Subgroups — #11705519

Order 768.

8078 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
2	#87239	C₂	1	2	yes	maximal, complemented
3	#87239	C₂	1	4	yes	maximal, complemented
4	C₂×#5805	C₂	1	2	yes	maximal, complemented
5	#86625	C₂	1	2	yes	maximal, complemented
6	#86625	C₂	1	2	yes	maximal, complemented
7	#86624	C₂	1	2	yes	maximal, complemented
8	#86623	C₂	1	4	yes	maximal, complemented
9	#86621	C₂	1	2	yes	maximal, complemented
10	#86618	C₂	1	4	yes	maximal, complemented
11	#86617	C₂	1	2	yes	maximal, complemented
12	#86616	C₂	1	4	yes	maximal, complemented
13	#86615	C₂	1	4	yes	maximal, complemented
14	#86612	C₂	1	2	yes	maximal, complemented
15	#86610	C₂	1	2	yes	maximal, complemented
16	#86608	C₂	1	2	yes	maximal, complemented
17	#86195	C₂	1	1	yes	maximal, characteristic, complemented
18	#86190	C₂	1	1	yes	maximal, characteristic, complemented
19	#85956	C₂	1	4	yes	maximal, complemented
20	#85949	C₂	1	2	yes	maximal, complemented
21	#85936	C₂	1	2	yes	maximal, complemented
22	#85921	C₂	1	8	yes	maximal, complemented
23	#85788	C₂	1	1	yes	maximal, characteristic, complemented
24	D₄×#235	C₂	1	1	yes	maximal, characteristic, complemented
25	#85777	C₂	1	1	yes	maximal, characteristic, complemented
26	#85764	C₂	1	1	yes	maximal, characteristic, complemented
27	#62912	—	3	1	no	maximal, Sylow
28	C₂³×C₃×D₄	C₂²	1	2	yes	complemented
29	C₂³×C₃×D₄	C₂²	1	2	yes	complemented
30	C₂×#1004	C₂²	1	2	yes	complemented
31	C₂×#1004	C₂²	1	4	yes	complemented
32	C₂²×#235	C₂²	1	2	yes	complemented
33	C₃×D₄²	C₂²	1	2	yes	complemented
34	C₃×D₄²	C₂²	1	2	yes	complemented
35	C₃×D₄²	C₂²	1	4	yes	complemented
36	C₃×D₄²	C₂²	1	4	yes	complemented
37	C₃×D₄²	C₂²	1	2	yes	complemented
38	C₃×D₄²	C₂²	1	2	yes	complemented
39	C₂×C₃×#127	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#121	C₂²	1	2	yes	complemented
41	C₂×C₃×#121	C₂²	1	2	yes	complemented
42	C₂×C₃×#120	C₂²	1	4	yes	complemented
43	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×#953	C₂²	1	8	yes	complemented
46	C₂×#953	C₂²	1	8	yes	complemented
47	#5806	C₂²	1	2	yes	complemented
48	#5806	C₂²	1	4	yes	complemented
49	#5806	C₂²	1	8	yes	complemented
50	#5806	C₂²	1	4	yes	complemented
51	#5806	C₂²	1	4	yes	complemented
52	#5806	C₂²	1	8	yes	complemented
53	#5806	C₂²	1	4	yes	complemented
54	#5806	C₂²	1	4	yes	complemented
55	#5806	C₂²	1	4	yes	complemented
56	#5806	C₂²	1	4	yes	complemented
57	#5806	C₂²	1	4	yes	complemented
58	#5805	C₂²	1	1	yes	characteristic, complemented
59	#5805	C₂²	1	1	yes	characteristic, complemented
60	#5805	C₂²	1	2	yes	complemented
61	#5805	C₂²	1	8	yes	complemented
62	#5805	C₂²	1	2	yes	complemented
63	#5805	C₂²	1	2	yes	complemented
64	#5805	C₂²	1	4	yes	complemented
65	#5805	C₂²	1	4	yes	complemented
66	#5805	C₂²	1	4	yes	complemented
67	#5805	C₂²	1	4	yes	complemented
68	#5805	C₂²	1	4	yes	complemented
69	#5805	C₂²	1	4	yes	complemented
70	#5804	C₂²	1	8	yes	complemented
71	#5804	C₂²	1	8	yes	complemented
72	#5804	C₂²	1	8	yes	complemented
73	C₂×#940	C₂²	1	4	yes	complemented
74	D₄×#67	C₂²	1	2	yes	complemented
75	D₄×#67	C₂²	1	4	yes	complemented
76	D₄×#67	C₂²	1	8	yes	complemented
77	D₄×#67	C₂²	1	4	yes	complemented
78	D₄×#67	C₂²	1	4	yes	complemented
79	D₄×#67	C₂²	1	8	yes	complemented
80	D₄×#67	C₂²	1	4	yes	complemented
81	D₄×#67	C₂²	1	4	yes	complemented
82	D₄×#67	C₂²	1	4	yes	complemented
83	D₄×#67	C₂²	1	4	yes	complemented
84	D₄×#67	C₂²	1	4	yes	complemented
85	C₂×#938	C₂²	1	4	yes	complemented
86	C₂×#938	C₂²	1	4	yes	complemented
87	#5798	C₂²	1	2	yes	complemented
88	#5798	C₂²	1	4	yes	complemented
89	C₂×#936	C₂²	1	4	yes	complemented
90	#5791	C₂²	1	4	yes	complemented
91	#5791	C₂²	1	4	yes	complemented
92	#5791	C₂²	1	2	yes	complemented
93	#5791	C₂²	1	2	yes	complemented
94	C₂×#926	C₂²	1	2	yes	complemented
95	#5719	C₂²	1	4	yes	complemented
96	#5718	C₂²	1	2	yes	complemented
97	#5718	C₂²	1	2	yes	complemented
98	#5718	C₂²	1	2	yes	complemented
99	#5718	C₂²	1	2	yes	complemented
100	#5717	C₂²	1	2	yes	complemented
101	#5717	C₂²	1	2	yes	complemented
102	#5716	C₂²	1	2	yes	complemented
103	#5716	C₂²	1	2	yes	complemented
104	#5716	C₂²	1	2	yes	complemented
105	#5715	C₂²	1	4	yes	complemented
106	D₃×#127	C₂²	1	2	yes	complemented
107	#5713	C₂²	1	2	yes	complemented
108	#5713	C₂²	1	2	yes	complemented
109	#5621	C₂²	1	8	yes	complemented
110	#5620	C₂²	1	8	yes	complemented
111	#5619	C₂²	1	4	yes	complemented
112	#5619	C₂²	1	4	yes	complemented
113	#5618	C₂²	1	4	yes	complemented
114	#5616	C₂²	1	4	yes	complemented
115	#5616	C₂²	1	4	yes	complemented
116	#5615	C₂²	1	8	yes	complemented
117	#5614	C₂²	1	4	yes	complemented
118	#5614	C₂²	1	4	yes	complemented
119	#5613	C₂²	1	8	yes	complemented
120	#5612	C₂²	1	4	yes	complemented
121	#5612	C₂²	1	4	yes	complemented
122	#5611	C₂²	1	4	yes	complemented
123	#5609	C₂²	1	4	yes	complemented
124	#5608	C₂²	1	4	yes	complemented
125	#5608	C₂²	1	4	yes	complemented
126	#5607	C₂²	1	4	yes	complemented
127	#5607	C₂²	1	4	yes	complemented
128	#5606	C₂²	1	4	yes	complemented
129	D₃×#121	C₂²	1	4	yes	complemented
130	#5603	C₂²	1	4	yes	complemented
131	#5603	C₂²	1	4	yes	complemented
132	#5600	C₂²	1	4	yes	complemented
133	#5599	C₂²	1	4	yes	complemented
134	#5599	C₂²	1	4	yes	complemented
135	#5598	C₂²	1	4	yes	complemented
136	#5596	C₂²	1	4	yes	complemented
137	#5595	C₂²	1	8	yes	complemented
138	#5595	C₂²	1	8	yes	complemented
139	#5595	C₂²	1	8	yes	complemented
140	#5594	C₂²	1	8	yes	complemented
141	#5593	C₂²	1	8	yes	complemented
142	#5593	C₂²	1	8	yes	complemented
143	#5593	C₂²	1	8	yes	complemented
144	#5593	C₂²	1	8	yes	complemented
145	#5592	C₂²	1	8	yes	complemented
146	#5592	C₂²	1	8	yes	complemented
147	#5591	C₂²	1	8	yes	complemented
148	#5591	C₂²	1	8	yes	complemented
149	#5590	C₂²	1	8	yes	complemented
150	#5589	C₂²	1	8	yes	complemented
151	#5589	C₂²	1	8	yes	complemented
152	#5587	C₂²	1	8	yes	complemented
153	#5565	C₂²	1	2	yes	complemented
154	#5563	C₂²	1	1	yes	characteristic, complemented
155	#5563	C₂²	1	2	yes	complemented
156	#5562	C₂²	1	2	yes	complemented
157	#5562	C₂²	1	2	yes	complemented
158	#5561	C₂²	1	2	yes	complemented
159	#5561	C₂²	1	2	yes	complemented
160	#5559	C₂²	1	4	yes	complemented
161	#5558	C₂²	1	4	yes	complemented
162	#5557	C₂²	1	2	yes	complemented
163	#5557	C₂²	1	2	yes	complemented
164	#5557	C₂²	1	2	yes	complemented
165	#5555	C₂²	1	1	yes	characteristic, complemented
166	#5553	C₂²	1	1	yes	characteristic, complemented
167	#5553	C₂²	1	2	yes	complemented
168	#5552	C₂²	1	2	yes	complemented
169	#5551	C₂²	1	1	yes	characteristic, complemented
170	#5551	C₂²	1	2	yes	complemented
171	#5550	C₂²	1	2	yes	complemented
172	D₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
173	#5548	C₂²	1	2	yes	complemented
174	#5548	C₂²	1	2	yes	complemented
175	#5548	C₂²	1	2	yes	complemented
176	#5547	C₂²	1	4	yes	complemented
177	C₄×D₃×D₄	C₂²	1	2	yes	complemented
178	#5543	C₂²	1	1	yes	characteristic, complemented
179	#5542	C₂²	1	1	yes	characteristic, complemented
180	#5542	C₂²	1	2	yes	complemented
181	#5541	C₂²	1	2	yes	complemented
182	#5538	C₂²	1	4	yes	complemented
183	D₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×#237	C₂²	1	2	yes	complemented
185	#5513	C₂²	1	2	yes	complemented
186	#5510	C₂²	1	1	yes	characteristic, complemented
187	#5507	C₂²	1	2	yes	complemented
188	#5504	C₂²	1	2	yes	complemented
189	#5500	C₂²	1	1	yes	characteristic, complemented
190	#5495	C₂²	1	4	yes	complemented
191	#5495	C₂²	1	8	yes	complemented
192	#5494	C₂²	1	4	yes	complemented
193	#5494	C₂²	1	4	yes	complemented
194	#5490	C₂²	1	4	yes	complemented
195	#5490	C₂²	1	8	yes	complemented
196	#5477	C₂²	1	1	yes	characteristic, complemented
197	C₄×#235	C₂²	1	1	yes	characteristic, complemented
198	C₄×#235	C₂²	1	1	yes	characteristic, complemented
199	#5470	C₂²	1	1	yes	characteristic, complemented
200	#3558	—	3	4	no	—
201	#3549	—	3	2	no	—
202	#3546	—	3	2	no	—
203	#3546	—	3	2	no	—
204	#3543	—	3	4	no	—
205	#3543	—	3	2	no	—
206	#3542	—	3	4	no	—
207	#3542	—	3	4	no	—
208	#3537	—	3	4	no	—
209	#3532	—	3	8	no	—
210	#3519	—	3	2	no	—
211	#3514	—	3	2	no	—
212	#3508	—	3	1	no	—
213	#3506	—	3	1	no	—
214	#3498	—	3	2	no	—
215	#3498	—	3	1	no	—
216	#3496	—	3	2	no	—
217	#3494	—	3	2	no	—
218	#3488	—	3	2	no	—
