Subgroups — #11903435

Order 1152.

3396 conjugacy classes of subgroups.

The subgroup lattice has 1473 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596180	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596179	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596176	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596164	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596164	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596150	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596141	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596129	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596126	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596125	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596121	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596107	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596081	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596072	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596051	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596049	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596018	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596018	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×D₄×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596009	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596009	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#3830	C₂	1	1	yes	maximal, characteristic, complemented
26	#10595999	C₂	1	1	yes	maximal, characteristic, complemented
27	#10595999	C₂	1	1	yes	maximal, characteristic, complemented
28	#10595993	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃⋊D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#3828	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64081	C₂	1	1	yes	maximal, characteristic, complemented
32	#86150	—	3	4	no	maximal
33	C₂×#3830	C₂²	1	1	yes	characteristic
34	C₂×D₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
35	C₂×#3828	C₂²	1	1	yes	characteristic
36	C₂×#3828	C₂²	1	1	yes	characteristic
37	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
38	C₂²×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
39	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
43	C₃²×#123	C₂²	1	1	yes	characteristic
44	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
45	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#121	C₂²	1	1	yes	characteristic
47	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
54	#64156	C₂²	1	1	yes	characteristic, complemented
55	#64155	C₂²	1	1	yes	characteristic
56	#64155	C₂²	1	1	yes	characteristic, complemented
57	#64153	C₂²	1	1	yes	characteristic, complemented
58	#64148	C₂²	1	1	yes	characteristic
59	#64148	C₂²	1	1	yes	characteristic
60	#64148	C₂²	1	1	yes	characteristic, complemented
61	#64148	C₂²	1	1	yes	characteristic, complemented
62	#64146	C₂²	1	1	yes	characteristic
63	#64146	C₂²	1	1	yes	characteristic
64	#64144	C₂²	1	1	yes	characteristic
65	#64144	C₂²	1	1	yes	characteristic, complemented
66	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic
67	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
68	C₄×#638	C₂²	1	1	yes	characteristic
69	C₄×#638	C₂²	1	1	yes	characteristic
70	C₄×#638	C₂²	1	1	yes	characteristic
71	C₄×#638	C₂²	1	1	yes	characteristic, complemented
72	C₄×#638	C₂²	1	1	yes	characteristic, complemented
73	C₄×#638	C₂²	1	1	yes	characteristic, complemented
74	C₄×#638	C₂²	1	1	yes	characteristic, complemented
75	C₄×#638	C₂²	1	1	yes	characteristic, complemented
76	C₂×#3752	C₂²	1	1	yes	characteristic
77	C₂×#3752	C₂²	1	1	yes	characteristic
78	#64135	C₂²	1	1	yes	characteristic, complemented
79	#64135	C₂²	1	1	yes	characteristic, complemented
80	C₂×#3750	C₂²	1	1	yes	characteristic, complemented
81	C₂×#3750	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄×C₃⋊Dic₃	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	#64107	C₂²	1	1	yes	characteristic, complemented
89	#64107	C₂²	1	1	yes	characteristic, complemented
90	#64106	C₂²	1	1	yes	characteristic
91	#64105	C₂²	1	1	yes	characteristic
92	#64105	C₂²	1	1	yes	characteristic
93	#64105	C₂²	1	1	yes	characteristic, complemented
94	#64105	C₂²	1	1	yes	characteristic, complemented
95	#64105	C₂²	1	1	yes	characteristic, complemented
96	#64105	C₂²	1	1	yes	characteristic, complemented
97	#64104	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
102	#64103	C₂²	1	1	yes	characteristic, complemented
103	#64103	C₂²	1	1	yes	characteristic, complemented
104	#64102	C₂²	1	1	yes	characteristic
105	#64102	C₂²	1	1	yes	characteristic
106	#64102	C₂²	1	1	yes	characteristic
107	#64101	C₂²	1	1	yes	characteristic
108	#64101	C₂²	1	1	yes	characteristic
109	#64101	C₂²	1	1	yes	characteristic, complemented
110	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
111	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
112	C₄⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
113	#64099	C₂²	1	1	yes	characteristic, complemented
114	#64098	C₂²	1	1	yes	characteristic, complemented
115	#64098	C₂²	1	1	yes	characteristic, complemented
116	#64098	C₂²	1	1	yes	characteristic, complemented
117	#64098	C₂²	1	1	yes	characteristic, complemented
