Subgroups — #11707693

Order 768.

8808 conjugacy classes of subgroups.

The subgroup lattice has 1676 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	#87080	C₂	1	4	yes	maximal, complemented
3	#87071	C₂	1	4	yes	maximal, complemented
4	#87066	C₂	1	1	yes	maximal, characteristic, complemented
5	#87050	C₂	1	1	yes	maximal, characteristic, complemented
6	#86775	C₂	1	2	yes	maximal, complemented
7	#86770	C₂	1	2	yes	maximal, complemented
8	#86662	C₂	1	4	yes	maximal, complemented
9	#86640	C₂	1	4	yes	maximal, complemented
10	#86623	C₂	1	4	yes	maximal, complemented
11	D₃×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
12	D₃×D₄²	C₂	1	4	yes	maximal, complemented
13	#86617	C₂	1	1	yes	maximal, characteristic, complemented
14	#86491	C₂	1	4	yes	maximal, complemented
15	#86488	C₂	1	4	yes	maximal, complemented
16	#86336	C₂	1	4	yes	maximal, complemented
17	#86330	C₂	1	4	yes	maximal, complemented
18	#86310	C₂	1	4	yes	maximal, complemented
19	#86308	C₂	1	4	yes	maximal, complemented
20	#86195	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#5717	C₂	1	1	yes	maximal, characteristic, complemented
22	#86166	C₂	1	2	yes	maximal, complemented
23	#86153	C₂	1	2	yes	maximal, complemented
24	#63011	—	3	1	no	maximal, Sylow
25	C₂×#1009	C₂²	1	4	yes	complemented
26	C₂×#1004	C₂²	1	2	yes	complemented
27	C₂²×D₃×D₄	C₂²	1	4	yes	complemented
28	C₂²×D₃×D₄	C₂²	1	4	yes	complemented
29	C₂²×D₃×D₄	C₂²	1	4	yes	complemented
30	C₃×#560	C₂²	1	4	yes	complemented
31	C₃×#559	C₂²	1	1	yes	characteristic, complemented
32	C₃×#550	C₂²	1	2	yes	complemented
33	C₃×#546	C₂²	1	4	yes	complemented
34	C₃×D₄²	C₂²	1	4	yes	complemented
35	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
36	C₃×#540	C₂²	1	4	yes	complemented
37	C₃×#535	C₂²	1	4	yes	complemented
38	C₃×#534	C₂²	1	4	yes	complemented
39	C₂×C₃×#127	C₂²	1	1	yes	characteristic, complemented
40	C₃×#529	C₂²	1	2	yes	complemented
41	#5834	C₂²	1	4	yes	complemented
42	#5829	C₂²	1	4	yes	complemented
43	#5828	C₂²	1	4	yes	complemented
44	#5805	C₂²	1	2	yes	complemented
45	#5805	C₂²	1	4	yes	complemented
46	#5804	C₂²	1	4	yes	complemented
47	D₄×#67	C₂²	1	4	yes	complemented
48	D₄×#67	C₂²	1	8	yes	complemented
49	D₄×#67	C₂²	1	4	yes	complemented
50	D₄×#67	C₂²	1	4	yes	complemented
51	D₄×#67	C₂²	1	4	yes	complemented
52	C₂×#938	C₂²	1	4	yes	complemented
53	C₂×#937	C₂²	1	4	yes	complemented
54	#5719	C₂²	1	4	yes	complemented
55	#5718	C₂²	1	4	yes	complemented
56	#5717	C₂²	1	1	yes	characteristic, complemented
57	#5717	C₂²	1	4	yes	complemented
58	#5717	C₂²	1	4	yes	complemented
59	#5717	C₂²	1	2	yes	complemented
60	#5717	C₂²	1	4	yes	complemented
61	#5717	C₂²	1	4	yes	complemented
62	#5717	C₂²	1	1	yes	characteristic, complemented
63	#5717	C₂²	1	4	yes	complemented
64	#5717	C₂²	1	4	yes	complemented
65	#5716	C₂²	1	1	yes	characteristic, complemented
66	#5716	C₂²	1	1	yes	characteristic, complemented
67	#5715	C₂²	1	2	yes	complemented
68	#5715	C₂²	1	2	yes	complemented
69	D₃×#127	C₂²	1	4	yes	complemented
70	D₃×#127	C₂²	1	1	yes	characteristic, complemented
71	D₃×#127	C₂²	1	1	yes	characteristic, complemented
72	#5709	C₂²	1	4	yes	complemented
73	#5705	C₂²	1	4	yes	complemented
74	#5704	C₂²	1	8	yes	complemented
75	#5695	C₂²	1	2	yes	complemented
76	#5695	C₂²	1	4	yes	complemented
77	#5690	C₂²	1	2	yes	complemented
78	#5681	C₂²	1	2	yes	complemented
79	#5680	C₂²	1	4	yes	complemented
80	#5676	C₂²	1	4	yes	complemented
81	#5676	C₂²	1	2	yes	complemented
82	#5676	C₂²	1	4	yes	complemented
83	#5676	C₂²	1	4	yes	complemented
84	#5674	C₂²	1	4	yes	complemented
85	#5666	C₂²	1	4	yes	complemented
86	#5661	C₂²	1	8	yes	complemented
87	#5659	C₂²	1	4	yes	complemented
88	#5658	C₂²	1	4	yes	complemented
89	#5657	C₂²	1	8	yes	complemented
90	#5657	C₂²	1	8	yes	complemented
91	#5656	C₂²	1	4	yes	complemented
92	#5656	C₂²	1	4	yes	complemented
93	#5654	C₂²	1	4	yes	complemented
94	#5654	C₂²	1	8	yes	complemented
95	#5654	C₂²	1	8	yes	complemented
96	#5653	C₂²	1	4	yes	complemented
97	#5653	C₂²	1	8	yes	complemented
98	#5653	C₂²	1	4	yes	complemented
99	#5635	C₂²	1	2	yes	complemented
100	#5630	C₂²	1	2	yes	complemented
101	#5627	C₂²	1	4	yes	complemented
102	#5620	C₂²	1	8	yes	complemented
103	#5620	C₂²	1	8	yes	complemented
104	#5618	C₂²	1	2	yes	complemented
105	#5616	C₂²	1	4	yes	complemented
106	#5615	C₂²	1	8	yes	complemented
107	#5614	C₂²	1	4	yes	complemented
108	#5613	C₂²	1	8	yes	complemented
109	#5613	C₂²	1	8	yes	complemented
110	#5612	C₂²	1	8	yes	complemented
111	#5612	C₂²	1	8	yes	complemented
112	#5610	C₂²	1	8	yes	complemented
113	#5610	C₂²	1	8	yes	complemented
114	#5609	C₂²	1	2	yes	complemented
115	#5609	C₂²	1	8	yes	complemented
116	#5609	C₂²	1	4	yes	complemented
117	#5609	C₂²	1	4	yes	complemented
118	#5609	C₂²	1	8	yes	complemented
119	#5609	C₂²	1	8	yes	complemented
120	#5609	C₂²	1	8	yes	complemented
121	#5607	C₂²	1	8	yes	complemented
122	#5607	C₂²	1	4	yes	complemented
123	#5607	C₂²	1	4	yes	complemented
124	#5605	C₂²	1	8	yes	complemented
125	D₃×#121	C₂²	1	8	yes	complemented
126	D₃×#121	C₂²	1	4	yes	complemented
127	D₃×#121	C₂²	1	4	yes	complemented
128	D₃×#121	C₂²	1	4	yes	complemented
129	#5595	C₂²	1	8	yes	complemented
130	#5594	C₂²	1	4	yes	complemented
131	#5593	C₂²	1	8	yes	complemented
132	#5592	C₂²	1	4	yes	complemented
133	#5592	C₂²	1	4	yes	complemented
134	#5590	C₂²	1	8	yes	complemented
135	#5590	C₂²	1	8	yes	complemented
136	#5590	C₂²	1	4	yes	complemented
137	#5590	C₂²	1	8	yes	complemented
138	#5589	C₂²	1	8	yes	complemented
139	#5589	C₂²	1	8	yes	complemented
140	D₃×#120	C₂²	1	8	yes	complemented
141	D₃×#120	C₂²	1	4	yes	complemented
142	D₃×#120	C₂²	1	8	yes	complemented
143	D₃×#120	C₂²	1	4	yes	complemented
144	#5580	C₂²	1	2	yes	complemented
145	#5579	C₂²	1	2	yes	complemented
146	#5577	C₂²	1	2	yes	complemented
147	C₄×#239	C₂²	1	2	yes	complemented
148	#5565	C₂²	1	4	yes	complemented
149	#5563	C₂²	1	2	yes	complemented
150	#5562	C₂²	1	4	yes	complemented
151	#5558	C₂²	1	4	yes	complemented
152	#5558	C₂²	1	4	yes	complemented
153	D₄×D₁₂	C₂²	1	4	yes	complemented
154	D₄×D₁₂	C₂²	1	2	yes	complemented
155	D₄×D₁₂	C₂²	1	4	yes	complemented
156	D₄×D₁₂	C₂²	1	4	yes	complemented
157	#5548	C₂²	1	2	yes	complemented
158	#5548	C₂²	1	4	yes	complemented
159	#5547	C₂²	1	4	yes	complemented
160	#5545	C₂²	1	4	yes	complemented
161	C₄×D₃×D₄	C₂²	1	4	yes	complemented
162	C₄×D₃×D₄	C₂²	1	2	yes	complemented
163	C₄×D₃×D₄	C₂²	1	4	yes	complemented
164	#5535	C₂²	1	4	yes	complemented
165	#5528	C₂²	1	4	yes	complemented
166	#5524	C₂²	1	4	yes	complemented
167	#5521	C₂²	1	4	yes	complemented
168	#5490	C₂²	1	8	yes	complemented
169	C₂×#882	C₂²	1	4	yes	complemented
170	#5486	C₂²	1	4	yes	complemented
171	#5477	C₂²	1	1	yes	characteristic, complemented
172	C₄×#235	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄×D₁₂	C₂²	1	2	yes	complemented
174	#3549	—	3	1	no	—
175	#3543	—	3	1	no	—
176	#3543	—	3	4	no	—
177	#3543	D₃	1	1	yes	characteristic, complemented
178	#3537	—	3	4	no	—
179	#3537	—	3	4	no	—
180	#3537	—	3	4	no	—
181	#3532	—	3	4	no	—
182	#3532	—	3	4	no	—
183	#3519	—	3	2	no	—
184	#3519	—	3	4	no	—
185	#3519	—	3	4	no	—
186	#3519	—	3	2	no	—
187	#3498	—	3	2	no	—
188	#3498	—	3	1	no	—
189	#3484	—	3	4	no	—
190	#3484	—	3	4	no	—
191	#3484	—	3	4	no	—
192	#3481	—	3	1	no	—
193	#3481	—	3	2	no	—
194	C₂×D₄²	—	3	4	no	—
195	C₂×D₄²	—	3	1	no	—
196	C₂×D₄²	—	3	1	no	—
197	C₂⁴×D₃	C₂³	1	4	yes	complemented
198	C₂⁴×D₃	C₂³	1	4	yes	complemented
199	C₂×C₃×#41	C₂³	1	4	yes	complemented
200	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
201	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
202	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
203	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
204	C₂²×#67	C₂³	1	4	yes	—
205	C₂²×#67	C₂³	1	8	yes	complemented
