Subgroups — #11910620

Order 1152.

3180 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596206	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596197	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596182	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596179	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596178	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596155	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596147	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596145	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596140	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596134	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596132	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596125	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃⋊D₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596118	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596109	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596102	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596098	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596086	C₂	1	1	yes	maximal, characteristic, complemented
25	#10596076	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596056	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596052	C₂	1	1	yes	maximal, characteristic, complemented
28	#10596031	C₂	1	1	yes	maximal, characteristic, complemented
29	#10596018	C₂	1	1	yes	maximal, characteristic, complemented
30	#10596001	C₂	1	1	yes	maximal, characteristic, complemented
31	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
32	#86559	—	3	4	no	maximal
33	C₂×#3832	C₂²	1	1	yes	characteristic
34	C₂×#3832	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
36	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
37	C₂×#3828	C₂²	1	1	yes	characteristic
38	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
39	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
43	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
44	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
45	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
47	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#121	C₂²	1	1	yes	characteristic
51	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
54	#64156	C₂²	1	1	yes	characteristic
55	#64156	C₂²	1	1	yes	characteristic, complemented
56	#64156	C₂²	1	1	yes	characteristic, complemented
57	#64155	C₂²	1	1	yes	characteristic, complemented
58	#64155	C₂²	1	1	yes	characteristic, complemented
59	#64155	C₂²	1	1	yes	characteristic, complemented
60	#64155	C₂²	1	1	yes	characteristic, complemented
61	#64155	C₂²	1	1	yes	characteristic, complemented
62	#64155	C₂²	1	1	yes	characteristic, complemented
63	#64153	C₂²	1	1	yes	characteristic, complemented
64	#64149	C₂²	1	1	yes	characteristic, complemented
65	#64148	C₂²	1	1	yes	characteristic
66	#64148	C₂²	1	1	yes	characteristic
67	#64148	C₂²	1	1	yes	characteristic, complemented
68	#64148	C₂²	1	1	yes	characteristic, complemented
69	#64148	C₂²	1	1	yes	characteristic, complemented
70	#64147	C₂²	1	1	yes	characteristic, complemented
71	#64146	C₂²	1	1	yes	characteristic
72	#64146	C₂²	1	1	yes	characteristic
73	#64144	C₂²	1	1	yes	characteristic, complemented
74	#64139	C₂²	1	1	yes	characteristic
75	#64139	C₂²	1	1	yes	characteristic, complemented
76	#64138	C₂²	1	1	yes	characteristic
77	#64138	C₂²	1	1	yes	characteristic, complemented
78	C₄×#638	C₂²	1	1	yes	characteristic, complemented
79	C₄×#638	C₂²	1	1	yes	characteristic, complemented
80	C₄×#638	C₂²	1	1	yes	characteristic, complemented
81	C₄×#638	C₂²	1	1	yes	characteristic, complemented
82	C₂×#3752	C₂²	1	1	yes	characteristic
83	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
84	#64107	C₂²	1	1	yes	characteristic, complemented
85	#64107	C₂²	1	1	yes	characteristic, complemented
86	#64107	C₂²	1	1	yes	characteristic, complemented
87	#64107	C₂²	1	1	yes	characteristic, complemented
88	#64106	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, complemented
94	#64104	C₂²	1	1	yes	characteristic, complemented
95	#64104	C₂²	1	1	yes	characteristic, complemented
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
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	#64102	C₂²	1	1	yes	characteristic, complemented
110	#64102	C₂²	1	1	yes	characteristic, complemented
111	#64102	C₂²	1	1	yes	characteristic, complemented
112	#64102	C₂²	1	1	yes	characteristic, complemented
113	#64101	C₂²	1	1	yes	characteristic, complemented
114	#64101	C₂²	1	1	yes	characteristic, complemented
115	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
116	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
117	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
118	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
119	#64099	C₂²	1	1	yes	characteristic, complemented
120	#64098	C₂²	1	1	yes	characteristic, complemented
121	#64098	C₂²	1	1	yes	characteristic, complemented
122	#64098	C₂²	1	1	yes	characteristic, complemented
123	#64098	C₂²	1	1	yes	characteristic, complemented
124	#64095	C₂²	1	1	yes	characteristic
125	#64095	C₂²	1	1	yes	characteristic, complemented
126	#64095	C₂²	1	1	yes	characteristic, complemented
127	#64094	C₂²	1	1	yes	characteristic, complemented
128	#64094	C₂²	1	1	yes	characteristic, complemented
129	#64093	C₂²	1	1	yes	characteristic
130	#64093	C₂²	1	1	yes	characteristic
131	#64093	C₂²	1	1	yes	characteristic
132	#64093	C₂²	1	1	yes	characteristic, complemented
133	#64093	C₂²	1	1	yes	characteristic, complemented
134	#64093	C₂²	1	1	yes	characteristic, complemented
135	#64093	C₂²	1	1	yes	characteristic, complemented
136	#64093	C₂²	1	1	yes	characteristic, complemented
137	#64093	C₂²	1	1	yes	characteristic, complemented
138	#64093	C₂²	1	1	yes	characteristic, complemented
139	#64093	C₂²	1	1	yes	characteristic, complemented
140	#64092	C₂²	1	1	yes	characteristic
