Subgroups — #11904949

Order 1152.

3156 conjugacy classes of subgroups.

The subgroup lattice has 1455 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596178	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596177	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596176	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596176	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596165	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596164	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596164	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596163	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596163	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596162	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596129	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596124	C₂	1	1	yes	maximal, characteristic
14	C₃⋊D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596121	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596109	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596105	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596052	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596051	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596016	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596002	C₂	1	1	yes	maximal, characteristic, complemented
25	#10595999	C₂	1	1	yes	maximal, characteristic, complemented
26	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
27	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
28	#10595992	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃⋊D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
30	#10595984	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64103	C₂	1	1	yes	maximal, characteristic, complemented
32	#86859	—	3	4	no	maximal
33	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
34	C₂²×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
35	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
36	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
38	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
39	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#123	C₂²	1	1	yes	characteristic
42	C₃²×#123	C₂²	1	1	yes	characteristic
43	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
48	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
51	#64156	C₂²	1	1	yes	characteristic, complemented
52	#64155	C₂²	1	1	yes	characteristic, complemented
53	#64155	C₂²	1	1	yes	characteristic, complemented
54	#64155	C₂²	1	1	yes	characteristic, complemented
55	#64146	C₂²	1	1	yes	characteristic
56	#64144	C₂²	1	1	yes	characteristic
57	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic
58	#64138	C₂²	1	1	yes	characteristic
59	#64138	C₂²	1	1	yes	characteristic
60	#64138	C₂²	1	1	yes	characteristic, complemented
61	C₄×#638	C₂²	1	1	yes	characteristic
62	C₄×#638	C₂²	1	1	yes	characteristic, complemented
63	C₄×#638	C₂²	1	1	yes	characteristic, complemented
64	C₂×#3752	C₂²	1	1	yes	characteristic
65	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
66	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
67	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
68	#64135	C₂²	1	1	yes	characteristic, complemented
69	#64135	C₂²	1	1	yes	characteristic, complemented
70	#64133	C₂²	1	1	yes	characteristic, complemented
71	C₂×#3750	C₂²	1	1	yes	characteristic, complemented
72	#64107	C₂²	1	1	yes	characteristic, complemented
73	#64107	C₂²	1	1	yes	characteristic, complemented
74	#64107	C₂²	1	1	yes	characteristic, complemented
75	#64107	C₂²	1	1	yes	characteristic, complemented
76	#64107	C₂²	1	1	yes	characteristic, complemented
77	#64107	C₂²	1	1	yes	characteristic, complemented
78	#64107	C₂²	1	1	yes	characteristic, complemented
79	#64107	C₂²	1	1	yes	characteristic, complemented
80	#64107	C₂²	1	1	yes	characteristic, complemented
81	#64106	C₂²	1	1	yes	characteristic, complemented
82	#64106	C₂²	1	1	yes	characteristic, complemented
83	#64106	C₂²	1	1	yes	characteristic, complemented
84	#64106	C₂²	1	1	yes	characteristic, complemented
85	#64105	C₂²	1	1	yes	characteristic, complemented
86	#64105	C₂²	1	1	yes	characteristic, complemented
87	#64105	C₂²	1	1	yes	characteristic, complemented
88	#64105	C₂²	1	1	yes	characteristic, complemented
89	#64105	C₂²	1	1	yes	characteristic, complemented
90	#64105	C₂²	1	1	yes	characteristic, complemented
91	#64105	C₂²	1	1	yes	characteristic, complemented
92	#64104	C₂²	1	1	yes	characteristic
93	#64104	C₂²	1	1	yes	characteristic
94	#64103	C₂²	1	1	yes	characteristic
95	#64103	C₂²	1	1	yes	characteristic
96	#64103	C₂²	1	1	yes	characteristic
97	#64103	C₂²	1	1	yes	characteristic
98	#64103	C₂²	1	1	yes	characteristic
99	#64103	C₂²	1	1	yes	characteristic
100	#64103	C₂²	1	1	yes	characteristic, complemented
101	#64103	C₂²	1	1	yes	characteristic, complemented
102	#64103	C₂²	1	1	yes	characteristic, complemented
103	#64103	C₂²	1	1	yes	characteristic, complemented
104	#64103	C₂²	1	1	yes	characteristic, complemented
105	#64103	C₂²	1	1	yes	characteristic, complemented
106	#64103	C₂²	1	1	yes	characteristic, complemented
107	#64103	C₂²	1	1	yes	characteristic, complemented
108	#64103	C₂²	1	1	yes	characteristic, complemented
109	#64103	C₂²	1	1	yes	characteristic, complemented
110	#64102	C₂²	1	1	yes	characteristic
111	#64102	C₂²	1	1	yes	characteristic
112	#64102	C₂²	1	1	yes	characteristic, complemented
113	#64102	C₂²	1	1	yes	characteristic, complemented
114	#64102	C₂²	1	1	yes	characteristic, complemented
115	#64102	C₂²	1	1	yes	characteristic, complemented
116	#64101	C₂²	1	1	yes	characteristic, complemented
117	#64101	C₂²	1	1	yes	characteristic, complemented
118	#64101	C₂²	1	1	yes	characteristic, complemented
119	#64101	C₂²	1	1	yes	characteristic, complemented
120	#64101	C₂²	1	1	yes	characteristic, complemented
121	#64101	C₂²	1	1	yes	characteristic, complemented
122	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
123	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
124	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
125	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
126	#64099	C₂²	1	1	yes	characteristic, complemented
