Subgroups — C₃×#63026 #10681633

Order 768.

6678 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3568	C₂	1	2	yes	maximal, complemented
2	C₃×#3566	C₂	1	6	yes	maximal, complemented
3	C₃×#3564	C₂	1	6	yes	maximal, complemented
4	C₃×#3545	C₂	1	3	yes	maximal, complemented
5	C₃×#3535	C₂	1	6	yes	maximal, complemented
6	C₃×#3533	C₂	1	3	yes	maximal, complemented
7	C₃×#3532	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3521	C₂	1	6	yes	maximal, complemented
9	C₃×#3513	C₂	1	6	yes	maximal, complemented
10	C₃×#3510	C₂	1	3	yes	maximal, complemented
11	C₃×#3495	C₂	1	6	yes	maximal, complemented
12	C₃×#3491	C₂	1	3	yes	maximal, complemented
13	C₃×#3490	C₂	1	3	yes	maximal, complemented
14	C₃×#3475	C₂	1	6	yes	maximal, complemented
15	C₂×C₃×#551	C₂	1	3	yes	maximal, complemented
16	#63026	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
17	C₃×#563	C₂²	1	3	yes	complemented
18	C₃×#563	C₂²	1	6	yes	complemented
19	C₃×#563	C₂²	1	6	yes	complemented
20	C₃×#563	C₂²	1	3	yes	complemented
21	C₃×#562	C₂²	1	6	yes	complemented
22	C₃×#562	C₂²	1	6	yes	complemented
23	C₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
24	C₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
25	C₃×#560	C₂²	1	3	yes	complemented
26	C₃×#560	C₂²	1	1	yes	characteristic, complemented
27	C₃×#559	C₂²	1	3	yes	complemented
28	C₃×#559	C₂²	1	6	yes	complemented
29	C₃×#556	C₂²	1	6	yes	complemented
30	C₃×#556	C₂²	1	6	yes	complemented
31	C₃×#556	C₂²	1	6	yes	complemented
32	C₃×#556	C₂²	1	6	yes	complemented
33	C₃×#555	C₂²	1	6	yes	complemented
34	C₃×#554	C₂²	1	6	yes	complemented
35	C₃×#554	C₂²	1	6	yes	complemented
36	C₃×#554	C₂²	1	6	yes	complemented
37	C₃×#553	C₂²	1	6	yes	complemented
38	C₃×#553	C₂²	1	6	yes	complemented
39	C₃×#553	C₂²	1	6	yes	complemented
40	C₃×#553	C₂²	1	6	yes	complemented
41	C₃×#552	C₂²	1	6	yes	complemented
42	C₃×#552	C₂²	1	6	yes	complemented
43	C₃×#552	C₂²	1	6	yes	complemented
44	C₃×#552	C₂²	1	6	yes	complemented
45	C₃×#552	C₂²	1	6	yes	complemented
46	C₃×#552	C₂²	1	6	yes	complemented
47	C₃×#552	C₂²	1	6	yes	complemented
48	C₃×#552	C₂²	1	6	yes	complemented
49	C₃×#552	C₂²	1	6	yes	complemented
50	C₃×#552	C₂²	1	6	yes	complemented
51	C₃×#551	C₂²	1	3	yes	complemented
52	C₃×#551	C₂²	1	6	yes	complemented
53	C₃×#551	C₂²	1	6	yes	complemented
54	C₃×#551	C₂²	1	6	yes	complemented
55	C₃×#551	C₂²	1	6	yes	complemented
56	C₃×#551	C₂²	1	3	yes	complemented
57	C₃×#551	C₂²	1	6	yes	complemented
58	C₃×#551	C₂²	1	3	yes	complemented
59	C₃×#551	C₂²	1	3	yes	complemented
60	C₃×#551	C₂²	1	6	yes	complemented
61	C₃×#551	C₂²	1	6	yes	complemented
62	C₃×#551	C₂²	1	6	yes	complemented
63	C₃×#551	C₂²	1	6	yes	complemented
64	C₃×#551	C₂²	1	6	yes	complemented
65	C₃×#551	C₂²	1	3	yes	complemented
66	C₃×#551	C₂²	1	6	yes	complemented
67	C₃×#551	C₂²	1	6	yes	complemented
68	C₃×#551	C₂²	1	6	yes	complemented
69	C₃×#551	C₂²	1	3	yes	complemented
70	C₃×#551	C₂²	1	3	yes	complemented
71	C₃×#551	C₂²	1	3	yes	complemented
72	C₃×#551	C₂²	1	6	yes	complemented
73	C₃×#547	C₂²	1	6	yes	complemented
74	C₃×#547	C₂²	1	6	yes	complemented
75	C₃×#546	C₂²	1	6	yes	complemented
76	C₃×#546	C₂²	1	6	yes	complemented
77	C₃×#546	C₂²	1	6	yes	complemented
78	C₃×#546	C₂²	1	6	yes	complemented
79	C₃×#546	C₂²	1	6	yes	complemented
80	C₃×#546	C₂²	1	6	yes	complemented
81	C₃×D₄²	C₂²	1	3	yes	complemented
82	C₃×#544	C₂²	1	6	yes	complemented
83	C₃×#543	C₂²	1	3	yes	complemented
84	C₃×#543	C₂²	1	3	yes	complemented
85	C₃×#542	C₂²	1	6	yes	complemented
86	C₃×#542	C₂²	1	6	yes	complemented
87	C₃×#542	C₂²	1	6	yes	complemented
88	C₃×#542	C₂²	1	6	yes	complemented
89	C₃×#542	C₂²	1	6	yes	complemented
90	C₃×#542	C₂²	1	6	yes	complemented
91	C₃×#541	C₂²	1	6	yes	complemented
92	C₃×#541	C₂²	1	6	yes	complemented
93	C₃×#541	C₂²	1	6	yes	complemented
94	C₃×#540	C₂²	1	6	yes	complemented
95	C₃×#539	C₂²	1	6	yes	complemented
96	C₃×#539	C₂²	1	6	yes	complemented
97	C₃×#539	C₂²	1	6	yes	complemented
98	C₃×#539	C₂²	1	6	yes	complemented
99	C₃×#539	C₂²	1	6	yes	complemented
100	C₃×#539	C₂²	1	6	yes	complemented
101	C₃×#538	C₂²	1	6	yes	—
102	C₃×#538	C₂²	1	6	yes	complemented
103	C₃×#538	C₂²	1	6	yes	complemented
104	C₃×#538	C₂²	1	6	yes	complemented
105	C₃×#538	C₂²	1	6	yes	complemented
106	C₃×#538	C₂²	1	6	yes	complemented
107	C₃×#536	C₂²	1	6	yes	complemented
108	C₃×#536	C₂²	1	3	yes	complemented
109	C₃×#535	C₂²	1	3	yes	—
110	C₃×#534	C₂²	1	3	yes	—
111	C₃×#534	C₂²	1	3	yes	complemented
112	C₃×#533	C₂²	1	6	yes	complemented
113	C₃×#533	C₂²	1	3	yes	complemented
114	C₃×#529	C₂²	1	6	yes	complemented
115	C₃×#529	C₂²	1	6	yes	complemented
116	C₃×#529	C₂²	1	6	yes	complemented
117	C₃×#529	C₂²	1	6	yes	complemented
118	C₃×#529	C₂²	1	6	yes	complemented
119	C₃×#529	C₂²	1	6	yes	complemented
120	C₃×#529	C₂²	1	6	yes	complemented
121	C₃×#529	C₂²	1	6	yes	complemented
122	C₂×C₃×#126	C₂²	1	6	yes	complemented
123	C₂×C₃×#126	C₂²	1	2	yes	complemented
124	C₂×C₃×#124	C₂²	1	3	yes	complemented
125	C₃×#525	C₂²	1	6	yes	—
126	C₃×#525	C₂²	1	6	yes	complemented
127	C₃×#525	C₂²	1	6	yes	complemented
128	C₂×C₃×#123	C₂²	1	3	yes	complemented
129	C₂×C₃×#123	C₂²	1	6	yes	complemented
130	C₂×C₃×#123	C₂²	1	3	yes	complemented
131	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
132	C₂×C₃×#120	C₂²	1	3	yes	—
133	C₂×C₃×#120	C₂²	1	1	yes	characteristic, complemented
134	C₃×#520	C₂²	1	6	yes	complemented
135	C₃×#519	C₂²	1	3	yes	complemented
136	C₃×#518	C₂²	1	3	yes	complemented
137	C₃×#518	C₂²	1	3	yes	complemented
138	C₃×#518	C₂²	1	3	yes	complemented
139	C₃×C₄×#41	C₂²	1	3	yes	complemented
140	C₃×C₄×#41	C₂²	1	6	yes	complemented
141	C₂×C₃×C₄×D₄	C₂²	1	6	yes	complemented
142	C₂×C₃×#117	C₂²	1	6	yes	complemented
143	C₂×C₃×#117	C₂²	1	3	yes	complemented
144	C₂²×C₃×C₂²⋊C₄	C₂²	1	3	yes	complemented
145	#3568	C₂×C₃	1	2	yes	complemented
146	#3566	C₂×C₃	1	6	yes	complemented
147	#3564	C₂×C₃	1	6	yes	complemented
148	#3545	C₂×C₃	1	3	yes	complemented
149	#3535	C₂×C₃	1	6	yes	complemented
150	#3533	C₂×C₃	1	3	yes	complemented
151	#3532	C₂×C₃	1	1	yes	characteristic, complemented
152	#3521	C₂×C₃	1	6	yes	complemented
153	#3513	C₂×C₃	1	6	yes	complemented
154	#3510	C₂×C₃	1	3	yes	complemented
155	#3495	C₂×C₃	1	6	yes	complemented
156	#3491	C₂×C₃	1	3	yes	complemented
157	#3490	C₂×C₃	1	3	yes	complemented
158	#3475	C₂×C₃	1	6	yes	complemented
159	C₂×#551	C₂×C₃	1	3	yes	complemented
160	C₂⁵×C₃	C₂³	1	1	yes	characteristic
161	C₂×C₃×#41	C₂³	1	6	yes	—
162	C₂×C₃×#41	C₂³	1	3	yes	—
163	C₂×C₃×#41	C₂³	1	6	yes	—
164	C₂²×C₃×Q₈	C₂³	1	3	yes	—
165	C₂²×C₃×D₄	C₂³	1	6	yes	—
166	C₂²×C₃×D₄	C₂³	1	3	yes	—
167	C₂²×C₃×D₄	C₂³	1	3	yes	—
168	C₂²×C₃×D₄	C₂³	1	3	yes	—
169	C₂³×C₃×C₄	C₂³	1	6	yes	—
170	C₂³×C₃×C₄	C₂³	1	3	yes	—
171	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
172	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
173	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
174	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
175	C₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
176	C₃×#127	C₂³	1	1	yes	characteristic
177	C₃×#127	C₂³	1	3	yes	—
178	C₃×#126	C₂³	1	6	yes	—
179	C₃×#126	C₂³	1	6	yes	—
180	C₃×#126	C₂³	1	6	yes	—
181	C₃×#126	C₂³	1	6	yes	—
182	C₃×#126	C₂³	1	6	yes	—
183	C₃×#126	C₂³	1	6	yes	—
184	C₃×#126	C₂³	1	6	yes	—
185	C₃×#126	C₂³	1	2	yes	—
186	C₃×#126	C₂³	1	6	yes	—
187	C₃×#126	C₂³	1	6	yes	—
188	C₃×#126	C₂³	1	6	yes	—
189	C₃×#126	C₂³	1	6	yes	—
190	C₃×#126	C₂³	1	6	yes	—
191	C₃×#126	C₂³	1	6	yes	—
192	C₃×#126	C₂³	1	2	yes	complemented
193	C₃×#126	C₂³	1	6	yes	complemented
194	C₃×#126	C₂³	1	6	yes	complemented
195	C₃×#126	C₂³	1	6	yes	complemented
196	C₃×#126	C₂³	1	6	yes	complemented
197	C₃×#126	C₂³	1	6	yes	complemented
198	C₃×#126	C₂³	1	2	yes	complemented
199	C₃×#126	C₂³	1	6	yes	complemented
200	C₃×#126	C₂³	1	6	yes	complemented
201	C₃×#126	C₂³	1	6	yes	complemented
202	C₃×#126	C₂³	1	6	yes	complemented
203	C₃×#126	C₂³	1	6	yes	complemented
204	C₃×#125	C₂³	1	6	yes	complemented
205	C₃×#125	C₂³	1	6	yes	complemented
206	C₃×#125	C₂³	1	6	yes	complemented
207	C₃×#125	C₂³	1	6	yes	complemented
