Subgroups — #11705515

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	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
2	#87069	C₂	1	4	yes	maximal, complemented
3	#87066	C₂	1	4	yes	maximal, complemented
4	#87009	C₂	1	2	yes	maximal, complemented
5	#86986	C₂	1	2	yes	maximal, complemented
6	#86968	C₂	1	2	yes	maximal, complemented
7	#86964	C₂	1	2	yes	maximal, complemented
8	#86916	C₂	1	4	yes	maximal, complemented
9	#86895	C₂	1	4	yes	maximal, complemented
10	#86787	C₂	1	2	yes	maximal, complemented
11	#86770	C₂	1	2	yes	maximal, complemented
12	#86707	C₂	1	2	yes	maximal, complemented
13	#86702	C₂	1	2	yes	maximal, complemented
14	#86418	C₂	1	8	yes	maximal, complemented
15	#86330	C₂	1	2	yes	maximal, complemented
16	D₃×#535	C₂	1	2	yes	maximal, complemented
17	#86276	C₂	1	1	yes	maximal, characteristic, complemented
18	#86261	C₂	1	1	yes	maximal, characteristic, complemented
19	#86242	C₂	1	1	yes	maximal, characteristic, complemented
20	#86238	C₂	1	1	yes	maximal, characteristic, complemented
21	#86058	C₂	1	4	yes	maximal, complemented
22	#86039	C₂	1	4	yes	maximal, complemented
23	#85903	C₂	1	2	yes	maximal, complemented
24	#85900	C₂	1	2	yes	maximal, complemented
25	C₂×D₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
26	#85777	C₂	1	1	yes	maximal, characteristic, complemented
27	#62912	—	3	1	no	maximal, Sylow
28	C₂×#1009	C₂²	1	2	yes	complemented
29	C₂×#1009	C₂²	1	4	yes	complemented
30	C₂×D₃×#41	C₂²	1	2	yes	complemented
31	C₂²×D₃×D₄	C₂²	1	2	yes	complemented
32	C₂³×D₁₂	C₂²	1	2	yes	complemented
33	C₃×#559	C₂²	1	4	yes	complemented
34	C₃×#556	C₂²	1	2	yes	complemented
35	C₃×#555	C₂²	1	2	yes	complemented
36	C₃×#553	C₂²	1	4	yes	complemented
37	C₃×#550	C₂²	1	2	yes	complemented
38	C₃×#547	C₂²	1	2	yes	complemented
39	C₃×#538	C₂²	1	4	yes	complemented
40	C₃×#535	C₂²	1	2	yes	complemented
41	C₃×#533	C₂²	1	1	yes	characteristic, complemented
42	C₃×#532	C₂²	1	1	yes	characteristic, complemented
43	C₃×#525	C₂²	1	4	yes	complemented
44	C₃×#520	C₂²	1	2	yes	complemented
45	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
46	#5834	C₂²	1	4	yes	complemented
47	#5830	C₂²	1	2	yes	complemented
48	#5830	C₂²	1	4	yes	complemented
49	#5829	C₂²	1	4	yes	complemented
50	#5828	C₂²	1	2	yes	complemented
51	#5805	C₂²	1	1	yes	characteristic, complemented
52	#5805	C₂²	1	1	yes	characteristic, complemented
53	#5791	C₂²	1	4	yes	complemented
54	C₂×#930	C₂²	1	2	yes	complemented
55	#5734	C₂²	1	1	yes	characteristic, complemented
56	#5732	C₂²	1	1	yes	characteristic, complemented
57	#5730	C₂²	1	1	yes	characteristic, complemented
58	#5727	C₂²	1	1	yes	characteristic, complemented
59	#5726	C₂²	1	1	yes	characteristic, complemented
60	#5726	C₂²	1	1	yes	characteristic, complemented
61	#5725	C₂²	1	2	yes	complemented
62	#5725	C₂²	1	2	yes	complemented
63	#5725	C₂²	1	2	yes	complemented
64	#5718	C₂²	1	1	yes	characteristic, complemented
65	#5717	C₂²	1	1	yes	characteristic, complemented
66	#5717	C₂²	1	4	yes	complemented
67	#5717	C₂²	1	4	yes	complemented
68	#5715	C₂²	1	4	yes	complemented
69	D₃×#127	C₂²	1	2	yes	complemented
70	D₃×#127	C₂²	1	4	yes	complemented
71	#5711	C₂²	1	8	yes	complemented
72	#5705	C₂²	1	8	yes	complemented
73	#5704	C₂²	1	8	yes	complemented
74	#5704	C₂²	1	8	yes	complemented
75	#5697	C₂²	1	4	yes	complemented
76	#5695	C₂²	1	2	yes	complemented
77	#5694	C₂²	1	2	yes	complemented
78	#5683	C₂²	1	8	yes	complemented
79	#5678	C₂²	1	8	yes	complemented
80	#5677	C₂²	1	2	yes	complemented
81	#5676	C₂²	1	2	yes	complemented
82	#5676	C₂²	1	8	yes	complemented
83	#5676	C₂²	1	4	yes	complemented
84	#5676	C₂²	1	4	yes	complemented
85	#5674	C₂²	1	4	yes	complemented
86	#5674	C₂²	1	8	yes	complemented
87	#5674	C₂²	1	4	yes	complemented
88	D₃×#124	C₂²	1	4	yes	complemented
89	#5667	C₂²	1	8	yes	complemented
90	#5666	C₂²	1	8	yes	complemented
91	#5666	C₂²	1	8	yes	complemented
92	#5657	C₂²	1	8	yes	complemented
93	#5654	C₂²	1	8	yes	complemented
94	#5653	C₂²	1	8	yes	complemented
95	#5653	C₂²	1	8	yes	complemented
96	#5653	C₂²	1	8	yes	complemented
97	#5643	C₂²	1	4	yes	complemented
98	#5642	C₂²	1	2	yes	complemented
99	#5637	C₂²	1	4	yes	complemented
100	#5630	C₂²	1	2	yes	complemented
101	#5630	C₂²	1	4	yes	complemented
102	#5630	C₂²	1	4	yes	complemented
103	#5630	C₂²	1	4	yes	complemented
104	#5630	C₂²	1	4	yes	complemented
105	#5629	C₂²	1	4	yes	complemented
106	#5620	C₂²	1	8	yes	complemented
107	#5619	C₂²	1	4	yes	complemented
108	#5612	C₂²	1	4	yes	complemented
109	#5612	C₂²	1	4	yes	complemented
110	#5611	C₂²	1	2	yes	complemented
111	#5610	C₂²	1	4	yes	complemented
112	#5609	C₂²	1	2	yes	complemented
113	#5609	C₂²	1	8	yes	complemented
114	#5609	C₂²	1	4	yes	complemented
115	#5609	C₂²	1	4	yes	complemented
116	#5609	C₂²	1	4	yes	complemented
117	#5609	C₂²	1	4	yes	complemented
118	#5609	C₂²	1	4	yes	complemented
119	#5609	C₂²	1	4	yes	complemented
120	#5607	C₂²	1	8	yes	complemented
121	#5607	C₂²	1	4	yes	complemented
122	#5607	C₂²	1	4	yes	complemented
123	#5607	C₂²	1	4	yes	complemented
124	#5605	C₂²	1	8	yes	complemented
125	D₃×#121	C₂²	1	4	yes	complemented
126	D₃×#121	C₂²	1	4	yes	complemented
127	#5592	C₂²	1	8	yes	complemented
128	#5589	C₂²	1	8	yes	complemented
129	D₃×#120	C₂²	1	8	yes	complemented
130	D₃×#120	C₂²	1	8	yes	complemented
131	#5585	C₂²	1	2	yes	complemented
132	#5585	C₂²	1	2	yes	complemented
133	#5582	C₂²	1	4	yes	complemented
134	#5580	C₂²	1	4	yes	complemented
135	#5580	C₂²	1	2	yes	complemented
136	#5580	C₂²	1	4	yes	complemented
137	#5577	C₂²	1	2	yes	complemented
138	#5577	C₂²	1	2	yes	complemented
139	#5577	C₂²	1	4	yes	complemented
140	#5576	C₂²	1	4	yes	complemented
141	C₄×#239	C₂²	1	2	yes	complemented
142	#5562	C₂²	1	4	yes	complemented
143	#5562	C₂²	1	8	yes	complemented
144	#5562	C₂²	1	2	yes	complemented
145	#5562	C₂²	1	2	yes	complemented
146	#5561	C₂²	1	2	yes	complemented
147	#5561	C₂²	1	2	yes	complemented
148	#5560	C₂²	1	8	yes	complemented
149	#5557	C₂²	1	2	yes	complemented
150	#5557	C₂²	1	2	yes	complemented
151	#5556	C₂²	1	8	yes	complemented
152	#5554	C₂²	1	8	yes	complemented
153	#5554	C₂²	1	4	yes	complemented
154	#5553	C₂²	1	2	yes	complemented
155	#5553	C₂²	1	2	yes	complemented
156	#5550	C₂²	1	8	yes	complemented
157	#5550	C₂²	1	8	yes	complemented
158	D₄×D₁₂	C₂²	1	2	yes	complemented
159	D₄×D₁₂	C₂²	1	4	yes	complemented
160	D₄×D₁₂	C₂²	1	4	yes	complemented
161	D₄×D₁₂	C₂²	1	2	yes	complemented
162	D₄×D₁₂	C₂²	1	2	yes	complemented
163	D₄×D₁₂	C₂²	1	2	yes	complemented
164	D₄×D₁₂	C₂²	1	2	yes	complemented
165	D₄×D₁₂	C₂²	1	2	yes	complemented
166	D₄×D₁₂	C₂²	1	8	yes	complemented
167	D₄×D₁₂	C₂²	1	8	yes	complemented
168	D₄×D₁₂	C₂²	1	4	yes	complemented
169	#5548	C₂²	1	2	yes	complemented
170	#5548	C₂²	1	4	yes	complemented
171	#5548	C₂²	1	2	yes	complemented
172	#5548	C₂²	1	2	yes	complemented
173	#5547	C₂²	1	4	yes	complemented
174	C₄×D₃×D₄	C₂²	1	2	yes	complemented
175	#5532	C₂²	1	4	yes	complemented
176	#5532	C₂²	1	4	yes	complemented
177	#5530	C₂²	1	4	yes	complemented
178	#5530	C₂²	1	4	yes	complemented
179	#5525	C₂²	1	2	yes	complemented
180	#5525	C₂²	1	4	yes	complemented
181	#5525	C₂²	1	4	yes	complemented
182	#5524	C₂²	1	2	yes	complemented
183	#5524	C₂²	1	4	yes	complemented
184	#5521	C₂²	1	2	yes	complemented
185	#5521	C₂²	1	4	yes	complemented
186	D₃×#117	C₂²	1	2	yes	complemented
187	#5514	C₂²	1	4	yes	complemented
188	#5510	C₂²	1	4	yes	complemented
189	#5510	C₂²	1	1	yes	characteristic, complemented
190	#5507	C₂²	1	4	yes	complemented
191	C₂×#895	C₂²	1	2	yes	complemented
192	C₂×#895	C₂²	1	4	yes	complemented
193	#5500	C₂²	1	1	yes	characteristic, complemented
194	#5494	C₂²	1	4	yes	complemented
195	C₂×#882	C₂²	1	4	yes	complemented
196	C₂×#874	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	C₂×C₄×D₁₂	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	D₃	1	1	yes	characteristic, complemented
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	—	3	1	no	—
224	#3460	—	3	1	no	—
225	C₂×#535	—	3	2	no	—
226	C₂⁴×D₃	C₂³	1	4	yes	—
227	C₂×C₃×#41	C₂³	1	2	yes	—
228	C₂×C₃×#41	C₂³	1	4	yes	complemented
229	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