219	#3484	—	3	2	no	—
220	#3484	—	3	4	no	—
221	#3475	—	3	1	no	—
222	D₄×#41	—	3	1	no	—
223	C₂×D₄²	D₃	1	1	yes	characteristic, complemented
224	#3460	—	3	1	no	—
225	C₂×#535	—	3	2	no	—
226	C₂⁵×C₃	C₂³	1	4	yes	—
227	C₂²×C₃×D₄	—	4	8	no	—
228	C₂²×C₃×D₄	—	4	8	no	—
229	C₂²×C₃×D₄	C₂³	1	4	yes	—
230	C₂²×C₃×D₄	C₂³	1	2	yes	—
231	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
233	C₂²×C₃×D₄	C₂³	1	4	yes	—
234	C₂²×C₃×D₄	C₂³	1	4	yes	—
235	C₂²×C₃×D₄	C₂³	1	4	yes	—
236	C₂²×C₃×D₄	C₂³	1	2	yes	—
237	C₂²×C₃×D₄	C₂³	1	8	yes	—
238	C₂²×C₃×D₄	C₂³	1	4	yes	—
239	C₂²×C₃×D₄	C₂³	1	4	yes	—
240	C₂²×C₃×D₄	C₂³	1	4	yes	—
241	C₂²×C₃×D₄	C₂³	1	4	yes	—
242	C₂²×C₃×D₄	C₂³	1	2	yes	—
243	C₂³×C₃×C₄	C₂³	1	2	yes	—
244	C₂³×C₃×C₄	C₂³	1	2	yes	—
245	C₂²×#67	C₂³	1	4	yes	—
246	C₂²×#67	C₂³	1	8	yes	—
247	C₂²×#67	C₂³	1	8	yes	complemented
248	C₂²×#67	C₂³	1	8	yes	complemented
249	C₂²×#67	C₂³	1	8	yes	complemented
250	C₂²×#67	C₂³	1	8	yes	complemented
251	#1004	—	4	8	no	—
252	#1004	—	4	16	no	—
253	C₂×#237	C₂³	1	2	yes	—
254	C₂×#237	C₂³	1	4	yes	complemented
255	C₂×#237	C₂³	1	4	yes	complemented
256	C₂×#237	C₂³	1	4	yes	complemented
257	C₂×#237	C₂³	1	8	yes	complemented
258	C₂×#237	C₂³	1	4	yes	complemented
259	C₂×D₃×D₄	C₂³	1	2	yes	—
260	C₂×D₃×D₄	C₂³	1	4	yes	complemented
261	C₂×D₃×D₄	C₂³	1	4	yes	complemented
262	C₂×D₃×D₄	C₂³	1	4	yes	complemented
263	C₂×D₃×D₄	C₂³	1	8	yes	complemented
264	C₂×D₃×D₄	C₂³	1	4	yes	complemented
265	C₂×#235	—	4	8	no	—
266	C₂×#235	C₂³	1	1	yes	characteristic
267	C₂×#235	C₂³	1	2	yes	—
268	C₂×#235	C₂³	1	1	yes	characteristic
269	C₂×#235	C₂³	1	4	yes	—
270	C₂×#235	C₂³	1	4	yes	complemented
271	C₂×#235	C₂³	1	2	yes	complemented
272	C₂×#235	C₂³	1	2	yes	complemented
273	C₂×#235	C₂³	1	4	yes	complemented
274	C₂×#235	C₂³	1	4	yes	complemented
275	C₂²×D₁₂	C₂³	1	2	yes	complemented
276	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
277	C₂²×Dic₆	C₂³	1	2	yes	complemented
278	C₃×#127	C₂³	1	2	yes	—
279	C₃×#127	C₂³	1	2	yes	—
280	C₃×#127	C₂³	1	2	yes	—
281	C₃×#127	C₂³	1	2	yes	—
282	C₃×#121	C₂³	1	4	yes	—
283	C₃×#121	C₂³	1	4	yes	—
284	C₃×#121	C₂³	1	4	yes	—
285	C₃×#121	C₂³	1	4	yes	—
286	C₃×#121	C₂³	1	4	yes	—
287	C₃×#121	C₂³	1	4	yes	—
288	C₃×#121	C₂³	1	8	yes	—
289	C₃×#120	C₂³	1	8	yes	—
290	C₃×#120	C₂³	1	8	yes	—
291	C₃×#120	C₂³	1	8	yes	—
292	C₃×#120	C₂³	1	8	yes	—
293	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
294	C₃×C₄×D₄	C₂³	1	2	yes	—
295	C₃×C₄×D₄	C₂³	1	2	yes	—
296	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
297	C₃×C₄×D₄	C₂³	1	2	yes	—
298	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
299	C₃×C₄×D₄	C₂³	1	2	yes	—
300	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
301	C₃×C₄×D₄	C₂³	1	2	yes	—
302	C₃×C₄×D₄	C₂³	1	2	yes	—
303	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
306	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
309	#953	C₂³	1	4	yes	—
310	#953	C₂³	1	8	yes	—
311	#953	C₂³	1	4	yes	—
312	#953	C₂³	1	8	yes	—
313	#953	C₂³	1	4	yes	—
314	#953	C₂³	1	4	yes	—
315	#953	C₂³	1	8	yes	—
316	#953	C₂³	1	8	yes	complemented
317	#953	C₂³	1	8	yes	complemented
318	#953	C₂³	1	8	yes	complemented
319	#953	C₂³	1	8	yes	complemented
320	#953	C₂³	1	8	yes	complemented
321	#953	C₂³	1	8	yes	complemented
322	#953	C₂³	1	8	yes	complemented
323	#953	C₂³	1	8	yes	complemented
324	C₂×#217	C₂³	1	4	yes	—
325	C₂×#217	C₂³	1	8	yes	—
326	C₂×#217	C₂³	1	8	yes	complemented
327	C₂×#217	C₂³	1	8	yes	complemented
328	C₂×#217	C₂³	1	8	yes	complemented
329	C₂×#217	C₂³	1	8	yes	complemented
330	#940	C₂³	1	2	yes	—
331	#940	C₂³	1	2	yes	—
332	#940	C₂³	1	4	yes	—
333	#940	C₂³	1	2	yes	—
334	#940	C₂³	1	4	yes	complemented
335	#940	C₂³	1	4	yes	complemented
336	#940	C₂³	1	4	yes	complemented
337	#940	C₂³	1	4	yes	complemented
338	#940	C₂³	1	8	yes	complemented
339	#940	C₂³	1	8	yes	complemented
340	#940	C₂³	1	8	yes	complemented
341	#939	C₂³	1	4	yes	—
342	#939	C₂³	1	4	yes	—
343	#939	C₂³	1	8	yes	complemented
344	#939	C₂³	1	8	yes	complemented
345	#939	C₂³	1	8	yes	complemented
346	#939	C₂³	1	8	yes	complemented
347	#939	C₂³	1	8	yes	complemented
348	#939	C₂³	1	8	yes	complemented
349	#939	C₂³	1	8	yes	complemented
350	#939	C₂³	1	8	yes	complemented
351	#939	C₂³	1	8	yes	complemented
352	#939	C₂³	1	8	yes	complemented
353	#939	C₂³	1	8	yes	complemented
354	#939	C₂³	1	8	yes	complemented
355	#938	C₂³	1	2	yes	—
356	#938	C₂³	1	2	yes	—
357	#938	C₂³	1	4	yes	—
358	#938	C₂³	1	4	yes	—
359	#938	C₂³	1	2	yes	—
360	#938	C₂³	1	2	yes	—
361	#938	C₂³	1	2	yes	—
362	#938	C₂³	1	2	yes	—
363	#938	C₂³	1	4	yes	complemented
364	#938	C₂³	1	4	yes	complemented
365	#938	C₂³	1	4	yes	complemented
366	#938	C₂³	1	4	yes	complemented
367	#938	C₂³	1	4	yes	complemented
368	#938	C₂³	1	4	yes	complemented
369	#938	C₂³	1	4	yes	complemented
370	#938	C₂³	1	4	yes	complemented
371	#938	C₂³	1	8	yes	complemented
372	#938	C₂³	1	8	yes	complemented
373	#938	C₂³	1	8	yes	complemented
374	#938	C₂³	1	8	yes	complemented
375	#938	C₂³	1	8	yes	complemented
376	#938	C₂³	1	8	yes	complemented
377	#937	C₂³	1	4	yes	—
378	#937	C₂³	1	8	yes	complemented
379	#937	C₂³	1	8	yes	complemented
380	#937	C₂³	1	8	yes	complemented
381	#937	C₂³	1	8	yes	complemented
382	#937	C₂³	1	8	yes	complemented
383	#937	C₂³	1	8	yes	complemented
384	#936	C₂³	1	2	yes	—
385	#936	C₂³	1	4	yes	—
386	#936	C₂³	1	2	yes	—
387	#936	C₂³	1	2	yes	—
388	#936	C₂³	1	4	yes	complemented
389	#936	C₂³	1	4	yes	complemented
390	#936	C₂³	1	4	yes	complemented
391	#936	C₂³	1	4	yes	complemented
392	#936	C₂³	1	8	yes	complemented
393	#936	C₂³	1	8	yes	complemented
394	#936	C₂³	1	8	yes	complemented
395	#935	C₂³	1	4	yes	—
396	#935	C₂³	1	8	yes	complemented
397	#935	C₂³	1	8	yes	complemented
398	#935	C₂³	1	8	yes	complemented
399	#935	C₂³	1	8	yes	complemented
400	#935	C₂³	1	8	yes	complemented
401	#935	C₂³	1	8	yes	complemented
402	D₄×Dic₃	C₂³	1	2	yes	—
403	D₄×Dic₃	C₂³	1	2	yes	—
404	D₄×Dic₃	C₂³	1	4	yes	complemented
405	D₄×Dic₃	C₂³	1	4	yes	complemented
406	D₄×Dic₃	C₂³	1	4	yes	complemented
407	D₄×Dic₃	C₂³	1	4	yes	complemented
408	D₄×Dic₃	C₂³	1	4	yes	complemented
409	D₄×Dic₃	C₂³	1	4	yes	complemented
410	D₄×Dic₃	C₂³	1	4	yes	complemented
411	D₄×Dic₃	C₂³	1	4	yes	complemented
412	D₄×Dic₃	C₂³	1	8	yes	complemented
413	D₄×Dic₃	C₂³	1	8	yes	complemented
414	#930	C₂³	1	2	yes	—
415	#930	C₂³	1	2	yes	—
416	#930	C₂³	1	4	yes	—
417	#930	C₂³	1	2	yes	complemented
418	#930	C₂³	1	2	yes	complemented
419	#930	C₂³	1	4	yes	complemented
420	#930	C₂³	1	2	yes	complemented
421	#930	C₂³	1	4	yes	complemented
422	#930	C₂³	1	2	yes	complemented
423	#929	C₂³	1	4	yes	—
424	#929	C₂³	1	4	yes	—
425	#929	C₂³	1	8	yes	complemented
426	#929	C₂³	1	4	yes	complemented
427	#929	C₂³	1	4	yes	complemented
428	C₄×#67	C₂³	1	2	yes	—
429	C₄×#67	C₂³	1	2	yes	—
430	C₄×#67	C₂³	1	2	yes	—
431	C₄×#67	C₂³	1	2	yes	—
432	C₄×#67	C₂³	1	8	yes	—
433	C₄×#67	C₂³	1	4	yes	complemented
434	C₄×#67	C₂³	1	4	yes	complemented
435	C₄×#67	C₂³	1	4	yes	complemented
436	C₄×#67	C₂³	1	4	yes	complemented
437	C₄×#67	C₂³	1	4	yes	complemented
438	C₄×#67	C₂³	1	4	yes	complemented
439	C₄×#67	C₂³	1	8	yes	complemented
440	#926	C₂³	1	2	yes	—
441	#926	C₂³	1	1	yes	characteristic
442	#926	C₂³	1	1	yes	characteristic
443	#926	C₂³	1	4	yes	—
444	#926	C₂³	1	4	yes	complemented
445	#926	C₂³	1	2	yes	complemented
446	#926	C₂³	1	2	yes	complemented
447	#926	C₂³	1	4	yes	complemented
448	#926	C₂³	1	4	yes	complemented
449	C₂×C₄⋊Dic₃	C₂³	1	2	yes	complemented
450	C₂×C₄⋊Dic₃	C₂³	1	2	yes	complemented
451	#924	C₂³	1	2	yes	—
452	#924	C₂³	1	2	yes	—
453	#924	C₂³	1	4	yes	—
454	#924	C₂³	1	2	yes	complemented
455	#924	C₂³	1	2	yes	complemented
456	#924	C₂³	1	2	yes	complemented
457	#924	C₂³	1	4	yes	complemented
458	#924	C₂³	1	2	yes	complemented
459	#924	C₂³	1	4	yes	complemented
460	C₂×C₄×Dic₃	C₂³	1	4	yes	complemented
461	#898	C₂³	1	4	yes	complemented
462	#897	C₂³	1	2	yes	complemented
463	#897	C₂³	1	2	yes	complemented
464	#897	C₂³	1	2	yes	complemented
465	#896	C₂³	1	4	yes	complemented
466	#895	C₂³	1	2	yes	complemented
467	#895	C₂³	1	2	yes	complemented
468	#895	C₂³	1	2	yes	complemented
469	#894	C₂³	1	4	yes	complemented
470	#893	C₂³	1	4	yes	complemented
471	#893	C₂³	1	2	yes	complemented
472	#892	C₂³	1	4	yes	complemented
473	#892	C₂³	1	2	yes	complemented
474	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
