Subgroups — #6403954

Order 512.

1791 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61141	C₂	1	1	yes	maximal, characteristic
2	#60271	C₂	1	1	yes	maximal, characteristic, complemented
3	#60239	C₂	1	1	yes	maximal, characteristic, complemented
4	#23236	C₂	1	1	yes	maximal, characteristic, complemented
5	#23148	C₂	1	1	yes	maximal, characteristic, complemented
6	#23147	C₂	1	1	yes	maximal, characteristic, complemented
7	#23082	C₂	1	1	yes	maximal, characteristic, complemented
8	#23017	C₂	1	1	yes	maximal, characteristic, complemented
9	#22951	C₂	1	1	yes	maximal, characteristic, complemented
10	#22950	C₂	1	1	yes	maximal, characteristic, complemented
11	#22889	C₂	1	1	yes	maximal, characteristic, complemented
12	#22886	C₂	1	1	yes	maximal, characteristic, complemented
13	#22784	C₂	1	1	yes	maximal, characteristic, complemented
14	#22718	C₂	1	1	yes	maximal, characteristic, complemented
15	#22588	C₂	1	1	yes	maximal, characteristic, complemented
16	#22586	C₂	1	1	yes	maximal, characteristic, complemented
17	#22506	C₂	1	1	yes	maximal, characteristic, complemented
18	#22434	C₂	1	1	yes	maximal, characteristic, complemented
19	#22165	C₂	1	1	yes	maximal, characteristic, complemented
20	#22130	C₂	1	1	yes	maximal, characteristic, complemented
21	#22095	C₂	1	1	yes	maximal, characteristic, complemented
22	#22095	C₂	1	1	yes	maximal, characteristic, complemented
23	#22060	C₂	1	1	yes	maximal, characteristic, complemented
24	#22060	C₂	1	1	yes	maximal, characteristic, complemented
25	#21663	C₂	1	1	yes	maximal, characteristic, complemented
26	#21550	C₂	1	1	yes	maximal, characteristic, complemented
27	#21544	C₂	1	1	yes	maximal, characteristic, complemented
28	#21296	C₂	1	1	yes	maximal, characteristic, complemented
29	#21100	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#1937	C₂	1	1	yes	maximal, characteristic, complemented
31	#20484	C₂	1	1	yes	maximal, characteristic, complemented
32	#3475	C₂²	1	1	yes	characteristic
33	D₄×#41	C₂²	1	1	yes	characteristic
34	#3321	C₄	1	1	yes	characteristic, complemented
35	#3320	C₄	1	1	yes	characteristic, complemented
36	#3319	C₄	1	1	yes	characteristic, complemented
37	#3318	C₄	1	1	yes	characteristic, complemented
38	#3317	C₄	1	1	yes	characteristic, complemented
39	#3316	C₄	1	1	yes	characteristic, complemented
40	#3315	C₄	1	1	yes	characteristic, complemented
41	#3314	C₄	1	1	yes	characteristic, complemented
42	#3313	C₄	1	1	yes	characteristic, complemented
43	#3312	C₄	1	1	yes	characteristic, complemented
44	#3311	C₄	1	1	yes	characteristic, complemented
45	#3310	C₄	1	1	yes	characteristic, complemented
46	#3309	C₄	1	1	yes	characteristic, complemented
47	#3308	C₄	1	1	yes	characteristic, complemented
48	#3307	C₄	1	1	yes	characteristic, complemented
49	#3306	C₄	1	1	yes	characteristic, complemented
50	#3135	C₂²	1	1	yes	characteristic
51	#3091	C₂²	1	1	yes	characteristic
52	#3091	C₂²	1	1	yes	characteristic
53	#3076	C₂²	1	1	yes	characteristic
54	#3054	C₂²	1	1	yes	characteristic
55	#3050	C₂²	1	1	yes	characteristic
56	#3035	C₂²	1	1	yes	characteristic
57	#3002	C₂²	1	1	yes	characteristic
58	#3002	C₂²	1	1	yes	characteristic
59	#2994	—	2	1	no	—
60	#2994	—	2	1	no	—
61	#2994	—	2	1	no	—
62	#2993	—	2	1	no	—
63	#2992	—	2	1	no	—
64	#2992	—	2	1	no	—
65	#2990	—	2	1	no	—
66	#2988	—	2	1	no	—
67	#2981	—	2	1	no	—
68	#2979	—	2	1	no	—
69	#2977	—	2	1	no	—
70	#2977	—	2	1	no	—
71	#2976	—	2	1	no	—
72	#2976	—	2	1	no	—
73	#2974	—	2	1	no	—
74	#2972	—	2	1	no	—
75	#2962	C₂²	1	1	yes	characteristic, complemented
76	#2960	C₂²	1	1	yes	characteristic, complemented
77	C₂×#444	C₂²	1	1	yes	characteristic, complemented
78	C₂×#443	C₂²	1	1	yes	characteristic, complemented
79	#2943	C₂²	1	1	yes	characteristic
80	#2935	C₂²	1	1	yes	characteristic
81	D₄×M₁₆	C₂²	1	1	yes	characteristic
82	D₄×M₁₆	C₂²	1	1	yes	characteristic
83	#2933	C₂²	1	1	yes	characteristic
84	#2933	C₂²	1	1	yes	characteristic
85	#2933	C₂²	1	1	yes	characteristic, complemented
86	#2933	C₂²	1	1	yes	characteristic, complemented
87	#2931	C₂²	1	1	yes	characteristic
88	#2929	C₂²	1	1	yes	characteristic
89	#2929	C₂²	1	1	yes	characteristic
90	#2929	C₂²	1	1	yes	characteristic, complemented
91	#2929	C₂²	1	1	yes	characteristic, complemented
92	C₂×#435	C₂²	1	1	yes	characteristic
93	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
94	#2925	C₂²	1	1	yes	characteristic
95	#2924	C₂²	1	1	yes	characteristic, complemented
96	#2924	C₂²	1	1	yes	characteristic, complemented
97	#2922	C₂²	1	1	yes	characteristic
98	#2922	C₂²	1	1	yes	characteristic, complemented
99	#2906	C₂²	1	1	yes	characteristic, complemented
100	C₂×#424	C₂²	1	1	yes	characteristic, complemented
101	C₂×#424	C₂²	1	1	yes	characteristic, complemented
102	C₂×#421	C₂²	1	1	yes	characteristic
103	C₂²×#104	C₂²	1	1	yes	characteristic
104	#2896	C₂²	1	1	yes	characteristic
105	C₂×#416	C₂²	1	1	yes	characteristic
106	#2880	C₂²	1	1	yes	characteristic
107	#2880	C₂²	1	1	yes	characteristic
108	C₂×#408	C₂²	1	1	yes	characteristic
109	C₂×#408	C₂²	1	1	yes	characteristic
110	C₂×#405	C₂²	1	1	yes	characteristic, complemented
111	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
112	#2290	C₂²	1	1	yes	characteristic
113	#1995	C₂²	1	1	yes	characteristic, complemented
114	#1986	C₂²	1	1	yes	characteristic, complemented
115	#1980	C₂²	1	1	yes	characteristic
116	#1975	C₂²	1	1	yes	characteristic
117	#1974	C₂²	1	1	yes	characteristic
118	#1974	C₂²	1	1	yes	characteristic, complemented
119	#1974	C₂²	1	1	yes	characteristic, complemented
120	#1963	C₂²	1	1	yes	characteristic
121	#1950	C₂²	1	1	yes	characteristic, complemented
122	#1950	C₂²	1	1	yes	characteristic, complemented
123	#1946	C₂²	1	1	yes	characteristic, complemented
124	#1945	C₂²	1	1	yes	characteristic, complemented
125	#1945	C₂²	1	1	yes	characteristic, complemented
126	#1945	C₂²	1	1	yes	characteristic, complemented
127	#1938	C₂²	1	1	yes	characteristic
128	#1938	C₂²	1	1	yes	characteristic
129	#1938	C₂²	1	1	yes	characteristic
130	#1938	C₂²	1	1	yes	characteristic, complemented
131	#1938	C₂²	1	1	yes	characteristic, complemented
132	#1938	C₂²	1	1	yes	characteristic, complemented
133	#1937	C₂²	1	1	yes	characteristic
134	#1937	C₂²	1	1	yes	characteristic
135	#1937	C₂²	1	1	yes	characteristic
136	#1937	C₂²	1	1	yes	characteristic
137	#1937	C₂²	1	1	yes	characteristic
138	#1937	C₂²	1	1	yes	characteristic, complemented
139	#1937	C₂²	1	1	yes	characteristic, complemented
140	#1937	C₂²	1	1	yes	characteristic, complemented
141	#1937	C₂²	1	1	yes	characteristic, complemented
142	#1937	C₂²	1	1	yes	characteristic, complemented
143	#1937	C₂²	1	1	yes	characteristic, complemented
144	#1937	C₂²	1	1	yes	characteristic, complemented
145	#1937	C₂²	1	1	yes	characteristic, complemented
146	#1937	C₂²	1	1	yes	characteristic, complemented
147	#1929	C₂²	1	1	yes	characteristic
148	#1929	C₂²	1	1	yes	characteristic
149	#1929	C₂²	1	1	yes	characteristic
150	#1929	C₂²	1	1	yes	characteristic
151	#1929	C₂²	1	1	yes	characteristic, complemented
152	#1929	C₂²	1	1	yes	characteristic, complemented
153	#1922	C₂²	1	1	yes	characteristic, complemented
154	#1922	C₂²	1	1	yes	characteristic, complemented
155	#1922	C₂²	1	1	yes	characteristic, complemented
156	#1922	C₂²	1	1	yes	characteristic, complemented
