Subgroups — C₃×#63015 #10681622

Order 768.

7166 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3561	C₂	1	6	yes	maximal, complemented
2	C₃×#3554	C₂	1	3	yes	maximal, complemented
3	C₃×#3552	C₂	1	3	yes	maximal, complemented
4	C₃×#3547	C₂	1	3	yes	maximal, complemented
5	C₃×#3541	C₂	1	6	yes	maximal, complemented
6	C₃×#3536	C₂	1	6	yes	maximal, complemented
7	C₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3520	C₂	1	6	yes	maximal, complemented
9	C₃×#3519	C₂	1	3	yes	maximal, complemented
10	C₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3516	C₂	1	2	yes	maximal, complemented
12	C₃×#3514	C₂	1	3	yes	maximal, complemented
13	C₃×#3511	C₂	1	3	yes	maximal, complemented
14	C₃×#3501	C₂	1	3	yes	maximal, complemented
15	C₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3489	C₂	1	2	yes	maximal, complemented
17	C₃×#3486	C₂	1	2	yes	maximal, complemented
18	C₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3481	C₂	1	3	yes	maximal, complemented
20	C₃×Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₃×D₄×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#548	C₂	1	2	yes	maximal, complemented
24	#63015	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
26	C₂²×C₃×#41	C₂²	1	2	yes	complemented
27	C₂³×C₃×Q₈	C₂²	1	2	yes	complemented
28	C₃×#563	C₂²	1	12	yes	complemented
29	C₃×#562	C₂²	1	12	yes	complemented
30	C₃×#562	C₂²	1	12	yes	complemented
31	C₃×#559	C₂²	1	3	yes	complemented
32	C₃×#559	C₂²	1	3	yes	complemented
33	C₃×Q₈²	C₂²	1	1	yes	characteristic, complemented
34	C₃×#557	C₂²	1	3	yes	complemented
35	C₃×#557	C₂²	1	1	yes	characteristic, complemented
36	C₃×#556	C₂²	1	3	yes	complemented
37	C₃×#556	C₂²	1	6	yes	complemented
38	C₃×#556	C₂²	1	3	yes	complemented
39	C₃×#556	C₂²	1	6	yes	complemented
40	C₃×#555	C₂²	1	6	yes	complemented
41	C₃×#555	C₂²	1	3	yes	complemented
42	C₃×#554	C₂²	1	3	yes	—
43	C₃×#554	C₂²	1	3	yes	—
44	C₃×#554	C₂²	1	6	yes	complemented
45	C₃×#554	C₂²	1	3	yes	complemented
46	C₃×#554	C₂²	1	6	yes	complemented
47	C₃×#554	C₂²	1	6	yes	complemented
48	C₃×#554	C₂²	1	12	yes	complemented
49	C₃×#554	C₂²	1	3	yes	complemented
50	C₃×#553	C₂²	1	3	yes	complemented
51	C₃×#553	C₂²	1	6	yes	complemented
52	C₃×#553	C₂²	1	3	yes	complemented
53	C₃×#553	C₂²	1	6	yes	complemented
54	C₃×#553	C₂²	1	6	yes	complemented
55	C₃×#552	C₂²	1	3	yes	complemented
56	C₃×#552	C₂²	1	3	yes	complemented
57	C₃×#552	C₂²	1	6	yes	complemented
58	C₃×#551	C₂²	1	6	yes	complemented
59	C₃×#551	C₂²	1	6	yes	complemented
60	C₃×#551	C₂²	1	12	yes	complemented
61	C₃×#550	C₂²	1	1	yes	characteristic, complemented
62	C₃×#550	C₂²	1	3	yes	complemented
63	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic
64	C₃×D₄×Q₈	C₂²	1	3	yes	—
65	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
66	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
67	C₃×D₄×Q₈	C₂²	1	6	yes	complemented
68	C₃×D₄×Q₈	C₂²	1	3	yes	complemented
69	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
70	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
71	C₃×D₄×Q₈	C₂²	1	6	yes	complemented
72	C₃×D₄×Q₈	C₂²	1	6	yes	complemented
73	C₃×D₄×Q₈	C₂²	1	3	yes	complemented
74	C₃×#548	C₂²	1	1	yes	characteristic
75	C₃×#548	C₂²	1	2	yes	complemented
76	C₃×#548	C₂²	1	2	yes	complemented
77	C₃×#548	C₂²	1	2	yes	complemented
78	C₃×#548	C₂²	1	6	yes	complemented
79	C₃×#548	C₂²	1	6	yes	complemented
80	C₃×#548	C₂²	1	6	yes	complemented
81	C₃×#548	C₂²	1	6	yes	complemented
82	C₃×#548	C₂²	1	2	yes	complemented
83	C₃×#548	C₂²	1	1	yes	characteristic, complemented
84	C₃×#548	C₂²	1	6	yes	complemented
85	C₃×#548	C₂²	1	6	yes	complemented
86	C₃×#548	C₂²	1	6	yes	complemented
87	C₃×#547	C₂²	1	3	yes	complemented
88	C₃×#547	C₂²	1	3	yes	complemented
89	C₃×#547	C₂²	1	6	yes	complemented
90	C₃×#547	C₂²	1	6	yes	complemented
91	C₃×#547	C₂²	1	6	yes	complemented
92	C₃×#546	C₂²	1	1	yes	characteristic
93	C₃×#546	C₂²	1	3	yes	—
94	C₃×#546	C₂²	1	6	yes	complemented
95	C₃×#546	C₂²	1	6	yes	complemented
96	C₃×#546	C₂²	1	6	yes	complemented
97	C₃×#546	C₂²	1	6	yes	complemented
98	C₃×#546	C₂²	1	12	yes	complemented
99	C₃×D₄²	C₂²	1	3	yes	—
100	C₃×D₄²	C₂²	1	3	yes	—
101	C₃×#544	C₂²	1	6	yes	complemented
102	C₃×#543	C₂²	1	12	yes	complemented
103	C₃×#542	C₂²	1	6	yes	complemented
104	C₃×#542	C₂²	1	6	yes	complemented
105	C₃×#542	C₂²	1	6	yes	complemented
106	C₃×#542	C₂²	1	6	yes	complemented
107	C₃×#542	C₂²	1	6	yes	complemented
108	C₃×#542	C₂²	1	12	yes	complemented
109	C₃×#542	C₂²	1	6	yes	complemented
110	C₃×#541	C₂²	1	6	yes	complemented
111	C₃×#540	C₂²	1	6	yes	complemented
112	C₃×#539	C₂²	1	12	yes	complemented
113	C₃×#539	C₂²	1	12	yes	complemented
114	C₃×#538	C₂²	1	12	yes	complemented
115	C₃×#538	C₂²	1	12	yes	complemented
116	C₃×#537	C₂²	1	6	yes	complemented
117	C₃×#537	C₂²	1	6	yes	complemented
118	C₃×#537	C₂²	1	6	yes	complemented
119	C₃×#536	C₂²	1	6	yes	complemented
120	C₃×#536	C₂²	1	6	yes	complemented
121	C₃×#536	C₂²	1	6	yes	complemented
122	C₃×#533	C₂²	1	3	yes	complemented
123	C₃×#533	C₂²	1	6	yes	complemented
124	C₃×#533	C₂²	1	3	yes	complemented
125	C₃×#533	C₂²	1	3	yes	complemented
126	C₃×#532	C₂²	1	3	yes	complemented
127	C₃×#532	C₂²	1	3	yes	complemented
128	C₃×#532	C₂²	1	3	yes	complemented
129	C₃×#532	C₂²	1	3	yes	complemented
130	C₂×C₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
131	C₃×#529	C₂²	1	6	yes	complemented
132	C₃×#529	C₂²	1	3	yes	complemented
133	C₃×#529	C₂²	1	3	yes	complemented
134	C₃×#529	C₂²	1	3	yes	complemented
135	C₃×#529	C₂²	1	3	yes	complemented
136	C₃×#529	C₂²	1	6	yes	complemented
137	C₂×C₃×#124	C₂²	1	6	yes	complemented
138	C₃×#525	C₂²	1	6	yes	complemented
139	C₃×#525	C₂²	1	6	yes	complemented
140	C₃×#525	C₂²	1	6	yes	complemented
141	C₃×#525	C₂²	1	6	yes	complemented
142	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
143	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
144	C₂×C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
145	C₂×C₃×#121	C₂²	1	6	yes	complemented
146	C₃×#520	C₂²	1	2	yes	complemented
147	C₃×#520	C₂²	1	6	yes	complemented