127	#64099	C₂²	1	1	yes	characteristic, complemented
128	#64098	C₂²	1	1	yes	characteristic, complemented
129	#64098	C₂²	1	1	yes	characteristic, complemented
130	#64098	C₂²	1	1	yes	characteristic, complemented
131	#64098	C₂²	1	1	yes	characteristic, complemented
132	#64098	C₂²	1	1	yes	characteristic, complemented
133	#64098	C₂²	1	1	yes	characteristic, complemented
134	#64096	C₂²	1	1	yes	characteristic, complemented
135	#64096	C₂²	1	1	yes	characteristic, complemented
136	#64095	C₂²	1	1	yes	characteristic
137	#64095	C₂²	1	1	yes	characteristic, complemented
138	#64094	C₂²	1	1	yes	characteristic, complemented
139	#64094	C₂²	1	1	yes	characteristic, complemented
140	#64093	C₂²	1	1	yes	characteristic
141	#64093	C₂²	1	1	yes	characteristic
142	#64092	C₂²	1	1	yes	characteristic, complemented
143	#64092	C₂²	1	1	yes	characteristic, complemented
144	#64092	C₂²	1	1	yes	characteristic, complemented
145	#64092	C₂²	1	1	yes	characteristic, complemented
146	#64091	C₂²	1	1	yes	characteristic
147	#64091	C₂²	1	1	yes	characteristic
148	#64091	C₂²	1	1	yes	characteristic
149	#64090	C₂²	1	1	yes	characteristic
150	#64090	C₂²	1	1	yes	characteristic, complemented
151	#64090	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
158	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
160	#64088	C₂²	1	1	yes	characteristic, complemented
161	#64088	C₂²	1	1	yes	characteristic, complemented
162	#64087	C₂²	1	1	yes	characteristic, complemented
163	#64087	C₂²	1	1	yes	characteristic, complemented
164	#64087	C₂²	1	1	yes	characteristic, complemented
165	#64086	C₂²	1	1	yes	characteristic, complemented
166	#64086	C₂²	1	1	yes	characteristic, complemented
167	#64086	C₂²	1	1	yes	characteristic, complemented
168	#64085	C₂²	1	1	yes	characteristic, complemented
169	#64085	C₂²	1	1	yes	characteristic, complemented
170	#64085	C₂²	1	1	yes	characteristic, complemented
171	#64084	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
173	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
178	#64081	C₂²	1	1	yes	characteristic, complemented
179	#64081	C₂²	1	1	yes	characteristic, complemented
180	#64081	C₂²	1	1	yes	characteristic, complemented
181	#64081	C₂²	1	1	yes	characteristic, complemented
182	#64081	C₂²	1	1	yes	characteristic, complemented
183	#64081	C₂²	1	1	yes	characteristic, complemented
184	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
185	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
186	#64079	C₂²	1	1	yes	characteristic, complemented
187	C₄×#634	C₂²	1	1	yes	characteristic, complemented
188	C₃×#552	D₃	1	4	yes	complemented
189	#5707	—	3	4	no	—
190	#5706	—	3	4	no	—
191	#5705	—	3	4	no	—
192	#5705	—	3	4	no	—
193	#5694	—	3	4	no	—
194	#5693	—	3	4	no	—
195	#5693	—	3	4	no	—
196	#5692	—	3	4	no	—
197	#5692	—	3	4	no	—
198	#5691	—	3	4	no	—
199	#5658	—	3	4	no	—
200	#5653	—	3	4	no	—
201	D₃×#123	—	3	4	no	—
202	#5650	—	3	4	no	—
203	#5638	—	3	4	no	—
204	#5637	—	3	4	no	—
205	#5637	—	3	4	no	—
206	#5634	—	3	4	no	—
207	#5581	—	3	4	no	—
208	#5580	—	3	4	no	—
209	#5556	—	3	4	no	—
210	#5545	—	3	4	no	—
211	#5531	—	3	4	no	—
212	#5528	—	3	4	no	—
213	#5527	—	3	4	no	—
214	#5527	—	3	4	no	—
215	#5521	—	3	4	no	—
216	D₃×#117	—	3	4	no	—
217	#5513	—	3	4	no	—
218	C₂×#894	—	3	4	no	—
219	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
220	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
221	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
222	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
224	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
226	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
227	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
228	C₂×#638	C₂³	1	1	yes	characteristic
229	C₂×#638	C₂³	1	1	yes	characteristic
230	C₂×#638	C₂³	1	1	yes	characteristic
231	C₂×#638	C₂³	1	1	yes	characteristic
232	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
233	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
234	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
235	D₄×C₃⋊D₃	—	2	4	no	—
236	C₂×C₄⋊(C₃⋊D₃)	—	2	4	no	—
237	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
244	C₂×C₄×C₃⋊D₃	—	2	4	no	—
245	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
246	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
248	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
249	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
250	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
251	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
254	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
255	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
256	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
262	C₂×#634	C₂³	1	1	yes	characteristic
263	C₂×#634	C₂³	1	1	yes	characteristic
264	C₂×#634	C₂³	1	1	yes	characteristic
265	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₃²×C₄²	C₂³	1	1	yes	characteristic
290	C₃²×C₄²	C₂³	1	1	yes	characteristic
291	C₃²×C₄²	C₂³	1	1	yes	characteristic
292	C₃²×C₄²	C₂³	1	1	yes	characteristic
293	C₃²×C₄²	C₂³	1	1	yes	characteristic
294	#3757	C₂³	1	1	yes	characteristic
295	#3757	C₂³	1	1	yes	characteristic
296	#3757	C₂³	1	1	yes	characteristic
297	#3757	C₂³	1	1	yes	characteristic
298	#3757	C₂³	1	1	yes	characteristic
299	#3757	C₂³	1	1	yes	characteristic
300	#3752	C₂³	1	1	yes	characteristic
301	#3752	C₂³	1	1	yes	characteristic
302	#3752	C₂³	1	1	yes	characteristic
303	#3752	C₂³	1	1	yes	characteristic
304	#3752	C₂³	1	1	yes	characteristic
305	#3752	C₂³	1	1	yes	characteristic
306	#3752	C₂³	1	1	yes	characteristic
307	#3752	C₂³	1	1	yes	characteristic
308	#3752	C₂³	1	1	yes	characteristic
309	#3752	C₂³	1	1	yes	characteristic
310	#3752	C₂³	1	1	yes	characteristic
311	#3752	C₂³	1	1	yes	characteristic
312	#3752	C₂³	1	1	yes	characteristic
313	#3752	C₂³	1	1	yes	characteristic
314	#3752	C₂³	1	1	yes	characteristic
315	#3752	C₂³	1	1	yes	characteristic
316	#3752	C₂³	1	1	yes	characteristic
317	#3752	C₂³	1	1	yes	characteristic
318	#3752	C₂³	1	1	yes	characteristic
319	#3752	C₂³	1	1	yes	characteristic
320	#3752	C₂³	1	1	yes	characteristic
321	#3752	C₂³	1	1	yes	characteristic
322	#3752	C₂³	1	1	yes	characteristic
323	#3752	C₂³	1	1	yes	characteristic
324	#3752	C₂³	1	1	yes	characteristic