230	C₂³×C₃×C₄	C₂³	1	2	yes	—
231	C₂²×#67	C₂³	1	4	yes	—
232	#1009	—	4	8	no	—
233	#1009	—	4	16	no	—
234	D₃×#41	—	4	8	no	—
235	C₂×#239	C₂³	1	2	yes	—
236	C₂×#239	C₂³	1	2	yes	complemented
237	C₂×#239	C₂³	1	4	yes	complemented
238	C₂×#239	C₂³	1	4	yes	complemented
239	C₂×#239	C₂³	1	4	yes	complemented
240	C₂×D₃×Q₈	C₂³	1	2	yes	complemented
241	C₂×#237	C₂³	1	4	yes	—
242	C₂×#237	C₂³	1	2	yes	complemented
243	C₂×D₃×D₄	—	4	8	no	—
244	C₂×D₃×D₄	C₂³	1	2	yes	—
245	C₂×D₃×D₄	C₂³	1	4	yes	—
246	C₂×D₃×D₄	C₂³	1	4	yes	—
247	C₂×D₃×D₄	C₂³	1	4	yes	—
248	C₂×D₃×D₄	C₂³	1	4	yes	—
249	C₂×D₃×D₄	C₂³	1	4	yes	—
250	C₂×D₃×D₄	C₂³	1	8	yes	—
251	C₂×D₃×D₄	C₂³	1	8	yes	complemented
252	C₂×D₃×D₄	C₂³	1	8	yes	complemented
253	C₂×D₃×D₄	C₂³	1	4	yes	complemented
254	C₂×D₃×D₄	C₂³	1	2	yes	complemented
255	C₂×D₃×D₄	C₂³	1	4	yes	complemented
256	C₂×D₃×D₄	C₂³	1	8	yes	complemented
257	C₂×D₃×D₄	C₂³	1	8	yes	complemented
258	C₂×D₃×D₄	C₂³	1	4	yes	complemented
259	C₂×#235	C₂³	1	1	yes	characteristic
260	C₂×#235	C₂³	1	1	yes	characteristic
261	C₂×#235	C₂³	1	8	yes	complemented
262	C₂×#235	C₂³	1	4	yes	complemented
263	C₂×#235	C₂³	1	4	yes	complemented
264	C₂×#235	C₂³	1	4	yes	complemented
265	C₂²×D₁₂	—	4	8	no	—
266	C₂²×D₁₂	C₂³	1	1	yes	characteristic
267	C₂²×D₁₂	C₂³	1	4	yes	—
268	C₂²×D₁₂	C₂³	1	2	yes	—
269	C₂²×D₁₂	C₂³	1	8	yes	—
270	C₂²×D₁₂	C₂³	1	2	yes	—
271	C₂²×D₁₂	C₂³	1	4	yes	—
272	C₂²×D₁₂	C₂³	1	4	yes	—
273	C₂²×D₁₂	C₂³	1	2	yes	—
274	C₂²×D₁₂	C₂³	1	8	yes	complemented
275	C₂²×D₁₂	C₂³	1	4	yes	complemented
276	C₂²×C₄×D₃	C₂³	1	2	yes	—
277	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
278	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
279	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
280	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
281	C₃×#127	C₂³	1	4	yes	—
282	C₃×#127	C₂³	1	1	yes	characteristic, complemented
283	C₃×#126	C₂³	1	8	yes	complemented
284	C₃×#125	C₂³	1	2	yes	complemented
285	C₃×#124	C₂³	1	4	yes	—
286	C₃×#124	C₂³	1	2	yes	complemented
287	C₃×#124	C₂³	1	8	yes	complemented
288	C₃×#123	C₂³	1	8	yes	complemented
289	C₃×#123	C₂³	1	8	yes	complemented
290	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
291	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
292	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
293	C₃×#121	C₂³	1	2	yes	—
294	C₃×#121	C₂³	1	4	yes	—
295	C₃×#121	C₂³	1	4	yes	—
296	C₃×#121	C₂³	1	2	yes	—
297	C₃×#121	C₂³	1	4	yes	complemented
298	C₃×#121	C₂³	1	8	yes	complemented
299	C₃×#120	C₂³	1	8	yes	—
300	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
301	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
302	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
303	C₃×C₄×D₄	C₂³	1	2	yes	—
304	C₃×C₄×D₄	C₂³	1	2	yes	—
305	C₃×C₄×D₄	C₂³	1	2	yes	—
306	C₃×C₄×D₄	C₂³	1	2	yes	—
307	C₃×C₄×D₄	C₂³	1	8	yes	—
308	C₃×C₄×D₄	C₂³	1	4	yes	complemented
309	C₃×C₄×D₄	C₂³	1	8	yes	complemented
310	C₃×C₄×D₄	C₂³	1	2	yes	complemented
311	C₃×C₄×D₄	C₂³	1	2	yes	complemented
312	C₃×#117	C₂³	1	2	yes	—
313	C₃×#117	C₂³	1	4	yes	complemented
314	C₃×#117	C₂³	1	4	yes	complemented
315	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
317	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
318	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
319	#953	C₂³	1	4	yes	—
320	#953	C₂³	1	4	yes	—
321	#947	C₂³	1	2	yes	—
322	#947	C₂³	1	4	yes	complemented
323	#947	C₂³	1	4	yes	complemented
324	#947	C₂³	1	4	yes	complemented
325	#947	C₂³	1	4	yes	complemented
326	#946	C₂³	1	4	yes	complemented
327	#946	C₂³	1	2	yes	complemented
328	#946	C₂³	1	2	yes	complemented
329	#946	C₂³	1	2	yes	complemented
330	Q₈×Dic₃	C₂³	1	2	yes	complemented
331	#940	C₂³	1	2	yes	—
332	#940	C₂³	1	2	yes	—
333	#940	C₂³	1	2	yes	—
334	#940	C₂³	1	8	yes	complemented
335	#940	C₂³	1	4	yes	complemented
336	#940	C₂³	1	8	yes	complemented
337	#940	C₂³	1	4	yes	complemented
338	#940	C₂³	1	4	yes	complemented
339	#939	C₂³	1	8	yes	complemented
340	#939	C₂³	1	8	yes	complemented
341	#939	C₂³	1	4	yes	complemented
342	#938	C₂³	1	2	yes	—
343	#938	C₂³	1	2	yes	—
344	#938	C₂³	1	2	yes	—
345	#938	C₂³	1	2	yes	—
346	#938	C₂³	1	8	yes	complemented
347	#938	C₂³	1	2	yes	complemented
348	#938	C₂³	1	8	yes	complemented
349	#938	C₂³	1	2	yes	complemented
350	#938	C₂³	1	2	yes	complemented
351	#937	C₂³	1	4	yes	—
352	#937	C₂³	1	8	yes	—
353	#937	C₂³	1	8	yes	complemented
354	#937	C₂³	1	8	yes	complemented
355	#937	C₂³	1	8	yes	complemented
356	#937	C₂³	1	8	yes	complemented
357	#937	C₂³	1	8	yes	complemented
358	#937	C₂³	1	8	yes	complemented
359	#937	C₂³	1	4	yes	complemented
360	#936	C₂³	1	2	yes	—
361	#936	C₂³	1	2	yes	—
362	#935	C₂³	1	4	yes	—
363	D₄×Dic₃	C₂³	1	2	yes	complemented
364	#930	C₂³	1	4	yes	—
365	#930	C₂³	1	8	yes	—
366	#930	C₂³	1	4	yes	—
367	#930	C₂³	1	4	yes	—
368	#930	C₂³	1	8	yes	complemented
369	#930	C₂³	1	4	yes	complemented
370	#930	C₂³	1	8	yes	complemented
371	#930	C₂³	1	8	yes	complemented
372	#930	C₂³	1	4	yes	complemented
373	#930	C₂³	1	4	yes	complemented
374	#929	C₂³	1	4	yes	complemented
375	#929	C₂³	1	4	yes	complemented
376	#929	C₂³	1	8	yes	complemented
377	C₄×#67	C₂³	1	2	yes	—
378	C₄×#67	C₂³	1	2	yes	—
379	C₄×#67	C₂³	1	2	yes	—
380	C₄×#67	C₂³	1	2	yes	—
381	C₄×#67	C₂³	1	8	yes	complemented
382	C₄×#67	C₂³	1	4	yes	complemented
383	C₄×#67	C₂³	1	4	yes	complemented
384	C₄×#67	C₂³	1	4	yes	complemented
385	C₄×#67	C₂³	1	4	yes	complemented
386	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
387	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
388	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
389	#926	C₂³	1	1	yes	characteristic
390	#926	C₂³	1	1	yes	characteristic
391	#926	C₂³	1	4	yes	complemented
392	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
393	#924	C₂³	1	4	yes	—
394	#924	C₂³	1	4	yes	complemented
395	#898	C₂³	1	4	yes	complemented
396	#898	C₂³	1	4	yes	complemented
397	#898	C₂³	1	4	yes	complemented
398	#898	C₂³	1	8	yes	complemented
399	#897	C₂³	1	8	yes	complemented
400	#897	C₂³	1	2	yes	complemented
401	#897	C₂³	1	2	yes	complemented
402	#897	C₂³	1	2	yes	complemented
403	#897	C₂³	1	2	yes	complemented
404	#896	C₂³	1	8	yes	complemented
405	#896	C₂³	1	4	yes	complemented
406	#895	C₂³	1	4	yes	—
407	#895	C₂³	1	2	yes	—
408	#895	C₂³	1	2	yes	—
409	#895	C₂³	1	4	yes	—
410	#895	C₂³	1	4	yes	—
411	#895	C₂³	1	4	yes	—
412	#895	C₂³	1	4	yes	—
413	#895	C₂³	1	4	yes	complemented
414	#895	C₂³	1	8	yes	complemented
415	#895	C₂³	1	8	yes	complemented
416	#895	C₂³	1	8	yes	complemented
417	#895	C₂³	1	8	yes	complemented
418	#895	C₂³	1	2	yes	complemented
419	#895	C₂³	1	2	yes	complemented
420	#895	C₂³	1	8	yes	complemented
421	#895	C₂³	1	4	yes	complemented
422	#895	C₂³	1	4	yes	complemented
423	#895	C₂³	1	4	yes	complemented
424	#895	C₂³	1	4	yes	complemented
425	#895	C₂³	1	4	yes	complemented
426	#895	C₂³	1	2	yes	complemented
427	#895	C₂³	1	2	yes	complemented
428	#894	C₂³	1	4	yes	—
429	#894	C₂³	1	4	yes	complemented
430	#894	C₂³	1	4	yes	complemented
431	#894	C₂³	1	8	yes	complemented
432	#894	C₂³	1	8	yes	complemented
433	#894	C₂³	1	8	yes	complemented
434	#894	C₂³	1	8	yes	complemented
435	#894	C₂³	1	4	yes	complemented
436	#893	C₂³	1	2	yes	—
437	#893	C₂³	1	2	yes	—
438	#893	C₂³	1	4	yes	complemented
439	#893	C₂³	1	4	yes	complemented
440	#893	C₂³	1	4	yes	complemented
441	#893	C₂³	1	4	yes	complemented
442	#893	C₂³	1	4	yes	complemented
443	#893	C₂³	1	4	yes	complemented
444	#893	C₂³	1	4	yes	complemented
445	#892	C₂³	1	4	yes	complemented
446	#892	C₂³	1	2	yes	complemented
447	#892	C₂³	1	2	yes	complemented
448	#892	C₂³	1	2	yes	complemented
449	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
450	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
451	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
452	#890	C₂³	1	4	yes	complemented
453	#890	C₂³	1	2	yes	complemented
454	#890	C₂³	1	2	yes	complemented
455	#890	C₂³	1	2	yes	complemented
456	#888	C₂³	1	2	yes	complemented
457	#888	C₂³	1	2	yes	complemented
458	#888	C₂³	1	2	yes	complemented
459	#886	C₂³	1	4	yes	—
460	#886	C₂³	1	8	yes	complemented
461	#885	C₂³	1	8	yes	complemented
462	#885	C₂³	1	4	yes	complemented
463	#885	C₂³	1	4	yes	complemented