141	#64092	C₂²	1	1	yes	characteristic
142	#64092	C₂²	1	1	yes	characteristic
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	#64092	C₂²	1	1	yes	characteristic, complemented
147	#64092	C₂²	1	1	yes	characteristic, complemented
148	#64092	C₂²	1	1	yes	characteristic, complemented
149	#64091	C₂²	1	1	yes	characteristic
150	#64091	C₂²	1	1	yes	characteristic
151	#64091	C₂²	1	1	yes	characteristic
152	#64091	C₂²	1	1	yes	characteristic
153	#64091	C₂²	1	1	yes	characteristic, complemented
154	#64091	C₂²	1	1	yes	characteristic, complemented
155	#64091	C₂²	1	1	yes	characteristic, complemented
156	#64091	C₂²	1	1	yes	characteristic, complemented
157	#64090	C₂²	1	1	yes	characteristic
158	#64090	C₂²	1	1	yes	characteristic, complemented
159	#64090	C₂²	1	1	yes	characteristic, complemented
160	#64090	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
165	#64088	C₂²	1	1	yes	characteristic, complemented
166	#64088	C₂²	1	1	yes	characteristic, complemented
167	#64087	C₂²	1	1	yes	characteristic, complemented
168	#64087	C₂²	1	1	yes	characteristic, complemented
169	#64087	C₂²	1	1	yes	characteristic, complemented
170	#64086	C₂²	1	1	yes	characteristic, complemented
171	#64086	C₂²	1	1	yes	characteristic, complemented
172	#64085	C₂²	1	1	yes	characteristic, complemented
173	#64085	C₂²	1	1	yes	characteristic, complemented
174	#64085	C₂²	1	1	yes	characteristic, complemented
175	#64085	C₂²	1	1	yes	characteristic, complemented
176	#64084	C₂²	1	1	yes	characteristic, complemented
177	#64084	C₂²	1	1	yes	characteristic, complemented
178	#64083	C₂²	1	1	yes	characteristic
179	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
180	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
184	#64081	C₂²	1	1	yes	characteristic, complemented
185	#64081	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×#542	D₃	1	4	yes	complemented
189	#5735	—	3	4	no	—
190	#5726	—	3	4	no	—
191	#5711	—	3	4	no	—
192	#5708	—	3	4	no	—
193	#5707	—	3	4	no	—
194	#5704	—	3	4	no	—
195	#5684	—	3	4	no	—
196	#5678	—	3	4	no	—
197	#5678	—	3	4	no	—
198	#5676	—	3	4	no	—
199	#5674	—	3	4	no	—
200	#5669	—	3	4	no	—
201	#5663	—	3	4	no	—
202	#5661	—	3	4	no	—
203	#5654	—	3	4	no	—
204	D₃×#123	—	3	4	no	—
205	#5647	—	3	4	no	—
206	#5638	—	3	4	no	—
207	#5637	—	3	4	no	—
208	#5637	—	3	4	no	—
209	#5631	—	3	4	no	—
210	#5627	—	3	4	no	—
211	#5615	—	3	4	no	—
212	#5605	—	3	4	no	—
213	#5585	—	3	4	no	—
214	#5581	—	3	4	no	—
215	#5560	—	3	4	no	—
216	#5547	—	3	4	no	—
217	#5530	—	3	4	no	—
218	#5527	—	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×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
230	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
231	C₂×#638	C₂³	1	1	yes	characteristic
232	C₂×#638	C₂³	1	1	yes	characteristic
233	C₂×#638	C₂³	1	1	yes	characteristic
234	C₂×#638	C₂³	1	1	yes	characteristic
235	C₂×#638	C₂³	1	1	yes	characteristic
236	C₂×#638	C₂³	1	1	yes	characteristic
237	C₂×#638	C₂³	1	1	yes	characteristic
238	C₂×#638	C₂³	1	1	yes	characteristic
239	C₂×#638	C₂³	1	1	yes	characteristic
240	C₂×#638	C₂³	1	1	yes	characteristic
241	C₂×#638	C₂³	1	1	yes	characteristic
242	C₂×#638	C₂³	1	1	yes	characteristic
243	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
244	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
245	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
246	#3832	—	4	2	no	—
247	#3832	—	4	2	no	—
248	D₄×C₃⋊D₃	—	4	2	no	—
249	D₄×C₃⋊D₃	—	4	2	no	—
250	#3828	—	4	2	no	—
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×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
263	C₂×C₄×C₃⋊D₃	—	4	2	no	—
264	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
280	C₂×#634	C₂³	1	1	yes	characteristic
281	C₂×#634	C₂³	1	1	yes	characteristic
282	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₃²×C₄²	C₂³	1	1	yes	characteristic
305	C₃²×C₄²	C₂³	1	1	yes	characteristic
306	C₃²×C₄²	C₂³	1	1	yes	characteristic
307	C₃²×C₄²	C₂³	1	1	yes	characteristic
308	#3757	C₂³	1	1	yes	characteristic
309	#3757	C₂³	1	1	yes	characteristic
310	#3757	C₂³	1	1	yes	characteristic
311	#3757	C₂³	1	1	yes	characteristic
312	#3757	C₂³	1	1	yes	characteristic
313	#3757	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	#3752	C₂³	1	1	yes	characteristic
335	#3752	C₂³	1	1	yes	characteristic
336	#3752	C₂³	1	1	yes	characteristic
337	#3752	C₂³	1	1	yes	characteristic
338	#3752	C₂³	1	1	yes	characteristic
339	#3752	C₂³	1	1	yes	characteristic
340	#3752	C₂³	1	1	yes	characteristic
341	#3752	C₂³	1	1	yes	characteristic
342	#3752	C₂³	1	1	yes	characteristic
343	#3752	C₂³	1	1	yes	characteristic
344	#3752	C₂³	1	1	yes	characteristic
345	#3752	C₂³	1	1	yes	characteristic
346	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
347	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
348	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
349	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
350	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
351	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
352	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
353	C₄⋊(C₃⋊Dic₃)	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	#3750	C₂³	1	1	yes	characteristic
367	#3750	C₂³	1	1	yes	characteristic
368	#3750	C₂³	1	1	yes	characteristic
369	#3750	C₂³	1	1	yes	characteristic
370	#3750	C₂³	1	1	yes	characteristic
371	#3750	C₂³	1	1	yes	characteristic
372	#3750	C₂³	1	1	yes	characteristic
373	#3750	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	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
378	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
379	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
380	#3533	—	9	1	no	Sylow
381	C₂×#239	—	3	4	no	—
382	C₂×#239	—	3	4	no	—
383	C₂×D₃×D₄	—	3	4	no	—
384	C₂×D₃×D₄	—	3	4	no	—
385	C₂×#235	—	3	4	no	—
386	C₂²×C₄×D₃	—	3	4	no	—
387	C₃×C₄⋊Q₈	C₂×D₃	1	4	yes	complemented
388	C₃×#126	C₂×D₃	1	4	yes	complemented
