C₄×D₄	—	2	2	no	—
1020	C₄×D₄	—	2	2	no	—
1021	C₄×D₄	—	2	2	no	—
1022	C₄×D₄	—	2	2	no	—
1023	C₄×D₄	—	2	8	no	—
1024	C₄×D₄	—	2	8	no	—
1025	C₄×D₄	—	2	2	no	—
1026	C₄×D₄	—	2	2	no	—
1027	C₄×D₄	—	2	2	no	—
1028	C₄×D₄	—	2	2	no	—
1029	C₄×D₄	—	2	2	no	—
1030	C₄×D₄	C₂×D₄	1	8	yes	—
1031	C₄×D₄	C₂×D₄	1	8	yes	—
1032	C₄×D₄	C₂×D₄	1	8	yes	—
1033	C₄×D₄	C₂×D₄	1	4	yes	—
1034	C₄×D₄	C₂×D₄	1	4	yes	—
1035	C₄×D₄	C₂×D₄	1	4	yes	—
1036	C₄×D₄	C₂⁴	1	4	yes	—
1037	C₄×D₄	C₂⁴	1	4	yes	—
1038	C₄×D₄	C₂⁴	1	4	yes	—
1039	C₄×D₄	C₂⁴	1	4	yes	—
1040	C₄×D₄	C₂⁴	1	4	yes	—
1041	C₄×D₄	C₂⁴	1	4	yes	—
1042	C₄×D₄	C₂⁴	1	4	yes	—
1043	C₄×D₄	C₂⁴	1	4	yes	—
1044	C₄×D₄	C₂⁴	1	4	yes	—
1045	C₄×D₄	C₂⁴	1	4	yes	—
1046	C₄×D₄	C₂⁴	1	4	yes	—
1047	C₄×D₄	C₂⁴	1	4	yes	—
1048	C₄×D₄	C₂⁴	1	4	yes	—
1049	#117	—	2	8	no	—
1050	#117	—	2	2	no	—
1051	#117	—	2	2	no	—
1052	#117	—	2	8	no	—
1053	#117	—	2	8	no	—
1054	#117	—	2	8	no	—
1055	#117	—	2	8	no	—
1056	#117	—	2	8	no	—
1057	#117	—	2	8	no	—
1058	#117	—	2	8	no	—
1059	#117	—	2	8	no	—
1060	#117	—	2	8	no	—
1061	#117	C₂×D₄	1	8	yes	—
1062	#117	C₂×D₄	1	8	yes	—
1063	#117	C₂×D₄	1	8	yes	—
1064	#117	C₂⁴	1	4	yes	—
1065	#117	C₂⁴	1	4	yes	—
1066	C₂×C₄⋊C₄	—	2	1	no	—
1067	C₂×C₄⋊C₄	—	2	1	no	—
1068	C₂×C₄⋊C₄	—	2	1	no	—
1069	C₂×C₄⋊C₄	—	2	1	no	—
1070	C₂×C₄⋊C₄	—	2	1	no	—
1071	C₂×C₄⋊C₄	—	2	1	no	—
1072	C₂×C₄⋊C₄	—	2	1	no	—
1073	C₂×C₄⋊C₄	—	2	1	no	—
1074	C₂×C₄⋊C₄	—	2	1	no	—
1075	C₂×C₄⋊C₄	—	2	1	no	—
1076	C₂×C₄⋊C₄	—	2	8	no	—
1077	C₂×C₄⋊C₄	—	2	8	no	—
1078	C₂×C₄⋊C₄	—	2	1	no	—
1079	C₂×C₄⋊C₄	—	2	1	no	—
1080	C₂×C₄⋊C₄	—	2	2	no	—
1081	C₂×C₄⋊C₄	—	2	2	no	—
1082	C₂×C₄⋊C₄	—	2	1	no	—
1083	C₂×C₄⋊C₄	—	2	1	no	—
1084	C₂×C₄⋊C₄	—	2	2	no	—
1085	C₂×C₄⋊C₄	—	2	2	no	—
1086	C₂×C₄⋊C₄	—	2	1	no	—
1087	C₂×C₄⋊C₄	—	2	1	no	—
1088	C₂×C₄⋊C₄	—	2	1	no	—
1089	C₂×C₄⋊C₄	—	2	1	no	—
1090	C₂×C₄⋊C₄	—	2	1	no	—
1091	C₂×C₄⋊C₄	—	2	1	no	—
1092	C₂×C₄⋊C₄	—	2	1	no	—
1093	C₂×C₄⋊C₄	—	2	1	no	—
1094	C₂×C₄⋊C₄	—	2	1	no	—
1095	C₂×C₄⋊C₄	—	2	1	no	—
1096	C₂×C₄⋊C₄	—	2	1	no	—
1097	C₂×C₄⋊C₄	—	2	1	no	—
1098	C₂×C₄⋊C₄	—	2	1	no	—
1099	C₂×C₄⋊C₄	—	2	1	no	—
1100	C₂×C₄⋊C₄	—	2	1	no	—
1101	C₂×C₄⋊C₄	—	2	1	no	—
1102	C₂×C₄⋊C₄	—	2	1	no	—
1103	C₂×C₄⋊C₄	—	2	1	no	—
1104	C₂×C₄⋊C₄	—	2	8	no	—
1105	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1106	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1107	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1108	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1116	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1117	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1119	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1120	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1121	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1122	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	—	2	1	no	—
1124	C₂×C₂²⋊C₄	—	2	1	no	—
1125	C₂×C₂²⋊C₄	—	2	1	no	—
1126	C₂×C₂²⋊C₄	—	2	1	no	—
1127	C₂×C₂²⋊C₄	—	2	1	no	—
1128	C₂×C₂²⋊C₄	—	2	1	no	—
1129	C₂×C₂²⋊C₄	—	2	1	no	—
1130	C₂×C₂²⋊C₄	—	2	1	no	—
1131	C₂×C₂²⋊C₄	—	2	1	no	—
1132	C₂×C₂²⋊C₄	—	2	1	no	—
1133	C₂×C₂²⋊C₄	—	2	1	no	—
1134	C₂×C₂²⋊C₄	—	2	1	no	—
1135	C₂×C₂²⋊C₄	—	2	1	no	—
1136	C₂×C₂²⋊C₄	—	2	1	no	—
1137	C₂×C₂²⋊C₄	—	2	1	no	—
1138	C₂×C₂²⋊C₄	—	2	1	no	—
1139	C₂×C₂²⋊C₄	—	2	1	no	—
1140	C₂×C₂²⋊C₄	—	2	1	no	—
1141	C₂×C₂²⋊C₄	—	2	1	no	—
1142	C₂×C₂²⋊C₄	—	2	8	no	—
1143	C₂×C₂²⋊C₄	—	2	8	no	—
1144	C₂×C₂²⋊C₄	—	2	1	no	—
1145	C₂×C₂²⋊C₄	—	2	1	no	—
1146	C₂×C₂²⋊C₄	—	2	1	no	—
1147	C₂×C₂²⋊C₄	—	2	1	no	—
1148	C₂×C₂²⋊C₄	—	2	1	no	—
1149	C₂×C₂²⋊C₄	—	2	1	no	—
1150	C₂×C₂²⋊C₄	—	2	1	no	—
1151	C₂×C₂²⋊C₄	—	2	1	no	—
1152	C₂×C₂²⋊C₄	—	2	1	no	—
1153	C₂×C₂²⋊C₄	—	2	1	no	—
1154	C₂×C₂²⋊C₄	—	2	1	no	—
1155	C₂×C₂²⋊C₄	—	2	1	no	—