118	#64098	C₂²	1	1	yes	characteristic, complemented
119	#64098	C₂²	1	1	yes	characteristic, complemented
120	#64097	C₂²	1	1	yes	characteristic, complemented
121	#64096	C₂²	1	1	yes	characteristic, complemented
122	#64096	C₂²	1	1	yes	characteristic, complemented
123	#64096	C₂²	1	1	yes	characteristic, complemented
124	#64095	C₂²	1	1	yes	characteristic, complemented
125	#64095	C₂²	1	1	yes	characteristic, complemented
126	#64094	C₂²	1	1	yes	characteristic
127	#64094	C₂²	1	1	yes	characteristic
128	#64094	C₂²	1	1	yes	characteristic, complemented
129	#64094	C₂²	1	1	yes	characteristic, complemented
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	#64092	C₂²	1	1	yes	characteristic
135	#64092	C₂²	1	1	yes	characteristic
136	#64092	C₂²	1	1	yes	characteristic, complemented
137	#64092	C₂²	1	1	yes	characteristic, complemented
138	#64091	C₂²	1	1	yes	characteristic
139	#64091	C₂²	1	1	yes	characteristic
140	#64090	C₂²	1	1	yes	characteristic
141	#64090	C₂²	1	1	yes	characteristic
142	#64090	C₂²	1	1	yes	characteristic
143	#64090	C₂²	1	1	yes	characteristic
144	#64090	C₂²	1	1	yes	characteristic
145	#64090	C₂²	1	1	yes	characteristic, complemented
146	#64090	C₂²	1	1	yes	characteristic, complemented
147	#64090	C₂²	1	1	yes	characteristic, complemented
148	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
152	#64088	C₂²	1	1	yes	characteristic, complemented
153	#64088	C₂²	1	1	yes	characteristic, complemented
154	#64088	C₂²	1	1	yes	characteristic, complemented
155	#64088	C₂²	1	1	yes	characteristic, complemented
156	#64087	C₂²	1	1	yes	characteristic, complemented
157	#64087	C₂²	1	1	yes	characteristic, complemented
158	#64087	C₂²	1	1	yes	characteristic, complemented
159	#64087	C₂²	1	1	yes	characteristic, complemented
160	#64086	C₂²	1	1	yes	characteristic, complemented
161	#64086	C₂²	1	1	yes	characteristic, complemented
162	#64086	C₂²	1	1	yes	characteristic, complemented
163	#64086	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
165	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
168	#64081	C₂²	1	1	yes	characteristic
169	#64081	C₂²	1	1	yes	characteristic
170	#64081	C₂²	1	1	yes	characteristic
171	#64081	C₂²	1	1	yes	characteristic
172	#64081	C₂²	1	1	yes	characteristic
173	#64081	C₂²	1	1	yes	characteristic, complemented
174	#64081	C₂²	1	1	yes	characteristic, complemented
175	#64081	C₂²	1	1	yes	characteristic, complemented
176	#64081	C₂²	1	1	yes	characteristic, complemented
177	#64081	C₂²	1	1	yes	characteristic, complemented
178	#64081	C₂²	1	1	yes	characteristic, complemented
179	#64081	C₂²	1	1	yes	characteristic, complemented
180	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic
181	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
182	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
183	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×#634	C₂²	1	1	yes	characteristic, complemented
185	C₄×#634	C₂²	1	1	yes	characteristic, complemented
186	C₄×#634	C₂²	1	1	yes	characteristic, complemented
187	C₄×#634	C₂²	1	1	yes	characteristic, complemented
188	C₃×#529	D₃	1	4	yes	complemented
189	#5709	—	3	4	no	—
190	#5708	—	3	4	no	—
191	#5705	—	3	4	no	—
192	#5702	—	3	4	no	—
193	#5693	—	3	4	no	—
194	#5693	—	3	4	no	—
195	#5679	—	3	4	no	—
196	#5670	—	3	4	no	—
197	#5658	—	3	4	no	—
198	#5655	—	3	4	no	—
199	#5654	—	3	4	no	—
200	#5650	—	3	4	no	—
201	#5637	—	3	4	no	—
202	#5636	—	3	4	no	—
203	#5610	—	3	4	no	—
204	#5601	—	3	4	no	—
205	#5580	—	3	4	no	—
206	#5578	—	3	4	no	—
207	#5547	—	3	4	no	—
208	#5547	—	3	4	no	—
209	C₄×D₃×D₄	—	3	4	no	—
210	#5538	—	3	4	no	—
211	#5538	—	3	4	no	—
212	C₄×#237	—	3	4	no	—
213	#5528	—	3	4	no	—
214	#5528	—	3	4	no	—
215	#5522	—	3	4	no	—
216	D₃×#117	—	3	4	no	—
217	C₄×#235	—	3	4	no	—
218	C₂×#872	—	3	4	no	—
219	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
220	C₂³×C₃⋊D₃	C₂³	1	1	yes	characteristic
221	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₃²×D₄	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	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
230	C₂×#638	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	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
239	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
240	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
241	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
242	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
243	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
244	#3830	—	2	4	no	—
245	D₄×C₃⋊D₃	—	2	4	no	—
246	#3828	—	2	4	no	—
247	#3828	—	2	4	no	—
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	—	2	4	no	—
253	C₂×C₄×C₃⋊D₃	—	2	4	no	—
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	C₂³	1	1	yes	characteristic
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×#634	C₂³	1	1	yes	characteristic
271	C₂×#634	C₂³	1	1	yes	characteristic
272	C₂×#634	C₂³	1	1	yes	characteristic
273	C₂×#634	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×C₄⋊C₄	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×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₃²×C₂²⋊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×C₄²	C₂³	1	1	yes	characteristic
