Subgroups — C₂×#61775 #10577949

Order 512.

6358 conjugacy classes of subgroups.

The subgroup lattice has 1853 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3492	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3540	C₂	1	1	yes	maximal, characteristic, complemented
3	#61775	C₂	1	32	yes	maximal, direct product factor
4	C₂×#3357	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#3356	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#3354	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3353	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3350	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3349	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#3348	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#3347	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#3327	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#3326	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#3323	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#3322	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#3316	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#3308	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#3314	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#3306	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#3244	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#3243	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#3198	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#3197	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#3197	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#3125	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#3124	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#3097	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#3096	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#3092	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#3092	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2978	C₂	1	1	yes	maximal, characteristic, complemented
33	#3540	—	2	8	no	—
34	#3540	C₂²	1	16	yes	complemented
35	C₂×H(3,𝔽₄)	—	2	1	no	—
36	C₂×#560	—	2	1	no	—
37	#3492	—	2	8	no	—
38	#3492	C₂²	1	16	yes	complemented
39	C₂×#559	—	2	1	no	—
40	C₂×#556	C₂²	1	1	yes	characteristic
41	C₂×#556	C₂²	1	1	yes	characteristic
42	C₂×#555	C₂²	1	1	yes	characteristic
43	C₂×#555	C₂²	1	1	yes	characteristic
44	C₂×#554	—	2	1	no	—
45	C₂×#554	C₂²	1	1	yes	characteristic
46	C₂×#554	C₂²	1	1	yes	characteristic, complemented
47	C₂×#553	—	2	1	no	—
48	C₂×#553	C₂²	1	1	yes	characteristic
49	C₂×#553	C₂²	1	1	yes	characteristic, complemented
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×#548	C₂²	1	1	yes	characteristic
55	C₂×#548	C₂²	1	1	yes	characteristic
56	C₂×#547	—	2	1	no	—
57	C₂×#547	C₂²	1	1	yes	characteristic
58	C₂×#547	C₂²	1	1	yes	characteristic, complemented
59	C₂×#546	C₂²	1	1	yes	characteristic
60	C₂×#546	C₂²	1	1	yes	characteristic
61	C₂×#544	C₂²	1	1	yes	characteristic, complemented
62	C₂×#542	—	2	1	no	—
63	C₂×#542	—	2	1	no	—
64	C₂×#542	C₂²	1	1	yes	characteristic
65	C₂×#542	C₂²	1	1	yes	characteristic
66	C₂×#539	—	2	1	no	—
67	C₂×#539	—	2	1	no	—
68	C₂×#538	—	2	1	no	—
69	C₂×#538	—	2	1	no	—
70	C₂×#537	C₂²	1	1	yes	characteristic
71	C₂×#536	C₂²	1	1	yes	characteristic
72	C₂×#535	C₂²	1	1	yes	characteristic
73	C₂×#525	—	2	1	no	—
74	C₂×#525	—	2	1	no	—
75	C₂×#525	C₂²	1	1	yes	characteristic
76	C₂×#525	C₂²	1	1	yes	characteristic
77	C₂×#525	C₂²	1	1	yes	characteristic
78	C₂×#525	C₂²	1	1	yes	characteristic, complemented
79	C₂×#520	C₂²	1	1	yes	characteristic
80	C₂×#520	C₂²	1	1	yes	characteristic, complemented
81	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	#3357	C₂²	1	16	yes	complemented
83	#3356	C₂²	1	16	yes	complemented
84	#3354	C₂²	1	16	yes	complemented
85	#3353	C₂²	1	16	yes	complemented
86	#3350	C₂²	1	16	yes	complemented
87	#3349	C₂²	1	16	yes	complemented
88	#3348	C₂²	1	16	yes	complemented
89	#3347	C₂²	1	16	yes	complemented
90	#3327	C₂²	1	16	yes	complemented
91	#3326	C₂²	1	16	yes	complemented
92	#3323	C₂²	1	16	yes	complemented
93	#3322	C₂²	1	16	yes	complemented
94	#3316	C₂²	1	16	yes	complemented
95	#3314	C₂²	1	16	yes	complemented
96	#3308	C₂²	1	16	yes	complemented
97	#3306	C₂²	1	16	yes	complemented
98	#3244	C₂²	1	16	yes	complemented
99	#3243	C₂²	1	16	yes	complemented
100	#3201	C₂²	1	16	yes	complemented
101	#3198	C₂²	1	16	yes	complemented
102	#3197	C₂²	1	16	yes	complemented
103	#3197	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×#500	C₂²	1	1	yes	characteristic, complemented
107	C₂×#498	C₂²	1	1	yes	characteristic, complemented
108	C₂×#489	C₂²	1	1	yes	characteristic, complemented
109	C₂×#489	C₂²	1	1	yes	characteristic, complemented
110	C₂×#488	C₂²	1	1	yes	characteristic, complemented
111	C₂×#488	C₂²	1	1	yes	characteristic, complemented
112	#3125	C₂²	1	16	yes	complemented
113	#3124	C₂²	1	16	yes	complemented
114	#3097	C₂²	1	16	yes	complemented
115	#3096	C₂²	1	16	yes	complemented
116	#3092	C₂²	1	16	yes	complemented
117	#3092	C₂²	1	16	yes	complemented
118	C₂×#484	C₂²	1	1	yes	characteristic, complemented
119	C₂×#484	C₂²	1	1	yes	characteristic, complemented
120	C₂×#484	C₂²	1	1	yes	characteristic, complemented
121	C₂×#484	C₂²	1	1	yes	characteristic, complemented
122	C₂×#484	C₂²	1	1	yes	characteristic, complemented
123	C₂×#481	C₂²	1	1	yes	characteristic
124	C₂×#481	C₂²	1	1	yes	characteristic
125	C₂×#481	C₂²	1	1	yes	characteristic
126	C₂×#481	C₂²	1	1	yes	characteristic
127	C₂×#481	C₂²	1	1	yes	characteristic, complemented
128	C₂×#485	C₂²	1	1	yes	characteristic, complemented
129	C₂×#485	C₂²	1	1	yes	characteristic, complemented
130	C₂×#485	C₂²	1	1	yes	characteristic, complemented
131	C₂×#485	C₂²	1	1	yes	characteristic, complemented
132	C₂×#485	C₂²	1	1	yes	characteristic, complemented
133	C₂×#485	C₂²	1	1	yes	characteristic, complemented
134	C₂×#485	C₂²	1	1	yes	characteristic, complemented
135	C₂×#485	C₂²	1	1	yes	characteristic, complemented
136	C₂×#482	C₂²	1	1	yes	characteristic
137	C₂×#482	C₂²	1	1	yes	characteristic
138	C₂×#482	C₂²	1	1	yes	characteristic, complemented
139	C₂×#482	C₂²	1	1	yes	characteristic, complemented
140	C₂×#482	C₂²	1	1	yes	characteristic, complemented
141	C₂×#482	C₂²	1	1	yes	characteristic, complemented
142	C₂×#482	C₂²	1	1	yes	characteristic, complemented
143	C₂×#482	C₂²	1	1	yes	characteristic, complemented
144	C₂×#483	C₂²	1	1	yes	characteristic, complemented
145	C₂×#483	C₂²	1	1	yes	characteristic, complemented
146	C₂×#483	C₂²	1	1	yes	characteristic, complemented
147	C₂×#483	C₂²	1	1	yes	characteristic, complemented
148	C₂×#483	C₂²	1	1	yes	characteristic, complemented
149	C₂×#480	C₂²	1	1	yes	characteristic
150	C₂×#480	C₂²	1	1	yes	characteristic
151	C₂×#480	C₂²	1	1	yes	characteristic
152	C₂×#480	C₂²	1	1	yes	characteristic
153	C₂×#480	C₂²	1	1	yes	characteristic, complemented
154	C₂×#479	C₂²	1	1	yes	characteristic, complemented
155	C₂×#479	C₂²	1	1	yes	characteristic, complemented
156	C₂×#477	C₂²	1	1	yes	characteristic, complemented
157	C₂×#477	C₂²	1	1	yes	characteristic, complemented