325	#3752	C₂³	1	1	yes	characteristic
326	#3752	C₂³	1	1	yes	characteristic
327	#3752	C₂³	1	1	yes	characteristic
328	#3752	C₂³	1	1	yes	characteristic
329	#3752	C₂³	1	1	yes	characteristic
330	#3752	C₂³	1	1	yes	characteristic
331	#3752	C₂³	1	1	yes	characteristic
332	#3752	C₂³	1	1	yes	characteristic
333	#3752	C₂³	1	1	yes	characteristic
334	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
335	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
336	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
337	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
338	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
339	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
340	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
341	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
342	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
343	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
344	#3750	C₂³	1	1	yes	characteristic
345	#3750	C₂³	1	1	yes	characteristic
346	#3750	C₂³	1	1	yes	characteristic
347	#3750	C₂³	1	1	yes	characteristic
348	#3750	C₂³	1	1	yes	characteristic
349	#3750	C₂³	1	1	yes	characteristic
350	#3750	C₂³	1	1	yes	characteristic
351	#3750	C₂³	1	1	yes	characteristic
352	#3750	C₂³	1	1	yes	characteristic
353	#3750	C₂³	1	1	yes	characteristic
354	#3750	C₂³	1	1	yes	characteristic
355	#3750	C₂³	1	1	yes	characteristic
356	#3750	C₂³	1	1	yes	characteristic
357	#3750	C₂³	1	1	yes	characteristic
358	#3750	C₂³	1	1	yes	characteristic
359	#3750	C₂³	1	1	yes	characteristic
360	#3750	C₂³	1	1	yes	characteristic
361	#3750	C₂³	1	1	yes	characteristic
362	#3750	C₂³	1	1	yes	characteristic
363	#3750	C₂³	1	1	yes	characteristic
364	#3750	C₂³	1	1	yes	characteristic
365	#3750	C₂³	1	1	yes	characteristic
366	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
367	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
368	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
369	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
370	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
371	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
372	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
373	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
374	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
375	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
376	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
377	#3491	—	9	1	no	Sylow
378	C₂×D₃×D₄	—	3	4	no	—
379	C₂²×D₁₂	—	3	4	no	—
380	C₂²×C₄×D₃	—	3	4	no	—
381	C₃×#126	C₂×D₃	1	4	yes	complemented
382	C₃×#126	C₂×D₃	1	4	yes	complemented
383	C₃×#125	C₂×D₃	1	4	yes	complemented
384	C₃×#125	C₂×D₃	1	4	yes	complemented
385	C₃×#125	C₂×D₃	1	4	yes	complemented
386	C₃×#123	C₂×D₃	1	4	yes	—
387	C₃×#123	C₂×D₃	1	4	yes	—
388	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
389	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
390	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
391	C₃×C₄×D₄	C₂×D₃	1	4	yes	—
392	C₃×#117	C₂×D₃	1	4	yes	complemented
393	C₃×#117	C₂×D₃	1	4	yes	complemented
394	C₃×#117	C₂×D₃	1	4	yes	complemented
395	C₂×C₃×C₄⋊C₄	C₂×D₃	1	4	yes	complemented
396	#947	—	3	4	no	—
397	#946	—	3	4	no	—
398	#946	—	3	4	no	—
399	#946	—	3	4	no	—
400	#937	—	3	4	no	—
401	#935	—	3	4	no	—
402	D₄×Dic₃	—	3	4	no	—
403	#929	—	3	4	no	—
404	#929	—	3	4	no	—
405	#929	—	3	4	no	—
406	C₄×#67	—	3	4	no	—
407	C₄×#67	—	3	4	no	—
408	C₄×#67	—	3	4	no	—
409	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
410	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
411	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
412	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
413	#926	—	3	4	no	—
414	#926	—	3	4	no	—
415	#924	—	3	4	no	—
416	C₂×Dic₃⋊C₄	—	3	4	no	—
417	#898	—	3	4	no	—
418	#898	—	3	4	no	—
419	#898	—	3	4	no	—
420	#898	—	3	4	no	—
421	#898	—	3	4	no	—
422	#898	—	3	4	no	—
423	#898	—	3	4	no	—
424	#898	—	3	4	no	—
425	#898	—	3	4	no	—
426	#897	—	3	4	no	—
427	#897	—	3	4	no	—
428	#897	—	3	4	no	—
429	#897	—	3	4	no	—
430	#896	—	3	4	no	—
431	#896	—	3	4	no	—
432	#896	—	3	4	no	—
433	#896	—	3	4	no	—
434	#896	—	3	4	no	—
435	#896	—	3	4	no	—
436	#896	—	3	4	no	—
437	#895	—	3	4	no	—
438	#895	—	3	4	no	—
439	#894	—	3	4	no	—
440	#894	—	3	4	no	—
441	#894	—	3	4	no	—
442	#894	—	3	4	no	—
443	#894	—	3	4	no	—
444	#894	—	3	4	no	—
445	#894	—	3	4	no	—
446	#894	—	3	4	no	—
447	#894	—	3	4	no	—
448	#894	—	3	4	no	—
449	#894	—	3	4	no	—
450	#894	—	3	4	no	—
451	#894	—	3	4	no	—
452	#894	—	3	4	no	—
453	#894	—	3	4	no	—
454	#894	—	3	4	no	—
455	#893	—	3	4	no	—
456	#893	—	3	4	no	—
457	#893	—	3	4	no	—
458	#893	—	3	4	no	—
459	#893	—	3	4	no	—
460	#893	—	3	4	no	—
461	#892	—	3	4	no	—
462	#892	—	3	4	no	—
463	#892	—	3	4	no	—
464	#892	—	3	4	no	—
465	#892	—	3	4	no	—
466	#892	—	3	4	no	—
467	D₃×C₄⋊C₄	—	3	4	no	—
468	D₃×C₄⋊C₄	—	3	4	no	—
469	D₃×C₄⋊C₄	—	3	4	no	—
470	D₃×C₄⋊C₄	—	3	4	no	—
471	#890	—	3	4	no	—
472	#890	—	3	4	no	—
473	#889	—	3	4	no	—
474	#889	—	3	4	no	—
475	#889	—	3	4	no	—
476	#889	—	3	4	no	—
477	#889	—	3	4	no	—
478	#889	—	3	4	no	—
479	#887	—	3	4	no	—
480	#887	—	3	4	no	—
481	#886	—	3	4	no	—
482	#886	—	3	4	no	—
483	#885	—	3	4	no	—
484	#885	—	3	4	no	—
485	#884	—	3	4	no	—
486	#884	—	3	4	no	—
487	#883	—	3	4	no	—
488	#883	—	3	4	no	—
489	#883	—	3	4	no	—
490	#883	—	3	4	no	—
491	#882	—	3	4	no	—
492	#882	—	3	4	no	—
493	#882	—	3	4	no	—
494	#67⋊C₄	—	3	4	no	—
495	#67⋊C₄	—	3	4	no	—
496	#67⋊C₄	—	3	4	no	—
497	D₃×C₂²⋊C₄	—	3	4	no	—
498	D₃×C₂²⋊C₄	—	3	4	no	—
499	D₃×C₂²⋊C₄	—	3	4	no	—
500	D₃×C₂²⋊C₄	—	3	4	no	—
501	D₃×C₂²⋊C₄	—	3	4	no	—
502	D₃×C₂²⋊C₄	—	3	4	no	—
503	D₃×C₂²⋊C₄	—	3	4	no	—
504	D₃×C₂²⋊C₄	—	3	4	no	—
505	#879	—	3	4	no	—
506	#879	—	3	4	no	—
507	#878	—	3	4	no	—
508	#878	—	3	4	no	—
509	#878	—	3	4	no	—
510	#877	—	3	4	no	—
511	#877	—	3	4	no	—
512	#877	—	3	4	no	—
513	#876	—	3	4	no	—
514	#876	—	3	4	no	—
515	#876	—	3	4	no	—
516	#875	—	3	4	no	—
517	C₄×D₁₂	—	3	4	no	—
518	C₄×D₁₂	—	3	4	no	—
519	C₄×D₁₂	—	3	4	no	—
520	C₄×D₁₂	—	3	4	no	—
521	C₄×D₁₂	—	3	4	no	—
522	C₄×D₁₂	—	3	4	no	—
523	#872	—	3	4	no	—
524	#872	—	3	4	no	—
525	#872	—	3	4	no	—
526	#872	—	3	4	no	—
527	#872	—	3	4	no	—
528	#872	—	3	4	no	—
529	C₄²×D₃	—	3	4	no	—
530	C₄²×D₃	—	3	4	no	—
531	#870	—	3	4	no	—
