Subgroups — #6408813

Order 512.

1459 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34739	C₂	1	1	yes	maximal, characteristic
2	#23345	C₂	1	1	yes	maximal, characteristic, complemented
3	#23342	C₂	1	1	yes	maximal, characteristic, complemented
4	#23342	C₂	1	1	yes	maximal, characteristic, complemented
5	#23338	C₂	1	1	yes	maximal, characteristic, complemented
6	#23059	C₂	1	1	yes	maximal, characteristic, complemented
7	#23059	C₂	1	1	yes	maximal, characteristic, complemented
8	#23058	C₂	1	1	yes	maximal, characteristic, complemented
9	#23057	C₂	1	1	yes	maximal, characteristic, complemented
10	#22631	C₂	1	1	yes	maximal, characteristic, complemented
11	#22631	C₂	1	1	yes	maximal, characteristic, complemented
12	#22631	C₂	1	1	yes	maximal, characteristic, complemented
13	#22630	C₂	1	1	yes	maximal, characteristic, complemented
14	#22628	C₂	1	1	yes	maximal, characteristic, complemented
15	#22626	C₂	1	1	yes	maximal, characteristic, complemented
16	#22511	C₂	1	1	yes	maximal, characteristic, complemented
17	#22511	C₂	1	1	yes	maximal, characteristic, complemented
18	#22327	C₂	1	1	yes	maximal, characteristic, complemented
19	#22325	C₂	1	1	yes	maximal, characteristic, complemented
20	#22323	C₂	1	1	yes	maximal, characteristic, complemented
21	#22321	C₂	1	1	yes	maximal, characteristic, complemented
22	#22108	C₂	1	1	yes	maximal, characteristic, complemented
23	#22106	C₂	1	1	yes	maximal, characteristic, complemented
24	#22104	C₂	1	1	yes	maximal, characteristic, complemented
25	#22102	C₂	1	1	yes	maximal, characteristic, complemented
26	#21908	C₂	1	1	yes	maximal, characteristic
27	#21908	C₂	1	1	yes	maximal, characteristic
28	#21906	C₂	1	1	yes	maximal, characteristic
29	#21904	C₂	1	1	yes	maximal, characteristic
30	#20717	C₂	1	1	yes	maximal, characteristic
31	#20716	C₂	1	1	yes	maximal, characteristic
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂²×#117	C₂²	1	1	yes	characteristic
34	C₂×#446	C₂²	1	1	yes	characteristic, complemented
35	C₂×#446	C₂²	1	1	yes	characteristic, complemented
36	C₂×#446	C₂²	1	1	yes	characteristic, complemented
37	C₂×#446	C₂²	1	1	yes	characteristic, complemented
38	C₂×#433	C₂²	1	1	yes	characteristic
39	C₂×#433	C₂²	1	1	yes	characteristic
40	C₂×#432	C₂²	1	1	yes	characteristic
41	C₂×#431	C₂²	1	1	yes	characteristic
42	#2442	C₄	1	1	yes	characteristic
43	#2442	C₄	1	1	yes	characteristic
44	#2441	C₄	1	1	yes	characteristic
45	#2441	C₄	1	1	yes	characteristic
46	#2440	C₄	1	1	yes	characteristic
47	#2440	C₄	1	1	yes	characteristic
48	#2439	C₄	1	1	yes	characteristic
49	#2439	C₄	1	1	yes	characteristic
50	#2438	C₄	1	1	yes	characteristic
51	#2438	C₄	1	1	yes	characteristic
52	#2438	C₄	1	1	yes	characteristic
53	#2438	C₄	1	1	yes	characteristic
54	#2437	C₄	1	1	yes	characteristic
55	#2437	C₄	1	1	yes	characteristic
56	#2437	C₄	1	1	yes	characteristic
57	#2437	C₄	1	1	yes	characteristic
58	#2396	C₂²	1	1	yes	characteristic
59	#2396	C₂²	1	1	yes	characteristic
60	#2396	C₂²	1	1	yes	characteristic
61	#2396	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	#2296	C₂²	1	1	yes	characteristic
67	#2296	C₂²	1	1	yes	characteristic
68	#2285	C₂²	1	1	yes	characteristic
69	#2280	C₂²	1	1	yes	characteristic
70	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#1985	C₂²	1	1	yes	characteristic, complemented
72	#1985	C₂²	1	1	yes	characteristic, complemented
73	#1985	C₂²	1	1	yes	characteristic, complemented
74	#1985	C₂²	1	1	yes	characteristic, complemented
75	#1985	C₂²	1	1	yes	characteristic, complemented
76	#1985	C₂²	1	1	yes	characteristic, complemented
77	#1985	C₂²	1	1	yes	characteristic, complemented
78	#1985	C₂²	1	1	yes	characteristic, complemented
79	#1984	C₂²	1	1	yes	characteristic, complemented
80	#1984	C₂²	1	1	yes	characteristic, complemented
81	#1984	C₂²	1	1	yes	characteristic, complemented
82	#1984	C₂²	1	1	yes	characteristic, complemented
83	#1940	C₂²	1	1	yes	characteristic, complemented
