Subgroups — #11918321

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×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#10596183	C₂	1	1	yes	maximal, characteristic, complemented
3	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
5	#10596173	C₂	1	1	yes	maximal, characteristic, complemented
6	#10596153	C₂	1	1	yes	maximal, characteristic, complemented
7	#10596150	C₂	1	1	yes	maximal, characteristic, complemented
8	#10596142	C₂	1	1	yes	maximal, characteristic, complemented
9	#10596140	C₂	1	1	yes	maximal, characteristic, complemented
10	#10596133	C₂	1	1	yes	maximal, characteristic, complemented
11	#10596129	C₂	1	1	yes	maximal, characteristic, complemented
12	#10596122	C₂	1	1	yes	maximal, characteristic, complemented
13	#10596120	C₂	1	1	yes	maximal, characteristic, complemented
14	#10596117	C₂	1	1	yes	maximal, characteristic, complemented
15	#10596112	C₂	1	1	yes	maximal, characteristic, complemented
16	#10596088	C₂	1	1	yes	maximal, characteristic, complemented
17	#10596084	C₂	1	1	yes	maximal, characteristic, complemented
18	#10596084	C₂	1	1	yes	maximal, characteristic, complemented
19	#10596074	C₂	1	1	yes	maximal, characteristic, complemented
20	#10596074	C₂	1	1	yes	maximal, characteristic, complemented
21	#10596071	C₂	1	1	yes	maximal, characteristic, complemented
22	#10596065	C₂	1	1	yes	maximal, characteristic, complemented
23	#10596064	C₂	1	1	yes	maximal, characteristic, complemented
24	#10596064	C₂	1	1	yes	maximal, characteristic, complemented
25	#10596058	C₂	1	1	yes	maximal, characteristic, complemented
26	#10596032	C₂	1	1	yes	maximal, characteristic, complemented
27	#10596027	C₂	1	1	yes	maximal, characteristic, complemented
28	#10596013	C₂	1	1	yes	maximal, characteristic, complemented
29	#10596009	C₂	1	1	yes	maximal, characteristic, complemented
30	#10595966	C₂	1	1	yes	maximal, characteristic, complemented
31	#10595966	C₂	1	1	yes	maximal, characteristic, complemented
32	#86412	—	3	4	no	maximal
33	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#124	C₂²	1	1	yes	characteristic
36	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
37	C₃²×#123	C₂²	1	1	yes	characteristic
38	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
39	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₃²×#121	C₂²	1	1	yes	characteristic
41	C₃²×#121	C₂²	1	1	yes	characteristic
42	C₃²×#121	C₂²	1	1	yes	characteristic
43	C₃²×#120	C₂²	1	1	yes	characteristic
44	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
45	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	#64162	C₂²	1	1	yes	characteristic
49	#64162	C₂²	1	1	yes	characteristic
50	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
51	C₂×#3757	C₂²	1	1	yes	characteristic, complemented
52	#64155	C₂²	1	1	yes	characteristic, complemented
53	#64155	C₂²	1	1	yes	characteristic, complemented
54	Q₈×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
55	#64153	C₂²	1	1	yes	characteristic, complemented
56	#64148	C₂²	1	1	yes	characteristic
57	#64148	C₂²	1	1	yes	characteristic
58	#64148	C₂²	1	1	yes	characteristic
59	#64148	C₂²	1	1	yes	characteristic
60	#64147	C₂²	1	1	yes	characteristic
61	#64147	C₂²	1	1	yes	characteristic
62	#64146	C₂²	1	1	yes	characteristic
63	#64146	C₂²	1	1	yes	characteristic
64	#64146	C₂²	1	1	yes	characteristic
65	#64146	C₂²	1	1	yes	characteristic, complemented
66	#64145	C₂²	1	1	yes	characteristic
67	#64145	C₂²	1	1	yes	characteristic
68	#64145	C₂²	1	1	yes	characteristic
69	#64145	C₂²	1	1	yes	characteristic
70	#64145	C₂²	1	1	yes	characteristic, complemented
71	#64145	C₂²	1	1	yes	characteristic, complemented
72	#64145	C₂²	1	1	yes	characteristic, complemented
73	#64144	C₂²	1	1	yes	characteristic
74	#64144	C₂²	1	1	yes	characteristic
75	#64144	C₂²	1	1	yes	characteristic
76	#64144	C₂²	1	1	yes	characteristic, complemented
77	#64144	C₂²	1	1	yes	characteristic, complemented
78	#64144	C₂²	1	1	yes	characteristic, complemented
79	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic
