Subgroups — #11707313

Order 768.

8054 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	#87054	C₂	1	2	yes	maximal, complemented
3	#87053	C₂	1	4	yes	maximal, complemented
4	#87050	C₂	1	2	yes	maximal, complemented
5	#86775	C₂	1	4	yes	maximal, complemented
6	#86775	C₂	1	2	yes	maximal, complemented
7	#86766	C₂	1	2	yes	maximal, complemented
8	#86666	C₂	1	4	yes	maximal, complemented
9	#86664	C₂	1	8	yes	maximal, complemented
10	D₃×#546	C₂	1	4	yes	maximal, complemented
11	#86488	C₂	1	4	yes	maximal, complemented
12	#86487	C₂	1	4	yes	maximal, complemented
13	#86332	C₂	1	2	yes	maximal, complemented
14	#86330	C₂	1	2	yes	maximal, complemented
15	#86280	C₂	1	1	yes	maximal, characteristic, complemented
16	#86276	C₂	1	1	yes	maximal, characteristic, complemented
17	#86247	C₂	1	2	yes	maximal, complemented
18	#86246	C₂	1	2	yes	maximal, complemented
19	#86239	C₂	1	2	yes	maximal, complemented
20	#86238	C₂	1	2	yes	maximal, complemented
21	C₂×#5717	C₂	1	1	yes	maximal, characteristic, complemented
22	#86190	C₂	1	1	yes	maximal, characteristic, complemented
23	#85869	C₂	1	2	yes	maximal, complemented
24	D₃×#518	C₂	1	2	yes	maximal, complemented
25	#85840	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#1009	C₂	1	1	yes	maximal, characteristic, complemented
27	#62983	—	3	1	no	maximal, Sylow
28	C₂×#1009	C₂²	1	1	yes	characteristic
29	C₂×D₃×#41	C₂²	1	4	yes	complemented
30	C₂²×D₃×D₄	C₂²	1	2	yes	—
31	C₂²×D₃×D₄	C₂²	1	2	yes	complemented
32	C₃×#559	C₂²	1	2	yes	complemented
33	C₃×#559	C₂²	1	2	yes	complemented
34	C₃×#550	C₂²	1	2	yes	complemented
35	C₃×#550	C₂²	1	2	yes	complemented
36	C₃×#546	C₂²	1	4	yes	complemented
37	C₃×#546	C₂²	1	4	yes	complemented
38	C₃×#540	C₂²	1	4	yes	complemented
39	C₃×#535	C₂²	1	2	yes	complemented
40	C₃×#533	C₂²	1	1	yes	characteristic, complemented
41	C₃×#532	C₂²	1	2	yes	complemented
42	C₃×#532	C₂²	1	2	yes	complemented
43	C₂×C₃×#127	C₂²	1	1	yes	characteristic, complemented
44	C₃×#518	C₂²	1	2	yes	complemented
45	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
46	#5831	C₂²	1	4	yes	complemented
47	#5829	C₂²	1	4	yes	complemented
48	#5829	C₂²	1	8	yes	complemented
49	#5828	C₂²	1	2	yes	complemented
50	#5828	C₂²	1	8	yes	complemented
51	#5828	C₂²	1	4	yes	complemented
52	#5827	C₂²	1	1	yes	characteristic, complemented
53	#5806	C₂²	1	4	yes	complemented
54	#5806	C₂²	1	4	yes	complemented
55	#5805	C₂²	1	2	yes	complemented
56	C₂×#938	C₂²	1	2	yes	complemented
57	C₂×#938	C₂²	1	2	yes	complemented
58	C₂×#937	C₂²	1	4	yes	complemented
59	#5798	C₂²	1	2	yes	complemented
60	#5734	C₂²	1	1	yes	characteristic, complemented
61	#5732	C₂²	1	1	yes	characteristic, complemented
62	#5730	C₂²	1	1	yes	characteristic, complemented
63	#5730	C₂²	1	2	yes	complemented
64	#5727	C₂²	1	2	yes	complemented
65	#5726	C₂²	1	1	yes	characteristic, complemented
66	#5719	C₂²	1	4	yes	complemented
67	#5719	C₂²	1	4	yes	complemented
68	#5718	C₂²	1	2	yes	complemented
69	#5718	C₂²	1	2	yes	complemented
70	#5717	C₂²	1	2	yes	complemented
71	#5717	C₂²	1	4	yes	complemented
72	#5717	C₂²	1	2	yes	complemented
73	#5717	C₂²	1	4	yes	complemented
74	#5717	C₂²	1	2	yes	complemented
75	#5717	C₂²	1	2	yes	complemented
76	#5717	C₂²	1	4	yes	complemented
77	#5717	C₂²	1	4	yes	complemented
78	#5716	C₂²	1	4	yes	complemented
79	#5716	C₂²	1	2	yes	complemented
80	#5716	C₂²	1	2	yes	complemented
81	#5713	C₂²	1	2	yes	complemented
82	#5713	C₂²	1	2	yes	complemented
83	#5695	C₂²	1	2	yes	complemented
84	#5694	C₂²	1	2	yes	complemented
85	#5690	C₂²	1	4	yes	complemented
86	#5682	C₂²	1	4	yes	complemented
87	#5680	C₂²	1	4	yes	complemented
88	#5680	C₂²	1	4	yes	complemented
89	#5679	C₂²	1	8	yes	complemented
90	#5678	C₂²	1	8	yes	complemented
91	#5677	C₂²	1	4	yes	complemented
92	#5676	C₂²	1	4	yes	complemented
93	#5676	C₂²	1	4	yes	complemented
94	#5676	C₂²	1	4	yes	complemented
95	D₃×#124	C₂²	1	4	yes	complemented
96	#5661	C₂²	1	8	yes	complemented
97	#5660	C₂²	1	8	yes	complemented
98	#5659	C₂²	1	8	yes	complemented
99	#5658	C₂²	1	8	yes	complemented
100	#5657	C₂²	1	8	yes	complemented
101	#5656	C₂²	1	8	yes	complemented
102	#5654	C₂²	1	8	yes	complemented
103	D₃×#123	C₂²	1	8	yes	complemented
104	#5642	C₂²	1	2	yes	complemented
105	#5637	C₂²	1	4	yes	complemented
106	#5634	C₂²	1	4	yes	complemented
107	#5630	C₂²	1	2	yes	complemented
108	D₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
109	#5618	C₂²	1	4	yes	complemented
110	#5616	C₂²	1	4	yes	complemented
111	#5614	C₂²	1	4	yes	complemented
112	#5614	C₂²	1	8	yes	complemented
113	#5614	C₂²	1	4	yes	complemented
114	#5613	C₂²	1	8	yes	complemented
115	#5613	C₂²	1	8	yes	complemented
116	#5613	C₂²	1	8	yes	complemented
117	#5612	C₂²	1	4	yes	complemented
118	#5612	C₂²	1	4	yes	complemented
119	#5612	C₂²	1	4	yes	complemented
120	#5612	C₂²	1	8	yes	complemented
121	#5611	C₂²	1	4	yes	complemented
122	#5610	C₂²	1	8	yes	complemented
123	#5610	C₂²	1	8	yes	complemented
124	#5610	C₂²	1	8	yes	complemented
125	#5609	C₂²	1	4	yes	complemented
126	#5609	C₂²	1	4	yes	complemented
127	#5606	C₂²	1	8	yes	complemented
128	#5606	C₂²	1	4	yes	complemented
129	D₃×#121	C₂²	1	8	yes	complemented
130	D₃×#121	C₂²	1	4	yes	complemented
131	#5591	C₂²	1	8	yes	complemented
132	#5589	C₂²	1	8	yes	complemented
133	D₃×#120	C₂²	1	8	yes	complemented
134	#5587	C₂²	1	8	yes	complemented
135	#5584	C₂²	1	1	yes	characteristic, complemented
136	#5581	C₂²	1	2	yes	complemented
137	#5580	C₂²	1	4	yes	complemented
138	#5580	C₂²	1	2	yes	complemented
139	#5579	C₂²	1	2	yes	complemented
140	#5579	C₂²	1	4	yes	complemented
141	#5579	C₂²	1	1	yes	characteristic, complemented
142	Q₈×D₁₂	C₂²	1	2	yes	complemented
143	#5574	C₂²	1	2	yes	complemented
144	C₄×#239	C₂²	1	2	yes	complemented
145	C₄×#239	C₂²	1	2	yes	complemented
146	#5563	C₂²	1	1	yes	characteristic, complemented
147	#5563	C₂²	1	4	yes	complemented
148	#5562	C₂²	1	4	yes	complemented
149	#5561	C₂²	1	4	yes	complemented
150	#5558	C₂²	1	2	yes	complemented
151	#5558	C₂²	1	4	yes	complemented
152	#5558	C₂²	1	4	yes	complemented
153	#5558	C₂²	1	4	yes	complemented
154	#5557	C₂²	1	4	yes	complemented
155	#5557	C₂²	1	4	yes	complemented
156	#5556	C₂²	1	4	yes	complemented
157	#5556	C₂²	1	8	yes	complemented
158	#5554	C₂²	1	4	yes	complemented
159	#5551	C₂²	1	1	yes	characteristic, complemented
160	#5551	C₂²	1	4	yes	complemented
161	#5550	C₂²	1	2	yes	complemented
162	#5548	C₂²	1	4	yes	complemented
163	#5547	C₂²	1	8	yes	complemented
164	#5545	C₂²	1	4	yes	complemented
165	#5545	C₂²	1	4	yes	complemented
166	#5545	C₂²	1	2	yes	complemented
167	#5545	C₂²	1	4	yes	complemented
168	#5545	C₂²	1	4	yes	complemented
169	#5545	C₂²	1	4	yes	complemented
170	C₄×D₃×D₄	C₂²	1	4	yes	complemented
171	C₄×D₃×D₄	C₂²	1	4	yes	complemented
172	C₄×D₃×D₄	C₂²	1	4	yes	complemented
173	C₄×D₃×D₄	C₂²	1	2	yes	complemented
174	C₄×D₃×D₄	C₂²	1	4	yes	complemented
175	C₄×D₃×D₄	C₂²	1	4	yes	complemented
176	C₄×D₃×D₄	C₂²	1	4	yes	complemented
177	#5541	C₂²	1	2	yes	complemented
178	#5528	C₂²	1	4	yes	complemented
179	#5524	C₂²	1	2	yes	complemented
180	#5523	C₂²	1	2	yes	complemented
181	#5523	C₂²	1	1	yes	characteristic, complemented
182	#5521	C₂²	1	2	yes	—
183	#5521	C₂²	1	1	yes	characteristic
184	#5521	C₂²	1	2	yes	complemented
185	D₃×#117	C₂²	1	2	yes	complemented
186	D₃×#117	C₂²	1	2	yes	complemented
187	#5519	C₂²	1	2	yes	complemented
188	#5495	C₂²	1	8	yes	complemented
189	#5490	C₂²	1	8	yes	complemented
190	#5486	C₂²	1	8	yes	complemented
191	C₂×D₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
192	#5479	C₂²	1	2	yes	complemented
193	C₄×#235	C₂²	1	2	yes	complemented
194	C₄×#235	C₂²	1	2	yes	complemented
195	C₄×#235	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
197	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄×D₁₂	C₂²	1	2	yes	complemented
199	#5470	C₂²	1	1	yes	characteristic, complemented
200	#3519	—	3	4	no	—
201	#3519	—	3	2	no	—
202	#3519	—	3	4	no	—
203	#3519	—	3	2	no	—
204	#3514	—	3	2	no	—
205	#3514	—	3	2	no	—
206	#3513	—	3	4	no	—
207	#3513	—	3	4	no	—
208	#3508	—	3	1	no	—
209	#3508	D₃	1	1	yes	characteristic, complemented
210	#3505	—	3	4	no	—
211	#3501	—	3	1	no	—
212	#3494	—	3	2	no	—
213	#3494	—	3	2	no	—
214	#3490	—	3	8	no	—
215	#3484	—	3	2	no	—
216	#3481	—	3	2	no	—
217	#3481	—	3	2	no	—
218	#3475	—	3	1	no	—
219	#3475	—	3	1	no	—
220	D₄×#41	—	3	2	no	—
221	D₄×#41	—	3	2	no	—
222	C₂×#546	—	3	4	no	—
223	C₂×D₄²	—	3	1	no	—
224	C₄×H(5,𝔽₂)	—	3	1	no	—
225	C₂×#518	—	3	2	no	—
226	C₂⁴×D₃	C₂³	1	4	yes	—
