Subgroups — #6388351

Order 512.

1657 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60557	C₂	1	1	yes	maximal, characteristic
2	#60267	C₂	1	1	yes	maximal, characteristic, complemented
3	#60126	C₂	1	1	yes	maximal, characteristic, complemented
4	#23115	C₂	1	1	yes	maximal, characteristic, complemented
5	#23115	C₂	1	1	yes	maximal, characteristic, complemented
6	#23114	C₂	1	1	yes	maximal, characteristic, complemented
7	#23113	C₂	1	1	yes	maximal, characteristic, complemented
8	#23082	C₂	1	1	yes	maximal, characteristic, complemented
9	#23082	C₂	1	1	yes	maximal, characteristic, complemented
10	#23081	C₂	1	1	yes	maximal, characteristic, complemented
11	#23080	C₂	1	1	yes	maximal, characteristic, complemented
12	#22804	C₂	1	1	yes	maximal, characteristic, complemented
13	#22804	C₂	1	1	yes	maximal, characteristic, complemented
14	#22803	C₂	1	1	yes	maximal, characteristic, complemented
15	#22802	C₂	1	1	yes	maximal, characteristic, complemented
16	#22784	C₂	1	1	yes	maximal, characteristic, complemented
17	#22784	C₂	1	1	yes	maximal, characteristic, complemented
18	#22783	C₂	1	1	yes	maximal, characteristic, complemented
19	#22782	C₂	1	1	yes	maximal, characteristic, complemented
20	#22062	C₂	1	1	yes	maximal, characteristic, complemented
21	#22062	C₂	1	1	yes	maximal, characteristic, complemented
22	#22061	C₂	1	1	yes	maximal, characteristic, complemented
23	#22060	C₂	1	1	yes	maximal, characteristic, complemented
24	#21995	C₂	1	1	yes	maximal, characteristic, complemented
25	#21858	C₂	1	1	yes	maximal, characteristic, complemented
26	#21594	C₂	1	1	yes	maximal, characteristic, complemented
27	#21594	C₂	1	1	yes	maximal, characteristic, complemented
28	#21593	C₂	1	1	yes	maximal, characteristic, complemented
29	#21592	C₂	1	1	yes	maximal, characteristic, complemented
30	#20749	C₂	1	1	yes	maximal, characteristic, complemented
31	#20553	C₂	1	1	yes	maximal, characteristic, complemented
32	#3455	C₂²	1	1	yes	characteristic
33	#3428	C₂²	1	1	yes	characteristic
34	#3127	C₄	1	1	yes	characteristic, complemented
35	#3126	C₄	1	1	yes	characteristic, complemented
36	#3125	C₄	1	1	yes	characteristic, complemented
37	#3125	C₄	1	1	yes	characteristic, complemented
38	#3124	C₄	1	1	yes	characteristic, complemented
39	#3124	C₄	1	1	yes	characteristic, complemented
40	#3123	C₄	1	1	yes	characteristic, complemented
41	#3122	C₄	1	1	yes	characteristic, complemented
42	#3121	C₄	1	1	yes	characteristic, complemented
43	#3121	C₄	1	1	yes	characteristic, complemented
44	#3120	C₄	1	1	yes	characteristic, complemented
45	#3120	C₄	1	1	yes	characteristic, complemented
46	#3119	C₄	1	1	yes	characteristic, complemented
47	#3119	C₄	1	1	yes	characteristic, complemented
48	#3118	C₄	1	1	yes	characteristic, complemented
49	#3118	C₄	1	1	yes	characteristic, complemented
50	#3091	C₂²	1	1	yes	characteristic
51	#3091	C₂²	1	1	yes	characteristic
52	#3076	C₂²	1	1	yes	characteristic
53	#3076	C₂²	1	1	yes	characteristic
54	#3035	C₂²	1	1	yes	characteristic
55	#3035	C₂²	1	1	yes	characteristic
56	#3002	C₂²	1	1	yes	characteristic
57	#3002	C₂²	1	1	yes	characteristic
58	#2995	—	2	1	no	—
59	#2995	—	2	1	no	—
60	#2994	—	2	1	no	—
61	#2994	—	2	1	no	—
62	#2993	—	2	1	no	—
63	#2993	—	2	1	no	—
64	#2992	—	2	1	no	—
65	#2992	—	2	1	no	—
66	#2962	C₂²	1	1	yes	characteristic, complemented
67	#2962	C₂²	1	1	yes	characteristic, complemented
68	#2943	C₂²	1	1	yes	characteristic
69	#2943	C₂²	1	1	yes	characteristic
70	C₄×#135	C₂²	1	1	yes	characteristic
71	C₄×#135	C₂²	1	1	yes	characteristic
72	#2935	C₂²	1	1	yes	characteristic, complemented
73	#2935	C₂²	1	1	yes	characteristic, complemented
74	#2930	C₂²	1	1	yes	characteristic
75	#2930	C₂²	1	1	yes	characteristic
76	#2929	C₂²	1	1	yes	characteristic
77	#2929	C₂²	1	1	yes	characteristic
78	#2925	C₂²	1	1	yes	characteristic
79	#2925	C₂²	1	1	yes	characteristic
80	#2925	C₂²	1	1	yes	characteristic
81	#2925	C₂²	1	1	yes	characteristic
82	#2925	C₂²	1	1	yes	characteristic
83	#2925	C₂²	1	1	yes	characteristic
84	#2925	C₂²	1	1	yes	characteristic
85	#2925	C₂²	1	1	yes	characteristic
86	#2925	C₂²	1	1	yes	characteristic, complemented
87	#2925	C₂²	1	1	yes	characteristic, complemented
88	#2924	—	2	1	no	—
89	#2924	—	2	1	no	—
90	#2924	—	2	1	no	—
91	#2924	—	2	1	no	—
92	#2923	—	2	1	no	—
93	#2923	—	2	1	no	—
94	#2922	—	2	1	no	—
95	#2922	—	2	1	no	—
96	#2921	C₂²	1	1	yes	characteristic
97	C₂×#433	C₂²	1	1	yes	characteristic
98	#2906	C₂²	1	1	yes	characteristic, complemented
99	#2906	C₂²	1	1	yes	characteristic, complemented
100	#2905	C₂²	1	1	yes	characteristic
101	C₂×#424	C₂²	1	1	yes	characteristic
102	#2879	C₂²	1	1	yes	characteristic
103	C₂×#408	C₂²	1	1	yes	characteristic
104	#2873	C₂²	1	1	yes	characteristic
105	C₂×#405	C₂²	1	1	yes	characteristic
106	#2298	C₂²	1	1	yes	characteristic
107	#1995	C₂²	1	1	yes	characteristic, complemented
108	#1994	C₂²	1	1	yes	characteristic, complemented
109	#1975	C₂²	1	1	yes	characteristic
110	#1975	C₂²	1	1	yes	characteristic
111	#1975	C₂²	1	1	yes	characteristic
112	#1975	C₂²	1	1	yes	characteristic
113	#1974	C₂²	1	1	yes	characteristic
114	#1974	C₂²	1	1	yes	characteristic
115	#1974	C₂²	1	1	yes	characteristic
116	#1974	C₂²	1	1	yes	characteristic
117	#1963	C₂²	1	1	yes	characteristic, complemented
118	#1962	C₂²	1	1	yes	characteristic, complemented
119	#1950	C₂²	1	1	yes	characteristic, complemented
120	#1950	C₂²	1	1	yes	characteristic, complemented
121	#1950	C₂²	1	1	yes	characteristic, complemented
122	#1950	C₂²	1	1	yes	characteristic, complemented
123	#1938	C₂²	1	1	yes	characteristic
124	#1938	C₂²	1	1	yes	characteristic
125	#1938	C₂²	1	1	yes	characteristic
126	#1938	C₂²	1	1	yes	characteristic
127	#1937	C₂²	1	1	yes	characteristic
128	#1937	C₂²	1	1	yes	characteristic
129	#1937	C₂²	1	1	yes	characteristic
130	#1937	C₂²	1	1	yes	characteristic
131	#1929	C₂²	1	1	yes	characteristic
132	#1929	C₂²	1	1	yes	characteristic
133	#1929	C₂²	1	1	yes	characteristic
134	#1929	C₂²	1	1	yes	characteristic
135	#1929	C₂²	1	1	yes	characteristic
136	#1929	C₂²	1	1	yes	characteristic
137	#1929	C₂²	1	1	yes	characteristic
138	#1929	C₂²	1	1	yes	characteristic
139	#1929	C₂²	1	1	yes	characteristic, complemented
140	#1929	C₂²	1	1	yes	characteristic, complemented
141	#1929	C₂²	1	1	yes	characteristic, complemented
142	#1929	C₂²	1	1	yes	characteristic, complemented
143	#1929	C₂²	1	1	yes	characteristic, complemented
144	#1929	C₂²	1	1	yes	characteristic, complemented
145	#1929	C₂²	1	1	yes	characteristic, complemented
146	#1929	C₂²	1	1	yes	characteristic, complemented
147	#1922	C₂²	1	1	yes	characteristic, complemented
148	#1922	C₂²	1	1	yes	characteristic, complemented
149	#1922	C₂²	1	1	yes	characteristic, complemented