80	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic
81	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
82	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
83	D₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
84	#64138	C₂²	1	1	yes	characteristic
85	#64138	C₂²	1	1	yes	characteristic
86	#64138	C₂²	1	1	yes	characteristic, complemented
87	C₄×#638	C₂²	1	1	yes	characteristic
88	C₄×#638	C₂²	1	1	yes	characteristic
89	C₄×#638	C₂²	1	1	yes	characteristic, complemented
90	C₂×#3752	C₂²	1	1	yes	characteristic, complemented
91	#64135	C₂²	1	1	yes	characteristic, complemented
92	#64135	C₂²	1	1	yes	characteristic, complemented
93	#64135	C₂²	1	1	yes	characteristic, complemented
94	#64133	C₂²	1	1	yes	characteristic, complemented
95	#64133	C₂²	1	1	yes	characteristic, complemented
96	#64133	C₂²	1	1	yes	characteristic, complemented
97	#64133	C₂²	1	1	yes	characteristic, complemented
98	#64133	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
100	#64107	C₂²	1	1	yes	characteristic, complemented
101	#64107	C₂²	1	1	yes	characteristic, complemented
102	#64107	C₂²	1	1	yes	characteristic, complemented
103	#64107	C₂²	1	1	yes	characteristic, complemented
104	#64107	C₂²	1	1	yes	characteristic, complemented
105	#64107	C₂²	1	1	yes	characteristic, complemented
106	#64107	C₂²	1	1	yes	characteristic, complemented
107	#64106	C₂²	1	1	yes	characteristic, complemented
108	#64105	C₂²	1	1	yes	characteristic, complemented
109	#64105	C₂²	1	1	yes	characteristic, complemented
110	#64105	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	#64097	C₂²	1	1	yes	characteristic, complemented
118	#64097	C₂²	1	1	yes	characteristic, complemented
119	#64096	C₂²	1	1	yes	characteristic, complemented
120	#64096	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
125	#64095	C₂²	1	1	yes	characteristic
126	#64095	C₂²	1	1	yes	characteristic, complemented
127	#64094	C₂²	1	1	yes	characteristic
128	#64094	C₂²	1	1	yes	characteristic
129	#64094	C₂²	1	1	yes	characteristic
130	#64094	C₂²	1	1	yes	characteristic
131	#64094	C₂²	1	1	yes	characteristic
132	#64094	C₂²	1	1	yes	characteristic
133	#64094	C₂²	1	1	yes	characteristic
134	#64094	C₂²	1	1	yes	characteristic
135	#64094	C₂²	1	1	yes	characteristic
136	#64094	C₂²	1	1	yes	characteristic
137	#64094	C₂²	1	1	yes	characteristic, complemented
138	#64094	C₂²	1	1	yes	characteristic, complemented
139	#64092	C₂²	1	1	yes	characteristic
140	#64092	C₂²	1	1	yes	characteristic
141	#64092	C₂²	1	1	yes	characteristic
142	#64092	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
146	#64090	C₂²	1	1	yes	characteristic
147	#64090	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	#64088	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	#64088	C₂²	1	1	yes	characteristic, complemented
156	#64088	C₂²	1	1	yes	characteristic, complemented
157	#64088	C₂²	1	1	yes	characteristic, complemented
158	#64088	C₂²	1	1	yes	characteristic, complemented
159	#64088	C₂²	1	1	yes	characteristic, complemented
160	#64088	C₂²	1	1	yes	characteristic, complemented
161	#64088	C₂²	1	1	yes	characteristic, complemented
162	#64088	C₂²	1	1	yes	characteristic, complemented
163	#64088	C₂²	1	1	yes	characteristic, complemented
164	#64088	C₂²	1	1	yes	characteristic, complemented
165	#64088	C₂²	1	1	yes	characteristic, complemented
166	#64087	C₂²	1	1	yes	characteristic, complemented
167	#64087	C₂²	1	1	yes	characteristic, complemented
168	#64087	C₂²	1	1	yes	characteristic, complemented
169	#64087	C₂²	1	1	yes	characteristic, complemented
170	#64087	C₂²	1	1	yes	characteristic, complemented
171	#64087	C₂²	1	1	yes	characteristic, complemented
172	#64087	C₂²	1	1	yes	characteristic, complemented
173	#64087	C₂²	1	1	yes	characteristic, complemented
174	#64087	C₂²	1	1	yes	characteristic, complemented
175	#64086	C₂²	1	1	yes	characteristic, complemented
176	#64086	C₂²	1	1	yes	characteristic, complemented
177	#64086	C₂²	1	1	yes	characteristic, complemented
178	#64086	C₂²	1	1	yes	characteristic, complemented
