Subgroups — #6358398

Order 512.

1671 conjugacy classes of subgroups.

The subgroup lattice has 1527 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61428	C₂	1	1	yes	maximal, characteristic, complemented
2	SD₁₆×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	#61303	C₂	1	1	yes	maximal, characteristic, complemented
4	#61124	C₂	1	1	yes	maximal, characteristic, complemented
5	#20005	C₂	1	1	yes	maximal, characteristic, complemented
6	#20004	C₂	1	1	yes	maximal, characteristic, complemented
7	#20003	C₂	1	1	yes	maximal, characteristic, complemented
8	#20002	C₂	1	1	yes	maximal, characteristic, complemented
9	#20001	C₂	1	1	yes	maximal, characteristic, complemented
10	#20000	C₂	1	1	yes	maximal, characteristic, complemented
11	#19999	C₂	1	1	yes	maximal, characteristic, complemented
12	#19998	C₂	1	1	yes	maximal, characteristic, complemented
13	#19998	C₂	1	1	yes	maximal, characteristic, complemented
14	#19997	C₂	1	1	yes	maximal, characteristic, complemented
15	#19996	C₂	1	1	yes	maximal, characteristic, complemented
16	#19991	C₂	1	1	yes	maximal, characteristic, complemented
17	#19988	C₂	1	1	yes	maximal, characteristic, complemented
18	#19981	C₂	1	1	yes	maximal, characteristic, complemented
19	#19978	C₂	1	1	yes	maximal, characteristic, complemented
20	#19970	C₂	1	1	yes	maximal, characteristic, complemented
21	#19600	C₂	1	1	yes	maximal, characteristic, complemented
22	#19124	C₂	1	1	yes	maximal, characteristic, complemented
23	#19124	C₂	1	1	yes	maximal, characteristic, complemented
24	#19123	C₂	1	1	yes	maximal, characteristic, complemented
25	#19110	C₂	1	1	yes	maximal, characteristic, complemented
26	#18523	C₂	1	1	yes	maximal, characteristic, complemented
27	#18520	C₂	1	1	yes	maximal, characteristic, complemented
28	#18519	C₂	1	1	yes	maximal, characteristic, complemented
29	#18516	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈×#135	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₈×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
32	#3480	C₂²	1	1	yes	characteristic, complemented
33	Q₈×#41	C₂²	1	1	yes	characteristic
34	#3475	C₂²	1	1	yes	characteristic
35	D₄×#41	C₂²	1	1	yes	characteristic
36	#3394	C₂²	1	1	yes	characteristic, complemented
37	#3392	C₂²	1	1	yes	characteristic
38	#3381	C₂²	1	1	yes	characteristic
39	Q₈×SD₁₆	C₂²	1	1	yes	characteristic
40	#3365	—	2	1	no	—
41	#3365	C₂²	1	1	yes	characteristic, complemented
42	#3364	—	2	1	no	—
43	#3364	C₂²	1	1	yes	characteristic, complemented
44	#3364	C₂²	1	1	yes	characteristic, complemented
45	#3363	C₂²	1	1	yes	characteristic, complemented
46	#3362	C₂²	1	1	yes	characteristic
47	#3362	C₂²	1	1	yes	characteristic, complemented
48	#3361	—	2	1	no	—
49	#3361	C₂²	1	1	yes	characteristic
50	#3361	C₂²	1	1	yes	characteristic, complemented
51	#3360	—	2	1	no	—
52	#3360	C₂²	1	1	yes	characteristic, complemented
53	#3359	C₂²	1	1	yes	characteristic
54	#3359	C₂²	1	1	yes	characteristic, complemented
55	#3358	C₂²	1	1	yes	characteristic, complemented
56	#3340	C₂²	1	1	yes	characteristic, complemented
57	#3337	—	2	1	no	—
58	#3335	—	2	1	no	—
59	#3335	C₂²	1	1	yes	characteristic
60	#3305	C₂²	1	1	yes	characteristic
61	#3305	C₂²	1	1	yes	characteristic, complemented
62	#3304	C₂²	1	1	yes	characteristic
63	#3303	C₂²	1	1	yes	characteristic
64	#3302	C₂²	1	1	yes	characteristic
65	#3302	C₂²	1	1	yes	characteristic
66	#3301	—	2	1	no	—
67	#3300	—	2	1	no	—
68	#3300	—	2	1	no	—
69	#3299	C₂²	1	1	yes	characteristic
70	#3298	—	2	1	no	—
71	#3298	C₂²	1	1	yes	characteristic
72	#3298	C₂²	1	1	yes	characteristic
73	#3297	—	2	1	no	—
74	#3297	—	2	1	no	—
75	#3296	—	2	1	no	—
76	#3295	—	2	1	no	—
77	#3295	C₂²	1	1	yes	characteristic
78	#3295	C₂²	1	1	yes	characteristic
79	#3294	C₂²	1	1	yes	characteristic
80	#3284	C₂²	1	1	yes	characteristic
81	#3282	—	2	1	no	—
82	D₄×SD₁₆	—	2	1	no	—
83	D₄×SD₁₆	C₂²	1	1	yes	characteristic
84	#3170	C₂²	1	1	yes	characteristic, complemented
85	#3169	C₂²	1	1	yes	characteristic
86	#3168	—	2	1	no	—
87	#3167	—	2	1	no	—
88	#3167	C₂²	1	1	yes	characteristic
89	#3167	C₂²	1	1	yes	characteristic, complemented
90	#3131	—	2	1	no	—
91	#3131	C₂²	1	1	yes	characteristic
92	#3131	C₂²	1	1	yes	characteristic, complemented
93	#3104	C₂²	1	1	yes	characteristic, complemented
94	#3103	—	2	1	no	—
95	#3103	C₂²	1	1	yes	characteristic
96	#3102	—	2	1	no	—
97	#3102	—	2	1	no	—
98	#3101	—	2	1	no	—
99	#3101	C₂²	1	1	yes	characteristic
100	#3100	C₂²	1	1	yes	characteristic
101	#3091	—	2	1	no	—
102	#3076	—	2	1	no	—
103	#3076	C₂²	1	1	yes	characteristic
104	#3076	C₂²	1	1	yes	characteristic, complemented
105	#3050	—	2	1	no	—
106	#3035	—	2	1	no	—
107	#3035	C₂²	1	1	yes	characteristic
108	#3035	C₂²	1	1	yes	characteristic
109	#3002	—	2	1	no	—
110	C₈×#41	C₂²	1	1	yes	characteristic
111	C₈×#41	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
113	C₄×#135	—	2	1	no	—
114	C₄×#135	—	2	1	no	—
115	C₄×#135	C₂²	1	1	yes	characteristic
116	C₂×C₄×SD₁₆	—	2	1	no	—
117	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
118	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
119	C₂×#416	—	2	1	no	—
120	#1711	C₂²	1	1	yes	characteristic, complemented
121	#1711	C₂²	1	1	yes	characteristic, complemented
122	#1710	C₂²	1	1	yes	characteristic, complemented
123	#1709	C₂²	1	1	yes	characteristic, complemented
124	#1708	C₂²	1	1	yes	characteristic, complemented
125	#1708	C₂²	1	1	yes	characteristic, complemented
126	#1707	C₂²	1	1	yes	characteristic, complemented
127	#1706	C₂²	1	1	yes	characteristic, complemented
128	#1684	C₂²	1	1	yes	characteristic, complemented
129	#1684	C₂²	1	1	yes	characteristic, complemented
130	#1683	C₂²	1	1	yes	characteristic