158	C₂×#475	C₂²	1	1	yes	characteristic, complemented
159	C₂×#475	C₂²	1	1	yes	characteristic, complemented
160	C₂×#478	C₂²	1	1	yes	characteristic, complemented
161	C₂×#478	C₂²	1	1	yes	characteristic, complemented
162	C₂×#476	C₂²	1	1	yes	characteristic, complemented
163	C₂×#476	C₂²	1	1	yes	characteristic, complemented
164	C₂×#474	C₂²	1	1	yes	characteristic, complemented
165	C₂×#474	C₂²	1	1	yes	characteristic, complemented
166	C₂×#470	C₂²	1	1	yes	characteristic, complemented
167	C₂×#470	C₂²	1	1	yes	characteristic, complemented
168	C₂×#470	C₂²	1	1	yes	characteristic, complemented
169	C₂×#469	C₂²	1	1	yes	characteristic
170	C₂×#469	C₂²	1	1	yes	characteristic
171	C₂×#469	C₂²	1	1	yes	characteristic, complemented
172	C₂×#468	C₂²	1	1	yes	characteristic
173	C₂×#468	C₂²	1	1	yes	characteristic
174	C₂×#468	C₂²	1	1	yes	characteristic, complemented
175	C₂×#468	C₂²	1	1	yes	characteristic, complemented
176	C₂×#468	C₂²	1	1	yes	characteristic, complemented
177	C₂×#468	C₂²	1	1	yes	characteristic, complemented
178	C₂×#467	C₂²	1	1	yes	characteristic, complemented
179	C₂×#466	C₂²	1	1	yes	characteristic, complemented
180	C₂×#465	C₂²	1	1	yes	characteristic, complemented
181	C₂×#465	C₂²	1	1	yes	characteristic, complemented
182	C₂×#464	C₂²	1	1	yes	characteristic, complemented
183	C₂×#464	C₂²	1	1	yes	characteristic, complemented
184	C₂×#463	C₂²	1	1	yes	characteristic, complemented
185	C₂×#463	C₂²	1	1	yes	characteristic, complemented
186	C₂×#452	C₂²	1	1	yes	characteristic
187	C₂×#452	C₂²	1	1	yes	characteristic
188	C₂×#452	C₂²	1	1	yes	characteristic, complemented
189	C₂×#452	C₂²	1	1	yes	characteristic, complemented
190	C₂×#449	C₂²	1	1	yes	characteristic
191	C₂×#449	C₂²	1	1	yes	characteristic
192	C₂×#449	C₂²	1	1	yes	characteristic
193	C₂×#449	C₂²	1	1	yes	characteristic
194	C₂×#451	C₂²	1	1	yes	characteristic, complemented
195	C₂×#448	C₂²	1	1	yes	characteristic, complemented
196	C₂×#450	C₂²	1	1	yes	characteristic, complemented
197	C₂×#447	C₂²	1	1	yes	characteristic, complemented
198	#2978	C₂²	1	16	yes	complemented
199	C₂×#442	C₂²	1	1	yes	characteristic, complemented
200	C₂×#441	C₂²	1	1	yes	characteristic, complemented
201	C₂×#440	C₂²	1	1	yes	characteristic, complemented
202	C₂×#440	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₄×Q₁₆	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×D₈	C₂²	1	1	yes	characteristic, complemented
207	C₂×#436	C₂²	1	1	yes	characteristic
208	C₂×#436	C₂²	1	1	yes	characteristic
209	C₂×#436	C₂²	1	1	yes	characteristic, complemented
210	C₂×#436	C₂²	1	1	yes	characteristic, complemented
211	C₂×#435	C₂²	1	1	yes	characteristic
212	C₂×#435	C₂²	1	1	yes	characteristic
213	C₂×#435	C₂²	1	1	yes	characteristic, complemented
214	C₂×#435	C₂²	1	1	yes	characteristic, complemented
215	C₂×#433	C₂²	1	1	yes	characteristic, complemented
216	C₂×#433	C₂²	1	1	yes	characteristic, complemented
217	C₂×#428	C₂²	1	1	yes	characteristic, complemented
218	C₂×#428	C₂²	1	1	yes	characteristic, complemented
219	C₂×#428	C₂²	1	1	yes	characteristic, complemented
220	C₂×#428	C₂²	1	1	yes	characteristic, complemented
221	C₂×#428	C₂²	1	1	yes	characteristic, complemented
222	C₂×#428	C₂²	1	1	yes	characteristic, complemented
223	C₂×#427	C₂²	1	1	yes	characteristic, complemented
224	C₂×#427	C₂²	1	1	yes	characteristic, complemented
225	C₂×#417	C₂²	1	1	yes	characteristic
226	C₂×#417	C₂²	1	1	yes	characteristic
227	C₂×#417	C₂²	1	1	yes	characteristic
228	C₂×#417	C₂²	1	1	yes	characteristic
229	C₂×#419	C₂²	1	1	yes	characteristic, complemented
230	C₂×#418	C₂²	1	1	yes	characteristic, complemented
231	C₂²×#103	C₂²	1	1	yes	characteristic, complemented
232	C₂²×#102	C₂²	1	1	yes	characteristic, complemented
233	C₂×#408	C₂²	1	1	yes	characteristic
234	C₂×#408	C₂²	1	1	yes	characteristic
235	C₂×#407	C₂²	1	1	yes	characteristic, complemented
236	C₂×#407	C₂²	1	1	yes	characteristic, complemented
237	C₂²×#41	—	2	1	no	—
238	C₂²×#41	—	2	1	no	—
239	C₂²×#41	C₂³	1	1	yes	characteristic
240	C₂²×#41	C₂³	1	1	yes	characteristic
241	C₂²×#41	C₂³	1	1	yes	characteristic
242	C₂²×#41	C₂³	1	1	yes	characteristic
243	C₂³×Q₈	C₂³	1	1	yes	characteristic
244	C₂³×D₄	C₂³	1	1	yes	characteristic
245	C₂⁴×C₄	—	2	1	no	—
246	C₂⁴×C₄	C₂³	1	1	yes	characteristic
247	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
248	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
249	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
252	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂²×D₈	C₂³	1	1	yes	characteristic
254	C₂²×D₈	C₂³	1	1	yes	characteristic
255	C₂²×M₁₆	C₂³	1	1	yes	characteristic
256	C₂²×M₁₆	C₂³	1	1	yes	characteristic
257	C₂²×M₁₆	C₂³	1	1	yes	characteristic
258	C₂²×M₁₆	C₂³	1	1	yes	characteristic
259	C₂²×M₁₆	C₂³	1	1	yes	characteristic
260	C₂²×M₁₆	C₂³	1	1	yes	characteristic
261	C₂³×C₈	C₂³	1	1	yes	characteristic
262	C₂³×C₈	C₂³	1	1	yes	characteristic
263	H(3,𝔽₄)	—	2	16	no	—
264	#560	—	2	16	no	—
265	#559	—	2	16	no	—
266	#556	—	2	4	no	—
267	#556	—	2	4	no	—
268	#556	C₂³	1	8	yes	—
269	#556	C₂³	1	8	yes	—
270	#555	—	2	4	no	—
271	#555	—	2	4	no	—
272	#555	C₂³	1	8	yes	—
273	#555	C₂³	1	8	yes	—
274	#554	—	2	16	no	—
275	#554	—	2	4	no	—
276	#554	—	2	4	no	—
277	#554	C₂³	1	8	yes	—
278	#554	C₂³	1	8	yes	complemented
279	#553	—	2	16	no	—
280	#553	—	2	4	no	—
281	#553	—	2	4	no	—
282	#553	C₂³	1	8	yes	—
283	#553	C₂³	1	8	yes	complemented
284	#552	—	2	16	no	—
285	#552	—	2	4	no	—
286	#552	—	2	4	no	—
287	#552	C₂³	1	8	yes	—
288	#552	C₂³	1	8	yes	complemented
289	#551	—	2	16	no	—
290	#548	—	2	4	no	—
291	#548	—	2	4	no	—
292	#548	C₂³	1	8	yes	—
293	#548	C₂³	1	8	yes	—
294	#547	—	2	16	no	—
295	#547	—	2	4	no	—
296	#547	—	2	4	no	—
297	#547	C₂³	1	8	yes	—
298	#547	C₂³	1	8	yes	complemented
299	#546	—	2	4	no	—
300	#546	—	2	4	no	—
301	#546	C₂³	1	8	yes	—
302	#546	C₂³	1	8	yes	—
303	#544	—	2	4	no	—
304	#544	C₂³	1	8	yes	complemented
305	#542	—	2	16	no	—
306	#542	—	2	16	no	—
307	#542	—	2	4	no	—
308	#542	—	2	4	no	—
309	#542	C₂³	1	8	yes	—
310	#542	C₂³	1	8	yes	—
311	#539	—	2	16	no	—
312	#539	—	2	16	no	—
313	#538	—	2	16	no	—
314	#538	—	2	16	no	—
315	#537	—	2	4	no	—
316	#537	C₂³	1	8	yes	—
317	#536	—	2	4	no	—
318	#536	C₂³	1	8	yes	—
319	#535	—	2	4	no	—
320	#535	C₂³	1	8	yes	—
321	C₂×C₄⋊Q₈	—	2	1	no	—
322	C₂×C₄⋊Q₈	—	2	1	no	—
323	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
328	C₂×#126	—	2	1	no	—
329	C₂×#126	—	2	1	no	—
330	C₂×#126	—	2	1	no	—
331	C₂×#126	—	2	1	no	—
332	C₂×#126	—	2	1	no	—
333	C₂×#126	—	2	1	no	—
334	C₂×#126	—	2	1	no	—
335	C₂×#126	—	2	1	no	—
336	C₂×#126	—	2	1	no	—
337	C₂×#126	—	2	1	no	—
338	C₂×#125	—	2	1	no	—
339	C₂×#125	—	2	1	no	—
340	C₂×#125	—	2	1	no	—
341	C₂×#125	—	2	1	no	—
342	C₂×#125	—	2	1	no	—
343	C₂×#125	C₂³	1	1	yes	characteristic
344	C₂×#125	C₂³	1	1	yes	characteristic
345	C₂×#124	—	2	1	no	—
346	C₂×#124	—	2	1	no	—
347	C₂×#124	—	2	1	no	—
348	C₂×#124	—	2	1	no	—
349	C₂×#124	—	2	1	no	—
350	C₂×#124	—	2	1	no	—
351	C₂×#124	—	2	1	no	—
352	C₂×#124	—	2	1	no	—
353	C₂×#124	—	2	1	no	—
354	C₂×#124	—	2	1	no	—
355	C₂×#124	—	2	1	no	—
356	C₂×#124	—	2	1	no	—
357	C₂×#124	C₂³	1	1	yes	characteristic
358	C₂×#124	C₂³	1	1	yes	characteristic