148	C₃×#519	C₂²	1	2	yes	complemented
149	C₃×#518	C₂²	1	6	yes	—
150	C₃×C₄×#41	C₂²	1	3	yes	—
151	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
152	C₃×C₄×#41	C₂²	1	3	yes	complemented
153	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
154	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₃×C₄×D₄	C₂²	1	3	yes	—
157	C₂×C₃×C₄×D₄	C₂²	1	3	yes	—
158	C₂×C₃×C₄×D₄	C₂²	1	6	yes	complemented
159	#3561	C₂×C₃	1	6	yes	complemented
160	#3554	C₂×C₃	1	3	yes	complemented
161	#3552	C₂×C₃	1	3	yes	complemented
162	#3547	C₂×C₃	1	3	yes	complemented
163	#3541	C₂×C₃	1	6	yes	complemented
164	#3536	C₂×C₃	1	6	yes	complemented
165	#3522	C₂×C₃	1	1	yes	characteristic, complemented
166	#3520	C₂×C₃	1	6	yes	complemented
167	#3519	C₂×C₃	1	3	yes	complemented
168	#3518	C₂×C₃	1	1	yes	characteristic, complemented
169	#3516	C₂×C₃	1	2	yes	complemented
170	#3514	C₂×C₃	1	3	yes	complemented
171	#3511	C₂×C₃	1	3	yes	complemented
172	#3501	C₂×C₃	1	3	yes	complemented
173	#3497	C₂×C₃	1	1	yes	characteristic, complemented
174	#3489	C₂×C₃	1	2	yes	complemented
175	#3486	C₂×C₃	1	2	yes	complemented
176	#3482	C₂×C₃	1	1	yes	characteristic, complemented
177	#3481	C₂×C₃	1	3	yes	complemented
178	Q₈×#41	C₂×C₃	1	1	yes	characteristic, complemented
179	D₄×#41	C₂×C₃	1	1	yes	characteristic, complemented
180	C₂×D₄×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
181	C₂×#548	C₂×C₃	1	2	yes	complemented
182	C₃×2₋¹⁺⁴	—	4	8	no	—
183	C₂×C₃×#41	—	4	8	no	—
184	C₂×C₃×#41	C₂³	1	1	yes	characteristic
185	C₂×C₃×#41	C₂³	1	2	yes	—
186	C₂×C₃×#41	C₂³	1	1	yes	characteristic
187	C₂×C₃×#41	C₂³	1	6	yes	—
188	C₂×C₃×#41	C₂³	1	6	yes	—
189	C₂×C₃×#41	C₂³	1	6	yes	—
190	C₂×C₃×#41	C₂³	1	6	yes	—
191	C₂×C₃×#41	C₂³	1	6	yes	—
192	C₂×C₃×#41	C₂³	1	3	yes	—
193	C₂×C₃×#41	C₂³	1	6	yes	—
194	C₂²×C₃×Q₈	—	4	8	no	—
195	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
196	C₂²×C₃×Q₈	C₂³	1	2	yes	—
197	C₂²×C₃×Q₈	C₂³	1	2	yes	—
198	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
199	C₂²×C₃×Q₈	C₂³	1	6	yes	—
200	C₂²×C₃×Q₈	C₂³	1	6	yes	—
201	C₂²×C₃×Q₈	C₂³	1	6	yes	—
202	C₂²×C₃×Q₈	C₂³	1	6	yes	—
203	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
204	C₂²×C₃×D₄	C₂³	1	3	yes	—
205	C₂²×C₃×D₄	C₂³	1	6	yes	—
206	C₂²×C₃×D₄	C₂³	1	6	yes	—
207	C₂³×C₃×C₄	C₂³	1	6	yes	—
208	C₂³×C₃×C₄	C₂³	1	6	yes	—
209	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
210	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
211	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
212	C₃×C₄⋊Q₈	C₂³	1	12	yes	—
213	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
214	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
215	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
216	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
217	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
218	C₃×C₄⋊Q₈	C₂³	1	6	yes	—
219	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
220	C₃×C₄⋊Q₈	C₂³	1	3	yes	—
221	C₃×#127	C₂³	1	3	yes	—
222	C₃×#127	C₂³	1	3	yes	—
223	C₃×#126	C₂³	1	6	yes	—
224	C₃×#126	C₂³	1	6	yes	—
225	C₃×#126	C₂³	1	12	yes	—
226	C₃×#126	C₂³	1	12	yes	—
227	C₃×#126	C₂³	1	12	yes	—
228	C₃×#126	C₂³	1	6	yes	—
229	C₃×#126	C₂³	1	6	yes	—
230	C₃×#126	C₂³	1	6	yes	—
231	C₃×#126	C₂³	1	6	yes	—
232	C₃×#125	C₂³	1	12	yes	—
233	C₃×#125	C₂³	1	12	yes	—
234	C₃×#125	C₂³	1	6	yes	—
235	C₃×#125	C₂³	1	3	yes	—
236	C₃×#125	C₂³	1	3	yes	—
237	C₃×#125	C₂³	1	3	yes	—
238	C₃×#125	C₂³	1	3	yes	—
239	C₃×#125	C₂³	1	6	yes	—
240	C₃×#125	C₂³	1	6	yes	—
241	C₃×#124	C₂³	1	1	yes	characteristic
242	C₃×#124	C₂³	1	3	yes	—
243	C₃×#124	C₂³	1	6	yes	—
244	C₃×#124	C₂³	1	6	yes	—
245	C₃×#124	C₂³	1	12	yes	—
246	C₃×#124	C₂³	1	12	yes	—
247	C₃×#124	C₂³	1	12	yes	—
248	C₃×#124	C₂³	1	3	yes	—
249	C₃×#124	C₂³	1	6	yes	—
250	C₃×#124	C₂³	1	6	yes	—
251	C₃×#124	C₂³	1	12	yes	—
252	C₃×#124	C₂³	1	3	yes	—
253	C₃×#124	C₂³	1	6	yes	—
254	C₃×#124	C₂³	1	6	yes	—
255	C₃×#124	C₂³	1	6	yes	—
256	C₃×#123	C₂³	1	6	yes	—
257	C₃×#123	C₂³	1	12	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	12	yes	—
263	C₃×#123	C₂³	1	12	yes	—
264	C₃×#123	C₂³	1	12	yes	—
265	C₃×#123	C₂³	1	12	yes	—
266	C₃×#123	C₂³	1	12	yes	—
267	C₃×#123	C₂³	1	6	yes	—
268	C₃×#123	C₂³	1	6	yes	—
269	C₃×#123	C₂³	1	2	yes	—
270	C₃×#123	C₂³	1	6	yes	—
271	C₃×#123	C₂³	1	6	yes	—
272	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
273	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
274	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
275	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
276	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
277	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
278	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
279	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
280	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
281	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
282	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
283	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
284	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
285	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
286	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
287	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
288	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
289	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
290	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
291	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
292	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
293	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
294	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
295	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
296	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
297	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
298	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
299	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	6	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	12	yes	—