1156	C₂×C₂²⋊C₄	—	2	1	no	—
1157	C₂×C₂²⋊C₄	—	2	8	no	—
1158	C₂×C₂²⋊C₄	—	2	8	no	—
1159	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1165	C₂×C₄²	—	2	1	no	—
1166	C₂×C₄²	—	2	1	no	—
1167	C₂×C₄²	—	2	1	no	—
1168	C₂×C₄²	—	2	1	no	—
1169	C₂×C₄²	—	2	1	no	—
1170	C₂×C₄²	—	2	1	no	—
1171	C₂×C₄²	—	2	1	no	—
1172	C₂×C₄²	—	2	1	no	—
1173	C₂×C₄²	—	2	8	no	—
1174	C₂×C₄²	—	2	8	no	—
1175	C₂×C₄²	—	2	1	no	—
1176	C₂×C₄²	—	2	1	no	—
1177	C₂×C₄²	—	2	1	no	—
1178	C₂×C₄²	—	2	1	no	—
1179	C₂×C₄²	—	2	8	no	—
1180	C₂×C₄²	—	2	8	no	—
1181	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1182	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1183	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1184	C₂×C₄²	C₂×D₄	1	4	yes	—
1185	C₂×C₄²	C₂×D₄	1	4	yes	—
1186	C₂×C₄²	C₂×D₄	1	4	yes	—
1187	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1188	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1189	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
1190	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1191	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1192	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1193	C₂×C₄²	C₂⁴	1	4	yes	—
1194	C₂×C₄²	C₂⁴	1	4	yes	—
1195	C₂×C₄²	C₂⁴	1	4	yes	—
1196	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1197	#107	C₂⁴	1	4	yes	—
1198	#107	C₂⁴	1	4	yes	—
1199	#107	C₂⁴	1	4	yes	—
1200	#107	C₂⁴	1	4	yes	—
1201	#107	C₂⁴	1	4	yes	—
1202	#107	C₂⁴	1	4	yes	—
1203	#106	C₂⁴	1	4	yes	—
1204	#106	C₂⁴	1	4	yes	—
1205	#106	C₂⁴	1	4	yes	—
1206	#106	C₂⁴	1	4	yes	—
1207	#106	C₂⁴	1	4	yes	—
1208	#106	C₂⁴	1	4	yes	—
1209	#106	C₂⁴	1	4	yes	—
1210	#106	C₂⁴	1	4	yes	—
1211	#106	C₂⁴	1	4	yes	—
1212	#106	C₂⁴	1	4	yes	—
1213	C₄⋊C₈	C₂⁴	1	4	yes	—
1214	C₄⋊C₈	C₂⁴	1	4	yes	—
1215	C₄⋊C₈	C₂⁴	1	4	yes	—
1216	C₄⋊C₈	C₂⁴	1	4	yes	—
1217	C₄⋊C₈	C₂⁴	1	4	yes	—
1218	C₄⋊C₈	C₂⁴	1	4	yes	—
1219	#103	C₂⁴	1	4	yes	—
1220	#103	C₂⁴	1	4	yes	—
1221	#103	C₂⁴	1	4	yes	—
1222	#103	C₂⁴	1	4	yes	—
1223	#103	C₂⁴	1	4	yes	—
1224	#103	C₂⁴	1	4	yes	—
1225	#103	C₂⁴	1	4	yes	—
1226	#103	C₂⁴	1	4	yes	—
1227	#103	C₂⁴	1	4	yes	—
1228	#103	C₂⁴	1	4	yes	—
1229	#103	C₂⁴	1	4	yes	—
1230	#103	C₂⁴	1	4	yes	—
1231	#103	C₂⁴	1	4	yes	—
1232	#103	C₂⁴	1	4	yes	—
1233	#103	C₂⁴	1	4	yes	—
1234	#103	C₂⁴	1	4	yes	—
1235	#102	C₂⁴	1	4	yes	—
1236	#102	C₂⁴	1	4	yes	—
1237	#102	C₂⁴	1	4	yes	—
1238	#102	C₂⁴	1	4	yes	—
1239	#102	C₂⁴	1	4	yes	—
1240	#102	C₂⁴	1	4	yes	—
1241	#102	C₂⁴	1	4	yes	—
1242	#102	C₂⁴	1	4	yes	—
1243	#102	C₂⁴	1	4	yes	—
1244	#102	C₂⁴	1	4	yes	—
1245	#102	C₂⁴	1	4	yes	—
1246	#102	C₂⁴	1	4	yes	—
1247	#102	C₂⁴	1	4	yes	—
1248	#102	C₂⁴	1	4	yes	—
1249	#102	C₂⁴	1	4	yes	—
1250	#102	C₂⁴	1	4	yes	—
1251	C₂²⋊C₈	C₂⁴	1	4	yes	—
1252	C₂²⋊C₈	C₂⁴	1	4	yes	—
1253	C₂²⋊C₈	C₂⁴	1	4	yes	—
1254	C₂²⋊C₈	C₂⁴	1	4	yes	—
1255	C₂²⋊C₈	C₂⁴	1	4	yes	—
1256	C₂²⋊C₈	C₂⁴	1	4	yes	—
1257	#97	C₂⁴	1	4	yes	—
1258	#97	C₂⁴	1	4	yes	—
1259	#97	C₂⁴	1	4	yes	—
1260	#97	C₂⁴	1	4	yes	—
1261	C₄×C₈	C₂⁴	1	4	yes	—
1262	C₄×C₈	C₂⁴	1	4	yes	—
1263	C₄×C₈	C₂⁴	1	4	yes	—
1264	C₄×C₈	C₂⁴	1	4	yes	—
1265	C₄×C₈	C₂⁴	1	4	yes	—
1266	C₄×C₈	C₂⁴	1	4	yes	—
1267	C₂⁴	—	2	1	no	—
1268	C₂⁴	—	2	1	no	—
1269	C₂⁴	—	2	1	no	—
1270	C₂⁴	—	2	1	no	—
1271	C₂⁴	—	2	4	no	—
1272	C₂⁴	—	2	4	no	—
1273	C₂⁴	—	4	4	no	—
1274	C₂⁴	—	4	4	no	—
1275	C₂⁴	—	4	4	no	—
1276	C₂⁴	—	4	4	no	—
1277	C₂⁴	—	8	2	no	—
1278	C₂⁴	—	8	2	no	—
1279	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1280	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1281	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1282	#41	—	2	8	no	—
1283	#41	—	2	8	no	—
1284	#41	—	4	16	no	—
1285	#41	—	4	4	no	—
1286	#41	—	4	4	no	—
1287	#41	—	4	8	no	—
1288	#41	—	4	8	no	—
