Subgroups — #11707717

Order 768.

8050 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	#87082	C₂	1	8	yes	maximal, complemented
3	#87054	C₂	1	2	yes	maximal, complemented
4	#86788	C₂	1	2	yes	maximal, complemented
5	#86766	C₂	1	2	yes	maximal, complemented
6	#86670	C₂	1	4	yes	maximal, complemented
7	D₃×#546	C₂	1	4	yes	maximal, complemented
8	#86621	C₂	1	2	yes	maximal, complemented
9	#86620	C₂	1	4	yes	maximal, complemented
10	#86612	C₂	1	4	yes	maximal, complemented
11	#86492	C₂	1	4	yes	maximal, complemented
12	#86487	C₂	1	4	yes	maximal, complemented
13	#86337	C₂	1	4	yes	maximal, complemented
14	#86331	C₂	1	4	yes	maximal, complemented
15	#86310	C₂	1	4	yes	maximal, complemented
16	#86309	C₂	1	4	yes	maximal, complemented
17	C₂×#5717	C₂	1	1	yes	maximal, characteristic, complemented
18	#86190	C₂	1	1	yes	maximal, characteristic, complemented
19	#86167	C₂	1	2	yes	maximal, complemented
20	#86153	C₂	1	2	yes	maximal, complemented
21	#63012	—	3	1	no	maximal, Sylow
22	C₂×D₃×#41	C₂²	1	4	yes	complemented
23	C₂×#1004	C₂²	1	4	yes	complemented
24	C₂²×D₃×D₄	C₂²	1	4	yes	complemented
25	C₃×#560	C₂²	1	4	yes	complemented
26	C₃×#559	C₂²	1	1	yes	characteristic, complemented
27	C₃×#550	C₂²	1	2	yes	complemented
28	C₃×#546	C₂²	1	4	yes	complemented
29	C₃×D₄²	C₂²	1	4	yes	complemented
30	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
31	C₃×#540	C₂²	1	4	yes	complemented
32	C₃×#535	C₂²	1	4	yes	complemented
33	C₃×#534	C₂²	1	4	yes	complemented
34	C₂×C₃×#127	C₂²	1	1	yes	characteristic, complemented
35	C₃×#529	C₂²	1	2	yes	complemented
36	#5833	C₂²	1	4	yes	complemented
37	#5831	C₂²	1	4	yes	complemented
38	#5829	C₂²	1	4	yes	complemented
39	#5806	C₂²	1	4	yes	complemented
40	#5806	C₂²	1	4	yes	complemented
41	#5806	C₂²	1	4	yes	complemented
42	#5805	C₂²	1	2	yes	complemented
43	D₄×#67	C₂²	1	4	yes	complemented
44	D₄×#67	C₂²	1	8	yes	complemented
45	C₂×#938	C₂²	1	4	yes	complemented
46	C₂×#938	C₂²	1	4	yes	complemented
47	C₂×#937	C₂²	1	4	yes	complemented
48	C₂×#937	C₂²	1	4	yes	complemented
49	#5798	C₂²	1	2	yes	complemented
50	#5798	C₂²	1	4	yes	complemented
51	#5719	C₂²	1	4	yes	complemented
52	#5718	C₂²	1	4	yes	complemented
53	#5718	C₂²	1	4	yes	complemented
54	#5717	C₂²	1	1	yes	characteristic, complemented
55	#5717	C₂²	1	2	yes	complemented
56	#5717	C₂²	1	4	yes	complemented
57	#5717	C₂²	1	4	yes	complemented
58	#5717	C₂²	1	4	yes	complemented
59	#5717	C₂²	1	1	yes	characteristic, complemented
60	#5717	C₂²	1	4	yes	complemented
61	#5716	C₂²	1	4	yes	complemented
62	#5716	C₂²	1	2	yes	complemented
63	#5716	C₂²	1	2	yes	complemented
64	#5715	C₂²	1	4	yes	complemented
65	#5713	C₂²	1	4	yes	complemented
66	#5709	C₂²	1	4	yes	complemented
67	#5707	C₂²	1	8	yes	complemented
68	#5705	C₂²	1	4	yes	complemented
69	#5695	C₂²	1	2	yes	complemented
70	#5694	C₂²	1	4	yes	complemented
71	#5690	C₂²	1	2	yes	complemented
72	#5682	C₂²	1	4	yes	complemented
73	#5681	C₂²	1	2	yes	complemented
74	#5677	C₂²	1	4	yes	complemented
75	#5677	C₂²	1	4	yes	complemented
76	#5676	C₂²	1	4	yes	complemented
77	#5676	C₂²	1	2	yes	complemented
78	D₃×#124	C₂²	1	4	yes	complemented
79	#5667	C₂²	1	8	yes	complemented
80	#5666	C₂²	1	4	yes	complemented
81	#5660	C₂²	1	8	yes	complemented
82	#5659	C₂²	1	4	yes	complemented
83	#5658	C₂²	1	4	yes	complemented
84	#5658	C₂²	1	8	yes	complemented
85	#5658	C₂²	1	8	yes	complemented
86	#5658	C₂²	1	8	yes	complemented
87	#5657	C₂²	1	8	yes	complemented
88	#5654	C₂²	1	4	yes	complemented
89	#5654	C₂²	1	8	yes	complemented
90	D₃×#123	C₂²	1	8	yes	complemented
91	#5635	C₂²	1	2	yes	complemented
92	#5630	C₂²	1	2	yes	complemented
93	D₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
94	#5621	C₂²	1	8	yes	complemented
95	#5620	C₂²	1	8	yes	complemented
96	#5619	C₂²	1	8	yes	complemented
97	#5618	C₂²	1	2	yes	complemented
98	#5618	C₂²	1	4	yes	complemented
99	#5617	C₂²	1	8	yes	complemented
100	#5617	C₂²	1	8	yes	complemented
101	#5614	C₂²	1	8	yes	complemented
102	#5613	C₂²	1	8	yes	complemented
103	#5612	C₂²	1	4	yes	complemented
104	#5612	C₂²	1	4	yes	complemented
105	#5612	C₂²	1	8	yes	complemented
106	#5611	C₂²	1	4	yes	complemented
107	#5610	C₂²	1	8	yes	complemented
108	#5610	C₂²	1	8	yes	complemented
109	#5609	C₂²	1	2	yes	complemented
110	#5608	C₂²	1	8	yes	complemented
111	#5608	C₂²	1	4	yes	complemented
112	#5607	C₂²	1	4	yes	complemented
113	#5607	C₂²	1	8	yes	complemented
114	#5606	C₂²	1	4	yes	complemented
115	#5606	C₂²	1	8	yes	complemented
116	#5606	C₂²	1	8	yes	complemented
117	#5606	C₂²	1	4	yes	complemented
118	#5605	C₂²	1	8	yes	complemented
119	D₃×#121	C₂²	1	8	yes	complemented
120	D₃×#121	C₂²	1	4	yes	complemented
121	#5594	C₂²	1	4	yes	complemented
122	#5593	C₂²	1	8	yes	complemented
123	#5593	C₂²	1	8	yes	complemented
124	#5591	C₂²	1	8	yes	complemented
125	#5591	C₂²	1	8	yes	complemented
126	#5591	C₂²	1	8	yes	complemented
127	#5591	C₂²	1	8	yes	complemented
128	#5591	C₂²	1	8	yes	complemented
129	#5590	C₂²	1	8	yes	complemented
130	#5590	C₂²	1	4	yes	complemented
131	#5589	C₂²	1	8	yes	complemented
132	#5589	C₂²	1	8	yes	complemented
133	D₃×#120	C₂²	1	8	yes	complemented
134	#5584	C₂²	1	2	yes	complemented
135	#5580	C₂²	1	2	yes	complemented
136	Q₈×D₁₂	C₂²	1	2	yes	complemented
137	C₄×#239	C₂²	1	2	yes	complemented
138	#5563	C₂²	1	4	yes	complemented
139	#5561	C₂²	1	4	yes	complemented
140	#5557	C₂²	1	4	yes	complemented
141	#5555	C₂²	1	2	yes	complemented
142	#5554	C₂²	1	4	yes	complemented
143	#5554	C₂²	1	4	yes	complemented
144	#5551	C₂²	1	2	yes	complemented
145	#5551	C₂²	1	4	yes	complemented
146	#5550	C₂²	1	4	yes	complemented
147	#5548	C₂²	1	2	yes	complemented
148	#5547	C₂²	1	4	yes	complemented
149	#5545	C₂²	1	4	yes	complemented
150	C₄×D₃×D₄	C₂²	1	2	yes	complemented
151	C₄×D₃×D₄	C₂²	1	4	yes	complemented
152	C₄×D₃×D₄	C₂²	1	4	yes	complemented
153	#5543	C₂²	1	4	yes	complemented
154	#5534	C₂²	1	4	yes	complemented
155	#5528	C₂²	1	4	yes	complemented
156	#5524	C₂²	1	4	yes	complemented
157	#5523	C₂²	1	4	yes	complemented
158	#5490	C₂²	1	8	yes	complemented
159	C₂×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
160	#5483	C₂²	1	4	yes	complemented
161	C₄×#235	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄×D₁₂	C₂²	1	2	yes	complemented
163	#5470	C₂²	1	1	yes	characteristic, complemented
164	#3558	—	3	4	no	—
165	#3546	—	3	2	no	—
166	#3543	D₃	1	1	yes	characteristic, complemented
167	#3542	—	3	4	no	—
168	#3536	—	3	4	no	—
169	#3534	—	3	8	no	—
170	#3532	—	3	4	no	—
171	#3520	—	3	2	no	—
172	#3519	—	3	4	no	—
173	#3514	—	3	2	no	—
174	#3513	—	3	4	no	—
175	#3508	—	3	1	no	—
176	#3496	—	3	2	no	—
177	#3490	—	3	4	no	—
178	#3488	—	3	4	no	—
179	#3484	—	3	4	no	—
180	#3481	—	3	2	no	—
181	D₄×#41	—	3	2	no	—
182	C₂×#546	—	3	4	no	—
183	C₂×D₄²	—	3	1	no	—
184	C₂⁴×D₃	C₂³	1	4	yes	—
185	C₂×C₃×#41	C₂³	1	4	yes	complemented