179	#64086	C₂²	1	1	yes	characteristic, complemented
180	#64085	C₂²	1	1	yes	characteristic, complemented
181	#64081	C₂²	1	1	yes	characteristic, complemented
182	#64081	C₂²	1	1	yes	characteristic, complemented
183	#64081	C₂²	1	1	yes	characteristic, complemented
184	#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×#538	D₃	1	4	yes	complemented
189	#5712	—	3	4	no	—
190	#5702	—	3	4	no	—
191	#5702	—	3	4	no	—
192	#5702	—	3	4	no	—
193	#5682	—	3	4	no	—
194	#5679	—	3	4	no	—
195	#5671	—	3	4	no	—
196	#5669	—	3	4	no	—
197	#5662	—	3	4	no	—
198	#5658	—	3	4	no	—
199	#5651	—	3	4	no	—
200	#5649	—	3	4	no	—
201	#5646	—	3	4	no	—
202	#5641	—	3	4	no	—
203	#5617	—	3	4	no	—
204	#5613	—	3	4	no	—
205	#5613	—	3	4	no	—
206	#5603	—	3	4	no	—
207	#5603	—	3	4	no	—
208	#5600	—	3	4	no	—
209	#5594	—	3	4	no	—
210	#5593	—	3	4	no	—
211	#5593	—	3	4	no	—
212	#5587	—	3	4	no	—
213	#5561	—	3	4	no	—
214	#5556	—	3	4	no	—
215	#5542	—	3	4	no	—
216	#5538	—	3	4	no	—
217	#5495	—	3	4	no	—
218	#5495	—	3	4	no	—
219	C₂⁴×C₃²	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	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
230	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
231	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
232	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
233	C₂×#638	C₂³	1	1	yes	characteristic
234	C₂×#638	C₂³	1	1	yes	characteristic
235	C₂×#638	C₂³	1	1	yes	characteristic
236	C₂×#638	C₂³	1	1	yes	characteristic
237	C₂×#638	C₂³	1	1	yes	characteristic
238	C₂×#638	C₂³	1	1	yes	characteristic
239	C₂×#638	C₂³	1	1	yes	characteristic
240	C₂×#638	C₂³	1	1	yes	characteristic
241	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	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
245	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
246	C₂²×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
247	C₂²×C₃⋊Dic₃	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×#634	C₂³	1	1	yes	characteristic
253	C₂×#634	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₃²×C₂²⋊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×C₄²	C₂³	1	1	yes	characteristic
281	C₃²×C₄²	C₂³	1	1	yes	characteristic
282	#3757	C₂³	1	1	yes	characteristic
283	#3757	C₂³	1	1	yes	characteristic
284	#3757	C₂³	1	1	yes	characteristic
285	#3757	C₂³	1	1	yes	characteristic
286	#3757	C₂³	1	1	yes	characteristic
287	#3757	C₂³	1	1	yes	characteristic
288	#3757	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	#3757	C₂³	1	1	yes	characteristic
296	#3757	C₂³	1	1	yes	characteristic
297	#3757	C₂³	1	1	yes	characteristic
298	#3757	C₂³	1	1	yes	characteristic
299	#3757	C₂³	1	1	yes	characteristic
300	#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	#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	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
323	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
324	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
325	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
326	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
327	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
328	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
331	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
332	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₃⋊Dic₃)	C₂³	1	1	yes	characteristic
334	#3750	C₂³	1	1	yes	characteristic
335	#3750	C₂³	1	1	yes	characteristic
336	#3750	C₂³	1	1	yes	characteristic
337	#3750	C₂³	1	1	yes	characteristic
338	#3750	C₂³	1	1	yes	characteristic
339	#3750	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	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
359	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
360	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
361	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
362	C₄×C₃⋊Dic₃	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×#126	C₂×D₃	1	4	yes	complemented
376	C₃×#126	C₂×D₃	1	4	yes	complemented
377	C₃×#124	C₂×D₃	1	4	yes	—
378	C₃×#124	C₂×D₃	1	4	yes	complemented