475	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
476	#890	C₂³	1	2	yes	complemented
477	#890	C₂³	1	2	yes	complemented
478	#890	C₂³	1	2	yes	complemented
479	#889	C₂³	1	4	yes	complemented
480	#888	C₂³	1	2	yes	complemented
481	#888	C₂³	1	2	yes	complemented
482	#888	C₂³	1	2	yes	complemented
483	#887	C₂³	1	4	yes	complemented
484	#887	C₂³	1	2	yes	complemented
485	#886	C₂³	1	4	yes	complemented
486	#886	C₂³	1	8	yes	complemented
487	#885	C₂³	1	4	yes	complemented
488	#885	C₂³	1	8	yes	complemented
489	#885	C₂³	1	4	yes	complemented
490	#885	C₂³	1	4	yes	complemented
491	#885	C₂³	1	8	yes	complemented
492	#885	C₂³	1	4	yes	complemented
493	#885	C₂³	1	8	yes	complemented
494	#884	C₂³	1	4	yes	complemented
495	#884	C₂³	1	4	yes	complemented
496	#884	C₂³	1	8	yes	complemented
497	#884	C₂³	1	8	yes	complemented
498	#884	C₂³	1	4	yes	complemented
499	#884	C₂³	1	4	yes	complemented
500	#884	C₂³	1	8	yes	complemented
501	#883	C₂³	1	4	yes	complemented
502	#883	C₂³	1	8	yes	complemented
503	#883	C₂³	1	8	yes	complemented
504	#883	C₂³	1	4	yes	complemented
505	#883	C₂³	1	4	yes	complemented
506	#883	C₂³	1	4	yes	complemented
507	#883	C₂³	1	8	yes	complemented
508	#882	C₂³	1	4	yes	complemented
509	#882	C₂³	1	8	yes	complemented
510	#67⋊C₄	C₂³	1	4	yes	complemented
511	#67⋊C₄	C₂³	1	8	yes	complemented
512	#67⋊C₄	C₂³	1	4	yes	complemented
513	#67⋊C₄	C₂³	1	8	yes	complemented
514	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
515	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
516	#879	C₂³	1	8	yes	complemented
517	#879	C₂³	1	4	yes	complemented
518	#879	C₂³	1	4	yes	complemented
519	#879	C₂³	1	4	yes	complemented
520	#879	C₂³	1	4	yes	complemented
521	#879	C₂³	1	8	yes	complemented
522	#879	C₂³	1	8	yes	complemented
523	#878	C₂³	1	4	yes	complemented
524	#878	C₂³	1	8	yes	complemented
525	#878	C₂³	1	4	yes	complemented
526	#878	C₂³	1	8	yes	complemented
527	#877	C₂³	1	4	yes	complemented
528	#877	C₂³	1	8	yes	complemented
529	#875	C₂³	1	2	yes	complemented
530	#874	C₂³	1	1	yes	characteristic, complemented
531	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
532	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
533	C₄×D₁₂	C₂³	1	2	yes	complemented
534	C₄×D₁₂	C₂³	1	2	yes	complemented
535	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
536	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
537	#872	C₂³	1	2	yes	complemented
538	#872	C₂³	1	2	yes	complemented
539	C₄²×D₃	C₂³	1	2	yes	complemented
540	C₄²×D₃	C₂³	1	2	yes	complemented
541	#870	C₂³	1	2	yes	complemented
542	#869	C₂³	1	1	yes	characteristic, complemented
543	#869	C₂³	1	1	yes	characteristic, complemented
544	#869	C₂³	1	1	yes	characteristic, complemented
545	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
546	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
547	C₄×Dic₆	C₂³	1	2	yes	complemented
548	C₄×Dic₆	C₂³	1	2	yes	complemented
549	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
550	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
551	C₂×H(5,𝔽₂)	—	3	2	no	—
552	C₂×H(5,𝔽₂)	—	3	4	no	—
553	C₂²×#41	—	3	2	no	—
554	C₂³×D₄	C₂×D₃	1	2	yes	complemented
555	C₂³×D₄	C₂×D₃	1	2	yes	complemented
556	#562	—	3	8	no	—
557	H(3,𝔽₄)	—	3	8	no	—
558	#560	—	3	8	no	—
559	#560	—	3	8	no	—
560	#560	—	3	8	no	—
561	#560	—	3	8	no	—
562	#559	—	3	2	no	—
563	#559	—	3	2	no	—
564	#559	—	3	4	no	—
565	#556	—	3	1	no	—
566	#556	—	3	2	no	—
567	#555	—	3	4	no	—
568	#555	—	3	4	no	—
569	#555	—	3	1	no	—
570	#555	—	3	2	no	—
571	#554	—	3	1	no	—
572	#553	—	3	4	no	—
573	#553	—	3	4	no	—
574	#553	—	3	4	no	—
575	#553	—	3	2	no	—
576	#553	—	3	4	no	—
577	#552	—	3	2	no	—
578	#552	—	3	2	no	—
579	#551	—	3	8	no	—
580	#551	—	3	4	no	—
581	#551	—	3	8	no	—
582	#550	—	3	2	no	—
583	#550	—	3	2	no	—
584	#550	—	3	2	no	—
585	#550	—	3	2	no	—
586	#550	—	3	4	no	—
587	#550	—	3	4	no	—
588	#550	—	3	1	no	—
589	#550	—	3	2	no	—
590	D₄×Q₈	—	3	1	no	—
591	#548	—	3	4	no	—
592	#548	—	3	2	no	—
593	#547	—	3	4	no	—
594	#547	—	3	1	no	—
595	#547	—	3	1	no	—
596	#547	—	3	2	no	—
597	#547	—	3	2	no	—
598	#546	—	3	2	no	—
599	#546	—	3	8	no	—
600	#546	—	3	4	no	—
601	#546	—	3	4	no	—
602	#546	—	3	4	no	—
603	#546	—	3	4	no	—
604	#546	—	3	4	no	—
605	#546	—	3	8	no	—
606	#546	—	3	4	no	—
607	#546	—	3	4	no	—
608	#546	—	3	4	no	—
609	#546	—	3	4	no	—
610	#546	—	3	4	no	—
611	#546	—	3	8	no	—
612	#546	—	3	8	no	—
613	#546	—	3	2	no	—
614	#546	—	3	4	no	—
615	#546	—	3	8	no	—
616	D₄²	—	3	2	no	—
617	D₄²	—	3	8	no	—
618	D₄²	—	3	4	no	—
619	D₄²	—	3	4	no	—
620	D₄²	—	3	4	no	—
621	D₄²	—	3	4	no	—
622	D₄²	—	3	8	no	—
623	D₄²	—	3	4	no	—
624	D₄²	—	3	4	no	—
625	D₄²	—	3	4	no	—
626	D₄²	—	3	4	no	—
627	D₄²	—	3	2	no	—
628	D₄²	—	3	2	no	—
629	D₄²	—	3	4	no	—
630	D₄²	—	3	8	no	—
631	D₄²	—	3	1	no	—
632	D₄²	C₂×D₃	1	2	yes	complemented
633	D₄²	C₂×D₃	1	2	yes	complemented
634	D₄²	C₂×D₃	1	4	yes	complemented
635	D₄²	C₂×D₃	1	2	yes	complemented
636	D₄²	C₂×D₃	1	4	yes	complemented
637	D₄²	C₂×D₃	1	2	yes	complemented
638	#544	—	3	1	no	—
639	#542	—	3	4	no	—
640	#542	—	3	4	no	—
641	#542	—	3	2	no	—
642	#542	—	3	2	no	—
643	#540	—	3	4	no	—
644	#540	—	3	4	no	—
645	#540	—	3	4	no	—
646	#540	—	3	8	no	—
647	#540	—	3	2	no	—
648	#540	—	3	2	no	—
649	#538	—	3	8	no	—
650	#538	—	3	8	no	—
651	#538	—	3	8	no	—
652	#538	—	3	8	no	—
653	#538	—	3	8	no	—
654	#538	—	3	4	no	—
655	#538	—	3	4	no	—
656	#537	—	3	4	no	—
657	#537	—	3	4	no	—
658	#537	—	3	1	no	—
659	#535	—	3	1	no	—
660	#535	—	3	2	no	—
661	#535	—	3	2	no	—
662	#535	—	3	2	no	—
663	#535	—	3	8	no	—
664	#535	—	3	4	no	—
665	#535	—	3	4	no	—
666	#535	—	3	4	no	—
667	#535	—	3	4	no	—
668	#535	—	3	1	no	—
669	#535	—	3	4	no	—
670	#535	—	3	4	no	—
671	#535	—	3	4	no	—
672	#535	—	3	4	no	—
673	#535	—	3	4	no	—
674	#535	—	3	8	no	—
675	#535	—	3	8	no	—
676	#534	—	3	8	no	—
677	#534	—	3	8	no	—
678	#534	—	3	8	no	—
679	#534	—	3	8	no	—
680	#534	—	3	8	no	—
681	#533	—	3	1	no	—
682	#532	—	3	2	no	—
683	#532	—	3	2	no	—
684	#532	—	3	2	no	—
685	#532	—	3	4	no	—
686	#532	—	3	2	no	—
687	#532	—	3	2	no	—
688	#532	—	3	2	no	—
689	#532	—	3	1	no	—
690	C₂×#127	—	3	4	no	—
691	C₂×#127	—	3	2	no	—
692	C₂×#127	C₂×D₃	1	1	yes	characteristic, complemented
693	#529	—	3	4	no	—
694	#529	—	3	2	no	—
695	#529	—	3	2	no	—
696	#529	—	3	4	no	—
697	#529	—	3	2	no	—
698	C₂×#124	—	3	4	no	—
699	#525	—	3	4	no	—
700	#525	—	3	2	no	—
701	#525	—	3	2	no	—
702	#525	—	3	4	no	—
703	#525	—	3	4	no	—
704	#525	—	3	4	no	—
705	C₂×#121	—	3	4	no	—
706	C₂×#121	—	3	4	no	—
707	C₂×#121	—	3	4	no	—
708	C₂×#121	C₂×D₃	1	2	yes	complemented
709	C₂×#121	C₂×D₃	1	2	yes	complemented
710	C₂×#120	—	3	8	no	—
711	C₂×#120	—	3	8	no	—
712	C₂×#120	C₂×D₃	1	4	yes	complemented
713	#520	—	3	2	no	—
714	#518	—	3	2	no	—
715	#518	—	3	4	no	—
716	C₄×#41	—	3	2	no	—
717	C₄×#41	—	3	1	no	—
718	C₄×#41	—	3	1	no	—
719	C₂×C₄×D₄	—	3	2	no	—
720	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
721	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
722	C₂×#117	—	3	2	no	—
723	C₂⁴×C₃	—	4	8	no	—
724	C₂⁴×C₃	—	4	8	no	—
725	C₂⁴×C₃	—	8	4	no	—
726	C₂⁴×C₃	C₂⁴	1	2	yes	—
727	C₂⁴×C₃	C₂⁴	1	2	yes	—
728	C₂⁴×C₃	C₂⁴	1	4	yes	—
729	C₂⁴×C₃	C₂⁴	1	8	yes	—
730	C₂⁴×C₃	C₂⁴	1	8	yes	—
731	C₂³×D₃	C₂⁴	1	4	yes	—
732	C₂³×D₃	C₂⁴	1	8	yes	—
733	C₂×C₃×D₄	—	2	16	no	—
734	C₂×C₃×D₄	—	2	4	no	—
735	C₂×C₃×D₄	—	2	8	no	—
736	C₂×C₃×D₄	—	2	4	no	—
737	C₂×C₃×D₄	—	4	8	no	—
738	C₂×C₃×D₄	—	4	8	no	—
739	C₂×C₃×D₄	—	4	8	no	—
740	C₂×C₃×D₄	—	4	8	no	—
741	C₂×C₃×D₄	—	4	8	no	—
742	C₂×C₃×D₄	—	4	4	no	—
743	C₂×C₃×D₄	—	4	8	no	—
744	C₂×C₃×D₄	—	4	8	no	—
745	C₂×C₃×D₄	—	4	16	no	—
746	C₂×C₃×D₄	—	8	2	no	—
747	C₂×C₃×D₄	C₂⁴	1	8	yes	—
748	C₂×C₃×D₄	C₂⁴	1	4	yes	—
749	C₂×C₃×D₄	C₂⁴	1	4	yes	—
750	C₂×C₃×D₄	C₂⁴	1	4	yes	—
751	C₂×C₃×D₄	C₂⁴	1	2	yes	—
752	C₂×C₃×D₄	C₂⁴	1	2	yes	—
753	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
754	C₂×C₃×D₄	C₂⁴	1	2	yes	—
755	C₂×C₃×D₄	C₂⁴	1	4	yes	—
756	C₂×C₃×D₄	C₂⁴	1	4	yes	—
757	C₂×C₃×D₄	C₂⁴	1	4	yes	—
758	C₂×C₃×D₄	C₂⁴	1	8	yes	—
759	C₂×C₃×D₄	C₂⁴	1	8	yes	—
760	C₂×C₃×D₄	C₂⁴	1	8	yes	—
761	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
762	C₂²×C₃×C₄	—	2	8	no	—
763	C₂²×C₃×C₄	—	4	4	no	—
764	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
765	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
766	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
