Subgroups — #11918327

Order 1152.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1431 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596206	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596204	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596183	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596177	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596176	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596175	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596154	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596150	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596149	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596140	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596117	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596115	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596111	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596108	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596055	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596053	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596053	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596051	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596039	C₂	1	1	yes	maximal, characteristic, complemented
25	#10596039	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596031	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
28	#10596005	C₂	1	1	yes	maximal, characteristic, complemented
29	#10595999	C₂	1	1	yes	maximal, characteristic, complemented
30	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
31	#10595998	C₂	1	1	yes	maximal, characteristic, complemented
32	#87002	—	3	4	no	maximal
33	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
38	C₃²×#124	C₂²	1	1	yes	characteristic
39	C₃²×#124	C₂²	1	1	yes	characteristic
40	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
48	#64156	C₂²	1	1	yes	characteristic
49	#64156	C₂²	1	1	yes	characteristic
50	#64156	C₂²	1	1	yes	characteristic
51	#64156	C₂²	1	1	yes	characteristic, complemented
52	#64156	C₂²	1	1	yes	characteristic, complemented
53	#64155	C₂²	1	1	yes	characteristic, complemented
54	#64155	C₂²	1	1	yes	characteristic, complemented
55	#64155	C₂²	1	1	yes	characteristic, complemented
56	#64155	C₂²	1	1	yes	characteristic, complemented
57	#64155	C₂²	1	1	yes	characteristic, complemented
58	#64153	C₂²	1	1	yes	characteristic, complemented
59	#64153	C₂²	1	1	yes	characteristic, complemented
60	#64148	C₂²	1	1	yes	characteristic
61	#64146	C₂²	1	1	yes	characteristic
62	#64146	C₂²	1	1	yes	characteristic
63	#64144	C₂²	1	1	yes	characteristic
64	#64139	C₂²	1	1	yes	characteristic
65	#64138	C₂²	1	1	yes	characteristic
66	#64138	C₂²	1	1	yes	characteristic
67	C₄×#638	C₂²	1	1	yes	characteristic
68	C₄×#638	C₂²	1	1	yes	characteristic, complemented
69	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
70	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
71	#64133	C₂²	1	1	yes	characteristic, complemented
72	#64107	C₂²	1	1	yes	characteristic, complemented
73	#64107	C₂²	1	1	yes	characteristic, complemented
74	#64107	C₂²	1	1	yes	characteristic, complemented
75	#64107	C₂²	1	1	yes	characteristic, complemented
76	#64107	C₂²	1	1	yes	characteristic, complemented
77	#64107	C₂²	1	1	yes	characteristic, complemented
78	#64107	C₂²	1	1	yes	characteristic, complemented
79	#64107	C₂²	1	1	yes	characteristic, complemented
80	#64107	C₂²	1	1	yes	characteristic, complemented
81	#64107	C₂²	1	1	yes	characteristic, complemented
82	#64107	C₂²	1	1	yes	characteristic, complemented
83	#64107	C₂²	1	1	yes	characteristic, complemented
84	#64106	C₂²	1	1	yes	characteristic, complemented
85	#64105	C₂²	1	1	yes	characteristic, complemented
86	#64105	C₂²	1	1	yes	characteristic, complemented
87	#64105	C₂²	1	1	yes	characteristic, complemented
88	#64105	C₂²	1	1	yes	characteristic, complemented
89	#64105	C₂²	1	1	yes	characteristic, complemented
90	#64105	C₂²	1	1	yes	characteristic, complemented
91	#64105	C₂²	1	1	yes	characteristic, complemented
92	#64105	C₂²	1	1	yes	characteristic, complemented
93	#64105	C₂²	1	1	yes	characteristic, complemented
94	#64104	C₂²	1	1	yes	characteristic
95	#64104	C₂²	1	1	yes	characteristic
96	#64104	C₂²	1	1	yes	characteristic
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
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	#64102	C₂²	1	1	yes	characteristic
108	#64102	C₂²	1	1	yes	characteristic
109	#64102	C₂²	1	1	yes	characteristic, complemented
110	#64101	C₂²	1	1	yes	characteristic, complemented
111	#64101	C₂²	1	1	yes	characteristic, complemented
112	#64099	C₂²	1	1	yes	characteristic, complemented
113	#64098	C₂²	1	1	yes	characteristic, complemented
114	#64098	C₂²	1	1	yes	characteristic, complemented
115	#64097	C₂²	1	1	yes	characteristic, complemented
116	#64097	C₂²	1	1	yes	characteristic, complemented
117	#64096	C₂²	1	1	yes	characteristic, complemented
118	#64096	C₂²	1	1	yes	characteristic, complemented
119	#64096	C₂²	1	1	yes	characteristic, complemented
120	#64095	C₂²	1	1	yes	characteristic
121	#64094	C₂²	1	1	yes	characteristic
122	#64094	C₂²	1	1	yes	characteristic
123	#64094	C₂²	1	1	yes	characteristic
124	#64094	C₂²	1	1	yes	characteristic
125	#64094	C₂²	1	1	yes	characteristic
126	#64094	C₂²	1	1	yes	characteristic
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	#64092	C₂²	1	1	yes	characteristic
133	#64092	C₂²	1	1	yes	characteristic
134	#64092	C₂²	1	1	yes	characteristic