150	#1922	C₂²	1	1	yes	characteristic, complemented
151	#1922	C₂²	1	1	yes	characteristic, complemented
152	#1922	C₂²	1	1	yes	characteristic, complemented
153	#1922	C₂²	1	1	yes	characteristic, complemented
154	#1922	C₂²	1	1	yes	characteristic, complemented
155	#1876	C₂²	1	1	yes	characteristic
156	#1876	C₂²	1	1	yes	characteristic
157	#1876	C₂²	1	1	yes	characteristic
158	#1876	C₂²	1	1	yes	characteristic
159	#1876	C₂²	1	1	yes	characteristic
160	#1876	C₂²	1	1	yes	characteristic
161	#1876	C₂²	1	1	yes	characteristic
162	#1876	C₂²	1	1	yes	characteristic
163	#1871	C₂²	1	1	yes	characteristic
164	#1871	C₂²	1	1	yes	characteristic
165	#1871	C₂²	1	1	yes	characteristic
166	#1871	C₂²	1	1	yes	characteristic
167	#1855	C₂²	1	1	yes	characteristic
168	#1855	C₂²	1	1	yes	characteristic
169	#1855	C₂²	1	1	yes	characteristic
170	#1855	C₂²	1	1	yes	characteristic
171	#1849	C₂²	1	1	yes	characteristic, complemented
172	#1848	C₂²	1	1	yes	characteristic, complemented
173	#1838	C₂²	1	1	yes	characteristic, complemented
174	#1837	C₂²	1	1	yes	characteristic, complemented
175	#1826	C₂²	1	1	yes	characteristic
176	#1826	C₂²	1	1	yes	characteristic
177	#1806	C₂²	1	1	yes	characteristic
178	#1806	C₂²	1	1	yes	characteristic
179	#1806	C₂²	1	1	yes	characteristic
180	#1806	C₂²	1	1	yes	characteristic
181	#1806	C₂²	1	1	yes	characteristic, complemented
182	#1806	C₂²	1	1	yes	characteristic, complemented
183	#1806	C₂²	1	1	yes	characteristic, complemented
184	#1806	C₂²	1	1	yes	characteristic, complemented
185	#1789	C₂²	1	1	yes	characteristic
186	#1789	C₂²	1	1	yes	characteristic
187	#1773	C₂²	1	1	yes	characteristic, complemented
188	#1773	C₂²	1	1	yes	characteristic, complemented
189	#1773	C₂²	1	1	yes	characteristic, complemented
190	#1773	C₂²	1	1	yes	characteristic, complemented
191	#1772	C₂²	1	1	yes	characteristic, complemented
192	#1772	C₂²	1	1	yes	characteristic, complemented
193	#1772	C₂²	1	1	yes	characteristic, complemented
194	#1772	C₂²	1	1	yes	characteristic, complemented
195	#1771	C₂²	1	1	yes	characteristic, complemented
196	#1771	C₂²	1	1	yes	characteristic, complemented
197	#1770	C₂²	1	1	yes	characteristic, complemented
198	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
199	#1768	C₂²	1	1	yes	characteristic, complemented
200	#1768	C₂²	1	1	yes	characteristic, complemented
201	#1767	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	#1765	C₂²	1	1	yes	characteristic, complemented
204	#1765	C₂²	1	1	yes	characteristic, complemented
205	#1765	C₂²	1	1	yes	characteristic, complemented
206	#1765	C₂²	1	1	yes	characteristic, complemented
207	#1764	C₂²	1	1	yes	characteristic, complemented
208	#1764	C₂²	1	1	yes	characteristic, complemented
209	#1764	C₂²	1	1	yes	characteristic, complemented
210	#1764	C₂²	1	1	yes	characteristic, complemented
211	#1759	C₂²	1	1	yes	characteristic
212	#1759	C₂²	1	1	yes	characteristic
213	C₄×#104	C₂²	1	1	yes	characteristic
214	C₄×#104	C₂²	1	1	yes	characteristic
215	#1753	C₂²	1	1	yes	characteristic
216	#1753	C₂²	1	1	yes	characteristic
217	#1752	C₂²	1	1	yes	characteristic
218	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
219	C₂²×#41	C₂³	1	1	yes	characteristic
220	C₂×#135	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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
229	C₂²×M₁₆	C₂³	1	1	yes	characteristic
230	C₂²×M₁₆	C₂³	1	1	yes	characteristic
231	C₂³×C₈	C₂³	1	1	yes	characteristic
232	#542	C₂×C₄	1	1	yes	characteristic
233	#542	C₂×C₄	1	1	yes	characteristic
234	#542	C₂×C₄	1	1	yes	characteristic
235	#542	C₂×C₄	1	1	yes	characteristic
236	#541	C₂×C₄	1	1	yes	characteristic
237	#541	C₂×C₄	1	1	yes	characteristic
238	#540	C₂×C₄	1	1	yes	characteristic
239	#540	C₂×C₄	1	1	yes	characteristic
240	#539	—	2	1	no	—
241	#539	—	2	1	no	—
242	#538	—	2	1	no	—
243	#538	—	2	1	no	—
244	#533	C₂³	1	1	yes	characteristic
245	#532	C₂³	1	1	yes	characteristic
246	#529	—	2	1	no	—
247	#529	—	2	1	no	—
248	#529	—	2	1	no	—
249	#529	—	2	1	no	—
250	#525	C₂³	1	1	yes	characteristic
251	#525	C₂³	1	1	yes	characteristic
252	#520	—	2	1	no	—
253	#520	—	2	1	no	—
254	#520	C₂×C₄	1	1	yes	characteristic
255	#520	C₂×C₄	1	1	yes	characteristic
256	#520	C₂×C₄	1	1	yes	characteristic
257	#520	C₂×C₄	1	1	yes	characteristic
258	#519	C₂×C₄	1	1	yes	characteristic
259	#519	C₂×C₄	1	1	yes	characteristic
260	#518	—	2	1	no	—
261	#518	—	2	1	no	—
262	#518	C₂×C₄	1	1	yes	characteristic
263	#518	C₂×C₄	1	1	yes	characteristic
264	C₄×#41	—	2	1	no	—
265	C₄×#41	—	2	1	no	—
266	C₄×#41	C₂³	1	1	yes	characteristic
267	C₄×#41	C₂³	1	1	yes	characteristic
268	C₄×#41	C₂³	1	1	yes	characteristic
269	C₄×#41	C₂³	1	1	yes	characteristic
270	C₄×#41	C₂³	1	1	yes	characteristic
271	C₄×#41	C₂³	1	1	yes	characteristic
272	C₂×#117	—	2	1	no	—
273	C₂×#117	—	2	1	no	—
274	C₂×#117	C₂³	1	1	yes	characteristic
275	C₂×#117	C₂³	1	1	yes	characteristic
276	#485	C₂×C₄	1	1	yes	characteristic
277	#485	C₂×C₄	1	1	yes	characteristic
278	#485	C₂×C₄	1	1	yes	characteristic
279	#485	C₂×C₄	1	1	yes	characteristic
280	#484	C₂×C₄	1	1	yes	characteristic
281	#484	C₂×C₄	1	1	yes	characteristic
282	#483	C₂×C₄	1	1	yes	characteristic
283	#483	C₂×C₄	1	1	yes	characteristic
284	#482	C₂×C₄	1	1	yes	characteristic
285	#482	C₂×C₄	1	1	yes	characteristic
286	#482	C₂×C₄	1	1	yes	characteristic
287	#482	C₂×C₄	1	1	yes	characteristic
288	#481	C₂×C₄	1	1	yes	characteristic
289	#481	C₂×C₄	1	1	yes	characteristic
290	#480	C₂×C₄	1	1	yes	characteristic
291	#480	C₂×C₄	1	1	yes	characteristic
292	#479	C₂×C₄	1	1	yes	characteristic
293	#479	C₂×C₄	1	1	yes	characteristic
294	#479	C₂×C₄	1	1	yes	characteristic
295	#479	C₂×C₄	1	1	yes	characteristic
296	#478	C₂×C₄	1	1	yes	characteristic
297	#478	C₂×C₄	1	1	yes	characteristic
298	#478	C₂×C₄	1	1	yes	characteristic
299	#478	C₂×C₄	1	1	yes	characteristic
300	#477	C₂×C₄	1	1	yes	characteristic
301	#477	C₂×C₄	1	1	yes	characteristic
302	#476	C₂×C₄	1	1	yes	characteristic
303	#476	C₂×C₄	1	1	yes	characteristic
304	#475	C₂×C₄	1	1	yes	characteristic
305	#475	C₂×C₄	1	1	yes	characteristic
306	#474	C₂×C₄	1	1	yes	characteristic
307	#474	C₂×C₄	1	1	yes	characteristic
308	#464	C₂×C₄	1	1	yes	characteristic
309	#464	C₂×C₄	1	1	yes	characteristic
310	#464	C₂×C₄	1	1	yes	characteristic
311	#464	C₂×C₄	1	1	yes	characteristic
312	#463	C₂×C₄	1	1	yes	characteristic
313	#463	C₂×C₄	1	1	yes	characteristic
314	#463	C₂×C₄	1	1	yes	characteristic
315	#463	C₂×C₄	1	1	yes	characteristic
316	#462	C₂×C₄	1	1	yes	characteristic
317	#462	C₂×C₄	1	1	yes	characteristic
318	#461	C₂×C₄	1	1	yes	characteristic
319	#461	C₂×C₄	1	1	yes	characteristic
320	#460	C₂×C₄	1	1	yes	characteristic
321	#460	C₂×C₄	1	1	yes	characteristic
322	#459	C₂×C₄	1	1	yes	characteristic
323	#459	C₂×C₄	1	1	yes	characteristic
324	#452	C₂×C₄	1	1	yes	characteristic