1289	#41	—	4	32	no	—
1290	#41	—	8	16	no	—
1291	C₂×Q₈	—	2	1	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	2	4	no	—
1294	C₂×Q₈	—	2	4	no	—
1295	C₂×Q₈	—	2	1	no	—
1296	C₂×Q₈	—	2	1	no	—
1297	C₂×Q₈	—	2	4	no	—
1298	C₂×Q₈	—	2	4	no	—
1299	C₂×Q₈	—	2	2	no	—
1300	C₂×Q₈	—	2	8	no	—
1301	C₂×Q₈	—	2	8	no	—
1302	C₂×Q₈	—	2	2	no	—
1303	C₂×Q₈	—	2	2	no	—
1304	C₂×Q₈	—	2	2	no	—
1305	C₂×Q₈	—	2	2	no	—
1306	C₂×Q₈	—	2	2	no	—
1307	C₂×Q₈	—	2	2	no	—
1308	C₂×Q₈	—	4	2	no	—
1309	C₂×Q₈	—	4	4	no	—
1310	C₂×Q₈	—	4	4	no	—
1311	C₂×Q₈	—	4	4	no	—
1312	C₂×Q₈	—	4	4	no	—
1313	C₂×Q₈	—	4	8	no	—
1314	C₂×Q₈	—	4	8	no	—
1315	C₂×Q₈	—	4	4	no	—
1316	C₂×Q₈	—	8	2	no	—
1317	C₂×Q₈	C₂²×D₄	1	4	yes	—
1318	C₂×Q₈	C₂×#41	1	4	yes	—
1319	C₂×Q₈	C₂⁵	1	2	yes	—
1320	C₂×Q₈	C₂⁵	1	2	yes	—
1321	C₂×Q₈	C₂⁵	1	2	yes	—
1322	C₂×Q₈	C₂⁵	1	2	yes	—
1323	C₂×D₄	—	2	4	no	—
1324	C₂×D₄	—	2	4	no	—
1325	C₂×D₄	—	2	8	no	—
1326	C₂×D₄	—	2	8	no	—
1327	C₂×D₄	—	2	4	no	—
1328	C₂×D₄	—	2	4	no	—
1329	C₂×D₄	—	2	4	no	—
1330	C₂×D₄	—	2	4	no	—
1331	C₂×D₄	—	2	4	no	—
1332	C₂×D₄	—	2	4	no	—
1333	C₂×D₄	—	2	4	no	—
1334	C₂×D₄	—	2	4	no	—
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	2	4	no	—
1337	C₂×D₄	—	2	4	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	4	no	—
1342	C₂×D₄	—	2	4	no	—
1343	C₂×D₄	—	2	2	no	—
1344	C₂×D₄	—	2	2	no	—
1345	C₂×D₄	—	2	2	no	—
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	2	2	no	—
1349	C₂×D₄	—	2	2	no	—
1350	C₂×D₄	—	4	4	no	—
1351	C₂×D₄	—	4	4	no	—
1352	C₂×D₄	—	4	8	no	—
1353	C₂×D₄	—	4	8	no	—
1354	C₂×D₄	—	4	2	no	—
1355	C₂×D₄	—	4	4	no	—
1356	C₂×D₄	—	4	4	no	—
1357	C₂×D₄	—	4	4	no	—
1358	C₂×D₄	—	4	4	no	—
1359	C₂×D₄	—	4	32	no	—
1360	C₂×D₄	—	4	4	no	—
1361	C₂×D₄	—	4	4	no	—
1362	C₂×D₄	—	4	4	no	—
1363	C₂×D₄	—	4	4	no	—
1364	C₂×D₄	—	4	4	no	—
1365	C₂×D₄	—	8	2	no	—
1366	C₂×D₄	—	8	2	no	—
1367	C₂×D₄	—	8	2	no	—
1368	C₂×D₄	C₂²×D₄	1	4	yes	—
1369	C₂×D₄	C₂²×D₄	1	4	yes	—
1370	C₂×D₄	C₂²×D₄	1	4	yes	—
1371	C₂×D₄	C₂×#41	1	4	yes	—
1372	C₂×D₄	C₂⁵	1	2	yes	—
1373	C₂×D₄	C₂⁵	1	2	yes	—
1374	C₂×D₄	C₂⁵	1	2	yes	—
1375	C₂×D₄	C₂⁵	1	2	yes	—
1376	C₂²×C₄	—	2	4	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	4	no	—
1379	C₂²×C₄	—	2	4	no	—
1380	C₂²×C₄	—	2	4	no	—
1381	C₂²×C₄	—	2	2	no	—
1382	C₂²×C₄	—	2	2	no	—
1383	C₂²×C₄	—	2	2	no	—
1384	C₂²×C₄	—	2	2	no	—
1385	C₂²×C₄	—	2	2	no	—
1386	C₂²×C₄	—	2	2	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	4	no	—
1397	C₂²×C₄	—	2	4	no	—
1398	C₂²×C₄	—	2	4	no	—
1399	C₂²×C₄	—	2	4	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	4	no	—
1403	C₂²×C₄	—	2	4	no	—
1404	C₂²×C₄	—	2	4	no	—
1405	C₂²×C₄	—	2	4	no	—
1406	C₂²×C₄	—	2	4	no	—
1407	C₂²×C₄	—	2	4	no	—
1408	C₂²×C₄	—	2	4	no	—
1409	C₂²×C₄	—	2	4	no	—
1410	C₂²×C₄	—	2	4	no	—
1411	C₂²×C₄	—	2	4	no	—
1412	C₂²×C₄	—	2	4	no	—
1413	C₂²×C₄	—	2	4	no	—
1414	C₂²×C₄	—	2	4	no	—
1415	C₂²×C₄	—	2	4	no	—
1416	C₂²×C₄	—	4	2	no	—
1417	C₂²×C₄	—	4	2	no	—
1418	C₂²×C₄	—	4	4	no	—
1419	C₂²×C₄	—	4	4	no	—
1420	C₂²×C₄	—	4	4	no	—
1421	C₂²×C₄	—	4	4	no	—
1422	C₂²×C₄	—	4	4	no	—
1423	C₂²×C₄	—	4	4	no	—
1424	C₂²×C₄	—	4	4	no	—
1425	C₂²×C₄	—	4	4	no	—
1426	C₂²×C₄	—	4	4	no	—
1427	C₂²×C₄	—	4	4	no	—
1428	C₂²×C₄	—	4	4	no	—
1429	C₂²×C₄	—	4	4	no	—
1430	C₂²×C₄	—	8	16	no	—
1431	C₂²×C₄	—	8	16	no	—
1432	C₂²×C₄	—	8	2	no	—
1433	C₂²×C₄	—	8	2	no	—
1434	C₂²×C₄	—	8	2	no	—
1435	C₂²×C₄	—	8	2	no	—
1436	C₂²×C₄	—	8	2	no	—
1437	C₂²×C₄	—	8	2	no	—
1438	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1439	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1440	C₂²×C₄	C₂²×D₄	1	4	yes	—
1441	C₂²×C₄	C₂²×D₄	1	4	yes	—