84	#1940	C₂²	1	1	yes	characteristic, complemented
85	#1940	C₂²	1	1	yes	characteristic, complemented
86	#1940	C₂²	1	1	yes	characteristic, complemented
87	#1940	C₂²	1	1	yes	characteristic, complemented
88	#1940	C₂²	1	1	yes	characteristic, complemented
89	#1939	C₂²	1	1	yes	characteristic, complemented
90	#1939	C₂²	1	1	yes	characteristic, complemented
91	#1939	C₂²	1	1	yes	characteristic, complemented
92	#1939	C₂²	1	1	yes	characteristic, complemented
93	#1939	C₂²	1	1	yes	characteristic, complemented
94	#1939	C₂²	1	1	yes	characteristic, complemented
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1924	C₂²	1	1	yes	characteristic
100	#1924	C₂²	1	1	yes	characteristic
101	#1924	C₂²	1	1	yes	characteristic
102	#1924	C₂²	1	1	yes	characteristic
103	#1924	C₂²	1	1	yes	characteristic
104	#1924	C₂²	1	1	yes	characteristic
105	#1924	C₂²	1	1	yes	characteristic
106	#1924	C₂²	1	1	yes	characteristic
107	#1924	C₂²	1	1	yes	characteristic
108	#1924	C₂²	1	1	yes	characteristic
109	#1924	C₂²	1	1	yes	characteristic
110	#1924	C₂²	1	1	yes	characteristic
111	#1924	C₂²	1	1	yes	characteristic
112	#1924	C₂²	1	1	yes	characteristic
113	#1924	C₂²	1	1	yes	characteristic
114	#1924	C₂²	1	1	yes	characteristic
115	#1923	C₂²	1	1	yes	characteristic
116	#1923	C₂²	1	1	yes	characteristic
117	#1923	C₂²	1	1	yes	characteristic
118	#1923	C₂²	1	1	yes	characteristic
119	#1923	C₂²	1	1	yes	characteristic
120	#1923	C₂²	1	1	yes	characteristic
121	#1923	C₂²	1	1	yes	characteristic
122	#1923	C₂²	1	1	yes	characteristic
123	#1923	C₂²	1	1	yes	characteristic
124	#1923	C₂²	1	1	yes	characteristic
125	#1923	C₂²	1	1	yes	characteristic
126	#1923	C₂²	1	1	yes	characteristic
127	#1917	C₂²	1	1	yes	characteristic, complemented
128	#1917	C₂²	1	1	yes	characteristic, complemented
129	#1917	C₂²	1	1	yes	characteristic, complemented
130	#1917	C₂²	1	1	yes	characteristic, complemented
131	#1917	C₂²	1	1	yes	characteristic, complemented
132	#1917	C₂²	1	1	yes	characteristic, complemented
133	#1917	C₂²	1	1	yes	characteristic, complemented
134	#1917	C₂²	1	1	yes	characteristic, complemented
135	#1917	C₂²	1	1	yes	characteristic, complemented
136	#1917	C₂²	1	1	yes	characteristic, complemented
137	#1917	C₂²	1	1	yes	characteristic, complemented
138	#1917	C₂²	1	1	yes	characteristic, complemented
139	#1917	C₂²	1	1	yes	characteristic, complemented
140	#1917	C₂²	1	1	yes	characteristic, complemented
141	#1916	C₂²	1	1	yes	characteristic, complemented
142	#1916	C₂²	1	1	yes	characteristic, complemented
143	#1916	C₂²	1	1	yes	characteristic, complemented
144	#1916	C₂²	1	1	yes	characteristic, complemented
145	#1916	C₂²	1	1	yes	characteristic, complemented
146	#1916	C₂²	1	1	yes	characteristic, complemented
147	#1916	C₂²	1	1	yes	characteristic, complemented
148	#1916	C₂²	1	1	yes	characteristic, complemented
149	#1916	C₂²	1	1	yes	characteristic, complemented
150	#1916	C₂²	1	1	yes	characteristic, complemented
151	#1818	C₂²	1	1	yes	characteristic
152	#1818	C₂²	1	1	yes	characteristic
153	#1817	C₂²	1	1	yes	characteristic
154	#1817	C₂²	1	1	yes	characteristic
155	#1798	C₂²	1	1	yes	characteristic
156	#1798	C₂²	1	1	yes	characteristic
157	#1798	C₂²	1	1	yes	characteristic
158	#1798	C₂²	1	1	yes	characteristic
159	#1798	C₂²	1	1	yes	characteristic
160	#1798	C₂²	1	1	yes	characteristic
161	#1798	C₂²	1	1	yes	characteristic
162	#1798	C₂²	1	1	yes	characteristic
163	#1798	C₂²	1	1	yes	characteristic
164	#1798	C₂²	1	1	yes	characteristic
165	#1797	C₂²	1	1	yes	characteristic
166	#1797	C₂²	1	1	yes	characteristic
167	#1797	C₂²	1	1	yes	characteristic
168	#1797	C₂²	1	1	yes	characteristic
169	#1797	C₂²	1	1	yes	characteristic
170	#1797	C₂²	1	1	yes	characteristic
171	#1779	C₂²	1	1	yes	characteristic
172	#1779	C₂²	1	1	yes	characteristic
173	#1779	C₂²	1	1	yes	characteristic
174	#1779	C₂²	1	1	yes	characteristic
175	#1771	C₂²	1	1	yes	characteristic, complemented
176	#1771	C₂²	1	1	yes	characteristic, complemented