464	#885	C₂³	1	8	yes	complemented
465	#885	C₂³	1	8	yes	complemented
466	#885	C₂³	1	4	yes	complemented
467	#884	C₂³	1	4	yes	—
468	#884	C₂³	1	4	yes	complemented
469	#884	C₂³	1	8	yes	complemented
470	#884	C₂³	1	8	yes	complemented
471	#884	C₂³	1	8	yes	complemented
472	#884	C₂³	1	8	yes	complemented
473	#884	C₂³	1	8	yes	complemented
474	#884	C₂³	1	8	yes	complemented
475	#884	C₂³	1	4	yes	complemented
476	#884	C₂³	1	8	yes	complemented
477	#884	C₂³	1	8	yes	complemented
478	#884	C₂³	1	4	yes	complemented
479	#883	C₂³	1	8	yes	complemented
480	#883	C₂³	1	4	yes	complemented
481	#883	C₂³	1	4	yes	complemented
482	#883	C₂³	1	8	yes	complemented
483	#883	C₂³	1	8	yes	complemented
484	#883	C₂³	1	4	yes	complemented
485	#882	C₂³	1	4	yes	—
486	#882	C₂³	1	4	yes	—
487	#882	C₂³	1	8	yes	—
488	#882	C₂³	1	8	yes	—
489	#882	C₂³	1	8	yes	—
490	#882	C₂³	1	8	yes	—
491	#882	C₂³	1	8	yes	—
492	#882	C₂³	1	8	yes	complemented
493	#882	C₂³	1	8	yes	complemented
494	#882	C₂³	1	8	yes	complemented
495	#882	C₂³	1	8	yes	complemented
496	#882	C₂³	1	8	yes	complemented
497	#882	C₂³	1	8	yes	complemented
498	#882	C₂³	1	8	yes	complemented
499	#882	C₂³	1	8	yes	complemented
500	#882	C₂³	1	8	yes	complemented
501	#67⋊C₄	C₂³	1	4	yes	complemented
502	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
503	D₃×C₂²⋊C₄	C₂³	1	8	yes	—
504	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
505	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
506	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
507	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
508	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
509	#879	C₂³	1	4	yes	complemented
510	#879	C₂³	1	4	yes	complemented
511	#878	C₂³	1	4	yes	complemented
512	#877	C₂³	1	4	yes	—
513	#876	C₂³	1	8	yes	complemented
514	#875	C₂³	1	4	yes	complemented
515	#875	C₂³	1	8	yes	complemented
516	#875	C₂³	1	8	yes	complemented
517	#874	C₂³	1	2	yes	—
518	#874	C₂³	1	2	yes	—
519	#874	C₂³	1	2	yes	—
520	#874	C₂³	1	2	yes	—
521	#874	C₂³	1	8	yes	complemented
522	#874	C₂³	1	4	yes	complemented
523	C₄×D₁₂	C₂³	1	2	yes	—
524	C₄×D₁₂	C₂³	1	2	yes	—
525	C₄×D₁₂	C₂³	1	1	yes	characteristic
526	C₄×D₁₂	C₂³	1	1	yes	characteristic
527	C₄×D₁₂	C₂³	1	1	yes	characteristic
528	C₄×D₁₂	C₂³	1	1	yes	characteristic
529	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
530	C₄×D₁₂	C₂³	1	8	yes	complemented
531	C₄×D₁₂	C₂³	1	8	yes	complemented
532	C₄×D₁₂	C₂³	1	4	yes	complemented
533	C₄×D₁₂	C₂³	1	4	yes	complemented
534	C₄×D₁₂	C₂³	1	4	yes	complemented
535	C₄×D₁₂	C₂³	1	4	yes	complemented
536	C₄×D₁₂	C₂³	1	8	yes	complemented
537	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
538	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
539	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
540	#872	C₂³	1	2	yes	complemented
541	#872	C₂³	1	8	yes	complemented
542	#872	C₂³	1	4	yes	complemented
543	#872	C₂³	1	2	yes	complemented
544	C₄²×D₃	C₂³	1	4	yes	complemented
545	C₄²×D₃	C₂³	1	2	yes	complemented
546	C₄²×D₃	C₂³	1	2	yes	complemented
547	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
548	C₄×Dic₆	C₂³	1	1	yes	characteristic, 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	—	3	2	no	—
555	C₂³×D₄	—	3	2	no	—
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	C₂×D₃	1	4	yes	complemented
565	#556	—	3	1	no	—
566	#556	C₂×D₃	1	2	yes	complemented
567	#555	—	3	1	no	—
568	#555	—	3	4	no	—
569	#555	—	3	4	no	—
570	#555	C₂×D₃	1	2	yes	complemented
571	#554	—	3	1	no	—
572	#553	—	3	2	no	—
573	#553	—	3	4	no	—
574	#553	—	3	4	no	—
575	#553	—	3	4	no	—
576	#553	C₂×D₃	1	4	yes	complemented
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	4	no	—
583	#550	—	3	1	no	—
584	#550	—	3	4	no	—
585	#550	—	3	2	no	—
586	#550	—	3	2	no	—
587	#550	—	3	2	no	—
588	#550	—	3	2	no	—
589	#550	C₂×D₃	1	2	yes	complemented
590	D₄×Q₈	—	3	1	no	—
591	#548	—	3	2	no	—
592	#548	—	3	4	no	—
593	#547	—	3	1	no	—
594	#547	—	3	1	no	—
595	#547	—	3	2	no	—
596	#547	—	3	4	no	—
597	#547	C₂×D₃	1	2	yes	complemented
598	#546	—	3	4	no	—
599	#546	—	3	4	no	—
600	#546	—	3	4	no	—
601	#546	—	3	2	no	—
602	#546	—	3	8	no	—
603	#546	—	3	8	no	—
604	#546	—	3	2	no	—
605	#546	—	3	4	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	4	no	—
612	#546	—	3	8	no	—
613	#546	—	3	8	no	—
614	#546	—	3	8	no	—
615	#546	—	3	4	no	—
616	D₄²	—	3	4	no	—
617	D₄²	—	3	4	no	—
618	D₄²	—	3	1	no	—
619	D₄²	—	3	2	no	—
620	D₄²	—	3	4	no	—
621	D₄²	—	3	4	no	—
622	D₄²	—	3	4	no	—
623	D₄²	—	3	4	no	—
624	D₄²	—	3	4	no	—
625	D₄²	—	3	4	no	—
626	D₄²	—	3	8	no	—
627	D₄²	—	3	2	no	—
628	D₄²	—	3	2	no	—
629	D₄²	—	3	4	no	—
630	D₄²	—	3	2	no	—
631	D₄²	—	3	4	no	—
632	D₄²	—	3	2	no	—
633	D₄²	—	3	8	no	—
634	D₄²	—	3	8	no	—
635	D₄²	—	3	4	no	—
636	D₄²	—	3	2	no	—
637	D₄²	—	3	2	no	—
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	2	no	—
646	#540	—	3	2	no	—
647	#540	—	3	4	no	—
648	#540	—	3	8	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	C₂×D₃	1	4	yes	complemented
656	#537	—	3	4	no	—
657	#537	—	3	1	no	—
658	#537	—	3	4	no	—
659	#535	—	3	2	no	—
660	#535	—	3	4	no	—
661	#535	—	3	1	no	—
662	#535	—	3	1	no	—
663	#535	—	3	4	no	—
664	#535	—	3	4	no	—
665	#535	—	3	4	no	—
666	#535	—	3	8	no	—
667	#535	—	3	4	no	—
668	#535	—	3	4	no	—
669	#535	—	3	8	no	—
670	#535	—	3	4	no	—
671	#535	—	3	8	no	—
672	#535	—	3	2	no	—
673	#535	—	3	4	no	—
674	#535	—	3	4	no	—
675	#535	C₂×D₃	1	2	yes	complemented
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	C₂×D₃	1	1	yes	characteristic, complemented
682	#532	—	3	2	no	—
683	#532	—	3	2	no	—
684	#532	—	3	2	no	—
685	#532	—	3	2	no	—
686	#532	—	3	2	no	—
687	#532	—	3	2	no	—
688	#532	—	3	4	no	—
689	#532	C₂×D₃	1	1	yes	characteristic, complemented
690	C₂×#127	—	3	4	no	—
691	C₂×#127	—	3	2	no	—
692	C₂×#127	—	3	1	no	—
693	#529	—	3	2	no	—
694	#529	—	3	4	no	—
695	#529	—	3	4	no	—
696	#529	—	3	2	no	—
697	#529	—	3	2	no	—
698	C₂×#124	—	3	4	no	—
699	#525	—	3	2	no	—
700	#525	—	3	4	no	—
701	#525	—	3	4	no	—
702	#525	—	3	2	no	—
703	#525	—	3	4	no	—
704	#525	C₂×D₃	1	4	yes	complemented
705	C₂×#121	—	3	2	no	—
706	C₂×#121	—	3	4	no	—
707	C₂×#121	—	3	4	no	—
708	C₂×#121	—	3	2	no	—
709	C₂×#121	—	3	4	no	—
710	C₂×#120	—	3	8	no	—
711	C₂×#120	—	3	8	no	—
712	C₂×#120	—	3	4	no	—
713	#520	C₂×D₃	1	2	yes	complemented
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	—	3	1	no	—
721	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
722	C₂×#117	—	3	2	no	—
723	C₂⁴×C₃	C₂⁴	1	2	yes	—
724	C₂³×D₃	—	4	8	no	—
725	C₂³×D₃	—	4	8	no	—
726	C₂³×D₃	—	8	4	no	—
727	C₂³×D₃	C₂⁴	1	2	yes	—
728	C₂³×D₃	C₂⁴	1	4	yes	—
729	C₂³×D₃	C₂⁴	1	8	yes	—
730	C₂³×D₃	C₂⁴	1	4	yes	—
731	C₂³×D₃	C₂⁴	1	8	yes	—
732	C₂³×D₃	C₂⁴	1	8	yes	—
733	C₃×#41	—	2	8	no	—
734	C₃×#41	—	4	8	no	—
735	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
736	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
737	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
738	C₂×C₃×D₄	—	2	4	no	—
739	C₂×C₃×D₄	C₂⁴	1	2	yes	—
740	C₂×C₃×D₄	C₂⁴	1	4	yes	—
741	C₂×C₃×D₄	C₂⁴	1	2	yes	—
742	C₂×C₃×D₄	C₂⁴	1	2	yes	—
743	C₂×C₃×D₄	C₂⁴	1	2	yes	—
744	C₂×C₃×D₄	C₂⁴	1	8	yes	—
745	C₂×C₃×D₄	C₂⁴	1	8	yes	—
746	C₂×C₃×D₄	C₂⁴	1	2	yes	—
747	C₂²×C₃×C₄	—	4	4	no	—
748	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
749	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
750	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
751	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
752	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
753	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
754	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
755	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
756	C₂×#67	—	4	8	no	—
757	C₂×#67	C₂⁴	1	4	yes	—
758	C₂×#67	C₂⁴	1	2	yes	—
759	C₂×#67	C₂⁴	1	2	yes	—
760	C₂×#67	C₂⁴	1	8	yes	—
761	C₂×#67	C₂⁴	1	8	yes	—
762	C₂×#67	C₂⁴	1	4	yes	—
763	C₂×#67	C₂⁴	1	4	yes	—
764	C₂×#67	C₂⁴	1	4	yes	—
765	C₂×#67	C₂⁴	1	4	yes	—
766	C₂×#67	C₂⁴	1	4	yes	—
767	C₂×#67	C₂⁴	1	4	yes	—
768	C₂×#67	C₂⁴	1	4	yes	—
769	C₂×#67	C₂⁴	1	8	yes	—
770	C₂×#67	C₂⁴	1	8	yes	—
771	C₂×#67	C₂⁴	1	8	yes	—
772	C₂²×Dic₃	C₂⁴	1	2	yes	—
773	C₂²×Dic₃	C₂⁴	1	4	yes	—
774	#239	—	2	8	no	—
775	#239	—	4	4	no	—
776	#239	—	4	8	no	—
777	#239	—	4	8	no	—
