Subgroups — #6395458

Order 512.

1673 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60915	C₂	1	1	yes	maximal, characteristic
2	#60270	C₂	1	1	yes	maximal, characteristic, complemented
3	#60212	C₂	1	1	yes	maximal, characteristic, complemented
4	#23148	C₂	1	1	yes	maximal, characteristic, complemented
5	#23148	C₂	1	1	yes	maximal, characteristic, complemented
6	#23147	C₂	1	1	yes	maximal, characteristic, complemented
7	#23146	C₂	1	1	yes	maximal, characteristic, complemented
8	#23115	C₂	1	1	yes	maximal, characteristic, complemented
9	#23113	C₂	1	1	yes	maximal, characteristic, complemented
10	#23082	C₂	1	1	yes	maximal, characteristic, complemented
11	#23080	C₂	1	1	yes	maximal, characteristic, complemented
12	#23021	C₂	1	1	yes	maximal, characteristic, complemented
13	#23021	C₂	1	1	yes	maximal, characteristic, complemented
14	#23019	C₂	1	1	yes	maximal, characteristic, complemented
15	#23018	C₂	1	1	yes	maximal, characteristic, complemented
16	#23017	C₂	1	1	yes	maximal, characteristic, complemented
17	#23016	C₂	1	1	yes	maximal, characteristic, complemented
18	#22984	C₂	1	1	yes	maximal, characteristic, complemented
19	#22983	C₂	1	1	yes	maximal, characteristic, complemented
20	#22167	C₂	1	1	yes	maximal, characteristic, complemented
21	#22165	C₂	1	1	yes	maximal, characteristic, complemented
22	#22132	C₂	1	1	yes	maximal, characteristic, complemented
23	#22131	C₂	1	1	yes	maximal, characteristic, complemented
24	#21858	C₂	1	1	yes	maximal, characteristic, complemented
25	#21629	C₂	1	1	yes	maximal, characteristic, complemented
26	#21627	C₂	1	1	yes	maximal, characteristic, complemented
27	#21519	C₂	1	1	yes	maximal, characteristic, complemented
28	#21518	C₂	1	1	yes	maximal, characteristic, complemented
29	#21384	C₂	1	1	yes	maximal, characteristic, complemented
30	#21178	C₂	1	1	yes	maximal, characteristic, complemented
31	#20553	C₂	1	1	yes	maximal, characteristic, complemented
32	#3455	C₂²	1	1	yes	characteristic
33	#3455	C₂²	1	1	yes	characteristic
34	#3263	C₄	1	1	yes	characteristic, complemented
35	#3263	C₄	1	1	yes	characteristic, complemented
36	#3262	C₄	1	1	yes	characteristic, complemented
37	#3262	C₄	1	1	yes	characteristic, complemented
38	#3261	C₄	1	1	yes	characteristic, complemented
39	#3260	C₄	1	1	yes	characteristic, complemented
40	#3260	C₄	1	1	yes	characteristic, complemented
41	#3259	C₄	1	1	yes	characteristic, complemented
42	#3258	C₄	1	1	yes	characteristic, complemented
43	#3258	C₄	1	1	yes	characteristic, complemented
44	#3258	C₄	1	1	yes	characteristic, complemented
45	#3258	C₄	1	1	yes	characteristic, complemented
46	#3257	C₄	1	1	yes	characteristic, complemented
47	#3257	C₄	1	1	yes	characteristic, complemented
48	#3257	C₄	1	1	yes	characteristic, complemented
49	#3257	C₄	1	1	yes	characteristic, complemented
50	#3076	C₂²	1	1	yes	characteristic
51	#3076	C₂²	1	1	yes	characteristic
52	#3076	C₂²	1	1	yes	characteristic
53	#3076	C₂²	1	1	yes	characteristic
54	#3054	C₂²	1	1	yes	characteristic
55	#3054	C₂²	1	1	yes	characteristic
56	#3050	C₂²	1	1	yes	characteristic
57	#3050	C₂²	1	1	yes	characteristic
58	#3035	C₂²	1	1	yes	characteristic
59	#3035	C₂²	1	1	yes	characteristic
60	#3035	C₂²	1	1	yes	characteristic
61	#3035	C₂²	1	1	yes	characteristic
62	#2995	—	2	1	no	—
63	#2995	—	2	1	no	—
64	#2994	—	2	1	no	—
65	#2994	—	2	1	no	—
66	#2993	—	2	1	no	—
67	#2993	—	2	1	no	—
68	#2992	—	2	1	no	—
69	#2992	—	2	1	no	—
70	#2969	—	2	1	no	—
71	#2969	—	2	1	no	—
72	#2968	—	2	1	no	—
73	#2968	—	2	1	no	—
74	#2967	—	2	1	no	—
75	#2967	—	2	1	no	—
76	#2966	—	2	1	no	—
77	#2966	—	2	1	no	—
78	#2962	C₂²	1	1	yes	characteristic
79	#2962	C₂²	1	1	yes	characteristic
80	#2961	C₂²	1	1	yes	characteristic
81	#2960	C₂²	1	1	yes	characteristic
82	C₂×#444	C₂²	1	1	yes	characteristic
83	C₂×#444	C₂²	1	1	yes	characteristic
84	C₂×#444	C₂²	1	1	yes	characteristic
85	C₂×#443	C₂²	1	1	yes	characteristic
86	#2935	C₂²	1	1	yes	characteristic
87	#2935	C₂²	1	1	yes	characteristic
88	#2933	C₂²	1	1	yes	characteristic
89	#2933	C₂²	1	1	yes	characteristic
90	#2933	C₂²	1	1	yes	characteristic
91	#2933	C₂²	1	1	yes	characteristic
92	#2933	C₂²	1	1	yes	characteristic
93	#2933	C₂²	1	1	yes	characteristic
94	#2933	C₂²	1	1	yes	characteristic
95	#2933	C₂²	1	1	yes	characteristic
96	#2932	C₂²	1	1	yes	characteristic
97	#2931	C₂²	1	1	yes	characteristic
98	#2925	C₂²	1	1	yes	characteristic
99	#2925	C₂²	1	1	yes	characteristic
100	#2923	C₂²	1	1	yes	characteristic
101	#2922	C₂²	1	1	yes	characteristic
102	C₂×#433	C₂²	1	1	yes	characteristic
103	C₂×#430	C₂²	1	1	yes	characteristic
104	C₂²×#108	C₂²	1	1	yes	characteristic
105	#2906	C₂²	1	1	yes	characteristic
106	#2906	C₂²	1	1	yes	characteristic
107	#2905	C₂²	1	1	yes	characteristic
108	C₂×#424	C₂²	1	1	yes	characteristic
109	#2875	C₂²	1	1	yes	characteristic
110	C₄×#131	C₂²	1	1	yes	characteristic
111	#2873	C₂²	1	1	yes	characteristic
112	#2298	C₂²	1	1	yes	characteristic
113	#1995	C₂²	1	1	yes	characteristic
114	#1994	C₂²	1	1	yes	characteristic
115	#1986	C₂²	1	1	yes	characteristic
116	#1986	C₂²	1	1	yes	characteristic
117	#1980	C₂²	1	1	yes	characteristic
118	#1980	C₂²	1	1	yes	characteristic
119	#1975	C₂²	1	1	yes	characteristic
120	#1974	C₂²	1	1	yes	characteristic
121	#1974	C₂²	1	1	yes	characteristic
122	#1974	C₂²	1	1	yes	characteristic
123	#1963	C₂²	1	1	yes	characteristic
124	#1962	C₂²	1	1	yes	characteristic
125	#1950	C₂²	1	1	yes	characteristic
126	#1950	C₂²	1	1	yes	characteristic
127	#1950	C₂²	1	1	yes	characteristic
128	#1950	C₂²	1	1	yes	characteristic
129	#1950	C₂²	1	1	yes	characteristic
130	#1950	C₂²	1	1	yes	characteristic
131	#1950	C₂²	1	1	yes	characteristic
132	#1950	C₂²	1	1	yes	characteristic
133	#1946	C₂²	1	1	yes	characteristic
134	#1946	C₂²	1	1	yes	characteristic
135	#1946	C₂²	1	1	yes	characteristic
136	#1945	C₂²	1	1	yes	characteristic
137	#1938	C₂²	1	1	yes	characteristic
138	#1938	C₂²	1	1	yes	characteristic
139	#1938	C₂²	1	1	yes	characteristic
140	#1938	C₂²	1	1	yes	characteristic
141	#1937	C₂²	1	1	yes	characteristic