295	C₃²×C₄²	C₂³	1	1	yes	characteristic
296	C₃²×C₄²	C₂³	1	1	yes	characteristic
297	C₃²×C₄²	C₂³	1	1	yes	characteristic
298	C₃²×C₄²	C₂³	1	1	yes	characteristic
299	C₃²×C₄²	C₂³	1	1	yes	characteristic
300	#3757	C₂³	1	1	yes	characteristic
301	#3757	C₂³	1	1	yes	characteristic
302	#3757	C₂³	1	1	yes	characteristic
303	#3757	C₂³	1	1	yes	characteristic
304	#3757	C₂³	1	1	yes	characteristic
305	#3757	C₂³	1	1	yes	characteristic
306	#3757	C₂³	1	1	yes	characteristic
307	#3757	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	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₃⋊Dic₃)	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	#3750	C₂³	1	1	yes	characteristic
341	#3750	C₂³	1	1	yes	characteristic
342	#3750	C₂³	1	1	yes	characteristic
343	#3750	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	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
365	C₄×C₃⋊Dic₃	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	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	#3475	—	9	1	no	Sylow
381	C₂×#237	—	3	4	no	—
382	C₂×D₃×D₄	—	3	4	no	—
383	C₂×#235	—	3	4	no	—
384	C₂×#235	—	3	4	no	—
385	C₂²×C₄×D₃	—	3	4	no	—
386	C₂²×C₄×D₃	—	3	4	no	—
387	C₃×#126	C₂×D₃	1	4	yes	complemented
388	C₃×#126	C₂×D₃	1	4	yes	complemented
389	C₃×#125	C₂×D₃	1	4	yes	complemented
390	C₃×#124	C₂×D₃	1	4	yes	complemented
391	C₃×#123	C₂×D₃	1	4	yes	—
392	C₃×#123	C₂×D₃	1	4	yes	complemented
393	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
394	C₃×#121	C₂×D₃	1	4	yes	—
395	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
396	C₃×C₄×D₄	C₂×D₃	1	4	yes	—
397	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
398	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
399	C₃×#117	C₂×D₃	1	4	yes	complemented
400	C₃×#117	C₂×D₃	1	4	yes	complemented
401	C₂×C₃×C₄²	C₂×D₃	1	4	yes	complemented
402	#947	—	3	4	no	—
403	#946	—	3	4	no	—
404	#946	—	3	4	no	—
405	#944	—	3	4	no	—
406	#939	—	3	4	no	—
407	#939	—	3	4	no	—
408	#939	—	3	4	no	—
409	#939	—	3	4	no	—
410	#937	—	3	4	no	—
411	#937	—	3	4	no	—
412	#935	—	3	4	no	—
413	#935	—	3	4	no	—
414	D₄×Dic₃	—	3	4	no	—
415	D₄×Dic₃	—	3	4	no	—
416	C₄×#67	—	3	4	no	—
417	C₄×#67	—	3	4	no	—
418	C₄×#67	—	3	4	no	—
419	C₄×#67	—	3	4	no	—
420	C₄×#67	—	3	4	no	—
421	C₄×#67	—	3	4	no	—
422	C₄×#67	—	3	4	no	—
423	C₄×#67	—	3	4	no	—
424	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
425	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
426	#926	—	3	4	no	—
427	#926	—	3	4	no	—
428	C₂×Dic₃⋊C₄	—	3	4	no	—
429	C₂×Dic₃⋊C₄	—	3	4	no	—
430	C₂×C₄×Dic₃	—	3	4	no	—
431	C₂×C₄×Dic₃	—	3	4	no	—
432	#898	—	3	4	no	—
433	#898	—	3	4	no	—
434	#898	—	3	4	no	—
435	#898	—	3	4	no	—
436	#898	—	3	4	no	—
437	#898	—	3	4	no	—
438	#897	—	3	4	no	—
439	#896	—	3	4	no	—
440	#896	—	3	4	no	—
441	#896	—	3	4	no	—
442	#896	—	3	4	no	—
443	#896	—	3	4	no	—
444	#896	—	3	4	no	—
445	#895	—	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	#893	—	3	4	no	—
453	#893	—	3	4	no	—
454	#893	—	3	4	no	—
455	#892	—	3	4	no	—
456	#892	—	3	4	no	—
457	#892	—	3	4	no	—
458	D₃×C₄⋊C₄	—	3	4	no	—
459	D₃×C₄⋊C₄	—	3	4	no	—
460	D₃×C₄⋊C₄	—	3	4	no	—
461	#890	—	3	4	no	—
462	#889	—	3	4	no	—
463	#889	—	3	4	no	—
464	#889	—	3	4	no	—
465	#889	—	3	4	no	—
466	#889	—	3	4	no	—
467	#889	—	3	4	no	—
468	#888	—	3	4	no	—
469	#887	—	3	4	no	—
470	#887	—	3	4	no	—
471	#887	—	3	4	no	—
472	#886	—	3	4	no	—
473	#886	—	3	4	no	—
474	#885	—	3	4	no	—
475	#885	—	3	4	no	—
476	#885	—	3	4	no	—
477	#885	—	3	4	no	—
478	#884	—	3	4	no	—
479	#884	—	3	4	no	—
480	#884	—	3	4	no	—
481	#884	—	3	4	no	—
482	#883	—	3	4	no	—
483	#883	—	3	4	no	—
484	#883	—	3	4	no	—
485	#883	—	3	4	no	—
486	#882	—	3	4	no	—
487	#882	—	3	4	no	—
488	#67⋊C₄	—	3	4	no	—
489	#67⋊C₄	—	3	4	no	—
490	#67⋊C₄	—	3	4	no	—
491	#67⋊C₄	—	3	4	no	—
492	#67⋊C₄	—	3	4	no	—
493	#67⋊C₄	—	3	4	no	—
494	#67⋊C₄	—	3	4	no	—
495	#67⋊C₄	—	3	4	no	—
496	D₃×C₂²⋊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	#879	—	3	4	no	—
501	#879	—	3	4	no	—
502	#879	—	3	4	no	—
503	#879	—	3	4	no	—
504	#878	—	3	4	no	—
505	#878	—	3	4	no	—
506	#878	—	3	4	no	—
507	#878	—	3	4	no	—
508	#877	—	3	4	no	—
509	#877	—	3	4	no	—
510	#877	—	3	4	no	—
511	#877	—	3	4	no	—
512	C₄×D₁₂	—	3	4	no	—
513	C₄×D₁₂	—	3	4	no	—
514	C₄×D₁₂	—	3	4	no	—
515	C₄×D₁₂	—	3	4	no	—
516	#872	—	3	4	no	—
517	#872	—	3	4	no	—
518	#872	—	3	4	no	—
519	#872	—	3	4	no	—
520	#872	—	3	4	no	—
521	#872	—	3	4	no	—
522	#872	—	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	C₄²×D₃	—	3	4	no	—
529	C₄²×D₃	—	3	4	no	—
530	C₄²×D₃	—	3	4	no	—
531	C₄²×D₃	—	3	4	no	—
532	C₄×Dic₆	—	3	4	no	—
533	C₄×Dic₆	—	3	4	no	—
534	C₄×Dic₆	—	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	—	2	2	no	—
542	C₂²×C₃⋊D₃	—	2	2	no	—
543	C₂²×C₃⋊D₃	—	4	1	no	—
544	C₂²×C₃⋊D₃	—	4	1	no	—
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	C₃²×D₄	—	2	2	no	—
552	C₃²×D₄	—	4	1	no	—
553	C₂×C₃²×C₄	—	2	2	no	—
554	C₂×C₃²×C₄	—	2	2	no	—
555	C₂×C₃²×C₄	—	2	2	no	—
556	C₂×C₃²×C₄	—	2	2	no	—
557	C₂×C₃²×C₄	—	4	1	no	—
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	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
570	#638	—	2	2	no	—
571	#638	—	2	2	no	—
572	#638	—	2	2	no	—
573	#638	—	2	2	no	—
574	#638	—	2	2	no	—
575	#638	—	4	1	no	—
576	#638	—	4	1	no	—
577	#638	#41	1	4	yes	complemented