778	#239	—	8	4	no	—
779	D₃×Q₈	—	4	4	no	—
780	#237	—	4	4	no	—
781	#237	—	4	8	no	—
782	D₃×D₄	—	2	8	no	—
783	D₃×D₄	—	4	8	no	—
784	D₃×D₄	—	4	8	no	—
785	D₃×D₄	—	4	8	no	—
786	D₃×D₄	—	4	8	no	—
787	D₃×D₄	—	4	4	no	—
788	D₃×D₄	—	4	8	no	—
789	D₃×D₄	—	4	8	no	—
790	D₃×D₄	—	4	16	no	—
791	D₃×D₄	—	4	16	no	—
792	D₃×D₄	—	4	8	no	—
793	D₃×D₄	—	4	16	no	—
794	D₃×D₄	—	8	4	no	—
795	D₃×D₄	—	8	8	no	—
796	D₃×D₄	—	8	8	no	—
797	#235	—	2	4	no	—
798	#235	—	2	4	no	—
799	#235	—	4	8	no	—
800	#235	—	4	8	no	—
801	#235	—	4	8	no	—
802	#235	—	4	16	no	—
803	C₂×D₁₂	—	2	8	no	—
804	C₂×D₁₂	—	2	4	no	—
805	C₂×D₁₂	—	2	16	no	—
806	C₂×D₁₂	—	4	8	no	—
807	C₂×D₁₂	—	4	4	no	—
808	C₂×D₁₂	—	4	8	no	—
809	C₂×D₁₂	—	4	16	no	—
810	C₂×D₁₂	—	4	8	no	—
811	C₂×D₁₂	—	4	16	no	—
812	C₂×D₁₂	—	8	2	no	—
813	C₂×D₁₂	C₂⁴	1	2	yes	—
814	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
815	C₂×D₁₂	C₂⁴	1	4	yes	—
816	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
817	C₂×D₁₂	C₂⁴	1	8	yes	—
818	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
819	C₂×D₁₂	C₂⁴	1	4	yes	—
820	C₂×D₁₂	C₂⁴	1	4	yes	—
821	C₂×D₁₂	C₂⁴	1	4	yes	—
822	C₂×D₁₂	C₂⁴	1	4	yes	—
823	C₂×D₁₂	C₂⁴	1	8	yes	—
824	C₂×D₁₂	C₂⁴	1	4	yes	—
825	C₂×D₁₂	C₂⁴	1	4	yes	—
826	C₂×D₁₂	C₂⁴	1	4	yes	—
827	C₂×D₁₂	C₂⁴	1	4	yes	—
828	C₂×D₁₂	C₂⁴	1	4	yes	—
829	C₂×D₁₂	C₂⁴	1	8	yes	—
830	C₂×D₁₂	C₂⁴	1	8	yes	—
831	C₂×D₁₂	C₂⁴	1	8	yes	—
832	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
833	C₂×C₄×D₃	—	2	8	no	—
834	C₂×C₄×D₃	—	4	8	no	—
835	C₂×C₄×D₃	C₂⁴	1	2	yes	—
836	C₂×C₄×D₃	C₂⁴	1	2	yes	—
837	C₂×C₄×D₃	C₂⁴	1	2	yes	—
838	C₂×C₄×D₃	C₂⁴	1	2	yes	—
839	C₂×C₄×D₃	C₂⁴	1	2	yes	—
840	C₂×C₄×D₃	C₂⁴	1	4	yes	—
841	C₂×C₄×D₃	C₂⁴	1	2	yes	—
842	C₂×C₄×D₃	C₂⁴	1	2	yes	—
843	C₂×C₄×D₃	C₂⁴	1	2	yes	—
844	C₂×C₄×D₃	C₂⁴	1	4	yes	—
845	C₂×C₄×D₃	C₂⁴	1	2	yes	—
846	C₂×C₄×D₃	C₂⁴	1	2	yes	—
847	C₂×C₄×D₃	C₂⁴	1	8	yes	—
848	C₂×C₄×D₃	C₂⁴	1	4	yes	—
849	C₂×C₄×D₃	C₂⁴	1	8	yes	—
850	C₂×C₄×D₃	C₂⁴	1	4	yes	—
851	C₂×C₄×D₃	C₂⁴	1	8	yes	—
852	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
853	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
854	C₂×Dic₆	C₂⁴	1	4	yes	—
855	C₂×Dic₆	C₂⁴	1	4	yes	—
856	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	4	yes	—
861	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
862	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
863	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
864	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
865	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
866	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
867	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
872	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
873	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
875	C₃×C₄²	C₂⁴	1	1	yes	characteristic
876	C₃×C₄²	C₂⁴	1	1	yes	characteristic
877	C₃×C₄²	C₂⁴	1	1	yes	characteristic
878	C₃×C₄²	C₂⁴	1	1	yes	characteristic
879	C₃×C₄²	C₂⁴	1	4	yes	—
880	C₃×C₄²	C₂⁴	1	8	yes	—
881	#217	C₂⁴	1	2	yes	—
882	#217	C₂⁴	1	4	yes	—
883	#217	C₂⁴	1	4	yes	—
884	#217	C₂⁴	1	4	yes	—
885	#217	C₂⁴	1	4	yes	—
886	#217	C₂⁴	1	4	yes	—
887	#217	C₂⁴	1	2	yes	—
888	#217	C₂⁴	1	4	yes	—
889	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
890	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
891	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
892	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
893	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
894	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
895	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
896	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
897	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
898	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
899	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
900	(C₂×D₃)⋊C₄	C₂⁴	1	2	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	8	yes	—
905	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
906	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
907	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
908	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
909	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
910	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
911	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
912	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
913	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
914	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
915	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
916	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
917	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
918	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
919	C₄⋊Dic₃	C₂⁴	1	2	yes	—
920	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
921	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
922	C₄⋊Dic₃	C₂⁴	1	4	yes	—
923	C₄⋊Dic₃	C₂⁴	1	4	yes	—
924	C₄⋊Dic₃	C₂⁴	1	4	yes	—
925	C₄⋊Dic₃	C₂⁴	1	4	yes	—
926	Dic₃⋊C₄	C₂⁴	1	2	yes	—
927	Dic₃⋊C₄	C₂⁴	1	2	yes	—
928	Dic₃⋊C₄	C₂⁴	1	2	yes	—
929	Dic₃⋊C₄	C₂⁴	1	2	yes	—
930	Dic₃⋊C₄	C₂⁴	1	4	yes	—
931	Dic₃⋊C₄	C₂⁴	1	4	yes	—
932	Dic₃⋊C₄	C₂⁴	1	4	yes	—
933	Dic₃⋊C₄	C₂⁴	1	4	yes	—
934	Dic₃⋊C₄	C₂⁴	1	4	yes	—
935	Dic₃⋊C₄	C₂⁴	1	4	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	2	yes	—
943	C₄×Dic₃	C₂⁴	1	4	yes	—
944	C₂⁵	—	3	4	no	—
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	4	no	—
950	C₂×#41	—	3	2	no	—
951	C₂×#41	—	3	4	no	—
952	C₂×#41	—	3	4	no	—
953	C₂×#41	—	3	2	no	—
954	C₂×#41	—	3	1	no	—
955	C₂×#41	—	3	1	no	—
956	C₂×#41	—	3	4	no	—
957	C₂×#41	—	3	4	no	—
958	C₂×#41	—	3	4	no	—
959	C₂×#41	—	3	8	no	—
960	C₂×#41	—	12	8	no	—
961	C₂×#41	C₂²×D₃	1	2	yes	—
962	C₂×#41	C₂²×D₃	1	4	yes	complemented
963	C₂²×Q₈	—	3	2	no	—
964	C₂²×D₄	—	3	4	no	—
965	C₂²×D₄	—	3	2	no	—
966	C₂²×D₄	—	3	4	no	—
967	C₂²×D₄	—	3	8	no	—
968	C₂²×D₄	—	3	8	no	—
969	C₂²×D₄	—	3	8	no	—
970	C₂²×D₄	—	3	4	no	—
971	C₂²×D₄	—	3	4	no	—
972	C₂²×D₄	—	3	2	no	—
973	C₂²×D₄	—	3	4	no	—
974	C₂²×D₄	—	3	4	no	—
975	C₂²×D₄	—	3	4	no	—
976	C₂²×D₄	—	3	4	no	—
977	C₂²×D₄	—	3	8	no	—
978	C₂²×D₄	—	3	8	no	—
979	C₂²×D₄	—	3	4	no	—
980	C₂²×D₄	—	3	1	no	—
981	C₂²×D₄	—	3	2	no	—
982	C₂²×D₄	—	3	4	no	—
983	C₂²×D₄	—	3	4	no	—
984	C₂²×D₄	—	3	2	no	—
985	C₂²×D₄	—	3	8	no	—
986	C₂²×D₄	—	3	4	no	—
987	C₂²×D₄	—	3	8	no	—
988	C₂²×D₄	—	3	4	no	—
989	C₂²×D₄	—	3	2	no	—
990	C₂²×D₄	—	12	8	no	—
991	C₂²×D₄	—	12	8	no	—
992	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
993	C₂³×C₄	—	3	2	no	—
994	C₂³×C₄	—	3	4	no	—
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	C₂²×D₃	1	1	yes	characteristic, complemented
1000	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
1001	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
1002	#127	—	3	2	no	—
1003	#127	—	3	4	no	—
1004	#127	—	3	8	no	—
1005	#127	—	3	8	no	—
1006	#127	—	3	4	no	—
1007	#127	—	3	4	no	—
1008	#127	—	3	2	no	—
1009	#127	—	3	2	no	—
1010	#127	—	3	2	no	—
1011	#127	—	3	2	no	—
1012	#127	—	3	2	no	—
1013	#127	—	3	4	no	—
1014	#127	—	3	2	no	—
1015	#127	—	3	8	no	—
1016	#127	C₂²×D₃	1	4	yes	—
1017	#127	C₂²×D₃	1	1	yes	characteristic, complemented
1018	#126	—	3	4	no	—
1019	#126	—	3	4	no	—
1020	#126	—	3	4	no	—
1021	#126	—	3	8	no	—
1022	#126	—	3	4	no	—
1023	#126	—	3	4	no	—
1024	#126	—	3	8	no	—
1025	#126	C₂²×D₃	1	8	yes	complemented
1026	#125	—	3	2	no	—
1027	#125	—	3	4	no	—
1028	#125	—	3	2	no	—
1029	#125	—	3	2	no	—
1030	#125	C₂²×D₃	1	2	yes	complemented
1031	#124	—	3	4	no	—
1032	#124	—	3	2	no	—
1033	#124	—	3	4	no	—
1034	#124	—	3	4	no	—
1035	#124	—	3	4	no	—
1036	#124	—	3	2	no	—
1037	#124	—	3	2	no	—
1038	#124	—	3	8	no	—
1039	#124	—	3	8	no	—
1040	#124	—	3	4	no	—
1041	#124	—	3	8	no	—
1042	#124	—	3	4	no	—
1043	#124	—	3	4	no	—
1044	#124	—	3	4	no	—
1045	#124	—	3	8	no	—
1046	#124	—	3	8	no	—
1047	#124	C₂²×D₃	1	4	yes	—
1048	#124	C₂²×D₃	1	2	yes	complemented
1049	#124	C₂²×D₃	1	8	yes	complemented
1050	#123	—	3	4	no	—
1051	#123	—	3	4	no	—
1052	#123	—	3	4	no	—
1053	#123	—	3	8	no	—
1054	#123	—	3	4	no	—
1055	#123	—	3	4	no	—
1056	#123	—	3	4	no	—
1057	#123	—	3	8	no	—
1058	#123	—	3	4	no	—
1059	#123	—	3	8	no	—
1060	#123	—	3	8	no	—
1061	#123	—	3	8	no	—
1062	#123	—	3	4	no	—
1063	#123	—	3	8	no	—