227	C₂×C₃×#41	C₂³	1	1	yes	characteristic
228	C₂×C₃×#41	C₂³	1	4	yes	complemented
229	C₂×C₃×#41	C₂³	1	4	yes	complemented
230	C₂²×C₃×D₄	C₂³	1	2	yes	—
231	C₂²×C₃×D₄	C₂³	1	2	yes	—
232	C₂²×C₃×D₄	C₂³	1	2	yes	—
233	C₂²×#67	C₂³	1	4	yes	—
234	C₂²×#67	C₂³	1	4	yes	—
235	#1009	—	2	8	no	—
236	D₃×#41	—	4	16	no	—
237	C₂×#239	C₂³	1	2	yes	—
238	C₂×#239	C₂³	1	2	yes	—
239	C₂×D₃×Q₈	C₂³	1	4	yes	complemented
240	C₂×#237	C₂³	1	4	yes	complemented
241	C₂×#237	C₂³	1	8	yes	complemented
242	C₂×#237	C₂³	1	4	yes	complemented
243	C₂×D₃×D₄	—	2	16	no	—
244	C₂×D₃×D₄	—	4	8	no	—
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	2	yes	—
251	C₂×D₃×D₄	C₂³	1	4	yes	—
252	C₂×D₃×D₄	C₂³	1	8	yes	—
253	C₂×D₃×D₄	C₂³	1	4	yes	—
254	C₂×D₃×D₄	C₂³	1	8	yes	complemented
255	C₂×D₃×D₄	C₂³	1	8	yes	complemented
256	C₂×#235	C₂³	1	2	yes	—
257	C₂×#235	C₂³	1	1	yes	characteristic
258	C₂×#235	C₂³	1	2	yes	—
259	C₂×#235	C₂³	1	8	yes	complemented
260	C₂²×D₁₂	C₂³	1	1	yes	characteristic
261	C₂²×D₁₂	C₂³	1	2	yes	—
262	C₂²×D₁₂	C₂³	1	1	yes	characteristic
263	C₂²×C₄×D₃	C₂³	1	2	yes	—
264	C₂²×C₄×D₃	C₂³	1	2	yes	—
265	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
266	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
267	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
268	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
269	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
270	C₃×#127	C₂³	1	2	yes	—
271	C₃×#127	C₂³	1	2	yes	—
272	C₃×#127	C₂³	1	2	yes	—
273	C₃×#127	C₂³	1	2	yes	—
274	C₃×#127	C₂³	1	4	yes	complemented
275	C₃×#125	C₂³	1	2	yes	complemented
276	C₃×#124	C₂³	1	4	yes	complemented
277	C₃×#124	C₂³	1	4	yes	complemented
278	C₃×#124	C₂³	1	4	yes	complemented
279	C₃×#123	C₂³	1	8	yes	complemented
280	C₃×#123	C₂³	1	8	yes	complemented
281	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
282	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
283	C₃×#121	C₂³	1	4	yes	complemented
284	C₃×#121	C₂³	1	8	yes	complemented
285	C₃×#121	C₂³	1	8	yes	complemented
286	C₃×#121	C₂³	1	4	yes	complemented
287	C₃×#121	C₂³	1	4	yes	complemented
288	C₃×#121	C₂³	1	4	yes	complemented
289	C₃×#120	C₂³	1	8	yes	—
290	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
291	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
292	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
293	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
294	C₃×C₄×D₄	C₂³	1	2	yes	—
295	C₃×C₄×D₄	C₂³	1	2	yes	—
296	C₃×C₄×D₄	C₂³	1	4	yes	complemented
297	C₃×C₄×D₄	C₂³	1	4	yes	complemented
298	C₃×C₄×D₄	C₂³	1	4	yes	complemented
299	C₃×C₄×D₄	C₂³	1	4	yes	complemented
300	C₃×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
301	C₃×C₄×D₄	C₂³	1	4	yes	complemented
302	C₃×C₄×D₄	C₂³	1	4	yes	complemented
303	C₃×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
304	C₃×#117	C₂³	1	2	yes	—
305	C₃×#117	C₂³	1	1	yes	characteristic
306	C₃×#117	C₂³	1	2	yes	complemented
307	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
308	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
309	C₂×C₃×C₄²	C₂³	1	2	yes	complemented
310	#953	C₂³	1	8	yes	—
311	C₂×#217	C₂³	1	8	yes	—
312	C₂×#217	C₂³	1	4	yes	—
313	#947	C₂³	1	2	yes	—
314	#947	C₂³	1	4	yes	complemented
315	#946	C₂³	1	8	yes	complemented
316	#946	C₂³	1	4	yes	complemented
317	#946	C₂³	1	2	yes	complemented
318	#946	C₂³	1	2	yes	complemented
319	#946	C₂³	1	2	yes	complemented
320	#946	C₂³	1	4	yes	complemented
321	Q₈×Dic₃	C₂³	1	2	yes	complemented
322	Q₈×Dic₃	C₂³	1	2	yes	complemented
323	#940	C₂³	1	4	yes	complemented
324	#939	C₂³	1	8	yes	complemented
325	#939	C₂³	1	8	yes	complemented
326	#939	C₂³	1	8	yes	complemented
327	#939	C₂³	1	8	yes	complemented
328	#938	C₂³	1	8	yes	—
329	#938	C₂³	1	4	yes	—
330	#938	C₂³	1	4	yes	—
331	#938	C₂³	1	4	yes	—
332	#938	C₂³	1	4	yes	—
333	#938	C₂³	1	4	yes	—
334	#938	C₂³	1	4	yes	—
335	#938	C₂³	1	4	yes	complemented
336	#938	C₂³	1	4	yes	complemented
337	#938	C₂³	1	4	yes	complemented
338	#938	C₂³	1	4	yes	complemented
339	#938	C₂³	1	2	yes	complemented
340	#938	C₂³	1	8	yes	complemented
341	#938	C₂³	1	2	yes	complemented
342	#938	C₂³	1	8	yes	complemented
343	#938	C₂³	1	8	yes	complemented
344	#937	C₂³	1	8	yes	—
345	#937	C₂³	1	8	yes	—
346	#937	C₂³	1	8	yes	—
347	#937	C₂³	1	8	yes	—
348	#937	C₂³	1	4	yes	—
349	#937	C₂³	1	8	yes	complemented
350	#937	C₂³	1	8	yes	complemented
351	#937	C₂³	1	8	yes	complemented
352	#937	C₂³	1	8	yes	complemented
353	#936	C₂³	1	4	yes	complemented
354	#936	C₂³	1	4	yes	complemented
355	#936	C₂³	1	4	yes	complemented
356	#936	C₂³	1	8	yes	complemented
357	#935	C₂³	1	4	yes	—
358	#935	C₂³	1	8	yes	complemented
359	#935	C₂³	1	8	yes	complemented
360	#935	C₂³	1	8	yes	complemented
361	#935	C₂³	1	8	yes	complemented
362	D₄×Dic₃	C₂³	1	4	yes	—
363	D₄×Dic₃	C₂³	1	4	yes	complemented
364	D₄×Dic₃	C₂³	1	4	yes	complemented
365	D₄×Dic₃	C₂³	1	4	yes	complemented
366	D₄×Dic₃	C₂³	1	4	yes	complemented
367	D₄×Dic₃	C₂³	1	4	yes	complemented
368	D₄×Dic₃	C₂³	1	4	yes	complemented
369	D₄×Dic₃	C₂³	1	2	yes	complemented
370	D₄×Dic₃	C₂³	1	8	yes	complemented
371	#930	C₂³	1	2	yes	—
372	#930	C₂³	1	8	yes	complemented
373	#929	C₂³	1	8	yes	complemented
374	#929	C₂³	1	8	yes	complemented
375	#929	C₂³	1	4	yes	complemented
376	C₄×#67	C₂³	1	2	yes	—
377	C₄×#67	C₂³	1	2	yes	—
378	C₄×#67	C₂³	1	8	yes	complemented
379	C₄×#67	C₂³	1	8	yes	complemented
380	C₄×#67	C₂³	1	8	yes	complemented
381	C₄×#67	C₂³	1	8	yes	complemented
382	C₄×#67	C₂³	1	8	yes	complemented
383	C₄×#67	C₂³	1	8	yes	complemented
384	C₄×#67	C₂³	1	4	yes	complemented
385	C₄×#67	C₂³	1	4	yes	complemented
386	C₄×#67	C₂³	1	4	yes	complemented
387	C₄×#67	C₂³	1	4	yes	complemented
388	C₄×#67	C₂³	1	4	yes	complemented
389	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
390	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
391	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
392	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
393	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
394	#926	C₂³	1	2	yes	—
395	#926	C₂³	1	1	yes	characteristic
396	#926	C₂³	1	8	yes	complemented
397	#926	C₂³	1	2	yes	complemented
398	#926	C₂³	1	2	yes	complemented
399	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₃	C₂³	1	2	yes	complemented
402	#924	C₂³	1	2	yes	—
403	#924	C₂³	1	2	yes	—
404	#924	C₂³	1	8	yes	complemented
405	#924	C₂³	1	2	yes	complemented
406	#898	C₂³	1	4	yes	complemented
407	#898	C₂³	1	4	yes	complemented
408	#898	C₂³	1	4	yes	complemented
409	#898	C₂³	1	4	yes	complemented
410	#897	C₂³	1	8	yes	complemented
411	#897	C₂³	1	2	yes	complemented
412	#897	C₂³	1	2	yes	complemented
413	#897	C₂³	1	4	yes	complemented
414	#896	C₂³	1	8	yes	complemented
415	#896	C₂³	1	8	yes	complemented
416	#896	C₂³	1	8	yes	complemented
417	#896	C₂³	1	4	yes	complemented
418	#895	C₂³	1	4	yes	—
419	#895	C₂³	1	2	yes	—
420	#895	C₂³	1	2	yes	complemented
421	#895	C₂³	1	2	yes	complemented
422	#894	C₂³	1	4	yes	—
423	#894	C₂³	1	4	yes	—
424	#894	C₂³	1	4	yes	complemented
425	#894	C₂³	1	4	yes	complemented
426	#893	C₂³	1	4	yes	—
427	#893	C₂³	1	4	yes	—
428	#893	C₂³	1	2	yes	—
429	#893	C₂³	1	2	yes	—
430	#893	C₂³	1	2	yes	—
431	#893	C₂³	1	4	yes	complemented
432	#893	C₂³	1	4	yes	complemented
433	#893	C₂³	1	4	yes	complemented
434	#892	C₂³	1	4	yes	complemented
435	#892	C₂³	1	2	yes	complemented
436	#892	C₂³	1	4	yes	complemented
437	#892	C₂³	1	2	yes	complemented
438	#892	C₂³	1	2	yes	complemented
439	#892	C₂³	1	2	yes	complemented
440	#892	C₂³	1	2	yes	complemented
441	#892	C₂³	1	2	yes	complemented
442	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
443	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
444	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
445	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
446	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
447	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
448	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
449	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
450	#890	C₂³	1	4	yes	complemented
451	#890	C₂³	1	2	yes	complemented
452	#890	C₂³	1	4	yes	complemented
453	#889	C₂³	1	4	yes	complemented
454	#888	C₂³	1	4	yes	complemented
455	#886	C₂³	1	4	yes	—
456	#886	C₂³	1	8	yes	complemented
457	#885	C₂³	1	8	yes	complemented
458	#885	C₂³	1	8	yes	complemented
459	#885	C₂³	1	8	yes	complemented
460	#885	C₂³	1	4	yes	complemented
461	#884	C₂³	1	4	yes	—
462	#884	C₂³	1	8	yes	complemented
463	#884	C₂³	1	8	yes	complemented
464	#884	C₂³	1	8	yes	complemented