208	C₃×#125	C₂³	1	6	yes	complemented
209	C₃×#125	C₂³	1	6	yes	complemented
210	C₃×#125	C₂³	1	6	yes	complemented
211	C₃×#125	C₂³	1	6	yes	complemented
212	C₃×#125	C₂³	1	6	yes	complemented
213	C₃×#125	C₂³	1	6	yes	complemented
214	C₃×#125	C₂³	1	6	yes	complemented
215	C₃×#125	C₂³	1	6	yes	complemented
216	C₃×#125	C₂³	1	6	yes	complemented
217	C₃×#124	C₂³	1	6	yes	—
218	C₃×#124	C₂³	1	6	yes	—
219	C₃×#124	C₂³	1	6	yes	—
220	C₃×#124	C₂³	1	3	yes	—
221	C₃×#124	C₂³	1	6	yes	—
222	C₃×#124	C₂³	1	3	yes	—
223	C₃×#124	C₂³	1	3	yes	—
224	C₃×#124	C₂³	1	6	yes	—
225	C₃×#124	C₂³	1	3	yes	—
226	C₃×#124	C₂³	1	3	yes	—
227	C₃×#124	C₂³	1	3	yes	—
228	C₃×#124	C₂³	1	6	yes	—
229	C₃×#124	C₂³	1	6	yes	—
230	C₃×#124	C₂³	1	6	yes	complemented
231	C₃×#124	C₂³	1	6	yes	complemented
232	C₃×#124	C₂³	1	6	yes	complemented
233	C₃×#124	C₂³	1	6	yes	complemented
234	C₃×#123	C₂³	1	3	yes	—
235	C₃×#123	C₂³	1	3	yes	—
236	C₃×#123	C₂³	1	6	yes	—
237	C₃×#123	C₂³	1	6	yes	—
238	C₃×#123	C₂³	1	3	yes	—
239	C₃×#123	C₂³	1	6	yes	—
240	C₃×#123	C₂³	1	3	yes	—
241	C₃×#123	C₂³	1	3	yes	—
242	C₃×#123	C₂³	1	6	yes	—
243	C₃×#123	C₂³	1	6	yes	—
244	C₃×#123	C₂³	1	6	yes	—
245	C₃×#123	C₂³	1	3	yes	—
246	C₃×#123	C₂³	1	3	yes	—
247	C₃×#123	C₂³	1	6	yes	—
248	C₃×#123	C₂³	1	6	yes	—
249	C₃×#123	C₂³	1	6	yes	—
250	C₃×#123	C₂³	1	6	yes	—
251	C₃×#123	C₂³	1	3	yes	—
252	C₃×#123	C₂³	1	6	yes	—
253	C₃×#123	C₂³	1	6	yes	—
254	C₃×#123	C₂³	1	6	yes	—
255	C₃×#123	C₂³	1	6	yes	—
256	C₃×#123	C₂³	1	6	yes	—
257	C₃×#123	C₂³	1	6	yes	—
258	C₃×#123	C₂³	1	6	yes	—
259	C₃×#123	C₂³	1	6	yes	—
260	C₃×#123	C₂³	1	6	yes	—
261	C₃×#123	C₂³	1	6	yes	—
262	C₃×#123	C₂³	1	6	yes	—
263	C₃×#123	C₂³	1	6	yes	complemented
264	C₃×#123	C₂³	1	6	yes	complemented
265	C₃×#123	C₂³	1	6	yes	complemented
266	C₃×#123	C₂³	1	6	yes	complemented
267	C₃×#123	C₂³	1	6	yes	complemented
268	C₃×#123	C₂³	1	6	yes	complemented
269	C₃×#123	C₂³	1	6	yes	complemented
270	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
271	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
272	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
273	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
274	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
275	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
276	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
277	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
278	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
279	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
280	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
281	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
282	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
283	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
284	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
285	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
286	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
287	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
288	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
289	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
290	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
291	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
292	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
293	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
294	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
295	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
296	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
297	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
298	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
299	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
300	C₃×#121	C₂³	1	6	yes	—
301	C₃×#121	C₂³	1	6	yes	—
302	C₃×#121	C₂³	1	6	yes	—
303	C₃×#121	C₂³	1	6	yes	—
304	C₃×#121	C₂³	1	6	yes	—
305	C₃×#121	C₂³	1	6	yes	—
306	C₃×#121	C₂³	1	6	yes	—
307	C₃×#121	C₂³	1	6	yes	—
308	C₃×#121	C₂³	1	6	yes	—
309	C₃×#121	C₂³	1	6	yes	—
310	C₃×#121	C₂³	1	6	yes	—
311	C₃×#121	C₂³	1	6	yes	—
312	C₃×#121	C₂³	1	6	yes	—
313	C₃×#121	C₂³	1	6	yes	complemented
314	C₃×#121	C₂³	1	6	yes	complemented
315	C₃×#121	C₂³	1	6	yes	complemented
316	C₃×#120	C₂³	1	3	yes	—
317	C₃×#120	C₂³	1	3	yes	—
318	C₃×#120	C₂³	1	3	yes	—
319	C₃×#120	C₂³	1	1	yes	characteristic
320	C₃×#120	C₂³	1	3	yes	—
321	C₃×#120	C₂³	1	3	yes	—
322	C₃×#120	C₂³	1	3	yes	—
323	C₃×#120	C₂³	1	3	yes	—
324	C₃×#120	C₂³	1	6	yes	—
325	C₃×#120	C₂³	1	6	yes	—
326	C₃×#120	C₂³	1	6	yes	—
327	C₃×#120	C₂³	1	2	yes	—
328	C₃×#120	C₂³	1	6	yes	—
329	C₃×#120	C₂³	1	6	yes	—
330	C₃×#120	C₂³	1	2	yes	complemented
331	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
332	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
333	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
334	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
335	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
336	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
337	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
338	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
339	C₃×C₄×Q₈	C₂³	1	6	yes	complemented
340	C₃×C₄×D₄	C₂³	1	6	yes	—
341	C₃×C₄×D₄	C₂³	1	6	yes	—
342	C₃×C₄×D₄	C₂³	1	6	yes	—
343	C₃×C₄×D₄	C₂³	1	6	yes	—
344	C₃×C₄×D₄	C₂³	1	6	yes	—
345	C₃×C₄×D₄	C₂³	1	6	yes	—
346	C₃×C₄×D₄	C₂³	1	6	yes	—
347	C₃×C₄×D₄	C₂³	1	6	yes	—
348	C₃×C₄×D₄	C₂³	1	6	yes	—
349	C₃×C₄×D₄	C₂³	1	6	yes	—
350	C₃×C₄×D₄	C₂³	1	6	yes	—
351	C₃×C₄×D₄	C₂³	1	6	yes	—
352	C₃×C₄×D₄	C₂³	1	6	yes	—
353	C₃×C₄×D₄	C₂³	1	6	yes	—
354	C₃×C₄×D₄	C₂³	1	6	yes	—
355	C₃×C₄×D₄	C₂³	1	6	yes	—
356	C₃×C₄×D₄	C₂³	1	6	yes	—
357	C₃×C₄×D₄	C₂³	1	6	yes	—
358	C₃×C₄×D₄	C₂³	1	6	yes	—
359	C₃×C₄×D₄	C₂³	1	6	yes	—
360	C₃×C₄×D₄	C₂³	1	6	yes	—
361	C₃×C₄×D₄	C₂³	1	6	yes	—
362	C₃×C₄×D₄	C₂³	1	6	yes	complemented
363	C₃×C₄×D₄	C₂³	1	6	yes	complemented
364	C₃×C₄×D₄	C₂³	1	6	yes	complemented
365	C₃×C₄×D₄	C₂³	1	6	yes	complemented
366	C₃×C₄×D₄	C₂³	1	6	yes	complemented
367	C₃×C₄×D₄	C₂³	1	6	yes	complemented
368	C₃×C₄×D₄	C₂³	1	6	yes	complemented
369	C₃×#117	C₂³	1	6	yes	—
370	C₃×#117	C₂³	1	6	yes	—
371	C₃×#117	C₂³	1	6	yes	—
372	C₃×#117	C₂³	1	6	yes	—
373	C₃×#117	C₂³	1	6	yes	—
374	C₃×#117	C₂³	1	6	yes	—
375	C₃×#117	C₂³	1	6	yes	—
376	C₃×#117	C₂³	1	6	yes	—
377	C₃×#117	C₂³	1	6	yes	—
378	C₃×#117	C₂³	1	3	yes	—
379	C₃×#117	C₂³	1	6	yes	—
380	C₃×#117	C₂³	1	3	yes	—
381	C₃×#117	C₂³	1	6	yes	—
382	C₃×#117	C₂³	1	3	yes	—
383	C₃×#117	C₂³	1	6	yes	complemented
384	C₃×#117	C₂³	1	6	yes	complemented
385	C₃×#117	C₂³	1	6	yes	complemented
386	C₃×#117	C₂³	1	6	yes	complemented
387	C₃×#117	C₂³	1	6	yes	complemented
388	C₃×#117	C₂³	1	6	yes	complemented
389	C₃×#117	C₂³	1	6	yes	complemented
390	C₃×#117	C₂³	1	6	yes	complemented
391	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
392	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
393	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
394	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
395	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	complemented
396	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	complemented
397	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	complemented
398	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
399	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
400	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
401	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
402	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
403	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
404	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
405	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
406	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
407	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
408	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
409	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
410	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
411	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
412	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