325	#452	C₂×C₄	1	1	yes	characteristic
326	#452	C₂×C₄	1	1	yes	characteristic
327	#452	C₂×C₄	1	1	yes	characteristic
328	#451	C₂×C₄	1	1	yes	characteristic
329	#451	C₂×C₄	1	1	yes	characteristic
330	#450	C₂×C₄	1	1	yes	characteristic
331	#450	C₂×C₄	1	1	yes	characteristic
332	#449	C₂×C₄	1	1	yes	characteristic
333	#449	C₂×C₄	1	1	yes	characteristic
334	#449	C₂×C₄	1	1	yes	characteristic
335	#449	C₂×C₄	1	1	yes	characteristic
336	#448	C₂×C₄	1	1	yes	characteristic
337	#448	C₂×C₄	1	1	yes	characteristic
338	#447	C₂×C₄	1	1	yes	characteristic
339	#447	C₂×C₄	1	1	yes	characteristic
340	#446	—	2	1	no	—
341	#446	—	2	1	no	—
342	#446	—	2	1	no	—
343	#446	—	2	1	no	—
344	#446	—	2	1	no	—
345	#446	—	2	1	no	—
346	C₈×Q₈	—	2	1	no	—
347	C₈×Q₈	—	2	1	no	—
348	#442	C₂×C₄	1	1	yes	characteristic
349	#442	C₂×C₄	1	1	yes	characteristic
350	#442	C₂×C₄	1	1	yes	characteristic
351	#442	C₂×C₄	1	1	yes	characteristic
352	#441	C₂×C₄	1	1	yes	characteristic
353	#441	C₂×C₄	1	1	yes	characteristic
354	#441	C₂×C₄	1	1	yes	characteristic
355	#441	C₂×C₄	1	1	yes	characteristic
356	#440	C₂×C₄	1	1	yes	characteristic
357	#440	C₂×C₄	1	1	yes	characteristic
358	#440	C₂×C₄	1	1	yes	characteristic
359	#440	C₂×C₄	1	1	yes	characteristic
360	#440	C₂×C₄	1	1	yes	characteristic
361	#440	C₂×C₄	1	1	yes	characteristic
362	#440	C₂×C₄	1	1	yes	characteristic
363	#440	C₂×C₄	1	1	yes	characteristic
364	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
365	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
366	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
367	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
368	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
369	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
370	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
371	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
372	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
373	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
374	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
375	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
376	C₄×D₈	C₂×C₄	1	1	yes	characteristic
377	C₄×D₈	C₂×C₄	1	1	yes	characteristic
378	C₄×D₈	C₂×C₄	1	1	yes	characteristic
379	C₄×D₈	C₂×C₄	1	1	yes	characteristic
380	#436	—	2	1	no	—
381	#436	—	2	1	no	—
382	#436	—	2	1	no	—
383	#436	—	2	1	no	—
384	#436	—	2	1	no	—
385	#436	—	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	C₈×D₄	—	2	1	no	—
399	C₈×D₄	—	2	1	no	—
400	C₈×D₄	—	2	1	no	—
401	C₈×D₄	—	2	1	no	—
402	C₈×D₄	—	2	1	no	—
403	C₈×D₄	—	2	1	no	—
404	#433	—	2	1	no	—
405	#433	—	2	1	no	—
406	#433	—	2	1	no	—
407	#433	—	2	1	no	—
408	#433	—	2	1	no	—
409	#433	—	2	1	no	—
410	#433	—	2	1	no	—
411	#433	—	2	1	no	—
412	#433	—	2	1	no	—
413	#433	—	2	1	no	—
414	#433	—	2	1	no	—
415	#433	—	2	1	no	—
416	#433	—	2	1	no	—
417	#433	—	2	1	no	—
418	#433	—	2	1	no	—
419	#433	—	2	1	no	—
420	#433	—	2	1	no	—
421	#433	—	2	1	no	—
422	#433	—	2	1	no	—
423	#433	—	2	1	no	—
424	#433	—	2	1	no	—
425	#433	—	2	1	no	—
426	#433	—	2	1	no	—
427	#433	—	2	1	no	—
428	#433	C₂×C₄	1	1	yes	characteristic
429	#433	C₂×C₄	1	1	yes	characteristic
430	#433	C₂×C₄	1	1	yes	characteristic
431	#433	C₂×C₄	1	1	yes	characteristic
432	#433	C₂×C₄	1	1	yes	characteristic
433	#433	C₂×C₄	1	1	yes	characteristic
434	#433	C₂×C₄	1	1	yes	characteristic
435	#433	C₂×C₄	1	1	yes	characteristic
436	#432	—	2	1	no	—
437	#432	—	2	1	no	—
438	#432	—	2	1	no	—
439	#432	—	2	1	no	—
440	#432	—	2	1	no	—
441	#432	—	2	1	no	—
442	#432	—	2	1	no	—
443	#432	—	2	1	no	—
444	#432	—	2	1	no	—
445	#432	—	2	1	no	—
446	#431	—	2	1	no	—
447	#431	—	2	1	no	—
448	#431	—	2	1	no	—
449	#431	—	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	C₂×#108	C₂³	1	1	yes	characteristic
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	C₂×#108	C₂³	1	1	yes	characteristic
464	#427	C₂³	1	1	yes	characteristic
465	#427	C₂³	1	1	yes	characteristic
466	#427	C₂³	1	1	yes	characteristic
467	#427	C₂³	1	1	yes	characteristic
468	#424	—	2	1	no	—
469	#424	—	2	1	no	—
470	#424	—	2	1	no	—
471	#424	—	2	1	no	—
472	#424	—	2	1	no	—
473	#424	—	2	1	no	—
474	#424	—	2	1	no	—
475	#424	—	2	1	no	—
476	#424	D₄	1	1	yes	characteristic
477	#424	D₄	1	1	yes	characteristic
478	#424	D₄	1	1	yes	characteristic
479	#424	D₄	1	1	yes	characteristic
480	#424	D₄	1	1	yes	characteristic
481	#424	D₄	1	1	yes	characteristic
482	#424	D₄	1	1	yes	characteristic
483	#424	D₄	1	1	yes	characteristic
484	#424	C₂³	1	1	yes	characteristic
485	#424	C₂³	1	1	yes	characteristic
486	#424	C₂³	1	1	yes	characteristic
487	#424	C₂³	1	1	yes	characteristic
488	#423	—	2	1	no	—
489	#423	—	2	1	no	—
490	#423	C₂³	1	1	yes	characteristic
491	#423	C₂³	1	1	yes	characteristic
492	#423	C₂³	1	1	yes	characteristic
493	#423	C₂³	1	1	yes	characteristic
494	#423	C₂³	1	1	yes	characteristic
495	#423	C₂³	1	1	yes	characteristic
496	C₂×C₄⋊C₈	—	2	1	no	—
497	C₂×C₄⋊C₈	—	2	1	no	—
498	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
499	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
500	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
501	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
502	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
503	C₂×C₄⋊C₈	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	C₂×#104	C₂³	1	1	yes	characteristic
511	C₂×#104	C₂³	1	1	yes	characteristic
512	C₂×#104	C₂³	1	1	yes	characteristic
513	C₂×#104	C₂³	1	1	yes	characteristic
514	C₂×#104	C₂³	1	1	yes	characteristic
515	C₂×#104	C₂³	1	1	yes	characteristic
516	C₂×#104	C₂³	1	1	yes	characteristic
517	C₂×#104	C₂³	1	1	yes	characteristic
518	C₂×#104	C₂³	1	1	yes	characteristic
519	C₂×#104	C₂³	1	1	yes	characteristic
520	#416	C₂³	1	1	yes	characteristic
521	#416	C₂³	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	#408	—	2	1	no	—
529	#408	—	2	1	no	—
530	#408	—	2	1	no	—
531	#408	—	2	1	no	—
532	#408	C₂³	1	1	yes	characteristic
533	#408	C₂³	1	1	yes	characteristic
534	#408	C₂³	1	1	yes	characteristic
535	#408	C₂³	1	1	yes	characteristic
536	#408	C₂³	1	1	yes	characteristic
537	#408	C₂³	1	1	yes	characteristic
538	#408	C₂³	1	1	yes	characteristic
539	#408	C₂³	1	1	yes	characteristic
540	#408	C₂³	1	1	yes	characteristic
541	#408	C₂³	1	1	yes	characteristic
542	#408	C₂³	1	1	yes	characteristic
543	#408	C₂³	1	1	yes	characteristic
544	#407	—	2	1	no	—
545	#407	—	2	1	no	—
546	#407	C₂³	1	1	yes	characteristic
547	#407	C₂³	1	1	yes	characteristic
548	C₂×C₂²⋊C₈	—	2	1	no	—
549	C₂×C₂²⋊C₈	—	2	1	no	—
550	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
551	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
552	#405	—	2	1	no	—
553	#405	—	2	1	no	—
554	#405	—	2	1	no	—
555	#405	—	2	1	no	—
556	#405	C₂³	1	1	yes	characteristic
557	#405	C₂³	1	1	yes	characteristic
