Subgroups — #6346195

Order 512.

1571 conjugacy classes of subgroups.

The subgroup lattice has 1515 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61445	C₂	1	1	yes	maximal, characteristic
2	#60335	C₂	1	1	yes	maximal, characteristic, complemented
3	#60324	C₂	1	1	yes	maximal, characteristic, complemented
4	#18088	C₂	1	1	yes	maximal, characteristic, complemented
5	#18079	C₂	1	1	yes	maximal, characteristic, complemented
6	#18078	C₂	1	1	yes	maximal, characteristic, complemented
7	#18056	C₂	1	1	yes	maximal, characteristic, complemented
8	#18049	C₂	1	1	yes	maximal, characteristic, complemented
9	#18048	C₂	1	1	yes	maximal, characteristic, complemented
10	#18023	C₂	1	1	yes	maximal, characteristic, complemented
11	#18020	C₂	1	1	yes	maximal, characteristic, complemented
12	#17999	C₂	1	1	yes	maximal, characteristic, complemented
13	#17999	C₂	1	1	yes	maximal, characteristic, complemented
14	#17997	C₂	1	1	yes	maximal, characteristic, complemented
15	#17995	C₂	1	1	yes	maximal, characteristic, complemented
16	#17988	C₂	1	1	yes	maximal, characteristic, complemented
17	#17987	C₂	1	1	yes	maximal, characteristic, complemented
18	#17978	C₂	1	1	yes	maximal, characteristic, complemented
19	#17955	C₂	1	1	yes	maximal, characteristic, complemented
20	#17952	C₂	1	1	yes	maximal, characteristic, complemented
21	#17942	C₂	1	1	yes	maximal, characteristic, complemented
22	#17927	C₂	1	1	yes	maximal, characteristic, complemented
23	#17923	C₂	1	1	yes	maximal, characteristic, complemented
24	#17911	C₂	1	1	yes	maximal, characteristic, complemented
25	#17875	C₂	1	1	yes	maximal, characteristic, complemented
26	#17874	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#1583	C₂	1	1	yes	maximal, characteristic, complemented
28	#17838	C₂	1	1	yes	maximal, characteristic, complemented
29	#17519	C₂	1	1	yes	maximal, characteristic, complemented
30	#17517	C₂	1	1	yes	maximal, characteristic, complemented
31	#17337	C₂	1	1	yes	maximal, characteristic, complemented
32	#3482	C₂²	1	1	yes	characteristic
33	#3481	C₂²	1	1	yes	characteristic
34	#3401	C₄	1	1	yes	characteristic
35	#3388	C₄	1	1	yes	characteristic
36	#3376	C₄	1	1	yes	characteristic
37	#3371	C₄	1	1	yes	characteristic
38	#3351	C₄	1	1	yes	characteristic
39	#3345	C₄	1	1	yes	characteristic
40	#3344	C₄	1	1	yes	characteristic
41	#3326	C₄	1	1	yes	characteristic
42	#3323	C₄	1	1	yes	characteristic
43	#3320	C₄	1	1	yes	characteristic
44	#3316	C₄	1	1	yes	characteristic
45	#3310	C₄	1	1	yes	characteristic
46	#3306	C₄	1	1	yes	characteristic
47	#3275	C₄	1	1	yes	characteristic
48	#3266	C₄	1	1	yes	characteristic
49	#3265	C₄	1	1	yes	characteristic
50	#3172	C₂²	1	1	yes	characteristic
51	#3171	C₂²	1	1	yes	characteristic
52	#3168	C₂²	1	1	yes	characteristic
53	#3108	C₂²	1	1	yes	characteristic
54	#3105	C₂²	1	1	yes	characteristic
55	#3103	C₂²	1	1	yes	characteristic
56	#3102	C₂²	1	1	yes	characteristic
57	#3102	C₂²	1	1	yes	characteristic
58	#3101	C₂²	1	1	yes	characteristic
59	#2995	—	2	1	no	—
60	#2994	—	2	1	no	—
61	#2994	C₂²	1	1	yes	characteristic
62	#2994	C₂²	1	1	yes	characteristic, complemented
63	#2993	—	2	1	no	—
64	#2993	C₂²	1	1	yes	characteristic
65	#2993	C₂²	1	1	yes	characteristic, complemented
66	#2990	—	2	1	no	—
67	#2990	C₂²	1	1	yes	characteristic
68	#2990	C₂²	1	1	yes	characteristic
69	#2989	C₂²	1	1	yes	characteristic
70	#2988	C₂²	1	1	yes	characteristic, complemented
71	#2985	—	2	1	no	—
72	#2985	C₂²	1	1	yes	characteristic, complemented
73	#2984	C₂²	1	1	yes	characteristic, complemented
74	#2982	C₂²	1	1	yes	characteristic, complemented
75	#2981	C₂²	1	1	yes	characteristic
76	#2978	—	2	1	no	—
77	#2976	—	2	1	no	—
78	#2975	C₂²	1	1	yes	characteristic
79	#2974	C₂²	1	1	yes	characteristic
80	#2973	—	2	1	no	—
81	#2971	C₂²	1	1	yes	characteristic
82	#2971	C₂²	1	1	yes	characteristic, complemented
83	#2969	—	2	1	no	—
84	#2969	C₂²	1	1	yes	characteristic
85	#2969	C₂²	1	1	yes	characteristic, complemented
86	#2967	—	2	1	no	—
87	#2966	—	2	1	no	—
88	#2966	C₂²	1	1	yes	characteristic
89	#2966	C₂²	1	1	yes	characteristic, complemented
90	#2965	—	2	1	no	—
91	#2965	C₂²	1	1	yes	characteristic
92	#2965	C₂²	1	1	yes	characteristic
93	Q₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
94	#2962	—	2	1	no	—
95	#2962	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
97	C₄×#137	C₂²	1	1	yes	characteristic
98	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
99	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
100	#2935	C₂²	1	1	yes	characteristic
101	D₄×M₁₆	—	2	1	no	—
102	D₄×M₁₆	C₂²	1	1	yes	characteristic
103	#2933	—	2	1	no	—
104	#2930	—	2	1	no	—
105	C₂×#436	C₂²	1	1	yes	characteristic
106	C₄×#131	C₂²	1	1	yes	characteristic
107	#1594	C₂²	1	1	yes	characteristic
108	#1593	C₂²	1	1	yes	characteristic, complemented
109	#1592	C₂²	1	1	yes	characteristic
110	#1592	C₂²	1	1	yes	characteristic, complemented
111	#1590	C₂²	1	1	yes	characteristic
112	#1590	C₂²	1	1	yes	characteristic
113	#1590	C₂²	1	1	yes	characteristic
114	#1590	C₂²	1	1	yes	characteristic, complemented
115	#1590	C₂²	1	1	yes	characteristic, complemented
116	#1590	C₂²	1	1	yes	characteristic, complemented
117	#1589	C₂²	1	1	yes	characteristic
118	#1589	C₂²	1	1	yes	characteristic, complemented
119	#1588	C₂²	1	1	yes	characteristic
120	#1588	C₂²	1	1	yes	characteristic
121	#1588	C₂²	1	1	yes	characteristic
122	#1588	C₂²	1	1	yes	characteristic, complemented
123	#1588	C₂²	1	1	yes	characteristic, complemented
124	#1588	C₂²	1	1	yes	characteristic, complemented
125	#1587	C₂²	1	1	yes	characteristic, complemented
126	#1587	C₂²	1	1	yes	characteristic, complemented
127	#1587	C₂²	1	1	yes	characteristic, complemented
128	#1587	C₂²	1	1	yes	characteristic, complemented
129	#1586	C₂²	1	1	yes	characteristic
130	#1586	C₂²	1	1	yes	characteristic, complemented
131	#1586	C₂²	1	1	yes	characteristic, complemented
132	#1586	C₂²	1	1	yes	characteristic, complemented
133	#1585	C₂²	1	1	yes	characteristic, complemented
134	#1585	C₂²	1	1	yes	characteristic, complemented
135	#1584	C₂²	1	1	yes	characteristic, complemented
136	#1584	C₂²	1	1	yes	characteristic, complemented
137	#1584	C₂²	1	1	yes	characteristic, complemented
138	#1584	C₂²	1	1	yes	characteristic, complemented
139	#1583	C₂²	1	1	yes	characteristic
140	#1583	C₂²	1	1	yes	characteristic
141	#1583	C₂²	1	1	yes	characteristic
142	#1583	C₂²	1	1	yes	characteristic
143	#1583	C₂²	1	1	yes	characteristic
144	#1583	C₂²	1	1	yes	characteristic, complemented
145	#1583	C₂²	1	1	yes	characteristic, complemented