307	C₃×#121	C₂³	1	12	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	12	yes	—
312	C₃×#121	C₂³	1	12	yes	—
313	C₃×#121	C₂³	1	12	yes	—
314	C₃×#121	C₂³	1	3	yes	—
315	C₃×#121	C₂³	1	6	yes	—
316	C₃×#121	C₂³	1	12	yes	—
317	C₃×#121	C₂³	1	6	yes	—
318	C₃×#121	C₂³	1	6	yes	—
319	C₃×#121	C₂³	1	2	yes	—
320	C₃×#121	C₂³	1	6	yes	—
321	C₃×#121	C₂³	1	6	yes	—
322	C₃×#121	C₂³	1	6	yes	—
323	C₃×#121	C₂³	1	6	yes	—
324	C₃×#121	C₂³	1	3	yes	—
325	C₃×#121	C₂³	1	3	yes	—
326	C₃×#121	C₂³	1	6	yes	—
327	C₃×#121	C₂³	1	3	yes	—
328	C₃×#121	C₂³	1	1	yes	characteristic
329	C₃×#121	C₂³	1	3	yes	—
330	C₃×#121	C₂³	1	6	yes	—
331	C₃×#121	C₂³	1	6	yes	—
332	C₃×#120	C₂³	1	6	yes	—
333	C₃×#120	C₂³	1	2	yes	—
334	C₃×#120	C₂³	1	6	yes	—
335	C₃×#120	C₂³	1	12	yes	—
336	C₃×#120	C₂³	1	6	yes	—
337	C₃×C₄×Q₈	C₂³	1	3	yes	—
338	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
339	C₃×C₄×Q₈	C₂³	1	2	yes	—
340	C₃×C₄×Q₈	C₂³	1	3	yes	—
341	C₃×C₄×Q₈	C₂³	1	3	yes	—
342	C₃×C₄×Q₈	C₂³	1	3	yes	—
343	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
344	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
345	C₃×C₄×Q₈	C₂³	1	3	yes	—
346	C₃×C₄×Q₈	C₂³	1	6	yes	—
347	C₃×C₄×Q₈	C₂³	1	3	yes	—
348	C₃×C₄×Q₈	C₂³	1	6	yes	—
349	C₃×C₄×Q₈	C₂³	1	3	yes	—
350	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
351	C₃×C₄×Q₈	C₂³	1	3	yes	—
352	C₃×C₄×Q₈	C₂³	1	6	yes	—
353	C₃×C₄×Q₈	C₂³	1	6	yes	—
354	C₃×C₄×Q₈	C₂³	1	6	yes	—
355	C₃×C₄×Q₈	C₂³	1	6	yes	—
356	C₃×C₄×D₄	C₂³	1	3	yes	—
357	C₃×C₄×D₄	C₂³	1	3	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	1	yes	characteristic
362	C₃×C₄×D₄	C₂³	1	3	yes	—
363	C₃×C₄×D₄	C₂³	1	3	yes	—
364	C₃×C₄×D₄	C₂³	1	6	yes	—
365	C₃×C₄×D₄	C₂³	1	6	yes	—
366	C₃×C₄×D₄	C₂³	1	6	yes	—
367	C₃×C₄×D₄	C₂³	1	3	yes	—
368	C₃×C₄×D₄	C₂³	1	3	yes	—
369	C₃×C₄×D₄	C₂³	1	6	yes	—
370	C₃×C₄×D₄	C₂³	1	3	yes	—
371	C₃×C₄×D₄	C₂³	1	6	yes	—
372	C₃×C₄×D₄	C₂³	1	6	yes	—
373	C₃×C₄×D₄	C₂³	1	6	yes	—
374	C₃×C₄×D₄	C₂³	1	6	yes	—
375	C₃×C₄×D₄	C₂³	1	6	yes	—
376	C₃×C₄×D₄	C₂³	1	6	yes	—
377	C₃×C₄×D₄	C₂³	1	3	yes	—
378	C₃×C₄×D₄	C₂³	1	6	yes	—
379	C₃×C₄×D₄	C₂³	1	6	yes	—
380	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
381	C₃×C₄×D₄	C₂³	1	3	yes	—
382	C₃×C₄×D₄	C₂³	1	3	yes	—
383	C₃×C₄×D₄	C₂³	1	3	yes	—
384	C₃×C₄×D₄	C₂³	1	3	yes	—
385	C₃×C₄×D₄	C₂³	1	3	yes	—
386	C₃×C₄×D₄	C₂³	1	3	yes	—
387	C₃×C₄×D₄	C₂³	1	12	yes	—
388	C₃×C₄×D₄	C₂³	1	12	yes	—
389	C₃×C₄×D₄	C₂³	1	6	yes	—
390	C₃×C₄×D₄	C₂³	1	6	yes	—
391	C₃×C₄×D₄	C₂³	1	12	yes	—
392	C₃×C₄×D₄	C₂³	1	6	yes	—
393	C₃×C₄×D₄	C₂³	1	6	yes	—
394	C₃×#117	C₂³	1	6	yes	—
395	C₃×#117	C₂³	1	3	yes	—
396	C₃×#117	C₂³	1	3	yes	—
397	C₃×#117	C₂³	1	3	yes	—
398	C₃×#117	C₂³	1	3	yes	—
399	C₃×#117	C₂³	1	3	yes	—
400	C₃×#117	C₂³	1	6	yes	—
401	C₃×#117	C₂³	1	6	yes	—
402	C₃×#117	C₂³	1	6	yes	—
403	C₃×#117	C₂³	1	6	yes	—
404	C₃×#117	C₂³	1	6	yes	—
405	C₃×#117	C₂³	1	12	yes	—
406	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
407	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
408	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
409	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
410	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
411	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	—
412	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
413	C₂×C₃×C₄⋊C₄	C₂³	1	6	yes	—
414	C₂×C₃×C₄⋊C₄	C₂³	1	12	yes	—
415	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
416	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
417	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
418	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	—
419	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
420	C₂×C₃×C₂²⋊C₄	C₂³	1	12	yes	—
421	C₂×C₃×C₄²	C₂³	1	3	yes	—
422	C₂×C₃×C₄²	C₂³	1	3	yes	—
423	C₂×C₃×C₄²	C₂³	1	6	yes	—
424	C₂×C₃×C₄²	C₂³	1	3	yes	—
425	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
426	C₂²×#41	C₂²×C₃	1	2	yes	complemented
427	C₂³×Q₈	C₂²×C₃	1	2	yes	complemented
428	#563	C₂²×C₃	1	12	yes	complemented
429	#562	C₂²×C₃	1	12	yes	complemented
430	#562	C₂²×C₃	1	12	yes	complemented
431	#559	C₂²×C₃	1	3	yes	complemented
432	#559	C₂²×C₃	1	3	yes	complemented
433	Q₈²	C₂²×C₃	1	1	yes	characteristic, complemented
434	#557	C₂²×C₃	1	3	yes	complemented
435	#557	C₂²×C₃	1	1	yes	characteristic, complemented
436	#556	C₂²×C₃	1	3	yes	complemented
437	#556	C₂²×C₃	1	6	yes	complemented
438	#556	C₂²×C₃	1	3	yes	complemented
439	#556	C₂²×C₃	1	6	yes	complemented
440	#555	C₂²×C₃	1	6	yes	complemented
441	#555	C₂²×C₃	1	3	yes	complemented
442	#554	C₂²×C₃	1	3	yes	—
443	#554	C₂²×C₃	1	3	yes	—
444	#554	C₂²×C₃	1	6	yes	complemented
445	#554	C₂²×C₃	1	3	yes	complemented
446	#554	C₂²×C₃	1	6	yes	complemented
447	#554	C₂²×C₃	1	6	yes	complemented
448	#554	C₂²×C₃	1	12	yes	complemented
449	#554	C₂²×C₃	1	3	yes	complemented
450	#553	C₂²×C₃	1	3	yes	complemented
451	#553	C₂²×C₃	1	6	yes	complemented
452	#553	C₂²×C₃	1	3	yes	complemented
453	#553	C₂²×C₃	1	6	yes	complemented
454	#553	C₂²×C₃	1	6	yes	complemented
455	#552	C₂²×C₃	1	3	yes	complemented
456	#552	C₂²×C₃	1	3	yes	complemented
457	#552	C₂²×C₃	1	6	yes	complemented
458	#551	C₂²×C₃	1	6	yes	complemented
459	#551	C₂²×C₃	1	6	yes	complemented
460	#551	C₂²×C₃	1	12	yes	complemented
461	#550	C₂²×C₃	1	1	yes	characteristic, complemented
462	#550	C₂²×C₃	1	3	yes	complemented
463	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic
464	D₄×Q₈	C₂²×C₃	1	3	yes	—
465	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
466	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
467	D₄×Q₈	C₂²×C₃	1	6	yes	complemented
468	D₄×Q₈	C₂²×C₃	1	3	yes	complemented
469	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
470	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
471	D₄×Q₈	C₂²×C₃	1	6	yes	complemented
472	D₄×Q₈	C₂²×C₃	1	6	yes	complemented
473	D₄×Q₈	C₂²×C₃	1	3	yes	complemented
474	#548	C₂²×C₃	1	1	yes	characteristic
475	#548	C₂²×C₃	1	2	yes	complemented
476	#548	C₂²×C₃	1	2	yes	complemented
477	#548	C₂²×C₃	1	2	yes	complemented
478	#548	C₂²×C₃	1	6	yes	complemented
479	#548	C₂²×C₃	1	6	yes	complemented
480	#548	C₂²×C₃	1	6	yes	complemented
481	#548	C₂²×C₃	1	6	yes	complemented