1442	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1443	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1444	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1445	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1446	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1447	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1448	C₂²×C₄	C₂²×D₄	1	2	yes	—
1449	C₂²×C₄	C₂²×D₄	1	2	yes	—
1450	C₂²×C₄	C₂²×D₄	1	2	yes	—
1451	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1452	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1453	C₂²×C₄	C₂²×D₄	1	4	yes	—
1454	C₂²×C₄	C₂²×D₄	1	4	yes	—
1455	C₂²×C₄	C₂²×D₄	1	4	yes	—
1456	C₂²×C₄	C₂²×D₄	1	4	yes	—
1457	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1458	C₂²×C₄	C₂⁵	1	2	yes	—
1459	C₂²×C₄	C₂⁵	1	2	yes	—
1460	C₂²×C₄	C₂⁵	1	2	yes	—
1461	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1462	Q₁₆	—	2	8	no	—
1463	Q₁₆	—	2	8	no	—
1464	Q₁₆	—	4	4	no	—
1465	SD₁₆	—	2	8	no	—
1466	SD₁₆	—	2	8	no	—
1467	SD₁₆	—	2	8	no	—
1468	SD₁₆	—	2	8	no	—
1469	SD₁₆	—	2	8	no	—
1470	SD₁₆	—	4	4	no	—
1471	SD₁₆	—	4	4	no	—
1472	SD₁₆	—	4	4	no	—
1473	SD₁₆	—	4	4	no	—
1474	SD₁₆	C₂×#41	1	16	yes	complemented
1475	D₈	—	2	8	no	—
1476	D₈	—	2	8	no	—
1477	D₈	—	4	4	no	—
1478	M₁₆	—	2	8	no	—
1479	M₁₆	—	2	8	no	—
1480	M₁₆	—	4	4	no	—
1481	M₁₆	—	4	4	no	—
1482	C₂×C₈	—	2	2	no	—
1483	C₂×C₈	—	2	2	no	—
1484	C₂×C₈	—	2	2	no	—
1485	C₂×C₈	—	2	2	no	—
1486	C₂×C₈	—	2	2	no	—
1487	C₂×C₈	—	2	2	no	—
1488	C₂×C₈	—	2	2	no	—
1489	C₂×C₈	—	2	8	no	—
1490	C₂×C₈	—	4	4	no	—
1491	C₂×C₈	C₂×#41	1	4	yes	—
1492	C₂×C₈	C₂⁵	1	2	yes	—
1493	C₂×C₈	C₂⁵	1	2	yes	—
1494	C₂×C₈	C₂⁵	1	2	yes	—
1495	C₂×C₈	C₂⁵	1	2	yes	—
1496	C₂×C₈	C₂⁵	1	2	yes	—
1497	C₂×C₈	C₂⁵	1	2	yes	—
1498	C₂×C₈	C₂⁵	1	2	yes	—
1499	C₂×C₈	C₂⁵	1	2	yes	—
1500	C₄⋊C₄	—	2	4	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	4	no	—
1504	C₄⋊C₄	—	2	4	no	—
1505	C₄⋊C₄	—	2	4	no	—
1506	C₄⋊C₄	—	2	4	no	—
1507	C₄⋊C₄	—	2	4	no	—
1508	C₄⋊C₄	—	2	4	no	—
1509	C₄⋊C₄	—	2	4	no	—
1510	C₄⋊C₄	—	2	4	no	—
1511	C₄⋊C₄	—	2	4	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	4	no	—
1515	C₄⋊C₄	—	2	4	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	4	no	—
1519	C₄⋊C₄	—	2	4	no	—
1520	C₄⋊C₄	—	2	4	no	—
1521	C₄⋊C₄	—	2	4	no	—
1522	C₄⋊C₄	—	2	4	no	—
1523	C₄⋊C₄	—	2	4	no	—
1524	C₄⋊C₄	—	2	4	no	—
1525	C₄⋊C₄	—	2	4	no	—
1526	C₄⋊C₄	—	2	4	no	—
1527	C₄⋊C₄	—	2	4	no	—
1528	C₄⋊C₄	—	2	4	no	—
1529	C₄⋊C₄	—	2	4	no	—
1530	C₄⋊C₄	—	2	4	no	—
1531	C₄⋊C₄	—	2	4	no	—
1532	C₄⋊C₄	—	2	4	no	—
1533	C₄⋊C₄	—	2	4	no	—
1534	C₄⋊C₄	—	2	4	no	—
1535	C₄⋊C₄	—	2	4	no	—
1536	C₄⋊C₄	—	2	4	no	—
1537	C₄⋊C₄	—	2	4	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1541	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1542	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1543	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1544	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1545	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1546	C₄⋊C₄	C₂⁵	1	2	yes	—
1547	C₄⋊C₄	C₂⁵	1	2	yes	—
1548	C₄⋊C₄	C₂⁵	1	2	yes	—
1549	C₄⋊C₄	C₂⁵	1	2	yes	—
1550	C₄⋊C₄	C₂⁵	1	2	yes	—
1551	C₄⋊C₄	C₂⁵	1	2	yes	—
1552	C₄⋊C₄	C₂⁵	1	2	yes	—
1553	C₄⋊C₄	C₂⁵	1	2	yes	—
1554	C₂²⋊C₄	—	2	4	no	—
1555	C₂²⋊C₄	—	2	4	no	—
1556	C₂²⋊C₄	—	2	4	no	—
1557	C₂²⋊C₄	—	2	4	no	—
1558	C₂²⋊C₄	—	2	4	no	—
1559	C₂²⋊C₄	—	2	4	no	—
1560	C₂²⋊C₄	—	2	4	no	—
1561	C₂²⋊C₄	—	2	4	no	—
1562	C₂²⋊C₄	—	2	4	no	—
1563	C₂²⋊C₄	—	2	4	no	—
1564	C₂²⋊C₄	—	2	4	no	—
1565	C₂²⋊C₄	—	2	4	no	—
1566	C₂²⋊C₄	—	2	4	no	—
1567	C₂²⋊C₄	—	2	4	no	—
1568	C₂²⋊C₄	—	2	4	no	—
1569	C₂²⋊C₄	—	2	4	no	—
1570	C₂²⋊C₄	—	2	4	no	—
1571	C₂²⋊C₄	—	2	4	no	—
1572	C₂²⋊C₄	—	2	4	no	—
1573	C₂²⋊C₄	—	2	4	no	—
1574	C₂²⋊C₄	—	2	4	no	—
1575	C₂²⋊C₄	—	2	4	no	—
1576	C₂²⋊C₄	—	2	4	no	—
1577	C₂²⋊C₄	—	2	4	no	—