532	C₄×Dic₆	—	3	4	no	—
533	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
534	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
535	C₂²×C₃⋊D₃	—	2	2	no	—
536	C₂²×C₃⋊D₃	—	2	2	no	—
537	C₂²×C₃⋊D₃	—	4	1	no	—
538	C₂²×C₃⋊D₃	—	4	1	no	—
539	C₂²×C₃⋊D₃	—	4	1	no	—
540	C₂²×C₃⋊D₃	—	4	1	no	—
541	C₂²×C₃⋊D₃	—	4	1	no	—
542	C₂²×C₃⋊D₃	—	4	1	no	—
543	C₂²×C₃⋊D₃	#41	1	4	yes	—
544	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
549	C₃²×Q₈	—	4	1	no	—
550	C₃²×D₄	—	2	2	no	—
551	C₂×C₃²×C₄	—	2	2	no	—
552	C₂×C₃²×C₄	—	2	2	no	—
553	C₂×C₃²×C₄	—	4	1	no	—
554	C₂×C₃²×C₄	—	4	1	no	—
555	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
558	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
559	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
562	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
564	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
565	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
566	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
567	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
568	#638	—	2	2	no	—
569	#638	—	2	2	no	—
570	#638	—	4	1	no	—
571	#638	—	4	1	no	—
572	C₂×C₃⋊Dic₃	—	2	2	no	—
573	C₂×C₃⋊Dic₃	—	4	1	no	—
574	C₂×C₃⋊Dic₃	—	4	1	no	—
575	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
586	C₄⋊(C₃⋊D₃)	—	2	2	no	—
587	C₄⋊(C₃⋊D₃)	—	2	2	no	—
588	C₄⋊(C₃⋊D₃)	—	2	2	no	—
589	C₄⋊(C₃⋊D₃)	—	2	2	no	—
590	C₄⋊(C₃⋊D₃)	—	2	2	no	—
591	C₄⋊(C₃⋊D₃)	—	4	1	no	—
592	C₄⋊(C₃⋊D₃)	—	4	1	no	—
593	C₄×C₃⋊D₃	—	2	2	no	—
594	C₄×C₃⋊D₃	—	2	2	no	—
595	C₄×C₃⋊D₃	—	2	2	no	—
596	C₄×C₃⋊D₃	—	2	2	no	—
597	C₄×C₃⋊D₃	—	2	2	no	—
598	C₄×C₃⋊D₃	—	4	1	no	—
599	C₄×C₃⋊D₃	—	4	1	no	—
600	C₄×C₃⋊D₃	—	4	1	no	—
601	C₄×C₃⋊D₃	—	4	1	no	—
602	C₄×C₃⋊D₃	—	4	1	no	—
603	C₄×C₃⋊D₃	—	4	1	no	—
604	C₄×C₃⋊D₃	—	4	1	no	—
605	C₄×C₃⋊D₃	—	4	1	no	—
606	C₄×C₃⋊D₃	—	4	1	no	—
607	C₄×C₃⋊D₃	—	4	1	no	—
608	C₄×C₃⋊D₃	—	4	1	no	—
609	C₄×C₃⋊D₃	—	4	1	no	—
610	#634	—	4	1	no	—
611	#634	—	4	1	no	—
612	#634	—	4	1	no	—
613	#552	—	9	1	no	—
614	#552	—	9	1	no	—
615	#552	—	9	1	no	—
616	#552	—	9	1	no	—
617	#552	—	9	1	no	—
618	#552	—	9	1	no	—
619	#552	—	9	1	no	—
620	#552	C₃⋊D₃	1	1	yes	characteristic, complemented
621	#551	—	9	1	no	—
622	#551	—	9	1	no	—
623	#551	—	9	1	no	—
624	#551	—	9	1	no	—
625	#551	—	9	1	no	—
626	#551	—	9	1	no	—
627	#551	—	9	1	no	—
628	#551	—	9	1	no	—
629	#543	—	9	1	no	—
630	#539	—	9	1	no	—
631	#539	—	9	1	no	—
632	#539	—	9	1	no	—
633	#539	—	9	1	no	—
634	#534	—	9	1	no	—
635	#529	—	9	1	no	—
636	#529	—	9	1	no	—
637	#529	—	9	1	no	—
638	#529	—	9	1	no	—
639	C₂×#123	—	9	1	no	—
640	C₂×#123	—	9	1	no	—
641	#518	—	9	1	no	—
642	#518	—	9	1	no	—
643	C₂×#117	—	9	1	no	—
644	C₂³×D₃	—	3	4	no	—
645	C₂³×D₃	—	3	4	no	—
646	C₂³×D₃	—	3	4	no	—
647	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
648	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
649	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
650	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
651	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
652	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
653	C₂×#67	—	3	4	no	—
654	C₂×#67	—	3	4	no	—
655	C₂×#67	—	3	4	no	—
656	C₂×#67	—	3	4	no	—
657	C₂²×Dic₃	—	3	4	no	—
658	C₂²×Dic₃	—	3	4	no	—
659	C₂²×Dic₃	—	3	4	no	—
660	D₃×D₄	—	6	16	no	—
661	C₂×D₁₂	—	3	4	no	—
662	C₂×D₁₂	—	3	4	no	—
663	C₂×D₁₂	—	3	4	no	—
664	C₂×D₁₂	—	3	4	no	—
665	C₂×D₁₂	—	3	4	no	—
666	C₂×D₁₂	—	3	4	no	—
667	C₂×D₁₂	—	3	4	no	—
668	C₂×D₁₂	—	6	16	no	—
669	C₂×C₄×D₃	—	3	4	no	—
670	C₂×C₄×D₃	—	3	4	no	—
671	C₂×C₄×D₃	—	3	4	no	—
672	C₂×C₄×D₃	—	3	4	no	—
673	C₂×C₄×D₃	—	3	4	no	—
674	C₂×C₄×D₃	—	3	4	no	—
675	C₂×C₄×D₃	—	3	4	no	—
676	C₂×C₄×D₃	—	3	4	no	—
677	C₂×C₄×D₃	—	3	4	no	—
678	C₂×C₄×D₃	—	3	4	no	—
679	C₂×C₄×D₃	—	3	4	no	—
680	C₂×C₄×D₃	—	3	4	no	—
681	C₂×C₄×D₃	—	3	4	no	—
682	C₂×C₄×D₃	—	3	4	no	—
683	C₂×C₄×D₃	—	3	4	no	—
684	C₂×C₄×D₃	—	3	4	no	—
685	C₂×C₄×D₃	—	3	4	no	—
686	C₂×C₄×D₃	—	6	16	no	—
687	C₂×Dic₆	—	3	4	no	—
688	C₂×Dic₆	—	3	4	no	—
689	C₂×Dic₆	—	3	4	no	—
690	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
691	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
692	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
693	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
694	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
695	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
696	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
697	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
698	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
699	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
700	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
701	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
702	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
703	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
704	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
705	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
706	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
707	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
708	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
709	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
710	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
711	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
712	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
713	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
714	C₃×C₄²	C₂²×D₃	1	4	yes	—
715	C₃×C₄²	C₂²×D₃	1	4	yes	—
716	C₃×C₄²	C₂²×D₃	1	4	yes	—
717	C₃×C₄²	C₂²×D₃	1	4	yes	—
718	C₃×C₄²	C₂²×D₃	1	4	yes	—
719	#217	—	3	4	no	—
720	#217	—	3	4	no	—
721	#217	—	3	4	no	—
722	#217	—	3	4	no	—
723	#217	—	3	4	no	—
724	#217	—	3	4	no	—
725	(C₂×D₃)⋊C₄	—	3	4	no	—
726	(C₂×D₃)⋊C₄	—	3	4	no	—
727	(C₂×D₃)⋊C₄	—	3	4	no	—
728	(C₂×D₃)⋊C₄	—	3	4	no	—
729	(C₂×D₃)⋊C₄	—	3	4	no	—
730	(C₂×D₃)⋊C₄	—	3	4	no	—
731	(C₂×D₃)⋊C₄	—	3	4	no	—
732	(C₂×D₃)⋊C₄	—	3	4	no	—
733	(C₂×D₃)⋊C₄	—	3	4	no	—
734	(C₂×D₃)⋊C₄	—	3	4	no	—
735	(C₂×D₃)⋊C₄	—	3	4	no	—
736	(C₂×D₃)⋊C₄	—	3	4	no	—
737	(C₂×D₃)⋊C₄	—	3	4	no	—
738	(C₂×D₃)⋊C₄	—	3	4	no	—
739	(C₂×D₃)⋊C₄	—	3	4	no	—
740	(C₂×D₃)⋊C₄	—	3	4	no	—
741	(C₂×D₃)⋊C₄	—	3	4	no	—
742	(C₂×D₃)⋊C₄	—	3	4	no	—
743	(C₂×D₃)⋊C₄	—	3	4	no	—
744	(C₂×D₃)⋊C₄	—	3	4	no	—
745	(C₂×D₃)⋊C₄	—	3	4	no	—
746	(C₂×D₃)⋊C₄	—	3	4	no	—