146	#1583	C₂²	1	1	yes	characteristic, complemented
147	#1583	C₂²	1	1	yes	characteristic, complemented
148	#1583	C₂²	1	1	yes	characteristic, complemented
149	#1583	C₂²	1	1	yes	characteristic, complemented
150	#1583	C₂²	1	1	yes	characteristic, complemented
151	#1582	C₂²	1	1	yes	characteristic, complemented
152	#1582	C₂²	1	1	yes	characteristic, complemented
153	#1582	C₂²	1	1	yes	characteristic, complemented
154	#1582	C₂²	1	1	yes	characteristic, complemented
155	#1581	C₂²	1	1	yes	characteristic
156	#1581	C₂²	1	1	yes	characteristic, complemented
157	#1581	C₂²	1	1	yes	characteristic, complemented
158	#1581	C₂²	1	1	yes	characteristic, complemented
159	#1580	C₂²	1	1	yes	characteristic, complemented
160	#1579	C₂²	1	1	yes	characteristic, complemented
161	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
162	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
163	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
165	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
166	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
167	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
168	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
169	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
170	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
171	#1573	C₂²	1	1	yes	characteristic, complemented
172	#1573	C₂²	1	1	yes	characteristic, complemented
173	#1572	C₂²	1	1	yes	characteristic, complemented
174	#1572	C₂²	1	1	yes	characteristic, complemented
175	#1570	C₂²	1	1	yes	characteristic, complemented
176	#1570	C₂²	1	1	yes	characteristic, complemented
177	#1569	C₂²	1	1	yes	characteristic, complemented
178	#1569	C₂²	1	1	yes	characteristic, complemented
179	#1568	C₂²	1	1	yes	characteristic, complemented
180	#1565	C₂²	1	1	yes	characteristic, complemented
181	#1565	C₂²	1	1	yes	characteristic, complemented
182	C₂×#334	C₂²	1	1	yes	characteristic, complemented
183	#1494	C₂²	1	1	yes	characteristic
184	#1494	C₂²	1	1	yes	characteristic
185	#1494	C₂²	1	1	yes	characteristic, complemented
186	#1494	C₂²	1	1	yes	characteristic, complemented
187	#1493	C₂²	1	1	yes	characteristic, complemented
188	#1492	C₂²	1	1	yes	characteristic
189	#1491	C₂²	1	1	yes	characteristic, complemented
190	#1491	C₂²	1	1	yes	characteristic, complemented
191	#1490	C₂²	1	1	yes	characteristic
192	#1490	C₂²	1	1	yes	characteristic
193	#1489	C₂²	1	1	yes	characteristic
194	#1489	C₂²	1	1	yes	characteristic, complemented
195	#1485	C₂²	1	1	yes	characteristic, complemented
196	#1484	C₂²	1	1	yes	characteristic
197	#1483	C₂²	1	1	yes	characteristic
198	#1483	C₂²	1	1	yes	characteristic
199	#1483	C₂²	1	1	yes	characteristic, complemented
200	#1483	C₂²	1	1	yes	characteristic, complemented
201	#1476	C₂²	1	1	yes	characteristic
202	#1476	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
204	C₂×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
205	C₂×D₄⋊C₈	C₂²	1	1	yes	characteristic
206	C₂×D₄⋊C₈	C₂²	1	1	yes	characteristic
207	#1455	C₂²	1	1	yes	characteristic, complemented
208	#1455	C₂²	1	1	yes	characteristic, complemented
209	#1453	C₂²	1	1	yes	characteristic, complemented
210	#1453	C₂²	1	1	yes	characteristic, complemented
211	#1452	C₂²	1	1	yes	characteristic, complemented
212	#1451	C₂²	1	1	yes	characteristic, complemented
213	#1451	C₂²	1	1	yes	characteristic, complemented
214	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
215	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
216	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
217	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
218	C₂×#322	C₂²	1	1	yes	characteristic, complemented
219	C₂×#137	C₂×C₄	1	1	yes	characteristic
220	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
221	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic
222	C₂×#131	—	2	1	no	—
223	C₂×#131	—	2	1	no	—
224	C₂²×M₁₆	—	2	1	no	—
225	C₂²×M₁₆	—	2	1	no	—
226	#559	C₂×C₄	1	1	yes	characteristic
227	#557	C₂×C₄	1	1	yes	characteristic
228	#556	—	2	1	no	—
229	#556	C₂×C₄	1	1	yes	characteristic
230	#554	C₂×C₄	1	1	yes	characteristic
231	#554	C₂×C₄	1	1	yes	characteristic
232	#553	—	2	1	no	—
233	#553	C₂×C₄	1	1	yes	characteristic
234	#553	C₂×C₄	1	1	yes	characteristic
235	#552	—	2	1	no	—
236	#552	—	2	1	no	—
237	#552	C₂×C₄	1	1	yes	characteristic
238	#552	C₂×C₄	1	1	yes	characteristic
239	#551	—	2	1	no	—
240	#551	—	2	1	no	—
241	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
242	#548	C₂×C₄	1	1	yes	characteristic
243	#548	C₂×C₄	1	1	yes	characteristic
244	#547	—	2	1	no	—
245	#547	C₂×C₄	1	1	yes	characteristic
246	#546	—	2	1	no	—
247	#546	C₂×C₄	1	1	yes	characteristic
248	#546	C₂×C₄	1	1	yes	characteristic
249	D₄²	C₂×C₄	1	1	yes	characteristic
250	#533	—	2	1	no	—
251	#533	C₂³	1	1	yes	characteristic
252	#532	C₂³	1	1	yes	characteristic
253	#529	—	2	1	no	—
254	#529	—	2	1	no	—
255	#529	—	2	1	no	—
256	#529	C₂³	1	1	yes	characteristic
257	#529	C₂³	1	1	yes	characteristic
258	#529	C₂³	1	1	yes	characteristic
259	#529	C₂³	1	1	yes	characteristic
260	#525	—	2	1	no	—
261	#525	—	2	1	no	—
262	C₄×#41	—	2	1	no	—
263	C₄×#41	C₂³	1	1	yes	characteristic
264	C₄×#41	C₂³	1	1	yes	characteristic
265	C₄×#41	C₂³	1	1	yes	characteristic
266	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
267	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₄	—	2	1	no	—
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
271	#501	C₂×C₄	1	1	yes	characteristic
272	#501	C₂×C₄	1	1	yes	characteristic
273	#499	C₂×C₄	1	1	yes	characteristic
274	#497	C₂×C₄	1	1	yes	characteristic
275	#496	C₂×C₄	1	1	yes	characteristic
276	#495	C₂×C₄	1	1	yes	characteristic
277	#491	C₂×C₄	1	1	yes	characteristic
278	#490	C₂×C₄	1	1	yes	characteristic
279	#489	C₂×C₄	1	1	yes	characteristic
280	#489	C₂×C₄	1	1	yes	characteristic
281	#488	C₂×C₄	1	1	yes	characteristic
282	#488	C₂×C₄	1	1	yes	characteristic
283	#485	C₂×C₄	1	1	yes	characteristic
284	#485	C₂×C₄	1	1	yes	characteristic
285	#484	C₂×C₄	1	1	yes	characteristic
286	#483	C₂×C₄	1	1	yes	characteristic
287	#483	C₂×C₄	1	1	yes	characteristic
288	#483	C₂×C₄	1	1	yes	characteristic
289	#482	C₂×C₄	1	1	yes	characteristic
290	#482	C₂×C₄	1	1	yes	characteristic
291	#481	C₂×C₄	1	1	yes	characteristic
292	#481	C₂×C₄	1	1	yes	characteristic
293	#481	C₂×C₄	1	1	yes	characteristic
294	#480	C₂×C₄	1	1	yes	characteristic
295	#479	C₂×C₄	1	1	yes	characteristic
296	#479	C₂×C₄	1	1	yes	characteristic
297	#479	C₂×C₄	1	1	yes	characteristic
298	#479	C₂×C₄	1	1	yes	characteristic
299	#478	C₂×C₄	1	1	yes	characteristic
300	#478	C₂×C₄	1	1	yes	characteristic