157	#1922	C₂²	1	1	yes	characteristic, complemented
158	#1922	C₂²	1	1	yes	characteristic, complemented
159	#1897	C₂²	1	1	yes	characteristic
160	#1897	C₂²	1	1	yes	characteristic, complemented
161	#1896	C₂²	1	1	yes	characteristic
162	#1896	C₂²	1	1	yes	characteristic, complemented
163	#1876	C₂²	1	1	yes	characteristic
164	#1876	C₂²	1	1	yes	characteristic
165	#1876	C₂²	1	1	yes	characteristic, complemented
166	#1876	C₂²	1	1	yes	characteristic, complemented
167	#1876	C₂²	1	1	yes	characteristic, complemented
168	#1876	C₂²	1	1	yes	characteristic, complemented
169	#1871	C₂²	1	1	yes	characteristic
170	#1871	C₂²	1	1	yes	characteristic
171	#1871	C₂²	1	1	yes	characteristic, complemented
172	#1871	C₂²	1	1	yes	characteristic, complemented
173	#1866	C₂²	1	1	yes	characteristic, complemented
174	#1866	C₂²	1	1	yes	characteristic, complemented
175	#1866	C₂²	1	1	yes	characteristic, complemented
176	#1866	C₂²	1	1	yes	characteristic, complemented
177	#1866	C₂²	1	1	yes	characteristic, complemented
178	#1866	C₂²	1	1	yes	characteristic, complemented
179	#1855	C₂²	1	1	yes	characteristic, complemented
180	#1855	C₂²	1	1	yes	characteristic, complemented
181	#1855	C₂²	1	1	yes	characteristic, complemented
182	#1855	C₂²	1	1	yes	characteristic, complemented
183	#1838	C₂²	1	1	yes	characteristic, complemented
184	#1826	C₂²	1	1	yes	characteristic, complemented
185	#1826	C₂²	1	1	yes	characteristic, complemented
186	#1811	C₂²	1	1	yes	characteristic, complemented
187	#1810	C₂²	1	1	yes	characteristic, complemented
188	#1806	C₂²	1	1	yes	characteristic
189	#1806	C₂²	1	1	yes	characteristic, complemented
190	#1789	C₂²	1	1	yes	characteristic
191	#1789	C₂²	1	1	yes	characteristic
192	#1778	C₂²	1	1	yes	characteristic, complemented
193	#1773	C₂²	1	1	yes	characteristic, complemented
194	#1772	C₂²	1	1	yes	characteristic, complemented
195	#1771	C₂²	1	1	yes	characteristic, complemented
196	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
197	#1768	C₂²	1	1	yes	characteristic, complemented
198	#1765	C₂²	1	1	yes	characteristic, complemented
199	#1765	C₂²	1	1	yes	characteristic, complemented
200	#1765	C₂²	1	1	yes	characteristic, complemented
201	#1765	C₂²	1	1	yes	characteristic, complemented
202	#1765	C₂²	1	1	yes	characteristic, complemented
203	#1765	C₂²	1	1	yes	characteristic, complemented
204	#1764	C₂²	1	1	yes	characteristic, complemented
205	#1764	C₂²	1	1	yes	characteristic, complemented
206	#1759	C₂²	1	1	yes	characteristic
207	#1759	C₂²	1	1	yes	characteristic, complemented
208	#1753	C₂²	1	1	yes	characteristic, complemented
209	#1752	C₂²	1	1	yes	characteristic, complemented
210	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
211	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
212	#1750	C₂²	1	1	yes	characteristic, complemented
213	#1749	C₂²	1	1	yes	characteristic, complemented
214	#1738	C₂²	1	1	yes	characteristic, complemented
215	C₂×#341	C₂²	1	1	yes	characteristic, complemented
216	#1733	C₂²	1	1	yes	characteristic, complemented
217	C₂×#339	C₂²	1	1	yes	characteristic, complemented
218	#1726	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	1	yes	characteristic
221	C₂×#135	C₂³	1	1	yes	characteristic
222	C₂×#135	C₂³	1	1	yes	characteristic
223	C₂×#135	C₂³	1	1	yes	characteristic
224	C₂×#131	C₂³	1	1	yes	characteristic
225	C₂×#131	C₂³	1	1	yes	characteristic
226	C₂×#131	C₂³	1	1	yes	characteristic
227	C₂×#131	C₂³	1	1	yes	characteristic
228	C₂×#131	C₂³	1	1	yes	characteristic
229	C₂×#131	C₂³	1	1	yes	characteristic
230	C₂²×M₁₆	C₂³	1	1	yes	characteristic
231	C₂²×M₁₆	C₂³	1	1	yes	characteristic
232	C₂²×M₁₆	C₂³	1	1	yes	characteristic
233	C₂²×M₁₆	C₂³	1	1	yes	characteristic
234	C₂²×M₁₆	C₂³	1	1	yes	characteristic
235	C₂³×C₈	C₂³	1	1	yes	characteristic
236	C₂³×C₈	C₂³	1	1	yes	characteristic
237	C₂³×C₈	C₂³	1	1	yes	characteristic
238	#556	C₂×C₄	1	1	yes	characteristic
239	#555	C₂×C₄	1	1	yes	characteristic
240	#554	C₂×C₄	1	1	yes	characteristic
241	#553	C₂×C₄	1	1	yes	characteristic
242	#553	C₂×C₄	1	1	yes	characteristic
243	#552	—	2	1	no	—
244	#552	C₂×C₄	1	1	yes	characteristic
245	#552	C₂×C₄	1	1	yes	characteristic
246	#551	—	2	1	no	—
247	#551	—	2	1	no	—
248	#550	C₂×C₄	1	1	yes	characteristic
249	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
250	#548	C₂×C₄	1	1	yes	characteristic
251	#548	C₂×C₄	1	1	yes	characteristic
252	#547	—	2	1	no	—
253	#547	C₂×C₄	1	1	yes	characteristic
254	#547	C₂×C₄	1	1	yes	characteristic
255	#546	—	2	1	no	—
256	#546	—	2	1	no	—
257	#546	—	2	1	no	—
258	#546	C₂×C₄	1	1	yes	characteristic
259	#546	C₂×C₄	1	1	yes	characteristic
260	D₄²	—	2	1	no	—
261	D₄²	C₂×C₄	1	1	yes	characteristic
262	#533	C₂³	1	1	yes	characteristic
263	#532	—	2	1	no	—
264	#532	C₂³	1	1	yes	characteristic
265	#529	—	2	1	no	—
266	#529	—	2	1	no	—
267	#529	—	2	1	no	—
268	#525	—	2	1	no	—
269	#525	—	2	1	no	—
270	#525	C₂³	1	1	yes	characteristic
271	#525	C₂³	1	1	yes	characteristic
272	#525	C₂³	1	1	yes	characteristic
273	#525	C₂³	1	1	yes	characteristic
274	C₄×#41	—	2	1	no	—
275	C₄×#41	C₂³	1	1	yes	characteristic
276	C₄×#41	C₂³	1	1	yes	characteristic
277	C₂×C₄×D₄	—	2	1	no	—
278	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
279	C₂×#117	C₂³	1	1	yes	characteristic
280	C₂×#117	C₂³	1	1	yes	characteristic
281	C₂×#117	C₂³	1	1	yes	characteristic
282	C₂²×C₄²	C₂³	1	1	yes	characteristic
283	#491	C₂×C₄	1	1	yes	characteristic, complemented
284	#491	C₂×C₄	1	1	yes	characteristic, complemented
285	#490	C₂×C₄	1	1	yes	characteristic, complemented
286	#490	C₂×C₄	1	1	yes	characteristic, complemented
287	#489	C₂×C₄	1	1	yes	characteristic, complemented
288	#489	C₂×C₄	1	1	yes	characteristic, complemented
289	#489	C₂×C₄	1	1	yes	characteristic, complemented
290	#489	C₂×C₄	1	1	yes	characteristic, complemented
291	#485	C₂×C₄	1	1	yes	characteristic
292	#485	C₂×C₄	1	1	yes	characteristic
293	#485	C₂×C₄	1	1	yes	characteristic, complemented
294	#485	C₂×C₄	1	1	yes	characteristic, complemented
295	#484	C₂×C₄	1	1	yes	characteristic
296	#484	C₂×C₄	1	1	yes	characteristic, complemented
297	#483	C₂×C₄	1	1	yes	characteristic
298	#483	C₂×C₄	1	1	yes	characteristic, complemented
299	#482	C₂×C₄	1	1	yes	characteristic
300	#482	C₂×C₄	1	1	yes	characteristic
301	#482	C₂×C₄	1	1	yes	characteristic, complemented
302	#482	C₂×C₄	1	1	yes	characteristic, complemented
303	#481	C₂×C₄	1	1	yes	characteristic
304	#481	C₂×C₄	1	1	yes	characteristic, complemented
305	#480	C₂×C₄	1	1	yes	characteristic
306	#480	C₂×C₄	1	1	yes	characteristic, complemented
307	#479	C₂×C₄	1	1	yes	characteristic, complemented
308	#479	C₂×C₄	1	1	yes	characteristic, complemented
309	#478	C₂×C₄	1	1	yes	characteristic, complemented
310	#478	C₂×C₄	1	1	yes	characteristic, complemented
311	#477	C₂×C₄	1	1	yes	characteristic, complemented
312	#476	C₂×C₄	1	1	yes	characteristic, complemented
313	#475	C₂×C₄	1	1	yes	characteristic, complemented
314	#474	C₂×C₄	1	1	yes	characteristic, complemented
315	#470	C₂×C₄	1	1	yes	characteristic, complemented
316	#470	C₂×C₄	1	1	yes	characteristic, complemented
317	#469	C₂×C₄	1	1	yes	characteristic, complemented
318	#469	C₂×C₄	1	1	yes	characteristic, complemented
319	#468	C₂×C₄	1	1	yes	characteristic, complemented
320	#468	C₂×C₄	1	1	yes	characteristic, complemented
321	#468	C₂×C₄	1	1	yes	characteristic, complemented
