Subgroups — D₃×#7622880 #72255277

Order 3072.

Only the 4573 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1222 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72255253	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#7622880	C₂	1	1	yes	maximal, characteristic, complemented
3	#72255248	C₂	1	2	yes	maximal, complemented
4	D₃×#33559	C₂	1	2	yes	maximal, complemented
5	#72255244	C₂	1	2	yes	maximal, complemented
6	#72255242	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×#33348	C₂	1	2	yes	maximal, complemented
8	#72255236	C₂	1	2	yes	maximal, complemented
9	D₃×#33359	C₂	1	1	yes	maximal, characteristic, complemented
10	#72255228	C₂	1	1	yes	maximal, characteristic, complemented
11	#72255227	C₂	1	4	yes	maximal, complemented
12	D₃×#33557	C₂	1	4	yes	maximal, complemented
13	#72255224	C₂	1	4	yes	maximal, complemented
14	#72255222	C₂	1	2	yes	maximal, complemented
15	#72255219	C₂	1	4	yes	maximal, complemented
16	#72255218	C₂	1	8	yes	maximal, complemented
17	D₃×#33546	C₂	1	2	yes	maximal, complemented
18	D₃×#33553	C₂	1	4	yes	maximal, complemented
19	D₃×#63011	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×D₃×#2196	C₂	1	4	yes	maximal, complemented
21	D₃×#60399	C₂	1	2	yes	maximal, complemented
22	D₃×#60388	C₂	1	1	yes	maximal, characteristic, complemented
23	D₃×#33551	C₂	1	8	yes	maximal, complemented
24	D₃×H(7,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
25	#11707698	C₂²	1	4	yes	complemented
26	#11707697	C₂²	1	2	yes	complemented
27	#11707695	C₂²	1	2	yes	complemented
28	#11707694	C₂²	1	1	yes	characteristic, complemented
29	#11707693	C₂²	1	2	yes	complemented
30	#11707692	C₂²	1	1	yes	characteristic, complemented
31	#11707691	C₂²	1	1	yes	characteristic, complemented
32	#11707690	C₂²	1	2	yes	complemented
33	D₃×#3498	C₂²	1	1	yes	characteristic
34	D₃×#3484	C₂²	1	2	yes	—
35	D₃×#3549	C₂²	1	1	yes	characteristic, complemented
36	D₃×#3543	C₂²	1	2	yes	complemented
37	D₃×#3537	C₂²	1	2	yes	complemented
38	D₃×#3532	C₂²	1	4	yes	complemented
39	D₃×#3481	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₃×D₄²	C₂²	1	2	yes	complemented
41	#11661941	C₂²	1	2	yes	complemented
42	#11661940	C₂²	1	4	yes	complemented
43	#11661939	C₂²	1	8	yes	complemented
44	#11661938	C₂²	1	2	yes	complemented
45	#11661937	C₂²	1	2	yes	complemented
46	#11661936	C₂²	1	4	yes	complemented
47	#11661935	C₂²	1	8	yes	complemented
48	D₃×#3027	C₂²	1	4	yes	complemented
49	D₃×#3026	C₂²	1	8	yes	complemented
50	D₃×#3025	C₂²	1	4	yes	complemented
51	C₂×D₃×B(4,𝔽₂)	C₂²	1	8	yes	complemented
52	#11661870	C₂²	1	1	yes	characteristic, complemented
53	#11661868	C₂²	1	1	yes	characteristic, complemented
54	#11661867	C₂²	1	1	yes	characteristic, complemented
55	#11661866	C₂²	1	4	yes	complemented
56	#11661865	C₂²	1	2	yes	complemented
57	#11661863	C₂²	1	2	yes	complemented
58	#11661862	C₂²	1	4	yes	complemented
59	D₃×#3021	C₂²	1	2	yes	complemented
60	D₃×#3019	C₂²	1	4	yes	complemented
61	D₃×#3018	C₂²	1	2	yes	complemented
62	C₂×D₃×#453	C₂²	1	4	yes	complemented
63	D₃×#2888	C₂²	1	1	yes	characteristic, complemented
64	D₃×#2883	C₂²	1	2	yes	complemented
65	#10949321	C₂²	1	2	yes	complemented
66	#10949320	C₂²	1	4	yes	complemented
67	#10949319	C₂²	1	2	yes	complemented
68	#10949318	C₂²	1	2	yes	complemented
69	#10949317	C₂²	1	8	yes	complemented
70	#10949316	C₂²	1	4	yes	complemented
71	#10949315	C₂²	1	8	yes	complemented
72	#10949306	C₂²	1	4	yes	complemented
73	#10949305	C₂²	1	8	yes	complemented
74	#10949304	C₂²	1	4	yes	complemented
75	#10949303	C₂²	1	8	yes	complemented
76	#10949302	C₂²	1	4	yes	complemented
77	#10949301	C₂²	1	16	yes	complemented
78	#10949300	C₂²	1	8	yes	complemented
79	#10949299	C₂²	1	8	yes	complemented
80	#10949271	C₂²	1	4	yes	complemented
81	#10949270	C₂²	1	4	yes	complemented
82	#10949269	C₂²	1	4	yes	complemented
83	#10949268	C₂²	1	4	yes	complemented
84	#10949267	C₂²	1	4	yes	complemented
85	#10949266	C₂²	1	4	yes	complemented
86	#10949265	C₂²	1	16	yes	complemented
87	#10949264	C₂²	1	4	yes	complemented
88	#10949263	C₂²	1	16	yes	complemented
89	#10949251	C₂²	1	8	yes	complemented
90	#10949250	C₂²	1	8	yes	complemented
91	#10949249	C₂²	1	8	yes	complemented
92	#10949248	C₂²	1	8	yes	complemented
93	#10949247	C₂²	1	16	yes	complemented
94	#10949246	C₂²	1	8	yes	complemented
95	#10949245	C₂²	1	16	yes	complemented
96	#10949244	C₂²	1	8	yes	complemented
97	#10949243	C₂²	1	16	yes	complemented
98	#10949242	C₂²	1	8	yes	complemented
99	#10949241	C₂²	1	16	yes	complemented
100	D₃×#2200	C₂²	1	16	yes	complemented
101	D₃×#2199	C₂²	1	8	yes	complemented
102	#10949212	C₂²	1	2	yes	complemented
103	#10949211	C₂²	1	4	yes	complemented
104	#10949210	C₂²	1	2	yes	complemented
105	#10949209	C₂²	1	4	yes	complemented
106	#10949208	C₂²	1	2	yes	complemented
107	#10949207	C₂²	1	8	yes	complemented
108	#10949206	C₂²	1	4	yes	complemented
109	#10949205	C₂²	1	4	yes	complemented
110	D₃×#2198	C₂²	1	4	yes	complemented
111	D₃×#2197	C₂²	1	8	yes	complemented
112	C₂×#69146	C₂²	1	4	yes	complemented
113	C₂×#69130	C₂²	1	8	yes	complemented
114	C₂×#71909	C₂²	1	4	yes	complemented
115	C₂×#70984	C₂²	1	4	yes	complemented
116	C₂×#70996	C₂²	1	8	yes	complemented
117	D₃×#2196	C₂²	1	4	yes	complemented
118	D₃×#2196	C₂²	1	8	yes	complemented
119	D₃×#2196	C₂²	1	16	yes	complemented
120	D₃×#2196	C₂²	1	8	yes	complemented
121	D₃×#2196	C₂²	1	16	yes	complemented
122	D₃×#2196	C₂²	1	8	yes	complemented
123	#10947992	C₂²	1	1	yes	characteristic, complemented
124	#10947991	C₂²	1	2	yes	complemented
125	#10947990	C₂²	1	4	yes	complemented
126	#10947989	C₂²	1	2	yes	complemented
127	#10947988	C₂²	1	2	yes	complemented
128	#10947987	C₂²	1	4	yes	complemented
129	D₃×#2128	C₂²	1	2	yes	complemented
130	D₃×#2127	C₂²	1	4	yes	complemented
131	D₃×#2126	C₂²	1	2	yes	complemented
132	C₂×D₃×#353	C₂²	1	4	yes	complemented
133	#10947939	C₂²	1	2	yes	complemented
134	#10947938	C₂²	1	2	yes	complemented
135	#10947937	C₂²	1	4	yes	complemented
136	#10947936	C₂²	1	8	yes	complemented
137	#10947935	C₂²	1	2	yes	complemented
138	#10947934	C₂²	1	4	yes	complemented
139	#10947933	C₂²	1	8	yes	complemented
140	D₃×#2122	C₂²	1	4	yes	complemented
141	D₃×#2121	C₂²	1	8	yes	complemented
142	D₃×#2120	C₂²	1	4	yes	complemented
143	C₂×D₃×AΣL(1,𝔽₁₆)	C₂²	1	8	yes	complemented
144	C₃×#63011	C₂²	1	1	yes	characteristic, complemented
145	C₃×#60399	C₂²	1	2	yes	complemented
146	C₃×#60388	C₂²	1	1	yes	characteristic, complemented
147	C₃×#33559	C₂²	1	2	yes	complemented
148	C₃×#33557	C₂²	1	4	yes	complemented
149	C₃×#33553	C₂²	1	4	yes	complemented
150	C₃×#33551	C₂²	1	8	yes	complemented
151	C₃×#33546	C₂²	1	2	yes	complemented
152	C₂×C₃×#2196	C₂²	1	4	yes	complemented
153	C₃×#33359	C₂²	1	1	yes	characteristic, complemented
154	C₃×#33348	C₂²	1	2	yes	complemented
155	#7622880	D₃	1	1	yes	characteristic, direct product factor
156	C₃×H(7,𝔽₂)	C₂³	1	1	yes	characteristic, complemented
157	#87574	C₂³	1	2	yes	complemented
158	D₃×#585	C₂³	1	2	yes	complemented
159	#87568	C₂³	1	4	yes	complemented
160	#87568	C₂³	1	1	yes	characteristic, complemented
161	C₂×D₃×H(5,𝔽₂)	D₄	1	1	yes	characteristic, complemented
162	C₂×D₃×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
163	C₂×D₃×H(5,𝔽₂)	C₂³	1	4	yes	complemented
164	C₂³×D₃×D₄	D₄	1	2	yes	complemented
165	C₃×#3549	C₂³	1	1	yes	characteristic, complemented
166	C₃×#3543	C₂³	1	2	yes	complemented
167	C₃×#3537	C₂³	1	2	yes	complemented
168	C₃×#3532	C₂³	1	4	yes	complemented
169	C₃×#3498	C₂³	1	1	yes	characteristic
170	C₃×#3484	C₂³	1	2	yes	—
171	C₃×#3481	C₂³	1	1	yes	characteristic, complemented
172	C₂×C₃×D₄²	C₂³	1	2	yes	complemented
173	#87284	C₂³	1	2	yes	—
174	#87282	D₄	1	1	yes	characteristic, complemented
175	#87282	C₂³	1	1	yes	characteristic
176	#87239	D₄	1	2	yes	complemented
177	#87090	C₂³	1	4	yes	complemented
178	D₃×H(3,𝔽₄)	C₂³	1	2	yes	complemented
179	#87087	C₂³	1	2	yes	complemented
180	#87083	C₂³	1	4	yes	complemented
181	#87080	C₂³	1	4	yes	complemented
182	D₃×#560	C₂³	1	4	yes	complemented
183	#87071	C₂³	1	4	yes	complemented
184	#87066	C₂³	1	2	yes	complemented
185	D₃×#559	C₂³	1	1	yes	characteristic, complemented
186	#87050	C₂³	1	1	yes	characteristic, complemented
187	#86818	C₂³	1	4	yes	complemented
188	D₃×#551	C₂³	1	2	yes	complemented
189	#86791	C₂³	1	2	yes	complemented
190	#86624	C₂³	1	2	yes	complemented
191	#86622	C₂³	1	4	yes	complemented
192	D₃×D₄²	C₂³	1	4	yes	complemented
193	D₃×D₄²	C₂³	1	2	yes	complemented
194	D₃×D₄²	C₂³	1	2	yes	complemented
195	D₃×D₄²	C₂³	1	4	yes	complemented
196	D₃×D₄²	C₂³	1	1	yes	characteristic, complemented
197	D₃×D₄²	C₂³	1	2	yes	complemented
198	#86617	C₂³	1	2	yes	complemented
199	#86614	C₂³	1	4	yes	complemented
200	#86606	C₂³	1	1	yes	characteristic, complemented
201	#86334	C₂³	1	2	yes	complemented
202	#86334	C₂³	1	2	yes	complemented
203	#86333	C₂³	1	4	yes	complemented
204	#86330	D₄	1	2	yes	complemented
205	#86330	C₂³	1	2	yes	—
206	D₃×#535	D₄	1	1	yes	characteristic, complemented
207	D₃×#535	D₄	1	2	yes	complemented
208	D₃×#535	D₄	1	2	yes	complemented
209	D₃×#535	C₂³	1	1	yes	characteristic
210	D₃×#535	C₂³	1	2	yes	—
211	D₃×#535	C₂³	1	2	yes	—
212	#86326	C₂³	1	2	yes	complemented
213	#86316	D₄	1	1	yes	characteristic, complemented
214	#86316	D₄	1	2	yes	complemented