558	#405	C₂³	1	1	yes	characteristic
559	#405	C₂³	1	1	yes	characteristic
560	#405	C₂³	1	1	yes	characteristic
561	#405	C₂³	1	1	yes	characteristic
562	#405	C₂³	1	1	yes	characteristic
563	#405	C₂³	1	1	yes	characteristic
564	#405	C₂³	1	1	yes	characteristic
565	#405	C₂³	1	1	yes	characteristic
566	#405	C₂³	1	1	yes	characteristic
567	#405	C₂³	1	1	yes	characteristic
568	C₄×M₁₆	—	2	1	no	—
569	C₄×M₁₆	—	2	1	no	—
570	C₄×M₁₆	C₂³	1	1	yes	characteristic
571	C₄×M₁₆	C₂³	1	1	yes	characteristic
572	C₂×#97	—	2	1	no	—
573	C₂×#97	C₂³	1	1	yes	characteristic
574	C₂×#97	C₂³	1	1	yes	characteristic
575	C₂×#97	C₂³	1	1	yes	characteristic
576	C₂×#97	C₂³	1	1	yes	characteristic
577	C₂×#97	C₂³	1	1	yes	characteristic
578	C₂×C₄×C₈	—	2	1	no	—
579	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
580	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
581	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
582	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
583	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
584	#388	—	2	1	no	—
585	#388	—	2	1	no	—
586	#387	—	2	1	no	—
587	#387	—	2	1	no	—
588	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
589	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
590	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
591	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
592	#376	C₂³	1	1	yes	characteristic
593	C₄³	C₂³	1	1	yes	characteristic
594	#341	C₂³	1	1	yes	characteristic
595	#341	C₂³	1	1	yes	characteristic
596	#341	C₂³	1	1	yes	characteristic
597	#341	C₂³	1	1	yes	characteristic
598	#341	C₂³	1	1	yes	characteristic
599	#341	C₂³	1	1	yes	characteristic
600	#341	C₂³	1	1	yes	characteristic
601	#341	C₂³	1	1	yes	characteristic
602	#339	C₂³	1	1	yes	characteristic
603	#339	C₂³	1	1	yes	characteristic
604	#339	C₂³	1	1	yes	characteristic
605	#339	C₂³	1	1	yes	characteristic
606	#339	C₂³	1	1	yes	characteristic
607	#339	C₂³	1	1	yes	characteristic
608	#339	C₂³	1	1	yes	characteristic
609	#339	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	#336	C₂³	1	1	yes	characteristic
619	#336	C₂³	1	1	yes	characteristic
620	#336	C₂³	1	1	yes	characteristic
621	#336	C₂³	1	1	yes	characteristic
622	#336	C₂³	1	1	yes	characteristic
623	#336	C₂³	1	1	yes	characteristic
624	#336	C₂³	1	1	yes	characteristic
625	#336	C₂³	1	1	yes	characteristic
626	C₂×#41	—	2	1	no	—
627	C₂×#41	—	2	1	no	—
628	C₂×#41	—	4	1	no	—
629	C₂×#41	—	4	1	no	—
630	C₂×#41	—	4	1	no	—
631	C₂×#41	—	4	1	no	—
632	C₂×#41	C₂²×C₄	1	1	yes	characteristic
633	C₂×#41	C₂²×C₄	1	1	yes	characteristic
634	C₂×#41	C₂⁴	1	1	yes	characteristic
635	C₂×#41	C₂⁴	1	1	yes	characteristic
636	C₂×#41	C₂⁴	1	1	yes	characteristic
637	C₂×#41	C₂⁴	1	1	yes	characteristic
638	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
639	C₂²×D₄	—	2	1	no	—
640	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
641	C₂³×C₄	—	2	1	no	—
642	C₂³×C₄	C₂⁴	1	1	yes	characteristic
643	#135	—	4	1	no	—
644	#135	—	4	1	no	—
645	#135	—	4	1	no	—
646	#135	—	4	1	no	—
647	#135	—	4	1	no	—
648	#135	—	4	1	no	—
649	#135	—	4	1	no	—
650	#135	—	4	1	no	—
651	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
652	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
653	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
654	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
655	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
656	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
657	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
658	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
659	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
660	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
661	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
662	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
663	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
664	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
665	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
666	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
667	#131	—	4	1	no	—
668	#131	—	4	1	no	—
669	#131	—	4	1	no	—
670	#131	—	4	1	no	—
671	#131	—	4	1	no	—
672	#131	—	4	1	no	—
673	#131	—	4	1	no	—
674	#131	—	4	1	no	—
675	C₂×M₁₆	—	2	1	no	—
676	C₂×M₁₆	—	2	1	no	—
677	C₂×M₁₆	—	2	1	no	—
678	C₂×M₁₆	—	2	1	no	—
679	C₂×M₁₆	—	2	1	no	—
680	C₂×M₁₆	—	2	1	no	—
681	C₂×M₁₆	—	4	1	no	—
682	C₂×M₁₆	—	4	1	no	—
683	C₂×M₁₆	—	4	1	no	—
684	C₂×M₁₆	—	4	1	no	—
685	C₂×M₁₆	—	4	1	no	—
686	C₂×M₁₆	—	4	1	no	—
687	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
688	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
689	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
690	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
691	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
692	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
693	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
694	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
695	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
696	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
697	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
698	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
699	C₂²×C₈	—	2	1	no	—
700	C₂²×C₈	—	2	1	no	—
701	C₂²×C₈	—	2	1	no	—
702	C₂²×C₈	—	2	1	no	—
703	C₂²×C₈	—	2	1	no	—
704	C₂²×C₈	—	2	1	no	—
705	C₂²×C₈	—	4	1	no	—
706	C₂²×C₈	—	4	1	no	—
707	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
708	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
709	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
710	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
711	C₂²×C₈	C₂⁴	1	1	yes	characteristic
712	C₂²×C₈	C₂⁴	1	1	yes	characteristic
713	C₂²×C₈	C₂⁴	1	1	yes	characteristic
714	C₂²×C₈	C₂⁴	1	1	yes	characteristic
715	C₂²×C₈	C₂⁴	1	1	yes	characteristic
716	C₂²×C₈	C₂⁴	1	1	yes	characteristic
717	C₂²×C₈	C₂⁴	1	1	yes	characteristic
718	C₂²×C₈	C₂⁴	1	1	yes	characteristic
719	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
721	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
722	#127	C₂²×C₄	1	1	yes	characteristic
723	#126	—	2	1	no	—
724	#126	—	2	1	no	—
725	#126	—	2	1	no	—
726	#126	—	2	1	no	—
727	#126	—	2	1	no	—
728	#126	—	2	1	no	—
729	#126	—	2	1	no	—
730	#126	—	2	1	no	—
731	#125	—	2	1	no	—
732	#125	—	2	1	no	—
733	#125	—	2	1	no	—
734	#125	—	2	1	no	—
735	#125	C₂²×C₄	1	1	yes	characteristic
736	#125	C₂²×C₄	1	1	yes	characteristic
737	#124	—	2	1	no	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	2	1	no	—
741	#124	C₂²×C₄	1	1	yes	characteristic
742	#124	C₂²×C₄	1	1	yes	characteristic
743	#123	—	2	1	no	—
744	#123	—	2	1	no	—
745	#123	—	2	1	no	—
746	#123	—	2	1	no	—
747	#123	—	2	1	no	—
748	#123	—	2	1	no	—
749	#123	—	2	1	no	—
750	#123	—	2	1	no	—
751	#123	—	2	1	no	—