186	C₂²×C₃×D₄	C₂³	1	4	yes	—
187	C₂²×C₃×D₄	C₂³	1	2	yes	—
188	C₂²×C₃×D₄	C₂³	1	4	yes	—
189	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
190	C₂²×#67	C₂³	1	8	yes	—
191	C₂²×#67	C₂³	1	8	yes	complemented
192	C₂²×#67	C₂³	1	8	yes	complemented
193	D₃×#41	—	4	16	no	—
194	C₂×#239	C₂³	1	2	yes	—
195	C₂×D₃×Q₈	C₂³	1	4	yes	complemented
196	#1004	—	4	16	no	—
197	C₂×#237	C₂³	1	4	yes	complemented
198	C₂×#237	C₂³	1	4	yes	complemented
199	C₂×#237	C₂³	1	8	yes	complemented
200	C₂×#237	C₂³	1	4	yes	complemented
201	C₂×#237	C₂³	1	8	yes	complemented
202	C₂×D₃×D₄	—	4	16	no	—
203	C₂×D₃×D₄	C₂³	1	4	yes	—
204	C₂×D₃×D₄	C₂³	1	2	yes	—
205	C₂×D₃×D₄	C₂³	1	4	yes	—
206	C₂×D₃×D₄	C₂³	1	8	yes	—
207	C₂×D₃×D₄	C₂³	1	8	yes	—
208	C₂×D₃×D₄	C₂³	1	4	yes	—
209	C₂×D₃×D₄	C₂³	1	4	yes	—
210	C₂×D₃×D₄	C₂³	1	4	yes	—
211	C₂×D₃×D₄	C₂³	1	8	yes	complemented
212	C₂×D₃×D₄	C₂³	1	8	yes	complemented
213	C₂×#235	C₂³	1	4	yes	—
214	C₂×#235	C₂³	1	1	yes	characteristic
215	C₂×#235	C₂³	1	8	yes	complemented
216	C₂×#235	C₂³	1	4	yes	complemented
217	C₂²×D₁₂	C₂³	1	2	yes	—
218	C₂²×C₄×D₃	C₂³	1	4	yes	—
219	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
220	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
221	C₃×#127	C₂³	1	1	yes	characteristic
222	C₃×#127	C₂³	1	2	yes	—
223	C₃×#127	C₂³	1	4	yes	—
224	C₃×#127	C₂³	1	1	yes	characteristic
225	C₃×#127	C₂³	1	4	yes	complemented
226	C₃×#126	C₂³	1	4	yes	complemented
227	C₃×#125	C₂³	1	2	yes	complemented
228	C₃×#124	C₂³	1	4	yes	complemented
229	C₃×#124	C₂³	1	2	yes	complemented
230	C₃×#123	C₂³	1	4	yes	—
231	C₃×#123	C₂³	1	4	yes	complemented
232	C₃×#123	C₂³	1	8	yes	complemented
233	C₃×#123	C₂³	1	4	yes	complemented
234	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
235	C₃×#121	C₂³	1	2	yes	—
236	C₃×#121	C₂³	1	8	yes	complemented
237	C₃×#121	C₂³	1	8	yes	complemented
238	C₃×#121	C₂³	1	8	yes	complemented
239	C₃×#121	C₂³	1	4	yes	complemented
240	C₃×#121	C₂³	1	8	yes	complemented
241	C₃×#121	C₂³	1	4	yes	complemented
242	C₃×#120	C₂³	1	8	yes	—
243	C₃×#120	C₂³	1	4	yes	complemented
244	C₃×#120	C₂³	1	8	yes	complemented
245	C₃×#120	C₂³	1	4	yes	complemented
246	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
247	C₃×C₄×D₄	C₂³	1	4	yes	—
248	C₃×C₄×D₄	C₂³	1	4	yes	complemented
249	C₃×C₄×D₄	C₂³	1	2	yes	complemented
250	C₃×C₄×D₄	C₂³	1	4	yes	complemented
251	C₃×#117	C₂³	1	4	yes	complemented
252	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
253	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
254	#953	C₂³	1	8	yes	—
255	#953	C₂³	1	8	yes	complemented
256	C₂×#217	C₂³	1	4	yes	—
257	C₂×#217	C₂³	1	4	yes	—
258	C₂×#217	C₂³	1	4	yes	—
259	C₂×#217	C₂³	1	8	yes	complemented
260	#947	C₂³	1	2	yes	—
261	#946	C₂³	1	2	yes	complemented
262	#946	C₂³	1	4	yes	complemented
263	Q₈×Dic₃	C₂³	1	2	yes	complemented
264	#940	C₂³	1	2	yes	—
265	#940	C₂³	1	4	yes	complemented
266	#940	C₂³	1	8	yes	complemented
267	#939	C₂³	1	4	yes	—
268	#939	C₂³	1	8	yes	complemented
269	#939	C₂³	1	8	yes	complemented
270	#939	C₂³	1	8	yes	complemented
271	#939	C₂³	1	8	yes	complemented
272	#939	C₂³	1	8	yes	complemented
273	#939	C₂³	1	8	yes	complemented
274	#939	C₂³	1	8	yes	complemented
275	#939	C₂³	1	8	yes	complemented
276	#938	C₂³	1	8	yes	—
277	#938	C₂³	1	8	yes	—
278	#938	C₂³	1	4	yes	—
279	#938	C₂³	1	4	yes	—
280	#938	C₂³	1	4	yes	—
281	#938	C₂³	1	4	yes	—
282	#938	C₂³	1	4	yes	complemented
283	#938	C₂³	1	4	yes	complemented
284	#938	C₂³	1	2	yes	complemented
285	#938	C₂³	1	4	yes	complemented
286	#938	C₂³	1	4	yes	complemented
287	#938	C₂³	1	4	yes	complemented
288	#938	C₂³	1	8	yes	complemented
289	#938	C₂³	1	8	yes	complemented
290	#938	C₂³	1	8	yes	complemented
291	#938	C₂³	1	8	yes	complemented
292	#937	C₂³	1	8	yes	—
293	#937	C₂³	1	8	yes	—
294	#937	C₂³	1	4	yes	—
295	#937	C₂³	1	8	yes	—
296	#937	C₂³	1	4	yes	—
297	#937	C₂³	1	4	yes	—
298	#937	C₂³	1	4	yes	—
299	#937	C₂³	1	4	yes	—
300	#937	C₂³	1	8	yes	complemented
301	#937	C₂³	1	8	yes	complemented
302	#937	C₂³	1	8	yes	complemented
303	#937	C₂³	1	8	yes	complemented
304	#937	C₂³	1	8	yes	complemented
305	#936	C₂³	1	4	yes	complemented
306	#936	C₂³	1	4	yes	complemented
307	#936	C₂³	1	4	yes	complemented
308	#936	C₂³	1	8	yes	complemented
309	#935	C₂³	1	8	yes	complemented
310	#935	C₂³	1	8	yes	complemented
311	#935	C₂³	1	8	yes	complemented
312	D₄×Dic₃	C₂³	1	4	yes	—
313	D₄×Dic₃	C₂³	1	8	yes	—
314	D₄×Dic₃	C₂³	1	4	yes	complemented
315	D₄×Dic₃	C₂³	1	8	yes	complemented
316	D₄×Dic₃	C₂³	1	2	yes	complemented
317	D₄×Dic₃	C₂³	1	4	yes	complemented
318	D₄×Dic₃	C₂³	1	4	yes	complemented
319	D₄×Dic₃	C₂³	1	4	yes	complemented
320	D₄×Dic₃	C₂³	1	8	yes	complemented
321	D₄×Dic₃	C₂³	1	8	yes	complemented
322	#930	C₂³	1	4	yes	—
323	#930	C₂³	1	8	yes	complemented
324	#930	C₂³	1	8	yes	complemented
325	#929	C₂³	1	8	yes	complemented
326	C₄×#67	C₂³	1	2	yes	—
327	C₄×#67	C₂³	1	2	yes	—
328	C₄×#67	C₂³	1	8	yes	complemented
329	C₄×#67	C₂³	1	8	yes	complemented
330	C₄×#67	C₂³	1	4	yes	complemented
331	C₄×#67	C₂³	1	4	yes	complemented
332	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
333	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
334	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
335	#926	C₂³	1	2	yes	—
336	#926	C₂³	1	1	yes	characteristic
337	#926	C₂³	1	8	yes	complemented
338	C₂×C₄⋊Dic₃	C₂³	1	2	yes	—
339	C₂×C₄⋊Dic₃	C₂³	1	4	yes	complemented
340	#924	C₂³	1	4	yes	—
341	#924	C₂³	1	8	yes	complemented
342	#924	C₂³	1	8	yes	complemented
343	#924	C₂³	1	4	yes	complemented
344	#898	C₂³	1	8	yes	complemented
345	#898	C₂³	1	4	yes	complemented
346	#898	C₂³	1	4	yes	complemented
347	#898	C₂³	1	8	yes	complemented
348	#897	C₂³	1	4	yes	complemented
349	#897	C₂³	1	8	yes	complemented
350	#897	C₂³	1	4	yes	complemented
351	#897	C₂³	1	4	yes	complemented
352	#897	C₂³	1	4	yes	complemented
353	#896	C₂³	1	4	yes	complemented
354	#896	C₂³	1	8	yes	complemented
355	#896	C₂³	1	4	yes	complemented
356	#895	C₂³	1	4	yes	—
357	#895	C₂³	1	2	yes	—
358	#895	C₂³	1	2	yes	—
359	#895	C₂³	1	4	yes	complemented
360	#894	C₂³	1	4	yes	—
361	#894	C₂³	1	8	yes	—
362	#894	C₂³	1	4	yes	complemented
363	#894	C₂³	1	4	yes	complemented
364	#893	C₂³	1	2	yes	—
365	#893	C₂³	1	2	yes	—
366	#893	C₂³	1	4	yes	complemented
367	#893	C₂³	1	4	yes	complemented
368	#892	C₂³	1	4	yes	complemented
369	#892	C₂³	1	8	yes	complemented
370	#892	C₂³	1	4	yes	complemented
371	#892	C₂³	1	2	yes	complemented
372	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
373	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
374	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
375	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
376	#890	C₂³	1	8	yes	complemented
377	#890	C₂³	1	2	yes	complemented
378	#889	C₂³	1	4	yes	complemented
379	#888	C₂³	1	2	yes	complemented
380	#886	C₂³	1	8	yes	complemented
381	#886	C₂³	1	8	yes	complemented