413	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
414	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
415	C₂×C₃×C₄²	C₂³	1	3	yes	—
416	C₂×C₃×C₄²	C₂³	1	6	yes	—
417	C₂×C₃×C₄²	C₂³	1	6	yes	complemented
418	C₂×C₃×C₄²	C₂³	1	2	yes	complemented
419	#563	C₂²×C₃	1	3	yes	complemented
420	#563	C₂²×C₃	1	6	yes	complemented
421	#563	C₂²×C₃	1	6	yes	complemented
422	#563	C₂²×C₃	1	3	yes	complemented
423	#562	C₂²×C₃	1	6	yes	complemented
424	#562	C₂²×C₃	1	6	yes	complemented
425	H(3,𝔽₄)	C₂²×C₃	1	1	yes	characteristic, complemented
426	H(3,𝔽₄)	C₂²×C₃	1	1	yes	characteristic, complemented
427	#560	C₂²×C₃	1	3	yes	complemented
428	#560	C₂²×C₃	1	1	yes	characteristic, complemented
429	#559	C₂²×C₃	1	3	yes	complemented
430	#559	C₂²×C₃	1	6	yes	complemented
431	#556	C₂²×C₃	1	6	yes	complemented
432	#556	C₂²×C₃	1	6	yes	complemented
433	#556	C₂²×C₃	1	6	yes	complemented
434	#556	C₂²×C₃	1	6	yes	complemented
435	#555	C₂²×C₃	1	6	yes	complemented
436	#554	C₂²×C₃	1	6	yes	complemented
437	#554	C₂²×C₃	1	6	yes	complemented
438	#554	C₂²×C₃	1	6	yes	complemented
439	#553	C₂²×C₃	1	6	yes	complemented
440	#553	C₂²×C₃	1	6	yes	complemented
441	#553	C₂²×C₃	1	6	yes	complemented
442	#553	C₂²×C₃	1	6	yes	complemented
443	#552	C₂²×C₃	1	6	yes	complemented
444	#552	C₂²×C₃	1	6	yes	complemented
445	#552	C₂²×C₃	1	6	yes	complemented
446	#552	C₂²×C₃	1	6	yes	complemented
447	#552	C₂²×C₃	1	6	yes	complemented
448	#552	C₂²×C₃	1	6	yes	complemented
449	#552	C₂²×C₃	1	6	yes	complemented
450	#552	C₂²×C₃	1	6	yes	complemented
451	#552	C₂²×C₃	1	6	yes	complemented
452	#552	C₂²×C₃	1	6	yes	complemented
453	#551	C₂²×C₃	1	3	yes	complemented
454	#551	C₂²×C₃	1	6	yes	complemented
455	#551	C₂²×C₃	1	6	yes	complemented
456	#551	C₂²×C₃	1	6	yes	complemented
457	#551	C₂²×C₃	1	6	yes	complemented
458	#551	C₂²×C₃	1	3	yes	complemented
459	#551	C₂²×C₃	1	6	yes	complemented
460	#551	C₂²×C₃	1	3	yes	complemented
461	#551	C₂²×C₃	1	3	yes	complemented
462	#551	C₂²×C₃	1	6	yes	complemented
463	#551	C₂²×C₃	1	6	yes	complemented
464	#551	C₂²×C₃	1	6	yes	complemented
465	#551	C₂²×C₃	1	6	yes	complemented
466	#551	C₂²×C₃	1	6	yes	complemented
467	#551	C₂²×C₃	1	3	yes	complemented
468	#551	C₂²×C₃	1	6	yes	complemented
469	#551	C₂²×C₃	1	6	yes	complemented
470	#551	C₂²×C₃	1	6	yes	complemented
471	#551	C₂²×C₃	1	3	yes	complemented
472	#551	C₂²×C₃	1	3	yes	complemented
473	#551	C₂²×C₃	1	3	yes	complemented
474	#551	C₂²×C₃	1	6	yes	complemented
475	#547	C₂²×C₃	1	6	yes	complemented
476	#547	C₂²×C₃	1	6	yes	complemented
477	#546	C₂²×C₃	1	6	yes	complemented
478	#546	C₂²×C₃	1	6	yes	complemented
479	#546	C₂²×C₃	1	6	yes	complemented
480	#546	C₂²×C₃	1	6	yes	complemented
481	#546	C₂²×C₃	1	6	yes	complemented
482	#546	C₂²×C₃	1	6	yes	complemented
483	D₄²	C₂²×C₃	1	3	yes	complemented
484	#544	C₂²×C₃	1	6	yes	complemented
485	#543	C₂²×C₃	1	3	yes	complemented
486	#543	C₂²×C₃	1	3	yes	complemented
487	#542	C₂²×C₃	1	6	yes	complemented
488	#542	C₂²×C₃	1	6	yes	complemented
489	#542	C₂²×C₃	1	6	yes	complemented
490	#542	C₂²×C₃	1	6	yes	complemented
491	#542	C₂²×C₃	1	6	yes	complemented
492	#542	C₂²×C₃	1	6	yes	complemented
493	#541	C₂²×C₃	1	6	yes	complemented
494	#541	C₂²×C₃	1	6	yes	complemented
495	#541	C₂²×C₃	1	6	yes	complemented
496	#540	C₂²×C₃	1	6	yes	complemented
497	#539	C₂²×C₃	1	6	yes	complemented
498	#539	C₂²×C₃	1	6	yes	complemented
499	#539	C₂²×C₃	1	6	yes	complemented
500	#539	C₂²×C₃	1	6	yes	complemented
501	#539	C₂²×C₃	1	6	yes	complemented
502	#539	C₂²×C₃	1	6	yes	complemented
503	#538	C₂²×C₃	1	6	yes	—
504	#538	C₂²×C₃	1	6	yes	complemented
505	#538	C₂²×C₃	1	6	yes	complemented
506	#538	C₂²×C₃	1	6	yes	complemented
507	#538	C₂²×C₃	1	6	yes	complemented
508	#538	C₂²×C₃	1	6	yes	complemented
509	#536	C₂²×C₃	1	6	yes	complemented
510	#536	C₂²×C₃	1	3	yes	complemented
511	#535	C₂²×C₃	1	3	yes	—
512	#534	C₂²×C₃	1	3	yes	—
513	#534	C₂²×C₃	1	3	yes	complemented
514	#533	C₂²×C₃	1	6	yes	complemented
515	#533	C₂²×C₃	1	3	yes	complemented
516	#529	C₂²×C₃	1	6	yes	complemented
517	#529	C₂²×C₃	1	6	yes	complemented
518	#529	C₂²×C₃	1	6	yes	complemented
519	#529	C₂²×C₃	1	6	yes	complemented
520	#529	C₂²×C₃	1	6	yes	complemented
521	#529	C₂²×C₃	1	6	yes	complemented
522	#529	C₂²×C₃	1	6	yes	complemented
523	#529	C₂²×C₃	1	6	yes	complemented
524	C₂×#126	C₂²×C₃	1	6	yes	complemented
525	C₂×#126	C₂²×C₃	1	2	yes	complemented
526	C₂×#124	C₂²×C₃	1	3	yes	complemented
527	#525	C₂²×C₃	1	6	yes	—
528	#525	C₂²×C₃	1	6	yes	complemented
529	#525	C₂²×C₃	1	6	yes	complemented
530	C₂×#123	C₂²×C₃	1	3	yes	complemented
531	C₂×#123	C₂²×C₃	1	6	yes	complemented
532	C₂×#123	C₂²×C₃	1	3	yes	complemented
533	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
534	C₂×#120	C₂²×C₃	1	3	yes	—
535	C₂×#120	C₂²×C₃	1	1	yes	characteristic, complemented
536	#520	C₂²×C₃	1	6	yes	complemented
537	#519	C₂²×C₃	1	3	yes	complemented
538	#518	C₂²×C₃	1	3	yes	complemented
539	#518	C₂²×C₃	1	3	yes	complemented
540	#518	C₂²×C₃	1	3	yes	complemented
541	C₄×#41	C₂²×C₃	1	3	yes	complemented
542	C₄×#41	C₂²×C₃	1	6	yes	complemented
543	C₂×C₄×D₄	C₂²×C₃	1	6	yes	complemented
544	C₂×#117	C₂²×C₃	1	6	yes	complemented
545	C₂×#117	C₂²×C₃	1	3	yes	complemented
546	C₂²×C₂²⋊C₄	C₂²×C₃	1	3	yes	complemented
547	C₂⁴×C₃	—	4	6	no	—
548	C₂⁴×C₃	C₂⁴	1	3	yes	—
549	C₂⁴×C₃	C₂⁴	1	3	yes	—
550	C₂⁴×C₃	C₂⁴	1	3	yes	—
551	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₃×#41	—	4	12	no	—
555	C₃×#41	—	4	12	no	—
556	C₃×#41	—	4	6	no	—
557	C₂×C₃×Q₈	—	4	6	no	—
558	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
559	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
560	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
561	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
562	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
563	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
564	C₂×C₃×D₄	—	4	6	no	—
565	C₂×C₃×D₄	—	4	6	no	—
566	C₂×C₃×D₄	—	4	12	no	—
567	C₂×C₃×D₄	—	4	6	no	—
568	C₂×C₃×D₄	C₂⁴	1	6	yes	—
569	C₂×C₃×D₄	C₂⁴	1	6	yes	—
570	C₂×C₃×D₄	C₂⁴	1	6	yes	—
571	C₂×C₃×D₄	C₂⁴	1	3	yes	—
572	C₂×C₃×D₄	C₂⁴	1	6	yes	—
573	C₂×C₃×D₄	C₂⁴	1	3	yes	—
574	C₂×C₃×D₄	C₂⁴	1	3	yes	—
575	C₂×C₃×D₄	C₂⁴	1	6	yes	—
576	C₂×C₃×D₄	C₂⁴	1	3	yes	—
577	C₂×C₃×D₄	C₂⁴	1	6	yes	—
578	C₂×C₃×D₄	C₂⁴	1	6	yes	—
579	C₂×C₃×D₄	C₂⁴	1	6	yes	—
580	C₂×C₃×D₄	C₂⁴	1	3	yes	—
581	C₂×C₃×D₄	C₂⁴	1	6	yes	—
582	C₂²×C₃×C₄	—	4	6	no	—
583	C₂²×C₃×C₄	—	4	12	no	—
584	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
585	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
586	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
587	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
588	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
589	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
590	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
591	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
592	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
593	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
594	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
595	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
596	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
597	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
598	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
599	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
600	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
601	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
602	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
603	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
604	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
605	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
606	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
607	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
608	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
609	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
610	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
611	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