747	(C₂×D₃)⋊C₄	—	3	4	no	—
748	(C₂×D₃)⋊C₄	—	3	4	no	—
749	(C₂×D₃)⋊C₄	—	3	4	no	—
750	(C₂×D₃)⋊C₄	—	3	4	no	—
751	(C₂×D₃)⋊C₄	—	3	4	no	—
752	(C₂×D₃)⋊C₄	—	3	4	no	—
753	(C₂×D₃)⋊C₄	—	3	4	no	—
754	(C₂×D₃)⋊C₄	—	3	4	no	—
755	(C₂×D₃)⋊C₄	—	3	4	no	—
756	(C₂×D₃)⋊C₄	—	3	4	no	—
757	(C₂×D₃)⋊C₄	—	3	4	no	—
758	(C₂×D₃)⋊C₄	—	3	4	no	—
759	C₄⋊Dic₃	—	3	4	no	—
760	C₄⋊Dic₃	—	3	4	no	—
761	C₄⋊Dic₃	—	3	4	no	—
762	C₄⋊Dic₃	—	3	4	no	—
763	C₄⋊Dic₃	—	3	4	no	—
764	C₄⋊Dic₃	—	3	4	no	—
765	C₄⋊Dic₃	—	3	4	no	—
766	C₄⋊Dic₃	—	3	4	no	—
767	C₄⋊Dic₃	—	3	4	no	—
768	C₄⋊Dic₃	—	3	4	no	—
769	Dic₃⋊C₄	—	3	4	no	—
770	Dic₃⋊C₄	—	3	4	no	—
771	Dic₃⋊C₄	—	3	4	no	—
772	Dic₃⋊C₄	—	3	4	no	—
773	Dic₃⋊C₄	—	3	4	no	—
774	Dic₃⋊C₄	—	3	4	no	—
775	Dic₃⋊C₄	—	3	4	no	—
776	Dic₃⋊C₄	—	3	4	no	—
777	Dic₃⋊C₄	—	3	4	no	—
778	Dic₃⋊C₄	—	3	4	no	—
779	Dic₃⋊C₄	—	3	4	no	—
780	Dic₃⋊C₄	—	3	4	no	—
781	Dic₃⋊C₄	—	3	4	no	—
782	Dic₃⋊C₄	—	3	4	no	—
783	Dic₃⋊C₄	—	3	4	no	—
784	Dic₃⋊C₄	—	3	4	no	—
785	Dic₃⋊C₄	—	3	4	no	—
786	Dic₃⋊C₄	—	3	4	no	—
787	Dic₃⋊C₄	—	3	4	no	—
788	Dic₃⋊C₄	—	3	4	no	—
789	Dic₃⋊C₄	—	3	4	no	—
790	Dic₃⋊C₄	—	3	4	no	—
791	C₄×Dic₃	—	3	4	no	—
792	C₄×Dic₃	—	3	4	no	—
793	C₄×Dic₃	—	3	4	no	—
794	C₄×Dic₃	—	3	4	no	—
795	C₄×Dic₃	—	3	4	no	—
796	C₄×Dic₃	—	3	4	no	—
797	C₄×Dic₃	—	3	4	no	—
798	C₄×Dic₃	—	3	4	no	—
799	C₄×Dic₃	—	3	4	no	—
800	C₄×Dic₃	—	3	4	no	—
801	C₄×Dic₃	—	3	4	no	—
802	C₂²×C₃²	—	2	1	no	—
803	C₂²×C₃²	—	2	1	no	—
804	C₂²×C₃²	—	2	1	no	—
805	C₂²×C₃²	—	2	1	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	C₂×#41	1	2	yes	—
808	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
809	C₂×C₃⋊D₃	—	2	1	no	—
810	C₂×C₃⋊D₃	—	2	1	no	—
811	C₂×C₃⋊D₃	—	2	1	no	—
812	C₂×C₃⋊D₃	—	2	1	no	—
813	C₂×C₃⋊D₃	—	2	1	no	—
814	C₂×C₃⋊D₃	—	2	1	no	—
815	C₂×C₃⋊D₃	—	2	1	no	—
816	C₂×C₃⋊D₃	—	2	1	no	—
817	C₂×C₃⋊D₃	—	2	1	no	—
818	C₂×C₃⋊D₃	—	2	1	no	—
819	C₂×C₃⋊D₃	—	2	1	no	—
820	C₂×C₃⋊D₃	—	2	1	no	—
821	C₂×C₃⋊D₃	—	2	1	no	—
822	C₂×C₃⋊D₃	—	4	4	no	—
823	C₂×C₃⋊D₃	—	8	2	no	—
824	C₂×C₃⋊D₃	—	8	2	no	—
825	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
826	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	1	no	—
829	C₃²×C₄	—	2	1	no	—
830	C₃²×C₄	—	2	1	no	—
831	C₃²×C₄	—	2	1	no	—
832	C₃²×C₄	—	2	1	no	—
833	C₃²×C₄	—	2	1	no	—
834	C₃²×C₄	—	2	1	no	—
835	C₃²×C₄	—	2	1	no	—
836	C₃²×C₄	—	2	1	no	—
837	C₃²×C₄	—	2	1	no	—
838	C₃²×C₄	—	2	1	no	—
839	C₃²×C₄	—	2	1	no	—
840	C₃⋊Dic₃	—	2	1	no	—
841	C₃⋊Dic₃	—	2	1	no	—
842	C₃⋊Dic₃	—	2	1	no	—
843	C₃⋊Dic₃	—	2	1	no	—
844	C₃⋊Dic₃	—	2	1	no	—
845	C₃⋊Dic₃	—	2	1	no	—
846	C₃⋊Dic₃	—	2	1	no	—
847	C₃⋊Dic₃	—	2	1	no	—
848	C₃⋊Dic₃	—	2	1	no	—
849	C₃⋊Dic₃	—	2	1	no	—
850	C₃⋊Dic₃	—	2	1	no	—
851	C₂²×D₄	—	9	1	no	—
852	C₂²×D₄	—	9	1	no	—
853	C₂³×C₄	—	9	1	no	—
854	#126	—	9	1	no	—
855	#126	—	9	1	no	—
856	#126	—	9	1	no	—
857	#126	—	9	1	no	—
858	#126	—	9	1	no	—
859	#126	—	9	1	no	—
860	#126	—	9	1	no	—
861	#126	—	9	1	no	—
862	#126	—	9	1	no	—
863	#126	—	9	1	no	—
864	#126	—	9	1	no	—
865	#126	—	9	1	no	—
866	#126	—	9	1	no	—
867	#126	—	9	1	no	—
868	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
869	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
870	#125	—	9	1	no	—
871	#125	—	9	1	no	—
872	#125	—	9	1	no	—
873	#125	—	9	1	no	—
874	#125	—	9	1	no	—
875	#125	—	9	1	no	—
876	#125	—	9	1	no	—
877	#125	—	9	1	no	—
878	#125	—	9	1	no	—
879	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
880	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
881	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
882	#124	—	9	1	no	—
883	#124	—	9	1	no	—
884	#124	—	9	1	no	—
885	#124	—	9	1	no	—
886	#123	—	9	1	no	—
887	#123	—	9	1	no	—
888	#123	—	9	1	no	—
889	#123	—	9	1	no	—
890	#123	—	9	1	no	—
891	#123	—	9	1	no	—
892	#123	—	9	1	no	—
893	#123	—	9	1	no	—
894	#123	—	9	1	no	—
895	#123	—	9	1	no	—
896	#123	—	9	1	no	—
897	#123	—	9	1	no	—
898	#123	—	9	1	no	—
899	#123	—	9	1	no	—
900	#123	—	9	1	no	—
901	#123	—	9	1	no	—
902	#123	—	9	1	no	—
903	#123	—	9	1	no	—
904	#123	—	9	1	no	—
905	#123	—	9	1	no	—
906	#123	—	9	1	no	—
907	#123	—	9	1	no	—
908	#123	—	9	1	no	—
909	#123	—	9	1	no	—
910	#123	—	9	1	no	—
911	#123	—	9	1	no	—
912	#123	C₂×C₃⋊D₃	1	1	yes	characteristic
913	#123	C₂×C₃⋊D₃	1	1	yes	characteristic
914	C₂²⋊Q₈	—	9	1	no	—
915	C₂²⋊Q₈	—	9	1	no	—
916	C₂²⋊Q₈	—	9	1	no	—
917	C₂²⋊Q₈	—	9	1	no	—
918	C₂²⋊Q₈	—	9	1	no	—
919	C₂²⋊Q₈	—	9	1	no	—
920	C₂²⋊Q₈	—	9	1	no	—
921	C₂²⋊Q₈	—	9	1	no	—
922	C₂²⋊Q₈	—	9	1	no	—
923	C₂²⋊Q₈	—	9	1	no	—
924	C₂²⋊Q₈	—	9	1	no	—
925	C₂²⋊Q₈	—	9	1	no	—
926	C₂²⋊Q₈	—	9	1	no	—
927	C₂²⋊Q₈	—	9	1	no	—
928	C₂²⋊Q₈	—	9	1	no	—
929	C₂²⋊Q₈	—	9	1	no	—
930	C₂²⋊Q₈	—	9	1	no	—
931	C₂²⋊Q₈	—	9	1	no	—
932	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
933	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
934	#121	—	9	1	no	—
935	#121	—	9	1	no	—
936	#121	—	9	1	no	—
937	#121	—	9	1	no	—
938	#120	—	9	1	no	—
939	#120	—	9	1	no	—
940	#120	—	9	1	no	—
941	#120	—	9	1	no	—
942	C₄×Q₈	—	9	1	no	—
943	C₄×Q₈	—	9	1	no	—
944	C₄×Q₈	—	9	1	no	—
945	C₄×Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
946	C₄×D₄	—	9	1	no	—
947	C₄×D₄	—	9	1	no	—
948	C₄×D₄	—	9	1	no	—
949	C₄×D₄	—	9	1	no	—
950	C₄×D₄	—	9	1	no	—
951	C₄×D₄	—	9	1	no	—
952	C₄×D₄	—	9	1	no	—
953	C₄×D₄	—	9	1	no	—
954	C₄×D₄	—	9	1	no	—
955	C₄×D₄	—	9	1	no	—
956	C₄×D₄	—	9	1	no	—
957	C₄×D₄	—	9	1	no	—
958	C₄×D₄	—	9	1	no	—
959	C₄×D₄	—	9	1	no	—
960	C₄×D₄	—	9	1	no	—
961	C₄×D₄	—	9	1	no	—
962	C₄×D₄	—	9	1	no	—
963	C₄×D₄	—	9	1	no	—
964	C₄×D₄	—	9	1	no	—
965	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic
966	#117	—	9	1	no	—
967	#117	—	9	1	no	—
968	#117	—	9	1	no	—
969	#117	—	9	1	no	—
970	#117	—	9	1	no	—
971	#117	—	9	1	no	—
972	#117	—	9	1	no	—
973	#117	—	9	1	no	—
974	#117	—	9	1	no	—
975	#117	—	9	1	no	—
976	#117	—	9	1	no	—
977	#117	—	9	1	no	—
978	#117	—	9	1	no	—
979	#117	—	9	1	no	—
980	#117	—	9	1	no	—
981	#117	—	9	1	no	—
982	#117	—	9	1	no	—
983	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
984	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
985	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
986	C₂×C₄⋊C₄	—	9	1	no	—
987	C₂×C₄⋊C₄	—	9	1	no	—
988	C₂×C₄⋊C₄	—	9	1	no	—
989	C₂×C₄⋊C₄	—	9	1	no	—
990	C₂×C₄⋊C₄	—	9	1	no	—
991	C₂×C₄⋊C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
992	C₂×C₂²⋊C₄	—	9	1	no	—
993	C₂×C₂²⋊C₄	—	9	1	no	—
994	C₂×C₂²⋊C₄	—	9	1	no	—