382	#886	C₂³	1	4	yes	complemented
383	#886	C₂³	1	8	yes	complemented
384	#886	C₂³	1	4	yes	complemented
385	#885	C₂³	1	8	yes	complemented
386	#885	C₂³	1	4	yes	complemented
387	#885	C₂³	1	8	yes	complemented
388	#885	C₂³	1	8	yes	complemented
389	#885	C₂³	1	8	yes	complemented
390	#885	C₂³	1	8	yes	complemented
391	#885	C₂³	1	4	yes	complemented
392	#884	C₂³	1	8	yes	—
393	#884	C₂³	1	4	yes	—
394	#884	C₂³	1	8	yes	complemented
395	#884	C₂³	1	4	yes	complemented
396	#884	C₂³	1	8	yes	complemented
397	#884	C₂³	1	4	yes	complemented
398	#883	C₂³	1	8	yes	complemented
399	#883	C₂³	1	8	yes	complemented
400	#883	C₂³	1	8	yes	complemented
401	#883	C₂³	1	4	yes	complemented
402	#883	C₂³	1	8	yes	complemented
403	#883	C₂³	1	8	yes	complemented
404	#883	C₂³	1	4	yes	complemented
405	#883	C₂³	1	8	yes	complemented
406	#882	C₂³	1	4	yes	—
407	#882	C₂³	1	4	yes	—
408	#882	C₂³	1	8	yes	complemented
409	#882	C₂³	1	8	yes	complemented
410	#882	C₂³	1	4	yes	complemented
411	#67⋊C₄	C₂³	1	4	yes	—
412	#67⋊C₄	C₂³	1	8	yes	complemented
413	#67⋊C₄	C₂³	1	8	yes	complemented
414	#67⋊C₄	C₂³	1	8	yes	complemented
415	#67⋊C₄	C₂³	1	4	yes	complemented
416	#67⋊C₄	C₂³	1	4	yes	complemented
417	#67⋊C₄	C₂³	1	8	yes	complemented
418	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
419	D₃×C₂²⋊C₄	C₂³	1	8	yes	—
420	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
421	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
422	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
423	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
424	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
425	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
426	#879	C₂³	1	8	yes	complemented
427	#879	C₂³	1	8	yes	complemented
428	#879	C₂³	1	4	yes	complemented
429	#878	C₂³	1	4	yes	—
430	#878	C₂³	1	8	yes	—
431	#878	C₂³	1	8	yes	complemented
432	#878	C₂³	1	8	yes	complemented
433	#878	C₂³	1	8	yes	complemented
434	#875	C₂³	1	4	yes	—
435	C₄×D₁₂	C₂³	1	2	yes	—
436	C₄×D₁₂	C₂³	1	4	yes	—
437	C₄×D₁₂	C₂³	1	4	yes	—
438	C₄×D₁₂	C₂³	1	2	yes	—
439	C₄×D₁₂	C₂³	1	4	yes	—
440	C₄×D₁₂	C₂³	1	2	yes	—
441	C₄×D₁₂	C₂³	1	2	yes	—
442	C₄×D₁₂	C₂³	1	2	yes	complemented
443	C₄×D₁₂	C₂³	1	4	yes	complemented
444	C₄×D₁₂	C₂³	1	4	yes	complemented
445	#872	C₂³	1	4	yes	complemented
446	#872	C₂³	1	2	yes	complemented
447	C₄²×D₃	C₂³	1	4	yes	complemented
448	C₄²×D₃	C₂³	1	2	yes	complemented
449	#870	C₂³	1	2	yes	complemented
450	#869	C₂³	1	4	yes	complemented
451	#869	C₂³	1	2	yes	complemented
452	C₄×Dic₆	C₂³	1	4	yes	complemented
453	C₄×Dic₆	C₂³	1	4	yes	complemented
454	C₄×Dic₆	C₂³	1	2	yes	complemented
455	C₂×H(5,𝔽₂)	—	3	4	no	—
456	C₂²×#41	—	3	4	no	—
457	C₂³×D₄	—	3	4	no	—
458	#562	—	3	8	no	—
459	#562	—	3	8	no	—
460	H(3,𝔽₄)	—	3	4	no	—
461	#560	—	3	4	no	—
462	#560	—	3	8	no	—
463	#560	C₂×D₃	1	4	yes	complemented
464	#559	—	3	4	no	—
465	#559	—	3	2	no	—
466	#559	C₂×D₃	1	1	yes	characteristic, complemented
467	#556	—	3	2	no	—
468	#555	—	3	4	no	—
469	#554	—	3	2	no	—
470	#554	—	3	2	no	—
471	#554	—	3	4	no	—
472	#553	—	3	4	no	—
473	#553	—	3	2	no	—
474	#553	—	3	2	no	—
475	#553	—	3	8	no	—
476	#553	—	3	4	no	—
477	#552	—	3	4	no	—
478	#551	—	3	4	no	—
479	#551	—	3	4	no	—
480	#551	—	3	8	no	—
481	#551	—	3	8	no	—
482	#551	—	3	8	no	—
483	#551	—	3	4	no	—
484	#550	—	3	4	no	—
485	#550	—	3	4	no	—
486	#550	C₂×D₃	1	2	yes	complemented
487	D₄×Q₈	—	3	2	no	—
488	#548	—	3	4	no	—
489	#548	—	3	4	no	—
490	#548	—	3	4	no	—
491	#547	—	3	4	no	—
492	#547	—	3	2	no	—
493	#547	—	3	4	no	—
494	#547	—	3	2	no	—
495	#546	—	3	4	no	—
496	#546	—	3	4	no	—
497	#546	—	3	4	no	—
498	#546	—	3	4	no	—
499	#546	—	3	4	no	—
500	#546	—	3	2	no	—
501	#546	—	3	4	no	—
502	#546	—	3	8	no	—
503	#546	—	3	2	no	—
504	#546	—	3	4	no	—
505	#546	—	3	8	no	—
506	#546	—	3	4	no	—
507	#546	—	3	8	no	—
508	#546	—	3	8	no	—
509	#546	—	3	8	no	—
510	#546	—	3	8	no	—
511	#546	—	3	8	no	—
512	#546	—	3	8	no	—
513	#546	—	3	8	no	—
514	#546	—	3	4	no	—
515	#546	—	3	4	no	—
516	#546	—	3	4	no	—
517	#546	—	3	8	no	—
518	#546	C₂×D₃	1	4	yes	complemented
519	D₄²	—	3	8	no	—
520	D₄²	—	3	4	no	—
521	D₄²	—	3	1	no	—
522	D₄²	—	3	4	no	—
523	D₄²	—	3	2	no	—
524	D₄²	—	3	4	no	—
525	D₄²	—	3	4	no	—
526	D₄²	—	3	1	no	—
527	D₄²	—	3	4	no	—
528	D₄²	—	3	2	no	—
529	D₄²	—	3	8	no	—
530	D₄²	—	3	4	no	—
531	D₄²	C₂×D₃	1	4	yes	complemented
532	D₄²	C₂×D₃	1	1	yes	characteristic, complemented
533	#543	—	3	4	no	—
534	#542	—	3	4	no	—
535	#542	—	3	4	no	—
536	#542	—	3	4	no	—
537	#540	—	3	4	no	—
538	#540	—	3	8	no	—
539	#540	C₂×D₃	1	4	yes	complemented
540	#539	—	3	8	no	—
541	#539	—	3	8	no	—
542	#538	—	3	8	no	—
543	#538	—	3	8	no	—
544	#538	—	3	8	no	—
545	#538	—	3	8	no	—
546	#538	—	3	8	no	—
547	#538	—	3	8	no	—
548	#537	—	3	4	no	—
549	#537	—	3	8	no	—
550	#537	—	3	4	no	—
551	#535	—	3	2	no	—
552	#535	—	3	4	no	—
553	#535	—	3	4	no	—
554	#535	—	3	8	no	—
555	#535	C₂×D₃	1	4	yes	complemented
556	#534	—	3	8	no	—
557	#534	—	3	8	no	—
558	#534	—	3	8	no	—
559	#534	C₂×D₃	1	4	yes	complemented
560	#533	—	3	1	no	—
561	#532	—	3	2	no	—
562	#532	—	3	2	no	—
563	#532	—	3	4	no	—
564	#532	—	3	2	no	—
565	C₂×#127	C₂×D₃	1	1	yes	characteristic, complemented
566	#529	—	3	2	no	—
567	#529	—	3	4	no	—
568	#529	—	3	4	no	—
569	#529	C₂×D₃	1	2	yes	complemented
570	C₂×#124	—	3	4	no	—
571	#525	—	3	4	no	—
572	#525	—	3	8	no	—
573	#525	—	3	4	no	—
574	#525	—	3	8	no	—
575	#525	—	3	4	no	—
576	#525	—	3	4	no	—
577	C₂×#123	—	3	8	no	—
578	C₂×C₂²⋊Q₈	—	3	4	no	—
579	C₂×#121	—	3	4	no	—
580	C₂×#121	—	3	4	no	—
581	C₂×#121	—	3	8	no	—
582	C₂×#121	—	3	4	no	—
583	C₂×#120	—	3	4	no	—
584	C₂×#120	—	3	4	no	—
585	C₂×#120	—	3	8	no	—
586	#520	—	3	4	no	—
587	#518	—	3	2	no	—
588	#518	—	3	4	no	—
589	#518	—	3	4	no	—
590	C₄×#41	—	3	2	no	—
591	C₄×#41	—	3	1	no	—
592	C₂×C₄×D₄	—	3	4	no	—
593	C₂×C₄×D₄	—	3	4	no	—
594	C₂×C₄×D₄	—	3	2	no	—
595	C₂×C₄×D₄	—	3	2	no	—
596	C₂²×C₂²⋊C₄	—	3	4	no	—
597	C₂⁴×C₃	C₂⁴	1	4	yes	—
598	C₂⁴×C₃	C₂⁴	1	4	yes	—
599	C₂³×D₃	—	4	16	no	—
600	C₂³×D₃	—	4	8	no	—
601	C₂³×D₃	C₂⁴	1	4	yes	—
602	C₂³×D₃	C₂⁴	1	4	yes	—
603	C₂³×D₃	C₂⁴	1	8	yes	—
604	C₂³×D₃	C₂⁴	1	4	yes	—
605	C₂³×D₃	C₂⁴	1	4	yes	—
606	C₃×#41	—	4	8	no	—
607	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
608	C₂×C₃×D₄	—	4	8	no	—
609	C₂×C₃×D₄	—	4	8	no	—
610	C₂×C₃×D₄	—	4	4	no	—
611	C₂×C₃×D₄	—	4	8	no	—
612	C₂×C₃×D₄	C₂⁴	1	4	yes	—
613	C₂×C₃×D₄	C₂⁴	1	4	yes	—
614	C₂×C₃×D₄	C₂⁴	1	4	yes	—
615	C₂×C₃×D₄	C₂⁴	1	2	yes	—
616	C₂×C₃×D₄	C₂⁴	1	4	yes	—
617	C₂×C₃×D₄	C₂⁴	1	2	yes	—
618	C₂×C₃×D₄	C₂⁴	1	2	yes	—
619	C₂×C₃×D₄	C₂⁴	1	8	yes	—
620	C₂×C₃×D₄	C₂⁴	1	8	yes	—
621	C₂×C₃×D₄	C₂⁴	1	8	yes	—
622	C₂×C₃×D₄	C₂⁴	1	8	yes	—
623	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
624	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
625	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
626	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