135	#64092	C₂²	1	1	yes	characteristic, complemented
136	#64092	C₂²	1	1	yes	characteristic, complemented
137	#64091	C₂²	1	1	yes	characteristic
138	#64091	C₂²	1	1	yes	characteristic
139	#64091	C₂²	1	1	yes	characteristic
140	#64091	C₂²	1	1	yes	characteristic
141	#64091	C₂²	1	1	yes	characteristic, complemented
142	#64091	C₂²	1	1	yes	characteristic, complemented
143	#64090	C₂²	1	1	yes	characteristic
144	#64090	C₂²	1	1	yes	characteristic
145	#64090	C₂²	1	1	yes	characteristic
146	#64090	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
148	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
149	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
151	#64088	C₂²	1	1	yes	characteristic, complemented
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	#64087	C₂²	1	1	yes	characteristic, complemented
156	#64087	C₂²	1	1	yes	characteristic, complemented
157	#64087	C₂²	1	1	yes	characteristic, complemented
158	#64086	C₂²	1	1	yes	characteristic, complemented
159	#64086	C₂²	1	1	yes	characteristic, complemented
160	#64085	C₂²	1	1	yes	characteristic, complemented
161	#64085	C₂²	1	1	yes	characteristic, complemented
162	#64085	C₂²	1	1	yes	characteristic, complemented
163	#64085	C₂²	1	1	yes	characteristic, complemented
164	#64085	C₂²	1	1	yes	characteristic, complemented
165	#64085	C₂²	1	1	yes	characteristic, complemented
166	#64084	C₂²	1	1	yes	characteristic
167	#64084	C₂²	1	1	yes	characteristic
168	#64084	C₂²	1	1	yes	characteristic
169	#64084	C₂²	1	1	yes	characteristic
170	#64084	C₂²	1	1	yes	characteristic, complemented
171	#64084	C₂²	1	1	yes	characteristic, complemented
172	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
173	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic
174	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊(C₃⋊D₃)	C₂²	1	1	yes	characteristic, complemented
177	#64081	C₂²	1	1	yes	characteristic, complemented
178	#64081	C₂²	1	1	yes	characteristic, complemented
179	#64081	C₂²	1	1	yes	characteristic, complemented
180	#64081	C₂²	1	1	yes	characteristic, complemented
181	#64081	C₂²	1	1	yes	characteristic, complemented
182	#64081	C₂²	1	1	yes	characteristic, complemented
183	C₄²×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
184	#64078	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×#556	D₃	1	4	yes	complemented
189	#5735	—	3	4	no	—
190	#5733	—	3	4	no	—
191	#5712	—	3	4	no	—
192	#5706	—	3	4	no	—
193	#5705	—	3	4	no	—
194	#5704	—	3	4	no	—
195	#5704	—	3	4	no	—
196	#5704	—	3	4	no	—
197	#5702	—	3	4	no	—
198	#5702	—	3	4	no	—
199	#5683	—	3	4	no	—
200	#5679	—	3	4	no	—
201	#5678	—	3	4	no	—
202	#5669	—	3	4	no	—
203	#5646	—	3	4	no	—
204	#5644	—	3	4	no	—
205	#5640	—	3	4	no	—
206	#5637	—	3	4	no	—
207	#5584	—	3	4	no	—
208	#5582	—	3	4	no	—
209	#5582	—	3	4	no	—
210	#5580	—	3	4	no	—
211	#5568	—	3	4	no	—
212	#5568	—	3	4	no	—
213	#5560	—	3	4	no	—
214	#5556	—	3	4	no	—
215	#5534	—	3	4	no	—
216	#5528	—	3	4	no	—
217	#5527	—	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	C₂×C₃²×Q₈	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×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	C₂×#638	C₂³	1	1	yes	characteristic
228	C₂×#638	C₂³	1	1	yes	characteristic
229	C₂×#638	C₂³	1	1	yes	characteristic
230	C₂×#638	C₂³	1	1	yes	characteristic
231	C₂×#638	C₂³	1	1	yes	characteristic
232	C₂×#638	C₂³	1	1	yes	characteristic
233	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
234	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	1	yes	characteristic
243	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
244	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
245	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
246	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
248	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
249	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
250	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
251	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
252	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
253	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
254	C₂×#634	C₂³	1	1	yes	characteristic
255	C₂×#634	C₂³	1	1	yes	characteristic
256	C₂×#634	C₂³	1	1	yes	characteristic
257	C₂×#634	C₂³	1	1	yes	characteristic
258	C₂×#634	C₂³	1	1	yes	characteristic
259	C₂×#634	C₂³	1	1	yes	characteristic
260	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₃²×C₄²	C₂³	1	1	yes	characteristic
283	C₃²×C₄²	C₂³	1	1	yes	characteristic
284	C₃²×C₄²	C₂³	1	1	yes	characteristic
285	C₃²×C₄²	C₂³	1	1	yes	characteristic
286	C₃²×C₄²	C₂³	1	1	yes	characteristic
287	C₃²×C₄²	C₂³	1	1	yes	characteristic
288	C₃²×C₄²	C₂³	1	1	yes	characteristic
289	#3757	C₂³	1	1	yes	characteristic
290	#3757	C₂³	1	1	yes	characteristic
291	#3757	C₂³	1	1	yes	characteristic
292	#3757	C₂³	1	1	yes	characteristic
293	#3757	C₂³	1	1	yes	characteristic
294	#3757	C₂³	1	1	yes	characteristic
295	#3752	C₂³	1	1	yes	characteristic
296	#3752	C₂³	1	1	yes	characteristic
297	#3752	C₂³	1	1	yes	characteristic
298	#3752	C₂³	1	1	yes	characteristic
299	#3752	C₂³	1	1	yes	characteristic
300	#3752	C₂³	1	1	yes	characteristic
301	#3752	C₂³	1	1	yes	characteristic
302	#3752	C₂³	1	1	yes	characteristic
303	#3752	C₂³	1	1	yes	characteristic
304	#3752	C₂³	1	1	yes	characteristic
305	#3752	C₂³	1	1	yes	characteristic
306	#3752	C₂³	1	1	yes	characteristic
307	#3752	C₂³	1	1	yes	characteristic
308	#3752	C₂³	1	1	yes	characteristic
309	#3752	C₂³	1	1	yes	characteristic