1578	C₂²⋊C₄	—	2	4	no	—
1579	C₂²⋊C₄	—	2	4	no	—
1580	C₂²⋊C₄	—	2	4	no	—
1581	C₂²⋊C₄	—	2	4	no	—
1582	C₂²⋊C₄	—	2	4	no	—
1583	C₂²⋊C₄	—	2	4	no	—
1584	C₂²⋊C₄	—	2	4	no	—
1585	C₂²⋊C₄	—	2	4	no	—
1586	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1587	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1588	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1589	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1590	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1591	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1592	C₄²	—	2	4	no	—
1593	C₄²	—	2	4	no	—
1594	C₄²	—	2	4	no	—
1595	C₄²	—	2	4	no	—
1596	C₄²	—	2	4	no	—
1597	C₄²	—	2	4	no	—
1598	C₄²	—	2	4	no	—
1599	C₄²	—	2	4	no	—
1600	C₄²	—	2	4	no	—
1601	C₄²	—	2	4	no	—
1602	C₄²	—	2	4	no	—
1603	C₄²	—	2	4	no	—
1604	C₄²	C₂²×D₄	1	4	yes	—
1605	C₄²	C₂²×D₄	1	4	yes	—
1606	C₄²	C₂²×D₄	1	2	yes	—
1607	C₄²	C₂²×D₄	1	4	yes	—
1608	C₄²	C₂²×D₄	1	4	yes	—
1609	C₄²	C₂²×D₄	1	4	yes	—
1610	C₄²	C₂²×D₄	1	4	yes	—
1611	C₄²	C₂²×D₄	1	2	yes	—
1612	C₄²	C₂²×D₄	1	2	yes	—
1613	C₄²	C₂²×D₄	1	2	yes	—
1614	C₄²	C₂⁵	1	2	yes	—
1615	C₄²	C₂⁵	1	2	yes	—
1616	C₄²	C₂⁵	1	2	yes	—
1617	C₄²	C₂⁵	1	2	yes	—
1618	C₂³	—	2	2	no	—
1619	C₂³	—	2	2	no	—
1620	C₂³	—	2	2	no	—
1621	C₂³	—	2	2	no	—
1622	C₂³	—	2	2	no	—
1623	C₂³	—	2	4	no	—
1624	C₂³	—	2	2	no	—
1625	C₂³	—	2	2	no	—
1626	C₂³	—	2	2	no	—
1627	C₂³	—	2	2	no	—
1628	C₂³	—	2	2	no	—
1629	C₂³	—	2	2	no	—
1630	C₂³	—	2	2	no	—
1631	C₂³	—	4	8	no	—
1632	C₂³	—	4	8	no	—
1633	C₂³	—	4	8	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	2	no	—
1636	C₂³	—	4	2	no	—
1637	C₂³	—	4	2	no	—
1638	C₂³	—	4	2	no	—
1639	C₂³	—	4	2	no	—
1640	C₂³	—	4	8	no	—
1641	C₂³	—	4	2	no	—
1642	C₂³	—	4	2	no	—
1643	C₂³	—	4	2	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	4	2	no	—
1646	C₂³	—	8	4	no	—
1647	C₂³	—	8	4	no	—
1648	C₂³	—	8	16	no	—
1649	C₂³	—	8	16	no	—
1650	C₂³	#575	1	4	yes	—
1651	C₂³	C₂³×D₄	1	2	yes	—
1652	C₂³	C₂³×D₄	1	2	yes	—
1653	C₂³	C₂³×D₄	1	2	yes	—
1654	C₂³	C₂³×D₄	1	1	yes	characteristic
1655	Q₈	—	2	2	no	—
1656	Q₈	—	2	4	no	—
1657	Q₈	—	2	2	no	—
1658	Q₈	—	2	2	no	—
1659	Q₈	—	2	2	no	—
1660	Q₈	—	2	2	no	—
1661	Q₈	—	2	2	no	—
1662	Q₈	—	2	2	no	—
1663	Q₈	—	4	4	no	—
1664	Q₈	—	4	8	no	—
1665	Q₈	—	4	8	no	—
1666	Q₈	—	4	8	no	—
1667	Q₈	—	4	2	no	—
1668	Q₈	—	4	2	no	—
1669	Q₈	—	4	2	no	—
1670	Q₈	—	8	4	no	—
1671	Q₈	C₂²×#41	1	4	yes	—
1672	D₄	—	2	8	no	—
1673	D₄	—	2	8	no	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	2	no	—
1677	D₄	—	2	2	no	—
1678	D₄	—	2	2	no	—
1679	D₄	—	2	2	no	—
1680	D₄	—	2	2	no	—
1681	D₄	—	2	4	no	—
1682	D₄	—	4	4	no	—
1683	D₄	—	4	8	no	—
1684	D₄	—	4	8	no	—
1685	D₄	—	4	8	no	—
1686	D₄	—	4	8	no	—
1687	D₄	—	4	8	no	—
1688	D₄	—	4	8	no	—
1689	D₄	—	4	8	no	—
1690	D₄	—	4	8	no	—
1691	D₄	—	4	8	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	8	4	no	—
1696	D₄	—	8	4	no	—
1697	D₄	—	8	4	no	—
1698	D₄	C₂²×#41	1	4	yes	—
1699	C₂×C₄	—	2	2	no	—
1700	C₂×C₄	—	2	2	no	—
1701	C₂×C₄	—	2	2	no	—
1702	C₂×C₄	—	2	2	no	—
1703	C₂×C₄	—	2	4	no	—
1704	C₂×C₄	—	2	2	no	—
1705	C₂×C₄	—	2	2	no	—
1706	C₂×C₄	—	2	8	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	2	no	—
1709	C₂×C₄	—	2	2	no	—
1710	C₂×C₄	—	2	2	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	2	no	—
1713	C₂×C₄	—	2	2	no	—
1714	C₂×C₄	—	2	2	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	4	no	—
1719	C₂×C₄	—	2	4	no	—
1720	C₂×C₄	—	2	4	no	—
1721	C₂×C₄	—	2	8	no	—
1722	C₂×C₄	—	2	8	no	—
1723	C₂×C₄	—	2	8	no	—
1724	C₂×C₄	—	2	2	no	—
1725	C₂×C₄	—	2	2	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	2	no	—
1728	C₂×C₄	—	2	2	no	—
1729	C₂×C₄	—	2	2	no	—
1730	C₂×C₄	—	2	2	no	—
1731	C₂×C₄	—	2	2	no	—