627	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
628	C₂×#67	—	4	16	no	—
629	C₂×#67	—	4	16	no	—
630	C₂×#67	—	4	16	no	—
631	C₂×#67	C₂⁴	1	2	yes	—
632	C₂×#67	C₂⁴	1	8	yes	—
633	C₂×#67	C₂⁴	1	8	yes	—
634	C₂×#67	C₂⁴	1	4	yes	—
635	C₂×#67	C₂⁴	1	8	yes	—
636	C₂×#67	C₂⁴	1	4	yes	—
637	C₂×#67	C₂⁴	1	4	yes	—
638	C₂×#67	C₂⁴	1	8	yes	—
639	C₂×#67	C₂⁴	1	8	yes	—
640	C₂×#67	C₂⁴	1	4	yes	—
641	C₂×#67	C₂⁴	1	8	yes	—
642	C₂×#67	C₂⁴	1	8	yes	—
643	C₂×#67	C₂⁴	1	8	yes	—
644	C₂²×Dic₃	C₂⁴	1	4	yes	—
645	C₂²×Dic₃	C₂⁴	1	8	yes	—
646	C₂²×Dic₃	C₂⁴	1	8	yes	—
647	C₂²×Dic₃	C₂⁴	1	4	yes	—
648	C₂²×Dic₃	C₂⁴	1	8	yes	—
649	#239	—	2	8	no	—
650	D₃×Q₈	—	4	8	no	—
651	#237	—	4	8	no	—
652	#237	—	4	8	no	—
653	#237	—	4	8	no	—
654	#237	—	4	16	no	—
655	#237	—	4	16	no	—
656	D₃×D₄	—	2	16	no	—
657	D₃×D₄	—	2	16	no	—
658	D₃×D₄	—	2	8	no	—
659	D₃×D₄	—	4	8	no	—
660	D₃×D₄	—	4	8	no	—
661	D₃×D₄	—	4	16	no	—
662	D₃×D₄	—	4	16	no	—
663	D₃×D₄	—	4	16	no	—
664	D₃×D₄	—	4	16	no	—
665	D₃×D₄	—	4	8	no	—
666	#235	—	2	16	no	—
667	#235	—	4	8	no	—
668	#235	—	4	16	no	—
669	#235	—	4	2	no	—
670	C₂×D₁₂	—	2	8	no	—
671	C₂×D₁₂	C₂⁴	1	2	yes	—
672	C₂×D₁₂	C₂⁴	1	4	yes	—
673	C₂×D₁₂	C₂⁴	1	4	yes	—
674	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
675	C₂×D₁₂	C₂⁴	1	4	yes	—
676	C₂×D₁₂	C₂⁴	1	4	yes	—
677	C₂×D₁₂	C₂⁴	1	2	yes	—
678	C₂×C₄×D₃	—	4	8	no	—
679	C₂×C₄×D₃	—	4	8	no	—
680	C₂×C₄×D₃	—	4	16	no	—
681	C₂×C₄×D₃	C₂⁴	1	4	yes	—
682	C₂×C₄×D₃	C₂⁴	1	2	yes	—
683	C₂×C₄×D₃	C₂⁴	1	2	yes	—
684	C₂×C₄×D₃	C₂⁴	1	4	yes	—
685	C₂×C₄×D₃	C₂⁴	1	4	yes	—
686	C₂×C₄×D₃	C₂⁴	1	8	yes	—
687	C₂×C₄×D₃	C₂⁴	1	2	yes	—
688	C₂×C₄×D₃	C₂⁴	1	4	yes	—
689	C₂×C₄×D₃	C₂⁴	1	4	yes	—
690	C₂×C₄×D₃	C₂⁴	1	4	yes	—
691	C₂×C₄×D₃	C₂⁴	1	8	yes	—
692	C₂×C₄×D₃	C₂⁴	1	4	yes	—
693	C₂×C₄×D₃	C₂⁴	1	4	yes	—
694	C₂×Dic₆	C₂⁴	1	4	yes	—
695	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
696	C₂×Dic₆	C₂⁴	1	8	yes	—
697	C₂×Dic₆	C₂⁴	1	4	yes	—
698	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
702	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
709	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₃×C₄²	C₂⁴	1	2	yes	—
714	C₃×C₄²	C₂⁴	1	4	yes	—
715	C₃×C₄²	C₂⁴	1	1	yes	characteristic
716	C₃×C₄²	C₂⁴	1	1	yes	characteristic
717	#217	C₂⁴	1	1	yes	characteristic
718	#217	C₂⁴	1	4	yes	—
719	#217	C₂⁴	1	8	yes	—
720	#217	C₂⁴	1	8	yes	—
721	#217	C₂⁴	1	4	yes	—
722	#217	C₂⁴	1	4	yes	—
723	#217	C₂⁴	1	8	yes	—
724	#217	C₂⁴	1	4	yes	—
725	#217	C₂⁴	1	8	yes	—
726	#217	C₂⁴	1	1	yes	characteristic
727	#217	C₂⁴	1	8	yes	—
728	#217	C₂⁴	1	4	yes	—
729	#217	C₂⁴	1	8	yes	—
730	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
731	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
732	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
733	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
734	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
735	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
736	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
737	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
738	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
739	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
740	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
741	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
742	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
743	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
744	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
745	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
746	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
747	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
748	C₄⋊Dic₃	C₂⁴	1	2	yes	—
749	C₄⋊Dic₃	C₂⁴	1	4	yes	—
750	C₄⋊Dic₃	C₂⁴	1	2	yes	—
751	C₄⋊Dic₃	C₂⁴	1	2	yes	—
752	C₄⋊Dic₃	C₂⁴	1	4	yes	—
753	C₄⋊Dic₃	C₂⁴	1	8	yes	—
754	C₄⋊Dic₃	C₂⁴	1	4	yes	—
755	C₄⋊Dic₃	C₂⁴	1	4	yes	—
756	C₄⋊Dic₃	C₂⁴	1	4	yes	—
757	C₄⋊Dic₃	C₂⁴	1	8	yes	—
758	Dic₃⋊C₄	C₂⁴	1	8	yes	—
759	Dic₃⋊C₄	C₂⁴	1	2	yes	—
760	Dic₃⋊C₄	C₂⁴	1	2	yes	—
761	Dic₃⋊C₄	C₂⁴	1	8	yes	—
762	Dic₃⋊C₄	C₂⁴	1	4	yes	—
763	Dic₃⋊C₄	C₂⁴	1	4	yes	—
764	Dic₃⋊C₄	C₂⁴	1	4	yes	—
765	Dic₃⋊C₄	C₂⁴	1	8	yes	—
766	Dic₃⋊C₄	C₂⁴	1	4	yes	—
767	C₄×Dic₃	C₂⁴	1	4	yes	—
768	C₄×Dic₃	C₂⁴	1	2	yes	—
769	C₄×Dic₃	C₂⁴	1	2	yes	—
770	C₄×Dic₃	C₂⁴	1	8	yes	—
771	C₄×Dic₃	C₂⁴	1	2	yes	—
772	C₄×Dic₃	C₂⁴	1	4	yes	—
773	C₄×Dic₃	C₂⁴	1	4	yes	—
774	C₂⁵	—	3	4	no	—
775	H(5,𝔽₂)	—	12	16	no	—
776	C₂×#41	—	3	2	no	—
777	C₂×#41	—	3	8	no	—
778	C₂×#41	—	3	4	no	—
779	C₂×#41	—	3	4	no	—
780	C₂×#41	—	3	8	no	—
781	C₂×#41	—	3	4	no	—
782	C₂×#41	—	3	4	no	—
783	C₂×#41	—	3	1	no	—
784	C₂×#41	—	3	4	no	—
785	C₂×#41	—	3	8	no	—
786	C₂×#41	—	12	16	no	—
787	C₂×#41	C₂²×D₃	1	4	yes	complemented
788	C₂²×Q₈	—	3	4	no	—
789	C₂²×D₄	—	3	8	no	—
790	C₂²×D₄	—	3	8	no	—
791	C₂²×D₄	—	3	8	no	—
792	C₂²×D₄	—	3	4	no	—
793	C₂²×D₄	—	3	2	no	—
794	C₂²×D₄	—	3	4	no	—
795	C₂²×D₄	—	3	4	no	—
796	C₂²×D₄	—	3	8	no	—
797	C₂²×D₄	—	3	8	no	—
798	C₂²×D₄	—	3	8	no	—
799	C₂²×D₄	—	3	4	no	—
800	C₂²×D₄	—	3	8	no	—
801	C₂²×D₄	—	3	4	no	—
802	C₂²×D₄	—	3	2	no	—
803	C₂²×D₄	—	12	16	no	—
804	C₂²×D₄	C₂²×D₃	1	2	yes	—
805	C₂²×D₄	C₂²×D₃	1	4	yes	—
806	C₂²×D₄	C₂²×D₃	1	4	yes	—
807	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
808	C₂³×C₄	—	3	8	no	—
809	C₂³×C₄	—	3	4	no	—
810	C₂³×C₄	—	3	4	no	—
811	C₄⋊Q₈	—	3	2	no	—
812	C₄⋊Q₈	—	3	2	no	—
813	C₄⋊Q₈	—	3	4	no	—
814	#127	—	3	2	no	—
815	#127	—	3	4	no	—
816	#127	—	3	8	no	—
817	#127	C₂²×D₃	1	1	yes	characteristic
818	#127	C₂²×D₃	1	1	yes	characteristic
819	#127	C₂²×D₃	1	4	yes	—
820	#127	C₂²×D₃	1	2	yes	—
821	#127	C₂²×D₃	1	4	yes	complemented
822	#126	—	3	4	no	—
823	#126	—	3	4	no	—
824	#126	—	3	8	no	—
825	#126	—	3	8	no	—
826	#126	—	3	8	no	—
827	#126	—	3	4	no	—
828	#126	—	3	8	no	—
829	#126	C₂²×D₃	1	4	yes	complemented
830	#125	—	3	2	no	—
831	#125	—	3	4	no	—
832	#125	—	3	8	no	—
833	#125	—	3	2	no	—
834	#125	C₂²×D₃	1	2	yes	complemented
835	#124	—	3	2	no	—
836	#124	—	3	4	no	—
837	#124	—	3	4	no	—
838	#124	—	3	8	no	—
839	#124	—	3	4	no	—
840	#124	—	3	8	no	—
841	#124	—	3	8	no	—
842	#124	—	3	4	no	—
843	#124	—	3	4	no	—
844	#124	—	3	8	no	—
845	#124	—	3	8	no	—
846	#124	—	3	8	no	—
847	#124	—	3	4	no	—
848	#124	C₂²×D₃	1	4	yes	complemented
849	#124	C₂²×D₃	1	2	yes	complemented
850	#123	—	3	8	no	—
851	#123	—	3	8	no	—
852	#123	—	3	8	no	—
853	#123	—	3	8	no	—
854	#123	—	3	4	no	—
855	#123	—	3	8	no	—
856	#123	—	3	4	no	—
857	#123	—	3	4	no	—
858	#123	—	3	8	no	—
859	#123	—	3	8	no	—
860	#123	—	3	8	no	—
861	#123	—	3	4	no	—
862	#123	—	3	8	no	—
863	#123	—	3	4	no	—
864	#123	—	3	8	no	—
865	#123	—	3	8	no	—
866	#123	—	3	4	no	—
867	#123	—	3	8	no	—
868	#123	—	3	4	no	—
869	#123	—	3	8	no	—
870	#123	—	3	8	no	—
871	#123	C₂²×D₃	1	4	yes	—
872	#123	C₂²×D₃	1	8	yes	complemented
873	#123	C₂²×D₃	1	4	yes	complemented
874	#123	C₂²×D₃	1	4	yes	complemented
875	C₂²⋊Q₈	—	3	4	no	—
876	C₂²⋊Q₈	—	3	2	no	—
877	C₂²⋊Q₈	—	3	4	no	—
878	C₂²⋊Q₈	—	3	8	no	—