142	#1937	C₂²	1	1	yes	characteristic
143	#1937	C₂²	1	1	yes	characteristic
144	#1937	C₂²	1	1	yes	characteristic
145	#1929	C₂²	1	1	yes	characteristic
146	#1929	C₂²	1	1	yes	characteristic
147	#1929	C₂²	1	1	yes	characteristic
148	#1929	C₂²	1	1	yes	characteristic
149	#1929	C₂²	1	1	yes	characteristic
150	#1929	C₂²	1	1	yes	characteristic
151	#1929	C₂²	1	1	yes	characteristic
152	#1929	C₂²	1	1	yes	characteristic
153	#1922	C₂²	1	1	yes	characteristic
154	#1922	C₂²	1	1	yes	characteristic
155	#1922	C₂²	1	1	yes	characteristic
156	#1922	C₂²	1	1	yes	characteristic
157	#1922	C₂²	1	1	yes	characteristic
158	#1922	C₂²	1	1	yes	characteristic
159	#1922	C₂²	1	1	yes	characteristic
160	#1922	C₂²	1	1	yes	characteristic
161	#1876	C₂²	1	1	yes	characteristic
162	#1876	C₂²	1	1	yes	characteristic
163	#1876	C₂²	1	1	yes	characteristic
164	#1876	C₂²	1	1	yes	characteristic
165	#1876	C₂²	1	1	yes	characteristic
166	#1876	C₂²	1	1	yes	characteristic
167	#1876	C₂²	1	1	yes	characteristic
168	#1876	C₂²	1	1	yes	characteristic
169	#1871	C₂²	1	1	yes	characteristic
170	#1871	C₂²	1	1	yes	characteristic
171	#1871	C₂²	1	1	yes	characteristic
172	#1871	C₂²	1	1	yes	characteristic
173	#1871	C₂²	1	1	yes	characteristic
174	#1871	C₂²	1	1	yes	characteristic
175	#1871	C₂²	1	1	yes	characteristic
176	#1871	C₂²	1	1	yes	characteristic
177	#1866	C₂²	1	1	yes	characteristic
178	#1866	C₂²	1	1	yes	characteristic
179	#1866	C₂²	1	1	yes	characteristic
180	#1866	C₂²	1	1	yes	characteristic
181	#1866	C₂²	1	1	yes	characteristic
182	#1866	C₂²	1	1	yes	characteristic
183	#1866	C₂²	1	1	yes	characteristic
184	#1866	C₂²	1	1	yes	characteristic
185	#1806	C₂²	1	1	yes	characteristic
186	#1806	C₂²	1	1	yes	characteristic
187	#1806	C₂²	1	1	yes	characteristic
188	#1806	C₂²	1	1	yes	characteristic
189	#1773	C₂²	1	1	yes	characteristic
190	#1772	C₂²	1	1	yes	characteristic
191	#1772	C₂²	1	1	yes	characteristic
192	#1772	C₂²	1	1	yes	characteristic
193	#1771	C₂²	1	1	yes	characteristic
194	#1771	C₂²	1	1	yes	characteristic
195	#1770	C₂²	1	1	yes	characteristic
196	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
197	#1768	C₂²	1	1	yes	characteristic
198	#1768	C₂²	1	1	yes	characteristic
199	#1767	C₂²	1	1	yes	characteristic
200	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
201	#1765	C₂²	1	1	yes	characteristic
202	#1765	C₂²	1	1	yes	characteristic
203	#1765	C₂²	1	1	yes	characteristic
204	#1765	C₂²	1	1	yes	characteristic
205	#1764	C₂²	1	1	yes	characteristic
206	#1764	C₂²	1	1	yes	characteristic
207	#1764	C₂²	1	1	yes	characteristic
208	#1764	C₂²	1	1	yes	characteristic
209	#1759	C₂²	1	1	yes	characteristic
210	#1759	C₂²	1	1	yes	characteristic
211	C₄×#104	C₂²	1	1	yes	characteristic
212	C₄×#104	C₂²	1	1	yes	characteristic
213	#1753	C₂²	1	1	yes	characteristic
214	#1753	C₂²	1	1	yes	characteristic
215	#1752	C₂²	1	1	yes	characteristic
216	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
217	#1738	C₂²	1	1	yes	characteristic
218	C₂×#341	C₂²	1	1	yes	characteristic
219	C₂×#135	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×#131	C₂³	1	1	yes	characteristic
224	C₂×#131	C₂³	1	1	yes	characteristic
225	C₂×#131	C₂³	1	1	yes	characteristic
226	C₂×#131	C₂³	1	1	yes	characteristic
227	C₂×#131	C₂³	1	1	yes	characteristic
228	C₂×#131	C₂³	1	1	yes	characteristic
229	C₂×#131	C₂³	1	1	yes	characteristic
230	C₂×#131	C₂³	1	1	yes	characteristic
231	C₂²×M₁₆	C₂³	1	1	yes	characteristic
232	C₂²×M₁₆	C₂³	1	1	yes	characteristic
233	C₂²×M₁₆	C₂³	1	1	yes	characteristic
234	C₂²×M₁₆	C₂³	1	1	yes	characteristic
235	C₂²×M₁₆	C₂³	1	1	yes	characteristic
236	C₂³×C₈	C₂³	1	1	yes	characteristic
237	#542	C₂×C₄	1	1	yes	characteristic
238	#542	C₂×C₄	1	1	yes	characteristic
239	#542	C₂×C₄	1	1	yes	characteristic
240	#542	C₂×C₄	1	1	yes	characteristic
241	#542	C₂×C₄	1	1	yes	characteristic
242	#542	C₂×C₄	1	1	yes	characteristic
243	#542	C₂×C₄	1	1	yes	characteristic
244	#542	C₂×C₄	1	1	yes	characteristic
245	#541	C₂×C₄	1	1	yes	characteristic
246	#541	C₂×C₄	1	1	yes	characteristic
247	#541	C₂×C₄	1	1	yes	characteristic
248	#541	C₂×C₄	1	1	yes	characteristic
249	#540	C₂×C₄	1	1	yes	characteristic
250	#540	C₂×C₄	1	1	yes	characteristic
251	#540	C₂×C₄	1	1	yes	characteristic
252	#540	C₂×C₄	1	1	yes	characteristic
253	#539	—	2	1	no	—
254	#539	—	2	1	no	—
255	#539	—	2	1	no	—
256	#539	—	2	1	no	—
257	#538	—	2	1	no	—
258	#538	—	2	1	no	—
259	#538	—	2	1	no	—
260	#538	—	2	1	no	—
261	#533	C₂³	1	1	yes	characteristic
262	#533	C₂³	1	1	yes	characteristic
263	#532	C₂³	1	1	yes	characteristic
264	#532	C₂³	1	1	yes	characteristic
265	#529	—	2	1	no	—
266	#529	—	2	1	no	—
267	#529	—	2	1	no	—
268	#529	—	2	1	no	—
269	#529	—	2	1	no	—
270	#529	—	2	1	no	—
271	#529	—	2	1	no	—
272	#529	—	2	1	no	—
273	#525	C₂³	1	1	yes	characteristic
274	#525	C₂³	1	1	yes	characteristic
275	#525	C₂³	1	1	yes	characteristic
276	#525	C₂³	1	1	yes	characteristic
277	C₄×#41	C₂³	1	1	yes	characteristic
278	C₄×#41	C₂³	1	1	yes	characteristic
279	C₄×#41	C₂³	1	1	yes	characteristic
280	C₄×#41	C₂³	1	1	yes	characteristic
281	C₂×#117	C₂³	1	1	yes	characteristic
282	#479	C₂×C₄	1	1	yes	characteristic
283	#479	C₂×C₄	1	1	yes	characteristic
284	#479	C₂×C₄	1	1	yes	characteristic
285	#479	C₂×C₄	1	1	yes	characteristic
286	#479	C₂×C₄	1	1	yes	characteristic
287	#479	C₂×C₄	1	1	yes	characteristic
288	#479	C₂×C₄	1	1	yes	characteristic
289	#479	C₂×C₄	1	1	yes	characteristic
290	#478	C₂×C₄	1	1	yes	characteristic
291	#478	C₂×C₄	1	1	yes	characteristic
292	#478	C₂×C₄	1	1	yes	characteristic
293	#478	C₂×C₄	1	1	yes	characteristic
294	#478	C₂×C₄	1	1	yes	characteristic
295	#478	C₂×C₄	1	1	yes	characteristic
296	#478	C₂×C₄	1	1	yes	characteristic
297	#478	C₂×C₄	1	1	yes	characteristic
298	#477	C₂×C₄	1	1	yes	characteristic
299	#477	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	#476	C₂×C₄	1	1	yes	characteristic
305	#476	C₂×C₄	1	1	yes	characteristic
306	#475	C₂×C₄	1	1	yes	characteristic
307	#475	C₂×C₄	1	1	yes	characteristic
308	#475	C₂×C₄	1	1	yes	characteristic
309	#475	C₂×C₄	1	1	yes	characteristic
310	#474	C₂×C₄	1	1	yes	characteristic