1064	#123	—	3	4	no	—
1065	#123	—	3	4	no	—
1066	#123	—	3	4	no	—
1067	#123	—	3	8	no	—
1068	#123	—	3	8	no	—
1069	#123	—	3	8	no	—
1070	#123	C₂²×D₃	1	8	yes	complemented
1071	#123	C₂²×D₃	1	8	yes	complemented
1072	C₂²⋊Q₈	—	3	2	no	—
1073	C₂²⋊Q₈	—	3	2	no	—
1074	C₂²⋊Q₈	—	3	2	no	—
1075	C₂²⋊Q₈	—	3	4	no	—
1076	C₂²⋊Q₈	—	3	4	no	—
1077	C₂²⋊Q₈	—	3	4	no	—
1078	C₂²⋊Q₈	—	3	2	no	—
1079	C₂²⋊Q₈	—	3	2	no	—
1080	C₂²⋊Q₈	—	3	2	no	—
1081	C₂²⋊Q₈	—	3	4	no	—
1082	C₂²⋊Q₈	—	3	2	no	—
1083	C₂²⋊Q₈	—	3	8	no	—
1084	C₂²⋊Q₈	—	3	8	no	—
1085	C₂²⋊Q₈	—	3	4	no	—
1086	C₂²⋊Q₈	C₂²×D₃	1	2	yes	—
1087	C₂²⋊Q₈	C₂²×D₃	1	2	yes	—
1088	C₂²⋊Q₈	C₂²×D₃	1	4	yes	complemented
1089	#121	—	3	2	no	—
1090	#121	—	3	2	no	—
1091	#121	—	3	8	no	—
1092	#121	—	3	8	no	—
1093	#121	—	3	2	no	—
1094	#121	—	3	4	no	—
1095	#121	—	3	2	no	—
1096	#121	—	3	2	no	—
1097	#121	—	3	2	no	—
1098	#121	—	3	2	no	—
1099	#121	—	3	8	no	—
1100	#121	—	3	8	no	—
1101	#121	—	3	4	no	—
1102	#121	—	3	4	no	—
1103	#121	—	3	4	no	—
1104	#121	—	3	4	no	—
1105	#121	—	3	8	no	—
1106	#121	—	3	4	no	—
1107	#121	—	3	4	no	—
1108	#121	—	3	8	no	—
1109	#121	—	3	8	no	—
1110	#121	—	3	8	no	—
1111	#121	—	3	4	no	—
1112	#121	—	3	2	no	—
1113	#121	—	3	4	no	—
1114	#121	—	3	2	no	—
1115	#121	—	3	4	no	—
1116	#121	—	3	4	no	—
1117	#121	—	3	8	no	—
1118	#121	—	3	8	no	—
1119	#121	—	3	4	no	—
1120	#121	—	3	4	no	—
1121	#121	—	3	2	no	—
1122	#121	—	3	4	no	—
1123	#121	—	3	2	no	—
1124	#121	—	3	4	no	—
1125	#121	—	3	2	no	—
1126	#121	—	3	4	no	—
1127	#121	—	3	4	no	—
1128	#121	—	3	2	no	—
1129	#121	—	3	4	no	—
1130	#121	—	3	8	no	—
1131	#121	—	3	8	no	—
1132	#121	—	3	8	no	—
1133	#121	—	3	8	no	—
1134	#121	—	3	8	no	—
1135	#121	—	3	4	no	—
1136	#121	—	3	4	no	—
1137	#121	—	3	8	no	—
1138	#121	—	3	4	no	—
1139	#121	—	3	4	no	—
1140	#121	—	3	8	no	—
1141	#121	—	3	8	no	—
1142	#121	—	3	8	no	—
1143	#121	—	3	8	no	—
1144	#121	—	3	8	no	—
1145	#121	C₂²×D₃	1	4	yes	—
1146	#121	C₂²×D₃	1	4	yes	—
1147	#121	C₂²×D₃	1	2	yes	—
1148	#121	C₂²×D₃	1	2	yes	—
1149	#121	C₂²×D₃	1	4	yes	complemented
1150	#121	C₂²×D₃	1	8	yes	complemented
1151	#120	—	3	4	no	—
1152	#120	—	3	4	no	—
1153	#120	—	3	4	no	—
1154	#120	—	3	8	no	—
1155	#120	—	3	8	no	—
1156	#120	—	3	8	no	—
1157	#120	—	3	8	no	—
1158	#120	—	3	8	no	—
1159	#120	—	3	4	no	—
1160	#120	—	3	8	no	—
1161	#120	—	3	8	no	—
1162	#120	—	3	4	no	—
1163	#120	—	3	8	no	—
1164	#120	—	3	8	no	—
1165	#120	—	3	8	no	—
1166	#120	—	3	8	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	4	no	—
1173	#120	—	3	8	no	—
1174	#120	—	3	8	no	—
1175	#120	—	3	8	no	—
1176	#120	—	3	8	no	—
1177	#120	—	3	8	no	—
1178	#120	C₂²×D₃	1	8	yes	—
1179	C₄×Q₈	—	3	2	no	—
1180	C₄×Q₈	—	3	1	no	—
1181	C₄×Q₈	—	3	1	no	—
1182	C₄×Q₈	—	3	1	no	—
1183	C₄×Q₈	—	3	1	no	—
1184	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
1185	C₄×Q₈	C₂²×D₃	1	4	yes	complemented
1186	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
1187	C₄×D₄	—	3	2	no	—
1188	C₄×D₄	—	3	4	no	—
1189	C₄×D₄	—	3	2	no	—
1190	C₄×D₄	—	3	2	no	—
1191	C₄×D₄	—	3	2	no	—
1192	C₄×D₄	—	3	2	no	—
1193	C₄×D₄	—	3	4	no	—
1194	C₄×D₄	—	3	4	no	—
1195	C₄×D₄	—	3	4	no	—
1196	C₄×D₄	—	3	8	no	—
1197	C₄×D₄	—	3	2	no	—
1198	C₄×D₄	—	3	2	no	—
1199	C₄×D₄	—	3	4	no	—
1200	C₄×D₄	—	3	4	no	—
1201	C₄×D₄	—	3	4	no	—
1202	C₄×D₄	—	3	4	no	—
1203	C₄×D₄	—	3	4	no	—
1204	C₄×D₄	—	3	4	no	—
1205	C₄×D₄	—	3	4	no	—
1206	C₄×D₄	—	3	4	no	—
1207	C₄×D₄	—	3	1	no	—
1208	C₄×D₄	—	3	1	no	—
1209	C₄×D₄	—	3	2	no	—
1210	C₄×D₄	—	3	2	no	—
1211	C₄×D₄	—	3	1	no	—
1212	C₄×D₄	—	3	1	no	—
1213	C₄×D₄	—	3	4	no	—
1214	C₄×D₄	—	3	1	no	—
1215	C₄×D₄	—	3	1	no	—
1216	C₄×D₄	—	3	1	no	—
1217	C₄×D₄	—	3	1	no	—
1218	C₄×D₄	—	3	8	no	—
1219	C₄×D₄	—	3	8	no	—
1220	C₄×D₄	—	3	4	no	—
1221	C₄×D₄	—	3	4	no	—
1222	C₄×D₄	—	3	4	no	—
1223	C₄×D₄	—	3	8	no	—
1224	C₄×D₄	C₂²×D₃	1	2	yes	—
1225	C₄×D₄	C₂²×D₃	1	2	yes	—
1226	C₄×D₄	C₂²×D₃	1	2	yes	—
1227	C₄×D₄	C₂²×D₃	1	2	yes	—
1228	C₄×D₄	C₂²×D₃	1	8	yes	—
1229	C₄×D₄	C₂²×D₃	1	2	yes	complemented
1230	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1231	C₄×D₄	C₂²×D₃	1	2	yes	complemented
1232	C₄×D₄	C₂²×D₃	1	8	yes	complemented
1233	#117	—	3	1	no	—
1234	#117	—	3	1	no	—
1235	#117	—	3	4	no	—
1236	#117	—	3	2	no	—
1237	#117	—	3	2	no	—
1238	#117	—	3	4	no	—
1239	#117	—	3	2	no	—
1240	#117	—	3	4	no	—
1241	#117	—	3	4	no	—
1242	#117	—	3	2	no	—
1243	#117	—	3	2	no	—
1244	#117	—	3	8	no	—
1245	#117	C₂²×D₃	1	2	yes	—
1246	#117	C₂²×D₃	1	4	yes	complemented
1247	#117	C₂²×D₃	1	4	yes	complemented
1248	C₂×C₄⋊C₄	—	3	1	no	—
1249	C₂×C₄⋊C₄	—	3	2	no	—
1250	C₂×C₄⋊C₄	—	3	2	no	—
1251	C₂×C₄⋊C₄	—	3	2	no	—
1252	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
1254	C₂×C₂²⋊C₄	—	3	2	no	—
1255	C₂×C₂²⋊C₄	—	3	4	no	—
1256	C₂×C₂²⋊C₄	—	3	8	no	—
1257	C₂×C₂²⋊C₄	—	3	4	no	—
1258	C₂×C₂²⋊C₄	—	3	4	no	—
1259	C₂×C₂²⋊C₄	—	3	8	no	—
1260	C₂×C₂²⋊C₄	—	3	8	no	—
1261	C₂×C₂²⋊C₄	—	3	8	no	—
1262	C₂×C₂²⋊C₄	—	3	8	no	—
1263	C₂×C₂²⋊C₄	—	3	8	no	—
1264	C₂×C₂²⋊C₄	C₂²×D₃	1	2	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	—	4	2	no	—
1271	C₂³×C₃	—	4	2	no	—
1272	C₂³×C₃	C₂⁵	1	4	yes	—
1273	C₂³×C₃	C₂⁵	1	4	yes	—
1274	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1275	C₂²×D₃	—	2	4	no	—
1276	C₂²×D₃	—	2	8	no	—
1277	C₂²×D₃	—	2	4	no	—
1278	C₂²×D₃	—	2	16	no	—
1279	C₂²×D₃	—	2	8	no	—
1280	C₂²×D₃	—	4	2	no	—
1281	C₂²×D₃	—	4	4	no	—
1282	C₂²×D₃	—	4	4	no	—
1283	C₂²×D₃	—	4	8	no	—
1284	C₂²×D₃	—	4	4	no	—
1285	C₂²×D₃	—	4	8	no	—
1286	C₂²×D₃	—	4	8	no	—
1287	C₂²×D₃	—	4	4	no	—
1288	C₂²×D₃	—	4	8	no	—
1289	C₂²×D₃	—	4	8	no	—
1290	C₂²×D₃	—	4	8	no	—
1291	C₂²×D₃	—	4	8	no	—
1292	C₂²×D₃	—	4	8	no	—
1293	C₂²×D₃	—	8	32	no	—
1294	C₂²×D₃	C₂⁵	1	2	yes	—
1295	C₂²×D₃	C₂⁵	1	2	yes	—
1296	C₂²×D₃	C₂⁵	1	8	yes	—
1297	C₂²×D₃	C₂⁵	1	2	yes	—
1298	C₂²×D₃	C₂⁵	1	2	yes	—
1299	C₃×Q₈	—	2	4	no	—
1300	C₃×Q₈	—	2	4	no	—
1301	C₃×Q₈	—	4	2	no	—
1302	C₃×D₄	—	2	8	no	—
1303	C₃×D₄	—	2	4	no	—
1304	C₃×D₄	—	2	4	no	—
1305	C₃×D₄	—	2	4	no	—
1306	C₃×D₄	—	2	4	no	—
1307	C₃×D₄	—	4	8	no	—
1308	C₃×D₄	—	4	8	no	—
1309	C₃×D₄	—	4	2	no	—
1310	C₂×C₃×C₄	—	2	8	no	—
1311	C₂×C₃×C₄	—	2	2	no	—
1312	C₂×C₃×C₄	—	2	8	no	—
1313	C₂×C₃×C₄	—	4	2	no	—
1314	C₂×C₃×C₄	—	4	4	no	—
1315	C₂×C₃×C₄	—	4	8	no	—
1316	C₂×C₃×C₄	—	4	1	no	—
1317	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	complemented
1318	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1319	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1320	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1321	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1322	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1323	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1324	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1325	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1326	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1327	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1328	#67	—	2	4	no	—
1329	#67	—	2	4	no	—
1330	#67	—	2	8	no	—
1331	#67	—	4	8	no	—
1332	#67	—	4	4	no	—
1333	#67	—	4	8	no	—
1334	#67	—	4	4	no	—
1335	#67	—	4	4	no	—
1336	#67	—	4	4	no	—
1337	#67	—	4	8	no	—
1338	#67	—	4	8	no	—
1339	#67	—	4	4	no	—
1340	#67	—	4	4	no	—
1341	#67	—	4	4	no	—
1342	#67	—	4	8	no	—
1343	C₂×Dic₃	—	2	4	no	—
1344	C₂×Dic₃	—	4	4	no	—
1345	C₂×Dic₃	C₂⁵	1	2	yes	—
1346	C₂×Dic₃	C₂⁵	1	2	yes	—
1347	C₂×Dic₃	C₂⁵	1	2	yes	—
1348	C₂×Dic₃	C₂⁵	1	2	yes	—
1349	C₂×Dic₃	C₂⁵	1	2	yes	—
1350	C₂×Dic₃	C₂⁵	1	2	yes	—
1351	C₂×Dic₃	C₂⁵	1	2	yes	—
1352	C₂×Dic₃	C₂⁵	1	2	yes	—
1353	D₁₂	—	2	4	no	—
1354	D₁₂	—	2	16	no	—
1355	D₁₂	—	2	8	no	—
1356	D₁₂	—	2	2	no	—
1357	D₁₂	—	2	8	no	—
1358	D₁₂	—	2	8	no	—
1359	D₁₂	—	2	8	no	—
1360	D₁₂	—	2	2	no	—
1361	D₁₂	—	2	2	no	—
1362	D₁₂	—	4	8	no	—
1363	D₁₂	—	4	4	no	—
1364	D₁₂	—	4	4	no	—
1365	D₁₂	—	4	8	no	—
1366	D₁₂	—	4	8	no	—
1367	D₁₂	—	4	4	no	—
1368	D₁₂	—	4	4	no	—
1369	D₁₂	—	4	4	no	—
1370	D₁₂	—	4	4	no	—
1371	D₁₂	—	4	8	no	—
1372	D₁₂	H(5,𝔽₂)	1	4	yes	complemented
1373	C₄×D₃	—	2	8	no	—
1374	C₄×D₃	—	2	4	no	—
1375	C₄×D₃	—	2	4	no	—
1376	C₄×D₃	—	2	4	no	—
1377	C₄×D₃	—	2	4	no	—
1378	C₄×D₃	—	2	4	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	8	no	—
1386	C₄×D₃	—	4	4	no	—
1387	C₄×D₃	—	4	2	no	—
1388	C₄×D₃	—	4	8	no	—
1389	C₄×D₃	—	4	2	no	—
1390	Dic₆	—	2	2	no	—
1391	Dic₆	—	2	2	no	—
1392	Dic₆	—	4	4	no	—
1393	Dic₆	—	4	4	no	—
1394	C₂⁴	—	3	2	no	—