379	C₃×#123	C₂×D₃	1	4	yes	—
380	C₃×#123	C₂×D₃	1	4	yes	complemented
381	C₃×C₂²⋊Q₈	C₂×D₃	1	4	yes	complemented
382	C₃×#121	C₂×D₃	1	4	yes	—
383	C₃×#121	C₂×D₃	1	4	yes	—
384	C₃×#121	C₂×D₃	1	4	yes	—
385	C₃×#120	C₂×D₃	1	4	yes	—
386	C₃×#120	C₂×D₃	1	4	yes	complemented
387	C₃×C₄×D₄	C₂×D₃	1	4	yes	—
388	C₃×C₄×D₄	C₂×D₃	1	4	yes	complemented
389	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	4	yes	complemented
390	#953	—	3	4	no	—
391	#953	—	3	4	no	—
392	C₂×#217	—	3	4	no	—
393	C₂×#217	—	3	4	no	—
394	#946	—	3	4	no	—
395	#946	—	3	4	no	—
396	Q₈×Dic₃	—	3	4	no	—
397	#944	—	3	4	no	—
398	#939	—	3	4	no	—
399	#939	—	3	4	no	—
400	#939	—	3	4	no	—
401	#939	—	3	4	no	—
402	#938	—	3	4	no	—
403	#938	—	3	4	no	—
404	#937	—	3	4	no	—
405	#937	—	3	4	no	—
406	#937	—	3	4	no	—
407	#937	—	3	4	no	—
408	#936	—	3	4	no	—
409	#936	—	3	4	no	—
410	#936	—	3	4	no	—
411	#936	—	3	4	no	—
412	#936	—	3	4	no	—
413	#936	—	3	4	no	—
414	#936	—	3	4	no	—
415	#935	—	3	4	no	—
416	#935	—	3	4	no	—
417	#935	—	3	4	no	—
418	#935	—	3	4	no	—
419	#935	—	3	4	no	—
420	#935	—	3	4	no	—
421	D₄×Dic₃	—	3	4	no	—
422	D₄×Dic₃	—	3	4	no	—
423	D₄×Dic₃	—	3	4	no	—
424	D₄×Dic₃	—	3	4	no	—
425	D₄×Dic₃	—	3	4	no	—
426	#929	—	3	4	no	—
427	#929	—	3	4	no	—
428	#929	—	3	4	no	—
429	C₄×#67	—	3	4	no	—
430	C₄×#67	—	3	4	no	—
431	C₄×#67	—	3	4	no	—
432	C₂×(C₂×D₃)⋊C₄	—	3	4	no	—
433	#926	—	3	4	no	—
434	#926	—	3	4	no	—
435	#926	—	3	4	no	—
436	#924	—	3	4	no	—
437	#924	—	3	4	no	—
438	#924	—	3	4	no	—
439	#924	—	3	4	no	—
440	#924	—	3	4	no	—
441	C₂×C₄×Dic₃	—	3	4	no	—
442	#898	—	3	4	no	—
443	#898	—	3	4	no	—
444	#898	—	3	4	no	—
445	#898	—	3	4	no	—
446	#898	—	3	4	no	—
447	#898	—	3	4	no	—
448	#898	—	3	4	no	—
449	#897	—	3	4	no	—
450	#896	—	3	4	no	—
451	#896	—	3	4	no	—
452	#896	—	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	#888	—	3	4	no	—
460	#888	—	3	4	no	—
461	#887	—	3	4	no	—
462	#887	—	3	4	no	—
463	#887	—	3	4	no	—
464	#887	—	3	4	no	—
465	#887	—	3	4	no	—
466	#886	—	3	4	no	—
467	#886	—	3	4	no	—
468	#886	—	3	4	no	—
469	#885	—	3	4	no	—
470	#885	—	3	4	no	—
471	#885	—	3	4	no	—
472	#885	—	3	4	no	—
473	#885	—	3	4	no	—
474	#885	—	3	4	no	—
475	#885	—	3	4	no	—
476	#885	—	3	4	no	—
477	#885	—	3	4	no	—
478	#885	—	3	4	no	—
479	#885	—	3	4	no	—
480	#885	—	3	4	no	—
481	#883	—	3	4	no	—
482	#883	—	3	4	no	—
483	#883	—	3	4	no	—
484	#883	—	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	#67⋊C₄	—	3	4	no	—
490	D₃×C₂²⋊C₄	—	3	4	no	—
491	D₃×C₂²⋊C₄	—	3	4	no	—
492	#879	—	3	4	no	—
493	#879	—	3	4	no	—
494	#879	—	3	4	no	—
495	#879	—	3	4	no	—
496	#879	—	3	4	no	—
497	#879	—	3	4	no	—
498	#879	—	3	4	no	—
499	#879	—	3	4	no	—
500	#879	—	3	4	no	—
501	#879	—	3	4	no	—
502	#879	—	3	4	no	—
503	#879	—	3	4	no	—
504	#879	—	3	4	no	—
505	#879	—	3	4	no	—
506	#879	—	3	4	no	—
507	#879	—	3	4	no	—
508	#878	—	3	4	no	—
509	#878	—	3	4	no	—
510	#878	—	3	4	no	—
511	#878	—	3	4	no	—
512	#878	—	3	4	no	—
513	#878	—	3	4	no	—
514	#878	—	3	4	no	—
515	#878	—	3	4	no	—
516	#878	—	3	4	no	—
517	#877	—	3	4	no	—
518	#877	—	3	4	no	—
519	#877	—	3	4	no	—
520	#877	—	3	4	no	—
521	#877	—	3	4	no	—
522	#876	—	3	4	no	—
523	#872	—	3	4	no	—
524	#872	—	3	4	no	—
525	#872	—	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	—	4	1	no	—
531	C₂³×C₃²	—	4	1	no	—
532	C₂³×C₃²	—	4	1	no	—
533	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
534	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
535	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
536	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
537	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
538	C₂²×C₃⋊D₃	—	4	1	no	—
539	C₂²×C₃⋊D₃	—	4	1	no	—
540	C₂²×C₃⋊D₃	—	4	1	no	—
541	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₃⋊D₃	C₂⁴	1	1	yes	characteristic
543	C₃²×Q₈	—	4	1	no	—
544	C₃²×D₄	—	4	1	no	—
545	C₃²×D₄	—	4	1	no	—
546	C₃²×D₄	—	4	1	no	—
547	C₃²×D₄	—	4	1	no	—
548	C₃²×D₄	—	4	1	no	—
549	C₃²×D₄	—	4	1	no	—
550	C₃²×D₄	—	4	1	no	—
551	C₂×C₃²×C₄	—	4	1	no	—
552	C₂×C₃²×C₄	—	4	1	no	—
553	C₂×C₃²×C₄	—	4	1	no	—
554	C₂×C₃²×C₄	—	4	1	no	—