995	C₂×C₂²⋊C₄	—	9	1	no	—
996	C₂×C₂²⋊C₄	—	9	1	no	—
997	C₂×C₂²⋊C₄	—	9	1	no	—
998	C₂×C₂²⋊C₄	—	9	1	no	—
999	C₂×C₂²⋊C₄	—	9	1	no	—
1000	C₂×C₂²⋊C₄	—	9	1	no	—
1001	C₂×C₂²⋊C₄	—	9	1	no	—
1002	C₂×C₂²⋊C₄	—	9	1	no	—
1003	C₂×C₂²⋊C₄	—	9	1	no	—
1004	C₂×C₄²	—	9	1	no	—
1005	C₂×C₄²	—	9	1	no	—
1006	C₂³×C₃	C₂³×D₃	1	4	yes	—
1007	C₂³×C₃	C₂³×D₃	1	4	yes	—
1008	C₂²×D₃	—	3	4	no	—
1009	C₂²×D₃	—	3	4	no	—
1010	C₂²×D₃	—	3	16	no	—
1011	C₂²×D₃	—	3	4	no	—
1012	C₂²×D₃	—	3	4	no	—
1013	C₂²×D₃	—	3	4	no	—
1014	C₂²×D₃	—	6	8	no	—
1015	C₂²×D₃	—	6	8	no	—
1016	C₂²×D₃	—	12	4	no	—
1017	C₂²×D₃	—	12	4	no	—
1018	C₂²×D₃	—	12	4	no	—
1019	C₂²×D₃	—	12	4	no	—
1020	C₂²×D₃	—	12	4	no	—
1021	C₂²×D₃	—	12	4	no	—
1022	C₃×Q₈	—	4	4	no	—
1023	C₃×D₄	—	2	8	no	—
1024	C₂×C₃×C₄	—	2	8	no	—
1025	C₂×C₃×C₄	—	2	8	no	—
1026	C₂×C₃×C₄	—	4	4	no	—
1027	C₂×C₃×C₄	—	4	4	no	—
1028	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1029	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1030	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1031	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1032	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1033	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1034	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1035	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1036	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1037	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1038	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1039	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1040	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1041	#67	—	6	8	no	—
1042	#67	—	6	8	no	—
1043	#67	—	12	4	no	—
1044	#67	—	12	4	no	—
1045	C₂×Dic₃	—	3	4	no	—
1046	C₂×Dic₃	—	3	4	no	—
1047	C₂×Dic₃	—	3	4	no	—
1048	C₂×Dic₃	—	3	4	no	—
1049	C₂×Dic₃	—	3	4	no	—
1050	C₂×Dic₃	—	3	4	no	—
1051	C₂×Dic₃	—	3	4	no	—
1052	C₂×Dic₃	—	3	4	no	—
1053	C₂×Dic₃	—	3	4	no	—
1054	C₂×Dic₃	—	3	4	no	—
1055	C₂×Dic₃	—	3	4	no	—
1056	C₂×Dic₃	—	6	8	no	—
1057	C₂×Dic₃	—	12	4	no	—
1058	C₂×Dic₃	—	12	4	no	—
1059	D₁₂	—	6	8	no	—
1060	D₁₂	—	6	8	no	—
1061	D₁₂	—	6	8	no	—
1062	D₁₂	—	6	8	no	—
1063	D₁₂	—	6	8	no	—
1064	D₁₂	—	12	4	no	—
1065	D₁₂	—	12	4	no	—
1066	C₄×D₃	—	6	8	no	—
1067	C₄×D₃	—	6	8	no	—
1068	C₄×D₃	—	6	8	no	—
1069	C₄×D₃	—	6	8	no	—
1070	C₄×D₃	—	6	8	no	—
1071	C₄×D₃	—	12	4	no	—
1072	C₄×D₃	—	12	4	no	—
1073	C₄×D₃	—	12	4	no	—
1074	C₄×D₃	—	12	4	no	—
1075	C₄×D₃	—	12	4	no	—
1076	C₄×D₃	—	12	4	no	—
1077	C₄×D₃	—	12	4	no	—
1078	C₄×D₃	—	12	4	no	—
1079	C₄×D₃	—	12	4	no	—
1080	C₄×D₃	—	12	4	no	—
1081	C₄×D₃	—	12	4	no	—
1082	C₄×D₃	—	12	4	no	—
1083	Dic₆	—	12	4	no	—
1084	Dic₆	—	12	4	no	—
1085	Dic₆	—	12	4	no	—
1086	C₂×C₃²	—	2	2	no	—
1087	C₂×C₃²	—	4	1	no	—
1088	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1089	C₂×C₃²	#585	1	1	yes	characteristic
1090	C₂×C₃²	#585	1	1	yes	characteristic
1091	C₃⋊D₃	—	2	2	no	—
1092	C₃⋊D₃	—	2	2	no	—
1093	C₃⋊D₃	—	4	1	no	—
1094	C₃⋊D₃	—	4	1	no	—
1095	C₃⋊D₃	—	4	1	no	—
1096	C₂⁴	—	9	1	no	—
1097	C₂⁴	—	9	1	no	—
1098	C₂⁴	—	9	1	no	—
1099	C₂×Q₈	—	9	1	no	—
1100	C₂×Q₈	—	9	1	no	—
1101	C₂×Q₈	—	9	1	no	—
1102	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1103	C₂×D₄	—	9	1	no	—
1104	C₂×D₄	—	9	1	no	—
1105	C₂×D₄	—	9	1	no	—
1106	C₂×D₄	—	9	1	no	—
1107	C₂×D₄	—	9	1	no	—
1108	C₂×D₄	—	9	1	no	—
1109	C₂×D₄	—	9	1	no	—
1110	C₂×D₄	—	9	1	no	—
1111	C₂×D₄	—	9	1	no	—
1112	C₂×D₄	—	9	1	no	—
1113	C₂×D₄	—	9	1	no	—
1114	C₂×D₄	—	18	4	no	—
1115	C₂×D₄	—	18	4	no	—
1116	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1117	C₂²×C₄	—	9	1	no	—
1118	C₂²×C₄	—	9	1	no	—
1119	C₂²×C₄	—	9	1	no	—
1120	C₂²×C₄	—	9	1	no	—
1121	C₂²×C₄	—	9	1	no	—
1122	C₂²×C₄	—	9	1	no	—
1123	C₂²×C₄	—	9	1	no	—
1124	C₂²×C₄	—	9	1	no	—
1125	C₂²×C₄	—	9	1	no	—
1126	C₂²×C₄	—	9	1	no	—
1127	C₂²×C₄	—	9	1	no	—
1128	C₂²×C₄	—	9	1	no	—
1129	C₂²×C₄	—	9	1	no	—
1130	C₂²×C₄	—	9	1	no	—
1131	C₂²×C₄	—	9	1	no	—
1132	C₂²×C₄	—	9	1	no	—
1133	C₂²×C₄	—	9	1	no	—
1134	C₂²×C₄	—	9	1	no	—
1135	C₂²×C₄	—	9	1	no	—
1136	C₂²×C₄	—	9	1	no	—
1137	C₂²×C₄	—	18	4	no	—
1138	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1142	C₄⋊C₄	—	9	1	no	—
1143	C₄⋊C₄	—	9	1	no	—
1144	C₄⋊C₄	—	9	1	no	—
1145	C₄⋊C₄	—	9	1	no	—
1146	C₄⋊C₄	—	9	1	no	—
1147	C₄⋊C₄	—	9	1	no	—
1148	C₄⋊C₄	—	9	1	no	—
1149	C₄⋊C₄	—	9	1	no	—
1150	C₄⋊C₄	—	9	1	no	—
1151	C₄⋊C₄	—	9	1	no	—
1152	C₄⋊C₄	—	9	1	no	—
1153	C₄⋊C₄	—	9	1	no	—
1154	C₄⋊C₄	—	9	1	no	—
1155	C₄⋊C₄	—	9	1	no	—
1156	C₄⋊C₄	—	9	1	no	—
1157	C₄⋊C₄	—	9	1	no	—
1158	C₄⋊C₄	—	9	1	no	—
1159	C₄⋊C₄	—	9	1	no	—
1160	C₄⋊C₄	—	9	1	no	—
1161	C₄⋊C₄	—	9	1	no	—
1162	C₄⋊C₄	—	9	1	no	—
1163	C₄⋊C₄	—	9	1	no	—
1164	C₄⋊C₄	—	9	1	no	—
1165	C₄⋊C₄	—	9	1	no	—
1166	C₄⋊C₄	—	9	1	no	—
1167	C₄⋊C₄	—	9	1	no	—
1168	C₄⋊C₄	—	9	1	no	—
1169	C₄⋊C₄	—	9	1	no	—
1170	C₄⋊C₄	—	9	1	no	—
1171	C₄⋊C₄	—	9	1	no	—
1172	C₄⋊C₄	—	9	1	no	—
1173	C₄⋊C₄	—	9	1	no	—
1174	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1175	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1176	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1177	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1178	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1179	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1180	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1181	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1182	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1183	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1185	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1186	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1187	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1188	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1189	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1190	C₂²⋊C₄	—	9	1	no	—
1191	C₂²⋊C₄	—	9	1	no	—
1192	C₂²⋊C₄	—	9	1	no	—
1193	C₂²⋊C₄	—	9	1	no	—
1194	C₂²⋊C₄	—	9	1	no	—
1195	C₂²⋊C₄	—	9	1	no	—
1196	C₂²⋊C₄	—	9	1	no	—
1197	C₂²⋊C₄	—	9	1	no	—
1198	C₂²⋊C₄	—	9	1	no	—
1199	C₂²⋊C₄	—	9	1	no	—
1200	C₂²⋊C₄	—	9	1	no	—
1201	C₂²⋊C₄	—	9	1	no	—
1202	C₂²⋊C₄	—	9	1	no	—
1203	C₂²⋊C₄	—	9	1	no	—
1204	C₂²⋊C₄	—	9	1	no	—
1205	C₂²⋊C₄	—	9	1	no	—
1206	C₂²⋊C₄	—	9	1	no	—
1207	C₂²⋊C₄	—	9	1	no	—
1208	C₂²⋊C₄	—	9	1	no	—
1209	C₂²⋊C₄	—	9	1	no	—
1210	C₂²⋊C₄	—	9	1	no	—
1211	C₂²⋊C₄	—	9	1	no	—
1212	C₂²⋊C₄	—	9	1	no	—
1213	C₂²⋊C₄	—	9	1	no	—