752	#123	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
760	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
761	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	1	no	—
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	C₂²×C₄	1	1	yes	characteristic
770	#121	C₂²×C₄	1	1	yes	characteristic
771	#121	C₂²×C₄	1	1	yes	characteristic
772	#121	C₂²×C₄	1	1	yes	characteristic
773	#120	—	2	1	no	—
774	#120	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
782	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
783	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
784	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
785	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
786	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
787	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
788	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
789	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
790	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
791	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
792	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
824	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
825	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
826	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
827	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
828	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
829	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
830	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
831	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
832	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
833	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
834	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
835	#117	—	2	1	no	—
836	#117	—	2	1	no	—
837	#117	—	2	1	no	—
838	#117	—	2	1	no	—
839	#117	—	2	1	no	—
840	#117	—	2	1	no	—
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	1	no	—
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	1	no	—
850	#117	—	2	1	no	—
851	#117	C₂²×C₄	1	1	yes	characteristic
852	#117	C₂²×C₄	1	1	yes	characteristic
853	#117	C₂²×C₄	1	1	yes	characteristic
854	#117	C₂²×C₄	1	1	yes	characteristic
855	#117	C₂²×C₄	1	1	yes	characteristic
856	#117	C₂²×C₄	1	1	yes	characteristic
857	#117	C₂×D₄	1	1	yes	characteristic
858	#117	C₂×D₄	1	1	yes	characteristic
859	#117	C₂×D₄	1	1	yes	characteristic
860	#117	C₂×D₄	1	1	yes	characteristic
861	#117	C₂⁴	1	1	yes	characteristic
862	#117	C₂⁴	1	1	yes	characteristic
863	#117	C₂⁴	1	1	yes	characteristic
864	#117	C₂⁴	1	1	yes	characteristic
865	C₂×C₄⋊C₄	—	2	1	no	—
866	C₂×C₄⋊C₄	—	2	1	no	—
867	C₂×C₄⋊C₄	—	2	1	no	—
868	C₂×C₄⋊C₄	—	2	1	no	—
869	C₂×C₄⋊C₄	—	2	1	no	—
870	C₂×C₄⋊C₄	—	2	1	no	—
871	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
873	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
874	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	—	2	1	no	—
876	C₂×C₂²⋊C₄	—	2	1	no	—
877	C₂×C₂²⋊C₄	—	2	1	no	—
878	C₂×C₂²⋊C₄	—	2	1	no	—
879	C₂×C₂²⋊C₄	—	2	1	no	—
880	C₂×C₂²⋊C₄	—	2	1	no	—
881	C₂×C₂²⋊C₄	—	2	1	no	—
882	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
884	C₂×C₄²	—	2	1	no	—
885	C₂×C₄²	—	2	1	no	—
886	C₂×C₄²	—	2	1	no	—
887	C₂×C₄²	—	2	1	no	—
888	C₂×C₄²	—	2	1	no	—
889	C₂×C₄²	—	2	1	no	—
890	C₂×C₄²	—	2	1	no	—
891	C₂×C₄²	—	2	1	no	—
892	C₂×C₄²	—	2	1	no	—
893	C₂×C₄²	C₂⁴	1	1	yes	characteristic
894	C₂×C₄²	C₂⁴	1	1	yes	characteristic
895	C₂×C₄²	C₂⁴	1	1	yes	characteristic
896	C₂×C₄²	C₂⁴	1	1	yes	characteristic
897	C₂×C₄²	C₂⁴	1	1	yes	characteristic
898	C₂×C₄²	C₂⁴	1	1	yes	characteristic
899	#108	—	4	1	no	—
900	#108	—	4	1	no	—
901	#108	—	4	1	no	—
902	#108	—	4	1	no	—
903	#108	—	4	1	no	—
904	#108	—	4	1	no	—
905	#108	—	4	1	no	—
906	#108	—	4	1	no	—
907	#107	C₂²×C₄	1	1	yes	characteristic
908	#107	C₂²×C₄	1	1	yes	characteristic
909	#107	C₂²×C₄	1	1	yes	characteristic
910	#107	C₂²×C₄	1	1	yes	characteristic
911	#107	C₂²×C₄	1	1	yes	characteristic
912	#107	C₂²×C₄	1	1	yes	characteristic
913	#107	C₂²×C₄	1	1	yes	characteristic
914	#107	C₂²×C₄	1	1	yes	characteristic
915	#106	C₂²×C₄	1	1	yes	characteristic
916	#106	C₂²×C₄	1	1	yes	characteristic
917	#106	C₂²×C₄	1	1	yes	characteristic
918	#106	C₂²×C₄	1	1	yes	characteristic
919	#106	C₂²×C₄	1	1	yes	characteristic
920	#106	C₂²×C₄	1	1	yes	characteristic
921	#106	C₂²×C₄	1	1	yes	characteristic
922	#106	C₂²×C₄	1	1	yes	characteristic
923	C₄⋊C₈	—	2	1	no	—
924	C₄⋊C₈	—	2	1	no	—
925	C₄⋊C₈	—	2	1	no	—
926	C₄⋊C₈	—	2	1	no	—
927	C₄⋊C₈	—	2	1	no	—
928	C₄⋊C₈	—	2	1	no	—
929	C₄⋊C₈	—	2	1	no	—
930	C₄⋊C₈	—	2	1	no	—
931	C₄⋊C₈	—	2	1	no	—
932	C₄⋊C₈	—	2	1	no	—
933	C₄⋊C₈	—	2	1	no	—
934	C₄⋊C₈	—	2	1	no	—
935	C₄⋊C₈	—	2	1	no	—
936	C₄⋊C₈	—	2	1	no	—
937	C₄⋊C₈	—	2	1	no	—
938	C₄⋊C₈	—	2	1	no	—
939	C₄⋊C₈	—	2	1	no	—
940	C₄⋊C₈	—	2	1	no	—
941	C₄⋊C₈	—	2	1	no	—
942	C₄⋊C₈	—	2	1	no	—
943	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
944	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
945	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
946	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
947	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
948	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
949	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
950	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
951	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
952	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
953	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
954	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
955	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
956	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
957	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
958	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
959	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
960	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
961	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
962	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
963	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
964	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
965	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
966	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
967	#104	—	4	1	no	—
968	#104	—	4	1	no	—
969	#104	—	4	1	no	—
970	#104	—	4	1	no	—
971	#104	—	4	1	no	—
972	#104	—	4	1	no	—
973	#104	—	4	1	no	—
974	#104	—	4	1	no	—
975	#104	—	4	1	no	—
976	#104	—	4	1	no	—
977	#104	—	4	1	no	—
978	#104	—	4	1	no	—
979	#104	—	4	1	no	—
980	#104	—	4	1	no	—
981	#104	—	4	1	no	—
982	#104	—	4	1	no	—
983	#103	C₂²×C₄	1	1	yes	characteristic
984	#103	C₂²×C₄	1	1	yes	characteristic
985	#103	C₂²×C₄	1	1	yes	characteristic
986	#103	C₂²×C₄	1	1	yes	characteristic