1395	C₂⁴	—	3	8	no	—
1396	C₂⁴	—	3	4	no	—
1397	C₂⁴	—	3	4	no	—
1398	C₂⁴	—	3	8	no	—
1399	C₂⁴	—	3	8	no	—
1400	C₂⁴	—	12	8	no	—
1401	C₂⁴	—	12	8	no	—
1402	C₂⁴	—	24	4	no	—
1403	C₂⁴	C₂³×D₃	1	2	yes	—
1404	#41	—	2	8	no	—
1405	#41	—	4	8	no	—
1406	#41	—	6	8	no	—
1407	#41	—	6	4	no	—
1408	#41	—	6	4	no	—
1409	#41	—	12	8	no	—
1410	#41	—	12	8	no	—
1411	#41	—	12	8	no	—
1412	#41	—	12	16	no	—
1413	#41	—	12	8	no	—
1414	#41	—	12	4	no	—
1415	#41	—	12	4	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	1	no	—
1421	C₂×Q₈	—	3	4	no	—
1422	C₂×Q₈	—	3	4	no	—
1423	C₂×Q₈	—	12	4	no	—
1424	C₂×Q₈	C₂³×D₃	1	2	yes	—
1425	C₂×Q₈	C₂³×D₃	1	2	yes	—
1426	C₂×Q₈	C₂³×D₃	1	2	yes	—
1427	C₂×D₄	—	2	4	no	—
1428	C₂×D₄	—	3	2	no	—
1429	C₂×D₄	—	3	4	no	—
1430	C₂×D₄	—	3	2	no	—
1431	C₂×D₄	—	3	4	no	—
1432	C₂×D₄	—	3	4	no	—
1433	C₂×D₄	—	3	8	no	—
1434	C₂×D₄	—	3	4	no	—
1435	C₂×D₄	—	3	4	no	—
1436	C₂×D₄	—	3	4	no	—
1437	C₂×D₄	—	3	8	no	—
1438	C₂×D₄	—	3	8	no	—
1439	C₂×D₄	—	3	8	no	—
1440	C₂×D₄	—	3	8	no	—
1441	C₂×D₄	—	3	4	no	—
1442	C₂×D₄	—	3	4	no	—
1443	C₂×D₄	—	3	1	no	—
1444	C₂×D₄	—	3	4	no	—
1445	C₂×D₄	—	3	8	no	—
1446	C₂×D₄	—	3	2	no	—
1447	C₂×D₄	—	3	4	no	—
1448	C₂×D₄	—	3	1	no	—
1449	C₂×D₄	—	3	1	no	—
1450	C₂×D₄	—	3	4	no	—
1451	C₂×D₄	—	3	4	no	—
1452	C₂×D₄	—	3	1	no	—
1453	C₂×D₄	—	3	4	no	—
1454	C₂×D₄	—	3	4	no	—
1455	C₂×D₄	—	3	8	no	—
1456	C₂×D₄	—	3	4	no	—
1457	C₂×D₄	—	3	4	no	—
1458	C₂×D₄	—	3	8	no	—
1459	C₂×D₄	—	3	8	no	—
1460	C₂×D₄	—	3	8	no	—
1461	C₂×D₄	—	3	4	no	—
1462	C₂×D₄	—	3	4	no	—
1463	C₂×D₄	—	6	4	no	—
1464	C₂×D₄	—	6	16	no	—
1465	C₂×D₄	—	6	8	no	—
1466	C₂×D₄	—	6	8	no	—
1467	C₂×D₄	—	12	4	no	—
1468	C₂×D₄	—	12	8	no	—
1469	C₂×D₄	—	12	8	no	—
1470	C₂×D₄	—	12	16	no	—
1471	C₂×D₄	—	12	8	no	—
1472	C₂×D₄	—	12	16	no	—
1473	C₂×D₄	—	12	8	no	—
1474	C₂×D₄	—	12	8	no	—
1475	C₂×D₄	—	12	8	no	—
1476	C₂×D₄	—	12	8	no	—
1477	C₂×D₄	—	12	4	no	—
1478	C₂×D₄	—	12	8	no	—
1479	C₂×D₄	—	12	8	no	—
1480	C₂×D₄	—	12	16	no	—
1481	C₂×D₄	—	12	8	no	—
1482	C₂×D₄	—	12	8	no	—
1483	C₂×D₄	—	12	16	no	—
1484	C₂×D₄	—	12	16	no	—
1485	C₂×D₄	—	24	2	no	—
1486	C₂×D₄	—	24	4	no	—
1487	C₂×D₄	—	24	8	no	—
1488	C₂×D₄	—	24	8	no	—
1489	C₂×D₄	C₂³×D₃	1	2	yes	—
1490	C₂×D₄	C₂³×D₃	1	4	yes	—
1491	C₂×D₄	C₂³×D₃	1	2	yes	—
1492	C₂×D₄	C₂³×D₃	1	2	yes	—
1493	C₂×D₄	C₂³×D₃	1	2	yes	—
1494	C₂×D₄	C₂³×D₃	1	8	yes	—
1495	C₂×D₄	C₂³×D₃	1	2	yes	—
1496	C₂×D₄	C₂³×D₃	1	8	yes	—
1497	C₂²×C₄	—	3	2	no	—
1498	C₂²×C₄	—	3	4	no	—
1499	C₂²×C₄	—	3	2	no	—
1500	C₂²×C₄	—	3	4	no	—
1501	C₂²×C₄	—	3	2	no	—
1502	C₂²×C₄	—	3	2	no	—
1503	C₂²×C₄	—	3	2	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	8	no	—
1514	C₂²×C₄	—	3	8	no	—
1515	C₂²×C₄	—	3	4	no	—
1516	C₂²×C₄	—	4	4	no	—
1517	C₂²×C₄	—	6	8	no	—
1518	C₂²×C₄	—	12	8	no	—
1519	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1520	C₂²×C₄	C₂³×D₃	1	4	yes	—
1521	C₂²×C₄	C₂³×D₃	1	4	yes	—
1522	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₃	1	2	yes	—
1524	C₂²×C₄	C₂³×D₃	1	8	yes	—
1525	C₂²×C₄	C₂³×D₃	1	4	yes	—
1526	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1527	C₄⋊C₄	—	3	1	no	—
1528	C₄⋊C₄	—	3	1	no	—
1529	C₄⋊C₄	—	3	1	no	—
1530	C₄⋊C₄	—	3	1	no	—
1531	C₄⋊C₄	—	3	4	no	—
1532	C₄⋊C₄	—	3	4	no	—
1533	C₄⋊C₄	—	3	2	no	—
1534	C₄⋊C₄	—	3	4	no	—
1535	C₄⋊C₄	—	3	4	no	—
1536	C₄⋊C₄	—	3	4	no	—
1537	C₄⋊C₄	—	3	1	no	—
1538	C₄⋊C₄	—	3	1	no	—
1539	C₄⋊C₄	—	3	4	no	—
1540	C₄⋊C₄	—	3	4	no	—
1541	C₄⋊C₄	—	3	4	no	—
1542	C₄⋊C₄	—	3	2	no	—
1543	C₄⋊C₄	—	3	2	no	—
1544	C₄⋊C₄	—	3	2	no	—
1545	C₄⋊C₄	—	3	2	no	—
1546	C₄⋊C₄	—	3	4	no	—
1547	C₄⋊C₄	—	3	4	no	—
1548	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1549	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1550	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1551	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1552	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1553	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1554	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1555	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1556	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1557	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1558	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1559	C₂²⋊C₄	—	3	2	no	—
1560	C₂²⋊C₄	—	3	2	no	—
1561	C₂²⋊C₄	—	3	4	no	—
1562	C₂²⋊C₄	—	3	4	no	—
1563	C₂²⋊C₄	—	3	4	no	—
1564	C₂²⋊C₄	—	3	4	no	—
1565	C₂²⋊C₄	—	3	4	no	—
1566	C₂²⋊C₄	—	3	4	no	—
1567	C₂²⋊C₄	—	3	4	no	—
1568	C₂²⋊C₄	—	3	2	no	—
1569	C₂²⋊C₄	—	3	4	no	—
1570	C₂²⋊C₄	—	3	4	no	—
1571	C₂²⋊C₄	—	3	4	no	—
1572	C₂²⋊C₄	—	3	4	no	—
1573	C₂²⋊C₄	—	3	8	no	—
1574	C₂²⋊C₄	—	3	8	no	—
1575	C₂²⋊C₄	—	3	4	no	—
1576	C₂²⋊C₄	—	3	2	no	—
1577	C₂²⋊C₄	—	3	4	no	—
1578	C₂²⋊C₄	—	3	4	no	—
1579	C₂²⋊C₄	—	3	8	no	—
1580	C₂²⋊C₄	—	3	8	no	—
1581	C₂²⋊C₄	—	3	2	no	—
1582	C₂²⋊C₄	—	3	2	no	—
1583	C₂²⋊C₄	—	3	8	no	—
1584	C₂²⋊C₄	—	3	8	no	—
1585	C₂²⋊C₄	—	3	8	no	—
1586	C₂²⋊C₄	—	3	8	no	—
1587	C₂²⋊C₄	—	3	2	no	—
1588	C₂²⋊C₄	—	3	4	no	—
1589	C₂²⋊C₄	—	3	2	no	—
1590	C₂²⋊C₄	—	3	2	no	—
1591	C₂²⋊C₄	—	3	2	no	—
1592	C₂²⋊C₄	—	3	4	no	—
1593	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1594	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1595	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1596	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1597	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1598	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1599	C₂²⋊C₄	C₂³×D₃	1	8	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	2	no	—
1608	C₄²	—	3	2	no	—
1609	C₄²	C₂³×D₃	1	1	yes	characteristic
1610	C₄²	C₂³×D₃	1	1	yes	characteristic
1611	C₄²	C₂³×D₃	1	4	yes	—
1612	C₄²	C₂³×D₃	1	1	yes	characteristic
1613	C₄²	C₂³×D₃	1	1	yes	characteristic
1614	C₄²	C₂³×D₃	1	8	yes	—
1615	C₂²×C₃	—	2	1	no	—
1616	C₂²×C₃	—	2	1	no	—
1617	C₂²×C₃	—	2	4	no	—
1618	C₂²×C₃	—	2	4	no	—
1619	C₂²×C₃	—	2	4	no	—
1620	C₂²×C₃	—	2	4	no	—
1621	C₂²×C₃	—	2	4	no	—
1622	C₂²×C₃	—	2	4	no	—
1623	C₂²×C₃	—	4	8	no	—
1624	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1625	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1626	C₂×D₃	—	2	2	no	—
1627	C₂×D₃	—	2	2	no	—
1628	C₂×D₃	—	2	2	no	—
1629	C₂×D₃	—	2	2	no	—
1630	C₂×D₃	—	2	2	no	—
1631	C₂×D₃	—	2	2	no	—
1632	C₂×D₃	—	2	2	no	—
1633	C₂×D₃	—	2	8	no	—
1634	C₂×D₃	—	2	8	no	—
1635	C₂×D₃	—	2	2	no	—
1636	C₂×D₃	—	2	2	no	—
1637	C₂×D₃	—	2	8	no	—
1638	C₂×D₃	—	2	2	no	—
1639	C₂×D₃	—	2	2	no	—
1640	C₂×D₃	—	4	8	no	—
1641	C₂×D₃	—	8	8	no	—
1642	C₂×D₃	—	8	16	no	—
1643	C₂×D₃	—	8	8	no	—
1644	C₂×D₃	—	8	16	no	—
1645	C₂×D₃	—	16	8	no	—
1646	C₂×D₃	C₂×H(5,𝔽₂)	1	4	yes	—
1647	C₃×C₄	—	2	4	no	—
1648	C₃×C₄	—	2	4	no	—
1649	C₃×C₄	—	2	4	no	—
1650	C₃×C₄	—	2	1	no	—
1651	C₃×C₄	—	2	4	no	—
1652	C₃×C₄	—	2	1	no	—
1653	C₃×C₄	—	2	1	no	—
1654	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1655	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1656	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1657	Dic₃	—	2	2	no	—
1658	Dic₃	—	2	2	no	—
1659	Dic₃	—	2	2	no	—
1660	Dic₃	—	2	2	no	—
1661	Dic₃	—	2	2	no	—
1662	Dic₃	—	2	2	no	—
1663	Dic₃	—	2	2	no	—
1664	Dic₃	—	2	2	no	—
1665	C₂³	—	2	4	no	—
1666	C₂³	—	3	2	no	—
1667	C₂³	—	3	2	no	—
1668	C₂³	—	3	2	no	—
1669	C₂³	—	3	8	no	—
1670	C₂³	—	3	2	no	—
1671	C₂³	—	4	2	no	—
1672	C₂³	—	4	2	no	—
1673	C₂³	—	6	4	no	—
1674	C₂³	—	6	8	no	—
1675	C₂³	—	6	16	no	—
1676	C₂³	—	6	4	no	—
1677	C₂³	—	6	8	no	—
1678	C₂³	—	12	2	no	—
1679	C₂³	—	12	4	no	—
1680	C₂³	—	12	4	no	—
1681	C₂³	—	12	8	no	—
1682	C₂³	—	12	8	no	—
1683	C₂³	—	12	8	no	—
1684	C₂³	—	12	4	no	—
1685	C₂³	—	12	4	no	—
1686	C₂³	—	12	8	no	—
1687	C₂³	—	12	8	no	—
1688	C₂³	—	12	8	no	—
1689	C₂³	—	12	8	no	—
1690	C₂³	—	12	8	no	—
1691	C₂³	—	24	32	no	—
1692	C₂³	C₂⁴×D₃	1	4	yes	—
1693	C₂³	C₂⁴×D₃	1	4	yes	—
1694	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1695	Q₈	—	2	4	no	—
1696	Q₈	—	2	4	no	—
1697	Q₈	—	4	2	no	—
1698	Q₈	—	6	2	no	—
1699	Q₈	—	6	2	no	—
1700	Q₈	—	12	4	no	—
1701	Q₈	—	12	4	no	—
1702	D₄	—	2	8	no	—
1703	D₄	—	2	4	no	—
1704	D₄	—	2	4	no	—
1705	D₄	—	2	4	no	—
1706	D₄	—	2	4	no	—
1707	D₄	—	3	4	no	—
1708	D₄	—	4	8	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	4	8	no	—
1711	D₄	—	6	4	no	—
1712	D₄	—	6	16	no	—
1713	D₄	—	6	8	no	—
1714	D₄	—	6	8	no	—
1715	D₄	—	6	4	no	—
1716	D₄	—	6	4	no	—
1717	D₄	—	6	8	no	—
1718	D₄	—	6	8	no	—
1719	D₄	—	6	2	no	—
1720	D₄	—	6	2	no	—