177	#1771	C₂²	1	1	yes	characteristic, complemented
178	#1771	C₂²	1	1	yes	characteristic, complemented
179	#1771	C₂²	1	1	yes	characteristic, complemented
180	#1771	C₂²	1	1	yes	characteristic, complemented
181	#1770	C₂²	1	1	yes	characteristic, complemented
182	#1770	C₂²	1	1	yes	characteristic, complemented
183	#1770	C₂²	1	1	yes	characteristic, complemented
184	#1770	C₂²	1	1	yes	characteristic, complemented
185	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	#1750	C₂²	1	1	yes	characteristic
188	#1750	C₂²	1	1	yes	characteristic
189	#1750	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic
191	#1750	C₂²	1	1	yes	characteristic
192	#1750	C₂²	1	1	yes	characteristic
193	#1750	C₂²	1	1	yes	characteristic
194	#1750	C₂²	1	1	yes	characteristic
195	#1750	C₂²	1	1	yes	characteristic
196	#1750	C₂²	1	1	yes	characteristic
197	#1749	C₂²	1	1	yes	characteristic
198	#1749	C₂²	1	1	yes	characteristic
199	#1749	C₂²	1	1	yes	characteristic
200	#1749	C₂²	1	1	yes	characteristic
201	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
202	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	#533	—	4	2	no	—
205	#533	—	4	2	no	—
206	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
208	C₂×#125	C₂×C₄	1	1	yes	characteristic
209	C₂×#125	C₂×C₄	1	1	yes	characteristic
210	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
211	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
212	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
213	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
214	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
215	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
222	C₂×#117	—	4	2	no	—
223	C₂×#117	—	4	2	no	—
224	C₂×#117	C₂×C₄	1	1	yes	characteristic
225	C₂×#117	C₂×C₄	1	1	yes	characteristic
226	C₂×#117	C₂×C₄	1	1	yes	characteristic
227	C₂×#117	C₂×C₄	1	1	yes	characteristic
228	C₂×#117	C₂³	1	1	yes	characteristic
229	C₂×#117	C₂³	1	1	yes	characteristic
230	C₂×#117	C₂³	1	1	yes	characteristic
231	C₂×#117	C₂³	1	1	yes	characteristic
232	C₂×#117	C₂³	1	1	yes	characteristic
233	C₂×#117	C₂³	1	1	yes	characteristic
234	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
235	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
236	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
237	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
238	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
239	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
240	C₂²×C₄²	C₂³	1	1	yes	characteristic
241	C₂²×C₄²	C₂³	1	1	yes	characteristic
242	C₂²×C₄²	C₂³	1	1	yes	characteristic
243	C₂²×C₄²	C₂³	1	1	yes	characteristic
244	#446	—	4	2	no	—
245	#446	—	4	2	no	—
246	#446	—	4	2	no	—
247	#446	—	4	2	no	—
248	#433	—	4	2	no	—
249	#433	—	4	2	no	—
250	#432	—	4	2	no	—
251	#431	—	4	2	no	—
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×#97	C₂³	1	1	yes	characteristic
301	C₂×#97	C₂³	1	1	yes	characteristic
302	C₂×#97	C₂³	1	1	yes	characteristic
303	C₂×#97	C₂³	1	1	yes	characteristic
304	C₂×#97	C₂³	1	1	yes	characteristic
305	C₂×#97	C₂³	1	1	yes	characteristic
306	C₂×#97	C₂³	1	1	yes	characteristic
307	C₂×#97	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	C₂³	1	1	yes	characteristic
310	C₂×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
318	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
319	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
320	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
321	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
322	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
324	#400	C₂×C₄	1	1	yes	characteristic
325	#400	C₂×C₄	1	1	yes	characteristic
326	#400	C₂×C₄	1	1	yes	characteristic
327	#400	C₂×C₄	1	1	yes	characteristic
328	#399	C₂×C₄	1	1	yes	characteristic
329	#399	C₂×C₄	1	1	yes	characteristic
330	#399	C₂×C₄	1	1	yes	characteristic
331	#399	C₂×C₄	1	1	yes	characteristic
332	#398	C₂×C₄	1	1	yes	characteristic
333	#398	C₂×C₄	1	1	yes	characteristic