389	C₃×#126	C₂×D₃	1	4	yes	complemented
390	C₃×#124	C₂×D₃	1	4	yes	complemented
391	C₃×#124	C₂×D₃	1	4	yes	complemented
392	C₃×#124	C₂×D₃	1	4	yes	complemented
393	C₃×#123	C₂×D₃	1	4	yes	complemented
394	C₃×#123	C₂×D₃	1	4	yes	complemented
395	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
396	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
397	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
398	C₃×#121	C₂×D₃	1	4	yes	—
399	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
400	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
401	C₃×#117	C₂×D₃	1	4	yes	complemented
402	#947	—	3	4	no	—
403	#947	—	3	4	no	—
404	#947	—	3	4	no	—
405	#946	—	3	4	no	—
406	#946	—	3	4	no	—
407	#946	—	3	4	no	—
408	#946	—	3	4	no	—
409	#946	—	3	4	no	—
410	#946	—	3	4	no	—
411	#944	—	3	4	no	—
412	#940	—	3	4	no	—
413	#939	—	3	4	no	—
414	#939	—	3	4	no	—
415	#939	—	3	4	no	—
416	#939	—	3	4	no	—
417	#939	—	3	4	no	—
418	#938	—	3	4	no	—
419	#937	—	3	4	no	—
420	#937	—	3	4	no	—
421	#935	—	3	4	no	—
422	#930	—	3	4	no	—
423	#930	—	3	4	no	—
424	#929	—	3	4	no	—
425	#929	—	3	4	no	—
426	C₄×#67	—	3	4	no	—
427	C₄×#67	—	3	4	no	—
428	C₄×#67	—	3	4	no	—
429	C₄×#67	—	3	4	no	—
430	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
431	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
432	#898	—	3	4	no	—
433	#898	—	3	4	no	—
434	#898	—	3	4	no	—
435	#898	—	3	4	no	—
436	#897	—	3	4	no	—
437	#896	—	3	4	no	—
438	#896	—	3	4	no	—
439	#896	—	3	4	no	—
440	#895	—	3	4	no	—
441	#895	—	3	4	no	—
442	#895	—	3	4	no	—
443	#895	—	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	#894	—	3	4	no	—
456	#894	—	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	D₃×C₄⋊C₄	—	3	4	no	—
464	D₃×C₄⋊C₄	—	3	4	no	—
465	D₃×C₄⋊C₄	—	3	4	no	—
466	D₃×C₄⋊C₄	—	3	4	no	—
467	#890	—	3	4	no	—
468	#889	—	3	4	no	—
469	#889	—	3	4	no	—
470	#889	—	3	4	no	—
471	#889	—	3	4	no	—
472	#886	—	3	4	no	—
473	#886	—	3	4	no	—
474	#886	—	3	4	no	—
475	#885	—	3	4	no	—
476	#885	—	3	4	no	—
477	#884	—	3	4	no	—
478	#884	—	3	4	no	—
479	#884	—	3	4	no	—
480	#884	—	3	4	no	—
481	#884	—	3	4	no	—
482	#884	—	3	4	no	—
483	#884	—	3	4	no	—
484	#884	—	3	4	no	—
485	#884	—	3	4	no	—
486	#884	—	3	4	no	—
487	#884	—	3	4	no	—
488	#883	—	3	4	no	—
489	#883	—	3	4	no	—
490	#883	—	3	4	no	—
491	#883	—	3	4	no	—
492	#883	—	3	4	no	—
493	#883	—	3	4	no	—
494	#883	—	3	4	no	—
495	#883	—	3	4	no	—
496	#883	—	3	4	no	—
497	#882	—	3	4	no	—
498	#882	—	3	4	no	—
499	#882	—	3	4	no	—
500	#882	—	3	4	no	—
501	#882	—	3	4	no	—
502	#882	—	3	4	no	—
503	#882	—	3	4	no	—
504	#882	—	3	4	no	—
505	#67⋊C₄	—	3	4	no	—
506	#67⋊C₄	—	3	4	no	—
507	#67⋊C₄	—	3	4	no	—
508	#67⋊C₄	—	3	4	no	—
509	D₃×C₂²⋊C₄	—	3	4	no	—
510	D₃×C₂²⋊C₄	—	3	4	no	—
511	D₃×C₂²⋊C₄	—	3	4	no	—
512	D₃×C₂²⋊C₄	—	3	4	no	—
513	#879	—	3	4	no	—
514	#879	—	3	4	no	—
515	#878	—	3	4	no	—
516	#878	—	3	4	no	—
517	#878	—	3	4	no	—
518	#877	—	3	4	no	—
519	#877	—	3	4	no	—
520	#876	—	3	4	no	—
521	#876	—	3	4	no	—
522	#876	—	3	4	no	—
523	#876	—	3	4	no	—
524	#875	—	3	4	no	—
525	#875	—	3	4	no	—
526	#874	—	3	4	no	—
527	C₄×D₁₂	—	3	4	no	—
528	C₄×D₁₂	—	3	4	no	—
529	C₄×D₁₂	—	3	4	no	—
530	C₄×D₁₂	—	3	4	no	—
531	C₄×D₁₂	—	3	4	no	—
532	#872	—	3	4	no	—
533	#872	—	3	4	no	—
534	#870	—	3	4	no	—
535	C₄×Dic₆	—	3	4	no	—
536	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
537	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
538	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
539	C₂²×C₃⋊D₃	—	2	2	no	—
540	C₂²×C₃⋊D₃	—	2	2	no	—
541	C₂²×C₃⋊D₃	—	4	1	no	—
542	C₂²×C₃⋊D₃	—	4	1	no	—
543	C₂²×C₃⋊D₃	—	4	1	no	—
544	C₂²×C₃⋊D₃	—	4	1	no	—
545	C₂²×C₃⋊D₃	—	4	1	no	—
546	C₂²×C₃⋊D₃	—	4	1	no	—
547	C₂²×C₃⋊D₃	—	4	1	no	—
548	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
554	C₃²×Q₈	—	4	1	no	—
555	C₃²×Q₈	—	4	1	no	—
556	C₃²×Q₈	—	4	1	no	—
557	C₃²×D₄	—	4	1	no	—
558	C₃²×D₄	—	4	1	no	—
559	C₃²×D₄	—	4	1	no	—
560	C₂×C₃²×C₄	—	4	1	no	—
561	C₂×C₃²×C₄	—	4	1	no	—
562	C₂×C₃²×C₄	—	4	1	no	—
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	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
570	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
571	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
572	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
573	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
574	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
575	#638	—	2	2	no	—
576	#638	—	4	1	no	—
577	#638	—	4	1	no	—
578	#638	—	4	1	no	—
579	#638	—	4	1	no	—
580	#638	—	4	1	no	—
581	#638	—	4	1	no	—
582	#638	—	4	1	no	—
583	#638	—	4	1	no	—
584	#638	—	4	1	no	—
585	#638	—	4	1	no	—
586	#638	—	4	1	no	—
587	C₂×C₃⋊Dic₃	—	4	1	no	—
588	C₂×C₃⋊Dic₃	—	4	1	no	—
589	C₂×C₃⋊Dic₃	—	4	1	no	—
590	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
600	C₄⋊(C₃⋊D₃)	—	2	2	no	—
601	C₄⋊(C₃⋊D₃)	—	2	2	no	—
602	C₄⋊(C₃⋊D₃)	—	2	2	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	C₄⋊(C₃⋊D₃)	—	4	1	no	—
611	C₄⋊(C₃⋊D₃)	—	4	1	no	—
612	C₄×C₃⋊D₃	—	2	2	no	—
613	C₄×C₃⋊D₃	—	2	2	no	—
614	C₄×C₃⋊D₃	—	2	2	no	—
615	C₄×C₃⋊D₃	—	4	1	no	—
616	C₄×C₃⋊D₃	—	4	1	no	—
617	C₄×C₃⋊D₃	—	4	1	no	—
618	C₄×C₃⋊D₃	—	4	1	no	—
619	C₄×C₃⋊D₃	—	4	1	no	—
620	C₄×C₃⋊D₃	—	4	1	no	—
621	C₄×C₃⋊D₃	—	4	1	no	—
622	C₄×C₃⋊D₃	—	4	1	no	—
623	C₄×C₃⋊D₃	—	4	1	no	—
624	C₄×C₃⋊D₃	—	4	1	no	—
625	C₄×C₃⋊D₃	—	4	1	no	—
626	C₄×C₃⋊D₃	—	4	1	no	—
627	C₄×C₃⋊D₃	—	4	1	no	—
628	#634	—	4	1	no	—
629	#634	—	4	1	no	—
630	#563	—	9	1	no	—
631	#562	—	9	1	no	—
632	#562	—	9	1	no	—
633	#560	—	9	1	no	—
634	#559	—	9	1	no	—
635	#553	—	9	1	no	—
636	#553	—	9	1	no	—
637	#552	—	9	1	no	—
638	#552	—	9	1	no	—
639	#551	—	9	1	no	—
640	#551	—	9	1	no	—
641	#551	—	9	1	no	—
642	#547	—	9	1	no	—
643	#547	—	9	1	no	—
644	#546	—	9	1	no	—
645	#546	—	9	1	no	—
646	#542	—	9	1	no	—
647	#542	C₃⋊D₃	1	1	yes	characteristic, complemented
648	#540	—	9	1	no	—
649	#540	—	9	1	no	—
650	#539	—	9	1	no	—
651	#539	—	9	1	no	—
652	#538	—	9	1	no	—
653	#538	—	9	1	no	—
654	#538	—	9	1	no	—
655	#538	—	9	1	no	—
656	#535	—	9	1	no	—
657	#534	—	9	1	no	—