1721	D₄	—	6	2	no	—
1722	D₄	—	6	8	no	—
1723	D₄	—	12	4	no	—
1724	D₄	—	12	8	no	—
1725	D₄	—	12	8	no	—
1726	D₄	—	12	4	no	—
1727	D₄	—	12	8	no	—
1728	D₄	—	12	4	no	—
1729	D₄	—	12	4	no	—
1730	D₄	—	12	4	no	—
1731	D₄	—	12	4	no	—
1732	D₄	—	12	8	no	—
1733	D₄	—	12	8	no	—
1734	D₄	—	12	8	no	—
1735	D₄	—	12	8	no	—
1736	D₄	—	12	4	no	—
1737	D₄	—	12	8	no	—
1738	D₄	—	12	4	no	—
1739	D₄	—	12	4	no	—
1740	D₄	—	12	4	no	—
1741	D₄	—	12	4	no	—
1742	D₄	—	12	4	no	—
1743	D₄	—	12	8	no	—
1744	D₄	—	12	4	no	—
1745	C₂×C₄	—	2	8	no	—
1746	C₂×C₄	—	2	2	no	—
1747	C₂×C₄	—	2	8	no	—
1748	C₂×C₄	—	3	2	no	—
1749	C₂×C₄	—	3	2	no	—
1750	C₂×C₄	—	3	2	no	—
1751	C₂×C₄	—	3	2	no	—
1752	C₂×C₄	—	3	2	no	—
1753	C₂×C₄	—	3	2	no	—
1754	C₂×C₄	—	3	2	no	—
1755	C₂×C₄	—	3	2	no	—
1756	C₂×C₄	—	4	4	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	4	8	no	—
1759	C₂×C₄	—	4	1	no	—
1760	C₂×C₄	—	6	8	no	—
1761	C₂×C₄	—	6	4	no	—
1762	C₂×C₄	—	6	4	no	—
1763	C₂×C₄	—	6	4	no	—
1764	C₂×C₄	—	6	4	no	—
1765	C₂×C₄	—	6	4	no	—
1766	C₂×C₄	—	6	4	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	8	no	—
1774	C₂×C₄	—	12	2	no	—
1775	C₂×C₄	—	12	4	no	—
1776	C₂×C₄	—	12	8	no	—
1777	C₂×C₄	—	12	2	no	—
1778	C₂×C₄	—	12	4	no	—
1779	C₂×C₄	#1009	1	4	yes	complemented
1780	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1781	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1782	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1783	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1784	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1785	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1786	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
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	2	no	—
1791	C₂×C₃	—	4	4	no	—
1792	C₂×C₃	—	4	4	no	—
1793	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1794	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1795	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1796	D₃	—	2	4	no	—
1797	D₃	—	4	2	no	—
1798	D₃	—	4	2	no	—
1799	D₃	—	4	8	no	—
1800	D₃	—	4	2	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	4	no	—
1804	C₂²	—	2	4	no	—
1805	C₂²	—	2	4	no	—
1806	C₂²	—	2	4	no	—
1807	C₂²	—	2	4	no	—
1808	C₂²	—	2	4	no	—
1809	C₂²	—	3	4	no	—
1810	C₂²	—	4	8	no	—
1811	C₂²	—	6	2	no	—
1812	C₂²	—	6	2	no	—
1813	C₂²	—	6	2	no	—
1814	C₂²	—	6	2	no	—
1815	C₂²	—	6	2	no	—
1816	C₂²	—	6	8	no	—
1817	C₂²	—	6	2	no	—
1818	C₂²	—	6	2	no	—
1819	C₂²	—	6	8	no	—
1820	C₂²	—	6	2	no	—
1821	C₂²	—	6	2	no	—
1822	C₂²	—	6	8	no	—
1823	C₂²	—	6	2	no	—
1824	C₂²	—	6	2	no	—
1825	C₂²	—	12	8	no	—
1826	C₂²	—	24	8	no	—
1827	C₂²	—	24	16	no	—
1828	C₂²	—	24	8	no	—
1829	C₂²	—	24	16	no	—
1830	C₂²	—	48	8	no	—
1831	C₂²	C₂×#1009	1	2	yes	—
1832	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1833	C₄	—	2	4	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	4	no	—
1836	C₄	—	2	4	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	4	no	—
1840	C₄	—	6	2	no	—
1841	C₄	—	6	2	no	—
1842	C₄	—	6	2	no	—
1843	C₄	—	6	2	no	—
1844	C₄	—	6	2	no	—
1845	C₄	—	6	2	no	—
1846	C₄	—	6	2	no	—
1847	C₄	—	6	2	no	—
1848	C₄	C₂×#1009	1	2	yes	—
1849	C₄	C₂×#1009	1	2	yes	—
1850	C₄	D₃×H(5,𝔽₂)	1	2	yes	—
1851	C₃	#62912	1	1	yes	characteristic, complemented, Sylow
1852	C₂	—	2	2	no	—
1853	C₂	—	4	4	no	—
1854	C₂	—	4	4	no	—
1855	C₂	—	6	4	no	—
1856	C₂	—	12	2	no	—
1857	C₂	—	12	8	no	—
1858	C₂	—	12	2	no	—
1859	C₂	—	12	2	no	—
1860	C₂	C₂²×#1009	1	1	yes	characteristic
1861	C₂	C₂×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1862	C₂	#87574	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3506	C₂
hypercenter	#3506	D₃
hypocenter	C₃	#62912
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3506

Complements

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

N	H ≅ G/N	type
1. C₃×#3506	C₂	semidirect
2. #87069	C₂	semidirect
3. #87066	C₂	semidirect
4. #87009	C₂	semidirect
5. #86986	C₂	semidirect
6. #86968	C₂	semidirect
7. #86964	C₂	semidirect
8. #86916	C₂	semidirect
9. #86895	C₂	semidirect
10. #86787	C₂	semidirect
11. #86770	C₂	semidirect
12. #86707	C₂	semidirect
13. #86702	C₂	semidirect
14. #86418	C₂	semidirect
15. #86330	C₂	semidirect
16. D₃×#535	C₂	semidirect
17. #86276	C₂	semidirect
18. #86261	C₂	semidirect
19. #86242	C₂	semidirect
20. #86238	C₂	semidirect
21. #86058	C₂	semidirect
22. #86039	C₂	semidirect
23. #85903	C₂	semidirect
24. #85900	C₂	semidirect
25. C₂×D₄×D₁₂	C₂	semidirect
26. #85777	C₂	semidirect
28. C₂×#1009	C₂²	semidirect
29. C₂×#1009	C₂²	semidirect
30. C₂×D₃×#41	C₂²	semidirect
31. C₂²×D₃×D₄	C₂²	semidirect
32. C₂³×D₁₂	C₂²	semidirect
33. C₃×#559	C₂²	semidirect
34. C₃×#556	C₂²	semidirect
35. C₃×#555	C₂²	semidirect
36. C₃×#553	C₂²	semidirect
37. C₃×#550	C₂²	semidirect
38. C₃×#547	C₂²	semidirect
39. C₃×#538	C₂²	semidirect
40. C₃×#535	C₂²	semidirect
41. C₃×#533	C₂²	semidirect
42. C₃×#532	C₂²	semidirect
43. C₃×#525	C₂²	semidirect
44. C₃×#520	C₂²	semidirect
45. C₂×C₃×C₄×D₄	C₂²	semidirect
46. #5834	C₂²	semidirect
47. #5830	C₂²	semidirect
48. #5830	C₂²	semidirect
49. #5829	C₂²	semidirect
50. #5828	C₂²	semidirect
51. #5805	C₂²	semidirect
52. #5805	C₂²	semidirect
53. #5791	C₂²	semidirect
54. C₂×#930	C₂²	semidirect
55. #5734	C₂²	semidirect
56. #5732	C₂²	semidirect
57. #5730	C₂²	semidirect
58. #5727	C₂²	semidirect
59. #5726	C₂²	semidirect
60. #5726	C₂²	semidirect
61. #5725	C₂²	semidirect
62. #5725	C₂²	semidirect
63. #5725	C₂²	semidirect
64. #5718	C₂²	semidirect
65. #5717	C₂²	semidirect
66. #5717	C₂²	semidirect
67. #5717	C₂²	semidirect
68. #5715	C₂²	semidirect
69. D₃×#127	C₂²	semidirect
70. D₃×#127	C₂²	semidirect
71. #5711	C₂²	semidirect
72. #5705	C₂²	semidirect
73. #5704	C₂²	semidirect
74. #5704	C₂²	semidirect
75. #5697	C₂²	semidirect
76. #5695	C₂²	semidirect
77. #5694	C₂²	semidirect
78. #5683	C₂²	semidirect
79. #5678	C₂²	semidirect
80. #5677	C₂²	semidirect
81. #5676	C₂²	semidirect
82. #5676	C₂²	semidirect
83. #5676	C₂²	semidirect
84. #5676	C₂²	semidirect
85. #5674	C₂²	semidirect
86. #5674	C₂²	semidirect
87. #5674	C₂²	semidirect
88. D₃×#124	C₂²	semidirect
89. #5667	C₂²	semidirect
90. #5666	C₂²	semidirect
91. #5666	C₂²	semidirect
92. #5657	C₂²	semidirect
93. #5654	C₂²	semidirect
94. #5653	C₂²	semidirect
95. #5653	C₂²	semidirect
96. #5653	C₂²	semidirect
97. #5643	C₂²	semidirect
98. #5642	C₂²	semidirect
99. #5637	C₂²	semidirect
100. #5630	C₂²	semidirect
101. #5630	C₂²	semidirect
102. #5630	C₂²	semidirect
103. #5630	C₂²	semidirect
104. #5630	C₂²	semidirect
105. #5629	C₂²	semidirect
106. #5620	C₂²	semidirect
107. #5619	C₂²	semidirect
108. #5612	C₂²	semidirect
109. #5612	C₂²	semidirect
110. #5611	C₂²	semidirect
111. #5610	C₂²	semidirect
112. #5609	C₂²	semidirect
113. #5609	C₂²	semidirect
114. #5609	C₂²	semidirect
115. #5609	C₂²	semidirect
116. #5609	C₂²	semidirect
117. #5609	C₂²	semidirect
118. #5609	C₂²	semidirect
119. #5609	C₂²	semidirect
120. #5607	C₂²	semidirect
121. #5607	C₂²	semidirect
122. #5607	C₂²	semidirect
123. #5607	C₂²	semidirect
124. #5605	C₂²	semidirect
125. D₃×#121	C₂²	semidirect
126. D₃×#121	C₂²	semidirect
127. #5592	C₂²	semidirect
128. #5589	C₂²	semidirect
129. D₃×#120	C₂²	semidirect
130. D₃×#120	C₂²	semidirect
131. #5585	C₂²	semidirect
132. #5585	C₂²	semidirect
133. #5582	C₂²	semidirect
134. #5580	C₂²	semidirect
135. #5580	C₂²	semidirect
136. #5580	C₂²	semidirect
137. #5577	C₂²	semidirect
138. #5577	C₂²	semidirect
139. #5577	C₂²	semidirect
140. #5576	C₂²	semidirect
141. C₄×#239	C₂²	semidirect
142. #5562	C₂²	semidirect
143. #5562	C₂²	semidirect
144. #5562	C₂²	semidirect
145. #5562	C₂²	semidirect
146. #5561	C₂²	semidirect
147. #5561	C₂²	semidirect
148. #5560	C₂²	semidirect
149. #5557	C₂²	semidirect
150. #5557	C₂²	semidirect
151. #5556	C₂²	semidirect
152. #5554	C₂²	semidirect
153. #5554	C₂²	semidirect
154. #5553	C₂²	semidirect
155. #5553	C₂²	semidirect
156. #5550	C₂²	semidirect
157. #5550	C₂²	semidirect
158. D₄×D₁₂	C₂²	semidirect
159. D₄×D₁₂	C₂²	semidirect
160. D₄×D₁₂	C₂²	semidirect
161. D₄×D₁₂	C₂²	semidirect
162. D₄×D₁₂	C₂²	semidirect
163. D₄×D₁₂	C₂²	semidirect
164. D₄×D₁₂	C₂²	semidirect
165. D₄×D₁₂	C₂²	semidirect
166. D₄×D₁₂	C₂²	semidirect
167. D₄×D₁₂	C₂²	semidirect