879	C₂²⋊Q₈	—	3	4	no	—
880	C₂²⋊Q₈	—	3	8	no	—
881	C₂²⋊Q₈	—	3	4	no	—
882	C₂²⋊Q₈	—	3	8	no	—
883	C₂²⋊Q₈	—	3	4	no	—
884	C₂²⋊Q₈	—	3	4	no	—
885	C₂²⋊Q₈	—	3	4	no	—
886	C₂²⋊Q₈	—	3	8	no	—
887	C₂²⋊Q₈	—	3	4	no	—
888	C₂²⋊Q₈	—	3	4	no	—
889	C₂²⋊Q₈	—	3	8	no	—
890	C₂²⋊Q₈	—	3	4	no	—
891	C₂²⋊Q₈	—	3	8	no	—
892	C₂²⋊Q₈	—	3	8	no	—
893	C₂²⋊Q₈	—	3	8	no	—
894	C₂²⋊Q₈	C₂²×D₃	1	2	yes	—
895	#121	—	3	8	no	—
896	#121	—	3	4	no	—
897	#121	—	3	4	no	—
898	#121	—	3	2	no	—
899	#121	—	3	4	no	—
900	#121	—	3	4	no	—
901	#121	—	3	8	no	—
902	#121	—	3	8	no	—
903	#121	—	3	4	no	—
904	#121	—	3	4	no	—
905	#121	—	3	8	no	—
906	#121	—	3	8	no	—
907	#121	—	3	8	no	—
908	#121	—	3	8	no	—
909	#121	—	3	8	no	—
910	#121	—	3	4	no	—
911	#121	—	3	4	no	—
912	#121	—	3	8	no	—
913	#121	—	3	4	no	—
914	#121	—	3	4	no	—
915	#121	—	3	8	no	—
916	#121	—	3	8	no	—
917	#121	—	3	8	no	—
918	#121	—	3	8	no	—
919	#121	—	3	8	no	—
920	#121	—	3	8	no	—
921	#121	—	3	4	no	—
922	#121	—	3	8	no	—
923	#121	—	3	4	no	—
924	#121	—	3	2	no	—
925	#121	—	3	4	no	—
926	#121	—	3	2	no	—
927	#121	—	3	8	no	—
928	#121	—	3	8	no	—
929	#121	—	3	8	no	—
930	#121	—	3	4	no	—
931	#121	—	3	4	no	—
932	#121	—	3	4	no	—
933	#121	C₂²×D₃	1	2	yes	—
934	#121	C₂²×D₃	1	8	yes	complemented
935	#121	C₂²×D₃	1	4	yes	complemented
936	#121	C₂²×D₃	1	8	yes	complemented
937	#121	C₂²×D₃	1	8	yes	complemented
938	#121	C₂²×D₃	1	4	yes	complemented
939	#121	C₂²×D₃	1	8	yes	complemented
940	#120	—	3	8	no	—
941	#120	—	3	8	no	—
942	#120	—	3	4	no	—
943	#120	—	3	8	no	—
944	#120	—	3	4	no	—
945	#120	—	3	4	no	—
946	#120	—	3	8	no	—
947	#120	—	3	8	no	—
948	#120	—	3	8	no	—
949	#120	—	3	8	no	—
950	#120	—	3	8	no	—
951	#120	—	3	8	no	—
952	#120	—	3	4	no	—
953	#120	—	3	4	no	—
954	#120	—	3	8	no	—
955	#120	—	3	4	no	—
956	#120	—	3	8	no	—
957	#120	—	3	8	no	—
958	#120	—	3	4	no	—
959	#120	—	3	4	no	—
960	#120	C₂²×D₃	1	8	yes	—
961	#120	C₂²×D₃	1	4	yes	complemented
962	#120	C₂²×D₃	1	8	yes	complemented
963	#120	C₂²×D₃	1	4	yes	complemented
964	C₄×Q₈	—	3	2	no	—
965	C₄×Q₈	—	3	2	no	—
966	C₄×Q₈	—	3	4	no	—
967	C₄×Q₈	—	3	4	no	—
968	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
969	C₄×D₄	—	3	4	no	—
970	C₄×D₄	—	3	2	no	—
971	C₄×D₄	—	3	4	no	—
972	C₄×D₄	—	3	4	no	—
973	C₄×D₄	—	3	8	no	—
974	C₄×D₄	—	3	8	no	—
975	C₄×D₄	—	3	8	no	—
976	C₄×D₄	—	3	8	no	—
977	C₄×D₄	—	3	4	no	—
978	C₄×D₄	—	3	4	no	—
979	C₄×D₄	—	3	2	no	—
980	C₄×D₄	—	3	4	no	—
981	C₄×D₄	—	3	4	no	—
982	C₄×D₄	—	3	8	no	—
983	C₄×D₄	—	3	2	no	—
984	C₄×D₄	—	3	8	no	—
985	C₄×D₄	—	3	2	no	—
986	C₄×D₄	—	3	4	no	—
987	C₄×D₄	—	3	2	no	—
988	C₄×D₄	—	3	4	no	—
989	C₄×D₄	—	3	8	no	—
990	C₄×D₄	—	3	4	no	—
991	C₄×D₄	—	3	4	no	—
992	C₄×D₄	—	3	4	no	—
993	C₄×D₄	—	3	8	no	—
994	C₄×D₄	—	3	8	no	—
995	C₄×D₄	—	3	8	no	—
996	C₄×D₄	—	3	2	no	—
997	C₄×D₄	—	3	4	no	—
998	C₄×D₄	—	3	2	no	—
999	C₄×D₄	—	3	4	no	—
1000	C₄×D₄	—	3	4	no	—
1001	C₄×D₄	—	3	2	no	—
1002	C₄×D₄	—	3	4	no	—
1003	C₄×D₄	—	3	2	no	—
1004	C₄×D₄	—	3	4	no	—
1005	C₄×D₄	—	3	2	no	—
1006	C₄×D₄	C₂²×D₃	1	4	yes	—
1007	C₄×D₄	C₂²×D₃	1	2	yes	complemented
1008	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1009	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1010	#117	—	3	1	no	—
1011	#117	—	3	8	no	—
1012	#117	—	3	2	no	—
1013	#117	—	3	4	no	—
1014	#117	—	3	2	no	—
1015	#117	—	3	4	no	—
1016	#117	—	3	8	no	—
1017	#117	—	3	2	no	—
1018	#117	—	3	4	no	—
1019	#117	C₂²×D₃	1	4	yes	complemented
1020	C₂×C₄⋊C₄	—	3	2	no	—
1021	C₂×C₄⋊C₄	—	3	4	no	—
1022	C₂×C₄⋊C₄	—	3	4	no	—
1023	C₂×C₄⋊C₄	—	3	4	no	—
1024	C₂×C₄⋊C₄	—	3	2	no	—
1025	C₂×C₄⋊C₄	—	3	8	no	—
1026	C₂×C₂²⋊C₄	—	3	4	no	—
1027	C₂×C₂²⋊C₄	—	3	4	no	—
1028	C₂×C₂²⋊C₄	—	3	4	no	—
1029	C₂×C₂²⋊C₄	—	3	8	no	—
1030	C₂×C₂²⋊C₄	—	3	8	no	—
1031	C₂×C₂²⋊C₄	—	3	4	no	—
1032	C₂×C₂²⋊C₄	—	3	8	no	—
1033	C₂×C₂²⋊C₄	—	3	4	no	—
1034	C₂×C₂²⋊C₄	—	3	8	no	—
1035	C₂×C₂²⋊C₄	—	3	8	no	—
1036	C₂×C₂²⋊C₄	—	3	8	no	—
1037	C₂×C₂²⋊C₄	—	3	8	no	—
1038	C₂×C₂²⋊C₄	—	3	4	no	—
1039	C₂×C₂²⋊C₄	—	3	4	no	—
1040	C₂×C₂²⋊C₄	—	3	8	no	—
1041	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
1042	C₂×C₄²	—	3	4	no	—
1043	C₂×C₄²	—	3	2	no	—
1044	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1045	C₂³×C₃	—	2	8	no	—
1046	C₂³×C₃	—	4	8	no	—
1047	C₂³×C₃	—	4	8	no	—
1048	C₂³×C₃	—	4	4	no	—
1049	C₂³×C₃	C₂⁵	1	4	yes	—
1050	C₂³×C₃	C₂⁵	1	4	yes	—
1051	C₂³×C₃	C₂⁵	1	4	yes	—
1052	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1053	C₂²×D₃	—	2	8	no	—
1054	C₂²×D₃	—	2	16	no	—
1055	C₂²×D₃	—	2	8	no	—
1056	C₂²×D₃	—	2	8	no	—
1057	C₂²×D₃	—	2	16	no	—
1058	C₂²×D₃	—	4	4	no	—
1059	C₂²×D₃	—	4	4	no	—
1060	C₂²×D₃	—	4	4	no	—
1061	C₂²×D₃	—	4	8	no	—
1062	C₂²×D₃	—	4	8	no	—
1063	C₂²×D₃	—	4	4	no	—
1064	C₂²×D₃	—	4	8	no	—
1065	C₂²×D₃	—	4	4	no	—
1066	C₂²×D₃	—	8	32	no	—
1067	C₂²×D₃	C₂⁵	1	4	yes	—
1068	C₂²×D₃	C₂⁵	1	2	yes	—
1069	C₂²×D₃	C₂⁵	1	4	yes	—
1070	C₃×Q₈	—	2	4	no	—
1071	C₃×D₄	—	2	8	no	—
1072	C₃×D₄	—	2	8	no	—
1073	C₃×D₄	—	2	8	no	—
1074	C₃×D₄	—	2	4	no	—
1075	C₃×D₄	—	4	8	no	—
1076	C₃×D₄	—	4	8	no	—
1077	C₃×D₄	—	4	8	no	—
1078	C₃×D₄	—	4	4	no	—
1079	C₃×D₄	—	4	2	no	—
1080	C₃×D₄	—	4	2	no	—
1081	C₃×D₄	—	4	8	no	—
1082	C₂×C₃×C₄	—	2	2	no	—
1083	C₂×C₃×C₄	—	2	4	no	—
1084	C₂×C₃×C₄	—	2	8	no	—
1085	C₂×C₃×C₄	—	4	8	no	—
1086	C₂×C₃×C₄	—	4	4	no	—
1087	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1088	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1089	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1090	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1091	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1092	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1093	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1094	#67	—	2	4	no	—
1095	#67	—	2	16	no	—
1096	#67	—	2	16	no	—
1097	#67	—	2	16	no	—
1098	#67	—	2	8	no	—
1099	#67	—	4	8	no	—
1100	#67	—	4	4	no	—
1101	#67	—	4	4	no	—
1102	#67	—	4	8	no	—
1103	#67	—	4	8	no	—
1104	#67	—	4	8	no	—
1105	#67	—	4	8	no	—
1106	#67	—	4	4	no	—
1107	C₂×Dic₃	—	4	8	no	—
1108	C₂×Dic₃	—	4	4	no	—
1109	C₂×Dic₃	—	4	4	no	—
1110	C₂×Dic₃	—	4	8	no	—
1111	C₂×Dic₃	—	4	8	no	—
1112	C₂×Dic₃	C₂⁵	1	2	yes	—
1113	C₂×Dic₃	C₂⁵	1	2	yes	—
1114	C₂×Dic₃	C₂⁵	1	4	yes	—
1115	C₂×Dic₃	C₂⁵	1	2	yes	—
1116	C₂×Dic₃	C₂⁵	1	8	yes	—
1117	C₂×Dic₃	C₂⁵	1	4	yes	—
1118	D₁₂	—	2	8	no	—
1119	D₁₂	—	2	8	no	—
1120	D₁₂	—	2	4	no	—
1121	D₁₂	—	4	1	no	—
1122	D₁₂	—	4	4	no	—
1123	D₁₂	—	4	4	no	—
1124	D₁₂	H(5,𝔽₂)	1	8	yes	complemented
1125	C₄×D₃	—	2	8	no	—
1126	C₄×D₃	—	2	16	no	—
1127	C₄×D₃	—	2	8	no	—
1128	C₄×D₃	—	2	4	no	—
1129	C₄×D₃	—	2	8	no	—
1130	C₄×D₃	—	2	4	no	—
1131	C₄×D₃	—	4	4	no	—
1132	C₄×D₃	—	4	4	no	—
1133	C₄×D₃	—	4	4	no	—
1134	C₄×D₃	—	4	4	no	—
1135	C₄×D₃	—	4	8	no	—
1136	C₄×D₃	—	4	2	no	—
1137	C₄×D₃	—	4	4	no	—
1138	Dic₆	—	2	8	no	—
1139	Dic₆	—	4	1	no	—
1140	Dic₆	—	4	4	no	—
1141	Dic₆	—	4	8	no	—
1142	C₂⁴	—	3	4	no	—
1143	C₂⁴	—	3	4	no	—
1144	C₂⁴	—	3	8	no	—
1145	C₂⁴	—	3	4	no	—
1146	C₂⁴	—	3	4	no	—
1147	C₂⁴	—	12	8	no	—
1148	C₂⁴	—	12	16	no	—
1149	C₂⁴	C₂³×D₃	1	4	yes	—