767	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
768	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
769	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
770	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
771	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
772	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
773	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
774	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
775	C₂×#67	—	4	16	no	—
776	C₂×#67	—	4	8	no	—
777	C₂×#67	—	4	16	no	—
778	C₂×#67	—	4	16	no	—
779	C₂×#67	—	8	8	no	—
780	C₂×#67	—	8	8	no	—
781	C₂×#67	C₂⁴	1	4	yes	—
782	C₂×#67	C₂⁴	1	4	yes	—
783	C₂×#67	C₂⁴	1	2	yes	—
784	C₂×#67	C₂⁴	1	4	yes	—
785	C₂×#67	C₂⁴	1	2	yes	—
786	C₂×#67	C₂⁴	1	8	yes	—
787	C₂×#67	C₂⁴	1	8	yes	—
788	C₂×#67	C₂⁴	1	4	yes	—
789	C₂×#67	C₂⁴	1	4	yes	—
790	C₂×#67	C₂⁴	1	8	yes	—
791	C₂×#67	C₂⁴	1	4	yes	—
792	C₂×#67	C₂⁴	1	8	yes	—
793	C₂×#67	C₂⁴	1	4	yes	—
794	C₂×#67	C₂⁴	1	8	yes	—
795	C₂×#67	C₂⁴	1	4	yes	—
796	C₂×#67	C₂⁴	1	8	yes	—
797	C₂×#67	C₂⁴	1	8	yes	—
798	C₂×#67	C₂⁴	1	4	yes	—
799	C₂×#67	C₂⁴	1	4	yes	—
800	C₂×#67	C₂⁴	1	4	yes	—
801	C₂×#67	C₂⁴	1	8	yes	—
802	C₂²×Dic₃	C₂⁴	1	4	yes	—
803	C₂²×Dic₃	C₂⁴	1	8	yes	—
804	C₂²×Dic₃	C₂⁴	1	4	yes	—
805	C₂²×Dic₃	C₂⁴	1	4	yes	—
806	C₂²×Dic₃	C₂⁴	1	8	yes	—
807	C₂²×Dic₃	C₂⁴	1	8	yes	—
808	#237	—	2	8	no	—
809	#237	—	4	8	no	—
810	#237	—	4	8	no	—
811	#237	—	4	8	no	—
812	#237	—	4	16	no	—
813	#237	—	8	4	no	—
814	D₃×D₄	—	2	8	no	—
815	D₃×D₄	—	4	8	no	—
816	D₃×D₄	—	4	8	no	—
817	D₃×D₄	—	4	8	no	—
818	D₃×D₄	—	4	16	no	—
819	D₃×D₄	—	8	4	no	—
820	#235	—	2	4	no	—
821	#235	—	2	8	no	—
822	#235	—	2	4	no	—
823	#235	—	4	4	no	—
824	#235	—	4	4	no	—
825	#235	—	4	8	no	—
826	#235	—	4	8	no	—
827	#235	—	4	8	no	—
828	#235	—	4	8	no	—
829	C₂×D₁₂	—	4	4	no	—
830	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
831	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
832	C₂×D₁₂	C₂⁴	1	2	yes	—
833	C₂×D₁₂	C₂⁴	1	2	yes	—
834	C₂×D₁₂	C₂⁴	1	2	yes	—
835	C₂×D₁₂	C₂⁴	1	4	yes	—
836	C₂×D₁₂	C₂⁴	1	4	yes	—
837	C₂×C₄×D₃	—	4	8	no	—
838	C₂×C₄×D₃	C₂⁴	1	2	yes	—
839	C₂×C₄×D₃	C₂⁴	1	2	yes	—
840	C₂×C₄×D₃	C₂⁴	1	2	yes	—
841	C₂×C₄×D₃	C₂⁴	1	2	yes	—
842	C₂×C₄×D₃	C₂⁴	1	4	yes	—
843	C₂×C₄×D₃	C₂⁴	1	2	yes	—
844	C₂×C₄×D₃	C₂⁴	1	2	yes	—
845	C₂×C₄×D₃	C₂⁴	1	4	yes	—
846	C₂×C₄×D₃	C₂⁴	1	4	yes	—
847	C₂×C₄×D₃	C₂⁴	1	8	yes	—
848	C₂×Dic₆	—	4	4	no	—
849	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
850	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
851	C₂×Dic₆	C₂⁴	1	2	yes	—
852	C₂×Dic₆	C₂⁴	1	2	yes	—
853	C₂×Dic₆	C₂⁴	1	2	yes	—
854	C₂×Dic₆	C₂⁴	1	4	yes	—
855	C₂×Dic₆	C₂⁴	1	4	yes	—
856	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
857	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
858	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
859	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
860	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
861	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
863	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
864	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
865	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₃×C₄²	C₂⁴	1	1	yes	characteristic
870	C₃×C₄²	C₂⁴	1	1	yes	characteristic
871	C₃×C₄²	C₂⁴	1	1	yes	characteristic
872	C₃×C₄²	C₂⁴	1	1	yes	characteristic
873	#217	C₂⁴	1	4	yes	—
874	#217	C₂⁴	1	8	yes	—
875	#217	C₂⁴	1	4	yes	—
876	#217	C₂⁴	1	8	yes	—
877	#217	C₂⁴	1	4	yes	—
878	#217	C₂⁴	1	8	yes	—
879	#217	C₂⁴	1	8	yes	—
880	#217	C₂⁴	1	4	yes	—
881	#217	C₂⁴	1	4	yes	—
882	#217	C₂⁴	1	4	yes	—
883	#217	C₂⁴	1	8	yes	—
884	#217	C₂⁴	1	4	yes	—
885	#217	C₂⁴	1	4	yes	—
886	#217	C₂⁴	1	4	yes	—
887	#217	C₂⁴	1	8	yes	—
888	#217	C₂⁴	1	8	yes	—
889	#217	C₂⁴	1	4	yes	—
890	#217	C₂⁴	1	8	yes	—
891	#217	C₂⁴	1	2	yes	—
892	#217	C₂⁴	1	4	yes	—
893	#217	C₂⁴	1	2	yes	—
894	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
895	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
896	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
897	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
898	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
899	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
900	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
901	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
902	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
903	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
904	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
905	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
906	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
907	C₄⋊Dic₃	C₂⁴	1	2	yes	—
908	C₄⋊Dic₃	C₂⁴	1	2	yes	—
909	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
910	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
911	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
912	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
913	C₄⋊Dic₃	C₂⁴	1	2	yes	—
914	C₄⋊Dic₃	C₂⁴	1	2	yes	—
915	C₄⋊Dic₃	C₂⁴	1	2	yes	—
916	C₄⋊Dic₃	C₂⁴	1	2	yes	—
917	C₄⋊Dic₃	C₂⁴	1	4	yes	—
918	C₄⋊Dic₃	C₂⁴	1	4	yes	—
919	C₄⋊Dic₃	C₂⁴	1	4	yes	—
920	C₄⋊Dic₃	C₂⁴	1	4	yes	—
921	Dic₃⋊C₄	C₂⁴	1	4	yes	—
922	Dic₃⋊C₄	C₂⁴	1	4	yes	—
923	Dic₃⋊C₄	C₂⁴	1	2	yes	—
924	Dic₃⋊C₄	C₂⁴	1	2	yes	—
925	Dic₃⋊C₄	C₂⁴	1	2	yes	—
926	Dic₃⋊C₄	C₂⁴	1	2	yes	—
927	Dic₃⋊C₄	C₂⁴	1	4	yes	—
928	Dic₃⋊C₄	C₂⁴	1	4	yes	—
929	Dic₃⋊C₄	C₂⁴	1	4	yes	—
930	Dic₃⋊C₄	C₂⁴	1	4	yes	—
931	Dic₃⋊C₄	C₂⁴	1	8	yes	—
932	Dic₃⋊C₄	C₂⁴	1	4	yes	—
933	Dic₃⋊C₄	C₂⁴	1	4	yes	—
934	C₄×Dic₃	C₂⁴	1	4	yes	—
935	C₄×Dic₃	C₂⁴	1	2	yes	—
936	C₄×Dic₃	C₂⁴	1	2	yes	—
937	C₄×Dic₃	C₂⁴	1	2	yes	—
938	C₄×Dic₃	C₂⁴	1	2	yes	—
939	C₄×Dic₃	C₂⁴	1	2	yes	—
940	C₄×Dic₃	C₂⁴	1	2	yes	—
941	C₄×Dic₃	C₂⁴	1	4	yes	—
942	C₄×Dic₃	C₂⁴	1	8	yes	—
943	C₄×Dic₃	C₂⁴	1	4	yes	—
944	C₂⁵	C₂²×D₃	1	4	yes	—
945	H(5,𝔽₂)	—	12	16	no	—
946	H(5,𝔽₂)	—	12	8	no	—
947	C₂×#41	—	3	2	no	—
948	C₂×#41	—	3	4	no	—
949	C₂×#41	—	3	8	no	—
950	C₂×#41	—	3	4	no	—
951	C₂×#41	—	3	4	no	—
952	C₂×#41	—	3	4	no	—
953	C₂×#41	—	3	1	no	—
954	C₂×#41	—	3	1	no	—
955	C₂×#41	—	3	2	no	—
956	C₂×#41	—	3	4	no	—
957	C₂×#41	—	3	4	no	—
958	C₂×#41	—	3	4	no	—
959	C₂×#41	—	3	4	no	—
960	C₂×#41	—	3	2	no	—
961	C₂×#41	—	3	2	no	—
962	C₂×#41	—	12	8	no	—
963	C₂²×Q₈	—	3	2	no	—
964	C₂²×D₄	—	3	4	no	—
965	C₂²×D₄	—	3	8	no	—
966	C₂²×D₄	—	3	8	no	—
967	C₂²×D₄	—	3	8	no	—
968	C₂²×D₄	—	3	8	no	—
969	C₂²×D₄	—	3	8	no	—
970	C₂²×D₄	—	3	2	no	—
971	C₂²×D₄	—	3	8	no	—
972	C₂²×D₄	—	3	4	no	—
973	C₂²×D₄	—	3	4	no	—
974	C₂²×D₄	—	3	4	no	—
975	C₂²×D₄	—	3	4	no	—
976	C₂²×D₄	—	3	2	no	—
977	C₂²×D₄	—	4	8	no	—
978	C₂²×D₄	—	4	8	no	—
979	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
980	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
981	C₂²×D₄	C₂²×D₃	1	2	yes	—
982	C₂²×D₄	C₂²×D₃	1	4	yes	—
983	C₂²×D₄	C₂²×D₃	1	4	yes	—
984	C₂²×D₄	C₂²×D₃	1	4	yes	—
985	C₂²×D₄	C₂²×D₃	1	4	yes	—
986	C₂²×D₄	C₂²×D₃	1	2	yes	—
987	C₂²×D₄	C₂²×D₃	1	4	yes	—
988	C₂²×D₄	C₂²×D₃	1	8	yes	—
989	C₂²×D₄	C₂²×D₃	1	4	yes	—
990	C₂²×D₄	C₂²×D₃	1	4	yes	—
991	C₂²×D₄	C₂²×D₃	1	4	yes	—
992	C₂²×D₄	C₂²×D₃	1	2	yes	—
993	C₂³×C₄	—	3	4	no	—
994	C₂³×C₄	C₂²×D₃	1	2	yes	—
995	C₂³×C₄	C₂²×D₃	1	2	yes	—
996	C₄⋊Q₈	—	3	2	no	—
997	C₄⋊Q₈	—	3	2	no	—
998	C₄⋊Q₈	—	3	2	no	—
999	C₄⋊Q₈	—	3	1	no	—
1000	C₄⋊Q₈	—	3	1	no	—
1001	C₄⋊Q₈	—	3	1	no	—
1002	#127	—	3	2	no	—
1003	#127	—	3	4	no	—
1004	#127	—	3	8	no	—
1005	#127	—	3	4	no	—
1006	#127	—	3	4	no	—
1007	#127	—	3	8	no	—
1008	#127	—	3	4	no	—
1009	#127	—	3	4	no	—
1010	#127	—	3	2	no	—
1011	#127	—	3	2	no	—
1012	#127	—	3	8	no	—
1013	#127	—	3	1	no	—
1014	#127	C₂²×D₃	1	2	yes	—
1015	#127	C₂²×D₃	1	2	yes	—
1016	#127	C₂²×D₃	1	2	yes	—
1017	#127	C₂²×D₃	1	2	yes	—
1018	#126	—	3	4	no	—
1019	#126	—	3	4	no	—
1020	#126	—	3	4	no	—
1021	#126	—	3	4	no	—
1022	#126	—	3	4	no	—
1023	#126	—	3	8	no	—
1024	#126	—	3	8	no	—
1025	#126	—	3	8	no	—
1026	#125	—	3	2	no	—
1027	#125	—	3	4	no	—
1028	#125	—	3	2	no	—
1029	#125	—	3	2	no	—
1030	#125	—	3	2	no	—
1031	#124	—	3	2	no	—
1032	#124	—	3	4	no	—
1033	#124	—	3	8	no	—
1034	#124	—	3	4	no	—
1035	#124	—	3	4	no	—
1036	#124	—	3	8	no	—
1037	#124	—	3	2	no	—
1038	#124	—	3	2	no	—
1039	#124	—	3	4	no	—
1040	#124	—	3	4	no	—
1041	#124	—	3	8	no	—
1042	#124	—	3	4	no	—
1043	#124	—	3	4	no	—
1044	#124	—	3	8	no	—
1045	#124	—	3	4	no	—
1046	#124	—	3	4	no	—
1047	#124	—	3	8	no	—
1048	#124	—	3	8	no	—
1049	#124	—	3	2	no	—