555	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
558	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
559	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
560	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
562	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
564	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
565	#638	—	4	1	no	—
566	#638	—	4	1	no	—
567	#638	—	4	1	no	—
568	#638	—	4	1	no	—
569	#638	—	4	1	no	—
570	#638	—	4	1	no	—
571	#638	—	4	1	no	—
572	#638	—	4	1	no	—
573	C₂×C₃⋊Dic₃	—	4	1	no	—
574	C₂×C₃⋊Dic₃	—	4	1	no	—
575	C₂×C₃⋊Dic₃	—	4	1	no	—
576	C₂×C₃⋊Dic₃	—	4	1	no	—
577	C₂×C₃⋊Dic₃	—	4	1	no	—
578	C₂×C₃⋊Dic₃	—	4	1	no	—
579	C₂×C₃⋊Dic₃	—	4	1	no	—
580	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₃⋊Dic₃	C₂⁴	1	1	yes	characteristic
586	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	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	#634	—	4	1	no	—
599	#634	—	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	—	9	1	no	—
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	C₃⋊D₃	1	1	yes	characteristic, complemented
634	#529	—	9	1	no	—
635	#529	—	9	1	no	—
636	#529	—	9	1	no	—
637	C₂⁴×C₃	C₂²×D₃	1	4	yes	—
638	C₂³×D₃	—	3	4	no	—
639	C₂×C₃×Q₈	C₂²×D₃	1	4	yes	—
640	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
641	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
642	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
643	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
644	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
645	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
646	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
647	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
648	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
649	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
650	C₂²×C₃×C₄	C₂²×D₃	1	4	yes	—
651	C₂×#67	—	3	4	no	—
652	C₂×#67	—	3	4	no	—
653	C₂×#67	—	3	4	no	—
654	C₂×#67	—	3	4	no	—
655	C₂×#67	—	3	4	no	—
656	C₂×#67	—	3	4	no	—
657	C₂×#67	—	3	4	no	—
658	C₂×#67	—	3	4	no	—
659	C₂²×Dic₃	—	3	4	no	—
660	C₂²×Dic₃	—	3	4	no	—
661	C₂²×Dic₃	—	3	4	no	—
662	C₂²×Dic₃	—	3	4	no	—
663	C₂²×Dic₃	—	3	4	no	—
664	C₂²×Dic₃	—	3	4	no	—
665	C₂²×Dic₃	—	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×Dic₆	—	3	4	no	—
671	C₂×Dic₆	—	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×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
685	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
686	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
687	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
688	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
689	C₃×C₂²⋊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×C₄²	C₂²×D₃	1	4	yes	—
699	C₃×C₄²	C₂²×D₃	1	4	yes	—
700	#217	—	3	4	no	—
701	#217	—	3	4	no	—
702	#217	—	3	4	no	—
703	#217	—	3	4	no	—
704	#217	—	3	4	no	—
705	#217	—	3	4	no	—
706	#217	—	3	4	no	—
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	#217	—	3	4	no	—
714	#217	—	3	4	no	—
715	#217	—	3	4	no	—
716	#217	—	3	4	no	—
717	#217	—	3	4	no	—
718	#217	—	3	4	no	—
719	#217	—	3	4	no	—
720	#217	—	3	4	no	—
721	#217	—	3	4	no	—
722	#217	—	3	4	no	—
723	#217	—	3	4	no	—
724	(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	C₄⋊Dic₃	—	3	4	no	—
741	C₄⋊Dic₃	—	3	4	no	—
742	C₄⋊Dic₃	—	3	4	no	—
743	C₄⋊Dic₃	—	3	4	no	—
744	C₄⋊Dic₃	—	3	4	no	—
745	C₄⋊Dic₃	—	3	4	no	—
746	C₄⋊Dic₃	—	3	4	no	—
747	C₄⋊Dic₃	—	3	4	no	—
748	C₄⋊Dic₃	—	3	4	no	—
749	C₄⋊Dic₃	—	3	4	no	—
750	C₄⋊Dic₃	—	3	4	no	—
751	C₄⋊Dic₃	—	3	4	no	—
752	Dic₃⋊C₄	—	3	4	no	—
753	Dic₃⋊C₄	—	3	4	no	—
754	Dic₃⋊C₄	—	3	4	no	—
755	Dic₃⋊C₄	—	3	4	no	—
756	Dic₃⋊C₄	—	3	4	no	—
757	Dic₃⋊C₄	—	3	4	no	—
758	Dic₃⋊C₄	—	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	C₄×Dic₃	—	3	4	no	—
777	C₄×Dic₃	—	3	4	no	—
778	C₄×Dic₃	—	3	4	no	—
779	C₄×Dic₃	—	3	4	no	—
780	C₄×Dic₃	—	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	—	2	1	no	—
799	C₂²×C₃²	—	2	1	no	—
800	C₂²×C₃²	—	2	1	no	—
801	C₂²×C₃²	—	2	1	no	—
802	C₂²×C₃²	—	2	1	no	—
803	C₂²×C₃²	—	2	1	no	—