334	#398	C₂×C₄	1	1	yes	characteristic
335	#398	C₂×C₄	1	1	yes	characteristic
336	#398	C₂×C₄	1	1	yes	characteristic
337	#398	C₂×C₄	1	1	yes	characteristic
338	#398	C₂×C₄	1	1	yes	characteristic
339	#398	C₂×C₄	1	1	yes	characteristic
340	#396	C₂×C₄	1	1	yes	characteristic
341	#396	C₂×C₄	1	1	yes	characteristic
342	#396	C₂×C₄	1	1	yes	characteristic
343	#396	C₂×C₄	1	1	yes	characteristic
344	#396	C₂×C₄	1	1	yes	characteristic
345	#396	C₂×C₄	1	1	yes	characteristic
346	#396	C₂×C₄	1	1	yes	characteristic
347	#396	C₂×C₄	1	1	yes	characteristic
348	#395	C₂×C₄	1	1	yes	characteristic
349	#395	C₂×C₄	1	1	yes	characteristic
350	#395	C₂×C₄	1	1	yes	characteristic
351	#395	C₂×C₄	1	1	yes	characteristic
352	#393	C₂×C₄	1	1	yes	characteristic
353	#393	C₂×C₄	1	1	yes	characteristic
354	#393	C₂×C₄	1	1	yes	characteristic
355	#393	C₂×C₄	1	1	yes	characteristic
356	#391	C₂×C₄	1	1	yes	characteristic
357	#391	C₂×C₄	1	1	yes	characteristic
358	#391	C₂×C₄	1	1	yes	characteristic
359	#391	C₂×C₄	1	1	yes	characteristic
360	#389	C₂×C₄	1	1	yes	characteristic
361	#389	C₂×C₄	1	1	yes	characteristic
362	#389	C₂×C₄	1	1	yes	characteristic
363	#389	C₂×C₄	1	1	yes	characteristic
364	#389	C₂×C₄	1	1	yes	characteristic
365	#389	C₂×C₄	1	1	yes	characteristic
366	#389	C₂×C₄	1	1	yes	characteristic
367	#389	C₂×C₄	1	1	yes	characteristic
368	#389	C₂×C₄	1	1	yes	characteristic
369	#389	C₂×C₄	1	1	yes	characteristic
370	#389	C₂×C₄	1	1	yes	characteristic
371	#389	C₂×C₄	1	1	yes	characteristic
372	#387	C₂×C₄	1	1	yes	characteristic
373	#387	C₂×C₄	1	1	yes	characteristic
374	#387	C₂×C₄	1	1	yes	characteristic
375	#387	C₂×C₄	1	1	yes	characteristic
376	#387	C₂×C₄	1	1	yes	characteristic
377	#387	C₂×C₄	1	1	yes	characteristic
378	#387	C₂×C₄	1	1	yes	characteristic
379	#387	C₂×C₄	1	1	yes	characteristic
380	#385	C₂×C₄	1	1	yes	characteristic
381	#385	C₂×C₄	1	1	yes	characteristic
382	#385	C₂×C₄	1	1	yes	characteristic
383	#385	C₂×C₄	1	1	yes	characteristic
384	#385	C₂×C₄	1	1	yes	characteristic
385	#385	C₂×C₄	1	1	yes	characteristic
386	#385	C₂×C₄	1	1	yes	characteristic
387	#385	C₂×C₄	1	1	yes	characteristic
388	#385	C₂×C₄	1	1	yes	characteristic
389	#385	C₂×C₄	1	1	yes	characteristic
390	#385	C₂×C₄	1	1	yes	characteristic
391	#385	C₂×C₄	1	1	yes	characteristic
392	#385	C₂×C₄	1	1	yes	characteristic
393	#385	C₂×C₄	1	1	yes	characteristic
394	#385	C₂×C₄	1	1	yes	characteristic
395	#385	C₂×C₄	1	1	yes	characteristic
396	#384	C₂×C₄	1	1	yes	characteristic
397	#384	C₂×C₄	1	1	yes	characteristic
398	#382	C₂×C₄	1	1	yes	characteristic
399	#382	C₂×C₄	1	1	yes	characteristic
400	#381	C₂×C₄	1	1	yes	characteristic
401	#381	C₂×C₄	1	1	yes	characteristic
402	#380	C₂×C₄	1	1	yes	characteristic
403	#380	C₂×C₄	1	1	yes	characteristic
404	#380	C₂×C₄	1	1	yes	characteristic
405	#380	C₂×C₄	1	1	yes	characteristic
406	#380	C₂×C₄	1	1	yes	characteristic
407	#380	C₂×C₄	1	1	yes	characteristic
408	#380	C₂×C₄	1	1	yes	characteristic
409	#380	C₂×C₄	1	1	yes	characteristic
410	#380	C₂×C₄	1	1	yes	characteristic
411	#380	C₂×C₄	1	1	yes	characteristic
412	#380	C₂×C₄	1	1	yes	characteristic
413	#380	C₂×C₄	1	1	yes	characteristic
414	#379	C₂×C₄	1	1	yes	characteristic
415	#379	C₂×C₄	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
420	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
421	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
429	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
430	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
431	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
432	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
440	C₂×#95	C₂×C₄	1	1	yes	characteristic
441	C₂×#95	C₂×C₄	1	1	yes	characteristic
442	#336	C₂³	1	1	yes	characteristic
443	#336	C₂³	1	1	yes	characteristic
444	#336	C₂³	1	1	yes	characteristic
445	#336	C₂³	1	1	yes	characteristic
446	#336	C₂³	1	1	yes	characteristic
447	#336	C₂³	1	1	yes	characteristic
448	#336	C₂³	1	1	yes	characteristic