206	C₂²×#67	C₂³	1	8	yes	complemented
207	C₂²×#67	C₂³	1	4	yes	complemented
208	C₂²×#67	C₂³	1	4	yes	complemented
209	#1009	—	4	16	no	—
210	C₂×#239	C₂³	1	2	yes	—
211	C₂×#239	C₂³	1	4	yes	complemented
212	#1004	—	4	8	no	—
213	C₂×#237	C₂³	1	2	yes	complemented
214	C₂×#237	C₂³	1	4	yes	complemented
215	C₂×#237	C₂³	1	2	yes	complemented
216	C₂×D₃×D₄	—	4	16	no	—
217	C₂×D₃×D₄	—	4	16	no	—
218	C₂×D₃×D₄	—	4	16	no	—
219	C₂×D₃×D₄	C₂³	1	4	yes	—
220	C₂×D₃×D₄	C₂³	1	4	yes	—
221	C₂×D₃×D₄	C₂³	1	2	yes	—
222	C₂×D₃×D₄	C₂³	1	4	yes	—
223	C₂×D₃×D₄	C₂³	1	2	yes	complemented
224	C₂×D₃×D₄	C₂³	1	8	yes	complemented
225	C₂×D₃×D₄	C₂³	1	4	yes	complemented
226	C₂×D₃×D₄	C₂³	1	8	yes	complemented
227	C₂×D₃×D₄	C₂³	1	8	yes	complemented
228	C₂×D₃×D₄	C₂³	1	4	yes	complemented
229	C₂×D₃×D₄	C₂³	1	4	yes	complemented
230	C₂×D₃×D₄	C₂³	1	4	yes	complemented
231	C₂×D₃×D₄	C₂³	1	4	yes	complemented
232	C₂×D₃×D₄	C₂³	1	8	yes	complemented
233	C₂×D₃×D₄	C₂³	1	8	yes	complemented
234	C₂×D₃×D₄	C₂³	1	8	yes	complemented
235	C₂×D₃×D₄	C₂³	1	8	yes	complemented
236	C₂×D₃×D₄	C₂³	1	2	yes	complemented
237	C₂×D₃×D₄	C₂³	1	4	yes	complemented
238	C₂×D₃×D₄	C₂³	1	8	yes	complemented
239	C₂×D₃×D₄	C₂³	1	8	yes	complemented
240	C₂×#235	C₂³	1	1	yes	characteristic
241	C₂×#235	C₂³	1	2	yes	complemented
242	C₂×#235	C₂³	1	8	yes	complemented
243	C₂×#235	C₂³	1	4	yes	complemented
244	C₂²×D₁₂	C₂³	1	2	yes	—
245	C₂²×D₁₂	C₂³	1	4	yes	—
246	C₂²×D₁₂	C₂³	1	4	yes	complemented
247	C₂²×D₁₂	C₂³	1	8	yes	complemented
248	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
249	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
250	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
251	C₃×#127	C₂³	1	1	yes	characteristic
252	C₃×#127	C₂³	1	2	yes	complemented
253	C₃×#127	C₂³	1	1	yes	characteristic, complemented
254	C₃×#127	C₂³	1	4	yes	complemented
255	C₃×#127	C₂³	1	4	yes	complemented
256	C₃×#126	C₂³	1	4	yes	complemented
257	C₃×#125	C₂³	1	2	yes	complemented
258	C₃×#124	C₂³	1	4	yes	complemented
259	C₃×#124	C₂³	1	2	yes	complemented
260	C₃×#123	C₂³	1	4	yes	complemented
261	C₃×#123	C₂³	1	8	yes	complemented
262	C₃×#123	C₂³	1	4	yes	complemented
263	C₃×#123	C₂³	1	4	yes	complemented
264	C₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
265	C₃×#121	C₂³	1	2	yes	—
266	C₃×#121	C₂³	1	8	yes	complemented
267	C₃×#121	C₂³	1	8	yes	complemented
268	C₃×#121	C₂³	1	8	yes	complemented
269	C₃×#121	C₂³	1	4	yes	complemented
270	C₃×#121	C₂³	1	4	yes	complemented
271	C₃×#121	C₂³	1	8	yes	complemented
272	C₃×#120	C₂³	1	8	yes	complemented
273	C₃×#120	C₂³	1	4	yes	complemented
274	C₃×#120	C₂³	1	4	yes	complemented
275	C₃×#120	C₂³	1	8	yes	complemented
276	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
277	C₃×C₄×D₄	C₂³	1	4	yes	complemented
278	C₃×C₄×D₄	C₂³	1	4	yes	complemented
279	C₃×C₄×D₄	C₂³	1	2	yes	complemented
280	C₃×C₄×D₄	C₂³	1	4	yes	complemented
281	C₃×#117	C₂³	1	4	yes	complemented
282	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
283	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
284	#953	C₂³	1	8	yes	complemented
285	#953	C₂³	1	4	yes	complemented
286	#953	C₂³	1	8	yes	complemented
287	#953	C₂³	1	4	yes	complemented
288	C₂×#217	C₂³	1	4	yes	complemented
289	#947	C₂³	1	2	yes	complemented
290	#946	C₂³	1	2	yes	complemented
291	#946	C₂³	1	4	yes	complemented
292	Q₈×Dic₃	C₂³	1	2	yes	complemented
293	#940	C₂³	1	2	yes	—
294	#940	C₂³	1	2	yes	complemented
295	#940	C₂³	1	4	yes	complemented
296	#940	C₂³	1	4	yes	complemented
297	#940	C₂³	1	2	yes	complemented
298	#940	C₂³	1	8	yes	complemented
299	#940	C₂³	1	8	yes	complemented
300	#940	C₂³	1	8	yes	complemented
301	#939	C₂³	1	8	yes	complemented
302	#939	C₂³	1	8	yes	complemented
303	#939	C₂³	1	4	yes	complemented
304	#939	C₂³	1	8	yes	complemented
305	#939	C₂³	1	8	yes	complemented
306	#939	C₂³	1	8	yes	complemented
307	#939	C₂³	1	8	yes	complemented
308	#939	C₂³	1	8	yes	complemented
309	#938	C₂³	1	4	yes	—
310	#938	C₂³	1	8	yes	complemented
311	#938	C₂³	1	8	yes	complemented
312	#938	C₂³	1	8	yes	complemented
313	#938	C₂³	1	4	yes	complemented
314	#938	C₂³	1	4	yes	complemented
315	#938	C₂³	1	2	yes	complemented
316	#938	C₂³	1	4	yes	complemented
317	#938	C₂³	1	4	yes	complemented
318	#938	C₂³	1	4	yes	complemented
319	#938	C₂³	1	4	yes	complemented
320	#938	C₂³	1	8	yes	complemented
321	#938	C₂³	1	8	yes	complemented
322	#937	C₂³	1	4	yes	—
323	#937	C₂³	1	4	yes	—
324	#937	C₂³	1	4	yes	complemented
325	#937	C₂³	1	8	yes	complemented
326	#937	C₂³	1	4	yes	complemented
327	#937	C₂³	1	4	yes	complemented
328	#937	C₂³	1	8	yes	complemented
329	#937	C₂³	1	8	yes	complemented
330	#937	C₂³	1	8	yes	complemented
331	#937	C₂³	1	8	yes	complemented
332	#937	C₂³	1	8	yes	complemented
333	#937	C₂³	1	8	yes	complemented
334	#937	C₂³	1	8	yes	complemented
335	#937	C₂³	1	8	yes	complemented
336	#937	C₂³	1	8	yes	complemented
337	#936	C₂³	1	2	yes	complemented
338	#936	C₂³	1	2	yes	complemented
339	#936	C₂³	1	8	yes	complemented
340	#935	C₂³	1	8	yes	complemented
341	#935	C₂³	1	8	yes	complemented
342	D₄×Dic₃	C₂³	1	4	yes	complemented
343	D₄×Dic₃	C₂³	1	4	yes	complemented
344	D₄×Dic₃	C₂³	1	2	yes	complemented
345	D₄×Dic₃	C₂³	1	4	yes	complemented
346	#930	C₂³	1	8	yes	complemented
347	#930	C₂³	1	8	yes	complemented
348	#930	C₂³	1	4	yes	complemented
349	#930	C₂³	1	4	yes	complemented
350	#930	C₂³	1	4	yes	complemented
351	#929	C₂³	1	4	yes	complemented
352	#929	C₂³	1	4	yes	complemented
353	#929	C₂³	1	8	yes	complemented
354	C₄×#67	C₂³	1	2	yes	—
355	C₄×#67	C₂³	1	8	yes	complemented
356	C₄×#67	C₂³	1	8	yes	complemented
357	C₄×#67	C₂³	1	8	yes	complemented
358	C₄×#67	C₂³	1	8	yes	complemented
359	C₄×#67	C₂³	1	2	yes	complemented
360	C₄×#67	C₂³	1	4	yes	complemented
361	C₄×#67	C₂³	1	4	yes	complemented
362	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
363	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
364	#926	C₂³	1	1	yes	characteristic, complemented
365	#926	C₂³	1	4	yes	complemented
366	C₂×C₄⋊Dic₃	C₂³	1	2	yes	complemented
367	#898	C₂³	1	4	yes	complemented
368	#898	C₂³	1	8	yes	complemented
369	#898	C₂³	1	4	yes	complemented
370	#897	C₂³	1	4	yes	complemented
371	#897	C₂³	1	4	yes	complemented
372	#896	C₂³	1	4	yes	complemented
373	#896	C₂³	1	4	yes	complemented
374	#896	C₂³	1	8	yes	complemented
375	#895	C₂³	1	2	yes	—
376	#895	C₂³	1	4	yes	complemented
377	#895	C₂³	1	4	yes	complemented
378	#895	C₂³	1	8	yes	complemented
379	#895	C₂³	1	8	yes	complemented
380	#895	C₂³	1	4	yes	complemented
381	#895	C₂³	1	2	yes	complemented
382	#895	C₂³	1	4	yes	complemented
383	#894	C₂³	1	4	yes	complemented
384	#894	C₂³	1	4	yes	complemented
385	#894	C₂³	1	8	yes	complemented
386	#894	C₂³	1	8	yes	complemented
387	#894	C₂³	1	4	yes	complemented
388	#893	C₂³	1	2	yes	—
389	#893	C₂³	1	2	yes	—
390	#893	C₂³	1	4	yes	complemented
391	#893	C₂³	1	8	yes	complemented
392	#893	C₂³	1	8	yes	complemented
393	#893	C₂³	1	4	yes	complemented
394	#892	C₂³	1	4	yes	complemented
395	#892	C₂³	1	4	yes	complemented
396	#892	C₂³	1	2	yes	complemented
397	D₃×C₄⋊C₄	C₂³	1	2	yes	complemented
398	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
399	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
400	#890	C₂³	1	2	yes	complemented
401	#889	C₂³	1	4	yes	complemented
402	#888	C₂³	1	2	yes	complemented
403	#886	C₂³	1	4	yes	complemented
404	#886	C₂³	1	4	yes	complemented
405	#885	C₂³	1	8	yes	complemented
406	#885	C₂³	1	4	yes	complemented
407	#885	C₂³	1	8	yes	complemented
408	#885	C₂³	1	8	yes	complemented
409	#885	C₂³	1	4	yes	complemented
410	#884	C₂³	1	4	yes	—
411	#884	C₂³	1	8	yes	complemented
412	#884	C₂³	1	8	yes	complemented
413	#884	C₂³	1	8	yes	complemented
414	#884	C₂³	1	8	yes	complemented
415	#884	C₂³	1	8	yes	complemented
416	#884	C₂³	1	4	yes	complemented
417	#884	C₂³	1	8	yes	complemented
418	#884	C₂³	1	8	yes	complemented