311	#474	C₂×C₄	1	1	yes	characteristic
312	#474	C₂×C₄	1	1	yes	characteristic
313	#474	C₂×C₄	1	1	yes	characteristic
314	#470	C₂×C₄	1	1	yes	characteristic
315	#470	C₂×C₄	1	1	yes	characteristic
316	#470	C₂×C₄	1	1	yes	characteristic
317	#470	C₂×C₄	1	1	yes	characteristic
318	#469	C₂×C₄	1	1	yes	characteristic
319	#469	C₂×C₄	1	1	yes	characteristic
320	#469	C₂×C₄	1	1	yes	characteristic
321	#469	C₂×C₄	1	1	yes	characteristic
322	#468	C₂×C₄	1	1	yes	characteristic
323	#468	C₂×C₄	1	1	yes	characteristic
324	#468	C₂×C₄	1	1	yes	characteristic
325	#468	C₂×C₄	1	1	yes	characteristic
326	#468	C₂×C₄	1	1	yes	characteristic
327	#468	C₂×C₄	1	1	yes	characteristic
328	#468	C₂×C₄	1	1	yes	characteristic
329	#468	C₂×C₄	1	1	yes	characteristic
330	#467	C₂×C₄	1	1	yes	characteristic
331	#467	C₂×C₄	1	1	yes	characteristic
332	#467	C₂×C₄	1	1	yes	characteristic
333	#467	C₂×C₄	1	1	yes	characteristic
334	#466	C₂×C₄	1	1	yes	characteristic
335	#466	C₂×C₄	1	1	yes	characteristic
336	#466	C₂×C₄	1	1	yes	characteristic
337	#466	C₂×C₄	1	1	yes	characteristic
338	#465	C₂×C₄	1	1	yes	characteristic
339	#465	C₂×C₄	1	1	yes	characteristic
340	#465	C₂×C₄	1	1	yes	characteristic
341	#465	C₂×C₄	1	1	yes	characteristic
342	#465	C₂×C₄	1	1	yes	characteristic
343	#465	C₂×C₄	1	1	yes	characteristic
344	#465	C₂×C₄	1	1	yes	characteristic
345	#465	C₂×C₄	1	1	yes	characteristic
346	#464	C₂×C₄	1	1	yes	characteristic
347	#464	C₂×C₄	1	1	yes	characteristic
348	#464	C₂×C₄	1	1	yes	characteristic
349	#464	C₂×C₄	1	1	yes	characteristic
350	#464	C₂×C₄	1	1	yes	characteristic
351	#464	C₂×C₄	1	1	yes	characteristic
352	#464	C₂×C₄	1	1	yes	characteristic
353	#464	C₂×C₄	1	1	yes	characteristic
354	#463	C₂×C₄	1	1	yes	characteristic
355	#463	C₂×C₄	1	1	yes	characteristic
356	#463	C₂×C₄	1	1	yes	characteristic
357	#463	C₂×C₄	1	1	yes	characteristic
358	#463	C₂×C₄	1	1	yes	characteristic
359	#463	C₂×C₄	1	1	yes	characteristic
360	#463	C₂×C₄	1	1	yes	characteristic
361	#463	C₂×C₄	1	1	yes	characteristic
362	#462	C₂×C₄	1	1	yes	characteristic
363	#462	C₂×C₄	1	1	yes	characteristic
364	#462	C₂×C₄	1	1	yes	characteristic
365	#462	C₂×C₄	1	1	yes	characteristic
366	#461	C₂×C₄	1	1	yes	characteristic
367	#461	C₂×C₄	1	1	yes	characteristic
368	#461	C₂×C₄	1	1	yes	characteristic
369	#461	C₂×C₄	1	1	yes	characteristic
370	#460	C₂×C₄	1	1	yes	characteristic
371	#460	C₂×C₄	1	1	yes	characteristic
372	#460	C₂×C₄	1	1	yes	characteristic
373	#460	C₂×C₄	1	1	yes	characteristic
374	#459	C₂×C₄	1	1	yes	characteristic
375	#459	C₂×C₄	1	1	yes	characteristic
376	#459	C₂×C₄	1	1	yes	characteristic
377	#459	C₂×C₄	1	1	yes	characteristic
378	#446	—	2	1	no	—
379	#446	—	2	1	no	—
380	#446	—	2	1	no	—
381	#446	—	2	1	no	—
382	#446	—	2	1	no	—
383	#446	—	2	1	no	—
384	#446	—	2	1	no	—
385	#446	—	2	1	no	—
386	#446	—	2	1	no	—
387	#446	—	2	1	no	—
388	#446	—	2	1	no	—
389	#446	—	2	1	no	—
390	C₈×Q₈	—	2	1	no	—
391	C₈×Q₈	—	2	1	no	—
392	C₈×Q₈	—	2	1	no	—
393	C₈×Q₈	—	2	1	no	—
394	#444	—	4	2	no	—
395	#444	—	4	2	no	—
396	#444	—	4	2	no	—
397	#443	—	4	2	no	—
398	#436	—	2	1	no	—
399	#436	—	2	1	no	—
400	#436	—	2	1	no	—
401	#436	—	2	1	no	—
402	#436	—	2	1	no	—
403	#436	—	2	1	no	—
404	#436	—	2	1	no	—
405	#436	—	2	1	no	—
406	#436	—	2	1	no	—
407	#436	—	2	1	no	—
408	#436	—	2	1	no	—
409	#436	—	2	1	no	—
410	#435	—	2	1	no	—
411	#435	—	2	1	no	—
412	#435	—	2	1	no	—
413	#435	—	2	1	no	—
414	#435	—	2	1	no	—
415	#435	—	2	1	no	—
416	#435	—	2	1	no	—
417	#435	—	2	1	no	—
418	#435	—	2	1	no	—
419	#435	—	2	1	no	—
420	#435	—	2	1	no	—
421	#435	—	2	1	no	—
422	#435	—	2	1	no	—
423	#435	—	2	1	no	—
424	#435	—	2	1	no	—
425	#435	—	2	1	no	—
426	#435	—	2	1	no	—
427	#435	—	2	1	no	—
428	#435	—	2	1	no	—
429	#435	—	2	1	no	—
430	#435	—	2	1	no	—
431	#435	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	C₈×D₄	—	2	1	no	—
435	C₈×D₄	—	2	1	no	—
436	C₈×D₄	—	2	1	no	—
437	C₈×D₄	—	2	1	no	—
438	C₈×D₄	—	2	1	no	—
439	C₈×D₄	—	2	1	no	—
440	C₈×D₄	—	2	1	no	—
441	C₈×D₄	—	2	1	no	—
442	C₈×D₄	—	2	1	no	—
443	C₈×D₄	—	2	1	no	—
444	C₈×D₄	—	2	1	no	—
445	C₈×D₄	—	2	1	no	—
446	#433	—	2	1	no	—
447	#433	—	2	1	no	—
448	#433	—	2	1	no	—
449	#433	—	2	1	no	—
450	#433	—	2	1	no	—
451	#433	—	2	1	no	—
452	#433	—	2	1	no	—
453	#433	—	2	1	no	—
454	#433	D₄	1	1	yes	characteristic
455	#433	D₄	1	1	yes	characteristic
456	#433	D₄	1	1	yes	characteristic
457	#433	D₄	1	1	yes	characteristic
458	#433	D₄	1	1	yes	characteristic
459	#433	D₄	1	1	yes	characteristic
460	#433	D₄	1	1	yes	characteristic
461	#433	D₄	1	1	yes	characteristic
462	#432	—	2	1	no	—
463	#432	—	2	1	no	—
464	#432	—	2	1	no	—
465	#432	—	2	1	no	—
466	#431	—	2	1	no	—
467	#431	—	2	1	no	—
468	#431	—	2	1	no	—
469	#431	—	2	1	no	—
470	#430	—	4	2	no	—
471	C₂×#108	—	4	2	no	—
472	C₂×#108	C₂³	1	1	yes	characteristic
473	C₂×#108	C₂³	1	1	yes	characteristic
474	C₂×#108	C₂³	1	1	yes	characteristic
475	C₂×#108	C₂³	1	1	yes	characteristic
476	C₂×#108	C₂³	1	1	yes	characteristic
477	C₂×#108	C₂³	1	1	yes	characteristic
478	C₂×#108	C₂³	1	1	yes	characteristic
479	C₂×#108	C₂³	1	1	yes	characteristic
480	#427	C₂³	1	1	yes	characteristic
481	#427	C₂³	1	1	yes	characteristic
482	#427	C₂³	1	1	yes	characteristic
483	#427	C₂³	1	1	yes	characteristic
484	#424	—	2	1	no	—
485	#424	—	2	1	no	—
486	#424	—	2	1	no	—
487	#424	—	2	1	no	—
488	#424	—	2	1	no	—
489	#424	—	2	1	no	—
490	#424	—	2	1	no	—
491	#424	—	2	1	no	—
492	#424	C₂×C₄	1	1	yes	characteristic
493	#424	C₂×C₄	1	1	yes	characteristic
494	#424	C₂×C₄	1	1	yes	characteristic
495	#424	C₂×C₄	1	1	yes	characteristic
496	#424	C₂×C₄	1	1	yes	characteristic
497	#424	C₂×C₄	1	1	yes	characteristic
498	#424	C₂×C₄	1	1	yes	characteristic
499	#424	C₂×C₄	1	1	yes	characteristic
500	#424	C₂³	1	1	yes	characteristic
501	#424	C₂³	1	1	yes	characteristic
502	#424	C₂³	1	1	yes	characteristic
503	#424	C₂³	1	1	yes	characteristic
504	#424	C₂³	1	1	yes	characteristic
505	#424	C₂³	1	1	yes	characteristic
506	#424	C₂³	1	1	yes	characteristic
507	#424	C₂³	1	1	yes	characteristic
508	#423	—	2	1	no	—
509	#423	—	2	1	no	—
510	#423	C₂³	1	1	yes	characteristic