465	#884	C₂³	1	8	yes	complemented
466	#883	C₂³	1	8	yes	complemented
467	#883	C₂³	1	8	yes	complemented
468	#883	C₂³	1	8	yes	complemented
469	#883	C₂³	1	8	yes	complemented
470	#883	C₂³	1	8	yes	complemented
471	#883	C₂³	1	4	yes	complemented
472	#882	C₂³	1	4	yes	—
473	#882	C₂³	1	8	yes	complemented
474	#882	C₂³	1	8	yes	complemented
475	#67⋊C₄	C₂³	1	4	yes	—
476	#67⋊C₄	C₂³	1	8	yes	complemented
477	#67⋊C₄	C₂³	1	8	yes	complemented
478	#67⋊C₄	C₂³	1	8	yes	complemented
479	#67⋊C₄	C₂³	1	8	yes	complemented
480	#67⋊C₄	C₂³	1	8	yes	complemented
481	#67⋊C₄	C₂³	1	4	yes	complemented
482	#67⋊C₄	C₂³	1	4	yes	complemented
483	D₃×C₂²⋊C₄	C₂³	1	8	yes	—
484	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
485	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
486	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
487	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
488	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
489	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
490	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
491	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
492	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
493	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
494	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
495	#879	C₂³	1	8	yes	complemented
496	#879	C₂³	1	8	yes	complemented
497	#879	C₂³	1	8	yes	complemented
498	#879	C₂³	1	8	yes	complemented
499	#879	C₂³	1	4	yes	complemented
500	#878	C₂³	1	8	yes	—
501	#878	C₂³	1	8	yes	complemented
502	#877	C₂³	1	4	yes	—
503	#877	C₂³	1	4	yes	—
504	#877	C₂³	1	8	yes	complemented
505	#876	C₂³	1	4	yes	complemented
506	#875	C₂³	1	2	yes	—
507	C₄×D₁₂	C₂³	1	2	yes	—
508	C₄×D₁₂	C₂³	1	4	yes	—
509	C₄×D₁₂	C₂³	1	4	yes	—
510	C₄×D₁₂	C₂³	1	2	yes	—
511	C₄×D₁₂	C₂³	1	2	yes	—
512	C₄×D₁₂	C₂³	1	1	yes	characteristic
513	C₄×D₁₂	C₂³	1	2	yes	—
514	C₄×D₁₂	C₂³	1	2	yes	—
515	C₄×D₁₂	C₂³	1	2	yes	—
516	C₄×D₁₂	C₂³	1	1	yes	characteristic
517	C₄×D₁₂	C₂³	1	1	yes	characteristic
518	C₄×D₁₂	C₂³	1	2	yes	—
519	C₄×D₁₂	C₂³	1	1	yes	characteristic
520	C₄×D₁₂	C₂³	1	2	yes	—
521	C₄×D₁₂	C₂³	1	2	yes	—
522	C₄×D₁₂	C₂³	1	4	yes	complemented
523	C₄×D₁₂	C₂³	1	4	yes	complemented
524	C₄×D₁₂	C₂³	1	4	yes	complemented
525	C₄×D₁₂	C₂³	1	4	yes	complemented
526	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
527	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
528	C₄×D₁₂	C₂³	1	2	yes	complemented
529	#872	C₂³	1	4	yes	complemented
530	#872	C₂³	1	4	yes	complemented
531	#872	C₂³	1	4	yes	complemented
532	#872	C₂³	1	2	yes	complemented
533	#872	C₂³	1	4	yes	complemented
534	C₄²×D₃	C₂³	1	4	yes	complemented
535	C₄²×D₃	C₂³	1	4	yes	complemented
536	C₄²×D₃	C₂³	1	2	yes	complemented
537	C₄²×D₃	C₂³	1	4	yes	complemented
538	#870	C₂³	1	2	yes	complemented
539	#870	C₂³	1	4	yes	complemented
540	#870	C₂³	1	2	yes	complemented
541	#869	C₂³	1	4	yes	complemented
542	#869	C₂³	1	1	yes	characteristic, complemented
543	#869	C₂³	1	1	yes	characteristic, complemented
544	C₄×Dic₆	C₂³	1	2	yes	complemented
545	C₄×Dic₆	C₂³	1	2	yes	complemented
546	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
547	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
548	C₄×Dic₆	C₂³	1	2	yes	complemented
549	C₄×Dic₆	C₂³	1	2	yes	complemented
550	C₂×H(5,𝔽₂)	—	3	1	no	—
551	C₂²×#41	—	3	4	no	—
552	C₂³×D₄	—	3	2	no	—
553	C₂³×D₄	—	3	2	no	—
554	#559	—	3	2	no	—
555	#559	—	3	2	no	—
556	#559	C₂×D₃	1	2	yes	complemented
557	#559	C₂×D₃	1	2	yes	complemented
558	#556	—	3	1	no	—
559	#556	—	3	1	no	—
560	#555	—	3	1	no	—
561	#555	—	3	4	no	—
562	#555	—	3	1	no	—
563	#555	—	3	4	no	—
564	#554	—	3	1	no	—
565	#554	—	3	2	no	—
566	#554	—	3	4	no	—
567	#554	—	3	1	no	—
568	#554	—	3	2	no	—
569	#554	—	3	4	no	—
570	#553	—	3	2	no	—
571	#553	—	3	8	no	—
572	#553	—	3	4	no	—
573	#553	—	3	4	no	—
574	#553	—	3	4	no	—
575	#553	—	3	8	no	—
576	#553	—	3	2	no	—
577	#553	—	3	4	no	—
578	#553	—	3	4	no	—
579	#553	—	3	4	no	—
580	#552	—	3	2	no	—
581	#552	—	3	2	no	—
582	#552	—	3	2	no	—
583	#552	—	3	2	no	—
584	#551	—	3	8	no	—
585	#551	—	3	8	no	—
586	#551	—	3	8	no	—
587	#551	—	3	4	no	—
588	#551	—	3	8	no	—
589	#551	—	3	4	no	—
590	#551	—	3	8	no	—
591	#551	—	3	8	no	—
592	#550	—	3	2	no	—
593	#550	—	3	2	no	—
594	#550	C₂×D₃	1	2	yes	complemented
595	#550	C₂×D₃	1	2	yes	complemented
596	D₄×Q₈	—	3	2	no	—
597	D₄×Q₈	—	3	2	no	—
598	#548	—	3	4	no	—
599	#548	—	3	4	no	—
600	#547	—	3	1	no	—
601	#547	—	3	4	no	—
602	#547	—	3	1	no	—
603	#547	—	3	4	no	—
604	#546	—	3	4	no	—
605	#546	—	3	8	no	—
606	#546	—	3	4	no	—
607	#546	—	3	4	no	—
608	#546	—	3	4	no	—
609	#546	—	3	4	no	—
610	#546	—	3	4	no	—
611	#546	—	3	8	no	—
612	#546	—	3	2	no	—
613	#546	—	3	4	no	—
614	#546	—	3	8	no	—
615	#546	—	3	8	no	—
616	#546	—	3	8	no	—
617	#546	—	3	4	no	—
618	#546	—	3	4	no	—
619	#546	—	3	8	no	—
620	#546	—	3	8	no	—
621	#546	—	3	2	no	—
622	#546	—	3	4	no	—
623	#546	—	3	8	no	—
624	#546	C₂×D₃	1	4	yes	complemented
625	#546	C₂×D₃	1	4	yes	complemented
626	D₄²	—	3	2	no	—
627	D₄²	—	3	2	no	—
628	D₄²	—	3	4	no	—
629	D₄²	—	3	4	no	—
630	D₄²	—	3	2	no	—
631	D₄²	—	3	2	no	—
632	D₄²	—	3	4	no	—
633	D₄²	—	3	4	no	—
634	D₄²	—	3	4	no	—
635	D₄²	—	3	4	no	—
636	#544	—	3	2	no	—
637	#543	—	3	4	no	—
638	#542	—	3	4	no	—
639	#542	—	3	4	no	—
640	#540	—	3	4	no	—
641	#540	—	3	4	no	—
642	#540	—	3	4	no	—
643	#540	C₂×D₃	1	4	yes	complemented
644	#539	—	3	8	no	—
645	#538	—	3	8	no	—
646	#538	—	3	8	no	—
647	#538	—	3	8	no	—
648	#538	—	3	8	no	—
649	#538	—	3	8	no	—
650	#535	—	3	2	no	—
651	#535	C₂×D₃	1	2	yes	complemented
652	#534	—	3	8	no	—
653	#533	—	3	1	no	—
654	#533	C₂×D₃	1	1	yes	characteristic, complemented
655	#532	—	3	2	no	—
656	#532	—	3	2	no	—
657	#532	—	3	4	no	—
658	#532	—	3	4	no	—
659	#532	C₂×D₃	1	2	yes	complemented
660	#532	C₂×D₃	1	2	yes	complemented
661	C₂×#127	C₂×D₃	1	1	yes	characteristic, complemented
662	#529	—	3	4	no	—
663	#529	—	3	4	no	—
664	#529	—	3	4	no	—
665	#529	—	3	2	no	—
666	#529	—	3	4	no	—
667	#529	—	3	4	no	—
668	#529	—	3	4	no	—
669	#529	—	3	2	no	—
670	C₂×#124	—	3	4	no	—
671	#525	—	3	2	no	—
672	#525	—	3	4	no	—
673	#525	—	3	8	no	—
674	#525	—	3	8	no	—
675	#525	—	3	8	no	—
676	#525	—	3	4	no	—
677	#525	—	3	8	no	—
678	#525	—	3	2	no	—
679	C₂×#123	—	3	8	no	—
680	C₂×C₂²⋊Q₈	—	3	4	no	—
681	C₂×#121	—	3	2	no	—
682	C₂×#121	—	3	2	no	—
683	C₂×#121	—	3	4	no	—
684	C₂×#121	—	3	8	no	—
685	C₂×#120	—	3	4	no	—
686	C₂×#120	—	3	8	no	—
687	#520	—	3	1	no	—
688	#520	—	3	2	no	—
689	#520	—	3	1	no	—
690	#520	—	3	2	no	—
691	#518	—	3	2	no	—
692	#518	—	3	4	no	—
693	#518	—	3	4	no	—
694	#518	—	3	4	no	—
695	#518	—	3	4	no	—
696	#518	—	3	4	no	—
697	#518	—	3	2	no	—
698	#518	—	3	1	no	—
699	#518	—	3	2	no	—
700	#518	—	3	2	no	—
701	#518	—	3	8	no	—
702	#518	C₂×D₃	1	2	yes	complemented
703	C₄×#41	—	3	2	no	—
704	C₄×#41	—	3	2	no	—
705	C₄×#41	—	3	1	no	—
706	C₄×#41	—	3	2	no	—
707	C₄×#41	—	3	2	no	—
708	C₄×#41	C₂×D₃	1	1	yes	characteristic, complemented
709	C₂×C₄×D₄	—	3	4	no	—
710	C₂×C₄×D₄	—	3	4	no	—
711	C₂×C₄×D₄	—	3	4	no	—
712	C₂×C₄×D₄	—	3	4	no	—
713	C₂×C₄×D₄	—	3	4	no	—
714	C₂×C₄×D₄	—	3	2	no	—
715	C₂×C₄×D₄	—	3	4	no	—
716	C₂×C₄×D₄	—	3	1	no	—
717	C₂×C₄×D₄	—	3	1	no	—
718	C₂×C₄×D₄	—	3	2	no	—
719	C₂×#117	—	3	2	no	—
720	C₂×#117	—	3	2	no	—
721	C₂²×C₂²⋊C₄	—	3	8	no	—
722	C₂⁴×C₃	C₂⁴	1	4	yes	—
723	C₂³×D₃	—	2	16	no	—
724	C₂³×D₃	—	4	8	no	—
725	C₂³×D₃	—	8	4	no	—
726	C₂³×D₃	C₂⁴	1	2	yes	—
727	C₂³×D₃	C₂⁴	1	8	yes	—
728	C₂³×D₃	C₂⁴	1	8	yes	—
729	C₂³×D₃	C₂⁴	1	4	yes	—
730	C₂³×D₃	C₂⁴	1	2	yes	—
731	C₃×#41	—	2	4	no	—
732	C₃×#41	—	4	8	no	—
733	C₃×#41	—	8	4	no	—
734	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
735	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
736	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
737	C₂×C₃×D₄	—	2	8	no	—
738	C₂×C₃×D₄	—	4	4	no	—
739	C₂×C₃×D₄	—	8	2	no	—
740	C₂×C₃×D₄	C₂⁴	1	2	yes	—
741	C₂×C₃×D₄	C₂⁴	1	4	yes	—
742	C₂×C₃×D₄	C₂⁴	1	4	yes	—
743	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
744	C₂×C₃×D₄	C₂⁴	1	4	yes	—
745	C₂×C₃×D₄	C₂⁴	1	8	yes	—
746	C₂×C₃×D₄	C₂⁴	1	4	yes	—
747	C₂×C₃×D₄	C₂⁴	1	4	yes	—
748	C₂×C₃×D₄	C₂⁴	1	4	yes	—
749	C₂×C₃×D₄	C₂⁴	1	8	yes	—
750	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
751	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
752	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
753	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
754	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
755	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
756	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