131	#1683	C₂²	1	1	yes	characteristic, complemented
132	#1682	C₂²	1	1	yes	characteristic, complemented
133	#1682	C₂²	1	1	yes	characteristic, complemented
134	#1681	C₂²	1	1	yes	characteristic
135	#1681	C₂²	1	1	yes	characteristic, complemented
136	#1680	C₂²	1	1	yes	characteristic, complemented
137	#1680	C₂²	1	1	yes	characteristic, complemented
138	#1680	C₂²	1	1	yes	characteristic, complemented
139	#1680	C₂²	1	1	yes	characteristic, complemented
140	#1679	C₂²	1	1	yes	characteristic
141	#1679	C₂²	1	1	yes	characteristic, complemented
142	#1679	C₂²	1	1	yes	characteristic, complemented
143	#1679	C₂²	1	1	yes	characteristic, complemented
144	#1678	C₂²	1	1	yes	characteristic, complemented
145	#1678	C₂²	1	1	yes	characteristic, complemented
146	#1678	C₂²	1	1	yes	characteristic, complemented
147	#1678	C₂²	1	1	yes	characteristic, complemented
148	#1677	C₂²	1	1	yes	characteristic
149	#1677	C₂²	1	1	yes	characteristic, complemented
150	#1677	C₂²	1	1	yes	characteristic, complemented
151	#1677	C₂²	1	1	yes	characteristic, complemented
152	#1672	C₂²	1	1	yes	characteristic, complemented
153	#1672	C₂²	1	1	yes	characteristic, complemented
154	#1671	C₂²	1	1	yes	characteristic, complemented
155	#1671	C₂²	1	1	yes	characteristic, complemented
156	#1666	C₂²	1	1	yes	characteristic, complemented
157	#1666	C₂²	1	1	yes	characteristic, complemented
158	#1665	C₂²	1	1	yes	characteristic, complemented
159	#1665	C₂²	1	1	yes	characteristic, complemented
160	#1650	C₂²	1	1	yes	characteristic, complemented
161	#1650	C₂²	1	1	yes	characteristic, complemented
162	#1649	C₂²	1	1	yes	characteristic
163	#1649	C₂²	1	1	yes	characteristic, complemented
164	#1648	C₂²	1	1	yes	characteristic, complemented
165	#1648	C₂²	1	1	yes	characteristic, complemented
166	#1647	C₂²	1	1	yes	characteristic
167	#1647	C₂²	1	1	yes	characteristic
168	#1646	C₂²	1	1	yes	characteristic, complemented
169	#1645	C₂²	1	1	yes	characteristic, complemented
170	#1644	C₂²	1	1	yes	characteristic, complemented
171	#1643	C₂²	1	1	yes	characteristic
172	#1642	C₂²	1	1	yes	characteristic, complemented
173	#1641	C₂²	1	1	yes	characteristic
174	#1640	C₂²	1	1	yes	characteristic, complemented
175	#1639	C₂²	1	1	yes	characteristic
176	#1638	C₂²	1	1	yes	characteristic, complemented
177	#1637	C₂²	1	1	yes	characteristic, complemented
178	#1636	C₂²	1	1	yes	characteristic, complemented
179	#1635	C₂²	1	1	yes	characteristic
180	#1634	C₂²	1	1	yes	characteristic, complemented
181	#1633	C₂²	1	1	yes	characteristic, complemented
182	#1632	C₂²	1	1	yes	characteristic
183	#1632	C₂²	1	1	yes	characteristic, complemented
184	#1628	C₂²	1	1	yes	characteristic, complemented
185	#1627	C₂²	1	1	yes	characteristic
186	#1626	C₂²	1	1	yes	characteristic, complemented
187	#1625	C₂²	1	1	yes	characteristic
188	#1621	C₂²	1	1	yes	characteristic
189	#1621	C₂²	1	1	yes	characteristic, complemented
190	#1620	C₂²	1	1	yes	characteristic, complemented
191	#1619	C₂²	1	1	yes	characteristic
192	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
193	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
194	C₈×SD₁₆	C₂²	1	1	yes	characteristic
195	C₈×SD₁₆	C₂²	1	1	yes	characteristic
196	C₈×SD₁₆	C₂²	1	1	yes	characteristic
197	C₈×SD₁₆	C₂²	1	1	yes	characteristic
198	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
199	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
200	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
201	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
202	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
203	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
204	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
205	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
206	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
207	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
208	#1564	C₂²	1	1	yes	characteristic, complemented
209	C₂×#334	C₂²	1	1	yes	characteristic, complemented
210	#1542	C₂²	1	1	yes	characteristic, complemented
211	#1542	C₂²	1	1	yes	characteristic, complemented
212	#1540	C₂²	1	1	yes	characteristic
213	#1540	C₂²	1	1	yes	characteristic, complemented
214	#1476	C₂²	1	1	yes	characteristic
215	#1476	C₂²	1	1	yes	characteristic, complemented
216	C₂×Q₈⋊C₈	C₂²	1	1	yes	characteristic, complemented
217	C₂×D₄⋊C₈	C₂²	1	1	yes	characteristic
218	C₂×C₈²	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	—	2	1	no	—
220	C₂×#135	—	2	1	no	—
221	C₂×#135	—	2	1	no	—
222	C₂×#135	—	2	1	no	—
223	C₂×#135	D₄	1	1	yes	characteristic
224	C₂²×SD₁₆	—	2	1	no	—
225	C₂²×SD₁₆	D₄	1	1	yes	characteristic
226	C₂³×C₈	—	2	1	no	—
227	#559	—	2	1	no	—
228	#559	C₂³	1	1	yes	characteristic
229	Q₈²	C₂³	1	1	yes	characteristic
230	#557	—	2	1	no	—
231	#557	C₂³	1	1	yes	characteristic
232	#557	C₂³	1	1	yes	characteristic
233	#556	—	2	1	no	—
234	#556	C₂³	1	1	yes	characteristic
235	#556	C₂³	1	1	yes	characteristic
236	#555	C₂³	1	1	yes	characteristic
237	#554	—	2	1	no	—
238	#554	—	2	1	no	—
239	#554	—	4	1	no	—
240	#554	C₂³	1	1	yes	characteristic
241	#554	C₂³	1	1	yes	characteristic
242	#553	—	2	1	no	—
243	#553	—	2	1	no	—
244	#553	—	4	1	no	—
245	#552	—	2	1	no	—
246	#552	—	2	1	no	—
247	#551	—	4	1	no	—
248	#550	C₂³	1	1	yes	characteristic
249	#550	C₂³	1	1	yes	characteristic
250	D₄×Q₈	—	2	1	no	—
251	D₄×Q₈	C₂³	1	1	yes	characteristic
252	D₄×Q₈	C₂³	1	1	yes	characteristic
253	#548	—	2	1	no	—
254	#548	—	2	1	no	—
255	#547	—	2	1	no	—
256	#547	C₂³	1	1	yes	characteristic
257	#547	C₂³	1	1	yes	characteristic
258	#546	—	2	1	no	—
259	#546	—	2	1	no	—
260	#546	—	4	1	no	—
261	D₄²	—	2	1	no	—
262	D₄²	C₂³	1	1	yes	characteristic
263	#533	—	2	1	no	—
264	#533	—	2	1	no	—