1214	C₂²⋊C₄	—	9	1	no	—
1215	C₂²⋊C₄	—	9	1	no	—
1216	C₂²⋊C₄	—	9	1	no	—
1217	C₂²⋊C₄	—	9	1	no	—
1218	C₂²⋊C₄	—	9	1	no	—
1219	C₂²⋊C₄	—	9	1	no	—
1220	C₂²⋊C₄	—	9	1	no	—
1221	C₂²⋊C₄	—	9	1	no	—
1222	C₂²⋊C₄	—	9	1	no	—
1223	C₂²⋊C₄	—	9	1	no	—
1224	C₂²⋊C₄	—	9	1	no	—
1225	C₂²⋊C₄	—	9	1	no	—
1226	C₂²⋊C₄	—	9	1	no	—
1227	C₂²⋊C₄	—	9	1	no	—
1228	C₂²⋊C₄	—	9	1	no	—
1229	C₂²⋊C₄	—	9	1	no	—
1230	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1234	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1235	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1236	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1237	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1238	C₄²	—	9	1	no	—
1239	C₄²	—	9	1	no	—
1240	C₄²	—	9	1	no	—
1241	C₄²	—	9	1	no	—
1242	C₄²	—	9	1	no	—
1243	C₄²	—	9	1	no	—
1244	C₄²	—	9	1	no	—
1245	C₄²	—	9	1	no	—
1246	C₄²	—	9	1	no	—
1247	C₄²	—	9	1	no	—
1248	C₄²	—	9	1	no	—
1249	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1250	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1251	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1252	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1253	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1254	C₂²×C₃	—	2	4	no	—
1255	C₂²×C₃	—	2	4	no	—
1256	C₂²×C₃	—	2	4	no	—
1257	C₂²×C₃	—	2	4	no	—
1258	C₂²×C₃	—	2	4	no	—
1259	C₂²×C₃	D₃×#41	1	8	yes	—
1260	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1261	C₂×D₃	—	3	8	no	—
1262	C₂×D₃	—	3	8	no	—
1263	C₂×D₃	—	6	4	no	—
1264	C₂×D₃	—	6	4	no	—
1265	C₂×D₃	—	6	4	no	—
1266	C₂×D₃	—	6	4	no	—
1267	C₂×D₃	—	6	4	no	—
1268	C₂×D₃	—	6	4	no	—
1269	C₂×D₃	—	6	4	no	—
1270	C₂×D₃	—	6	4	no	—
1271	C₂×D₃	—	6	4	no	—
1272	C₂×D₃	—	6	4	no	—
1273	C₂×D₃	—	6	4	no	—
1274	C₂×D₃	—	6	4	no	—
1275	C₂×D₃	—	6	4	no	—
1276	C₂×D₃	—	12	16	no	—
1277	C₂×D₃	—	24	8	no	—
1278	C₂×D₃	—	24	8	no	—
1279	C₃×C₄	—	2	4	no	—
1280	C₃×C₄	—	2	4	no	—
1281	C₃×C₄	—	2	4	no	—
1282	C₃×C₄	—	2	4	no	—
1283	C₃×C₄	—	2	4	no	—
1284	C₃×C₄	—	2	4	no	—
1285	C₃×C₄	—	2	4	no	—
1286	C₃×C₄	—	2	4	no	—
1287	C₃×C₄	—	2	4	no	—
1288	C₃×C₄	—	2	4	no	—
1289	C₃×C₄	—	2	4	no	—
1290	C₃×C₄	—	2	4	no	—
1291	C₃×C₄	—	2	4	no	—
1292	Dic₃	—	6	4	no	—
1293	Dic₃	—	6	4	no	—
1294	Dic₃	—	6	4	no	—
1295	Dic₃	—	6	4	no	—
1296	Dic₃	—	6	4	no	—
1297	Dic₃	—	6	4	no	—
1298	Dic₃	—	6	4	no	—
1299	Dic₃	—	6	4	no	—
1300	Dic₃	—	6	4	no	—
1301	Dic₃	—	6	4	no	—
1302	Dic₃	—	6	4	no	—
1303	C₃²	#3491	1	1	yes	characteristic, complemented, Sylow
1304	C₂³	—	9	1	no	—
1305	C₂³	—	9	1	no	—
1306	C₂³	—	9	4	no	—
1307	C₂³	—	9	1	no	—
1308	C₂³	—	9	1	no	—
1309	C₂³	—	9	1	no	—
1310	C₂³	—	18	2	no	—
1311	C₂³	—	18	2	no	—
1312	C₂³	—	36	1	no	—
1313	C₂³	—	36	1	no	—
1314	C₂³	—	36	1	no	—
1315	C₂³	—	36	1	no	—
1316	C₂³	—	36	1	no	—
1317	C₂³	—	36	1	no	—
1318	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1319	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1320	Q₈	—	4	1	no	—
1321	Q₈	—	36	1	no	—
1322	Q₈	—	36	1	no	—
1323	Q₈	—	36	1	no	—
1324	D₄	—	2	2	no	—
1325	D₄	—	18	2	no	—
1326	D₄	—	18	2	no	—
1327	D₄	—	18	2	no	—
1328	D₄	—	18	2	no	—
1329	D₄	—	18	2	no	—
1330	D₄	—	18	2	no	—
1331	D₄	—	18	2	no	—
1332	D₄	—	36	1	no	—
1333	D₄	—	36	1	no	—
1334	D₄	—	36	1	no	—
1335	D₄	—	36	1	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	4	1	no	—
1339	C₂×C₄	—	4	1	no	—
1340	C₂×C₄	—	9	1	no	—
1341	C₂×C₄	—	9	1	no	—
1342	C₂×C₄	—	9	1	no	—
1343	C₂×C₄	—	9	1	no	—
1344	C₂×C₄	—	9	1	no	—
1345	C₂×C₄	—	9	1	no	—
1346	C₂×C₄	—	9	1	no	—
1347	C₂×C₄	—	9	1	no	—
1348	C₂×C₄	—	9	1	no	—
1349	C₂×C₄	—	9	1	no	—
1350	C₂×C₄	—	9	1	no	—
1351	C₂×C₄	—	18	2	no	—
1352	C₂×C₄	—	18	2	no	—
1353	C₂×C₄	—	18	2	no	—
1354	C₂×C₄	—	18	2	no	—
1355	C₂×C₄	—	18	2	no	—
1356	C₂×C₄	—	18	2	no	—
1357	C₂×C₄	—	36	1	no	—
1358	C₂×C₄	—	36	1	no	—
1359	C₂×C₄	—	36	1	no	—
1360	C₂×C₄	—	36	1	no	—
1361	C₂×C₄	—	36	1	no	—
1362	C₂×C₄	—	36	1	no	—
1363	C₂×C₄	—	36	1	no	—
1364	C₂×C₄	—	36	1	no	—
1365	C₂×C₄	—	36	1	no	—
1366	C₂×C₄	—	36	1	no	—
1367	C₂×C₄	—	36	1	no	—
1368	C₂×C₄	—	36	1	no	—
1369	C₂×C₄	—	36	1	no	—
1370	C₂×C₄	—	36	1	no	—
1371	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1372	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1373	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1374	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1375	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1376	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1377	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1378	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1379	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1380	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1381	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1382	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1383	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1384	C₂×C₃	—	2	8	no	—
1385	C₂×C₃	—	4	4	no	—
1386	C₂×C₃	C₂×D₃×#41	1	4	yes	—
1387	C₂×C₃	#5964	1	4	yes	—
1388	C₂×C₃	#5968	1	4	yes	—
1389	D₃	—	6	8	no	—
1390	D₃	—	6	8	no	—
1391	D₃	—	12	4	no	—
1392	D₃	—	12	4	no	—
1393	D₃	—	12	4	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	2	1	no	—
1399	C₂²	—	9	2	no	—
1400	C₂²	—	9	2	no	—
1401	C₂²	—	18	1	no	—
1402	C₂²	—	18	1	no	—
1403	C₂²	—	18	1	no	—
1404	C₂²	—	18	1	no	—
1405	C₂²	—	18	1	no	—
1406	C₂²	—	18	1	no	—
1407	C₂²	—	18	1	no	—
1408	C₂²	—	18	1	no	—
1409	C₂²	—	18	1	no	—
1410	C₂²	—	18	1	no	—
1411	C₂²	—	18	1	no	—
1412	C₂²	—	18	1	no	—
1413	C₂²	—	18	1	no	—
1414	C₂²	—	36	4	no	—
1415	C₂²	—	72	2	no	—
1416	C₂²	—	72	2	no	—
1417	C₂²	#41×C₃⋊D₃	1	2	yes	—
1418	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1419	C₄	—	2	1	no	—
1420	C₄	—	2	1	no	—
1421	C₄	—	2	1	no	—
1422	C₄	—	2	1	no	—
1423	C₄	—	2	1	no	—
1424	C₄	—	2	1	no	—
1425	C₄	—	2	1	no	—
1426	C₄	—	2	1	no	—
1427	C₄	—	2	1	no	—
1428	C₄	—	2	1	no	—
1429	C₄	—	2	1	no	—
1430	C₄	—	2	1	no	—
1431	C₄	—	2	1	no	—
1432	C₄	—	18	1	no	—
1433	C₄	—	18	1	no	—
1434	C₄	—	18	1	no	—
1435	C₄	—	18	1	no	—
1436	C₄	—	18	1	no	—
1437	C₄	—	18	1	no	—
1438	C₄	—	18	1	no	—
1439	C₄	—	18	1	no	—
1440	C₄	—	18	1	no	—
1441	C₄	—	18	1	no	—
1442	C₄	—	18	1	no	—
1443	C₃	#86859	1	4	yes	complemented
1444	C₂	—	2	2	no	—
1445	C₂	—	4	1	no	—
1446	C₂	—	18	2	no	—
1447	C₂	—	18	2	no	—
1448	C₂	—	36	1	no	—
1449	C₂	—	36	1	no	—
1450	C₂	—	36	1	no	—
1451	C₂	C₂×#41×C₃⋊D₃	1	1	yes	characteristic
1452	C₂	#10596756	1	1	yes	characteristic