301	#478	C₂×C₄	1	1	yes	characteristic
302	#478	C₂×C₄	1	1	yes	characteristic
303	#476	C₂×C₄	1	1	yes	characteristic
304	#476	C₂×C₄	1	1	yes	characteristic
305	#475	C₂×C₄	1	1	yes	characteristic
306	#475	C₂×C₄	1	1	yes	characteristic
307	#470	C₂×C₄	1	1	yes	characteristic
308	#470	C₂×C₄	1	1	yes	characteristic
309	#469	C₂×C₄	1	1	yes	characteristic
310	#469	C₂×C₄	1	1	yes	characteristic
311	#468	C₂×C₄	1	1	yes	characteristic
312	#468	C₂×C₄	1	1	yes	characteristic
313	#468	C₂×C₄	1	1	yes	characteristic
314	#468	C₂×C₄	1	1	yes	characteristic
315	#467	C₂×C₄	1	1	yes	characteristic
316	#466	C₂×C₄	1	1	yes	characteristic
317	#465	C₂×C₄	1	1	yes	characteristic
318	#465	C₂×C₄	1	1	yes	characteristic
319	#464	C₂×C₄	1	1	yes	characteristic
320	#464	C₂×C₄	1	1	yes	characteristic
321	#464	C₂×C₄	1	1	yes	characteristic
322	#464	C₂×C₄	1	1	yes	characteristic
323	#463	C₂×C₄	1	1	yes	characteristic
324	#463	C₂×C₄	1	1	yes	characteristic
325	#463	C₂×C₄	1	1	yes	characteristic
326	#463	C₂×C₄	1	1	yes	characteristic
327	#461	C₂×C₄	1	1	yes	characteristic
328	#461	C₂×C₄	1	1	yes	characteristic
329	#460	C₂×C₄	1	1	yes	characteristic
330	#460	C₂×C₄	1	1	yes	characteristic
331	#452	C₂×C₄	1	1	yes	characteristic
332	#452	C₂×C₄	1	1	yes	characteristic
333	#451	C₂×C₄	1	1	yes	characteristic
334	#450	C₂×C₄	1	1	yes	characteristic
335	#450	C₂×C₄	1	1	yes	characteristic
336	#450	C₂×C₄	1	1	yes	characteristic
337	#449	C₂×C₄	1	1	yes	characteristic
338	#449	C₂×C₄	1	1	yes	characteristic
339	#448	C₂×C₄	1	1	yes	characteristic
340	#448	C₂×C₄	1	1	yes	characteristic
341	#448	C₂×C₄	1	1	yes	characteristic
342	#447	C₂×C₄	1	1	yes	characteristic
343	#446	—	2	1	no	—
344	#446	—	2	1	no	—
345	#446	—	2	1	no	—
346	#446	—	2	1	no	—
347	#446	—	2	1	no	—
348	#446	—	2	1	no	—
349	#446	—	2	1	no	—
350	#446	—	2	1	no	—
351	#446	—	2	1	no	—
352	#446	—	2	1	no	—
353	#446	C₂×C₄	1	1	yes	characteristic
354	#446	C₂×C₄	1	1	yes	characteristic
355	#446	D₄	1	1	yes	characteristic
356	#446	D₄	1	1	yes	characteristic
357	#446	C₂³	1	1	yes	characteristic
358	#446	C₂³	1	1	yes	characteristic
359	#446	C₂³	1	1	yes	characteristic
360	#446	C₂³	1	1	yes	characteristic
361	#446	C₂³	1	1	yes	characteristic
362	#446	C₂³	1	1	yes	characteristic
363	C₈×Q₈	—	2	1	no	—
364	C₈×Q₈	—	2	1	no	—
365	C₈×Q₈	—	2	1	no	—
366	C₈×Q₈	—	2	1	no	—
367	C₈×Q₈	C₂³	1	1	yes	characteristic
368	C₈×Q₈	C₂³	1	1	yes	characteristic
369	C₈×Q₈	C₂³	1	1	yes	characteristic
370	C₈×Q₈	C₂³	1	1	yes	characteristic
371	C₈×Q₈	C₂³	1	1	yes	characteristic
372	C₈×Q₈	C₂³	1	1	yes	characteristic
373	C₈×Q₈	C₂³	1	1	yes	characteristic
374	C₈×Q₈	C₂³	1	1	yes	characteristic
375	C₈×Q₈	C₂³	1	1	yes	characteristic
376	C₈×Q₈	C₂³	1	1	yes	characteristic
377	#442	C₂×C₄	1	1	yes	characteristic
378	#442	C₂×C₄	1	1	yes	characteristic
379	#441	C₂×C₄	1	1	yes	characteristic
380	#441	C₂×C₄	1	1	yes	characteristic
381	#440	C₂×C₄	1	1	yes	characteristic
382	#440	C₂×C₄	1	1	yes	characteristic
383	#440	C₂×C₄	1	1	yes	characteristic
384	#440	C₂×C₄	1	1	yes	characteristic
385	C₄×Q₁₆	C₂³	1	1	yes	characteristic
386	C₄×Q₁₆	C₂³	1	1	yes	characteristic
387	C₄×Q₁₆	C₂³	1	1	yes	characteristic
388	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
389	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
390	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
391	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
392	C₄×SD₁₆	C₂³	1	1	yes	characteristic
393	C₄×SD₁₆	C₂³	1	1	yes	characteristic
394	C₄×SD₁₆	C₂³	1	1	yes	characteristic
395	C₄×SD₁₆	C₂³	1	1	yes	characteristic
396	C₄×SD₁₆	C₂³	1	1	yes	characteristic
397	C₄×SD₁₆	C₂³	1	1	yes	characteristic
398	C₄×SD₁₆	C₂³	1	1	yes	characteristic
399	C₄×SD₁₆	C₂³	1	1	yes	characteristic
400	C₄×SD₁₆	C₂³	1	1	yes	characteristic
401	C₄×SD₁₆	C₂³	1	1	yes	characteristic
402	C₄×D₈	C₂³	1	1	yes	characteristic
403	C₄×D₈	C₂³	1	1	yes	characteristic
404	C₄×D₈	C₂³	1	1	yes	characteristic
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	#436	—	2	1	no	—
411	#436	—	2	1	no	—
412	#436	—	2	1	no	—
413	#436	—	2	1	no	—
414	#436	—	2	1	no	—
415	#436	—	2	1	no	—
416	#436	—	2	1	no	—
417	#436	C₂×C₄	1	1	yes	characteristic
418	#436	C₂×C₄	1	1	yes	characteristic
419	#436	D₄	1	1	yes	characteristic
420	#436	D₄	1	1	yes	characteristic
421	#436	C₂³	1	1	yes	characteristic
422	#436	C₂³	1	1	yes	characteristic
423	#436	C₂³	1	1	yes	characteristic
424	#436	C₂³	1	1	yes	characteristic
425	#436	C₂³	1	1	yes	characteristic
426	#436	C₂³	1	1	yes	characteristic
427	#436	C₂³	1	1	yes	characteristic
428	#436	C₂³	1	1	yes	characteristic
429	#436	C₂³	1	1	yes	characteristic
430	#436	C₂³	1	1	yes	characteristic
431	#435	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	#435	—	2	1	no	—
435	#435	—	2	1	no	—
436	#435	—	2	1	no	—
437	#435	—	2	1	no	—
438	#435	—	2	1	no	—
439	#435	—	2	1	no	—
440	#435	—	2	1	no	—
441	#435	—	2	1	no	—
442	#435	—	2	1	no	—
443	#435	—	2	1	no	—
444	#435	—	2	1	no	—
445	#435	—	2	1	no	—
446	#435	—	2	1	no	—
447	#435	—	2	1	no	—
448	#435	—	2	1	no	—
449	#435	—	2	1	no	—
450	#435	—	2	1	no	—
451	#435	—	2	1	no	—
452	#435	—	2	1	no	—
453	#435	C₂×C₄	1	1	yes	characteristic
454	#435	C₂×C₄	1	1	yes	characteristic
455	#435	C₂×C₄	1	1	yes	characteristic
456	#435	C₂×C₄	1	1	yes	characteristic
457	#435	D₄	1	1	yes	characteristic
458	#435	D₄	1	1	yes	characteristic
459	#435	D₄	1	1	yes	characteristic
460	#435	D₄	1	1	yes	characteristic
461	C₈×D₄	—	2	1	no	—
462	C₈×D₄	—	2	1	no	—
463	C₈×D₄	—	2	1	no	—
464	C₈×D₄	—	2	1	no	—
465	C₈×D₄	—	2	1	no	—
466	C₈×D₄	—	2	1	no	—
467	C₈×D₄	—	2	1	no	—
468	C₈×D₄	—	2	1	no	—
469	C₈×D₄	C₂³	1	1	yes	characteristic
470	C₈×D₄	C₂³	1	1	yes	characteristic
471	C₈×D₄	C₂³	1	1	yes	characteristic
472	C₈×D₄	C₂³	1	1	yes	characteristic
473	C₈×D₄	C₂³	1	1	yes	characteristic
474	C₈×D₄	C₂³	1	1	yes	characteristic
475	#433	—	2	1	no	—
476	#433	—	2	1	no	—
477	#433	—	2	1	no	—
478	#433	—	2	1	no	—
479	#433	—	2	1	no	—
480	#433	—	2	1	no	—
481	#433	—	2	1	no	—
482	#433	—	2	1	no	—
483	#433	—	2	1	no	—
484	#433	—	2	1	no	—
485	#432	—	2	1	no	—
486	#432	—	2	1	no	—
487	#432	—	2	1	no	—
488	#432	—	2	1	no	—
489	#432	C₂³	1	1	yes	characteristic
490	#432	C₂³	1	1	yes	characteristic
491	#432	C₂³	1	1	yes	characteristic
492	#432	C₂³	1	1	yes	characteristic
493	#431	—	2	1	no	—
494	#431	—	2	1	no	—
495	#431	—	2	1	no	—
496	#431	—	2	1	no	—
497	#431	C₂³	1	1	yes	characteristic
498	#431	C₂³	1	1	yes	characteristic
499	#431	C₂³	1	1	yes	characteristic
500	#431	C₂³	1	1	yes	characteristic
501	#431	C₂³	1	1	yes	characteristic
502	#431	C₂³	1	1	yes	characteristic
503	#431	C₂³	1	1	yes	characteristic
504	#431	C₂³	1	1	yes	characteristic
505	#428	C₂×C₄	1	1	yes	characteristic