1050	#123	—	3	4	no	—
1051	#123	—	3	8	no	—
1052	#123	—	3	8	no	—
1053	#123	—	3	8	no	—
1054	#123	—	3	8	no	—
1055	#123	—	3	8	no	—
1056	#123	—	3	8	no	—
1057	#123	—	3	4	no	—
1058	#123	—	3	4	no	—
1059	#123	—	3	4	no	—
1060	#123	—	3	4	no	—
1061	#123	—	3	8	no	—
1062	#123	—	3	4	no	—
1063	#123	—	3	4	no	—
1064	#123	—	3	8	no	—
1065	#123	—	3	4	no	—
1066	#123	—	3	4	no	—
1067	#123	—	3	4	no	—
1068	#123	—	3	4	no	—
1069	#123	—	3	8	no	—
1070	#123	—	3	8	no	—
1071	#123	—	3	8	no	—
1072	C₂²⋊Q₈	—	3	2	no	—
1073	C₂²⋊Q₈	—	3	2	no	—
1074	C₂²⋊Q₈	—	3	2	no	—
1075	C₂²⋊Q₈	—	3	2	no	—
1076	C₂²⋊Q₈	—	3	4	no	—
1077	C₂²⋊Q₈	—	3	4	no	—
1078	C₂²⋊Q₈	—	3	2	no	—
1079	C₂²⋊Q₈	—	3	4	no	—
1080	C₂²⋊Q₈	—	3	2	no	—
1081	C₂²⋊Q₈	—	3	2	no	—
1082	C₂²⋊Q₈	—	3	4	no	—
1083	C₂²⋊Q₈	—	3	2	no	—
1084	C₂²⋊Q₈	—	3	2	no	—
1085	C₂²⋊Q₈	—	3	4	no	—
1086	C₂²⋊Q₈	—	3	4	no	—
1087	C₂²⋊Q₈	—	3	8	no	—
1088	C₂²⋊Q₈	—	3	8	no	—
1089	#121	—	3	2	no	—
1090	#121	—	3	2	no	—
1091	#121	—	3	4	no	—
1092	#121	—	3	4	no	—
1093	#121	—	3	8	no	—
1094	#121	—	3	8	no	—
1095	#121	—	3	8	no	—
1096	#121	—	3	4	no	—
1097	#121	—	3	4	no	—
1098	#121	—	3	4	no	—
1099	#121	—	3	4	no	—
1100	#121	—	3	8	no	—
1101	#121	—	3	8	no	—
1102	#121	—	3	4	no	—
1103	#121	—	3	4	no	—
1104	#121	—	3	2	no	—
1105	#121	—	3	2	no	—
1106	#121	—	3	4	no	—
1107	#121	—	3	8	no	—
1108	#121	—	3	2	no	—
1109	#121	—	3	4	no	—
1110	#121	—	3	4	no	—
1111	#121	—	3	2	no	—
1112	#121	—	3	4	no	—
1113	#121	—	3	8	no	—
1114	#121	—	3	8	no	—
1115	#121	—	3	8	no	—
1116	#121	—	3	8	no	—
1117	#121	—	3	8	no	—
1118	#121	—	3	8	no	—
1119	#121	—	3	8	no	—
1120	#121	—	3	8	no	—
1121	#121	—	3	8	no	—
1122	#121	—	3	8	no	—
1123	#121	—	3	8	no	—
1124	#121	—	3	8	no	—
1125	#121	—	3	2	no	—
1126	#121	—	3	2	no	—
1127	#121	—	3	2	no	—
1128	#121	—	3	2	no	—
1129	#121	—	3	4	no	—
1130	#121	—	3	4	no	—
1131	#121	—	3	2	no	—
1132	#121	—	3	4	no	—
1133	#121	—	3	2	no	—
1134	#121	—	3	2	no	—
1135	#121	—	3	2	no	—
1136	#121	—	3	2	no	—
1137	#121	—	3	8	no	—
1138	#121	—	3	4	no	—
1139	#121	—	3	4	no	—
1140	#121	—	3	4	no	—
1141	#121	—	3	4	no	—
1142	#121	—	3	8	no	—
1143	#121	—	3	8	no	—
1144	#121	C₂²×D₃	1	4	yes	—
1145	#121	C₂²×D₃	1	4	yes	—
1146	#121	C₂²×D₃	1	4	yes	—
1147	#121	C₂²×D₃	1	4	yes	—
1148	#121	C₂²×D₃	1	4	yes	—
1149	#121	C₂²×D₃	1	8	yes	—
1150	#121	C₂²×D₃	1	4	yes	—
1151	#120	—	3	4	no	—
1152	#120	—	3	8	no	—
1153	#120	—	3	4	no	—
1154	#120	—	3	4	no	—
1155	#120	—	3	4	no	—
1156	#120	—	3	8	no	—
1157	#120	—	3	8	no	—
1158	#120	—	3	8	no	—
1159	#120	—	3	8	no	—
1160	#120	—	3	8	no	—
1161	#120	—	3	8	no	—
1162	#120	—	3	8	no	—
1163	#120	—	3	8	no	—
1164	#120	—	3	8	no	—
1165	#120	—	3	8	no	—
1166	#120	—	3	4	no	—
1167	#120	—	3	8	no	—
1168	#120	—	3	8	no	—
1169	#120	—	3	8	no	—
1170	#120	—	3	8	no	—
1171	#120	—	3	8	no	—
1172	#120	—	3	8	no	—
1173	#120	—	3	4	no	—
1174	#120	—	3	8	no	—
1175	#120	C₂²×D₃	1	8	yes	—
1176	#120	C₂²×D₃	1	8	yes	—
1177	#120	C₂²×D₃	1	8	yes	—
1178	#120	C₂²×D₃	1	8	yes	—
1179	C₄×Q₈	—	3	2	no	—
1180	C₄×Q₈	—	3	4	no	—
1181	C₄×Q₈	—	3	1	no	—
1182	C₄×Q₈	—	3	1	no	—
1183	C₄×Q₈	—	3	2	no	—
1184	C₄×Q₈	—	3	1	no	—
1185	C₄×Q₈	—	3	1	no	—
1186	C₄×Q₈	—	3	2	no	—
1187	C₄×D₄	—	3	2	no	—
1188	C₄×D₄	—	3	2	no	—
1189	C₄×D₄	—	3	8	no	—
1190	C₄×D₄	—	3	8	no	—
1191	C₄×D₄	—	3	4	no	—
1192	C₄×D₄	—	3	4	no	—
1193	C₄×D₄	—	3	4	no	—
1194	C₄×D₄	—	3	4	no	—
1195	C₄×D₄	—	3	4	no	—
1196	C₄×D₄	—	3	4	no	—
1197	C₄×D₄	—	3	4	no	—
1198	C₄×D₄	—	3	4	no	—
1199	C₄×D₄	—	3	4	no	—
1200	C₄×D₄	—	3	2	no	—
1201	C₄×D₄	—	3	2	no	—
1202	C₄×D₄	—	3	4	no	—
1203	C₄×D₄	—	3	2	no	—
1204	C₄×D₄	—	3	2	no	—
1205	C₄×D₄	—	3	8	no	—
1206	C₄×D₄	—	3	4	no	—
1207	C₄×D₄	—	3	4	no	—
1208	C₄×D₄	—	3	4	no	—
1209	C₄×D₄	—	3	4	no	—
1210	C₄×D₄	—	3	8	no	—
1211	C₄×D₄	—	3	2	no	—
1212	C₄×D₄	—	3	4	no	—
1213	C₄×D₄	—	3	4	no	—
1214	C₄×D₄	—	3	4	no	—
1215	C₄×D₄	—	3	8	no	—
1216	C₄×D₄	—	3	8	no	—
1217	C₄×D₄	—	3	2	no	—
1218	C₄×D₄	—	3	1	no	—
1219	C₄×D₄	—	3	1	no	—
1220	C₄×D₄	—	3	1	no	—
1221	C₄×D₄	—	3	1	no	—
1222	C₄×D₄	—	3	2	no	—
1223	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1224	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₃	1	2	yes	—
1226	C₄×D₄	C₂²×D₃	1	2	yes	—
1227	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₃	1	2	yes	—
1229	C₄×D₄	C₂²×D₃	1	2	yes	—
1230	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1231	C₄×D₄	C₂²×D₃	1	2	yes	—
1232	C₄×D₄	C₂²×D₃	1	2	yes	—
1233	#117	—	3	1	no	—
1234	#117	—	3	2	no	—
1235	#117	—	3	4	no	—
1236	#117	—	3	4	no	—
1237	#117	—	3	2	no	—
1238	#117	—	3	2	no	—
1239	#117	—	3	1	no	—
1240	#117	—	3	4	no	—
1241	#117	—	3	4	no	—
1242	#117	—	3	2	no	—
1243	#117	—	3	4	no	—
1244	#117	—	3	4	no	—
1245	#117	—	3	8	no	—
1246	#117	—	3	2	no	—
1247	#117	—	3	2	no	—
1248	C₂×C₄⋊C₄	—	3	2	no	—
1249	C₂×C₄⋊C₄	—	3	2	no	—
1250	C₂×C₄⋊C₄	—	3	2	no	—
1251	C₂×C₄⋊C₄	—	3	4	no	—
1252	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1254	C₂×C₂²⋊C₄	—	3	4	no	—
1255	C₂×C₂²⋊C₄	—	3	8	no	—
1256	C₂×C₂²⋊C₄	—	3	8	no	—
1257	C₂×C₂²⋊C₄	—	3	8	no	—
1258	C₂×C₂²⋊C₄	—	3	8	no	—
1259	C₂×C₂²⋊C₄	—	3	8	no	—
1260	C₂×C₂²⋊C₄	—	3	4	no	—
1261	C₂×C₂²⋊C₄	—	3	8	no	—
1262	C₂×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
1263	C₂×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
1264	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
1265	C₂×C₄²	—	3	4	no	—
1266	C₂×C₄²	—	3	2	no	—
1267	C₂×C₄²	—	3	2	no	—
1268	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1269	C₂³×C₃	—	2	4	no	—
1270	C₂³×C₃	—	2	4	no	—
1271	C₂³×C₃	—	2	4	no	—
1272	C₂³×C₃	—	2	8	no	—
1273	C₂³×C₃	—	2	16	no	—
1274	C₂³×C₃	—	4	2	no	—
1275	C₂³×C₃	—	4	2	no	—
1276	C₂³×C₃	—	4	2	no	—
1277	C₂³×C₃	—	4	8	no	—
1278	C₂³×C₃	—	4	8	no	—
1279	C₂³×C₃	—	4	8	no	—
1280	C₂³×C₃	—	4	4	no	—
1281	C₂³×C₃	—	4	8	no	—
1282	C₂³×C₃	—	4	8	no	—
1283	C₂³×C₃	—	4	4	no	—
1284	C₂³×C₃	—	8	32	no	—
1285	C₂³×C₃	C₂⁵	1	2	yes	—
1286	C₂³×C₃	C₂⁵	1	4	yes	—
1287	C₂³×C₃	C₂⁵	1	8	yes	—
1288	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1289	C₂³×C₃	C₂⁵	1	2	yes	—
1290	C₂²×D₃	—	2	8	no	—
1291	C₂²×D₃	—	4	4	no	—
1292	C₂²×D₃	—	4	4	no	—
1293	C₂²×D₃	—	4	8	no	—
1294	C₂²×D₃	—	4	8	no	—
1295	C₂²×D₃	—	4	8	no	—
1296	C₂²×D₃	C₂⁵	1	2	yes	—
1297	C₂²×D₃	C₂⁵	1	4	yes	—
1298	C₂²×D₃	C₂⁵	1	2	yes	—
1299	C₃×D₄	—	2	16	no	—
1300	C₃×D₄	—	2	4	no	—
1301	C₃×D₄	—	2	8	no	—
1302	C₃×D₄	—	2	8	no	—
1303	C₃×D₄	—	2	8	no	—
1304	C₃×D₄	—	2	4	no	—
1305	C₃×D₄	—	2	2	no	—
1306	C₃×D₄	—	2	4	no	—
1307	C₃×D₄	—	4	4	no	—
1308	C₃×D₄	—	4	4	no	—
1309	C₃×D₄	—	4	8	no	—
1310	C₃×D₄	—	4	8	no	—
1311	C₃×D₄	—	4	8	no	—
1312	C₃×D₄	—	4	4	no	—
1313	C₃×D₄	H(5,𝔽₂)	1	4	yes	complemented
1314	C₂×C₃×C₄	—	2	4	no	—
1315	C₂×C₃×C₄	—	2	4	no	—
1316	C₂×C₃×C₄	—	2	4	no	—
1317	C₂×C₃×C₄	—	2	4	no	—
1318	C₂×C₃×C₄	—	2	4	no	—
1319	C₂×C₃×C₄	—	2	8	no	—
1320	C₂×C₃×C₄	—	2	2	no	—
1321	C₂×C₃×C₄	—	4	2	no	—
1322	C₂×C₃×C₄	—	4	4	no	—
1323	C₂×C₃×C₄	—	4	1	no	—
1324	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	complemented
1325	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1326	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1327	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1328	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1329	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1330	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1331	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1332	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1333	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1334	#67	—	2	4	no	—
1335	#67	—	2	8	no	—
1336	#67	—	2	4	no	—
1337	#67	—	2	8	no	—
1338	#67	—	2	8	no	—
1339	#67	—	4	4	no	—
1340	#67	—	4	4	no	—
1341	#67	—	4	8	no	—
1342	#67	—	4	4	no	—
1343	#67	—	4	4	no	—
1344	#67	—	4	8	no	—
1345	#67	—	4	8	no	—
1346	#67	—	4	8	no	—
1347	#67	—	4	8	no	—
1348	#67	—	4	8	no	—
1349	#67	—	4	8	no	—
1350	#67	—	4	4	no	—
1351	#67	—	4	8	no	—
1352	#67	—	4	4	no	—
1353	#67	—	4	4	no	—
1354	#67	—	4	4	no	—
1355	C₂×Dic₃	—	2	8	no	—
1356	C₂×Dic₃	—	4	4	no	—
1357	C₂×Dic₃	—	4	8	no	—
1358	C₂×Dic₃	—	4	8	no	—
1359	C₂×Dic₃	—	4	8	no	—
1360	C₂×Dic₃	—	4	4	no	—
1361	C₂×Dic₃	C₂⁵	1	2	yes	—
1362	C₂×Dic₃	C₂⁵	1	4	yes	—
1363	C₂×Dic₃	C₂⁵	1	2	yes	—
1364	C₂×Dic₃	C₂⁵	1	2	yes	—
1365	C₂×Dic₃	C₂⁵	1	2	yes	—
1366	C₂×Dic₃	C₂⁵	1	4	yes	—
1367	C₂×Dic₃	C₂⁵	1	2	yes	—
1368	C₂×Dic₃	C₂⁵	1	4	yes	—
1369	C₂×Dic₃	C₂⁵	1	2	yes	—
1370	D₁₂	—	2	2	no	—
1371	D₁₂	—	2	4	no	—
1372	D₁₂	—	2	2	no	—
1373	D₁₂	—	2	4	no	—
1374	D₁₂	—	4	4	no	—