215	#86316	C₂³	1	1	yes	characteristic
216	#86316	C₂³	1	2	yes	—
217	#86310	C₂³	1	4	yes	complemented
218	#86308	D₄	1	4	yes	complemented
219	#86308	C₂³	1	4	yes	—
220	D₃×#534	D₄	1	4	yes	complemented
221	D₃×#534	C₂³	1	4	yes	—
222	#86303	C₂³	1	4	yes	complemented
223	#86252	C₂³	1	1	yes	characteristic, complemented
224	#86242	D₄	1	2	yes	complemented
225	#86242	C₂³	1	1	yes	characteristic
226	#86239	C₂³	1	1	yes	characteristic, complemented
227	D₃×#532	D₄	1	2	yes	complemented
228	D₃×#532	C₂³	1	1	yes	characteristic
229	#86197	C₂³	1	2	yes	complemented
230	#86195	D₄	1	1	yes	characteristic, complemented
231	#86195	C₂³	1	2	yes	—
232	C₂×#5717	C₂³	1	2	yes	complemented
233	C₂×D₃×#127	D₄	1	1	yes	characteristic, complemented
234	C₂×D₃×#127	C₂³	1	2	yes	—
235	#86052	C₂³	1	2	yes	complemented
236	#86039	D₄	1	2	yes	complemented
237	#86039	C₂³	1	2	yes	—
238	#86038	C₂³	1	2	yes	complemented
239	D₃×#525	D₄	1	2	yes	complemented
240	D₃×#525	C₂³	1	2	yes	—
241	#85921	C₂³	1	4	yes	complemented
242	#85919	D₄	1	4	yes	complemented
243	#85919	C₂³	1	4	yes	—
244	C₂×#5590	C₂³	1	4	yes	complemented
245	C₂×D₃×#120	D₄	1	4	yes	complemented
246	C₂×D₃×#120	C₂³	1	4	yes	—
247	#85867	D₄	1	2	yes	complemented
248	D₃×#518	D₄	1	2	yes	complemented
249	#85846	D₄	1	1	yes	characteristic, complemented
250	C₄×D₃×#41	D₄	1	1	yes	characteristic, complemented
251	C₃×#3027	C₂³	1	4	yes	complemented
252	C₃×#3026	C₂³	1	8	yes	complemented
253	C₃×#3025	C₂³	1	4	yes	complemented
254	C₂×C₃×B(4,𝔽₂)	C₂³	1	8	yes	complemented
255	C₃×#3021	C₂³	1	2	yes	complemented
256	C₃×#3019	C₂³	1	4	yes	complemented
257	C₃×#3018	C₂³	1	2	yes	complemented
258	C₂×C₃×#453	C₂³	1	4	yes	complemented
259	C₃×#2888	C₂³	1	1	yes	characteristic, complemented
260	C₃×#2883	C₂³	1	2	yes	complemented
261	#84126	C₂³	1	4	yes	complemented
262	#84125	C₂³	1	4	yes	complemented
263	#84122	C₂³	1	2	yes	complemented
264	#84121	C₂³	1	2	yes	complemented
265	#84110	C₂³	1	8	yes	complemented
266	C₂×#5244	C₂³	1	8	yes	complemented
267	#84107	C₂³	1	2	yes	complemented
268	#84104	C₂³	1	4	yes	complemented
269	C₂×#5241	C₂³	1	4	yes	complemented
270	#84100	C₂³	1	1	yes	characteristic, complemented
271	#83396	C₂³	1	4	yes	complemented
272	#83395	C₂³	1	2	yes	complemented
273	#83394	C₂³	1	4	yes	complemented
274	#83375	C₂³	1	8	yes	complemented
275	#83322	C₂³	1	2	yes	complemented
276	C₂×#5077	C₂³	1	4	yes	complemented
277	#82936	C₂³	1	4	yes	complemented
278	C₂×#5032	C₂³	1	8	yes	complemented
279	#80311	C₂³	1	16	yes	complemented
280	D₃×#458	C₂³	1	8	yes	complemented
281	#80308	C₂³	1	8	yes	complemented
282	#80307	C₂³	1	16	yes	complemented
283	D₃×B(4,𝔽₂)	C₂³	1	8	yes	—
284	D₃×B(4,𝔽₂)	C₂³	1	16	yes	complemented
285	D₃×B(4,𝔽₂)	C₂³	1	16	yes	complemented
286	D₃×B(4,𝔽₂)	C₂³	1	16	yes	complemented
287	#80305	C₂³	1	16	yes	complemented
288	#80304	C₂³	1	8	yes	complemented
289	#80292	C₂³	1	8	yes	complemented
290	#80291	C₂³	1	4	yes	complemented
291	D₃×#455	C₂³	1	4	yes	complemented
292	#80279	C₂³	1	8	yes	complemented
293	#80278	C₂³	1	8	yes	complemented
294	#80277	C₂³	1	4	yes	complemented
295	D₃×#453	C₂³	1	4	yes	—
296	D₃×#453	C₂³	1	8	yes	complemented
297	D₃×#453	C₂³	1	8	yes	complemented
298	D₃×#453	C₂³	1	8	yes	complemented
299	#78717	C₂³	1	2	yes	complemented
300	#78716	C₂³	1	2	yes	complemented
301	#78714	C₂³	1	2	yes	complemented
302	D₃×#413	C₂³	1	2	yes	complemented
303	#78700	C₂³	1	4	yes	complemented
304	C₂×#4747	C₂³	1	4	yes	complemented
305	#78697	C₂³	1	4	yes	complemented
306	C₂×D₃×#100	C₂³	1	4	yes	complemented
307	#78694	C₂³	1	4	yes	complemented
308	D₃×#410	C₂³	1	4	yes	complemented
309	#78691	C₂³	1	4	yes	complemented
310	#78690	C₂³	1	4	yes	complemented
311	#78688	C₂³	1	8	yes	complemented
312	C₂×D₃×#99	C₂³	1	8	yes	complemented
313	#78686	C₂³	1	8	yes	complemented
314	C₂×#4741	C₂³	1	8	yes	complemented
315	C₃×#2200	C₂³	1	16	yes	complemented
316	C₃×#2199	C₂³	1	8	yes	complemented
317	C₃×#2198	C₂³	1	4	yes	complemented
318	C₃×#2197	C₂³	1	8	yes	complemented
319	C₃×#2196	C₂³	1	4	yes	complemented
320	C₃×#2196	C₂³	1	8	yes	complemented
321	C₃×#2196	C₂³	1	16	yes	complemented
322	C₃×#2128	C₂³	1	2	yes	complemented
323	C₃×#2127	C₂³	1	4	yes	complemented
324	C₃×#2126	C₂³	1	2	yes	complemented
325	C₂×C₃×#353	C₂³	1	4	yes	complemented
326	C₃×#2122	C₂³	1	4	yes	complemented
327	C₃×#2121	C₂³	1	8	yes	complemented
328	C₃×#2120	C₂³	1	4	yes	complemented
329	C₂×C₃×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
330	#71950	C₂³	1	8	yes	complemented
331	#71947	C₂³	1	16	yes	complemented
332	#71946	C₂³	1	4	yes	complemented
333	#71922	C₂³	1	8	yes	complemented
334	#71909	C₂³	1	4	yes	complemented
335	#71909	C₂³	1	16	yes	complemented
336	#71909	C₂³	1	8	yes	complemented
337	#71861	C₂³	1	2	yes	complemented
338	#71860	C₂³	1	4	yes	complemented
339	#71859	C₂³	1	4	yes	complemented
340	#71847	C₂³	1	8	yes	complemented
341	#71819	C₂³	1	2	yes	complemented
342	C₂×#4545	C₂³	1	4	yes	complemented
343	#71716	C₂³	1	4	yes	complemented
344	C₂×#4536	C₂³	1	8	yes	complemented
345	#71002	C₂³	1	8	yes	complemented
346	#71001	C₂³	1	16	yes	complemented
347	#71000	C₂³	1	8	yes	complemented
348	#70999	C₂³	1	16	yes	complemented
349	#70998	C₂³	1	8	yes	complemented
350	#70997	C₂³	1	16	yes	complemented
351	#70996	C₂³	1	8	yes	complemented
352	#70996	C₂³	1	16	yes	complemented
353	#70996	C₂³	1	16	yes	complemented
354	#70996	C₂³	1	16	yes	complemented
355	#70991	C₂³	1	8	yes	complemented
356	#70990	C₂³	1	8	yes	complemented
357	#70986	C₂³	1	4	yes	complemented
358	#70985	C₂³	1	16	yes	complemented
359	#70984	C₂³	1	4	yes	complemented
360	#70984	C₂³	1	16	yes	complemented
361	#70984	C₂³	1	8	yes	complemented
362	#70146	C₂³	1	4	yes	complemented
363	#70145	C₂³	1	4	yes	complemented
364	#70094	C₂³	1	8	yes	complemented
365	C₂×#4475	C₂³	1	8	yes	complemented
366	#70061	C₂³	1	4	yes	complemented
367	#70060	C₂³	1	4	yes	complemented
368	#70057	C₂³	1	4	yes	complemented
369	#70056	C₂³	1	4	yes	complemented
370	#70019	C₂³	1	8	yes	complemented
371	C₂×#4474	C₂³	1	8	yes	complemented
372	#70015	C₂³	1	8	yes	complemented
373	C₂×#4471	C₂³	1	8	yes	complemented
374	#69158	C₂³	1	4	yes	complemented
375	#69157	C₂³	1	8	yes	complemented
376	D₃×#354	C₂³	1	4	yes	complemented
377	#69154	C₂³	1	8	yes	complemented
378	#69153	C₂³	1	8	yes	complemented
379	#69152	C₂³	1	8	yes	complemented
380	#69151	C₂³	1	4	yes	complemented
381	#69150	C₂³	1	8	yes	complemented
382	D₃×#353	C₂³	1	4	yes	complemented
383	D₃×#353	C₂³	1	8	yes	complemented
384	D₃×#353	C₂³	1	8	yes	complemented
385	D₃×#353	C₂³	1	8	yes	complemented
386	#69148	C₂³	1	4	yes	complemented
387	#69147	C₂³	1	16	yes	complemented
388	#69146	C₂³	1	4	yes	complemented
389	#69146	C₂³	1	16	yes	complemented
390	#69146	C₂³	1	8	yes	complemented
391	#69144	C₂³	1	8	yes	complemented
392	#69143	C₂³	1	16	yes	complemented
393	D₃×#352	C₂³	1	8	yes	complemented
394	#69140	C₂³	1	8	yes	complemented
395	#69139	C₂³	1	16	yes	complemented
396	#69138	C₂³	1	8	yes	complemented
397	#69137	C₂³	1	16	yes	complemented
398	#69136	C₂³	1	8	yes	complemented
399	#69135	C₂³	1	16	yes	complemented
400	D₃×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
401	D₃×AΣL(1,𝔽₁₆)	C₂³	1	16	yes	complemented
402	D₃×AΣL(1,𝔽₁₆)	C₂³	1	16	yes	complemented
403	D₃×AΣL(1,𝔽₁₆)	C₂³	1	16	yes	complemented
404	#69133	C₂³	1	16	yes	complemented
405	#69132	C₂³	1	8	yes	complemented
406	#69131	C₂³	1	16	yes	complemented
407	#69130	C₂³	1	8	yes	complemented
408	#69130	C₂³	1	16	yes	complemented
409	#69130	C₂³	1	16	yes	complemented
410	#69130	C₂³	1	16	yes	complemented
411	#63011	C₂×D₃	1	1	yes	characteristic, complemented
412	#60399	C₂×D₃	1	2	yes	complemented
413	#60388	C₂×D₃	1	1	yes	characteristic, complemented
414	#33559	C₂×D₃	1	2	yes	complemented
415	#33557	C₂×D₃	1	4	yes	complemented
416	#33553	C₂×D₃	1	4	yes	complemented
417	#33551	C₂×D₃	1	8	yes	complemented
418	#33546	C₂×D₃	1	2	yes	complemented
419	C₂×#2196	C₂×D₃	1	4	yes	complemented
420	#33359	C₂×D₃	1	1	yes	characteristic, complemented
421	#33348	C₂×D₃	1	2	yes	complemented
422	C₂⁵×D₃	C₂×D₄	1	4	yes	complemented
423	C₃×#585	C₂⁴	1	2	yes	complemented
424	C₂×C₃×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
425	C₂×C₃×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
426	C₂×C₃×H(5,𝔽₂)	C₂⁴	1	4	yes	complemented
427	C₂³×C₃×D₄	C₂×D₄	1	2	yes	complemented
428	C₂³×#67	C₂×D₄	1	4	yes	complemented
429	#5966	C₂⁴	1	4	yes	complemented
430	D₃×H(5,𝔽₂)	C₂⁴	1	4	yes	—
431	D₃×H(5,𝔽₂)	C₂⁴	1	8	yes	complemented
432	#5964	C₂⁴	1	2	yes	complemented
433	C₂×#1009	C₂×D₄	1	2	yes	—
434	C₂×#1009	C₂×D₄	1	2	yes	—
435	C₂×#1009	C₂×D₄	1	1	yes	characteristic
436	C₂×#1009	C₂×D₄	1	1	yes	characteristic, complemented
437	C₂×#1009	C₂×D₄	1	1	yes	characteristic, complemented
438	C₂×#1009	C₂×D₄	1	2	yes	complemented
439	C₂×#1009	C₂⁴	1	1	yes	characteristic
440	C₂×D₃×#41	C₂×D₄	1	2	yes	—
441	C₂×D₃×#41	C₂×D₄	1	2	yes	—
442	C₂×D₃×#41	C₂×D₄	1	1	yes	characteristic
443	C₂×D₃×#41	C₂×D₄	1	1	yes	characteristic, complemented
444	C₂×D₃×#41	C₂×D₄	1	2	yes	complemented
445	C₂×D₃×#41	C₂⁴	1	1	yes	characteristic
446	C₂×#1004	C₂×D₄	1	4	yes	—
447	C₂×#1004	C₂×D₄	1	2	yes	—
448	C₂×#1004	C₂×D₄	1	1	yes	characteristic
449	C₂×#1004	C₂×D₄	1	2	yes	complemented
450	C₂×#1004	C₂×D₄	1	1	yes	characteristic, complemented