449	#336	C₂³	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	C₂⁵	C₂²×C₄	1	1	yes	characteristic
491	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
492	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
493	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
494	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
495	C₂³×C₄	—	2	2	no	—
496	C₂³×C₄	—	2	2	no	—
497	C₂³×C₄	—	4	1	no	—
498	C₂³×C₄	—	4	1	no	—
499	C₂³×C₄	—	4	1	no	—
500	C₂³×C₄	—	4	1	no	—
501	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
502	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
503	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
505	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
506	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
507	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
511	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂³×C₄	C₂⁴	1	1	yes	characteristic
513	C₂³×C₄	C₂⁴	1	1	yes	characteristic
514	C₂³×C₄	C₂⁴	1	1	yes	characteristic
515	C₂²×C₈	C₂⁴	1	1	yes	characteristic
516	C₂²×C₈	C₂⁴	1	1	yes	characteristic
517	C₂²×C₈	C₂⁴	1	1	yes	characteristic
518	C₂²×C₈	C₂⁴	1	1	yes	characteristic
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₂²×C₈	C₂⁴	1	1	yes	characteristic
522	C₂²×C₈	C₂⁴	1	1	yes	characteristic
523	C₂²×C₈	C₂⁴	1	1	yes	characteristic
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₄⋊Q₈	—	4	2	no	—
532	C₄⋊Q₈	—	4	2	no	—
533	#125	—	4	2	no	—
534	#125	—	4	2	no	—
535	C₂²⋊Q₈	—	4	2	no	—
536	C₂²⋊Q₈	—	4	2	no	—
537	C₂²⋊Q₈	—	4	2	no	—
538	C₂²⋊Q₈	—	4	2	no	—
539	C₂²⋊Q₈	—	4	2	no	—
540	C₂²⋊Q₈	—	4	2	no	—
541	C₂²⋊Q₈	—	4	2	no	—
542	C₂²⋊Q₈	—	4	2	no	—
543	C₄×Q₈	—	2	2	no	—
544	C₄×Q₈	—	2	2	no	—
545	C₄×Q₈	—	2	2	no	—
546	C₄×Q₈	—	2	2	no	—
547	C₄×Q₈	—	4	1	no	—
548	C₄×Q₈	—	4	1	no	—
549	C₄×Q₈	—	4	1	no	—
550	C₄×Q₈	—	4	1	no	—
551	#117	—	2	2	no	—
552	#117	—	2	2	no	—
553	#117	—	2	2	no	—
554	#117	—	2	2	no	—
555	#117	—	4	1	no	—
556	#117	—	4	1	no	—
557	#117	—	4	1	no	—
558	#117	—	4	1	no	—
559	#117	—	4	1	no	—
560	#117	—	4	1	no	—
561	#117	—	4	1	no	—
562	#117	—	4	1	no	—
563	#117	—	4	2	no	—
564	#117	—	4	2	no	—
565	#117	—	4	2	no	—
566	#117	—	4	2	no	—
567	C₂×C₄⋊C₄	—	4	2	no	—
568	C₂×C₄⋊C₄	—	4	2	no	—
569	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₂²⋊C₄	—	4	2	no	—
618	C₂×C₂²⋊C₄	—	4	2	no	—
619	C₂×C₂²⋊C₄	—	4	2	no	—
620	C₂×C₂²⋊C₄	—	4	2	no	—
621	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄²	—	2	2	no	—
650	C₂×C₄²	—	2	2	no	—
651	C₂×C₄²	—	4	1	no	—
652	C₂×C₄²	—	4	1	no	—
653	C₂×C₄²	—	4	1	no	—
654	C₂×C₄²	—	4	1	no	—
655	C₂×C₄²	—	4	1	no	—
656	C₂×C₄²	—	4	1	no	—
657	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄²	C₂⁴	1	1	yes	characteristic
666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
670	C₂×C₄²	C₂⁴	1	1	yes	characteristic
671	C₂×C₄²	C₂⁴	1	1	yes	characteristic
672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
676	C₂×C₄²	C₂⁴	1	1	yes	characteristic
677	C₄⋊C₈	—	2	2	no	—
678	C₄⋊C₈	—	2	2	no	—
679	C₄⋊C₈	—	2	2	no	—
680	C₄⋊C₈	—	2	2	no	—
681	C₄⋊C₈	—	4	1	no	—
682	C₄⋊C₈	—	4	1	no	—
683	C₄⋊C₈	—	4	1	no	—
684	C₄⋊C₈	—	4	1	no	—
685	C₄⋊C₈	—	4	1	no	—
686	C₄⋊C₈	—	4	1	no	—
687	C₄⋊C₈	—	4	1	no	—
688	C₄⋊C₈	—	4	1	no	—
689	C₄⋊C₈	—	4	1	no	—
690	C₄⋊C₈	—	4	1	no	—
691	C₄⋊C₈	—	4	1	no	—
692	C₄⋊C₈	—	4	1	no	—
693	C₄⋊C₈	—	4	1	no	—
694	C₄⋊C₈	—	4	1	no	—
695	C₄⋊C₈	—	4	1	no	—
696	C₄⋊C₈	—	4	1	no	—
697	C₄⋊C₈	—	4	1	no	—
698	C₄⋊C₈	—	4	1	no	—
699	C₄⋊C₈	—	4	1	no	—
700	C₄⋊C₈	—	4	1	no	—
701	C₂²⋊C₈	—	2	2	no	—
702	C₂²⋊C₈	—	2	2	no	—
703	C₂²⋊C₈	—	2	2	no	—
704	C₂²⋊C₈	—	2	2	no	—
705	C₂²⋊C₈	—	2	2	no	—
706	C₂²⋊C₈	—	2	2	no	—
707	C₂²⋊C₈	—	2	2	no	—
708	C₂²⋊C₈	—	2	2	no	—
709	C₂²⋊C₈	—	4	1	no	—
710	C₂²⋊C₈	—	4	1	no	—
711	C₂²⋊C₈	—	4	1	no	—
712	C₂²⋊C₈	—	4	1	no	—
713	C₂²⋊C₈	—	4	1	no	—
714	C₂²⋊C₈	—	4	1	no	—
715	C₂²⋊C₈	—	4	1	no	—
716	C₂²⋊C₈	—	4	1	no	—
717	C₂²⋊C₈	—	4	1	no	—
718	C₂²⋊C₈	—	4	1	no	—
719	C₂²⋊C₈	—	4	1	no	—
720	C₂²⋊C₈	—	4	1	no	—
721	C₂²⋊C₈	—	4	1	no	—
722	C₂²⋊C₈	—	4	1	no	—
723	C₂²⋊C₈	—	4	1	no	—
724	C₂²⋊C₈	—	4	1	no	—