578	C₂×C₃⋊Dic₃	—	2	2	no	—
579	C₂×C₃⋊Dic₃	—	2	2	no	—
580	C₂×C₃⋊Dic₃	—	2	2	no	—
581	C₂×C₃⋊Dic₃	—	2	2	no	—
582	C₂×C₃⋊Dic₃	—	4	1	no	—
583	C₂×C₃⋊Dic₃	—	4	1	no	—
584	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊(C₃⋊D₃)	—	2	2	no	—
597	C₄⋊(C₃⋊D₃)	—	2	2	no	—
598	C₄⋊(C₃⋊D₃)	—	2	2	no	—
599	C₄⋊(C₃⋊D₃)	—	4	1	no	—
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	—	2	2	no	—
604	C₄×C₃⋊D₃	—	2	2	no	—
605	C₄×C₃⋊D₃	—	2	2	no	—
606	C₄×C₃⋊D₃	—	2	2	no	—
607	C₄×C₃⋊D₃	—	2	2	no	—
608	C₄×C₃⋊D₃	—	2	2	no	—
609	C₄×C₃⋊D₃	—	2	2	no	—
610	C₄×C₃⋊D₃	—	2	2	no	—
611	C₄×C₃⋊D₃	—	4	1	no	—
612	C₄×C₃⋊D₃	—	4	1	no	—
613	C₄×C₃⋊D₃	—	4	1	no	—
614	C₄×C₃⋊D₃	—	4	1	no	—
615	C₄×C₃⋊D₃	#41	1	4	yes	complemented
616	#634	—	2	2	no	—
617	#634	—	2	2	no	—
618	#634	—	2	2	no	—
619	#634	—	4	1	no	—
620	#556	—	9	1	no	—
621	#555	—	9	1	no	—
622	#554	—	9	1	no	—
623	#553	—	9	1	no	—
624	#553	—	9	1	no	—
625	#552	—	9	1	no	—
626	#552	—	9	1	no	—
627	#552	—	9	1	no	—
628	#552	—	9	1	no	—
629	#551	—	9	1	no	—
630	#551	—	9	1	no	—
631	#551	—	9	1	no	—
632	#551	—	9	1	no	—
633	#547	—	9	1	no	—
634	#546	—	9	1	no	—
635	#546	—	9	1	no	—
636	#533	—	9	1	no	—
637	#529	—	9	1	no	—
638	#529	—	9	1	no	—
639	#529	—	9	1	no	—
640	#529	—	9	1	no	—
641	#529	—	9	1	no	—
642	#529	C₃⋊D₃	1	1	yes	characteristic, complemented
643	#525	—	9	1	no	—
644	#525	—	9	1	no	—
645	C₄×#41	—	9	1	no	—
646	C₄×#41	—	9	1	no	—
647	C₄×#41	—	9	1	no	—
648	C₂×C₄×D₄	—	9	1	no	—
649	C₂×#117	—	9	1	no	—
650	C₂×#117	—	9	1	no	—
651	C₂³×D₃	—	3	4	no	—
652	C₂³×D₃	—	3	4	no	—
653	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
654	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
655	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
656	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
657	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
658	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
659	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
660	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
661	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
662	C₂×#67	—	3	4	no	—
663	C₂×#67	—	3	4	no	—
664	C₂×#67	—	3	4	no	—
665	C₂×#67	—	3	4	no	—
666	C₂×#67	—	3	4	no	—
667	C₂×#67	—	3	4	no	—
668	C₂×#67	—	3	4	no	—
669	C₂×#67	—	3	4	no	—
670	C₂²×Dic₃	—	3	4	no	—
671	C₂²×Dic₃	—	3	4	no	—
672	C₂²×Dic₃	—	3	4	no	—
673	C₂²×Dic₃	—	3	4	no	—
674	C₂²×Dic₃	—	3	4	no	—
675	C₂²×Dic₃	—	3	4	no	—
676	#237	—	6	16	no	—
677	D₃×D₄	—	6	16	no	—
678	#235	—	6	16	no	—
679	#235	—	6	16	no	—
680	C₂×D₁₂	—	3	4	no	—
681	C₂×D₁₂	—	3	4	no	—
682	C₂×D₁₂	—	3	4	no	—
683	C₂×D₁₂	—	3	4	no	—
684	C₂×C₄×D₃	—	3	4	no	—
685	C₂×C₄×D₃	—	3	4	no	—
686	C₂×C₄×D₃	—	3	4	no	—
687	C₂×C₄×D₃	—	3	4	no	—
688	C₂×C₄×D₃	—	3	4	no	—
689	C₂×C₄×D₃	—	3	4	no	—
690	C₂×C₄×D₃	—	3	4	no	—
691	C₂×C₄×D₃	—	3	4	no	—
692	C₂×C₄×D₃	—	3	4	no	—
693	C₂×C₄×D₃	—	3	4	no	—
694	C₂×C₄×D₃	—	3	4	no	—
695	C₂×C₄×D₃	—	3	4	no	—
696	C₂×C₄×D₃	—	3	4	no	—
697	C₂×C₄×D₃	—	3	4	no	—
698	C₂×C₄×D₃	—	3	4	no	—
699	C₂×C₄×D₃	—	3	4	no	—
700	C₂×C₄×D₃	—	6	16	no	—
701	C₂×C₄×D₃	—	6	16	no	—
702	C₂×Dic₆	—	3	4	no	—
703	C₂×Dic₆	—	3	4	no	—
704	C₂×Dic₆	—	3	4	no	—
705	C₂×Dic₆	—	3	4	no	—
706	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
707	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
708	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
709	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
710	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
711	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
712	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
713	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
714	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
715	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
716	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
717	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
718	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
719	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
720	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
721	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
722	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
723	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
724	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
725	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
726	C₃×C₄²	C₂²×D₃	1	4	yes	—
727	C₃×C₄²	C₂²×D₃	1	4	yes	—
728	C₃×C₄²	C₂²×D₃	1	4	yes	—
729	C₃×C₄²	C₂²×D₃	1	4	yes	—
730	C₃×C₄²	C₂²×D₃	1	4	yes	—
731	C₃×C₄²	C₂²×D₃	1	4	yes	—
732	#217	—	3	4	no	—
733	#217	—	3	4	no	—
734	#217	—	3	4	no	—
735	#217	—	3	4	no	—
736	#217	—	3	4	no	—
737	#217	—	3	4	no	—
738	#217	—	3	4	no	—
739	#217	—	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	(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	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	C₄⋊Dic₃	—	3	4	no	—
770	C₄⋊Dic₃	—	3	4	no	—
771	C₄⋊Dic₃	—	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	Dic₃⋊C₄	—	3	4	no	—
792	Dic₃⋊C₄	—	3	4	no	—
793	Dic₃⋊C₄	—	3	4	no	—
794	Dic₃⋊C₄	—	3	4	no	—
795	Dic₃⋊C₄	—	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	C₄×Dic₃	—	3	4	no	—
803	C₄×Dic₃	—	3	4	no	—
804	C₄×Dic₃	—	3	4	no	—
805	C₄×Dic₃	—	3	4	no	—
806	C₄×Dic₃	—	3	4	no	—
807	C₄×Dic₃	—	3	4	no	—
808	C₄×Dic₃	—	3	4	no	—