359	#525	—	2	4	no	—
360	#525	—	2	4	no	—
361	#525	—	2	4	no	—
362	#525	—	2	16	no	—
363	#525	—	2	16	no	—
364	#525	D₄	1	8	yes	—
365	#525	C₂³	1	8	yes	—
366	#525	C₂³	1	8	yes	—
367	#525	C₂³	1	8	yes	—
368	#525	C₂³	1	8	yes	complemented
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×#123	—	2	1	no	—
384	C₂×#123	—	2	1	no	—
385	C₂×#123	—	2	1	no	—
386	C₂×#123	D₄	1	1	yes	characteristic
387	C₂×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
396	C₂×C₂²⋊Q₈	—	2	1	no	—
397	C₂×C₂²⋊Q₈	—	2	1	no	—
398	C₂×C₂²⋊Q₈	—	2	1	no	—
399	C₂×C₂²⋊Q₈	—	2	1	no	—
400	C₂×C₂²⋊Q₈	—	2	1	no	—
401	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
402	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
403	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
404	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
405	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
406	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
407	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
408	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
409	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
410	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
411	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
412	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
413	C₂×#121	—	2	1	no	—
414	C₂×#121	—	2	1	no	—
415	C₂×#121	—	2	1	no	—
416	C₂×#121	—	2	1	no	—
417	C₂×#121	—	2	1	no	—
418	C₂×#121	—	2	1	no	—
419	C₂×#121	—	2	1	no	—
420	C₂×#121	—	2	1	no	—
421	C₂×#121	—	2	1	no	—
422	C₂×#121	—	2	1	no	—
423	C₂×#121	—	2	1	no	—
424	C₂×#121	D₄	1	1	yes	characteristic
425	C₂×#121	D₄	1	1	yes	characteristic
426	C₂×#121	C₂³	1	1	yes	characteristic
427	C₂×#121	C₂³	1	1	yes	characteristic
428	C₂×#121	C₂³	1	1	yes	characteristic
429	C₂×#121	C₂³	1	1	yes	characteristic
430	C₂×#121	C₂³	1	1	yes	characteristic
431	C₂×#121	C₂³	1	1	yes	characteristic
432	C₂×#121	C₂³	1	1	yes	characteristic
433	C₂×#121	C₂³	1	1	yes	characteristic
434	C₂×#121	C₂³	1	1	yes	characteristic
435	C₂×#121	C₂³	1	1	yes	characteristic
436	C₂×#120	—	2	1	no	—
437	C₂×#120	—	2	1	no	—
438	C₂×#120	—	2	1	no	—
439	C₂×#120	—	2	1	no	—
440	C₂×#120	—	2	1	no	—
441	C₂×#120	—	2	1	no	—
442	C₂×#120	—	2	1	no	—
443	C₂×#120	D₄	1	1	yes	characteristic
444	C₂×#120	D₄	1	1	yes	characteristic
445	#520	—	2	4	no	—
446	#520	—	2	4	no	—
447	#520	C₂³	1	8	yes	—
448	#520	C₂³	1	8	yes	complemented
449	C₂×C₄×Q₈	—	2	1	no	—
450	C₂×C₄×Q₈	—	2	1	no	—
451	C₂×C₄×Q₈	—	2	1	no	—
452	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
453	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
454	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
455	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
456	C₂×C₄×D₄	—	2	1	no	—
457	C₂×C₄×D₄	—	2	1	no	—
458	C₂×C₄×D₄	—	2	1	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	1	no	—
470	C₂×C₄×D₄	—	2	1	no	—
471	C₂×C₄×D₄	—	2	1	no	—
472	C₂×C₄×D₄	—	2	1	no	—
473	C₂×C₄×D₄	C₂³	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	1	yes	characteristic
479	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
480	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
481	C₂×#117	—	2	1	no	—
482	C₂×#117	—	2	1	no	—
483	C₂×#117	—	2	1	no	—
484	C₂×#117	—	2	1	no	—
485	C₂×#117	—	2	1	no	—
486	C₂×#117	C₂³	1	1	yes	characteristic
487	C₂×#117	C₂³	1	1	yes	characteristic
488	C₂×#117	C₂³	1	1	yes	characteristic
489	C₂×#117	C₂³	1	1	yes	characteristic
490	C₂×#117	C₂³	1	1	yes	characteristic
491	C₂×#117	C₂³	1	1	yes	characteristic
492	C₂×#117	C₂³	1	1	yes	characteristic
493	C₂×#117	C₂³	1	1	yes	characteristic
494	C₂²×C₄⋊C₄	—	2	1	no	—
495	C₂²×C₄⋊C₄	—	2	1	no	—
496	C₂²×C₄⋊C₄	—	2	1	no	—
497	C₂²×C₄⋊C₄	—	2	4	no	—
498	C₂²×C₄⋊C₄	—	2	1	no	—
499	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
500	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
501	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
502	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
503	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
504	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
505	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
506	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
507	C₂²×C₄⋊C₄	C₂³	1	8	yes	complemented
508	C₂²×C₂²⋊C₄	—	2	1	no	—
509	C₂²×C₂²⋊C₄	—	2	1	no	—
510	#501	C₂³	1	8	yes	complemented
511	#501	C₂³	1	8	yes	complemented
512	#500	C₂³	1	8	yes	complemented
513	#498	C₂³	1	8	yes	complemented
514	#489	C₂³	1	8	yes	complemented
515	#489	C₂³	1	8	yes	complemented
516	#488	C₂³	1	8	yes	complemented
517	#488	C₂³	1	8	yes	complemented
518	#485	C₂³	1	8	yes	complemented
519	#485	C₂³	1	8	yes	complemented
520	#485	C₂³	1	8	yes	complemented
521	#485	C₂³	1	8	yes	complemented
522	#485	C₂³	1	8	yes	complemented
523	#485	C₂³	1	8	yes	complemented
524	#485	C₂³	1	8	yes	complemented
525	#485	C₂³	1	8	yes	complemented
526	#484	C₂³	1	8	yes	complemented
527	#484	C₂³	1	8	yes	complemented
528	#484	C₂³	1	8	yes	complemented
529	#484	C₂³	1	8	yes	complemented
530	#484	C₂³	1	8	yes	complemented
531	#483	C₂³	1	8	yes	complemented
532	#483	C₂³	1	8	yes	complemented
533	#483	C₂³	1	8	yes	complemented
534	#483	C₂³	1	8	yes	complemented
535	#483	C₂³	1	8	yes	complemented
536	#482	C₂³	1	8	yes	—
537	#482	C₂³	1	8	yes	—
538	#482	C₂³	1	8	yes	complemented
539	#482	C₂³	1	8	yes	complemented
540	#482	C₂³	1	8	yes	complemented
541	#482	C₂³	1	8	yes	complemented
542	#482	C₂³	1	8	yes	complemented
543	#482	C₂³	1	8	yes	complemented
544	#481	C₂³	1	8	yes	—
545	#481	C₂³	1	8	yes	—
546	#481	C₂³	1	8	yes	—
547	#481	C₂³	1	8	yes	—
548	#481	C₂³	1	8	yes	complemented
549	#480	C₂³	1	8	yes	—
550	#480	C₂³	1	8	yes	—
551	#480	C₂³	1	8	yes	—
552	#480	C₂³	1	8	yes	—
553	#480	C₂³	1	8	yes	complemented
554	#479	C₂³	1	8	yes	complemented
555	#479	C₂³	1	8	yes	complemented
556	#478	C₂³	1	8	yes	complemented
557	#478	C₂³	1	8	yes	complemented
558	#477	C₂³	1	8	yes	complemented
559	#477	C₂³	1	8	yes	complemented
560	#476	C₂³	1	8	yes	complemented
561	#476	C₂³	1	8	yes	complemented
562	#475	C₂³	1	8	yes	complemented
563	#475	C₂³	1	8	yes	complemented
564	#474	C₂³	1	8	yes	complemented
565	#474	C₂³	1	8	yes	complemented
566	#470	C₂³	1	8	yes	complemented
567	#470	C₂³	1	8	yes	complemented
568	#470	C₂³	1	8	yes	complemented
569	#469	C₂³	1	8	yes	—
570	#469	C₂³	1	8	yes	—
571	#469	C₂³	1	8	yes	complemented
572	#468	C₂³	1	8	yes	—
573	#468	C₂³	1	8	yes	—
574	#468	C₂³	1	8	yes	complemented
575	#468	C₂³	1	8	yes	complemented
576	#468	C₂³	1	8	yes	complemented
577	#468	C₂³	1	8	yes	complemented
578	#467	C₂³	1	8	yes	complemented
579	#466	C₂³	1	8	yes	complemented
580	#465	C₂³	1	8	yes	complemented
581	#465	C₂³	1	8	yes	complemented
582	#464	C₂³	1	8	yes	complemented
583	#464	C₂³	1	8	yes	complemented
584	#463	C₂³	1	8	yes	complemented
585	#463	C₂³	1	8	yes	complemented
586	#452	C₂³	1	8	yes	—
587	#452	C₂³	1	8	yes	—
588	#452	C₂³	1	8	yes	complemented
589	#452	C₂³	1	8	yes	complemented
590	#451	C₂³	1	8	yes	complemented
591	#450	C₂³	1	8	yes	complemented
592	#449	C₂³	1	8	yes	—
593	#449	C₂³	1	8	yes	—
594	#449	C₂³	1	8	yes	—
595	#449	C₂³	1	8	yes	—
596	#448	C₂³	1	8	yes	complemented