804	C₂²×C₃²	—	2	1	no	—
805	C₂²×C₃²	—	2	1	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	—	8	2	no	—
808	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
809	C₂×C₃⋊D₃	—	2	1	no	—
810	C₂×C₃⋊D₃	—	2	1	no	—
811	C₂×C₃⋊D₃	—	2	1	no	—
812	C₂×C₃⋊D₃	—	2	1	no	—
813	C₂×C₃⋊D₃	—	2	1	no	—
814	C₂×C₃⋊D₃	—	2	1	no	—
815	C₂×C₃⋊D₃	—	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	C₃⋊Dic₃	—	2	1	no	—
827	C₃⋊Dic₃	—	2	1	no	—
828	C₃⋊Dic₃	—	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	—	9	1	no	—
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	—	9	1	no	—
869	#126	—	9	1	no	—
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, complemented
896	#123	—	9	1	no	—
897	#123	—	9	1	no	—
898	#123	—	9	1	no	—
899	#123	—	9	1	no	—
900	#123	—	9	1	no	—
901	#123	—	9	1	no	—
902	#123	—	9	1	no	—
903	#123	—	9	1	no	—
904	#123	—	9	1	no	—
905	#123	—	9	1	no	—
906	#123	—	9	1	no	—
907	#123	—	9	1	no	—
908	#123	—	9	1	no	—
909	#123	—	9	1	no	—
910	#123	—	9	1	no	—
911	#123	—	9	1	no	—
912	#123	C₂×C₃⋊D₃	1	1	yes	characteristic
913	#123	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
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	C₂×C₃⋊D₃	1	1	yes	characteristic
942	#121	C₂×C₃⋊D₃	1	1	yes	characteristic
943	#121	C₂×C₃⋊D₃	1	1	yes	characteristic
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	C₂×C₃⋊D₃	1	1	yes	characteristic
951	#120	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	—	9	1	no	—
959	C₄×Q₈	—	9	1	no	—
960	C₄×Q₈	—	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	—	9	1	no	—
972	C₄×D₄	—	9	1	no	—
973	C₄×D₄	—	9	1	no	—
974	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic
975	C₄×D₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
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	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	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
994	C₂×C₄²	—	9	1	no	—
995	C₂³×C₃	—	4	4	no	—
996	C₂³×C₃	—	4	4	no	—
997	C₂³×C₃	—	4	4	no	—
998	C₂³×C₃	C₂³×D₃	1	4	yes	—
999	C₂³×C₃	C₂³×D₃	1	4	yes	—
1000	C₂³×C₃	C₂³×D₃	1	4	yes	—
1001	C₂³×C₃	C₂³×D₃	1	4	yes	—
1002	C₂³×C₃	C₂³×D₃	1	4	yes	—
1003	C₂²×D₃	—	3	4	no	—
1004	C₂²×D₃	—	3	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×D₄	—	4	4	no	—
1010	C₃×D₄	—	4	4	no	—
1011	C₃×D₄	—	4	4	no	—
1012	C₃×D₄	—	4	4	no	—
1013	C₃×D₄	—	4	4	no	—
1014	C₃×D₄	—	4	4	no	—
1015	C₃×D₄	—	4	4	no	—
1016	C₂×C₃×C₄	—	4	4	no	—
1017	C₂×C₃×C₄	—	4	4	no	—
1018	C₂×C₃×C₄	—	4	4	no	—
1019	C₂×C₃×C₄	—	4	4	no	—
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	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1028	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1029	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
1030	#67	—	12	4	no	—
1031	#67	—	12	4	no	—
1032	#67	—	12	4	no	—
1033	#67	—	12	4	no	—
1034	#67	—	12	4	no	—
1035	#67	—	12	4	no	—
1036	#67	—	12	4	no	—
1037	#67	—	12	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	—	3	4	no	—
1045	C₂×Dic₃	—	3	4	no	—
1046	C₂×Dic₃	—	3	4	no	—
1047	C₂×Dic₃	—	3	4	no	—
1048	C₂×Dic₃	—	3	4	no	—
1049	C₂×Dic₃	—	3	4	no	—
1050	C₂×Dic₃	—	3	4	no	—
1051	C₂×Dic₃	—	3	4	no	—
1052	C₂×Dic₃	—	12	4	no	—
1053	C₂×Dic₃	—	12	4	no	—
1054	C₂×Dic₃	—	12	4	no	—
1055	C₂×Dic₃	—	12	4	no	—
1056	C₂×Dic₃	—	12	4	no	—
1057	C₂×Dic₃	—	12	4	no	—
1058	C₂×Dic₃	—	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	Dic₆	—	12	4	no	—
1064	Dic₆	—	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	—	4	1	no	—
1074	C₂×C₃²	—	4	1	no	—
1075	C₂×C₃²	—	4	1	no	—
1076	C₂×C₃²	#585	1	1	yes	characteristic
1077	C₂×C₃²	#585	1	1	yes	characteristic
1078	C₂×C₃²	#585	1	1	yes	characteristic
1079	C₃⋊D₃	—	4	1	no	—
1080	C₃⋊D₃	—	4	1	no	—
1081	C₂⁴	—	9	1	no	—
1082	C₂⁴	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	—	9	1	no	—
1090	C₂×Q₈	—	9	1	no	—
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	C₂²×C₃⋊D₃	1	1	yes	characteristic