310	#3752	C₂³	1	1	yes	characteristic
311	#3752	C₂³	1	1	yes	characteristic
312	#3752	C₂³	1	1	yes	characteristic
313	#3752	C₂³	1	1	yes	characteristic
314	#3752	C₂³	1	1	yes	characteristic
315	#3752	C₂³	1	1	yes	characteristic
316	#3752	C₂³	1	1	yes	characteristic
317	#3752	C₂³	1	1	yes	characteristic
318	#3752	C₂³	1	1	yes	characteristic
319	#3752	C₂³	1	1	yes	characteristic
320	#3752	C₂³	1	1	yes	characteristic
321	#3752	C₂³	1	1	yes	characteristic
322	#3752	C₂³	1	1	yes	characteristic
323	#3752	C₂³	1	1	yes	characteristic
324	#3752	C₂³	1	1	yes	characteristic
325	#3752	C₂³	1	1	yes	characteristic
326	#3752	C₂³	1	1	yes	characteristic
327	#3752	C₂³	1	1	yes	characteristic
328	#3752	C₂³	1	1	yes	characteristic
329	#3752	C₂³	1	1	yes	characteristic
330	#3752	C₂³	1	1	yes	characteristic
331	#3752	C₂³	1	1	yes	characteristic
332	#3752	C₂³	1	1	yes	characteristic
333	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	C₄⋊(C₃⋊Dic₃)	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	C₄×C₃⋊Dic₃	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	#3568	—	9	1	no	Sylow
375	C₃×C₄⋊Q₈	C₂×D₃	1	4	yes	complemented
376	C₃×#126	C₂×D₃	1	4	yes	complemented
377	C₃×#126	C₂×D₃	1	4	yes	complemented
378	C₃×#126	C₂×D₃	1	4	yes	complemented
379	C₃×#126	C₂×D₃	1	4	yes	complemented
380	C₃×#124	C₂×D₃	1	4	yes	—
381	C₃×#124	C₂×D₃	1	4	yes	—
382	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
383	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
384	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
385	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
386	C₃×C₄×Q₈	C₂×D₃	1	4	yes	complemented
387	C₃×C₄×D₄	C₂×D₃	1	4	yes	—
388	C₃×#117	C₂×D₃	1	4	yes	complemented
389	C₃×#117	C₂×D₃	1	4	yes	complemented
390	#947	—	3	4	no	—
391	#947	—	3	4	no	—
392	#947	—	3	4	no	—
393	#947	—	3	4	no	—
394	#947	—	3	4	no	—
395	#946	—	3	4	no	—
396	#946	—	3	4	no	—
397	#946	—	3	4	no	—
398	#946	—	3	4	no	—
399	#946	—	3	4	no	—
400	#944	—	3	4	no	—
401	#944	—	3	4	no	—
402	#939	—	3	4	no	—
403	#937	—	3	4	no	—
404	#937	—	3	4	no	—
405	#935	—	3	4	no	—
406	#930	—	3	4	no	—
407	#929	—	3	4	no	—
408	#929	—	3	4	no	—
409	C₄×#67	—	3	4	no	—
410	C₄×#67	—	3	4	no	—
411	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
412	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
413	#924	—	3	4	no	—
414	#898	—	3	4	no	—
415	#898	—	3	4	no	—
416	#898	—	3	4	no	—
417	#898	—	3	4	no	—
418	#898	—	3	4	no	—
419	#898	—	3	4	no	—
420	#898	—	3	4	no	—
421	#898	—	3	4	no	—
422	#898	—	3	4	no	—
423	#898	—	3	4	no	—
424	#898	—	3	4	no	—
425	#898	—	3	4	no	—
426	#897	—	3	4	no	—
427	#896	—	3	4	no	—
428	#896	—	3	4	no	—
429	#896	—	3	4	no	—
430	#896	—	3	4	no	—
431	#896	—	3	4	no	—
432	#896	—	3	4	no	—
433	#896	—	3	4	no	—
434	#896	—	3	4	no	—
435	#896	—	3	4	no	—
436	#895	—	3	4	no	—
437	#895	—	3	4	no	—
438	#895	—	3	4	no	—
439	#895	—	3	4	no	—
440	#894	—	3	4	no	—
441	#894	—	3	4	no	—
442	#894	—	3	4	no	—
443	#894	—	3	4	no	—
444	#894	—	3	4	no	—
445	#894	—	3	4	no	—
446	#894	—	3	4	no	—
447	#894	—	3	4	no	—
448	#894	—	3	4	no	—
449	#893	—	3	4	no	—
450	#893	—	3	4	no	—
451	#893	—	3	4	no	—
452	#892	—	3	4	no	—
453	#892	—	3	4	no	—
454	#890	—	3	4	no	—
455	#889	—	3	4	no	—
456	#889	—	3	4	no	—
457	#888	—	3	4	no	—
458	#888	—	3	4	no	—
459	#887	—	3	4	no	—
460	#887	—	3	4	no	—
461	#887	—	3	4	no	—
462	#886	—	3	4	no	—
463	#885	—	3	4	no	—
464	#885	—	3	4	no	—
465	#885	—	3	4	no	—
466	#885	—	3	4	no	—
467	#885	—	3	4	no	—
468	#885	—	3	4	no	—
469	#885	—	3	4	no	—
470	#885	—	3	4	no	—
471	#884	—	3	4	no	—
472	#884	—	3	4	no	—
473	#884	—	3	4	no	—
474	#883	—	3	4	no	—
475	#883	—	3	4	no	—
476	#883	—	3	4	no	—
477	#883	—	3	4	no	—
478	#883	—	3	4	no	—
479	#882	—	3	4	no	—
480	#882	—	3	4	no	—
481	#882	—	3	4	no	—
482	#882	—	3	4	no	—
483	#882	—	3	4	no	—
484	#882	—	3	4	no	—
485	#67⋊C₄	—	3	4	no	—
486	#67⋊C₄	—	3	4	no	—
487	#67⋊C₄	—	3	4	no	—
488	#67⋊C₄	—	3	4	no	—
489	D₃×C₂²⋊C₄	—	3	4	no	—
490	D₃×C₂²⋊C₄	—	3	4	no	—
491	D₃×C₂²⋊C₄	—	3	4	no	—
492	D₃×C₂²⋊C₄	—	3	4	no	—
493	#879	—	3	4	no	—
494	#879	—	3	4	no	—
495	#879	—	3	4	no	—
496	#879	—	3	4	no	—
497	#878	—	3	4	no	—
498	#878	—	3	4	no	—
499	#878	—	3	4	no	—
500	#877	—	3	4	no	—
501	#877	—	3	4	no	—
502	#876	—	3	4	no	—
503	#876	—	3	4	no	—
504	#876	—	3	4	no	—
505	#876	—	3	4	no	—
506	#876	—	3	4	no	—
507	#876	—	3	4	no	—
508	#875	—	3	4	no	—
509	#875	—	3	4	no	—
510	#875	—	3	4	no	—
511	#875	—	3	4	no	—
512	#875	—	3	4	no	—
513	#875	—	3	4	no	—
514	C₄×D₁₂	—	3	4	no	—
515	C₄×D₁₂	—	3	4	no	—
516	C₄×D₁₂	—	3	4	no	—
517	C₄×D₁₂	—	3	4	no	—
518	C₄×D₁₂	—	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	C₄²×D₃	—	3	4	no	—
526	#869	—	3	4	no	—
527	C₄×Dic₆	—	3	4	no	—
528	C₄×Dic₆	—	3	4	no	—
529	C₄×Dic₆	—	3	4	no	—
530	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
531	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
532	C₂²×C₃⋊D₃	—	4	1	no	—
533	C₂²×C₃⋊D₃	—	4	1	no	—
534	C₂²×C₃⋊D₃	—	4	1	no	—
535	C₂²×C₃⋊D₃	—	4	1	no	—
536	C₂²×C₃⋊D₃	—	4	1	no	—
537	C₂²×C₃⋊D₃	—	4	1	no	—
538	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
541	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
543	C₃²×Q₈	—	4	1	no	—
544	C₃²×Q₈	—	4	1	no	—
545	C₃²×Q₈	—	4	1	no	—
546	C₃²×D₄	—	4	1	no	—
547	C₂×C₃²×C₄	—	4	1	no	—
548	C₂×C₃²×C₄	—	4	1	no	—
549	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
551	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
555	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
558	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
559	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