597	#447	C₂³	1	8	yes	complemented
598	#442	C₂³	1	8	yes	complemented
599	#441	C₂³	1	8	yes	complemented
600	#440	C₂³	1	8	yes	complemented
601	#440	C₂³	1	8	yes	complemented
602	C₄×Q₁₆	C₂³	1	8	yes	complemented
603	C₄×SD₁₆	C₂³	1	8	yes	complemented
604	C₄×SD₁₆	C₂³	1	8	yes	complemented
605	C₄×D₈	C₂³	1	8	yes	complemented
606	#436	C₂³	1	8	yes	—
607	#436	C₂³	1	8	yes	—
608	#436	C₂³	1	8	yes	complemented
609	#436	C₂³	1	8	yes	complemented
610	#435	C₂³	1	8	yes	—
611	#435	C₂³	1	8	yes	—
612	#435	C₂³	1	8	yes	complemented
613	#435	C₂³	1	8	yes	complemented
614	#433	C₂³	1	8	yes	complemented
615	#433	C₂³	1	8	yes	complemented
616	#428	C₂³	1	8	yes	complemented
617	#428	C₂³	1	8	yes	complemented
618	#428	C₂³	1	8	yes	complemented
619	#428	C₂³	1	8	yes	complemented
620	#428	C₂³	1	8	yes	complemented
621	#428	C₂³	1	8	yes	complemented
622	#427	C₂³	1	8	yes	complemented
623	#427	C₂³	1	8	yes	complemented
624	C₂×#107	C₂³	1	1	yes	characteristic
625	C₂×#107	C₂³	1	1	yes	characteristic
626	C₂×#107	C₂³	1	1	yes	characteristic
627	C₂×#107	C₂³	1	1	yes	characteristic
628	C₂×#107	C₂³	1	1	yes	characteristic
629	C₂×#107	C₂³	1	1	yes	characteristic
630	C₂×#107	C₂³	1	1	yes	characteristic
631	C₂×#107	C₂³	1	1	yes	characteristic
632	C₂×#107	C₂³	1	1	yes	characteristic
633	C₂×#107	C₂³	1	1	yes	characteristic
634	C₂×#107	C₂³	1	1	yes	characteristic
635	C₂×#107	C₂³	1	1	yes	characteristic
636	C₂×#106	C₂³	1	1	yes	characteristic
637	C₂×#106	C₂³	1	1	yes	characteristic
638	C₂×#106	C₂³	1	1	yes	characteristic
639	C₂×#106	C₂³	1	1	yes	characteristic
640	C₂×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
649	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
650	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
651	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
652	#419	C₂³	1	8	yes	complemented
653	#418	C₂³	1	8	yes	complemented
654	#417	C₂³	1	8	yes	—
655	#417	C₂³	1	8	yes	—
656	#417	C₂³	1	8	yes	—
657	#417	C₂³	1	8	yes	—
658	C₂×#103	C₂³	1	1	yes	characteristic
659	C₂×#103	C₂³	1	1	yes	characteristic
660	C₂×#103	C₂³	1	1	yes	characteristic
661	C₂×#103	C₂³	1	1	yes	characteristic
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	8	yes	complemented
675	C₂×#102	C₂³	1	1	yes	characteristic
676	C₂×#102	C₂³	1	1	yes	characteristic
677	C₂×#102	C₂³	1	1	yes	characteristic
678	C₂×#102	C₂³	1	1	yes	characteristic
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	8	yes	complemented
692	#408	C₂³	1	8	yes	—
693	#408	C₂³	1	8	yes	—
694	#407	C₂³	1	8	yes	complemented
695	#407	C₂³	1	8	yes	complemented
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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
703	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
704	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
705	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
706	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
707	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
708	C₂×#97	C₂³	1	1	yes	characteristic
709	C₂×#97	C₂³	1	1	yes	characteristic
710	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
711	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
712	C₂⁵	—	2	1	no	—
713	C₂⁵	C₂×D₄	1	1	yes	characteristic
714	C₂×#41	—	2	8	no	—
715	C₂×#41	—	2	8	no	—
716	C₂×#41	—	2	2	no	—
717	C₂×#41	—	2	2	no	—
718	C₂×#41	—	2	2	no	—
719	C₂×#41	—	4	2	no	—
720	C₂×#41	—	4	2	no	—
721	C₂×#41	—	4	2	no	—
722	C₂×#41	—	4	2	no	—
723	C₂×#41	—	4	2	no	—
724	C₂×#41	—	4	2	no	—
725	C₂×#41	—	4	2	no	—
726	C₂×#41	—	4	2	no	—
727	C₂×#41	—	8	4	no	—
728	C₂×#41	—	8	4	no	—
729	C₂×#41	C₂×D₄	1	4	yes	—
730	C₂×#41	C₂⁴	1	4	yes	—
731	C₂×#41	C₂⁴	1	4	yes	—
732	C₂×#41	C₂⁴	1	4	yes	—
733	C₂×#41	C₂⁴	1	4	yes	—
734	C₂²×Q₈	—	2	1	no	—
735	C₂²×Q₈	—	2	1	no	—
736	C₂²×Q₈	—	2	1	no	—
737	C₂²×Q₈	—	2	1	no	—
738	C₂²×Q₈	—	2	1	no	—
739	C₂²×Q₈	—	2	2	no	—
740	C₂²×Q₈	—	4	2	no	—
741	C₂²×Q₈	—	4	2	no	—
742	C₂²×Q₈	C₂×D₄	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	1	yes	characteristic
746	C₂²×Q₈	C₂⁴	1	4	yes	—
747	C₂²×D₄	—	2	1	no	—
748	C₂²×D₄	—	2	1	no	—
749	C₂²×D₄	—	2	1	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	1	no	—
759	C₂²×D₄	—	2	1	no	—
760	C₂²×D₄	—	2	1	no	—
761	C₂²×D₄	—	2	2	no	—
762	C₂²×D₄	—	4	2	no	—
763	C₂²×D₄	—	4	2	no	—
764	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
765	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
766	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
767	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
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	C₂³×C₄	—	2	1	no	—
776	C₂³×C₄	—	2	1	no	—
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	8	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	—	4	2	no	—
793	C₂³×C₄	—	4	2	no	—
794	C₂³×C₄	—	8	4	no	—
795	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
796	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
797	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
798	C₂³×C₄	C₂×D₄	1	4	yes	—
799	C₂³×C₄	C₂⁴	1	1	yes	characteristic
800	C₂³×C₄	C₂⁴	1	1	yes	characteristic
801	C₂³×C₄	C₂⁴	1	1	yes	characteristic
802	C₂³×C₄	C₂⁴	1	1	yes	characteristic
803	C₂³×C₄	C₂⁴	1	1	yes	characteristic
804	C₂³×C₄	C₂⁴	1	4	yes	—
805	C₂×Q₁₆	—	4	2	no	—
806	C₂×Q₁₆	—	4	2	no	—
807	C₂×Q₁₆	C₂⁴	1	4	yes	—
808	C₂×Q₁₆	C₂⁴	1	4	yes	—
809	C₂×SD₁₆	—	4	2	no	—
810	C₂×SD₁₆	—	4	2	no	—
811	C₂×SD₁₆	—	4	2	no	—
812	C₂×SD₁₆	—	4	2	no	—
813	C₂×SD₁₆	C₂⁴	1	4	yes	—
814	C₂×SD₁₆	C₂⁴	1	4	yes	—
815	C₂×SD₁₆	C₂⁴	1	4	yes	—
816	C₂×SD₁₆	C₂⁴	1	4	yes	—
817	C₂×D₈	—	4	2	no	—
818	C₂×D₈	—	4	2	no	—
819	C₂×D₈	C₂⁴	1	4	yes	—
820	C₂×D₈	C₂⁴	1	4	yes	—
821	C₂×M₁₆	—	4	2	no	—
822	C₂×M₁₆	—	4	2	no	—
823	C₂×M₁₆	—	4	2	no	—
824	C₂×M₁₆	—	4	2	no	—
825	C₂×M₁₆	—	4	2	no	—
826	C₂×M₁₆	—	4	2	no	—
827	C₂×M₁₆	C₂⁴	1	4	yes	—
828	C₂×M₁₆	C₂⁴	1	4	yes	—
829	C₂×M₁₆	C₂⁴	1	4	yes	—
830	C₂×M₁₆	C₂⁴	1	4	yes	—
831	C₂×M₁₆	C₂⁴	1	4	yes	—
832	C₂×M₁₆	C₂⁴	1	4	yes	—
833	C₂²×C₈	—	4	2	no	—
834	C₂²×C₈	—	4	2	no	—
835	C₂²×C₈	C₂⁴	1	1	yes	characteristic
836	C₂²×C₈	C₂⁴	1	1	yes	characteristic
837	C₂²×C₈	C₂⁴	1	1	yes	characteristic
838	C₂²×C₈	C₂⁴	1	1	yes	characteristic
839	C₂²×C₈	C₂⁴	1	1	yes	characteristic
840	C₂²×C₈	C₂⁴	1	1	yes	characteristic
841	C₂²×C₈	C₂⁴	1	1	yes	characteristic
842	C₂²×C₈	C₂⁴	1	1	yes	characteristic
843	C₂²×C₈	C₂⁴	1	4	yes	—
844	C₂²×C₈	C₂⁴	1	4	yes	—
845	C₄⋊Q₈	—	2	8	no	—
846	C₄⋊Q₈	—	2	8	no	—
847	C₄⋊Q₈	—	2	2	no	—
848	C₄⋊Q₈	—	2	2	no	—
849	C₄⋊Q₈	—	2	2	no	—
850	C₄⋊Q₈	—	2	2	no	—
851	C₄⋊Q₈	C₂⁴	1	4	yes	—
852	C₄⋊Q₈	C₂⁴	1	4	yes	—
853	C₄⋊Q₈	C₂⁴	1	4	yes	—
854	C₄⋊Q₈	C₂⁴	1	4	yes	—
855	#127	—	2	8	no	—
856	#126	—	2	8	no	—
857	#126	—	2	8	no	—
858	#126	—	2	8	no	—
859	#126	—	2	8	no	—
860	#126	—	2	8	no	—
861	#126	—	2	8	no	—
862	#126	—	2	8	no	—
863	#126	—	2	8	no	—
864	#126	—	2	8	no	—
865	#126	—	2	8	no	—
866	#125	—	2	8	no	—
867	#125	—	2	8	no	—
868	#125	—	2	8	no	—
869	#125	—	2	8	no	—
870	#125	—	2	8	no	—
871	#125	—	2	2	no	—
872	#125	—	2	2	no	—
873	#125	C₂⁴	1	4	yes	—
874	#125	C₂⁴	1	4	yes	—
875	#124	—	2	8	no	—
876	#124	—	2	8	no	—
877	#124	—	2	8	no	—
878	#124	—	2	8	no	—
879	#124	—	2	8	no	—
880	#124	—	2	8	no	—
881	#124	—	2	8	no	—
882	#124	—	2	8	no	—
883	#124	—	2	8	no	—
884	#124	—	2	8	no	—
885	#124	—	2	8	no	—