1101	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1102	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1103	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1104	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1105	C₂×D₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	C₂²×C₃⋊D₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	—	9	1	no	—
1153	C₄⋊C₄	—	9	1	no	—
1154	C₄⋊C₄	—	9	1	no	—
1155	C₄⋊C₄	—	9	1	no	—
1156	C₄⋊C₄	—	9	1	no	—
1157	C₄⋊C₄	—	9	1	no	—
1158	C₄⋊C₄	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	C₂²×C₃⋊D₃	1	1	yes	characteristic
1205	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1206	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
1207	C₂²⋊C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
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	—	9	1	no	—
1230	C₄²	—	9	1	no	—
1231	C₄²	—	9	1	no	—
1232	C₄²	—	9	1	no	—
1233	C₄²	—	9	1	no	—
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	—	2	4	no	—
1243	C₂²×C₃	—	2	4	no	—
1244	C₂²×C₃	—	2	4	no	—
1245	C₂²×C₃	—	2	4	no	—
1246	C₂²×C₃	—	2	4	no	—
1247	C₂²×C₃	—	2	4	no	—
1248	C₂²×C₃	—	2	4	no	—
1249	C₂²×C₃	—	2	4	no	—
1250	C₂²×C₃	—	2	4	no	—
1251	C₂²×C₃	—	8	8	no	—
1252	C₂²×C₃	C₂⁴×D₃	1	4	yes	—
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	—	6	4	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	Dic₃	—	6	4	no	—
1271	Dic₃	—	6	4	no	—
1272	Dic₃	—	6	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	—	4	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	4	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	C₂³×C₃⋊D₃	1	1	yes	characteristic
1294	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
1295	C₂³	C₂³×C₃⋊D₃	1	1	yes	characteristic
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	—	36	1	no	—
1300	Q₈	—	36	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	—	4	1	no	—
1309	D₄	—	4	1	no	—
1310	D₄	—	4	1	no	—
1311	D₄	—	4	1	no	—
1312	D₄	—	4	1	no	—
1313	D₄	—	4	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	—	4	1	no	—
1325	C₂×C₄	—	4	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	—	9	1	no	—
1336	C₂×C₄	—	9	1	no	—
1337	C₂×C₄	—	9	1	no	—
1338	C₂×C₄	—	9	1	no	—
1339	C₂×C₄	—	9	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	—	36	1	no	—
1349	C₂×C₄	—	36	1	no	—
1350	C₂×C₄	—	36	1	no	—
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	—	4	4	no	—
1364	C₂×C₃	—	4	4	no	—
1365	C₂×C₃	—	4	4	no	—
1366	C₂×C₃	#5964	1	4	yes	—
1367	C₂×C₃	#5966	1	4	yes	—
1368	C₂×C₃	#5966	1	4	yes	—
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	—	2	1	no	—
1378	C₂²	—	2	1	no	—
1379	C₂²	—	2	1	no	—
1380	C₂²	—	2	1	no	—
1381	C₂²	—	2	1	no	—
1382	C₂²	—	2	1	no	—
1383	C₂²	—	2	1	no	—
1384	C₂²	—	2	1	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	8	2	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	—	18	1	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	—	18	1	no	—
1406	C₄	—	18	1	no	—
1407	C₄	—	18	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	#86412	1	4	yes	complemented
1420	C₂	—	4	1	no	—
1421	C₂	—	4	1	no	—
1422	C₂	—	4	1	no	—
1423	C₂	—	4	1	no	—
1424	C₂	—	4	1	no	—
1425	C₂	—	36	1	no	—
1426	C₂	—	36	1	no	—
1427	C₂	#10596756	1	1	yes	characteristic
1428	C₂	#10596758	1	1	yes	characteristic
1429	C₂	#10596758	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×C₃⋊D₃
commutator, socle, cosocle	C₂²×C₃²	C₂⁵
Fitting	C₃²×#538	C₂
hypercenter	#538	C₃⋊D₃
hypocenter	C₃²	#3568
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. C₃²×#538	C₂	semidirect
2. #10596183	C₂	semidirect
3. #10596173	C₂	semidirect
4. #10596173	C₂	semidirect
5. #10596173	C₂	semidirect
6. #10596153	C₂	semidirect
7. #10596150	C₂	semidirect
8. #10596142	C₂	semidirect
9. #10596140	C₂	semidirect
10. #10596133	C₂	semidirect
11. #10596129	C₂	semidirect
12. #10596122	C₂	semidirect
13. #10596120	C₂	semidirect
14. #10596117	C₂	semidirect
15. #10596112	C₂	semidirect
16. #10596088	C₂	semidirect
17. #10596084	C₂	semidirect
18. #10596084	C₂	semidirect
19. #10596074	C₂	semidirect
20. #10596074	C₂	semidirect
21. #10596071	C₂	semidirect
22. #10596065	C₂	semidirect
23. #10596064	C₂	semidirect
24. #10596064	C₂	semidirect
25. #10596058	C₂	semidirect