419	#884	C₂³	1	4	yes	complemented
420	#884	C₂³	1	8	yes	complemented
421	#883	C₂³	1	4	yes	complemented
422	#883	C₂³	1	8	yes	complemented
423	#883	C₂³	1	8	yes	complemented
424	#883	C₂³	1	8	yes	complemented
425	#883	C₂³	1	4	yes	complemented
426	#882	C₂³	1	4	yes	—
427	#882	C₂³	1	4	yes	complemented
428	#882	C₂³	1	8	yes	complemented
429	#882	C₂³	1	8	yes	complemented
430	#882	C₂³	1	8	yes	complemented
431	#882	C₂³	1	4	yes	complemented
432	#882	C₂³	1	4	yes	complemented
433	#882	C₂³	1	8	yes	complemented
434	#882	C₂³	1	4	yes	complemented
435	#882	C₂³	1	8	yes	complemented
436	#882	C₂³	1	4	yes	complemented
437	#882	C₂³	1	8	yes	complemented
438	#882	C₂³	1	4	yes	complemented
439	#882	C₂³	1	8	yes	complemented
440	#67⋊C₄	C₂³	1	4	yes	—
441	#67⋊C₄	C₂³	1	8	yes	complemented
442	#67⋊C₄	C₂³	1	8	yes	complemented
443	#67⋊C₄	C₂³	1	8	yes	complemented
444	#67⋊C₄	C₂³	1	4	yes	complemented
445	#67⋊C₄	C₂³	1	4	yes	complemented
446	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
447	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
448	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
449	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
450	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
451	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
452	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
453	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
454	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
455	#879	C₂³	1	8	yes	complemented
456	#879	C₂³	1	8	yes	complemented
457	#879	C₂³	1	4	yes	complemented
458	#878	C₂³	1	4	yes	complemented
459	#877	C₂³	1	4	yes	complemented
460	#877	C₂³	1	4	yes	complemented
461	#875	C₂³	1	2	yes	complemented
462	#874	C₂³	1	4	yes	complemented
463	#874	C₂³	1	1	yes	characteristic, complemented
464	C₄×D₁₂	C₂³	1	2	yes	—
465	C₄×D₁₂	C₂³	1	4	yes	—
466	C₄×D₁₂	C₂³	1	2	yes	—
467	C₄×D₁₂	C₂³	1	4	yes	complemented
468	C₄×D₁₂	C₂³	1	2	yes	complemented
469	C₄×D₁₂	C₂³	1	4	yes	complemented
470	C₄×D₁₂	C₂³	1	4	yes	complemented
471	C₄×D₁₂	C₂³	1	4	yes	complemented
472	C₄×D₁₂	C₂³	1	4	yes	complemented
473	C₄×D₁₂	C₂³	1	2	yes	complemented
474	C₄×D₁₂	C₂³	1	4	yes	complemented
475	C₄×D₁₂	C₂³	1	2	yes	complemented
476	#872	C₂³	1	4	yes	complemented
477	#872	C₂³	1	1	yes	characteristic, complemented
478	#872	C₂³	1	1	yes	characteristic, complemented
479	C₄²×D₃	C₂³	1	4	yes	complemented
480	C₄²×D₃	C₂³	1	1	yes	characteristic, complemented
481	C₄²×D₃	C₂³	1	1	yes	characteristic, complemented
482	#870	C₂³	1	4	yes	complemented
483	#869	C₂³	1	1	yes	characteristic, complemented
484	C₄×Dic₆	C₂³	1	2	yes	complemented
485	C₂×H(5,𝔽₂)	—	3	4	no	—
486	C₂×H(5,𝔽₂)	—	3	2	no	—
487	C₂³×D₄	—	3	4	no	—
488	C₂³×D₄	—	3	4	no	—
489	C₂³×D₄	—	3	4	no	—
490	H(3,𝔽₄)	—	3	4	no	—
491	#560	—	3	4	no	—
492	#560	—	3	8	no	—
493	#560	—	3	8	no	—
494	#560	—	3	8	no	—
495	#560	C₂×D₃	1	4	yes	complemented
496	#559	—	3	2	no	—
497	#559	C₂×D₃	1	1	yes	characteristic, complemented
498	#555	—	3	4	no	—
499	#555	—	3	2	no	—
500	#554	—	3	2	no	—
501	#554	—	3	2	no	—
502	#554	—	3	2	no	—
503	#553	—	3	4	no	—
504	#553	—	3	2	no	—
505	#553	—	3	4	no	—
506	#553	—	3	8	no	—
507	#553	—	3	2	no	—
508	#553	—	3	4	no	—
509	#553	—	3	4	no	—
510	#553	—	3	4	no	—
511	#553	—	3	4	no	—
512	#551	—	3	4	no	—
513	#551	—	3	4	no	—
514	#551	—	3	4	no	—
515	#550	—	3	4	no	—
516	#550	—	3	4	no	—
517	#550	—	3	2	no	—
518	#550	C₂×D₃	1	2	yes	complemented
519	#546	—	3	4	no	—
520	#546	—	3	4	no	—
521	#546	—	3	2	no	—
522	#546	—	3	4	no	—
523	#546	—	3	4	no	—
524	#546	—	3	4	no	—
525	#546	—	3	8	no	—
526	#546	—	3	8	no	—
527	#546	—	3	2	no	—
528	#546	—	3	8	no	—
529	#546	—	3	8	no	—
530	#546	—	3	8	no	—
531	#546	—	3	8	no	—
532	#546	—	3	8	no	—
533	#546	C₂×D₃	1	4	yes	complemented
534	D₄²	—	3	4	no	—
535	D₄²	—	3	8	no	—
536	D₄²	—	3	4	no	—
537	D₄²	—	3	4	no	—
538	D₄²	—	3	4	no	—
539	D₄²	—	3	1	no	—
540	D₄²	—	3	1	no	—
541	D₄²	—	3	4	no	—
542	D₄²	—	3	4	no	—
543	D₄²	—	3	2	no	—
544	D₄²	—	3	4	no	—
545	D₄²	—	3	4	no	—
546	D₄²	—	3	4	no	—
547	D₄²	—	3	4	no	—
548	D₄²	—	3	2	no	—
549	D₄²	—	3	4	no	—
550	D₄²	—	3	4	no	—
551	D₄²	—	3	8	no	—
552	D₄²	—	3	8	no	—
553	D₄²	—	3	8	no	—
554	D₄²	—	3	8	no	—
555	D₄²	—	3	8	no	—
556	D₄²	—	3	4	no	—
557	D₄²	—	3	8	no	—
558	D₄²	—	3	8	no	—
559	D₄²	—	3	4	no	—
560	D₄²	—	3	2	no	—
561	D₄²	—	3	4	no	—
562	D₄²	—	3	4	no	—
563	D₄²	C₂×D₃	1	4	yes	complemented
564	D₄²	C₂×D₃	1	1	yes	characteristic, complemented
565	#540	—	3	4	no	—
566	#540	—	3	8	no	—
567	#540	—	3	4	no	—
568	#540	—	3	4	no	—
569	#540	C₂×D₃	1	4	yes	complemented
570	#538	—	3	8	no	—
571	#538	—	3	8	no	—
572	#538	—	3	8	no	—
573	#538	—	3	8	no	—
574	#538	—	3	8	no	—
575	#538	—	3	8	no	—
576	#535	—	3	4	no	—
577	#535	—	3	2	no	—
578	#535	—	3	2	no	—
579	#535	—	3	2	no	—
580	#535	—	3	4	no	—
581	#535	—	3	4	no	—
582	#535	—	3	8	no	—
583	#535	—	3	4	no	—
584	#535	—	3	4	no	—
585	#535	—	3	4	no	—
586	#535	C₂×D₃	1	4	yes	complemented
587	#534	—	3	4	no	—
588	#534	—	3	4	no	—
589	#534	—	3	4	no	—
590	#534	—	3	8	no	—
591	#534	—	3	8	no	—
592	#534	—	3	8	no	—
593	#534	—	3	8	no	—
594	#534	C₂×D₃	1	4	yes	complemented
595	#532	—	3	1	no	—
596	#532	—	3	1	no	—
597	#532	—	3	2	no	—
598	#532	—	3	4	no	—
599	#532	—	3	1	no	—
600	C₂×#127	—	3	1	no	—
601	C₂×#127	—	3	4	no	—
602	C₂×#127	—	3	1	no	—
603	C₂×#127	C₂×D₃	1	1	yes	characteristic, complemented
604	#529	—	3	4	no	—
605	#529	—	3	2	no	—
606	#529	—	3	4	no	—
607	#529	C₂×D₃	1	2	yes	complemented
608	#525	—	3	4	no	—
609	#525	—	3	4	no	—
610	#525	—	3	4	no	—
611	#525	—	3	4	no	—
612	#525	—	3	4	no	—
613	#525	—	3	4	no	—
614	C₂×#121	—	3	4	no	—
615	C₂×#121	—	3	4	no	—
616	C₂×#121	—	3	4	no	—
617	C₂×#121	—	3	4	no	—
618	C₂×#121	—	3	8	no	—
619	C₂×#120	—	3	4	no	—
620	C₂×#120	—	3	4	no	—
621	C₂×#120	—	3	8	no	—
622	C₂×#120	—	3	8	no	—
623	C₂×#120	—	3	4	no	—
624	C₂×#120	—	3	4	no	—
625	#518	—	3	4	no	—
626	#518	—	3	4	no	—
627	#518	—	3	4	no	—
628	C₄×#41	—	3	2	no	—
629	C₄×#41	—	3	1	no	—
630	C₂×C₄×D₄	—	3	4	no	—
631	C₂×C₄×D₄	—	3	4	no	—
632	C₂×C₄×D₄	—	3	2	no	—
633	C₂×C₄×D₄	—	3	2	no	—
634	C₂⁴×C₃	C₂⁴	1	4	yes	—
635	C₂⁴×C₃	C₂⁴	1	4	yes	—
636	C₂³×D₃	—	4	16	no	—
637	C₂³×D₃	—	4	16	no	—
638	C₂³×D₃	—	4	8	no	—
639	C₂³×D₃	—	4	8	no	—
640	C₂³×D₃	C₂⁴	1	4	yes	—
641	C₂³×D₃	C₂⁴	1	4	yes	—
642	C₂³×D₃	C₂⁴	1	4	yes	—
643	C₂³×D₃	C₂⁴	1	8	yes	—
644	C₂³×D₃	C₂⁴	1	4	yes	—
645	C₂³×D₃	C₂⁴	1	8	yes	—
646	C₂³×D₃	C₂⁴	1	4	yes	—
647	C₂³×D₃	C₂⁴	1	4	yes	—
648	C₃×#41	—	4	8	no	—
649	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
650	C₂×C₃×D₄	—	4	8	no	—
651	C₂×C₃×D₄	—	4	8	no	—
652	C₂×C₃×D₄	—	4	4	no	—
653	C₂×C₃×D₄	—	4	8	no	—
654	C₂×C₃×D₄	C₂⁴	1	4	yes	—
655	C₂×C₃×D₄	C₂⁴	1	4	yes	—
656	C₂×C₃×D₄	C₂⁴	1	2	yes	—
657	C₂×C₃×D₄	C₂⁴	1	4	yes	—
658	C₂×C₃×D₄	C₂⁴	1	8	yes	—
659	C₂×C₃×D₄	C₂⁴	1	8	yes	—
660	C₂×C₃×D₄	C₂⁴	1	2	yes	—
661	C₂×C₃×D₄	C₂⁴	1	2	yes	—
662	C₂×C₃×D₄	C₂⁴	1	8	yes	—
663	C₂×C₃×D₄	C₂⁴	1	4	yes	—
664	C₂×C₃×D₄	C₂⁴	1	8	yes	—
665	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
666	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
667	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
668	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
669	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
670	C₂×#67	—	2	16	no	—
671	C₂×#67	—	4	8	no	—
672	C₂×#67	—	4	16	no	—
673	C₂×#67	—	4	16	no	—
674	C₂×#67	—	4	8	no	—
675	C₂×#67	C₂⁴	1	4	yes	—
676	C₂×#67	C₂⁴	1	4	yes	—
677	C₂×#67	C₂⁴	1	8	yes	—
678	C₂×#67	C₂⁴	1	4	yes	—
679	C₂×#67	C₂⁴	1	8	yes	—
680	C₂×#67	C₂⁴	1	1	yes	characteristic
681	C₂×#67	C₂⁴	1	4	yes	—
682	C₂×#67	C₂⁴	1	4	yes	—
683	C₂×#67	C₂⁴	1	4	yes	—
684	C₂×#67	C₂⁴	1	4	yes	—
685	C₂×#67	C₂⁴	1	4	yes	—
686	C₂×#67	C₂⁴	1	8	yes	—
687	C₂×#67	C₂⁴	1	8	yes	—
688	C₂×#67	C₂⁴	1	8	yes	—
689	C₂×#67	C₂⁴	1	8	yes	—
690	C₂×#67	C₂⁴	1	4	yes	—
691	C₂×#67	C₂⁴	1	8	yes	—
692	C₂×#67	C₂⁴	1	8	yes	—
693	C₂×#67	C₂⁴	1	1	yes	characteristic
694	C₂²×Dic₃	C₂⁴	1	4	yes	—
695	C₂²×Dic₃	C₂⁴	1	4	yes	—