886	#124	—	2	8	no	—
887	#124	—	2	2	no	—
888	#124	—	2	2	no	—
889	#124	C₂⁴	1	4	yes	—
890	#124	C₂⁴	1	4	yes	—
891	#123	—	2	8	no	—
892	#123	—	2	8	no	—
893	#123	—	2	8	no	—
894	#123	—	2	8	no	—
895	#123	—	2	8	no	—
896	#123	—	2	8	no	—
897	#123	—	2	8	no	—
898	#123	—	2	8	no	—
899	#123	—	2	8	no	—
900	#123	—	2	8	no	—
901	#123	—	2	8	no	—
902	#123	—	2	8	no	—
903	#123	—	2	8	no	—
904	#123	—	2	8	no	—
905	#123	—	2	8	no	—
906	#123	—	2	8	no	—
907	#123	—	2	8	no	—
908	#123	C₂×D₄	1	8	yes	—
909	#123	C₂×D₄	1	8	yes	—
910	C₂²⋊Q₈	—	2	8	no	—
911	C₂²⋊Q₈	—	2	2	no	—
912	C₂²⋊Q₈	—	2	2	no	—
913	C₂²⋊Q₈	—	2	2	no	—
914	C₂²⋊Q₈	—	2	2	no	—
915	C₂²⋊Q₈	—	2	2	no	—
916	C₂²⋊Q₈	—	2	2	no	—
917	C₂²⋊Q₈	—	2	2	no	—
918	C₂²⋊Q₈	—	2	2	no	—
919	C₂²⋊Q₈	—	2	2	no	—
920	C₂²⋊Q₈	—	2	2	no	—
921	C₂²⋊Q₈	—	2	8	no	—
922	C₂²⋊Q₈	—	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	8	no	—
927	C₂²⋊Q₈	—	2	8	no	—
928	C₂²⋊Q₈	—	2	8	no	—
929	C₂²⋊Q₈	—	2	8	no	—
930	C₂²⋊Q₈	—	2	8	no	—
931	C₂²⋊Q₈	—	2	8	no	—
932	C₂²⋊Q₈	—	2	8	no	—
933	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
934	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
935	C₂²⋊Q₈	C₂⁴	1	4	yes	—
936	C₂²⋊Q₈	C₂⁴	1	4	yes	—
937	C₂²⋊Q₈	C₂⁴	1	4	yes	—
938	C₂²⋊Q₈	C₂⁴	1	4	yes	—
939	C₂²⋊Q₈	C₂⁴	1	4	yes	—
940	C₂²⋊Q₈	C₂⁴	1	4	yes	—
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	#121	—	2	8	no	—
946	#121	—	2	8	no	—
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	8	no	—
953	#121	—	2	8	no	—
954	#121	—	2	2	no	—
955	#121	—	2	2	no	—
956	#121	—	2	2	no	—
957	#121	—	2	2	no	—
958	#121	—	2	2	no	—
959	#121	—	2	2	no	—
960	#121	—	2	2	no	—
961	#121	—	2	2	no	—
962	#121	—	2	2	no	—
963	#121	—	2	2	no	—
964	#121	—	2	8	no	—
965	#121	—	2	8	no	—
966	#121	C₂×D₄	1	8	yes	—
967	#121	C₂×D₄	1	8	yes	—
968	#121	C₂⁴	1	4	yes	—
969	#121	C₂⁴	1	4	yes	—
970	#121	C₂⁴	1	4	yes	—
971	#121	C₂⁴	1	4	yes	—
972	#121	C₂⁴	1	4	yes	—
973	#121	C₂⁴	1	4	yes	—
974	#121	C₂⁴	1	4	yes	—
975	#121	C₂⁴	1	4	yes	—
976	#121	C₂⁴	1	4	yes	—
977	#121	C₂⁴	1	4	yes	—
978	#120	—	2	8	no	—
979	#120	—	2	8	no	—
980	#120	—	2	8	no	—
981	#120	—	2	8	no	—
982	#120	—	2	8	no	—
983	#120	—	2	8	no	—
984	#120	—	2	8	no	—
985	#120	C₂×D₄	1	8	yes	—
986	#120	C₂×D₄	1	8	yes	—
987	C₄×Q₈	—	2	8	no	—
988	C₄×Q₈	—	2	8	no	—
989	C₄×Q₈	—	2	8	no	—
990	C₄×Q₈	—	2	2	no	—
991	C₄×Q₈	—	2	2	no	—
992	C₄×Q₈	—	2	2	no	—
993	C₄×Q₈	—	2	2	no	—
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×D₄	—	2	8	no	—
999	C₄×D₄	—	2	8	no	—
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	2	no	—
1017	C₄×D₄	—	2	2	no	—
1018	C₄×D₄	—	2	2	no	—
1019	C₄×D₄	C₂×D₄	1	4	yes	—
1020	C₄×D₄	C₂×D₄	1	4	yes	—
1021	C₄×D₄	C₂×D₄	1	4	yes	—
1022	C₄×D₄	C₂×D₄	1	4	yes	—
1023	C₄×D₄	C₂⁴	1	4	yes	—
1024	C₄×D₄	C₂⁴	1	4	yes	—
1025	C₄×D₄	C₂⁴	1	4	yes	—
1026	C₄×D₄	C₂⁴	1	4	yes	—
1027	C₄×D₄	C₂⁴	1	4	yes	—
1028	C₄×D₄	C₂⁴	1	4	yes	—
1029	C₄×D₄	C₂⁴	1	4	yes	—
1030	C₄×D₄	C₂⁴	1	4	yes	—
1031	#117	—	2	2	no	—
1032	#117	—	2	2	no	—
1033	#117	—	2	2	no	—
1034	#117	—	2	2	no	—
1035	#117	—	2	2	no	—
1036	#117	—	2	2	no	—
1037	#117	—	2	2	no	—
1038	#117	—	2	8	no	—
1039	#117	—	2	8	no	—
1040	#117	—	2	8	no	—
1041	#117	—	2	8	no	—
1042	#117	—	2	8	no	—
1043	#117	C₂×D₄	1	4	yes	—
1044	#117	C₂⁴	1	4	yes	—
1045	#117	C₂⁴	1	4	yes	—
1046	#117	C₂⁴	1	4	yes	—
1047	#117	C₂⁴	1	4	yes	—
1048	#117	C₂⁴	1	4	yes	—
1049	#117	C₂⁴	1	4	yes	—
1050	#117	C₂⁴	1	4	yes	—
1051	#117	C₂⁴	1	4	yes	—
1052	C₂×C₄⋊C₄	—	2	1	no	—
1053	C₂×C₄⋊C₄	—	2	2	no	—
1054	C₂×C₄⋊C₄	—	2	1	no	—
1055	C₂×C₄⋊C₄	—	2	1	no	—
1056	C₂×C₄⋊C₄	—	2	1	no	—
1057	C₂×C₄⋊C₄	—	2	1	no	—
1058	C₂×C₄⋊C₄	—	2	1	no	—
1059	C₂×C₄⋊C₄	—	2	2	no	—
1060	C₂×C₄⋊C₄	—	2	2	no	—
1061	C₂×C₄⋊C₄	—	2	2	no	—
1062	C₂×C₄⋊C₄	—	2	2	no	—
1063	C₂×C₄⋊C₄	—	2	2	no	—
1064	C₂×C₄⋊C₄	—	2	8	no	—
1065	C₂×C₄⋊C₄	—	2	8	no	—
1066	C₂×C₄⋊C₄	—	2	8	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	2	no	—
1072	C₂×C₄⋊C₄	—	2	2	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	1	no	—
1077	C₂×C₄⋊C₄	—	2	1	no	—
1078	C₂×C₄⋊C₄	—	2	1	no	—
1079	C₂×C₄⋊C₄	—	2	1	no	—
1080	C₂×C₄⋊C₄	—	2	1	no	—
1081	C₂×C₄⋊C₄	—	2	1	no	—
1082	C₂×C₄⋊C₄	—	2	1	no	—
1083	C₂×C₄⋊C₄	—	2	1	no	—
1084	C₂×C₄⋊C₄	—	2	1	no	—
1085	C₂×C₄⋊C₄	—	2	1	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	8	no	—
1094	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1098	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1105	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1106	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1107	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1108	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1109	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1110	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1111	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1112	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1113	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1116	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	—	2	1	no	—
1119	C₂×C₂²⋊C₄	—	2	1	no	—
1120	C₂×C₂²⋊C₄	—	2	1	no	—
1121	C₂×C₂²⋊C₄	—	2	1	no	—
1122	C₂×C₂²⋊C₄	—	2	1	no	—
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	1	no	—
1143	C₂×C₂²⋊C₄	—	2	1	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	8	no	—
1154	C₂×C₂²⋊C₄	—	2	8	no	—
1155	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	1	no	—
1174	C₂×C₄²	—	2	1	no	—
1175	C₂×C₄²	—	2	1	no	—
1176	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1177	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1178	#107	C₂⁴	1	4	yes	—
1179	#107	C₂⁴	1	4	yes	—
1180	#107	C₂⁴	1	4	yes	—
1181	#107	C₂⁴	1	4	yes	—
1182	#107	C₂⁴	1	4	yes	—
1183	#107	C₂⁴	1	4	yes	—
1184	#107	C₂⁴	1	4	yes	—
1185	#107	C₂⁴	1	4	yes	—
1186	#107	C₂⁴	1	4	yes	—
1187	#107	C₂⁴	1	4	yes	—
1188	#107	C₂⁴	1	4	yes	—
1189	#107	C₂⁴	1	4	yes	—
1190	#106	C₂⁴	1	4	yes	—
1191	#106	C₂⁴	1	4	yes	—
1192	#106	C₂⁴	1	4	yes	—
1193	#106	C₂⁴	1	4	yes	—
1194	#106	C₂⁴	1	4	yes	—
1195	#106	C₂⁴	1	4	yes	—
1196	#106	C₂⁴	1	4	yes	—
1197	#106	C₂⁴	1	4	yes	—
1198	#106	C₂⁴	1	4	yes	—
1199	#106	C₂⁴	1	4	yes	—
1200	#106	C₂⁴	1	4	yes	—
1201	#106	C₂⁴	1	4	yes	—
1202	C₄⋊C₈	C₂⁴	1	4	yes	—
1203	C₄⋊C₈	C₂⁴	1	4	yes	—
1204	C₄⋊C₈	C₂⁴	1	4	yes	—
1205	C₄⋊C₈	C₂⁴	1	4	yes	—
1206	#103	C₂⁴	1	4	yes	—
1207	#103	C₂⁴	1	4	yes	—
1208	#103	C₂⁴	1	4	yes	—
1209	#103	C₂⁴	1	4	yes	—
1210	#103	C₂⁴	1	4	yes	—
1211	#103	C₂⁴	1	4	yes	—
1212	#103	C₂⁴	1	4	yes	—
1213	#103	C₂⁴	1	4	yes	—
1214	#103	C₂⁴	1	4	yes	—
1215	#103	C₂⁴	1	4	yes	—
1216	#103	C₂⁴	1	4	yes	—
1217	#103	C₂⁴	1	4	yes	—
1218	#103	C₂⁴	1	4	yes	—
1219	#103	C₂⁴	1	4	yes	—
1220	#103	C₂⁴	1	4	yes	—
1221	#103	C₂⁴	1	4	yes	—
1222	#102	C₂⁴	1	4	yes	—
1223	#102	C₂⁴	1	4	yes	—
1224	#102	C₂⁴	1	4	yes	—
1225	#102	C₂⁴	1	4	yes	—
1226	#102	C₂⁴	1	4	yes	—
1227	#102	C₂⁴	1	4	yes	—
1228	#102	C₂⁴	1	4	yes	—
1229	#102	C₂⁴	1	4	yes	—
1230	#102	C₂⁴	1	4	yes	—
1231	#102	C₂⁴	1	4	yes	—
1232	#102	C₂⁴	1	4	yes	—
1233	#102	C₂⁴	1	4	yes	—
1234	#102	C₂⁴	1	4	yes	—
1235	#102	C₂⁴	1	4	yes	—
1236	#102	C₂⁴	1	4	yes	—
1237	#102	C₂⁴	1	4	yes	—
1238	C₂²⋊C₈	C₂⁴	1	4	yes	—
1239	C₂²⋊C₈	C₂⁴	1	4	yes	—
1240	C₂²⋊C₈	C₂⁴	1	4	yes	—
1241	C₂²⋊C₈	C₂⁴	1	4	yes	—
1242	C₂²⋊C₈	C₂⁴	1	4	yes	—
1243	C₂²⋊C₈	C₂⁴	1	4	yes	—
1244	C₂²⋊C₈	C₂⁴	1	4	yes	—
1245	C₂²⋊C₈	C₂⁴	1	4	yes	—