1150	C₂⁴	C₂³×D₃	1	4	yes	—
1151	#41	—	4	8	no	—
1152	#41	—	6	16	no	—
1153	#41	—	6	8	no	—
1154	#41	—	12	8	no	—
1155	#41	—	12	2	no	—
1156	#41	—	12	16	no	—
1157	#41	—	12	8	no	—
1158	#41	—	12	8	no	—
1159	#41	—	12	8	no	—
1160	#41	—	12	16	no	—
1161	#41	—	12	16	no	—
1162	C₂×Q₈	—	3	4	no	—
1163	C₂×Q₈	—	3	1	no	—
1164	C₂×Q₈	—	3	4	no	—
1165	C₂×Q₈	—	3	8	no	—
1166	C₂×Q₈	—	12	8	no	—
1167	C₂×Q₈	C₂³×D₃	1	2	yes	—
1168	C₂×D₄	—	3	2	no	—
1169	C₂×D₄	—	3	8	no	—
1170	C₂×D₄	—	3	4	no	—
1171	C₂×D₄	—	3	8	no	—
1172	C₂×D₄	—	3	8	no	—
1173	C₂×D₄	—	3	4	no	—
1174	C₂×D₄	—	3	8	no	—
1175	C₂×D₄	—	3	4	no	—
1176	C₂×D₄	—	3	8	no	—
1177	C₂×D₄	—	3	8	no	—
1178	C₂×D₄	—	3	8	no	—
1179	C₂×D₄	—	3	8	no	—
1180	C₂×D₄	—	3	4	no	—
1181	C₂×D₄	—	3	2	no	—
1182	C₂×D₄	—	3	4	no	—
1183	C₂×D₄	—	3	4	no	—
1184	C₂×D₄	—	3	2	no	—
1185	C₂×D₄	—	3	4	no	—
1186	C₂×D₄	—	3	1	no	—
1187	C₂×D₄	—	3	4	no	—
1188	C₂×D₄	—	4	8	no	—
1189	C₂×D₄	—	4	8	no	—
1190	C₂×D₄	—	4	4	no	—
1191	C₂×D₄	—	4	8	no	—
1192	C₂×D₄	—	6	8	no	—
1193	C₂×D₄	—	6	16	no	—
1194	C₂×D₄	—	6	16	no	—
1195	C₂×D₄	—	6	8	no	—
1196	C₂×D₄	—	12	8	no	—
1197	C₂×D₄	—	12	8	no	—
1198	C₂×D₄	—	12	16	no	—
1199	C₂×D₄	—	12	8	no	—
1200	C₂×D₄	—	12	16	no	—
1201	C₂×D₄	—	12	16	no	—
1202	C₂×D₄	—	12	16	no	—
1203	C₂×D₄	—	12	16	no	—
1204	C₂×D₄	—	12	16	no	—
1205	C₂×D₄	—	12	16	no	—
1206	C₂×D₄	C₂³×D₃	1	4	yes	—
1207	C₂×D₄	C₂³×D₃	1	2	yes	—
1208	C₂×D₄	C₂³×D₃	1	4	yes	—
1209	C₂×D₄	C₂³×D₃	1	4	yes	—
1210	C₂×D₄	C₂³×D₃	1	2	yes	—
1211	C₂×D₄	C₂³×D₃	1	4	yes	—
1212	C₂×D₄	C₂³×D₃	1	2	yes	—
1213	C₂×D₄	C₂³×D₃	1	8	yes	—
1214	C₂×D₄	C₂³×D₃	1	8	yes	—
1215	C₂×D₄	C₂³×D₃	1	8	yes	—
1216	C₂×D₄	C₂³×D₃	1	8	yes	—
1217	C₂²×C₄	—	3	4	no	—
1218	C₂²×C₄	—	3	8	no	—
1219	C₂²×C₄	—	3	4	no	—
1220	C₂²×C₄	—	3	8	no	—
1221	C₂²×C₄	—	3	8	no	—
1222	C₂²×C₄	—	3	4	no	—
1223	C₂²×C₄	—	3	4	no	—
1224	C₂²×C₄	—	3	2	no	—
1225	C₂²×C₄	—	3	2	no	—
1226	C₂²×C₄	—	3	8	no	—
1227	C₂²×C₄	—	3	4	no	—
1228	C₂²×C₄	—	3	4	no	—
1229	C₂²×C₄	—	3	2	no	—
1230	C₂²×C₄	—	3	4	no	—
1231	C₂²×C₄	—	3	8	no	—
1232	C₂²×C₄	—	3	4	no	—
1233	C₂²×C₄	—	3	4	no	—
1234	C₂²×C₄	—	3	4	no	—
1235	C₂²×C₄	—	12	8	no	—
1236	C₂²×C₄	—	12	8	no	—
1237	C₂²×C₄	—	12	16	no	—
1238	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₃	1	2	yes	—
1240	C₂²×C₄	C₂³×D₃	1	4	yes	—
1241	C₂²×C₄	C₂³×D₃	1	4	yes	—
1242	C₂²×C₄	C₂³×D₃	1	8	yes	—
1243	C₄⋊C₄	—	3	2	no	—
1244	C₄⋊C₄	—	3	2	no	—
1245	C₄⋊C₄	—	3	4	no	—
1246	C₄⋊C₄	—	3	2	no	—
1247	C₄⋊C₄	—	3	8	no	—
1248	C₄⋊C₄	—	3	4	no	—
1249	C₄⋊C₄	—	3	4	no	—
1250	C₄⋊C₄	—	3	8	no	—
1251	C₄⋊C₄	—	3	4	no	—
1252	C₄⋊C₄	—	3	4	no	—
1253	C₄⋊C₄	—	3	8	no	—
1254	C₄⋊C₄	—	3	8	no	—
1255	C₄⋊C₄	—	3	2	no	—
1256	C₄⋊C₄	—	3	4	no	—
1257	C₄⋊C₄	—	3	4	no	—
1258	C₄⋊C₄	—	3	8	no	—
1259	C₄⋊C₄	—	3	4	no	—
1260	C₄⋊C₄	—	3	4	no	—
1261	C₄⋊C₄	—	3	2	no	—
1262	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1263	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1264	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1265	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1266	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1267	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1268	C₂²⋊C₄	—	3	1	no	—
1269	C₂²⋊C₄	—	3	4	no	—
1270	C₂²⋊C₄	—	3	1	no	—
1271	C₂²⋊C₄	—	3	8	no	—
1272	C₂²⋊C₄	—	3	4	no	—
1273	C₂²⋊C₄	—	3	8	no	—
1274	C₂²⋊C₄	—	3	8	no	—
1275	C₂²⋊C₄	—	3	4	no	—
1276	C₂²⋊C₄	—	3	4	no	—
1277	C₂²⋊C₄	—	3	8	no	—
1278	C₂²⋊C₄	—	3	8	no	—
1279	C₂²⋊C₄	—	3	8	no	—
1280	C₂²⋊C₄	—	3	4	no	—
1281	C₂²⋊C₄	—	3	4	no	—
1282	C₂²⋊C₄	—	3	4	no	—
1283	C₂²⋊C₄	—	3	4	no	—
1284	C₂²⋊C₄	—	3	8	no	—
1285	C₂²⋊C₄	—	3	8	no	—
1286	C₂²⋊C₄	—	3	4	no	—
1287	C₂²⋊C₄	—	3	8	no	—
1288	C₂²⋊C₄	—	3	4	no	—
1289	C₂²⋊C₄	—	3	2	no	—
1290	C₂²⋊C₄	—	3	4	no	—
1291	C₂²⋊C₄	—	3	8	no	—
1292	C₂²⋊C₄	—	3	4	no	—
1293	C₂²⋊C₄	—	3	4	no	—
1294	C₂²⋊C₄	—	3	4	no	—
1295	C₂²⋊C₄	—	3	4	no	—
1296	C₂²⋊C₄	—	3	4	no	—
1297	C₂²⋊C₄	—	3	2	no	—
1298	C₂²⋊C₄	—	3	4	no	—
1299	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1300	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1301	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1302	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1303	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1304	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1305	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1306	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1307	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1308	C₄²	—	3	2	no	—
1309	C₄²	—	3	4	no	—
1310	C₄²	—	3	2	no	—
1311	C₄²	—	3	2	no	—
1312	C₄²	—	3	4	no	—
1313	C₄²	—	3	8	no	—
1314	C₄²	—	3	4	no	—
1315	C₄²	C₂³×D₃	1	1	yes	characteristic
1316	C₄²	C₂³×D₃	1	4	yes	—
1317	C₄²	C₂³×D₃	1	1	yes	characteristic
1318	C₄²	C₂³×D₃	1	2	yes	—
1319	C₂²×C₃	—	2	2	no	—
1320	C₂²×C₃	—	2	4	no	—
1321	C₂²×C₃	—	2	4	no	—
1322	C₂²×C₃	—	2	8	no	—
1323	C₂²×C₃	—	2	8	no	—
1324	C₂²×C₃	—	2	4	no	—
1325	C₂²×C₃	—	2	4	no	—
1326	C₂²×C₃	—	2	4	no	—
1327	C₂²×C₃	—	8	8	no	—
1328	C₂²×C₃	—	16	4	no	—
1329	C₂²×C₃	#585	1	2	yes	—
1330	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1331	C₂×D₃	—	2	4	no	—
1332	C₂×D₃	—	2	4	no	—
1333	C₂×D₃	—	2	2	no	—
1334	C₂×D₃	—	2	4	no	—
1335	C₂×D₃	—	2	2	no	—
1336	C₂×D₃	—	2	4	no	—
1337	C₂×D₃	—	2	2	no	—
1338	C₂×D₃	—	2	4	no	—
1339	C₂×D₃	—	4	16	no	—
1340	C₂×D₃	—	4	16	no	—
1341	C₂×D₃	—	8	8	no	—
1342	C₂×D₃	—	8	16	no	—
1343	C₂×D₃	—	8	8	no	—
1344	C₂×D₃	C₂×H(5,𝔽₂)	1	8	yes	—
1345	C₃×C₄	—	2	4	no	—
1346	C₃×C₄	—	2	4	no	—
1347	C₃×C₄	—	2	2	no	—
1348	C₃×C₄	—	2	1	no	—
1349	C₃×C₄	—	2	1	no	—
1350	C₃×C₄	—	2	4	no	—
1351	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1352	Dic₃	—	2	8	no	—
1353	Dic₃	—	2	4	no	—
1354	Dic₃	—	2	2	no	—
1355	Dic₃	—	2	4	no	—
1356	Dic₃	—	2	2	no	—
1357	Dic₃	—	2	2	no	—
1358	C₂³	—	2	8	no	—
1359	C₂³	—	3	4	no	—
1360	C₂³	—	3	4	no	—
1361	C₂³	—	3	2	no	—
1362	C₂³	—	4	8	no	—
1363	C₂³	—	4	8	no	—
1364	C₂³	—	4	4	no	—
1365	C₂³	—	6	16	no	—
1366	C₂³	—	6	8	no	—
1367	C₂³	—	6	8	no	—
1368	C₂³	—	6	16	no	—
1369	C₂³	—	6	8	no	—
1370	C₂³	—	12	4	no	—
1371	C₂³	—	12	4	no	—
1372	C₂³	—	12	4	no	—
1373	C₂³	—	12	8	no	—
1374	C₂³	—	12	8	no	—
1375	C₂³	—	12	4	no	—
1376	C₂³	—	12	8	no	—
1377	C₂³	—	12	4	no	—
1378	C₂³	—	24	32	no	—
1379	C₂³	C₂⁴×D₃	1	4	yes	—
1380	C₂³	C₂⁴×D₃	1	4	yes	—
1381	C₂³	C₂⁴×D₃	1	4	yes	—
1382	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1383	Q₈	—	2	4	no	—
1384	Q₈	—	6	8	no	—
1385	Q₈	—	12	8	no	—
1386	Q₈	—	12	4	no	—
1387	Q₈	—	12	1	no	—
1388	D₄	—	2	8	no	—
1389	D₄	—	2	8	no	—
1390	D₄	—	2	4	no	—
1391	D₄	—	2	8	no	—
1392	D₄	—	3	8	no	—
1393	D₄	—	4	8	no	—
1394	D₄	—	4	8	no	—
1395	D₄	—	4	2	no	—
1396	D₄	—	4	2	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	8	no	—
1399	D₄	—	4	8	no	—
1400	D₄	—	6	8	no	—
1401	D₄	—	6	8	no	—
1402	D₄	—	6	16	no	—
1403	D₄	—	6	16	no	—
1404	D₄	—	6	8	no	—
1405	D₄	—	6	16	no	—
1406	D₄	—	6	4	no	—
1407	D₄	—	6	4	no	—
1408	D₄	—	12	4	no	—
1409	D₄	—	12	4	no	—
1410	D₄	—	12	1	no	—
1411	D₄	—	12	8	no	—
1412	D₄	—	12	8	no	—
1413	D₄	—	12	4	no	—