696	C₂²×Dic₃	C₂⁴	1	4	yes	—
697	C₂²×Dic₃	C₂⁴	1	4	yes	—
698	#239	—	2	8	no	—
699	#239	—	4	8	no	—
700	#237	—	4	8	no	—
701	#237	—	4	4	no	—
702	#237	—	4	4	no	—
703	D₃×D₄	—	2	16	no	—
704	D₃×D₄	—	2	16	no	—
705	D₃×D₄	—	2	8	no	—
706	D₃×D₄	—	2	16	no	—
707	D₃×D₄	—	4	8	no	—
708	D₃×D₄	—	4	8	no	—
709	D₃×D₄	—	4	8	no	—
710	D₃×D₄	—	4	8	no	—
711	D₃×D₄	—	4	8	no	—
712	D₃×D₄	—	4	16	no	—
713	D₃×D₄	—	4	4	no	—
714	D₃×D₄	—	4	4	no	—
715	D₃×D₄	—	4	16	no	—
716	D₃×D₄	—	4	16	no	—
717	D₃×D₄	—	4	16	no	—
718	D₃×D₄	—	4	16	no	—
719	D₃×D₄	—	4	16	no	—
720	D₃×D₄	—	4	16	no	—
721	D₃×D₄	—	4	8	no	—
722	D₃×D₄	—	4	16	no	—
723	D₃×D₄	—	4	16	no	—
724	#235	—	2	4	no	—
725	#235	—	4	8	no	—
726	#235	—	4	16	no	—
727	#235	—	4	4	no	—
728	C₂×D₁₂	—	2	8	no	—
729	C₂×D₁₂	—	2	16	no	—
730	C₂×D₁₂	—	4	8	no	—
731	C₂×D₁₂	—	4	16	no	—
732	C₂×D₁₂	C₂⁴	1	2	yes	—
733	C₂×D₁₂	C₂⁴	1	4	yes	—
734	C₂×D₁₂	C₂⁴	1	4	yes	—
735	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
736	C₂×D₁₂	C₂⁴	1	4	yes	—
737	C₂×D₁₂	C₂⁴	1	4	yes	—
738	C₂×D₁₂	C₂⁴	1	8	yes	—
739	C₂×D₁₂	C₂⁴	1	2	yes	—
740	C₂×D₁₂	C₂⁴	1	8	yes	—
741	C₂×D₁₂	C₂⁴	1	8	yes	—
742	C₂×D₁₂	C₂⁴	1	4	yes	—
743	C₂×D₁₂	C₂⁴	1	2	yes	—
744	C₂×C₄×D₃	—	4	8	no	—
745	C₂×C₄×D₃	—	4	8	no	—
746	C₂×C₄×D₃	—	4	8	no	—
747	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
748	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
749	C₂×C₄×D₃	C₂⁴	1	4	yes	—
750	C₂×C₄×D₃	C₂⁴	1	2	yes	—
751	C₂×C₄×D₃	C₂⁴	1	2	yes	—
752	C₂×C₄×D₃	C₂⁴	1	4	yes	—
753	C₂×C₄×D₃	C₂⁴	1	4	yes	—
754	C₂×C₄×D₃	C₂⁴	1	4	yes	—
755	C₂×C₄×D₃	C₂⁴	1	4	yes	—
756	C₂×C₄×D₃	C₂⁴	1	8	yes	—
757	C₂×C₄×D₃	C₂⁴	1	4	yes	—
758	C₂×C₄×D₃	C₂⁴	1	4	yes	—
759	C₂×C₄×D₃	C₂⁴	1	8	yes	—
760	C₂×C₄×D₃	C₂⁴	1	4	yes	—
761	C₂×C₄×D₃	C₂⁴	1	4	yes	—
762	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
763	C₂×Dic₆	C₂⁴	1	2	yes	—
764	C₂×Dic₆	C₂⁴	1	4	yes	—
765	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
768	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
776	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
777	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₃×C₄²	C₂⁴	1	2	yes	—
781	C₃×C₄²	C₂⁴	1	1	yes	characteristic
782	C₃×C₄²	C₂⁴	1	4	yes	—
783	C₃×C₄²	C₂⁴	1	1	yes	characteristic
784	#217	C₂⁴	1	4	yes	—
785	#217	C₂⁴	1	4	yes	—
786	#217	C₂⁴	1	2	yes	—
787	#217	C₂⁴	1	4	yes	—
788	#217	C₂⁴	1	4	yes	—
789	#217	C₂⁴	1	8	yes	—
790	#217	C₂⁴	1	8	yes	—
791	#217	C₂⁴	1	8	yes	—
792	#217	C₂⁴	1	8	yes	—
793	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
794	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
795	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
796	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
797	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
798	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
799	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
800	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
801	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
802	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
803	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
804	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
805	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
806	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
807	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
808	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
809	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
810	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
811	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
812	C₄⋊Dic₃	C₂⁴	1	2	yes	—
813	C₄⋊Dic₃	C₂⁴	1	4	yes	—
814	C₄⋊Dic₃	C₂⁴	1	2	yes	—
815	C₄⋊Dic₃	C₂⁴	1	2	yes	—
816	C₄⋊Dic₃	C₂⁴	1	4	yes	—
817	C₄⋊Dic₃	C₂⁴	1	4	yes	—
818	C₄⋊Dic₃	C₂⁴	1	4	yes	—
819	Dic₃⋊C₄	C₂⁴	1	2	yes	—
820	Dic₃⋊C₄	C₂⁴	1	2	yes	—
821	Dic₃⋊C₄	C₂⁴	1	8	yes	—
822	Dic₃⋊C₄	C₂⁴	1	8	yes	—
823	Dic₃⋊C₄	C₂⁴	1	4	yes	—
824	Dic₃⋊C₄	C₂⁴	1	4	yes	—
825	Dic₃⋊C₄	C₂⁴	1	4	yes	—
826	Dic₃⋊C₄	C₂⁴	1	4	yes	—
827	C₄×Dic₃	C₂⁴	1	2	yes	—
828	C₄×Dic₃	C₂⁴	1	2	yes	—
829	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
830	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
831	C₄×Dic₃	C₂⁴	1	4	yes	—
832	C₄×Dic₃	C₂⁴	1	4	yes	—
833	C₄×Dic₃	C₂⁴	1	8	yes	—
834	C₂⁵	—	3	4	no	—
835	C₂⁵	—	3	4	no	—
836	H(5,𝔽₂)	—	12	8	no	—
837	H(5,𝔽₂)	—	12	16	no	—
838	C₂×#41	—	3	2	no	—
839	C₂×#41	—	3	4	no	—
840	C₂×#41	—	3	2	no	—
841	C₂×#41	—	3	4	no	—
842	C₂×#41	—	3	2	no	—
843	C₂×#41	—	3	1	no	—
844	C₂×#41	—	3	4	no	—
845	C₂×#41	—	3	8	no	—
846	C₂×#41	—	3	2	no	—
847	C₂×#41	C₂²×D₃	1	4	yes	complemented
848	C₂²×D₄	—	3	4	no	—
849	C₂²×D₄	—	3	8	no	—
850	C₂²×D₄	—	3	4	no	—
851	C₂²×D₄	—	3	8	no	—
852	C₂²×D₄	—	3	4	no	—
853	C₂²×D₄	—	3	4	no	—
854	C₂²×D₄	—	3	2	no	—
855	C₂²×D₄	—	3	4	no	—
856	C₂²×D₄	—	3	4	no	—
857	C₂²×D₄	—	3	8	no	—
858	C₂²×D₄	—	3	2	no	—
859	C₂²×D₄	—	3	8	no	—
860	C₂²×D₄	—	3	8	no	—
861	C₂²×D₄	—	3	8	no	—
862	C₂²×D₄	—	3	8	no	—
863	C₂²×D₄	—	3	8	no	—
864	C₂²×D₄	—	3	4	no	—
865	C₂²×D₄	—	3	8	no	—
866	C₂²×D₄	—	3	8	no	—
867	C₂²×D₄	—	3	4	no	—
868	C₂²×D₄	—	3	4	no	—
869	C₂²×D₄	—	3	4	no	—
870	C₂²×D₄	—	3	2	no	—
871	C₂²×D₄	—	3	4	no	—
872	C₂²×D₄	—	3	8	no	—
873	C₂²×D₄	—	3	4	no	—
874	C₂²×D₄	—	3	2	no	—
875	C₂²×D₄	—	3	4	no	—
876	C₂²×D₄	—	3	8	no	—
877	C₂²×D₄	—	3	4	no	—
878	C₂²×D₄	—	12	16	no	—
879	C₂²×D₄	—	12	16	no	—
880	C₂²×D₄	—	12	16	no	—
881	C₂²×D₄	C₂²×D₃	1	2	yes	complemented
882	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
883	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
884	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
885	C₂³×C₄	—	3	4	no	—
886	C₂³×C₄	—	3	4	no	—
887	C₂³×C₄	—	3	4	no	—
888	C₄⋊Q₈	—	3	2	no	—
889	C₄⋊Q₈	—	3	1	no	—
890	#127	—	3	2	no	—
891	#127	—	3	4	no	—
892	#127	—	3	2	no	—
893	#127	—	3	8	no	—
894	#127	—	3	2	no	—
895	#127	—	3	8	no	—
896	#127	—	3	4	no	—
897	#127	—	3	8	no	—
898	#127	—	3	1	no	—
899	#127	—	3	4	no	—
900	#127	C₂²×D₃	1	1	yes	characteristic
901	#127	C₂²×D₃	1	1	yes	characteristic, complemented
902	#127	C₂²×D₃	1	4	yes	complemented
903	#127	C₂²×D₃	1	2	yes	complemented
904	#127	C₂²×D₃	1	4	yes	complemented
905	#126	—	3	4	no	—
906	#126	—	3	4	no	—
907	#126	—	3	8	no	—
908	#126	—	3	8	no	—
909	#126	—	3	4	no	—
910	#126	—	3	8	no	—
911	#126	C₂²×D₃	1	4	yes	complemented
912	#125	—	3	4	no	—
913	#125	—	3	2	no	—
914	#125	—	3	4	no	—
915	#125	C₂²×D₃	1	2	yes	complemented
916	#124	—	3	2	no	—
917	#124	—	3	2	no	—
918	#124	—	3	2	no	—
919	#124	—	3	8	no	—
920	#124	—	3	4	no	—
921	#124	—	3	8	no	—
922	#124	—	3	4	no	—
923	#124	—	3	8	no	—
924	#124	—	3	8	no	—
925	#124	—	3	2	no	—
926	#124	C₂²×D₃	1	4	yes	complemented
927	#124	C₂²×D₃	1	2	yes	complemented
928	#123	—	3	8	no	—
929	#123	—	3	8	no	—
930	#123	—	3	4	no	—
931	#123	—	3	4	no	—
932	#123	—	3	8	no	—
933	#123	—	3	8	no	—
934	#123	—	3	4	no	—
935	#123	—	3	4	no	—
936	#123	—	3	4	no	—
937	#123	—	3	8	no	—
938	#123	—	3	4	no	—
939	#123	—	3	4	no	—
940	#123	—	3	4	no	—
941	#123	—	3	4	no	—
942	#123	—	3	8	no	—
943	#123	—	3	8	no	—
944	#123	—	3	8	no	—
945	#123	C₂²×D₃	1	4	yes	complemented
946	#123	C₂²×D₃	1	4	yes	complemented
947	#123	C₂²×D₃	1	4	yes	complemented
948	#123	C₂²×D₃	1	8	yes	complemented
949	C₂²⋊Q₈	—	3	2	no	—
950	C₂²⋊Q₈	—	3	4	no	—
951	C₂²⋊Q₈	—	3	4	no	—
952	C₂²⋊Q₈	—	3	8	no	—
953	C₂²⋊Q₈	—	3	4	no	—
954	C₂²⋊Q₈	—	3	4	no	—
955	C₂²⋊Q₈	—	3	4	no	—
956	C₂²⋊Q₈	—	3	4	no	—
957	C₂²⋊Q₈	C₂²×D₃	1	2	yes	complemented
958	#121	—	3	4	no	—
959	#121	—	3	4	no	—
960	#121	—	3	4	no	—
961	#121	—	3	8	no	—
962	#121	—	3	8	no	—
963	#121	—	3	8	no	—
964	#121	—	3	4	no	—
965	#121	—	3	4	no	—
966	#121	—	3	8	no	—
967	#121	—	3	4	no	—
968	#121	—	3	8	no	—
969	#121	—	3	8	no	—
970	#121	—	3	8	no	—
971	#121	—	3	8	no	—
972	#121	—	3	4	no	—
973	#121	—	3	2	no	—
974	#121	—	3	4	no	—
975	#121	—	3	8	no	—
976	#121	—	3	8	no	—
977	#121	—	3	8	no	—
978	#121	—	3	8	no	—
979	#121	—	3	4	no	—
980	#121	—	3	4	no	—
981	#121	—	3	4	no	—
982	#121	—	3	8	no	—
983	#121	—	3	8	no	—