265	#533	—	4	1	no	—
266	#533	C₂³	1	1	yes	characteristic
267	#533	C₂³	1	1	yes	characteristic
268	#532	—	2	1	no	—
269	#532	—	2	1	no	—
270	#532	C₂³	1	1	yes	characteristic
271	#532	C₂³	1	1	yes	characteristic
272	#529	—	2	1	no	—
273	#529	—	2	1	no	—
274	#529	—	4	1	no	—
275	#529	—	4	1	no	—
276	#525	—	2	1	no	—
277	#525	—	2	1	no	—
278	#525	—	4	1	no	—
279	C₄×#41	—	2	1	no	—
280	C₄×#41	—	2	1	no	—
281	C₄×#41	—	2	1	no	—
282	C₄×#41	—	2	1	no	—
283	C₄×#41	C₂³	1	1	yes	characteristic
284	C₄×#41	C₂³	1	1	yes	characteristic
285	C₂×C₄×Q₈	—	2	1	no	—
286	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
287	C₂×C₄×D₄	—	2	1	no	—
288	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
289	C₂×#117	—	2	1	no	—
290	#500	C₂³	1	1	yes	characteristic
291	#500	C₂³	1	1	yes	characteristic
292	#499	—	2	1	no	—
293	#498	—	2	1	no	—
294	#498	C₂³	1	1	yes	characteristic
295	#498	C₂³	1	1	yes	characteristic
296	#495	—	2	1	no	—
297	#494	C₂³	1	1	yes	characteristic
298	#493	C₂³	1	1	yes	characteristic
299	#492	—	2	1	no	—
300	#492	C₂³	1	1	yes	characteristic
301	#492	C₂³	1	1	yes	characteristic
302	#488	—	2	1	no	—
303	#488	—	2	1	no	—
304	#488	—	2	1	no	—
305	#488	—	2	1	no	—
306	#488	—	2	1	no	—
307	#488	—	2	1	no	—
308	#488	—	2	1	no	—
309	#488	—	2	1	no	—
310	#488	—	2	1	no	—
311	#488	—	2	1	no	—
312	#487	—	2	1	no	—
313	#487	—	2	1	no	—
314	#487	—	2	1	no	—
315	#487	C₂³	1	1	yes	characteristic
316	#487	C₂³	1	1	yes	characteristic
317	#487	C₂³	1	1	yes	characteristic
318	#487	C₂³	1	1	yes	characteristic
319	#487	C₂³	1	1	yes	characteristic
320	#487	C₂³	1	1	yes	characteristic
321	#487	C₂³	1	1	yes	characteristic
322	#487	C₂³	1	1	yes	characteristic
323	#486	—	2	1	no	—
324	#486	—	2	1	no	—
325	#486	—	2	1	no	—
326	#486	C₂³	1	1	yes	characteristic
327	#486	C₂³	1	1	yes	characteristic
328	#486	C₂³	1	1	yes	characteristic
329	#486	C₂³	1	1	yes	characteristic
330	#486	C₂³	1	1	yes	characteristic
331	#486	C₂³	1	1	yes	characteristic
332	#486	C₂³	1	1	yes	characteristic
333	#486	C₂³	1	1	yes	characteristic
334	#485	—	2	1	no	—
335	#485	—	2	1	no	—
336	#485	—	2	1	no	—
337	#485	—	2	1	no	—
338	#484	—	2	1	no	—
339	#484	—	2	1	no	—
340	#483	—	2	1	no	—
341	#483	—	2	1	no	—
342	#483	—	2	1	no	—
343	#483	—	2	1	no	—
344	#482	—	2	1	no	—
345	#482	—	2	1	no	—
346	#482	—	2	1	no	—
347	#482	—	2	1	no	—
348	#481	—	2	1	no	—
349	#481	—	2	1	no	—
350	#481	—	2	1	no	—
351	#481	—	2	1	no	—
352	#480	—	2	1	no	—
353	#480	—	2	1	no	—
354	#479	—	2	1	no	—
355	#479	—	2	1	no	—
356	#479	—	2	1	no	—
357	#479	—	2	1	no	—
358	#479	—	2	1	no	—
359	#479	—	2	1	no	—
360	#478	—	2	1	no	—
361	#478	—	2	1	no	—
362	#478	—	2	1	no	—
363	#478	—	2	1	no	—
364	#478	—	2	1	no	—
365	#478	—	2	1	no	—
366	#477	—	2	1	no	—
367	#477	C₂³	1	1	yes	characteristic
368	#477	C₂³	1	1	yes	characteristic
369	#477	C₂³	1	1	yes	characteristic
370	#477	C₂³	1	1	yes	characteristic
371	#476	—	2	1	no	—
372	#476	—	2	1	no	—
373	#476	—	2	1	no	—
374	#476	C₂³	1	1	yes	characteristic
375	#476	C₂³	1	1	yes	characteristic
376	#476	C₂³	1	1	yes	characteristic
377	#476	C₂³	1	1	yes	characteristic
378	#475	—	2	1	no	—
379	#475	—	2	1	no	—
380	#475	—	2	1	no	—
381	#475	C₂³	1	1	yes	characteristic
382	#475	C₂³	1	1	yes	characteristic
383	#475	C₂³	1	1	yes	characteristic
384	#475	C₂³	1	1	yes	characteristic
385	#474	—	2	1	no	—
386	#474	C₂³	1	1	yes	characteristic
387	#474	C₂³	1	1	yes	characteristic
388	#474	C₂³	1	1	yes	characteristic
389	#474	C₂³	1	1	yes	characteristic
390	#467	—	2	1	no	—
391	#467	—	2	1	no	—
392	#467	—	2	1	no	—
393	#467	—	4	1	no	—
394	#466	—	2	1	no	—
395	#466	—	2	1	no	—
396	#466	—	2	1	no	—
397	#466	—	4	1	no	—
398	#465	—	2	1	no	—
399	#465	—	2	1	no	—
400	#465	—	2	1	no	—
401	#465	—	2	1	no	—
402	#465	—	2	1	no	—
403	#465	—	2	1	no	—
404	#465	—	2	1	no	—
405	#465	—	2	1	no	—
406	#465	—	2	1	no	—
407	#465	—	2	1	no	—
408	#465	—	2	1	no	—
409	#465	—	2	1	no	—
410	#465	—	2	1	no	—
411	#465	—	2	1	no	—
412	#464	—	2	1	no	—
413	#464	—	2	1	no	—
414	#464	—	2	1	no	—
415	#464	—	2	1	no	—
416	#464	—	2	1	no	—
417	#464	—	2	1	no	—
418	#463	—	2	1	no	—
419	#463	—	2	1	no	—
420	#463	—	2	1	no	—
421	#463	—	2	1	no	—
422	#463	—	2	1	no	—
423	#463	—	2	1	no	—
424	#462	—	2	1	no	—
425	#462	C₂³	1	1	yes	characteristic
426	#462	C₂³	1	1	yes	characteristic
427	#462	C₂³	1	1	yes	characteristic
428	#462	C₂³	1	1	yes	characteristic
429	#461	—	2	1	no	—
430	#461	—	2	1	no	—
431	#461	—	2	1	no	—
432	#461	C₂³	1	1	yes	characteristic
433	#461	C₂³	1	1	yes	characteristic
434	#461	C₂³	1	1	yes	characteristic
435	#461	C₂³	1	1	yes	characteristic
436	#460	—	2	1	no	—
437	#460	—	2	1	no	—
438	#460	—	2	1	no	—
439	#460	C₂³	1	1	yes	characteristic
440	#460	C₂³	1	1	yes	characteristic
441	#460	C₂³	1	1	yes	characteristic
442	#460	C₂³	1	1	yes	characteristic
443	#459	—	2	1	no	—
444	#459	C₂³	1	1	yes	characteristic
445	#459	C₂³	1	1	yes	characteristic
446	#459	C₂³	1	1	yes	characteristic
447	#459	C₂³	1	1	yes	characteristic
448	#452	—	2	1	no	—
449	#452	—	2	1	no	—
450	#452	—	2	1	no	—
451	#452	—	2	1	no	—
452	#451	—	2	1	no	—
453	#451	—	2	1	no	—
454	#450	—	2	1	no	—
455	#450	—	2	1	no	—
456	#450	—	2	1	no	—
457	#450	—	2	1	no	—
458	#449	—	2	1	no	—
459	#449	—	2	1	no	—
460	#449	—	2	1	no	—
461	#449	—	2	1	no	—
462	#448	—	2	1	no	—
463	#448	—	2	1	no	—
464	#448	—	2	1	no	—
465	#448	—	2	1	no	—
466	#447	—	2	1	no	—
467	#447	—	2	1	no	—
468	C₈×Q₈	—	2	1	no	—
469	C₈×Q₈	—	2	1	no	—
470	C₈×Q₈	C₂³	1	1	yes	characteristic
471	C₈×Q₈	C₂³	1	1	yes	characteristic
472	C₈×Q₈	C₂³	1	1	yes	characteristic
473	C₈×Q₈	C₂³	1	1	yes	characteristic
474	C₈×Q₈	C₂³	1	1	yes	characteristic
475	C₈×Q₈	C₂³	1	1	yes	characteristic
476	C₈×Q₈	C₂³	1	1	yes	characteristic
477	C₈×Q₈	C₂³	1	1	yes	characteristic
478	C₄×Q₁₆	—	2	1	no	—