809	C₄×Dic₃	—	3	4	no	—
810	C₄×Dic₃	—	3	4	no	—
811	C₄×Dic₃	—	3	4	no	—
812	C₂²×C₃²	—	2	1	no	—
813	C₂²×C₃²	—	2	1	no	—
814	C₂²×C₃²	—	2	1	no	—
815	C₂²×C₃²	—	2	1	no	—
816	C₂²×C₃²	—	2	1	no	—
817	C₂²×C₃²	—	2	1	no	—
818	C₂²×C₃²	—	2	1	no	—
819	C₂²×C₃²	—	2	1	no	—
820	C₂²×C₃²	C₂×#41	1	2	yes	—
821	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
822	C₂×C₃⋊D₃	—	2	1	no	—
823	C₂×C₃⋊D₃	—	2	1	no	—
824	C₂×C₃⋊D₃	—	2	1	no	—
825	C₂×C₃⋊D₃	—	2	1	no	—
826	C₂×C₃⋊D₃	—	2	1	no	—
827	C₂×C₃⋊D₃	—	2	1	no	—
828	C₂×C₃⋊D₃	—	2	1	no	—
829	C₂×C₃⋊D₃	—	2	1	no	—
830	C₂×C₃⋊D₃	—	2	1	no	—
831	C₂×C₃⋊D₃	—	2	1	no	—
832	C₂×C₃⋊D₃	—	4	4	no	—
833	C₂×C₃⋊D₃	—	4	4	no	—
834	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
835	C₂×C₃⋊D₃	C₂×#41	1	2	yes	—
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	C₃²×C₄	—	2	1	no	—
841	C₃²×C₄	—	2	1	no	—
842	C₃²×C₄	—	2	1	no	—
843	C₃²×C₄	—	2	1	no	—
844	C₃²×C₄	—	2	1	no	—
845	C₃²×C₄	—	2	1	no	—
846	C₃²×C₄	—	2	1	no	—
847	C₃²×C₄	C₂×#41	1	2	yes	—
848	C₃⋊Dic₃	—	2	1	no	—
849	C₃⋊Dic₃	—	2	1	no	—
850	C₃⋊Dic₃	—	2	1	no	—
851	C₃⋊Dic₃	—	2	1	no	—
852	C₃⋊Dic₃	—	2	1	no	—
853	C₃⋊Dic₃	—	2	1	no	—
854	C₃⋊Dic₃	—	2	1	no	—
855	C₃⋊Dic₃	—	2	1	no	—
856	C₃⋊Dic₃	—	2	1	no	—
857	C₃⋊Dic₃	—	2	1	no	—
858	C₃⋊Dic₃	C₂×#41	1	2	yes	—
859	C₃⋊Dic₃	C₂×#41	1	2	yes	—
860	C₂×#41	—	9	1	no	—
861	C₂×#41	—	9	1	no	—
862	C₂×#41	—	9	1	no	—
863	C₂²×D₄	—	9	1	no	—
864	C₂³×C₄	—	9	1	no	—
865	C₂³×C₄	—	9	1	no	—
866	C₄⋊Q₈	—	9	1	no	—
867	C₄⋊Q₈	—	9	1	no	—
868	#126	—	9	1	no	—
869	#126	—	9	1	no	—
870	#126	—	9	1	no	—
871	#126	—	9	1	no	—
872	#126	—	9	1	no	—
873	#126	—	9	1	no	—
874	#126	—	9	1	no	—
875	#126	—	9	1	no	—
876	#126	—	9	1	no	—
877	#126	—	9	1	no	—
878	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
879	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
880	#125	—	9	1	no	—
881	#125	—	9	1	no	—
882	#125	—	9	1	no	—
883	#125	—	9	1	no	—
884	#125	—	9	1	no	—
885	#125	—	9	1	no	—
886	#125	—	9	1	no	—
887	#125	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
888	#124	—	9	1	no	—
889	#124	—	9	1	no	—
890	#124	—	9	1	no	—
891	#124	—	9	1	no	—
892	#124	—	9	1	no	—
893	#124	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	C₂×C₃⋊D₃	1	1	yes	characteristic
909	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
910	C₂²⋊Q₈	—	9	1	no	—
911	C₂²⋊Q₈	—	9	1	no	—
912	C₂²⋊Q₈	—	9	1	no	—
913	C₂²⋊Q₈	—	9	1	no	—
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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
924	#121	—	9	1	no	—
925	#121	—	9	1	no	—
926	#121	—	9	1	no	—
927	#121	—	9	1	no	—
928	#121	—	9	1	no	—
929	#121	—	9	1	no	—
930	#121	—	9	1	no	—
931	#121	—	9	1	no	—
932	#121	—	9	1	no	—
933	#121	C₂×C₃⋊D₃	1	1	yes	characteristic
934	#120	—	9	1	no	—
935	#120	—	9	1	no	—
936	#120	—	9	1	no	—
937	#120	—	9	1	no	—
938	C₄×Q₈	—	9	1	no	—
939	C₄×Q₈	—	9	1	no	—
940	C₄×Q₈	—	9	1	no	—
941	C₄×Q₈	—	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	—	9	1	no	—
966	C₄×D₄	—	9	1	no	—
967	C₄×D₄	—	9	1	no	—
968	C₄×D₄	—	9	1	no	—
969	C₄×D₄	—	9	1	no	—
970	C₄×D₄	—	9	1	no	—
971	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic
972	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
973	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
984	#117	—	9	1	no	—
985	#117	—	9	1	no	—
986	#117	—	9	1	no	—
987	#117	—	9	1	no	—
988	#117	—	9	1	no	—
989	#117	—	9	1	no	—
990	#117	—	9	1	no	—
991	#117	—	9	1	no	—
992	#117	—	9	1	no	—
993	#117	—	9	1	no	—
994	#117	—	9	1	no	—
995	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
996	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
997	C₂×C₄⋊C₄	—	9	1	no	—
998	C₂×C₄⋊C₄	—	9	1	no	—
999	C₂×C₄⋊C₄	—	9	1	no	—
1000	C₂×C₄⋊C₄	—	9	1	no	—
1001	C₂×C₄⋊C₄	—	9	1	no	—
1002	C₂×C₂²⋊C₄	—	9	1	no	—
1003	C₂×C₂²⋊C₄	—	9	1	no	—
1004	C₂×C₂²⋊C₄	—	9	1	no	—
1005	C₂×C₂²⋊C₄	—	9	1	no	—
1006	C₂×C₂²⋊C₄	—	9	1	no	—
1007	C₂×C₂²⋊C₄	—	9	1	no	—
1008	C₂×C₄²	—	9	1	no	—
1009	C₂×C₄²	—	9	1	no	—
1010	C₂×C₄²	—	9	1	no	—
1011	C₂×C₄²	—	9	1	no	—
1012	C₂×C₄²	—	9	1	no	—
1013	C₂×C₄²	—	9	1	no	—
1014	C₂×C₄²	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
1015	C₂³×C₃	C₂³×D₃	1	4	yes	—
1016	C₂³×C₃	C₂³×D₃	1	4	yes	—
1017	C₂³×C₃	C₂³×D₃	1	4	yes	—
1018	C₂²×D₃	—	3	4	no	—
1019	C₂²×D₃	—	3	4	no	—
1020	C₂²×D₃	—	3	4	no	—
1021	C₂²×D₃	—	3	4	no	—
1022	C₂²×D₃	—	6	8	no	—
1023	C₂²×D₃	—	6	8	no	—
1024	C₂²×D₃	—	6	8	no	—
1025	C₂²×D₃	—	6	8	no	—
1026	C₂²×D₃	—	12	4	no	—
1027	C₂²×D₃	—	12	4	no	—
1028	C₃×Q₈	—	4	4	no	—
1029	C₃×D₄	—	2	8	no	—
1030	C₃×D₄	—	2	8	no	—
1031	C₃×D₄	—	4	4	no	—
1032	C₂×C₃×C₄	—	2	8	no	—
1033	C₂×C₃×C₄	—	2	8	no	—
1034	C₂×C₃×C₄	—	2	8	no	—
1035	C₂×C₃×C₄	—	2	8	no	—
1036	C₂×C₃×C₄	—	4	4	no	—
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	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1042	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1043	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1044	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1045	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1046	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1047	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1048	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1049	#67	—	3	16	no	—
1050	#67	—	6	8	no	—
1051	#67	—	6	8	no	—
1052	#67	—	6	8	no	—
1053	#67	—	6	8	no	—
1054	#67	—	6	8	no	—