1732	C₂×C₄	—	2	2	no	—
1733	C₂×C₄	—	2	2	no	—
1734	C₂×C₄	—	2	2	no	—
1735	C₂×C₄	—	4	4	no	—
1736	C₂×C₄	—	4	4	no	—
1737	C₂×C₄	—	4	8	no	—
1738	C₂×C₄	—	4	8	no	—
1739	C₂×C₄	—	4	8	no	—
1740	C₂×C₄	—	4	8	no	—
1741	C₂×C₄	—	4	8	no	—
1742	C₂×C₄	—	4	8	no	—
1743	C₂×C₄	—	4	8	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	4	2	no	—
1748	C₂×C₄	—	4	2	no	—
1749	C₂×C₄	—	4	2	no	—
1750	C₂×C₄	—	4	2	no	—
1751	C₂×C₄	—	4	8	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	8	no	—
1757	C₂×C₄	—	4	8	no	—
1758	C₂×C₄	—	4	8	no	—
1759	C₂×C₄	—	4	8	no	—
1760	C₂×C₄	—	8	4	no	—
1761	C₂×C₄	—	8	4	no	—
1762	C₂×C₄	—	8	4	no	—
1763	C₂×C₄	—	8	4	no	—
1764	C₂×C₄	—	8	4	no	—
1765	C₂×C₄	—	8	4	no	—
1766	C₂×C₄	#577	1	4	yes	—
1767	C₂×C₄	C₂³×D₄	1	2	yes	—
1768	C₂×C₄	C₂³×D₄	1	2	yes	—
1769	C₂×C₄	C₂³×D₄	1	2	yes	—
1770	C₂×C₄	C₂³×D₄	1	2	yes	—
1771	C₂×C₄	C₂³×D₄	1	2	yes	—
1772	C₂×C₄	C₂³×D₄	1	2	yes	—
1773	C₂×C₄	C₂³×D₄	1	2	yes	—
1774	C₂×C₄	C₂³×D₄	1	2	yes	—
1775	C₂×C₄	C₂³×D₄	1	2	yes	—
1776	C₂×C₄	C₂³×D₄	1	2	yes	—
1777	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1778	C₂×C₄	C₂³×D₄	1	2	yes	—
1779	C₂×C₄	C₂²×#41	1	2	yes	—
1780	C₂×C₄	#585	1	2	yes	—
1781	C₂×C₄	C₂⁶	1	1	yes	characteristic
1782	C₈	—	2	2	no	—
1783	C₈	—	2	2	no	—
1784	C₈	—	2	2	no	—
1785	C₈	—	2	2	no	—
1786	C₈	—	2	2	no	—
1787	C₈	—	2	2	no	—
1788	C₈	—	2	2	no	—
1789	C₈	C₂²×#41	1	4	yes	—
1790	C₂²	—	2	8	no	—
1791	C₂²	—	2	2	no	—
1792	C₂²	—	2	2	no	—
1793	C₂²	—	2	2	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	2	no	—
1796	C₂²	—	2	2	no	—
1797	C₂²	—	2	2	no	—
1798	C₂²	—	2	2	no	—
1799	C₂²	—	2	4	no	—
1800	C₂²	—	4	4	no	—
1801	C₂²	—	4	4	no	—
1802	C₂²	—	4	8	no	—
1803	C₂²	—	4	2	no	—
1804	C₂²	—	4	2	no	—
1805	C₂²	—	4	2	no	—
1806	C₂²	—	4	2	no	—
1807	C₂²	—	4	2	no	—
1808	C₂²	—	4	2	no	—
1809	C₂²	—	4	2	no	—
1810	C₂²	—	4	2	no	—
1811	C₂²	—	4	2	no	—
1812	C₂²	—	4	2	no	—
1813	C₂²	—	4	2	no	—
1814	C₂²	—	8	16	no	—
1815	C₂²	—	8	16	no	—
1816	C₂²	—	8	4	no	—
1817	C₂²	—	8	4	no	—
1818	C₂²	—	8	4	no	—
1819	C₂²	D₄×#41	1	2	yes	—
1820	C₂²	C₂×#575	1	4	yes	—
1821	C₂²	C₂×#575	1	2	yes	—
1822	C₂²	C₂×#577	1	2	yes	—
1823	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1824	C₄	—	2	2	no	—
1825	C₄	—	2	2	no	—
1826	C₄	—	2	2	no	—
1827	C₄	—	2	2	no	—
1828	C₄	—	2	2	no	—
1829	C₄	—	2	2	no	—
1830	C₄	—	2	2	no	—
1831	C₄	—	2	2	no	—
1832	C₄	—	2	2	no	—
1833	C₄	—	2	2	no	—
1834	C₄	—	2	4	no	—
1835	C₄	—	4	2	no	—
1836	C₄	—	4	2	no	—
1837	C₄	—	4	2	no	—
1838	C₄	—	4	2	no	—
1839	C₄	—	4	2	no	—
1840	C₄	—	4	2	no	—
1841	C₄	—	4	2	no	—
1842	C₄	—	4	2	no	—
1843	C₄	—	4	2	no	—
1844	C₄	—	4	2	no	—
1845	C₄	—	4	2	no	—
1846	C₄	D₄×#41	1	2	yes	—
1847	C₄	C₂×#577	1	4	yes	—
1848	C₄	C₂³×#41	1	1	yes	characteristic
1849	C₄	C₂×#585	1	1	yes	characteristic
1850	C₂	—	2	4	no	—
1851	C₂	—	4	2	no	—
1852	C₂	—	4	2	no	—
1853	C₂	—	4	4	no	—
1854	C₂	—	8	2	no	—
1855	C₂	—	8	2	no	—
1856	C₂	—	8	2	no	—
1857	C₂	#61445	1	4	yes	direct product factor
1858	C₂	C₂×D₄×#41	1	1	yes	characteristic
1859	C₂	C₂²×#575	1	1	yes	characteristic
1860	C₂	C₂²×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
socle	C₂³	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×#41 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3482	C₂	semidirect
2. C₂×#3481	C₂	semidirect
3. #61445	C₂	direct (N × H)
4. C₂×#3401	C₂	semidirect
5. C₂×#3388	C₂	semidirect
6. C₂×#3371	C₂	semidirect
7. C₂×#3376	C₂	semidirect
8. C₂×#3351	C₂	semidirect
9. C₂×#3345	C₂	semidirect
10. C₂×#3344	C₂	semidirect
11. C₂×#3326	C₂	semidirect
12. C₂×#3323	C₂	semidirect
13. C₂×#3320	C₂	semidirect
14. C₂×#3316	C₂	semidirect
15. C₂×#3310	C₂	semidirect
16. C₂×#3306	C₂	semidirect