451	C₂×#1004	C₂⁴	1	2	yes	—
452	C₂×#1004	C₂⁴	1	4	yes	complemented
453	C₂²×D₃×D₄	C₂×D₄	1	4	yes	—
454	C₂²×D₃×D₄	C₂×D₄	1	2	yes	—
455	C₂²×D₃×D₄	C₂×D₄	1	1	yes	characteristic
456	C₂²×D₃×D₄	C₂×D₄	1	2	yes	complemented
457	C₂²×D₃×D₄	C₂×D₄	1	1	yes	characteristic, complemented
458	C₂²×D₃×D₄	C₂×D₄	1	4	yes	complemented
459	C₂²×D₃×D₄	C₂×D₄	1	2	yes	complemented
460	C₂²×D₃×D₄	C₂×D₄	1	2	yes	complemented
461	C₂²×D₃×D₄	C₂×D₄	1	4	yes	complemented
462	C₂²×D₃×D₄	C₂×D₄	1	2	yes	complemented
463	C₂²×D₃×D₄	C₂⁴	1	2	yes	—
464	C₂³×D₁₂	C₂×D₄	1	2	yes	complemented
465	C₂³×C₄×D₃	C₂×D₄	1	2	yes	complemented
466	C₃×H(3,𝔽₄)	C₂⁴	1	2	yes	complemented
467	C₃×#560	C₂⁴	1	4	yes	complemented
468	C₃×#559	C₂⁴	1	1	yes	characteristic, complemented
469	C₃×#551	C₂⁴	1	2	yes	complemented
470	C₃×D₄²	C₂⁴	1	1	yes	characteristic, complemented
471	C₃×D₄²	C₂⁴	1	4	yes	complemented
472	C₃×D₄²	C₂⁴	1	2	yes	complemented
473	C₃×#535	C₂×D₄	1	2	yes	complemented
474	C₃×#535	C₂×D₄	1	1	yes	characteristic, complemented
475	C₃×#535	C₂×D₄	1	2	yes	complemented
476	C₃×#535	C₂⁴	1	2	yes	—
477	C₃×#535	C₂⁴	1	1	yes	characteristic
478	C₃×#535	C₂⁴	1	2	yes	—
479	C₃×#534	C₂×D₄	1	4	yes	complemented
480	C₃×#534	C₂⁴	1	4	yes	—
481	C₃×#532	C₂×D₄	1	2	yes	complemented
482	C₃×#532	C₂⁴	1	1	yes	characteristic
483	C₂×C₃×#127	C₂×D₄	1	1	yes	characteristic, complemented
484	C₂×C₃×#127	C₂⁴	1	2	yes	—
485	C₃×#525	C₂×D₄	1	2	yes	complemented
486	C₃×#525	C₂⁴	1	2	yes	—
487	C₂×C₃×#120	C₂×D₄	1	4	yes	complemented
488	C₂×C₃×#120	C₂⁴	1	4	yes	—
489	C₃×#518	C₂×D₄	1	2	yes	complemented
490	C₃×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
491	C₂×#953	C₂×D₄	1	4	yes	complemented
492	C₂×#953	C₂×D₄	1	4	yes	complemented
493	#5832	C₂×D₄	1	1	yes	characteristic, complemented
494	#5832	C₂×D₄	1	2	yes	complemented
495	#5832	C₂×D₄	1	2	yes	complemented
496	#5832	C₂⁴	1	1	yes	characteristic
497	#5830	C₂×D₄	1	2	yes	complemented
498	#5830	C₂×D₄	1	2	yes	complemented
499	#5830	C₂×D₄	1	1	yes	characteristic, complemented
500	#5830	C₂×D₄	1	2	yes	complemented
501	#5830	C₂⁴	1	2	yes	—
502	#5830	C₂⁴	1	1	yes	characteristic
503	#5828	C₂×D₄	1	2	yes	complemented
504	#5828	C₂⁴	1	2	yes	—
505	Dic₃×#41	C₂×D₄	1	1	yes	characteristic, complemented
506	#5805	C₂×D₄	1	1	yes	characteristic, complemented
507	#5805	C₂×D₄	1	2	yes	complemented
508	#5805	C₂×D₄	1	1	yes	characteristic, complemented
509	#5805	C₂×D₄	1	2	yes	complemented
510	#5805	C₂×D₄	1	2	yes	complemented
511	#5805	C₂⁴	1	2	yes	—
512	#5804	C₂×D₄	1	4	yes	complemented
513	#5804	C₂×D₄	1	4	yes	complemented
514	#5804	C₂×D₄	1	4	yes	complemented
515	#5804	C₂⁴	1	4	yes	—
516	C₂×#940	C₂×D₄	1	2	yes	complemented
517	C₂×#940	C₂×D₄	1	1	yes	characteristic, complemented
518	C₂×#940	C₂×D₄	1	1	yes	characteristic, complemented
519	C₂×#940	C₂⁴	1	2	yes	—
520	C₂×#937	C₂×D₄	1	4	yes	complemented
521	C₂×#937	C₂⁴	1	4	yes	—
522	#5798	C₂×D₄	1	2	yes	complemented
523	#5791	C₂×D₄	1	2	yes	complemented
524	#5791	C₂×D₄	1	2	yes	complemented
525	#5725	C₂×D₄	1	1	yes	characteristic, complemented
526	#5725	C₂×D₄	1	2	yes	complemented
527	D₃×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
528	#5720	C₂⁴	1	4	yes	complemented
529	#5717	C₂⁴	1	1	yes	characteristic, complemented
530	#5717	C₂⁴	1	2	yes	complemented
531	#5717	C₂⁴	1	4	yes	complemented
532	#5716	C₂×D₄	1	2	yes	complemented
533	#5716	C₂⁴	1	1	yes	characteristic
534	#5715	C₂×D₄	1	2	yes	complemented
535	#5715	C₂×D₄	1	2	yes	complemented
536	#5715	C₂×D₄	1	2	yes	complemented
537	#5715	C₂×D₄	1	2	yes	complemented
538	#5715	C₂⁴	1	2	yes	—
539	#5715	C₂⁴	1	2	yes	—
540	D₃×#127	C₂×D₄	1	2	yes	complemented
541	D₃×#127	C₂×D₄	1	2	yes	complemented
542	D₃×#127	C₂×D₄	1	2	yes	complemented
543	D₃×#127	C₂×D₄	1	2	yes	complemented
544	D₃×#127	C₂×D₄	1	2	yes	complemented
545	D₃×#127	C₂×D₄	1	2	yes	complemented
546	D₃×#127	C₂×D₄	1	2	yes	complemented
547	D₃×#127	C₂⁴	1	1	yes	characteristic
548	D₃×#127	C₂⁴	1	2	yes	—
549	D₃×#127	C₂⁴	1	2	yes	—
550	D₃×#127	C₂⁴	1	2	yes	—
551	#5713	C₂⁴	1	1	yes	characteristic, complemented
552	#5683	C₂⁴	1	2	yes	complemented
553	#5679	C₂⁴	1	2	yes	complemented
554	#5674	C₂×D₄	1	2	yes	complemented
555	#5674	C₂×D₄	1	2	yes	complemented
556	#5674	C₂×D₄	1	2	yes	complemented
557	#5674	C₂×D₄	1	2	yes	complemented
558	#5674	C₂×D₄	1	2	yes	complemented
559	#5674	C₂⁴	1	2	yes	—
560	D₃×#124	C₂×D₄	1	1	yes	characteristic, complemented
561	D₃×#124	C₂×D₄	1	2	yes	complemented
562	D₃×#124	C₂×D₄	1	2	yes	complemented
563	D₃×#124	C₂⁴	1	1	yes	characteristic
564	#5668	C₂×D₄	1	1	yes	characteristic, complemented
565	#5668	C₂×D₄	1	2	yes	complemented
566	#5668	C₂×D₄	1	2	yes	complemented
567	#5668	C₂⁴	1	1	yes	characteristic
568	#5666	C₂⁴	1	4	yes	complemented
569	#5664	C₂⁴	1	2	yes	complemented
570	#5659	C₂⁴	1	2	yes	complemented
571	#5656	C₂×D₄	1	2	yes	complemented
572	#5656	C₂×D₄	1	4	yes	complemented
573	#5656	C₂⁴	1	2	yes	—
574	#5653	C₂×D₄	1	4	yes	complemented
575	#5653	C₂×D₄	1	4	yes	complemented
576	#5653	C₂×D₄	1	4	yes	complemented
577	#5653	C₂⁴	1	4	yes	—
578	D₃×#123	C₂×D₄	1	4	yes	complemented
579	D₃×#123	C₂×D₄	1	2	yes	complemented
580	D₃×#123	C₂⁴	1	2	yes	—
581	#5595	C₂⁴	1	4	yes	complemented
582	#5594	C₂⁴	1	4	yes	complemented
583	#5592	C₂×D₄	1	4	yes	complemented
584	#5592	C₂×D₄	1	4	yes	complemented
585	#5592	C₂×D₄	1	4	yes	complemented
586	#5592	C₂⁴	1	4	yes	—
587	#5590	C₂⁴	1	2	yes	complemented
588	#5590	C₂⁴	1	4	yes	complemented
589	#5590	C₂⁴	1	4	yes	complemented
590	#5590	C₂⁴	1	4	yes	complemented
591	#5589	C₂×D₄	1	4	yes	complemented
592	#5589	C₂×D₄	1	4	yes	complemented
593	#5589	C₂×D₄	1	4	yes	complemented
594	#5589	C₂⁴	1	4	yes	—
595	D₃×#120	C₂×D₄	1	4	yes	complemented
596	D₃×#120	C₂×D₄	1	2	yes	complemented
597	D₃×#120	C₂×D₄	1	4	yes	complemented
598	D₃×#120	C₂×D₄	1	4	yes	complemented
599	D₃×#120	C₂×D₄	1	4	yes	complemented
600	D₃×#120	C₂×D₄	1	4	yes	complemented
601	D₃×#120	C₂×D₄	1	4	yes	complemented
602	D₃×#120	C₂×D₄	1	4	yes	complemented
603	D₃×#120	C₂×D₄	1	4	yes	complemented
604	D₃×#120	C₂×D₄	1	4	yes	complemented
605	D₃×#120	C₂×D₄	1	4	yes	complemented
606	D₃×#120	C₂⁴	1	2	yes	—
607	D₃×#120	C₂⁴	1	4	yes	—
608	D₃×#120	C₂⁴	1	4	yes	—
609	D₃×#120	C₂⁴	1	4	yes	—
610	#5587	C₂⁴	1	2	yes	complemented
611	#5586	C₂×D₄	1	2	yes	complemented
612	#5586	C₂×D₄	1	4	yes	complemented
613	#5586	C₂⁴	1	2	yes	—
614	#5525	C₂×D₄	1	1	yes	characteristic, complemented
615	#5525	C₂×D₄	1	2	yes	complemented
616	#5525	C₂×D₄	1	1	yes	characteristic, complemented
617	#5525	C₂×D₄	1	2	yes	complemented
618	#5525	C₂×D₄	1	2	yes	complemented
619	#5525	C₂×D₄	1	2	yes	complemented
620	#5524	C₂×D₄	1	2	yes	complemented
621	#5524	C₂×D₄	1	2	yes	complemented
622	#5522	C₂×D₄	1	1	yes	characteristic, complemented
623	#5522	C₂×D₄	1	2	yes	complemented
624	#5521	C₂×D₄	1	2	yes	complemented
625	#5521	C₂×D₄	1	2	yes	complemented
626	D₃×#117	C₂×D₄	1	1	yes	characteristic, complemented
627	D₃×#117	C₂×D₄	1	2	yes	complemented
628	D₃×#117	C₂×D₄	1	2	yes	complemented
629	D₃×#117	C₂×D₄	1	2	yes	complemented
630	#5493	C₂×D₄	1	4	yes	complemented
631	#5493	C₂×D₄	1	4	yes	complemented
632	C₂×#882	C₂×D₄	1	4	yes	complemented
633	C₂×#882	C₂×D₄	1	4	yes	complemented
634	#5486	C₂×D₄	1	4	yes	complemented
635	#5486	C₂×D₄	1	4	yes	complemented
636	C₂×D₃×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
637	C₂×D₃×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
638	#5477	C₂×D₄	1	1	yes	characteristic, complemented
639	#5477	C₂×D₄	1	2	yes	complemented
640	C₂×#874	C₂×D₄	1	2	yes	complemented
641	C₂×#874	C₂×D₄	1	1	yes	characteristic, complemented
642	C₄×#235	C₂×D₄	1	1	yes	characteristic, complemented
643	C₄×#235	C₂×D₄	1	2	yes	complemented
644	C₂×C₄²×D₃	C₂×D₄	1	1	yes	characteristic, complemented
645	C₂×C₄²×D₃	C₂×D₄	1	2	yes	complemented
646	C₃×#458	C₂⁴	1	8	yes	complemented
647	C₃×B(4,𝔽₂)	C₂⁴	1	8	yes	—
648	C₃×B(4,𝔽₂)	C₂⁴	1	16	yes	complemented
649	C₃×#455	C₂⁴	1	4	yes	complemented
650	C₃×#453	C₂⁴	1	4	yes	—
651	C₃×#453	C₂⁴	1	8	yes	complemented
652	C₃×#413	C₂⁴	1	2	yes	complemented
653	C₂×C₃×#100	C₂⁴	1	4	yes	complemented
654	C₃×#410	C₂⁴	1	4	yes	complemented
655	C₂×C₃×#99	C₂⁴	1	8	yes	complemented
656	#5244	C₂⁴	1	8	yes	—
657	#5244	C₂⁴	1	16	yes	complemented
658	#5243	C₂⁴	1	8	yes	complemented
659	#5242	C₂⁴	1	4	yes	complemented
660	#5241	C₂⁴	1	4	yes	—
661	#5241	C₂⁴	1	8	yes	complemented
662	#5240	C₂⁴	1	4	yes	complemented
663	#5237	C₂⁴	1	2	yes	complemented
664	C₂×#834	C₂⁴	1	8	yes	complemented
665	C₂×#833	C₂⁴	1	4	yes	complemented
666	#5077	C₂⁴	1	4	yes	—
667	#5077	C₂⁴	1	8	yes	complemented
668	#5061	C₂⁴	1	4	yes	complemented
669	#5053	C₂⁴	1	8	yes	complemented
670	#5032	C₂⁴	1	8	yes	—
671	#5032	C₂⁴	1	16	yes	complemented
672	#4747	C₂⁴	1	4	yes	—
673	#4747	C₂⁴	1	8	yes	complemented
674	#4746	C₂⁴	1	4	yes	complemented
675	#4745	C₂⁴	1	4	yes	complemented
676	D₃×#100	C₂⁴	1	4	yes	—
677	D₃×#100	C₂⁴	1	8	yes	complemented
678	D₃×#99	C₂⁴	1	8	yes	—
679	D₃×#99	C₂⁴	1	16	yes	complemented
680	#4742	C₂⁴	1	8	yes	complemented
681	#4741	C₂⁴	1	8	yes	—
682	#4741	C₂⁴	1	16	yes	complemented
683	#4740	C₂⁴	1	8	yes	complemented
684	C₃×#354	C₂⁴	1	4	yes	complemented
685	C₃×#353	C₂⁴	1	4	yes	complemented
686	C₃×#353	C₂⁴	1	8	yes	complemented
687	C₃×#352	C₂⁴	1	8	yes	complemented
688	C₃×AΣL(1,𝔽₁₆)	C₂⁴	1	8	yes	complemented