482	#548	C₂²×C₃	1	2	yes	complemented
483	#548	C₂²×C₃	1	1	yes	characteristic, complemented
484	#548	C₂²×C₃	1	6	yes	complemented
485	#548	C₂²×C₃	1	6	yes	complemented
486	#548	C₂²×C₃	1	6	yes	complemented
487	#547	C₂²×C₃	1	3	yes	complemented
488	#547	C₂²×C₃	1	3	yes	complemented
489	#547	C₂²×C₃	1	6	yes	complemented
490	#547	C₂²×C₃	1	6	yes	complemented
491	#547	C₂²×C₃	1	6	yes	complemented
492	#546	C₂²×C₃	1	1	yes	characteristic
493	#546	C₂²×C₃	1	3	yes	—
494	#546	C₂²×C₃	1	6	yes	complemented
495	#546	C₂²×C₃	1	6	yes	complemented
496	#546	C₂²×C₃	1	6	yes	complemented
497	#546	C₂²×C₃	1	6	yes	complemented
498	#546	C₂²×C₃	1	12	yes	complemented
499	D₄²	C₂²×C₃	1	3	yes	—
500	D₄²	C₂²×C₃	1	3	yes	—
501	#544	C₂²×C₃	1	6	yes	complemented
502	#543	C₂²×C₃	1	12	yes	complemented
503	#542	C₂²×C₃	1	6	yes	complemented
504	#542	C₂²×C₃	1	6	yes	complemented
505	#542	C₂²×C₃	1	6	yes	complemented
506	#542	C₂²×C₃	1	6	yes	complemented
507	#542	C₂²×C₃	1	6	yes	complemented
508	#542	C₂²×C₃	1	12	yes	complemented
509	#542	C₂²×C₃	1	6	yes	complemented
510	#541	C₂²×C₃	1	6	yes	complemented
511	#540	C₂²×C₃	1	6	yes	complemented
512	#539	C₂²×C₃	1	12	yes	complemented
513	#539	C₂²×C₃	1	12	yes	complemented
514	#538	C₂²×C₃	1	12	yes	complemented
515	#538	C₂²×C₃	1	12	yes	complemented
516	#537	C₂²×C₃	1	6	yes	complemented
517	#537	C₂²×C₃	1	6	yes	complemented
518	#537	C₂²×C₃	1	6	yes	complemented
519	#536	C₂²×C₃	1	6	yes	complemented
520	#536	C₂²×C₃	1	6	yes	complemented
521	#536	C₂²×C₃	1	6	yes	complemented
522	#533	C₂²×C₃	1	3	yes	complemented
523	#533	C₂²×C₃	1	6	yes	complemented
524	#533	C₂²×C₃	1	3	yes	complemented
525	#533	C₂²×C₃	1	3	yes	complemented
526	#532	C₂²×C₃	1	3	yes	complemented
527	#532	C₂²×C₃	1	3	yes	complemented
528	#532	C₂²×C₃	1	3	yes	complemented
529	#532	C₂²×C₃	1	3	yes	complemented
530	C₂×C₄⋊Q₈	C₂²×C₃	1	3	yes	complemented
531	#529	C₂²×C₃	1	6	yes	complemented
532	#529	C₂²×C₃	1	3	yes	complemented
533	#529	C₂²×C₃	1	3	yes	complemented
534	#529	C₂²×C₃	1	3	yes	complemented
535	#529	C₂²×C₃	1	3	yes	complemented
536	#529	C₂²×C₃	1	6	yes	complemented
537	C₂×#124	C₂²×C₃	1	6	yes	complemented
538	#525	C₂²×C₃	1	6	yes	complemented
539	#525	C₂²×C₃	1	6	yes	complemented
540	#525	C₂²×C₃	1	6	yes	complemented
541	#525	C₂²×C₃	1	6	yes	complemented
542	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
543	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
544	C₂×C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
545	C₂×#121	C₂²×C₃	1	6	yes	complemented
546	#520	C₂²×C₃	1	2	yes	complemented
547	#520	C₂²×C₃	1	6	yes	complemented
548	#519	C₂²×C₃	1	2	yes	complemented
549	#518	C₂²×C₃	1	6	yes	—
550	C₄×#41	C₂²×C₃	1	3	yes	—
551	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₄×#41	C₂²×C₃	1	3	yes	complemented
553	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
554	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
555	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
556	C₂×C₄×D₄	C₂²×C₃	1	3	yes	—
557	C₂×C₄×D₄	C₂²×C₃	1	3	yes	—
558	C₂×C₄×D₄	C₂²×C₃	1	6	yes	complemented
559	C₂⁴×C₃	C₂⁴	1	2	yes	—
560	C₂⁴×C₃	C₂⁴	1	6	yes	—
561	C₃×#41	—	2	4	no	—
562	C₃×#41	—	2	8	no	—
563	C₃×#41	—	2	4	no	—
564	C₃×#41	—	4	12	no	—
565	C₃×#41	—	4	6	no	—
566	C₃×#41	—	4	12	no	—
567	C₃×#41	—	4	12	no	—
568	C₃×#41	—	4	12	no	—
569	C₃×#41	—	4	12	no	—
570	C₃×#41	—	4	12	no	—
571	C₂×C₃×Q₈	—	2	4	no	—
572	C₂×C₃×Q₈	—	2	8	no	—
573	C₂×C₃×Q₈	—	2	8	no	—
574	C₂×C₃×Q₈	—	2	4	no	—
575	C₂×C₃×Q₈	—	4	12	no	—
576	C₂×C₃×Q₈	—	4	12	no	—
577	C₂×C₃×Q₈	—	4	12	no	—
578	C₂×C₃×Q₈	—	4	12	no	—
579	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
581	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
582	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
583	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
584	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
585	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
586	C₂×C₃×Q₈	C₂⁴	1	6	yes	—
587	C₂×C₃×Q₈	C₂⁴	1	12	yes	—
588	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₃×D₄	—	2	4	no	—
590	C₂×C₃×D₄	—	2	12	no	—
591	C₂×C₃×D₄	—	4	12	no	—
592	C₂×C₃×D₄	—	4	12	no	—
593	C₂×C₃×D₄	C₂⁴	1	2	yes	—
594	C₂×C₃×D₄	C₂⁴	1	6	yes	—
595	C₂×C₃×D₄	C₂⁴	1	2	yes	—
596	C₂×C₃×D₄	C₂⁴	1	3	yes	—
597	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
598	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
599	C₂×C₃×D₄	C₂⁴	1	6	yes	—
600	C₂×C₃×D₄	C₂⁴	1	3	yes	—
601	C₂×C₃×D₄	C₂⁴	1	3	yes	—
602	C₂×C₃×D₄	C₂⁴	1	6	yes	—
603	C₂×C₃×D₄	C₂⁴	1	3	yes	—
604	C₂×C₃×D₄	C₂⁴	1	6	yes	—
605	C₂×C₃×D₄	C₂⁴	1	6	yes	—
606	C₂×C₃×D₄	C₂⁴	1	6	yes	—
607	C₂×C₃×D₄	C₂⁴	1	6	yes	—
608	C₂×C₃×D₄	C₂⁴	1	2	yes	—
609	C₂×C₃×D₄	C₂⁴	1	6	yes	—
610	C₂×C₃×D₄	C₂⁴	1	12	yes	—
611	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₃×C₄	—	4	12	no	—
613	C₂²×C₃×C₄	—	4	12	no	—
614	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
615	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
616	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
617	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
618	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
619	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
620	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
621	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
622	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
623	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
624	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
625	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
626	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
627	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
628	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
629	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
630	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
631	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
632	C₂²×C₃×C₄	C₂⁴	1	12	yes	—
633	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
634	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