479	C₄×Q₁₆	—	2	1	no	—
480	C₄×Q₁₆	—	2	1	no	—
481	C₄×Q₁₆	—	2	1	no	—
482	C₄×Q₁₆	—	2	1	no	—
483	C₄×Q₁₆	—	4	1	no	—
484	C₄×Q₁₆	D₄	1	1	yes	characteristic
485	C₄×Q₁₆	C₂³	1	1	yes	characteristic
486	C₄×SD₁₆	—	2	1	no	—
487	C₄×SD₁₆	—	2	1	no	—
488	C₄×SD₁₆	—	2	1	no	—
489	C₄×SD₁₆	—	2	1	no	—
490	C₄×SD₁₆	—	2	1	no	—
491	C₄×SD₁₆	—	2	1	no	—
492	C₄×SD₁₆	—	2	1	no	—
493	C₄×SD₁₆	—	2	1	no	—
494	C₄×SD₁₆	—	2	1	no	—
495	C₄×SD₁₆	—	2	1	no	—
496	C₄×SD₁₆	—	2	1	no	—
497	C₄×SD₁₆	—	2	1	no	—
498	C₄×SD₁₆	—	2	1	no	—
499	C₄×SD₁₆	—	2	1	no	—
500	C₄×SD₁₆	—	2	1	no	—
501	C₄×SD₁₆	—	2	1	no	—
502	C₄×SD₁₆	—	2	1	no	—
503	C₄×SD₁₆	—	2	1	no	—
504	C₄×SD₁₆	D₄	1	1	yes	characteristic
505	C₄×SD₁₆	D₄	1	1	yes	characteristic
506	C₄×SD₁₆	D₄	1	1	yes	characteristic
507	C₄×SD₁₆	D₄	1	1	yes	characteristic
508	C₄×SD₁₆	D₄	1	1	yes	characteristic
509	C₄×SD₁₆	D₄	1	1	yes	characteristic
510	C₄×SD₁₆	C₂³	1	1	yes	characteristic
511	C₄×SD₁₆	C₂³	1	1	yes	characteristic
512	C₄×SD₁₆	C₂³	1	1	yes	characteristic
513	C₄×SD₁₆	C₂³	1	1	yes	characteristic
514	C₄×SD₁₆	C₂³	1	1	yes	characteristic
515	C₄×SD₁₆	C₂³	1	1	yes	characteristic
516	C₄×D₈	—	2	1	no	—
517	C₄×D₈	—	2	1	no	—
518	C₄×D₈	—	2	1	no	—
519	C₄×D₈	—	2	1	no	—
520	C₄×D₈	—	2	1	no	—
521	C₄×D₈	—	4	1	no	—
522	C₄×D₈	D₄	1	1	yes	characteristic
523	C₄×D₈	C₂³	1	1	yes	characteristic
524	C₈×D₄	—	2	1	no	—
525	C₈×D₄	—	2	1	no	—
526	C₈×D₄	—	2	1	no	—
527	C₈×D₄	—	2	1	no	—
528	C₈×D₄	—	2	1	no	—
529	C₈×D₄	—	2	1	no	—
530	C₈×D₄	C₂³	1	1	yes	characteristic
531	C₈×D₄	C₂³	1	1	yes	characteristic
532	C₈×D₄	C₂³	1	1	yes	characteristic
533	C₈×D₄	C₂³	1	1	yes	characteristic
534	C₈×D₄	C₂³	1	1	yes	characteristic
535	C₈×D₄	C₂³	1	1	yes	characteristic
536	C₈×D₄	C₂³	1	1	yes	characteristic
537	C₈×D₄	C₂³	1	1	yes	characteristic
538	#431	—	2	1	no	—
539	#431	—	2	1	no	—
540	#431	C₂³	1	1	yes	characteristic
541	#431	C₂³	1	1	yes	characteristic
542	#427	—	2	1	no	—
543	#427	—	2	1	no	—
544	#427	—	2	1	no	—
545	#427	D₄	1	1	yes	characteristic
546	C₂×#106	—	2	1	no	—
547	C₂×#106	D₄	1	1	yes	characteristic
548	C₂×C₄⋊C₈	—	2	1	no	—
549	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
550	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
551	#416	—	2	1	no	—
552	#416	—	2	1	no	—
553	#416	—	2	1	no	—
554	#416	—	2	1	no	—
555	#416	—	2	1	no	—
556	#416	—	2	1	no	—
557	#416	—	2	1	no	—
558	#416	—	2	1	no	—
559	#416	—	2	1	no	—
560	#416	—	2	1	no	—
561	#416	—	2	1	no	—
562	#416	—	2	1	no	—
563	#416	—	2	1	no	—
564	#416	—	2	1	no	—
565	#416	D₄	1	1	yes	characteristic
566	#416	D₄	1	1	yes	characteristic
567	C₂×#103	—	2	1	no	—
568	C₂×#103	—	2	1	no	—
569	C₂×#103	—	2	1	no	—
570	C₂×#103	D₄	1	1	yes	characteristic
571	C₂×#102	—	2	1	no	—
572	C₂×#102	—	2	1	no	—
573	C₂×#102	—	2	1	no	—
574	C₂×#102	D₄	1	1	yes	characteristic
575	C₂×C₂²⋊C₈	—	2	1	no	—
576	C₂×C₄×C₈	—	2	1	no	—
577	C₂×C₄×C₈	—	2	1	no	—
578	C₂×C₄×C₈	—	2	1	no	—
579	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
580	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
581	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
582	#335	C₂³	1	1	yes	characteristic
583	#335	C₂³	1	1	yes	characteristic
584	#334	C₂³	1	1	yes	characteristic
585	#334	C₂³	1	1	yes	characteristic
586	#334	C₂³	1	1	yes	characteristic
587	#334	C₂³	1	1	yes	characteristic
588	#334	C₂³	1	1	yes	characteristic
589	#334	C₂³	1	1	yes	characteristic
590	#333	C₂³	1	1	yes	characteristic
591	#333	C₂³	1	1	yes	characteristic
592	#333	C₂³	1	1	yes	characteristic
593	#333	C₂³	1	1	yes	characteristic
594	#332	C₂³	1	1	yes	characteristic
595	#332	C₂³	1	1	yes	characteristic
596	#332	C₂³	1	1	yes	characteristic
597	#332	C₂³	1	1	yes	characteristic
598	#332	C₂³	1	1	yes	characteristic
599	#332	C₂³	1	1	yes	characteristic
600	#332	C₂³	1	1	yes	characteristic
601	#332	C₂³	1	1	yes	characteristic
602	#331	C₂³	1	1	yes	characteristic
603	#331	C₂³	1	1	yes	characteristic
604	#331	C₂³	1	1	yes	characteristic
605	#331	C₂³	1	1	yes	characteristic
606	Q₈⋊C₈	C₂³	1	1	yes	characteristic
607	Q₈⋊C₈	C₂³	1	1	yes	characteristic
608	Q₈⋊C₈	C₂³	1	1	yes	characteristic
609	Q₈⋊C₈	C₂³	1	1	yes	characteristic
610	Q₈⋊C₈	C₂³	1	1	yes	characteristic
611	Q₈⋊C₈	C₂³	1	1	yes	characteristic
612	Q₈⋊C₈	C₂³	1	1	yes	characteristic
613	Q₈⋊C₈	C₂³	1	1	yes	characteristic
614	D₄⋊C₈	C₂³	1	1	yes	characteristic
615	D₄⋊C₈	C₂³	1	1	yes	characteristic
616	D₄⋊C₈	C₂³	1	1	yes	characteristic
617	D₄⋊C₈	C₂³	1	1	yes	characteristic
618	D₄⋊C₈	C₂³	1	1	yes	characteristic
619	D₄⋊C₈	C₂³	1	1	yes	characteristic
620	D₄⋊C₈	C₂³	1	1	yes	characteristic
621	D₄⋊C₈	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	—	2	1	no	—
629	C₂×#41	—	2	1	no	—
630	C₂×#41	—	2	1	no	—
631	C₂×#41	—	2	1	no	—
632	C₂×#41	—	4	1	no	—
633	C₂×#41	—	4	1	no	—
634	C₂×#41	—	4	4	no	—
635	C₂×#41	—	8	2	no	—
636	C₂×#41	C₂×D₄	1	1	yes	characteristic
637	C₂×#41	C₂×D₄	1	1	yes	characteristic
638	C₂²×Q₈	—	2	1	no	—
639	C₂²×Q₈	—	2	1	no	—
640	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	—	2	1	no	—
643	C₂²×D₄	—	4	1	no	—
644	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
645	C₂³×C₄	—	2	1	no	—
646	C₂³×C₄	—	4	1	no	—
647	#135	—	2	4	no	—
648	#135	—	4	4	no	—
649	#135	—	4	4	no	—
650	#135	—	8	2	no	—
651	C₂×Q₁₆	—	2	1	no	—
652	C₂×Q₁₆	—	2	1	no	—
653	C₂×Q₁₆	—	2	1	no	—
654	C₂×Q₁₆	—	2	1	no	—
655	C₂×Q₁₆	—	4	1	no	—
656	C₂×Q₁₆	C₂×D₄	1	1	yes	characteristic
657	C₂×SD₁₆	—	2	4	no	—
658	C₂×SD₁₆	—	2	1	no	—
659	C₂×SD₁₆	—	2	1	no	—
660	C₂×SD₁₆	—	2	1	no	—
661	C₂×SD₁₆	—	2	1	no	—
662	C₂×SD₁₆	—	2	1	no	—
663	C₂×SD₁₆	—	2	1	no	—
664	C₂×SD₁₆	—	2	1	no	—
665	C₂×SD₁₆	—	2	1	no	—
666	C₂×SD₁₆	—	2	1	no	—
667	C₂×SD₁₆	—	2	1	no	—
668	C₂×SD₁₆	—	2	1	no	—
669	C₂×SD₁₆	—	2	1	no	—
670	C₂×SD₁₆	—	4	4	no	—
671	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