322	#468	C₂×C₄	1	1	yes	characteristic, complemented
323	#467	C₂×C₄	1	1	yes	characteristic
324	#467	C₂×C₄	1	1	yes	characteristic
325	#466	C₂×C₄	1	1	yes	characteristic
326	#466	C₂×C₄	1	1	yes	characteristic
327	#465	C₂×C₄	1	1	yes	characteristic
328	#465	C₂×C₄	1	1	yes	characteristic
329	#465	C₂×C₄	1	1	yes	characteristic
330	#465	C₂×C₄	1	1	yes	characteristic
331	#464	C₂×C₄	1	1	yes	characteristic, complemented
332	#464	C₂×C₄	1	1	yes	characteristic, complemented
333	#463	C₂×C₄	1	1	yes	characteristic, complemented
334	#463	C₂×C₄	1	1	yes	characteristic, complemented
335	#462	C₂×C₄	1	1	yes	characteristic, complemented
336	#461	C₂×C₄	1	1	yes	characteristic, complemented
337	#460	C₂×C₄	1	1	yes	characteristic, complemented
338	#459	C₂×C₄	1	1	yes	characteristic, complemented
339	#452	C₂×C₄	1	1	yes	characteristic
340	#452	C₂×C₄	1	1	yes	characteristic
341	#452	C₂×C₄	1	1	yes	characteristic, complemented
342	#452	C₂×C₄	1	1	yes	characteristic, complemented
343	#451	C₂×C₄	1	1	yes	characteristic
344	#451	C₂×C₄	1	1	yes	characteristic, complemented
345	#450	C₂×C₄	1	1	yes	characteristic
346	#450	C₂×C₄	1	1	yes	characteristic, complemented
347	#449	C₂×C₄	1	1	yes	characteristic
348	#449	C₂×C₄	1	1	yes	characteristic
349	#449	C₂×C₄	1	1	yes	characteristic, complemented
350	#449	C₂×C₄	1	1	yes	characteristic, complemented
351	#448	C₂×C₄	1	1	yes	characteristic
352	#448	C₂×C₄	1	1	yes	characteristic, complemented
353	#447	C₂×C₄	1	1	yes	characteristic
354	#447	C₂×C₄	1	1	yes	characteristic, complemented
355	#446	—	2	1	no	—
356	#446	—	2	1	no	—
357	#446	—	2	1	no	—
358	#446	—	2	1	no	—
359	#446	—	2	1	no	—
360	C₈×Q₈	—	2	1	no	—
361	C₈×Q₈	—	2	1	no	—
362	C₈×Q₈	—	2	1	no	—
363	#444	—	4	2	no	—
364	#443	—	4	2	no	—
365	#442	C₂×C₄	1	1	yes	characteristic, complemented
366	#442	C₂×C₄	1	1	yes	characteristic, complemented
367	#441	C₂×C₄	1	1	yes	characteristic, complemented
368	#441	C₂×C₄	1	1	yes	characteristic, complemented
369	#440	C₂×C₄	1	1	yes	characteristic, complemented
370	#440	C₂×C₄	1	1	yes	characteristic, complemented
371	#440	C₂×C₄	1	1	yes	characteristic, complemented
372	#440	C₂×C₄	1	1	yes	characteristic, complemented
373	#436	—	2	1	no	—
374	#436	—	2	1	no	—
375	#436	—	2	1	no	—
376	#436	—	2	1	no	—
377	#436	—	2	1	no	—
378	#436	—	2	1	no	—
379	#436	—	2	1	no	—
380	#436	—	2	1	no	—
381	#436	—	2	1	no	—
382	#435	—	2	1	no	—
383	#435	—	2	1	no	—
384	#435	—	2	1	no	—
385	#435	—	2	1	no	—
386	#435	—	2	1	no	—
387	#435	—	2	1	no	—
388	#435	—	2	1	no	—
389	#435	—	2	1	no	—
390	#435	—	2	1	no	—
391	#435	—	2	1	no	—
392	#435	—	2	1	no	—
393	#435	—	2	1	no	—
394	#435	—	2	1	no	—
395	#435	—	2	1	no	—
396	#435	—	2	1	no	—
397	#435	—	2	1	no	—
398	#435	—	2	1	no	—
399	#435	—	2	1	no	—
400	#435	—	2	1	no	—
401	#435	—	2	1	no	—
402	#435	—	2	1	no	—
403	#435	—	2	1	no	—
404	#435	C₂×C₄	1	1	yes	characteristic
405	#435	C₂×C₄	1	1	yes	characteristic
406	#435	C₂×C₄	1	1	yes	characteristic
407	#435	C₂×C₄	1	1	yes	characteristic
408	#435	C₂×C₄	1	1	yes	characteristic
409	#435	C₂×C₄	1	1	yes	characteristic
410	#435	C₂×C₄	1	1	yes	characteristic
411	#435	C₂×C₄	1	1	yes	characteristic
412	C₈×D₄	—	2	1	no	—
413	C₈×D₄	—	2	1	no	—
414	C₈×D₄	—	2	1	no	—
415	C₈×D₄	—	2	1	no	—
416	C₈×D₄	—	2	1	no	—
417	C₈×D₄	—	2	1	no	—
418	C₈×D₄	—	2	1	no	—
419	C₈×D₄	—	2	1	no	—
420	C₈×D₄	—	2	1	no	—
421	C₈×D₄	—	2	1	no	—
422	C₈×D₄	—	2	1	no	—
423	C₈×D₄	—	2	1	no	—
424	C₈×D₄	—	2	1	no	—
425	C₈×D₄	—	2	1	no	—
426	C₈×D₄	—	2	1	no	—
427	C₈×D₄	—	2	1	no	—
428	C₈×D₄	—	2	1	no	—
429	C₈×D₄	D₄	1	1	yes	characteristic
430	C₈×D₄	D₄	1	1	yes	characteristic
431	C₈×D₄	D₄	1	1	yes	characteristic
432	C₈×D₄	D₄	1	1	yes	characteristic
433	C₈×D₄	D₄	1	1	yes	characteristic
434	C₈×D₄	D₄	1	1	yes	characteristic
435	C₈×D₄	D₄	1	1	yes	characteristic
436	C₈×D₄	D₄	1	1	yes	characteristic
437	#433	—	2	1	no	—
438	#433	—	2	1	no	—
439	#433	—	2	1	no	—
440	#433	—	2	1	no	—
441	#433	—	2	1	no	—
442	#433	—	2	1	no	—
443	#433	—	2	1	no	—
444	#433	—	2	1	no	—
445	#433	—	2	1	no	—
446	#433	—	2	1	no	—
447	#432	—	2	1	no	—
448	#432	—	2	1	no	—
449	#432	—	2	1	no	—
450	#431	—	2	1	no	—
451	#431	—	2	1	no	—
452	#431	—	2	1	no	—
453	#431	—	2	1	no	—
454	#431	—	2	1	no	—
455	#431	—	2	1	no	—
456	#431	—	2	1	no	—
457	C₂×#108	C₂³	1	1	yes	characteristic
458	C₂×#108	C₂³	1	1	yes	characteristic
459	C₂×#108	C₂³	1	1	yes	characteristic
460	C₂×#108	C₂³	1	1	yes	characteristic
461	C₂×#108	C₂³	1	1	yes	characteristic
462	C₂×#108	C₂³	1	1	yes	characteristic
463	#427	C₂³	1	1	yes	characteristic
464	#427	C₂³	1	1	yes	characteristic
465	#427	C₂³	1	1	yes	characteristic
466	#424	—	2	1	no	—
467	#424	—	2	1	no	—
468	#424	—	2	1	no	—
469	#424	—	2	1	no	—
470	#424	—	2	1	no	—
471	#424	—	2	1	no	—
472	#424	C₂³	1	1	yes	characteristic
473	#424	C₂³	1	1	yes	characteristic
474	#424	C₂³	1	1	yes	characteristic
475	#424	C₂³	1	1	yes	characteristic
476	#424	C₂³	1	1	yes	characteristic
477	#424	C₂³	1	1	yes	characteristic
478	#424	C₂³	1	1	yes	characteristic
479	#424	C₂³	1	1	yes	characteristic
480	#424	C₂³	1	1	yes	characteristic
481	#424	C₂³	1	1	yes	characteristic
482	#423	—	2	1	no	—
483	#423	C₂³	1	1	yes	characteristic
484	#423	C₂³	1	1	yes	characteristic
485	C₂×C₄⋊C₈	—	2	1	no	—
486	C₂×C₄⋊C₈	—	2	1	no	—
487	C₂×C₄⋊C₈	—	2	1	no	—
488	C₂×C₄⋊C₈	—	2	1	no	—
489	C₂×C₄⋊C₈	—	2	1	no	—
490	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
491	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
492	#421	—	4	2	no	—
493	C₂×#104	—	4	2	no	—
494	C₂×#104	C₂³	1	1	yes	characteristic
495	C₂×#104	C₂³	1	1	yes	characteristic
496	C₂×#104	C₂³	1	1	yes	characteristic
497	C₂×#104	C₂³	1	1	yes	characteristic
498	C₂×#104	C₂³	1	1	yes	characteristic
499	C₂×#104	C₂³	1	1	yes	characteristic
500	C₂×#104	C₂³	1	1	yes	characteristic
501	C₂×#104	C₂³	1	1	yes	characteristic
502	C₂×#104	C₂³	1	1	yes	characteristic
503	C₂×#104	C₂³	1	1	yes	characteristic
504	C₂×#104	C₂³	1	1	yes	characteristic
505	C₂×#104	C₂³	1	1	yes	characteristic
506	C₂×#104	C₂³	1	1	yes	characteristic
507	C₂×#104	C₂³	1	1	yes	characteristic
508	C₂×#104	C₂³	1	1	yes	characteristic
509	C₂×#104	C₂³	1	1	yes	characteristic
510	#419	C₂×C₄	1	1	yes	characteristic, complemented
511	#419	C₂×C₄	1	1	yes	characteristic, complemented
512	#418	C₂×C₄	1	1	yes	characteristic, complemented
513	#418	C₂×C₄	1	1	yes	characteristic, complemented
514	#417	C₂×C₄	1	1	yes	characteristic, complemented
515	#417	C₂×C₄	1	1	yes	characteristic, complemented
516	#417	C₂×C₄	1	1	yes	characteristic, complemented
517	#417	C₂×C₄	1	1	yes	characteristic, complemented
518	#416	C₂×C₄	1	1	yes	characteristic
519	#416	C₂×C₄	1	1	yes	characteristic
520	#416	C₂×C₄	1	1	yes	characteristic
521	#416	C₂×C₄	1	1	yes	characteristic
522	#416	C₂³	1	1	yes	characteristic
523	#416	C₂³	1	1	yes	characteristic
524	#416	C₂³	1	1	yes	characteristic
525	#416	C₂³	1	1	yes	characteristic
526	#416	C₂³	1	1	yes	characteristic
527	#416	C₂³	1	1	yes	characteristic
528	#416	C₂³	1	1	yes	characteristic
529	#416	C₂³	1	1	yes	characteristic
530	#416	C₂³	1	1	yes	characteristic
531	#416	C₂³	1	1	yes	characteristic
532	C₂×#103	C₂×C₄	1	1	yes	characteristic
533	C₂×#103	C₂×C₄	1	1	yes	characteristic
534	C₂×#102	C₂×C₄	1	1	yes	characteristic
535	C₂×#102	C₂×C₄	1	1	yes	characteristic
536	#408	—	2	1	no	—
537	#408	—	2	1	no	—
538	#408	—	2	1	no	—
539	#408	—	2	1	no	—
540	#408	—	2	1	no	—