1055	#67	—	12	4	no	—
1056	#67	—	12	4	no	—
1057	C₂×Dic₃	—	3	4	no	—
1058	C₂×Dic₃	—	3	4	no	—
1059	C₂×Dic₃	—	3	4	no	—
1060	C₂×Dic₃	—	3	4	no	—
1061	C₂×Dic₃	—	3	4	no	—
1062	C₂×Dic₃	—	3	4	no	—
1063	C₂×Dic₃	—	3	4	no	—
1064	C₂×Dic₃	—	3	4	no	—
1065	C₂×Dic₃	—	3	4	no	—
1066	C₂×Dic₃	—	3	4	no	—
1067	C₂×Dic₃	—	3	4	no	—
1068	C₂×Dic₃	—	3	4	no	—
1069	C₂×Dic₃	—	6	8	no	—
1070	C₂×Dic₃	—	6	8	no	—
1071	C₂×Dic₃	—	6	8	no	—
1072	C₂×Dic₃	—	6	8	no	—
1073	C₂×Dic₃	—	12	4	no	—
1074	C₂×Dic₃	—	12	4	no	—
1075	D₁₂	—	6	8	no	—
1076	D₁₂	—	6	8	no	—
1077	D₁₂	—	6	8	no	—
1078	D₁₂	—	12	4	no	—
1079	C₄×D₃	—	3	16	no	—
1080	C₄×D₃	—	6	8	no	—
1081	C₄×D₃	—	6	8	no	—
1082	C₄×D₃	—	6	8	no	—
1083	C₄×D₃	—	6	8	no	—
1084	C₄×D₃	—	6	8	no	—
1085	C₄×D₃	—	6	8	no	—
1086	C₄×D₃	—	6	8	no	—
1087	C₄×D₃	—	6	8	no	—
1088	C₄×D₃	—	6	8	no	—
1089	C₄×D₃	—	6	8	no	—
1090	C₄×D₃	—	6	8	no	—
1091	C₄×D₃	—	12	4	no	—
1092	C₄×D₃	—	12	4	no	—
1093	C₄×D₃	—	12	4	no	—
1094	C₄×D₃	—	12	4	no	—
1095	Dic₆	—	6	8	no	—
1096	Dic₆	—	6	8	no	—
1097	Dic₆	—	6	8	no	—
1098	Dic₆	—	12	4	no	—
1099	C₂×C₃²	—	2	2	no	—
1100	C₂×C₃²	—	4	1	no	—
1101	C₂×C₃²	—	4	1	no	—
1102	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1103	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1104	C₂×C₃²	#585	1	1	yes	characteristic
1105	C₃⋊D₃	—	2	2	no	—
1106	C₃⋊D₃	—	2	2	no	—
1107	C₃⋊D₃	—	4	1	no	—
1108	C₃⋊D₃	—	4	1	no	—
1109	C₂⁴	—	9	1	no	—
1110	C₂⁴	—	9	1	no	—
1111	#41	—	18	4	no	—
1112	#41	—	18	4	no	—
1113	#41	—	18	4	no	—
1114	C₂×Q₈	—	9	1	no	—
1115	C₂×Q₈	—	9	1	no	—
1116	C₂×Q₈	—	9	1	no	—
1117	C₂×Q₈	—	9	1	no	—
1118	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1119	C₂×D₄	—	9	1	no	—
1120	C₂×D₄	—	9	1	no	—
1121	C₂×D₄	—	9	1	no	—
1122	C₂×D₄	—	9	1	no	—
1123	C₂×D₄	—	9	1	no	—
1124	C₂×D₄	—	9	1	no	—
1125	C₂×D₄	—	9	1	no	—
1126	C₂×D₄	—	9	1	no	—
1127	C₂×D₄	—	9	1	no	—
1128	C₂×D₄	—	9	1	no	—
1129	C₂×D₄	—	9	1	no	—
1130	C₂×D₄	—	9	1	no	—
1131	C₂×D₄	—	18	4	no	—
1132	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1133	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1134	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1135	C₂²×C₄	—	9	1	no	—
1136	C₂²×C₄	—	9	1	no	—
1137	C₂²×C₄	—	9	1	no	—
1138	C₂²×C₄	—	9	1	no	—
1139	C₂²×C₄	—	9	1	no	—
1140	C₂²×C₄	—	9	1	no	—
1141	C₂²×C₄	—	9	1	no	—
1142	C₂²×C₄	—	9	1	no	—
1143	C₂²×C₄	—	9	1	no	—
1144	C₂²×C₄	—	9	1	no	—
1145	C₂²×C₄	—	9	1	no	—
1146	C₂²×C₄	—	9	1	no	—
1147	C₂²×C₄	—	9	1	no	—
1148	C₂²×C₄	—	9	1	no	—
1149	C₂²×C₄	—	9	1	no	—
1150	C₂²×C₄	—	9	1	no	—
1151	C₂²×C₄	—	9	1	no	—
1152	C₂²×C₄	—	9	1	no	—
1153	C₂²×C₄	—	9	1	no	—
1154	C₂²×C₄	—	9	1	no	—
1155	C₂²×C₄	—	9	1	no	—
1156	C₂²×C₄	—	9	1	no	—
1157	C₂²×C₄	—	18	4	no	—
1158	C₂²×C₄	—	18	4	no	—
1159	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	—	9	1	no	—
1175	C₄⋊C₄	—	9	1	no	—
1176	C₄⋊C₄	—	9	1	no	—
1177	C₄⋊C₄	—	9	1	no	—
1178	C₄⋊C₄	—	9	1	no	—
1179	C₄⋊C₄	—	9	1	no	—
1180	C₄⋊C₄	—	9	1	no	—
1181	C₄⋊C₄	—	9	1	no	—
1182	C₄⋊C₄	—	9	1	no	—
1183	C₄⋊C₄	—	9	1	no	—
1184	C₄⋊C₄	—	9	1	no	—
1185	C₄⋊C₄	—	9	1	no	—
1186	C₄⋊C₄	—	9	1	no	—
1187	C₄⋊C₄	—	9	1	no	—
1188	C₄⋊C₄	—	9	1	no	—
1189	C₄⋊C₄	—	9	1	no	—
1190	C₄⋊C₄	—	9	1	no	—
1191	C₄⋊C₄	—	9	1	no	—
1192	C₄⋊C₄	—	9	1	no	—
1193	C₄⋊C₄	—	9	1	no	—
1194	C₄⋊C₄	—	9	1	no	—
1195	C₄⋊C₄	—	9	1	no	—
1196	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1197	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1199	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1200	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1201	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1202	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1203	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1204	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1205	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	—	9	1	no	—
1231	C₂²⋊C₄	—	9	1	no	—
1232	C₂²⋊C₄	—	9	1	no	—
1233	C₂²⋊C₄	—	9	1	no	—
1234	C₂²⋊C₄	—	9	1	no	—
1235	C₂²⋊C₄	—	9	1	no	—
1236	C₂²⋊C₄	—	9	1	no	—
1237	C₂²⋊C₄	—	9	1	no	—
1238	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1239	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1240	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1241	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1242	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1243	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1244	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1245	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1246	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1247	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1248	C₄²	—	9	1	no	—
1249	C₄²	—	9	1	no	—
1250	C₄²	—	9	1	no	—
1251	C₄²	—	9	1	no	—
1252	C₄²	—	9	1	no	—
1253	C₄²	—	9	1	no	—
1254	C₄²	—	9	1	no	—
1255	C₄²	—	9	1	no	—
1256	C₄²	—	9	1	no	—
1257	C₄²	—	9	1	no	—
1258	C₄²	—	9	1	no	—
1259	C₄²	—	9	1	no	—
1260	C₄²	—	9	1	no	—
1261	C₄²	—	9	1	no	—
1262	C₄²	—	9	1	no	—
1263	C₄²	—	9	1	no	—
1264	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1265	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1266	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1267	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1268	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1269	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1270	C₂²×C₃	—	2	4	no	—