511	#423	C₂³	1	1	yes	characteristic
512	#423	C₂³	1	1	yes	characteristic
513	#423	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₈	—	2	1	no	—
515	C₂×C₄⋊C₈	—	2	1	no	—
516	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
518	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
519	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
520	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
521	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
522	C₂×#104	C₂³	1	1	yes	characteristic
523	C₂×#104	C₂³	1	1	yes	characteristic
524	C₂×#104	C₂³	1	1	yes	characteristic
525	C₂×#104	C₂³	1	1	yes	characteristic
526	C₂×#104	C₂³	1	1	yes	characteristic
527	C₂×#104	C₂³	1	1	yes	characteristic
528	C₂×#104	C₂³	1	1	yes	characteristic
529	C₂×#104	C₂³	1	1	yes	characteristic
530	C₂×#104	C₂³	1	1	yes	characteristic
531	C₂×#104	C₂³	1	1	yes	characteristic
532	C₂×#104	C₂³	1	1	yes	characteristic
533	C₂×#104	C₂³	1	1	yes	characteristic
534	C₂×#104	C₂³	1	1	yes	characteristic
535	C₂×#104	C₂³	1	1	yes	characteristic
536	C₂×#104	C₂³	1	1	yes	characteristic
537	C₂×#104	C₂³	1	1	yes	characteristic
538	#416	C₂³	1	1	yes	characteristic
539	#416	C₂³	1	1	yes	characteristic
540	#416	C₂³	1	1	yes	characteristic
541	#416	C₂³	1	1	yes	characteristic
542	#416	C₂³	1	1	yes	characteristic
543	#416	C₂³	1	1	yes	characteristic
544	#416	C₂³	1	1	yes	characteristic
545	#416	C₂³	1	1	yes	characteristic
546	#408	C₂³	1	1	yes	characteristic
547	#408	C₂³	1	1	yes	characteristic
548	#408	C₂³	1	1	yes	characteristic
549	#408	C₂³	1	1	yes	characteristic
550	#408	C₂³	1	1	yes	characteristic
551	#408	C₂³	1	1	yes	characteristic
552	#408	C₂³	1	1	yes	characteristic
553	#408	C₂³	1	1	yes	characteristic
554	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
555	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
556	#405	—	2	1	no	—
557	#405	—	2	1	no	—
558	#405	—	2	1	no	—
559	#405	—	2	1	no	—
560	#405	—	2	1	no	—
561	#405	—	2	1	no	—
562	#405	—	2	1	no	—
563	#405	—	2	1	no	—
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	#405	C₂³	1	1	yes	characteristic
569	#405	C₂³	1	1	yes	characteristic
570	#405	C₂³	1	1	yes	characteristic
571	#405	C₂³	1	1	yes	characteristic
572	C₄×M₁₆	—	2	1	no	—
573	C₄×M₁₆	—	2	1	no	—
574	C₄×M₁₆	C₂³	1	1	yes	characteristic
575	C₄×M₁₆	C₂³	1	1	yes	characteristic
576	C₄×M₁₆	C₂³	1	1	yes	characteristic
577	C₄×M₁₆	C₂³	1	1	yes	characteristic
578	C₂×#97	—	2	1	no	—
579	C₂×#97	C₂³	1	1	yes	characteristic
580	C₂×#97	C₂³	1	1	yes	characteristic
581	C₂×#97	C₂³	1	1	yes	characteristic
582	C₂×#97	C₂³	1	1	yes	characteristic
583	C₂×#97	C₂³	1	1	yes	characteristic
584	C₂×C₄×C₈	—	2	1	no	—
585	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
586	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
587	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
588	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
589	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
590	#388	—	2	1	no	—
591	#388	—	2	1	no	—
592	#387	—	2	1	no	—
593	#387	—	2	1	no	—
594	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
595	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
596	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
597	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
598	#376	C₂³	1	1	yes	characteristic
599	C₄³	C₂³	1	1	yes	characteristic
600	#341	C₂³	1	1	yes	characteristic
601	#341	C₂³	1	1	yes	characteristic
602	#341	C₂³	1	1	yes	characteristic
603	#341	C₂³	1	1	yes	characteristic
604	#341	C₂³	1	1	yes	characteristic
605	#341	C₂³	1	1	yes	characteristic
606	#341	C₂³	1	1	yes	characteristic
607	#341	C₂³	1	1	yes	characteristic
608	#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	#339	C₂³	1	1	yes	characteristic
619	#339	C₂³	1	1	yes	characteristic
620	#339	C₂³	1	1	yes	characteristic
621	#339	C₂³	1	1	yes	characteristic
622	#339	C₂³	1	1	yes	characteristic
623	#339	C₂³	1	1	yes	characteristic
624	#336	C₂³	1	1	yes	characteristic
625	#336	C₂³	1	1	yes	characteristic
626	#336	C₂³	1	1	yes	characteristic
627	#336	C₂³	1	1	yes	characteristic
628	#336	C₂³	1	1	yes	characteristic
629	#336	C₂³	1	1	yes	characteristic
630	#336	C₂³	1	1	yes	characteristic
631	#336	C₂³	1	1	yes	characteristic
632	C₂×#41	C₂⁴	1	1	yes	characteristic
633	C₂×#41	C₂⁴	1	1	yes	characteristic
634	C₂×#41	C₂⁴	1	1	yes	characteristic
635	C₂×#41	C₂⁴	1	1	yes	characteristic
636	C₂³×C₄	C₂⁴	1	1	yes	characteristic
637	#135	—	4	1	no	—
638	#135	—	4	1	no	—
639	#135	—	4	1	no	—
640	#135	—	4	1	no	—
641	#135	—	4	1	no	—
642	#135	—	4	1	no	—
643	#135	—	4	1	no	—
644	#135	—	4	1	no	—
645	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
646	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
647	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
648	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
649	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
650	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
651	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
652	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
653	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
654	C₂×SD₁₆	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×D₈	C₂²×C₄	1	1	yes	characteristic
658	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
659	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
660	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
661	#131	—	2	2	no	—
662	#131	—	2	2	no	—
663	#131	—	2	2	no	—
664	#131	—	2	2	no	—
665	#131	—	4	1	no	—
666	#131	—	4	1	no	—
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	#131	—	4	1	no	—
676	#131	—	4	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	—	2	1	no	—
682	C₂×M₁₆	—	2	1	no	—
683	C₂×M₁₆	—	2	1	no	—
684	C₂×M₁₆	—	2	1	no	—
685	C₂×M₁₆	—	2	1	no	—
686	C₂×M₁₆	—	2	1	no	—
687	C₂×M₁₆	—	2	1	no	—
688	C₂×M₁₆	—	2	1	no	—
689	C₂×M₁₆	—	2	2	no	—
690	C₂×M₁₆	—	2	2	no	—
691	C₂×M₁₆	—	4	1	no	—
692	C₂×M₁₆	—	4	1	no	—
693	C₂×M₁₆	—	4	1	no	—
694	C₂×M₁₆	—	4	1	no	—
695	C₂×M₁₆	—	4	1	no	—
696	C₂×M₁₆	—	4	1	no	—
697	C₂×M₁₆	—	4	1	no	—
698	C₂×M₁₆	—	4	1	no	—