1246	C₂²⋊C₈	C₂⁴	1	4	yes	—
1247	C₂²⋊C₈	C₂⁴	1	4	yes	—
1248	C₂²⋊C₈	C₂⁴	1	4	yes	—
1249	C₂²⋊C₈	C₂⁴	1	4	yes	—
1250	#97	C₂⁴	1	4	yes	—
1251	#97	C₂⁴	1	4	yes	—
1252	C₄×C₈	C₂⁴	1	4	yes	—
1253	C₄×C₈	C₂⁴	1	4	yes	—
1254	C₂⁴	—	2	1	no	—
1255	C₂⁴	—	2	1	no	—
1256	C₂⁴	—	2	1	no	—
1257	C₂⁴	—	2	4	no	—
1258	C₂⁴	—	4	2	no	—
1259	C₂⁴	—	4	2	no	—
1260	C₂⁴	—	4	2	no	—
1261	C₂⁴	—	8	2	no	—
1262	C₂⁴	—	8	2	no	—
1263	C₂⁴	—	8	2	no	—
1264	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1265	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1266	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1267	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1268	C₂⁴	C₂²×D₄	1	1	yes	characteristic
1269	C₂⁴	C₂²×D₄	1	4	yes	—
1270	#41	—	4	8	no	—
1271	#41	—	4	4	no	—
1272	#41	—	4	4	no	—
1273	#41	—	4	4	no	—
1274	#41	—	4	4	no	—
1275	#41	—	4	8	no	—
1276	#41	—	4	4	no	—
1277	#41	—	4	4	no	—
1278	#41	—	4	4	no	—
1279	#41	—	4	4	no	—
1280	#41	—	8	4	no	—
1281	#41	—	8	4	no	—
1282	#41	—	8	16	no	—
1283	#41	—	8	16	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	2	1	no	—
1287	C₂×Q₈	—	2	4	no	—
1288	C₂×Q₈	—	2	4	no	—
1289	C₂×Q₈	—	2	4	no	—
1290	C₂×Q₈	—	2	4	no	—
1291	C₂×Q₈	—	2	4	no	—
1292	C₂×Q₈	—	2	2	no	—
1293	C₂×Q₈	—	2	2	no	—
1294	C₂×Q₈	—	2	2	no	—
1295	C₂×Q₈	—	2	2	no	—
1296	C₂×Q₈	—	2	2	no	—
1297	C₂×Q₈	—	2	2	no	—
1298	C₂×Q₈	—	4	2	no	—
1299	C₂×Q₈	—	4	4	no	—
1300	C₂×Q₈	—	4	4	no	—
1301	C₂×Q₈	—	8	2	no	—
1302	C₂×Q₈	—	8	2	no	—
1303	C₂×Q₈	—	8	2	no	—
1304	C₂×Q₈	—	8	2	no	—
1305	C₂×Q₈	—	8	2	no	—
1306	C₂×Q₈	—	8	4	no	—
1307	C₂×Q₈	C₂²×D₄	1	4	yes	—
1308	C₂×Q₈	C₂⁵	1	2	yes	—
1309	C₂×Q₈	C₂⁵	1	2	yes	—
1310	C₂×Q₈	C₂⁵	1	2	yes	—
1311	C₂×D₄	—	2	4	no	—
1312	C₂×D₄	—	2	4	no	—
1313	C₂×D₄	—	2	4	no	—
1314	C₂×D₄	—	2	4	no	—
1315	C₂×D₄	—	2	4	no	—
1316	C₂×D₄	—	2	4	no	—
1317	C₂×D₄	—	2	4	no	—
1318	C₂×D₄	—	2	4	no	—
1319	C₂×D₄	—	2	4	no	—
1320	C₂×D₄	—	2	4	no	—
1321	C₂×D₄	—	2	4	no	—
1322	C₂×D₄	—	2	4	no	—
1323	C₂×D₄	—	2	4	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	4	no	—
1328	C₂×D₄	—	2	2	no	—
1329	C₂×D₄	—	2	2	no	—
1330	C₂×D₄	—	2	2	no	—
1331	C₂×D₄	—	2	2	no	—
1332	C₂×D₄	—	2	2	no	—
1333	C₂×D₄	—	2	2	no	—
1334	C₂×D₄	—	4	4	no	—
1335	C₂×D₄	—	4	4	no	—
1336	C₂×D₄	—	4	2	no	—
1337	C₂×D₄	—	4	2	no	—
1338	C₂×D₄	—	4	2	no	—
1339	C₂×D₄	—	4	2	no	—
1340	C₂×D₄	—	4	2	no	—
1341	C₂×D₄	—	4	2	no	—
1342	C₂×D₄	—	4	2	no	—
1343	C₂×D₄	—	4	4	no	—
1344	C₂×D₄	—	4	4	no	—
1345	C₂×D₄	—	4	4	no	—
1346	C₂×D₄	—	8	4	no	—
1347	C₂×D₄	—	8	2	no	—
1348	C₂×D₄	—	8	2	no	—
1349	C₂×D₄	—	8	2	no	—
1350	C₂×D₄	—	8	2	no	—
1351	C₂×D₄	—	8	2	no	—
1352	C₂×D₄	—	8	2	no	—
1353	C₂×D₄	—	8	2	no	—
1354	C₂×D₄	—	8	2	no	—
1355	C₂×D₄	—	8	2	no	—
1356	C₂×D₄	—	8	2	no	—
1357	C₂×D₄	—	8	2	no	—
1358	C₂×D₄	C₂²×D₄	1	4	yes	—
1359	C₂×D₄	C₂²×D₄	1	4	yes	—
1360	C₂×D₄	C₂²×D₄	1	4	yes	—
1361	C₂×D₄	C₂²×D₄	1	4	yes	—
1362	C₂×D₄	C₂²×D₄	1	4	yes	—
1363	C₂×D₄	C₂²×D₄	1	4	yes	—
1364	C₂×D₄	C₂²×D₄	1	4	yes	—
1365	C₂×D₄	C₂⁵	1	2	yes	—
1366	C₂×D₄	C₂⁵	1	2	yes	—
1367	C₂×D₄	C₂⁵	1	2	yes	—
1368	C₂²×C₄	—	2	2	no	—
1369	C₂²×C₄	—	2	2	no	—
1370	C₂²×C₄	—	2	2	no	—
1371	C₂²×C₄	—	2	2	no	—
1372	C₂²×C₄	—	2	2	no	—
1373	C₂²×C₄	—	2	2	no	—
1374	C₂²×C₄	—	2	2	no	—
1375	C₂²×C₄	—	2	2	no	—
1376	C₂²×C₄	—	2	2	no	—
1377	C₂²×C₄	—	2	2	no	—
1378	C₂²×C₄	—	2	4	no	—
1379	C₂²×C₄	—	2	4	no	—
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	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	4	no	—
1394	C₂²×C₄	—	2	4	no	—
1395	C₂²×C₄	—	2	4	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	4	no	—
1401	C₂²×C₄	—	2	4	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	—	4	8	no	—
1408	C₂²×C₄	—	4	4	no	—
1409	C₂²×C₄	—	4	4	no	—
1410	C₂²×C₄	—	4	2	no	—
1411	C₂²×C₄	—	4	2	no	—
1412	C₂²×C₄	—	4	2	no	—
1413	C₂²×C₄	—	4	4	no	—
1414	C₂²×C₄	—	4	4	no	—
1415	C₂²×C₄	—	4	4	no	—
1416	C₂²×C₄	—	8	2	no	—
1417	C₂²×C₄	—	8	2	no	—
1418	C₂²×C₄	—	8	2	no	—
1419	C₂²×C₄	—	8	2	no	—
1420	C₂²×C₄	—	8	2	no	—
1421	C₂²×C₄	—	8	2	no	—
1422	C₂²×C₄	—	8	2	no	—
1423	C₂²×C₄	—	8	2	no	—
1424	C₂²×C₄	—	8	2	no	—
1425	C₂²×C₄	—	8	2	no	—
1426	C₂²×C₄	—	8	2	no	—
1427	C₂²×C₄	—	8	2	no	—
1428	C₂²×C₄	—	8	2	no	—
1429	C₂²×C₄	—	8	16	no	—
1430	C₂²×C₄	C₂²×D₄	1	2	yes	—
1431	C₂²×C₄	C₂²×D₄	1	2	yes	—
1432	C₂²×C₄	C₂²×D₄	1	2	yes	—
1433	C₂²×C₄	C₂²×D₄	1	2	yes	—
1434	C₂²×C₄	C₂²×D₄	1	2	yes	—
1435	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1436	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1437	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1438	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1439	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1440	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1441	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1442	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1443	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1444	C₂²×C₄	C₂²×D₄	1	4	yes	—
1445	C₂²×C₄	C₂²×D₄	1	4	yes	—
1446	C₂²×C₄	C₂²×D₄	1	4	yes	—
1447	C₂²×C₄	C₂⁵	1	2	yes	—
1448	C₂²×C₄	C₂⁵	1	2	yes	—
1449	C₂²×C₄	C₂⁵	1	2	yes	—
1450	C₂²×C₄	C₂⁵	1	2	yes	—
1451	C₂²×C₄	C₂⁵	1	2	yes	—
1452	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1453	Q₁₆	—	4	4	no	—
1454	Q₁₆	—	4	4	no	—
1455	SD₁₆	—	4	4	no	—
1456	SD₁₆	—	4	4	no	—
1457	SD₁₆	—	4	4	no	—
1458	SD₁₆	—	4	4	no	—
1459	D₈	—	4	4	no	—
1460	D₈	—	4	4	no	—
1461	M₁₆	—	4	4	no	—
1462	M₁₆	—	4	4	no	—
1463	M₁₆	—	4	4	no	—
1464	M₁₆	—	4	4	no	—
1465	M₁₆	—	4	4	no	—
1466	M₁₆	—	4	4	no	—
1467	C₂×C₈	—	2	2	no	—
1468	C₂×C₈	—	2	2	no	—
1469	C₂×C₈	—	2	2	no	—
1470	C₂×C₈	—	2	2	no	—
1471	C₂×C₈	—	2	2	no	—
1472	C₂×C₈	—	2	2	no	—
1473	C₂×C₈	—	2	2	no	—
1474	C₂×C₈	—	2	2	no	—
1475	C₂×C₈	—	4	4	no	—
1476	C₂×C₈	—	4	4	no	—
1477	C₂×C₈	C₂⁵	1	2	yes	—
1478	C₂×C₈	C₂⁵	1	2	yes	—
1479	C₂×C₈	C₂⁵	1	2	yes	—
1480	C₂×C₈	C₂⁵	1	2	yes	—
1481	C₂×C₈	C₂⁵	1	2	yes	—
1482	C₂×C₈	C₂⁵	1	2	yes	—
1483	C₂×C₈	C₂⁵	1	2	yes	—
1484	C₂×C₈	C₂⁵	1	2	yes	—
1485	C₄⋊C₄	—	2	4	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	4	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	4	no	—
1492	C₄⋊C₄	—	2	4	no	—
1493	C₄⋊C₄	—	2	4	no	—
1494	C₄⋊C₄	—	2	4	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	4	no	—
1497	C₄⋊C₄	—	2	4	no	—
1498	C₄⋊C₄	—	2	4	no	—
1499	C₄⋊C₄	—	2	4	no	—
1500	C₄⋊C₄	—	2	4	no	—
1501	C₄⋊C₄	—	2	4	no	—
1502	C₄⋊C₄	—	2	4	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	4	no	—
1513	C₄⋊C₄	—	2	4	no	—
1514	C₄⋊C₄	—	2	4	no	—
1515	C₄⋊C₄	—	2	4	no	—
1516	C₄⋊C₄	—	2	4	no	—
1517	C₄⋊C₄	—	2	4	no	—
1518	C₄⋊C₄	—	2	4	no	—
1519	C₄⋊C₄	—	2	4	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1526	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1527	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1528	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1529	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1530	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1531	C₄⋊C₄	C₂⁵	1	2	yes	—
1532	C₄⋊C₄	C₂⁵	1	2	yes	—
1533	C₄⋊C₄	C₂⁵	1	2	yes	—
1534	C₄⋊C₄	C₂⁵	1	2	yes	—
1535	C₄⋊C₄	C₂⁵	1	2	yes	—
1536	C₄⋊C₄	C₂⁵	1	2	yes	—
1537	C₄⋊C₄	C₂⁵	1	2	yes	—
1538	C₄⋊C₄	C₂⁵	1	2	yes	—
1539	C₄⋊C₄	C₂⁵	1	2	yes	—
1540	C₄⋊C₄	C₂⁵	1	2	yes	—
1541	C₂²⋊C₄	—	2	4	no	—
1542	C₂²⋊C₄	—	2	4	no	—
1543	C₂²⋊C₄	—	2	4	no	—
1544	C₂²⋊C₄	—	2	4	no	—
1545	C₂²⋊C₄	—	2	4	no	—
1546	C₂²⋊C₄	—	2	4	no	—