541	#408	—	2	1	no	—
542	#408	—	2	1	no	—
543	#408	—	2	1	no	—
544	#408	C₂³	1	1	yes	characteristic
545	#408	C₂³	1	1	yes	characteristic
546	#408	C₂³	1	1	yes	characteristic
547	#408	C₂³	1	1	yes	characteristic
548	#408	C₂³	1	1	yes	characteristic
549	#408	C₂³	1	1	yes	characteristic
550	#408	C₂³	1	1	yes	characteristic
551	#408	C₂³	1	1	yes	characteristic
552	#408	C₂³	1	1	yes	characteristic
553	#408	C₂³	1	1	yes	characteristic
554	#407	—	2	1	no	—
555	#407	—	2	1	no	—
556	#407	C₂³	1	1	yes	characteristic
557	#407	C₂³	1	1	yes	characteristic
558	#407	C₂³	1	1	yes	characteristic
559	#407	C₂³	1	1	yes	characteristic
560	C₂×C₂²⋊C₈	—	2	1	no	—
561	C₂×C₂²⋊C₈	—	2	1	no	—
562	C₂×C₂²⋊C₈	—	2	1	no	—
563	C₂×C₂²⋊C₈	—	2	1	no	—
564	C₂×C₂²⋊C₈	—	2	1	no	—
565	C₂×C₂²⋊C₈	—	2	1	no	—
566	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
567	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
568	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
569	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
570	#405	—	4	2	no	—
571	#405	C₂³	1	1	yes	characteristic
572	#405	C₂³	1	1	yes	characteristic
573	#405	C₂³	1	1	yes	characteristic
574	#405	C₂³	1	1	yes	characteristic
575	#405	C₂³	1	1	yes	characteristic
576	#405	C₂³	1	1	yes	characteristic
577	C₄×M₁₆	C₂³	1	1	yes	characteristic
578	C₄×M₁₆	C₂³	1	1	yes	characteristic
579	C₂×#97	C₂³	1	1	yes	characteristic
580	C₂×#97	C₂³	1	1	yes	characteristic
581	C₂×#97	C₂³	1	1	yes	characteristic
582	C₂×#97	C₂³	1	1	yes	characteristic
583	C₂×#97	C₂³	1	1	yes	characteristic
584	C₂×C₄×C₈	—	4	2	no	—
585	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
586	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
587	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
588	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
589	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
590	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
591	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
592	#388	—	2	1	no	—
593	#387	—	2	1	no	—
594	#386	—	2	1	no	—
595	#385	—	2	1	no	—
596	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
597	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
598	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
599	#376	C₂³	1	1	yes	characteristic
600	#341	C₂³	1	1	yes	characteristic
601	#341	C₂³	1	1	yes	characteristic
602	#341	C₂³	1	1	yes	characteristic
603	#341	C₂³	1	1	yes	characteristic
604	#341	C₂³	1	1	yes	characteristic
605	#341	C₂³	1	1	yes	characteristic
606	#341	C₂³	1	1	yes	characteristic
607	#341	C₂³	1	1	yes	characteristic
608	#341	C₂³	1	1	yes	characteristic
609	#341	C₂³	1	1	yes	characteristic
610	#339	C₂³	1	1	yes	characteristic
611	#339	C₂³	1	1	yes	characteristic
612	#339	C₂³	1	1	yes	characteristic
613	#339	C₂³	1	1	yes	characteristic
614	#339	C₂³	1	1	yes	characteristic
615	#339	C₂³	1	1	yes	characteristic
616	#339	C₂³	1	1	yes	characteristic
617	#339	C₂³	1	1	yes	characteristic
618	#339	C₂³	1	1	yes	characteristic
619	#339	C₂³	1	1	yes	characteristic
620	#339	C₂³	1	1	yes	characteristic
621	#339	C₂³	1	1	yes	characteristic
622	#339	C₂³	1	1	yes	characteristic
623	#339	C₂³	1	1	yes	characteristic
624	#339	C₂³	1	1	yes	characteristic
625	#339	C₂³	1	1	yes	characteristic
626	#336	C₂³	1	1	yes	characteristic
627	#336	C₂³	1	1	yes	characteristic
628	#336	C₂³	1	1	yes	characteristic
629	#336	C₂³	1	1	yes	characteristic
630	#336	C₂³	1	1	yes	characteristic
631	#336	C₂³	1	1	yes	characteristic
632	C₂×#41	—	2	1	no	—
633	C₂×#41	—	2	1	no	—
634	C₂×#41	—	2	1	no	—
635	C₂×#41	—	2	1	no	—
636	C₂×#41	—	2	1	no	—
637	C₂×#41	—	4	1	no	—
638	C₂×#41	—	4	1	no	—
639	C₂×#41	—	4	1	no	—
640	C₂×#41	—	4	1	no	—
641	C₂×#41	—	4	1	no	—
642	C₂×#41	—	4	1	no	—
643	C₂×#41	—	4	1	no	—
644	C₂×#41	—	4	1	no	—
645	C₂×#41	C₂²×C₄	1	1	yes	characteristic
646	C₂×#41	C₂²×C₄	1	1	yes	characteristic
647	C₂×#41	C₂²×C₄	1	1	yes	characteristic
648	C₂×#41	C₂²×C₄	1	1	yes	characteristic
649	C₂×#41	C₂⁴	1	1	yes	characteristic
650	C₂×#41	C₂⁴	1	1	yes	characteristic
651	C₂×#41	C₂⁴	1	1	yes	characteristic
652	C₂×#41	C₂⁴	1	1	yes	characteristic
653	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
654	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
655	C₂²×D₄	—	2	1	no	—
656	C₂²×D₄	—	2	1	no	—
657	C₂²×D₄	—	2	1	no	—
658	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
659	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
660	C₂²×D₄	#41	1	1	yes	characteristic
661	C₂³×C₄	—	2	1	no	—
662	C₂³×C₄	—	2	1	no	—
663	C₂³×C₄	—	2	1	no	—
664	C₂³×C₄	C₂⁴	1	1	yes	characteristic
665	C₂³×C₄	C₂⁴	1	1	yes	characteristic
666	#135	—	4	1	no	—
667	#135	—	4	1	no	—
668	#135	—	4	1	no	—
669	#135	—	4	1	no	—
670	#135	—	4	1	no	—
671	#135	—	4	1	no	—
672	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
673	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
674	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
675	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
676	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
677	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
678	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
679	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
680	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
681	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
682	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
683	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
684	#131	—	4	1	no	—
685	#131	—	4	1	no	—
686	#131	—	4	1	no	—
687	#131	—	4	1	no	—
688	#131	—	4	1	no	—
689	#131	—	4	1	no	—
690	#131	—	4	1	no	—
691	#131	—	4	1	no	—
692	#131	—	4	1	no	—
693	#131	—	4	1	no	—
694	#131	—	4	1	no	—
695	#131	—	4	1	no	—
696	C₂×M₁₆	—	2	1	no	—
697	C₂×M₁₆	—	2	1	no	—
698	C₂×M₁₆	—	2	1	no	—
699	C₂×M₁₆	—	2	1	no	—
700	C₂×M₁₆	—	2	1	no	—
701	C₂×M₁₆	—	2	1	no	—
702	C₂×M₁₆	—	2	1	no	—
703	C₂×M₁₆	—	2	1	no	—
704	C₂×M₁₆	—	2	1	no	—
705	C₂×M₁₆	—	2	1	no	—
706	C₂×M₁₆	—	4	1	no	—
707	C₂×M₁₆	—	4	1	no	—
708	C₂×M₁₆	—	4	1	no	—
709	C₂×M₁₆	—	4	1	no	—
710	C₂×M₁₆	—	4	1	no	—
711	C₂×M₁₆	—	4	1	no	—
712	C₂×M₁₆	—	4	1	no	—
713	C₂×M₁₆	—	4	1	no	—
714	C₂×M₁₆	—	4	1	no	—
715	C₂×M₁₆	—	4	1	no	—
716	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
717	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
718	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
719	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
720	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
721	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
722	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
723	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
724	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
725	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
726	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
727	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
728	C₂²×C₈	—	2	1	no	—
729	C₂²×C₈	—	2	1	no	—
730	C₂²×C₈	—	2	1	no	—
731	C₂²×C₈	—	2	1	no	—
732	C₂²×C₈	—	2	1	no	—
733	C₂²×C₈	—	2	1	no	—
734	C₂²×C₈	—	2	1	no	—
735	C₂²×C₈	—	2	1	no	—
736	C₂²×C₈	—	2	1	no	—
737	C₂²×C₈	—	2	1	no	—
738	C₂²×C₈	—	4	1	no	—
739	C₂²×C₈	—	4	1	no	—
740	C₂²×C₈	—	4	1	no	—
741	C₂²×C₈	—	4	1	no	—
742	C₂²×C₈	—	4	1	no	—
743	C₂²×C₈	—	4	1	no	—
744	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
745	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