984	#121	—	3	2	no	—
985	#121	—	3	4	no	—
986	#121	—	3	8	no	—
987	#121	—	3	4	no	—
988	#121	—	3	4	no	—
989	#121	—	3	4	no	—
990	#121	—	3	2	no	—
991	#121	—	3	8	no	—
992	#121	—	3	4	no	—
993	#121	—	3	8	no	—
994	#121	—	3	8	no	—
995	#121	—	3	8	no	—
996	#121	—	3	8	no	—
997	#121	—	3	8	no	—
998	#121	—	3	4	no	—
999	#121	—	3	4	no	—
1000	#121	—	3	8	no	—
1001	#121	—	3	8	no	—
1002	#121	—	3	8	no	—
1003	#121	C₂²×D₃	1	2	yes	—
1004	#121	C₂²×D₃	1	4	yes	complemented
1005	#121	C₂²×D₃	1	4	yes	complemented
1006	#121	C₂²×D₃	1	8	yes	complemented
1007	#121	C₂²×D₃	1	8	yes	complemented
1008	#121	C₂²×D₃	1	8	yes	complemented
1009	#121	C₂²×D₃	1	8	yes	complemented
1010	#120	—	3	4	no	—
1011	#120	—	3	4	no	—
1012	#120	—	3	8	no	—
1013	#120	—	3	8	no	—
1014	#120	—	3	4	no	—
1015	#120	—	3	4	no	—
1016	#120	—	3	4	no	—
1017	#120	—	3	8	no	—
1018	#120	—	3	4	no	—
1019	#120	—	3	4	no	—
1020	#120	—	3	8	no	—
1021	#120	—	3	8	no	—
1022	#120	—	3	8	no	—
1023	#120	—	3	8	no	—
1024	#120	—	3	8	no	—
1025	#120	—	3	8	no	—
1026	#120	—	3	8	no	—
1027	#120	—	3	8	no	—
1028	#120	—	3	8	no	—
1029	#120	—	3	4	no	—
1030	#120	—	3	4	no	—
1031	#120	—	3	4	no	—
1032	#120	—	3	4	no	—
1033	#120	—	3	8	no	—
1034	#120	—	3	4	no	—
1035	#120	—	3	4	no	—
1036	#120	—	3	4	no	—
1037	#120	—	3	8	no	—
1038	#120	—	3	8	no	—
1039	#120	—	3	8	no	—
1040	#120	—	3	8	no	—
1041	#120	—	3	8	no	—
1042	#120	—	3	8	no	—
1043	#120	C₂²×D₃	1	4	yes	complemented
1044	#120	C₂²×D₃	1	8	yes	complemented
1045	#120	C₂²×D₃	1	4	yes	complemented
1046	#120	C₂²×D₃	1	8	yes	complemented
1047	C₄×Q₈	—	3	2	no	—
1048	C₄×Q₈	—	3	2	no	—
1049	C₄×Q₈	C₂²×D₃	1	2	yes	complemented
1050	C₄×D₄	—	3	4	no	—
1051	C₄×D₄	—	3	4	no	—
1052	C₄×D₄	—	3	2	no	—
1053	C₄×D₄	—	3	4	no	—
1054	C₄×D₄	—	3	2	no	—
1055	C₄×D₄	—	3	4	no	—
1056	C₄×D₄	—	3	4	no	—
1057	C₄×D₄	—	3	8	no	—
1058	C₄×D₄	—	3	2	no	—
1059	C₄×D₄	—	3	8	no	—
1060	C₄×D₄	—	3	8	no	—
1061	C₄×D₄	—	3	8	no	—
1062	C₄×D₄	—	3	2	no	—
1063	C₄×D₄	—	3	2	no	—
1064	C₄×D₄	—	3	4	no	—
1065	C₄×D₄	—	3	4	no	—
1066	C₄×D₄	—	3	8	no	—
1067	C₄×D₄	—	3	8	no	—
1068	C₄×D₄	—	3	4	no	—
1069	C₄×D₄	—	3	8	no	—
1070	C₄×D₄	—	3	4	no	—
1071	C₄×D₄	—	3	4	no	—
1072	C₄×D₄	—	3	8	no	—
1073	C₄×D₄	—	3	8	no	—
1074	C₄×D₄	—	3	2	no	—
1075	C₄×D₄	—	3	4	no	—
1076	C₄×D₄	—	3	2	no	—
1077	C₄×D₄	—	3	4	no	—
1078	C₄×D₄	—	3	4	no	—
1079	C₄×D₄	—	3	2	no	—
1080	C₄×D₄	—	3	4	no	—
1081	C₄×D₄	—	3	2	no	—
1082	C₄×D₄	—	3	4	no	—
1083	C₄×D₄	—	3	2	no	—
1084	C₄×D₄	—	3	4	no	—
1085	C₄×D₄	—	3	4	no	—
1086	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1087	C₄×D₄	C₂²×D₃	1	2	yes	complemented
1088	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1089	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1090	#117	—	3	1	no	—
1091	#117	—	3	4	no	—
1092	#117	—	3	4	no	—
1093	#117	—	3	2	no	—
1094	#117	—	3	4	no	—
1095	#117	—	3	4	no	—
1096	#117	—	3	4	no	—
1097	#117	—	3	1	no	—
1098	#117	—	3	1	no	—
1099	#117	—	3	4	no	—
1100	#117	C₂²×D₃	1	4	yes	complemented
1101	C₂×C₄⋊C₄	—	3	2	no	—
1102	C₂×C₄⋊C₄	—	3	4	no	—
1103	C₂×C₄⋊C₄	—	3	2	no	—
1104	C₂×C₄⋊C₄	—	3	4	no	—
1105	C₂×C₂²⋊C₄	—	3	4	no	—
1106	C₂×C₂²⋊C₄	—	3	4	no	—
1107	C₂×C₂²⋊C₄	—	3	8	no	—
1108	C₂×C₂²⋊C₄	—	3	4	no	—
1109	C₂×C₂²⋊C₄	—	3	4	no	—
1110	C₂×C₂²⋊C₄	—	3	8	no	—
1111	C₂×C₂²⋊C₄	—	3	4	no	—
1112	C₂×C₂²⋊C₄	—	3	4	no	—
1113	C₂×C₂²⋊C₄	—	3	8	no	—
1114	C₂×C₂²⋊C₄	—	3	8	no	—
1115	C₂×C₂²⋊C₄	—	3	8	no	—
1116	C₂×C₂²⋊C₄	—	3	4	no	—
1117	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
1118	C₂×C₄²	—	3	4	no	—
1119	C₂×C₄²	—	3	1	no	—
1120	C₂×C₄²	—	3	1	no	—
1121	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1122	C₂³×C₃	—	2	8	no	—
1123	C₂³×C₃	—	4	8	no	—
1124	C₂³×C₃	—	4	4	no	—
1125	C₂³×C₃	—	4	8	no	—
1126	C₂³×C₃	C₂⁵	1	4	yes	—
1127	C₂³×C₃	C₂⁵	1	4	yes	—
1128	C₂³×C₃	C₂⁵	1	4	yes	—
1129	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1130	C₂²×D₃	—	2	8	no	—
1131	C₂²×D₃	—	2	8	no	—
1132	C₂²×D₃	—	2	8	no	—
1133	C₂²×D₃	—	2	8	no	—
1134	C₂²×D₃	—	2	16	no	—
1135	C₂²×D₃	—	2	16	no	—
1136	C₂²×D₃	—	2	16	no	—
1137	C₂²×D₃	—	2	8	no	—
1138	C₂²×D₃	—	4	4	no	—
1139	C₂²×D₃	—	4	4	no	—
1140	C₂²×D₃	—	4	4	no	—
1141	C₂²×D₃	—	4	4	no	—
1142	C₂²×D₃	—	4	8	no	—
1143	C₂²×D₃	—	4	8	no	—
1144	C₂²×D₃	—	4	8	no	—
1145	C₂²×D₃	—	4	8	no	—
1146	C₂²×D₃	—	4	8	no	—
1147	C₂²×D₃	—	4	8	no	—
1148	C₂²×D₃	—	4	8	no	—
1149	C₂²×D₃	—	4	4	no	—
1150	C₂²×D₃	—	8	32	no	—
1151	C₂²×D₃	—	8	32	no	—
1152	C₂²×D₃	C₂⁵	1	4	yes	—
1153	C₂²×D₃	C₂⁵	1	1	yes	characteristic
1154	C₂²×D₃	C₂⁵	1	4	yes	—
1155	C₂²×D₃	C₂⁵	1	1	yes	characteristic
1156	C₂²×D₃	C₂⁵	1	4	yes	—
1157	C₃×Q₈	—	2	4	no	—
1158	C₃×D₄	—	2	8	no	—
1159	C₃×D₄	—	2	8	no	—
1160	C₃×D₄	—	2	4	no	—
1161	C₃×D₄	—	2	8	no	—
1162	C₃×D₄	—	4	8	no	—
1163	C₃×D₄	—	4	8	no	—
1164	C₃×D₄	—	4	8	no	—
1165	C₃×D₄	—	4	8	no	—
1166	C₃×D₄	—	4	4	no	—
1167	C₃×D₄	—	4	2	no	—
1168	C₃×D₄	—	4	2	no	—
1169	C₂×C₃×C₄	—	2	2	no	—
1170	C₂×C₃×C₄	—	2	4	no	—
1171	C₂×C₃×C₄	—	2	8	no	—
1172	C₂×C₃×C₄	—	4	4	no	—
1173	C₂×C₃×C₄	—	4	8	no	—
1174	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1175	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1176	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1177	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1178	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1179	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1180	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1181	#67	—	2	2	no	—
1182	#67	—	2	8	no	—
1183	#67	—	2	16	no	—
1184	#67	—	2	8	no	—
1185	#67	—	2	16	no	—
1186	#67	—	2	8	no	—
1187	#67	—	2	8	no	—
1188	#67	—	2	8	no	—
1189	#67	—	4	4	no	—
1190	#67	—	4	8	no	—
1191	#67	—	4	4	no	—
1192	#67	—	4	8	no	—
1193	#67	—	4	8	no	—
1194	#67	—	4	8	no	—
1195	#67	—	4	8	no	—
1196	#67	—	4	8	no	—
1197	#67	—	4	4	no	—
1198	#67	—	4	4	no	—
1199	#67	H(5,𝔽₂)	1	4	yes	complemented
1200	C₂×Dic₃	—	2	8	no	—
1201	C₂×Dic₃	—	4	4	no	—
1202	C₂×Dic₃	—	4	4	no	—
1203	C₂×Dic₃	—	4	4	no	—
1204	C₂×Dic₃	C₂⁵	1	2	yes	—
1205	C₂×Dic₃	C₂⁵	1	1	yes	characteristic
1206	C₂×Dic₃	C₂⁵	1	2	yes	—
1207	C₂×Dic₃	C₂⁵	1	4	yes	—
1208	C₂×Dic₃	C₂⁵	1	4	yes	—
1209	C₂×Dic₃	C₂⁵	1	4	yes	—
1210	C₂×Dic₃	C₂⁵	1	1	yes	characteristic
1211	D₁₂	—	2	16	no	—
1212	D₁₂	—	2	8	no	—
1213	D₁₂	—	2	8	no	—
1214	D₁₂	—	2	8	no	—
1215	D₁₂	—	2	2	no	—
1216	D₁₂	—	2	4	no	—
1217	D₁₂	—	2	8	no	—
1218	D₁₂	—	4	4	no	—
1219	D₁₂	—	4	8	no	—
1220	D₁₂	—	4	8	no	—
1221	D₁₂	—	4	2	no	—
1222	D₁₂	H(5,𝔽₂)	1	8	yes	complemented
1223	C₄×D₃	—	2	2	no	—
1224	C₄×D₃	—	2	8	no	—
1225	C₄×D₃	—	2	8	no	—
1226	C₄×D₃	—	2	4	no	—
1227	C₄×D₃	—	2	8	no	—
1228	C₄×D₃	—	2	4	no	—
1229	C₄×D₃	—	2	8	no	—
1230	C₄×D₃	—	2	2	no	—
1231	C₄×D₃	—	4	4	no	—
1232	C₄×D₃	—	4	8	no	—
1233	C₄×D₃	—	4	4	no	—
1234	C₄×D₃	—	4	4	no	—
1235	C₄×D₃	—	4	4	no	—
1236	C₄×D₃	—	4	4	no	—
1237	C₄×D₃	—	4	8	no	—
1238	Dic₆	—	2	2	no	—
1239	Dic₆	—	4	4	no	—
1240	Dic₆	—	4	2	no	—
1241	C₂⁴	—	3	4	no	—
1242	C₂⁴	—	3	4	no	—
1243	C₂⁴	—	3	4	no	—
1244	C₂⁴	—	3	8	no	—
1245	C₂⁴	—	3	8	no	—
1246	C₂⁴	—	3	4	no	—
1247	C₂⁴	—	3	4	no	—
1248	C₂⁴	—	3	4	no	—
1249	C₂⁴	—	12	8	no	—
1250	C₂⁴	—	12	16	no	—
1251	C₂⁴	—	12	16	no	—
1252	C₂⁴	—	12	8	no	—
1253	C₂⁴	C₂³×D₃	1	4	yes	—
1254	C₂⁴	C₂³×D₃	1	4	yes	—
1255	#41	—	4	8	no	—
1256	#41	—	6	4	no	—
1257	#41	—	6	8	no	—
1258	#41	—	12	8	no	—
1259	#41	—	12	4	no	—
1260	#41	—	12	16	no	—
1261	#41	—	12	4	no	—
1262	#41	—	12	4	no	—
1263	#41	—	12	8	no	—
1264	#41	—	12	8	no	—
1265	C₂×Q₈	—	3	1	no	—
1266	C₂×Q₈	—	3	4	no	—
1267	C₂×Q₈	—	3	2	no	—
1268	C₂×Q₈	C₂³×D₃	1	2	yes	—
1269	C₂×D₄	—	3	1	no	—
1270	C₂×D₄	—	3	4	no	—
1271	C₂×D₄	—	3	8	no	—
1272	C₂×D₄	—	3	4	no	—
1273	C₂×D₄	—	3	1	no	—
1274	C₂×D₄	—	3	4	no	—
1275	C₂×D₄	—	3	8	no	—
1276	C₂×D₄	—	3	4	no	—
1277	C₂×D₄	—	3	4	no	—
1278	C₂×D₄	—	3	4	no	—
1279	C₂×D₄	—	3	4	no	—
1280	C₂×D₄	—	3	4	no	—
1281	C₂×D₄	—	3	4	no	—
1282	C₂×D₄	—	3	8	no	—
1283	C₂×D₄	—	3	8	no	—
1284	C₂×D₄	—	3	8	no	—
1285	C₂×D₄	—	3	8	no	—
1286	C₂×D₄	—	3	8	no	—
1287	C₂×D₄	—	3	8	no	—
1288	C₂×D₄	—	3	2	no	—
1289	C₂×D₄	—	3	8	no	—
1290	C₂×D₄	—	3	4	no	—