658	#525	—	9	1	no	—
659	#525	—	9	1	no	—
660	C₂×#123	—	9	1	no	—
661	C₂³×D₃	—	3	4	no	—
662	C₂³×D₃	—	3	4	no	—
663	C₂³×D₃	—	3	4	no	—
664	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
665	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
666	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
667	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
668	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
669	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
670	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
671	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
672	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
673	C₂×#67	—	3	4	no	—
674	C₂×#67	—	3	4	no	—
675	C₂×#67	—	3	4	no	—
676	C₂×#67	—	3	4	no	—
677	C₂×#67	—	3	4	no	—
678	C₂×#67	—	3	4	no	—
679	C₂×#67	—	3	4	no	—
680	C₂×#67	—	3	4	no	—
681	C₂×#67	—	3	4	no	—
682	C₂×#67	—	3	4	no	—
683	C₂×#67	—	3	4	no	—
684	C₂×#67	—	3	4	no	—
685	C₂²×Dic₃	—	3	4	no	—
686	C₂²×Dic₃	—	3	4	no	—
687	C₂²×Dic₃	—	3	4	no	—
688	#239	—	12	8	no	—
689	#239	—	12	8	no	—
690	D₃×D₄	—	12	8	no	—
691	D₃×D₄	—	12	8	no	—
692	#235	—	12	8	no	—
693	C₂×D₁₂	—	3	4	no	—
694	C₂×D₁₂	—	3	4	no	—
695	C₂×D₁₂	—	3	4	no	—
696	C₂×D₁₂	—	3	4	no	—
697	C₂×D₁₂	—	3	4	no	—
698	C₂×D₁₂	—	3	4	no	—
699	C₂×D₁₂	—	3	4	no	—
700	C₂×D₁₂	—	3	4	no	—
701	C₂×D₁₂	—	3	4	no	—
702	C₂×D₁₂	—	3	4	no	—
703	C₂×D₁₂	—	3	4	no	—
704	C₂×D₁₂	—	3	4	no	—
705	C₂×C₄×D₃	—	3	4	no	—
706	C₂×C₄×D₃	—	3	4	no	—
707	C₂×C₄×D₃	—	3	4	no	—
708	C₂×C₄×D₃	—	3	4	no	—
709	C₂×C₄×D₃	—	3	4	no	—
710	C₂×C₄×D₃	—	3	4	no	—
711	C₂×C₄×D₃	—	3	4	no	—
712	C₂×C₄×D₃	—	3	4	no	—
713	C₂×C₄×D₃	—	3	4	no	—
714	C₂×C₄×D₃	—	3	4	no	—
715	C₂×C₄×D₃	—	3	4	no	—
716	C₂×C₄×D₃	—	3	4	no	—
717	C₂×C₄×D₃	—	3	4	no	—
718	C₂×C₄×D₃	—	3	4	no	—
719	C₂×C₄×D₃	—	3	4	no	—
720	C₂×C₄×D₃	—	3	4	no	—
721	C₂×C₄×D₃	—	12	8	no	—
722	C₂×Dic₆	—	3	4	no	—
723	C₂×Dic₆	—	3	4	no	—
724	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
725	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
726	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
727	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
728	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
729	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
730	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
731	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
732	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
733	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
734	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
735	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
736	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
737	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
738	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
739	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
740	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
741	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
742	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
743	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
744	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
745	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
746	C₃×C₄²	C₂²×D₃	1	4	yes	—
747	C₃×C₄²	C₂²×D₃	1	4	yes	—
748	C₃×C₄²	C₂²×D₃	1	4	yes	—
749	C₃×C₄²	C₂²×D₃	1	4	yes	—
750	#217	—	3	4	no	—
751	#217	—	3	4	no	—
752	#217	—	3	4	no	—
753	#217	—	3	4	no	—
754	#217	—	3	4	no	—
755	#217	—	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	(C₂×D₃)⋊C₄	—	3	4	no	—
760	(C₂×D₃)⋊C₄	—	3	4	no	—
761	(C₂×D₃)⋊C₄	—	3	4	no	—
762	(C₂×D₃)⋊C₄	—	3	4	no	—
763	(C₂×D₃)⋊C₄	—	3	4	no	—
764	(C₂×D₃)⋊C₄	—	3	4	no	—
765	(C₂×D₃)⋊C₄	—	3	4	no	—
766	(C₂×D₃)⋊C₄	—	3	4	no	—
767	(C₂×D₃)⋊C₄	—	3	4	no	—
768	(C₂×D₃)⋊C₄	—	3	4	no	—
769	(C₂×D₃)⋊C₄	—	3	4	no	—
770	(C₂×D₃)⋊C₄	—	3	4	no	—
771	(C₂×D₃)⋊C₄	—	3	4	no	—
772	(C₂×D₃)⋊C₄	—	3	4	no	—
773	(C₂×D₃)⋊C₄	—	3	4	no	—
774	(C₂×D₃)⋊C₄	—	3	4	no	—
775	(C₂×D₃)⋊C₄	—	3	4	no	—
776	(C₂×D₃)⋊C₄	—	3	4	no	—
777	(C₂×D₃)⋊C₄	—	3	4	no	—
778	(C₂×D₃)⋊C₄	—	3	4	no	—
779	(C₂×D₃)⋊C₄	—	3	4	no	—
780	(C₂×D₃)⋊C₄	—	3	4	no	—
781	(C₂×D₃)⋊C₄	—	3	4	no	—
782	(C₂×D₃)⋊C₄	—	3	4	no	—
783	(C₂×D₃)⋊C₄	—	3	4	no	—
784	(C₂×D₃)⋊C₄	—	3	4	no	—
785	(C₂×D₃)⋊C₄	—	3	4	no	—
786	(C₂×D₃)⋊C₄	—	3	4	no	—
787	(C₂×D₃)⋊C₄	—	3	4	no	—
788	C₄⋊Dic₃	—	3	4	no	—
789	C₄⋊Dic₃	—	3	4	no	—
790	C₄⋊Dic₃	—	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	Dic₃⋊C₄	—	3	4	no	—
797	Dic₃⋊C₄	—	3	4	no	—
798	Dic₃⋊C₄	—	3	4	no	—
799	Dic₃⋊C₄	—	3	4	no	—
800	Dic₃⋊C₄	—	3	4	no	—
801	Dic₃⋊C₄	—	3	4	no	—
802	Dic₃⋊C₄	—	3	4	no	—
803	Dic₃⋊C₄	—	3	4	no	—
804	Dic₃⋊C₄	—	3	4	no	—
805	Dic₃⋊C₄	—	3	4	no	—
806	Dic₃⋊C₄	—	3	4	no	—
807	Dic₃⋊C₄	—	3	4	no	—
808	Dic₃⋊C₄	—	3	4	no	—
809	Dic₃⋊C₄	—	3	4	no	—
810	Dic₃⋊C₄	—	3	4	no	—
811	Dic₃⋊C₄	—	3	4	no	—
812	Dic₃⋊C₄	—	3	4	no	—
813	Dic₃⋊C₄	—	3	4	no	—
814	Dic₃⋊C₄	—	3	4	no	—
815	Dic₃⋊C₄	—	3	4	no	—
816	C₄×Dic₃	—	3	4	no	—
817	C₄×Dic₃	—	3	4	no	—
818	C₄×Dic₃	—	3	4	no	—
819	C₄×Dic₃	—	3	4	no	—
820	C₄×Dic₃	—	3	4	no	—
821	C₄×Dic₃	—	3	4	no	—
822	C₂²×C₃²	—	2	1	no	—
823	C₂²×C₃²	—	2	1	no	—
824	C₂²×C₃²	—	2	1	no	—
825	C₂²×C₃²	—	2	1	no	—
826	C₂²×C₃²	—	2	1	no	—
827	C₂²×C₃²	—	2	1	no	—
828	C₂²×C₃²	—	2	1	no	—
829	C₂²×C₃²	—	2	1	no	—
830	C₂²×C₃²	—	2	1	no	—
831	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
832	C₂×C₃⋊D₃	—	2	1	no	—
833	C₂×C₃⋊D₃	—	2	1	no	—
834	C₂×C₃⋊D₃	—	2	1	no	—
835	C₂×C₃⋊D₃	—	2	1	no	—
836	C₂×C₃⋊D₃	—	2	1	no	—
837	C₂×C₃⋊D₃	—	2	1	no	—
838	C₂×C₃⋊D₃	—	2	1	no	—
839	C₂×C₃⋊D₃	—	2	1	no	—
840	C₂×C₃⋊D₃	—	2	1	no	—
841	C₂×C₃⋊D₃	—	2	1	no	—
842	C₂×C₃⋊D₃	—	2	1	no	—
843	C₂×C₃⋊D₃	—	2	1	no	—
844	C₂×C₃⋊D₃	—	2	1	no	—
845	C₂×C₃⋊D₃	—	2	1	no	—
846	C₂×C₃⋊D₃	—	2	1	no	—
847	C₂×C₃⋊D₃	—	2	1	no	—
848	C₂×C₃⋊D₃	—	2	1	no	—
849	C₂×C₃⋊D₃	—	4	4	no	—
850	C₂×C₃⋊D₃	—	8	2	no	—
851	C₂×C₃⋊D₃	—	8	2	no	—
852	C₂×C₃⋊D₃	H(5,𝔽₂)	1	2	yes	—
853	C₃²×C₄	—	2	1	no	—
854	C₃²×C₄	—	2	1	no	—
855	C₃²×C₄	—	2	1	no	—
856	C₃²×C₄	—	2	1	no	—
857	C₃²×C₄	—	2	1	no	—
858	C₃²×C₄	—	2	1	no	—
859	C₃²×C₄	—	2	1	no	—