1271	C₂²×C₃	—	2	4	no	—
1272	C₂²×C₃	—	2	4	no	—
1273	C₂²×C₃	—	2	4	no	—
1274	C₂²×C₃	—	2	4	no	—
1275	C₂²×C₃	—	2	4	no	—
1276	C₂²×C₃	—	2	4	no	—
1277	C₂²×C₃	—	2	4	no	—
1278	C₂²×C₃	D₃×#41	1	8	yes	—
1279	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1280	C₂×D₃	—	3	8	no	—
1281	C₂×D₃	—	3	8	no	—
1282	C₂×D₃	—	6	4	no	—
1283	C₂×D₃	—	6	4	no	—
1284	C₂×D₃	—	6	4	no	—
1285	C₂×D₃	—	6	4	no	—
1286	C₂×D₃	—	6	4	no	—
1287	C₂×D₃	—	6	4	no	—
1288	C₂×D₃	—	6	4	no	—
1289	C₂×D₃	—	6	4	no	—
1290	C₂×D₃	—	6	4	no	—
1291	C₂×D₃	—	6	4	no	—
1292	C₂×D₃	—	12	16	no	—
1293	C₂×D₃	—	12	16	no	—
1294	C₃×C₄	—	2	4	no	—
1295	C₃×C₄	—	2	4	no	—
1296	C₃×C₄	—	2	4	no	—
1297	C₃×C₄	—	2	4	no	—
1298	C₃×C₄	—	2	4	no	—
1299	C₃×C₄	—	2	4	no	—
1300	C₃×C₄	—	2	4	no	—
1301	C₃×C₄	—	2	4	no	—
1302	C₃×C₄	—	2	4	no	—
1303	C₃×C₄	—	2	4	no	—
1304	C₃×C₄	—	2	4	no	—
1305	C₃×C₄	D₃×#41	1	8	yes	—
1306	Dic₃	—	3	8	no	—
1307	Dic₃	—	3	8	no	—
1308	Dic₃	—	6	4	no	—
1309	Dic₃	—	6	4	no	—
1310	Dic₃	—	6	4	no	—
1311	Dic₃	—	6	4	no	—
1312	Dic₃	—	6	4	no	—
1313	Dic₃	—	6	4	no	—
1314	Dic₃	—	6	4	no	—
1315	Dic₃	—	6	4	no	—
1316	Dic₃	—	6	4	no	—
1317	Dic₃	—	6	4	no	—
1318	C₃²	#3475	1	1	yes	characteristic, complemented, Sylow
1319	C₂³	—	9	1	no	—
1320	C₂³	—	9	1	no	—
1321	C₂³	—	9	1	no	—
1322	C₂³	—	9	1	no	—
1323	C₂³	—	18	2	no	—
1324	C₂³	—	18	2	no	—
1325	C₂³	—	18	2	no	—
1326	C₂³	—	18	2	no	—
1327	C₂³	—	36	1	no	—
1328	C₂³	—	36	1	no	—
1329	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1330	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1331	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1332	Q₈	—	4	1	no	—
1333	Q₈	—	18	2	no	—
1334	Q₈	—	18	2	no	—
1335	Q₈	—	18	2	no	—
1336	Q₈	—	36	1	no	—
1337	D₄	—	2	2	no	—
1338	D₄	—	2	2	no	—
1339	D₄	—	4	1	no	—
1340	D₄	—	9	4	no	—
1341	D₄	—	18	2	no	—
1342	D₄	—	18	2	no	—
1343	D₄	—	18	2	no	—
1344	D₄	—	18	2	no	—
1345	D₄	—	18	2	no	—
1346	D₄	—	18	2	no	—
1347	D₄	—	18	2	no	—
1348	D₄	—	18	2	no	—
1349	D₄	—	36	1	no	—
1350	D₄	—	36	1	no	—
1351	D₄	—	36	1	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	4	1	no	—
1357	C₂×C₄	—	9	1	no	—
1358	C₂×C₄	—	9	1	no	—
1359	C₂×C₄	—	9	4	no	—
1360	C₂×C₄	—	9	1	no	—
1361	C₂×C₄	—	9	1	no	—
1362	C₂×C₄	—	9	1	no	—
1363	C₂×C₄	—	9	1	no	—
1364	C₂×C₄	—	9	1	no	—
1365	C₂×C₄	—	9	1	no	—
1366	C₂×C₄	—	9	1	no	—
1367	C₂×C₄	—	9	1	no	—
1368	C₂×C₄	—	9	1	no	—
1369	C₂×C₄	—	9	1	no	—
1370	C₂×C₄	—	18	2	no	—
1371	C₂×C₄	—	18	2	no	—
1372	C₂×C₄	—	18	2	no	—
1373	C₂×C₄	—	18	2	no	—
1374	C₂×C₄	—	18	2	no	—
1375	C₂×C₄	—	18	2	no	—
1376	C₂×C₄	—	18	2	no	—
1377	C₂×C₄	—	18	2	no	—
1378	C₂×C₄	—	18	2	no	—
1379	C₂×C₄	—	18	2	no	—
1380	C₂×C₄	—	18	2	no	—
1381	C₂×C₄	—	18	2	no	—
1382	C₂×C₄	—	18	2	no	—
1383	C₂×C₄	—	18	2	no	—
1384	C₂×C₄	—	18	2	no	—
1385	C₂×C₄	—	36	1	no	—
1386	C₂×C₄	—	36	1	no	—
1387	C₂×C₄	—	36	1	no	—
1388	C₂×C₄	—	36	1	no	—
1389	C₂×C₄	—	36	1	no	—
1390	C₂×C₄	—	36	1	no	—
1391	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1392	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1393	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1394	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1395	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1396	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1397	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1398	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1399	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1400	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1401	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1402	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1403	C₂×C₃	—	2	8	no	—
1404	C₂×C₃	—	4	4	no	—
1405	C₂×C₃	—	4	4	no	—
1406	C₂×C₃	C₂×D₃×#41	1	4	yes	—
1407	C₂×C₃	C₂×D₃×#41	1	4	yes	—
1408	C₂×C₃	#5964	1	4	yes	—
1409	D₃	—	6	8	no	—
1410	D₃	—	6	8	no	—
1411	D₃	—	12	4	no	—
1412	D₃	—	12	4	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	2	1	no	—
1416	C₂²	—	2	1	no	—
1417	C₂²	—	2	1	no	—
1418	C₂²	—	2	1	no	—
1419	C₂²	—	2	1	no	—
1420	C₂²	—	2	1	no	—
1421	C₂²	—	9	2	no	—
1422	C₂²	—	9	2	no	—
1423	C₂²	—	18	1	no	—
1424	C₂²	—	18	1	no	—
1425	C₂²	—	18	1	no	—
1426	C₂²	—	18	1	no	—
1427	C₂²	—	18	1	no	—
1428	C₂²	—	18	1	no	—
1429	C₂²	—	18	1	no	—
1430	C₂²	—	18	1	no	—
1431	C₂²	—	18	1	no	—
1432	C₂²	—	18	1	no	—
1433	C₂²	—	36	4	no	—
1434	C₂²	—	36	4	no	—
1435	C₂²	#41×C₃⋊D₃	1	2	yes	—
1436	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1437	C₄	—	2	1	no	—
1438	C₄	—	2	1	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	1	no	—
1443	C₄	—	2	1	no	—
1444	C₄	—	2	1	no	—
1445	C₄	—	2	1	no	—
1446	C₄	—	2	1	no	—
1447	C₄	—	2	1	no	—
1448	C₄	—	9	2	no	—
1449	C₄	—	9	2	no	—
1450	C₄	—	18	1	no	—
1451	C₄	—	18	1	no	—
1452	C₄	—	18	1	no	—
1453	C₄	—	18	1	no	—
1454	C₄	—	18	1	no	—
1455	C₄	—	18	1	no	—
1456	C₄	—	18	1	no	—
1457	C₄	—	18	1	no	—
1458	C₄	—	18	1	no	—
1459	C₄	—	18	1	no	—
1460	C₄	#41×C₃⋊D₃	1	2	yes	—
1461	C₃	#86150	1	4	yes	complemented
1462	C₂	—	2	2	no	—
1463	C₂	—	4	1	no	—
1464	C₂	—	4	1	no	—
1465	C₂	—	18	2	no	—
1466	C₂	—	18	2	no	—
1467	C₂	—	36	1	no	—
1468	C₂	—	36	1	no	—
1469	C₂	C₂×#41×C₃⋊D₃	1	1	yes	characteristic
1470	C₂	C₂×#41×C₃⋊D₃	1	1	yes	characteristic
1471	C₂	#10596756	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Frattini	C₂²	C₂⁴×C₃⋊D₃
Fitting	C₃²×#529	C₂
hypercenter	#529	C₃⋊D₃
hypocenter	C₃²	#3475