725	#97	—	2	2	no	—
726	#97	—	2	2	no	—
727	#97	—	4	1	no	—
728	#97	—	4	1	no	—
729	#97	—	4	1	no	—
730	#97	—	4	1	no	—
731	#97	—	4	1	no	—
732	#97	—	4	1	no	—
733	#97	—	4	1	no	—
734	#97	—	4	1	no	—
735	#97	—	4	1	no	—
736	#97	—	4	1	no	—
737	#97	—	4	1	no	—
738	#97	—	4	1	no	—
739	C₄×C₈	—	2	2	no	—
740	C₄×C₈	—	2	2	no	—
741	C₄×C₈	—	4	1	no	—
742	C₄×C₈	—	4	1	no	—
743	C₄×C₈	—	4	1	no	—
744	C₄×C₈	—	4	1	no	—
745	C₄×C₈	—	4	1	no	—
746	C₄×C₈	—	4	1	no	—
747	C₄×C₈	—	4	1	no	—
748	C₄×C₈	—	4	1	no	—
749	#95	C₂²×C₄	1	1	yes	characteristic
750	#95	C₂²×C₄	1	1	yes	characteristic
751	#95	C₂²×C₄	1	1	yes	characteristic
752	#95	C₂²×C₄	1	1	yes	characteristic
753	#95	C₂²×C₄	1	1	yes	characteristic
754	#95	C₂²×C₄	1	1	yes	characteristic
755	#95	C₂²×C₄	1	1	yes	characteristic
756	#95	C₂²×C₄	1	1	yes	characteristic
757	#95	C₂²×C₄	1	1	yes	characteristic
758	#95	C₂²×C₄	1	1	yes	characteristic
759	#95	C₂²×C₄	1	1	yes	characteristic
760	#95	C₂²×C₄	1	1	yes	characteristic
761	#95	C₂²×C₄	1	1	yes	characteristic
762	#95	C₂²×C₄	1	1	yes	characteristic
763	#95	C₂²×C₄	1	1	yes	characteristic
764	#95	C₂²×C₄	1	1	yes	characteristic
765	#95	C₂²×C₄	1	1	yes	characteristic
766	#95	C₂²×C₄	1	1	yes	characteristic
767	#95	C₂²×C₄	1	1	yes	characteristic
768	#95	C₂²×C₄	1	1	yes	characteristic
769	#95	C₂²×C₄	1	1	yes	characteristic
770	#95	C₂²×C₄	1	1	yes	characteristic
771	#95	C₂²×C₄	1	1	yes	characteristic
772	#95	C₂²×C₄	1	1	yes	characteristic
773	#95	C₂²×C₄	1	1	yes	characteristic
774	#95	C₂²×C₄	1	1	yes	characteristic
775	#95	C₂²×C₄	1	1	yes	characteristic
776	#95	C₂²×C₄	1	1	yes	characteristic
777	#95	C₂²×C₄	1	1	yes	characteristic
778	#95	C₂²×C₄	1	1	yes	characteristic
779	#95	C₂²×C₄	1	1	yes	characteristic
780	#95	C₂²×C₄	1	1	yes	characteristic
781	#95	C₂²×C₄	1	1	yes	characteristic
782	#95	C₂²×C₄	1	1	yes	characteristic
783	#95	C₂²×C₄	1	1	yes	characteristic
784	#95	C₂²×C₄	1	1	yes	characteristic
785	#95	C₂²×C₄	1	1	yes	characteristic
786	#95	C₂²×C₄	1	1	yes	characteristic
787	#95	C₂²×C₄	1	1	yes	characteristic
788	#95	C₂²×C₄	1	1	yes	characteristic
789	C₂⁴	—	2	2	no	—
790	C₂⁴	—	2	2	no	—
791	C₂⁴	—	4	1	no	—
792	C₂⁴	—	4	1	no	—
793	C₂⁴	—	4	1	no	—
794	C₂⁴	—	4	1	no	—
795	C₂⁴	—	4	1	no	—
796	C₂⁴	C₂³×C₄	1	1	yes	characteristic
797	C₂⁴	C₂³×C₄	1	1	yes	characteristic
798	C₂⁴	C₂³×C₄	1	1	yes	characteristic
799	C₂×Q₈	—	2	2	no	—
800	C₂×Q₈	—	2	2	no	—
801	C₂×Q₈	—	4	1	no	—
802	C₂×Q₈	—	4	1	no	—
803	C₂×Q₈	—	4	1	no	—
804	C₂×Q₈	—	4	1	no	—
805	C₂×Q₈	—	4	1	no	—
806	C₂×Q₈	—	4	1	no	—
807	C₂×Q₈	—	4	1	no	—
808	C₂×Q₈	—	4	1	no	—
809	C₂×Q₈	—	4	1	no	—
810	C₂×Q₈	—	4	1	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	1	no	—
814	C₂²×C₄	—	2	1	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	no	—
825	C₂²×C₄	—	2	1	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	4	1	no	—
836	C₂²×C₄	—	4	1	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	—	4	1	no	—
851	C₂²×C₄	—	4	1	no	—
852	C₂²×C₄	—	4	1	no	—
853	C₂²×C₄	—	4	1	no	—
854	C₂²×C₄	—	4	1	no	—
855	C₂²×C₄	—	4	1	no	—
856	C₂²×C₄	—	4	1	no	—
857	C₂²×C₄	—	4	1	no	—
858	C₂²×C₄	—	4	1	no	—
859	C₂²×C₄	—	4	1	no	—
860	C₂²×C₄	—	4	4	no	—
861	C₂²×C₄	—	4	4	no	—
862	C₂²×C₄	—	4	4	no	—
863	C₂²×C₄	—	4	4	no	—
864	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
865	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
866	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
867	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
868	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
869	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
870	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
871	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
872	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
873	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
874	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
875	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
876	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