860	C₃²×C₄	—	2	1	no	—
861	C₃²×C₄	—	2	1	no	—
862	C₃²×C₄	—	2	1	no	—
863	C₃²×C₄	—	2	1	no	—
864	C₃²×C₄	—	2	1	no	—
865	C₃⋊Dic₃	—	2	1	no	—
866	C₃⋊Dic₃	—	2	1	no	—
867	C₃⋊Dic₃	—	2	1	no	—
868	C₃⋊Dic₃	—	2	1	no	—
869	C₃⋊Dic₃	—	2	1	no	—
870	C₃⋊Dic₃	—	2	1	no	—
871	C₃⋊Dic₃	—	2	1	no	—
872	C₃⋊Dic₃	—	2	1	no	—
873	C₃⋊Dic₃	—	2	1	no	—
874	C₃⋊Dic₃	—	2	1	no	—
875	C₂×#41	—	9	1	no	—
876	C₂×#41	—	9	1	no	—
877	C₂×#41	—	9	1	no	—
878	C₂²×D₄	—	9	1	no	—
879	C₂²×D₄	—	9	1	no	—
880	C₂³×C₄	—	9	1	no	—
881	C₄⋊Q₈	—	9	1	no	—
882	C₄⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
883	#127	—	9	1	no	—
884	#127	—	9	1	no	—
885	#126	—	9	1	no	—
886	#126	—	9	1	no	—
887	#126	—	9	1	no	—
888	#126	—	9	1	no	—
889	#126	—	9	1	no	—
890	#126	—	9	1	no	—
891	#126	—	9	1	no	—
892	#126	—	9	1	no	—
893	#126	—	9	1	no	—
894	#126	—	9	1	no	—
895	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
896	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
897	#125	—	9	1	no	—
898	#125	—	9	1	no	—
899	#125	—	9	1	no	—
900	#125	—	9	1	no	—
901	#125	—	9	1	no	—
902	#125	—	9	1	no	—
903	#124	—	9	1	no	—
904	#124	—	9	1	no	—
905	#124	—	9	1	no	—
906	#124	—	9	1	no	—
907	#124	—	9	1	no	—
908	#124	—	9	1	no	—
909	#124	—	9	1	no	—
910	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
911	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
912	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
913	#123	—	9	1	no	—
914	#123	—	9	1	no	—
915	#123	—	9	1	no	—
916	#123	—	9	1	no	—
917	#123	—	9	1	no	—
918	#123	—	9	1	no	—
919	#123	—	9	1	no	—
920	#123	—	9	1	no	—
921	#123	—	9	1	no	—
922	#123	—	9	1	no	—
923	#123	—	9	1	no	—
924	#123	—	9	1	no	—
925	#123	—	9	1	no	—
926	#123	—	9	1	no	—
927	#123	—	9	1	no	—
928	#123	—	9	1	no	—
929	#123	—	9	1	no	—
930	#123	—	9	1	no	—
931	#123	—	9	1	no	—
932	#123	—	9	1	no	—
933	#123	—	9	1	no	—
934	#123	—	9	1	no	—
935	#123	—	9	1	no	—
936	#123	—	9	1	no	—
937	#123	—	9	1	no	—
938	#123	—	9	1	no	—
939	#123	—	9	1	no	—
940	#123	—	9	1	no	—
941	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
942	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
943	C₂²⋊Q₈	—	9	1	no	—
944	C₂²⋊Q₈	—	9	1	no	—
945	C₂²⋊Q₈	—	9	1	no	—
946	C₂²⋊Q₈	—	9	1	no	—
947	C₂²⋊Q₈	—	9	1	no	—
948	C₂²⋊Q₈	—	9	1	no	—
949	C₂²⋊Q₈	—	9	1	no	—
950	C₂²⋊Q₈	—	9	1	no	—
951	C₂²⋊Q₈	—	9	1	no	—
952	C₂²⋊Q₈	—	9	1	no	—
953	C₂²⋊Q₈	—	9	1	no	—
954	C₂²⋊Q₈	—	9	1	no	—
955	C₂²⋊Q₈	—	9	1	no	—
956	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
957	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
958	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
959	#121	—	9	1	no	—
960	#121	—	9	1	no	—
961	#121	—	9	1	no	—
962	#121	—	9	1	no	—
963	#121	—	9	1	no	—
964	#121	—	9	1	no	—
965	#121	—	9	1	no	—
966	#121	—	9	1	no	—
967	#121	—	9	1	no	—
968	#121	—	9	1	no	—
969	#121	—	9	1	no	—
970	#121	—	9	1	no	—
971	#121	—	9	1	no	—
972	#121	—	9	1	no	—
973	#121	—	9	1	no	—
974	#121	—	9	1	no	—
975	#121	—	9	1	no	—
976	#121	—	9	1	no	—
977	#121	—	9	1	no	—
978	#121	—	9	1	no	—
979	#121	—	9	1	no	—
980	#121	—	9	1	no	—
981	#121	—	9	1	no	—
982	#121	C₂×C₃⋊D₃	1	1	yes	characteristic
983	#120	—	9	1	no	—
984	#120	—	9	1	no	—
985	#120	—	9	1	no	—
986	#120	—	9	1	no	—
987	#120	—	9	1	no	—
988	#120	—	9	1	no	—
989	#120	—	9	1	no	—
990	#120	—	9	1	no	—
991	#120	—	9	1	no	—
992	#120	—	9	1	no	—
993	C₄×Q₈	—	9	1	no	—
994	C₄×Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
995	C₄×D₄	—	9	1	no	—
996	C₄×D₄	—	9	1	no	—
997	C₄×D₄	—	9	1	no	—
998	C₄×D₄	—	9	1	no	—
999	C₄×D₄	—	9	1	no	—
1000	C₄×D₄	—	9	1	no	—
1001	C₄×D₄	—	9	1	no	—
1002	C₄×D₄	—	9	1	no	—
1003	C₄×D₄	—	9	1	no	—
1004	C₄×D₄	—	9	1	no	—
1005	C₄×D₄	—	9	1	no	—
1006	C₄×D₄	—	9	1	no	—
1007	C₄×D₄	—	9	1	no	—
1008	C₄×D₄	—	9	1	no	—
1009	C₄×D₄	—	9	1	no	—
1010	C₄×D₄	—	9	1	no	—
1011	C₄×D₄	—	9	1	no	—
1012	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1013	#117	—	9	1	no	—
1014	#117	—	9	1	no	—
1015	#117	—	9	1	no	—
1016	#117	—	9	1	no	—
1017	#117	—	9	1	no	—
1018	#117	—	9	1	no	—
1019	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1020	C₂×C₄⋊C₄	—	9	1	no	—
1021	C₂×C₄⋊C₄	—	9	1	no	—
1022	C₂×C₄⋊C₄	—	9	1	no	—
1023	C₂×C₄⋊C₄	—	9	1	no	—
1024	C₂×C₂²⋊C₄	—	9	1	no	—
1025	C₂×C₂²⋊C₄	—	9	1	no	—
1026	C₂×C₂²⋊C₄	—	9	1	no	—
1027	C₂×C₂²⋊C₄	—	9	1	no	—
1028	C₂×C₂²⋊C₄	—	9	1	no	—
1029	C₂×C₂²⋊C₄	—	9	1	no	—
1030	C₂³×C₃	C₂³×D₃	1	4	yes	—
1031	C₂³×C₃	C₂³×D₃	1	4	yes	—
1032	C₂³×C₃	C₂³×D₃	1	4	yes	—
1033	C₂²×D₃	—	3	4	no	—
1034	C₂²×D₃	—	3	4	no	—
1035	C₂²×D₃	—	3	4	no	—
1036	C₂²×D₃	—	3	4	no	—
1037	C₂²×D₃	—	3	4	no	—
1038	C₂²×D₃	—	3	4	no	—
1039	C₂²×D₃	—	6	8	no	—
1040	C₂²×D₃	—	6	8	no	—
1041	C₂²×D₃	—	12	4	no	—
1042	C₂²×D₃	—	12	4	no	—
1043	C₂²×D₃	—	12	4	no	—
1044	C₂²×D₃	—	12	4	no	—
1045	C₂²×D₃	—	12	4	no	—
1046	C₂²×D₃	—	12	4	no	—
1047	C₂²×D₃	—	12	4	no	—
1048	C₃×Q₈	—	4	4	no	—
1049	C₃×Q₈	—	4	4	no	—
1050	C₃×Q₈	—	4	4	no	—
1051	C₃×D₄	—	4	4	no	—
1052	C₃×D₄	—	4	4	no	—
1053	C₃×D₄	—	4	4	no	—
1054	C₂×C₃×C₄	—	4	4	no	—
1055	C₂×C₃×C₄	—	4	4	no	—
1056	C₂×C₃×C₄	—	4	4	no	—
1057	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1058	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1059	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1060	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1061	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1062	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1063	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1064	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1065	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1066	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1067	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1068	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1069	#67	—	6	8	no	—
1070	#67	—	12	4	no	—
1071	#67	—	12	4	no	—
1072	#67	—	12	4	no	—
1073	#67	—	12	4	no	—
1074	#67	—	12	4	no	—
1075	#67	—	12	4	no	—
1076	#67	—	12	4	no	—
1077	#67	—	12	4	no	—
1078	#67	—	12	4	no	—
1079	#67	—	12	4	no	—
1080	#67	—	12	4	no	—
1081	C₂×Dic₃	—	3	4	no	—
1082	C₂×Dic₃	—	3	4	no	—