757	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
758	C₂×#67	—	2	16	no	—
759	C₂×#67	—	4	8	no	—
760	C₂×#67	C₂⁴	1	2	yes	—
761	C₂×#67	C₂⁴	1	8	yes	—
762	C₂×#67	C₂⁴	1	8	yes	—
763	C₂×#67	C₂⁴	1	4	yes	—
764	C₂×#67	C₂⁴	1	8	yes	—
765	C₂×#67	C₂⁴	1	4	yes	—
766	C₂×#67	C₂⁴	1	8	yes	—
767	C₂×#67	C₂⁴	1	8	yes	—
768	C₂×#67	C₂⁴	1	4	yes	—
769	C₂×#67	C₂⁴	1	8	yes	—
770	C₂²×Dic₃	C₂⁴	1	2	yes	—
771	C₂²×Dic₃	C₂⁴	1	8	yes	—
772	C₂²×Dic₃	C₂⁴	1	2	yes	—
773	C₂²×Dic₃	C₂⁴	1	8	yes	—
774	C₂²×Dic₃	C₂⁴	1	4	yes	—
775	#239	—	2	8	no	—
776	#239	—	2	8	no	—
777	D₃×Q₈	—	4	8	no	—
778	#237	—	4	8	no	—
779	#237	—	4	16	no	—
780	#237	—	8	4	no	—
781	D₃×D₄	—	2	16	no	—
782	D₃×D₄	—	2	16	no	—
783	D₃×D₄	—	2	16	no	—
784	D₃×D₄	—	2	16	no	—
785	D₃×D₄	—	2	16	no	—
786	D₃×D₄	—	2	8	no	—
787	D₃×D₄	—	2	16	no	—
788	D₃×D₄	—	4	8	no	—
789	D₃×D₄	—	4	16	no	—
790	D₃×D₄	—	4	16	no	—
791	D₃×D₄	—	8	8	no	—
792	#235	—	2	4	no	—
793	#235	—	2	8	no	—
794	#235	—	2	8	no	—
795	#235	—	4	16	no	—
796	C₂×D₁₂	—	2	8	no	—
797	C₂×D₁₂	—	2	4	no	—
798	C₂×D₁₂	#41	1	8	yes	complemented
799	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
800	C₂×D₁₂	C₂⁴	1	2	yes	—
801	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
802	C₂×D₁₂	C₂⁴	1	4	yes	—
803	C₂×D₁₂	C₂⁴	1	4	yes	—
804	C₂×D₁₂	C₂⁴	1	4	yes	—
805	C₂×D₁₂	C₂⁴	1	2	yes	—
806	C₂×D₁₂	C₂⁴	1	2	yes	—
807	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
808	C₂×C₄×D₃	—	2	8	no	—
809	C₂×C₄×D₃	—	4	4	no	—
810	C₂×C₄×D₃	—	4	8	no	—
811	C₂×C₄×D₃	—	4	16	no	—
812	C₂×C₄×D₃	—	8	8	no	—
813	C₂×C₄×D₃	C₂⁴	1	2	yes	—
814	C₂×C₄×D₃	C₂⁴	1	2	yes	—
815	C₂×C₄×D₃	C₂⁴	1	2	yes	—
816	C₂×C₄×D₃	C₂⁴	1	4	yes	—
817	C₂×C₄×D₃	C₂⁴	1	4	yes	—
818	C₂×C₄×D₃	C₂⁴	1	4	yes	—
819	C₂×C₄×D₃	C₂⁴	1	2	yes	—
820	C₂×C₄×D₃	C₂⁴	1	4	yes	—
821	C₂×C₄×D₃	C₂⁴	1	2	yes	—
822	C₂×C₄×D₃	C₂⁴	1	2	yes	—
823	C₂×C₄×D₃	C₂⁴	1	4	yes	—
824	C₂×C₄×D₃	C₂⁴	1	4	yes	—
825	C₂×C₄×D₃	C₂⁴	1	2	yes	—
826	C₂×C₄×D₃	C₂⁴	1	4	yes	—
827	C₂×C₄×D₃	C₂⁴	1	4	yes	—
828	C₂×C₄×D₃	C₂⁴	1	4	yes	—
829	C₂×C₄×D₃	C₂⁴	1	8	yes	—
830	C₂×C₄×D₃	C₂⁴	1	8	yes	—
831	C₂×C₄×D₃	C₂⁴	1	4	yes	—
832	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
833	C₂×Dic₆	C₂⁴	1	2	yes	—
834	C₂×Dic₆	C₂⁴	1	2	yes	—
835	C₂×Dic₆	C₂⁴	1	8	yes	—
836	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
837	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
838	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
839	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
840	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
842	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
843	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
844	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
846	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
849	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
850	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
851	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
852	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
853	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
854	C₃×C₄²	C₂⁴	1	1	yes	characteristic
855	C₃×C₄²	C₂⁴	1	1	yes	characteristic
856	C₃×C₄²	C₂⁴	1	2	yes	—
857	C₃×C₄²	C₂⁴	1	2	yes	—
858	C₃×C₄²	C₂⁴	1	1	yes	characteristic
859	C₃×C₄²	C₂⁴	1	4	yes	—
860	C₃×C₄²	C₂⁴	1	1	yes	characteristic
861	C₃×C₄²	C₂⁴	1	2	yes	—
862	#217	C₂⁴	1	2	yes	—
863	#217	C₂⁴	1	4	yes	—
864	#217	C₂⁴	1	8	yes	—
865	#217	C₂⁴	1	8	yes	—
866	#217	C₂⁴	1	8	yes	—
867	#217	C₂⁴	1	8	yes	—
868	#217	C₂⁴	1	8	yes	—
869	#217	C₂⁴	1	4	yes	—
870	#217	C₂⁴	1	4	yes	—
871	#217	C₂⁴	1	4	yes	—
872	#217	C₂⁴	1	8	yes	—
873	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
874	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
875	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
876	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
877	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
878	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
879	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
880	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
881	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
882	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
883	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
884	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
885	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
886	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
887	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
888	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
889	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
890	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
891	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
892	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
893	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
894	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
895	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
896	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
897	C₄⋊Dic₃	C₂⁴	1	2	yes	—
898	C₄⋊Dic₃	C₂⁴	1	2	yes	—
899	C₄⋊Dic₃	C₂⁴	1	2	yes	—
900	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
901	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
902	C₄⋊Dic₃	C₂⁴	1	2	yes	—
903	C₄⋊Dic₃	C₂⁴	1	2	yes	—
904	C₄⋊Dic₃	C₂⁴	1	2	yes	—
905	C₄⋊Dic₃	C₂⁴	1	8	yes	—
906	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
907	C₄⋊Dic₃	C₂⁴	1	2	yes	—
908	C₄⋊Dic₃	C₂⁴	1	4	yes	—
909	C₄⋊Dic₃	C₂⁴	1	4	yes	—
910	C₄⋊Dic₃	C₂⁴	1	4	yes	—
911	Dic₃⋊C₄	C₂⁴	1	4	yes	—
912	Dic₃⋊C₄	C₂⁴	1	4	yes	—
913	Dic₃⋊C₄	C₂⁴	1	2	yes	—
914	Dic₃⋊C₄	C₂⁴	1	4	yes	—
915	Dic₃⋊C₄	C₂⁴	1	4	yes	—
916	Dic₃⋊C₄	C₂⁴	1	2	yes	—
917	Dic₃⋊C₄	C₂⁴	1	4	yes	—
918	Dic₃⋊C₄	C₂⁴	1	4	yes	—
919	Dic₃⋊C₄	C₂⁴	1	8	yes	—
920	Dic₃⋊C₄	C₂⁴	1	8	yes	—
921	Dic₃⋊C₄	C₂⁴	1	4	yes	—
922	Dic₃⋊C₄	C₂⁴	1	4	yes	—
923	Dic₃⋊C₄	C₂⁴	1	4	yes	—
924	C₄×Dic₃	C₂⁴	1	4	yes	—
925	C₄×Dic₃	C₂⁴	1	2	yes	—
926	C₄×Dic₃	C₂⁴	1	4	yes	—
927	C₄×Dic₃	C₂⁴	1	4	yes	—
928	C₄×Dic₃	C₂⁴	1	2	yes	—
929	C₄×Dic₃	C₂⁴	1	2	yes	—
930	C₄×Dic₃	C₂⁴	1	4	yes	—
931	C₄×Dic₃	C₂⁴	1	4	yes	—
932	C₄×Dic₃	C₂⁴	1	4	yes	—
933	C₄×Dic₃	C₂⁴	1	4	yes	—
934	C₂⁵	—	3	4	no	—
935	H(5,𝔽₂)	—	6	8	no	—
936	C₂×#41	—	3	2	no	—
937	C₂×#41	—	3	2	no	—
938	C₂×#41	—	3	8	no	—
939	C₂×#41	—	3	4	no	—
940	C₂×#41	—	3	4	no	—
941	C₂×#41	—	3	1	no	—
942	C₂×#41	—	3	2	no	—
943	C₂×#41	—	3	2	no	—
944	C₂×#41	—	3	8	no	—
945	C₂×#41	—	12	16	no	—
946	C₂×#41	C₂²×D₃	1	1	yes	characteristic
947	C₂×#41	C₂²×D₃	1	4	yes	complemented
948	C₂×#41	C₂²×D₃	1	4	yes	complemented
949	C₂²×Q₈	—	3	4	no	—
950	C₂²×D₄	—	3	4	no	—
951	C₂²×D₄	—	3	4	no	—
952	C₂²×D₄	—	3	4	no	—
953	C₂²×D₄	—	3	4	no	—
954	C₂²×D₄	—	3	4	no	—
955	C₂²×D₄	—	3	2	no	—
956	C₂²×D₄	—	3	4	no	—
957	C₂²×D₄	—	3	4	no	—
958	C₂²×D₄	—	3	4	no	—
959	C₂²×D₄	—	3	8	no	—
960	C₂²×D₄	—	3	8	no	—
961	C₂²×D₄	—	3	4	no	—
962	C₂²×D₄	—	3	8	no	—
963	C₂²×D₄	—	3	1	no	—
964	C₂²×D₄	—	3	2	no	—
965	C₂²×D₄	—	3	1	no	—
966	C₂²×D₄	—	6	16	no	—
967	C₂²×D₄	—	12	8	no	—
968	C₂²×D₄	C₂²×D₃	1	2	yes	—
969	C₂²×D₄	C₂²×D₃	1	2	yes	—
970	C₂²×D₄	C₂²×D₃	1	2	yes	—
971	C₂³×C₄	—	3	2	no	—
972	C₂³×C₄	—	3	8	no	—
973	C₂³×C₄	—	3	2	no	—
974	C₂³×C₄	—	3	4	no	—
975	C₂³×C₄	—	3	8	no	—
976	C₄⋊Q₈	—	3	4	no	—
977	C₄⋊Q₈	—	3	1	no	—
978	C₄⋊Q₈	—	3	1	no	—
979	C₄⋊Q₈	—	3	4	no	—
980	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
981	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
982	#127	—	3	4	no	—
983	#127	C₂²×D₃	1	2	yes	—
984	#127	C₂²×D₃	1	2	yes	—
985	#127	C₂²×D₃	1	2	yes	—
986	#127	C₂²×D₃	1	2	yes	—
987	#127	C₂²×D₃	1	4	yes	complemented
988	#126	—	3	4	no	—
989	#126	—	3	4	no	—
990	#126	—	3	4	no	—
991	#126	—	3	4	no	—
992	#126	—	3	4	no	—
993	#126	—	3	8	no	—
994	#126	—	3	8	no	—
995	#126	—	3	8	no	—
996	#126	—	3	8	no	—
997	#126	—	3	4	no	—
998	#125	—	3	2	no	—
999	#125	—	3	4	no	—
1000	#125	—	3	4	no	—
1001	#125	—	3	4	no	—
1002	#125	—	3	2	no	—
1003	#125	—	3	4	no	—
1004	#125	—	3	2	no	—
1005	#125	C₂²×D₃	1	2	yes	complemented
1006	#124	—	3	2	no	—
1007	#124	—	3	4	no	—
1008	#124	—	3	4	no	—
1009	#124	—	3	4	no	—
1010	#124	—	3	8	no	—
1011	#124	—	3	4	no	—
1012	#124	—	3	8	no	—
1013	#124	—	3	8	no	—
1014	#124	—	3	4	no	—
1015	#124	—	3	8	no	—
1016	#124	—	3	2	no	—
1017	#124	C₂²×D₃	1	4	yes	complemented
1018	#124	C₂²×D₃	1	4	yes	complemented
1019	#124	C₂²×D₃	1	4	yes	complemented
1020	#123	—	3	8	no	—
1021	#123	—	3	4	no	—
1022	#123	—	3	8	no	—
1023	#123	—	3	8	no	—
1024	#123	—	3	8	no	—
1025	#123	—	3	8	no	—
1026	#123	—	3	8	no	—
1027	#123	—	3	4	no	—
1028	#123	—	3	4	no	—
1029	#123	—	3	4	no	—
1030	#123	—	3	4	no	—
1031	#123	—	3	4	no	—
1032	#123	—	3	8	no	—