877	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
878	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
879	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
880	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
881	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
882	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
883	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
884	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
885	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
886	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
887	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
888	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
889	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
890	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
891	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
892	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
893	C₂²×C₄	C₂⁵	1	1	yes	characteristic
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	1	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	—	2	1	no	—
912	C₂×C₈	—	2	1	no	—
913	C₂×C₈	—	2	1	no	—
914	C₂×C₈	—	2	1	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₂×C₈	—	2	1	no	—
918	C₂×C₈	—	2	1	no	—
919	C₂×C₈	—	2	1	no	—
920	C₂×C₈	—	2	1	no	—
921	C₂×C₈	—	2	1	no	—
922	C₂×C₈	—	2	1	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	4	1	no	—
957	C₄⋊C₄	—	4	1	no	—
958	C₄⋊C₄	—	4	1	no	—
959	C₄⋊C₄	—	4	1	no	—
960	C₄⋊C₄	—	4	1	no	—
961	C₄⋊C₄	—	4	1	no	—
962	C₄⋊C₄	—	4	1	no	—
963	C₄⋊C₄	—	4	1	no	—
964	C₄⋊C₄	—	4	1	no	—
965	C₄⋊C₄	—	4	1	no	—
966	C₄⋊C₄	—	4	1	no	—
967	C₄⋊C₄	—	4	1	no	—
968	C₄⋊C₄	—	4	1	no	—
969	C₄⋊C₄	—	4	1	no	—
970	C₄⋊C₄	—	4	1	no	—
971	C₄⋊C₄	—	4	1	no	—
972	C₄⋊C₄	—	4	1	no	—
973	C₄⋊C₄	—	4	1	no	—
974	C₄⋊C₄	—	4	1	no	—
975	C₄⋊C₄	—	4	1	no	—
976	C₄⋊C₄	—	4	1	no	—
977	C₄⋊C₄	—	4	1	no	—
978	C₄⋊C₄	—	4	1	no	—
979	C₄⋊C₄	—	4	1	no	—
980	C₄⋊C₄	—	4	1	no	—
981	C₄⋊C₄	—	4	1	no	—
982	C₄⋊C₄	—	4	1	no	—
983	C₄⋊C₄	—	4	1	no	—
984	C₄⋊C₄	—	4	1	no	—
985	C₄⋊C₄	—	4	1	no	—
986	C₄⋊C₄	—	4	1	no	—
987	C₄⋊C₄	—	4	1	no	—
988	C₄⋊C₄	—	4	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	4	1	no	—
1001	C₂²⋊C₄	—	4	1	no	—
1002	C₂²⋊C₄	—	4	1	no	—
1003	C₂²⋊C₄	—	4	1	no	—
1004	C₂²⋊C₄	—	4	1	no	—
1005	C₂²⋊C₄	—	4	1	no	—
1006	C₂²⋊C₄	—	4	1	no	—
1007	C₂²⋊C₄	—	4	1	no	—
1008	C₂²⋊C₄	—	4	1	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	4	1	no	—
1011	C₂²⋊C₄	—	4	1	no	—
1012	C₂²⋊C₄	—	4	1	no	—
1013	C₂²⋊C₄	—	4	1	no	—
1014	C₂²⋊C₄	—	4	1	no	—
1015	C₂²⋊C₄	—	4	1	no	—
1016	C₂²⋊C₄	—	4	1	no	—
1017	C₂²⋊C₄	—	4	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	4	1	no	—
1043	C₄²	—	4	1	no	—
1044	C₄²	—	4	1	no	—
1045	C₄²	—	4	1	no	—
1046	C₄²	—	4	1	no	—
1047	C₄²	—	4	1	no	—
1048	C₄²	H(5,𝔽₂)	1	2	yes	—
1049	C₄²	H(5,𝔽₂)	1	2	yes	—
1050	C₂³	—	2	1	no	—
1051	C₂³	—	2	1	no	—
1052	C₂³	—	2	1	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	4	4	no	—
1070	C₂³	—	4	4	no	—
1071	C₂³	—	8	2	no	—
1072	C₂³	—	8	2	no	—
1073	C₂³	—	8	2	no	—
1074	C₂³	—	8	2	no	—
1075	C₂³	—	8	2	no	—
1076	C₂³	#519	1	2	yes	—
1077	C₂³	#568	1	2	yes	—
1078	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1079	Q₈	—	8	2	no	—
1080	Q₈	—	8	2	no	—
1081	Q₈	—	8	2	no	—
1082	Q₈	—	8	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	4	4	no	—
1165	C₂×C₄	—	4	4	no	—
1166	C₂×C₄	—	4	4	no	—
1167	C₂×C₄	—	4	4	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	8	2	no	—
1177	C₂×C₄	—	8	2	no	—
1178	C₂×C₄	—	8	2	no	—
1179	C₂×C₄	—	8	2	no	—
1180	C₂×C₄	—	8	2	no	—
1181	C₂×C₄	—	8	2	no	—
1182	C₂×C₄	—	8	2	no	—
1183	C₂×C₄	#518	1	2	yes	—
1184	C₂×C₄	#518	1	2	yes	—
1185	C₂×C₄	#519	1	2	yes	—
1186	C₂×C₄	#568	1	2	yes	—
1187	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1189	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1190	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1191	C₂×C₄	#585	1	1	yes	characteristic
1192	C₂×C₄	#585	1	1	yes	characteristic
1193	C₈	—	4	1	no	—
1194	C₈	—	4	1	no	—
1195	C₈	—	4	1	no	—