1083	C₂×Dic₃	—	3	4	no	—
1084	C₂×Dic₃	—	3	4	no	—
1085	C₂×Dic₃	—	3	4	no	—
1086	C₂×Dic₃	—	3	4	no	—
1087	C₂×Dic₃	—	3	4	no	—
1088	C₂×Dic₃	—	3	4	no	—
1089	C₂×Dic₃	—	3	4	no	—
1090	C₂×Dic₃	—	3	4	no	—
1091	C₂×Dic₃	—	12	4	no	—
1092	C₂×Dic₃	—	12	4	no	—
1093	C₂×Dic₃	—	12	4	no	—
1094	D₁₂	—	6	8	no	—
1095	D₁₂	—	6	8	no	—
1096	D₁₂	—	6	8	no	—
1097	D₁₂	—	12	4	no	—
1098	D₁₂	—	12	4	no	—
1099	D₁₂	—	12	4	no	—
1100	D₁₂	—	12	4	no	—
1101	D₁₂	—	12	4	no	—
1102	D₁₂	—	12	4	no	—
1103	D₁₂	—	12	4	no	—
1104	D₁₂	—	12	4	no	—
1105	D₁₂	—	12	4	no	—
1106	C₄×D₃	—	6	8	no	—
1107	C₄×D₃	—	6	8	no	—
1108	C₄×D₃	—	6	8	no	—
1109	C₄×D₃	—	12	4	no	—
1110	C₄×D₃	—	12	4	no	—
1111	C₄×D₃	—	12	4	no	—
1112	C₄×D₃	—	12	4	no	—
1113	C₄×D₃	—	12	4	no	—
1114	C₄×D₃	—	12	4	no	—
1115	C₄×D₃	—	12	4	no	—
1116	C₄×D₃	—	12	4	no	—
1117	C₄×D₃	—	12	4	no	—
1118	C₄×D₃	—	12	4	no	—
1119	C₄×D₃	—	12	4	no	—
1120	C₄×D₃	—	12	4	no	—
1121	C₄×D₃	—	12	4	no	—
1122	Dic₆	—	12	4	no	—
1123	Dic₆	—	12	4	no	—
1124	C₂×C₃²	—	4	1	no	—
1125	C₂×C₃²	—	4	1	no	—
1126	C₂×C₃²	—	4	1	no	—
1127	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1128	C₂×C₃²	#585	1	1	yes	characteristic
1129	C₂×C₃²	#585	1	1	yes	characteristic
1130	C₃⋊D₃	—	2	2	no	—
1131	C₃⋊D₃	—	4	1	no	—
1132	C₃⋊D₃	—	4	1	no	—
1133	C₃⋊D₃	—	4	1	no	—
1134	C₃⋊D₃	—	4	1	no	—
1135	C₃⋊D₃	—	4	1	no	—
1136	C₂⁴	—	9	1	no	—
1137	C₂⁴	—	9	1	no	—
1138	C₂⁴	—	9	1	no	—
1139	#41	—	36	2	no	—
1140	#41	—	36	2	no	—
1141	#41	—	36	2	no	—
1142	C₂×Q₈	—	9	1	no	—
1143	C₂×Q₈	—	9	1	no	—
1144	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1145	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1146	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1147	C₂×D₄	—	9	1	no	—
1148	C₂×D₄	—	9	1	no	—
1149	C₂×D₄	—	9	1	no	—
1150	C₂×D₄	—	9	1	no	—
1151	C₂×D₄	—	9	1	no	—
1152	C₂×D₄	—	9	1	no	—
1153	C₂×D₄	—	9	1	no	—
1154	C₂×D₄	—	9	1	no	—
1155	C₂×D₄	—	9	1	no	—
1156	C₂×D₄	—	9	1	no	—
1157	C₂×D₄	—	9	1	no	—
1158	C₂×D₄	—	9	1	no	—
1159	C₂×D₄	—	9	1	no	—
1160	C₂×D₄	—	9	1	no	—
1161	C₂×D₄	—	9	1	no	—
1162	C₂×D₄	—	9	1	no	—
1163	C₂×D₄	—	9	1	no	—
1164	C₂×D₄	—	9	1	no	—
1165	C₂×D₄	—	9	1	no	—
1166	C₂×D₄	—	9	1	no	—
1167	C₂×D₄	—	9	1	no	—
1168	C₂×D₄	—	9	1	no	—
1169	C₂×D₄	—	9	1	no	—
1170	C₂×D₄	—	9	1	no	—
1171	C₂×D₄	—	36	2	no	—
1172	C₂×D₄	—	36	2	no	—
1173	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1174	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1175	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1176	C₂²×C₄	—	9	1	no	—
1177	C₂²×C₄	—	9	1	no	—
1178	C₂²×C₄	—	9	1	no	—
1179	C₂²×C₄	—	9	1	no	—
1180	C₂²×C₄	—	9	1	no	—
1181	C₂²×C₄	—	9	1	no	—
1182	C₂²×C₄	—	9	1	no	—
1183	C₂²×C₄	—	9	1	no	—
1184	C₂²×C₄	—	9	1	no	—
1185	C₂²×C₄	—	9	1	no	—
1186	C₂²×C₄	—	9	1	no	—
1187	C₂²×C₄	—	9	1	no	—
1188	C₂²×C₄	—	9	1	no	—
1189	C₂²×C₄	—	9	1	no	—
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	—	36	2	no	—
1196	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1199	C₄⋊C₄	—	9	1	no	—
1200	C₄⋊C₄	—	9	1	no	—
1201	C₄⋊C₄	—	9	1	no	—
1202	C₄⋊C₄	—	9	1	no	—
1203	C₄⋊C₄	—	9	1	no	—
1204	C₄⋊C₄	—	9	1	no	—
1205	C₄⋊C₄	—	9	1	no	—
1206	C₄⋊C₄	—	9	1	no	—
1207	C₄⋊C₄	—	9	1	no	—
1208	C₄⋊C₄	—	9	1	no	—
1209	C₄⋊C₄	—	9	1	no	—
1210	C₄⋊C₄	—	9	1	no	—
1211	C₄⋊C₄	—	9	1	no	—
1212	C₄⋊C₄	—	9	1	no	—
1213	C₄⋊C₄	—	9	1	no	—
1214	C₄⋊C₄	—	9	1	no	—
1215	C₄⋊C₄	—	9	1	no	—
1216	C₄⋊C₄	—	9	1	no	—
1217	C₄⋊C₄	—	9	1	no	—
1218	C₄⋊C₄	—	9	1	no	—
1219	C₄⋊C₄	—	9	1	no	—
1220	C₄⋊C₄	—	9	1	no	—
1221	C₄⋊C₄	—	9	1	no	—
1222	C₄⋊C₄	—	9	1	no	—
1223	C₄⋊C₄	—	9	1	no	—
1224	C₄⋊C₄	—	9	1	no	—
1225	C₄⋊C₄	—	9	1	no	—
1226	C₄⋊C₄	—	9	1	no	—
1227	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1228	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1229	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1230	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1231	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1232	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1233	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1234	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1235	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1236	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1237	C₂²⋊C₄	—	9	1	no	—
1238	C₂²⋊C₄	—	9	1	no	—
1239	C₂²⋊C₄	—	9	1	no	—
1240	C₂²⋊C₄	—	9	1	no	—
1241	C₂²⋊C₄	—	9	1	no	—
1242	C₂²⋊C₄	—	9	1	no	—
1243	C₂²⋊C₄	—	9	1	no	—
1244	C₂²⋊C₄	—	9	1	no	—
1245	C₂²⋊C₄	—	9	1	no	—
1246	C₂²⋊C₄	—	9	1	no	—
1247	C₂²⋊C₄	—	9	1	no	—
1248	C₂²⋊C₄	—	9	1	no	—
1249	C₂²⋊C₄	—	9	1	no	—
1250	C₂²⋊C₄	—	9	1	no	—
1251	C₂²⋊C₄	—	9	1	no	—
1252	C₂²⋊C₄	—	9	1	no	—
1253	C₂²⋊C₄	—	9	1	no	—
1254	C₂²⋊C₄	—	9	1	no	—
1255	C₂²⋊C₄	—	9	1	no	—
1256	C₂²⋊C₄	—	9	1	no	—
1257	C₂²⋊C₄	—	9	1	no	—
1258	C₂²⋊C₄	—	9	1	no	—
1259	C₂²⋊C₄	—	9	1	no	—
1260	C₂²⋊C₄	—	9	1	no	—
1261	C₂²⋊C₄	—	9	1	no	—
1262	C₂²⋊C₄	—	9	1	no	—
1263	C₂²⋊C₄	—	9	1	no	—
1264	C₂²⋊C₄	—	9	1	no	—
1265	C₂²⋊C₄	—	9	1	no	—
1266	C₂²⋊C₄	—	9	1	no	—
1267	C₂²⋊C₄	—	9	1	no	—
1268	C₂²⋊C₄	—	9	1	no	—
1269	C₂²⋊C₄	—	9	1	no	—
1270	C₂²⋊C₄	—	9	1	no	—
1271	C₂²⋊C₄	—	9	1	no	—
1272	C₂²⋊C₄	—	9	1	no	—
1273	C₂²⋊C₄	—	9	1	no	—
1274	C₂²⋊C₄	—	9	1	no	—
1275	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1276	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1277	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1278	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1279	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1280	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1281	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1282	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1283	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1284	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1285	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1286	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1287	C₄²	—	9	1	no	—
1288	C₄²	—	9	1	no	—
1289	C₄²	—	9	1	no	—
1290	C₄²	—	9	1	no	—
1291	C₄²	—	9	1	no	—
1292	C₄²	—	9	1	no	—