689	C₃×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	complemented
690	#4545	C₂⁴	1	4	yes	complemented
691	#4545	C₂⁴	1	8	yes	complemented
692	#4541	C₂⁴	1	4	yes	complemented
693	#4539	C₂⁴	1	8	yes	complemented
694	#4536	C₂⁴	1	16	yes	complemented
695	#4536	C₂⁴	1	8	yes	complemented
696	#4476	C₂⁴	1	8	yes	complemented
697	#4475	C₂⁴	1	8	yes	complemented
698	#4475	C₂⁴	1	16	yes	complemented
699	#4474	C₂⁴	1	8	yes	complemented
700	#4474	C₂⁴	1	16	yes	complemented
701	#4473	C₂⁴	1	8	yes	complemented
702	#4472	C₂⁴	1	8	yes	complemented
703	#4471	C₂⁴	1	8	yes	complemented
704	#4471	C₂⁴	1	16	yes	complemented
705	H(7,𝔽₂)	C₂²×D₃	1	1	yes	characteristic, complemented
706	#3549	C₂²×D₃	1	1	yes	characteristic, complemented
707	#3543	C₂²×D₃	1	2	yes	complemented
708	#3537	C₂²×D₃	1	2	yes	complemented
709	#3532	C₂²×D₃	1	4	yes	complemented
710	#3498	C₂²×D₃	1	1	yes	characteristic
711	#3484	C₂²×D₃	1	2	yes	—
712	#3481	C₂²×D₃	1	1	yes	characteristic, complemented
713	C₂×D₄²	C₂²×D₃	1	2	yes	complemented
714	#3027	C₂²×D₃	1	4	yes	complemented
715	#3026	C₂²×D₃	1	8	yes	complemented
716	#3025	C₂²×D₃	1	4	yes	complemented
717	C₂×B(4,𝔽₂)	C₂²×D₃	1	8	yes	complemented
718	#3021	C₂²×D₃	1	2	yes	complemented
719	#3019	C₂²×D₃	1	4	yes	complemented
720	#3018	C₂²×D₃	1	2	yes	complemented
721	C₂×#453	C₂²×D₃	1	4	yes	complemented
722	#2888	C₂²×D₃	1	1	yes	characteristic, complemented
723	#2883	C₂²×D₃	1	2	yes	complemented
724	#2200	C₂²×D₃	1	16	yes	complemented
725	#2199	C₂²×D₃	1	8	yes	complemented
726	#2198	C₂²×D₃	1	4	yes	complemented
727	#2197	C₂²×D₃	1	8	yes	complemented
728	#2196	C₂²×D₃	1	4	yes	complemented
729	#2196	C₂²×D₃	1	8	yes	complemented
730	#2196	C₂²×D₃	1	16	yes	complemented
731	#2128	C₂²×D₃	1	2	yes	complemented
732	#2127	C₂²×D₃	1	4	yes	complemented
733	#2126	C₂²×D₃	1	2	yes	complemented
734	C₂×#353	C₂²×D₃	1	4	yes	complemented
735	#2122	C₂²×D₃	1	4	yes	complemented
736	#2121	C₂²×D₃	1	8	yes	complemented
737	#2120	C₂²×D₃	1	4	yes	complemented
738	C₂×AΣL(1,𝔽₁₆)	C₂²×D₃	1	8	yes	complemented
739	C₂⁵×C₃	C₂²×D₄	1	4	yes	complemented
740	C₂⁴×D₃	#120	1	2	yes	—
741	C₂⁴×D₃	C₂²×D₄	1	4	yes	—
742	C₂⁴×D₃	C₂²×D₄	1	2	yes	—
743	C₂⁴×D₃	C₂²×D₄	1	4	yes	—
744	C₂⁴×D₃	C₂²×D₄	1	4	yes	complemented
745	C₂⁴×D₃	C₂²×D₄	1	4	yes	complemented
746	C₂⁴×D₃	C₂²×D₄	1	4	yes	complemented
747	C₃×H(5,𝔽₂)	C₂⁵	1	4	yes	—
748	C₂×C₃×#41	C₂²×D₄	1	2	yes	—
749	C₂×C₃×#41	C₂²×D₄	1	2	yes	—
750	C₂×C₃×#41	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₃×#41	C₂²×D₄	1	2	yes	complemented
752	C₂×C₃×#41	C₂²×D₄	1	1	yes	characteristic, complemented
753	C₂×C₃×#41	C₂⁵	1	1	yes	characteristic
754	C₂²×C₃×D₄	C₂²×D₄	1	4	yes	—
755	C₂²×C₃×D₄	C₂²×D₄	1	2	yes	—
756	C₂²×C₃×D₄	C₂²×D₄	1	1	yes	characteristic
757	C₂²×C₃×D₄	C₂²×D₄	1	1	yes	characteristic, complemented
758	C₂²×C₃×D₄	C₂²×D₄	1	2	yes	complemented
759	C₂²×C₃×D₄	C₂²×D₄	1	4	yes	complemented
760	C₂²×C₃×D₄	C₂²×D₄	1	2	yes	complemented
761	C₂²×C₃×D₄	C₂⁵	1	2	yes	—
762	C₂³×C₃×C₄	C₂²×D₄	1	2	yes	complemented
763	C₂²×#67	#120	1	4	yes	—
764	C₂²×#67	#120	1	2	yes	—
765	C₂²×#67	C₂²×D₄	1	4	yes	—
766	C₂²×#67	C₂²×D₄	1	4	yes	—
767	C₂²×#67	C₂²×D₄	1	4	yes	—
768	C₂²×#67	C₂²×D₄	1	4	yes	complemented
769	C₂²×#67	C₂²×D₄	1	4	yes	complemented
770	C₂²×#67	C₂²×D₄	1	4	yes	complemented
771	C₂³×Dic₃	C₂²×D₄	1	2	yes	complemented
772	C₂×#239	#120	1	2	yes	—
773	C₂×#239	#120	1	1	yes	characteristic
774	C₂×#239	C₂²×D₄	1	2	yes	—
775	C₂×#239	C₂²×D₄	1	1	yes	characteristic
776	C₂×#239	C₂²×D₄	1	2	yes	complemented
777	C₂×#239	C₂²×D₄	1	1	yes	characteristic, complemented
778	C₂×D₃×Q₈	#120	1	1	yes	characteristic
779	C₂×D₃×Q₈	C₂²×D₄	1	1	yes	characteristic
780	C₂×D₃×Q₈	C₂²×D₄	1	1	yes	characteristic
781	#1004	C₂⁵	1	4	yes	—
782	C₂×#237	#120	1	4	yes	—
783	C₂×#237	#120	1	2	yes	—
784	C₂×#237	#120	1	2	yes	—
785	C₂×#237	#120	1	1	yes	characteristic
786	C₂×#237	C₂²×D₄	1	2	yes	—
787	C₂×#237	C₂²×D₄	1	4	yes	—
788	C₂×#237	C₂²×D₄	1	2	yes	—
789	C₂×#237	C₂²×D₄	1	1	yes	characteristic, complemented
790	C₂×#237	C₂²×D₄	1	2	yes	complemented
791	C₂×#237	C₂⁵	1	1	yes	characteristic
792	C₂×D₃×D₄	#120	1	1	yes	characteristic
793	C₂×D₃×D₄	#120	1	2	yes	—
794	C₂×D₃×D₄	#120	1	4	yes	—
795	C₂×D₃×D₄	#120	1	2	yes	—
796	C₂×D₃×D₄	#120	1	4	yes	—
797	C₂×D₃×D₄	#120	1	4	yes	—
798	C₂×D₃×D₄	#120	1	4	yes	—
799	C₂×D₃×D₄	#120	1	2	yes	—
800	C₂×D₃×D₄	#120	1	2	yes	—
801	C₂×D₃×D₄	#120	1	2	yes	—
802	C₂×D₃×D₄	C₂²×D₄	1	2	yes	—
803	C₂×D₃×D₄	C₂²×D₄	1	4	yes	—
804	C₂×D₃×D₄	C₂²×D₄	1	4	yes	—
805	C₂×D₃×D₄	C₂²×D₄	1	4	yes	—
806	C₂×D₃×D₄	C₂²×D₄	1	4	yes	—
807	C₂×D₃×D₄	C₂²×D₄	1	2	yes	—
808	C₂×D₃×D₄	C₂²×D₄	1	2	yes	—
809	C₂×D₃×D₄	C₂²×D₄	1	2	yes	—
810	C₂×D₃×D₄	C₂²×D₄	1	1	yes	characteristic
811	C₂×D₃×D₄	C₂²×D₄	1	2	yes	—
812	C₂×D₃×D₄	C₂²×D₄	1	2	yes	complemented
813	C₂×D₃×D₄	C₂²×D₄	1	2	yes	complemented
814	C₂×D₃×D₄	C₂²×D₄	1	2	yes	complemented
815	C₂×D₃×D₄	C₂⁵	1	1	yes	characteristic
816	C₂×D₃×D₄	C₂⁵	1	2	yes	—
817	C₂×#235	#120	1	4	yes	—
818	C₂×#235	#120	1	4	yes	—
819	C₂×#235	C₂²×D₄	1	2	yes	—
820	C₂×#235	C₂²×D₄	1	2	yes	—
821	C₂×#235	C₂²×D₄	1	1	yes	characteristic
822	C₂×#235	C₂²×D₄	1	2	yes	—
823	C₂×#235	C₂²×D₄	1	1	yes	characteristic
824	C₂×#235	C₂²×D₄	1	2	yes	—
825	C₂×#235	C₂²×D₄	1	1	yes	characteristic, complemented
826	C₂×#235	C₂²×D₄	1	2	yes	complemented
827	C₂²×D₁₂	#120	1	4	yes	—
828	C₂²×D₁₂	C₂²×D₄	1	2	yes	—
829	C₂²×D₁₂	C₂²×D₄	1	1	yes	characteristic
830	C₂²×D₁₂	C₂²×D₄	1	2	yes	—
831	C₂²×D₁₂	C₂²×D₄	1	1	yes	characteristic, complemented
832	C₂²×D₁₂	C₂²×D₄	1	2	yes	complemented
833	C₂²×D₁₂	C₂²×D₄	1	4	yes	complemented
834	C₂²×D₁₂	C₂²×D₄	1	2	yes	complemented
835	C₂²×C₄×D₃	#120	1	4	yes	—
836	C₂²×C₄×D₃	C₂²×D₄	1	2	yes	—
837	C₂²×C₄×D₃	C₂²×D₄	1	1	yes	characteristic
838	C₂²×C₄×D₃	C₂²×D₄	1	2	yes	—
839	C₂²×C₄×D₃	C₂²×D₄	1	2	yes	—
840	C₂²×C₄×D₃	C₂²×D₄	1	2	yes	complemented
841	C₂²×C₄×D₃	C₂²×D₄	1	2	yes	complemented
842	C₃×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic, complemented
843	C₃×#127	C₂²×D₄	1	2	yes	complemented
844	C₃×#127	C₂²×D₄	1	2	yes	complemented
845	C₃×#127	C₂²×D₄	1	2	yes	complemented
846	C₃×#127	C₂⁵	1	1	yes	characteristic
847	C₃×#127	C₂⁵	1	2	yes	—
848	C₃×#124	C₂²×D₄	1	2	yes	complemented
849	C₃×#124	C₂²×D₄	1	2	yes	complemented
850	C₃×#124	C₂²×D₄	1	1	yes	characteristic, complemented
851	C₃×#124	C₂⁵	1	1	yes	characteristic
852	C₃×#123	C₂²×D₄	1	4	yes	complemented
853	C₃×#123	C₂²×D₄	1	2	yes	complemented
854	C₃×#123	C₂⁵	1	2	yes	—
855	C₃×#120	C₂²×D₄	1	2	yes	complemented
856	C₃×#120	C₂²×D₄	1	4	yes	complemented
857	C₃×#120	C₂²×D₄	1	4	yes	complemented
858	C₃×#120	C₂²×D₄	1	4	yes	complemented
859	C₃×#120	C₂²×D₄	1	4	yes	complemented
860	C₃×#120	C₂⁵	1	4	yes	—
861	C₃×#120	C₂⁵	1	2	yes	—
862	C₃×#117	C₂²×D₄	1	1	yes	characteristic, complemented
863	C₃×#117	C₂²×D₄	1	2	yes	complemented
864	C₃×#117	C₂²×D₄	1	2	yes	complemented
865	C₃×#117	C₂²×D₄	1	2	yes	complemented
866	C₂×C₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
867	C₂×C₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
868	C₂×C₃×C₄²	C₂²×D₄	1	1	yes	characteristic, complemented
869	C₂×C₃×C₄²	C₂²×D₄	1	2	yes	complemented
870	#953	C₂²×D₄	1	2	yes	—
871	#953	C₂²×D₄	1	4	yes	—
872	#953	C₂²×D₄	1	4	yes	complemented
873	#953	C₂²×D₄	1	2	yes	complemented
874	#953	C₂²×D₄	1	4	yes	complemented
875	#953	C₂²×D₄	1	4	yes	complemented
876	#953	C₂²×D₄	1	4	yes	complemented
877	C₂×#217	C₂²×D₄	1	4	yes	complemented
878	C₂×#217	C₂²×D₄	1	4	yes	complemented
879	#947	C₂²×D₄	1	1	yes	characteristic
880	#947	C₂²×D₄	1	1	yes	characteristic, complemented
881	#947	C₂²×D₄	1	2	yes	complemented
882	#947	C₂²×D₄	1	2	yes	complemented
883	#944	C₂²×D₄	1	1	yes	characteristic, complemented
884	#944	C₂²×D₄	1	1	yes	characteristic, complemented
885	#940	C₂²×D₄	1	1	yes	characteristic
886	#940	C₂²×D₄	1	2	yes	—
887	#940	C₂²×D₄	1	2	yes	complemented
888	#940	C₂²×D₄	1	2	yes	complemented
889	#940	C₂²×D₄	1	2	yes	complemented
890	#940	C₂²×D₄	1	2	yes	complemented
891	#940	C₂²×D₄	1	2	yes	complemented
892	#940	C₂²×D₄	1	2	yes	complemented
893	#940	C₂⁵	1	1	yes	characteristic
894	#940	C₂⁵	1	2	yes	—
895	#937	C₂²×D₄	1	4	yes	complemented
896	#937	C₂²×D₄	1	4	yes	complemented
897	#937	C₂²×D₄	1	4	yes	complemented
898	#937	C₂²×D₄	1	2	yes	complemented
899	#937	C₂²×D₄	1	4	yes	complemented
900	#937	C₂⁵	1	4	yes	—
901	#937	C₂⁵	1	2	yes	—
902	#936	C₂²×D₄	1	2	yes	complemented
903	#936	C₂²×D₄	1	1	yes	characteristic, complemented
904	#936	C₂²×D₄	1	2	yes	complemented
905	#936	C₂⁵	1	1	yes	characteristic
906	#935	C₂²×D₄	1	2	yes	complemented
907	#935	C₂²×D₄	1	4	yes	complemented
908	#935	C₂⁵	1	2	yes	—
909	#929	C₂²×D₄	1	2	yes	—
910	#929	C₂²×D₄	1	2	yes	complemented
911	#929	C₂²×D₄	1	4	yes	complemented
912	#926	C₂²×D₄	1	1	yes	characteristic, complemented
913	#926	C₂²×D₄	1	2	yes	complemented
914	#926	C₂²×D₄	1	2	yes	complemented
915	#926	C₂²×D₄	1	2	yes	complemented
916	C₂×C₄×Dic₃	C₂²×D₄	1	1	yes	characteristic, complemented
917	C₂×C₄×Dic₃	C₂²×D₄	1	2	yes	complemented
918	#886	C₂²×D₄	1	2	yes	—
919	#886	C₂²×D₄	1	4	yes	complemented
920	#886	C₂²×D₄	1	2	yes	complemented
921	#882	C₂²×D₄	1	4	yes	—
922	#882	C₂²×D₄	1	2	yes	—
923	#882	C₂²×D₄	1	4	yes	complemented
924	#882	C₂²×D₄	1	4	yes	complemented
925	#882	C₂²×D₄	1	4	yes	complemented
926	#882	C₂²×D₄	1	4	yes	complemented
927	#882	C₂²×D₄	1	2	yes	complemented
928	D₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