1414	D₄	—	12	4	no	—
1415	D₄	—	12	8	no	—
1416	D₄	—	12	8	no	—
1417	D₄	—	12	8	no	—
1418	D₄	—	12	4	no	—
1419	C₂×C₄	—	2	2	no	—
1420	C₂×C₄	—	2	4	no	—
1421	C₂×C₄	—	2	8	no	—
1422	C₂×C₄	—	3	2	no	—
1423	C₂×C₄	—	3	2	no	—
1424	C₂×C₄	—	3	2	no	—
1425	C₂×C₄	—	3	4	no	—
1426	C₂×C₄	—	3	8	no	—
1427	C₂×C₄	—	3	4	no	—
1428	C₂×C₄	—	4	8	no	—
1429	C₂×C₄	—	4	4	no	—
1430	C₂×C₄	—	6	8	no	—
1431	C₂×C₄	—	6	16	no	—
1432	C₂×C₄	—	6	8	no	—
1433	C₂×C₄	—	6	4	no	—
1434	C₂×C₄	—	6	8	no	—
1435	C₂×C₄	—	6	4	no	—
1436	C₂×C₄	—	12	4	no	—
1437	C₂×C₄	—	12	4	no	—
1438	C₂×C₄	—	12	4	no	—
1439	C₂×C₄	—	12	8	no	—
1440	C₂×C₄	—	12	4	no	—
1441	C₂×C₄	—	12	4	no	—
1442	C₂×C₄	—	12	2	no	—
1443	C₂×C₄	—	12	4	no	—
1444	C₂×C₄	—	12	4	no	—
1445	C₂×C₄	—	12	8	no	—
1446	C₂×C₄	—	12	8	no	—
1447	C₂×C₄	—	12	8	no	—
1448	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1449	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1450	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1451	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1452	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1453	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1454	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1455	C₂×C₃	—	2	2	no	—
1456	C₂×C₃	—	4	4	no	—
1457	C₂×C₃	—	4	4	no	—
1458	C₂×C₃	—	4	4	no	—
1459	C₂×C₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1460	C₂×C₃	C₂×#585	1	1	yes	characteristic
1461	D₃	—	2	8	no	—
1462	D₃	—	4	4	no	—
1463	D₃	—	4	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	4	no	—
1466	C₂²	—	2	4	no	—
1467	C₂²	—	2	4	no	—
1468	C₂²	—	2	4	no	—
1469	C₂²	—	2	8	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	2	8	no	—
1472	C₂²	—	3	8	no	—
1473	C₂²	—	6	4	no	—
1474	C₂²	—	6	4	no	—
1475	C₂²	—	6	2	no	—
1476	C₂²	—	6	4	no	—
1477	C₂²	—	6	2	no	—
1478	C₂²	—	6	4	no	—
1479	C₂²	—	6	2	no	—
1480	C₂²	—	6	4	no	—
1481	C₂²	—	8	8	no	—
1482	C₂²	—	12	16	no	—
1483	C₂²	—	12	16	no	—
1484	C₂²	—	16	4	no	—
1485	C₂²	—	24	16	no	—
1486	C₂²	—	24	8	no	—
1487	C₂²	—	24	8	no	—
1488	C₂²	#5966	1	2	yes	—
1489	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1490	C₄	—	2	1	no	—
1491	C₄	—	2	1	no	—
1492	C₄	—	2	4	no	—
1493	C₄	—	2	4	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	4	no	—
1496	C₄	—	6	2	no	—
1497	C₄	—	6	2	no	—
1498	C₄	—	6	4	no	—
1499	C₄	—	6	4	no	—
1500	C₄	—	6	2	no	—
1501	C₄	—	6	8	no	—
1502	C₄	D₃×H(5,𝔽₂)	1	4	yes	—
1503	C₃	#63012	1	1	yes	characteristic, complemented, Sylow
1504	C₂	—	2	2	no	—
1505	C₂	—	4	4	no	—
1506	C₂	—	4	4	no	—
1507	C₂	—	4	4	no	—
1508	C₂	—	6	8	no	—
1509	C₂	—	12	4	no	—
1510	C₂	—	12	2	no	—
1511	C₂	C₂×#5966	1	1	yes	characteristic
1512	C₂	C₂×D₃×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3543	C₂
hypercenter	#3543	D₃
hypocenter	C₃	#63012
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3543

Complements

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

N	H ≅ G/N	type
1. C₃×#3543	C₂	semidirect
2. #87082	C₂	semidirect
3. #87054	C₂	semidirect
4. #86788	C₂	semidirect
5. #86766	C₂	semidirect
6. #86670	C₂	semidirect
7. D₃×#546	C₂	semidirect
8. #86621	C₂	semidirect
9. #86620	C₂	semidirect
10. #86612	C₂	semidirect
11. #86492	C₂	semidirect
12. #86487	C₂	semidirect
13. #86337	C₂	semidirect
14. #86331	C₂	semidirect
15. #86310	C₂	semidirect
16. #86309	C₂	semidirect
17. C₂×#5717	C₂	semidirect
18. #86190	C₂	semidirect
19. #86167	C₂	semidirect
20. #86153	C₂	semidirect
22. C₂×D₃×#41	C₂²	semidirect
23. C₂×#1004	C₂²	semidirect
24. C₂²×D₃×D₄	C₂²	semidirect
25. C₃×#560	C₂²	semidirect
26. C₃×#559	C₂²	semidirect
27. C₃×#550	C₂²	semidirect
28. C₃×#546	C₂²	semidirect
29. C₃×D₄²	C₂²	semidirect
30. C₃×D₄²	C₂²	semidirect
31. C₃×#540	C₂²	semidirect
32. C₃×#535	C₂²	semidirect
33. C₃×#534	C₂²	semidirect
34. C₂×C₃×#127	C₂²	semidirect
35. C₃×#529	C₂²	semidirect
36. #5833	C₂²	semidirect
37. #5831	C₂²	semidirect
38. #5829	C₂²	semidirect
39. #5806	C₂²	semidirect
40. #5806	C₂²	semidirect
41. #5806	C₂²	semidirect
42. #5805	C₂²	semidirect
43. D₄×#67	C₂²	semidirect
44. D₄×#67	C₂²	semidirect
45. C₂×#938	C₂²	semidirect
46. C₂×#938	C₂²	semidirect
47. C₂×#937	C₂²	semidirect
48. C₂×#937	C₂²	semidirect
49. #5798	C₂²	semidirect
50. #5798	C₂²	semidirect
51. #5719	C₂²	semidirect
52. #5718	C₂²	semidirect
53. #5718	C₂²	semidirect
54. #5717	C₂²	semidirect
55. #5717	C₂²	semidirect
56. #5717	C₂²	semidirect
57. #5717	C₂²	semidirect
58. #5717	C₂²	semidirect
59. #5717	C₂²	semidirect
60. #5717	C₂²	semidirect
61. #5716	C₂²	semidirect
62. #5716	C₂²	semidirect
63. #5716	C₂²	semidirect
64. #5715	C₂²	semidirect
65. #5713	C₂²	semidirect
66. #5709	C₂²	semidirect
67. #5707	C₂²	semidirect
68. #5705	C₂²	semidirect
69. #5695	C₂²	semidirect
70. #5694	C₂²	semidirect
71. #5690	C₂²	semidirect
72. #5682	C₂²	semidirect
73. #5681	C₂²	semidirect
74. #5677	C₂²	semidirect
75. #5677	C₂²	semidirect
76. #5676	C₂²	semidirect
77. #5676	C₂²	semidirect
78. D₃×#124	C₂²	semidirect
79. #5667	C₂²	semidirect
80. #5666	C₂²	semidirect
81. #5660	C₂²	semidirect
82. #5659	C₂²	semidirect
83. #5658	C₂²	semidirect
84. #5658	C₂²	semidirect
85. #5658	C₂²	semidirect
86. #5658	C₂²	semidirect
87. #5657	C₂²	semidirect
88. #5654	C₂²	semidirect
89. #5654	C₂²	semidirect
90. D₃×#123	C₂²	semidirect
91. #5635	C₂²	semidirect
92. #5630	C₂²	semidirect
93. D₃×C₂²⋊Q₈	C₂²	semidirect
94. #5621	C₂²	semidirect
95. #5620	C₂²	semidirect
96. #5619	C₂²	semidirect
97. #5618	C₂²	semidirect
98. #5618	C₂²	semidirect
99. #5617	C₂²	semidirect
100. #5617	C₂²	semidirect
101. #5614	C₂²	semidirect
102. #5613	C₂²	semidirect
103. #5612	C₂²	semidirect
104. #5612	C₂²	semidirect
105. #5612	C₂²	semidirect
106. #5611	C₂²	semidirect
107. #5610	C₂²	semidirect
108. #5610	C₂²	semidirect
109. #5609	C₂²	semidirect
110. #5608	C₂²	semidirect
111. #5608	C₂²	semidirect
112. #5607	C₂²	semidirect
113. #5607	C₂²	semidirect
114. #5606	C₂²	semidirect
115. #5606	C₂²	semidirect
116. #5606	C₂²	semidirect
117. #5606	C₂²	semidirect
118. #5605	C₂²	semidirect
119. D₃×#121	C₂²	semidirect
120. D₃×#121	C₂²	semidirect
121. #5594	C₂²	semidirect
122. #5593	C₂²	semidirect
123. #5593	C₂²	semidirect
124. #5591	C₂²	semidirect
125. #5591	C₂²	semidirect
126. #5591	C₂²	semidirect
127. #5591	C₂²	semidirect
128. #5591	C₂²	semidirect
129. #5590	C₂²	semidirect
130. #5590	C₂²	semidirect
131. #5589	C₂²	semidirect
132. #5589	C₂²	semidirect
133. D₃×#120	C₂²	semidirect
134. #5584	C₂²	semidirect
135. #5580	C₂²	semidirect
136. Q₈×D₁₂	C₂²	semidirect
137. C₄×#239	C₂²	semidirect
138. #5563	C₂²	semidirect
139. #5561	C₂²	semidirect
140. #5557	C₂²	semidirect
141. #5555	C₂²	semidirect
142. #5554	C₂²	semidirect
143. #5554	C₂²	semidirect
144. #5551	C₂²	semidirect
145. #5551	C₂²	semidirect
146. #5550	C₂²	semidirect
147. #5548	C₂²	semidirect
148. #5547	C₂²	semidirect
149. #5545	C₂²	semidirect
150. C₄×D₃×D₄	C₂²	semidirect