612	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
613	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
614	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
615	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
616	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
617	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
618	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
619	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
620	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
621	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
622	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
623	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
624	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
625	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
626	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
627	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
628	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
629	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
630	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
631	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
632	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
633	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
634	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
635	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
636	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
637	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
638	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
639	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
640	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
641	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
642	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
643	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
644	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
645	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
646	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
647	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
648	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
649	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
650	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
651	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
652	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
653	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
654	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
655	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
656	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
657	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
658	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
659	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
660	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
661	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
662	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
663	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
664	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
665	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
666	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
667	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
668	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
669	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
670	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
671	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
672	C₃×C₄²	C₂⁴	1	3	yes	—
673	C₃×C₄²	C₂⁴	1	6	yes	—
674	C₃×C₄²	C₂⁴	1	3	yes	—
675	C₃×C₄²	C₂⁴	1	6	yes	—
676	C₃×C₄²	C₂⁴	1	6	yes	—
677	C₃×C₄²	C₂⁴	1	6	yes	—
678	C₃×C₄²	C₂⁴	1	6	yes	—
679	C₃×C₄²	C₂⁴	1	6	yes	—
680	C₃×C₄²	C₂⁴	1	6	yes	—
681	C₃×C₄²	C₂⁴	1	2	yes	—
682	C₃×C₄²	C₂⁴	1	1	yes	characteristic
683	C₃×C₄²	C₂⁴	1	6	yes	—
684	C₃×C₄²	C₂⁴	1	6	yes	—
685	C₃×C₄²	C₂⁴	1	3	yes	—
686	C₂⁵	C₂³×C₃	1	1	yes	characteristic
687	C₂×#41	C₂³×C₃	1	6	yes	—
688	C₂×#41	C₂³×C₃	1	3	yes	—
689	C₂×#41	C₂³×C₃	1	6	yes	—
690	C₂²×Q₈	C₂³×C₃	1	3	yes	—
691	C₂²×D₄	C₂³×C₃	1	6	yes	—
692	C₂²×D₄	C₂³×C₃	1	3	yes	—
693	C₂²×D₄	C₂³×C₃	1	3	yes	—
694	C₂²×D₄	C₂³×C₃	1	3	yes	—
695	C₂³×C₄	C₂³×C₃	1	6	yes	—
696	C₂³×C₄	C₂³×C₃	1	3	yes	—
697	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
698	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
699	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
700	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
701	C₄⋊Q₈	C₂³×C₃	1	6	yes	complemented
702	#127	C₂³×C₃	1	1	yes	characteristic
703	#127	C₂³×C₃	1	3	yes	—
704	#126	C₂³×C₃	1	6	yes	—
705	#126	C₂³×C₃	1	6	yes	—
706	#126	C₂³×C₃	1	2	yes	—
707	#126	C₂³×C₃	1	6	yes	—
708	#126	C₂³×C₃	1	6	yes	—
709	#126	C₂³×C₃	1	6	yes	—
710	#126	C₂³×C₃	1	6	yes	—
711	#126	C₂³×C₃	1	6	yes	—
712	#126	C₂³×C₃	1	6	yes	—
713	#126	C₂³×C₃	1	6	yes	—
714	#126	C₂³×C₃	1	6	yes	—
715	#126	C₂³×C₃	1	6	yes	—
716	#126	C₂³×C₃	1	6	yes	—
717	#126	C₂³×C₃	1	6	yes	—
718	#126	C₂³×C₃	1	6	yes	complemented
719	#126	C₂³×C₃	1	2	yes	complemented
720	#126	C₂³×C₃	1	6	yes	complemented
721	#126	C₂³×C₃	1	6	yes	complemented
722	#126	C₂³×C₃	1	6	yes	complemented
723	#126	C₂³×C₃	1	6	yes	complemented
724	#126	C₂³×C₃	1	6	yes	complemented
725	#126	C₂³×C₃	1	6	yes	complemented
726	#126	C₂³×C₃	1	6	yes	complemented
727	#126	C₂³×C₃	1	6	yes	complemented
728	#126	C₂³×C₃	1	6	yes	complemented
729	#126	C₂³×C₃	1	2	yes	complemented
730	#125	C₂³×C₃	1	6	yes	complemented
731	#125	C₂³×C₃	1	6	yes	complemented
732	#125	C₂³×C₃	1	6	yes	complemented
733	#125	C₂³×C₃	1	6	yes	complemented
734	#125	C₂³×C₃	1	6	yes	complemented
735	#125	C₂³×C₃	1	6	yes	complemented
736	#125	C₂³×C₃	1	6	yes	complemented
737	#125	C₂³×C₃	1	6	yes	complemented
738	#125	C₂³×C₃	1	6	yes	complemented
739	#125	C₂³×C₃	1	6	yes	complemented
740	#125	C₂³×C₃	1	6	yes	complemented
741	#125	C₂³×C₃	1	6	yes	complemented
742	#125	C₂³×C₃	1	6	yes	complemented
743	#124	C₂³×C₃	1	3	yes	—
744	#124	C₂³×C₃	1	3	yes	—
745	#124	C₂³×C₃	1	6	yes	—
746	#124	C₂³×C₃	1	6	yes	—
747	#124	C₂³×C₃	1	3	yes	—
748	#124	C₂³×C₃	1	3	yes	—
749	#124	C₂³×C₃	1	6	yes	—
750	#124	C₂³×C₃	1	6	yes	—
751	#124	C₂³×C₃	1	6	yes	—
752	#124	C₂³×C₃	1	3	yes	—
753	#124	C₂³×C₃	1	3	yes	—
754	#124	C₂³×C₃	1	6	yes	—
755	#124	C₂³×C₃	1	6	yes	—
756	#124	C₂³×C₃	1	6	yes	complemented
757	#124	C₂³×C₃	1	6	yes	complemented
758	#124	C₂³×C₃	1	6	yes	complemented
759	#124	C₂³×C₃	1	6	yes	complemented
760	#123	C₂³×C₃	1	6	yes	—
761	#123	C₂³×C₃	1	6	yes	—
762	#123	C₂³×C₃	1	6	yes	—
763	#123	C₂³×C₃	1	3	yes	—
764	#123	C₂³×C₃	1	3	yes	—
765	#123	C₂³×C₃	1	6	yes	—
766	#123	C₂³×C₃	1	6	yes	—
767	#123	C₂³×C₃	1	6	yes	—
768	#123	C₂³×C₃	1	6	yes	—
769	#123	C₂³×C₃	1	3	yes	—
770	#123	C₂³×C₃	1	3	yes	—
771	#123	C₂³×C₃	1	6	yes	—
772	#123	C₂³×C₃	1	6	yes	—
773	#123	C₂³×C₃	1	6	yes	—
774	#123	C₂³×C₃	1	6	yes	—
775	#123	C₂³×C₃	1	6	yes	—
776	#123	C₂³×C₃	1	6	yes	—
777	#123	C₂³×C₃	1	6	yes	—
778	#123	C₂³×C₃	1	6	yes	—
779	#123	C₂³×C₃	1	6	yes	—
780	#123	C₂³×C₃	1	6	yes	—
781	#123	C₂³×C₃	1	6	yes	—
782	#123	C₂³×C₃	1	6	yes	—
783	#123	C₂³×C₃	1	3	yes	—
784	#123	C₂³×C₃	1	3	yes	—
785	#123	C₂³×C₃	1	3	yes	—
786	#123	C₂³×C₃	1	3	yes	—
787	#123	C₂³×C₃	1	6	yes	—
788	#123	C₂³×C₃	1	6	yes	—
789	#123	C₂³×C₃	1	6	yes	complemented
790	#123	C₂³×C₃	1	6	yes	complemented
791	#123	C₂³×C₃	1	6	yes	complemented
792	#123	C₂³×C₃	1	6	yes	complemented
793	#123	C₂³×C₃	1	6	yes	complemented
794	#123	C₂³×C₃	1	6	yes	complemented
795	#123	C₂³×C₃	1	6	yes	complemented
796	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
797	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
798	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
799	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
800	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
801	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
802	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
803	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
804	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