699	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
700	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
701	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
702	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
703	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
704	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
705	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
706	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
707	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
708	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
709	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
710	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
711	C₂²×C₈	—	2	1	no	—
712	C₂²×C₈	—	2	1	no	—
713	C₂²×C₈	—	2	1	no	—
714	C₂²×C₈	—	2	1	no	—
715	C₂²×C₈	—	2	1	no	—
716	C₂²×C₈	—	2	1	no	—
717	C₂²×C₈	—	2	1	no	—
718	C₂²×C₈	—	2	1	no	—
719	C₂²×C₈	—	2	1	no	—
720	C₂²×C₈	—	2	1	no	—
721	C₂²×C₈	—	2	1	no	—
722	C₂²×C₈	—	2	1	no	—
723	C₂²×C₈	—	4	1	no	—
724	C₂²×C₈	—	4	1	no	—
725	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
726	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
727	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
728	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
729	C₂²×C₈	C₂⁴	1	1	yes	characteristic
730	C₂²×C₈	C₂⁴	1	1	yes	characteristic
731	C₂²×C₈	C₂⁴	1	1	yes	characteristic
732	C₂²×C₈	C₂⁴	1	1	yes	characteristic
733	C₂²×C₈	C₂⁴	1	1	yes	characteristic
734	C₂²×C₈	C₂⁴	1	1	yes	characteristic
735	C₂²×C₈	C₂⁴	1	1	yes	characteristic
736	C₂²×C₈	C₂⁴	1	1	yes	characteristic
737	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
738	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
739	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
740	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
741	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
742	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
743	#127	C₂²×C₄	1	1	yes	characteristic
744	#127	C₂²×C₄	1	1	yes	characteristic
745	#126	—	2	1	no	—
746	#126	—	2	1	no	—
747	#126	—	2	1	no	—
748	#126	—	2	1	no	—
749	#126	—	2	1	no	—
750	#126	—	2	1	no	—
751	#126	—	2	1	no	—
752	#126	—	2	1	no	—
753	#126	—	2	1	no	—
754	#126	—	2	1	no	—
755	#126	—	2	1	no	—
756	#126	—	2	1	no	—
757	#126	—	2	1	no	—
758	#126	—	2	1	no	—
759	#126	—	2	1	no	—
760	#126	—	2	1	no	—
761	#125	—	2	1	no	—
762	#125	—	2	1	no	—
763	#125	—	2	1	no	—
764	#125	—	2	1	no	—
765	#125	—	2	1	no	—
766	#125	—	2	1	no	—
767	#125	—	2	1	no	—
768	#125	—	2	1	no	—
769	#125	C₂²×C₄	1	1	yes	characteristic
770	#125	C₂²×C₄	1	1	yes	characteristic
771	#125	C₂²×C₄	1	1	yes	characteristic
772	#125	C₂²×C₄	1	1	yes	characteristic
773	#124	—	2	1	no	—
774	#124	—	2	1	no	—
775	#124	—	2	1	no	—
776	#124	—	2	1	no	—
777	#124	—	2	1	no	—
778	#124	—	2	1	no	—
779	#124	—	2	1	no	—
780	#124	—	2	1	no	—
781	#124	C₂²×C₄	1	1	yes	characteristic
782	#124	C₂²×C₄	1	1	yes	characteristic
783	#124	C₂²×C₄	1	1	yes	characteristic
784	#124	C₂²×C₄	1	1	yes	characteristic
785	#123	—	2	1	no	—
786	#123	—	2	1	no	—
787	#123	—	2	1	no	—
788	#123	—	2	1	no	—
789	#123	—	2	1	no	—
790	#123	—	2	1	no	—
791	#123	—	2	1	no	—
792	#123	—	2	1	no	—
793	#123	—	2	1	no	—
794	#123	—	2	1	no	—
795	#123	—	2	1	no	—
796	#123	—	2	1	no	—
797	#123	—	2	1	no	—
798	#123	—	2	1	no	—
799	#123	—	2	1	no	—
800	#123	—	2	1	no	—
801	#123	—	2	1	no	—
802	#123	—	2	1	no	—
803	#123	—	2	1	no	—
804	#123	—	2	1	no	—
805	C₂²⋊Q₈	—	2	1	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	1	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	—	2	1	no	—
810	C₂²⋊Q₈	—	2	1	no	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	1	no	—
815	C₂²⋊Q₈	—	2	1	no	—
816	C₂²⋊Q₈	—	2	1	no	—
817	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
818	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
819	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
820	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
821	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
822	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
823	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
824	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	1	no	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	C₂²×C₄	1	1	yes	characteristic
838	#121	C₂²×C₄	1	1	yes	characteristic
839	#121	C₂²×C₄	1	1	yes	characteristic
840	#121	C₂²×C₄	1	1	yes	characteristic
841	#121	C₂²×C₄	1	1	yes	characteristic
842	#121	C₂²×C₄	1	1	yes	characteristic
843	#121	C₂²×C₄	1	1	yes	characteristic
844	#121	C₂²×C₄	1	1	yes	characteristic
845	#120	—	2	1	no	—
846	#120	—	2	1	no	—
847	#120	—	2	1	no	—
848	#120	—	2	1	no	—
849	C₄×Q₈	—	2	1	no	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	—	2	1	no	—
853	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
854	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
855	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
856	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
857	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
858	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
859	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
860	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
882	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
883	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
884	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
885	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
886	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
887	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
888	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	C₂²×C₄	1	1	yes	characteristic
894	#117	C₂²×C₄	1	1	yes	characteristic
895	#117	C₂²×C₄	1	1	yes	characteristic
896	#117	C₂²×C₄	1	1	yes	characteristic
897	#117	C₂×D₄	1	1	yes	characteristic
898	#117	C₂×D₄	1	1	yes	characteristic
899	#117	C₂×D₄	1	1	yes	characteristic
900	#117	C₂×D₄	1	1	yes	characteristic
901	#117	C₂⁴	1	1	yes	characteristic
902	#117	C₂⁴	1	1	yes	characteristic
903	#117	C₂⁴	1	1	yes	characteristic
904	#117	C₂⁴	1	1	yes	characteristic