1033	#123	—	3	8	no	—
1034	#123	—	3	8	no	—
1035	#123	—	3	4	no	—
1036	#123	—	3	4	no	—
1037	#123	—	3	8	no	—
1038	#123	—	3	8	no	—
1039	#123	—	3	8	no	—
1040	#123	C₂²×D₃	1	8	yes	complemented
1041	#123	C₂²×D₃	1	8	yes	complemented
1042	C₂²⋊Q₈	—	3	4	no	—
1043	C₂²⋊Q₈	—	3	2	no	—
1044	C₂²⋊Q₈	—	3	4	no	—
1045	C₂²⋊Q₈	—	3	2	no	—
1046	C₂²⋊Q₈	—	3	8	no	—
1047	C₂²⋊Q₈	—	3	2	no	—
1048	C₂²⋊Q₈	—	3	2	no	—
1049	C₂²⋊Q₈	—	3	2	no	—
1050	C₂²⋊Q₈	—	3	8	no	—
1051	C₂²⋊Q₈	—	3	2	no	—
1052	C₂²⋊Q₈	—	3	4	no	—
1053	C₂²⋊Q₈	—	3	8	no	—
1054	C₂²⋊Q₈	—	3	4	no	—
1055	C₂²⋊Q₈	—	3	2	no	—
1056	C₂²⋊Q₈	—	3	8	no	—
1057	C₂²⋊Q₈	—	3	8	no	—
1058	C₂²⋊Q₈	—	3	8	no	—
1059	C₂²⋊Q₈	—	3	2	no	—
1060	C₂²⋊Q₈	—	3	8	no	—
1061	C₂²⋊Q₈	—	3	8	no	—
1062	C₂²⋊Q₈	C₂²×D₃	1	2	yes	—
1063	C₂²⋊Q₈	C₂²×D₃	1	2	yes	—
1064	#121	—	3	4	no	—
1065	#121	—	3	4	no	—
1066	#121	—	3	8	no	—
1067	#121	—	3	4	no	—
1068	#121	—	3	4	no	—
1069	#121	—	3	4	no	—
1070	#121	—	3	8	no	—
1071	#121	—	3	8	no	—
1072	#121	—	3	8	no	—
1073	#121	—	3	8	no	—
1074	#121	—	3	4	no	—
1075	#121	—	3	4	no	—
1076	#121	—	3	2	no	—
1077	#121	—	3	8	no	—
1078	#121	—	3	8	no	—
1079	#121	—	3	8	no	—
1080	#121	—	3	2	no	—
1081	#121	—	3	4	no	—
1082	#121	—	3	4	no	—
1083	#121	—	3	4	no	—
1084	#121	—	3	2	no	—
1085	#121	—	3	8	no	—
1086	#121	—	3	4	no	—
1087	#121	—	3	2	no	—
1088	#121	—	3	2	no	—
1089	#121	—	3	2	no	—
1090	#121	—	3	4	no	—
1091	#121	—	3	8	no	—
1092	#121	—	3	8	no	—
1093	#121	—	3	8	no	—
1094	#121	—	3	8	no	—
1095	#121	C₂²×D₃	1	4	yes	complemented
1096	#121	C₂²×D₃	1	8	yes	complemented
1097	#121	C₂²×D₃	1	8	yes	complemented
1098	#121	C₂²×D₃	1	4	yes	complemented
1099	#121	C₂²×D₃	1	4	yes	complemented
1100	#121	C₂²×D₃	1	4	yes	complemented
1101	#120	—	3	8	no	—
1102	#120	—	3	4	no	—
1103	#120	—	3	8	no	—
1104	#120	—	3	8	no	—
1105	#120	—	3	8	no	—
1106	#120	—	3	8	no	—
1107	#120	—	3	8	no	—
1108	#120	—	3	8	no	—
1109	#120	—	3	8	no	—
1110	#120	—	3	8	no	—
1111	#120	—	3	4	no	—
1112	#120	—	3	8	no	—
1113	#120	—	3	8	no	—
1114	#120	C₂²×D₃	1	8	yes	—
1115	C₄×Q₈	—	3	2	no	—
1116	C₄×Q₈	—	3	2	no	—
1117	C₄×Q₈	—	3	1	no	—
1118	C₄×Q₈	—	3	2	no	—
1119	C₄×Q₈	—	3	1	no	—
1120	C₄×Q₈	—	3	2	no	—
1121	C₄×Q₈	—	3	2	no	—
1122	C₄×Q₈	—	3	2	no	—
1123	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
1124	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
1125	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
1126	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
1127	C₄×D₄	—	3	4	no	—
1128	C₄×D₄	—	3	4	no	—
1129	C₄×D₄	—	3	4	no	—
1130	C₄×D₄	—	3	4	no	—
1131	C₄×D₄	—	3	2	no	—
1132	C₄×D₄	—	3	4	no	—
1133	C₄×D₄	—	3	4	no	—
1134	C₄×D₄	—	3	4	no	—
1135	C₄×D₄	—	3	8	no	—
1136	C₄×D₄	—	3	2	no	—
1137	C₄×D₄	—	3	4	no	—
1138	C₄×D₄	—	3	8	no	—
1139	C₄×D₄	—	3	8	no	—
1140	C₄×D₄	—	3	8	no	—
1141	C₄×D₄	—	3	8	no	—
1142	C₄×D₄	—	3	8	no	—
1143	C₄×D₄	—	3	4	no	—
1144	C₄×D₄	—	3	2	no	—
1145	C₄×D₄	—	3	4	no	—
1146	C₄×D₄	—	3	4	no	—
1147	C₄×D₄	—	3	8	no	—
1148	C₄×D₄	—	3	4	no	—
1149	C₄×D₄	—	3	2	no	—
1150	C₄×D₄	—	3	2	no	—
1151	C₄×D₄	—	3	2	no	—
1152	C₄×D₄	—	3	4	no	—
1153	C₄×D₄	—	3	4	no	—
1154	C₄×D₄	—	3	4	no	—
1155	C₄×D₄	—	3	4	no	—
1156	C₄×D₄	—	3	4	no	—
1157	C₄×D₄	—	3	8	no	—
1158	C₄×D₄	—	3	8	no	—
1159	C₄×D₄	—	3	8	no	—
1160	C₄×D₄	—	3	8	no	—
1161	C₄×D₄	—	3	4	no	—
1162	C₄×D₄	—	3	4	no	—
1163	C₄×D₄	—	3	4	no	—
1164	C₄×D₄	—	3	8	no	—
1165	C₄×D₄	—	3	2	no	—
1166	C₄×D₄	—	3	2	no	—
1167	C₄×D₄	—	3	2	no	—
1168	C₄×D₄	—	3	2	no	—
1169	C₄×D₄	—	3	2	no	—
1170	C₄×D₄	—	3	4	no	—
1171	C₄×D₄	—	3	1	no	—
1172	C₄×D₄	—	3	1	no	—
1173	C₄×D₄	—	3	1	no	—
1174	C₄×D₄	—	3	4	no	—
1175	C₄×D₄	—	3	4	no	—
1176	C₄×D₄	—	3	4	no	—
1177	C₄×D₄	—	3	2	no	—
1178	C₄×D₄	—	3	2	no	—
1179	C₄×D₄	—	3	2	no	—
1180	C₄×D₄	—	3	2	no	—
1181	C₄×D₄	—	3	2	no	—
1182	C₄×D₄	—	3	1	no	—
1183	C₄×D₄	—	3	1	no	—
1184	C₄×D₄	—	3	1	no	—
1185	C₄×D₄	—	3	4	no	—
1186	C₄×D₄	—	3	4	no	—
1187	C₄×D₄	C₂²×D₃	1	2	yes	—
1188	C₄×D₄	C₂²×D₃	1	2	yes	—
1189	C₄×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
1190	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1191	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1192	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1193	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1194	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1195	C₄×D₄	C₂²×D₃	1	1	yes	characteristic, complemented
1196	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1197	#117	—	3	1	no	—
1198	#117	—	3	2	no	—
1199	#117	—	3	2	no	—
1200	#117	—	3	2	no	—
1201	#117	—	3	8	no	—
1202	#117	—	3	2	no	—
1203	#117	—	3	2	no	—
1204	#117	—	3	2	no	—
1205	#117	—	3	2	no	—
1206	#117	—	3	4	no	—
1207	#117	—	3	2	no	—
1208	#117	—	3	4	no	—
1209	#117	—	3	2	no	—
1210	#117	—	3	4	no	—
1211	#117	—	3	4	no	—
1212	#117	—	3	8	no	—
1213	#117	—	3	4	no	—
1214	#117	—	3	4	no	—
1215	#117	—	3	2	no	—
1216	#117	—	3	4	no	—
1217	#117	—	3	4	no	—
1218	#117	C₂²×D₃	1	1	yes	characteristic
1219	#117	C₂²×D₃	1	2	yes	—
1220	#117	C₂²×D₃	1	2	yes	complemented
1221	C₂×C₄⋊C₄	—	3	1	no	—
1222	C₂×C₄⋊C₄	—	3	2	no	—
1223	C₂×C₄⋊C₄	—	3	1	no	—
1224	C₂×C₄⋊C₄	—	3	2	no	—
1225	C₂×C₄⋊C₄	—	3	2	no	—
1226	C₂×C₄⋊C₄	—	3	2	no	—
1227	C₂×C₄⋊C₄	—	3	2	no	—
1228	C₂×C₄⋊C₄	—	3	4	no	—
1229	C₂×C₄⋊C₄	—	3	2	no	—
1230	C₂×C₄⋊C₄	—	3	4	no	—
1231	C₂×C₄⋊C₄	—	3	8	no	—
1232	C₂×C₂²⋊C₄	—	3	8	no	—
1233	C₂×C₂²⋊C₄	—	3	4	no	—
1234	C₂×C₂²⋊C₄	—	3	8	no	—
1235	C₂×C₂²⋊C₄	—	3	8	no	—
1236	C₂×C₂²⋊C₄	—	3	2	no	—
1237	C₂×C₂²⋊C₄	—	3	4	no	—
1238	C₂×C₂²⋊C₄	—	3	2	no	—
1239	C₂×C₂²⋊C₄	—	3	4	no	—
1240	C₂×C₂²⋊C₄	—	3	4	no	—
1241	C₂×C₂²⋊C₄	—	3	4	no	—
1242	C₂×C₂²⋊C₄	—	3	8	no	—
1243	C₂×C₂²⋊C₄	—	3	8	no	—
1244	C₂×C₂²⋊C₄	—	3	8	no	—
1245	C₂×C₂²⋊C₄	—	3	8	no	—
1246	C₂×C₂²⋊C₄	—	3	8	no	—
1247	C₂×C₂²⋊C₄	—	3	4	no	—
1248	C₂×C₂²⋊C₄	—	3	4	no	—
1249	C₂×C₂²⋊C₄	—	3	8	no	—
1250	C₂×C₂²⋊C₄	—	3	8	no	—
1251	C₂×C₂²⋊C₄	C₂²×D₃	1	8	yes	—
1252	C₂×C₄²	—	3	4	no	—
1253	C₂×C₄²	—	3	4	no	—
1254	C₂×C₄²	—	3	4	no	—
1255	C₂×C₄²	—	3	2	no	—
1256	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1257	C₂×C₄²	C₂²×D₃	1	2	yes	complemented
1258	C₂³×C₃	—	2	8	no	—
1259	C₂³×C₃	—	4	4	no	—
1260	C₂³×C₃	—	4	4	no	—
1261	C₂³×C₃	C₂⁵	1	8	yes	—
1262	C₂³×C₃	C₂⁵	1	2	yes	—
1263	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1264	C₂²×D₃	—	2	4	no	—
1265	C₂²×D₃	—	2	16	no	—
1266	C₂²×D₃	—	2	16	no	—
1267	C₂²×D₃	—	2	4	no	—
1268	C₂²×D₃	—	2	8	no	—
1269	C₂²×D₃	—	2	16	no	—
1270	C₂²×D₃	—	4	2	no	—
1271	C₂²×D₃	—	4	8	no	—
1272	C₂²×D₃	—	4	2	no	—
1273	C₂²×D₃	—	4	2	no	—
1274	C₂²×D₃	—	4	4	no	—
1275	C₂²×D₃	—	4	8	no	—
1276	C₂²×D₃	—	4	4	no	—
1277	C₂²×D₃	—	4	8	no	—
1278	C₂²×D₃	—	8	32	no	—
1279	C₂²×D₃	C₂×#41	1	8	yes	complemented
1280	C₂²×D₃	C₂⁵	1	2	yes	—
1281	C₂²×D₃	C₂⁵	1	2	yes	—
1282	C₂²×D₃	C₂⁵	1	4	yes	—
1283	C₂²×D₃	C₂⁵	1	2	yes	—
1284	C₃×Q₈	—	2	2	no	—
1285	C₃×Q₈	—	2	4	no	—
1286	C₃×Q₈	—	4	2	no	—
1287	C₃×D₄	—	2	4	no	—
1288	C₃×D₄	—	2	8	no	—
1289	C₃×D₄	—	2	8	no	—
1290	C₃×D₄	—	2	2	no	—
1291	C₃×D₄	—	2	8	no	—
1292	C₃×D₄	—	4	4	no	—
1293	C₃×D₄	—	4	8	no	—
1294	C₃×D₄	—	4	8	no	—
1295	C₃×D₄	—	4	4	no	—
1296	C₃×D₄	—	4	4	no	—
1297	C₂×C₃×C₄	—	2	4	no	—
1298	C₂×C₃×C₄	—	2	2	no	—
1299	C₂×C₃×C₄	—	2	4	no	—
1300	C₂×C₃×C₄	—	4	8	no	—
1301	C₂×C₃×C₄	—	4	8	no	—
1302	C₂×C₃×C₄	—	4	1	no	—
1303	C₂×C₃×C₄	—	4	2	no	—
1304	C₂×C₃×C₄	C₂×#41	1	4	yes	complemented
1305	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1306	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1307	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1308	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1309	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1310	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1311	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1313	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1314	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1315	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1316	#67	—	2	4	no	—
1317	#67	—	2	8	no	—
1318	#67	—	2	16	no	—
1319	#67	—	2	16	no	—
1320	#67	—	2	8	no	—
1321	#67	—	2	16	no	—
1322	#67	—	4	8	no	—
1323	#67	—	4	8	no	—
1324	#67	—	4	4	no	—
1325	#67	—	4	8	no	—
1326	C₂×Dic₃	—	2	4	no	—
1327	C₂×Dic₃	—	4	8	no	—
1328	C₂×Dic₃	—	4	4	no	—
1329	C₂×Dic₃	—	4	2	no	—
1330	C₂×Dic₃	—	4	8	no	—
1331	C₂×Dic₃	C₂⁵	1	2	yes	—
1332	C₂×Dic₃	C₂⁵	1	2	yes	—
1333	C₂×Dic₃	C₂⁵	1	2	yes	—
1334	C₂×Dic₃	C₂⁵	1	2	yes	—
1335	C₂×Dic₃	C₂⁵	1	2	yes	—
1336	C₂×Dic₃	C₂⁵	1	4	yes	—
1337	C₂×Dic₃	C₂⁵	1	4	yes	—
1338	C₂×Dic₃	C₂⁵	1	4	yes	—
1339	D₁₂	—	2	8	no	—
1340	D₁₂	—	2	4	no	—
1341	D₁₂	—	2	8	no	—
1342	D₁₂	—	2	2	no	—
1343	D₁₂	—	2	2	no	—
1344	D₁₂	—	4	4	no	—
1345	D₁₂	C₂×#41	1	8	yes	complemented
1346	D₁₂	C₂×#41	1	8	yes	complemented
1347	D₁₂	H(5,𝔽₂)	1	4	yes	complemented