987	#103	C₂²×C₄	1	1	yes	characteristic
988	#103	C₂²×C₄	1	1	yes	characteristic
989	#103	C₂²×C₄	1	1	yes	characteristic
990	#103	C₂²×C₄	1	1	yes	characteristic
991	#103	C₂²×C₄	1	1	yes	characteristic
992	#103	C₂²×C₄	1	1	yes	characteristic
993	#103	C₂²×C₄	1	1	yes	characteristic
994	#103	C₂²×C₄	1	1	yes	characteristic
995	#103	C₂²×C₄	1	1	yes	characteristic
996	#103	C₂²×C₄	1	1	yes	characteristic
997	#103	C₂²×C₄	1	1	yes	characteristic
998	#103	C₂²×C₄	1	1	yes	characteristic
999	#102	C₂²×C₄	1	1	yes	characteristic
1000	#102	C₂²×C₄	1	1	yes	characteristic
1001	#102	C₂²×C₄	1	1	yes	characteristic
1002	#102	C₂²×C₄	1	1	yes	characteristic
1003	#102	C₂²×C₄	1	1	yes	characteristic
1004	#102	C₂²×C₄	1	1	yes	characteristic
1005	#102	C₂²×C₄	1	1	yes	characteristic
1006	#102	C₂²×C₄	1	1	yes	characteristic
1007	#102	C₂²×C₄	1	1	yes	characteristic
1008	#102	C₂²×C₄	1	1	yes	characteristic
1009	#102	C₂²×C₄	1	1	yes	characteristic
1010	#102	C₂²×C₄	1	1	yes	characteristic
1011	#102	C₂²×C₄	1	1	yes	characteristic
1012	#102	C₂²×C₄	1	1	yes	characteristic
1013	#102	C₂²×C₄	1	1	yes	characteristic
1014	#102	C₂²×C₄	1	1	yes	characteristic
1015	C₂²⋊C₈	—	2	1	no	—
1016	C₂²⋊C₈	—	2	1	no	—
1017	C₂²⋊C₈	—	2	1	no	—
1018	C₂²⋊C₈	—	2	1	no	—
1019	C₂²⋊C₈	—	2	1	no	—
1020	C₂²⋊C₈	—	2	1	no	—
1021	C₂²⋊C₈	—	2	1	no	—
1022	C₂²⋊C₈	—	2	1	no	—
1023	C₂²⋊C₈	—	2	1	no	—
1024	C₂²⋊C₈	—	2	1	no	—
1025	C₂²⋊C₈	—	2	1	no	—
1026	C₂²⋊C₈	—	2	1	no	—
1027	C₂²⋊C₈	—	2	1	no	—
1028	C₂²⋊C₈	—	2	1	no	—
1029	C₂²⋊C₈	—	2	1	no	—
1030	C₂²⋊C₈	—	2	1	no	—
1031	C₂²⋊C₈	—	2	1	no	—
1032	C₂²⋊C₈	—	2	1	no	—
1033	C₂²⋊C₈	—	2	1	no	—
1034	C₂²⋊C₈	—	2	1	no	—
1035	C₂²⋊C₈	—	2	1	no	—
1036	C₂²⋊C₈	—	2	1	no	—
1037	C₂²⋊C₈	—	2	1	no	—
1038	C₂²⋊C₈	—	2	1	no	—
1039	C₂²⋊C₈	—	2	1	no	—
1040	C₂²⋊C₈	—	2	1	no	—
1041	C₂²⋊C₈	—	2	1	no	—
1042	C₂²⋊C₈	—	2	1	no	—
1043	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1044	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1045	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1046	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1047	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1048	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1049	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1050	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1051	#97	—	2	1	no	—
1052	#97	—	2	1	no	—
1053	#97	—	2	1	no	—
1054	#97	—	2	1	no	—
1055	#97	—	2	1	no	—
1056	#97	—	2	1	no	—
1057	#97	—	2	1	no	—
1058	#97	—	2	1	no	—
1059	#97	—	2	1	no	—
1060	#97	—	2	1	no	—
1061	#97	—	2	1	no	—
1062	#97	—	2	1	no	—
1063	#97	—	2	1	no	—
1064	#97	—	2	1	no	—
1065	#97	—	4	1	no	—
1066	#97	—	4	1	no	—
1067	#97	—	4	1	no	—
1068	#97	—	4	1	no	—
1069	#97	C₂²×C₄	1	1	yes	characteristic
1070	#97	C₂²×C₄	1	1	yes	characteristic
1071	#97	C₂²×C₄	1	1	yes	characteristic
1072	#97	C₂²×C₄	1	1	yes	characteristic
1073	C₄×C₈	—	2	1	no	—
1074	C₄×C₈	—	2	1	no	—
1075	C₄×C₈	—	2	1	no	—
1076	C₄×C₈	—	2	1	no	—
1077	C₄×C₈	—	2	1	no	—
1078	C₄×C₈	—	2	1	no	—
1079	C₄×C₈	—	2	1	no	—
1080	C₄×C₈	—	2	1	no	—
1081	C₄×C₈	—	2	1	no	—
1082	C₄×C₈	—	2	1	no	—
1083	C₄×C₈	—	2	1	no	—
1084	C₄×C₈	—	2	1	no	—
1085	C₄×C₈	—	2	1	no	—
1086	C₄×C₈	—	2	1	no	—
1087	C₄×C₈	—	4	1	no	—
1088	C₄×C₈	—	4	1	no	—
1089	C₄×C₈	—	4	1	no	—
1090	C₄×C₈	—	4	1	no	—
1091	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1092	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1093	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1094	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1095	#95	—	2	1	no	—
1096	#95	—	2	1	no	—
1097	#95	—	2	1	no	—
1098	#95	—	2	1	no	—
1099	#95	—	2	1	no	—
1100	#95	—	2	1	no	—
1101	C₂⁴	—	2	1	no	—
1102	C₂⁴	C₂×#41	1	1	yes	characteristic
1103	#41	—	2	1	no	—
1104	#41	—	2	1	no	—
1105	#41	—	2	1	no	—
1106	#41	—	2	1	no	—
1107	#41	—	2	1	no	—
1108	#41	—	2	1	no	—
1109	#41	—	2	1	no	—
1110	#41	—	2	1	no	—
1111	#41	—	2	1	no	—
1112	#41	—	2	1	no	—
1113	#41	—	2	1	no	—
1114	#41	—	2	1	no	—
1115	#41	—	2	1	no	—
1116	#41	—	2	1	no	—
1117	#41	—	2	1	no	—
1118	#41	—	2	1	no	—
1119	#41	—	4	1	no	—
1120	#41	—	4	1	no	—
1121	#41	—	4	1	no	—
1122	#41	—	4	1	no	—
1123	#41	—	4	2	no	—
1124	#41	—	4	2	no	—
1125	#41	—	4	2	no	—
1126	#41	—	4	2	no	—
1127	C₂×Q₈	—	2	1	no	—
1128	C₂×Q₈	—	2	1	no	—
1129	C₂×Q₈	—	2	1	no	—
1130	C₂×Q₈	—	4	1	no	—
1131	C₂×Q₈	—	4	1	no	—
1132	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1133	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1134	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1135	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1136	C₂×D₄	—	2	1	no	—
1137	C₂×D₄	—	2	1	no	—
1138	C₂×D₄	—	2	1	no	—
1139	C₂×D₄	—	2	1	no	—
1140	C₂×D₄	—	2	1	no	—
1141	C₂×D₄	—	2	1	no	—
1142	C₂×D₄	—	2	1	no	—
1143	C₂×D₄	—	2	1	no	—
1144	C₂×D₄	—	2	1	no	—
1145	C₂×D₄	—	2	1	no	—
1146	C₂×D₄	—	2	1	no	—
1147	C₂×D₄	—	2	1	no	—
1148	C₂×D₄	—	2	1	no	—
1149	C₂×D₄	—	4	1	no	—
1150	C₂×D₄	—	4	1	no	—
1151	C₂×D₄	—	4	2	no	—
1152	C₂×D₄	—	4	2	no	—
1153	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1154	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1155	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1156	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1157	C₂²×C₄	—	2	1	no	—
1158	C₂²×C₄	—	2	1	no	—
1159	C₂²×C₄	—	2	1	no	—
1160	C₂²×C₄	—	2	1	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	1	no	—
1163	C₂²×C₄	—	2	1	no	—
1164	C₂²×C₄	—	2	1	no	—
1165	C₂²×C₄	—	2	1	no	—
1166	C₂²×C₄	—	2	1	no	—
1167	C₂²×C₄	—	2	1	no	—
1168	C₂²×C₄	—	2	1	no	—
1169	C₂²×C₄	—	2	1	no	—
1170	C₂²×C₄	—	2	1	no	—
1171	C₂²×C₄	—	2	1	no	—
1172	C₂²×C₄	—	2	1	no	—
1173	C₂²×C₄	—	2	1	no	—
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	1	no	—
1176	C₂²×C₄	—	2	1	no	—
1177	C₂²×C₄	—	2	1	no	—
1178	C₂²×C₄	—	2	1	no	—
1179	C₂²×C₄	—	2	1	no	—
1180	C₂²×C₄	—	2	1	no	—
1181	C₂²×C₄	—	2	1	no	—
1182	C₂²×C₄	—	2	1	no	—
1183	C₂²×C₄	—	2	1	no	—
1184	C₂²×C₄	—	2	1	no	—
1185	C₂²×C₄	—	2	1	no	—
1186	C₂²×C₄	—	4	2	no	—
1187	C₂²×C₄	—	4	2	no	—
1188	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1190	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1191	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1192	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1193	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1194	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1195	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1196	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1198	Q₁₆	—	4	1	no	—
1199	Q₁₆	—	4	1	no	—
1200	Q₁₆	—	4	1	no	—
1201	Q₁₆	—	4	1	no	—
1202	SD₁₆	—	4	1	no	—
1203	SD₁₆	—	4	1	no	—
1204	SD₁₆	—	4	1	no	—
1205	SD₁₆	—	4	1	no	—
1206	SD₁₆	—	4	1	no	—
1207	SD₁₆	—	4	1	no	—
1208	SD₁₆	—	4	1	no	—
1209	SD₁₆	—	4	1	no	—
1210	D₈	—	4	1	no	—
1211	D₈	—	4	1	no	—
1212	D₈	—	4	1	no	—
1213	D₈	—	4	1	no	—
1214	M₁₆	—	2	1	no	—
1215	M₁₆	—	2	1	no	—