805	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
806	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
807	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
808	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
809	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
810	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
811	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
812	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
813	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
814	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
815	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
816	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
817	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
818	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
819	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
820	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
821	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
822	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
823	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
824	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
825	C₂²⋊Q₈	C₂³×C₃	1	6	yes	complemented
826	#121	C₂³×C₃	1	6	yes	—
827	#121	C₂³×C₃	1	6	yes	—
828	#121	C₂³×C₃	1	6	yes	—
829	#121	C₂³×C₃	1	6	yes	—
830	#121	C₂³×C₃	1	6	yes	—
831	#121	C₂³×C₃	1	6	yes	—
832	#121	C₂³×C₃	1	6	yes	—
833	#121	C₂³×C₃	1	6	yes	—
834	#121	C₂³×C₃	1	6	yes	—
835	#121	C₂³×C₃	1	6	yes	—
836	#121	C₂³×C₃	1	6	yes	—
837	#121	C₂³×C₃	1	6	yes	—
838	#121	C₂³×C₃	1	6	yes	—
839	#121	C₂³×C₃	1	6	yes	complemented
840	#121	C₂³×C₃	1	6	yes	complemented
841	#121	C₂³×C₃	1	6	yes	complemented
842	#120	C₂³×C₃	1	3	yes	—
843	#120	C₂³×C₃	1	3	yes	—
844	#120	C₂³×C₃	1	6	yes	—
845	#120	C₂³×C₃	1	6	yes	—
846	#120	C₂³×C₃	1	3	yes	—
847	#120	C₂³×C₃	1	3	yes	—
848	#120	C₂³×C₃	1	6	yes	—
849	#120	C₂³×C₃	1	2	yes	—
850	#120	C₂³×C₃	1	6	yes	—
851	#120	C₂³×C₃	1	6	yes	—
852	#120	C₂³×C₃	1	1	yes	characteristic
853	#120	C₂³×C₃	1	3	yes	—
854	#120	C₂³×C₃	1	3	yes	—
855	#120	C₂³×C₃	1	3	yes	—
856	#120	C₂³×C₃	1	2	yes	complemented
857	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
858	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
859	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
860	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
861	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
862	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
863	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
864	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
865	C₄×Q₈	C₂³×C₃	1	6	yes	complemented
866	C₄×D₄	C₂³×C₃	1	6	yes	—
867	C₄×D₄	C₂³×C₃	1	6	yes	—
868	C₄×D₄	C₂³×C₃	1	6	yes	—
869	C₄×D₄	C₂³×C₃	1	6	yes	—
870	C₄×D₄	C₂³×C₃	1	6	yes	—
871	C₄×D₄	C₂³×C₃	1	6	yes	—
872	C₄×D₄	C₂³×C₃	1	6	yes	—
873	C₄×D₄	C₂³×C₃	1	6	yes	—
874	C₄×D₄	C₂³×C₃	1	6	yes	—
875	C₄×D₄	C₂³×C₃	1	6	yes	—
876	C₄×D₄	C₂³×C₃	1	6	yes	—
877	C₄×D₄	C₂³×C₃	1	6	yes	—
878	C₄×D₄	C₂³×C₃	1	6	yes	—
879	C₄×D₄	C₂³×C₃	1	6	yes	—
880	C₄×D₄	C₂³×C₃	1	6	yes	—
881	C₄×D₄	C₂³×C₃	1	6	yes	—
882	C₄×D₄	C₂³×C₃	1	6	yes	—
883	C₄×D₄	C₂³×C₃	1	6	yes	—
884	C₄×D₄	C₂³×C₃	1	6	yes	—
885	C₄×D₄	C₂³×C₃	1	6	yes	—
886	C₄×D₄	C₂³×C₃	1	6	yes	—
887	C₄×D₄	C₂³×C₃	1	6	yes	—
888	C₄×D₄	C₂³×C₃	1	6	yes	complemented
889	C₄×D₄	C₂³×C₃	1	6	yes	complemented
890	C₄×D₄	C₂³×C₃	1	6	yes	complemented
891	C₄×D₄	C₂³×C₃	1	6	yes	complemented
892	C₄×D₄	C₂³×C₃	1	6	yes	complemented
893	C₄×D₄	C₂³×C₃	1	6	yes	complemented
894	C₄×D₄	C₂³×C₃	1	6	yes	complemented
895	#117	C₂³×C₃	1	6	yes	—
896	#117	C₂³×C₃	1	6	yes	—
897	#117	C₂³×C₃	1	6	yes	—
898	#117	C₂³×C₃	1	6	yes	—
899	#117	C₂³×C₃	1	6	yes	—
900	#117	C₂³×C₃	1	6	yes	—
901	#117	C₂³×C₃	1	6	yes	—
902	#117	C₂³×C₃	1	6	yes	—
903	#117	C₂³×C₃	1	6	yes	—
904	#117	C₂³×C₃	1	3	yes	—
905	#117	C₂³×C₃	1	6	yes	—
906	#117	C₂³×C₃	1	3	yes	—
907	#117	C₂³×C₃	1	6	yes	—
908	#117	C₂³×C₃	1	3	yes	—
909	#117	C₂³×C₃	1	6	yes	complemented
910	#117	C₂³×C₃	1	6	yes	complemented
911	#117	C₂³×C₃	1	6	yes	complemented
912	#117	C₂³×C₃	1	6	yes	complemented
913	#117	C₂³×C₃	1	6	yes	complemented
914	#117	C₂³×C₃	1	6	yes	complemented
915	#117	C₂³×C₃	1	6	yes	complemented
916	#117	C₂³×C₃	1	6	yes	complemented
917	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
918	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
919	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
920	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
921	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	complemented
922	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	complemented
923	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	complemented
924	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
925	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
926	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
927	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
928	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
929	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
930	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
931	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
932	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
933	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
934	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
935	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
936	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
937	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
938	C₂×C₂²⋊C₄	C₂³×C₃	1	3	yes	—
939	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
940	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	complemented
941	C₂×C₄²	C₂³×C₃	1	3	yes	—
942	C₂×C₄²	C₂³×C₃	1	6	yes	—
943	C₂×C₄²	C₂³×C₃	1	6	yes	complemented
944	C₂×C₄²	C₂³×C₃	1	2	yes	complemented
945	C₂³×C₃	—	2	12	no	—
946	C₂³×C₃	—	2	6	no	—
947	C₂³×C₃	—	2	6	no	—
948	C₂³×C₃	—	4	3	no	—
949	C₂³×C₃	—	4	6	no	—
950	C₂³×C₃	—	4	6	no	—
951	C₂³×C₃	—	4	3	no	—
952	C₂³×C₃	—	4	3	no	—
953	C₂³×C₃	—	4	3	no	—
954	C₂³×C₃	—	8	8	no	—
955	C₂³×C₃	C₂⁵	1	1	yes	characteristic
956	C₂³×C₃	C₂⁵	1	3	yes	—
957	C₂³×C₃	C₂⁵	1	3	yes	—
958	C₂³×C₃	C₂⁵	1	2	yes	—
959	C₂³×C₃	C₂⁵	1	3	yes	—
960	C₂³×C₃	C₂⁵	1	3	yes	—
961	C₃×Q₈	—	4	3	no	—
962	C₃×Q₈	—	4	6	no	—
963	C₃×Q₈	—	4	3	no	—
964	C₃×Q₈	—	4	6	no	—
965	C₃×Q₈	—	4	6	no	—
966	C₃×Q₈	—	4	3	no	—
967	C₃×D₄	—	2	12	no	—
968	C₃×D₄	—	2	12	no	—
969	C₃×D₄	—	2	12	no	—
970	C₃×D₄	—	4	3	no	—
971	C₃×D₄	—	4	3	no	—
972	C₃×D₄	—	4	3	no	—
973	C₃×D₄	—	4	3	no	—
974	C₃×D₄	—	4	6	no	—
975	C₃×D₄	—	4	6	no	—
976	C₃×D₄	—	4	6	no	—
977	C₃×D₄	—	4	6	no	—
978	C₃×D₄	—	4	6	no	—
979	C₃×D₄	—	4	6	no	—
980	C₃×D₄	—	4	3	no	—
981	C₂×C₃×C₄	—	2	12	no	—
982	C₂×C₃×C₄	—	2	12	no	—
983	C₂×C₃×C₄	—	2	6	no	—
984	C₂×C₃×C₄	—	4	3	no	—
985	C₂×C₃×C₄	—	4	6	no	—
986	C₂×C₃×C₄	—	4	6	no	—
987	C₂×C₃×C₄	—	4	6	no	—
988	C₂×C₃×C₄	—	4	3	no	—
989	C₂×C₃×C₄	—	4	6	no	—
990	C₂×C₃×C₄	—	4	6	no	—
991	C₂×C₃×C₄	—	4	3	no	—
992	C₂×C₃×C₄	—	4	6	no	—
993	C₂×C₃×C₄	—	4	3	no	—
994	C₂×C₃×C₄	—	4	6	no	—
995	C₂×C₃×C₄	—	4	6	no	—
996	C₂×C₃×C₄	—	4	6	no	—
997	C₂×C₃×C₄	—	4	6	no	—
998	C₂×C₃×C₄	—	4	6	no	—
999	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1000	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1001	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1002	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1003	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1004	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1005	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1006	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1007	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1008	C₂⁴	—	4	6	no	—
1009	C₂⁴	C₂⁴×C₃	1	3	yes	—
1010	C₂⁴	C₂⁴×C₃	1	3	yes	—
1011	C₂⁴	C₂⁴×C₃	1	3	yes	—
1012	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1013	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1014	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1015	#41	—	4	12	no	—
1016	#41	—	4	12	no	—
1017	#41	—	4	6	no	—
1018	C₂×Q₈	—	4	6	no	—