562	#638	—	4	1	no	—
563	#638	—	4	1	no	—
564	#638	—	4	1	no	—
565	#638	—	4	1	no	—
566	#638	—	4	1	no	—
567	#638	—	4	1	no	—
568	C₂×C₃⋊Dic₃	—	4	1	no	—
569	C₂×C₃⋊Dic₃	—	4	1	no	—
570	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
581	C₄⋊(C₃⋊D₃)	—	4	1	no	—
582	C₄⋊(C₃⋊D₃)	—	4	1	no	—
583	C₄⋊(C₃⋊D₃)	—	4	1	no	—
584	C₄⋊(C₃⋊D₃)	—	4	1	no	—
585	C₄⋊(C₃⋊D₃)	—	4	1	no	—
586	C₄⋊(C₃⋊D₃)	—	4	1	no	—
587	C₄⋊(C₃⋊D₃)	—	4	1	no	—
588	C₄⋊(C₃⋊D₃)	—	4	1	no	—
589	C₄×C₃⋊D₃	—	4	1	no	—
590	C₄×C₃⋊D₃	—	4	1	no	—
591	C₄×C₃⋊D₃	—	4	1	no	—
592	C₄×C₃⋊D₃	—	4	1	no	—
593	C₄×C₃⋊D₃	—	4	1	no	—
594	C₄×C₃⋊D₃	—	4	1	no	—
595	C₄×C₃⋊D₃	—	4	1	no	—
596	C₄×C₃⋊D₃	—	4	1	no	—
597	C₄×C₃⋊D₃	—	4	1	no	—
598	C₄×C₃⋊D₃	—	4	1	no	—
599	C₄×C₃⋊D₃	—	4	1	no	—
600	#634	—	4	1	no	—
601	#634	—	4	1	no	—
602	#634	—	4	1	no	—
603	#634	—	4	1	no	—
604	#634	—	4	1	no	—
605	#634	—	4	1	no	—
606	#563	—	9	1	no	—
607	#563	—	9	1	no	—
608	#563	—	9	1	no	—
609	H(3,𝔽₄)	—	9	1	no	—
610	#556	—	9	1	no	—
611	#556	—	9	1	no	—
612	#556	—	9	1	no	—
613	#556	—	9	1	no	—
614	#556	—	9	1	no	—
615	#556	C₃⋊D₃	1	1	yes	characteristic, complemented
616	#551	—	9	1	no	—
617	#551	—	9	1	no	—
618	#551	—	9	1	no	—
619	#551	—	9	1	no	—
620	#551	—	9	1	no	—
621	#551	—	9	1	no	—
622	#542	—	9	1	no	—
623	#542	—	9	1	no	—
624	#542	—	9	1	no	—
625	#542	—	9	1	no	—
626	#542	—	9	1	no	—
627	#542	—	9	1	no	—
628	#538	—	9	1	no	—
629	#538	—	9	1	no	—
630	#538	—	9	1	no	—
631	#538	—	9	1	no	—
632	#538	—	9	1	no	—
633	#538	—	9	1	no	—
634	#529	—	9	1	no	—
635	#529	—	9	1	no	—
636	#529	—	9	1	no	—
637	C₂³×D₃	—	3	4	no	—
638	C₂³×D₃	—	3	4	no	—
639	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
640	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
641	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
642	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
643	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
644	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
645	C₂×#67	—	3	4	no	—
646	C₂×#67	—	3	4	no	—
647	C₂×#67	—	3	4	no	—
648	C₂×#67	—	3	4	no	—
649	C₂×#67	—	3	4	no	—
650	C₂×#67	—	3	4	no	—
651	C₂²×Dic₃	—	3	4	no	—
652	C₂²×Dic₃	—	3	4	no	—
653	C₂×D₁₂	—	3	4	no	—
654	C₂×D₁₂	—	3	4	no	—
655	C₂×D₁₂	—	3	4	no	—
656	C₂×D₁₂	—	3	4	no	—
657	C₂×D₁₂	—	3	4	no	—
658	C₂×D₁₂	—	3	4	no	—
659	C₂×D₁₂	—	3	4	no	—
660	C₂×D₁₂	—	3	4	no	—
661	C₂×C₄×D₃	—	3	4	no	—
662	C₂×C₄×D₃	—	3	4	no	—
663	C₂×C₄×D₃	—	3	4	no	—
664	C₂×C₄×D₃	—	3	4	no	—
665	C₂×C₄×D₃	—	3	4	no	—
666	C₂×C₄×D₃	—	3	4	no	—
667	C₂×C₄×D₃	—	3	4	no	—
668	C₂×C₄×D₃	—	3	4	no	—
669	C₂×C₄×D₃	—	3	4	no	—
670	C₂×C₄×D₃	—	3	4	no	—
671	C₂×C₄×D₃	—	3	4	no	—
672	C₂×Dic₆	—	3	4	no	—
673	C₂×Dic₆	—	3	4	no	—
674	C₂×Dic₆	—	3	4	no	—
675	C₂×Dic₆	—	3	4	no	—
676	C₂×Dic₆	—	3	4	no	—
677	C₂×Dic₆	—	3	4	no	—
678	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
679	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
680	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
681	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
682	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
683	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
684	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
685	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
686	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
687	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
688	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
689	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
690	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
691	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
692	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
693	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
694	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
695	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
696	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
697	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
698	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
699	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
700	C₃×C₄²	C₂²×D₃	1	4	yes	—
701	C₃×C₄²	C₂²×D₃	1	4	yes	—
702	C₃×C₄²	C₂²×D₃	1	4	yes	—
703	C₃×C₄²	C₂²×D₃	1	4	yes	—
704	C₃×C₄²	C₂²×D₃	1	4	yes	—
705	C₃×C₄²	C₂²×D₃	1	4	yes	—
706	C₃×C₄²	C₂²×D₃	1	4	yes	—
707	#217	—	3	4	no	—
708	#217	—	3	4	no	—
709	#217	—	3	4	no	—
710	#217	—	3	4	no	—
711	#217	—	3	4	no	—
712	#217	—	3	4	no	—
713	(C₂×D₃)⋊C₄	—	3	4	no	—
714	(C₂×D₃)⋊C₄	—	3	4	no	—
715	(C₂×D₃)⋊C₄	—	3	4	no	—
716	(C₂×D₃)⋊C₄	—	3	4	no	—
717	(C₂×D₃)⋊C₄	—	3	4	no	—
718	(C₂×D₃)⋊C₄	—	3	4	no	—
719	(C₂×D₃)⋊C₄	—	3	4	no	—
720	(C₂×D₃)⋊C₄	—	3	4	no	—
721	(C₂×D₃)⋊C₄	—	3	4	no	—
722	(C₂×D₃)⋊C₄	—	3	4	no	—
723	(C₂×D₃)⋊C₄	—	3	4	no	—
724	(C₂×D₃)⋊C₄	—	3	4	no	—
725	(C₂×D₃)⋊C₄	—	3	4	no	—
726	(C₂×D₃)⋊C₄	—	3	4	no	—
727	(C₂×D₃)⋊C₄	—	3	4	no	—
728	(C₂×D₃)⋊C₄	—	3	4	no	—
729	(C₂×D₃)⋊C₄	—	3	4	no	—
730	(C₂×D₃)⋊C₄	—	3	4	no	—
731	(C₂×D₃)⋊C₄	—	3	4	no	—
732	(C₂×D₃)⋊C₄	—	3	4	no	—
733	(C₂×D₃)⋊C₄	—	3	4	no	—
734	(C₂×D₃)⋊C₄	—	3	4	no	—
735	(C₂×D₃)⋊C₄	—	3	4	no	—
736	(C₂×D₃)⋊C₄	—	3	4	no	—
737	(C₂×D₃)⋊C₄	—	3	4	no	—
738	(C₂×D₃)⋊C₄	—	3	4	no	—
739	(C₂×D₃)⋊C₄	—	3	4	no	—
740	(C₂×D₃)⋊C₄	—	3	4	no	—
741	(C₂×D₃)⋊C₄	—	3	4	no	—
742	(C₂×D₃)⋊C₄	—	3	4	no	—
743	(C₂×D₃)⋊C₄	—	3	4	no	—
744	(C₂×D₃)⋊C₄	—	3	4	no	—
745	(C₂×D₃)⋊C₄	—	3	4	no	—
746	(C₂×D₃)⋊C₄	—	3	4	no	—
747	(C₂×D₃)⋊C₄	—	3	4	no	—
748	(C₂×D₃)⋊C₄	—	3	4	no	—
749	(C₂×D₃)⋊C₄	—	3	4	no	—
750	(C₂×D₃)⋊C₄	—	3	4	no	—
751	C₄⋊Dic₃	—	3	4	no	—
752	C₄⋊Dic₃	—	3	4	no	—
753	C₄⋊Dic₃	—	3	4	no	—
754	C₄⋊Dic₃	—	3	4	no	—
755	C₄⋊Dic₃	—	3	4	no	—
756	C₄⋊Dic₃	—	3	4	no	—
757	C₄⋊Dic₃	—	3	4	no	—