672	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
673	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
674	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
675	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
676	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
677	C₂×D₈	—	2	1	no	—
678	C₂×D₈	—	2	1	no	—
679	C₂×D₈	—	2	1	no	—
680	C₂×D₈	—	2	1	no	—
681	C₂×D₈	—	4	1	no	—
682	C₂×D₈	C₂×D₄	1	1	yes	characteristic
683	C₂²×C₈	—	2	1	no	—
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	—	8	2	no	—
695	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
696	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
697	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
698	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
699	C₄⋊Q₈	—	2	1	no	—
700	C₄⋊Q₈	—	2	1	no	—
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	—	2	1	no	—
705	C₄⋊Q₈	—	4	1	no	—
706	C₄⋊Q₈	—	4	1	no	—
707	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
708	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
709	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
710	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
711	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
712	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
713	#127	—	2	1	no	—
714	#127	—	2	1	no	—
715	#127	C₂⁴	1	1	yes	characteristic
716	#127	C₂⁴	1	1	yes	characteristic
717	#126	—	4	1	no	—
718	#126	—	4	1	no	—
719	#126	—	4	1	no	—
720	#126	—	4	1	no	—
721	#126	—	4	1	no	—
722	#126	—	4	1	no	—
723	#125	—	2	1	no	—
724	#125	—	2	1	no	—
725	#125	—	2	1	no	—
726	#125	—	2	1	no	—
727	#125	—	2	1	no	—
728	#125	—	2	1	no	—
729	#125	—	4	1	no	—
730	#125	—	4	1	no	—
731	#125	—	4	1	no	—
732	#125	—	4	1	no	—
733	#125	—	4	1	no	—
734	#124	—	2	1	no	—
735	#124	—	2	1	no	—
736	#124	—	2	1	no	—
737	#124	—	2	1	no	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	4	1	no	—
741	#124	—	4	1	no	—
742	#124	—	4	1	no	—
743	#123	—	4	1	no	—
744	#123	—	4	1	no	—
745	#123	—	4	1	no	—
746	#123	—	4	1	no	—
747	#123	—	4	1	no	—
748	#123	—	4	1	no	—
749	#123	—	4	1	no	—
750	#123	—	4	1	no	—
751	#123	—	4	1	no	—
752	#123	—	4	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	—	2	1	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	4	1	no	—
766	C₂²⋊Q₈	—	4	1	no	—
767	C₂²⋊Q₈	—	4	1	no	—
768	C₂²⋊Q₈	—	4	1	no	—
769	C₂²⋊Q₈	—	4	1	no	—
770	C₂²⋊Q₈	—	4	1	no	—
771	C₂²⋊Q₈	—	4	1	no	—
772	C₂²⋊Q₈	—	4	1	no	—
773	C₂²⋊Q₈	—	4	1	no	—
774	C₂²⋊Q₈	—	4	1	no	—
775	C₂²⋊Q₈	—	4	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	1	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	—	4	1	no	—
789	#121	—	4	1	no	—
790	#121	—	4	1	no	—
791	#121	—	4	1	no	—
792	#121	—	4	1	no	—
793	#121	—	4	1	no	—
794	#121	—	4	1	no	—
795	#120	—	4	1	no	—
796	#120	—	4	1	no	—
797	#120	—	4	1	no	—
798	#120	—	4	1	no	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	—	2	1	no	—
801	C₄×Q₈	—	2	1	no	—
802	C₄×Q₈	—	2	1	no	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	—	2	1	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	1	no	—
808	C₄×Q₈	—	2	1	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	2	1	no	—
813	C₄×Q₈	—	4	1	no	—
814	C₄×Q₈	—	4	1	no	—
815	C₄×Q₈	—	4	1	no	—
816	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
817	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
818	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
819	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
820	C₄×Q₈	C₂⁴	1	1	yes	characteristic
821	C₄×Q₈	C₂⁴	1	1	yes	characteristic
822	C₄×Q₈	C₂⁴	1	1	yes	characteristic
823	C₄×Q₈	C₂⁴	1	1	yes	characteristic
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	1	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	4	1	no	—
843	C₄×D₄	—	4	1	no	—
844	C₄×D₄	—	4	1	no	—
845	C₄×D₄	—	4	1	no	—
846	C₄×D₄	—	4	1	no	—
847	C₄×D₄	—	4	1	no	—
848	C₄×D₄	—	4	1	no	—
849	C₄×D₄	—	4	1	no	—
850	C₄×D₄	—	4	1	no	—
851	C₄×D₄	—	4	1	no	—
852	C₄×D₄	—	4	1	no	—
853	C₄×D₄	—	4	1	no	—
854	C₄×D₄	—	4	1	no	—
855	C₄×D₄	C₂×D₄	1	1	yes	characteristic
856	C₄×D₄	C₂×D₄	1	1	yes	characteristic
857	C₄×D₄	C₂×D₄	1	1	yes	characteristic
858	C₄×D₄	C₂×D₄	1	1	yes	characteristic
859	C₄×D₄	C₂⁴	1	1	yes	characteristic
860	C₄×D₄	C₂⁴	1	1	yes	characteristic
861	C₄×D₄	C₂⁴	1	1	yes	characteristic
862	C₄×D₄	C₂⁴	1	1	yes	characteristic
863	#117	—	2	1	no	—
864	#117	—	2	1	no	—
865	#117	—	2	1	no	—
866	#117	—	2	1	no	—
867	#117	—	2	1	no	—
868	#117	—	2	1	no	—
869	#117	—	2	1	no	—
870	#117	—	2	1	no	—
871	#117	—	4	1	no	—
872	#117	—	4	1	no	—
873	#117	—	4	1	no	—
874	#117	—	4	1	no	—
875	#117	—	4	1	no	—
876	#117	—	4	1	no	—
877	#117	C₂×D₄	1	1	yes	characteristic
878	#117	C₂×D₄	1	1	yes	characteristic
879	C₂×C₄⋊C₄	—	2	1	no	—
880	C₂×C₄⋊C₄	—	2	1	no	—
881	C₂×C₄⋊C₄	—	2	1	no	—
882	C₂×C₄⋊C₄	—	2	1	no	—
883	C₂×C₄⋊C₄	—	2	1	no	—
884	C₂×C₄⋊C₄	—	4	1	no	—
885	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	—	2	1	no	—
888	C₂×C₂²⋊C₄	—	4	1	no	—
889	C₂×C₂²⋊C₄	—	4	1	no	—
890	C₂×C₄²	—	2	1	no	—
891	C₂×C₄²	—	2	1	no	—
892	C₂×C₄²	—	2	1	no	—
893	C₂×C₄²	—	4	1	no	—
894	C₂×C₄²	—	4	1	no	—
895	C₂×C₄²	—	4	1	no	—
896	C₂×C₄²	C₂⁴	1	1	yes	characteristic
897	#107	—	2	1	no	—
898	#107	—	2	1	no	—
899	#107	—	2	1	no	—
900	#107	—	2	1	no	—
901	#107	—	2	1	no	—
902	#107	—	2	1	no	—
903	#107	—	2	1	no	—
904	#107	—	2	1	no	—
905	#107	—	4	1	no	—
906	#107	—	4	1	no	—
907	#107	C₂×D₄	1	1	yes	characteristic
908	#107	C₂×D₄	1	1	yes	characteristic
909	#106	—	2	1	no	—
910	#106	—	2	1	no	—
911	#106	—	2	1	no	—
912	#106	—	2	1	no	—
913	#106	—	2	1	no	—
914	#106	—	2	1	no	—
915	#106	—	2	1	no	—
916	#106	—	2	1	no	—
917	#106	—	2	1	no	—
918	#106	—	2	1	no	—
919	#106	—	2	1	no	—
920	#106	—	2	1	no	—
921	#106	C₂×D₄	1	1	yes	characteristic
922	#106	C₂×D₄	1	1	yes	characteristic