168. D₄×D₁₂	C₂²	semidirect
169. #5548	C₂²	semidirect
170. #5548	C₂²	semidirect
171. #5548	C₂²	semidirect
172. #5548	C₂²	semidirect
173. #5547	C₂²	semidirect
174. C₄×D₃×D₄	C₂²	semidirect
175. #5532	C₂²	semidirect
176. #5532	C₂²	semidirect
177. #5530	C₂²	semidirect
178. #5530	C₂²	semidirect
179. #5525	C₂²	semidirect
180. #5525	C₂²	semidirect
181. #5525	C₂²	semidirect
182. #5524	C₂²	semidirect
183. #5524	C₂²	semidirect
184. #5521	C₂²	semidirect
185. #5521	C₂²	semidirect
186. D₃×#117	C₂²	semidirect
187. #5514	C₂²	semidirect
188. #5510	C₂²	semidirect
189. #5510	C₂²	semidirect
190. #5507	C₂²	semidirect
191. C₂×#895	C₂²	semidirect
192. C₂×#895	C₂²	semidirect
193. #5500	C₂²	semidirect
194. #5494	C₂²	semidirect
195. C₂×#882	C₂²	semidirect
196. C₂×#874	C₂²	semidirect
197. C₄×#235	C₂²	semidirect
198. C₄×#235	C₂²	semidirect
199. C₂×C₄×D₁₂	C₂²	semidirect
213. #3506	D₃	semidirect
228. C₂×C₃×#41	C₂³	semidirect
236. C₂×#239	C₂³	semidirect
237. C₂×#239	C₂³	semidirect
238. C₂×#239	C₂³	semidirect
239. C₂×#239	C₂³	semidirect
240. C₂×D₃×Q₈	C₂³	semidirect
242. C₂×#237	C₂³	semidirect
251. C₂×D₃×D₄	C₂³	semidirect
252. C₂×D₃×D₄	C₂³	semidirect
253. C₂×D₃×D₄	C₂³	semidirect
254. C₂×D₃×D₄	C₂³	semidirect
255. C₂×D₃×D₄	C₂³	semidirect
256. C₂×D₃×D₄	C₂³	semidirect
257. C₂×D₃×D₄	C₂³	semidirect
258. C₂×D₃×D₄	C₂³	semidirect
261. C₂×#235	C₂³	semidirect
262. C₂×#235	C₂³	semidirect
263. C₂×#235	C₂³	semidirect
264. C₂×#235	C₂³	semidirect
274. C₂²×D₁₂	C₂³	semidirect
275. C₂²×D₁₂	C₂³	semidirect
277. C₂²×C₄×D₃	C₂³	semidirect
278. C₃×C₄⋊Q₈	C₂³	semidirect
279. C₃×C₄⋊Q₈	C₂³	semidirect
280. C₃×C₄⋊Q₈	C₂³	semidirect
282. C₃×#127	C₂³	semidirect
283. C₃×#126	C₂³	semidirect
284. C₃×#125	C₂³	semidirect
286. C₃×#124	C₂³	semidirect
287. C₃×#124	C₂³	semidirect
288. C₃×#123	C₂³	semidirect
289. C₃×#123	C₂³	semidirect
292. C₃×C₂²⋊Q₈	C₂³	semidirect
297. C₃×#121	C₂³	semidirect
298. C₃×#121	C₂³	semidirect
300. C₃×C₄×Q₈	C₂³	semidirect
301. C₃×C₄×Q₈	C₂³	semidirect
302. C₃×C₄×Q₈	C₂³	semidirect
308. C₃×C₄×D₄	C₂³	semidirect
309. C₃×C₄×D₄	C₂³	semidirect
310. C₃×C₄×D₄	C₂³	semidirect
311. C₃×C₄×D₄	C₂³	semidirect
313. C₃×#117	C₂³	semidirect
314. C₃×#117	C₂³	semidirect
316. C₂×C₃×C₄⋊C₄	C₂³	semidirect
322. #947	C₂³	semidirect
323. #947	C₂³	semidirect
324. #947	C₂³	semidirect
325. #947	C₂³	semidirect
326. #946	C₂³	semidirect
327. #946	C₂³	semidirect
328. #946	C₂³	semidirect
329. #946	C₂³	semidirect
330. Q₈×Dic₃	C₂³	semidirect
334. #940	C₂³	semidirect
335. #940	C₂³	semidirect
336. #940	C₂³	semidirect
337. #940	C₂³	semidirect
338. #940	C₂³	semidirect
339. #939	C₂³	semidirect
340. #939	C₂³	semidirect
341. #939	C₂³	semidirect
346. #938	C₂³	semidirect
347. #938	C₂³	semidirect
348. #938	C₂³	semidirect
349. #938	C₂³	semidirect
350. #938	C₂³	semidirect
353. #937	C₂³	semidirect
354. #937	C₂³	semidirect
355. #937	C₂³	semidirect
356. #937	C₂³	semidirect
357. #937	C₂³	semidirect
358. #937	C₂³	semidirect
359. #937	C₂³	semidirect
363. D₄×Dic₃	C₂³	semidirect
368. #930	C₂³	semidirect
369. #930	C₂³	semidirect
370. #930	C₂³	semidirect
371. #930	C₂³	semidirect
372. #930	C₂³	semidirect
373. #930	C₂³	semidirect
374. #929	C₂³	semidirect
375. #929	C₂³	semidirect
376. #929	C₂³	semidirect
381. C₄×#67	C₂³	semidirect
382. C₄×#67	C₂³	semidirect
383. C₄×#67	C₂³	semidirect
384. C₄×#67	C₂³	semidirect
385. C₄×#67	C₂³	semidirect
388. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
391. #926	C₂³	semidirect
394. #924	C₂³	semidirect
395. #898	C₂³	semidirect
396. #898	C₂³	semidirect
397. #898	C₂³	semidirect
398. #898	C₂³	semidirect
399. #897	C₂³	semidirect
400. #897	C₂³	semidirect
401. #897	C₂³	semidirect
402. #897	C₂³	semidirect
403. #897	C₂³	semidirect
404. #896	C₂³	semidirect
405. #896	C₂³	semidirect
413. #895	C₂³	semidirect
414. #895	C₂³	semidirect
415. #895	C₂³	semidirect
416. #895	C₂³	semidirect
417. #895	C₂³	semidirect
418. #895	C₂³	semidirect
419. #895	C₂³	semidirect
420. #895	C₂³	semidirect
421. #895	C₂³	semidirect
422. #895	C₂³	semidirect
423. #895	C₂³	semidirect
424. #895	C₂³	semidirect
425. #895	C₂³	semidirect
426. #895	C₂³	semidirect
427. #895	C₂³	semidirect
429. #894	C₂³	semidirect
430. #894	C₂³	semidirect
431. #894	C₂³	semidirect
432. #894	C₂³	semidirect
433. #894	C₂³	semidirect
434. #894	C₂³	semidirect
435. #894	C₂³	semidirect
438. #893	C₂³	semidirect
439. #893	C₂³	semidirect
440. #893	C₂³	semidirect
441. #893	C₂³	semidirect
442. #893	C₂³	semidirect
443. #893	C₂³	semidirect
444. #893	C₂³	semidirect
445. #892	C₂³	semidirect
446. #892	C₂³	semidirect
447. #892	C₂³	semidirect
448. #892	C₂³	semidirect
449. D₃×C₄⋊C₄	C₂³	semidirect
450. D₃×C₄⋊C₄	C₂³	semidirect
451. D₃×C₄⋊C₄	C₂³	semidirect
452. #890	C₂³	semidirect
453. #890	C₂³	semidirect
454. #890	C₂³	semidirect
455. #890	C₂³	semidirect
456. #888	C₂³	semidirect
457. #888	C₂³	semidirect
458. #888	C₂³	semidirect
460. #886	C₂³	semidirect
461. #885	C₂³	semidirect
462. #885	C₂³	semidirect
463. #885	C₂³	semidirect
464. #885	C₂³	semidirect
465. #885	C₂³	semidirect
466. #885	C₂³	semidirect
468. #884	C₂³	semidirect
469. #884	C₂³	semidirect
470. #884	C₂³	semidirect
471. #884	C₂³	semidirect
472. #884	C₂³	semidirect
473. #884	C₂³	semidirect
474. #884	C₂³	semidirect
475. #884	C₂³	semidirect
476. #884	C₂³	semidirect
477. #884	C₂³	semidirect
478. #884	C₂³	semidirect
479. #883	C₂³	semidirect
480. #883	C₂³	semidirect
481. #883	C₂³	semidirect
482. #883	C₂³	semidirect
483. #883	C₂³	semidirect
484. #883	C₂³	semidirect
492. #882	C₂³	semidirect
493. #882	C₂³	semidirect
494. #882	C₂³	semidirect
495. #882	C₂³	semidirect
496. #882	C₂³	semidirect
497. #882	C₂³	semidirect
498. #882	C₂³	semidirect
499. #882	C₂³	semidirect
500. #882	C₂³	semidirect
501. #67⋊C₄	C₂³	semidirect
504. D₃×C₂²⋊C₄	C₂³	semidirect
505. D₃×C₂²⋊C₄	C₂³	semidirect
506. D₃×C₂²⋊C₄	C₂³	semidirect
507. D₃×C₂²⋊C₄	C₂³	semidirect
508. D₃×C₂²⋊C₄	C₂³	semidirect
509. #879	C₂³	semidirect
510. #879	C₂³	semidirect
511. #878	C₂³	semidirect
513. #876	C₂³	semidirect
514. #875	C₂³	semidirect
515. #875	C₂³	semidirect
516. #875	C₂³	semidirect
521. #874	C₂³	semidirect
522. #874	C₂³	semidirect
529. C₄×D₁₂	C₂³	semidirect
530. C₄×D₁₂	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. C₄×D₁₂	C₂³	semidirect
538. C₄×D₁₂	C₂³	semidirect
539. C₄×D₁₂	C₂³	semidirect
540. #872	C₂³	semidirect
541. #872	C₂³	semidirect
542. #872	C₂³	semidirect
543. #872	C₂³	semidirect
544. C₄²×D₃	C₂³	semidirect
545. C₄²×D₃	C₂³	semidirect
546. C₄²×D₃	C₂³	semidirect
547. C₄×Dic₆	C₂³	semidirect
548. C₄×Dic₆	C₂³	semidirect
549. C₄×Dic₆	C₂³	semidirect
550. C₄×Dic₆	C₂³	semidirect
564. #559	C₂×D₃	semidirect
566. #556	C₂×D₃	semidirect
570. #555	C₂×D₃	semidirect
576. #553	C₂×D₃	semidirect
589. #550	C₂×D₃	semidirect
597. #547	C₂×D₃	semidirect
655. #538	C₂×D₃	semidirect
675. #535	C₂×D₃	semidirect
681. #533	C₂×D₃	semidirect
689. #532	C₂×D₃	semidirect
704. #525	C₂×D₃	semidirect
713. #520	C₂×D₃	semidirect
721. C₂×C₄×D₄	C₂×D₃	semidirect
962. C₂×#41	C₂²×D₃	semidirect
999. C₄⋊Q₈	C₂²×D₃	semidirect
1000. C₄⋊Q₈	C₂²×D₃	semidirect
1001. C₄⋊Q₈	C₂²×D₃	semidirect
1017. #127	C₂²×D₃	semidirect
1025. #126	C₂²×D₃	semidirect
1030. #125	C₂²×D₃	semidirect
1048. #124	C₂²×D₃	semidirect
1049. #124	C₂²×D₃	semidirect
1070. #123	C₂²×D₃	semidirect
1071. #123	C₂²×D₃	semidirect
1088. C₂²⋊Q₈	C₂²×D₃	semidirect
1149. #121	C₂²×D₃	semidirect
1150. #121	C₂²×D₃	semidirect
1184. C₄×Q₈	C₂²×D₃	semidirect
1185. C₄×Q₈	C₂²×D₃	semidirect
1186. C₄×Q₈	C₂²×D₃	semidirect
1229. C₄×D₄	C₂²×D₃	semidirect
1230. C₄×D₄	C₂²×D₃	semidirect
1231. C₄×D₄	C₂²×D₃	semidirect
1232. C₄×D₄	C₂²×D₃	semidirect
1246. #117	C₂²×D₃	semidirect
1247. #117	C₂²×D₃	semidirect
1253. C₂×C₄⋊C₄	C₂²×D₃	semidirect
1317. C₂×C₃×C₄	H(5,𝔽₂)	semidirect
1372. D₁₂	H(5,𝔽₂)	semidirect
1779. C₂×C₄	#1009	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
C₃×#3506	2
#87069	2
#87066	2
#87009	2
#86986	2
#86968	2
#86964	2
#86916	2
#86895	2
#86787	2
#86770	2
#86707	2
#86702	2
#86418	2
#86330	2
D₃×#535	2
#86276	2
#86261	2
#86242	2
#86238	2
#86058	2
#86039	2
#85903	2
#85900	2
C₂×D₄×D₁₂	2
#85777	2
#62912	3