905	C₂×C₄⋊C₄	—	2	1	no	—
906	C₂×C₄⋊C₄	—	2	1	no	—
907	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
908	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	—	2	1	no	—
910	C₂×C₂²⋊C₄	—	2	1	no	—
911	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
913	C₂×C₄²	—	2	1	no	—
914	C₂×C₄²	—	2	1	no	—
915	C₂×C₄²	—	2	1	no	—
916	C₂×C₄²	—	2	1	no	—
917	C₂×C₄²	—	2	1	no	—
918	C₂×C₄²	—	2	1	no	—
919	C₂×C₄²	C₂⁴	1	1	yes	characteristic
920	C₂×C₄²	C₂⁴	1	1	yes	characteristic
921	C₂×C₄²	C₂⁴	1	1	yes	characteristic
922	C₂×C₄²	C₂⁴	1	1	yes	characteristic
923	C₂×C₄²	C₂⁴	1	1	yes	characteristic
924	C₂×C₄²	C₂⁴	1	1	yes	characteristic
925	#108	—	2	2	no	—
926	#108	—	2	2	no	—
927	#108	—	2	2	no	—
928	#108	—	2	2	no	—
929	#108	—	4	1	no	—
930	#108	—	4	1	no	—
931	#108	—	4	1	no	—
932	#108	—	4	1	no	—
933	#107	C₂²×C₄	1	1	yes	characteristic
934	#107	C₂²×C₄	1	1	yes	characteristic
935	#107	C₂²×C₄	1	1	yes	characteristic
936	#107	C₂²×C₄	1	1	yes	characteristic
937	#107	C₂²×C₄	1	1	yes	characteristic
938	#107	C₂²×C₄	1	1	yes	characteristic
939	#107	C₂²×C₄	1	1	yes	characteristic
940	#107	C₂²×C₄	1	1	yes	characteristic
941	#106	C₂²×C₄	1	1	yes	characteristic
942	#106	C₂²×C₄	1	1	yes	characteristic
943	#106	C₂²×C₄	1	1	yes	characteristic
944	#106	C₂²×C₄	1	1	yes	characteristic
945	#106	C₂²×C₄	1	1	yes	characteristic
946	#106	C₂²×C₄	1	1	yes	characteristic
947	#106	C₂²×C₄	1	1	yes	characteristic
948	#106	C₂²×C₄	1	1	yes	characteristic
949	C₄⋊C₈	—	2	1	no	—
950	C₄⋊C₈	—	2	1	no	—
951	C₄⋊C₈	—	2	1	no	—
952	C₄⋊C₈	—	2	1	no	—
953	C₄⋊C₈	—	2	1	no	—
954	C₄⋊C₈	—	2	1	no	—
955	C₄⋊C₈	—	2	1	no	—
956	C₄⋊C₈	—	2	1	no	—
957	C₄⋊C₈	—	2	1	no	—
958	C₄⋊C₈	—	2	1	no	—
959	C₄⋊C₈	—	2	1	no	—
960	C₄⋊C₈	—	2	1	no	—
961	C₄⋊C₈	—	2	1	no	—
962	C₄⋊C₈	—	2	1	no	—
963	C₄⋊C₈	—	2	1	no	—
964	C₄⋊C₈	—	2	1	no	—
965	C₄⋊C₈	—	2	1	no	—
966	C₄⋊C₈	—	2	1	no	—
967	C₄⋊C₈	—	2	1	no	—
968	C₄⋊C₈	—	2	1	no	—
969	C₄⋊C₈	—	2	1	no	—
970	C₄⋊C₈	—	2	1	no	—
971	C₄⋊C₈	—	2	1	no	—
972	C₄⋊C₈	—	2	1	no	—
973	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
974	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
975	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
976	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
977	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
978	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
979	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
980	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
981	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
982	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
983	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
984	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
985	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
986	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
987	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
988	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
989	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
990	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
991	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
992	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
993	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
994	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
995	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
996	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
997	#104	—	2	2	no	—
998	#104	—	2	2	no	—
999	#104	—	2	2	no	—
1000	#104	—	2	2	no	—
1001	#104	—	4	1	no	—
1002	#104	—	4	1	no	—
1003	#104	—	4	1	no	—
1004	#104	—	4	1	no	—
1005	#104	—	4	1	no	—
1006	#104	—	4	1	no	—
1007	#104	—	4	1	no	—
1008	#104	—	4	1	no	—
1009	#104	—	4	1	no	—
1010	#104	—	4	1	no	—
1011	#104	—	4	1	no	—
1012	#104	—	4	1	no	—
1013	#103	C₂²×C₄	1	1	yes	characteristic
1014	#103	C₂²×C₄	1	1	yes	characteristic
1015	#103	C₂²×C₄	1	1	yes	characteristic
1016	#103	C₂²×C₄	1	1	yes	characteristic
1017	#103	C₂²×C₄	1	1	yes	characteristic
1018	#103	C₂²×C₄	1	1	yes	characteristic
1019	#103	C₂²×C₄	1	1	yes	characteristic
1020	#103	C₂²×C₄	1	1	yes	characteristic
1021	#103	C₂²×C₄	1	1	yes	characteristic
1022	#103	C₂²×C₄	1	1	yes	characteristic
1023	#103	C₂²×C₄	1	1	yes	characteristic
1024	#103	C₂²×C₄	1	1	yes	characteristic
1025	#103	C₂²×C₄	1	1	yes	characteristic
1026	#103	C₂²×C₄	1	1	yes	characteristic
1027	#103	C₂²×C₄	1	1	yes	characteristic
1028	#103	C₂²×C₄	1	1	yes	characteristic
1029	#102	C₂²×C₄	1	1	yes	characteristic
1030	#102	C₂²×C₄	1	1	yes	characteristic
1031	#102	C₂²×C₄	1	1	yes	characteristic
1032	#102	C₂²×C₄	1	1	yes	characteristic
1033	#102	C₂²×C₄	1	1	yes	characteristic
1034	#102	C₂²×C₄	1	1	yes	characteristic
1035	#102	C₂²×C₄	1	1	yes	characteristic
1036	#102	C₂²×C₄	1	1	yes	characteristic
1037	#102	C₂²×C₄	1	1	yes	characteristic
1038	#102	C₂²×C₄	1	1	yes	characteristic
1039	#102	C₂²×C₄	1	1	yes	characteristic
1040	#102	C₂²×C₄	1	1	yes	characteristic
1041	#102	C₂²×C₄	1	1	yes	characteristic
1042	#102	C₂²×C₄	1	1	yes	characteristic
1043	#102	C₂²×C₄	1	1	yes	characteristic
1044	#102	C₂²×C₄	1	1	yes	characteristic
1045	C₂²⋊C₈	—	2	1	no	—
1046	C₂²⋊C₈	—	2	1	no	—
1047	C₂²⋊C₈	—	2	1	no	—
1048	C₂²⋊C₈	—	2	1	no	—
1049	C₂²⋊C₈	—	2	1	no	—
1050	C₂²⋊C₈	—	2	1	no	—
1051	C₂²⋊C₈	—	2	1	no	—
1052	C₂²⋊C₈	—	2	1	no	—
1053	C₂²⋊C₈	—	2	1	no	—
1054	C₂²⋊C₈	—	2	1	no	—
1055	C₂²⋊C₈	—	2	1	no	—
1056	C₂²⋊C₈	—	2	1	no	—
1057	C₂²⋊C₈	—	2	1	no	—
1058	C₂²⋊C₈	—	2	1	no	—
1059	C₂²⋊C₈	—	2	1	no	—
1060	C₂²⋊C₈	—	2	1	no	—
1061	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1062	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1063	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1064	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1065	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1066	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1067	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1068	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1069	#97	—	2	1	no	—
1070	#97	—	2	1	no	—
1071	#97	—	2	1	no	—
1072	#97	—	2	1	no	—
1073	#97	—	2	1	no	—
1074	#97	—	2	1	no	—
1075	#97	—	2	1	no	—