923	#106	C₂×D₄	1	1	yes	characteristic
924	#106	C₂×D₄	1	1	yes	characteristic
925	#106	C₂×D₄	1	1	yes	characteristic
926	#106	C₂×D₄	1	1	yes	characteristic
927	C₄⋊C₈	—	2	1	no	—
928	C₄⋊C₈	—	2	1	no	—
929	C₄⋊C₈	—	2	1	no	—
930	C₄⋊C₈	—	2	1	no	—
931	C₄⋊C₈	—	2	1	no	—
932	C₄⋊C₈	—	2	1	no	—
933	C₄⋊C₈	—	2	1	no	—
934	C₄⋊C₈	—	2	1	no	—
935	C₄⋊C₈	—	2	1	no	—
936	C₄⋊C₈	—	2	1	no	—
937	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
938	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
939	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
940	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
941	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
942	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
943	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
944	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
945	#103	—	2	1	no	—
946	#103	—	2	1	no	—
947	#103	—	2	1	no	—
948	#103	—	2	1	no	—
949	#103	—	2	1	no	—
950	#103	—	2	1	no	—
951	#103	—	2	1	no	—
952	#103	—	2	1	no	—
953	#103	—	2	1	no	—
954	#103	—	2	1	no	—
955	#103	—	2	1	no	—
956	#103	—	2	1	no	—
957	#103	—	2	1	no	—
958	#103	—	2	1	no	—
959	#103	—	2	1	no	—
960	#103	—	2	1	no	—
961	#103	—	2	1	no	—
962	#103	—	2	1	no	—
963	#103	—	2	1	no	—
964	#103	—	2	1	no	—
965	#103	—	2	1	no	—
966	#103	—	2	1	no	—
967	#103	—	2	1	no	—
968	#103	—	2	1	no	—
969	#103	—	2	1	no	—
970	#103	—	2	1	no	—
971	#103	—	2	1	no	—
972	#103	—	2	1	no	—
973	#103	—	4	1	no	—
974	#103	—	4	1	no	—
975	#103	C₂×D₄	1	1	yes	characteristic
976	#103	C₂×D₄	1	1	yes	characteristic
977	#103	C₂×D₄	1	1	yes	characteristic
978	#103	C₂×D₄	1	1	yes	characteristic
979	#103	C₂×D₄	1	1	yes	characteristic
980	#103	C₂×D₄	1	1	yes	characteristic
981	#103	C₂×D₄	1	1	yes	characteristic
982	#103	C₂×D₄	1	1	yes	characteristic
983	#102	—	2	1	no	—
984	#102	—	2	1	no	—
985	#102	—	2	1	no	—
986	#102	—	2	1	no	—
987	#102	—	2	1	no	—
988	#102	—	2	1	no	—
989	#102	—	2	1	no	—
990	#102	—	2	1	no	—
991	#102	—	2	1	no	—
992	#102	—	2	1	no	—
993	#102	—	2	1	no	—
994	#102	—	2	1	no	—
995	#102	—	2	1	no	—
996	#102	—	2	1	no	—
997	#102	—	2	1	no	—
998	#102	—	2	1	no	—
999	#102	—	2	1	no	—
1000	#102	—	2	1	no	—
1001	#102	—	2	1	no	—
1002	#102	—	2	1	no	—
1003	#102	—	2	1	no	—
1004	#102	—	2	1	no	—
1005	#102	—	2	1	no	—
1006	#102	—	2	1	no	—
1007	#102	—	2	1	no	—
1008	#102	—	2	1	no	—
1009	#102	—	2	1	no	—
1010	#102	—	2	1	no	—
1011	#102	—	4	1	no	—
1012	#102	—	4	1	no	—
1013	#102	C₂×D₄	1	1	yes	characteristic
1014	#102	C₂×D₄	1	1	yes	characteristic
1015	#102	C₂×D₄	1	1	yes	characteristic
1016	#102	C₂×D₄	1	1	yes	characteristic
1017	#102	C₂×D₄	1	1	yes	characteristic
1018	#102	C₂×D₄	1	1	yes	characteristic
1019	#102	C₂×D₄	1	1	yes	characteristic
1020	#102	C₂×D₄	1	1	yes	characteristic
1021	C₂²⋊C₈	—	2	1	no	—
1022	C₂²⋊C₈	—	2	1	no	—
1023	C₂²⋊C₈	—	2	1	no	—
1024	C₂²⋊C₈	—	2	1	no	—
1025	C₂²⋊C₈	—	2	1	no	—
1026	C₂²⋊C₈	—	2	1	no	—
1027	C₂²⋊C₈	—	2	1	no	—
1028	C₂²⋊C₈	—	2	1	no	—
1029	C₂²⋊C₈	—	2	1	no	—
1030	C₂²⋊C₈	—	2	1	no	—
1031	C₄×C₈	—	2	1	no	—
1032	C₄×C₈	—	2	1	no	—
1033	C₄×C₈	—	2	1	no	—
1034	C₄×C₈	—	2	1	no	—
1035	C₄×C₈	—	2	1	no	—
1036	C₄×C₈	—	2	1	no	—
1037	C₄×C₈	—	2	1	no	—
1038	C₄×C₈	—	2	1	no	—
1039	C₄×C₈	—	2	1	no	—
1040	C₄×C₈	—	2	1	no	—
1041	C₄×C₈	—	2	1	no	—
1042	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1043	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1044	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1045	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1046	C₄×C₈	C₂⁴	1	1	yes	characteristic
1047	C₄×C₈	C₂⁴	1	1	yes	characteristic
1048	C₄×C₈	C₂⁴	1	1	yes	characteristic
1049	C₄×C₈	C₂⁴	1	1	yes	characteristic
1050	C₄×C₈	C₂⁴	1	1	yes	characteristic
1051	C₄×C₈	C₂⁴	1	1	yes	characteristic
1052	C₂⁴	—	2	1	no	—
1053	C₂⁴	—	4	1	no	—
1054	#41	—	2	2	no	—
1055	#41	—	2	2	no	—
1056	#41	—	2	2	no	—
1057	#41	—	4	2	no	—
1058	#41	—	4	2	no	—
1059	#41	—	4	2	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	2	no	—
1062	#41	—	4	2	no	—
1063	#41	—	4	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	8	4	no	—
1066	#41	—	8	1	no	—
1067	#41	—	8	1	no	—
1068	#41	—	8	4	no	—
1069	#41	—	8	1	no	—
1070	#41	—	8	1	no	—
1071	#41	#135	1	4	yes	complemented
1072	C₂×Q₈	—	2	1	no	—
1073	C₂×Q₈	—	2	2	no	—
1074	C₂×Q₈	—	2	1	no	—
1075	C₂×Q₈	—	2	1	no	—
1076	C₂×Q₈	—	2	1	no	—
1077	C₂×Q₈	—	2	1	no	—
1078	C₂×Q₈	—	2	1	no	—
1079	C₂×Q₈	—	2	1	no	—
1080	C₂×Q₈	—	4	1	no	—
1081	C₂×Q₈	—	4	1	no	—
1082	C₂×Q₈	—	4	1	no	—
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	2	no	—
1085	C₂×Q₈	—	4	2	no	—
1086	C₂×Q₈	—	8	1	no	—
1087	C₂×Q₈	—	8	1	no	—
1088	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1089	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1090	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1091	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	1	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	1	no	—
1097	C₂×D₄	—	2	1	no	—
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	4	1	no	—
1103	C₂×D₄	—	4	1	no	—
1104	C₂×D₄	—	4	1	no	—
1105	C₂×D₄	—	4	1	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	2	no	—
1110	C₂×D₄	—	4	2	no	—
1111	C₂×D₄	—	4	1	no	—
1112	C₂×D₄	—	4	1	no	—
1113	C₂×D₄	—	4	1	no	—
1114	C₂×D₄	—	4	1	no	—
1115	C₂×D₄	—	4	1	no	—
1116	C₂×D₄	—	8	1	no	—
1117	C₂×D₄	—	8	1	no	—
1118	C₂×D₄	—	8	4	no	—
1119	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1120	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1121	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1122	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1123	C₂²×C₄	—	2	1	no	—
1124	C₂²×C₄	—	2	1	no	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	1	no	—
1134	C₂²×C₄	—	2	1	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	2	no	—