506	#428	C₂×C₄	1	1	yes	characteristic
507	C₂×#106	C₂×C₄	1	1	yes	characteristic
508	#424	—	2	1	no	—
509	#424	—	2	1	no	—
510	#424	—	2	1	no	—
511	#424	—	2	1	no	—
512	#424	—	2	1	no	—
513	#423	—	2	1	no	—
514	#423	—	2	1	no	—
515	#423	C₂³	1	1	yes	characteristic
516	#423	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₈	—	2	1	no	—
518	C₂×C₄⋊C₈	—	2	1	no	—
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×C₄⋊C₈	C₂³	1	1	yes	characteristic
523	#419	C₂×C₄	1	1	yes	characteristic
524	#418	C₂×C₄	1	1	yes	characteristic
525	#417	C₂×C₄	1	1	yes	characteristic
526	#417	C₂×C₄	1	1	yes	characteristic
527	C₂×#103	C₂×C₄	1	1	yes	characteristic
528	C₂×#102	C₂×C₄	1	1	yes	characteristic
529	#408	—	2	1	no	—
530	#408	—	2	1	no	—
531	#408	—	2	1	no	—
532	#407	—	2	1	no	—
533	#407	—	2	1	no	—
534	#407	—	2	1	no	—
535	#407	—	2	1	no	—
536	C₂×C₂²⋊C₈	—	2	1	no	—
537	C₂×C₂²⋊C₈	—	2	1	no	—
538	#405	—	2	1	no	—
539	#405	—	2	1	no	—
540	#405	—	2	1	no	—
541	#405	—	2	1	no	—
542	#405	—	2	1	no	—
543	#405	—	2	1	no	—
544	#405	—	2	1	no	—
545	#405	—	2	1	no	—
546	C₄×M₁₆	—	2	1	no	—
547	C₄×M₁₆	—	2	1	no	—
548	C₄×M₁₆	—	2	1	no	—
549	C₄×M₁₆	C₂³	1	1	yes	characteristic
550	C₄×M₁₆	C₂³	1	1	yes	characteristic
551	C₄×M₁₆	C₂³	1	1	yes	characteristic
552	C₄×M₁₆	C₂³	1	1	yes	characteristic
553	C₄×M₁₆	C₂³	1	1	yes	characteristic
554	C₄×M₁₆	C₂³	1	1	yes	characteristic
555	C₄×M₁₆	C₂³	1	1	yes	characteristic
556	C₂×C₄×C₈	—	2	1	no	—
557	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
558	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
559	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
560	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
561	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
562	#335	C₂³	1	1	yes	characteristic
563	#335	C₂³	1	1	yes	characteristic
564	#335	C₂³	1	1	yes	characteristic
565	#335	C₂³	1	1	yes	characteristic
566	#335	C₂³	1	1	yes	characteristic
567	#335	C₂³	1	1	yes	characteristic
568	#334	C₂³	1	1	yes	characteristic
569	#334	C₂³	1	1	yes	characteristic
570	#334	C₂³	1	1	yes	characteristic
571	#334	C₂³	1	1	yes	characteristic
572	#334	C₂³	1	1	yes	characteristic
573	#334	C₂³	1	1	yes	characteristic
574	#334	C₂³	1	1	yes	characteristic
575	#334	C₂³	1	1	yes	characteristic
576	#334	C₂³	1	1	yes	characteristic
577	#334	C₂³	1	1	yes	characteristic
578	Q₈⋊C₈	C₂³	1	1	yes	characteristic
579	Q₈⋊C₈	C₂³	1	1	yes	characteristic
580	Q₈⋊C₈	C₂³	1	1	yes	characteristic
581	Q₈⋊C₈	C₂³	1	1	yes	characteristic
582	Q₈⋊C₈	C₂³	1	1	yes	characteristic
583	Q₈⋊C₈	C₂³	1	1	yes	characteristic
584	Q₈⋊C₈	C₂³	1	1	yes	characteristic
585	Q₈⋊C₈	C₂³	1	1	yes	characteristic
586	Q₈⋊C₈	C₂³	1	1	yes	characteristic
587	Q₈⋊C₈	C₂³	1	1	yes	characteristic
588	Q₈⋊C₈	C₂³	1	1	yes	characteristic
589	Q₈⋊C₈	C₂³	1	1	yes	characteristic
590	Q₈⋊C₈	C₂³	1	1	yes	characteristic
591	Q₈⋊C₈	C₂³	1	1	yes	characteristic
592	Q₈⋊C₈	C₂³	1	1	yes	characteristic
593	Q₈⋊C₈	C₂³	1	1	yes	characteristic
594	D₄⋊C₈	C₂³	1	1	yes	characteristic
595	D₄⋊C₈	C₂³	1	1	yes	characteristic
596	D₄⋊C₈	C₂³	1	1	yes	characteristic
597	D₄⋊C₈	C₂³	1	1	yes	characteristic
598	D₄⋊C₈	C₂³	1	1	yes	characteristic
599	D₄⋊C₈	C₂³	1	1	yes	characteristic
600	D₄⋊C₈	C₂³	1	1	yes	characteristic
601	D₄⋊C₈	C₂³	1	1	yes	characteristic
602	D₄⋊C₈	C₂³	1	1	yes	characteristic
603	D₄⋊C₈	C₂³	1	1	yes	characteristic
604	D₄⋊C₈	C₂³	1	1	yes	characteristic
605	D₄⋊C₈	C₂³	1	1	yes	characteristic
606	D₄⋊C₈	C₂³	1	1	yes	characteristic
607	D₄⋊C₈	C₂³	1	1	yes	characteristic
608	D₄⋊C₈	C₂³	1	1	yes	characteristic
609	D₄⋊C₈	C₂³	1	1	yes	characteristic
610	#322	C₂³	1	1	yes	characteristic
611	#322	C₂³	1	1	yes	characteristic
612	#322	C₂³	1	1	yes	characteristic
613	#322	C₂³	1	1	yes	characteristic
614	#322	C₂³	1	1	yes	characteristic
615	#322	C₂³	1	1	yes	characteristic
616	#322	C₂³	1	1	yes	characteristic
617	#322	C₂³	1	1	yes	characteristic
618	#322	C₂³	1	1	yes	characteristic
619	#322	C₂³	1	1	yes	characteristic
620	#322	C₂³	1	1	yes	characteristic
621	#322	C₂³	1	1	yes	characteristic
622	C₈²	C₂³	1	1	yes	characteristic
623	C₈²	C₂³	1	1	yes	characteristic
624	C₈²	C₂³	1	1	yes	characteristic
625	C₈²	C₂³	1	1	yes	characteristic
626	C₂×#41	—	2	1	no	—
627	C₂×#41	—	2	1	no	—
628	C₂×#41	C₂²×C₄	1	1	yes	characteristic
629	C₂×#41	C₂²×C₄	1	1	yes	characteristic
630	C₂×#41	#41	1	1	yes	characteristic
631	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
632	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
633	C₂²×D₄	—	2	1	no	—
634	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
635	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
636	C₂³×C₄	—	2	1	no	—
637	C₂³×C₄	—	2	1	no	—
638	#137	—	4	2	no	—
639	AGL(1,ℤ/8)	—	4	2	no	—
640	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
641	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
642	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
643	C₂×SD₁₆	—	4	2	no	—
644	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
645	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
646	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
647	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
648	C₂×SD₁₆	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×D₈	C₂²×C₄	1	1	yes	characteristic
655	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
656	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
657	#131	—	4	4	no	—
658	#131	—	8	2	no	—
659	C₂×M₁₆	—	2	1	no	—
660	C₂×M₁₆	—	2	1	no	—
661	C₂×M₁₆	—	2	1	no	—
662	C₂×M₁₆	—	2	1	no	—
663	C₂×M₁₆	—	2	1	no	—
664	C₂×M₁₆	—	2	1	no	—
665	C₂×M₁₆	—	2	1	no	—
666	C₂×M₁₆	—	2	1	no	—
667	C₂×M₁₆	—	2	1	no	—
668	C₂×M₁₆	—	2	1	no	—
669	C₂×M₁₆	—	2	1	no	—
670	C₂×M₁₆	—	2	1	no	—
671	C₂×M₁₆	—	2	1	no	—
672	C₂×M₁₆	—	2	1	no	—
673	C₂×M₁₆	—	2	1	no	—
674	C₂×M₁₆	—	8	2	no	—
675	C₂×M₁₆	—	8	2	no	—
676	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
677	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
678	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
679	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
680	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
681	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
682	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
683	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
684	C₂²×C₈	—	2	1	no	—
685	C₂²×C₈	—	2	1	no	—
686	C₂²×C₈	—	2	1	no	—
687	C₂²×C₈	—	2	1	no	—
688	C₂²×C₈	—	2	1	no	—
689	C₂²×C₈	—	2	1	no	—
690	C₂²×C₈	—	2	1	no	—
691	C₂²×C₈	—	2	1	no	—
692	C₂²×C₈	—	2	1	no	—
693	C₂²×C₈	—	2	1	no	—
694	C₂²×C₈	—	2	1	no	—
695	C₂²×C₈	—	2	1	no	—
696	C₂²×C₈	—	2	1	no	—
697	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