1076	#97	—	2	1	no	—
1077	#97	—	2	1	no	—
1078	#97	—	2	1	no	—
1079	#97	—	2	1	no	—
1080	#97	—	2	1	no	—
1081	#97	—	4	1	no	—
1082	#97	—	4	1	no	—
1083	#97	—	4	1	no	—
1084	#97	—	4	1	no	—
1085	#97	C₂×D₄	1	1	yes	characteristic
1086	#97	C₂×D₄	1	1	yes	characteristic
1087	#97	C₂×D₄	1	1	yes	characteristic
1088	#97	C₂×D₄	1	1	yes	characteristic
1089	C₄×C₈	—	2	1	no	—
1090	C₄×C₈	—	2	1	no	—
1091	C₄×C₈	—	2	1	no	—
1092	C₄×C₈	—	2	1	no	—
1093	C₄×C₈	—	2	1	no	—
1094	C₄×C₈	—	2	1	no	—
1095	C₄×C₈	—	2	1	no	—
1096	C₄×C₈	—	2	1	no	—
1097	C₄×C₈	—	2	1	no	—
1098	C₄×C₈	—	2	1	no	—
1099	C₄×C₈	—	2	1	no	—
1100	C₄×C₈	—	2	1	no	—
1101	C₄×C₈	—	4	1	no	—
1102	C₄×C₈	—	4	1	no	—
1103	C₄×C₈	—	4	1	no	—
1104	C₄×C₈	—	4	1	no	—
1105	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1106	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1107	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1108	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1109	#95	—	2	1	no	—
1110	#95	—	2	1	no	—
1111	#95	—	2	1	no	—
1112	#95	—	2	1	no	—
1113	#95	—	2	1	no	—
1114	#95	—	2	1	no	—
1115	C₂⁴	C₂×#41	1	1	yes	characteristic
1116	#41	—	2	1	no	—
1117	#41	—	2	1	no	—
1118	#41	—	2	1	no	—
1119	#41	—	2	1	no	—
1120	#41	—	2	1	no	—
1121	#41	—	2	1	no	—
1122	#41	—	2	1	no	—
1123	#41	—	2	1	no	—
1124	#41	—	2	1	no	—
1125	#41	—	2	1	no	—
1126	#41	—	2	1	no	—
1127	#41	—	2	1	no	—
1128	#41	—	2	1	no	—
1129	#41	—	2	1	no	—
1130	#41	—	2	1	no	—
1131	#41	—	2	1	no	—
1132	C₂×Q₈	—	2	1	no	—
1133	C₂×Q₈	—	2	1	no	—
1134	C₂×Q₈	—	2	1	no	—
1135	C₂×Q₈	—	2	1	no	—
1136	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1137	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1138	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1139	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1150	C₂×D₄	—	2	1	no	—
1151	C₂×D₄	—	2	1	no	—
1152	C₂×D₄	—	2	1	no	—
1153	C₂×D₄	—	2	1	no	—
1154	C₂×D₄	—	2	1	no	—
1155	C₂×D₄	—	2	1	no	—
1156	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1157	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1158	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1159	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
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	C₂³×C₄	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1182	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1183	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1184	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1185	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1186	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1187	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1188	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1190	Q₁₆	—	4	1	no	—
1191	Q₁₆	—	4	1	no	—
1192	Q₁₆	—	4	1	no	—
1193	Q₁₆	—	4	1	no	—
1194	SD₁₆	—	4	1	no	—
1195	SD₁₆	—	4	1	no	—
1196	SD₁₆	—	4	1	no	—
1197	SD₁₆	—	4	1	no	—
1198	SD₁₆	—	4	1	no	—
1199	SD₁₆	—	4	1	no	—
1200	SD₁₆	—	4	1	no	—
1201	SD₁₆	—	4	1	no	—
1202	D₈	—	4	1	no	—
1203	D₈	—	4	1	no	—
1204	D₈	—	4	1	no	—
1205	D₈	—	4	1	no	—
1206	M₁₆	—	2	1	no	—
1207	M₁₆	—	2	1	no	—
1208	M₁₆	—	2	1	no	—
1209	M₁₆	—	2	1	no	—
1210	M₁₆	—	2	1	no	—
1211	M₁₆	—	2	1	no	—
1212	M₁₆	—	2	1	no	—
1213	M₁₆	—	2	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	—	4	1	no	—
1221	M₁₆	—	4	1	no	—
1222	M₁₆	—	4	1	no	—
1223	M₁₆	—	4	1	no	—
1224	M₁₆	—	4	2	no	—
1225	M₁₆	—	4	2	no	—
1226	M₁₆	—	4	2	no	—
1227	M₁₆	—	4	2	no	—
1228	M₁₆	—	4	2	no	—
1229	M₁₆	—	4	2	no	—
1230	M₁₆	—	8	1	no	—
1231	M₁₆	—	8	1	no	—
1232	M₁₆	—	8	1	no	—
1233	M₁₆	—	8	1	no	—
1234	M₁₆	—	8	1	no	—
1235	M₁₆	—	8	1	no	—
1236	M₁₆	H(5,𝔽₂)	1	2	yes	—
1237	M₁₆	2₋¹⁺⁴	1	2	yes	—
1238	C₂×C₈	—	2	1	no	—
1239	C₂×C₈	—	2	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	—	4	1	no	—
1263	C₂×C₈	—	4	1	no	—
1264	C₂×C₈	—	4	1	no	—
1265	C₂×C₈	—	4	1	no	—
1266	C₂×C₈	—	4	2	no	—
1267	C₂×C₈	—	4	2	no	—
1268	C₂×C₈	—	4	2	no	—
1269	C₂×C₈	—	4	2	no	—
1270	C₂×C₈	—	4	2	no	—
1271	C₂×C₈	—	4	2	no	—
1272	C₂×C₈	—	8	1	no	—
1273	C₂×C₈	—	8	1	no	—
1274	C₂×C₈	—	8	1	no	—
1275	C₂×C₈	—	8	1	no	—
1276	C₂×C₈	—	8	1	no	—
1277	C₂×C₈	—	8	1	no	—
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	C₂³×C₄	1	1	yes	characteristic
1283	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1284	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1285	C₂×C₈	C₂³×C₄	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	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1291	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1292	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1293	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1317	C₄⋊C₄	—	2	1	no	—
1318	C₄⋊C₄	—	2	1	no	—
1319	C₄⋊C₄	—	2	1	no	—
1320	C₄⋊C₄	—	2	1	no	—
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	4	2	no	—
1327	C₄⋊C₄	—	8	1	no	—
1328	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1329	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1330	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1331	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1332	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1333	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1334	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1335	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1336	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1337	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1338	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1339	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1340	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1341	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1342	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1343	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1365	C₂²⋊C₄	—	2	1	no	—
1366	C₂²⋊C₄	—	2	1	no	—
1367	C₂²⋊C₄	—	2	1	no	—
1368	C₂²⋊C₄	—	2	1	no	—
1369	C₂²⋊C₄	—	2	1	no	—
1370	C₂²⋊C₄	—	2	1	no	—
1371	C₂²⋊C₄	—	2	1	no	—
1372	C₂²⋊C₄	—	2	1	no	—
1373	C₂²⋊C₄	—	2	1	no	—
1374	C₂²⋊C₄	—	2	1	no	—
1375	C₂²⋊C₄	—	2	1	no	—
1376	C₂²⋊C₄	—	2	1	no	—
1377	C₂²⋊C₄	—	2	1	no	—
1378	C₂²⋊C₄	—	2	1	no	—
1379	C₂²⋊C₄	—	2	1	no	—