1453	C₂	#10596760	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#552	C₂
prime radical	#10596124	C₂
hypercenter	#552	C₃⋊D₃
hypocenter	C₃²	#3491
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. C₃²×#552	C₂	semidirect
2. #10596178	C₂	semidirect
3. #10596177	C₂	semidirect
4. #10596176	C₂	semidirect
5. #10596176	C₂	semidirect
6. #10596165	C₂	semidirect
7. #10596164	C₂	semidirect
8. #10596164	C₂	semidirect
9. #10596163	C₂	semidirect
10. #10596163	C₂	semidirect
11. #10596162	C₂	semidirect
12. #10596129	C₂	semidirect
14. C₃⋊D₃×#123	C₂	semidirect
15. #10596121	C₂	semidirect
16. #10596109	C₂	semidirect
17. #10596108	C₂	semidirect
18. #10596108	C₂	semidirect
19. #10596105	C₂	semidirect
20. #10596052	C₂	semidirect
21. #10596051	C₂	semidirect
22. #10596027	C₂	semidirect
23. #10596016	C₂	semidirect
24. #10596002	C₂	semidirect
25. #10595999	C₂	semidirect
26. #10595998	C₂	semidirect
27. #10595998	C₂	semidirect
28. #10595992	C₂	semidirect
29. C₃⋊D₃×#117	C₂	semidirect
30. #10595984	C₂	semidirect
31. C₂×#64103	C₂	semidirect
36. C₃²×#126	C₂²	semidirect
37. C₃²×#126	C₂²	semidirect
38. C₃²×#125	C₂²	semidirect
39. C₃²×#125	C₂²	semidirect
40. C₃²×#125	C₂²	semidirect
43. C₃²×C₂²⋊Q₈	C₂²	semidirect
44. C₃²×C₂²⋊Q₈	C₂²	semidirect
45. C₃²×C₄×Q₈	C₂²	semidirect
47. C₃²×#117	C₂²	semidirect
48. C₃²×#117	C₂²	semidirect
49. C₃²×#117	C₂²	semidirect
50. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
51. #64156	C₂²	semidirect
52. #64155	C₂²	semidirect
53. #64155	C₂²	semidirect
54. #64155	C₂²	semidirect
60. #64138	C₂²	semidirect
62. C₄×#638	C₂²	semidirect
63. C₄×#638	C₂²	semidirect
65. C₂×#3752	C₂²	semidirect
66. C₂×#3752	C₂²	semidirect
67. C₂×#3752	C₂²	semidirect
68. #64135	C₂²	semidirect
69. #64135	C₂²	semidirect
70. #64133	C₂²	semidirect
71. C₂×#3750	C₂²	semidirect
72. #64107	C₂²	semidirect
73. #64107	C₂²	semidirect
74. #64107	C₂²	semidirect
75. #64107	C₂²	semidirect
76. #64107	C₂²	semidirect
77. #64107	C₂²	semidirect
78. #64107	C₂²	semidirect
79. #64107	C₂²	semidirect
80. #64107	C₂²	semidirect
81. #64106	C₂²	semidirect
82. #64106	C₂²	semidirect
83. #64106	C₂²	semidirect
84. #64106	C₂²	semidirect
85. #64105	C₂²	semidirect
86. #64105	C₂²	semidirect
87. #64105	C₂²	semidirect
88. #64105	C₂²	semidirect
89. #64105	C₂²	semidirect
90. #64105	C₂²	semidirect
91. #64105	C₂²	semidirect
100. #64103	C₂²	semidirect
101. #64103	C₂²	semidirect
102. #64103	C₂²	semidirect
103. #64103	C₂²	semidirect
104. #64103	C₂²	semidirect
105. #64103	C₂²	semidirect
106. #64103	C₂²	semidirect
107. #64103	C₂²	semidirect
108. #64103	C₂²	semidirect
109. #64103	C₂²	semidirect
112. #64102	C₂²	semidirect
113. #64102	C₂²	semidirect
114. #64102	C₂²	semidirect
115. #64102	C₂²	semidirect
116. #64101	C₂²	semidirect
117. #64101	C₂²	semidirect
118. #64101	C₂²	semidirect
119. #64101	C₂²	semidirect
120. #64101	C₂²	semidirect
121. #64101	C₂²	semidirect
122. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
123. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
124. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
125. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
126. #64099	C₂²	semidirect
127. #64099	C₂²	semidirect
128. #64098	C₂²	semidirect
129. #64098	C₂²	semidirect
130. #64098	C₂²	semidirect
131. #64098	C₂²	semidirect
132. #64098	C₂²	semidirect
133. #64098	C₂²	semidirect
134. #64096	C₂²	semidirect
135. #64096	C₂²	semidirect
137. #64095	C₂²	semidirect
138. #64094	C₂²	semidirect
139. #64094	C₂²	semidirect
142. #64092	C₂²	semidirect
143. #64092	C₂²	semidirect
144. #64092	C₂²	semidirect
145. #64092	C₂²	semidirect
150. #64090	C₂²	semidirect
151. #64090	C₂²	semidirect
155. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
156. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
157. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
158. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
159. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
160. #64088	C₂²	semidirect
161. #64088	C₂²	semidirect
162. #64087	C₂²	semidirect
163. #64087	C₂²	semidirect
164. #64087	C₂²	semidirect
165. #64086	C₂²	semidirect
166. #64086	C₂²	semidirect
167. #64086	C₂²	semidirect
168. #64085	C₂²	semidirect
169. #64085	C₂²	semidirect
170. #64085	C₂²	semidirect
171. #64084	C₂²	semidirect
174. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
175. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
176. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
177. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
178. #64081	C₂²	semidirect
179. #64081	C₂²	semidirect
180. #64081	C₂²	semidirect
181. #64081	C₂²	semidirect
182. #64081	C₂²	semidirect
183. #64081	C₂²	semidirect
184. C₄²×C₃⋊D₃	C₂²	semidirect
185. C₄²×C₃⋊D₃	C₂²	semidirect
186. #64079	C₂²	semidirect
187. C₄×#634	C₂²	semidirect
188. C₃×#552	D₃	semidirect
381. C₃×#126	C₂×D₃	semidirect
382. C₃×#126	C₂×D₃	semidirect
383. C₃×#125	C₂×D₃	semidirect
384. C₃×#125	C₂×D₃	semidirect
385. C₃×#125	C₂×D₃	semidirect
388. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
389. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
390. C₃×C₄×Q₈	C₂×D₃	semidirect
392. C₃×#117	C₂×D₃	semidirect
393. C₃×#117	C₂×D₃	semidirect
394. C₃×#117	C₂×D₃	semidirect
395. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
620. #552	C₃⋊D₃	semidirect
868. #126	C₂×C₃⋊D₃	semidirect
869. #126	C₂×C₃⋊D₃	semidirect
879. #125	C₂×C₃⋊D₃	semidirect
880. #125	C₂×C₃⋊D₃	semidirect
881. #125	C₂×C₃⋊D₃	semidirect
932. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
933. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
945. C₄×Q₈	C₂×C₃⋊D₃	semidirect
983. #117	C₂×C₃⋊D₃	semidirect
984. #117	C₂×C₃⋊D₃	semidirect
985. #117	C₂×C₃⋊D₃	semidirect
991. C₂×C₄⋊C₄	C₂×C₃⋊D₃	semidirect
1303. C₃²	#3491	semidirect
1443. C₃	#86859	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#552	2
#10596178	2
#10596177	2
#10596176	2
#10596165	2
#10596164	2
#10596163	2
#10596162	2
#10596129	2
#10596124	2
C₃⋊D₃×#123	2
#10596121	2
#10596109	2
#10596108	2
#10596105	2
#10596052	2
#10596051	2
#10596027	2
#10596016	2
#10596002	2
#10595999	2
#10595998	2
#10595992	2
C₃⋊D₃×#117	2
#10595984	2
C₂×#64103	2
#86859	3