698	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
699	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
700	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
704	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
705	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
706	#127	C₂²×C₄	1	1	yes	characteristic
707	#126	—	2	1	no	—
708	#126	—	2	1	no	—
709	#126	—	2	1	no	—
710	#126	—	2	1	no	—
711	#126	—	2	1	no	—
712	#126	—	2	1	no	—
713	#126	—	2	1	no	—
714	#126	—	2	1	no	—
715	#126	—	2	1	no	—
716	#126	—	2	1	no	—
717	#125	—	2	1	no	—
718	#125	—	2	1	no	—
719	#125	—	2	1	no	—
720	#125	—	2	1	no	—
721	#125	—	2	1	no	—
722	#125	—	2	1	no	—
723	#125	C₂²×C₄	1	1	yes	characteristic
724	#125	C₂²×C₄	1	1	yes	characteristic
725	#125	C₂²×C₄	1	1	yes	characteristic
726	#125	C₂²×C₄	1	1	yes	characteristic
727	#124	—	2	1	no	—
728	#124	—	2	1	no	—
729	#124	—	2	1	no	—
730	#124	—	2	1	no	—
731	#124	C₂²×C₄	1	1	yes	characteristic
732	#124	C₂²×C₄	1	1	yes	characteristic
733	#124	C₂²×C₄	1	1	yes	characteristic
734	#124	C₂²×C₄	1	1	yes	characteristic
735	#123	—	2	1	no	—
736	#123	—	2	1	no	—
737	#123	—	2	1	no	—
738	#123	—	2	1	no	—
739	#123	—	2	1	no	—
740	#123	—	2	1	no	—
741	#123	—	2	1	no	—
742	#123	—	2	1	no	—
743	#123	—	2	1	no	—
744	#123	—	2	1	no	—
745	#123	—	2	1	no	—
746	#123	—	2	1	no	—
747	#123	—	2	1	no	—
748	#123	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
763	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
764	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
765	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	1	no	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	C₂²×C₄	1	1	yes	characteristic
776	#121	C₂²×C₄	1	1	yes	characteristic
777	#121	C₂²×C₄	1	1	yes	characteristic
778	#121	C₂²×C₄	1	1	yes	characteristic
779	#121	C₂²×C₄	1	1	yes	characteristic
780	#121	C₂²×C₄	1	1	yes	characteristic
781	#120	—	2	1	no	—
782	#120	—	2	1	no	—
783	#120	—	2	1	no	—
784	#120	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
792	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
793	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
794	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
795	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
796	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
797	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
798	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
799	C₄×Q₈	C₂⁴	1	1	yes	characteristic
800	C₄×Q₈	C₂⁴	1	1	yes	characteristic
801	C₄×Q₈	C₂⁴	1	1	yes	characteristic
802	C₄×Q₈	C₂⁴	1	1	yes	characteristic
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
824	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
825	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
826	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
827	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
828	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
829	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
830	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
831	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
832	C₄×D₄	C₂×D₄	1	1	yes	characteristic
833	C₄×D₄	C₂×D₄	1	1	yes	characteristic
834	C₄×D₄	C₂×D₄	1	1	yes	characteristic
835	C₄×D₄	C₂⁴	1	1	yes	characteristic
836	C₄×D₄	C₂⁴	1	1	yes	characteristic
837	C₄×D₄	C₂⁴	1	1	yes	characteristic
838	C₄×D₄	C₂⁴	1	1	yes	characteristic
839	#117	—	2	1	no	—
840	#117	—	2	1	no	—
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	1	no	—
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	C₂²×C₄	1	1	yes	characteristic
850	#117	C₂²×C₄	1	1	yes	characteristic
851	#117	#41	1	1	yes	characteristic
852	#117	#41	1	1	yes	characteristic
853	#117	#41	1	1	yes	characteristic
854	C₂×C₄⋊C₄	—	2	1	no	—
855	C₂×C₄⋊C₄	—	2	1	no	—
856	C₂×C₄⋊C₄	—	2	1	no	—
857	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	—	2	1	no	—
862	C₂×C₂²⋊C₄	—	2	1	no	—
863	C₂×C₂²⋊C₄	—	2	1	no	—
864	C₂×C₂²⋊C₄	—	2	1	no	—
865	C₂×C₄²	—	2	1	no	—
866	C₂×C₄²	—	2	1	no	—
867	C₂×C₄²	—	2	1	no	—
868	C₂×C₄²	—	2	1	no	—
869	C₂×C₄²	C₂⁴	1	1	yes	characteristic
870	C₂×C₄²	C₂⁴	1	1	yes	characteristic
871	C₂×C₄²	C₂⁴	1	1	yes	characteristic
872	#107	C₂²×C₄	1	1	yes	characteristic
873	#107	C₂²×C₄	1	1	yes	characteristic
874	#107	C₂²×C₄	1	1	yes	characteristic
875	#107	C₂²×C₄	1	1	yes	characteristic
876	#107	C₂²×C₄	1	1	yes	characteristic
877	#107	C₂²×C₄	1	1	yes	characteristic
878	#106	C₂²×C₄	1	1	yes	characteristic
879	#106	C₂²×C₄	1	1	yes	characteristic
880	#106	C₂²×C₄	1	1	yes	characteristic
881	#106	C₂²×C₄	1	1	yes	characteristic
882	#106	C₂²×C₄	1	1	yes	characteristic
883	#106	C₂²×C₄	1	1	yes	characteristic
884	#106	C₂²×C₄	1	1	yes	characteristic
885	#106	C₂²×C₄	1	1	yes	characteristic
886	#106	C₂²×C₄	1	1	yes	characteristic
887	#106	C₂²×C₄	1	1	yes	characteristic
888	C₄⋊C₈	—	2	1	no	—
889	C₄⋊C₈	—	2	1	no	—
890	C₄⋊C₈	—	2	1	no	—
891	C₄⋊C₈	—	2	1	no	—
892	C₄⋊C₈	—	2	1	no	—
893	C₄⋊C₈	—	2	1	no	—
894	C₄⋊C₈	—	2	1	no	—
895	C₄⋊C₈	—	2	1	no	—
896	C₄⋊C₈	—	2	1	no	—
897	C₄⋊C₈	—	2	1	no	—
898	C₄⋊C₈	—	2	1	no	—
899	C₄⋊C₈	—	2	1	no	—
900	C₄⋊C₈	—	2	1	no	—
901	C₄⋊C₈	—	2	1	no	—
902	C₄⋊C₈	—	2	1	no	—
903	C₄⋊C₈	—	2	1	no	—
904	C₄⋊C₈	—	2	1	no	—
905	C₄⋊C₈	—	2	1	no	—
906	C₄⋊C₈	—	2	1	no	—
907	C₄⋊C₈	—	2	1	no	—
908	C₄⋊C₈	—	2	1	no	—
909	C₄⋊C₈	—	2	1	no	—
910	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
911	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
912	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
913	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
914	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
915	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
916	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
917	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
918	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
919	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
920	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
921	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
922	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
923	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
924	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
925	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
926	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
927	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
928	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
929	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
930	#103	C₂²×C₄	1	1	yes	characteristic
931	#103	C₂²×C₄	1	1	yes	characteristic
932	#103	C₂²×C₄	1	1	yes	characteristic