1375	D₁₂	—	4	4	no	—
1376	D₁₂	—	4	2	no	—
1377	C₄×D₃	—	2	4	no	—
1378	C₄×D₃	—	2	8	no	—
1379	C₄×D₃	—	2	4	no	—
1380	C₄×D₃	—	2	4	no	—
1381	C₄×D₃	—	2	4	no	—
1382	C₄×D₃	—	4	4	no	—
1383	C₄×D₃	—	4	4	no	—
1384	C₄×D₃	—	4	8	no	—
1385	C₄×D₃	—	4	2	no	—
1386	C₄×D₃	—	4	2	no	—
1387	Dic₆	—	2	2	no	—
1388	Dic₆	—	2	4	no	—
1389	Dic₆	—	2	2	no	—
1390	Dic₆	—	2	4	no	—
1391	Dic₆	—	4	4	no	—
1392	Dic₆	—	4	4	no	—
1393	Dic₆	—	4	2	no	—
1394	C₂⁴	—	3	4	no	—
1395	C₂⁴	—	3	8	no	—
1396	C₂⁴	—	4	8	no	—
1397	C₂⁴	—	4	8	no	—
1398	C₂⁴	—	8	4	no	—
1399	C₂⁴	C₂³×D₃	1	2	yes	—
1400	C₂⁴	C₂³×D₃	1	8	yes	—
1401	C₂⁴	C₂³×D₃	1	4	yes	—
1402	C₂⁴	C₂³×D₃	1	2	yes	—
1403	C₂⁴	C₂³×D₃	1	8	yes	—
1404	#41	—	6	8	no	—
1405	#41	—	6	4	no	—
1406	#41	—	6	8	no	—
1407	#41	—	6	4	no	—
1408	#41	—	12	8	no	—
1409	#41	—	12	8	no	—
1410	#41	—	12	8	no	—
1411	#41	—	12	4	no	—
1412	#41	—	12	4	no	—
1413	#41	—	12	8	no	—
1414	#41	—	12	16	no	—
1415	#41	—	12	8	no	—
1416	#41	—	12	8	no	—
1417	#41	—	12	8	no	—
1418	#41	—	24	4	no	—
1419	C₂×Q₈	—	3	1	no	—
1420	C₂×Q₈	—	3	2	no	—
1421	C₂×Q₈	—	3	1	no	—
1422	C₂×Q₈	—	3	2	no	—
1423	C₂×Q₈	—	3	2	no	—
1424	C₂×Q₈	—	3	4	no	—
1425	C₂×Q₈	—	3	4	no	—
1426	C₂×Q₈	—	12	4	no	—
1427	C₂×D₄	—	2	4	no	—
1428	C₂×D₄	—	2	16	no	—
1429	C₂×D₄	—	2	4	no	—
1430	C₂×D₄	—	2	8	no	—
1431	C₂×D₄	—	3	2	no	—
1432	C₂×D₄	—	3	4	no	—
1433	C₂×D₄	—	3	4	no	—
1434	C₂×D₄	—	3	2	no	—
1435	C₂×D₄	—	3	4	no	—
1436	C₂×D₄	—	3	4	no	—
1437	C₂×D₄	—	3	4	no	—
1438	C₂×D₄	—	3	4	no	—
1439	C₂×D₄	—	3	8	no	—
1440	C₂×D₄	—	3	8	no	—
1441	C₂×D₄	—	3	8	no	—
1442	C₂×D₄	—	3	4	no	—
1443	C₂×D₄	—	3	4	no	—
1444	C₂×D₄	—	3	4	no	—
1445	C₂×D₄	—	3	4	no	—
1446	C₂×D₄	—	3	8	no	—
1447	C₂×D₄	—	3	8	no	—
1448	C₂×D₄	—	3	8	no	—
1449	C₂×D₄	—	3	8	no	—
1450	C₂×D₄	—	3	4	no	—
1451	C₂×D₄	—	3	8	no	—
1452	C₂×D₄	—	3	1	no	—
1453	C₂×D₄	—	3	2	no	—
1454	C₂×D₄	—	3	2	no	—
1455	C₂×D₄	—	3	1	no	—
1456	C₂×D₄	—	3	2	no	—
1457	C₂×D₄	—	3	4	no	—
1458	C₂×D₄	—	3	4	no	—
1459	C₂×D₄	—	4	8	no	—
1460	C₂×D₄	—	4	8	no	—
1461	C₂×D₄	—	4	8	no	—
1462	C₂×D₄	—	4	8	no	—
1463	C₂×D₄	—	4	4	no	—
1464	C₂×D₄	—	4	8	no	—
1465	C₂×D₄	—	4	8	no	—
1466	C₂×D₄	—	4	16	no	—
1467	C₂×D₄	—	4	8	no	—
1468	C₂×D₄	—	6	8	no	—
1469	C₂×D₄	—	8	2	no	—
1470	C₂×D₄	—	12	4	no	—
1471	C₂×D₄	—	12	8	no	—
1472	C₂×D₄	—	12	8	no	—
1473	C₂×D₄	—	12	8	no	—
1474	C₂×D₄	—	12	16	no	—
1475	C₂×D₄	—	12	16	no	—
1476	C₂×D₄	—	12	8	no	—
1477	C₂×D₄	—	12	16	no	—
1478	C₂×D₄	—	12	16	no	—
1479	C₂×D₄	—	24	4	no	—
1480	C₂×D₄	—	24	8	no	—
1481	C₂×D₄	—	24	8	no	—
1482	C₂×D₄	C₂³×D₃	1	8	yes	—
1483	C₂×D₄	C₂³×D₃	1	4	yes	—
1484	C₂×D₄	C₂³×D₃	1	4	yes	—
1485	C₂×D₄	C₂³×D₃	1	4	yes	—
1486	C₂×D₄	C₂³×D₃	1	2	yes	—
1487	C₂×D₄	C₂³×D₃	1	2	yes	—
1488	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₃	1	2	yes	—
1490	C₂×D₄	C₂³×D₃	1	4	yes	—
1491	C₂×D₄	C₂³×D₃	1	4	yes	—
1492	C₂×D₄	C₂³×D₃	1	4	yes	—
1493	C₂×D₄	C₂³×D₃	1	8	yes	—
1494	C₂×D₄	C₂³×D₃	1	8	yes	—
1495	C₂×D₄	C₂³×D₃	1	8	yes	—
1496	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1497	C₂²×C₄	—	2	8	no	—
1498	C₂²×C₄	—	3	4	no	—
1499	C₂²×C₄	—	3	4	no	—
1500	C₂²×C₄	—	3	4	no	—
1501	C₂²×C₄	—	3	8	no	—
1502	C₂²×C₄	—	3	8	no	—
1503	C₂²×C₄	—	3	8	no	—
1504	C₂²×C₄	—	3	2	no	—
1505	C₂²×C₄	—	3	2	no	—
1506	C₂²×C₄	—	3	2	no	—
1507	C₂²×C₄	—	3	2	no	—
1508	C₂²×C₄	—	3	4	no	—
1509	C₂²×C₄	—	3	2	no	—
1510	C₂²×C₄	—	3	2	no	—
1511	C₂²×C₄	—	3	4	no	—
1512	C₂²×C₄	—	3	8	no	—
1513	C₂²×C₄	—	3	4	no	—
1514	C₂²×C₄	—	4	4	no	—
1515	C₂²×C₄	—	12	8	no	—
1516	C₂²×C₄	C₂³×D₃	1	2	yes	—
1517	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1518	C₂²×C₄	C₂³×D₃	1	2	yes	—
1519	C₂²×C₄	C₂³×D₃	1	2	yes	—
1520	C₂²×C₄	C₂³×D₃	1	2	yes	—
1521	C₂²×C₄	C₂³×D₃	1	2	yes	—
1522	C₂²×C₄	C₂³×D₃	1	4	yes	—
1523	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₃	1	2	yes	—
1525	C₂²×C₄	C₂³×D₃	1	4	yes	—
1526	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1527	C₄⋊C₄	—	3	2	no	—
1528	C₄⋊C₄	—	3	1	no	—
1529	C₄⋊C₄	—	3	1	no	—
1530	C₄⋊C₄	—	3	2	no	—
1531	C₄⋊C₄	—	3	2	no	—
1532	C₄⋊C₄	—	3	4	no	—
1533	C₄⋊C₄	—	3	4	no	—
1534	C₄⋊C₄	—	3	4	no	—
1535	C₄⋊C₄	—	3	8	no	—
1536	C₄⋊C₄	—	3	2	no	—
1537	C₄⋊C₄	—	3	4	no	—
1538	C₄⋊C₄	—	3	4	no	—
1539	C₄⋊C₄	—	3	1	no	—
1540	C₄⋊C₄	—	3	1	no	—
1541	C₄⋊C₄	—	3	4	no	—
1542	C₄⋊C₄	—	3	4	no	—
1543	C₄⋊C₄	—	3	4	no	—
1544	C₄⋊C₄	—	3	2	no	—
1545	C₄⋊C₄	—	3	2	no	—
1546	C₄⋊C₄	—	3	4	no	—
1547	C₄⋊C₄	—	3	2	no	—
1548	C₄⋊C₄	—	3	2	no	—
1549	C₄⋊C₄	—	3	2	no	—
1550	C₄⋊C₄	—	3	4	no	—
1551	C₄⋊C₄	—	3	4	no	—
1552	C₄⋊C₄	—	3	4	no	—
1553	C₄⋊C₄	—	3	2	no	—
1554	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1555	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1556	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1557	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1558	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1559	C₂²⋊C₄	—	3	2	no	—
1560	C₂²⋊C₄	—	3	4	no	—
1561	C₂²⋊C₄	—	3	4	no	—
1562	C₂²⋊C₄	—	3	2	no	—
1563	C₂²⋊C₄	—	3	4	no	—
1564	C₂²⋊C₄	—	3	4	no	—
1565	C₂²⋊C₄	—	3	8	no	—
1566	C₂²⋊C₄	—	3	4	no	—
1567	C₂²⋊C₄	—	3	4	no	—
1568	C₂²⋊C₄	—	3	8	no	—
1569	C₂²⋊C₄	—	3	4	no	—
1570	C₂²⋊C₄	—	3	4	no	—
1571	C₂²⋊C₄	—	3	4	no	—
1572	C₂²⋊C₄	—	3	8	no	—
1573	C₂²⋊C₄	—	3	4	no	—
1574	C₂²⋊C₄	—	3	4	no	—
1575	C₂²⋊C₄	—	3	8	no	—
1576	C₂²⋊C₄	—	3	8	no	—
1577	C₂²⋊C₄	—	3	8	no	—
1578	C₂²⋊C₄	—	3	8	no	—
1579	C₂²⋊C₄	—	3	8	no	—
1580	C₂²⋊C₄	—	3	4	no	—
1581	C₂²⋊C₄	—	3	4	no	—
1582	C₂²⋊C₄	—	3	4	no	—
1583	C₂²⋊C₄	—	3	4	no	—
1584	C₂²⋊C₄	—	3	2	no	—
1585	C₂²⋊C₄	—	3	4	no	—
1586	C₂²⋊C₄	—	3	2	no	—
1587	C₂²⋊C₄	—	3	8	no	—
1588	C₂²⋊C₄	—	3	2	no	—
1589	C₂²⋊C₄	—	3	2	no	—
1590	C₂²⋊C₄	—	3	4	no	—
1591	C₂²⋊C₄	—	3	4	no	—
1592	C₂²⋊C₄	—	3	4	no	—
1593	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1594	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1595	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1596	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1597	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1598	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1599	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1600	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1601	C₄²	—	3	2	no	—
1602	C₄²	—	3	4	no	—
1603	C₄²	—	3	2	no	—
1604	C₄²	—	3	2	no	—
1605	C₄²	—	3	2	no	—
1606	C₄²	—	3	4	no	—
1607	C₄²	—	3	4	no	—
1608	C₄²	—	3	2	no	—
1609	C₄²	—	3	2	no	—
1610	C₄²	—	3	8	no	—
1611	C₄²	C₂³×D₃	1	1	yes	characteristic
1612	C₄²	C₂³×D₃	1	1	yes	characteristic
1613	C₄²	C₂³×D₃	1	1	yes	characteristic
1614	C₄²	C₂³×D₃	1	1	yes	characteristic
1615	C₂²×C₃	—	2	2	no	—
1616	C₂²×C₃	—	2	1	no	—
1617	C₂²×C₃	—	2	2	no	—
1618	C₂²×C₃	—	2	1	no	—
1619	C₂²×C₃	—	2	8	no	—
1620	C₂²×C₃	—	2	8	no	—
1621	C₂²×C₃	—	2	2	no	—
1622	C₂²×C₃	—	2	4	no	—
1623	C₂²×C₃	—	2	2	no	—
1624	C₂²×C₃	—	2	4	no	—
1625	C₂²×C₃	—	2	8	no	—
1626	C₂²×C₃	—	2	2	no	—
1627	C₂²×C₃	—	2	4	no	—
1628	C₂²×C₃	—	4	8	no	—
1629	C₂²×C₃	—	4	8	no	—
1630	C₂²×C₃	—	8	16	no	—
1631	C₂²×C₃	—	8	8	no	—
1632	C₂²×C₃	—	8	16	no	—
1633	C₂²×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
1634	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1635	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1636	C₂×D₃	—	2	2	no	—
1637	C₂×D₃	—	2	4	no	—
1638	C₂×D₃	—	2	2	no	—
1639	C₂×D₃	—	2	2	no	—
1640	C₂×D₃	—	2	2	no	—
1641	C₂×D₃	—	2	4	no	—
1642	C₂×D₃	—	2	2	no	—
1643	C₂×D₃	—	2	2	no	—
1644	C₂×D₃	—	2	4	no	—
1645	C₂×D₃	—	8	8	no	—
1646	C₂×D₃	—	16	8	no	—
1647	C₃×C₄	—	2	2	no	—
1648	C₃×C₄	—	2	4	no	—
1649	C₃×C₄	—	2	2	no	—
1650	C₃×C₄	—	2	1	no	—
1651	C₃×C₄	—	2	1	no	—
1652	C₃×C₄	—	2	1	no	—
1653	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1654	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1655	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1656	Dic₃	—	2	2	no	—
1657	Dic₃	—	2	4	no	—
1658	Dic₃	—	2	2	no	—
1659	Dic₃	—	2	4	no	—
1660	Dic₃	—	2	2	no	—
1661	Dic₃	—	2	2	no	—
1662	Dic₃	—	2	4	no	—
1663	Dic₃	—	2	2	no	—
1664	Dic₃	—	2	2	no	—
1665	C₂³	—	2	4	no	—
1666	C₂³	—	2	4	no	—
1667	C₂³	—	2	4	no	—
1668	C₂³	—	2	16	no	—
1669	C₂³	—	2	8	no	—
1670	C₂³	—	3	2	no	—
1671	C₂³	—	3	4	no	—
1672	C₂³	—	3	2	no	—
1673	C₂³	—	4	2	no	—
1674	C₂³	—	4	2	no	—
1675	C₂³	—	4	2	no	—
1676	C₂³	—	4	8	no	—
1677	C₂³	—	4	4	no	—
1678	C₂³	—	4	8	no	—
1679	C₂³	—	4	8	no	—
1680	C₂³	—	4	4	no	—
1681	C₂³	—	4	8	no	—
1682	C₂³	—	4	8	no	—
1683	C₂³	—	6	8	no	—
1684	C₂³	—	8	32	no	—
1685	C₂³	—	12	4	no	—
1686	C₂³	—	12	4	no	—
1687	C₂³	—	12	8	no	—
1688	C₂³	—	12	8	no	—
1689	C₂³	—	12	8	no	—
1690	C₂³	C₂⁴×D₃	1	2	yes	—