1216	M₁₆	—	2	1	no	—
1217	M₁₆	—	2	1	no	—
1218	M₁₆	—	2	1	no	—
1219	M₁₆	—	2	1	no	—
1220	M₁₆	—	2	1	no	—
1221	M₁₆	—	2	1	no	—
1222	M₁₆	—	2	1	no	—
1223	M₁₆	—	2	1	no	—
1224	M₁₆	—	2	1	no	—
1225	M₁₆	—	2	1	no	—
1226	M₁₆	—	2	1	no	—
1227	M₁₆	—	2	1	no	—
1228	M₁₆	—	2	1	no	—
1229	M₁₆	—	2	1	no	—
1230	M₁₆	—	4	1	no	—
1231	M₁₆	—	4	1	no	—
1232	M₁₆	—	4	1	no	—
1233	M₁₆	—	4	1	no	—
1234	M₁₆	—	4	2	no	—
1235	M₁₆	—	4	2	no	—
1236	M₁₆	—	8	1	no	—
1237	M₁₆	—	8	1	no	—
1238	M₁₆	—	8	1	no	—
1239	M₁₆	—	8	1	no	—
1240	C₂×C₈	—	2	1	no	—
1241	C₂×C₈	—	2	1	no	—
1242	C₂×C₈	—	2	1	no	—
1243	C₂×C₈	—	2	1	no	—
1244	C₂×C₈	—	2	1	no	—
1245	C₂×C₈	—	2	1	no	—
1246	C₂×C₈	—	2	1	no	—
1247	C₂×C₈	—	2	1	no	—
1248	C₂×C₈	—	2	1	no	—
1249	C₂×C₈	—	2	1	no	—
1250	C₂×C₈	—	2	1	no	—
1251	C₂×C₈	—	2	1	no	—
1252	C₂×C₈	—	2	1	no	—
1253	C₂×C₈	—	2	1	no	—
1254	C₂×C₈	—	2	1	no	—
1255	C₂×C₈	—	2	1	no	—
1256	C₂×C₈	—	2	1	no	—
1257	C₂×C₈	—	2	1	no	—
1258	C₂×C₈	—	2	1	no	—
1259	C₂×C₈	—	2	1	no	—
1260	C₂×C₈	—	2	1	no	—
1261	C₂×C₈	—	2	1	no	—
1262	C₂×C₈	—	2	1	no	—
1263	C₂×C₈	—	2	1	no	—
1264	C₂×C₈	—	4	1	no	—
1265	C₂×C₈	—	4	1	no	—
1266	C₂×C₈	—	4	1	no	—
1267	C₂×C₈	—	4	1	no	—
1268	C₂×C₈	—	4	2	no	—
1269	C₂×C₈	—	4	2	no	—
1270	C₂×C₈	—	8	1	no	—
1271	C₂×C₈	—	8	1	no	—
1272	C₂×C₈	—	8	1	no	—
1273	C₂×C₈	—	8	1	no	—
1274	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1275	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1276	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1277	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1278	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1279	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1280	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1281	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1282	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1283	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1284	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1285	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1286	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1287	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1288	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1289	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1290	C₄⋊C₄	—	2	1	no	—
1291	C₄⋊C₄	—	2	1	no	—
1292	C₄⋊C₄	—	2	1	no	—
1293	C₄⋊C₄	—	2	1	no	—
1294	C₄⋊C₄	—	2	1	no	—
1295	C₄⋊C₄	—	2	1	no	—
1296	C₄⋊C₄	—	2	1	no	—
1297	C₄⋊C₄	—	2	1	no	—
1298	C₄⋊C₄	—	2	1	no	—
1299	C₄⋊C₄	—	2	1	no	—
1300	C₄⋊C₄	—	2	1	no	—
1301	C₄⋊C₄	—	2	1	no	—
1302	C₄⋊C₄	—	2	1	no	—
1303	C₄⋊C₄	—	2	1	no	—
1304	C₄⋊C₄	—	2	1	no	—
1305	C₄⋊C₄	—	2	1	no	—
1306	C₄⋊C₄	—	2	1	no	—
1307	C₄⋊C₄	—	2	1	no	—
1308	C₄⋊C₄	—	2	1	no	—
1309	C₄⋊C₄	—	2	1	no	—
1310	C₄⋊C₄	—	2	1	no	—
1311	C₄⋊C₄	—	2	1	no	—
1312	C₄⋊C₄	—	2	1	no	—
1313	C₄⋊C₄	—	2	1	no	—
1314	C₄⋊C₄	—	2	1	no	—
1315	C₄⋊C₄	—	2	1	no	—
1316	C₄⋊C₄	—	4	2	no	—
1317	C₄⋊C₄	—	8	1	no	—
1318	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1319	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1320	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1321	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1322	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1323	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1324	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1325	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1326	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1327	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1328	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1329	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1330	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1331	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1332	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1333	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1334	C₂²⋊C₄	—	2	1	no	—
1335	C₂²⋊C₄	—	2	1	no	—
1336	C₂²⋊C₄	—	2	1	no	—
1337	C₂²⋊C₄	—	2	1	no	—
1338	C₂²⋊C₄	—	2	1	no	—
1339	C₂²⋊C₄	—	2	1	no	—
1340	C₂²⋊C₄	—	2	1	no	—
1341	C₂²⋊C₄	—	2	1	no	—
1342	C₂²⋊C₄	—	2	1	no	—
1343	C₂²⋊C₄	—	2	1	no	—
1344	C₂²⋊C₄	—	2	1	no	—
1345	C₂²⋊C₄	—	2	1	no	—
1346	C₂²⋊C₄	—	2	1	no	—
1347	C₂²⋊C₄	—	2	1	no	—
1348	C₂²⋊C₄	—	2	1	no	—
1349	C₂²⋊C₄	—	2	1	no	—
1350	C₂²⋊C₄	—	2	1	no	—
1351	C₂²⋊C₄	—	2	1	no	—
1352	C₂²⋊C₄	—	2	1	no	—
1353	C₂²⋊C₄	—	2	1	no	—
1354	C₂²⋊C₄	—	2	1	no	—
1355	C₂²⋊C₄	—	2	1	no	—
1356	C₂²⋊C₄	—	2	1	no	—
1357	C₂²⋊C₄	—	2	1	no	—
1358	C₂²⋊C₄	—	2	1	no	—
1359	C₂²⋊C₄	—	2	1	no	—
1360	C₂²⋊C₄	—	2	1	no	—
1361	C₂²⋊C₄	—	2	1	no	—
1362	C₂²⋊C₄	—	2	1	no	—
1363	C₂²⋊C₄	—	2	1	no	—
1364	C₂²⋊C₄	—	4	2	no	—
1365	C₂²⋊C₄	—	8	1	no	—
1366	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1367	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1368	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1369	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1370	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1371	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1372	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1373	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1374	C₄²	—	2	1	no	—
1375	C₄²	—	2	1	no	—
1376	C₄²	—	2	1	no	—
1377	C₄²	—	2	1	no	—
1378	C₄²	—	2	1	no	—
1379	C₄²	—	2	1	no	—
1380	C₄²	—	2	1	no	—
1381	C₄²	—	2	1	no	—
1382	C₄²	—	2	1	no	—
1383	C₄²	—	2	1	no	—
1384	C₄²	—	2	1	no	—
1385	C₄²	—	2	1	no	—
1386	C₄²	—	2	1	no	—
1387	C₄²	—	2	1	no	—
1388	C₄²	—	2	1	no	—
1389	C₄²	—	2	1	no	—
1390	C₄²	—	2	1	no	—
1391	C₄²	—	2	1	no	—
1392	C₄²	—	2	1	no	—
1393	C₄²	—	2	1	no	—
1394	C₄²	—	2	1	no	—
1395	C₄²	—	2	1	no	—
1396	C₄²	—	2	1	no	—
1397	C₄²	—	2	1	no	—
1398	C₄²	—	2	1	no	—
1399	C₄²	—	2	1	no	—
1400	C₄²	—	4	2	no	—
1401	C₄²	—	8	1	no	—
1402	C₄²	C₂³×C₄	1	1	yes	characteristic
1403	C₄²	C₂³×C₄	1	1	yes	characteristic
1404	C₄²	C₂³×C₄	1	1	yes	characteristic
1405	C₄²	C₂³×C₄	1	1	yes	characteristic
1406	C₄²	C₂²×D₄	1	1	yes	characteristic
1407	C₄²	C₂²×D₄	1	1	yes	characteristic
1408	C₄²	C₂²×D₄	1	1	yes	characteristic
1409	C₄²	C₂²×D₄	1	1	yes	characteristic
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	4	1	no	—
1417	C₂³	—	4	1	no	—
1418	C₂³	—	4	2	no	—
1419	C₂³	—	8	1	no	—
1420	C₂³	—	8	1	no	—
1421	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1422	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1423	C₂³	C₂²×#41	1	1	yes	characteristic
1424	Q₈	—	2	1	no	—
1425	Q₈	—	2	1	no	—
1426	Q₈	—	2	1	no	—
1427	Q₈	—	2	1	no	—
1428	Q₈	—	2	1	no	—
1429	Q₈	—	2	1	no	—
1430	Q₈	—	2	1	no	—
1431	Q₈	—	2	1	no	—
1432	Q₈	—	4	2	no	—
1433	Q₈	—	8	1	no	—
1434	Q₈	—	8	1	no	—
1435	D₄	—	2	1	no	—
1436	D₄	—	2	1	no	—
1437	D₄	—	2	1	no	—
1438	D₄	—	2	1	no	—
1439	D₄	—	2	1	no	—
1440	D₄	—	2	1	no	—
1441	D₄	—	2	1	no	—
1442	D₄	—	2	1	no	—
1443	D₄	—	4	2	no	—
1444	D₄	—	4	2	no	—
1445	D₄	—	4	2	no	—
1446	D₄	—	4	1	no	—
1447	D₄	—	4	1	no	—
1448	D₄	—	4	1	no	—
1449	D₄	—	4	1	no	—