933	#103	C₂²×C₄	1	1	yes	characteristic
934	#103	C₂²×C₄	1	1	yes	characteristic
935	#103	C₂²×C₄	1	1	yes	characteristic
936	#103	C₂²×C₄	1	1	yes	characteristic
937	#103	C₂²×C₄	1	1	yes	characteristic
938	#103	C₂²×C₄	1	1	yes	characteristic
939	#103	C₂²×C₄	1	1	yes	characteristic
940	#103	C₂²×C₄	1	1	yes	characteristic
941	#103	C₂²×C₄	1	1	yes	characteristic
942	#103	C₂²×C₄	1	1	yes	characteristic
943	#103	C₂²×C₄	1	1	yes	characteristic
944	#103	C₂²×C₄	1	1	yes	characteristic
945	#103	C₂²×C₄	1	1	yes	characteristic
946	#102	C₂²×C₄	1	1	yes	characteristic
947	#102	C₂²×C₄	1	1	yes	characteristic
948	#102	C₂²×C₄	1	1	yes	characteristic
949	#102	C₂²×C₄	1	1	yes	characteristic
950	#102	C₂²×C₄	1	1	yes	characteristic
951	#102	C₂²×C₄	1	1	yes	characteristic
952	#102	C₂²×C₄	1	1	yes	characteristic
953	#102	C₂²×C₄	1	1	yes	characteristic
954	#102	C₂²×C₄	1	1	yes	characteristic
955	#102	C₂²×C₄	1	1	yes	characteristic
956	#102	C₂²×C₄	1	1	yes	characteristic
957	#102	C₂²×C₄	1	1	yes	characteristic
958	#102	C₂²×C₄	1	1	yes	characteristic
959	#102	C₂²×C₄	1	1	yes	characteristic
960	#102	C₂²×C₄	1	1	yes	characteristic
961	#102	C₂²×C₄	1	1	yes	characteristic
962	C₂²⋊C₈	—	2	1	no	—
963	C₂²⋊C₈	—	2	1	no	—
964	C₂²⋊C₈	—	2	1	no	—
965	C₂²⋊C₈	—	2	1	no	—
966	C₂²⋊C₈	—	2	1	no	—
967	C₂²⋊C₈	—	2	1	no	—
968	C₂²⋊C₈	—	2	1	no	—
969	C₂²⋊C₈	—	2	1	no	—
970	C₂²⋊C₈	—	2	1	no	—
971	C₂²⋊C₈	—	2	1	no	—
972	C₂²⋊C₈	—	2	1	no	—
973	C₂²⋊C₈	—	2	1	no	—
974	C₂²⋊C₈	—	2	1	no	—
975	C₂²⋊C₈	—	2	1	no	—
976	C₂²⋊C₈	—	2	1	no	—
977	C₂²⋊C₈	—	2	1	no	—
978	C₂²⋊C₈	—	2	1	no	—
979	C₂²⋊C₈	—	2	1	no	—
980	C₂²⋊C₈	—	2	1	no	—
981	C₂²⋊C₈	—	2	1	no	—
982	C₂²⋊C₈	—	2	1	no	—
983	C₂²⋊C₈	—	2	1	no	—
984	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
985	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
986	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
987	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
988	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
989	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
990	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
991	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
992	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
993	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
994	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
995	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
996	#97	—	2	1	no	—
997	#97	—	2	1	no	—
998	#97	—	2	1	no	—
999	#97	—	2	1	no	—
1000	#97	—	2	1	no	—
1001	#97	—	2	1	no	—
1002	#97	—	2	1	no	—
1003	#97	—	2	1	no	—
1004	#97	—	2	1	no	—
1005	#97	—	2	1	no	—
1006	#97	—	2	1	no	—
1007	#97	—	2	1	no	—
1008	#97	—	2	1	no	—
1009	#97	C₂²×C₄	1	1	yes	characteristic
1010	#97	C₂²×C₄	1	1	yes	characteristic
1011	#97	C₂²×C₄	1	1	yes	characteristic
1012	#97	C₂²×C₄	1	1	yes	characteristic
1013	#97	C₂×D₄	1	1	yes	characteristic
1014	#97	C₂×D₄	1	1	yes	characteristic
1015	#97	C₂×D₄	1	1	yes	characteristic
1016	#97	C₂×D₄	1	1	yes	characteristic
1017	C₄×C₈	—	2	1	no	—
1018	C₄×C₈	—	2	1	no	—
1019	C₄×C₈	—	2	1	no	—
1020	C₄×C₈	—	2	1	no	—
1021	C₄×C₈	—	2	1	no	—
1022	C₄×C₈	—	2	1	no	—
1023	C₄×C₈	—	2	1	no	—
1024	C₄×C₈	—	2	1	no	—
1025	C₄×C₈	—	2	1	no	—
1026	C₄×C₈	—	2	1	no	—
1027	C₄×C₈	—	2	1	no	—
1028	C₄×C₈	—	2	1	no	—
1029	C₄×C₈	—	2	1	no	—
1030	C₄×C₈	—	2	1	no	—
1031	C₄×C₈	—	2	1	no	—
1032	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1033	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1034	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1035	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1036	C₄×C₈	C₂⁴	1	1	yes	characteristic
1037	C₄×C₈	C₂⁴	1	1	yes	characteristic
1038	C₄×C₈	C₂⁴	1	1	yes	characteristic
1039	C₄×C₈	C₂⁴	1	1	yes	characteristic
1040	C₄×C₈	C₂⁴	1	1	yes	characteristic
1041	C₄×C₈	C₂⁴	1	1	yes	characteristic
1042	C₄×C₈	C₂⁴	1	1	yes	characteristic
1043	C₄×C₈	C₂⁴	1	1	yes	characteristic
1044	C₄×C₈	C₂⁴	1	1	yes	characteristic
1045	C₄×C₈	C₂⁴	1	1	yes	characteristic
1046	C₄×C₈	C₂⁴	1	1	yes	characteristic
1047	C₄×C₈	C₂⁴	1	1	yes	characteristic
1048	C₂⁴	—	2	1	no	—
1049	C₂⁴	—	2	1	no	—
1050	#41	—	2	2	no	—
1051	#41	—	4	2	no	—
1052	#41	—	4	1	no	—
1053	#41	—	4	1	no	—
1054	#41	—	4	1	no	—
1055	#41	—	8	1	no	—
1056	#41	—	8	1	no	—
1057	#41	—	8	2	no	—
1058	C₂×Q₈	—	2	1	no	—
1059	C₂×Q₈	—	2	1	no	—
1060	C₂×Q₈	—	2	1	no	—
1061	C₂×Q₈	—	2	1	no	—
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	2	2	no	—
1064	C₂×Q₈	—	4	1	no	—
1065	C₂×Q₈	—	4	1	no	—
1066	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1067	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1068	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1069	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1070	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1071	C₂×D₄	—	2	1	no	—
1072	C₂×D₄	—	2	1	no	—
1073	C₂×D₄	—	2	1	no	—
1074	C₂×D₄	—	2	1	no	—
1075	C₂×D₄	—	2	1	no	—
1076	C₂×D₄	—	2	1	no	—
1077	C₂×D₄	—	2	1	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	1	no	—
1082	C₂×D₄	—	2	1	no	—
1083	C₂×D₄	—	4	1	no	—
1084	C₂×D₄	—	4	1	no	—
1085	C₂×D₄	—	4	1	no	—
1086	C₂×D₄	—	4	1	no	—
1087	C₂×D₄	—	8	2	no	—
1088	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1089	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1090	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1091	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1092	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1093	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1094	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	2	1	no	—
1102	C₂²×C₄	—	2	1	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	2	1	no	—
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	1	no	—
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	2	1	no	—
1113	C₂²×C₄	—	8	1	no	—
1114	C₂²×C₄	—	8	1	no	—
1115	C₂²×C₄	—	8	1	no	—
1116	C₂²×C₄	—	8	1	no	—
1117	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1120	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1122	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1123	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1124	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1125	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1126	Q₁₆	—	2	2	no	—
1127	Q₁₆	—	4	1	no	—
1128	Q₁₆	—	4	1	no	—
1129	SD₁₆	—	2	2	no	—
1130	SD₁₆	—	2	2	no	—
1131	SD₁₆	—	2	2	no	—
1132	SD₁₆	—	4	1	no	—
1133	SD₁₆	—	4	1	no	—
1134	SD₁₆	—	4	1	no	—
1135	SD₁₆	—	4	1	no	—
1136	SD₁₆	—	4	1	no	—
1137	SD₁₆	—	4	1	no	—
1138	SD₁₆	—	4	1	no	—
1139	D₈	—	4	1	no	—
1140	D₈	—	4	1	no	—
1141	D₈	—	4	1	no	—
1142	M₁₆	—	2	4	no	—
1143	M₁₆	—	2	2	no	—
1144	M₁₆	—	2	2	no	—