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂×C₄ ◁ #529

Complements

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

N	H ≅ G/N	type
1. C₃²×#529	C₂	semidirect
2. #10596180	C₂	semidirect
3. #10596179	C₂	semidirect
4. #10596176	C₂	semidirect
5. #10596173	C₂	semidirect
6. #10596164	C₂	semidirect
7. #10596164	C₂	semidirect
8. #10596150	C₂	semidirect
9. #10596141	C₂	semidirect
10. #10596129	C₂	semidirect
11. #10596126	C₂	semidirect
12. #10596125	C₂	semidirect
13. #10596121	C₂	semidirect
14. #10596108	C₂	semidirect
15. #10596107	C₂	semidirect
16. #10596081	C₂	semidirect
17. #10596072	C₂	semidirect
18. #10596051	C₂	semidirect
19. #10596049	C₂	semidirect
20. #10596018	C₂	semidirect
21. #10596018	C₂	semidirect
22. C₄×D₄×C₃⋊D₃	C₂	semidirect
23. #10596009	C₂	semidirect
24. #10596009	C₂	semidirect
25. C₄×#3830	C₂	semidirect
26. #10595999	C₂	semidirect
27. #10595999	C₂	semidirect
28. #10595993	C₂	semidirect
29. C₃⋊D₃×#117	C₂	semidirect
30. C₄×#3828	C₂	semidirect
31. C₂×#64081	C₂	semidirect
39. C₃²×#126	C₂²	semidirect
40. C₃²×#126	C₂²	semidirect
41. C₃²×#125	C₂²	semidirect
42. C₃²×#124	C₂²	semidirect
44. C₃²×#123	C₂²	semidirect
45. C₃²×C₂²⋊Q₈	C₂²	semidirect
47. C₃²×C₄×Q₈	C₂²	semidirect
49. C₃²×C₄×D₄	C₂²	semidirect
50. C₃²×C₄×D₄	C₂²	semidirect
51. C₃²×#117	C₂²	semidirect
52. C₃²×#117	C₂²	semidirect
53. C₂×C₃²×C₄²	C₂²	semidirect
54. #64156	C₂²	semidirect
56. #64155	C₂²	semidirect
57. #64153	C₂²	semidirect
60. #64148	C₂²	semidirect
61. #64148	C₂²	semidirect
65. #64144	C₂²	semidirect
67. D₄×C₃⋊Dic₃	C₂²	semidirect
71. C₄×#638	C₂²	semidirect
72. C₄×#638	C₂²	semidirect
73. C₄×#638	C₂²	semidirect
74. C₄×#638	C₂²	semidirect
75. C₄×#638	C₂²	semidirect
78. #64135	C₂²	semidirect
79. #64135	C₂²	semidirect
80. C₂×#3750	C₂²	semidirect
81. C₂×#3750	C₂²	semidirect
82. C₂×C₄×C₃⋊Dic₃	C₂²	semidirect
83. C₂×C₄×C₃⋊Dic₃	C₂²	semidirect
84. #64107	C₂²	semidirect
85. #64107	C₂²	semidirect
86. #64107	C₂²	semidirect
87. #64107	C₂²	semidirect
88. #64107	C₂²	semidirect
89. #64107	C₂²	semidirect
93. #64105	C₂²	semidirect
94. #64105	C₂²	semidirect
95. #64105	C₂²	semidirect
96. #64105	C₂²	semidirect
102. #64103	C₂²	semidirect
103. #64103	C₂²	semidirect
109. #64101	C₂²	semidirect
111. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
112. C₄⋊C₄×C₃⋊D₃	C₂²	semidirect
113. #64099	C₂²	semidirect
114. #64098	C₂²	semidirect
115. #64098	C₂²	semidirect
116. #64098	C₂²	semidirect
117. #64098	C₂²	semidirect
118. #64098	C₂²	semidirect
119. #64098	C₂²	semidirect
120. #64097	C₂²	semidirect
121. #64096	C₂²	semidirect
122. #64096	C₂²	semidirect
123. #64096	C₂²	semidirect
124. #64095	C₂²	semidirect
125. #64095	C₂²	semidirect
128. #64094	C₂²	semidirect
129. #64094	C₂²	semidirect
132. #64093	C₂²	semidirect
133. #64093	C₂²	semidirect
136. #64092	C₂²	semidirect
137. #64092	C₂²	semidirect
145. #64090	C₂²	semidirect
146. #64090	C₂²	semidirect
147. #64090	C₂²	semidirect
152. #64088	C₂²	semidirect
153. #64088	C₂²	semidirect
154. #64088	C₂²	semidirect
155. #64088	C₂²	semidirect
156. #64087	C₂²	semidirect
157. #64087	C₂²	semidirect
158. #64087	C₂²	semidirect
159. #64087	C₂²	semidirect
160. #64086	C₂²	semidirect
161. #64086	C₂²	semidirect
162. #64086	C₂²	semidirect
163. #64086	C₂²	semidirect
165. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
166. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
167. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
173. #64081	C₂²	semidirect
174. #64081	C₂²	semidirect
175. #64081	C₂²	semidirect
176. #64081	C₂²	semidirect
177. #64081	C₂²	semidirect
178. #64081	C₂²	semidirect
179. #64081	C₂²	semidirect
181. C₄²×C₃⋊D₃	C₂²	semidirect
182. C₄²×C₃⋊D₃	C₂²	semidirect
183. C₄²×C₃⋊D₃	C₂²	semidirect
184. C₄×#634	C₂²	semidirect
185. C₄×#634	C₂²	semidirect
186. C₄×#634	C₂²	semidirect
187. C₄×#634	C₂²	semidirect
188. C₃×#529	D₃	semidirect
387. C₃×#126	C₂×D₃	semidirect
388. C₃×#126	C₂×D₃	semidirect
389. C₃×#125	C₂×D₃	semidirect
390. C₃×#124	C₂×D₃	semidirect
392. C₃×#123	C₂×D₃	semidirect
393. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
395. C₃×C₄×Q₈	C₂×D₃	semidirect
397. C₃×C₄×D₄	C₂×D₃	semidirect
398. C₃×C₄×D₄	C₂×D₃	semidirect
399. C₃×#117	C₂×D₃	semidirect
400. C₃×#117	C₂×D₃	semidirect
401. C₂×C₃×C₄²	C₂×D₃	semidirect
577. #638	#41	semidirect
615. C₄×C₃⋊D₃	#41	semidirect
642. #529	C₃⋊D₃	semidirect
878. #126	C₂×C₃⋊D₃	semidirect
879. #126	C₂×C₃⋊D₃	semidirect
887. #125	C₂×C₃⋊D₃	semidirect
893. #124	C₂×C₃⋊D₃	semidirect
909. #123	C₂×C₃⋊D₃	semidirect
923. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
945. C₄×Q₈	C₂×C₃⋊D₃	semidirect
972. C₄×D₄	C₂×C₃⋊D₃	semidirect
973. C₄×D₄	C₂×C₃⋊D₃	semidirect
995. #117	C₂×C₃⋊D₃	semidirect
996. #117	C₂×C₃⋊D₃	semidirect
1014. C₂×C₄²	C₂×C₃⋊D₃	semidirect
1318. C₃²	#3475	semidirect
1461. C₃	#86150	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#529	2
#10596180	2
#10596179	2
#10596176	2
#10596173	2
#10596164	2
#10596150	2
#10596141	2
#10596129	2
#10596126	2
#10596125	2
#10596121	2
#10596108	2
#10596107	2
#10596081	2
#10596072	2
#10596051	2
#10596049	2
#10596018	2
C₄×D₄×C₃⋊D₃	2
#10596009	2
C₄×#3830	2
#10595999	2
#10595993	2
C₃⋊D₃×#117	2
C₄×#3828	2
C₂×#64081	2
#86150	3