17. C₂×#3275	C₂	semidirect
18. C₂×#3266	C₂	semidirect
19. C₂×#3265	C₂	semidirect
20. C₂×#3172	C₂	semidirect
21. C₂×#3171	C₂	semidirect
22. C₂×#3168	C₂	semidirect
23. C₂×#3108	C₂	semidirect
24. C₂×#3105	C₂	semidirect
25. C₂×#3103	C₂	semidirect
26. C₂×#3102	C₂	semidirect
27. C₂×#3102	C₂	semidirect
28. C₂×#3101	C₂	semidirect
29. C₂×#2965	C₂	semidirect
30. C₂×C₄×#137	C₂	semidirect
31. C₂×C₄×AGL(1,ℤ/8)	C₂	semidirect
32. C₂²×C₄×SD₁₆	C₂	semidirect
37. #3482	C₂²	semidirect
39. #3481	C₂²	semidirect
41. C₂×#557	C₂²	semidirect
43. C₂×#556	C₂²	semidirect
52. C₂×#552	C₂²	semidirect
55. C₂×D₄×Q₈	C₂²	semidirect
57. C₂×#548	C₂²	semidirect
59. C₂×#547	C₂²	semidirect
65. C₂×#533	C₂²	semidirect
72. C₂×#529	C₂²	semidirect
73. C₂×#529	C₂²	semidirect
79. C₂×C₄×#41	C₂²	semidirect
80. C₂²×C₄×Q₈	C₂²	semidirect
81. C₂²×C₄×Q₈	C₂²	semidirect
85. #3401	C₂²	semidirect
86. #3388	C₂²	semidirect
87. #3376	C₂²	semidirect
88. #3371	C₂²	semidirect
89. #3351	C₂²	semidirect
90. #3345	C₂²	semidirect
91. #3344	C₂²	semidirect
92. #3326	C₂²	semidirect
93. #3323	C₂²	semidirect
94. #3320	C₂²	semidirect
95. #3316	C₂²	semidirect
96. #3310	C₂²	semidirect
97. #3306	C₂²	semidirect
98. #3275	C₂²	semidirect
99. #3266	C₂²	semidirect
100. #3265	C₂²	semidirect
101. #3172	C₂²	semidirect
102. #3171	C₂²	semidirect
103. #3168	C₂²	semidirect
104. C₂×#501	C₂²	semidirect
105. C₂×#501	C₂²	semidirect
106. C₂×#499	C₂²	semidirect
107. C₂×#497	C₂²	semidirect
109. C₂×#495	C₂²	semidirect
110. C₂×#491	C₂²	semidirect
112. C₂×#489	C₂²	semidirect
113. C₂×#489	C₂²	semidirect
114. C₂×#488	C₂²	semidirect
115. C₂×#488	C₂²	semidirect
116. #3108	C₂²	semidirect
117. #3105	C₂²	semidirect
118. #3103	C₂²	semidirect
119. #3102	C₂²	semidirect
120. #3102	C₂²	semidirect
121. #3101	C₂²	semidirect
122. C₂×#484	C₂²	semidirect
123. C₂×#481	C₂²	semidirect
124. C₂×#481	C₂²	semidirect
125. C₂×#481	C₂²	semidirect
126. C₂×#485	C₂²	semidirect
127. C₂×#485	C₂²	semidirect
129. C₂×#482	C₂²	semidirect
130. C₂×#483	C₂²	semidirect
131. C₂×#483	C₂²	semidirect
132. C₂×#483	C₂²	semidirect
134. C₂×#479	C₂²	semidirect
135. C₂×#479	C₂²	semidirect
136. C₂×#479	C₂²	semidirect
137. C₂×#479	C₂²	semidirect
138. C₂×#475	C₂²	semidirect
139. C₂×#475	C₂²	semidirect
142. C₂×#478	C₂²	semidirect
143. C₂×#478	C₂²	semidirect
145. C₂×#476	C₂²	semidirect
146. C₂×#470	C₂²	semidirect
147. C₂×#470	C₂²	semidirect
148. C₂×#469	C₂²	semidirect
149. C₂×#469	C₂²	semidirect
152. C₂×#468	C₂²	semidirect
153. C₂×#468	C₂²	semidirect
154. C₂×#467	C₂²	semidirect
157. C₂×#465	C₂²	semidirect
158. C₂×#464	C₂²	semidirect
159. C₂×#464	C₂²	semidirect
160. C₂×#464	C₂²	semidirect
161. C₂×#464	C₂²	semidirect
166. C₂×#463	C₂²	semidirect
167. C₂×#463	C₂²	semidirect
169. C₂×#461	C₂²	semidirect
171. C₂×#452	C₂²	semidirect
174. C₂×#451	C₂²	semidirect
176. C₂×#448	C₂²	semidirect
177. C₂×#448	C₂²	semidirect
182. #2965	C₂²	semidirect
183. C₂×#446	C₂²	semidirect
184. C₂×#446	C₂²	semidirect
185. C₄×#137	C₂²	semidirect
186. C₄×AGL(1,ℤ/8)	C₂²	semidirect
188. C₂×#442	C₂²	semidirect
189. C₂×#441	C₂²	semidirect
190. C₂×#441	C₂²	semidirect
194. C₂×#440	C₂²	semidirect
195. C₂×C₄×Q₁₆	C₂²	semidirect
196. C₂×C₄×Q₁₆	C₂²	semidirect
197. C₂×C₄×Q₁₆	C₂²	semidirect
203. C₂×C₄×SD₁₆	C₂²	semidirect
204. C₂×C₄×SD₁₆	C₂²	semidirect
205. C₂×C₄×SD₁₆	C₂²	semidirect
206. C₂×C₄×SD₁₆	C₂²	semidirect
207. C₂×C₄×SD₁₆	C₂²	semidirect
208. C₂×C₄×SD₁₆	C₂²	semidirect
209. C₂×C₄×SD₁₆	C₂²	semidirect
210. C₂×C₄×SD₁₆	C₂²	semidirect
211. C₂×C₄×SD₁₆	C₂²	semidirect
212. C₂×C₄×SD₁₆	C₂²	semidirect
214. C₂×C₄×D₈	C₂²	semidirect
215. C₂×C₄×D₈	C₂²	semidirect