1145	M₁₆	—	4	1	no	—
1146	M₁₆	—	4	1	no	—
1147	M₁₆	—	4	1	no	—
1148	M₁₆	—	4	1	no	—
1149	M₁₆	—	4	1	no	—
1150	M₁₆	—	4	1	no	—
1151	M₁₆	—	4	2	no	—
1152	M₁₆	—	4	2	no	—
1153	M₁₆	—	4	2	no	—
1154	M₁₆	—	4	2	no	—
1155	M₁₆	—	4	2	no	—
1156	M₁₆	—	8	1	no	—
1157	M₁₆	—	8	1	no	—
1158	M₁₆	—	8	1	no	—
1159	M₁₆	—	8	1	no	—
1160	M₁₆	—	8	1	no	—
1161	M₁₆	—	8	1	no	—
1162	M₁₆	—	8	1	no	—
1163	M₁₆	—	8	1	no	—
1164	M₁₆	—	8	1	no	—
1165	C₂×C₈	—	2	1	no	—
1166	C₂×C₈	—	2	1	no	—
1167	C₂×C₈	—	2	2	no	—
1168	C₂×C₈	—	2	1	no	—
1169	C₂×C₈	—	2	1	no	—
1170	C₂×C₈	—	2	1	no	—
1171	C₂×C₈	—	2	1	no	—
1172	C₂×C₈	—	2	1	no	—
1173	C₂×C₈	—	2	1	no	—
1174	C₂×C₈	—	2	1	no	—
1175	C₂×C₈	—	2	1	no	—
1176	C₂×C₈	—	2	1	no	—
1177	C₂×C₈	—	2	1	no	—
1178	C₂×C₈	—	4	1	no	—
1179	C₂×C₈	—	4	1	no	—
1180	C₂×C₈	—	4	1	no	—
1181	C₂×C₈	—	4	2	no	—
1182	C₂×C₈	—	4	2	no	—
1183	C₂×C₈	—	4	2	no	—
1184	C₂×C₈	—	4	2	no	—
1185	C₂×C₈	—	8	1	no	—
1186	C₂×C₈	—	8	1	no	—
1187	C₂×C₈	—	8	1	no	—
1188	C₂×C₈	—	8	1	no	—
1189	C₂×C₈	—	8	1	no	—
1190	C₂×C₈	—	8	1	no	—
1191	C₂×C₈	—	8	1	no	—
1192	C₂×C₈	—	8	1	no	—
1193	C₂×C₈	—	8	1	no	—
1194	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1195	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1196	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1197	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1198	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1199	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1200	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1201	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1202	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1203	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1204	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1205	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1206	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1207	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1208	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1209	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	—	2	1	no	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	1	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	—	2	1	no	—
1218	C₄⋊C₄	—	2	1	no	—
1219	C₄⋊C₄	—	2	1	no	—
1220	C₄⋊C₄	—	2	1	no	—
1221	C₄⋊C₄	—	2	1	no	—
1222	C₄⋊C₄	—	2	1	no	—
1223	C₄⋊C₄	—	2	1	no	—
1224	C₄⋊C₄	—	2	1	no	—
1225	C₄⋊C₄	—	2	1	no	—
1226	C₄⋊C₄	—	2	1	no	—
1227	C₄⋊C₄	—	2	1	no	—
1228	C₄⋊C₄	—	2	1	no	—
1229	C₄⋊C₄	—	2	1	no	—
1230	C₄⋊C₄	—	2	1	no	—
1231	C₄⋊C₄	—	2	1	no	—
1232	C₄⋊C₄	—	2	1	no	—
1233	C₄⋊C₄	—	2	1	no	—
1234	C₄⋊C₄	—	2	1	no	—
1235	C₄⋊C₄	—	2	1	no	—
1236	C₄⋊C₄	—	2	1	no	—
1237	C₄⋊C₄	—	2	1	no	—
1238	C₄⋊C₄	—	2	1	no	—
1239	C₄⋊C₄	—	2	1	no	—
1240	C₄⋊C₄	—	2	1	no	—
1241	C₄⋊C₄	—	2	1	no	—
1242	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1243	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1244	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1245	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1246	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1247	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1248	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1249	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1250	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1251	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1252	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1253	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1254	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1255	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1256	C₂²⋊C₄	—	2	1	no	—
1257	C₂²⋊C₄	—	2	1	no	—
1258	C₂²⋊C₄	—	2	1	no	—
1259	C₂²⋊C₄	—	2	1	no	—
1260	C₂²⋊C₄	—	2	1	no	—
1261	C₂²⋊C₄	—	2	1	no	—
1262	C₂²⋊C₄	—	2	1	no	—
1263	C₂²⋊C₄	—	2	1	no	—
1264	C₂²⋊C₄	—	2	1	no	—
1265	C₂²⋊C₄	—	2	1	no	—
1266	C₂²⋊C₄	—	2	1	no	—
1267	C₂²⋊C₄	—	2	1	no	—
1268	C₂²⋊C₄	—	2	1	no	—
1269	C₂²⋊C₄	—	2	1	no	—
1270	C₂²⋊C₄	—	2	1	no	—
1271	C₂²⋊C₄	—	2	1	no	—
1272	C₂²⋊C₄	—	2	1	no	—
1273	C₂²⋊C₄	—	2	1	no	—
1274	C₂²⋊C₄	—	2	1	no	—
1275	C₂²⋊C₄	—	2	1	no	—
1276	C₂²⋊C₄	—	2	1	no	—
1277	C₂²⋊C₄	—	2	1	no	—
1278	C₂²⋊C₄	—	2	1	no	—
1279	C₂²⋊C₄	—	2	1	no	—
1280	C₂²⋊C₄	—	2	1	no	—
1281	C₂²⋊C₄	—	2	1	no	—
1282	C₂²⋊C₄	—	2	1	no	—
1283	C₂²⋊C₄	—	2	1	no	—
1284	C₂²⋊C₄	—	2	1	no	—
1285	C₂²⋊C₄	—	2	1	no	—
1286	C₂²⋊C₄	—	2	1	no	—
1287	C₂²⋊C₄	—	2	1	no	—
1288	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1289	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1290	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1291	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1292	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1293	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1294	C₄²	—	2	1	no	—
1295	C₄²	—	2	1	no	—
1296	C₄²	—	2	1	no	—
1297	C₄²	—	2	1	no	—
1298	C₄²	—	2	1	no	—
1299	C₄²	—	2	1	no	—
1300	C₄²	—	2	1	no	—
1301	C₄²	—	2	1	no	—
1302	C₄²	—	2	1	no	—
1303	C₄²	—	2	1	no	—
1304	C₄²	—	2	1	no	—
1305	C₄²	—	2	1	no	—
1306	C₄²	C₂³×C₄	1	1	yes	characteristic
1307	C₄²	C₂³×C₄	1	1	yes	characteristic
1308	C₄²	C₂³×C₄	1	1	yes	characteristic
1309	C₄²	C₂²×D₄	1	1	yes	characteristic
1310	C₄²	C₂²×D₄	1	1	yes	characteristic
1311	C₄²	C₂²×D₄	1	1	yes	characteristic
1312	C₄²	C₂×#41	1	1	yes	characteristic
1313	C₄²	C₂×#41	1	1	yes	characteristic
1314	C₄²	C₂×#41	1	1	yes	characteristic
1315	C₄²	C₂⁵	1	1	yes	characteristic
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	4	2	no	—
1321	C₂³	—	8	1	no	—
1322	C₂³	—	8	1	no	—
1323	C₂³	—	8	1	no	—
1324	C₂³	—	8	1	no	—
1325	C₂³	—	8	1	no	—
1326	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1327	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1328	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1329	Q₈	—	2	1	no	—
1330	Q₈	—	2	1	no	—
1331	Q₈	—	2	1	no	—
1332	Q₈	—	2	1	no	—
1333	Q₈	—	2	1	no	—
1334	Q₈	—	2	1	no	—
1335	Q₈	—	2	1	no	—
1336	Q₈	—	4	1	no	—
1337	Q₈	—	4	2	no	—
1338	Q₈	—	4	2	no	—
1339	Q₈	—	8	1	no	—
1340	Q₈	—	8	1	no	—
1341	Q₈	#568	1	2	yes	—
1342	D₄	—	2	2	no	—
1343	D₄	—	2	2	no	—
1344	D₄	—	2	1	no	—
1345	D₄	—	2	1	no	—
1346	D₄	—	2	1	no	—
1347	D₄	—	2	1	no	—
1348	D₄	—	2	1	no	—
1349	D₄	—	2	1	no	—
1350	D₄	—	2	1	no	—
1351	D₄	—	2	1	no	—
1352	D₄	—	4	1	no	—
1353	D₄	—	4	2	no	—
1354	D₄	—	4	2	no	—
1355	D₄	—	4	2	no	—
1356	D₄	—	8	1	no	—
1357	D₄	—	8	1	no	—
1358	D₄	—	8	1	no	—
1359	D₄	—	8	1	no	—
1360	D₄	—	8	1	no	—
1361	D₄	—	8	1	no	—
1362	D₄	—	8	1	no	—
1363	D₄	—	8	1	no	—
1364	D₄	—	8	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	2	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	4	1	no	—
1391	C₂×C₄	—	4	1	no	—
1392	C₂×C₄	—	4	2	no	—
1393	C₂×C₄	—	4	2	no	—
1394	C₂×C₄	—	4	2	no	—