1291	C₂×D₄	—	3	1	no	—
1292	C₂×D₄	—	3	4	no	—
1293	C₂×D₄	—	3	4	no	—
1294	C₂×D₄	—	3	2	no	—
1295	C₂×D₄	—	3	4	no	—
1296	C₂×D₄	—	3	4	no	—
1297	C₂×D₄	—	3	8	no	—
1298	C₂×D₄	—	3	2	no	—
1299	C₂×D₄	—	3	8	no	—
1300	C₂×D₄	—	4	8	no	—
1301	C₂×D₄	—	4	8	no	—
1302	C₂×D₄	—	4	4	no	—
1303	C₂×D₄	—	4	8	no	—
1304	C₂×D₄	—	6	8	no	—
1305	C₂×D₄	—	6	16	no	—
1306	C₂×D₄	—	6	16	no	—
1307	C₂×D₄	—	6	8	no	—
1308	C₂×D₄	—	6	16	no	—
1309	C₂×D₄	—	6	16	no	—
1310	C₂×D₄	—	6	16	no	—
1311	C₂×D₄	—	12	8	no	—
1312	C₂×D₄	—	12	16	no	—
1313	C₂×D₄	—	12	8	no	—
1314	C₂×D₄	—	12	8	no	—
1315	C₂×D₄	—	12	8	no	—
1316	C₂×D₄	—	12	8	no	—
1317	C₂×D₄	—	12	8	no	—
1318	C₂×D₄	—	12	16	no	—
1319	C₂×D₄	—	12	4	no	—
1320	C₂×D₄	—	12	4	no	—
1321	C₂×D₄	—	12	16	no	—
1322	C₂×D₄	—	12	8	no	—
1323	C₂×D₄	—	12	16	no	—
1324	C₂×D₄	—	12	16	no	—
1325	C₂×D₄	—	12	16	no	—
1326	C₂×D₄	—	12	16	no	—
1327	C₂×D₄	—	12	16	no	—
1328	C₂×D₄	—	12	16	no	—
1329	C₂×D₄	—	12	8	no	—
1330	C₂×D₄	—	12	16	no	—
1331	C₂×D₄	—	12	8	no	—
1332	C₂×D₄	—	12	16	no	—
1333	C₂×D₄	—	12	16	no	—
1334	C₂×D₄	C₂³×D₃	1	4	yes	—
1335	C₂×D₄	C₂³×D₃	1	2	yes	—
1336	C₂×D₄	C₂³×D₃	1	4	yes	—
1337	C₂×D₄	C₂³×D₃	1	4	yes	—
1338	C₂×D₄	C₂³×D₃	1	2	yes	—
1339	C₂×D₄	C₂³×D₃	1	4	yes	—
1340	C₂×D₄	C₂³×D₃	1	2	yes	—
1341	C₂×D₄	C₂³×D₃	1	8	yes	—
1342	C₂×D₄	C₂³×D₃	1	8	yes	—
1343	C₂×D₄	C₂³×D₃	1	8	yes	—
1344	C₂×D₄	C₂³×D₃	1	8	yes	—
1345	C₂²×C₄	—	3	4	no	—
1346	C₂²×C₄	—	3	4	no	—
1347	C₂²×C₄	—	3	4	no	—
1348	C₂²×C₄	—	3	4	no	—
1349	C₂²×C₄	—	3	4	no	—
1350	C₂²×C₄	—	3	1	no	—
1351	C₂²×C₄	—	3	4	no	—
1352	C₂²×C₄	—	3	2	no	—
1353	C₂²×C₄	—	3	4	no	—
1354	C₂²×C₄	—	3	1	no	—
1355	C₂²×C₄	—	3	2	no	—
1356	C₂²×C₄	—	3	4	no	—
1357	C₂²×C₄	—	3	8	no	—
1358	C₂²×C₄	—	3	4	no	—
1359	C₂²×C₄	—	3	4	no	—
1360	C₂²×C₄	—	3	4	no	—
1361	C₂²×C₄	—	3	8	no	—
1362	C₂²×C₄	—	3	4	no	—
1363	C₂²×C₄	—	3	4	no	—
1364	C₂²×C₄	—	12	8	no	—
1365	C₂²×C₄	—	12	8	no	—
1366	C₂²×C₄	—	12	8	no	—
1367	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂³×D₃	1	2	yes	—
1369	C₂²×C₄	C₂³×D₃	1	4	yes	—
1370	C₂²×C₄	C₂³×D₃	1	8	yes	—
1371	C₂²×C₄	C₂³×D₃	1	4	yes	—
1372	C₄⋊C₄	—	3	2	no	—
1373	C₄⋊C₄	—	3	2	no	—
1374	C₄⋊C₄	—	3	4	no	—
1375	C₄⋊C₄	—	3	2	no	—
1376	C₄⋊C₄	—	3	4	no	—
1377	C₄⋊C₄	—	3	8	no	—
1378	C₄⋊C₄	—	3	4	no	—
1379	C₄⋊C₄	—	3	4	no	—
1380	C₄⋊C₄	—	3	4	no	—
1381	C₄⋊C₄	—	3	4	no	—
1382	C₄⋊C₄	—	3	8	no	—
1383	C₄⋊C₄	—	3	4	no	—
1384	C₄⋊C₄	—	3	2	no	—
1385	C₄⋊C₄	—	3	4	no	—
1386	C₄⋊C₄	—	3	2	no	—
1387	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1388	C₄⋊C₄	C₂³×D₃	1	2	yes	—
1389	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1390	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1391	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1392	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1393	C₂²⋊C₄	—	3	2	no	—
1394	C₂²⋊C₄	—	3	4	no	—
1395	C₂²⋊C₄	—	3	4	no	—
1396	C₂²⋊C₄	—	3	8	no	—
1397	C₂²⋊C₄	—	3	4	no	—
1398	C₂²⋊C₄	—	3	8	no	—
1399	C₂²⋊C₄	—	3	4	no	—
1400	C₂²⋊C₄	—	3	8	no	—
1401	C₂²⋊C₄	—	3	8	no	—
1402	C₂²⋊C₄	—	3	4	no	—
1403	C₂²⋊C₄	—	3	8	no	—
1404	C₂²⋊C₄	—	3	4	no	—
1405	C₂²⋊C₄	—	3	4	no	—
1406	C₂²⋊C₄	—	3	4	no	—
1407	C₂²⋊C₄	—	3	2	no	—
1408	C₂²⋊C₄	—	3	4	no	—
1409	C₂²⋊C₄	—	3	4	no	—
1410	C₂²⋊C₄	—	3	8	no	—
1411	C₂²⋊C₄	—	3	4	no	—
1412	C₂²⋊C₄	—	3	4	no	—
1413	C₂²⋊C₄	—	3	4	no	—
1414	C₂²⋊C₄	—	3	4	no	—
1415	C₂²⋊C₄	—	3	4	no	—
1416	C₂²⋊C₄	—	3	8	no	—
1417	C₂²⋊C₄	—	3	8	no	—
1418	C₂²⋊C₄	—	3	8	no	—
1419	C₂²⋊C₄	—	3	4	no	—
1420	C₂²⋊C₄	—	3	2	no	—
1421	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1422	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1423	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1424	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1425	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1426	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1427	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1428	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1429	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1430	C₄²	—	3	2	no	—
1431	C₄²	—	3	1	no	—
1432	C₄²	—	3	4	no	—
1433	C₄²	—	3	2	no	—
1434	C₄²	—	3	4	no	—
1435	C₄²	—	3	1	no	—
1436	C₄²	—	3	8	no	—
1437	C₄²	C₂³×D₃	1	1	yes	characteristic
1438	C₄²	C₂³×D₃	1	4	yes	—
1439	C₄²	C₂³×D₃	1	1	yes	characteristic
1440	C₄²	C₂³×D₃	1	2	yes	—
1441	C₂²×C₃	—	2	2	no	—
1442	C₂²×C₃	—	2	4	no	—
1443	C₂²×C₃	—	2	4	no	—
1444	C₂²×C₃	—	2	4	no	—
1445	C₂²×C₃	—	2	8	no	—
1446	C₂²×C₃	—	2	4	no	—
1447	C₂²×C₃	—	2	8	no	—
1448	C₂²×C₃	—	2	4	no	—
1449	C₂²×C₃	—	8	8	no	—
1450	C₂²×C₃	—	8	8	no	—
1451	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1452	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1453	C₂×D₃	—	2	2	no	—
1454	C₂×D₃	—	2	4	no	—
1455	C₂×D₃	—	2	4	no	—
1456	C₂×D₃	—	2	4	no	—
1457	C₂×D₃	—	2	2	no	—
1458	C₂×D₃	—	2	1	no	—
1459	C₂×D₃	—	2	8	no	—
1460	C₂×D₃	—	2	4	no	—
1461	C₂×D₃	—	2	4	no	—
1462	C₂×D₃	—	2	4	no	—
1463	C₂×D₃	—	4	16	no	—
1464	C₂×D₃	—	4	16	no	—
1465	C₂×D₃	—	4	16	no	—
1466	C₂×D₃	—	8	16	no	—
1467	C₂×D₃	—	8	16	no	—
1468	C₂×D₃	—	8	8	no	—
1469	C₂×D₃	—	8	8	no	—
1470	C₂×D₃	—	16	4	no	—
1471	C₂×D₃	C₂×H(5,𝔽₂)	1	2	yes	—
1472	C₂×D₃	C₂×H(5,𝔽₂)	1	8	yes	—
1473	C₃×C₄	—	2	1	no	—
1474	C₃×C₄	—	2	1	no	—
1475	C₃×C₄	—	2	4	no	—
1476	C₃×C₄	—	2	4	no	—
1477	C₃×C₄	—	2	4	no	—
1478	C₃×C₄	—	2	2	no	—
1479	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1480	Dic₃	—	2	1	no	—
1481	Dic₃	—	2	2	no	—
1482	Dic₃	—	2	4	no	—
1483	Dic₃	—	2	4	no	—
1484	Dic₃	—	2	4	no	—
1485	Dic₃	—	2	2	no	—
1486	Dic₃	C₂×H(5,𝔽₂)	1	2	yes	—
1487	C₂³	—	2	8	no	—
1488	C₂³	—	3	1	no	—
1489	C₂³	—	3	4	no	—
1490	C₂³	—	3	4	no	—
1491	C₂³	—	3	1	no	—
1492	C₂³	—	3	4	no	—
1493	C₂³	—	4	8	no	—
1494	C₂³	—	4	8	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	6	8	no	—
1497	C₂³	—	6	8	no	—
1498	C₂³	—	6	16	no	—
1499	C₂³	—	6	8	no	—
1500	C₂³	—	6	16	no	—
1501	C₂³	—	6	8	no	—
1502	C₂³	—	6	16	no	—
1503	C₂³	—	6	8	no	—
1504	C₂³	—	12	4	no	—
1505	C₂³	—	12	4	no	—
1506	C₂³	—	12	4	no	—
1507	C₂³	—	12	4	no	—
1508	C₂³	—	12	8	no	—
1509	C₂³	—	12	8	no	—
1510	C₂³	—	12	8	no	—
1511	C₂³	—	12	8	no	—
1512	C₂³	—	12	8	no	—
1513	C₂³	—	12	8	no	—
1514	C₂³	—	12	8	no	—
1515	C₂³	—	12	4	no	—
1516	C₂³	—	24	32	no	—
1517	C₂³	—	24	32	no	—
1518	C₂³	C₂⁴×D₃	1	4	yes	—
1519	C₂³	C₂⁴×D₃	1	4	yes	—
1520	C₂³	C₂⁴×D₃	1	4	yes	—
1521	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1522	Q₈	—	2	4	no	—
1523	Q₈	—	6	2	no	—
1524	Q₈	—	12	4	no	—
1525	Q₈	—	12	2	no	—
1526	D₄	—	2	8	no	—
1527	D₄	—	2	4	no	—
1528	D₄	—	2	8	no	—
1529	D₄	—	2	8	no	—
1530	D₄	—	3	4	no	—
1531	D₄	—	3	8	no	—
1532	D₄	—	4	8	no	—
1533	D₄	—	4	8	no	—
1534	D₄	—	4	8	no	—
1535	D₄	—	4	2	no	—
1536	D₄	—	4	2	no	—
1537	D₄	—	4	4	no	—
1538	D₄	—	4	8	no	—
1539	D₄	—	6	8	no	—
1540	D₄	—	6	8	no	—
1541	D₄	—	6	16	no	—
1542	D₄	—	6	2	no	—
1543	D₄	—	6	8	no	—
1544	D₄	—	6	8	no	—
1545	D₄	—	6	8	no	—
1546	D₄	—	6	8	no	—
1547	D₄	—	6	16	no	—
1548	D₄	—	6	16	no	—
1549	D₄	—	6	8	no	—
1550	D₄	—	6	8	no	—
1551	D₄	—	6	2	no	—
1552	D₄	—	6	4	no	—
1553	D₄	—	6	8	no	—
1554	D₄	—	12	8	no	—
1555	D₄	—	12	4	no	—
1556	D₄	—	12	2	no	—
1557	D₄	—	12	8	no	—
1558	D₄	—	12	8	no	—
1559	D₄	—	12	8	no	—
1560	D₄	—	12	8	no	—
1561	D₄	—	12	8	no	—
1562	D₄	—	12	8	no	—
1563	D₄	—	12	4	no	—
1564	D₄	—	12	8	no	—
1565	D₄	—	12	4	no	—
1566	D₄	—	12	4	no	—
1567	D₄	—	12	4	no	—
1568	C₂×C₄	—	2	2	no	—
1569	C₂×C₄	—	2	4	no	—
1570	C₂×C₄	—	2	8	no	—
1571	C₂×C₄	—	3	1	no	—
1572	C₂×C₄	—	3	2	no	—
1573	C₂×C₄	—	3	4	no	—
1574	C₂×C₄	—	3	4	no	—
1575	C₂×C₄	—	3	1	no	—
1576	C₂×C₄	—	3	2	no	—
1577	C₂×C₄	—	3	4	no	—
1578	C₂×C₄	—	4	4	no	—
1579	C₂×C₄	—	4	8	no	—
1580	C₂×C₄	—	6	8	no	—
1581	C₂×C₄	—	6	2	no	—
1582	C₂×C₄	—	6	2	no	—
1583	C₂×C₄	—	6	8	no	—
1584	C₂×C₄	—	6	8	no	—
1585	C₂×C₄	—	6	4	no	—
1586	C₂×C₄	—	6	8	no	—
1587	C₂×C₄	—	6	8	no	—
1588	C₂×C₄	—	6	4	no	—
1589	C₂×C₄	—	12	4	no	—
1590	C₂×C₄	—	12	4	no	—
1591	C₂×C₄	—	12	4	no	—
1592	C₂×C₄	—	12	4	no	—
1593	C₂×C₄	—	12	8	no	—
1594	C₂×C₄	—	12	4	no	—
1595	C₂×C₄	—	12	8	no	—
1596	C₂×C₄	—	12	4	no	—
1597	C₂×C₄	—	12	4	no	—
1598	C₂×C₄	—	12	4	no	—