1691	C₂³	C₂⁴×D₃	1	4	yes	—
1692	C₂³	C₂⁴×D₃	1	8	yes	—
1693	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1694	C₂³	C₂⁴×D₃	1	2	yes	—
1695	Q₈	—	6	2	no	—
1696	Q₈	—	6	4	no	—
1697	Q₈	—	6	4	no	—
1698	Q₈	—	6	2	no	—
1699	Q₈	—	12	4	no	—
1700	Q₈	—	12	4	no	—
1701	Q₈	—	12	2	no	—
1702	D₄	—	2	4	no	—
1703	D₄	—	2	16	no	—
1704	D₄	—	2	2	no	—
1705	D₄	—	2	4	no	—
1706	D₄	—	2	4	no	—
1707	D₄	—	2	8	no	—
1708	D₄	—	2	8	no	—
1709	D₄	—	2	8	no	—
1710	D₄	—	4	8	no	—
1711	D₄	—	4	8	no	—
1712	D₄	—	4	4	no	—
1713	D₄	—	4	8	no	—
1714	D₄	—	4	4	no	—
1715	D₄	—	4	4	no	—
1716	D₄	—	6	8	no	—
1717	D₄	—	6	4	no	—
1718	D₄	—	6	8	no	—
1719	D₄	—	6	8	no	—
1720	D₄	—	6	4	no	—
1721	D₄	—	6	4	no	—
1722	D₄	—	6	2	no	—
1723	D₄	—	6	4	no	—
1724	D₄	—	6	2	no	—
1725	D₄	—	12	4	no	—
1726	D₄	—	12	4	no	—
1727	D₄	—	12	2	no	—
1728	D₄	—	12	4	no	—
1729	D₄	—	12	8	no	—
1730	D₄	—	12	4	no	—
1731	D₄	—	12	8	no	—
1732	D₄	—	12	8	no	—
1733	D₄	—	12	8	no	—
1734	D₄	—	12	8	no	—
1735	D₄	—	12	4	no	—
1736	D₄	—	12	4	no	—
1737	D₄	—	12	4	no	—
1738	D₄	—	12	4	no	—
1739	D₄	—	12	8	no	—
1740	D₄	—	12	4	no	—
1741	D₄	—	12	4	no	—
1742	D₄	—	12	8	no	—
1743	D₄	—	12	8	no	—
1744	D₄	#1004	1	4	yes	complemented
1745	C₂×C₄	—	2	4	no	—
1746	C₂×C₄	—	2	4	no	—
1747	C₂×C₄	—	2	4	no	—
1748	C₂×C₄	—	2	4	no	—
1749	C₂×C₄	—	2	4	no	—
1750	C₂×C₄	—	2	2	no	—
1751	C₂×C₄	—	2	8	no	—
1752	C₂×C₄	—	3	4	no	—
1753	C₂×C₄	—	3	2	no	—
1754	C₂×C₄	—	3	2	no	—
1755	C₂×C₄	—	3	2	no	—
1756	C₂×C₄	—	3	2	no	—
1757	C₂×C₄	—	3	2	no	—
1758	C₂×C₄	—	3	4	no	—
1759	C₂×C₄	—	3	2	no	—
1760	C₂×C₄	—	3	4	no	—
1761	C₂×C₄	—	4	4	no	—
1762	C₂×C₄	—	4	2	no	—
1763	C₂×C₄	—	4	1	no	—
1764	C₂×C₄	—	6	8	no	—
1765	C₂×C₄	—	6	4	no	—
1766	C₂×C₄	—	6	8	no	—
1767	C₂×C₄	—	6	4	no	—
1768	C₂×C₄	—	6	4	no	—
1769	C₂×C₄	—	6	4	no	—
1770	C₂×C₄	—	12	4	no	—
1771	C₂×C₄	—	12	4	no	—
1772	C₂×C₄	—	12	8	no	—
1773	C₂×C₄	—	12	2	no	—
1774	C₂×C₄	—	12	2	no	—
1775	C₂×C₄	—	12	4	no	—
1776	C₂×C₄	—	12	8	no	—
1777	C₂×C₄	—	12	8	no	—
1778	C₂×C₄	—	12	4	no	—
1779	C₂×C₄	—	12	8	no	—
1780	C₂×C₄	#1004	1	4	yes	complemented
1781	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1782	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1783	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1784	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1785	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1786	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1787	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1788	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1789	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1790	C₂×C₃	—	2	4	no	—
1791	C₂×C₃	—	2	2	no	—
1792	C₂×C₃	—	4	8	no	—
1793	C₂×C₃	—	4	2	no	—
1794	C₂×C₃	—	4	4	no	—
1795	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1796	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1797	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1798	D₃	—	4	2	no	—
1799	D₃	—	4	4	no	—
1800	D₃	—	4	2	no	—
1801	C₂²	—	2	2	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	2	no	—
1805	C₂²	—	2	2	no	—
1806	C₂²	—	2	4	no	—
1807	C₂²	—	2	8	no	—
1808	C₂²	—	2	8	no	—
1809	C₂²	—	2	2	no	—
1810	C₂²	—	2	4	no	—
1811	C₂²	—	2	8	no	—
1812	C₂²	—	2	2	no	—
1813	C₂²	—	2	4	no	—
1814	C₂²	—	4	8	no	—
1815	C₂²	—	4	8	no	—
1816	C₂²	—	6	2	no	—
1817	C₂²	—	6	4	no	—
1818	C₂²	—	6	2	no	—
1819	C₂²	—	6	2	no	—
1820	C₂²	—	6	2	no	—
1821	C₂²	—	6	4	no	—
1822	C₂²	—	6	2	no	—
1823	C₂²	—	6	2	no	—
1824	C₂²	—	6	4	no	—
1825	C₂²	—	8	8	no	—
1826	C₂²	—	8	16	no	—
1827	C₂²	—	8	16	no	—
1828	C₂²	—	24	8	no	—
1829	C₂²	—	48	8	no	—
1830	C₂²	C₂×#1004	1	2	yes	—
1831	C₂²	C₂×#1004	1	4	yes	—
1832	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1833	C₄	—	2	2	no	—
1834	C₄	—	2	2	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	4	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	6	2	no	—
1840	C₄	—	6	2	no	—
1841	C₄	—	6	4	no	—
1842	C₄	—	6	2	no	—
1843	C₄	—	6	4	no	—
1844	C₄	—	6	2	no	—
1845	C₄	—	6	2	no	—
1846	C₄	—	6	2	no	—
1847	C₄	—	6	4	no	—
1848	C₄	C₂×#1004	1	2	yes	—
1849	C₄	C₂×#1004	1	2	yes	—
1850	C₄	C₂×#1004	1	2	yes	—
1851	C₃	#62912	1	1	yes	characteristic, complemented, Sylow
1852	C₂	—	2	2	no	—
1853	C₂	—	2	4	no	—
1854	C₂	—	4	2	no	—
1855	C₂	—	4	4	no	—
1856	C₂	—	4	8	no	—
1857	C₂	—	12	2	no	—
1858	C₂	—	12	4	no	—
1859	C₂	—	12	2	no	—
1860	C₂	C₂²×#1004	1	1	yes	characteristic
1861	C₂	C₂²×#1004	1	1	yes	characteristic
1862	C₂	#87568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₂×C₃×D₄²	C₂
hypercenter	C₂×D₄²	D₃
hypocenter	C₃	#62912
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₂×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₄²	C₂	semidirect
2. #87239	C₂	semidirect
3. #87239	C₂	semidirect
4. C₂×#5805	C₂	semidirect
5. #86625	C₂	semidirect
6. #86625	C₂	semidirect
7. #86624	C₂	semidirect
8. #86623	C₂	semidirect
9. #86621	C₂	semidirect
10. #86618	C₂	semidirect
11. #86617	C₂	semidirect
12. #86616	C₂	semidirect
13. #86615	C₂	semidirect
14. #86612	C₂	semidirect
15. #86610	C₂	semidirect
16. #86608	C₂	semidirect
17. #86195	C₂	semidirect
18. #86190	C₂	semidirect
19. #85956	C₂	semidirect
20. #85949	C₂	semidirect
21. #85936	C₂	semidirect
22. #85921	C₂	semidirect
23. #85788	C₂	semidirect
24. D₄×#235	C₂	semidirect
25. #85777	C₂	semidirect
26. #85764	C₂	semidirect
28. C₂³×C₃×D₄	C₂²	semidirect
29. C₂³×C₃×D₄	C₂²	semidirect
30. C₂×#1004	C₂²	semidirect
31. C₂×#1004	C₂²	semidirect
32. C₂²×#235	C₂²	semidirect
33. C₃×D₄²	C₂²	semidirect
34. C₃×D₄²	C₂²	semidirect
35. C₃×D₄²	C₂²	semidirect
36. C₃×D₄²	C₂²	semidirect
37. C₃×D₄²	C₂²	semidirect
38. C₃×D₄²	C₂²	semidirect
39. C₂×C₃×#127	C₂²	semidirect
40. C₂×C₃×#121	C₂²	semidirect
41. C₂×C₃×#121	C₂²	semidirect
42. C₂×C₃×#120	C₂²	semidirect
43. C₂×C₃×C₄×D₄	C₂²	semidirect
44. C₂×C₃×C₄×D₄	C₂²	semidirect
45. C₂×#953	C₂²	semidirect
46. C₂×#953	C₂²	semidirect
47. #5806	C₂²	semidirect
48. #5806	C₂²	semidirect
49. #5806	C₂²	semidirect
50. #5806	C₂²	semidirect
51. #5806	C₂²	semidirect
52. #5806	C₂²	semidirect
53. #5806	C₂²	semidirect
54. #5806	C₂²	semidirect
55. #5806	C₂²	semidirect
56. #5806	C₂²	semidirect
57. #5806	C₂²	semidirect
58. #5805	C₂²	semidirect
59. #5805	C₂²	semidirect
60. #5805	C₂²	semidirect
61. #5805	C₂²	semidirect
62. #5805	C₂²	semidirect
63. #5805	C₂²	semidirect
64. #5805	C₂²	semidirect
65. #5805	C₂²	semidirect
66. #5805	C₂²	semidirect
67. #5805	C₂²	semidirect
68. #5805	C₂²	semidirect
69. #5805	C₂²	semidirect
70. #5804	C₂²	semidirect
71. #5804	C₂²	semidirect
72. #5804	C₂²	semidirect
73. C₂×#940	C₂²	semidirect
74. D₄×#67	C₂²	semidirect
75. D₄×#67	C₂²	semidirect
76. D₄×#67	C₂²	semidirect
77. D₄×#67	C₂²	semidirect
78. D₄×#67	C₂²	semidirect
79. D₄×#67	C₂²	semidirect
80. D₄×#67	C₂²	semidirect
81. D₄×#67	C₂²	semidirect
82. D₄×#67	C₂²	semidirect
83. D₄×#67	C₂²	semidirect
84. D₄×#67	C₂²	semidirect
85. C₂×#938	C₂²	semidirect
86. C₂×#938	C₂²	semidirect
87. #5798	C₂²	semidirect
88. #5798	C₂²	semidirect
89. C₂×#936	C₂²	semidirect
90. #5791	C₂²	semidirect
91. #5791	C₂²	semidirect
92. #5791	C₂²	semidirect
93. #5791	C₂²	semidirect
94. C₂×#926	C₂²	semidirect
95. #5719	C₂²	semidirect
96. #5718	C₂²	semidirect
97. #5718	C₂²	semidirect
98. #5718	C₂²	semidirect
99. #5718	C₂²	semidirect
100. #5717	C₂²	semidirect
101. #5717	C₂²	semidirect
102. #5716	C₂²	semidirect
103. #5716	C₂²	semidirect
104. #5716	C₂²	semidirect
105. #5715	C₂²	semidirect
106. D₃×#127	C₂²	semidirect
107. #5713	C₂²	semidirect
108. #5713	C₂²	semidirect
109. #5621	C₂²	semidirect
110. #5620	C₂²	semidirect
111. #5619	C₂²	semidirect
112. #5619	C₂²	semidirect
113. #5618	C₂²	semidirect
114. #5616	C₂²	semidirect
115. #5616	C₂²	semidirect
116. #5615	C₂²	semidirect
117. #5614	C₂²	semidirect
118. #5614	C₂²	semidirect
119. #5613	C₂²	semidirect
120. #5612	C₂²	semidirect
121. #5612	C₂²	semidirect
122. #5611	C₂²	semidirect
123. #5609	C₂²	semidirect
124. #5608	C₂²	semidirect
125. #5608	C₂²	semidirect
126. #5607	C₂²	semidirect
127. #5607	C₂²	semidirect
128. #5606	C₂²	semidirect
129. D₃×#121	C₂²	semidirect
130. #5603	C₂²	semidirect
131. #5603	C₂²	semidirect
132. #5600	C₂²	semidirect
133. #5599	C₂²	semidirect
134. #5599	C₂²	semidirect
135. #5598	C₂²	semidirect
136. #5596	C₂²	semidirect
137. #5595	C₂²	semidirect
138. #5595	C₂²	semidirect
139. #5595	C₂²	semidirect
140. #5594	C₂²	semidirect