1395	C₂×C₄	—	4	2	no	—
1396	C₂×C₄	—	4	1	no	—
1397	C₂×C₄	—	4	1	no	—
1398	C₂×C₄	—	4	1	no	—
1399	C₂×C₄	—	4	1	no	—
1400	C₂×C₄	—	4	1	no	—
1401	C₂×C₄	—	4	1	no	—
1402	C₂×C₄	—	4	1	no	—
1403	C₂×C₄	—	4	1	no	—
1404	C₂×C₄	—	8	1	no	—
1405	C₂×C₄	—	8	1	no	—
1406	C₂×C₄	—	8	1	no	—
1407	C₂×C₄	—	8	1	no	—
1408	C₂×C₄	—	8	1	no	—
1409	C₂×C₄	—	8	1	no	—
1410	C₂×C₄	—	8	1	no	—
1411	C₂×C₄	—	8	1	no	—
1412	C₂×C₄	—	8	1	no	—
1413	C₂×C₄	—	8	1	no	—
1414	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1415	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1416	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1417	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1418	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1419	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1420	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1421	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1422	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1423	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1424	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1425	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1426	C₈	—	2	2	no	—
1427	C₈	—	2	2	no	—
1428	C₈	—	2	1	no	—
1429	C₈	—	2	1	no	—
1430	C₈	—	2	1	no	—
1431	C₈	—	2	1	no	—
1432	C₈	—	2	1	no	—
1433	C₈	—	2	1	no	—
1434	C₈	—	2	1	no	—
1435	C₈	—	2	1	no	—
1436	C₈	—	2	1	no	—
1437	C₈	—	2	1	no	—
1438	C₈	—	2	1	no	—
1439	C₈	—	2	1	no	—
1440	C₈	—	2	1	no	—
1441	C₈	—	2	1	no	—
1442	C₈	—	2	1	no	—
1443	C₈	—	4	1	no	—
1444	C₈	—	4	1	no	—
1445	C₈	—	4	1	no	—
1446	C₈	—	4	1	no	—
1447	C₈	—	4	1	no	—
1448	C₈	—	4	1	no	—
1449	C₈	—	4	1	no	—
1450	C₈	—	4	1	no	—
1451	C₈	—	4	1	no	—
1452	C₈	—	4	1	no	—
1453	C₈	#577	1	2	yes	—
1454	C₂²	—	2	1	no	—
1455	C₂²	—	2	1	no	—
1456	C₂²	—	2	1	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	1	no	—
1460	C₂²	—	2	1	no	—
1461	C₂²	—	2	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	16	2	no	—
1475	C₂²	—	16	2	no	—
1476	C₂²	#2956	1	2	yes	—
1477	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1478	C₄	—	2	1	no	—
1479	C₄	—	2	1	no	—
1480	C₄	—	2	1	no	—
1481	C₄	—	2	1	no	—
1482	C₄	—	2	1	no	—
1483	C₄	—	2	1	no	—
1484	C₄	—	2	1	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	1	no	—
1487	C₄	—	2	1	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	C₂×#568	1	1	yes	characteristic
1501	C₄	#3573	1	1	yes	characteristic
1502	C₄	C₂×#577	1	1	yes	characteristic
1503	C₄	#3584	1	1	yes	characteristic
1504	C₂	—	2	2	no	—
1505	C₂	—	4	1	no	—
1506	C₂	—	4	1	no	—
1507	C₂	—	8	1	no	—
1508	C₂	—	8	1	no	—
1509	C₂	—	8	1	no	—
1510	C₂	—	8	1	no	—
1511	C₂	#60146	1	1	yes	characteristic
1512	C₂	C₄×#577	1	1	yes	characteristic
1513	C₂	C₂×#2956	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₄²	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	#61445	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ #2965 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60335	C₂	semidirect
3. #60324	C₂	semidirect
4. #18088	C₂	semidirect
5. #18079	C₂	semidirect
6. #18078	C₂	semidirect
7. #18056	C₂	semidirect
8. #18049	C₂	semidirect
9. #18048	C₂	semidirect
10. #18023	C₂	semidirect
11. #18020	C₂	semidirect
12. #17999	C₂	semidirect
13. #17999	C₂	semidirect
14. #17997	C₂	semidirect
15. #17995	C₂	semidirect
16. #17988	C₂	semidirect
17. #17987	C₂	semidirect
18. #17978	C₂	semidirect
19. #17955	C₂	semidirect
20. #17952	C₂	semidirect
21. #17942	C₂	semidirect
22. #17927	C₂	semidirect
23. #17923	C₂	semidirect
24. #17911	C₂	semidirect
25. #17875	C₂	semidirect
26. #17874	C₂	semidirect
27. C₂×#1583	C₂	semidirect
28. #17838	C₂	semidirect
29. #17519	C₂	semidirect
30. #17517	C₂	semidirect
31. #17337	C₂	semidirect
62. #2994	C₂²	semidirect
65. #2993	C₂²	semidirect
70. #2988	C₂²	semidirect
72. #2985	C₂²	semidirect
73. #2984	C₂²	semidirect
74. #2982	C₂²	semidirect
82. #2971	C₂²	semidirect
85. #2969	C₂²	semidirect
89. #2966	C₂²	semidirect
93. Q₈×M₁₆	C₂²	semidirect
95. #2962	C₂²	semidirect
96. C₂×C₈×Q₈	C₂²	semidirect
108. #1593	C₂²	semidirect
110. #1592	C₂²	semidirect
114. #1590	C₂²	semidirect
115. #1590	C₂²	semidirect
116. #1590	C₂²	semidirect
118. #1589	C₂²	semidirect
122. #1588	C₂²	semidirect
123. #1588	C₂²	semidirect
124. #1588	C₂²	semidirect
125. #1587	C₂²	semidirect
126. #1587	C₂²	semidirect
127. #1587	C₂²	semidirect
128. #1587	C₂²	semidirect
130. #1586	C₂²	semidirect
131. #1586	C₂²	semidirect
132. #1586	C₂²	semidirect
133. #1585	C₂²	semidirect
134. #1585	C₂²	semidirect
135. #1584	C₂²	semidirect
136. #1584	C₂²	semidirect
137. #1584	C₂²	semidirect
138. #1584	C₂²	semidirect
144. #1583	C₂²	semidirect
145. #1583	C₂²	semidirect
146. #1583	C₂²	semidirect
147. #1583	C₂²	semidirect
148. #1583	C₂²	semidirect
149. #1583	C₂²	semidirect
150. #1583	C₂²	semidirect
151. #1582	C₂²	semidirect
152. #1582	C₂²	semidirect
153. #1582	C₂²	semidirect
154. #1582	C₂²	semidirect
156. #1581	C₂²	semidirect
157. #1581	C₂²	semidirect
158. #1581	C₂²	semidirect
159. #1580	C₂²	semidirect
160. #1579	C₂²	semidirect
161. SD₁₆⋊C₈	C₂²	semidirect
162. SD₁₆⋊C₈	C₂²	semidirect
163. C₈×Q₁₆	C₂²	semidirect
164. C₈×Q₁₆	C₂²	semidirect
165. C₈×SD₁₆	C₂²	semidirect
166. C₈×SD₁₆	C₂²	semidirect
167. C₈×SD₁₆	C₂²	semidirect
168. C₈×SD₁₆	C₂²	semidirect
169. C₈×SD₁₆	C₂²	semidirect
170. C₈×SD₁₆	C₂²	semidirect
171. #1573	C₂²	semidirect
172. #1573	C₂²	semidirect
173. #1572	C₂²	semidirect
174. #1572	C₂²	semidirect
175. #1570	C₂²	semidirect
176. #1570	C₂²	semidirect
177. #1569	C₂²	semidirect
178. #1569	C₂²	semidirect
179. #1568	C₂²	semidirect
180. #1565	C₂²	semidirect
181. #1565	C₂²	semidirect
182. C₂×#334	C₂²	semidirect
185. #1494	C₂²	semidirect
186. #1494	C₂²	semidirect
187. #1493	C₂²	semidirect
189. #1491	C₂²	semidirect
190. #1491	C₂²	semidirect
194. #1489	C₂²	semidirect
195. #1485	C₂²	semidirect
199. #1483	C₂²	semidirect
200. #1483	C₂²	semidirect
202. #1476	C₂²	semidirect
203. C₂×Q₈⋊C₈	C₂²	semidirect
204. C₂×Q₈⋊C₈	C₂²	semidirect
207. #1455	C₂²	semidirect
208. #1455	C₂²	semidirect
209. #1453	C₂²	semidirect
210. #1453	C₂²	semidirect
211. #1452	C₂²	semidirect
212. #1451	C₂²	semidirect
213. #1451	C₂²	semidirect
214. C₈×M₁₆	C₂²	semidirect
215. C₈×M₁₆	C₂²	semidirect
216. C₈×M₁₆	C₂²	semidirect
217. C₈×M₁₆	C₂²	semidirect
218. C₂×#322	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#61445	2
#60335	2
#60324	2
#18088	2
#18079	2
#18078	2
#18056	2
#18049	2
#18048	2
#18023	2
#18020	2
#17999	2
#17997	2
#17995	2
#17988	2
#17987	2
#17978	2
#17955	2
#17952	2
#17942	2
#17927	2
#17923	2
#17911	2
#17875	2
#17874	2
C₂×#1583	2
#17838	2
#17519	2
#17517	2
#17337	2