151. C₄×D₃×D₄	C₂²	semidirect
152. C₄×D₃×D₄	C₂²	semidirect
153. #5543	C₂²	semidirect
154. #5534	C₂²	semidirect
155. #5528	C₂²	semidirect
156. #5524	C₂²	semidirect
157. #5523	C₂²	semidirect
158. #5490	C₂²	semidirect
159. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
160. #5483	C₂²	semidirect
161. C₄×#235	C₂²	semidirect
162. C₂×C₄×D₁₂	C₂²	semidirect
163. #5470	C₂²	semidirect
166. #3543	D₃	semidirect
185. C₂×C₃×#41	C₂³	semidirect
189. C₂²×C₃×D₄	C₂³	semidirect
191. C₂²×#67	C₂³	semidirect
192. C₂²×#67	C₂³	semidirect
195. C₂×D₃×Q₈	C₂³	semidirect
197. C₂×#237	C₂³	semidirect
198. C₂×#237	C₂³	semidirect
199. C₂×#237	C₂³	semidirect
200. C₂×#237	C₂³	semidirect
201. C₂×#237	C₂³	semidirect
211. C₂×D₃×D₄	C₂³	semidirect
212. C₂×D₃×D₄	C₂³	semidirect
215. C₂×#235	C₂³	semidirect
216. C₂×#235	C₂³	semidirect
219. C₂²×C₄×D₃	C₂³	semidirect
220. C₂²×C₄×D₃	C₂³	semidirect
225. C₃×#127	C₂³	semidirect
226. C₃×#126	C₂³	semidirect
227. C₃×#125	C₂³	semidirect
228. C₃×#124	C₂³	semidirect
229. C₃×#124	C₂³	semidirect
231. C₃×#123	C₂³	semidirect
232. C₃×#123	C₂³	semidirect
233. C₃×#123	C₂³	semidirect
236. C₃×#121	C₂³	semidirect
237. C₃×#121	C₂³	semidirect
238. C₃×#121	C₂³	semidirect
239. C₃×#121	C₂³	semidirect
240. C₃×#121	C₂³	semidirect
241. C₃×#121	C₂³	semidirect
243. C₃×#120	C₂³	semidirect
244. C₃×#120	C₂³	semidirect
245. C₃×#120	C₂³	semidirect
246. C₃×C₄×Q₈	C₂³	semidirect
248. C₃×C₄×D₄	C₂³	semidirect
249. C₃×C₄×D₄	C₂³	semidirect
250. C₃×C₄×D₄	C₂³	semidirect
251. C₃×#117	C₂³	semidirect
255. #953	C₂³	semidirect
259. C₂×#217	C₂³	semidirect
261. #946	C₂³	semidirect
262. #946	C₂³	semidirect
263. Q₈×Dic₃	C₂³	semidirect
265. #940	C₂³	semidirect
266. #940	C₂³	semidirect
268. #939	C₂³	semidirect
269. #939	C₂³	semidirect
270. #939	C₂³	semidirect
271. #939	C₂³	semidirect
272. #939	C₂³	semidirect
273. #939	C₂³	semidirect
274. #939	C₂³	semidirect
275. #939	C₂³	semidirect
282. #938	C₂³	semidirect
283. #938	C₂³	semidirect
284. #938	C₂³	semidirect
285. #938	C₂³	semidirect
286. #938	C₂³	semidirect
287. #938	C₂³	semidirect
288. #938	C₂³	semidirect
289. #938	C₂³	semidirect
290. #938	C₂³	semidirect
291. #938	C₂³	semidirect
300. #937	C₂³	semidirect
301. #937	C₂³	semidirect
302. #937	C₂³	semidirect
303. #937	C₂³	semidirect
304. #937	C₂³	semidirect
305. #936	C₂³	semidirect
306. #936	C₂³	semidirect
307. #936	C₂³	semidirect
308. #936	C₂³	semidirect
309. #935	C₂³	semidirect
310. #935	C₂³	semidirect
311. #935	C₂³	semidirect
314. D₄×Dic₃	C₂³	semidirect
315. D₄×Dic₃	C₂³	semidirect
316. D₄×Dic₃	C₂³	semidirect
317. D₄×Dic₃	C₂³	semidirect
318. D₄×Dic₃	C₂³	semidirect
319. D₄×Dic₃	C₂³	semidirect
320. D₄×Dic₃	C₂³	semidirect
321. D₄×Dic₃	C₂³	semidirect
323. #930	C₂³	semidirect
324. #930	C₂³	semidirect
325. #929	C₂³	semidirect
328. C₄×#67	C₂³	semidirect
329. C₄×#67	C₂³	semidirect
330. C₄×#67	C₂³	semidirect
331. C₄×#67	C₂³	semidirect
333. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
334. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
337. #926	C₂³	semidirect
339. C₂×C₄⋊Dic₃	C₂³	semidirect
341. #924	C₂³	semidirect
342. #924	C₂³	semidirect
343. #924	C₂³	semidirect
344. #898	C₂³	semidirect
345. #898	C₂³	semidirect
346. #898	C₂³	semidirect
347. #898	C₂³	semidirect
348. #897	C₂³	semidirect
349. #897	C₂³	semidirect
350. #897	C₂³	semidirect
351. #897	C₂³	semidirect
352. #897	C₂³	semidirect
353. #896	C₂³	semidirect
354. #896	C₂³	semidirect
355. #896	C₂³	semidirect
359. #895	C₂³	semidirect
362. #894	C₂³	semidirect
363. #894	C₂³	semidirect
366. #893	C₂³	semidirect
367. #893	C₂³	semidirect
368. #892	C₂³	semidirect
369. #892	C₂³	semidirect
370. #892	C₂³	semidirect
371. #892	C₂³	semidirect
372. D₃×C₄⋊C₄	C₂³	semidirect
373. D₃×C₄⋊C₄	C₂³	semidirect
374. D₃×C₄⋊C₄	C₂³	semidirect
375. D₃×C₄⋊C₄	C₂³	semidirect
376. #890	C₂³	semidirect
377. #890	C₂³	semidirect
378. #889	C₂³	semidirect
379. #888	C₂³	semidirect
380. #886	C₂³	semidirect
381. #886	C₂³	semidirect
382. #886	C₂³	semidirect
383. #886	C₂³	semidirect
384. #886	C₂³	semidirect
385. #885	C₂³	semidirect
386. #885	C₂³	semidirect
387. #885	C₂³	semidirect
388. #885	C₂³	semidirect
389. #885	C₂³	semidirect
390. #885	C₂³	semidirect
391. #885	C₂³	semidirect
394. #884	C₂³	semidirect
395. #884	C₂³	semidirect
396. #884	C₂³	semidirect
397. #884	C₂³	semidirect
398. #883	C₂³	semidirect
399. #883	C₂³	semidirect
400. #883	C₂³	semidirect
401. #883	C₂³	semidirect
402. #883	C₂³	semidirect
403. #883	C₂³	semidirect
404. #883	C₂³	semidirect
405. #883	C₂³	semidirect
408. #882	C₂³	semidirect
409. #882	C₂³	semidirect
410. #882	C₂³	semidirect
412. #67⋊C₄	C₂³	semidirect
413. #67⋊C₄	C₂³	semidirect
414. #67⋊C₄	C₂³	semidirect
415. #67⋊C₄	C₂³	semidirect
416. #67⋊C₄	C₂³	semidirect
417. #67⋊C₄	C₂³	semidirect
420. D₃×C₂²⋊C₄	C₂³	semidirect
421. D₃×C₂²⋊C₄	C₂³	semidirect
422. D₃×C₂²⋊C₄	C₂³	semidirect
423. D₃×C₂²⋊C₄	C₂³	semidirect
424. D₃×C₂²⋊C₄	C₂³	semidirect
425. D₃×C₂²⋊C₄	C₂³	semidirect
426. #879	C₂³	semidirect
427. #879	C₂³	semidirect
428. #879	C₂³	semidirect
431. #878	C₂³	semidirect
432. #878	C₂³	semidirect
433. #878	C₂³	semidirect
442. C₄×D₁₂	C₂³	semidirect
443. C₄×D₁₂	C₂³	semidirect
444. C₄×D₁₂	C₂³	semidirect
445. #872	C₂³	semidirect
446. #872	C₂³	semidirect
447. C₄²×D₃	C₂³	semidirect
448. C₄²×D₃	C₂³	semidirect
449. #870	C₂³	semidirect
450. #869	C₂³	semidirect
451. #869	C₂³	semidirect
452. C₄×Dic₆	C₂³	semidirect
453. C₄×Dic₆	C₂³	semidirect
454. C₄×Dic₆	C₂³	semidirect
463. #560	C₂×D₃	semidirect
466. #559	C₂×D₃	semidirect
486. #550	C₂×D₃	semidirect
518. #546	C₂×D₃	semidirect
531. D₄²	C₂×D₃	semidirect
532. D₄²	C₂×D₃	semidirect
539. #540	C₂×D₃	semidirect
555. #535	C₂×D₃	semidirect
559. #534	C₂×D₃	semidirect
565. C₂×#127	C₂×D₃	semidirect
569. #529	C₂×D₃	semidirect
787. C₂×#41	C₂²×D₃	semidirect
807. C₂²×D₄	C₂²×D₃	semidirect
821. #127	C₂²×D₃	semidirect
829. #126	C₂²×D₃	semidirect
834. #125	C₂²×D₃	semidirect
848. #124	C₂²×D₃	semidirect
849. #124	C₂²×D₃	semidirect
872. #123	C₂²×D₃	semidirect
873. #123	C₂²×D₃	semidirect
874. #123	C₂²×D₃	semidirect
934. #121	C₂²×D₃	semidirect
935. #121	C₂²×D₃	semidirect
936. #121	C₂²×D₃	semidirect
937. #121	C₂²×D₃	semidirect
938. #121	C₂²×D₃	semidirect
939. #121	C₂²×D₃	semidirect
961. #120	C₂²×D₃	semidirect
962. #120	C₂²×D₃	semidirect
963. #120	C₂²×D₃	semidirect
968. C₄×Q₈	C₂²×D₃	semidirect
1007. C₄×D₄	C₂²×D₃	semidirect
1008. C₄×D₄	C₂²×D₃	semidirect
1009. C₄×D₄	C₂²×D₃	semidirect
1019. #117	C₂²×D₃	semidirect
1124. D₁₂	H(5,𝔽₂)	semidirect
1503. C₃	#63012	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3543	2
#87082	2
#87054	2
#86788	2
#86766	2
#86670	2
D₃×#546	2
#86621	2
#86620	2
#86612	2
#86492	2
#86487	2
#86337	2
#86331	2
#86310	2
#86309	2
C₂×#5717	2
#86190	2
#86167	2
#86153	2
#63012	3