746	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
747	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
748	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
749	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
750	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
751	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
752	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
753	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
754	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
755	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
756	C₂²×C₈	C₂⁴	1	1	yes	characteristic
757	C₂²×C₈	C₂⁴	1	1	yes	characteristic
758	C₂²×C₈	C₂⁴	1	1	yes	characteristic
759	C₂²×C₈	C₂⁴	1	1	yes	characteristic
760	C₂²×C₈	C₂⁴	1	1	yes	characteristic
761	C₂²×C₈	C₂⁴	1	1	yes	characteristic
762	C₂²×C₈	C₂⁴	1	1	yes	characteristic
763	C₂²×C₈	C₂⁴	1	1	yes	characteristic
764	C₄⋊Q₈	—	2	1	no	—
765	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
766	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
767	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
768	#127	—	2	1	no	—
769	#127	C₂²×C₄	1	1	yes	characteristic
770	#126	—	2	1	no	—
771	#126	—	2	1	no	—
772	#126	—	2	1	no	—
773	#126	—	2	1	no	—
774	#126	—	2	1	no	—
775	#126	—	2	1	no	—
776	#125	—	2	1	no	—
777	#125	—	2	1	no	—
778	#125	—	2	1	no	—
779	#125	C₂²×C₄	1	1	yes	characteristic
780	#125	C₂²×C₄	1	1	yes	characteristic
781	#124	—	2	1	no	—
782	#124	—	2	1	no	—
783	#124	—	2	1	no	—
784	#124	—	2	1	no	—
785	#124	—	2	1	no	—
786	#124	C₂²×C₄	1	1	yes	characteristic
787	#124	C₂²×C₄	1	1	yes	characteristic
788	#123	—	2	1	no	—
789	#123	—	2	1	no	—
790	#123	—	2	1	no	—
791	#123	—	2	1	no	—
792	#123	—	2	1	no	—
793	#123	—	2	1	no	—
794	#123	—	2	1	no	—
795	#123	—	2	1	no	—
796	#123	—	2	1	no	—
797	#123	—	2	1	no	—
798	#123	—	2	1	no	—
799	#123	—	2	1	no	—
800	#123	—	2	1	no	—
801	#123	—	2	1	no	—
802	C₂²⋊Q₈	—	2	1	no	—
803	C₂²⋊Q₈	—	2	1	no	—
804	C₂²⋊Q₈	—	2	1	no	—
805	C₂²⋊Q₈	—	2	1	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	1	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	—	2	1	no	—
810	C₂²⋊Q₈	—	2	1	no	—
811	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
812	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
813	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
814	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
815	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
816	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
817	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
818	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	C₂²×C₄	1	1	yes	characteristic
833	#121	C₂²×C₄	1	1	yes	characteristic
834	#121	C₂²×C₄	1	1	yes	characteristic
835	#121	C₂²×C₄	1	1	yes	characteristic
836	#121	C₂²×C₄	1	1	yes	characteristic
837	#121	C₂²×C₄	1	1	yes	characteristic
838	#121	C₂²×C₄	1	1	yes	characteristic
839	#121	C₂²×C₄	1	1	yes	characteristic
840	#120	—	2	1	no	—
841	#120	—	2	1	no	—
842	#120	—	2	1	no	—
843	#120	—	2	1	no	—
844	#120	—	2	1	no	—
845	#120	—	2	1	no	—
846	#120	—	2	1	no	—
847	#120	—	2	1	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
852	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
853	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
854	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
877	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
878	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
879	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
880	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
881	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
882	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
883	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
884	C₄×D₄	C₂×D₄	1	1	yes	characteristic
885	C₄×D₄	C₂×D₄	1	1	yes	characteristic
886	C₄×D₄	C₂×D₄	1	1	yes	characteristic
887	C₄×D₄	C₂×D₄	1	1	yes	characteristic
888	#117	—	2	1	no	—
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	—	2	1	no	—
894	#117	—	2	1	no	—
895	#117	—	2	1	no	—
896	#117	—	2	1	no	—
897	#117	—	2	2	no	—
898	#117	—	4	1	no	—
899	#117	C₂²×C₄	1	1	yes	characteristic
900	#117	C₂²×C₄	1	1	yes	characteristic
901	#117	C₂²×C₄	1	1	yes	characteristic
902	#117	C₂²×C₄	1	1	yes	characteristic
903	#117	C₂⁴	1	1	yes	characteristic
904	#117	C₂⁴	1	1	yes	characteristic
905	#117	C₂⁴	1	1	yes	characteristic
906	#117	C₂⁴	1	1	yes	characteristic
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	—	2	1	no	—
909	C₂×C₄⋊C₄	—	2	1	no	—
910	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
914	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	—	2	1	no	—
916	C₂×C₂²⋊C₄	—	2	1	no	—
917	C₂×C₂²⋊C₄	—	2	1	no	—
918	C₂×C₂²⋊C₄	—	2	1	no	—
919	C₂×C₂²⋊C₄	—	2	1	no	—
920	C₂×C₂²⋊C₄	—	2	1	no	—
921	C₂×C₂²⋊C₄	—	2	1	no	—
922	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
924	C₂×C₄²	—	2	1	no	—
925	C₂×C₄²	—	2	1	no	—
926	C₂×C₄²	—	2	1	no	—
927	C₂×C₄²	—	2	1	no	—
928	C₂×C₄²	—	2	2	no	—
929	C₂×C₄²	—	2	1	no	—
930	C₂×C₄²	—	4	1	no	—
931	C₂×C₄²	C₂⁴	1	1	yes	characteristic
932	C₂×C₄²	C₂⁴	1	1	yes	characteristic
933	C₂×C₄²	C₂⁴	1	1	yes	characteristic
934	C₂×C₄²	C₂⁴	1	1	yes	characteristic
935	C₂×C₄²	C₂⁴	1	1	yes	characteristic
936	#108	—	4	1	no	—
937	#108	—	4	1	no	—
938	#108	—	4	1	no	—
939	#108	—	4	1	no	—
940	#108	—	4	1	no	—
941	#108	—	4	1	no	—
942	#107	C₂²×C₄	1	1	yes	characteristic
943	#107	C₂²×C₄	1	1	yes	characteristic
944	#107	C₂²×C₄	1	1	yes	characteristic
945	#107	C₂²×C₄	1	1	yes	characteristic
946	#107	C₂²×C₄	1	1	yes	characteristic
947	#107	C₂²×C₄	1	1	yes	characteristic
948	#106	C₂²×C₄	1	1	yes	characteristic
949	#106	C₂²×C₄	1	1	yes	characteristic
950	#106	C₂²×C₄	1	1	yes	characteristic
951	#106	C₂²×C₄	1	1	yes	characteristic
952	#106	C₂²×C₄	1	1	yes	characteristic
953	#106	C₂²×C₄	1	1	yes	characteristic
954	C₄⋊C₈	—	2	1	no	—
955	C₄⋊C₈	—	2	1	no	—
956	C₄⋊C₈	—	2	1	no	—
957	C₄⋊C₈	—	2	1	no	—
958	C₄⋊C₈	—	2	1	no	—
959	C₄⋊C₈	—	2	1	no	—
960	C₄⋊C₈	—	2	1	no	—
961	C₄⋊C₈	—	2	1	no	—
962	C₄⋊C₈	—	2	1	no	—
963	C₄⋊C₈	—	2	1	no	—
964	C₄⋊C₈	—	2	1	no	—
965	C₄⋊C₈	—	2	1	no	—
966	C₄⋊C₈	—	2	1	no	—
967	C₄⋊C₈	—	2	1	no	—
968	C₄⋊C₈	—	2	1	no	—
969	C₄⋊C₈	—	2	1	no	—
970	C₄⋊C₈	—	2	1	no	—
971	C₄⋊C₈	—	2	1	no	—
972	C₄⋊C₈	—	2	1	no	—
973	C₄⋊C₈	—	2	1	no	—
974	C₄⋊C₈	—	2	1	no	—
975	C₄⋊C₈	—	2	1	no	—
976	C₄⋊C₈	—	2	1	no	—
977	C₄⋊C₈	—	2	1	no	—
978	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
979	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
980	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
981	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
982	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
983	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
984	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
985	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
986	#104	—	2	2	no	—
987	#104	—	2	2	no	—
988	#104	—	2	2	no	—
989	#104	—	2	2	no	—
990	#104	—	4	1	no	—
991	#104	—	4	1	no	—
992	#104	—	4	1	no	—
993	#104	—	4	1	no	—
994	#104	—	4	1	no	—
995	#104	—	4	1	no	—
996	#104	—	4	1	no	—
997	#104	—	4	1	no	—
998	#104	—	4	1	no	—
999	#104	—	4	1	no	—
1000	#104	—	4	1	no	—
1001	#104	—	4	1	no	—
1002	#103	C₂²×C₄	1	1	yes	characteristic
1003	#103	C₂²×C₄	1	1	yes	characteristic
1004	#103	C₂²×C₄	1	1	yes	characteristic
1005	#103	C₂²×C₄	1	1	yes	characteristic