26. #10596032	C₂	semidirect
27. #10596027	C₂	semidirect
28. #10596013	C₂	semidirect
29. #10596009	C₂	semidirect
30. #10595966	C₂	semidirect
31. #10595966	C₂	semidirect
33. C₃²×#126	C₂²	semidirect
34. C₃²×#126	C₂²	semidirect
36. C₃²×#124	C₂²	semidirect
38. C₃²×#123	C₂²	semidirect
39. C₃²×C₂²⋊Q₈	C₂²	semidirect
44. C₃²×#120	C₂²	semidirect
46. C₃²×C₄×D₄	C₂²	semidirect
47. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
50. C₂×#3757	C₂²	semidirect
51. C₂×#3757	C₂²	semidirect
52. #64155	C₂²	semidirect
53. #64155	C₂²	semidirect
54. Q₈×C₃⋊Dic₃	C₂²	semidirect
55. #64153	C₂²	semidirect
65. #64146	C₂²	semidirect
70. #64145	C₂²	semidirect
71. #64145	C₂²	semidirect
72. #64145	C₂²	semidirect
76. #64144	C₂²	semidirect
77. #64144	C₂²	semidirect
78. #64144	C₂²	semidirect
81. D₄×C₃⋊Dic₃	C₂²	semidirect
82. D₄×C₃⋊Dic₃	C₂²	semidirect
83. D₄×C₃⋊Dic₃	C₂²	semidirect
86. #64138	C₂²	semidirect
89. C₄×#638	C₂²	semidirect
90. C₂×#3752	C₂²	semidirect
91. #64135	C₂²	semidirect
92. #64135	C₂²	semidirect
93. #64135	C₂²	semidirect
94. #64133	C₂²	semidirect
95. #64133	C₂²	semidirect
96. #64133	C₂²	semidirect
97. #64133	C₂²	semidirect
98. #64133	C₂²	semidirect
99. C₂×C₄×C₃⋊Dic₃	C₂²	semidirect
100. #64107	C₂²	semidirect
101. #64107	C₂²	semidirect
102. #64107	C₂²	semidirect
103. #64107	C₂²	semidirect
104. #64107	C₂²	semidirect
105. #64107	C₂²	semidirect
106. #64107	C₂²	semidirect
107. #64106	C₂²	semidirect
108. #64105	C₂²	semidirect
109. #64105	C₂²	semidirect
110. #64105	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. #64097	C₂²	semidirect
118. #64097	C₂²	semidirect
119. #64096	C₂²	semidirect
120. #64096	C₂²	semidirect
121. #64096	C₂²	semidirect
122. #64096	C₂²	semidirect
123. #64096	C₂²	semidirect
126. #64095	C₂²	semidirect
137. #64094	C₂²	semidirect
138. #64094	C₂²	semidirect
147. #64090	C₂²	semidirect
148. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
149. C₂²⋊C₄×C₃⋊D₃	C₂²	semidirect
150. #64088	C₂²	semidirect
151. #64088	C₂²	semidirect
152. #64088	C₂²	semidirect
153. #64088	C₂²	semidirect
154. #64088	C₂²	semidirect
155. #64088	C₂²	semidirect
156. #64088	C₂²	semidirect
157. #64088	C₂²	semidirect
158. #64088	C₂²	semidirect
159. #64088	C₂²	semidirect
160. #64088	C₂²	semidirect
161. #64088	C₂²	semidirect
162. #64088	C₂²	semidirect
163. #64088	C₂²	semidirect
164. #64088	C₂²	semidirect
165. #64088	C₂²	semidirect
166. #64087	C₂²	semidirect
167. #64087	C₂²	semidirect
168. #64087	C₂²	semidirect
169. #64087	C₂²	semidirect
170. #64087	C₂²	semidirect
171. #64087	C₂²	semidirect
172. #64087	C₂²	semidirect
173. #64087	C₂²	semidirect
174. #64087	C₂²	semidirect
175. #64086	C₂²	semidirect
176. #64086	C₂²	semidirect
177. #64086	C₂²	semidirect
178. #64086	C₂²	semidirect
179. #64086	C₂²	semidirect
180. #64085	C₂²	semidirect
181. #64081	C₂²	semidirect
182. #64081	C₂²	semidirect
183. #64081	C₂²	semidirect
184. #64078	C₂²	semidirect
185. C₄×#634	C₂²	semidirect
186. C₄×#634	C₂²	semidirect
187. C₄×#634	C₂²	semidirect
188. C₃×#538	D₃	semidirect
375. C₃×#126	C₂×D₃	semidirect
376. C₃×#126	C₂×D₃	semidirect
378. C₃×#124	C₂×D₃	semidirect
380. C₃×#123	C₂×D₃	semidirect
381. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
386. C₃×#120	C₂×D₃	semidirect
388. C₃×C₄×D₄	C₂×D₃	semidirect
389. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
633. #538	C₃⋊D₃	semidirect
870. #126	C₂×C₃⋊D₃	semidirect
871. #126	C₂×C₃⋊D₃	semidirect
895. #124	C₂×C₃⋊D₃	semidirect
913. #123	C₂×C₃⋊D₃	semidirect
934. C₂²⋊Q₈	C₂×C₃⋊D₃	semidirect
951. #120	C₂×C₃⋊D₃	semidirect
975. C₄×D₄	C₂×C₃⋊D₃	semidirect
993. C₂×C₂²⋊C₄	C₂×C₃⋊D₃	semidirect
1284. C₃²	#3568	semidirect
1419. C₃	#86412	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#538	2
#10596183	2
#10596173	2
#10596153	2
#10596150	2
#10596142	2
#10596140	2
#10596133	2
#10596129	2
#10596122	2
#10596120	2
#10596117	2
#10596112	2
#10596088	2
#10596084	2
#10596074	2
#10596071	2
#10596065	2
#10596064	2
#10596058	2
#10596032	2
#10596027	2
#10596013	2
#10596009	2
#10595966	2
#86412	3