1547	C₂²⋊C₄	—	2	4	no	—
1548	C₂²⋊C₄	—	2	4	no	—
1549	C₂²⋊C₄	—	2	4	no	—
1550	C₂²⋊C₄	—	2	4	no	—
1551	C₂²⋊C₄	—	2	4	no	—
1552	C₂²⋊C₄	—	2	4	no	—
1553	C₂²⋊C₄	—	2	4	no	—
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	C₂²×D₄	1	4	yes	—
1577	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1578	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1579	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1580	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1581	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1582	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1583	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1584	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1585	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1586	C₄²	—	2	4	no	—
1587	C₄²	—	2	4	no	—
1588	C₄²	—	2	4	no	—
1589	C₄²	—	2	4	no	—
1590	C₄²	—	2	4	no	—
1591	C₄²	—	2	4	no	—
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	C₂²×D₄	1	2	yes	—
1598	C₄²	C₂²×D₄	1	2	yes	—
1599	C₄²	C₂⁵	1	2	yes	—
1600	C₄²	C₂⁵	1	2	yes	—
1601	C₂³	—	2	2	no	—
1602	C₂³	—	2	2	no	—
1603	C₂³	—	2	2	no	—
1604	C₂³	—	2	2	no	—
1605	C₂³	—	2	2	no	—
1606	C₂³	—	2	2	no	—
1607	C₂³	—	2	2	no	—
1608	C₂³	—	2	2	no	—
1609	C₂³	—	2	2	no	—
1610	C₂³	—	2	2	no	—
1611	C₂³	—	2	2	no	—
1612	C₂³	—	2	2	no	—
1613	C₂³	—	2	2	no	—
1614	C₂³	—	2	2	no	—
1615	C₂³	—	2	2	no	—
1616	C₂³	—	2	2	no	—
1617	C₂³	—	2	2	no	—
1618	C₂³	—	2	2	no	—
1619	C₂³	—	4	4	no	—
1620	C₂³	—	4	4	no	—
1621	C₂³	—	4	4	no	—
1622	C₂³	—	4	16	no	—
1623	C₂³	—	4	2	no	—
1624	C₂³	—	4	2	no	—
1625	C₂³	—	4	2	no	—
1626	C₂³	—	4	2	no	—
1627	C₂³	—	4	2	no	—
1628	C₂³	—	4	2	no	—
1629	C₂³	—	4	2	no	—
1630	C₂³	—	4	2	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	8	4	no	—
1633	C₂³	—	8	4	no	—
1634	C₂³	—	8	4	no	—
1635	C₂³	—	16	8	no	—
1636	C₂³	C₂³×D₄	1	2	yes	—
1637	C₂³	C₂³×D₄	1	2	yes	—
1638	C₂³	C₂³×D₄	1	2	yes	—
1639	C₂³	C₂³×D₄	1	2	yes	—
1640	C₂³	C₂³×D₄	1	2	yes	—
1641	C₂³	C₂³×D₄	1	1	yes	characteristic
1642	Q₈	—	2	2	no	—
1643	Q₈	—	2	2	no	—
1644	Q₈	—	2	2	no	—
1645	Q₈	—	2	2	no	—
1646	Q₈	—	2	2	no	—
1647	Q₈	—	2	2	no	—
1648	Q₈	—	4	4	no	—
1649	Q₈	—	4	2	no	—
1650	Q₈	—	4	2	no	—
1651	Q₈	—	4	2	no	—
1652	Q₈	—	8	4	no	—
1653	Q₈	—	8	4	no	—
1654	Q₈	—	8	4	no	—
1655	Q₈	—	8	4	no	—
1656	Q₈	—	8	4	no	—
1657	D₄	—	2	2	no	—
1658	D₄	—	2	2	no	—
1659	D₄	—	2	2	no	—
1660	D₄	—	2	2	no	—
1661	D₄	—	2	2	no	—
1662	D₄	—	2	2	no	—
1663	D₄	—	4	4	no	—
1664	D₄	—	4	4	no	—
1665	D₄	—	4	4	no	—
1666	D₄	—	4	4	no	—
1667	D₄	—	4	4	no	—
1668	D₄	—	4	4	no	—
1669	D₄	—	4	4	no	—
1670	D₄	—	4	8	no	—
1671	D₄	—	4	8	no	—
1672	D₄	—	4	8	no	—
1673	D₄	—	4	2	no	—
1674	D₄	—	4	2	no	—
1675	D₄	—	4	2	no	—
1676	D₄	—	8	4	no	—
1677	D₄	—	8	4	no	—
1678	D₄	—	8	4	no	—
1679	D₄	—	8	4	no	—
1680	D₄	—	8	4	no	—
1681	D₄	—	8	4	no	—
1682	D₄	—	8	4	no	—
1683	D₄	—	8	4	no	—
1684	D₄	—	8	4	no	—
1685	D₄	—	8	4	no	—
1686	D₄	—	8	4	no	—
1687	C₂×C₄	—	2	2	no	—
1688	C₂×C₄	—	2	2	no	—
1689	C₂×C₄	—	2	2	no	—
1690	C₂×C₄	—	2	2	no	—
1691	C₂×C₄	—	2	2	no	—
1692	C₂×C₄	—	2	2	no	—
1693	C₂×C₄	—	2	2	no	—
1694	C₂×C₄	—	2	2	no	—
1695	C₂×C₄	—	2	2	no	—
1696	C₂×C₄	—	2	2	no	—
1697	C₂×C₄	—	2	2	no	—
1698	C₂×C₄	—	2	2	no	—
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	2	no	—
1704	C₂×C₄	—	2	2	no	—
1705	C₂×C₄	—	2	2	no	—
1706	C₂×C₄	—	2	4	no	—
1707	C₂×C₄	—	2	4	no	—
1708	C₂×C₄	—	2	4	no	—
1709	C₂×C₄	—	2	4	no	—
1710	C₂×C₄	—	2	4	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	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	2	no	—
1723	C₂×C₄	—	2	2	no	—
1724	C₂×C₄	—	4	4	no	—
1725	C₂×C₄	—	4	4	no	—
1726	C₂×C₄	—	4	4	no	—
1727	C₂×C₄	—	4	8	no	—
1728	C₂×C₄	—	4	8	no	—
1729	C₂×C₄	—	4	8	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	8	4	no	—
1744	C₂×C₄	—	8	4	no	—
1745	C₂×C₄	—	8	4	no	—
1746	C₂×C₄	—	8	4	no	—
1747	C₂×C₄	—	8	4	no	—
1748	C₂×C₄	—	8	4	no	—
1749	C₂×C₄	—	8	4	no	—
1750	C₂×C₄	—	8	4	no	—
1751	C₂×C₄	—	8	4	no	—
1752	C₂×C₄	—	8	4	no	—
1753	C₂×C₄	—	8	4	no	—
1754	C₂×C₄	—	8	4	no	—
1755	C₂×C₄	—	8	4	no	—
1756	C₂×C₄	C₂³×D₄	1	2	yes	—
1757	C₂×C₄	C₂³×D₄	1	2	yes	—
1758	C₂×C₄	C₂³×D₄	1	2	yes	—
1759	C₂×C₄	C₂³×D₄	1	2	yes	—
1760	C₂×C₄	C₂³×D₄	1	2	yes	—
1761	C₂×C₄	C₂³×D₄	1	2	yes	—
1762	C₂×C₄	C₂³×D₄	1	2	yes	—
1763	C₂×C₄	C₂³×D₄	1	2	yes	—
1764	C₂×C₄	C₂³×D₄	1	2	yes	—
1765	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1766	C₂×C₄	#585	1	2	yes	—
1767	C₂×C₄	#585	1	2	yes	—
1768	C₂×C₄	C₂⁶	1	1	yes	characteristic
1769	C₈	—	2	2	no	—
1770	C₈	—	2	2	no	—
1771	C₈	—	2	2	no	—
1772	C₈	—	2	2	no	—
1773	C₈	—	2	2	no	—
1774	C₈	—	2	2	no	—
1775	C₈	—	2	2	no	—
1776	C₈	—	2	2	no	—
1777	C₂²	—	2	2	no	—
1778	C₂²	—	2	2	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	2	2	no	—
1783	C₂²	—	2	2	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	2	2	no	—
1786	C₂²	—	2	2	no	—
1787	C₂²	—	2	2	no	—
1788	C₂²	—	2	2	no	—
1789	C₂²	—	2	2	no	—
1790	C₂²	—	2	2	no	—
1791	C₂²	—	2	2	no	—
1792	C₂²	—	4	16	no	—
1793	C₂²	—	4	4	no	—
1794	C₂²	—	4	4	no	—
1795	C₂²	—	4	4	no	—
1796	C₂²	—	4	4	no	—
1797	C₂²	—	4	4	no	—
1798	C₂²	—	4	2	no	—
1799	C₂²	—	4	2	no	—
1800	C₂²	—	4	2	no	—
1801	C₂²	—	4	2	no	—
1802	C₂²	—	4	2	no	—
1803	C₂²	—	4	2	no	—
1804	C₂²	—	4	2	no	—
1805	C₂²	—	4	2	no	—
1806	C₂²	—	4	2	no	—
1807	C₂²	—	8	4	no	—
1808	C₂²	—	8	4	no	—
1809	C₂²	—	8	4	no	—
1810	C₂²	—	16	8	no	—
1811	C₂²	#3485	1	2	yes	—
1812	C₂²	#3585	1	2	yes	—
1813	C₂²	#3586	1	2	yes	—
1814	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1815	C₄	—	2	2	no	—
1816	C₄	—	2	2	no	—
1817	C₄	—	2	2	no	—
1818	C₄	—	2	2	no	—
1819	C₄	—	2	2	no	—
1820	C₄	—	2	2	no	—
1821	C₄	—	2	2	no	—
1822	C₄	—	2	2	no	—
1823	C₄	—	2	2	no	—
1824	C₄	—	4	2	no	—
1825	C₄	—	4	2	no	—
1826	C₄	—	4	2	no	—
1827	C₄	—	4	2	no	—
1828	C₄	—	4	2	no	—
1829	C₄	—	4	2	no	—
1830	C₄	—	4	2	no	—
1831	C₄	—	4	2	no	—
1832	C₄	—	4	2	no	—
1833	C₄	—	4	2	no	—
1834	C₄	—	4	2	no	—
1835	C₄	—	4	2	no	—
1836	C₄	—	4	2	no	—
1837	C₄	#3485	1	2	yes	—
1838	C₄	C₂×#585	1	1	yes	characteristic
1839	C₄	C₂×#585	1	1	yes	characteristic
1840	C₂	—	4	2	no	—
1841	C₂	—	4	2	no	—
1842	C₂	—	4	2	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	4	2	no	—
1845	C₂	—	8	2	no	—
1846	C₂	—	8	2	no	—
1847	C₂	—	8	2	no	—
1848	C₂	#61775	1	4	yes	direct product factor
1849	C₂	C₂×#3485	1	1	yes	characteristic
1850	C₂	C₂×#3585	1	1	yes	characteristic
1851	C₂	C₂×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂×#525 ◁ 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×#3492	C₂	semidirect
2. C₂×#3540	C₂	semidirect
3. #61775	C₂	direct (N × H)
4. C₂×#3357	C₂	semidirect
5. C₂×#3356	C₂	semidirect
6. C₂×#3354	C₂	semidirect
7. C₂×#3353	C₂	semidirect
8. C₂×#3350	C₂	semidirect
9. C₂×#3349	C₂	semidirect
10. C₂×#3348	C₂	semidirect
11. C₂×#3347	C₂	semidirect
12. C₂×#3327	C₂	semidirect
13. C₂×#3326	C₂	semidirect
14. C₂×#3323	C₂	semidirect
15. C₂×#3322	C₂	semidirect
16. C₂×#3316	C₂	semidirect
17. C₂×#3308	C₂	semidirect
18. C₂×#3314	C₂	semidirect
19. C₂×#3306	C₂	semidirect
20. C₂×#3244	C₂	semidirect
21. C₂×#3243	C₂	semidirect
22. C₂×#3201	C₂	semidirect
23. C₂×#3198	C₂	semidirect
24. C₂×#3197	C₂	semidirect
25. C₂×#3197	C₂	semidirect
26. C₂×#3125	C₂	semidirect
27. C₂×#3124	C₂	semidirect
28. C₂×#3097	C₂	semidirect
29. C₂×#3096	C₂	semidirect