1006	#103	C₂²×C₄	1	1	yes	characteristic
1007	#103	C₂²×C₄	1	1	yes	characteristic
1008	#103	C₂²×C₄	1	1	yes	characteristic
1009	#103	C₂²×C₄	1	1	yes	characteristic
1010	#103	C₂²×C₄	1	1	yes	characteristic
1011	#103	C₂²×C₄	1	1	yes	characteristic
1012	#103	C₂²×C₄	1	1	yes	characteristic
1013	#103	C₂²×C₄	1	1	yes	characteristic
1014	#103	C₂²×C₄	1	1	yes	characteristic
1015	#103	C₂²×C₄	1	1	yes	characteristic
1016	#103	C₂²×C₄	1	1	yes	characteristic
1017	#103	C₂²×C₄	1	1	yes	characteristic
1018	#103	C₂²×C₄	1	1	yes	characteristic
1019	#103	C₂²×C₄	1	1	yes	characteristic
1020	#103	C₂²×C₄	1	1	yes	characteristic
1021	#103	C₂²×C₄	1	1	yes	characteristic
1022	#102	C₂²×C₄	1	1	yes	characteristic
1023	#102	C₂²×C₄	1	1	yes	characteristic
1024	#102	C₂²×C₄	1	1	yes	characteristic
1025	#102	C₂²×C₄	1	1	yes	characteristic
1026	#102	C₂²×C₄	1	1	yes	characteristic
1027	#102	C₂²×C₄	1	1	yes	characteristic
1028	#102	C₂²×C₄	1	1	yes	characteristic
1029	#102	C₂²×C₄	1	1	yes	characteristic
1030	#102	C₂²×C₄	1	1	yes	characteristic
1031	#102	C₂²×C₄	1	1	yes	characteristic
1032	#102	C₂²×C₄	1	1	yes	characteristic
1033	#102	C₂²×C₄	1	1	yes	characteristic
1034	#102	C₂²×C₄	1	1	yes	characteristic
1035	#102	C₂²×C₄	1	1	yes	characteristic
1036	#102	C₂²×C₄	1	1	yes	characteristic
1037	#102	C₂²×C₄	1	1	yes	characteristic
1038	#102	C₂²×C₄	1	1	yes	characteristic
1039	#102	C₂²×C₄	1	1	yes	characteristic
1040	#102	C₂²×C₄	1	1	yes	characteristic
1041	#102	C₂²×C₄	1	1	yes	characteristic
1042	C₂²⋊C₈	—	2	1	no	—
1043	C₂²⋊C₈	—	2	1	no	—
1044	C₂²⋊C₈	—	2	1	no	—
1045	C₂²⋊C₈	—	2	1	no	—
1046	C₂²⋊C₈	—	2	1	no	—
1047	C₂²⋊C₈	—	2	1	no	—
1048	C₂²⋊C₈	—	2	1	no	—
1049	C₂²⋊C₈	—	2	1	no	—
1050	C₂²⋊C₈	—	2	1	no	—
1051	C₂²⋊C₈	—	2	1	no	—
1052	C₂²⋊C₈	—	2	1	no	—
1053	C₂²⋊C₈	—	2	1	no	—
1054	C₂²⋊C₈	—	2	1	no	—
1055	C₂²⋊C₈	—	2	1	no	—
1056	C₂²⋊C₈	—	2	1	no	—
1057	C₂²⋊C₈	—	2	1	no	—
1058	C₂²⋊C₈	—	2	1	no	—
1059	C₂²⋊C₈	—	2	1	no	—
1060	C₂²⋊C₈	—	2	1	no	—
1061	C₂²⋊C₈	—	2	1	no	—
1062	C₂²⋊C₈	—	2	1	no	—
1063	C₂²⋊C₈	—	2	1	no	—
1064	C₂²⋊C₈	—	2	1	no	—
1065	C₂²⋊C₈	—	2	1	no	—
1066	C₂²⋊C₈	—	2	1	no	—
1067	C₂²⋊C₈	—	2	1	no	—
1068	C₂²⋊C₈	—	2	1	no	—
1069	C₂²⋊C₈	—	2	1	no	—
1070	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1071	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1072	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1073	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1074	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1075	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1076	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1077	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1078	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1079	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1080	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1081	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1082	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1083	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1084	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1085	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1086	#97	—	2	1	no	—
1087	#97	—	2	1	no	—
1088	#97	—	2	1	no	—
1089	#97	—	2	1	no	—
1090	#97	—	2	1	no	—
1091	#97	—	2	1	no	—
1092	#97	—	2	1	no	—
1093	#97	—	2	1	no	—
1094	#97	—	2	2	no	—
1095	#97	—	4	1	no	—
1096	#97	—	4	1	no	—
1097	#97	—	4	1	no	—
1098	#97	C₂²×C₄	1	1	yes	characteristic
1099	#97	C₂²×C₄	1	1	yes	characteristic
1100	#97	C₂²×C₄	1	1	yes	characteristic
1101	#97	C₂²×C₄	1	1	yes	characteristic
1102	C₄×C₈	—	2	1	no	—
1103	C₄×C₈	—	2	1	no	—
1104	C₄×C₈	—	2	1	no	—
1105	C₄×C₈	—	2	1	no	—
1106	C₄×C₈	—	2	1	no	—
1107	C₄×C₈	—	2	1	no	—
1108	C₄×C₈	—	2	1	no	—
1109	C₄×C₈	—	2	1	no	—
1110	C₄×C₈	—	2	2	no	—
1111	C₄×C₈	—	2	2	no	—
1112	C₄×C₈	—	4	1	no	—
1113	C₄×C₈	—	4	1	no	—
1114	C₄×C₈	—	4	1	no	—
1115	C₄×C₈	—	4	1	no	—
1116	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1117	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1118	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1119	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1120	#95	—	2	1	no	—
1121	#95	—	2	1	no	—
1122	#95	—	2	1	no	—
1123	#95	—	2	1	no	—
1124	#95	—	2	1	no	—
1125	C₂⁴	—	2	1	no	—
1126	C₂⁴	—	2	1	no	—
1127	C₂⁴	C₂×#41	1	1	yes	characteristic
1128	C₂⁴	C₂×#41	1	1	yes	characteristic
1129	#41	—	2	1	no	—
1130	#41	—	2	1	no	—
1131	#41	—	2	1	no	—
1132	#41	—	2	1	no	—
1133	#41	—	2	1	no	—
1134	#41	—	2	1	no	—
1135	#41	—	2	1	no	—
1136	#41	—	2	1	no	—
1137	#41	—	2	1	no	—
1138	#41	—	2	1	no	—
1139	#41	—	2	1	no	—
1140	#41	—	2	1	no	—
1141	#41	—	2	1	no	—
1142	#41	—	2	1	no	—
1143	#41	—	2	1	no	—
1144	#41	—	2	1	no	—
1145	#41	—	4	1	no	—
1146	#41	—	4	1	no	—
1147	#41	—	4	1	no	—
1148	#41	—	4	1	no	—
1149	#41	—	4	1	no	—
1150	#41	—	4	1	no	—
1151	#41	—	4	1	no	—
1152	#41	—	4	1	no	—
1153	#41	—	4	4	no	—
1154	#41	—	8	1	no	—
1155	#41	—	8	1	no	—
1156	#41	—	8	1	no	—
1157	#41	—	8	1	no	—
1158	#41	—	8	1	no	—
1159	#41	—	8	1	no	—
1160	#41	—	8	1	no	—
1161	#41	—	8	1	no	—
1162	C₂×Q₈	—	2	1	no	—
1163	C₂×Q₈	—	2	1	no	—
1164	C₂×Q₈	—	2	1	no	—
1165	C₂×Q₈	—	2	1	no	—
1166	C₂×Q₈	—	4	1	no	—
1167	C₂×Q₈	—	4	1	no	—
1168	C₂×Q₈	—	4	1	no	—
1169	C₂×Q₈	—	4	1	no	—
1170	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1171	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1172	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1173	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1174	C₂×D₄	—	2	1	no	—
1175	C₂×D₄	—	2	1	no	—
1176	C₂×D₄	—	2	1	no	—
1177	C₂×D₄	—	2	1	no	—
1178	C₂×D₄	—	2	1	no	—
1179	C₂×D₄	—	2	1	no	—
1180	C₂×D₄	—	2	1	no	—
1181	C₂×D₄	—	2	1	no	—
1182	C₂×D₄	—	2	1	no	—
1183	C₂×D₄	—	2	1	no	—
1184	C₂×D₄	—	2	1	no	—
1185	C₂×D₄	—	2	1	no	—
1186	C₂×D₄	—	2	1	no	—
1187	C₂×D₄	—	2	1	no	—
1188	C₂×D₄	—	2	1	no	—
1189	C₂×D₄	—	2	1	no	—
1190	C₂×D₄	—	2	1	no	—
1191	C₂×D₄	—	2	1	no	—
1192	C₂×D₄	—	2	1	no	—
1193	C₂×D₄	—	2	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	2	no	—
1199	C₂×D₄	—	4	4	no	—
1200	C₂×D₄	—	8	1	no	—
1201	C₂×D₄	—	8	1	no	—
1202	C₂×D₄	—	8	1	no	—
1203	C₂×D₄	—	8	1	no	—
1204	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1205	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1206	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1207	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1208	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1209	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1210	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1211	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1212	C₂²×C₄	—	2	1	no	—
1213	C₂²×C₄	—	2	1	no	—
1214	C₂²×C₄	—	2	1	no	—
1215	C₂²×C₄	—	2	1	no	—
1216	C₂²×C₄	—	2	1	no	—
1217	C₂²×C₄	—	2	1	no	—
1218	C₂²×C₄	—	2	1	no	—
1219	C₂²×C₄	—	2	1	no	—
1220	C₂²×C₄	—	2	1	no	—
1221	C₂²×C₄	—	2	1	no	—
1222	C₂²×C₄	—	2	1	no	—
1223	C₂²×C₄	—	2	1	no	—
1224	C₂²×C₄	—	2	1	no	—
1225	C₂²×C₄	—	2	1	no	—
1226	C₂²×C₄	—	2	1	no	—
1227	C₂²×C₄	—	2	1	no	—
1228	C₂²×C₄	—	2	1	no	—
1229	C₂²×C₄	—	2	1	no	—
1230	C₂²×C₄	—	2	1	no	—
1231	C₂²×C₄	—	2	1	no	—
1232	C₂²×C₄	—	2	1	no	—
1233	C₂²×C₄	—	2	1	no	—
1234	C₂²×C₄	—	2	1	no	—
1235	C₂²×C₄	—	2	1	no	—
1236	C₂²×C₄	—	2	1	no	—
1237	C₂²×C₄	—	2	1	no	—
1238	C₂²×C₄	—	2	1	no	—
1239	C₂²×C₄	—	2	1	no	—
1240	C₂²×C₄	—	2	1	no	—
1241	C₂²×C₄	—	2	1	no	—
1242	C₂²×C₄	—	4	2	no	—
1243	C₂²×C₄	—	4	2	no	—
1244	C₂²×C₄	—	4	2	no	—
1245	C₂²×C₄	—	8	1	no	—