929	D₃×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
930	D₃×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
931	D₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
932	D₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
933	D₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
934	D₃×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
935	#877	C₂²×D₄	1	4	yes	complemented
936	#877	C₂²×D₄	1	2	yes	complemented
937	#877	C₂²×D₄	1	2	yes	complemented
938	#875	C₂²×D₄	1	1	yes	characteristic
939	#875	C₂²×D₄	1	2	yes	complemented
940	#875	C₂²×D₄	1	2	yes	complemented
941	#875	C₂²×D₄	1	1	yes	characteristic, complemented
942	#874	C₂²×D₄	1	2	yes	—
943	#874	C₂²×D₄	1	1	yes	characteristic
944	#874	C₂²×D₄	1	2	yes	complemented
945	#874	C₂²×D₄	1	2	yes	complemented
946	#874	C₂²×D₄	1	2	yes	complemented
947	#872	C₂²×D₄	1	2	yes	complemented
948	#872	C₂²×D₄	1	2	yes	complemented
949	#872	C₂²×D₄	1	2	yes	complemented
950	C₄²×D₃	C₂²×D₄	1	2	yes	—
951	C₄²×D₃	C₂²×D₄	1	1	yes	characteristic
952	C₄²×D₃	C₂²×D₄	1	1	yes	characteristic
953	C₄²×D₃	C₂²×D₄	1	2	yes	complemented
954	C₄²×D₃	C₂²×D₄	1	1	yes	characteristic, complemented
955	C₄²×D₃	C₂²×D₄	1	1	yes	characteristic, complemented
956	C₄²×D₃	C₂²×D₄	1	2	yes	complemented
957	#869	C₂²×D₄	1	1	yes	characteristic, complemented
958	C₃×#100	C₂⁵	1	4	yes	—
959	C₃×#99	C₂⁵	1	8	yes	—
960	#834	C₂⁵	1	8	yes	—
961	#833	C₂⁵	1	4	yes	—
962	#585	C₂³×D₃	1	2	yes	complemented
963	C₂×H(5,𝔽₂)	D₃×D₄	1	1	yes	characteristic, complemented
964	C₂×H(5,𝔽₂)	C₂³×D₃	1	1	yes	characteristic
965	C₂×H(5,𝔽₂)	C₂³×D₃	1	4	yes	complemented
966	C₂³×D₄	D₃×D₄	1	2	yes	complemented
967	H(3,𝔽₄)	C₂³×D₃	1	2	yes	complemented
968	#560	C₂³×D₃	1	4	yes	complemented
969	#559	C₂³×D₃	1	1	yes	characteristic, complemented
970	#551	C₂³×D₃	1	2	yes	complemented
971	D₄²	C₂³×D₃	1	1	yes	characteristic, complemented
972	D₄²	C₂³×D₃	1	4	yes	complemented
973	D₄²	C₂³×D₃	1	2	yes	complemented
974	#535	D₃×D₄	1	2	yes	complemented
975	#535	D₃×D₄	1	1	yes	characteristic, complemented
976	#535	D₃×D₄	1	2	yes	complemented
977	#535	C₂³×D₃	1	2	yes	—
978	#535	C₂³×D₃	1	1	yes	characteristic
979	#535	C₂³×D₃	1	2	yes	—
980	#534	D₃×D₄	1	4	yes	complemented
981	#534	C₂³×D₃	1	4	yes	—
982	#532	D₃×D₄	1	2	yes	complemented
983	#532	C₂³×D₃	1	1	yes	characteristic
984	C₂×#127	D₃×D₄	1	1	yes	characteristic, complemented
985	C₂×#127	C₂³×D₃	1	2	yes	—
986	#525	D₃×D₄	1	2	yes	complemented
987	#525	C₂³×D₃	1	2	yes	—
988	C₂×#120	D₃×D₄	1	4	yes	complemented
989	C₂×#120	C₂³×D₃	1	4	yes	—
990	#518	D₃×D₄	1	2	yes	complemented
991	C₄×#41	D₃×D₄	1	1	yes	characteristic, complemented
992	#458	C₂³×D₃	1	8	yes	complemented
993	B(4,𝔽₂)	C₂³×D₃	1	8	yes	—
994	B(4,𝔽₂)	C₂³×D₃	1	16	yes	complemented
995	#455	C₂³×D₃	1	4	yes	complemented
996	#453	C₂³×D₃	1	4	yes	—
997	#453	C₂³×D₃	1	8	yes	complemented
998	#413	C₂³×D₃	1	2	yes	complemented
999	C₂×#100	C₂³×D₃	1	4	yes	complemented
1000	#410	C₂³×D₃	1	4	yes	complemented
1001	C₂×#99	C₂³×D₃	1	8	yes	complemented
1002	#354	C₂³×D₃	1	4	yes	complemented
1003	#353	C₂³×D₃	1	4	yes	complemented
1004	#353	C₂³×D₃	1	8	yes	complemented
1005	#352	C₂³×D₃	1	8	yes	complemented
1006	AΣL(1,𝔽₁₆)	C₂³×D₃	1	8	yes	complemented
1007	AΣL(1,𝔽₁₆)	C₂³×D₃	1	16	yes	complemented
1008	C₂⁴×C₃	C₂×#120	1	2	yes	—
1009	C₂⁴×C₃	C₂³×D₄	1	2	yes	—
1010	C₂⁴×C₃	C₂³×D₄	1	4	yes	—
1011	C₂⁴×C₃	C₂³×D₄	1	4	yes	—
1012	C₂³×D₃	C₂×#120	1	2	yes	—
1013	C₂³×D₃	C₂×#120	1	4	yes	—
1014	C₂³×D₃	C₂×#120	1	1	yes	characteristic
1015	C₂³×D₃	C₂×#120	1	4	yes	—
1016	C₂³×D₃	C₂×#120	1	4	yes	—
1017	C₂³×D₃	C₂×#120	1	4	yes	—
1018	C₂³×D₃	C₂×#120	1	2	yes	—
1019	C₂³×D₃	C₂³×D₄	1	2	yes	—
1020	C₂³×D₃	C₂³×D₄	1	4	yes	—
1021	C₂³×D₃	C₂³×D₄	1	2	yes	—
1022	C₂³×D₃	C₂³×D₄	1	4	yes	—
1023	C₂×C₃×Q₈	C₂×#120	1	1	yes	characteristic
1024	C₂×C₃×Q₈	C₂³×D₄	1	1	yes	characteristic
1025	C₂×C₃×Q₈	C₂³×D₄	1	1	yes	characteristic
1026	C₂×C₃×D₄	C₂×#120	1	2	yes	—
1027	C₂×C₃×D₄	C₂×#120	1	4	yes	—
1028	C₂×C₃×D₄	C₂×#120	1	2	yes	—
1029	C₂×C₃×D₄	C₂×#120	1	1	yes	characteristic
1030	C₂×C₃×D₄	C₂³×D₄	1	1	yes	characteristic
1031	C₂×C₃×D₄	C₂³×D₄	1	2	yes	—
1032	C₂×C₃×D₄	C₂³×D₄	1	2	yes	—
1033	C₂×C₃×D₄	C₂³×D₄	1	2	yes	—
1034	C₂×C₃×D₄	C₂³×D₄	1	4	yes	—
1035	C₂×C₃×D₄	C₂⁶	1	1	yes	characteristic
1036	C₂²×C₃×C₄	C₂×#120	1	4	yes	—
1037	C₂²×C₃×C₄	C₂³×D₄	1	1	yes	characteristic
1038	C₂²×C₃×C₄	C₂³×D₄	1	2	yes	—
1039	C₂²×C₃×C₄	C₂³×D₄	1	2	yes	—
1040	C₂²×C₃×C₄	C₂³×D₄	1	2	yes	—
1041	C₂×#67	C₂×#120	1	2	yes	—
1042	C₂×#67	C₂×#120	1	4	yes	—
1043	C₂×#67	C₂×#120	1	4	yes	—
1044	C₂×#67	C₂×#120	1	4	yes	—
1045	C₂×#67	C₂×#120	1	4	yes	—
1046	C₂×#67	C₂×#120	1	2	yes	—
1047	C₂×#67	C₂×#120	1	4	yes	—
1048	C₂×#67	C₂×#120	1	2	yes	—
1049	C₂×#67	C₂×#120	1	2	yes	—
1050	C₂×#67	C₂³×D₄	1	2	yes	—
1051	C₂×#67	C₂³×D₄	1	2	yes	—
1052	C₂×#67	C₂³×D₄	1	4	yes	—
1053	C₂²×Dic₃	C₂×#120	1	4	yes	—
1054	C₂²×Dic₃	C₂×#120	1	2	yes	—
1055	C₂²×Dic₃	C₂×#120	1	1	yes	characteristic
1056	C₂²×Dic₃	C₂³×D₄	1	2	yes	—
1057	C₂²×Dic₃	C₂³×D₄	1	2	yes	—
1058	D₃×D₄	B(4,𝔽₂)	1	4	yes	—
1059	D₃×D₄	B(4,𝔽₂)	1	4	yes	—
1060	C₂×D₁₂	C₂×#120	1	1	yes	characteristic
1061	C₂×D₁₂	C₂×#120	1	2	yes	—
1062	C₂×D₁₂	C₂×#120	1	2	yes	—
1063	C₂×D₁₂	C₂×#120	1	4	yes	—
1064	C₂×D₁₂	C₂×#120	1	4	yes	—
1065	C₂×D₁₂	C₂×#120	1	2	yes	—
1066	C₂×D₁₂	C₂³×D₄	1	2	yes	—
1067	C₂×D₁₂	C₂³×D₄	1	1	yes	characteristic
1068	C₂×D₁₂	C₂³×D₄	1	1	yes	characteristic
1069	C₂×D₁₂	C₂³×D₄	1	2	yes	—
1070	C₂×C₄×D₃	C₂×#120	1	1	yes	characteristic
1071	C₂×C₄×D₃	C₂×#120	1	2	yes	—
1072	C₂×C₄×D₃	C₂×#120	1	2	yes	—
1073	C₂×C₄×D₃	C₂×#120	1	4	yes	—
1074	C₂×C₄×D₃	C₂×#120	1	4	yes	—
1075	C₂×C₄×D₃	C₂×#120	1	2	yes	—
1076	C₂×C₄×D₃	C₂×#120	1	2	yes	—
1077	C₂×C₄×D₃	C₂×#120	1	1	yes	characteristic
1078	C₂×C₄×D₃	C₂×#120	1	2	yes	—
1079	C₂×C₄×D₃	C₂³×D₄	1	1	yes	characteristic
1080	C₂×C₄×D₃	C₂³×D₄	1	1	yes	characteristic
1081	C₂×C₄×D₃	C₂³×D₄	1	2	yes	—
1082	C₂×Dic₆	C₂×#120	1	2	yes	—
1083	C₂×Dic₆	C₂×#120	1	2	yes	—
1084	C₂×Dic₆	C₂×#120	1	1	yes	characteristic
1085	C₂×Dic₆	C₂³×D₄	1	1	yes	characteristic
1086	C₂×Dic₆	C₂³×D₄	1	1	yes	characteristic
1087	C₃×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1088	C₃×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1089	C₃×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1090	C₃×C₄²	C₂³×D₄	1	1	yes	characteristic
1091	C₃×C₄²	C₂³×D₄	1	2	yes	—
1092	C₃×C₄²	C₂³×D₄	1	1	yes	characteristic
1093	#217	C₂³×D₄	1	2	yes	—
1094	#217	C₂³×D₄	1	4	yes	—
1095	#217	C₂³×D₄	1	2	yes	—
1096	C₄×Dic₃	C₂³×D₄	1	1	yes	characteristic
1097	C₄×Dic₃	C₂³×D₄	1	2	yes	—
1098	C₄×Dic₃	C₂³×D₄	1	1	yes	characteristic
1099	C₂⁵	C₂×D₃×D₄	1	4	yes	complemented
1100	H(5,𝔽₂)	C₂⁴×D₃	1	4	yes	—
1101	C₂×#41	C₂×D₃×D₄	1	1	yes	characteristic
1102	C₂×#41	C₂×D₃×D₄	1	2	yes	—
1103	C₂×#41	C₂×D₃×D₄	1	2	yes	—
1104	C₂×#41	C₂×D₃×D₄	1	2	yes	complemented
1105	C₂×#41	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1106	C₂×#41	C₂⁴×D₃	1	1	yes	characteristic
1107	C₂²×D₄	C₂×D₃×D₄	1	1	yes	characteristic
1108	C₂²×D₄	C₂×D₃×D₄	1	2	yes	—
1109	C₂²×D₄	C₂×D₃×D₄	1	4	yes	—
1110	C₂²×D₄	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1111	C₂²×D₄	C₂×D₃×D₄	1	2	yes	complemented
1112	C₂²×D₄	C₂×D₃×D₄	1	4	yes	complemented
1113	C₂²×D₄	C₂×D₃×D₄	1	2	yes	complemented
1114	C₂²×D₄	C₂⁴×D₃	1	2	yes	—
1115	C₂³×C₄	C₂×D₃×D₄	1	2	yes	complemented
1116	C₄⋊Q₈	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1117	#127	C₂×D₃×D₄	1	2	yes	complemented
1118	#127	C₂×D₃×D₄	1	2	yes	complemented
1119	#127	C₂×D₃×D₄	1	2	yes	complemented
1120	#127	C₂⁴×D₃	1	1	yes	characteristic
1121	#127	C₂⁴×D₃	1	2	yes	—
1122	#124	C₂×D₃×D₄	1	2	yes	complemented
1123	#124	C₂×D₃×D₄	1	2	yes	complemented
1124	#124	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1125	#124	C₂⁴×D₃	1	1	yes	characteristic
1126	#123	C₂×D₃×D₄	1	4	yes	complemented
1127	#123	C₂×D₃×D₄	1	2	yes	complemented
1128	#123	C₂⁴×D₃	1	2	yes	—
1129	#120	C₂×D₃×D₄	1	2	yes	complemented
1130	#120	C₂×D₃×D₄	1	4	yes	complemented
1131	#120	C₂×D₃×D₄	1	4	yes	complemented
1132	#120	C₂×D₃×D₄	1	4	yes	complemented
1133	#120	C₂×D₃×D₄	1	4	yes	complemented
1134	#120	C₂⁴×D₃	1	2	yes	—
1135	#120	C₂⁴×D₃	1	4	yes	—
1136	#117	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1137	#117	C₂×D₃×D₄	1	2	yes	complemented
1138	#117	C₂×D₃×D₄	1	2	yes	complemented
1139	#117	C₂×D₃×D₄	1	2	yes	complemented
1140	C₂×C₂²⋊C₄	C₂×D₃×D₄	1	4	yes	complemented
1141	C₂×C₂²⋊C₄	C₂×D₃×D₄	1	4	yes	complemented
1142	C₂×C₄²	C₂×D₃×D₄	1	1	yes	characteristic, complemented
1143	C₂×C₄²	C₂×D₃×D₄	1	2	yes	complemented
1144	#100	C₂⁴×D₃	1	4	yes	—
1145	#99	C₂⁴×D₃	1	8	yes	—
1146	C₂³×C₃	C₂²×#120	1	4	yes	—
1147	C₂³×C₃	C₂²×#120	1	1	yes	characteristic
1148	C₂³×C₃	C₂²×#120	1	2	yes	—
1149	C₂³×C₃	C₂⁴×D₄	1	2	yes	—
1150	C₂²×D₃	C₂×B(4,𝔽₂)	1	4	yes	—
1151	C₂²×D₃	C₂×B(4,𝔽₂)	1	4	yes	—
1152	C₂²×D₃	C₂²×#120	1	1	yes	characteristic
1153	C₂²×D₃	C₂²×#120	1	2	yes	—
1154	C₂²×D₃	C₂²×#120	1	4	yes	—
1155	C₂²×D₃	C₂²×#120	1	2	yes	—
1156	C₂²×D₃	C₂²×#120	1	1	yes	characteristic
1157	C₃×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1158	C₂×C₃×C₄	C₂²×#120	1	1	yes	characteristic
1159	C₂×C₃×C₄	C₂²×#120	1	2	yes	—
1160	C₂×C₃×C₄	C₂²×#120	1	2	yes	—
1161	C₂×C₃×C₄	C₂⁴×D₄	1	1	yes	characteristic
1162	#67	C₂×B(4,𝔽₂)	1	8	yes	—
1163	C₂×Dic₃	C₂²×#120	1	1	yes	characteristic
1164	C₂×Dic₃	C₂²×#120	1	1	yes	characteristic
1165	C₂×Dic₃	C₂²×#120	1	2	yes	—