1599	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1600	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1601	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1602	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1603	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1604	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1605	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1606	C₂×C₃	—	2	2	no	—
1607	C₂×C₃	—	4	4	no	—
1608	C₂×C₃	—	4	4	no	—
1609	C₂×C₃	—	4	4	no	—
1610	C₂×C₃	C₂²×H(5,𝔽₂)	1	2	yes	—
1611	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1612	D₃	—	2	2	no	—
1613	D₃	—	2	8	no	—
1614	D₃	—	4	4	no	—
1615	D₃	—	4	4	no	—
1616	D₃	—	4	1	no	—
1617	C₂²	—	2	2	no	—
1618	C₂²	—	2	4	no	—
1619	C₂²	—	2	4	no	—
1620	C₂²	—	2	8	no	—
1621	C₂²	—	2	4	no	—
1622	C₂²	—	2	4	no	—
1623	C₂²	—	2	4	no	—
1624	C₂²	—	2	8	no	—
1625	C₂²	—	3	2	no	—
1626	C₂²	—	3	8	no	—
1627	C₂²	—	6	4	no	—
1628	C₂²	—	6	4	no	—
1629	C₂²	—	6	2	no	—
1630	C₂²	—	6	4	no	—
1631	C₂²	—	6	1	no	—
1632	C₂²	—	6	2	no	—
1633	C₂²	—	6	4	no	—
1634	C₂²	—	6	8	no	—
1635	C₂²	—	6	4	no	—
1636	C₂²	—	6	4	no	—
1637	C₂²	—	8	8	no	—
1638	C₂²	—	8	8	no	—
1639	C₂²	—	12	16	no	—
1640	C₂²	—	12	16	no	—
1641	C₂²	—	12	16	no	—
1642	C₂²	—	24	16	no	—
1643	C₂²	—	24	8	no	—
1644	C₂²	—	24	16	no	—
1645	C₂²	—	24	8	no	—
1646	C₂²	—	48	4	no	—
1647	C₂²	D₃×H(5,𝔽₂)	1	2	yes	—
1648	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1649	C₄	—	2	4	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	4	no	—
1654	C₄	—	2	4	no	—
1655	C₄	—	3	2	no	—
1656	C₄	—	6	2	no	—
1657	C₄	—	6	2	no	—
1658	C₄	—	6	4	no	—
1659	C₄	—	6	4	no	—
1660	C₄	—	6	4	no	—
1661	C₄	—	6	1	no	—
1662	C₄	D₃×H(5,𝔽₂)	1	4	yes	—
1663	C₃	#63011	1	1	yes	characteristic, complemented, Sylow
1664	C₂	—	2	2	no	—
1665	C₂	—	4	4	no	—
1666	C₂	—	4	4	no	—
1667	C₂	—	4	4	no	—
1668	C₂	—	6	8	no	—
1669	C₂	—	6	2	no	—
1670	C₂	—	12	4	no	—
1671	C₂	—	12	4	no	—
1672	C₂	—	12	1	no	—
1673	C₂	C₂×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1674	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	#63011
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. #87080	C₂	semidirect
3. #87071	C₂	semidirect
4. #87066	C₂	semidirect
5. #87050	C₂	semidirect
6. #86775	C₂	semidirect
7. #86770	C₂	semidirect
8. #86662	C₂	semidirect
9. #86640	C₂	semidirect
10. #86623	C₂	semidirect
11. D₃×D₄²	C₂	semidirect
12. D₃×D₄²	C₂	semidirect
13. #86617	C₂	semidirect
14. #86491	C₂	semidirect
15. #86488	C₂	semidirect
16. #86336	C₂	semidirect
17. #86330	C₂	semidirect
18. #86310	C₂	semidirect
19. #86308	C₂	semidirect
20. #86195	C₂	semidirect
21. C₂×#5717	C₂	semidirect
22. #86166	C₂	semidirect
23. #86153	C₂	semidirect
25. C₂×#1009	C₂²	semidirect
26. C₂×#1004	C₂²	semidirect
27. C₂²×D₃×D₄	C₂²	semidirect
28. C₂²×D₃×D₄	C₂²	semidirect
29. C₂²×D₃×D₄	C₂²	semidirect
30. C₃×#560	C₂²	semidirect
31. C₃×#559	C₂²	semidirect
32. C₃×#550	C₂²	semidirect
33. C₃×#546	C₂²	semidirect
34. C₃×D₄²	C₂²	semidirect
35. C₃×D₄²	C₂²	semidirect
36. C₃×#540	C₂²	semidirect
37. C₃×#535	C₂²	semidirect
38. C₃×#534	C₂²	semidirect
39. C₂×C₃×#127	C₂²	semidirect
40. C₃×#529	C₂²	semidirect
41. #5834	C₂²	semidirect
42. #5829	C₂²	semidirect
43. #5828	C₂²	semidirect
44. #5805	C₂²	semidirect
45. #5805	C₂²	semidirect
46. #5804	C₂²	semidirect
47. D₄×#67	C₂²	semidirect
48. D₄×#67	C₂²	semidirect
49. D₄×#67	C₂²	semidirect
50. D₄×#67	C₂²	semidirect
51. D₄×#67	C₂²	semidirect
52. C₂×#938	C₂²	semidirect
53. C₂×#937	C₂²	semidirect
54. #5719	C₂²	semidirect
55. #5718	C₂²	semidirect
56. #5717	C₂²	semidirect
57. #5717	C₂²	semidirect
58. #5717	C₂²	semidirect
59. #5717	C₂²	semidirect
60. #5717	C₂²	semidirect
61. #5717	C₂²	semidirect
62. #5717	C₂²	semidirect
63. #5717	C₂²	semidirect
64. #5717	C₂²	semidirect
65. #5716	C₂²	semidirect
66. #5716	C₂²	semidirect
67. #5715	C₂²	semidirect
68. #5715	C₂²	semidirect
69. D₃×#127	C₂²	semidirect
70. D₃×#127	C₂²	semidirect
71. D₃×#127	C₂²	semidirect
72. #5709	C₂²	semidirect
73. #5705	C₂²	semidirect
74. #5704	C₂²	semidirect
75. #5695	C₂²	semidirect
76. #5695	C₂²	semidirect
77. #5690	C₂²	semidirect
78. #5681	C₂²	semidirect
79. #5680	C₂²	semidirect
80. #5676	C₂²	semidirect
81. #5676	C₂²	semidirect
82. #5676	C₂²	semidirect
83. #5676	C₂²	semidirect
84. #5674	C₂²	semidirect
85. #5666	C₂²	semidirect
86. #5661	C₂²	semidirect
87. #5659	C₂²	semidirect
88. #5658	C₂²	semidirect
89. #5657	C₂²	semidirect
90. #5657	C₂²	semidirect
91. #5656	C₂²	semidirect
92. #5656	C₂²	semidirect
93. #5654	C₂²	semidirect
94. #5654	C₂²	semidirect
95. #5654	C₂²	semidirect
96. #5653	C₂²	semidirect
97. #5653	C₂²	semidirect
98. #5653	C₂²	semidirect
99. #5635	C₂²	semidirect
100. #5630	C₂²	semidirect
101. #5627	C₂²	semidirect
102. #5620	C₂²	semidirect
103. #5620	C₂²	semidirect
104. #5618	C₂²	semidirect
105. #5616	C₂²	semidirect
106. #5615	C₂²	semidirect
107. #5614	C₂²	semidirect
108. #5613	C₂²	semidirect
109. #5613	C₂²	semidirect
110. #5612	C₂²	semidirect
111. #5612	C₂²	semidirect
112. #5610	C₂²	semidirect
113. #5610	C₂²	semidirect
114. #5609	C₂²	semidirect
115. #5609	C₂²	semidirect
116. #5609	C₂²	semidirect
117. #5609	C₂²	semidirect
118. #5609	C₂²	semidirect
119. #5609	C₂²	semidirect
120. #5609	C₂²	semidirect
121. #5607	C₂²	semidirect
122. #5607	C₂²	semidirect
123. #5607	C₂²	semidirect
124. #5605	C₂²	semidirect
125. D₃×#121	C₂²	semidirect
126. D₃×#121	C₂²	semidirect
127. D₃×#121	C₂²	semidirect
128. D₃×#121	C₂²	semidirect
129. #5595	C₂²	semidirect
130. #5594	C₂²	semidirect
131. #5593	C₂²	semidirect
132. #5592	C₂²	semidirect
133. #5592	C₂²	semidirect
134. #5590	C₂²	semidirect
135. #5590	C₂²	semidirect
136. #5590	C₂²	semidirect
137. #5590	C₂²	semidirect
138. #5589	C₂²	semidirect
139. #5589	C₂²	semidirect
140. D₃×#120	C₂²	semidirect
141. D₃×#120	C₂²	semidirect
142. D₃×#120	C₂²	semidirect
143. D₃×#120	C₂²	semidirect
144. #5580	C₂²	semidirect
145. #5579	C₂²	semidirect
146. #5577	C₂²	semidirect
147. C₄×#239	C₂²	semidirect
148. #5565	C₂²	semidirect
149. #5563	C₂²	semidirect
150. #5562	C₂²	semidirect
151. #5558	C₂²	semidirect
152. #5558	C₂²	semidirect
153. D₄×D₁₂	C₂²	semidirect
154. D₄×D₁₂	C₂²	semidirect
155. D₄×D₁₂	C₂²	semidirect
156. D₄×D₁₂	C₂²	semidirect
157. #5548	C₂²	semidirect
158. #5548	C₂²	semidirect
159. #5547	C₂²	semidirect
160. #5545	C₂²	semidirect
161. C₄×D₃×D₄	C₂²	semidirect
162. C₄×D₃×D₄	C₂²	semidirect
163. C₄×D₃×D₄	C₂²	semidirect
164. #5535	C₂²	semidirect
165. #5528	C₂²	semidirect
166. #5524	C₂²	semidirect
167. #5521	C₂²	semidirect
168. #5490	C₂²	semidirect
169. C₂×#882	C₂²	semidirect
170. #5486	C₂²	semidirect
171. #5477	C₂²	semidirect
172. C₄×#235	C₂²	semidirect
173. C₂×C₄×D₁₂	C₂²	semidirect
177. #3543	D₃	semidirect
197. C₂⁴×D₃	C₂³	semidirect
198. C₂⁴×D₃	C₂³	semidirect
199. C₂×C₃×#41	C₂³	semidirect
200. C₂²×C₃×D₄	C₂³	semidirect
201. C₂²×C₃×D₄	C₂³	semidirect
202. C₂²×C₃×D₄	C₂³	semidirect
203. C₂²×C₃×D₄	C₂³	semidirect
205. C₂²×#67	C₂³	semidirect
206. C₂²×#67	C₂³	semidirect
207. C₂²×#67	C₂³	semidirect
208. C₂²×#67	C₂³	semidirect
211. C₂×#239	C₂³	semidirect
213. C₂×#237	C₂³	semidirect
214. C₂×#237	C₂³	semidirect
215. C₂×#237	C₂³	semidirect
223. C₂×D₃×D₄	C₂³	semidirect
224. C₂×D₃×D₄	C₂³	semidirect
225. C₂×D₃×D₄	C₂³	semidirect
226. C₂×D₃×D₄	C₂³	semidirect
227. C₂×D₃×D₄	C₂³	semidirect
228. C₂×D₃×D₄	C₂³	semidirect
229. C₂×D₃×D₄	C₂³	semidirect
230. C₂×D₃×D₄	C₂³	semidirect
231. C₂×D₃×D₄	C₂³	semidirect
232. C₂×D₃×D₄	C₂³	semidirect
233. C₂×D₃×D₄	C₂³	semidirect
234. C₂×D₃×D₄	C₂³	semidirect
235. C₂×D₃×D₄	C₂³	semidirect
236. C₂×D₃×D₄	C₂³	semidirect
237. C₂×D₃×D₄	C₂³	semidirect
238. C₂×D₃×D₄	C₂³	semidirect
239. C₂×D₃×D₄	C₂³	semidirect
241. C₂×#235	C₂³	semidirect
242. C₂×#235	C₂³	semidirect
243. C₂×#235	C₂³	semidirect
246. C₂²×D₁₂	C₂³	semidirect
247. C₂²×D₁₂	C₂³	semidirect