1019	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1020	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1021	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1022	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1023	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1024	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1025	C₂×D₄	—	4	6	no	—
1026	C₂×D₄	—	4	6	no	—
1027	C₂×D₄	—	4	12	no	—
1028	C₂×D₄	—	4	6	no	—
1029	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1030	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1031	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1032	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1033	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1034	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1035	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1036	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1037	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1038	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1039	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1040	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1041	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1042	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1043	C₂²×C₄	—	4	6	no	—
1044	C₂²×C₄	—	4	12	no	—
1045	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1046	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1047	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1048	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1049	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1050	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1051	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1052	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1053	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1054	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1055	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1056	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1057	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1058	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1059	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1060	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1061	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1062	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1063	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1064	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1065	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1066	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1067	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1068	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1069	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1070	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1071	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1072	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1073	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1074	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1075	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1076	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1077	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1078	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1079	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1080	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1081	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1082	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1083	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1084	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1085	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1086	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1087	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1088	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1089	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1090	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1091	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1092	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1093	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1094	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1095	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1096	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1097	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1098	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1099	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1100	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1101	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1102	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1103	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1104	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1105	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1106	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1107	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1108	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1109	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1110	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1111	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1112	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1113	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1114	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1115	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1116	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1117	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1118	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1119	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1120	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1121	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1122	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1123	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1124	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1125	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1126	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1127	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1128	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1129	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1130	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1131	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1132	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1133	C₄²	C₂⁴×C₃	1	3	yes	—
1134	C₄²	C₂⁴×C₃	1	6	yes	—
1135	C₄²	C₂⁴×C₃	1	3	yes	—
1136	C₄²	C₂⁴×C₃	1	6	yes	—
1137	C₄²	C₂⁴×C₃	1	6	yes	—
1138	C₄²	C₂⁴×C₃	1	6	yes	—
1139	C₄²	C₂⁴×C₃	1	6	yes	—
1140	C₄²	C₂⁴×C₃	1	6	yes	—
1141	C₄²	C₂⁴×C₃	1	6	yes	—
1142	C₄²	C₂⁴×C₃	1	2	yes	—
1143	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1144	C₄²	C₂⁴×C₃	1	6	yes	—
1145	C₄²	C₂⁴×C₃	1	6	yes	—
1146	C₄²	C₂⁴×C₃	1	3	yes	—
1147	C₂²×C₃	—	2	6	no	—
1148	C₂²×C₃	—	2	3	no	—
1149	C₂²×C₃	—	2	6	no	—
1150	C₂²×C₃	—	2	6	no	—
1151	C₂²×C₃	—	2	3	no	—
1152	C₂²×C₃	—	2	6	no	—
1153	C₂²×C₃	—	2	6	no	—
1154	C₂²×C₃	—	2	3	no	—
1155	C₂²×C₃	—	2	3	no	—
1156	C₂²×C₃	—	4	12	no	—
1157	C₂²×C₃	—	8	6	no	—
1158	C₂²×C₃	—	8	6	no	—
1159	C₂²×C₃	—	8	2	no	—
1160	C₂²×C₃	—	16	1	no	—
1161	C₂²×C₃	—	16	1	no	—
1162	C₂²×C₃	#585	1	6	yes	—
1163	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1164	C₃×C₄	—	2	6	no	—
1165	C₃×C₄	—	2	6	no	—
1166	C₃×C₄	—	2	6	no	—
1167	C₃×C₄	—	2	3	no	—
1168	C₃×C₄	—	2	6	no	—
1169	C₃×C₄	—	2	3	no	—
1170	C₃×C₄	—	2	6	no	—
1171	C₃×C₄	—	2	6	no	—
1172	C₃×C₄	—	2	6	no	—
1173	C₂³	—	2	12	no	—
1174	C₂³	—	2	6	no	—
1175	C₂³	—	2	6	no	—
1176	C₂³	—	4	3	no	—
1177	C₂³	—	4	6	no	—
1178	C₂³	—	4	6	no	—
1179	C₂³	—	4	3	no	—
1180	C₂³	—	4	3	no	—
1181	C₂³	—	4	3	no	—
1182	C₂³	—	8	8	no	—
1183	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1184	C₂³	C₂⁵×C₃	1	3	yes	—
1185	C₂³	C₂⁵×C₃	1	3	yes	—
1186	C₂³	C₂⁵×C₃	1	2	yes	—
1187	C₂³	C₂⁵×C₃	1	3	yes	—
1188	C₂³	C₂⁵×C₃	1	3	yes	—
1189	Q₈	—	4	3	no	—