30. C₂×#3092	C₂	semidirect
31. C₂×#3092	C₂	semidirect
32. C₂×#2978	C₂	semidirect
34. #3540	C₂²	semidirect
38. #3492	C₂²	semidirect
46. C₂×#554	C₂²	semidirect
49. C₂×#553	C₂²	semidirect
52. C₂×#552	C₂²	semidirect
58. C₂×#547	C₂²	semidirect
61. C₂×#544	C₂²	semidirect
78. C₂×#525	C₂²	semidirect
80. C₂×#520	C₂²	semidirect
81. C₂³×C₄⋊C₄	C₂²	semidirect
82. #3357	C₂²	semidirect
83. #3356	C₂²	semidirect
84. #3354	C₂²	semidirect
85. #3353	C₂²	semidirect
86. #3350	C₂²	semidirect
87. #3349	C₂²	semidirect
88. #3348	C₂²	semidirect
89. #3347	C₂²	semidirect
90. #3327	C₂²	semidirect
91. #3326	C₂²	semidirect
92. #3323	C₂²	semidirect
93. #3322	C₂²	semidirect
94. #3316	C₂²	semidirect
95. #3314	C₂²	semidirect
96. #3308	C₂²	semidirect
97. #3306	C₂²	semidirect
98. #3244	C₂²	semidirect
99. #3243	C₂²	semidirect
100. #3201	C₂²	semidirect
101. #3198	C₂²	semidirect
102. #3197	C₂²	semidirect
103. #3197	C₂²	semidirect
104. C₂×#501	C₂²	semidirect
105. C₂×#501	C₂²	semidirect
106. C₂×#500	C₂²	semidirect
107. C₂×#498	C₂²	semidirect
108. C₂×#489	C₂²	semidirect
109. C₂×#489	C₂²	semidirect
110. C₂×#488	C₂²	semidirect
111. C₂×#488	C₂²	semidirect
112. #3125	C₂²	semidirect
113. #3124	C₂²	semidirect
114. #3097	C₂²	semidirect
115. #3096	C₂²	semidirect
116. #3092	C₂²	semidirect
117. #3092	C₂²	semidirect
118. C₂×#484	C₂²	semidirect
119. C₂×#484	C₂²	semidirect
120. C₂×#484	C₂²	semidirect
121. C₂×#484	C₂²	semidirect
122. C₂×#484	C₂²	semidirect
127. C₂×#481	C₂²	semidirect
128. C₂×#485	C₂²	semidirect
129. C₂×#485	C₂²	semidirect
130. C₂×#485	C₂²	semidirect
131. C₂×#485	C₂²	semidirect
132. C₂×#485	C₂²	semidirect
133. C₂×#485	C₂²	semidirect
134. C₂×#485	C₂²	semidirect
135. C₂×#485	C₂²	semidirect
138. C₂×#482	C₂²	semidirect
139. C₂×#482	C₂²	semidirect
140. C₂×#482	C₂²	semidirect
141. C₂×#482	C₂²	semidirect
142. C₂×#482	C₂²	semidirect
143. C₂×#482	C₂²	semidirect
144. C₂×#483	C₂²	semidirect
145. C₂×#483	C₂²	semidirect
146. C₂×#483	C₂²	semidirect
147. C₂×#483	C₂²	semidirect
148. C₂×#483	C₂²	semidirect
153. C₂×#480	C₂²	semidirect
154. C₂×#479	C₂²	semidirect
155. C₂×#479	C₂²	semidirect
156. C₂×#477	C₂²	semidirect
157. C₂×#477	C₂²	semidirect
158. C₂×#475	C₂²	semidirect
159. C₂×#475	C₂²	semidirect
160. C₂×#478	C₂²	semidirect
161. C₂×#478	C₂²	semidirect
162. C₂×#476	C₂²	semidirect
163. C₂×#476	C₂²	semidirect
164. C₂×#474	C₂²	semidirect
165. C₂×#474	C₂²	semidirect
166. C₂×#470	C₂²	semidirect
167. C₂×#470	C₂²	semidirect
168. C₂×#470	C₂²	semidirect
171. C₂×#469	C₂²	semidirect
174. C₂×#468	C₂²	semidirect
175. C₂×#468	C₂²	semidirect
176. C₂×#468	C₂²	semidirect
177. C₂×#468	C₂²	semidirect
178. C₂×#467	C₂²	semidirect
179. C₂×#466	C₂²	semidirect
180. C₂×#465	C₂²	semidirect
181. C₂×#465	C₂²	semidirect
182. C₂×#464	C₂²	semidirect
183. C₂×#464	C₂²	semidirect
184. C₂×#463	C₂²	semidirect
185. C₂×#463	C₂²	semidirect
188. C₂×#452	C₂²	semidirect
189. C₂×#452	C₂²	semidirect
194. C₂×#451	C₂²	semidirect
195. C₂×#448	C₂²	semidirect
196. C₂×#450	C₂²	semidirect
197. C₂×#447	C₂²	semidirect
198. #2978	C₂²	semidirect
199. C₂×#442	C₂²	semidirect
200. C₂×#441	C₂²	semidirect
201. C₂×#440	C₂²	semidirect
202. C₂×#440	C₂²	semidirect
203. C₂×C₄×Q₁₆	C₂²	semidirect
204. C₂×C₄×SD₁₆	C₂²	semidirect
205. C₂×C₄×SD₁₆	C₂²	semidirect
206. C₂×C₄×D₈	C₂²	semidirect
209. C₂×#436	C₂²	semidirect
210. C₂×#436	C₂²	semidirect
213. C₂×#435	C₂²	semidirect
214. C₂×#435	C₂²	semidirect
215. C₂×#433	C₂²	semidirect
216. C₂×#433	C₂²	semidirect
217. C₂×#428	C₂²	semidirect
218. C₂×#428	C₂²	semidirect
219. C₂×#428	C₂²	semidirect
220. C₂×#428	C₂²	semidirect
221. C₂×#428	C₂²	semidirect
222. C₂×#428	C₂²	semidirect
223. C₂×#427	C₂²	semidirect
224. C₂×#427	C₂²	semidirect
229. C₂×#419	C₂²	semidirect
230. C₂×#418	C₂²	semidirect
231. C₂²×#103	C₂²	semidirect
232. C₂²×#102	C₂²	semidirect
235. C₂×#407	C₂²	semidirect
236. C₂×#407	C₂²	semidirect
278. #554	C₂³	semidirect
283. #553	C₂³	semidirect
288. #552	C₂³	semidirect
298. #547	C₂³	semidirect
304. #544	C₂³	semidirect
368. #525	C₂³	semidirect
448. #520	C₂³	semidirect
507. C₂²×C₄⋊C₄	C₂³	semidirect
510. #501	C₂³	semidirect
511. #501	C₂³	semidirect
512. #500	C₂³	semidirect
513. #498	C₂³	semidirect
514. #489	C₂³	semidirect
515. #489	C₂³	semidirect
516. #488	C₂³	semidirect
517. #488	C₂³	semidirect
518. #485	C₂³	semidirect
519. #485	C₂³	semidirect
520. #485	C₂³	semidirect
521. #485	C₂³	semidirect
522. #485	C₂³	semidirect
523. #485	C₂³	semidirect
524. #485	C₂³	semidirect
525. #485	C₂³	semidirect
526. #484	C₂³	semidirect
527. #484	C₂³	semidirect
528. #484	C₂³	semidirect
529. #484	C₂³	semidirect
530. #484	C₂³	semidirect
531. #483	C₂³	semidirect
532. #483	C₂³	semidirect
533. #483	C₂³	semidirect
534. #483	C₂³	semidirect
535. #483	C₂³	semidirect
538. #482	C₂³	semidirect
539. #482	C₂³	semidirect
540. #482	C₂³	semidirect
541. #482	C₂³	semidirect
542. #482	C₂³	semidirect
543. #482	C₂³	semidirect
548. #481	C₂³	semidirect
553. #480	C₂³	semidirect
554. #479	C₂³	semidirect
555. #479	C₂³	semidirect
556. #478	C₂³	semidirect
557. #478	C₂³	semidirect
558. #477	C₂³	semidirect
559. #477	C₂³	semidirect
560. #476	C₂³	semidirect
561. #476	C₂³	semidirect
562. #475	C₂³	semidirect
563. #475	C₂³	semidirect
564. #474	C₂³	semidirect
565. #474	C₂³	semidirect
566. #470	C₂³	semidirect
567. #470	C₂³	semidirect
568. #470	C₂³	semidirect
571. #469	C₂³	semidirect
574. #468	C₂³	semidirect
575. #468	C₂³	semidirect
576. #468	C₂³	semidirect
577. #468	C₂³	semidirect
578. #467	C₂³	semidirect
579. #466	C₂³	semidirect
580. #465	C₂³	semidirect
581. #465	C₂³	semidirect
582. #464	C₂³	semidirect
583. #464	C₂³	semidirect
584. #463	C₂³	semidirect
585. #463	C₂³	semidirect
588. #452	C₂³	semidirect
589. #452	C₂³	semidirect
590. #451	C₂³	semidirect
591. #450	C₂³	semidirect
596. #448	C₂³	semidirect
597. #447	C₂³	semidirect
598. #442	C₂³	semidirect
599. #441	C₂³	semidirect
600. #440	C₂³	semidirect
601. #440	C₂³	semidirect
602. C₄×Q₁₆	C₂³	semidirect
603. C₄×SD₁₆	C₂³	semidirect
604. C₄×SD₁₆	C₂³	semidirect
605. C₄×D₈	C₂³	semidirect
608. #436	C₂³	semidirect
609. #436	C₂³	semidirect
612. #435	C₂³	semidirect
613. #435	C₂³	semidirect
614. #433	C₂³	semidirect
615. #433	C₂³	semidirect
616. #428	C₂³	semidirect
617. #428	C₂³	semidirect
618. #428	C₂³	semidirect
619. #428	C₂³	semidirect
620. #428	C₂³	semidirect
621. #428	C₂³	semidirect
622. #427	C₂³	semidirect
623. #427	C₂³	semidirect
652. #419	C₂³	semidirect
653. #418	C₂³	semidirect
674. C₂×#103	C₂³	semidirect
691. C₂×#102	C₂³	semidirect
694. #407	C₂³	semidirect
695. #407	C₂³	semidirect
1848. C₂	#61775	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×#3492	2
C₂×#3540	2
#61775	2
C₂×#3357	2
C₂×#3356	2
C₂×#3354	2
C₂×#3353	2
C₂×#3350	2
C₂×#3349	2
C₂×#3348	2
C₂×#3347	2
C₂×#3327	2
C₂×#3326	2
C₂×#3323	2
C₂×#3322	2
C₂×#3316	2
C₂×#3308	2
C₂×#3314	2
C₂×#3306	2
C₂×#3244	2
C₂×#3243	2
C₂×#3201	2
C₂×#3198	2
C₂×#3197	2
C₂×#3125	2
C₂×#3124	2
C₂×#3097	2
C₂×#3096	2
C₂×#3092	2
C₂×#2978	2

Subgroups — C2×#61775 #10577949

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#61775 #10577949