141. #5593	C₂²	semidirect
142. #5593	C₂²	semidirect
143. #5593	C₂²	semidirect
144. #5593	C₂²	semidirect
145. #5592	C₂²	semidirect
146. #5592	C₂²	semidirect
147. #5591	C₂²	semidirect
148. #5591	C₂²	semidirect
149. #5590	C₂²	semidirect
150. #5589	C₂²	semidirect
151. #5589	C₂²	semidirect
152. #5587	C₂²	semidirect
153. #5565	C₂²	semidirect
154. #5563	C₂²	semidirect
155. #5563	C₂²	semidirect
156. #5562	C₂²	semidirect
157. #5562	C₂²	semidirect
158. #5561	C₂²	semidirect
159. #5561	C₂²	semidirect
160. #5559	C₂²	semidirect
161. #5558	C₂²	semidirect
162. #5557	C₂²	semidirect
163. #5557	C₂²	semidirect
164. #5557	C₂²	semidirect
165. #5555	C₂²	semidirect
166. #5553	C₂²	semidirect
167. #5553	C₂²	semidirect
168. #5552	C₂²	semidirect
169. #5551	C₂²	semidirect
170. #5551	C₂²	semidirect
171. #5550	C₂²	semidirect
172. D₄×D₁₂	C₂²	semidirect
173. #5548	C₂²	semidirect
174. #5548	C₂²	semidirect
175. #5548	C₂²	semidirect
176. #5547	C₂²	semidirect
177. C₄×D₃×D₄	C₂²	semidirect
178. #5543	C₂²	semidirect
179. #5542	C₂²	semidirect
180. #5542	C₂²	semidirect
181. #5541	C₂²	semidirect
182. #5538	C₂²	semidirect
183. D₄×Dic₆	C₂²	semidirect
184. C₄×#237	C₂²	semidirect
185. #5513	C₂²	semidirect
186. #5510	C₂²	semidirect
187. #5507	C₂²	semidirect
188. #5504	C₂²	semidirect
189. #5500	C₂²	semidirect
190. #5495	C₂²	semidirect
191. #5495	C₂²	semidirect
192. #5494	C₂²	semidirect
193. #5494	C₂²	semidirect
194. #5490	C₂²	semidirect
195. #5490	C₂²	semidirect
196. #5477	C₂²	semidirect
197. C₄×#235	C₂²	semidirect
198. C₄×#235	C₂²	semidirect
199. #5470	C₂²	semidirect
223. C₂×D₄²	D₃	semidirect
247. C₂²×#67	C₂³	semidirect
248. C₂²×#67	C₂³	semidirect
249. C₂²×#67	C₂³	semidirect
250. C₂²×#67	C₂³	semidirect
254. C₂×#237	C₂³	semidirect
255. C₂×#237	C₂³	semidirect
256. C₂×#237	C₂³	semidirect
257. C₂×#237	C₂³	semidirect
258. C₂×#237	C₂³	semidirect
260. C₂×D₃×D₄	C₂³	semidirect
261. C₂×D₃×D₄	C₂³	semidirect
262. C₂×D₃×D₄	C₂³	semidirect
263. C₂×D₃×D₄	C₂³	semidirect
264. C₂×D₃×D₄	C₂³	semidirect
270. C₂×#235	C₂³	semidirect
271. C₂×#235	C₂³	semidirect
272. C₂×#235	C₂³	semidirect
273. C₂×#235	C₂³	semidirect
274. C₂×#235	C₂³	semidirect
275. C₂²×D₁₂	C₂³	semidirect
276. C₂²×C₄×D₃	C₂³	semidirect
277. C₂²×Dic₆	C₂³	semidirect
316. #953	C₂³	semidirect
317. #953	C₂³	semidirect
318. #953	C₂³	semidirect
319. #953	C₂³	semidirect
320. #953	C₂³	semidirect
321. #953	C₂³	semidirect
322. #953	C₂³	semidirect
323. #953	C₂³	semidirect
326. C₂×#217	C₂³	semidirect
327. C₂×#217	C₂³	semidirect
328. C₂×#217	C₂³	semidirect
329. C₂×#217	C₂³	semidirect
334. #940	C₂³	semidirect
335. #940	C₂³	semidirect
336. #940	C₂³	semidirect
337. #940	C₂³	semidirect
338. #940	C₂³	semidirect
339. #940	C₂³	semidirect
340. #940	C₂³	semidirect
343. #939	C₂³	semidirect
344. #939	C₂³	semidirect
345. #939	C₂³	semidirect
346. #939	C₂³	semidirect
347. #939	C₂³	semidirect
348. #939	C₂³	semidirect
349. #939	C₂³	semidirect
350. #939	C₂³	semidirect
351. #939	C₂³	semidirect
352. #939	C₂³	semidirect
353. #939	C₂³	semidirect
354. #939	C₂³	semidirect
363. #938	C₂³	semidirect
364. #938	C₂³	semidirect
365. #938	C₂³	semidirect
366. #938	C₂³	semidirect
367. #938	C₂³	semidirect
368. #938	C₂³	semidirect
369. #938	C₂³	semidirect
370. #938	C₂³	semidirect
371. #938	C₂³	semidirect
372. #938	C₂³	semidirect
373. #938	C₂³	semidirect
374. #938	C₂³	semidirect
375. #938	C₂³	semidirect
376. #938	C₂³	semidirect
378. #937	C₂³	semidirect
379. #937	C₂³	semidirect
380. #937	C₂³	semidirect
381. #937	C₂³	semidirect
382. #937	C₂³	semidirect
383. #937	C₂³	semidirect
388. #936	C₂³	semidirect
389. #936	C₂³	semidirect
390. #936	C₂³	semidirect
391. #936	C₂³	semidirect
392. #936	C₂³	semidirect
393. #936	C₂³	semidirect
394. #936	C₂³	semidirect
396. #935	C₂³	semidirect
397. #935	C₂³	semidirect
398. #935	C₂³	semidirect
399. #935	C₂³	semidirect
400. #935	C₂³	semidirect
401. #935	C₂³	semidirect
404. D₄×Dic₃	C₂³	semidirect
405. D₄×Dic₃	C₂³	semidirect
406. D₄×Dic₃	C₂³	semidirect
407. D₄×Dic₃	C₂³	semidirect
408. D₄×Dic₃	C₂³	semidirect
409. D₄×Dic₃	C₂³	semidirect
410. D₄×Dic₃	C₂³	semidirect
411. D₄×Dic₃	C₂³	semidirect
412. D₄×Dic₃	C₂³	semidirect
413. D₄×Dic₃	C₂³	semidirect
417. #930	C₂³	semidirect
418. #930	C₂³	semidirect
419. #930	C₂³	semidirect
420. #930	C₂³	semidirect
421. #930	C₂³	semidirect
422. #930	C₂³	semidirect
425. #929	C₂³	semidirect
426. #929	C₂³	semidirect
427. #929	C₂³	semidirect
433. C₄×#67	C₂³	semidirect
434. C₄×#67	C₂³	semidirect
435. C₄×#67	C₂³	semidirect
436. C₄×#67	C₂³	semidirect
437. C₄×#67	C₂³	semidirect
438. C₄×#67	C₂³	semidirect
439. C₄×#67	C₂³	semidirect
444. #926	C₂³	semidirect
445. #926	C₂³	semidirect
446. #926	C₂³	semidirect
447. #926	C₂³	semidirect
448. #926	C₂³	semidirect
449. C₂×C₄⋊Dic₃	C₂³	semidirect
450. C₂×C₄⋊Dic₃	C₂³	semidirect
454. #924	C₂³	semidirect
455. #924	C₂³	semidirect
456. #924	C₂³	semidirect
457. #924	C₂³	semidirect
458. #924	C₂³	semidirect
459. #924	C₂³	semidirect
460. C₂×C₄×Dic₃	C₂³	semidirect
461. #898	C₂³	semidirect
462. #897	C₂³	semidirect
463. #897	C₂³	semidirect
464. #897	C₂³	semidirect
465. #896	C₂³	semidirect
466. #895	C₂³	semidirect
467. #895	C₂³	semidirect
468. #895	C₂³	semidirect
469. #894	C₂³	semidirect
470. #893	C₂³	semidirect
471. #893	C₂³	semidirect
472. #892	C₂³	semidirect
473. #892	C₂³	semidirect
474. D₃×C₄⋊C₄	C₂³	semidirect
475. D₃×C₄⋊C₄	C₂³	semidirect
476. #890	C₂³	semidirect
477. #890	C₂³	semidirect
478. #890	C₂³	semidirect
479. #889	C₂³	semidirect
480. #888	C₂³	semidirect
481. #888	C₂³	semidirect
482. #888	C₂³	semidirect
483. #887	C₂³	semidirect
484. #887	C₂³	semidirect
485. #886	C₂³	semidirect
486. #886	C₂³	semidirect
487. #885	C₂³	semidirect
488. #885	C₂³	semidirect
489. #885	C₂³	semidirect
490. #885	C₂³	semidirect
491. #885	C₂³	semidirect
492. #885	C₂³	semidirect
493. #885	C₂³	semidirect
494. #884	C₂³	semidirect
495. #884	C₂³	semidirect
496. #884	C₂³	semidirect
497. #884	C₂³	semidirect
498. #884	C₂³	semidirect
499. #884	C₂³	semidirect
500. #884	C₂³	semidirect
501. #883	C₂³	semidirect
502. #883	C₂³	semidirect
503. #883	C₂³	semidirect
504. #883	C₂³	semidirect
505. #883	C₂³	semidirect
506. #883	C₂³	semidirect
507. #883	C₂³	semidirect
508. #882	C₂³	semidirect
509. #882	C₂³	semidirect
510. #67⋊C₄	C₂³	semidirect
511. #67⋊C₄	C₂³	semidirect
512. #67⋊C₄	C₂³	semidirect
513. #67⋊C₄	C₂³	semidirect
514. D₃×C₂²⋊C₄	C₂³	semidirect
515. D₃×C₂²⋊C₄	C₂³	semidirect
516. #879	C₂³	semidirect
517. #879	C₂³	semidirect
518. #879	C₂³	semidirect
519. #879	C₂³	semidirect
520. #879	C₂³	semidirect
521. #879	C₂³	semidirect
522. #879	C₂³	semidirect
523. #878	C₂³	semidirect
524. #878	C₂³	semidirect
525. #878	C₂³	semidirect
526. #878	C₂³	semidirect
527. #877	C₂³	semidirect
528. #877	C₂³	semidirect
529. #875	C₂³	semidirect
530. #874	C₂³	semidirect
531. C₄×D₁₂	C₂³	semidirect
532. C₄×D₁₂	C₂³	semidirect
533. C₄×D₁₂	C₂³	semidirect
534. C₄×D₁₂	C₂³	semidirect
535. C₄×D₁₂	C₂³	semidirect
536. C₄×D₁₂	C₂³	semidirect
537. #872	C₂³	semidirect
538. #872	C₂³	semidirect
539. C₄²×D₃	C₂³	semidirect
540. C₄²×D₃	C₂³	semidirect
541. #870	C₂³	semidirect
542. #869	C₂³	semidirect
543. #869	C₂³	semidirect
544. #869	C₂³	semidirect
545. C₄×Dic₆	C₂³	semidirect
546. C₄×Dic₆	C₂³	semidirect
547. C₄×Dic₆	C₂³	semidirect
548. C₄×Dic₆	C₂³	semidirect
549. C₄×Dic₆	C₂³	semidirect
550. C₄×Dic₆	C₂³	semidirect
554. C₂³×D₄	C₂×D₃	semidirect
555. C₂³×D₄	C₂×D₃	semidirect
632. D₄²	C₂×D₃	semidirect
633. D₄²	C₂×D₃	semidirect
634. D₄²	C₂×D₃	semidirect
635. D₄²	C₂×D₃	semidirect
636. D₄²	C₂×D₃	semidirect
637. D₄²	C₂×D₃	semidirect
692. C₂×#127	C₂×D₃	semidirect
708. C₂×#121	C₂×D₃	semidirect
709. C₂×#121	C₂×D₃	semidirect
712. C₂×#120	C₂×D₃	semidirect
720. C₂×C₄×D₄	C₂×D₃	semidirect
721. C₂×C₄×D₄	C₂×D₃	semidirect
1313. C₃×D₄	H(5,𝔽₂)	semidirect
1324. C₂×C₃×C₄	H(5,𝔽₂)	semidirect
1744. D₄	#1004	semidirect
1780. C₂×C₄	#1004	semidirect
1851. C₃	#62912	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₄²	2
#87239	2
C₂×#5805	2
#86625	2
#86624	2
#86623	2
#86621	2
#86618	2
#86617	2
#86616	2
#86615	2
#86612	2
#86610	2
#86608	2
#86195	2
#86190	2
#85956	2
#85949	2
#85936	2
#85921	2
#85788	2
D₄×#235	2
#85777	2
#85764	2
#62912	3