1146	C₂²×C₄	—	4	2	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	8	4	no	—
1150	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1151	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1152	C₂²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1153	Q₁₆	—	2	2	no	—
1154	Q₁₆	—	4	2	no	—
1155	Q₁₆	—	4	2	no	—
1156	Q₁₆	—	8	2	no	—
1157	Q₁₆	—	8	1	no	—
1158	Q₁₆	—	8	1	no	—
1159	SD₁₆	—	2	2	no	—
1160	SD₁₆	—	2	2	no	—
1161	SD₁₆	—	2	2	no	—
1162	SD₁₆	—	2	2	no	—
1163	SD₁₆	—	2	2	no	—
1164	SD₁₆	—	4	2	no	—
1165	SD₁₆	—	4	2	no	—
1166	SD₁₆	—	4	2	no	—
1167	SD₁₆	—	4	2	no	—
1168	SD₁₆	—	4	2	no	—
1169	SD₁₆	—	4	2	no	—
1170	SD₁₆	—	8	1	no	—
1171	SD₁₆	—	8	1	no	—
1172	SD₁₆	—	8	1	no	—
1173	SD₁₆	—	8	1	no	—
1174	SD₁₆	—	8	1	no	—
1175	SD₁₆	—	8	1	no	—
1176	SD₁₆	#135	1	4	yes	complemented
1177	D₈	—	2	2	no	—
1178	D₈	—	4	2	no	—
1179	D₈	—	4	2	no	—
1180	D₈	—	8	2	no	—
1181	D₈	—	8	1	no	—
1182	D₈	—	8	1	no	—
1183	C₂×C₈	—	2	2	no	—
1184	C₂×C₈	—	2	2	no	—
1185	C₂×C₈	—	2	1	no	—
1186	C₂×C₈	—	2	2	no	—
1187	C₂×C₈	—	2	1	no	—
1188	C₂×C₈	—	2	1	no	—
1189	C₂×C₈	—	2	1	no	—
1190	C₂×C₈	—	2	1	no	—
1191	C₂×C₈	—	2	1	no	—
1192	C₂×C₈	—	2	1	no	—
1193	C₂×C₈	—	2	1	no	—
1194	C₂×C₈	—	2	1	no	—
1195	C₂×C₈	—	2	1	no	—
1196	C₂×C₈	—	4	1	no	—
1197	C₂×C₈	—	4	2	no	—
1198	C₂×C₈	—	4	2	no	—
1199	C₂×C₈	—	4	2	no	—
1200	C₂×C₈	—	4	2	no	—
1201	C₂×C₈	—	4	2	no	—
1202	C₂×C₈	—	8	1	no	—
1203	C₂×C₈	—	8	1	no	—
1204	C₂×C₈	—	8	1	no	—
1205	C₂×C₈	—	8	1	no	—
1206	C₂×C₈	—	8	1	no	—
1207	C₂×C₈	—	8	1	no	—
1208	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1209	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1210	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1211	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1212	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1213	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1214	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1215	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
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	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	4	1	no	—
1246	C₄⋊C₄	—	4	1	no	—
1247	C₄⋊C₄	—	4	1	no	—
1248	C₄⋊C₄	—	4	1	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	4	1	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₄⋊C₄	—	4	1	no	—
1257	C₄⋊C₄	—	4	1	no	—
1258	C₄⋊C₄	—	4	1	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1261	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1262	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1263	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1264	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1265	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1266	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1267	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
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	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₄²	—	2	1	no	—
1303	C₄²	—	2	1	no	—
1304	C₄²	—	2	1	no	—
1305	C₄²	—	2	1	no	—
1306	C₄²	—	2	1	no	—
1307	C₄²	—	2	1	no	—
1308	C₄²	—	2	1	no	—
1309	C₄²	—	2	1	no	—
1310	C₄²	—	2	1	no	—
1311	C₄²	—	2	1	no	—
1312	C₄²	—	4	1	no	—
1313	C₄²	—	4	1	no	—
1314	C₄²	—	4	1	no	—
1315	C₄²	—	4	1	no	—
1316	C₄²	—	4	1	no	—
1317	C₄²	—	4	1	no	—
1318	C₄²	—	4	1	no	—
1319	C₄²	—	4	1	no	—
1320	C₄²	C₂²×D₄	1	1	yes	characteristic
1321	C₄²	C₂²×D₄	1	1	yes	characteristic
1322	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1323	C₄²	C₂⁵	1	1	yes	characteristic
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	4	2	no	—
1329	C₂³	—	4	2	no	—
1330	C₂³	—	4	1	no	—
1331	C₂³	—	4	1	no	—
1332	C₂³	—	8	1	no	—
1333	C₂³	—	8	2	no	—
1334	C₂³	—	8	2	no	—
1335	C₂³	—	16	1	no	—
1336	C₂³	D₄²	1	1	yes	characteristic
1337	Q₈	—	2	1	no	—
1338	Q₈	—	2	1	no	—
1339	Q₈	—	2	1	no	—
1340	Q₈	—	2	1	no	—
1341	Q₈	—	2	1	no	—
1342	Q₈	—	2	1	no	—
1343	Q₈	—	4	2	no	—
1344	Q₈	—	4	1	no	—
1345	Q₈	—	4	1	no	—
1346	Q₈	—	4	1	no	—
1347	Q₈	—	4	1	no	—
1348	Q₈	—	4	1	no	—
1349	Q₈	—	4	1	no	—
1350	Q₈	—	4	1	no	—
1351	Q₈	—	4	1	no	—
1352	Q₈	—	8	2	no	—
1353	Q₈	—	8	2	no	—
1354	Q₈	—	8	1	no	—
1355	Q₈	—	8	1	no	—
1356	Q₈	—	16	1	no	—
1357	Q₈	C₂×#135	1	2	yes	—
1358	Q₈	C₂×#135	1	2	yes	—
1359	D₄	—	2	4	no	—
1360	D₄	—	2	1	no	—
1361	D₄	—	2	1	no	—
1362	D₄	—	2	1	no	—
1363	D₄	—	2	1	no	—
1364	D₄	—	2	1	no	—
1365	D₄	—	2	1	no	—
1366	D₄	—	4	2	no	—
1367	D₄	—	4	2	no	—
1368	D₄	—	4	1	no	—
1369	D₄	—	4	1	no	—
1370	D₄	—	4	1	no	—
1371	D₄	—	4	1	no	—
1372	D₄	—	4	1	no	—
1373	D₄	—	4	1	no	—
1374	D₄	—	4	1	no	—
1375	D₄	—	4	1	no	—
1376	D₄	—	8	2	no	—
1377	D₄	—	8	2	no	—
1378	D₄	—	8	1	no	—
1379	D₄	—	8	1	no	—
1380	D₄	—	8	2	no	—
1381	D₄	—	8	2	no	—
1382	D₄	—	8	2	no	—
1383	D₄	—	8	2	no	—
1384	D₄	—	8	2	no	—
1385	D₄	—	8	2	no	—
1386	D₄	—	16	1	no	—
1387	D₄	—	16	1	no	—
1388	D₄	—	16	1	no	—
1389	D₄	C₂×#135	1	2	yes	—
1390	D₄	C₂×#135	1	2	yes	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	4	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	4	1	no	—
1407	C₂×C₄	—	4	2	no	—
1408	C₂×C₄	—	4	2	no	—
1409	C₂×C₄	—	4	1	no	—
1410	C₂×C₄	—	4	1	no	—
1411	C₂×C₄	—	4	2	no	—
1412	C₂×C₄	—	4	2	no	—
1413	C₂×C₄	—	4	2	no	—
1414	C₂×C₄	—	4	1	no	—
1415	C₂×C₄	—	4	1	no	—
1416	C₂×C₄	—	4	1	no	—
1417	C₂×C₄	—	4	1	no	—
1418	C₂×C₄	—	4	1	no	—
1419	C₂×C₄	—	4	1	no	—
1420	C₂×C₄	—	4	1	no	—
1421	C₂×C₄	—	4	1	no	—
1422	C₂×C₄	—	4	1	no	—
1423	C₂×C₄	—	4	1	no	—
1424	C₂×C₄	—	4	1	no	—
1425	C₂×C₄	—	4	1	no	—
1426	C₂×C₄	—	8	1	no	—
1427	C₂×C₄	—	8	1	no	—
1428	C₂×C₄	—	8	2	no	—
1429	C₂×C₄	—	8	2	no	—
1430	C₂×C₄	—	8	2	no	—
1431	C₂×C₄	—	8	2	no	—
1432	C₂×C₄	—	8	1	no	—
1433	C₂×C₄	—	8	2	no	—
1434	C₂×C₄	—	8	2	no	—
1435	C₂×C₄	—	8	2	no	—
1436	C₂×C₄	—	8	2	no	—
1437	C₂×C₄	—	16	1	no	—
1438	C₂×C₄	—	16	1	no	—
1439	C₂×C₄	—	16	1	no	—