758	C₄⋊Dic₃	—	3	4	no	—
759	Dic₃⋊C₄	—	3	4	no	—
760	Dic₃⋊C₄	—	3	4	no	—
761	Dic₃⋊C₄	—	3	4	no	—
762	Dic₃⋊C₄	—	3	4	no	—
763	Dic₃⋊C₄	—	3	4	no	—
764	Dic₃⋊C₄	—	3	4	no	—
765	Dic₃⋊C₄	—	3	4	no	—
766	Dic₃⋊C₄	—	3	4	no	—
767	Dic₃⋊C₄	—	3	4	no	—
768	Dic₃⋊C₄	—	3	4	no	—
769	Dic₃⋊C₄	—	3	4	no	—
770	Dic₃⋊C₄	—	3	4	no	—
771	Dic₃⋊C₄	—	3	4	no	—
772	Dic₃⋊C₄	—	3	4	no	—
773	Dic₃⋊C₄	—	3	4	no	—
774	Dic₃⋊C₄	—	3	4	no	—
775	Dic₃⋊C₄	—	3	4	no	—
776	Dic₃⋊C₄	—	3	4	no	—
777	Dic₃⋊C₄	—	3	4	no	—
778	Dic₃⋊C₄	—	3	4	no	—
779	Dic₃⋊C₄	—	3	4	no	—
780	Dic₃⋊C₄	—	3	4	no	—
781	C₄×Dic₃	—	3	4	no	—
782	C₄×Dic₃	—	3	4	no	—
783	C₄×Dic₃	—	3	4	no	—
784	C₄×Dic₃	—	3	4	no	—
785	C₄×Dic₃	—	3	4	no	—
786	C₄×Dic₃	—	3	4	no	—
787	C₄×Dic₃	—	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	C₂²×C₃²	—	2	1	no	—
793	C₂²×C₃²	—	2	1	no	—
794	C₂²×C₃²	—	2	1	no	—
795	C₂²×C₃²	—	2	1	no	—
796	C₂²×C₃²	—	2	1	no	—
797	C₂²×C₃²	—	2	1	no	—
798	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
799	C₂×C₃⋊D₃	—	2	1	no	—
800	C₂×C₃⋊D₃	—	2	1	no	—
801	C₂×C₃⋊D₃	—	2	1	no	—
802	C₂×C₃⋊D₃	—	2	1	no	—
803	C₂×C₃⋊D₃	—	2	1	no	—
804	C₂×C₃⋊D₃	—	2	1	no	—
805	C₂×C₃⋊D₃	—	2	1	no	—
806	C₂×C₃⋊D₃	—	2	1	no	—
807	C₂×C₃⋊D₃	—	2	1	no	—
808	C₂×C₃⋊D₃	—	2	1	no	—
809	C₂×C₃⋊D₃	—	2	1	no	—
810	C₂×C₃⋊D₃	—	2	1	no	—
811	C₂×C₃⋊D₃	—	2	1	no	—
812	C₂×C₃⋊D₃	—	2	1	no	—
813	C₂×C₃⋊D₃	—	2	1	no	—
814	C₂×C₃⋊D₃	—	8	2	no	—
815	C₂×C₃⋊D₃	—	8	2	no	—
816	C₃²×C₄	—	2	1	no	—
817	C₃²×C₄	—	2	1	no	—
818	C₃²×C₄	—	2	1	no	—
819	C₃²×C₄	—	2	1	no	—
820	C₃²×C₄	—	2	1	no	—
821	C₃²×C₄	—	2	1	no	—
822	C₃²×C₄	—	2	1	no	—
823	C₃²×C₄	—	2	1	no	—
824	C₃²×C₄	—	2	1	no	—
825	C₃²×C₄	—	2	1	no	—
826	C₃²×C₄	—	2	1	no	—
827	C₃²×C₄	—	2	1	no	—
828	C₃²×C₄	—	2	1	no	—
829	C₃⋊Dic₃	—	2	1	no	—
830	C₃⋊Dic₃	—	2	1	no	—
831	C₃⋊Dic₃	—	2	1	no	—
832	C₃⋊Dic₃	—	2	1	no	—
833	C₃⋊Dic₃	—	2	1	no	—
834	C₃⋊Dic₃	—	2	1	no	—
835	C₃⋊Dic₃	—	2	1	no	—
836	C₃⋊Dic₃	—	2	1	no	—
837	C₃⋊Dic₃	—	2	1	no	—
838	C₃⋊Dic₃	—	2	1	no	—
839	C₃⋊Dic₃	—	2	1	no	—
840	C₄⋊Q₈	—	9	1	no	—
841	C₄⋊Q₈	—	9	1	no	—
842	C₄⋊Q₈	—	9	1	no	—
843	C₄⋊Q₈	—	9	1	no	—
844	C₄⋊Q₈	—	9	1	no	—
845	C₄⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
846	#126	—	9	1	no	—
847	#126	—	9	1	no	—
848	#126	—	9	1	no	—
849	#126	—	9	1	no	—
850	#126	—	9	1	no	—
851	#126	—	9	1	no	—
852	#126	—	9	1	no	—
853	#126	—	9	1	no	—
854	#126	—	9	1	no	—
855	#126	—	9	1	no	—
856	#126	—	9	1	no	—
857	#126	—	9	1	no	—
858	#126	—	9	1	no	—
859	#126	—	9	1	no	—
860	#126	—	9	1	no	—
861	#126	—	9	1	no	—
862	#126	—	9	1	no	—
863	#126	—	9	1	no	—
864	#126	—	9	1	no	—
865	#126	—	9	1	no	—
866	#126	—	9	1	no	—
867	#126	—	9	1	no	—
868	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
869	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
870	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
871	#126	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
872	#125	—	9	1	no	—
873	#125	—	9	1	no	—
874	#125	—	9	1	no	—
875	#124	—	9	1	no	—
876	#124	—	9	1	no	—
877	#124	—	9	1	no	—
878	#124	—	9	1	no	—
879	#124	—	9	1	no	—
880	#124	—	9	1	no	—
881	#124	—	9	1	no	—
882	#124	—	9	1	no	—
883	#124	—	9	1	no	—
884	#124	—	9	1	no	—
885	#124	—	9	1	no	—
886	#124	—	9	1	no	—
887	#124	—	9	1	no	—
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	—	9	1	no	—
894	#124	C₂×C₃⋊D₃	1	1	yes	characteristic
895	#124	C₂×C₃⋊D₃	1	1	yes	characteristic
896	#123	—	9	1	no	—
897	#123	—	9	1	no	—
898	#123	—	9	1	no	—
899	#123	—	9	1	no	—
900	#123	—	9	1	no	—
901	#123	—	9	1	no	—
902	#123	—	9	1	no	—
903	#123	—	9	1	no	—
904	#123	—	9	1	no	—
905	#123	—	9	1	no	—
906	#123	—	9	1	no	—
907	#123	—	9	1	no	—
908	#123	—	9	1	no	—
909	#123	—	9	1	no	—
910	#123	—	9	1	no	—
911	#123	—	9	1	no	—
912	#123	—	9	1	no	—
913	#123	—	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	—	9	1	no	—
924	C₂²⋊Q₈	—	9	1	no	—
925	C₂²⋊Q₈	—	9	1	no	—
926	C₂²⋊Q₈	—	9	1	no	—
927	C₂²⋊Q₈	—	9	1	no	—
928	C₂²⋊Q₈	—	9	1	no	—
929	C₂²⋊Q₈	—	9	1	no	—
930	C₂²⋊Q₈	—	9	1	no	—
931	C₂²⋊Q₈	—	9	1	no	—
932	C₂²⋊Q₈	—	9	1	no	—
933	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
934	C₂²⋊Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
935	#121	—	9	1	no	—
936	#121	—	9	1	no	—
937	#121	—	9	1	no	—
938	#121	—	9	1	no	—
939	#121	—	9	1	no	—
940	#121	—	9	1	no	—
941	#121	—	9	1	no	—
942	#121	—	9	1	no	—
943	#121	—	9	1	no	—
944	#120	—	9	1	no	—
945	#120	—	9	1	no	—
946	#120	—	9	1	no	—
947	#120	—	9	1	no	—
948	#120	—	9	1	no	—
949	#120	—	9	1	no	—
950	#120	—	9	1	no	—
951	#120	—	9	1	no	—
952	C₄×Q₈	—	9	1	no	—
953	C₄×Q₈	—	9	1	no	—
954	C₄×Q₈	—	9	1	no	—
955	C₄×Q₈	—	9	1	no	—
956	C₄×Q₈	—	9	1	no	—
957	C₄×Q₈	—	9	1	no	—
958	C₄×Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
959	C₄×Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
960	C₄×Q₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
972	C₄×D₄	—	9	1	no	—
973	C₄×D₄	—	9	1	no	—
974	C₄×D₄	—	9	1	no	—
975	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic
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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
987	#117	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
988	C₂×C₂²⋊C₄	—	9	1	no	—
989	C₂×C₂²⋊C₄	—	9	1	no	—
990	C₂×C₂²⋊C₄	—	9	1	no	—
991	C₂×C₂²⋊C₄	—	9	1	no	—
992	C₂×C₂²⋊C₄	—	9	1	no	—
993	C₂×C₂²⋊C₄	—	9	1	no	—
994	C₂×C₄²	—	9	1	no	—
995	C₂³×C₃	C₂³×D₃	1	4	yes	—
996	C₂³×C₃	C₂³×D₃	1	4	yes	—
997	C₂²×D₃	—	3	4	no	—
998	C₂²×D₃	—	3	4	no	—
999	C₂²×D₃	—	3	4	no	—
1000	C₂²×D₃	—	3	4	no	—
1001	C₂²×D₃	—	3	4	no	—
1002	C₂²×D₃	—	12	4	no	—
1003	C₂²×D₃	—	12	4	no	—
1004	C₂²×D₃	—	12	4	no	—
1005	C₂²×D₃	—	12	4	no	—
1006	C₂²×D₃	—	12	4	no	—
1007	C₂²×D₃	—	12	4	no	—