635	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
636	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
637	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
639	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
640	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
641	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
642	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
643	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
644	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
645	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
646	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
647	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
648	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
649	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
650	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
651	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
652	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
653	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
654	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
655	C₃×C₄⋊C₄	C₂⁴	1	12	yes	—
656	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
657	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
658	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
659	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
660	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
661	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
663	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
664	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
665	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
666	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
667	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
668	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
669	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
670	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
671	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
673	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
674	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
675	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
676	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
677	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
678	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
679	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
680	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
681	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
682	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
683	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
684	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
685	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
686	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
687	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
688	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
689	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
690	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
691	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
692	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
693	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
694	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
695	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
696	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
697	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
698	C₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
699	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
700	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
701	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
702	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
703	C₃×C₄²	C₂⁴	1	1	yes	characteristic
704	C₃×C₄²	C₂⁴	1	3	yes	—
705	C₃×C₄²	C₂⁴	1	3	yes	—
706	C₃×C₄²	C₂⁴	1	3	yes	—
707	C₃×C₄²	C₂⁴	1	6	yes	—
708	C₃×C₄²	C₂⁴	1	3	yes	—
709	C₃×C₄²	C₂⁴	1	3	yes	—
710	C₃×C₄²	C₂⁴	1	3	yes	—
711	C₃×C₄²	C₂⁴	1	6	yes	—
712	C₃×C₄²	C₂⁴	1	3	yes	—
713	C₃×C₄²	C₂⁴	1	3	yes	—
714	C₃×C₄²	C₂⁴	1	3	yes	—
715	C₃×C₄²	C₂⁴	1	6	yes	—
716	C₃×C₄²	C₂⁴	1	12	yes	—
717	2₋¹⁺⁴	—	4	8	no	—
718	C₂×#41	—	4	8	no	—
719	C₂×#41	C₂³×C₃	1	1	yes	characteristic
720	C₂×#41	C₂³×C₃	1	1	yes	characteristic
721	C₂×#41	C₂³×C₃	1	2	yes	—
722	C₂×#41	C₂³×C₃	1	3	yes	—
723	C₂×#41	C₂³×C₃	1	6	yes	—
724	C₂×#41	C₂³×C₃	1	6	yes	—
725	C₂×#41	C₂³×C₃	1	6	yes	—
726	C₂×#41	C₂³×C₃	1	6	yes	—
727	C₂×#41	C₂³×C₃	1	6	yes	—
728	C₂×#41	C₂³×C₃	1	6	yes	—
729	C₂²×Q₈	—	4	8	no	—
730	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
731	C₂²×Q₈	C₂³×C₃	1	2	yes	—
732	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
733	C₂²×Q₈	C₂³×C₃	1	2	yes	—
734	C₂²×Q₈	C₂³×C₃	1	6	yes	—
735	C₂²×Q₈	C₂³×C₃	1	6	yes	—
736	C₂²×Q₈	C₂³×C₃	1	6	yes	—
737	C₂²×Q₈	C₂³×C₃	1	6	yes	—
738	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
739	C₂²×D₄	C₂³×C₃	1	3	yes	—
740	C₂²×D₄	C₂³×C₃	1	6	yes	—
741	C₂²×D₄	C₂³×C₃	1	6	yes	—
742	C₂³×C₄	C₂³×C₃	1	6	yes	—
743	C₂³×C₄	C₂³×C₃	1	6	yes	—
744	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
745	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
746	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
747	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
748	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
749	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
750	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
751	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
752	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
753	C₄⋊Q₈	C₂³×C₃	1	3	yes	—
754	C₄⋊Q₈	C₂³×C₃	1	6	yes	—
755	C₄⋊Q₈	C₂³×C₃	1	12	yes	—
756	#127	C₂³×C₃	1	3	yes	—
757	#127	C₂³×C₃	1	3	yes	—
758	#126	C₂³×C₃	1	6	yes	—
759	#126	C₂³×C₃	1	12	yes	—
760	#126	C₂³×C₃	1	6	yes	—
761	#126	C₂³×C₃	1	6	yes	—
762	#126	C₂³×C₃	1	6	yes	—
763	#126	C₂³×C₃	1	6	yes	—
764	#126	C₂³×C₃	1	6	yes	—
765	#126	C₂³×C₃	1	12	yes	—
766	#126	C₂³×C₃	1	12	yes	—