1348	C₄×D₃	—	2	8	no	—
1349	C₄×D₃	—	2	8	no	—
1350	C₄×D₃	—	2	8	no	—
1351	C₄×D₃	—	2	4	no	—
1352	C₄×D₃	—	2	4	no	—
1353	C₄×D₃	—	2	4	no	—
1354	C₄×D₃	—	2	4	no	—
1355	C₄×D₃	—	2	4	no	—
1356	C₄×D₃	—	2	8	no	—
1357	C₄×D₃	—	2	4	no	—
1358	C₄×D₃	—	4	4	no	—
1359	C₄×D₃	—	4	4	no	—
1360	C₄×D₃	—	4	4	no	—
1361	C₄×D₃	—	4	8	no	—
1362	C₄×D₃	—	4	4	no	—
1363	C₄×D₃	—	4	4	no	—
1364	C₄×D₃	—	4	4	no	—
1365	C₄×D₃	—	4	8	no	—
1366	C₄×D₃	—	4	2	no	—
1367	Dic₆	—	2	2	no	—
1368	Dic₆	—	2	4	no	—
1369	Dic₆	—	4	8	no	—
1370	Dic₆	—	4	2	no	—
1371	C₂⁴	—	3	2	no	—
1372	C₂⁴	—	3	2	no	—
1373	C₂⁴	—	3	8	no	—
1374	C₂⁴	—	3	8	no	—
1375	C₂⁴	—	3	4	no	—
1376	C₂⁴	—	6	16	no	—
1377	C₂⁴	—	12	8	no	—
1378	C₂⁴	—	24	4	no	—
1379	C₂⁴	C₂³×D₃	1	4	yes	—
1380	#41	—	2	4	no	—
1381	#41	—	4	8	no	—
1382	#41	—	6	8	no	—
1383	#41	—	6	8	no	—
1384	#41	—	6	8	no	—
1385	#41	—	6	8	no	—
1386	#41	—	6	4	no	—
1387	#41	—	8	4	no	—
1388	#41	—	12	16	no	—
1389	#41	—	12	8	no	—
1390	#41	—	12	16	no	—
1391	#41	—	24	4	no	—
1392	C₂×Q₈	—	3	1	no	—
1393	C₂×Q₈	—	3	2	no	—
1394	C₂×Q₈	—	3	2	no	—
1395	C₂×Q₈	—	3	8	no	—
1396	C₂×Q₈	—	12	8	no	—
1397	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1398	C₂×Q₈	C₂³×D₃	1	2	yes	—
1399	C₂×Q₈	C₂³×D₃	1	2	yes	—
1400	C₂×D₄	—	2	8	no	—
1401	C₂×D₄	—	3	2	no	—
1402	C₂×D₄	—	3	4	no	—
1403	C₂×D₄	—	3	8	no	—
1404	C₂×D₄	—	3	8	no	—
1405	C₂×D₄	—	3	4	no	—
1406	C₂×D₄	—	3	8	no	—
1407	C₂×D₄	—	3	4	no	—
1408	C₂×D₄	—	3	8	no	—
1409	C₂×D₄	—	3	8	no	—
1410	C₂×D₄	—	3	8	no	—
1411	C₂×D₄	—	3	8	no	—
1412	C₂×D₄	—	3	2	no	—
1413	C₂×D₄	—	3	2	no	—
1414	C₂×D₄	—	3	1	no	—
1415	C₂×D₄	—	3	4	no	—
1416	C₂×D₄	—	3	1	no	—
1417	C₂×D₄	—	3	4	no	—
1418	C₂×D₄	—	3	2	no	—
1419	C₂×D₄	—	3	1	no	—
1420	C₂×D₄	—	3	4	no	—
1421	C₂×D₄	—	4	4	no	—
1422	C₂×D₄	—	6	4	no	—
1423	C₂×D₄	—	6	8	no	—
1424	C₂×D₄	—	6	16	no	—
1425	C₂×D₄	—	6	16	no	—
1426	C₂×D₄	—	6	16	no	—
1427	C₂×D₄	—	6	16	no	—
1428	C₂×D₄	—	6	16	no	—
1429	C₂×D₄	—	6	8	no	—
1430	C₂×D₄	—	6	16	no	—
1431	C₂×D₄	—	6	16	no	—
1432	C₂×D₄	—	8	2	no	—
1433	C₂×D₄	—	12	8	no	—
1434	C₂×D₄	—	12	16	no	—
1435	C₂×D₄	—	12	16	no	—
1436	C₂×D₄	—	12	8	no	—
1437	C₂×D₄	—	24	8	no	—
1438	C₂×D₄	C₂³×D₃	1	2	yes	—
1439	C₂×D₄	C₂³×D₃	1	4	yes	—
1440	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1441	C₂×D₄	C₂³×D₃	1	4	yes	—
1442	C₂×D₄	C₂³×D₃	1	4	yes	—
1443	C₂×D₄	C₂³×D₃	1	4	yes	—
1444	C₂×D₄	C₂³×D₃	1	8	yes	—
1445	C₂×D₄	C₂³×D₃	1	4	yes	—
1446	C₂×D₄	C₂³×D₃	1	8	yes	—
1447	C₂×D₄	C₂³×D₃	1	4	yes	—
1448	C₂²×C₄	—	3	2	no	—
1449	C₂²×C₄	—	3	2	no	—
1450	C₂²×C₄	—	3	8	no	—
1451	C₂²×C₄	—	3	8	no	—
1452	C₂²×C₄	—	3	4	no	—
1453	C₂²×C₄	—	3	2	no	—
1454	C₂²×C₄	—	3	2	no	—
1455	C₂²×C₄	—	3	4	no	—
1456	C₂²×C₄	—	3	4	no	—
1457	C₂²×C₄	—	3	4	no	—
1458	C₂²×C₄	—	3	2	no	—
1459	C₂²×C₄	—	3	4	no	—
1460	C₂²×C₄	—	3	2	no	—
1461	C₂²×C₄	—	3	2	no	—
1462	C₂²×C₄	—	3	2	no	—
1463	C₂²×C₄	—	3	4	no	—
1464	C₂²×C₄	—	3	4	no	—
1465	C₂²×C₄	—	3	4	no	—
1466	C₂²×C₄	—	3	2	no	—
1467	C₂²×C₄	—	3	8	no	—
1468	C₂²×C₄	—	3	4	no	—
1469	C₂²×C₄	—	3	8	no	—
1470	C₂²×C₄	—	3	4	no	—
1471	C₂²×C₄	—	3	4	no	—
1472	C₂²×C₄	—	6	8	no	—
1473	C₂²×C₄	—	12	4	no	—
1474	C₂²×C₄	—	12	8	no	—
1475	C₂²×C₄	—	12	16	no	—
1476	C₂²×C₄	—	24	8	no	—
1477	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1478	C₂²×C₄	C₂³×D₃	1	2	yes	—
1479	C₂²×C₄	C₂³×D₃	1	2	yes	—
1480	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂³×D₃	1	2	yes	—
1482	C₂²×C₄	C₂³×D₃	1	8	yes	—
1483	C₂²×C₄	C₂³×D₃	1	8	yes	—
1484	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1485	C₄⋊C₄	—	3	1	no	—
1486	C₄⋊C₄	—	3	1	no	—
1487	C₄⋊C₄	—	3	2	no	—
1488	C₄⋊C₄	—	3	2	no	—
1489	C₄⋊C₄	—	3	2	no	—
1490	C₄⋊C₄	—	3	4	no	—
1491	C₄⋊C₄	—	3	4	no	—
1492	C₄⋊C₄	—	3	2	no	—
1493	C₄⋊C₄	—	3	4	no	—
1494	C₄⋊C₄	—	3	2	no	—
1495	C₄⋊C₄	—	3	2	no	—
1496	C₄⋊C₄	—	3	4	no	—
1497	C₄⋊C₄	—	3	4	no	—
1498	C₄⋊C₄	—	3	4	no	—
1499	C₄⋊C₄	—	3	4	no	—
1500	C₄⋊C₄	—	3	1	no	—
1501	C₄⋊C₄	—	3	1	no	—
1502	C₄⋊C₄	—	3	8	no	—
1503	C₄⋊C₄	—	3	8	no	—
1504	C₄⋊C₄	—	3	2	no	—
1505	C₄⋊C₄	—	3	8	no	—
1506	C₄⋊C₄	—	3	2	no	—
1507	C₄⋊C₄	—	3	4	no	—
1508	C₄⋊C₄	—	3	4	no	—
1509	C₄⋊C₄	—	3	4	no	—
1510	C₄⋊C₄	—	3	4	no	—
1511	C₄⋊C₄	—	3	4	no	—
1512	C₄⋊C₄	—	3	2	no	—
1513	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1514	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1515	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1516	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1517	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1518	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1519	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1520	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1521	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1522	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1523	C₂²⋊C₄	—	3	2	no	—
1524	C₂²⋊C₄	—	3	4	no	—
1525	C₂²⋊C₄	—	3	8	no	—
1526	C₂²⋊C₄	—	3	8	no	—
1527	C₂²⋊C₄	—	3	4	no	—
1528	C₂²⋊C₄	—	3	8	no	—
1529	C₂²⋊C₄	—	3	8	no	—
1530	C₂²⋊C₄	—	3	8	no	—
1531	C₂²⋊C₄	—	3	8	no	—
1532	C₂²⋊C₄	—	3	4	no	—
1533	C₂²⋊C₄	—	3	4	no	—
1534	C₂²⋊C₄	—	3	4	no	—
1535	C₂²⋊C₄	—	3	4	no	—
1536	C₂²⋊C₄	—	3	4	no	—
1537	C₂²⋊C₄	—	3	4	no	—
1538	C₂²⋊C₄	—	3	4	no	—
1539	C₂²⋊C₄	—	3	4	no	—
1540	C₂²⋊C₄	—	3	8	no	—
1541	C₂²⋊C₄	—	3	8	no	—
1542	C₂²⋊C₄	—	3	4	no	—
1543	C₂²⋊C₄	—	3	4	no	—
1544	C₂²⋊C₄	—	3	4	no	—
1545	C₂²⋊C₄	—	3	4	no	—
1546	C₂²⋊C₄	—	3	2	no	—
1547	C₂²⋊C₄	—	3	2	no	—
1548	C₂²⋊C₄	—	3	4	no	—
1549	C₂²⋊C₄	—	3	4	no	—
1550	C₂²⋊C₄	—	3	4	no	—
1551	C₂²⋊C₄	—	3	2	no	—
1552	C₂²⋊C₄	—	3	2	no	—
1553	C₂²⋊C₄	—	3	2	no	—
1554	C₂²⋊C₄	—	3	2	no	—
1555	C₂²⋊C₄	—	3	4	no	—
1556	C₂²⋊C₄	—	3	4	no	—
1557	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1558	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1559	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1560	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1561	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1562	C₂²⋊C₄	C₂³×D₃	1	2	yes	—
1563	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1564	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1565	C₄²	—	3	2	no	—
1566	C₄²	—	3	2	no	—
1567	C₄²	—	3	4	no	—
1568	C₄²	—	3	4	no	—
1569	C₄²	—	3	4	no	—
1570	C₄²	—	3	4	no	—
1571	C₄²	—	3	2	no	—
1572	C₄²	—	3	4	no	—
1573	C₄²	—	3	4	no	—
1574	C₄²	—	3	4	no	—
1575	C₄²	C₂³×D₃	1	1	yes	characteristic
1576	C₄²	C₂³×D₃	1	2	yes	—
1577	C₄²	C₂³×D₃	1	2	yes	—
1578	C₄²	C₂³×D₃	1	4	yes	—
1579	C₄²	C₂³×D₃	1	1	yes	characteristic
1580	C₄²	C₂³×D₃	1	1	yes	characteristic
1581	C₄²	C₂³×D₃	1	1	yes	characteristic
1582	C₄²	C₂³×D₃	1	2	yes	—
1583	C₂²×C₃	—	2	1	no	—
1584	C₂²×C₃	—	2	1	no	—
1585	C₂²×C₃	—	2	2	no	—
1586	C₂²×C₃	—	2	8	no	—
1587	C₂²×C₃	—	2	2	no	—
1588	C₂²×C₃	—	2	8	no	—
1589	C₂²×C₃	—	2	8	no	—
1590	C₂²×C₃	—	2	2	no	—
1591	C₂²×C₃	—	8	8	no	—
1592	C₂²×C₃	C₂²×#41	1	2	yes	—
1593	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1594	C₂×D₃	—	2	2	no	—
1595	C₂×D₃	—	2	4	no	—
1596	C₂×D₃	—	2	2	no	—
1597	C₂×D₃	—	2	4	no	—
1598	C₂×D₃	—	2	2	no	—
1599	C₂×D₃	—	2	2	no	—
1600	C₂×D₃	—	2	2	no	—
1601	C₂×D₃	—	2	2	no	—
1602	C₂×D₃	—	2	2	no	—
1603	C₂×D₃	—	2	2	no	—
1604	C₂×D₃	—	4	8	no	—
1605	C₂×D₃	—	4	32	no	—
1606	C₂×D₃	—	4	8	no	—
1607	C₂×D₃	—	8	8	no	—
1608	C₂×D₃	—	8	16	no	—
1609	C₂×D₃	C₂²×#41	1	8	yes	—
1610	C₂×D₃	C₂×H(5,𝔽₂)	1	4	yes	—
1611	C₃×C₄	—	2	2	no	—
1612	C₃×C₄	—	2	4	no	—
1613	C₃×C₄	—	2	2	no	—
1614	C₃×C₄	—	2	1	no	—
1615	C₃×C₄	—	2	1	no	—
1616	C₃×C₄	—	2	2	no	—
1617	C₃×C₄	—	2	4	no	—
1618	C₃×C₄	—	2	1	no	—
1619	C₃×C₄	C₂²×#41	1	2	yes	—
1620	C₃×C₄	C₂²×#41	1	2	yes	—
1621	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1622	Dic₃	—	2	2	no	—
1623	Dic₃	—	2	2	no	—
1624	Dic₃	—	2	2	no	—
1625	Dic₃	—	2	4	no	—
1626	Dic₃	—	2	4	no	—
1627	Dic₃	—	2	2	no	—
1628	Dic₃	—	2	4	no	—
1629	Dic₃	—	2	2	no	—
1630	C₂³	—	2	8	no	—
1631	C₂³	—	3	4	no	—
1632	C₂³	—	3	2	no	—
1633	C₂³	—	3	8	no	—
1634	C₂³	—	3	2	no	—
1635	C₂³	—	3	2	no	—
1636	C₂³	—	4	4	no	—
1637	C₂³	—	4	4	no	—
1638	C₂³	—	6	16	no	—
1639	C₂³	—	6	16	no	—
1640	C₂³	—	6	4	no	—
1641	C₂³	—	6	8	no	—
1642	C₂³	—	6	16	no	—
1643	C₂³	—	6	4	no	—
1644	C₂³	—	12	2	no	—
1645	C₂³	—	12	8	no	—
1646	C₂³	—	12	2	no	—
1647	C₂³	—	12	2	no	—
1648	C₂³	—	12	4	no	—
1649	C₂³	—	12	8	no	—
1650	C₂³	—	12	4	no	—
1651	C₂³	—	12	8	no	—
1652	C₂³	—	24	32	no	—
1653	C₂³	C₂⁴×D₃	1	8	yes	—
1654	C₂³	C₂⁴×D₃	1	2	yes	—
1655	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1656	Q₈	—	2	2	no	—
1657	Q₈	—	2	4	no	—
1658	Q₈	—	4	2	no	—
1659	Q₈	—	6	2	no	—
1660	Q₈	—	6	4	no	—
1661	Q₈	—	12	8	no	—
1662	Q₈	—	12	2	no	—
1663	D₄	—	2	4	no	—
1664	D₄	—	2	8	no	—
1665	D₄	—	2	8	no	—
1666	D₄	—	2	2	no	—
1667	D₄	—	2	8	no	—
1668	D₄	—	3	8	no	—
1669	D₄	—	3	8	no	—
1670	D₄	—	3	4	no	—
1671	D₄	—	4	4	no	—