1166	C₂×Dic₃	C₂²×#120	1	2	yes	—
1167	D₁₂	C₂×B(4,𝔽₂)	1	4	yes	—
1168	C₄×D₃	C₂×B(4,𝔽₂)	1	2	yes	—
1169	C₄×D₃	C₂×B(4,𝔽₂)	1	2	yes	—
1170	C₂⁴	D₃×#120	1	2	yes	—
1171	C₂⁴	C₂²×D₃×D₄	1	2	yes	—
1172	C₂⁴	C₂²×D₃×D₄	1	4	yes	—
1173	C₂⁴	C₂²×D₃×D₄	1	4	yes	—
1174	C₂×Q₈	D₃×#120	1	1	yes	characteristic
1175	C₂×Q₈	C₂²×D₃×D₄	1	1	yes	characteristic
1176	C₂×Q₈	C₂²×D₃×D₄	1	1	yes	characteristic
1177	C₂×D₄	D₃×#120	1	2	yes	—
1178	C₂×D₄	D₃×#120	1	2	yes	—
1179	C₂×D₄	D₃×#120	1	4	yes	—
1180	C₂×D₄	D₃×#120	1	1	yes	characteristic
1181	C₂×D₄	C₂²×D₃×D₄	1	2	yes	—
1182	C₂×D₄	C₂²×D₃×D₄	1	1	yes	characteristic
1183	C₂×D₄	C₂²×D₃×D₄	1	2	yes	—
1184	C₂×D₄	C₂²×D₃×D₄	1	2	yes	—
1185	C₂×D₄	C₂²×D₃×D₄	1	4	yes	—
1186	C₂×D₄	C₂⁵×D₃	1	1	yes	characteristic
1187	C₂²×C₄	D₃×#120	1	4	yes	—
1188	C₂²×C₄	C₂²×D₃×D₄	1	1	yes	characteristic
1189	C₂²×C₄	C₂²×D₃×D₄	1	2	yes	—
1190	C₂²×C₄	C₂²×D₃×D₄	1	2	yes	—
1191	C₂²×C₄	C₂²×D₃×D₄	1	2	yes	—
1192	C₂²⋊C₄	C₂²×D₃×D₄	1	2	yes	—
1193	C₂²⋊C₄	C₂²×D₃×D₄	1	4	yes	—
1194	C₂²⋊C₄	C₂²×D₃×D₄	1	2	yes	—
1195	C₄²	C₂²×D₃×D₄	1	1	yes	characteristic
1196	C₄²	C₂²×D₃×D₄	1	2	yes	—
1197	C₄²	C₂²×D₃×D₄	1	1	yes	characteristic
1198	C₂²×C₃	C₂²×B(4,𝔽₂)	1	4	yes	—
1199	C₂²×C₃	C₂³×#120	1	1	yes	characteristic
1200	C₂×D₃	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1201	C₂×D₃	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1202	C₂×D₃	C₂²×B(4,𝔽₂)	1	4	yes	—
1203	C₃×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1204	Dic₃	C₂²×B(4,𝔽₂)	1	2	yes	—
1205	C₂³	C₂×D₃×#120	1	1	yes	characteristic
1206	C₂³	C₂×D₃×#120	1	4	yes	—
1207	C₂³	C₂×D₃×#120	1	2	yes	—
1208	C₂³	C₂³×D₃×D₄	1	2	yes	—
1209	D₄	D₃×B(4,𝔽₂)	1	4	yes	—
1210	C₂×C₄	C₂×D₃×#120	1	1	yes	characteristic
1211	C₂×C₄	C₂×D₃×#120	1	2	yes	—
1212	C₂×C₄	C₂×D₃×#120	1	2	yes	—
1213	C₂×C₄	C₂³×D₃×D₄	1	1	yes	characteristic
1214	C₂×C₃	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1215	D₃	#7622880	1	2	yes	direct product factor
1216	C₂²	C₂×D₃×B(4,𝔽₂)	1	4	yes	—
1217	C₂²	C₂²×D₃×#120	1	1	yes	characteristic
1218	C₄	C₂×D₃×B(4,𝔽₂)	1	2	yes	—
1219	C₃	C₂×#7622880	1	1	yes	characteristic, complemented, Sylow
1220	C₂	C₂²×D₃×B(4,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂²×D₃×B(4,𝔽₂)
commutator, cosocle	C₂×C₃×D₄	C₂⁶
Frattini	C₂×D₄	C₂⁵×D₃
Fitting	C₃×#7622880	C₂
socle	C₂×C₃	C₂³×B(4,𝔽₂)
hypercenter	#7622880	D₃
hypocenter	C₃	C₂×#7622880
LCS	G ▷ C₂×C₃×D₄ ▷ C₂²×C₃ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂ ◁ C₂×D₄ ◁ C₂×H(5,𝔽₂) ◁ #7622880

Complements

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

N	H ≅ G/N	type
1. #72255253	C₂	semidirect
2. C₃×#7622880	C₂	semidirect
3. #72255248	C₂	semidirect
4. D₃×#33559	C₂	semidirect
5. #72255244	C₂	semidirect
6. #72255242	C₂	semidirect
7. D₃×#33348	C₂	semidirect
8. #72255236	C₂	semidirect
9. D₃×#33359	C₂	semidirect
10. #72255228	C₂	semidirect
11. #72255227	C₂	semidirect
12. D₃×#33557	C₂	semidirect
13. #72255224	C₂	semidirect
14. #72255222	C₂	semidirect
15. #72255219	C₂	semidirect
16. #72255218	C₂	semidirect
17. D₃×#33546	C₂	semidirect
18. D₃×#33553	C₂	semidirect
19. D₃×#63011	C₂	semidirect
20. C₂×D₃×#2196	C₂	semidirect
21. D₃×#60399	C₂	semidirect
22. D₃×#60388	C₂	semidirect
23. D₃×#33551	C₂	semidirect
24. D₃×H(7,𝔽₂)	C₂²	semidirect
25. #11707698	C₂²	semidirect
26. #11707697	C₂²	semidirect
27. #11707695	C₂²	semidirect
28. #11707694	C₂²	semidirect
29. #11707693	C₂²	semidirect
30. #11707692	C₂²	semidirect
31. #11707691	C₂²	semidirect
32. #11707690	C₂²	semidirect
35. D₃×#3549	C₂²	semidirect
36. D₃×#3543	C₂²	semidirect
37. D₃×#3537	C₂²	semidirect
38. D₃×#3532	C₂²	semidirect
39. D₃×#3481	C₂²	semidirect
40. C₂×D₃×D₄²	C₂²	semidirect
41. #11661941	C₂²	semidirect
42. #11661940	C₂²	semidirect
43. #11661939	C₂²	semidirect
44. #11661938	C₂²	semidirect
45. #11661937	C₂²	semidirect
46. #11661936	C₂²	semidirect
47. #11661935	C₂²	semidirect
48. D₃×#3027	C₂²	semidirect
49. D₃×#3026	C₂²	semidirect
50. D₃×#3025	C₂²	semidirect
51. C₂×D₃×B(4,𝔽₂)	C₂²	semidirect
52. #11661870	C₂²	semidirect
53. #11661868	C₂²	semidirect
54. #11661867	C₂²	semidirect
55. #11661866	C₂²	semidirect
56. #11661865	C₂²	semidirect
57. #11661863	C₂²	semidirect
58. #11661862	C₂²	semidirect
59. D₃×#3021	C₂²	semidirect
60. D₃×#3019	C₂²	semidirect
61. D₃×#3018	C₂²	semidirect
62. C₂×D₃×#453	C₂²	semidirect
63. D₃×#2888	C₂²	semidirect
64. D₃×#2883	C₂²	semidirect
65. #10949321	C₂²	semidirect
66. #10949320	C₂²	semidirect
67. #10949319	C₂²	semidirect
68. #10949318	C₂²	semidirect
69. #10949317	C₂²	semidirect
70. #10949316	C₂²	semidirect
71. #10949315	C₂²	semidirect
72. #10949306	C₂²	semidirect
73. #10949305	C₂²	semidirect
74. #10949304	C₂²	semidirect
75. #10949303	C₂²	semidirect
76. #10949302	C₂²	semidirect
77. #10949301	C₂²	semidirect
78. #10949300	C₂²	semidirect
79. #10949299	C₂²	semidirect
80. #10949271	C₂²	semidirect
81. #10949270	C₂²	semidirect
82. #10949269	C₂²	semidirect
83. #10949268	C₂²	semidirect
84. #10949267	C₂²	semidirect
85. #10949266	C₂²	semidirect
86. #10949265	C₂²	semidirect
87. #10949264	C₂²	semidirect
88. #10949263	C₂²	semidirect
89. #10949251	C₂²	semidirect
90. #10949250	C₂²	semidirect
91. #10949249	C₂²	semidirect
92. #10949248	C₂²	semidirect
93. #10949247	C₂²	semidirect
94. #10949246	C₂²	semidirect
95. #10949245	C₂²	semidirect
96. #10949244	C₂²	semidirect
97. #10949243	C₂²	semidirect
98. #10949242	C₂²	semidirect
99. #10949241	C₂²	semidirect
100. D₃×#2200	C₂²	semidirect
101. D₃×#2199	C₂²	semidirect
102. #10949212	C₂²	semidirect
103. #10949211	C₂²	semidirect
104. #10949210	C₂²	semidirect
105. #10949209	C₂²	semidirect
106. #10949208	C₂²	semidirect
107. #10949207	C₂²	semidirect
108. #10949206	C₂²	semidirect
109. #10949205	C₂²	semidirect
110. D₃×#2198	C₂²	semidirect
111. D₃×#2197	C₂²	semidirect
112. C₂×#69146	C₂²	semidirect
113. C₂×#69130	C₂²	semidirect
114. C₂×#71909	C₂²	semidirect
115. C₂×#70984	C₂²	semidirect
116. C₂×#70996	C₂²	semidirect
117. D₃×#2196	C₂²	semidirect
118. D₃×#2196	C₂²	semidirect
119. D₃×#2196	C₂²	semidirect
120. D₃×#2196	C₂²	semidirect
121. D₃×#2196	C₂²	semidirect
122. D₃×#2196	C₂²	semidirect
123. #10947992	C₂²	semidirect
124. #10947991	C₂²	semidirect
125. #10947990	C₂²	semidirect
126. #10947989	C₂²	semidirect
127. #10947988	C₂²	semidirect
128. #10947987	C₂²	semidirect
129. D₃×#2128	C₂²	semidirect
130. D₃×#2127	C₂²	semidirect
131. D₃×#2126	C₂²	semidirect
132. C₂×D₃×#353	C₂²	semidirect
133. #10947939	C₂²	semidirect
134. #10947938	C₂²	semidirect
135. #10947937	C₂²	semidirect
136. #10947936	C₂²	semidirect
137. #10947935	C₂²	semidirect
138. #10947934	C₂²	semidirect
139. #10947933	C₂²	semidirect
140. D₃×#2122	C₂²	semidirect
141. D₃×#2121	C₂²	semidirect
142. D₃×#2120	C₂²	semidirect
143. C₂×D₃×AΣL(1,𝔽₁₆)	C₂²	semidirect
144. C₃×#63011	C₂²	semidirect
145. C₃×#60399	C₂²	semidirect
146. C₃×#60388	C₂²	semidirect
147. C₃×#33559	C₂²	semidirect
148. C₃×#33557	C₂²	semidirect
149. C₃×#33553	C₂²	semidirect
150. C₃×#33551	C₂²	semidirect
151. C₃×#33546	C₂²	semidirect
152. C₂×C₃×#2196	C₂²	semidirect
153. C₃×#33359	C₂²	semidirect
154. C₃×#33348	C₂²	semidirect
155. #7622880	D₃	direct (N × H)
156. C₃×H(7,𝔽₂)	C₂³	semidirect
157. #87574	C₂³	semidirect
158. D₃×#585	C₂³	semidirect
159. #87568	C₂³	semidirect
160. #87568	C₂³	semidirect
161. C₂×D₃×H(5,𝔽₂)	D₄	semidirect
163. C₂×D₃×H(5,𝔽₂)	C₂³	semidirect
164. C₂³×D₃×D₄	D₄	semidirect
165. C₃×#3549	C₂³	semidirect
166. C₃×#3543	C₂³	semidirect
167. C₃×#3537	C₂³	semidirect
168. C₃×#3532	C₂³	semidirect
171. C₃×#3481	C₂³	semidirect
172. C₂×C₃×D₄²	C₂³	semidirect
174. #87282	D₄	semidirect
176. #87239	D₄	semidirect
177. #87090	C₂³	semidirect
178. D₃×H(3,𝔽₄)	C₂³	semidirect
179. #87087	C₂³	semidirect
180. #87083	C₂³	semidirect
181. #87080	C₂³	semidirect
182. D₃×#560	C₂³	semidirect
183. #87071	C₂³	semidirect
184. #87066	C₂³	semidirect
185. D₃×#559	C₂³	semidirect
186. #87050	C₂³	semidirect
187. #86818	C₂³	semidirect
188. D₃×#551	C₂³	semidirect
189. #86791	C₂³	semidirect
190. #86624	C₂³	semidirect
191. #86622	C₂³	semidirect
192. D₃×D₄²	C₂³	semidirect
193. D₃×D₄²	C₂³	semidirect
194. D₃×D₄²	C₂³	semidirect
195. D₃×D₄²	C₂³	semidirect
196. D₃×D₄²	C₂³	semidirect
197. D₃×D₄²	C₂³	semidirect
198. #86617	C₂³	semidirect
199. #86614	C₂³	semidirect
200. #86606	C₂³	semidirect
201. #86334	C₂³	semidirect
202. #86334	C₂³	semidirect
203. #86333	C₂³	semidirect
204. #86330	D₄	semidirect
206. D₃×#535	D₄	semidirect
207. D₃×#535	D₄	semidirect
208. D₃×#535	D₄	semidirect
212. #86326	C₂³	semidirect
213. #86316	D₄	semidirect
214. #86316	D₄	semidirect
217. #86310	C₂³	semidirect
218. #86308	D₄	semidirect
220. D₃×#534	D₄	semidirect
222. #86303	C₂³	semidirect
223. #86252	C₂³	semidirect
224. #86242	D₄	semidirect
226. #86239	C₂³	semidirect
227. D₃×#532	D₄	semidirect
229. #86197	C₂³	semidirect
230. #86195	D₄	semidirect
232. C₂×#5717	C₂³	semidirect
233. C₂×D₃×#127	D₄	semidirect
235. #86052	C₂³	semidirect
236. #86039	D₄	semidirect
238. #86038	C₂³	semidirect
239. D₃×#525	D₄	semidirect
241. #85921	C₂³	semidirect
242. #85919	D₄	semidirect
244. C₂×#5590	C₂³	semidirect
245. C₂×D₃×#120	D₄	semidirect
247. #85867	D₄	semidirect
248. D₃×#518	D₄	semidirect
249. #85846	D₄	semidirect
250. C₄×D₃×#41	D₄	semidirect
251. C₃×#3027	C₂³	semidirect