1190	Q₈	—	4	6	no	—
1191	Q₈	—	4	3	no	—
1192	Q₈	—	4	6	no	—
1193	Q₈	—	4	6	no	—
1194	Q₈	—	4	3	no	—
1195	D₄	—	2	12	no	—
1196	D₄	—	2	12	no	—
1197	D₄	—	2	12	no	—
1198	D₄	—	4	3	no	—
1199	D₄	—	4	3	no	—
1200	D₄	—	4	3	no	—
1201	D₄	—	4	3	no	—
1202	D₄	—	4	6	no	—
1203	D₄	—	4	6	no	—
1204	D₄	—	4	6	no	—
1205	D₄	—	4	6	no	—
1206	D₄	—	4	6	no	—
1207	D₄	—	4	6	no	—
1208	D₄	—	4	3	no	—
1209	C₂×C₄	—	2	12	no	—
1210	C₂×C₄	—	2	12	no	—
1211	C₂×C₄	—	2	6	no	—
1212	C₂×C₄	—	4	3	no	—
1213	C₂×C₄	—	4	6	no	—
1214	C₂×C₄	—	4	6	no	—
1215	C₂×C₄	—	4	6	no	—
1216	C₂×C₄	—	4	3	no	—
1217	C₂×C₄	—	4	6	no	—
1218	C₂×C₄	—	4	6	no	—
1219	C₂×C₄	—	4	3	no	—
1220	C₂×C₄	—	4	6	no	—
1221	C₂×C₄	—	4	3	no	—
1222	C₂×C₄	—	4	6	no	—
1223	C₂×C₄	—	4	6	no	—
1224	C₂×C₄	—	4	6	no	—
1225	C₂×C₄	—	4	6	no	—
1226	C₂×C₄	—	4	6	no	—
1227	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1228	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1229	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1230	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1231	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1232	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1233	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1234	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1235	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1236	C₂×C₃	—	2	6	no	—
1237	C₂×C₃	—	4	3	no	—
1238	C₂×C₃	—	4	3	no	—
1239	C₂×C₃	—	4	1	no	—
1240	C₂×C₃	—	4	3	no	—
1241	C₂×C₃	—	4	2	no	—
1242	C₂×C₃	C₂×#585	1	3	yes	—
1243	C₂²	—	2	6	no	—
1244	C₂²	—	2	3	no	—
1245	C₂²	—	2	6	no	—
1246	C₂²	—	2	6	no	—
1247	C₂²	—	2	3	no	—
1248	C₂²	—	2	6	no	—
1249	C₂²	—	2	6	no	—
1250	C₂²	—	2	3	no	—
1251	C₂²	—	2	3	no	—
1252	C₂²	—	4	12	no	—
1253	C₂²	—	8	6	no	—
1254	C₂²	—	8	6	no	—
1255	C₂²	—	8	2	no	—
1256	C₂²	—	16	1	no	—
1257	C₂²	—	16	1	no	—
1258	C₂²	C₃×#585	1	6	yes	—
1259	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1260	C₄	—	2	6	no	—
1261	C₄	—	2	6	no	—
1262	C₄	—	2	6	no	—
1263	C₄	—	2	3	no	—
1264	C₄	—	2	6	no	—
1265	C₄	—	2	3	no	—
1266	C₄	—	2	6	no	—
1267	C₄	—	2	6	no	—
1268	C₄	—	2	6	no	—
1269	C₃	#63026	1	1	yes	characteristic, direct product factor, Sylow
1270	C₂	—	2	6	no	—
1271	C₂	—	4	3	no	—
1272	C₂	—	4	1	no	—
1273	C₂	—	4	3	no	—
1274	C₂	—	4	3	no	—
1275	C₂	—	4	2	no	—
1276	C₂	C₂×C₃×#585	1	3	yes	—

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3568	C₂	semidirect
2. C₃×#3566	C₂	semidirect
3. C₃×#3564	C₂	semidirect
4. C₃×#3545	C₂	semidirect
5. C₃×#3535	C₂	semidirect
6. C₃×#3533	C₂	semidirect
7. C₃×#3532	C₂	semidirect
8. C₃×#3521	C₂	semidirect
9. C₃×#3513	C₂	semidirect
10. C₃×#3510	C₂	semidirect
11. C₃×#3495	C₂	semidirect
12. C₃×#3491	C₂	semidirect
13. C₃×#3490	C₂	semidirect
14. C₃×#3475	C₂	semidirect
15. C₂×C₃×#551	C₂	semidirect
16. #63026	C₃	direct (N × H)
17. C₃×#563	C₂²	semidirect
18. C₃×#563	C₂²	semidirect
19. C₃×#563	C₂²	semidirect
20. C₃×#563	C₂²	semidirect
21. C₃×#562	C₂²	semidirect
22. C₃×#562	C₂²	semidirect
23. C₃×H(3,𝔽₄)	C₂²	semidirect
24. C₃×H(3,𝔽₄)	C₂²	semidirect
25. C₃×#560	C₂²	semidirect
26. C₃×#560	C₂²	semidirect
27. C₃×#559	C₂²	semidirect
28. C₃×#559	C₂²	semidirect
29. C₃×#556	C₂²	semidirect
30. C₃×#556	C₂²	semidirect
31. C₃×#556	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#555	C₂²	semidirect
34. C₃×#554	C₂²	semidirect
35. C₃×#554	C₂²	semidirect
36. C₃×#554	C₂²	semidirect
37. C₃×#553	C₂²	semidirect
38. C₃×#553	C₂²	semidirect
39. C₃×#553	C₂²	semidirect
40. C₃×#553	C₂²	semidirect
41. C₃×#552	C₂²	semidirect
42. C₃×#552	C₂²	semidirect
43. C₃×#552	C₂²	semidirect
44. C₃×#552	C₂²	semidirect
45. C₃×#552	C₂²	semidirect
46. C₃×#552	C₂²	semidirect
47. C₃×#552	C₂²	semidirect
48. C₃×#552	C₂²	semidirect
49. C₃×#552	C₂²	semidirect
50. C₃×#552	C₂²	semidirect
51. C₃×#551	C₂²	semidirect
52. C₃×#551	C₂²	semidirect
53. C₃×#551	C₂²	semidirect
54. C₃×#551	C₂²	semidirect
55. C₃×#551	C₂²	semidirect
56. C₃×#551	C₂²	semidirect
57. C₃×#551	C₂²	semidirect
58. C₃×#551	C₂²	semidirect
59. C₃×#551	C₂²	semidirect
60. C₃×#551	C₂²	semidirect
61. C₃×#551	C₂²	semidirect
62. C₃×#551	C₂²	semidirect
63. C₃×#551	C₂²	semidirect
64. C₃×#551	C₂²	semidirect
65. C₃×#551	C₂²	semidirect
66. C₃×#551	C₂²	semidirect
67. C₃×#551	C₂²	semidirect
68. C₃×#551	C₂²	semidirect
69. C₃×#551	C₂²	semidirect
70. C₃×#551	C₂²	semidirect
71. C₃×#551	C₂²	semidirect
72. C₃×#551	C₂²	semidirect
73. C₃×#547	C₂²	semidirect
74. C₃×#547	C₂²	semidirect
75. C₃×#546	C₂²	semidirect
76. C₃×#546	C₂²	semidirect
77. C₃×#546	C₂²	semidirect
78. C₃×#546	C₂²	semidirect
79. C₃×#546	C₂²	semidirect
80. C₃×#546	C₂²	semidirect
81. C₃×D₄²	C₂²	semidirect
82. C₃×#544	C₂²	semidirect
83. C₃×#543	C₂²	semidirect
84. C₃×#543	C₂²	semidirect
85. C₃×#542	C₂²	semidirect
86. C₃×#542	C₂²	semidirect
87. C₃×#542	C₂²	semidirect
88. C₃×#542	C₂²	semidirect
89. C₃×#542	C₂²	semidirect
90. C₃×#542	C₂²	semidirect
91. C₃×#541	C₂²	semidirect
92. C₃×#541	C₂²	semidirect
93. C₃×#541	C₂²	semidirect
94. C₃×#540	C₂²	semidirect
95. C₃×#539	C₂²	semidirect
96. C₃×#539	C₂²	semidirect
97. C₃×#539	C₂²	semidirect
98. C₃×#539	C₂²	semidirect
99. C₃×#539	C₂²	semidirect
100. C₃×#539	C₂²	semidirect
102. C₃×#538	C₂²	semidirect
103. C₃×#538	C₂²	semidirect
104. C₃×#538	C₂²	semidirect
105. C₃×#538	C₂²	semidirect
106. C₃×#538	C₂²	semidirect
107. C₃×#536	C₂²	semidirect
108. C₃×#536	C₂²	semidirect
111. C₃×#534	C₂²	semidirect
112. C₃×#533	C₂²	semidirect
113. C₃×#533	C₂²	semidirect
114. C₃×#529	C₂²	semidirect
115. C₃×#529	C₂²	semidirect
116. C₃×#529	C₂²	semidirect
117. C₃×#529	C₂²	semidirect
118. C₃×#529	C₂²	semidirect
119. C₃×#529	C₂²	semidirect
120. C₃×#529	C₂²	semidirect
121. C₃×#529	C₂²	semidirect
122. C₂×C₃×#126	C₂²	semidirect
123. C₂×C₃×#126	C₂²	semidirect
124. C₂×C₃×#124	C₂²	semidirect
126. C₃×#525	C₂²	semidirect
127. C₃×#525	C₂²	semidirect
128. C₂×C₃×#123	C₂²	semidirect
129. C₂×C₃×#123	C₂²	semidirect
130. C₂×C₃×#123	C₂²	semidirect
131. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
133. C₂×C₃×#120	C₂²	semidirect
134. C₃×#520	C₂²	semidirect
135. C₃×#519	C₂²	semidirect
136. C₃×#518	C₂²	semidirect
137. C₃×#518	C₂²	semidirect
138. C₃×#518	C₂²	semidirect
139. C₃×C₄×#41	C₂²	semidirect
140. C₃×C₄×#41	C₂²	semidirect
141. C₂×C₃×C₄×D₄	C₂²	semidirect
142. C₂×C₃×#117	C₂²	semidirect
143. C₂×C₃×#117	C₂²	semidirect
144. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
145. #3568	C₂×C₃	semidirect
146. #3566	C₂×C₃	semidirect
147. #3564	C₂×C₃	semidirect
148. #3545	C₂×C₃	semidirect
149. #3535	C₂×C₃	semidirect
150. #3533	C₂×C₃	semidirect
151. #3532	C₂×C₃	semidirect
152. #3521	C₂×C₃	semidirect
153. #3513	C₂×C₃	semidirect
154. #3510	C₂×C₃	semidirect
155. #3495	C₂×C₃	semidirect
156. #3491	C₂×C₃	semidirect
157. #3490	C₂×C₃	semidirect
158. #3475	C₂×C₃	semidirect
159. C₂×#551	C₂×C₃	semidirect
171. C₃×C₄⋊Q₈	C₂³	semidirect
172. C₃×C₄⋊Q₈	C₂³	semidirect
173. C₃×C₄⋊Q₈	C₂³	semidirect
174. C₃×C₄⋊Q₈	C₂³	semidirect
175. C₃×C₄⋊Q₈	C₂³	semidirect
192. C₃×#126	C₂³	semidirect
193. C₃×#126	C₂³	semidirect
194. C₃×#126	C₂³	semidirect
195. C₃×#126	C₂³	semidirect
196. C₃×#126	C₂³	semidirect
197. C₃×#126	C₂³	semidirect
198. C₃×#126	C₂³	semidirect
199. C₃×#126	C₂³	semidirect
200. C₃×#126	C₂³	semidirect
201. C₃×#126	C₂³	semidirect
202. C₃×#126	C₂³	semidirect
203. C₃×#126	C₂³	semidirect
204. C₃×#125	C₂³	semidirect
205. C₃×#125	C₂³	semidirect
206. C₃×#125	C₂³	semidirect
207. C₃×#125	C₂³	semidirect
208. C₃×#125	C₂³	semidirect
209. C₃×#125	C₂³	semidirect
210. C₃×#125	C₂³	semidirect
211. C₃×#125	C₂³	semidirect
212. C₃×#125	C₂³	semidirect
213. C₃×#125	C₂³	semidirect
214. C₃×#125	C₂³	semidirect
215. C₃×#125	C₂³	semidirect
216. C₃×#125	C₂³	semidirect
230. C₃×#124	C₂³	semidirect
231. C₃×#124	C₂³	semidirect
232. C₃×#124	C₂³	semidirect
233. C₃×#124	C₂³	semidirect
263. C₃×#123	C₂³	semidirect
264. C₃×#123	C₂³	semidirect
265. C₃×#123	C₂³	semidirect
266. C₃×#123	C₂³	semidirect
267. C₃×#123	C₂³	semidirect
268. C₃×#123	C₂³	semidirect
269. C₃×#123	C₂³	semidirect
287. C₃×C₂²⋊Q₈	C₂³	semidirect
288. C₃×C₂²⋊Q₈	C₂³	semidirect