1293	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1294	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1295	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1296	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1297	C₂²×C₃	—	2	4	no	—
1298	C₂²×C₃	—	2	4	no	—
1299	C₂²×C₃	—	2	4	no	—
1300	C₂²×C₃	—	2	4	no	—
1301	C₂²×C₃	—	2	4	no	—
1302	C₂²×C₃	—	2	4	no	—
1303	C₂²×C₃	—	2	4	no	—
1304	C₂²×C₃	—	2	4	no	—
1305	C₂²×C₃	—	2	4	no	—
1306	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1307	C₂×D₃	—	3	8	no	—
1308	C₂×D₃	—	6	4	no	—
1309	C₂×D₃	—	6	4	no	—
1310	C₂×D₃	—	6	4	no	—
1311	C₂×D₃	—	6	4	no	—
1312	C₂×D₃	—	6	4	no	—
1313	C₂×D₃	—	6	4	no	—
1314	C₂×D₃	—	6	4	no	—
1315	C₂×D₃	—	6	4	no	—
1316	C₂×D₃	—	6	4	no	—
1317	C₂×D₃	—	6	4	no	—
1318	C₂×D₃	—	6	4	no	—
1319	C₂×D₃	—	6	4	no	—
1320	C₂×D₃	—	6	4	no	—
1321	C₂×D₃	—	6	4	no	—
1322	C₂×D₃	—	6	4	no	—
1323	C₂×D₃	—	6	4	no	—
1324	C₂×D₃	—	6	4	no	—
1325	C₂×D₃	—	12	16	no	—
1326	C₂×D₃	—	24	8	no	—
1327	C₂×D₃	—	24	8	no	—
1328	C₃×C₄	—	2	4	no	—
1329	C₃×C₄	—	2	4	no	—
1330	C₃×C₄	—	2	4	no	—
1331	C₃×C₄	—	2	4	no	—
1332	C₃×C₄	—	2	4	no	—
1333	C₃×C₄	—	2	4	no	—
1334	C₃×C₄	—	2	4	no	—
1335	C₃×C₄	—	2	4	no	—
1336	C₃×C₄	—	2	4	no	—
1337	C₃×C₄	—	2	4	no	—
1338	C₃×C₄	—	2	4	no	—
1339	C₃×C₄	—	2	4	no	—
1340	Dic₃	—	6	4	no	—
1341	Dic₃	—	6	4	no	—
1342	Dic₃	—	6	4	no	—
1343	Dic₃	—	6	4	no	—
1344	Dic₃	—	6	4	no	—
1345	Dic₃	—	6	4	no	—
1346	Dic₃	—	6	4	no	—
1347	Dic₃	—	6	4	no	—
1348	Dic₃	—	6	4	no	—
1349	Dic₃	—	6	4	no	—
1350	C₃²	#3533	1	1	yes	characteristic, complemented, Sylow
1351	C₂³	—	9	1	no	—
1352	C₂³	—	9	1	no	—
1353	C₂³	—	9	1	no	—
1354	C₂³	—	9	1	no	—
1355	C₂³	—	9	1	no	—
1356	C₂³	—	9	1	no	—
1357	C₂³	—	18	2	no	—
1358	C₂³	—	18	2	no	—
1359	C₂³	—	36	1	no	—
1360	C₂³	—	36	1	no	—
1361	C₂³	—	36	1	no	—
1362	C₂³	—	36	1	no	—
1363	C₂³	—	36	1	no	—
1364	C₂³	—	36	1	no	—
1365	C₂³	—	36	1	no	—
1366	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1367	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1368	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1369	Q₈	—	4	1	no	—
1370	Q₈	—	4	1	no	—
1371	Q₈	—	4	1	no	—
1372	Q₈	—	36	1	no	—
1373	Q₈	—	36	1	no	—
1374	D₄	—	4	1	no	—
1375	D₄	—	4	1	no	—
1376	D₄	—	4	1	no	—
1377	D₄	—	18	2	no	—
1378	D₄	—	18	2	no	—
1379	D₄	—	18	2	no	—
1380	D₄	—	18	2	no	—
1381	D₄	—	36	1	no	—
1382	D₄	—	36	1	no	—
1383	D₄	—	36	1	no	—
1384	D₄	—	36	1	no	—
1385	D₄	—	36	1	no	—
1386	D₄	—	36	1	no	—
1387	D₄	—	36	1	no	—
1388	D₄	—	36	1	no	—
1389	D₄	—	36	1	no	—
1390	D₄	—	36	1	no	—
1391	D₄	—	36	1	no	—
1392	D₄	—	36	1	no	—
1393	D₄	—	36	1	no	—
1394	D₄	—	36	1	no	—
1395	D₄	—	36	1	no	—
1396	D₄	—	36	1	no	—
1397	D₄	—	36	1	no	—
1398	D₄	—	36	1	no	—
1399	D₄	—	36	1	no	—
1400	D₄	—	36	1	no	—
1401	C₂×C₄	—	4	1	no	—
1402	C₂×C₄	—	4	1	no	—
1403	C₂×C₄	—	4	1	no	—
1404	C₂×C₄	—	9	1	no	—
1405	C₂×C₄	—	9	1	no	—
1406	C₂×C₄	—	9	1	no	—
1407	C₂×C₄	—	9	1	no	—
1408	C₂×C₄	—	9	1	no	—
1409	C₂×C₄	—	9	1	no	—
1410	C₂×C₄	—	9	1	no	—
1411	C₂×C₄	—	9	1	no	—
1412	C₂×C₄	—	9	1	no	—
1413	C₂×C₄	—	9	1	no	—
1414	C₂×C₄	—	18	2	no	—
1415	C₂×C₄	—	18	2	no	—
1416	C₂×C₄	—	18	2	no	—
1417	C₂×C₄	—	36	1	no	—
1418	C₂×C₄	—	36	1	no	—
1419	C₂×C₄	—	36	1	no	—
1420	C₂×C₄	—	36	1	no	—
1421	C₂×C₄	—	36	1	no	—
1422	C₂×C₄	—	36	1	no	—
1423	C₂×C₄	—	36	1	no	—
1424	C₂×C₄	—	36	1	no	—
1425	C₂×C₄	—	36	1	no	—
1426	C₂×C₄	—	36	1	no	—
1427	C₂×C₄	—	36	1	no	—
1428	C₂×C₄	—	36	1	no	—
1429	C₂×C₄	—	36	1	no	—
1430	C₂×C₄	—	36	1	no	—
1431	C₂×C₄	—	36	1	no	—
1432	C₂×C₄	—	36	1	no	—
1433	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1434	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1435	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1436	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1437	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1438	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1439	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1440	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1441	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1442	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1443	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1444	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1445	C₂×C₃	—	4	4	no	—
1446	C₂×C₃	—	4	4	no	—
1447	C₂×C₃	—	4	4	no	—
1448	C₂×C₃	#5964	1	4	yes	—
1449	C₂×C₃	D₃×H(5,𝔽₂)	1	4	yes	—
1450	C₂×C₃	#5968	1	4	yes	—
1451	D₃	—	6	8	no	—
1452	D₃	—	12	4	no	—
1453	D₃	—	12	4	no	—
1454	D₃	—	12	4	no	—
1455	D₃	—	12	4	no	—
1456	D₃	—	12	4	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	1	no	—
1460	C₂²	—	2	1	no	—
1461	C₂²	—	2	1	no	—
1462	C₂²	—	2	1	no	—
1463	C₂²	—	2	1	no	—
1464	C₂²	—	2	1	no	—
1465	C₂²	—	2	1	no	—
1466	C₂²	—	9	2	no	—
1467	C₂²	—	18	1	no	—
1468	C₂²	—	18	1	no	—
1469	C₂²	—	18	1	no	—
1470	C₂²	—	18	1	no	—
1471	C₂²	—	18	1	no	—
1472	C₂²	—	18	1	no	—
1473	C₂²	—	18	1	no	—
1474	C₂²	—	18	1	no	—
1475	C₂²	—	18	1	no	—
1476	C₂²	—	18	1	no	—
1477	C₂²	—	18	1	no	—
1478	C₂²	—	18	1	no	—
1479	C₂²	—	18	1	no	—
1480	C₂²	—	18	1	no	—
1481	C₂²	—	18	1	no	—
1482	C₂²	—	18	1	no	—
1483	C₂²	—	18	1	no	—
1484	C₂²	—	36	4	no	—
1485	C₂²	—	72	2	no	—
1486	C₂²	—	72	2	no	—
1487	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1488	C₄	—	2	1	no	—
1489	C₄	—	2	1	no	—
1490	C₄	—	2	1	no	—
1491	C₄	—	2	1	no	—
1492	C₄	—	2	1	no	—
1493	C₄	—	2	1	no	—
1494	C₄	—	2	1	no	—
1495	C₄	—	2	1	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	—	2	1	no	—
1499	C₄	—	2	1	no	—
1500	C₄	—	18	1	no	—
1501	C₄	—	18	1	no	—
1502	C₄	—	18	1	no	—
1503	C₄	—	18	1	no	—
1504	C₄	—	18	1	no	—
1505	C₄	—	18	1	no	—
1506	C₄	—	18	1	no	—
1507	C₄	—	18	1	no	—
1508	C₄	—	18	1	no	—
1509	C₄	—	18	1	no	—
1510	C₃	#86559	1	4	yes	complemented
1511	C₂	—	4	1	no	—
1512	C₂	—	4	1	no	—
1513	C₂	—	4	1	no	—
1514	C₂	—	18	2	no	—
1515	C₂	—	36	1	no	—
1516	C₂	—	36	1	no	—
1517	C₂	—	36	1	no	—
1518	C₂	—	36	1	no	—
1519	C₂	—	36	1	no	—
1520	C₂	#10596756	1	1	yes	characteristic
1521	C₂	C₃⋊D₃×H(5,𝔽₂)	1	1	yes	characteristic
1522	C₂	#10596760	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#542	C₂
hypercenter	#542	C₃⋊D₃
hypocenter	C₃²	#3533