252. C₃×#3026	C₂³	semidirect
253. C₃×#3025	C₂³	semidirect
254. C₂×C₃×B(4,𝔽₂)	C₂³	semidirect
255. C₃×#3021	C₂³	semidirect
256. C₃×#3019	C₂³	semidirect
257. C₃×#3018	C₂³	semidirect
258. C₂×C₃×#453	C₂³	semidirect
259. C₃×#2888	C₂³	semidirect
260. C₃×#2883	C₂³	semidirect
261. #84126	C₂³	semidirect
262. #84125	C₂³	semidirect
263. #84122	C₂³	semidirect
264. #84121	C₂³	semidirect
265. #84110	C₂³	semidirect
266. C₂×#5244	C₂³	semidirect
267. #84107	C₂³	semidirect
268. #84104	C₂³	semidirect
269. C₂×#5241	C₂³	semidirect
270. #84100	C₂³	semidirect
271. #83396	C₂³	semidirect
272. #83395	C₂³	semidirect
273. #83394	C₂³	semidirect
274. #83375	C₂³	semidirect
275. #83322	C₂³	semidirect
276. C₂×#5077	C₂³	semidirect
277. #82936	C₂³	semidirect
278. C₂×#5032	C₂³	semidirect
279. #80311	C₂³	semidirect
280. D₃×#458	C₂³	semidirect
281. #80308	C₂³	semidirect
282. #80307	C₂³	semidirect
284. D₃×B(4,𝔽₂)	C₂³	semidirect
285. D₃×B(4,𝔽₂)	C₂³	semidirect
286. D₃×B(4,𝔽₂)	C₂³	semidirect
287. #80305	C₂³	semidirect
288. #80304	C₂³	semidirect
289. #80292	C₂³	semidirect
290. #80291	C₂³	semidirect
291. D₃×#455	C₂³	semidirect
292. #80279	C₂³	semidirect
293. #80278	C₂³	semidirect
294. #80277	C₂³	semidirect
296. D₃×#453	C₂³	semidirect
297. D₃×#453	C₂³	semidirect
298. D₃×#453	C₂³	semidirect
299. #78717	C₂³	semidirect
300. #78716	C₂³	semidirect
301. #78714	C₂³	semidirect
302. D₃×#413	C₂³	semidirect
303. #78700	C₂³	semidirect
304. C₂×#4747	C₂³	semidirect
305. #78697	C₂³	semidirect
306. C₂×D₃×#100	C₂³	semidirect
307. #78694	C₂³	semidirect
308. D₃×#410	C₂³	semidirect
309. #78691	C₂³	semidirect
310. #78690	C₂³	semidirect
311. #78688	C₂³	semidirect
312. C₂×D₃×#99	C₂³	semidirect
313. #78686	C₂³	semidirect
314. C₂×#4741	C₂³	semidirect
315. C₃×#2200	C₂³	semidirect
316. C₃×#2199	C₂³	semidirect
317. C₃×#2198	C₂³	semidirect
318. C₃×#2197	C₂³	semidirect
319. C₃×#2196	C₂³	semidirect
320. C₃×#2196	C₂³	semidirect
321. C₃×#2196	C₂³	semidirect
322. C₃×#2128	C₂³	semidirect
323. C₃×#2127	C₂³	semidirect
324. C₃×#2126	C₂³	semidirect
325. C₂×C₃×#353	C₂³	semidirect
326. C₃×#2122	C₂³	semidirect
327. C₃×#2121	C₂³	semidirect
328. C₃×#2120	C₂³	semidirect
329. C₂×C₃×AΣL(1,𝔽₁₆)	C₂³	semidirect
330. #71950	C₂³	semidirect
331. #71947	C₂³	semidirect
332. #71946	C₂³	semidirect
333. #71922	C₂³	semidirect
334. #71909	C₂³	semidirect
335. #71909	C₂³	semidirect
336. #71909	C₂³	semidirect
337. #71861	C₂³	semidirect
338. #71860	C₂³	semidirect
339. #71859	C₂³	semidirect
340. #71847	C₂³	semidirect
341. #71819	C₂³	semidirect
342. C₂×#4545	C₂³	semidirect
343. #71716	C₂³	semidirect
344. C₂×#4536	C₂³	semidirect
345. #71002	C₂³	semidirect
346. #71001	C₂³	semidirect
347. #71000	C₂³	semidirect
348. #70999	C₂³	semidirect
349. #70998	C₂³	semidirect
350. #70997	C₂³	semidirect
351. #70996	C₂³	semidirect
352. #70996	C₂³	semidirect
353. #70996	C₂³	semidirect
354. #70996	C₂³	semidirect
355. #70991	C₂³	semidirect
356. #70990	C₂³	semidirect
357. #70986	C₂³	semidirect
358. #70985	C₂³	semidirect
359. #70984	C₂³	semidirect
360. #70984	C₂³	semidirect
361. #70984	C₂³	semidirect
362. #70146	C₂³	semidirect
363. #70145	C₂³	semidirect
364. #70094	C₂³	semidirect
365. C₂×#4475	C₂³	semidirect
366. #70061	C₂³	semidirect
367. #70060	C₂³	semidirect
368. #70057	C₂³	semidirect
369. #70056	C₂³	semidirect
370. #70019	C₂³	semidirect
371. C₂×#4474	C₂³	semidirect
372. #70015	C₂³	semidirect
373. C₂×#4471	C₂³	semidirect
374. #69158	C₂³	semidirect
375. #69157	C₂³	semidirect
376. D₃×#354	C₂³	semidirect
377. #69154	C₂³	semidirect
378. #69153	C₂³	semidirect
379. #69152	C₂³	semidirect
380. #69151	C₂³	semidirect
381. #69150	C₂³	semidirect
382. D₃×#353	C₂³	semidirect
383. D₃×#353	C₂³	semidirect
384. D₃×#353	C₂³	semidirect
385. D₃×#353	C₂³	semidirect
386. #69148	C₂³	semidirect
387. #69147	C₂³	semidirect
388. #69146	C₂³	semidirect
389. #69146	C₂³	semidirect
390. #69146	C₂³	semidirect
391. #69144	C₂³	semidirect
392. #69143	C₂³	semidirect
393. D₃×#352	C₂³	semidirect
394. #69140	C₂³	semidirect
395. #69139	C₂³	semidirect
396. #69138	C₂³	semidirect
397. #69137	C₂³	semidirect
398. #69136	C₂³	semidirect
399. #69135	C₂³	semidirect
400. D₃×AΣL(1,𝔽₁₆)	C₂³	semidirect
401. D₃×AΣL(1,𝔽₁₆)	C₂³	semidirect
402. D₃×AΣL(1,𝔽₁₆)	C₂³	semidirect
403. D₃×AΣL(1,𝔽₁₆)	C₂³	semidirect
404. #69133	C₂³	semidirect
405. #69132	C₂³	semidirect
406. #69131	C₂³	semidirect
407. #69130	C₂³	semidirect
408. #69130	C₂³	semidirect
409. #69130	C₂³	semidirect
410. #69130	C₂³	semidirect
411. #63011	C₂×D₃	semidirect
412. #60399	C₂×D₃	semidirect
413. #60388	C₂×D₃	semidirect
414. #33559	C₂×D₃	semidirect
415. #33557	C₂×D₃	semidirect
416. #33553	C₂×D₃	semidirect
417. #33551	C₂×D₃	semidirect
418. #33546	C₂×D₃	semidirect
419. C₂×#2196	C₂×D₃	semidirect
420. #33359	C₂×D₃	semidirect
421. #33348	C₂×D₃	semidirect
422. C₂⁵×D₃	C₂×D₄	semidirect
423. C₃×#585	C₂⁴	semidirect
424. C₂×C₃×H(5,𝔽₂)	C₂×D₄	semidirect
426. C₂×C₃×H(5,𝔽₂)	C₂⁴	semidirect
427. C₂³×C₃×D₄	C₂×D₄	semidirect
428. C₂³×#67	C₂×D₄	semidirect
429. #5966	C₂⁴	semidirect
431. D₃×H(5,𝔽₂)	C₂⁴	semidirect
432. #5964	C₂⁴	semidirect
436. C₂×#1009	C₂×D₄	semidirect
437. C₂×#1009	C₂×D₄	semidirect
438. C₂×#1009	C₂×D₄	semidirect
443. C₂×D₃×#41	C₂×D₄	semidirect
444. C₂×D₃×#41	C₂×D₄	semidirect
449. C₂×#1004	C₂×D₄	semidirect
450. C₂×#1004	C₂×D₄	semidirect
452. C₂×#1004	C₂⁴	semidirect
456. C₂²×D₃×D₄	C₂×D₄	semidirect
457. C₂²×D₃×D₄	C₂×D₄	semidirect
458. C₂²×D₃×D₄	C₂×D₄	semidirect
459. C₂²×D₃×D₄	C₂×D₄	semidirect
460. C₂²×D₃×D₄	C₂×D₄	semidirect
461. C₂²×D₃×D₄	C₂×D₄	semidirect
462. C₂²×D₃×D₄	C₂×D₄	semidirect
464. C₂³×D₁₂	C₂×D₄	semidirect
465. C₂³×C₄×D₃	C₂×D₄	semidirect
466. C₃×H(3,𝔽₄)	C₂⁴	semidirect
467. C₃×#560	C₂⁴	semidirect
468. C₃×#559	C₂⁴	semidirect
469. C₃×#551	C₂⁴	semidirect
470. C₃×D₄²	C₂⁴	semidirect
471. C₃×D₄²	C₂⁴	semidirect
472. C₃×D₄²	C₂⁴	semidirect
473. C₃×#535	C₂×D₄	semidirect
474. C₃×#535	C₂×D₄	semidirect
475. C₃×#535	C₂×D₄	semidirect
479. C₃×#534	C₂×D₄	semidirect
481. C₃×#532	C₂×D₄	semidirect
483. C₂×C₃×#127	C₂×D₄	semidirect
485. C₃×#525	C₂×D₄	semidirect
487. C₂×C₃×#120	C₂×D₄	semidirect
489. C₃×#518	C₂×D₄	semidirect
490. C₃×C₄×#41	C₂×D₄	semidirect
491. C₂×#953	C₂×D₄	semidirect
492. C₂×#953	C₂×D₄	semidirect
493. #5832	C₂×D₄	semidirect
494. #5832	C₂×D₄	semidirect
495. #5832	C₂×D₄	semidirect
497. #5830	C₂×D₄	semidirect
498. #5830	C₂×D₄	semidirect
499. #5830	C₂×D₄	semidirect
500. #5830	C₂×D₄	semidirect
503. #5828	C₂×D₄	semidirect
505. Dic₃×#41	C₂×D₄	semidirect
506. #5805	C₂×D₄	semidirect
507. #5805	C₂×D₄	semidirect
508. #5805	C₂×D₄	semidirect
509. #5805	C₂×D₄	semidirect
510. #5805	C₂×D₄	semidirect
512. #5804	C₂×D₄	semidirect
513. #5804	C₂×D₄	semidirect
514. #5804	C₂×D₄	semidirect
516. C₂×#940	C₂×D₄	semidirect
517. C₂×#940	C₂×D₄	semidirect
518. C₂×#940	C₂×D₄	semidirect
520. C₂×#937	C₂×D₄	semidirect
522. #5798	C₂×D₄	semidirect
523. #5791	C₂×D₄	semidirect
524. #5791	C₂×D₄	semidirect
525. #5725	C₂×D₄	semidirect
526. #5725	C₂×D₄	semidirect
527. D₃×C₄⋊Q₈	C₂×D₄	semidirect
528. #5720	C₂⁴	semidirect
529. #5717	C₂⁴	semidirect
530. #5717	C₂⁴	semidirect
531. #5717	C₂⁴	semidirect
532. #5716	C₂×D₄	semidirect
534. #5715	C₂×D₄	semidirect
535. #5715	C₂×D₄	semidirect
536. #5715	C₂×D₄	semidirect
537. #5715	C₂×D₄	semidirect
540. D₃×#127	C₂×D₄	semidirect
541. D₃×#127	C₂×D₄	semidirect
542. D₃×#127	C₂×D₄	semidirect
543. D₃×#127	C₂×D₄	semidirect
544. D₃×#127	C₂×D₄	semidirect
545. D₃×#127	C₂×D₄	semidirect
546. D₃×#127	C₂×D₄	semidirect
551. #5713	C₂⁴	semidirect
552. #5683	C₂⁴	semidirect
553. #5679	C₂⁴	semidirect
554. #5674	C₂×D₄	semidirect
555. #5674	C₂×D₄	semidirect
556. #5674	C₂×D₄	semidirect
557. #5674	C₂×D₄	semidirect
558. #5674	C₂×D₄	semidirect
560. D₃×#124	C₂×D₄	semidirect
561. D₃×#124	C₂×D₄	semidirect
562. D₃×#124	C₂×D₄	semidirect
564. #5668	C₂×D₄	semidirect
565. #5668	C₂×D₄	semidirect
566. #5668	C₂×D₄	semidirect
568. #5666	C₂⁴	semidirect
569. #5664	C₂⁴	semidirect
570. #5659	C₂⁴	semidirect
571. #5656	C₂×D₄	semidirect
572. #5656	C₂×D₄	semidirect
574. #5653	C₂×D₄	semidirect
575. #5653	C₂×D₄	semidirect
576. #5653	C₂×D₄	semidirect
578. D₃×#123	C₂×D₄	semidirect
579. D₃×#123	C₂×D₄	semidirect
581. #5595	C₂⁴	semidirect
582. #5594	C₂⁴	semidirect
583. #5592	C₂×D₄	semidirect
584. #5592	C₂×D₄	semidirect
585. #5592	C₂×D₄	semidirect
587. #5590	C₂⁴	semidirect
588. #5590	C₂⁴	semidirect
589. #5590	C₂⁴	semidirect
590. #5590	C₂⁴	semidirect
591. #5589	C₂×D₄	semidirect
592. #5589	C₂×D₄	semidirect
593. #5589	C₂×D₄	semidirect
595. D₃×#120	C₂×D₄	semidirect
596. D₃×#120	C₂×D₄	semidirect
597. D₃×#120	C₂×D₄	semidirect
598. D₃×#120	C₂×D₄	semidirect
599. D₃×#120	C₂×D₄	semidirect
600. D₃×#120	C₂×D₄	semidirect
601. D₃×#120	C₂×D₄	semidirect
602. D₃×#120	C₂×D₄	semidirect
603. D₃×#120	C₂×D₄	semidirect
604. D₃×#120	C₂×D₄	semidirect
605. D₃×#120	C₂×D₄	semidirect
610. #5587	C₂⁴	semidirect
611. #5586	C₂×D₄	semidirect
612. #5586	C₂×D₄	semidirect
614. #5525	C₂×D₄	semidirect
615. #5525	C₂×D₄	semidirect
616. #5525	C₂×D₄	semidirect
617. #5525	C₂×D₄	semidirect
618. #5525	C₂×D₄	semidirect
619. #5525	C₂×D₄	semidirect
620. #5524	C₂×D₄	semidirect
621. #5524	C₂×D₄	semidirect
622. #5522	C₂×D₄	semidirect