1672	D₄	—	4	4	no	—
1673	D₄	—	4	4	no	—
1674	D₄	—	4	8	no	—
1675	D₄	—	4	8	no	—
1676	D₄	—	6	8	no	—
1677	D₄	—	6	4	no	—
1678	D₄	—	6	8	no	—
1679	D₄	—	6	16	no	—
1680	D₄	—	6	16	no	—
1681	D₄	—	6	8	no	—
1682	D₄	—	6	16	no	—
1683	D₄	—	6	8	no	—
1684	D₄	—	6	4	no	—
1685	D₄	—	6	2	no	—
1686	D₄	—	6	2	no	—
1687	D₄	—	12	4	no	—
1688	D₄	—	12	8	no	—
1689	D₄	—	12	8	no	—
1690	D₄	—	12	4	no	—
1691	D₄	—	12	8	no	—
1692	C₂×C₄	—	2	4	no	—
1693	C₂×C₄	—	2	2	no	—
1694	C₂×C₄	—	2	4	no	—
1695	C₂×C₄	—	3	2	no	—
1696	C₂×C₄	—	3	2	no	—
1697	C₂×C₄	—	3	2	no	—
1698	C₂×C₄	—	3	2	no	—
1699	C₂×C₄	—	3	2	no	—
1700	C₂×C₄	—	3	4	no	—
1701	C₂×C₄	—	3	4	no	—
1702	C₂×C₄	—	3	4	no	—
1703	C₂×C₄	—	4	8	no	—
1704	C₂×C₄	—	4	8	no	—
1705	C₂×C₄	—	4	1	no	—
1706	C₂×C₄	—	4	2	no	—
1707	C₂×C₄	—	6	8	no	—
1708	C₂×C₄	—	6	8	no	—
1709	C₂×C₄	—	6	8	no	—
1710	C₂×C₄	—	6	4	no	—
1711	C₂×C₄	—	6	4	no	—
1712	C₂×C₄	—	6	4	no	—
1713	C₂×C₄	—	6	4	no	—
1714	C₂×C₄	—	6	4	no	—
1715	C₂×C₄	—	6	4	no	—
1716	C₂×C₄	—	6	8	no	—
1717	C₂×C₄	—	6	4	no	—
1718	C₂×C₄	—	12	4	no	—
1719	C₂×C₄	—	12	4	no	—
1720	C₂×C₄	—	12	8	no	—
1721	C₂×C₄	—	12	4	no	—
1722	C₂×C₄	—	12	4	no	—
1723	C₂×C₄	—	12	4	no	—
1724	C₂×C₄	—	12	4	no	—
1725	C₂×C₄	—	12	8	no	—
1726	C₂×C₄	—	12	2	no	—
1727	C₂×C₄	—	12	2	no	—
1728	C₂×C₄	—	12	4	no	—
1729	C₂×C₄	—	12	8	no	—
1730	C₂×C₄	—	12	8	no	—
1731	C₂×C₄	D₃×#41	1	4	yes	complemented
1732	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1733	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1734	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1735	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1736	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1737	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1738	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1739	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1740	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1741	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1742	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1743	C₂×C₃	—	2	2	no	—
1744	C₂×C₃	—	4	8	no	—
1745	C₂×C₃	—	4	2	no	—
1746	C₂×C₃	C₂³×#41	1	1	yes	characteristic
1747	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1748	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1749	D₃	—	2	4	no	—
1750	D₃	—	2	8	no	—
1751	D₃	—	4	2	no	—
1752	D₃	—	4	2	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	2	no	—
1756	C₂²	—	2	8	no	—
1757	C₂²	—	2	2	no	—
1758	C₂²	—	2	8	no	—
1759	C₂²	—	2	8	no	—
1760	C₂²	—	2	2	no	—
1761	C₂²	—	3	8	no	—
1762	C₂²	—	3	4	no	—
1763	C₂²	—	6	2	no	—
1764	C₂²	—	6	4	no	—
1765	C₂²	—	6	2	no	—
1766	C₂²	—	6	4	no	—
1767	C₂²	—	6	2	no	—
1768	C₂²	—	6	2	no	—
1769	C₂²	—	6	2	no	—
1770	C₂²	—	6	2	no	—
1771	C₂²	—	6	2	no	—
1772	C₂²	—	6	2	no	—
1773	C₂²	—	8	8	no	—
1774	C₂²	—	12	8	no	—
1775	C₂²	—	12	8	no	—
1776	C₂²	—	12	32	no	—
1777	C₂²	—	24	16	no	—
1778	C₂²	—	24	8	no	—
1779	C₂²	C₂×D₃×#41	1	2	yes	—
1780	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1781	C₄	—	2	2	no	—
1782	C₄	—	2	2	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	4	no	—
1785	C₄	—	2	2	no	—
1786	C₄	—	2	1	no	—
1787	C₄	—	2	4	no	—
1788	C₄	—	2	1	no	—
1789	C₄	—	6	2	no	—
1790	C₄	—	6	2	no	—
1791	C₄	—	6	2	no	—
1792	C₄	—	6	2	no	—
1793	C₄	—	6	4	no	—
1794	C₄	—	6	4	no	—
1795	C₄	—	6	2	no	—
1796	C₄	—	6	4	no	—
1797	C₄	C₂×D₃×#41	1	2	yes	—
1798	C₄	C₂×D₃×#41	1	2	yes	—
1799	C₄	D₃×H(5,𝔽₂)	1	2	yes	—
1800	C₃	#62983	1	1	yes	characteristic, complemented, Sylow
1801	C₂	—	2	2	no	—
1802	C₂	—	4	8	no	—
1803	C₂	—	4	2	no	—
1804	C₂	—	6	4	no	—
1805	C₂	—	6	8	no	—
1806	C₂	—	12	2	no	—
1807	C₂	—	12	2	no	—
1808	C₂	C₂²×D₃×#41	1	1	yes	characteristic
1809	C₂	C₂×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1810	C₂	#87568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3508	C₂
hypercenter	#3508	D₃
hypocenter	C₃	#62983
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3508

Complements

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

N	H ≅ G/N	type
1. C₃×#3508	C₂	semidirect
2. #87054	C₂	semidirect
3. #87053	C₂	semidirect
4. #87050	C₂	semidirect
5. #86775	C₂	semidirect
6. #86775	C₂	semidirect
7. #86766	C₂	semidirect
8. #86666	C₂	semidirect
9. #86664	C₂	semidirect
10. D₃×#546	C₂	semidirect
11. #86488	C₂	semidirect
12. #86487	C₂	semidirect
13. #86332	C₂	semidirect
14. #86330	C₂	semidirect
15. #86280	C₂	semidirect
16. #86276	C₂	semidirect
17. #86247	C₂	semidirect
18. #86246	C₂	semidirect
19. #86239	C₂	semidirect
20. #86238	C₂	semidirect
21. C₂×#5717	C₂	semidirect
22. #86190	C₂	semidirect
23. #85869	C₂	semidirect
24. D₃×#518	C₂	semidirect
25. #85840	C₂	semidirect
26. C₄×#1009	C₂	semidirect
29. C₂×D₃×#41	C₂²	semidirect
31. C₂²×D₃×D₄	C₂²	semidirect
32. C₃×#559	C₂²	semidirect
33. C₃×#559	C₂²	semidirect
34. C₃×#550	C₂²	semidirect
35. C₃×#550	C₂²	semidirect
36. C₃×#546	C₂²	semidirect
37. C₃×#546	C₂²	semidirect
38. C₃×#540	C₂²	semidirect
39. C₃×#535	C₂²	semidirect
40. C₃×#533	C₂²	semidirect
41. C₃×#532	C₂²	semidirect
42. C₃×#532	C₂²	semidirect
43. C₂×C₃×#127	C₂²	semidirect
44. C₃×#518	C₂²	semidirect
45. C₃×C₄×#41	C₂²	semidirect
46. #5831	C₂²	semidirect
47. #5829	C₂²	semidirect
48. #5829	C₂²	semidirect
49. #5828	C₂²	semidirect
50. #5828	C₂²	semidirect
51. #5828	C₂²	semidirect
52. #5827	C₂²	semidirect
53. #5806	C₂²	semidirect
54. #5806	C₂²	semidirect
55. #5805	C₂²	semidirect
56. C₂×#938	C₂²	semidirect
57. C₂×#938	C₂²	semidirect
58. C₂×#937	C₂²	semidirect
59. #5798	C₂²	semidirect
60. #5734	C₂²	semidirect
61. #5732	C₂²	semidirect
62. #5730	C₂²	semidirect
63. #5730	C₂²	semidirect
64. #5727	C₂²	semidirect
65. #5726	C₂²	semidirect
66. #5719	C₂²	semidirect
67. #5719	C₂²	semidirect
68. #5718	C₂²	semidirect
69. #5718	C₂²	semidirect
70. #5717	C₂²	semidirect
71. #5717	C₂²	semidirect
72. #5717	C₂²	semidirect
73. #5717	C₂²	semidirect
74. #5717	C₂²	semidirect
75. #5717	C₂²	semidirect
76. #5717	C₂²	semidirect
77. #5717	C₂²	semidirect
78. #5716	C₂²	semidirect
79. #5716	C₂²	semidirect
80. #5716	C₂²	semidirect
81. #5713	C₂²	semidirect
82. #5713	C₂²	semidirect
83. #5695	C₂²	semidirect
84. #5694	C₂²	semidirect
85. #5690	C₂²	semidirect
86. #5682	C₂²	semidirect
87. #5680	C₂²	semidirect
88. #5680	C₂²	semidirect
89. #5679	C₂²	semidirect
90. #5678	C₂²	semidirect
91. #5677	C₂²	semidirect
92. #5676	C₂²	semidirect
93. #5676	C₂²	semidirect
94. #5676	C₂²	semidirect
95. D₃×#124	C₂²	semidirect
96. #5661	C₂²	semidirect
97. #5660	C₂²	semidirect
98. #5659	C₂²	semidirect
99. #5658	C₂²	semidirect
100. #5657	C₂²	semidirect
101. #5656	C₂²	semidirect
102. #5654	C₂²	semidirect
103. D₃×#123	C₂²	semidirect
104. #5642	C₂²	semidirect
105. #5637	C₂²	semidirect
106. #5634	C₂²	semidirect
107. #5630	C₂²	semidirect
108. D₃×C₂²⋊Q₈	C₂²	semidirect
109. #5618	C₂²	semidirect
110. #5616	C₂²	semidirect
111. #5614	C₂²	semidirect
112. #5614	C₂²	semidirect
113. #5614	C₂²	semidirect
114. #5613	C₂²	semidirect
115. #5613	C₂²	semidirect
116. #5613	C₂²	semidirect
117. #5612	C₂²	semidirect
118. #5612	C₂²	semidirect
119. #5612	C₂²	semidirect
120. #5612	C₂²	semidirect
121. #5611	C₂²	semidirect
122. #5610	C₂²	semidirect
123. #5610	C₂²	semidirect
124. #5610	C₂²	semidirect
125. #5609	C₂²	semidirect
126. #5609	C₂²	semidirect
127. #5606	C₂²	semidirect
128. #5606	C₂²	semidirect
129. D₃×#121	C₂²	semidirect
130. D₃×#121	C₂²	semidirect
131. #5591	C₂²	semidirect
132. #5589	C₂²	semidirect
133. D₃×#120	C₂²	semidirect
134. #5587	C₂²	semidirect
135. #5584	C₂²	semidirect
136. #5581	C₂²	semidirect
137. #5580	C₂²	semidirect
138. #5580	C₂²	semidirect
139. #5579	C₂²	semidirect
140. #5579	C₂²	semidirect
141. #5579	C₂²	semidirect
142. Q₈×D₁₂	C₂²	semidirect
143. #5574	C₂²	semidirect
144. C₄×#239	C₂²	semidirect
145. C₄×#239	C₂²	semidirect
146. #5563	C₂²	semidirect
147. #5563	C₂²	semidirect
148. #5562	C₂²	semidirect
149. #5561	C₂²	semidirect
150. #5558	C₂²	semidirect
151. #5558	C₂²	semidirect
152. #5558	C₂²	semidirect
153. #5558	C₂²	semidirect
154. #5557	C₂²	semidirect
155. #5557	C₂²	semidirect
156. #5556	C₂²	semidirect
157. #5556	C₂²	semidirect
158. #5554	C₂²	semidirect
159. #5551	C₂²	semidirect
160. #5551	C₂²	semidirect
161. #5550	C₂²	semidirect
162. #5548	C₂²	semidirect
163. #5547	C₂²	semidirect
164. #5545	C₂²	semidirect
165. #5545	C₂²	semidirect
166. #5545	C₂²	semidirect
167. #5545	C₂²	semidirect
168. #5545	C₂²	semidirect
169. #5545	C₂²	semidirect
170. C₄×D₃×D₄	C₂²	semidirect
171. C₄×D₃×D₄	C₂²	semidirect
172. C₄×D₃×D₄	C₂²	semidirect
173. C₄×D₃×D₄	C₂²	semidirect