1246	C₂²×C₄	—	8	1	no	—
1247	C₂²×C₄	—	8	1	no	—
1248	C₂²×C₄	—	8	1	no	—
1249	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1253	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1254	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1255	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1256	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1257	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1258	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1259	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1260	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1262	Q₁₆	—	4	1	no	—
1263	Q₁₆	—	4	1	no	—
1264	Q₁₆	—	4	1	no	—
1265	SD₁₆	—	4	1	no	—
1266	SD₁₆	—	4	1	no	—
1267	SD₁₆	—	4	1	no	—
1268	SD₁₆	—	4	1	no	—
1269	SD₁₆	—	4	1	no	—
1270	SD₁₆	—	4	1	no	—
1271	D₈	—	4	1	no	—
1272	D₈	—	4	1	no	—
1273	D₈	—	4	1	no	—
1274	M₁₆	—	2	1	no	—
1275	M₁₆	—	2	1	no	—
1276	M₁₆	—	2	1	no	—
1277	M₁₆	—	2	1	no	—
1278	M₁₆	—	2	1	no	—
1279	M₁₆	—	2	1	no	—
1280	M₁₆	—	2	1	no	—
1281	M₁₆	—	2	1	no	—
1282	M₁₆	—	2	1	no	—
1283	M₁₆	—	2	1	no	—
1284	M₁₆	—	2	1	no	—
1285	M₁₆	—	2	1	no	—
1286	M₁₆	—	2	1	no	—
1287	M₁₆	—	2	1	no	—
1288	M₁₆	—	2	1	no	—
1289	M₁₆	—	2	1	no	—
1290	M₁₆	—	4	1	no	—
1291	M₁₆	—	4	1	no	—
1292	M₁₆	—	4	1	no	—
1293	M₁₆	—	4	1	no	—
1294	M₁₆	—	8	1	no	—
1295	M₁₆	—	8	1	no	—
1296	M₁₆	—	8	1	no	—
1297	M₁₆	—	8	1	no	—
1298	M₁₆	—	8	1	no	—
1299	M₁₆	—	8	1	no	—
1300	M₁₆	—	8	1	no	—
1301	M₁₆	—	8	1	no	—
1302	M₁₆	—	8	1	no	—
1303	M₁₆	—	8	1	no	—
1304	C₂×C₈	—	2	1	no	—
1305	C₂×C₈	—	2	1	no	—
1306	C₂×C₈	—	2	1	no	—
1307	C₂×C₈	—	2	1	no	—
1308	C₂×C₈	—	2	1	no	—
1309	C₂×C₈	—	2	1	no	—
1310	C₂×C₈	—	2	1	no	—
1311	C₂×C₈	—	2	1	no	—
1312	C₂×C₈	—	2	1	no	—
1313	C₂×C₈	—	2	1	no	—
1314	C₂×C₈	—	2	1	no	—
1315	C₂×C₈	—	2	1	no	—
1316	C₂×C₈	—	2	1	no	—
1317	C₂×C₈	—	2	1	no	—
1318	C₂×C₈	—	2	1	no	—
1319	C₂×C₈	—	2	1	no	—
1320	C₂×C₈	—	2	1	no	—
1321	C₂×C₈	—	2	1	no	—
1322	C₂×C₈	—	2	1	no	—
1323	C₂×C₈	—	2	1	no	—
1324	C₂×C₈	—	2	1	no	—
1325	C₂×C₈	—	2	1	no	—
1326	C₂×C₈	—	2	1	no	—
1327	C₂×C₈	—	2	1	no	—
1328	C₂×C₈	—	4	1	no	—
1329	C₂×C₈	—	4	1	no	—
1330	C₂×C₈	—	4	1	no	—
1331	C₂×C₈	—	4	1	no	—
1332	C₂×C₈	—	4	1	no	—
1333	C₂×C₈	—	4	1	no	—
1334	C₂×C₈	—	4	1	no	—
1335	C₂×C₈	—	4	1	no	—
1336	C₂×C₈	—	4	1	no	—
1337	C₂×C₈	—	4	1	no	—
1338	C₂×C₈	—	4	1	no	—
1339	C₂×C₈	—	4	1	no	—
1340	C₂×C₈	—	8	1	no	—
1341	C₂×C₈	—	8	1	no	—
1342	C₂×C₈	—	8	1	no	—
1343	C₂×C₈	—	8	1	no	—
1344	C₂×C₈	—	8	1	no	—
1345	C₂×C₈	—	8	1	no	—
1346	C₂×C₈	—	8	1	no	—
1347	C₂×C₈	—	8	1	no	—
1348	C₂×C₈	—	8	1	no	—
1349	C₂×C₈	—	8	1	no	—
1350	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1351	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1352	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1353	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1354	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1355	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1356	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1357	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1358	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1359	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1360	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1361	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1362	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1363	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1364	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1365	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	4	2	no	—
1391	C₄⋊C₄	—	4	2	no	—
1392	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1393	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1394	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1395	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1396	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1397	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1398	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1399	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	4	2	no	—
1437	C₂²⋊C₄	—	4	2	no	—
1438	C₂²⋊C₄	—	4	2	no	—
1439	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1440	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1441	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1442	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1443	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1444	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1445	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1446	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	2	1	no	—
1461	C₄²	—	2	1	no	—
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	4	2	no	—
1467	C₄²	C₂³×C₄	1	1	yes	characteristic
1468	C₄²	C₂³×C₄	1	1	yes	characteristic
1469	C₄²	C₂²×D₄	1	1	yes	characteristic
1470	C₄²	C₂²×D₄	1	1	yes	characteristic
1471	C₄²	H(5,𝔽₂)	1	2	yes	—
1472	C₂³	—	2	2	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	4	1	no	—
1482	C₂³	—	4	1	no	—
1483	C₂³	—	4	1	no	—
1484	C₂³	—	4	2	no	—
1485	C₂³	—	4	2	no	—
1486	C₂³	—	8	1	no	—
1487	C₂³	—	8	1	no	—
1488	C₂³	—	8	1	no	—
1489	C₂³	—	8	1	no	—
1490	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1491	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1492	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1493	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1494	C₂³	C₂²×#41	1	1	yes	characteristic
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	2	1	no	—
1501	Q₈	—	2	1	no	—
1502	Q₈	—	2	1	no	—
1503	Q₈	—	4	2	no	—
1504	Q₈	—	8	1	no	—
1505	Q₈	—	8	1	no	—
1506	Q₈	—	8	1	no	—
1507	D₄	—	2	2	no	—
1508	D₄	—	2	2	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	2	1	no	—
1514	D₄	—	2	1	no	—
1515	D₄	—	2	1	no	—
1516	D₄	—	2	1	no	—
1517	D₄	—	4	1	no	—
1518	D₄	—	4	1	no	—
1519	D₄	—	4	2	no	—
1520	D₄	—	4	2	no	—
1521	D₄	—	4	2	no	—
1522	D₄	—	4	2	no	—
1523	D₄	—	4	2	no	—
1524	D₄	—	4	1	no	—
1525	D₄	—	4	1	no	—
1526	D₄	—	4	1	no	—
1527	D₄	—	4	1	no	—
1528	D₄	—	4	1	no	—
1529	D₄	—	4	1	no	—
1530	D₄	—	4	1	no	—
1531	D₄	—	4	1	no	—
1532	D₄	—	8	1	no	—
1533	D₄	—	8	1	no	—
1534	D₄	—	8	1	no	—
1535	D₄	—	8	1	no	—
1536	D₄	—	8	1	no	—
1537	D₄	—	8	1	no	—
1538	D₄	—	8	1	no	—
1539	D₄	—	8	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	8	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	2	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	2	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	1	no	—
1582	C₂×C₄	—	4	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	2	no	—
1585	C₂×C₄	—	4	8	no	—
1586	C₂×C₄	—	4	2	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	4	1	no	—
1590	C₂×C₄	—	4	1	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1613	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1614	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1615	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1616	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1617	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1618	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1619	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1620	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1621	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1622	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1623	C₂×C₄	#585	1	1	yes	characteristic
1624	C₂×C₄	#585	1	1	yes	characteristic