623. #5522	C₂×D₄	semidirect
624. #5521	C₂×D₄	semidirect
625. #5521	C₂×D₄	semidirect
626. D₃×#117	C₂×D₄	semidirect
627. D₃×#117	C₂×D₄	semidirect
628. D₃×#117	C₂×D₄	semidirect
629. D₃×#117	C₂×D₄	semidirect
630. #5493	C₂×D₄	semidirect
631. #5493	C₂×D₄	semidirect
632. C₂×#882	C₂×D₄	semidirect
633. C₂×#882	C₂×D₄	semidirect
634. #5486	C₂×D₄	semidirect
635. #5486	C₂×D₄	semidirect
636. C₂×D₃×C₂²⋊C₄	C₂×D₄	semidirect
637. C₂×D₃×C₂²⋊C₄	C₂×D₄	semidirect
638. #5477	C₂×D₄	semidirect
639. #5477	C₂×D₄	semidirect
640. C₂×#874	C₂×D₄	semidirect
641. C₂×#874	C₂×D₄	semidirect
642. C₄×#235	C₂×D₄	semidirect
643. C₄×#235	C₂×D₄	semidirect
644. C₂×C₄²×D₃	C₂×D₄	semidirect
645. C₂×C₄²×D₃	C₂×D₄	semidirect
646. C₃×#458	C₂⁴	semidirect
648. C₃×B(4,𝔽₂)	C₂⁴	semidirect
649. C₃×#455	C₂⁴	semidirect
651. C₃×#453	C₂⁴	semidirect
652. C₃×#413	C₂⁴	semidirect
653. C₂×C₃×#100	C₂⁴	semidirect
654. C₃×#410	C₂⁴	semidirect
655. C₂×C₃×#99	C₂⁴	semidirect
657. #5244	C₂⁴	semidirect
658. #5243	C₂⁴	semidirect
659. #5242	C₂⁴	semidirect
661. #5241	C₂⁴	semidirect
662. #5240	C₂⁴	semidirect
663. #5237	C₂⁴	semidirect
664. C₂×#834	C₂⁴	semidirect
665. C₂×#833	C₂⁴	semidirect
667. #5077	C₂⁴	semidirect
668. #5061	C₂⁴	semidirect
669. #5053	C₂⁴	semidirect
671. #5032	C₂⁴	semidirect
673. #4747	C₂⁴	semidirect
674. #4746	C₂⁴	semidirect
675. #4745	C₂⁴	semidirect
677. D₃×#100	C₂⁴	semidirect
679. D₃×#99	C₂⁴	semidirect
680. #4742	C₂⁴	semidirect
682. #4741	C₂⁴	semidirect
683. #4740	C₂⁴	semidirect
684. C₃×#354	C₂⁴	semidirect
685. C₃×#353	C₂⁴	semidirect
686. C₃×#353	C₂⁴	semidirect
687. C₃×#352	C₂⁴	semidirect
688. C₃×AΣL(1,𝔽₁₆)	C₂⁴	semidirect
689. C₃×AΣL(1,𝔽₁₆)	C₂⁴	semidirect
690. #4545	C₂⁴	semidirect
691. #4545	C₂⁴	semidirect
692. #4541	C₂⁴	semidirect
693. #4539	C₂⁴	semidirect
694. #4536	C₂⁴	semidirect
695. #4536	C₂⁴	semidirect
696. #4476	C₂⁴	semidirect
697. #4475	C₂⁴	semidirect
698. #4475	C₂⁴	semidirect
699. #4474	C₂⁴	semidirect
700. #4474	C₂⁴	semidirect
701. #4473	C₂⁴	semidirect
702. #4472	C₂⁴	semidirect
703. #4471	C₂⁴	semidirect
704. #4471	C₂⁴	semidirect
705. H(7,𝔽₂)	C₂²×D₃	semidirect
706. #3549	C₂²×D₃	semidirect
707. #3543	C₂²×D₃	semidirect
708. #3537	C₂²×D₃	semidirect
709. #3532	C₂²×D₃	semidirect
712. #3481	C₂²×D₃	semidirect
713. C₂×D₄²	C₂²×D₃	semidirect
714. #3027	C₂²×D₃	semidirect
715. #3026	C₂²×D₃	semidirect
716. #3025	C₂²×D₃	semidirect
717. C₂×B(4,𝔽₂)	C₂²×D₃	semidirect
718. #3021	C₂²×D₃	semidirect
719. #3019	C₂²×D₃	semidirect
720. #3018	C₂²×D₃	semidirect
721. C₂×#453	C₂²×D₃	semidirect
722. #2888	C₂²×D₃	semidirect
723. #2883	C₂²×D₃	semidirect
724. #2200	C₂²×D₃	semidirect
725. #2199	C₂²×D₃	semidirect
726. #2198	C₂²×D₃	semidirect
727. #2197	C₂²×D₃	semidirect
728. #2196	C₂²×D₃	semidirect
729. #2196	C₂²×D₃	semidirect
730. #2196	C₂²×D₃	semidirect
731. #2128	C₂²×D₃	semidirect
732. #2127	C₂²×D₃	semidirect
733. #2126	C₂²×D₃	semidirect
734. C₂×#353	C₂²×D₃	semidirect
735. #2122	C₂²×D₃	semidirect
736. #2121	C₂²×D₃	semidirect
737. #2120	C₂²×D₃	semidirect
738. C₂×AΣL(1,𝔽₁₆)	C₂²×D₃	semidirect
739. C₂⁵×C₃	C₂²×D₄	semidirect
744. C₂⁴×D₃	C₂²×D₄	semidirect
745. C₂⁴×D₃	C₂²×D₄	semidirect
746. C₂⁴×D₃	C₂²×D₄	semidirect
751. C₂×C₃×#41	C₂²×D₄	semidirect
752. C₂×C₃×#41	C₂²×D₄	semidirect
757. C₂²×C₃×D₄	C₂²×D₄	semidirect
758. C₂²×C₃×D₄	C₂²×D₄	semidirect
759. C₂²×C₃×D₄	C₂²×D₄	semidirect
760. C₂²×C₃×D₄	C₂²×D₄	semidirect
762. C₂³×C₃×C₄	C₂²×D₄	semidirect
768. C₂²×#67	C₂²×D₄	semidirect
769. C₂²×#67	C₂²×D₄	semidirect
770. C₂²×#67	C₂²×D₄	semidirect
771. C₂³×Dic₃	C₂²×D₄	semidirect
776. C₂×#239	C₂²×D₄	semidirect
777. C₂×#239	C₂²×D₄	semidirect
789. C₂×#237	C₂²×D₄	semidirect
790. C₂×#237	C₂²×D₄	semidirect
812. C₂×D₃×D₄	C₂²×D₄	semidirect
813. C₂×D₃×D₄	C₂²×D₄	semidirect
814. C₂×D₃×D₄	C₂²×D₄	semidirect
825. C₂×#235	C₂²×D₄	semidirect
826. C₂×#235	C₂²×D₄	semidirect
831. C₂²×D₁₂	C₂²×D₄	semidirect
832. C₂²×D₁₂	C₂²×D₄	semidirect
833. C₂²×D₁₂	C₂²×D₄	semidirect
834. C₂²×D₁₂	C₂²×D₄	semidirect
840. C₂²×C₄×D₃	C₂²×D₄	semidirect
841. C₂²×C₄×D₃	C₂²×D₄	semidirect
842. C₃×C₄⋊Q₈	C₂²×D₄	semidirect
843. C₃×#127	C₂²×D₄	semidirect
844. C₃×#127	C₂²×D₄	semidirect
845. C₃×#127	C₂²×D₄	semidirect
848. C₃×#124	C₂²×D₄	semidirect
849. C₃×#124	C₂²×D₄	semidirect
850. C₃×#124	C₂²×D₄	semidirect
852. C₃×#123	C₂²×D₄	semidirect
853. C₃×#123	C₂²×D₄	semidirect
855. C₃×#120	C₂²×D₄	semidirect
856. C₃×#120	C₂²×D₄	semidirect
857. C₃×#120	C₂²×D₄	semidirect
858. C₃×#120	C₂²×D₄	semidirect
859. C₃×#120	C₂²×D₄	semidirect
862. C₃×#117	C₂²×D₄	semidirect
863. C₃×#117	C₂²×D₄	semidirect
864. C₃×#117	C₂²×D₄	semidirect
865. C₃×#117	C₂²×D₄	semidirect
866. C₂×C₃×C₂²⋊C₄	C₂²×D₄	semidirect
867. C₂×C₃×C₂²⋊C₄	C₂²×D₄	semidirect
868. C₂×C₃×C₄²	C₂²×D₄	semidirect
869. C₂×C₃×C₄²	C₂²×D₄	semidirect
872. #953	C₂²×D₄	semidirect
873. #953	C₂²×D₄	semidirect
874. #953	C₂²×D₄	semidirect
875. #953	C₂²×D₄	semidirect
876. #953	C₂²×D₄	semidirect
877. C₂×#217	C₂²×D₄	semidirect
878. C₂×#217	C₂²×D₄	semidirect
880. #947	C₂²×D₄	semidirect
881. #947	C₂²×D₄	semidirect
882. #947	C₂²×D₄	semidirect
883. #944	C₂²×D₄	semidirect
884. #944	C₂²×D₄	semidirect
887. #940	C₂²×D₄	semidirect
888. #940	C₂²×D₄	semidirect
889. #940	C₂²×D₄	semidirect
890. #940	C₂²×D₄	semidirect
891. #940	C₂²×D₄	semidirect
892. #940	C₂²×D₄	semidirect
895. #937	C₂²×D₄	semidirect
896. #937	C₂²×D₄	semidirect
897. #937	C₂²×D₄	semidirect
898. #937	C₂²×D₄	semidirect
899. #937	C₂²×D₄	semidirect
902. #936	C₂²×D₄	semidirect
903. #936	C₂²×D₄	semidirect
904. #936	C₂²×D₄	semidirect
906. #935	C₂²×D₄	semidirect
907. #935	C₂²×D₄	semidirect
910. #929	C₂²×D₄	semidirect
911. #929	C₂²×D₄	semidirect
912. #926	C₂²×D₄	semidirect
913. #926	C₂²×D₄	semidirect
914. #926	C₂²×D₄	semidirect
915. #926	C₂²×D₄	semidirect
916. C₂×C₄×Dic₃	C₂²×D₄	semidirect
917. C₂×C₄×Dic₃	C₂²×D₄	semidirect
919. #886	C₂²×D₄	semidirect
920. #886	C₂²×D₄	semidirect
923. #882	C₂²×D₄	semidirect
924. #882	C₂²×D₄	semidirect
925. #882	C₂²×D₄	semidirect
926. #882	C₂²×D₄	semidirect
927. #882	C₂²×D₄	semidirect
931. D₃×C₂²⋊C₄	C₂²×D₄	semidirect
932. D₃×C₂²⋊C₄	C₂²×D₄	semidirect
933. D₃×C₂²⋊C₄	C₂²×D₄	semidirect
934. D₃×C₂²⋊C₄	C₂²×D₄	semidirect
935. #877	C₂²×D₄	semidirect
936. #877	C₂²×D₄	semidirect
937. #877	C₂²×D₄	semidirect
939. #875	C₂²×D₄	semidirect
940. #875	C₂²×D₄	semidirect
941. #875	C₂²×D₄	semidirect
944. #874	C₂²×D₄	semidirect
945. #874	C₂²×D₄	semidirect
946. #874	C₂²×D₄	semidirect
947. #872	C₂²×D₄	semidirect
948. #872	C₂²×D₄	semidirect
949. #872	C₂²×D₄	semidirect
953. C₄²×D₃	C₂²×D₄	semidirect
954. C₄²×D₃	C₂²×D₄	semidirect
955. C₄²×D₃	C₂²×D₄	semidirect
956. C₄²×D₃	C₂²×D₄	semidirect
957. #869	C₂²×D₄	semidirect
962. #585	C₂³×D₃	semidirect
963. C₂×H(5,𝔽₂)	D₃×D₄	semidirect
965. C₂×H(5,𝔽₂)	C₂³×D₃	semidirect
966. C₂³×D₄	D₃×D₄	semidirect
967. H(3,𝔽₄)	C₂³×D₃	semidirect
968. #560	C₂³×D₃	semidirect
969. #559	C₂³×D₃	semidirect
970. #551	C₂³×D₃	semidirect
971. D₄²	C₂³×D₃	semidirect
972. D₄²	C₂³×D₃	semidirect
973. D₄²	C₂³×D₃	semidirect
974. #535	D₃×D₄	semidirect
975. #535	D₃×D₄	semidirect
976. #535	D₃×D₄	semidirect
980. #534	D₃×D₄	semidirect
982. #532	D₃×D₄	semidirect
984. C₂×#127	D₃×D₄	semidirect
986. #525	D₃×D₄	semidirect
988. C₂×#120	D₃×D₄	semidirect
990. #518	D₃×D₄	semidirect
991. C₄×#41	D₃×D₄	semidirect
992. #458	C₂³×D₃	semidirect
994. B(4,𝔽₂)	C₂³×D₃	semidirect
995. #455	C₂³×D₃	semidirect
997. #453	C₂³×D₃	semidirect
998. #413	C₂³×D₃	semidirect
999. C₂×#100	C₂³×D₃	semidirect
1000. #410	C₂³×D₃	semidirect
1001. C₂×#99	C₂³×D₃	semidirect
1002. #354	C₂³×D₃	semidirect
1003. #353	C₂³×D₃	semidirect
1004. #353	C₂³×D₃	semidirect
1005. #352	C₂³×D₃	semidirect
1006. AΣL(1,𝔽₁₆)	C₂³×D₃	semidirect
1007. AΣL(1,𝔽₁₆)	C₂³×D₃	semidirect
1099. C₂⁵	C₂×D₃×D₄	semidirect
1104. C₂×#41	C₂×D₃×D₄	semidirect
1105. C₂×#41	C₂×D₃×D₄	semidirect
1110. C₂²×D₄	C₂×D₃×D₄	semidirect
1111. C₂²×D₄	C₂×D₃×D₄	semidirect
1112. C₂²×D₄	C₂×D₃×D₄	semidirect
1113. C₂²×D₄	C₂×D₃×D₄	semidirect
1115. C₂³×C₄	C₂×D₃×D₄	semidirect
1116. C₄⋊Q₈	C₂×D₃×D₄	semidirect
1117. #127	C₂×D₃×D₄	semidirect
1118. #127	C₂×D₃×D₄	semidirect
1119. #127	C₂×D₃×D₄	semidirect
1122. #124	C₂×D₃×D₄	semidirect
1123. #124	C₂×D₃×D₄	semidirect
1124. #124	C₂×D₃×D₄	semidirect
1126. #123	C₂×D₃×D₄	semidirect
1127. #123	C₂×D₃×D₄	semidirect
1129. #120	C₂×D₃×D₄	semidirect
1130. #120	C₂×D₃×D₄	semidirect
1131. #120	C₂×D₃×D₄	semidirect
1132. #120	C₂×D₃×D₄	semidirect
1133. #120	C₂×D₃×D₄	semidirect
1136. #117	C₂×D₃×D₄	semidirect
1137. #117	C₂×D₃×D₄	semidirect
1138. #117	C₂×D₃×D₄	semidirect
1139. #117	C₂×D₃×D₄	semidirect
1140. C₂×C₂²⋊C₄	C₂×D₃×D₄	semidirect
1141. C₂×C₂²⋊C₄	C₂×D₃×D₄	semidirect
1142. C₂×C₄²	C₂×D₃×D₄	semidirect
1143. C₂×C₄²	C₂×D₃×D₄	semidirect
1215. D₃	#7622880	direct (N × H)
1219. C₃	C₂×#7622880	semidirect

Maximal subgroups

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

subgroup	index
#72255253	2
C₃×#7622880	2
#72255248	2
D₃×#33559	2
#72255244	2
#72255242	2
D₃×#33348	2
#72255236	2
D₃×#33359	2
#72255228	2
#72255227	2
D₃×#33557	2
#72255224	2
#72255222	2
#72255219	2
#72255218	2
D₃×#33546	2
D₃×#33553	2
D₃×#63011	2
C₂×D₃×#2196	2
C₂×#7622880	3
D₃×#60399	2
D₃×#60388	2
D₃×#33551	2

Subgroups — D3×#7622880 #72255277

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#7622880 #72255277