1380	C₂²⋊C₄	—	4	2	no	—
1381	C₂²⋊C₄	—	8	1	no	—
1382	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1383	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1384	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1385	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1386	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1387	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1388	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1389	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1401	C₄²	—	2	1	no	—
1402	C₄²	—	2	1	no	—
1403	C₄²	—	2	1	no	—
1404	C₄²	—	2	1	no	—
1405	C₄²	—	2	1	no	—
1406	C₄²	—	2	1	no	—
1407	C₄²	—	2	1	no	—
1408	C₄²	—	2	1	no	—
1409	C₄²	—	2	1	no	—
1410	C₄²	—	4	2	no	—
1411	C₄²	—	8	1	no	—
1412	C₄²	C₂³×C₄	1	1	yes	characteristic
1413	C₄²	C₂³×C₄	1	1	yes	characteristic
1414	C₄²	C₂³×C₄	1	1	yes	characteristic
1415	C₄²	C₂³×C₄	1	1	yes	characteristic
1416	C₄²	C₂²×D₄	1	1	yes	characteristic
1417	C₄²	C₂²×D₄	1	1	yes	characteristic
1418	C₄²	C₂²×D₄	1	1	yes	characteristic
1419	C₄²	C₂²×D₄	1	1	yes	characteristic
1420	C₂³	—	2	1	no	—
1421	C₂³	—	2	1	no	—
1422	C₂³	—	2	1	no	—
1423	C₂³	—	2	1	no	—
1424	C₂³	—	2	1	no	—
1425	C₂³	—	2	1	no	—
1426	C₂³	—	4	1	no	—
1427	C₂³	—	4	1	no	—
1428	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1429	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1430	C₂³	C₂²×#41	1	1	yes	characteristic
1431	Q₈	—	2	1	no	—
1432	Q₈	—	2	1	no	—
1433	Q₈	—	2	1	no	—
1434	Q₈	—	2	1	no	—
1435	Q₈	—	2	1	no	—
1436	Q₈	—	2	1	no	—
1437	Q₈	—	2	1	no	—
1438	Q₈	—	2	1	no	—
1439	Q₈	—	8	1	no	—
1440	Q₈	—	8	1	no	—
1441	Q₈	—	8	1	no	—
1442	Q₈	—	8	1	no	—
1443	D₄	—	2	1	no	—
1444	D₄	—	2	1	no	—
1445	D₄	—	2	1	no	—
1446	D₄	—	2	1	no	—
1447	D₄	—	2	1	no	—
1448	D₄	—	2	1	no	—
1449	D₄	—	2	1	no	—
1450	D₄	—	2	1	no	—
1451	D₄	—	4	1	no	—
1452	D₄	—	4	1	no	—
1453	D₄	—	4	1	no	—
1454	D₄	—	4	1	no	—
1455	D₄	—	4	1	no	—
1456	D₄	—	4	1	no	—
1457	D₄	—	4	1	no	—
1458	D₄	—	4	1	no	—
1459	D₄	—	8	1	no	—
1460	D₄	—	8	1	no	—
1461	D₄	—	8	1	no	—
1462	D₄	—	8	1	no	—
1463	D₄	—	8	1	no	—
1464	D₄	—	8	1	no	—
1465	D₄	—	8	1	no	—
1466	D₄	—	8	1	no	—
1467	D₄	—	8	1	no	—
1468	D₄	—	8	1	no	—
1469	D₄	—	8	1	no	—
1470	D₄	—	8	1	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	2	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	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	—	4	1	no	—
1510	C₂×C₄	—	4	1	no	—
1511	C₂×C₄	—	4	1	no	—
1512	C₂×C₄	—	4	1	no	—
1513	C₂×C₄	—	4	1	no	—
1514	C₂×C₄	—	4	1	no	—
1515	C₂×C₄	—	4	1	no	—
1516	C₂×C₄	—	4	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	—	8	1	no	—
1524	C₂×C₄	—	8	1	no	—
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	C₂×C₄×D₄	1	1	yes	characteristic
1534	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1535	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1536	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1537	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1538	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1539	C₂×C₄	#585	1	1	yes	characteristic
1540	C₂×C₄	#585	1	1	yes	characteristic
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	2	no	—
1554	C₈	—	2	1	no	—
1555	C₈	—	2	1	no	—
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	2	no	—
1559	C₈	—	4	1	no	—
1560	C₈	—	4	1	no	—
1561	C₈	—	4	1	no	—
1562	C₈	—	4	1	no	—
1563	C₈	—	4	1	no	—
1564	C₈	—	4	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	—	2	1	no	—
1572	C₂²	—	2	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	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	8	1	no	—
1586	C₂²	—	8	1	no	—
1587	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1588	C₂²	#3511	1	1	yes	characteristic
1589	C₂²	#3512	1	1	yes	characteristic
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	—	2	1	no	—
1600	C₄	—	4	2	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	—	4	1	no	—
1613	C₄	—	8	1	no	—
1614	C₄	—	8	1	no	—
1615	C₄	—	8	1	no	—
1616	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1617	C₄	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1618	C₄	#3488	1	1	yes	characteristic
1619	C₄	#3489	1	1	yes	characteristic
1620	C₂	—	2	1	no	—
1621	C₂	—	2	1	no	—
1622	C₂	—	4	1	no	—
1623	C₂	—	4	1	no	—
1624	C₂	—	8	1	no	—
1625	C₂	—	8	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	8	1	no	—
1628	C₂	#34267	1	1	yes	characteristic
1629	C₂	#60183	1	1	yes	characteristic
1630	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	#60915	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#433 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60270	C₂	semidirect
3. #60212	C₂	semidirect
4. #23148	C₂	semidirect
5. #23148	C₂	semidirect
6. #23147	C₂	semidirect
7. #23146	C₂	semidirect
8. #23115	C₂	semidirect
9. #23113	C₂	semidirect
10. #23082	C₂	semidirect
11. #23080	C₂	semidirect
12. #23021	C₂	semidirect
13. #23021	C₂	semidirect
14. #23019	C₂	semidirect
15. #23018	C₂	semidirect
16. #23017	C₂	semidirect
17. #23016	C₂	semidirect
18. #22984	C₂	semidirect
19. #22983	C₂	semidirect
20. #22167	C₂	semidirect
21. #22165	C₂	semidirect
22. #22132	C₂	semidirect
23. #22131	C₂	semidirect
24. #21858	C₂	semidirect
25. #21629	C₂	semidirect
26. #21627	C₂	semidirect
27. #21519	C₂	semidirect
28. #21518	C₂	semidirect
29. #21384	C₂	semidirect
30. #21178	C₂	semidirect
31. #20553	C₂	semidirect
34. #3263	C₄	semidirect
35. #3263	C₄	semidirect
36. #3262	C₄	semidirect
37. #3262	C₄	semidirect
38. #3261	C₄	semidirect
39. #3260	C₄	semidirect
40. #3260	C₄	semidirect
41. #3259	C₄	semidirect
42. #3258	C₄	semidirect
43. #3258	C₄	semidirect
44. #3258	C₄	semidirect
45. #3258	C₄	semidirect
46. #3257	C₄	semidirect
47. #3257	C₄	semidirect
48. #3257	C₄	semidirect
49. #3257	C₄	semidirect

Maximal subgroups

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

subgroup	index
#60915	2
#60270	2
#60212	2
#23148	2
#23147	2
#23146	2
#23115	2
#23113	2
#23082	2
#23080	2
#23021	2
#23019	2
#23018	2
#23017	2
#23016	2
#22984	2
#22983	2
#22167	2
#22165	2
#22132	2
#22131	2
#21858	2
#21629	2
#21627	2
#21519	2
#21518	2
#21384	2
#21178	2
#20553	2