767	#125	C₂³×C₃	1	3	yes	—
768	#125	C₂³×C₃	1	3	yes	—
769	#125	C₂³×C₃	1	3	yes	—
770	#125	C₂³×C₃	1	6	yes	—
771	#125	C₂³×C₃	1	3	yes	—
772	#125	C₂³×C₃	1	6	yes	—
773	#125	C₂³×C₃	1	12	yes	—
774	#125	C₂³×C₃	1	6	yes	—
775	#125	C₂³×C₃	1	12	yes	—
776	#124	C₂³×C₃	1	3	yes	—
777	#124	C₂³×C₃	1	6	yes	—
778	#124	C₂³×C₃	1	6	yes	—
779	#124	C₂³×C₃	1	6	yes	—
780	#124	C₂³×C₃	1	12	yes	—
781	#124	C₂³×C₃	1	12	yes	—
782	#124	C₂³×C₃	1	1	yes	characteristic
783	#124	C₂³×C₃	1	3	yes	—
784	#124	C₂³×C₃	1	3	yes	—
785	#124	C₂³×C₃	1	6	yes	—
786	#124	C₂³×C₃	1	6	yes	—
787	#124	C₂³×C₃	1	6	yes	—
788	#124	C₂³×C₃	1	6	yes	—
789	#124	C₂³×C₃	1	12	yes	—
790	#124	C₂³×C₃	1	12	yes	—
791	#123	C₂³×C₃	1	12	yes	—
792	#123	C₂³×C₃	1	6	yes	—
793	#123	C₂³×C₃	1	6	yes	—
794	#123	C₂³×C₃	1	6	yes	—
795	#123	C₂³×C₃	1	12	yes	—
796	#123	C₂³×C₃	1	6	yes	—
797	#123	C₂³×C₃	1	6	yes	—
798	#123	C₂³×C₃	1	2	yes	—
799	#123	C₂³×C₃	1	6	yes	—
800	#123	C₂³×C₃	1	6	yes	—
801	#123	C₂³×C₃	1	6	yes	—
802	#123	C₂³×C₃	1	6	yes	—
803	#123	C₂³×C₃	1	12	yes	—
804	#123	C₂³×C₃	1	12	yes	—
805	#123	C₂³×C₃	1	12	yes	—
806	#123	C₂³×C₃	1	12	yes	—
807	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
808	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
809	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
810	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
811	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
812	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
813	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
814	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
815	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
816	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
817	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
818	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
819	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
820	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
821	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
822	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
823	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
824	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
825	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
826	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
827	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
828	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
829	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
830	C₂²⋊Q₈	C₂³×C₃	1	3	yes	—
831	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
832	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
833	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
834	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
835	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
836	C₂²⋊Q₈	C₂³×C₃	1	6	yes	—
837	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
838	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
839	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
840	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
841	C₂²⋊Q₈	C₂³×C₃	1	12	yes	—
842	#121	C₂³×C₃	1	3	yes	—
843	#121	C₂³×C₃	1	6	yes	—
844	#121	C₂³×C₃	1	12	yes	—
845	#121	C₂³×C₃	1	6	yes	—
846	#121	C₂³×C₃	1	6	yes	—
847	#121	C₂³×C₃	1	12	yes	—
848	#121	C₂³×C₃	1	2	yes	—
849	#121	C₂³×C₃	1	6	yes	—
850	#121	C₂³×C₃	1	6	yes	—
851	#121	C₂³×C₃	1	6	yes	—
852	#121	C₂³×C₃	1	6	yes	—
853	#121	C₂³×C₃	1	6	yes	—
854	#121	C₂³×C₃	1	3	yes	—
855	#121	C₂³×C₃	1	3	yes	—
856	#121	C₂³×C₃	1	6	yes	—
857	#121	C₂³×C₃	1	3	yes	—
858	#121	C₂³×C₃	1	1	yes	characteristic
859	#121	C₂³×C₃	1	3	yes	—
860	#121	C₂³×C₃	1	6	yes	—
861	#121	C₂³×C₃	1	6	yes	—
862	#121	C₂³×C₃	1	6	yes	—
863	#121	C₂³×C₃	1	6	yes	—
864	#121	C₂³×C₃	1	12	yes	—
865	#121	C₂³×C₃	1	12	yes	—
866	#121	C₂³×C₃	1	12	yes	—
867	#120	C₂³×C₃	1	6	yes	—
868	#120	C₂³×C₃	1	2	yes	—
869	#120	C₂³×C₃	1	6	yes	—
870	#120	C₂³×C₃	1	12	yes	—
871	#120	C₂³×C₃	1	6	yes	—
872	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
873	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
874	C₄×Q₈	C₂³×C₃	1	2	yes	—
875	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
876	C₄×Q₈	C₂³×C₃	1	3	yes	—
877	C₄×Q₈	C₂³×C₃	1	3	yes	—
878	C₄×Q₈	C₂³×C₃	1	6	yes	—
879	C₄×Q₈	C₂³×C₃	1	3	yes	—
880	C₄×Q₈	C₂³×C₃	1	6	yes	—
881	C₄×Q₈	C₂³×C₃	1	3	yes	—
882	C₄×Q₈	C₂³×C₃	1	3	yes	—
883	C₄×Q₈	C₂³×C₃	1	3	yes	—
884	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
885	C₄×Q₈	C₂³×C₃	1	3	yes	—
886	C₄×Q₈	C₂³×C₃	1	3	yes	—
887	C₄×Q₈	C₂³×C₃	1	6	yes	—
888	C₄×Q₈	C₂³×C₃	1	6	yes	—
889	C₄×Q₈	C₂³×C₃	1	6	yes	—
890	C₄×Q₈	C₂³×C₃	1	6	yes	—
891	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
892	C₄×D₄	C₂³×C₃	1	3	yes	—
893	C₄×D₄	C₂³×C₃	1	3	yes	—
894	C₄×D₄	C₂³×C₃	1	6	yes	—
895	C₄×D₄	C₂³×C₃	1	6	yes	—
896	C₄×D₄	C₂³×C₃	1	6	yes	—
897	C₄×D₄	C₂³×C₃	1	3	yes	—
898	C₄×D₄	C₂³×C₃	1	3	yes	—
899	C₄×D₄	C₂³×C₃	1	3	yes	—
900	C₄×D₄	C₂³×C₃	1	6	yes	—
901	C₄×D₄	C₂³×C₃	1	3	yes	—
902	C₄×D₄	C₂³×C₃	1	3	yes	—
903	C₄×D₄	C₂³×C₃	1	6	yes	—
904	C₄×D₄	C₂³×C₃	1	6	yes	—
905	C₄×D₄	C₂³×C₃	1	6	yes	—
906	C₄×D₄	C₂³×C₃	1	6	yes	—
907	C₄×D₄	C₂³×C₃	1	6	yes	—
908	C₄×D₄	C₂³×C₃	1	6	yes	—
909	C₄×D₄	C₂³×C₃	1	6	yes	—
910	C₄×D₄	C₂³×C₃	1	3	yes	—
911	C₄×D₄	C₂³×C₃	1	6	yes	—
912	C₄×D₄	C₂³×C₃	1	6	yes	—
913	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
914	C₄×D₄	C₂³×C₃	1	3	yes	—
915	C₄×D₄	C₂³×C₃	1	3	yes	—
916	C₄×D₄	C₂³×C₃	1	3	yes	—
917	C₄×D₄	C₂³×C₃	1	3	yes	—
918	C₄×D₄	C₂³×C₃	1	3	yes	—
919	C₄×D₄	C₂³×C₃	1	3	yes	—
920	C₄×D₄	C₂³×C₃	1	12	yes	—
921	C₄×D₄	C₂³×C₃	1	12	yes	—
922	C₄×D₄	C₂³×C₃	1	6	yes	—
923	C₄×D₄	C₂³×C₃	1	6	yes	—
924	C₄×D₄	C₂³×C₃	1	6	yes	—
925	C₄×D₄	C₂³×C₃	1	12	yes	—
926	C₄×D₄	C₂³×C₃	1	6	yes	—
927	C₄×D₄	C₂³×C₃	1	6	yes	—
928	C₄×D₄	C₂³×C₃	1	6	yes	—
929	#117	C₂³×C₃	1	6	yes	—
930	#117	C₂³×C₃	1	3	yes	—
931	#117	C₂³×C₃	1	3	yes	—
932	#117	C₂³×C₃	1	3	yes	—
933	#117	C₂³×C₃	1	3	yes	—
934	#117	C₂³×C₃	1	3	yes	—
935	#117	C₂³×C₃	1	6	yes	—
936	#117	C₂³×C₃	1	6	yes	—
937	#117	C₂³×C₃	1	6	yes	—
938	#117	C₂³×C₃	1	6	yes	—
939	#117	C₂³×C₃	1	6	yes	—
940	#117	C₂³×C₃	1	12	yes	—