1450	D₄	—	4	1	no	—
1451	D₄	—	4	1	no	—
1452	D₄	—	4	1	no	—
1453	D₄	—	4	1	no	—
1454	D₄	—	8	1	no	—
1455	D₄	—	8	1	no	—
1456	D₄	—	8	1	no	—
1457	D₄	—	8	1	no	—
1458	D₄	—	8	1	no	—
1459	D₄	—	8	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	2	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	4	1	no	—
1484	C₂×C₄	—	4	1	no	—
1485	C₂×C₄	—	4	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	4	2	no	—
1488	C₂×C₄	—	4	2	no	—
1489	C₂×C₄	—	4	1	no	—
1490	C₂×C₄	—	4	2	no	—
1491	C₂×C₄	—	4	1	no	—
1492	C₂×C₄	—	4	1	no	—
1493	C₂×C₄	—	4	1	no	—
1494	C₂×C₄	—	4	1	no	—
1495	C₂×C₄	—	4	1	no	—
1496	C₂×C₄	—	4	1	no	—
1497	C₂×C₄	—	4	1	no	—
1498	C₂×C₄	—	4	1	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	1	no	—
1501	C₂×C₄	—	4	1	no	—
1502	C₂×C₄	—	4	1	no	—
1503	C₂×C₄	—	4	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	4	1	no	—
1506	C₂×C₄	—	4	1	no	—
1507	C₂×C₄	—	4	1	no	—
1508	C₂×C₄	—	4	1	no	—
1509	C₂×C₄	—	8	1	no	—
1510	C₂×C₄	—	8	1	no	—
1511	C₂×C₄	—	8	1	no	—
1512	C₂×C₄	—	8	1	no	—
1513	C₂×C₄	—	8	1	no	—
1514	C₂×C₄	—	8	1	no	—
1515	C₂×C₄	—	8	1	no	—
1516	C₂×C₄	—	8	1	no	—
1517	C₂×C₄	—	8	1	no	—
1518	C₂×C₄	—	8	1	no	—
1519	C₂×C₄	—	8	1	no	—
1520	C₂×C₄	—	8	1	no	—
1521	C₂×C₄	—	8	1	no	—
1522	C₂×C₄	—	8	1	no	—
1523	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1524	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1525	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1526	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1527	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1528	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1529	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1530	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1531	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1532	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1533	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1534	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1535	C₂×C₄	#585	1	1	yes	characteristic
1536	C₂×C₄	#585	1	1	yes	characteristic
1537	C₂×C₄	#585	1	1	yes	characteristic
1538	C₂×C₄	#585	1	1	yes	characteristic
1539	C₈	—	2	1	no	—
1540	C₈	—	2	1	no	—
1541	C₈	—	2	1	no	—
1542	C₈	—	2	1	no	—
1543	C₈	—	2	1	no	—
1544	C₈	—	2	1	no	—
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	2	1	no	—
1551	C₈	—	2	1	no	—
1552	C₈	—	2	1	no	—
1553	C₈	—	2	1	no	—
1554	C₈	—	2	1	no	—
1555	C₈	—	4	1	no	—
1556	C₈	—	4	1	no	—
1557	C₈	—	4	1	no	—
1558	C₈	—	4	1	no	—
1559	C₈	—	4	1	no	—
1560	C₈	—	4	1	no	—
1561	C₈	—	4	1	no	—
1562	C₈	—	4	1	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	8	1	no	—
1584	C₂²	—	8	1	no	—
1585	C₂²	—	16	2	no	—
1586	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1587	C₂²	#3493	1	1	yes	characteristic
1588	C₂²	#3493	1	1	yes	characteristic
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	2	1	no	—
1594	C₄	—	2	1	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	4	2	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	8	1	no	—
1613	C₄	—	8	1	no	—
1614	C₄	—	8	1	no	—
1615	C₄	#3428	1	1	yes	characteristic
1616	C₄	#3428	1	1	yes	characteristic
1617	C₄	#3485	1	1	yes	characteristic
1618	C₄	#3487	1	1	yes	characteristic
1619	C₂	—	2	1	no	—
1620	C₂	—	2	1	no	—
1621	C₂	—	4	1	no	—
1622	C₂	—	4	1	no	—
1623	C₂	—	8	1	no	—
1624	C₂	—	8	1	no	—
1625	C₂	—	8	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	#34201	1	1	yes	characteristic
1628	C₂	#60183	1	1	yes	characteristic
1629	C₂	#60184	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	#60557	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#424 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60267	C₂	semidirect
3. #60126	C₂	semidirect
4. #23115	C₂	semidirect
5. #23115	C₂	semidirect
6. #23114	C₂	semidirect
7. #23113	C₂	semidirect
8. #23082	C₂	semidirect
9. #23082	C₂	semidirect
10. #23081	C₂	semidirect
11. #23080	C₂	semidirect
12. #22804	C₂	semidirect
13. #22804	C₂	semidirect
14. #22803	C₂	semidirect
15. #22802	C₂	semidirect
16. #22784	C₂	semidirect
17. #22784	C₂	semidirect
18. #22783	C₂	semidirect
19. #22782	C₂	semidirect
20. #22062	C₂	semidirect
21. #22062	C₂	semidirect
22. #22061	C₂	semidirect
23. #22060	C₂	semidirect
24. #21995	C₂	semidirect
25. #21858	C₂	semidirect
26. #21594	C₂	semidirect
27. #21594	C₂	semidirect
28. #21593	C₂	semidirect
29. #21592	C₂	semidirect
30. #20749	C₂	semidirect
31. #20553	C₂	semidirect
34. #3127	C₄	semidirect
35. #3126	C₄	semidirect
36. #3125	C₄	semidirect
37. #3125	C₄	semidirect
38. #3124	C₄	semidirect
39. #3124	C₄	semidirect
40. #3123	C₄	semidirect
41. #3122	C₄	semidirect
42. #3121	C₄	semidirect
43. #3121	C₄	semidirect
44. #3120	C₄	semidirect
45. #3120	C₄	semidirect
46. #3119	C₄	semidirect
47. #3119	C₄	semidirect
48. #3118	C₄	semidirect
49. #3118	C₄	semidirect
66. #2962	C₂²	semidirect
67. #2962	C₂²	semidirect
72. #2935	C₂²	semidirect
73. #2935	C₂²	semidirect
86. #2925	C₂²	semidirect
87. #2925	C₂²	semidirect
98. #2906	C₂²	semidirect
99. #2906	C₂²	semidirect
107. #1995	C₂²	semidirect
108. #1994	C₂²	semidirect
117. #1963	C₂²	semidirect
118. #1962	C₂²	semidirect
119. #1950	C₂²	semidirect
120. #1950	C₂²	semidirect
121. #1950	C₂²	semidirect
122. #1950	C₂²	semidirect
139. #1929	C₂²	semidirect
140. #1929	C₂²	semidirect
141. #1929	C₂²	semidirect
142. #1929	C₂²	semidirect
143. #1929	C₂²	semidirect
144. #1929	C₂²	semidirect
145. #1929	C₂²	semidirect
146. #1929	C₂²	semidirect
147. #1922	C₂²	semidirect
148. #1922	C₂²	semidirect
149. #1922	C₂²	semidirect
150. #1922	C₂²	semidirect
151. #1922	C₂²	semidirect
152. #1922	C₂²	semidirect
153. #1922	C₂²	semidirect
154. #1922	C₂²	semidirect
171. #1849	C₂²	semidirect
172. #1848	C₂²	semidirect
173. #1838	C₂²	semidirect
174. #1837	C₂²	semidirect
181. #1806	C₂²	semidirect
182. #1806	C₂²	semidirect
183. #1806	C₂²	semidirect
184. #1806	C₂²	semidirect
187. #1773	C₂²	semidirect
188. #1773	C₂²	semidirect
189. #1773	C₂²	semidirect
190. #1773	C₂²	semidirect
191. #1772	C₂²	semidirect
192. #1772	C₂²	semidirect
193. #1772	C₂²	semidirect
194. #1772	C₂²	semidirect
195. #1771	C₂²	semidirect
196. #1771	C₂²	semidirect
197. #1770	C₂²	semidirect
198. C₈×C₄⋊C₄	C₂²	semidirect
199. #1768	C₂²	semidirect
200. #1768	C₂²	semidirect
201. #1767	C₂²	semidirect
202. C₄×C₄⋊C₈	C₂²	semidirect
203. #1765	C₂²	semidirect
204. #1765	C₂²	semidirect
205. #1765	C₂²	semidirect
206. #1765	C₂²	semidirect
207. #1764	C₂²	semidirect
208. #1764	C₂²	semidirect
209. #1764	C₂²	semidirect
210. #1764	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#60557	2
#60267	2
#60126	2
#23115	2
#23114	2
#23113	2
#23082	2
#23081	2
#23080	2
#22804	2
#22803	2
#22802	2
#22784	2
#22783	2
#22782	2
#22062	2
#22061	2
#22060	2
#21995	2
#21858	2
#21594	2
#21593	2
#21592	2
#20749	2
#20553	2