1008	C₃×Q₈	—	4	4	no	—
1009	C₃×Q₈	—	4	4	no	—
1010	C₃×Q₈	—	4	4	no	—
1011	C₃×D₄	—	4	4	no	—
1012	C₂×C₃×C₄	—	4	4	no	—
1013	C₂×C₃×C₄	—	4	4	no	—
1014	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1015	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1016	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1017	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1018	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1019	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1020	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1021	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1022	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1023	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1024	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1025	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1026	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1027	#67	—	12	4	no	—
1028	#67	—	12	4	no	—
1029	#67	—	12	4	no	—
1030	#67	—	12	4	no	—
1031	#67	—	12	4	no	—
1032	#67	—	12	4	no	—
1033	C₂×Dic₃	—	3	4	no	—
1034	C₂×Dic₃	—	3	4	no	—
1035	C₂×Dic₃	—	3	4	no	—
1036	C₂×Dic₃	—	3	4	no	—
1037	C₂×Dic₃	—	3	4	no	—
1038	C₂×Dic₃	—	3	4	no	—
1039	C₂×Dic₃	—	3	4	no	—
1040	C₂×Dic₃	—	3	4	no	—
1041	C₂×Dic₃	—	3	4	no	—
1042	C₂×Dic₃	—	3	4	no	—
1043	C₂×Dic₃	—	3	4	no	—
1044	C₂×Dic₃	—	12	4	no	—
1045	C₂×Dic₃	—	12	4	no	—
1046	D₁₂	—	12	4	no	—
1047	D₁₂	—	12	4	no	—
1048	D₁₂	—	12	4	no	—
1049	D₁₂	—	12	4	no	—
1050	D₁₂	—	12	4	no	—
1051	D₁₂	—	12	4	no	—
1052	D₁₂	—	12	4	no	—
1053	D₁₂	—	12	4	no	—
1054	C₄×D₃	—	12	4	no	—
1055	C₄×D₃	—	12	4	no	—
1056	C₄×D₃	—	12	4	no	—
1057	C₄×D₃	—	12	4	no	—
1058	C₄×D₃	—	12	4	no	—
1059	C₄×D₃	—	12	4	no	—
1060	C₄×D₃	—	12	4	no	—
1061	C₄×D₃	—	12	4	no	—
1062	C₄×D₃	—	12	4	no	—
1063	C₄×D₃	—	12	4	no	—
1064	C₄×D₃	—	12	4	no	—
1065	Dic₆	—	12	4	no	—
1066	Dic₆	—	12	4	no	—
1067	Dic₆	—	12	4	no	—
1068	Dic₆	—	12	4	no	—
1069	Dic₆	—	12	4	no	—
1070	Dic₆	—	12	4	no	—
1071	C₂×C₃²	—	4	1	no	—
1072	C₂×C₃²	—	4	1	no	—
1073	C₂×C₃²	#585	1	1	yes	characteristic
1074	C₂×C₃²	#585	1	1	yes	characteristic
1075	C₂×C₃²	#585	1	1	yes	characteristic
1076	C₃⋊D₃	—	4	1	no	—
1077	C₃⋊D₃	—	4	1	no	—
1078	C₃⋊D₃	—	4	1	no	—
1079	C₃⋊D₃	—	4	1	no	—
1080	C₃⋊D₃	—	4	1	no	—
1081	C₂⁴	—	9	1	no	—
1082	C₂⁴	—	9	1	no	—
1083	C₂×Q₈	—	9	1	no	—
1084	C₂×Q₈	—	9	1	no	—
1085	C₂×Q₈	—	9	1	no	—
1086	C₂×Q₈	—	9	1	no	—
1087	C₂×Q₈	—	9	1	no	—
1088	C₂×Q₈	—	9	1	no	—
1089	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1090	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1091	C₂×Q₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
1092	C₂×D₄	—	9	1	no	—
1093	C₂×D₄	—	9	1	no	—
1094	C₂×D₄	—	9	1	no	—
1095	C₂×D₄	—	9	1	no	—
1096	C₂×D₄	—	9	1	no	—
1097	C₂×D₄	—	9	1	no	—
1098	C₂×D₄	—	9	1	no	—
1099	C₂×D₄	—	9	1	no	—
1100	C₂×D₄	—	9	1	no	—
1101	C₂×D₄	—	9	1	no	—
1102	C₂×D₄	—	9	1	no	—
1103	C₂×D₄	—	9	1	no	—
1104	C₂×D₄	—	9	1	no	—
1105	C₂×D₄	—	9	1	no	—
1106	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1107	C₂²×C₄	—	9	1	no	—
1108	C₂²×C₄	—	9	1	no	—
1109	C₂²×C₄	—	9	1	no	—
1110	C₂²×C₄	—	9	1	no	—
1111	C₂²×C₄	—	9	1	no	—
1112	C₂²×C₄	—	9	1	no	—
1113	C₂²×C₄	—	9	1	no	—
1114	C₂²×C₄	—	9	1	no	—
1115	C₂²×C₄	—	9	1	no	—
1116	C₂²×C₄	—	9	1	no	—
1117	C₂²×C₄	—	9	1	no	—
1118	C₂²×C₄	—	9	1	no	—
1119	C₂²×C₄	—	9	1	no	—
1120	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1122	C₄⋊C₄	—	9	1	no	—
1123	C₄⋊C₄	—	9	1	no	—
1124	C₄⋊C₄	—	9	1	no	—
1125	C₄⋊C₄	—	9	1	no	—
1126	C₄⋊C₄	—	9	1	no	—
1127	C₄⋊C₄	—	9	1	no	—
1128	C₄⋊C₄	—	9	1	no	—
1129	C₄⋊C₄	—	9	1	no	—
1130	C₄⋊C₄	—	9	1	no	—
1131	C₄⋊C₄	—	9	1	no	—
1132	C₄⋊C₄	—	9	1	no	—
1133	C₄⋊C₄	—	9	1	no	—
1134	C₄⋊C₄	—	9	1	no	—
1135	C₄⋊C₄	—	9	1	no	—
1136	C₄⋊C₄	—	9	1	no	—
1137	C₄⋊C₄	—	9	1	no	—
1138	C₄⋊C₄	—	9	1	no	—
1139	C₄⋊C₄	—	9	1	no	—
1140	C₄⋊C₄	—	9	1	no	—
1141	C₄⋊C₄	—	9	1	no	—
1142	C₄⋊C₄	—	9	1	no	—
1143	C₄⋊C₄	—	9	1	no	—
1144	C₄⋊C₄	—	9	1	no	—
1145	C₄⋊C₄	—	9	1	no	—
1146	C₄⋊C₄	—	9	1	no	—
1147	C₄⋊C₄	—	9	1	no	—
1148	C₄⋊C₄	—	9	1	no	—
1149	C₄⋊C₄	—	9	1	no	—
1150	C₄⋊C₄	—	9	1	no	—
1151	C₄⋊C₄	—	9	1	no	—
1152	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1153	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1154	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1155	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1156	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1157	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1158	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1159	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1160	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1161	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1162	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1163	C₄⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1164	C₂²⋊C₄	—	9	1	no	—
1165	C₂²⋊C₄	—	9	1	no	—
1166	C₂²⋊C₄	—	9	1	no	—
1167	C₂²⋊C₄	—	9	1	no	—
1168	C₂²⋊C₄	—	9	1	no	—
1169	C₂²⋊C₄	—	9	1	no	—
1170	C₂²⋊C₄	—	9	1	no	—
1171	C₂²⋊C₄	—	9	1	no	—
1172	C₂²⋊C₄	—	9	1	no	—
1173	C₂²⋊C₄	—	9	1	no	—
1174	C₂²⋊C₄	—	9	1	no	—
1175	C₂²⋊C₄	—	9	1	no	—
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	—	9	1	no	—
1196	C₂²⋊C₄	—	9	1	no	—
1197	C₂²⋊C₄	—	9	1	no	—
1198	C₂²⋊C₄	—	9	1	no	—
1199	C₂²⋊C₄	—	9	1	no	—
1200	C₂²⋊C₄	—	9	1	no	—
1201	C₂²⋊C₄	—	9	1	no	—
1202	C₂²⋊C₄	—	9	1	no	—
1203	C₂²⋊C₄	—	9	1	no	—
1204	C₂²⋊C₄	—	9	1	no	—
1205	C₂²⋊C₄	—	9	1	no	—
1206	C₂²⋊C₄	—	9	1	no	—
1207	C₂²⋊C₄	—	9	1	no	—