174. C₄×D₃×D₄	C₂²	semidirect
175. C₄×D₃×D₄	C₂²	semidirect
176. C₄×D₃×D₄	C₂²	semidirect
177. #5541	C₂²	semidirect
178. #5528	C₂²	semidirect
179. #5524	C₂²	semidirect
180. #5523	C₂²	semidirect
181. #5523	C₂²	semidirect
184. #5521	C₂²	semidirect
185. D₃×#117	C₂²	semidirect
186. D₃×#117	C₂²	semidirect
187. #5519	C₂²	semidirect
188. #5495	C₂²	semidirect
189. #5490	C₂²	semidirect
190. #5486	C₂²	semidirect
191. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
192. #5479	C₂²	semidirect
193. C₄×#235	C₂²	semidirect
194. C₄×#235	C₂²	semidirect
195. C₄×#235	C₂²	semidirect
197. C₂×C₄×D₁₂	C₂²	semidirect
198. C₂×C₄×D₁₂	C₂²	semidirect
199. #5470	C₂²	semidirect
209. #3508	D₃	semidirect
228. C₂×C₃×#41	C₂³	semidirect
229. C₂×C₃×#41	C₂³	semidirect
239. C₂×D₃×Q₈	C₂³	semidirect
240. C₂×#237	C₂³	semidirect
241. C₂×#237	C₂³	semidirect
242. C₂×#237	C₂³	semidirect
254. C₂×D₃×D₄	C₂³	semidirect
255. C₂×D₃×D₄	C₂³	semidirect
259. C₂×#235	C₂³	semidirect
265. C₂²×C₄×D₃	C₂³	semidirect
266. C₂²×C₄×D₃	C₂³	semidirect
267. C₂²×C₄×D₃	C₂³	semidirect
268. C₃×C₄⋊Q₈	C₂³	semidirect
269. C₃×C₄⋊Q₈	C₂³	semidirect
274. C₃×#127	C₂³	semidirect
275. C₃×#125	C₂³	semidirect
276. C₃×#124	C₂³	semidirect
277. C₃×#124	C₂³	semidirect
278. C₃×#124	C₂³	semidirect
279. C₃×#123	C₂³	semidirect
280. C₃×#123	C₂³	semidirect
283. C₃×#121	C₂³	semidirect
284. C₃×#121	C₂³	semidirect
285. C₃×#121	C₂³	semidirect
286. C₃×#121	C₂³	semidirect
287. C₃×#121	C₂³	semidirect
288. C₃×#121	C₂³	semidirect
290. C₃×C₄×Q₈	C₂³	semidirect
291. C₃×C₄×Q₈	C₂³	semidirect
292. C₃×C₄×Q₈	C₂³	semidirect
293. C₃×C₄×Q₈	C₂³	semidirect
296. C₃×C₄×D₄	C₂³	semidirect
297. C₃×C₄×D₄	C₂³	semidirect
298. C₃×C₄×D₄	C₂³	semidirect
299. C₃×C₄×D₄	C₂³	semidirect
300. C₃×C₄×D₄	C₂³	semidirect
301. C₃×C₄×D₄	C₂³	semidirect
302. C₃×C₄×D₄	C₂³	semidirect
303. C₃×C₄×D₄	C₂³	semidirect
306. C₃×#117	C₂³	semidirect
309. C₂×C₃×C₄²	C₂³	semidirect
314. #947	C₂³	semidirect
315. #946	C₂³	semidirect
316. #946	C₂³	semidirect
317. #946	C₂³	semidirect
318. #946	C₂³	semidirect
319. #946	C₂³	semidirect
320. #946	C₂³	semidirect
321. Q₈×Dic₃	C₂³	semidirect
322. Q₈×Dic₃	C₂³	semidirect
323. #940	C₂³	semidirect
324. #939	C₂³	semidirect
325. #939	C₂³	semidirect
326. #939	C₂³	semidirect
327. #939	C₂³	semidirect
335. #938	C₂³	semidirect
336. #938	C₂³	semidirect
337. #938	C₂³	semidirect
338. #938	C₂³	semidirect
339. #938	C₂³	semidirect
340. #938	C₂³	semidirect
341. #938	C₂³	semidirect
342. #938	C₂³	semidirect
343. #938	C₂³	semidirect
349. #937	C₂³	semidirect
350. #937	C₂³	semidirect
351. #937	C₂³	semidirect
352. #937	C₂³	semidirect
353. #936	C₂³	semidirect
354. #936	C₂³	semidirect
355. #936	C₂³	semidirect
356. #936	C₂³	semidirect
358. #935	C₂³	semidirect
359. #935	C₂³	semidirect
360. #935	C₂³	semidirect
361. #935	C₂³	semidirect
363. D₄×Dic₃	C₂³	semidirect
364. D₄×Dic₃	C₂³	semidirect
365. D₄×Dic₃	C₂³	semidirect
366. D₄×Dic₃	C₂³	semidirect
367. D₄×Dic₃	C₂³	semidirect
368. D₄×Dic₃	C₂³	semidirect
369. D₄×Dic₃	C₂³	semidirect
370. D₄×Dic₃	C₂³	semidirect
372. #930	C₂³	semidirect
373. #929	C₂³	semidirect
374. #929	C₂³	semidirect
375. #929	C₂³	semidirect
378. C₄×#67	C₂³	semidirect
379. C₄×#67	C₂³	semidirect
380. C₄×#67	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
386. C₄×#67	C₂³	semidirect
387. C₄×#67	C₂³	semidirect
388. C₄×#67	C₂³	semidirect
391. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
392. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
393. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
396. #926	C₂³	semidirect
397. #926	C₂³	semidirect
398. #926	C₂³	semidirect
401. C₂×C₄⋊Dic₃	C₂³	semidirect
404. #924	C₂³	semidirect
405. #924	C₂³	semidirect
406. #898	C₂³	semidirect
407. #898	C₂³	semidirect
408. #898	C₂³	semidirect
409. #898	C₂³	semidirect
410. #897	C₂³	semidirect
411. #897	C₂³	semidirect
412. #897	C₂³	semidirect
413. #897	C₂³	semidirect
414. #896	C₂³	semidirect
415. #896	C₂³	semidirect
416. #896	C₂³	semidirect
417. #896	C₂³	semidirect
420. #895	C₂³	semidirect
421. #895	C₂³	semidirect
424. #894	C₂³	semidirect
425. #894	C₂³	semidirect
431. #893	C₂³	semidirect
432. #893	C₂³	semidirect
433. #893	C₂³	semidirect
434. #892	C₂³	semidirect
435. #892	C₂³	semidirect
436. #892	C₂³	semidirect
437. #892	C₂³	semidirect
438. #892	C₂³	semidirect
439. #892	C₂³	semidirect
440. #892	C₂³	semidirect
441. #892	C₂³	semidirect
442. D₃×C₄⋊C₄	C₂³	semidirect
443. D₃×C₄⋊C₄	C₂³	semidirect
444. D₃×C₄⋊C₄	C₂³	semidirect
445. D₃×C₄⋊C₄	C₂³	semidirect
446. D₃×C₄⋊C₄	C₂³	semidirect
447. D₃×C₄⋊C₄	C₂³	semidirect
448. D₃×C₄⋊C₄	C₂³	semidirect
449. D₃×C₄⋊C₄	C₂³	semidirect
450. #890	C₂³	semidirect
451. #890	C₂³	semidirect
452. #890	C₂³	semidirect
453. #889	C₂³	semidirect
454. #888	C₂³	semidirect
456. #886	C₂³	semidirect
457. #885	C₂³	semidirect
458. #885	C₂³	semidirect
459. #885	C₂³	semidirect
460. #885	C₂³	semidirect
462. #884	C₂³	semidirect
463. #884	C₂³	semidirect
464. #884	C₂³	semidirect
465. #884	C₂³	semidirect
466. #883	C₂³	semidirect
467. #883	C₂³	semidirect
468. #883	C₂³	semidirect
469. #883	C₂³	semidirect
470. #883	C₂³	semidirect
471. #883	C₂³	semidirect
473. #882	C₂³	semidirect
474. #882	C₂³	semidirect
476. #67⋊C₄	C₂³	semidirect
477. #67⋊C₄	C₂³	semidirect
478. #67⋊C₄	C₂³	semidirect
479. #67⋊C₄	C₂³	semidirect
480. #67⋊C₄	C₂³	semidirect
481. #67⋊C₄	C₂³	semidirect
482. #67⋊C₄	C₂³	semidirect
487. D₃×C₂²⋊C₄	C₂³	semidirect
488. D₃×C₂²⋊C₄	C₂³	semidirect
489. D₃×C₂²⋊C₄	C₂³	semidirect
490. D₃×C₂²⋊C₄	C₂³	semidirect
491. D₃×C₂²⋊C₄	C₂³	semidirect
492. D₃×C₂²⋊C₄	C₂³	semidirect
493. D₃×C₂²⋊C₄	C₂³	semidirect
494. D₃×C₂²⋊C₄	C₂³	semidirect
495. #879	C₂³	semidirect
496. #879	C₂³	semidirect
497. #879	C₂³	semidirect
498. #879	C₂³	semidirect
499. #879	C₂³	semidirect
501. #878	C₂³	semidirect
504. #877	C₂³	semidirect
505. #876	C₂³	semidirect
522. C₄×D₁₂	C₂³	semidirect
523. C₄×D₁₂	C₂³	semidirect
524. C₄×D₁₂	C₂³	semidirect
525. C₄×D₁₂	C₂³	semidirect
526. C₄×D₁₂	C₂³	semidirect
527. C₄×D₁₂	C₂³	semidirect
528. C₄×D₁₂	C₂³	semidirect
529. #872	C₂³	semidirect
530. #872	C₂³	semidirect
531. #872	C₂³	semidirect
532. #872	C₂³	semidirect
533. #872	C₂³	semidirect
534. C₄²×D₃	C₂³	semidirect
535. C₄²×D₃	C₂³	semidirect
536. C₄²×D₃	C₂³	semidirect
537. C₄²×D₃	C₂³	semidirect
538. #870	C₂³	semidirect
539. #870	C₂³	semidirect
540. #870	C₂³	semidirect
541. #869	C₂³	semidirect
542. #869	C₂³	semidirect
543. #869	C₂³	semidirect
544. C₄×Dic₆	C₂³	semidirect
545. C₄×Dic₆	C₂³	semidirect
546. C₄×Dic₆	C₂³	semidirect
547. C₄×Dic₆	C₂³	semidirect
548. C₄×Dic₆	C₂³	semidirect
549. C₄×Dic₆	C₂³	semidirect
556. #559	C₂×D₃	semidirect
557. #559	C₂×D₃	semidirect
594. #550	C₂×D₃	semidirect
595. #550	C₂×D₃	semidirect
624. #546	C₂×D₃	semidirect
625. #546	C₂×D₃	semidirect
643. #540	C₂×D₃	semidirect
651. #535	C₂×D₃	semidirect
654. #533	C₂×D₃	semidirect
659. #532	C₂×D₃	semidirect
660. #532	C₂×D₃	semidirect
661. C₂×#127	C₂×D₃	semidirect
702. #518	C₂×D₃	semidirect
708. C₄×#41	C₂×D₃	semidirect
798. C₂×D₁₂	#41	semidirect
947. C₂×#41	C₂²×D₃	semidirect
948. C₂×#41	C₂²×D₃	semidirect
980. C₄⋊Q₈	C₂²×D₃	semidirect
981. C₄⋊Q₈	C₂²×D₃	semidirect
987. #127	C₂²×D₃	semidirect
1005. #125	C₂²×D₃	semidirect
1017. #124	C₂²×D₃	semidirect
1018. #124	C₂²×D₃	semidirect
1019. #124	C₂²×D₃	semidirect
1040. #123	C₂²×D₃	semidirect
1041. #123	C₂²×D₃	semidirect
1095. #121	C₂²×D₃	semidirect
1096. #121	C₂²×D₃	semidirect
1097. #121	C₂²×D₃	semidirect
1098. #121	C₂²×D₃	semidirect
1099. #121	C₂²×D₃	semidirect
1100. #121	C₂²×D₃	semidirect
1123. C₄×Q₈	C₂²×D₃	semidirect
1124. C₄×Q₈	C₂²×D₃	semidirect
1125. C₄×Q₈	C₂²×D₃	semidirect
1126. C₄×Q₈	C₂²×D₃	semidirect
1189. C₄×D₄	C₂²×D₃	semidirect
1190. C₄×D₄	C₂²×D₃	semidirect
1191. C₄×D₄	C₂²×D₃	semidirect
1192. C₄×D₄	C₂²×D₃	semidirect
1193. C₄×D₄	C₂²×D₃	semidirect
1194. C₄×D₄	C₂²×D₃	semidirect
1195. C₄×D₄	C₂²×D₃	semidirect
1196. C₄×D₄	C₂²×D₃	semidirect
1220. #117	C₂²×D₃	semidirect
1257. C₂×C₄²	C₂²×D₃	semidirect
1279. C₂²×D₃	C₂×#41	semidirect
1304. C₂×C₃×C₄	C₂×#41	semidirect
1345. D₁₂	C₂×#41	semidirect
1346. D₁₂	C₂×#41	semidirect
1347. D₁₂	H(5,𝔽₂)	semidirect
1731. C₂×C₄	D₃×#41	semidirect
1800. C₃	#62983	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3508	2
#87054	2
#87053	2
#87050	2
#86775	2
#86766	2
#86666	2
#86664	2
D₃×#546	2
#86488	2
#86487	2
#86332	2
#86330	2
#86280	2
#86276	2
#86247	2
#86246	2
#86239	2
#86238	2
C₂×#5717	2
#86190	2
#85869	2
D₃×#518	2
#85840	2
C₄×#1009	2
#62983	3