1196	C₈	—	4	1	no	—
1197	C₈	—	4	1	no	—
1198	C₈	—	4	1	no	—
1199	C₈	—	4	1	no	—
1200	C₈	—	4	1	no	—
1201	C₈	—	4	1	no	—
1202	C₈	—	4	1	no	—
1203	C₈	—	4	1	no	—
1204	C₈	—	4	1	no	—
1205	C₈	—	4	1	no	—
1206	C₈	—	4	1	no	—
1207	C₈	—	4	1	no	—
1208	C₈	—	4	1	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	2	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	2	2	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	8	8	no	—
1231	C₂²	C₂×#518	1	1	yes	characteristic
1232	C₂²	C₂×#519	1	1	yes	characteristic
1233	C₂²	#3428	1	1	yes	characteristic
1234	C₂²	C₂×#568	1	1	yes	characteristic
1235	C₂²	C₂×#568	1	1	yes	characteristic
1236	C₂²	#3573	1	1	yes	characteristic
1237	C₂²	#3573	1	1	yes	characteristic
1238	C₄	—	2	2	no	—
1239	C₄	—	2	2	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	2	2	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	#3541	1	1	yes	characteristic
1266	C₄	#3541	1	1	yes	characteristic
1267	C₄	#3541	1	1	yes	characteristic
1268	C₄	#3541	1	1	yes	characteristic
1269	C₂	—	4	2	no	—
1270	C₂	—	4	2	no	—
1271	C₂	—	8	1	no	—
1272	C₂	#34370	1	1	yes	characteristic
1273	C₂	#60240	1	1	yes	characteristic
1274	C₂	#60241	1	1	yes	characteristic
1275	C₂	#60251	1	1	yes	characteristic
1276	C₂	#60252	1	1	yes	characteristic
1277	C₂	#60299	1	1	yes	characteristic
1278	C₂	#60299	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
2. #23345	C₂	semidirect
3. #23342	C₂	semidirect
4. #23342	C₂	semidirect
5. #23338	C₂	semidirect
6. #23059	C₂	semidirect
7. #23059	C₂	semidirect
8. #23058	C₂	semidirect
9. #23057	C₂	semidirect
10. #22631	C₂	semidirect
11. #22631	C₂	semidirect
12. #22631	C₂	semidirect
13. #22630	C₂	semidirect
14. #22628	C₂	semidirect
15. #22626	C₂	semidirect
16. #22511	C₂	semidirect
17. #22511	C₂	semidirect
18. #22327	C₂	semidirect
19. #22325	C₂	semidirect
20. #22323	C₂	semidirect
21. #22321	C₂	semidirect
22. #22108	C₂	semidirect
23. #22106	C₂	semidirect
24. #22104	C₂	semidirect
25. #22102	C₂	semidirect
34. C₂×#446	C₂²	semidirect
35. C₂×#446	C₂²	semidirect
36. C₂×#446	C₂²	semidirect
37. C₂×#446	C₂²	semidirect
71. #1985	C₂²	semidirect
72. #1985	C₂²	semidirect
73. #1985	C₂²	semidirect
74. #1985	C₂²	semidirect
75. #1985	C₂²	semidirect
76. #1985	C₂²	semidirect
77. #1985	C₂²	semidirect
78. #1985	C₂²	semidirect
79. #1984	C₂²	semidirect
80. #1984	C₂²	semidirect
81. #1984	C₂²	semidirect
82. #1984	C₂²	semidirect
83. #1940	C₂²	semidirect
84. #1940	C₂²	semidirect
85. #1940	C₂²	semidirect
86. #1940	C₂²	semidirect
87. #1940	C₂²	semidirect
88. #1940	C₂²	semidirect
89. #1939	C₂²	semidirect
90. #1939	C₂²	semidirect
91. #1939	C₂²	semidirect
92. #1939	C₂²	semidirect
93. #1939	C₂²	semidirect
94. #1939	C₂²	semidirect
127. #1917	C₂²	semidirect
128. #1917	C₂²	semidirect
129. #1917	C₂²	semidirect
130. #1917	C₂²	semidirect
131. #1917	C₂²	semidirect
132. #1917	C₂²	semidirect
133. #1917	C₂²	semidirect
134. #1917	C₂²	semidirect
135. #1917	C₂²	semidirect
136. #1917	C₂²	semidirect
137. #1917	C₂²	semidirect
138. #1917	C₂²	semidirect
139. #1917	C₂²	semidirect
140. #1917	C₂²	semidirect
141. #1916	C₂²	semidirect
142. #1916	C₂²	semidirect
143. #1916	C₂²	semidirect
144. #1916	C₂²	semidirect
145. #1916	C₂²	semidirect
146. #1916	C₂²	semidirect
147. #1916	C₂²	semidirect
148. #1916	C₂²	semidirect
149. #1916	C₂²	semidirect
150. #1916	C₂²	semidirect
175. #1771	C₂²	semidirect
176. #1771	C₂²	semidirect
177. #1771	C₂²	semidirect
178. #1771	C₂²	semidirect
179. #1771	C₂²	semidirect
180. #1771	C₂²	semidirect
181. #1770	C₂²	semidirect
182. #1770	C₂²	semidirect
183. #1770	C₂²	semidirect
184. #1770	C₂²	semidirect
185. C₈×C₄⋊C₄	C₂²	semidirect
186. C₈×C₄⋊C₄	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#34739	2
#23345	2
#23342	2
#23338	2
#23059	2
#23058	2
#23057	2
#22631	2
#22630	2
#22628	2
#22626	2
#22511	2
#22327	2
#22325	2
#22323	2
#22321	2
#22108	2
#22106	2
#22104	2
#22102	2
#21908	2
#21906	2
#21904	2
#20717	2
#20716	2