1208	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1214	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1215	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1216	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1217	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1218	C₄²	—	9	1	no	—
1219	C₄²	—	9	1	no	—
1220	C₄²	—	9	1	no	—
1221	C₄²	—	9	1	no	—
1222	C₄²	—	9	1	no	—
1223	C₄²	—	9	1	no	—
1224	C₄²	—	9	1	no	—
1225	C₄²	—	9	1	no	—
1226	C₄²	—	9	1	no	—
1227	C₄²	—	9	1	no	—
1228	C₄²	—	9	1	no	—
1229	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1230	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1231	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1232	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1233	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1234	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1235	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
1236	C₂²×C₃	—	2	4	no	—
1237	C₂²×C₃	—	2	4	no	—
1238	C₂²×C₃	—	2	4	no	—
1239	C₂²×C₃	—	2	4	no	—
1240	C₂²×C₃	—	2	4	no	—
1241	C₂²×C₃	—	2	4	no	—
1242	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
1243	C₂×D₃	—	6	4	no	—
1244	C₂×D₃	—	6	4	no	—
1245	C₂×D₃	—	6	4	no	—
1246	C₂×D₃	—	6	4	no	—
1247	C₂×D₃	—	6	4	no	—
1248	C₂×D₃	—	6	4	no	—
1249	C₂×D₃	—	6	4	no	—
1250	C₂×D₃	—	6	4	no	—
1251	C₂×D₃	—	6	4	no	—
1252	C₂×D₃	—	6	4	no	—
1253	C₂×D₃	—	6	4	no	—
1254	C₂×D₃	—	6	4	no	—
1255	C₂×D₃	—	6	4	no	—
1256	C₂×D₃	—	6	4	no	—
1257	C₂×D₃	—	6	4	no	—
1258	C₂×D₃	—	24	8	no	—
1259	C₂×D₃	—	24	8	no	—
1260	C₃×C₄	—	2	4	no	—
1261	C₃×C₄	—	2	4	no	—
1262	C₃×C₄	—	2	4	no	—
1263	C₃×C₄	—	2	4	no	—
1264	C₃×C₄	—	2	4	no	—
1265	C₃×C₄	—	2	4	no	—
1266	C₃×C₄	—	2	4	no	—
1267	C₃×C₄	—	2	4	no	—
1268	C₃×C₄	—	2	4	no	—
1269	C₃×C₄	—	2	4	no	—
1270	C₃×C₄	—	2	4	no	—
1271	C₃×C₄	—	2	4	no	—
1272	C₃×C₄	—	2	4	no	—
1273	Dic₃	—	6	4	no	—
1274	Dic₃	—	6	4	no	—
1275	Dic₃	—	6	4	no	—
1276	Dic₃	—	6	4	no	—
1277	Dic₃	—	6	4	no	—
1278	Dic₃	—	6	4	no	—
1279	Dic₃	—	6	4	no	—
1280	Dic₃	—	6	4	no	—
1281	Dic₃	—	6	4	no	—
1282	Dic₃	—	6	4	no	—
1283	Dic₃	—	6	4	no	—
1284	C₃²	#3568	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	9	1	no	—
1286	C₂³	—	9	1	no	—
1287	C₂³	—	9	1	no	—
1288	C₂³	—	9	1	no	—
1289	C₂³	—	9	1	no	—
1290	C₂³	—	36	1	no	—
1291	C₂³	—	36	1	no	—
1292	C₂³	—	36	1	no	—
1293	C₂³	—	36	1	no	—
1294	C₂³	—	36	1	no	—
1295	C₂³	—	36	1	no	—
1296	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1297	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1298	Q₈	—	4	1	no	—
1299	Q₈	—	4	1	no	—
1300	Q₈	—	4	1	no	—
1301	Q₈	—	36	1	no	—
1302	Q₈	—	36	1	no	—
1303	Q₈	—	36	1	no	—
1304	Q₈	—	36	1	no	—
1305	Q₈	—	36	1	no	—
1306	Q₈	—	36	1	no	—
1307	D₄	—	4	1	no	—
1308	D₄	—	36	1	no	—
1309	D₄	—	36	1	no	—
1310	D₄	—	36	1	no	—
1311	D₄	—	36	1	no	—
1312	D₄	—	36	1	no	—
1313	D₄	—	36	1	no	—
1314	D₄	—	36	1	no	—
1315	D₄	—	36	1	no	—
1316	D₄	—	36	1	no	—
1317	D₄	—	36	1	no	—
1318	D₄	—	36	1	no	—
1319	D₄	—	36	1	no	—
1320	D₄	—	36	1	no	—
1321	D₄	—	36	1	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	9	1	no	—
1325	C₂×C₄	—	9	1	no	—
1326	C₂×C₄	—	9	1	no	—
1327	C₂×C₄	—	9	1	no	—
1328	C₂×C₄	—	9	1	no	—
1329	C₂×C₄	—	9	1	no	—
1330	C₂×C₄	—	9	1	no	—
1331	C₂×C₄	—	9	1	no	—
1332	C₂×C₄	—	9	1	no	—
1333	C₂×C₄	—	9	1	no	—
1334	C₂×C₄	—	9	1	no	—
1335	C₂×C₄	—	36	1	no	—
1336	C₂×C₄	—	36	1	no	—
1337	C₂×C₄	—	36	1	no	—
1338	C₂×C₄	—	36	1	no	—
1339	C₂×C₄	—	36	1	no	—
1340	C₂×C₄	—	36	1	no	—
1341	C₂×C₄	—	36	1	no	—
1342	C₂×C₄	—	36	1	no	—
1343	C₂×C₄	—	36	1	no	—
1344	C₂×C₄	—	36	1	no	—
1345	C₂×C₄	—	36	1	no	—
1346	C₂×C₄	—	36	1	no	—
1347	C₂×C₄	—	36	1	no	—
1348	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1349	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1350	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1351	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1352	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1353	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1354	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1355	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1356	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1357	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1358	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1359	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1360	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
1361	C₂×C₃	—	4	4	no	—
1362	C₂×C₃	—	4	4	no	—
1363	C₂×C₃	#5964	1	4	yes	—
1364	C₂×C₃	#5964	1	4	yes	—
1365	C₂×C₃	#5968	1	4	yes	—
1366	D₃	—	12	4	no	—
1367	D₃	—	12	4	no	—
1368	D₃	—	12	4	no	—
1369	D₃	—	12	4	no	—
1370	D₃	—	12	4	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	18	1	no	—
1378	C₂²	—	18	1	no	—
1379	C₂²	—	18	1	no	—
1380	C₂²	—	18	1	no	—
1381	C₂²	—	18	1	no	—
1382	C₂²	—	18	1	no	—
1383	C₂²	—	18	1	no	—
1384	C₂²	—	18	1	no	—
1385	C₂²	—	18	1	no	—
1386	C₂²	—	18	1	no	—
1387	C₂²	—	18	1	no	—
1388	C₂²	—	18	1	no	—
1389	C₂²	—	18	1	no	—
1390	C₂²	—	18	1	no	—
1391	C₂²	—	18	1	no	—
1392	C₂²	—	72	2	no	—
1393	C₂²	—	72	2	no	—
1394	C₂²	C₂⁴×C₃⋊D₃	1	1	yes	characteristic
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	2	1	no	—
1403	C₄	—	2	1	no	—
1404	C₄	—	2	1	no	—
1405	C₄	—	2	1	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	1	no	—
1408	C₄	—	18	1	no	—
1409	C₄	—	18	1	no	—
1410	C₄	—	18	1	no	—
1411	C₄	—	18	1	no	—
1412	C₄	—	18	1	no	—
1413	C₄	—	18	1	no	—
1414	C₄	—	18	1	no	—
1415	C₄	—	18	1	no	—
1416	C₄	—	18	1	no	—
1417	C₄	—	18	1	no	—
1418	C₄	—	18	1	no	—
1419	C₃	#87002	1	4	yes	complemented
1420	C₂	—	4	1	no	—
1421	C₂	—	4	1	no	—
1422	C₂	—	36	1	no	—
1423	C₂	—	36	1	no	—
1424	C₂	—	36	1	no	—
1425	C₂	—	36	1	no	—
1426	C₂	—	36	1	no	—
1427	C₂	#10596756	1	1	yes	characteristic