216. C₂×#436	C₂²	semidirect
217. C₂×#436	C₂²	semidirect
220. C₂×#435	C₂²	semidirect
221. C₂×#435	C₂²	semidirect
222. C₂×#431	C₂²	semidirect
223. C₂×#431	C₂²	semidirect
224. C₂×#431	C₂²	semidirect
225. C₂×#428	C₂²	semidirect
226. C₂×#428	C₂²	semidirect
227. C₂²×#106	C₂²	semidirect
229. C₂×#417	C₂²	semidirect
230. C₂×#419	C₂²	semidirect
232. C₂²×#103	C₂²	semidirect
234. C₂×C₄×M₁₆	C₂²	semidirect
235. C₂×C₄×M₁₆	C₂²	semidirect
236. C₂²×C₄×C₈	C₂²	semidirect
280. #557	C₂³	semidirect
283. #556	C₂³	semidirect
298. #552	C₂³	semidirect
302. D₄×Q₈	C₂³	semidirect
306. #548	C₂³	semidirect
309. #547	C₂³	semidirect
319. #533	C₂³	semidirect
337. #529	C₂³	semidirect
338. #529	C₂³	semidirect
425. C₄×#41	C₂³	semidirect
446. C₂×C₄×Q₈	C₂³	semidirect
447. C₂×C₄×Q₈	C₂³	semidirect
522. #501	C₂³	semidirect
523. #501	C₂³	semidirect
524. #499	C₂³	semidirect
525. #497	C₂³	semidirect
527. #495	C₂³	semidirect
528. #491	C₂³	semidirect
530. #489	C₂³	semidirect
531. #489	C₂³	semidirect
532. #488	C₂³	semidirect
533. #488	C₂³	semidirect
534. #485	C₂³	semidirect
535. #485	C₂³	semidirect
536. #484	C₂³	semidirect
537. #483	C₂³	semidirect
538. #483	C₂³	semidirect
539. #483	C₂³	semidirect
541. #482	C₂³	semidirect
542. #481	C₂³	semidirect
543. #481	C₂³	semidirect
544. #481	C₂³	semidirect
546. #479	C₂³	semidirect
547. #479	C₂³	semidirect
548. #479	C₂³	semidirect
549. #479	C₂³	semidirect
552. #478	C₂³	semidirect
553. #478	C₂³	semidirect
555. #476	C₂³	semidirect
556. #475	C₂³	semidirect
557. #475	C₂³	semidirect
558. #470	C₂³	semidirect
559. #470	C₂³	semidirect
560. #469	C₂³	semidirect
561. #469	C₂³	semidirect
564. #468	C₂³	semidirect
565. #468	C₂³	semidirect
566. #467	C₂³	semidirect
569. #465	C₂³	semidirect
570. #464	C₂³	semidirect
571. #464	C₂³	semidirect
572. #464	C₂³	semidirect
573. #464	C₂³	semidirect
576. #463	C₂³	semidirect
577. #463	C₂³	semidirect
579. #461	C₂³	semidirect
583. #452	C₂³	semidirect
584. #451	C₂³	semidirect
591. #448	C₂³	semidirect
592. #448	C₂³	semidirect
594. #446	C₂³	semidirect
595. #446	C₂³	semidirect
597. #442	C₂³	semidirect
598. #441	C₂³	semidirect
599. #441	C₂³	semidirect
603. #440	C₂³	semidirect
604. C₄×Q₁₆	C₂³	semidirect
605. C₄×Q₁₆	C₂³	semidirect
606. C₄×Q₁₆	C₂³	semidirect
612. C₄×SD₁₆	C₂³	semidirect
613. C₄×SD₁₆	C₂³	semidirect
614. C₄×SD₁₆	C₂³	semidirect
615. C₄×SD₁₆	C₂³	semidirect
616. C₄×SD₁₆	C₂³	semidirect
617. C₄×SD₁₆	C₂³	semidirect
618. C₄×SD₁₆	C₂³	semidirect
619. C₄×SD₁₆	C₂³	semidirect
620. C₄×SD₁₆	C₂³	semidirect
622. C₄×D₈	C₂³	semidirect
623. C₄×D₈	C₂³	semidirect
624. #436	C₂³	semidirect
625. #436	C₂³	semidirect
628. #435	C₂³	semidirect
629. #435	C₂³	semidirect
630. #431	C₂³	semidirect
631. #431	C₂³	semidirect
632. #431	C₂³	semidirect
633. #428	C₂³	semidirect
634. #428	C₂³	semidirect
651. C₂×#106	C₂³	semidirect
658. #419	C₂³	semidirect
661. #417	C₂³	semidirect
678. C₂×#103	C₂³	semidirect
702. C₄×M₁₆	C₂³	semidirect
703. C₄×M₁₆	C₂³	semidirect
714. C₂×C₄×C₈	C₂³	semidirect
826. C₂×SD₁₆	#41	semidirect
1474. SD₁₆	C₂×#41	semidirect
1857. C₂	#61445	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3482	2
C₂×#3481	2
#61445	2
C₂×#3401	2
C₂×#3388	2
C₂×#3371	2
C₂×#3376	2
C₂×#3351	2
C₂×#3345	2
C₂×#3344	2
C₂×#3326	2
C₂×#3323	2
C₂×#3320	2
C₂×#3316	2
C₂×#3310	2
C₂×#3306	2
C₂×#3275	2
C₂×#3266	2
C₂×#3265	2
C₂×#3172	2
C₂×#3171	2
C₂×#3168	2
C₂×#3108	2
C₂×#3105	2
C₂×#3103	2
C₂×#3102	2
C₂×#3101	2
C₂×#2965	2
C₂×C₄×#137	2
C₂×C₄×AGL(1,ℤ/8)	2
C₂²×C₄×SD₁₆	2

Subgroups — C2×#61445 #10576759

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#61445 #10576759