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. C₃²×#542	C₂	semidirect
2. #10596206	C₂	semidirect
3. #10596197	C₂	semidirect
4. #10596182	C₂	semidirect
5. #10596179	C₂	semidirect
6. #10596178	C₂	semidirect
7. #10596175	C₂	semidirect
8. #10596155	C₂	semidirect
9. #10596149	C₂	semidirect
10. #10596149	C₂	semidirect
11. #10596147	C₂	semidirect
12. #10596145	C₂	semidirect
13. #10596140	C₂	semidirect
14. #10596134	C₂	semidirect
15. #10596132	C₂	semidirect
16. #10596125	C₂	semidirect
17. C₃⋊D₃×#123	C₂	semidirect
18. #10596118	C₂	semidirect
19. #10596109	C₂	semidirect
20. #10596108	C₂	semidirect
21. #10596108	C₂	semidirect
22. #10596102	C₂	semidirect
23. #10596098	C₂	semidirect
24. #10596086	C₂	semidirect
25. #10596076	C₂	semidirect
26. #10596056	C₂	semidirect
27. #10596052	C₂	semidirect
28. #10596031	C₂	semidirect
29. #10596018	C₂	semidirect
30. #10596001	C₂	semidirect
31. #10595998	C₂	semidirect
34. C₂×#3832	C₂²	semidirect
38. C₂²×C₄×C₃⋊D₃	C₂²	semidirect
39. C₃²×C₄⋊Q₈	C₂²	semidirect
40. C₃²×#126	C₂²	semidirect
41. C₃²×#126	C₂²	semidirect
42. C₃²×#124	C₂²	semidirect
43. C₃²×#124	C₂²	semidirect
44. C₃²×#124	C₂²	semidirect
45. C₃²×#123	C₂²	semidirect
46. C₃²×#123	C₂²	semidirect
47. C₃²×C₂²⋊Q₈	C₂²	semidirect
48. C₃²×C₂²⋊Q₈	C₂²	semidirect
49. C₃²×C₂²⋊Q₈	C₂²	semidirect
51. C₃²×C₄×Q₈	C₂²	semidirect
52. C₃²×C₄×D₄	C₂²	semidirect
53. C₃²×#117	C₂²	semidirect
55. #64156	C₂²	semidirect
56. #64156	C₂²	semidirect
57. #64155	C₂²	semidirect
58. #64155	C₂²	semidirect
59. #64155	C₂²	semidirect
60. #64155	C₂²	semidirect
61. #64155	C₂²	semidirect
62. #64155	C₂²	semidirect
63. #64153	C₂²	semidirect
64. #64149	C₂²	semidirect
67. #64148	C₂²	semidirect
68. #64148	C₂²	semidirect
69. #64148	C₂²	semidirect
70. #64147	C₂²	semidirect
73. #64144	C₂²	semidirect
75. #64139	C₂²	semidirect
77. #64138	C₂²	semidirect
78. C₄×#638	C₂²	semidirect
79. C₄×#638	C₂²	semidirect
80. C₄×#638	C₂²	semidirect
81. C₄×#638	C₂²	semidirect
83. C₂×#3752	C₂²	semidirect
84. #64107	C₂²	semidirect
85. #64107	C₂²	semidirect
86. #64107	C₂²	semidirect
87. #64107	C₂²	semidirect
88. #64106	C₂²	semidirect
89. #64105	C₂²	semidirect
90. #64105	C₂²	semidirect
91. #64105	C₂²	semidirect
93. #64104	C₂²	semidirect
94. #64104	C₂²	semidirect
95. #64104	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. #64102	C₂²	semidirect
110. #64102	C₂²	semidirect
111. #64102	C₂²	semidirect
112. #64102	C₂²	semidirect
113. #64101	C₂²	semidirect
114. #64101	C₂²	semidirect
115. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
116. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
117. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
118. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
119. #64099	C₂²	semidirect
120. #64098	C₂²	semidirect
121. #64098	C₂²	semidirect
122. #64098	C₂²	semidirect
123. #64098	C₂²	semidirect
125. #64095	C₂²	semidirect
126. #64095	C₂²	semidirect
127. #64094	C₂²	semidirect
128. #64094	C₂²	semidirect
132. #64093	C₂²	semidirect
133. #64093	C₂²	semidirect
134. #64093	C₂²	semidirect
135. #64093	C₂²	semidirect
136. #64093	C₂²	semidirect
137. #64093	C₂²	semidirect
138. #64093	C₂²	semidirect
139. #64093	C₂²	semidirect
143. #64092	C₂²	semidirect
144. #64092	C₂²	semidirect
145. #64092	C₂²	semidirect
146. #64092	C₂²	semidirect
147. #64092	C₂²	semidirect
148. #64092	C₂²	semidirect
153. #64091	C₂²	semidirect
154. #64091	C₂²	semidirect
155. #64091	C₂²	semidirect
156. #64091	C₂²	semidirect
158. #64090	C₂²	semidirect
159. #64090	C₂²	semidirect
160. #64090	C₂²	semidirect
163. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
164. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
165. #64088	C₂²	semidirect
166. #64088	C₂²	semidirect
167. #64087	C₂²	semidirect
168. #64087	C₂²	semidirect
169. #64087	C₂²	semidirect
170. #64086	C₂²	semidirect
171. #64086	C₂²	semidirect
172. #64085	C₂²	semidirect
173. #64085	C₂²	semidirect
174. #64085	C₂²	semidirect
175. #64085	C₂²	semidirect
176. #64084	C₂²	semidirect
177. #64084	C₂²	semidirect
180. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
181. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
182. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
183. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
184. #64081	C₂²	semidirect
185. #64081	C₂²	semidirect
186. #64079	C₂²	semidirect
187. C₄×#634	C₂²	semidirect
188. C₃×#542	D₃	semidirect
387. C₃×C₄⋊Q₈	C₂×D₃	semidirect
388. C₃×#126	C₂×D₃	semidirect
389. C₃×#126	C₂×D₃	semidirect
390. C₃×#124	C₂×D₃	semidirect
391. C₃×#124	C₂×D₃	semidirect
392. C₃×#124	C₂×D₃	semidirect
393. C₃×#123	C₂×D₃	semidirect
394. C₃×#123	C₂×D₃	semidirect
395. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
396. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
397. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
399. C₃×C₄×Q₈	C₂×D₃	semidirect
400. C₃×C₄×D₄	C₂×D₃	semidirect
401. C₃×#117	C₂×D₃	semidirect
647. #542	C₃⋊D₃	semidirect
882. C₄⋊Q₈	C₂×C₃⋊D₃	semidirect
895. #126	C₂×C₃⋊D₃	semidirect
896. #126	C₂×C₃⋊D₃	semidirect
910. #124	C₂×C₃⋊D₃	semidirect
911. #124	C₂×C₃⋊D₃	semidirect
912. #124	C₂×C₃⋊D₃	semidirect
941. #123	C₂×C₃⋊D₃	semidirect
942. #123	C₂×C₃⋊D₃	semidirect
956. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
957. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
958. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
994. C₄×Q₈	C₂×C₃⋊D₃	semidirect
1012. C₄×D₄	C₂×C₃⋊D₃	semidirect
1019. #117	C₂×C₃⋊D₃	semidirect
1350. C₃²	#3533	semidirect
1510. C₃	#86559	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#542	2
#10596206	2
#10596197	2
#10596182	2
#10596179	2
#10596178	2
#10596175	2
#10596155	2
#10596149	2
#10596147	2
#10596145	2
#10596140	2
#10596134	2
#10596132	2
#10596125	2
C₃⋊D₃×#123	2
#10596118	2
#10596109	2
#10596108	2
#10596102	2
#10596098	2
#10596086	2
#10596076	2
#10596056	2
#10596052	2
#10596031	2
#10596018	2
#10596001	2
#10595998	2
#86559	3