1428	C₂	#10596756	1	1	yes	characteristic
1429	C₂	#10596760	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#556	C₂
hypercenter	#556	C₃⋊D₃
hypocenter	C₃²	#3568
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. C₃²×#556	C₂	semidirect
2. #10596206	C₂	semidirect
3. #10596204	C₂	semidirect
4. #10596183	C₂	semidirect
5. #10596177	C₂	semidirect
6. #10596176	C₂	semidirect
7. #10596175	C₂	semidirect
8. #10596175	C₂	semidirect
9. #10596175	C₂	semidirect
10. #10596173	C₂	semidirect
11. #10596173	C₂	semidirect
12. #10596154	C₂	semidirect
13. #10596150	C₂	semidirect
14. #10596149	C₂	semidirect
15. #10596140	C₂	semidirect
16. #10596117	C₂	semidirect
17. #10596115	C₂	semidirect
18. #10596111	C₂	semidirect
19. #10596108	C₂	semidirect
20. #10596055	C₂	semidirect
21. #10596053	C₂	semidirect
22. #10596053	C₂	semidirect
23. #10596051	C₂	semidirect
24. #10596039	C₂	semidirect
25. #10596039	C₂	semidirect
26. #10596031	C₂	semidirect
27. #10596027	C₂	semidirect
28. #10596005	C₂	semidirect
29. #10595999	C₂	semidirect
30. #10595998	C₂	semidirect
31. #10595998	C₂	semidirect
33. C₃²×C₄⋊Q₈	C₂²	semidirect
34. C₃²×#126	C₂²	semidirect
35. C₃²×#126	C₂²	semidirect
36. C₃²×#126	C₂²	semidirect
37. C₃²×#126	C₂²	semidirect
40. C₃²×C₂²⋊Q₈	C₂²	semidirect
41. C₃²×C₂²⋊Q₈	C₂²	semidirect
42. C₃²×C₄×Q₈	C₂²	semidirect
43. C₃²×C₄×Q₈	C₂²	semidirect
44. C₃²×C₄×Q₈	C₂²	semidirect
46. C₃²×#117	C₂²	semidirect
47. C₃²×#117	C₂²	semidirect
51. #64156	C₂²	semidirect
52. #64156	C₂²	semidirect
53. #64155	C₂²	semidirect
54. #64155	C₂²	semidirect
55. #64155	C₂²	semidirect
56. #64155	C₂²	semidirect
57. #64155	C₂²	semidirect
58. #64153	C₂²	semidirect
59. #64153	C₂²	semidirect
68. C₄×#638	C₂²	semidirect
69. C₂×#3752	C₂²	semidirect
70. C₂×#3752	C₂²	semidirect
71. #64133	C₂²	semidirect
72. #64107	C₂²	semidirect
73. #64107	C₂²	semidirect
74. #64107	C₂²	semidirect
75. #64107	C₂²	semidirect
76. #64107	C₂²	semidirect
77. #64107	C₂²	semidirect
78. #64107	C₂²	semidirect
79. #64107	C₂²	semidirect
80. #64107	C₂²	semidirect
81. #64107	C₂²	semidirect
82. #64107	C₂²	semidirect
83. #64107	C₂²	semidirect
84. #64106	C₂²	semidirect
85. #64105	C₂²	semidirect
86. #64105	C₂²	semidirect
87. #64105	C₂²	semidirect
88. #64105	C₂²	semidirect
89. #64105	C₂²	semidirect
90. #64105	C₂²	semidirect
91. #64105	C₂²	semidirect
92. #64105	C₂²	semidirect
93. #64105	C₂²	semidirect
103. #64103	C₂²	semidirect
104. #64103	C₂²	semidirect
105. #64103	C₂²	semidirect
106. #64103	C₂²	semidirect
109. #64102	C₂²	semidirect
110. #64101	C₂²	semidirect
111. #64101	C₂²	semidirect
112. #64099	C₂²	semidirect
113. #64098	C₂²	semidirect
114. #64098	C₂²	semidirect
115. #64097	C₂²	semidirect
116. #64097	C₂²	semidirect
117. #64096	C₂²	semidirect
118. #64096	C₂²	semidirect
119. #64096	C₂²	semidirect
127. #64094	C₂²	semidirect
128. #64094	C₂²	semidirect
135. #64092	C₂²	semidirect
136. #64092	C₂²	semidirect
141. #64091	C₂²	semidirect
142. #64091	C₂²	semidirect
146. #64090	C₂²	semidirect
147. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
148. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
149. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
150. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
151. #64088	C₂²	semidirect
152. #64088	C₂²	semidirect
153. #64088	C₂²	semidirect
154. #64088	C₂²	semidirect
155. #64087	C₂²	semidirect
156. #64087	C₂²	semidirect
157. #64087	C₂²	semidirect
158. #64086	C₂²	semidirect
159. #64086	C₂²	semidirect
160. #64085	C₂²	semidirect
161. #64085	C₂²	semidirect
162. #64085	C₂²	semidirect
163. #64085	C₂²	semidirect
164. #64085	C₂²	semidirect
165. #64085	C₂²	semidirect
170. #64084	C₂²	semidirect
171. #64084	C₂²	semidirect
174. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
175. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
176. C₄×C₄⋊(C₃⋊D₃)	C₂²	semidirect
177. #64081	C₂²	semidirect
178. #64081	C₂²	semidirect
179. #64081	C₂²	semidirect
180. #64081	C₂²	semidirect
181. #64081	C₂²	semidirect
182. #64081	C₂²	semidirect
183. C₄²×C₃⋊D₃	C₂²	semidirect
184. #64078	C₂²	semidirect
185. C₄×#634	C₂²	semidirect
186. C₄×#634	C₂²	semidirect
187. C₄×#634	C₂²	semidirect
188. C₃×#556	D₃	semidirect
375. C₃×C₄⋊Q₈	C₂×D₃	semidirect
376. C₃×#126	C₂×D₃	semidirect
377. C₃×#126	C₂×D₃	semidirect
378. C₃×#126	C₂×D₃	semidirect
379. C₃×#126	C₂×D₃	semidirect
382. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
383. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
384. C₃×C₄×Q₈	C₂×D₃	semidirect
385. C₃×C₄×Q₈	C₂×D₃	semidirect
386. C₃×C₄×Q₈	C₂×D₃	semidirect
388. C₃×#117	C₂×D₃	semidirect
389. C₃×#117	C₂×D₃	semidirect
615. #556	C₃⋊D₃	semidirect
845. C₄⋊Q₈	C₂×C₃⋊D₃	semidirect
868. #126	C₂×C₃⋊D₃	semidirect
869. #126	C₂×C₃⋊D₃	semidirect
870. #126	C₂×C₃⋊D₃	semidirect
871. #126	C₂×C₃⋊D₃	semidirect
933. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
934. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
958. C₄×Q₈	C₂×C₃⋊D₃	semidirect
959. C₄×Q₈	C₂×C₃⋊D₃	semidirect
960. C₄×Q₈	C₂×C₃⋊D₃	semidirect
986. #117	C₂×C₃⋊D₃	semidirect
987. #117	C₂×C₃⋊D₃	semidirect
1284. C₃²	#3568	semidirect
1419. C₃	#87002	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#556	2
#10596206	2
#10596204	2
#10596183	2
#10596177	2
#10596176	2
#10596175	2
#10596173	2
#10596154	2
#10596150	2
#10596149	2
#10596140	2
#10596117	2
#10596115	2
#10596111	2
#10596108	2
#10596055	2
#10596053	2
#10596051	2
#10596039	2
#10596031	2
#10596027	2
#10596005	2
#10595999	2
#10595998	2
#87002	3