248. C₂²×C₄×D₃	C₂³	semidirect
249. C₂²×C₄×D₃	C₂³	semidirect
250. C₂²×C₄×D₃	C₂³	semidirect
252. C₃×#127	C₂³	semidirect
253. C₃×#127	C₂³	semidirect
254. C₃×#127	C₂³	semidirect
255. C₃×#127	C₂³	semidirect
256. C₃×#126	C₂³	semidirect
257. C₃×#125	C₂³	semidirect
258. C₃×#124	C₂³	semidirect
259. C₃×#124	C₂³	semidirect
260. C₃×#123	C₂³	semidirect
261. C₃×#123	C₂³	semidirect
262. C₃×#123	C₂³	semidirect
263. C₃×#123	C₂³	semidirect
264. C₃×C₂²⋊Q₈	C₂³	semidirect
266. C₃×#121	C₂³	semidirect
267. C₃×#121	C₂³	semidirect
268. C₃×#121	C₂³	semidirect
269. C₃×#121	C₂³	semidirect
270. C₃×#121	C₂³	semidirect
271. C₃×#121	C₂³	semidirect
272. C₃×#120	C₂³	semidirect
273. C₃×#120	C₂³	semidirect
274. C₃×#120	C₂³	semidirect
275. C₃×#120	C₂³	semidirect
276. C₃×C₄×Q₈	C₂³	semidirect
277. C₃×C₄×D₄	C₂³	semidirect
278. C₃×C₄×D₄	C₂³	semidirect
279. C₃×C₄×D₄	C₂³	semidirect
280. C₃×C₄×D₄	C₂³	semidirect
281. C₃×#117	C₂³	semidirect
282. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
283. C₂×C₃×C₄²	C₂³	semidirect
284. #953	C₂³	semidirect
285. #953	C₂³	semidirect
286. #953	C₂³	semidirect
287. #953	C₂³	semidirect
288. C₂×#217	C₂³	semidirect
289. #947	C₂³	semidirect
290. #946	C₂³	semidirect
291. #946	C₂³	semidirect
292. Q₈×Dic₃	C₂³	semidirect
294. #940	C₂³	semidirect
295. #940	C₂³	semidirect
296. #940	C₂³	semidirect
297. #940	C₂³	semidirect
298. #940	C₂³	semidirect
299. #940	C₂³	semidirect
300. #940	C₂³	semidirect
301. #939	C₂³	semidirect
302. #939	C₂³	semidirect
303. #939	C₂³	semidirect
304. #939	C₂³	semidirect
305. #939	C₂³	semidirect
306. #939	C₂³	semidirect
307. #939	C₂³	semidirect
308. #939	C₂³	semidirect
310. #938	C₂³	semidirect
311. #938	C₂³	semidirect
312. #938	C₂³	semidirect
313. #938	C₂³	semidirect
314. #938	C₂³	semidirect
315. #938	C₂³	semidirect
316. #938	C₂³	semidirect
317. #938	C₂³	semidirect
318. #938	C₂³	semidirect
319. #938	C₂³	semidirect
320. #938	C₂³	semidirect
321. #938	C₂³	semidirect
324. #937	C₂³	semidirect
325. #937	C₂³	semidirect
326. #937	C₂³	semidirect
327. #937	C₂³	semidirect
328. #937	C₂³	semidirect
329. #937	C₂³	semidirect
330. #937	C₂³	semidirect
331. #937	C₂³	semidirect
332. #937	C₂³	semidirect
333. #937	C₂³	semidirect
334. #937	C₂³	semidirect
335. #937	C₂³	semidirect
336. #937	C₂³	semidirect
337. #936	C₂³	semidirect
338. #936	C₂³	semidirect
339. #936	C₂³	semidirect
340. #935	C₂³	semidirect
341. #935	C₂³	semidirect
342. D₄×Dic₃	C₂³	semidirect
343. D₄×Dic₃	C₂³	semidirect
344. D₄×Dic₃	C₂³	semidirect
345. D₄×Dic₃	C₂³	semidirect
346. #930	C₂³	semidirect
347. #930	C₂³	semidirect
348. #930	C₂³	semidirect
349. #930	C₂³	semidirect
350. #930	C₂³	semidirect
351. #929	C₂³	semidirect
352. #929	C₂³	semidirect
353. #929	C₂³	semidirect
355. C₄×#67	C₂³	semidirect
356. C₄×#67	C₂³	semidirect
357. C₄×#67	C₂³	semidirect
358. C₄×#67	C₂³	semidirect
359. C₄×#67	C₂³	semidirect
360. C₄×#67	C₂³	semidirect
361. C₄×#67	C₂³	semidirect
362. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
363. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
364. #926	C₂³	semidirect
365. #926	C₂³	semidirect
366. C₂×C₄⋊Dic₃	C₂³	semidirect
367. #898	C₂³	semidirect
368. #898	C₂³	semidirect
369. #898	C₂³	semidirect
370. #897	C₂³	semidirect
371. #897	C₂³	semidirect
372. #896	C₂³	semidirect
373. #896	C₂³	semidirect
374. #896	C₂³	semidirect
376. #895	C₂³	semidirect
377. #895	C₂³	semidirect
378. #895	C₂³	semidirect
379. #895	C₂³	semidirect
380. #895	C₂³	semidirect
381. #895	C₂³	semidirect
382. #895	C₂³	semidirect
383. #894	C₂³	semidirect
384. #894	C₂³	semidirect
385. #894	C₂³	semidirect
386. #894	C₂³	semidirect
387. #894	C₂³	semidirect
390. #893	C₂³	semidirect
391. #893	C₂³	semidirect
392. #893	C₂³	semidirect
393. #893	C₂³	semidirect
394. #892	C₂³	semidirect
395. #892	C₂³	semidirect
396. #892	C₂³	semidirect
397. D₃×C₄⋊C₄	C₂³	semidirect
398. D₃×C₄⋊C₄	C₂³	semidirect
399. D₃×C₄⋊C₄	C₂³	semidirect
400. #890	C₂³	semidirect
401. #889	C₂³	semidirect
402. #888	C₂³	semidirect
403. #886	C₂³	semidirect
404. #886	C₂³	semidirect
405. #885	C₂³	semidirect
406. #885	C₂³	semidirect
407. #885	C₂³	semidirect
408. #885	C₂³	semidirect
409. #885	C₂³	semidirect
411. #884	C₂³	semidirect
412. #884	C₂³	semidirect
413. #884	C₂³	semidirect
414. #884	C₂³	semidirect
415. #884	C₂³	semidirect
416. #884	C₂³	semidirect
417. #884	C₂³	semidirect
418. #884	C₂³	semidirect
419. #884	C₂³	semidirect
420. #884	C₂³	semidirect
421. #883	C₂³	semidirect
422. #883	C₂³	semidirect
423. #883	C₂³	semidirect
424. #883	C₂³	semidirect
425. #883	C₂³	semidirect
427. #882	C₂³	semidirect
428. #882	C₂³	semidirect
429. #882	C₂³	semidirect
430. #882	C₂³	semidirect
431. #882	C₂³	semidirect
432. #882	C₂³	semidirect
433. #882	C₂³	semidirect
434. #882	C₂³	semidirect
435. #882	C₂³	semidirect
436. #882	C₂³	semidirect
437. #882	C₂³	semidirect
438. #882	C₂³	semidirect
439. #882	C₂³	semidirect
441. #67⋊C₄	C₂³	semidirect
442. #67⋊C₄	C₂³	semidirect
443. #67⋊C₄	C₂³	semidirect
444. #67⋊C₄	C₂³	semidirect
445. #67⋊C₄	C₂³	semidirect
446. D₃×C₂²⋊C₄	C₂³	semidirect
447. D₃×C₂²⋊C₄	C₂³	semidirect
448. D₃×C₂²⋊C₄	C₂³	semidirect
449. D₃×C₂²⋊C₄	C₂³	semidirect
450. D₃×C₂²⋊C₄	C₂³	semidirect
451. D₃×C₂²⋊C₄	C₂³	semidirect
452. D₃×C₂²⋊C₄	C₂³	semidirect
453. D₃×C₂²⋊C₄	C₂³	semidirect
454. D₃×C₂²⋊C₄	C₂³	semidirect
455. #879	C₂³	semidirect
456. #879	C₂³	semidirect
457. #879	C₂³	semidirect
458. #878	C₂³	semidirect
459. #877	C₂³	semidirect
460. #877	C₂³	semidirect
461. #875	C₂³	semidirect
462. #874	C₂³	semidirect
463. #874	C₂³	semidirect
467. C₄×D₁₂	C₂³	semidirect
468. C₄×D₁₂	C₂³	semidirect
469. C₄×D₁₂	C₂³	semidirect
470. C₄×D₁₂	C₂³	semidirect
471. C₄×D₁₂	C₂³	semidirect
472. C₄×D₁₂	C₂³	semidirect
473. C₄×D₁₂	C₂³	semidirect
474. C₄×D₁₂	C₂³	semidirect
475. C₄×D₁₂	C₂³	semidirect
476. #872	C₂³	semidirect
477. #872	C₂³	semidirect
478. #872	C₂³	semidirect
479. C₄²×D₃	C₂³	semidirect
480. C₄²×D₃	C₂³	semidirect
481. C₄²×D₃	C₂³	semidirect
482. #870	C₂³	semidirect
483. #869	C₂³	semidirect
484. C₄×Dic₆	C₂³	semidirect
495. #560	C₂×D₃	semidirect
497. #559	C₂×D₃	semidirect
518. #550	C₂×D₃	semidirect
533. #546	C₂×D₃	semidirect
563. D₄²	C₂×D₃	semidirect
564. D₄²	C₂×D₃	semidirect
569. #540	C₂×D₃	semidirect
586. #535	C₂×D₃	semidirect
594. #534	C₂×D₃	semidirect
603. C₂×#127	C₂×D₃	semidirect
607. #529	C₂×D₃	semidirect
847. C₂×#41	C₂²×D₃	semidirect
881. C₂²×D₄	C₂²×D₃	semidirect
882. C₂²×D₄	C₂²×D₃	semidirect
883. C₂²×D₄	C₂²×D₃	semidirect
884. C₂²×D₄	C₂²×D₃	semidirect
901. #127	C₂²×D₃	semidirect
902. #127	C₂²×D₃	semidirect
903. #127	C₂²×D₃	semidirect
904. #127	C₂²×D₃	semidirect
911. #126	C₂²×D₃	semidirect
915. #125	C₂²×D₃	semidirect
926. #124	C₂²×D₃	semidirect
927. #124	C₂²×D₃	semidirect
945. #123	C₂²×D₃	semidirect
946. #123	C₂²×D₃	semidirect
947. #123	C₂²×D₃	semidirect
948. #123	C₂²×D₃	semidirect
957. C₂²⋊Q₈	C₂²×D₃	semidirect
1004. #121	C₂²×D₃	semidirect
1005. #121	C₂²×D₃	semidirect
1006. #121	C₂²×D₃	semidirect
1007. #121	C₂²×D₃	semidirect
1008. #121	C₂²×D₃	semidirect
1009. #121	C₂²×D₃	semidirect
1043. #120	C₂²×D₃	semidirect
1044. #120	C₂²×D₃	semidirect
1045. #120	C₂²×D₃	semidirect
1046. #120	C₂²×D₃	semidirect
1049. C₄×Q₈	C₂²×D₃	semidirect
1086. C₄×D₄	C₂²×D₃	semidirect
1087. C₄×D₄	C₂²×D₃	semidirect
1088. C₄×D₄	C₂²×D₃	semidirect
1089. C₄×D₄	C₂²×D₃	semidirect
1100. #117	C₂²×D₃	semidirect
1117. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1121. C₂×C₄²	C₂²×D₃	semidirect
1199. #67	H(5,𝔽₂)	semidirect
1222. D₁₂	H(5,𝔽₂)	semidirect
1663. C₃	#63011	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
#87080	2
#87071	2
#87066	2
#87050	2
#86775	2
#86770	2
#86662	2
#86640	2
#86623	2
D₃×D₄²	2
#86617	2
#86491	2
#86488	2
#86336	2
#86330	2
#86310	2
#86308	2
#86195	2
C₂×#5717	2
#86166	2
#86153	2
#63011	3