941	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
942	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
943	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
944	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
945	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
946	C₂×C₄⋊C₄	C₂³×C₃	1	3	yes	—
947	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
948	C₂×C₄⋊C₄	C₂³×C₃	1	6	yes	—
949	C₂×C₄⋊C₄	C₂³×C₃	1	12	yes	—
950	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
951	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
952	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
953	C₂×C₂²⋊C₄	C₂³×C₃	1	6	yes	—
954	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
955	C₂×C₂²⋊C₄	C₂³×C₃	1	12	yes	—
956	C₂×C₄²	C₂³×C₃	1	3	yes	—
957	C₂×C₄²	C₂³×C₃	1	3	yes	—
958	C₂×C₄²	C₂³×C₃	1	6	yes	—
959	C₂×C₄²	C₂³×C₃	1	3	yes	—
960	C₂³×C₃	—	2	4	no	—
961	C₂³×C₃	—	2	4	no	—
962	C₂³×C₃	—	2	12	no	—
963	C₂³×C₃	—	4	2	no	—
964	C₂³×C₃	—	4	6	no	—
965	C₂³×C₃	—	4	6	no	—
966	C₂³×C₃	C₂⁵	1	3	yes	—
967	C₂³×C₃	C₂⁵	1	2	yes	—
968	C₂³×C₃	C₂⁵	1	6	yes	—
969	C₂³×C₃	C₂⁵	1	1	yes	characteristic
970	C₂³×C₃	C₂⁵	1	2	yes	—
971	C₂³×C₃	C₂⁵	1	1	yes	characteristic
972	C₃×Q₈	—	2	6	no	—
973	C₃×Q₈	—	2	12	no	—
974	C₃×Q₈	—	2	12	no	—
975	C₃×Q₈	—	2	6	no	—
976	C₃×Q₈	—	2	2	no	—
977	C₃×Q₈	—	4	12	no	—
978	C₃×Q₈	—	4	6	no	—
979	C₃×Q₈	—	4	3	no	—
980	C₃×Q₈	—	4	6	no	—
981	C₃×Q₈	H(5,𝔽₂)	1	4	yes	—
982	C₃×D₄	—	2	4	no	—
983	C₃×D₄	—	2	12	no	—
984	C₃×D₄	—	2	4	no	—
985	C₃×D₄	—	2	6	no	—
986	C₃×D₄	—	2	12	no	—
987	C₃×D₄	—	2	2	no	—
988	C₃×D₄	—	2	6	no	—
989	C₃×D₄	—	2	12	no	—
990	C₃×D₄	—	2	2	no	—
991	C₃×D₄	—	2	6	no	—
992	C₃×D₄	—	4	6	no	—
993	C₃×D₄	—	4	6	no	—
994	C₃×D₄	—	4	12	no	—
995	C₃×D₄	—	4	3	no	—
996	C₃×D₄	—	4	6	no	—
997	C₃×D₄	—	4	2	no	—
998	C₃×D₄	—	4	6	no	—
999	C₃×D₄	—	4	6	no	—
1000	C₃×D₄	2₋¹⁺⁴	1	4	yes	complemented
1001	C₂×C₃×C₄	—	2	4	no	—
1002	C₂×C₃×C₄	—	2	6	no	—
1003	C₂×C₃×C₄	—	2	12	no	—
1004	C₂×C₃×C₄	—	2	6	no	—
1005	C₂×C₃×C₄	—	2	6	no	—
1006	C₂×C₃×C₄	—	2	12	no	—
1007	C₂×C₃×C₄	—	2	12	no	—
1008	C₂×C₃×C₄	—	2	6	no	—
1009	C₂×C₃×C₄	—	2	2	no	—
1010	C₂×C₃×C₄	—	2	6	no	—
1011	C₂×C₃×C₄	—	2	2	no	—
1012	C₂×C₃×C₄	—	4	2	no	—
1013	C₂×C₃×C₄	—	4	6	no	—
1014	C₂×C₃×C₄	—	4	6	no	—
1015	C₂×C₃×C₄	—	4	6	no	—
1016	C₂×C₃×C₄	—	4	6	no	—
1017	C₂×C₃×C₄	—	4	6	no	—
1018	C₂×C₃×C₄	—	4	6	no	—
1019	C₂×C₃×C₄	—	4	12	no	—
1020	C₂×C₃×C₄	—	4	12	no	—
1021	C₂×C₃×C₄	—	4	3	no	—
1022	C₂×C₃×C₄	—	4	3	no	—
1023	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1024	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1025	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1026	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1027	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1028	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1029	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1030	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1031	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1032	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1033	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1034	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1035	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1036	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1037	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1038	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1039	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1040	C₂⁴	C₂⁴×C₃	1	2	yes	—
1041	C₂⁴	C₂⁴×C₃	1	6	yes	—
1042	#41	—	2	4	no	—
1043	#41	—	2	8	no	—
1044	#41	—	2	4	no	—
1045	#41	—	4	12	no	—
1046	#41	—	4	6	no	—
1047	#41	—	4	12	no	—
1048	#41	—	4	12	no	—
1049	#41	—	4	12	no	—
1050	#41	—	4	12	no	—
1051	#41	—	4	12	no	—
1052	C₂×Q₈	—	2	4	no	—
1053	C₂×Q₈	—	2	8	no	—
1054	C₂×Q₈	—	2	8	no	—
1055	C₂×Q₈	—	2	4	no	—
1056	C₂×Q₈	—	4	12	no	—
1057	C₂×Q₈	—	4	12	no	—
1058	C₂×Q₈	—	4	12	no	—
1059	C₂×Q₈	—	4	12	no	—
1060	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1061	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1062	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1063	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1064	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1065	C₂×Q₈	C₂⁴×C₃	1	3	yes	—
1066	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1067	C₂×Q₈	C₂⁴×C₃	1	6	yes	—
1068	C₂×Q₈	C₂⁴×C₃	1	12	yes	—
1069	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1070	C₂×D₄	—	2	4	no	—
1071	C₂×D₄	—	2	12	no	—
1072	C₂×D₄	—	4	12	no	—
1073	C₂×D₄	—	4	12	no	—
1074	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1075	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1076	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1077	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1078	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1079	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1080	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1081	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1082	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1083	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1084	C₂×D₄	C₂⁴×C₃	1	3	yes	—
1085	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1086	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1087	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1088	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1089	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1090	C₂×D₄	C₂⁴×C₃	1	6	yes	—
1091	C₂×D₄	C₂⁴×C₃	1	12	yes	—
1092	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1093	C₂²×C₄	—	4	12	no	—
1094	C₂²×C₄	—	4	12	no	—
1095	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1096	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1099	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1100	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1101	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1102	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1103	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1104	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1105	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1106	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1107	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1108	C₂²×C₄	C₂⁴×C₃	1	3	yes	—