1440	C₂×C₄	D₄²	1	1	yes	characteristic
1441	C₂×C₄	D₄²	1	1	yes	characteristic
1442	C₂×C₄	D₄²	1	1	yes	characteristic
1443	C₂×C₄	C₂×#135	1	2	yes	—
1444	C₂×C₄	#577	1	2	yes	—
1445	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1446	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1447	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1448	C₈	—	2	2	no	—
1449	C₈	—	2	1	no	—
1450	C₈	—	2	1	no	—
1451	C₈	—	2	1	no	—
1452	C₈	—	2	1	no	—
1453	C₈	—	2	1	no	—
1454	C₈	—	2	1	no	—
1455	C₈	—	2	1	no	—
1456	C₈	—	4	1	no	—
1457	C₈	—	4	1	no	—
1458	C₈	—	4	1	no	—
1459	C₈	—	4	1	no	—
1460	C₈	—	4	1	no	—
1461	C₈	—	4	1	no	—
1462	C₈	—	4	1	no	—
1463	C₈	—	4	1	no	—
1464	C₈	—	4	1	no	—
1465	C₈	C₂×#135	1	2	yes	—
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	8	4	no	—
1481	C₂²	—	8	1	no	—
1482	C₂²	—	8	1	no	—
1483	C₂²	—	8	1	no	—
1484	C₂²	—	8	1	no	—
1485	C₂²	—	8	1	no	—
1486	C₂²	—	8	1	no	—
1487	C₂²	—	16	4	no	—
1488	C₂²	#3282	1	2	yes	—
1489	C₂²	C₂×D₄²	1	1	yes	characteristic
1490	C₄	—	2	2	no	—
1491	C₄	—	2	1	no	—
1492	C₄	—	2	2	no	—
1493	C₄	—	2	1	no	—
1494	C₄	—	2	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	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	8	1	no	—
1506	C₄	—	8	1	no	—
1507	C₄	—	8	1	no	—
1508	C₄	—	8	1	no	—
1509	C₄	—	8	1	no	—
1510	C₄	—	8	1	no	—
1511	C₄	#3282	1	2	yes	—
1512	C₄	C₂²×#135	1	1	yes	characteristic
1513	C₄	C₂²×#135	1	1	yes	characteristic
1514	C₄	C₂×#577	1	1	yes	characteristic
1515	C₄	#3584	1	1	yes	characteristic
1516	C₂	—	2	2	no	—
1517	C₂	—	4	2	no	—
1518	C₂	—	4	2	no	—
1519	C₂	—	8	1	no	—
1520	C₂	—	8	1	no	—
1521	C₂	—	16	1	no	—
1522	C₂	—	16	1	no	—
1523	C₂	C₂×#3282	1	1	yes	characteristic
1524	C₂	D₄×#135	1	1	yes	characteristic
1525	C₂	#61105	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄²
commutator, Frattini, cosocle	C₄²	C₂⁵
socle	C₂²	C₂×D₄²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #61428	C₂	semidirect
2. SD₁₆×#41	C₂	semidirect
3. #61303	C₂	semidirect
4. #61124	C₂	semidirect
5. #20005	C₂	semidirect
6. #20004	C₂	semidirect
7. #20003	C₂	semidirect
8. #20002	C₂	semidirect
9. #20001	C₂	semidirect
10. #20000	C₂	semidirect
11. #19999	C₂	semidirect
12. #19998	C₂	semidirect
13. #19998	C₂	semidirect
14. #19997	C₂	semidirect
15. #19996	C₂	semidirect
16. #19991	C₂	semidirect
17. #19988	C₂	semidirect
18. #19981	C₂	semidirect
19. #19978	C₂	semidirect
20. #19970	C₂	semidirect
21. #19600	C₂	semidirect
22. #19124	C₂	semidirect
23. #19124	C₂	semidirect
24. #19123	C₂	semidirect
25. #19110	C₂	semidirect
26. #18523	C₂	semidirect
27. #18520	C₂	semidirect
28. #18519	C₂	semidirect
29. #18516	C₂	semidirect
30. C₈×#135	C₂	semidirect
31. C₂×C₈×SD₁₆	C₂	semidirect
32. #3480	C₂²	semidirect
36. #3394	C₂²	semidirect
41. #3365	C₂²	semidirect
43. #3364	C₂²	semidirect
44. #3364	C₂²	semidirect
45. #3363	C₂²	semidirect
47. #3362	C₂²	semidirect
50. #3361	C₂²	semidirect
52. #3360	C₂²	semidirect
54. #3359	C₂²	semidirect
55. #3358	C₂²	semidirect
56. #3340	C₂²	semidirect
61. #3305	C₂²	semidirect
84. #3170	C₂²	semidirect
89. #3167	C₂²	semidirect
92. #3131	C₂²	semidirect
93. #3104	C₂²	semidirect
104. #3076	C₂²	semidirect
111. C₈×#41	C₂²	semidirect
112. C₂×C₈×Q₈	C₂²	semidirect
120. #1711	C₂²	semidirect
121. #1711	C₂²	semidirect
122. #1710	C₂²	semidirect
123. #1709	C₂²	semidirect
124. #1708	C₂²	semidirect
125. #1708	C₂²	semidirect
126. #1707	C₂²	semidirect
127. #1706	C₂²	semidirect
128. #1684	C₂²	semidirect
129. #1684	C₂²	semidirect
131. #1683	C₂²	semidirect
132. #1682	C₂²	semidirect
133. #1682	C₂²	semidirect
135. #1681	C₂²	semidirect
136. #1680	C₂²	semidirect
137. #1680	C₂²	semidirect
138. #1680	C₂²	semidirect
139. #1680	C₂²	semidirect
141. #1679	C₂²	semidirect
142. #1679	C₂²	semidirect
143. #1679	C₂²	semidirect
144. #1678	C₂²	semidirect
145. #1678	C₂²	semidirect
146. #1678	C₂²	semidirect
147. #1678	C₂²	semidirect
149. #1677	C₂²	semidirect
150. #1677	C₂²	semidirect
151. #1677	C₂²	semidirect
152. #1672	C₂²	semidirect
153. #1672	C₂²	semidirect
154. #1671	C₂²	semidirect
155. #1671	C₂²	semidirect
156. #1666	C₂²	semidirect
157. #1666	C₂²	semidirect
158. #1665	C₂²	semidirect
159. #1665	C₂²	semidirect
160. #1650	C₂²	semidirect
161. #1650	C₂²	semidirect
163. #1649	C₂²	semidirect
164. #1648	C₂²	semidirect
165. #1648	C₂²	semidirect
168. #1646	C₂²	semidirect
169. #1645	C₂²	semidirect
170. #1644	C₂²	semidirect
172. #1642	C₂²	semidirect
174. #1640	C₂²	semidirect
176. #1638	C₂²	semidirect
177. #1637	C₂²	semidirect
178. #1636	C₂²	semidirect
180. #1634	C₂²	semidirect
181. #1633	C₂²	semidirect
183. #1632	C₂²	semidirect
184. #1628	C₂²	semidirect
186. #1626	C₂²	semidirect
189. #1621	C₂²	semidirect
190. #1620	C₂²	semidirect
192. C₈×Q₁₆	C₂²	semidirect
193. C₈×Q₁₆	C₂²	semidirect
198. C₈×SD₁₆	C₂²	semidirect
199. C₈×SD₁₆	C₂²	semidirect
200. C₈×SD₁₆	C₂²	semidirect
201. C₈×SD₁₆	C₂²	semidirect
202. C₈×SD₁₆	C₂²	semidirect
203. C₈×SD₁₆	C₂²	semidirect
204. C₈×SD₁₆	C₂²	semidirect
205. C₈×SD₁₆	C₂²	semidirect
206. C₈×D₈	C₂²	semidirect
207. C₈×D₈	C₂²	semidirect
208. #1564	C₂²	semidirect
209. C₂×#334	C₂²	semidirect
210. #1542	C₂²	semidirect
211. #1542	C₂²	semidirect
213. #1540	C₂²	semidirect
215. #1476	C₂²	semidirect
216. C₂×Q₈⋊C₈	C₂²	semidirect
218. C₂×C₈²	C₂²	semidirect
1071. #41	#135	semidirect
1176. SD₁₆	#135	semidirect

Maximal subgroups

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

subgroup	index
#61428	2
SD₁₆×#41	2
#61303	2
#61124	2
#20005	2
#20004	2
#20003	2
#20002	2
#20001	2
#20000	2
#19999	2
#19998	2
#19997	2
#19996	2
#19991	2
#19988	2
#19981	2
#19978	2
#19970	2
#19600	2
#19124	2
#19123	2
#19110	2
#18523	2
#18520	2
#18519	2
#18516	2
C₈×#135	2
C₂×C₈×SD₁₆	2