1625	C₂×C₄	#585	1	1	yes	characteristic
1626	C₈	—	2	1	no	—
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₈	—	2	1	no	—
1641	C₈	—	2	1	no	—
1642	C₈	—	4	1	no	—
1643	C₈	—	4	1	no	—
1644	C₈	—	4	1	no	—
1645	C₈	—	4	1	no	—
1646	C₈	—	4	1	no	—
1647	C₈	—	4	1	no	—
1648	C₈	—	4	1	no	—
1649	C₈	—	4	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	4	2	no	—
1664	C₂²	—	4	2	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	1	no	—
1677	C₂²	—	8	1	no	—
1678	C₂²	—	8	1	no	—
1679	C₂²	—	16	2	no	—
1680	C₂²	—	16	2	no	—
1681	C₂²	#2955	1	2	yes	—
1682	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1683	C₂²	#3513	1	1	yes	characteristic
1684	C₂²	#3521	1	1	yes	characteristic
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	4	2	no	—
1694	C₄	—	4	2	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	8	1	no	—
1708	C₄	—	8	1	no	—
1709	C₄	#3428	1	1	yes	characteristic
1710	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1711	C₄	#3496	1	1	yes	characteristic
1712	C₄	#3500	1	1	yes	characteristic
1713	C₂	—	2	1	no	—
1714	C₂	—	2	1	no	—
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	4	1	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	8	1	no	—
1722	C₂	—	8	1	no	—
1723	C₂	#34309	1	1	yes	characteristic
1724	C₂	C₂×#2955	1	1	yes	characteristic
1725	C₂	#60183	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	#61141	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₈×D₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60271	C₂	semidirect
3. #60239	C₂	semidirect
4. #23236	C₂	semidirect
5. #23148	C₂	semidirect
6. #23147	C₂	semidirect
7. #23082	C₂	semidirect
8. #23017	C₂	semidirect
9. #22951	C₂	semidirect
10. #22950	C₂	semidirect
11. #22889	C₂	semidirect
12. #22886	C₂	semidirect
13. #22784	C₂	semidirect
14. #22718	C₂	semidirect
15. #22588	C₂	semidirect
16. #22586	C₂	semidirect
17. #22506	C₂	semidirect
18. #22434	C₂	semidirect
19. #22165	C₂	semidirect
20. #22130	C₂	semidirect
21. #22095	C₂	semidirect
22. #22095	C₂	semidirect
23. #22060	C₂	semidirect
24. #22060	C₂	semidirect
25. #21663	C₂	semidirect
26. #21550	C₂	semidirect
27. #21544	C₂	semidirect
28. #21296	C₂	semidirect
29. #21100	C₂	semidirect
30. C₂×#1937	C₂	semidirect
31. #20484	C₂	semidirect
34. #3321	C₄	semidirect
35. #3320	C₄	semidirect
36. #3319	C₄	semidirect
37. #3318	C₄	semidirect
38. #3317	C₄	semidirect
39. #3316	C₄	semidirect
40. #3315	C₄	semidirect
41. #3314	C₄	semidirect
42. #3313	C₄	semidirect
43. #3312	C₄	semidirect
44. #3311	C₄	semidirect
45. #3310	C₄	semidirect
46. #3309	C₄	semidirect
47. #3308	C₄	semidirect
48. #3307	C₄	semidirect
49. #3306	C₄	semidirect
75. #2962	C₂²	semidirect
76. #2960	C₂²	semidirect
77. C₂×#444	C₂²	semidirect
78. C₂×#443	C₂²	semidirect
85. #2933	C₂²	semidirect
86. #2933	C₂²	semidirect
90. #2929	C₂²	semidirect
91. #2929	C₂²	semidirect
95. #2924	C₂²	semidirect
96. #2924	C₂²	semidirect
98. #2922	C₂²	semidirect
99. #2906	C₂²	semidirect
100. C₂×#424	C₂²	semidirect
101. C₂×#424	C₂²	semidirect
110. C₂×#405	C₂²	semidirect
111. C₂²×C₄×C₈	C₂²	semidirect
113. #1995	C₂²	semidirect
114. #1986	C₂²	semidirect
118. #1974	C₂²	semidirect
119. #1974	C₂²	semidirect
121. #1950	C₂²	semidirect
122. #1950	C₂²	semidirect
123. #1946	C₂²	semidirect
124. #1945	C₂²	semidirect
125. #1945	C₂²	semidirect
126. #1945	C₂²	semidirect
130. #1938	C₂²	semidirect
131. #1938	C₂²	semidirect
132. #1938	C₂²	semidirect
138. #1937	C₂²	semidirect
139. #1937	C₂²	semidirect
140. #1937	C₂²	semidirect
141. #1937	C₂²	semidirect
142. #1937	C₂²	semidirect
143. #1937	C₂²	semidirect
144. #1937	C₂²	semidirect
145. #1937	C₂²	semidirect
146. #1937	C₂²	semidirect
151. #1929	C₂²	semidirect
152. #1929	C₂²	semidirect
153. #1922	C₂²	semidirect
154. #1922	C₂²	semidirect
155. #1922	C₂²	semidirect
156. #1922	C₂²	semidirect
157. #1922	C₂²	semidirect
158. #1922	C₂²	semidirect
160. #1897	C₂²	semidirect
162. #1896	C₂²	semidirect
165. #1876	C₂²	semidirect
166. #1876	C₂²	semidirect
167. #1876	C₂²	semidirect
168. #1876	C₂²	semidirect
171. #1871	C₂²	semidirect
172. #1871	C₂²	semidirect
173. #1866	C₂²	semidirect
174. #1866	C₂²	semidirect
175. #1866	C₂²	semidirect
176. #1866	C₂²	semidirect
177. #1866	C₂²	semidirect
178. #1866	C₂²	semidirect
179. #1855	C₂²	semidirect
180. #1855	C₂²	semidirect
181. #1855	C₂²	semidirect
182. #1855	C₂²	semidirect
183. #1838	C₂²	semidirect
184. #1826	C₂²	semidirect
185. #1826	C₂²	semidirect
186. #1811	C₂²	semidirect
187. #1810	C₂²	semidirect
189. #1806	C₂²	semidirect
192. #1778	C₂²	semidirect
193. #1773	C₂²	semidirect
194. #1772	C₂²	semidirect
195. #1771	C₂²	semidirect
196. C₈×C₄⋊C₄	C₂²	semidirect
197. #1768	C₂²	semidirect
198. #1765	C₂²	semidirect
199. #1765	C₂²	semidirect
200. #1765	C₂²	semidirect
201. #1765	C₂²	semidirect
202. #1765	C₂²	semidirect
203. #1765	C₂²	semidirect
204. #1764	C₂²	semidirect
205. #1764	C₂²	semidirect
207. #1759	C₂²	semidirect
208. #1753	C₂²	semidirect
209. #1752	C₂²	semidirect
210. C₈×C₂²⋊C₄	C₂²	semidirect
211. C₈×C₂²⋊C₄	C₂²	semidirect
212. #1750	C₂²	semidirect
213. #1749	C₂²	semidirect
214. #1738	C₂²	semidirect
215. C₂×#341	C₂²	semidirect
216. #1733	C₂²	semidirect
217. C₂×#339	C₂²	semidirect
218. #1726	C₂²	semidirect
283. #491	C₂×C₄	semidirect
284. #491	C₂×C₄	semidirect
285. #490	C₂×C₄	semidirect
286. #490	C₂×C₄	semidirect
287. #489	C₂×C₄	semidirect
288. #489	C₂×C₄	semidirect
289. #489	C₂×C₄	semidirect
290. #489	C₂×C₄	semidirect
293. #485	C₂×C₄	semidirect
294. #485	C₂×C₄	semidirect
296. #484	C₂×C₄	semidirect
298. #483	C₂×C₄	semidirect
301. #482	C₂×C₄	semidirect
302. #482	C₂×C₄	semidirect
304. #481	C₂×C₄	semidirect
306. #480	C₂×C₄	semidirect
307. #479	C₂×C₄	semidirect
308. #479	C₂×C₄	semidirect
309. #478	C₂×C₄	semidirect
310. #478	C₂×C₄	semidirect
311. #477	C₂×C₄	semidirect
312. #476	C₂×C₄	semidirect
313. #475	C₂×C₄	semidirect
314. #474	C₂×C₄	semidirect
315. #470	C₂×C₄	semidirect
316. #470	C₂×C₄	semidirect
317. #469	C₂×C₄	semidirect
318. #469	C₂×C₄	semidirect
319. #468	C₂×C₄	semidirect
320. #468	C₂×C₄	semidirect
321. #468	C₂×C₄	semidirect
322. #468	C₂×C₄	semidirect
331. #464	C₂×C₄	semidirect
332. #464	C₂×C₄	semidirect
333. #463	C₂×C₄	semidirect
334. #463	C₂×C₄	semidirect
335. #462	C₂×C₄	semidirect
336. #461	C₂×C₄	semidirect
337. #460	C₂×C₄	semidirect
338. #459	C₂×C₄	semidirect
341. #452	C₂×C₄	semidirect
342. #452	C₂×C₄	semidirect
344. #451	C₂×C₄	semidirect
346. #450	C₂×C₄	semidirect
349. #449	C₂×C₄	semidirect
350. #449	C₂×C₄	semidirect
352. #448	C₂×C₄	semidirect
354. #447	C₂×C₄	semidirect
365. #442	C₂×C₄	semidirect
366. #442	C₂×C₄	semidirect
367. #441	C₂×C₄	semidirect
368. #441	C₂×C₄	semidirect
369. #440	C₂×C₄	semidirect
370. #440	C₂×C₄	semidirect
371. #440	C₂×C₄	semidirect
372. #440	C₂×C₄	semidirect
510. #419	C₂×C₄	semidirect
511. #419	C₂×C₄	semidirect
512. #418	C₂×C₄	semidirect
513. #418	C₂×C₄	semidirect
514. #417	C₂×C₄	semidirect
515. #417	C₂×C₄	semidirect
516. #417	C₂×C₄	semidirect
517. #417	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
#61141	2
#60271	2
#60239	2
#23236	2
#23148	2
#23147	2
#23082	2
#23017	2
#22951	2
#22950	2
#22889	2
#22886	2
#22784	2
#22718	2
#22588	2
#22586	2
#22506	2
#22434	2
#22165	2
#22130	2
#22095	2
#22060	2
#21663	2
#21550	2
#21544	2
#21296	2
#21100	2
C₂×#1937	2
#20484	2