289. C₃×C₂²⋊Q₈	C₂³	semidirect
290. C₃×C₂²⋊Q₈	C₂³	semidirect
291. C₃×C₂²⋊Q₈	C₂³	semidirect
292. C₃×C₂²⋊Q₈	C₂³	semidirect
293. C₃×C₂²⋊Q₈	C₂³	semidirect
294. C₃×C₂²⋊Q₈	C₂³	semidirect
295. C₃×C₂²⋊Q₈	C₂³	semidirect
296. C₃×C₂²⋊Q₈	C₂³	semidirect
297. C₃×C₂²⋊Q₈	C₂³	semidirect
298. C₃×C₂²⋊Q₈	C₂³	semidirect
299. C₃×C₂²⋊Q₈	C₂³	semidirect
313. C₃×#121	C₂³	semidirect
314. C₃×#121	C₂³	semidirect
315. C₃×#121	C₂³	semidirect
330. C₃×#120	C₂³	semidirect
331. C₃×C₄×Q₈	C₂³	semidirect
332. C₃×C₄×Q₈	C₂³	semidirect
333. C₃×C₄×Q₈	C₂³	semidirect
334. C₃×C₄×Q₈	C₂³	semidirect
335. C₃×C₄×Q₈	C₂³	semidirect
336. C₃×C₄×Q₈	C₂³	semidirect
337. C₃×C₄×Q₈	C₂³	semidirect
338. C₃×C₄×Q₈	C₂³	semidirect
339. C₃×C₄×Q₈	C₂³	semidirect
362. C₃×C₄×D₄	C₂³	semidirect
363. C₃×C₄×D₄	C₂³	semidirect
364. C₃×C₄×D₄	C₂³	semidirect
365. C₃×C₄×D₄	C₂³	semidirect
366. C₃×C₄×D₄	C₂³	semidirect
367. C₃×C₄×D₄	C₂³	semidirect
368. C₃×C₄×D₄	C₂³	semidirect
383. C₃×#117	C₂³	semidirect
384. C₃×#117	C₂³	semidirect
385. C₃×#117	C₂³	semidirect
386. C₃×#117	C₂³	semidirect
387. C₃×#117	C₂³	semidirect
388. C₃×#117	C₂³	semidirect
389. C₃×#117	C₂³	semidirect
390. C₃×#117	C₂³	semidirect
395. C₂×C₃×C₄⋊C₄	C₂³	semidirect
396. C₂×C₃×C₄⋊C₄	C₂³	semidirect
397. C₂×C₃×C₄⋊C₄	C₂³	semidirect
414. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
417. C₂×C₃×C₄²	C₂³	semidirect
418. C₂×C₃×C₄²	C₂³	semidirect
419. #563	C₂²×C₃	semidirect
420. #563	C₂²×C₃	semidirect
421. #563	C₂²×C₃	semidirect
422. #563	C₂²×C₃	semidirect
423. #562	C₂²×C₃	semidirect
424. #562	C₂²×C₃	semidirect
425. H(3,𝔽₄)	C₂²×C₃	semidirect
426. H(3,𝔽₄)	C₂²×C₃	semidirect
427. #560	C₂²×C₃	semidirect
428. #560	C₂²×C₃	semidirect
429. #559	C₂²×C₃	semidirect
430. #559	C₂²×C₃	semidirect
431. #556	C₂²×C₃	semidirect
432. #556	C₂²×C₃	semidirect
433. #556	C₂²×C₃	semidirect
434. #556	C₂²×C₃	semidirect
435. #555	C₂²×C₃	semidirect
436. #554	C₂²×C₃	semidirect
437. #554	C₂²×C₃	semidirect
438. #554	C₂²×C₃	semidirect
439. #553	C₂²×C₃	semidirect
440. #553	C₂²×C₃	semidirect
441. #553	C₂²×C₃	semidirect
442. #553	C₂²×C₃	semidirect
443. #552	C₂²×C₃	semidirect
444. #552	C₂²×C₃	semidirect
445. #552	C₂²×C₃	semidirect
446. #552	C₂²×C₃	semidirect
447. #552	C₂²×C₃	semidirect
448. #552	C₂²×C₃	semidirect
449. #552	C₂²×C₃	semidirect
450. #552	C₂²×C₃	semidirect
451. #552	C₂²×C₃	semidirect
452. #552	C₂²×C₃	semidirect
453. #551	C₂²×C₃	semidirect
454. #551	C₂²×C₃	semidirect
455. #551	C₂²×C₃	semidirect
456. #551	C₂²×C₃	semidirect
457. #551	C₂²×C₃	semidirect
458. #551	C₂²×C₃	semidirect
459. #551	C₂²×C₃	semidirect
460. #551	C₂²×C₃	semidirect
461. #551	C₂²×C₃	semidirect
462. #551	C₂²×C₃	semidirect
463. #551	C₂²×C₃	semidirect
464. #551	C₂²×C₃	semidirect
465. #551	C₂²×C₃	semidirect
466. #551	C₂²×C₃	semidirect
467. #551	C₂²×C₃	semidirect
468. #551	C₂²×C₃	semidirect
469. #551	C₂²×C₃	semidirect
470. #551	C₂²×C₃	semidirect
471. #551	C₂²×C₃	semidirect
472. #551	C₂²×C₃	semidirect
473. #551	C₂²×C₃	semidirect
474. #551	C₂²×C₃	semidirect
475. #547	C₂²×C₃	semidirect
476. #547	C₂²×C₃	semidirect
477. #546	C₂²×C₃	semidirect
478. #546	C₂²×C₃	semidirect
479. #546	C₂²×C₃	semidirect
480. #546	C₂²×C₃	semidirect
481. #546	C₂²×C₃	semidirect
482. #546	C₂²×C₃	semidirect
483. D₄²	C₂²×C₃	semidirect
484. #544	C₂²×C₃	semidirect
485. #543	C₂²×C₃	semidirect
486. #543	C₂²×C₃	semidirect
487. #542	C₂²×C₃	semidirect
488. #542	C₂²×C₃	semidirect
489. #542	C₂²×C₃	semidirect
490. #542	C₂²×C₃	semidirect
491. #542	C₂²×C₃	semidirect
492. #542	C₂²×C₃	semidirect
493. #541	C₂²×C₃	semidirect
494. #541	C₂²×C₃	semidirect
495. #541	C₂²×C₃	semidirect
496. #540	C₂²×C₃	semidirect
497. #539	C₂²×C₃	semidirect
498. #539	C₂²×C₃	semidirect
499. #539	C₂²×C₃	semidirect
500. #539	C₂²×C₃	semidirect
501. #539	C₂²×C₃	semidirect
502. #539	C₂²×C₃	semidirect
504. #538	C₂²×C₃	semidirect
505. #538	C₂²×C₃	semidirect
506. #538	C₂²×C₃	semidirect
507. #538	C₂²×C₃	semidirect
508. #538	C₂²×C₃	semidirect
509. #536	C₂²×C₃	semidirect
510. #536	C₂²×C₃	semidirect
513. #534	C₂²×C₃	semidirect
514. #533	C₂²×C₃	semidirect
515. #533	C₂²×C₃	semidirect
516. #529	C₂²×C₃	semidirect
517. #529	C₂²×C₃	semidirect
518. #529	C₂²×C₃	semidirect
519. #529	C₂²×C₃	semidirect
520. #529	C₂²×C₃	semidirect
521. #529	C₂²×C₃	semidirect
522. #529	C₂²×C₃	semidirect
523. #529	C₂²×C₃	semidirect
524. C₂×#126	C₂²×C₃	semidirect
525. C₂×#126	C₂²×C₃	semidirect
526. C₂×#124	C₂²×C₃	semidirect
528. #525	C₂²×C₃	semidirect
529. #525	C₂²×C₃	semidirect
530. C₂×#123	C₂²×C₃	semidirect
531. C₂×#123	C₂²×C₃	semidirect
532. C₂×#123	C₂²×C₃	semidirect
533. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
535. C₂×#120	C₂²×C₃	semidirect
536. #520	C₂²×C₃	semidirect
537. #519	C₂²×C₃	semidirect
538. #518	C₂²×C₃	semidirect
539. #518	C₂²×C₃	semidirect
540. #518	C₂²×C₃	semidirect
541. C₄×#41	C₂²×C₃	semidirect
542. C₄×#41	C₂²×C₃	semidirect
543. C₂×C₄×D₄	C₂²×C₃	semidirect
544. C₂×#117	C₂²×C₃	semidirect
545. C₂×#117	C₂²×C₃	semidirect
546. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
697. C₄⋊Q₈	C₂³×C₃	semidirect
698. C₄⋊Q₈	C₂³×C₃	semidirect
699. C₄⋊Q₈	C₂³×C₃	semidirect
700. C₄⋊Q₈	C₂³×C₃	semidirect
701. C₄⋊Q₈	C₂³×C₃	semidirect
718. #126	C₂³×C₃	semidirect
719. #126	C₂³×C₃	semidirect
720. #126	C₂³×C₃	semidirect
721. #126	C₂³×C₃	semidirect
722. #126	C₂³×C₃	semidirect
723. #126	C₂³×C₃	semidirect
724. #126	C₂³×C₃	semidirect
725. #126	C₂³×C₃	semidirect
726. #126	C₂³×C₃	semidirect
727. #126	C₂³×C₃	semidirect
728. #126	C₂³×C₃	semidirect
729. #126	C₂³×C₃	semidirect
730. #125	C₂³×C₃	semidirect
731. #125	C₂³×C₃	semidirect
732. #125	C₂³×C₃	semidirect
733. #125	C₂³×C₃	semidirect
734. #125	C₂³×C₃	semidirect
735. #125	C₂³×C₃	semidirect
736. #125	C₂³×C₃	semidirect
737. #125	C₂³×C₃	semidirect
738. #125	C₂³×C₃	semidirect
739. #125	C₂³×C₃	semidirect
740. #125	C₂³×C₃	semidirect
741. #125	C₂³×C₃	semidirect
742. #125	C₂³×C₃	semidirect
756. #124	C₂³×C₃	semidirect
757. #124	C₂³×C₃	semidirect
758. #124	C₂³×C₃	semidirect
759. #124	C₂³×C₃	semidirect
789. #123	C₂³×C₃	semidirect
790. #123	C₂³×C₃	semidirect
791. #123	C₂³×C₃	semidirect
792. #123	C₂³×C₃	semidirect
793. #123	C₂³×C₃	semidirect
794. #123	C₂³×C₃	semidirect
795. #123	C₂³×C₃	semidirect
813. C₂²⋊Q₈	C₂³×C₃	semidirect
814. C₂²⋊Q₈	C₂³×C₃	semidirect
815. C₂²⋊Q₈	C₂³×C₃	semidirect
816. C₂²⋊Q₈	C₂³×C₃	semidirect
817. C₂²⋊Q₈	C₂³×C₃	semidirect
818. C₂²⋊Q₈	C₂³×C₃	semidirect
819. C₂²⋊Q₈	C₂³×C₃	semidirect
820. C₂²⋊Q₈	C₂³×C₃	semidirect
821. C₂²⋊Q₈	C₂³×C₃	semidirect
822. C₂²⋊Q₈	C₂³×C₃	semidirect
823. C₂²⋊Q₈	C₂³×C₃	semidirect
824. C₂²⋊Q₈	C₂³×C₃	semidirect
825. C₂²⋊Q₈	C₂³×C₃	semidirect
839. #121	C₂³×C₃	semidirect
840. #121	C₂³×C₃	semidirect
841. #121	C₂³×C₃	semidirect
856. #120	C₂³×C₃	semidirect
857. C₄×Q₈	C₂³×C₃	semidirect
858. C₄×Q₈	C₂³×C₃	semidirect
859. C₄×Q₈	C₂³×C₃	semidirect
860. C₄×Q₈	C₂³×C₃	semidirect
861. C₄×Q₈	C₂³×C₃	semidirect
862. C₄×Q₈	C₂³×C₃	semidirect
863. C₄×Q₈	C₂³×C₃	semidirect
864. C₄×Q₈	C₂³×C₃	semidirect
865. C₄×Q₈	C₂³×C₃	semidirect
888. C₄×D₄	C₂³×C₃	semidirect
889. C₄×D₄	C₂³×C₃	semidirect
890. C₄×D₄	C₂³×C₃	semidirect
891. C₄×D₄	C₂³×C₃	semidirect
892. C₄×D₄	C₂³×C₃	semidirect
893. C₄×D₄	C₂³×C₃	semidirect
894. C₄×D₄	C₂³×C₃	semidirect
909. #117	C₂³×C₃	semidirect
910. #117	C₂³×C₃	semidirect
911. #117	C₂³×C₃	semidirect
912. #117	C₂³×C₃	semidirect
913. #117	C₂³×C₃	semidirect
914. #117	C₂³×C₃	semidirect
915. #117	C₂³×C₃	semidirect
916. #117	C₂³×C₃	semidirect
921. C₂×C₄⋊C₄	C₂³×C₃	semidirect
922. C₂×C₄⋊C₄	C₂³×C₃	semidirect
923. C₂×C₄⋊C₄	C₂³×C₃	semidirect
940. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
943. C₂×C₄²	C₂³×C₃	semidirect
944. C₂×C₄²	C₂³×C₃	semidirect
1269. C₃	#63026	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3568	2
C₃×#3566	2
C₃×#3564	2
C₃×#3545	2
C₃×#3535	2
C₃×#3533	2
C₃×#3532	2
C₃×#3521	2
C₃×#3513	2
C₃×#3510	2
C₃×#3495	2
C₃×#3491	2
C₃×#3490	2
C₃×#3475	2
C₂×C₃×#551	2
#63026	3

Subgroups — C3×#63026 #10681633

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63026 #10681633