1109	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1110	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1111	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1112	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
1113	C₂²×C₄	C₂⁴×C₃	1	12	yes	—
1114	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1115	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1116	C₂²×C₄	C₂⁴×C₃	1	6	yes	—
1117	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1118	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1119	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1120	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1121	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1122	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1123	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1124	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1125	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1126	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1127	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1128	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1129	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1130	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1131	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1132	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1133	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1134	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1135	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1136	C₄⋊C₄	C₂⁴×C₃	1	12	yes	—
1137	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1138	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1139	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1140	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1141	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1142	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1143	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1144	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1145	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1146	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1147	C₄⋊C₄	C₂⁴×C₃	1	3	yes	—
1148	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1149	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1150	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1151	C₄⋊C₄	C₂⁴×C₃	1	6	yes	—
1152	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1153	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1154	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1156	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1157	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1158	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1159	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1160	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1161	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1162	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1163	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1164	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1165	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1166	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1167	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1168	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1169	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1170	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1171	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1172	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1173	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1174	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1175	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1176	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1177	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1178	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1179	C₂²⋊C₄	C₂⁴×C₃	1	12	yes	—
1180	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1181	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1182	C₂²⋊C₄	C₂⁴×C₃	1	6	yes	—
1183	C₂²⋊C₄	C₂⁴×C₃	1	3	yes	—
1184	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1185	C₄²	C₂⁴×C₃	1	3	yes	—
1186	C₄²	C₂⁴×C₃	1	3	yes	—
1187	C₄²	C₂⁴×C₃	1	3	yes	—
1188	C₄²	C₂⁴×C₃	1	6	yes	—
1189	C₄²	C₂⁴×C₃	1	3	yes	—
1190	C₄²	C₂⁴×C₃	1	3	yes	—
1191	C₄²	C₂⁴×C₃	1	3	yes	—
1192	C₄²	C₂⁴×C₃	1	6	yes	—
1193	C₄²	C₂⁴×C₃	1	3	yes	—
1194	C₄²	C₂⁴×C₃	1	3	yes	—
1195	C₄²	C₂⁴×C₃	1	3	yes	—
1196	C₄²	C₂⁴×C₃	1	6	yes	—
1197	C₄²	C₂⁴×C₃	1	12	yes	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	2	no	—
1200	C₂²×C₃	—	2	1	no	—
1201	C₂²×C₃	—	2	2	no	—
1202	C₂²×C₃	—	2	2	no	—
1203	C₂²×C₃	—	2	1	no	—
1204	C₂²×C₃	—	2	6	no	—
1205	C₂²×C₃	—	2	3	no	—
1206	C₂²×C₃	—	2	1	no	—
1207	C₂²×C₃	—	2	3	no	—
1208	C₂²×C₃	—	2	2	no	—
1209	C₂²×C₃	—	2	6	no	—
1210	C₂²×C₃	—	2	1	no	—
1211	C₂²×C₃	—	2	6	no	—
1212	C₂²×C₃	—	2	3	no	—
1213	C₂²×C₃	—	2	2	no	—
1214	C₂²×C₃	—	4	8	no	—
1215	C₂²×C₃	—	8	12	no	—
1216	C₂²×C₃	C₂×2₋¹⁺⁴	1	4	yes	—
1217	C₂²×C₃	#585	1	2	yes	—
1218	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1219	C₃×C₄	—	2	1	no	—
1220	C₃×C₄	—	2	2	no	—
1221	C₃×C₄	—	2	6	no	—
1222	C₃×C₄	—	2	3	no	—
1223	C₃×C₄	—	2	6	no	—
1224	C₃×C₄	—	2	3	no	—
1225	C₃×C₄	—	2	1	no	—
1226	C₃×C₄	—	2	1	no	—
1227	C₃×C₄	—	2	3	no	—
1228	C₃×C₄	—	2	2	no	—
1229	C₃×C₄	—	2	3	no	—
1230	C₃×C₄	—	2	3	no	—
1231	C₃×C₄	—	2	3	no	—
1232	C₃×C₄	—	2	6	no	—
1233	C₃×C₄	—	2	1	no	—
1234	C₃×C₄	C₂×H(5,𝔽₂)	1	6	yes	—
1235	C₃×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1236	C₂³	—	2	4	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	12	no	—
1239	C₂³	—	4	2	no	—
1240	C₂³	—	4	6	no	—
1241	C₂³	—	4	6	no	—
1242	C₂³	C₂⁵×C₃	1	3	yes	—
1243	C₂³	C₂⁵×C₃	1	2	yes	—
1244	C₂³	C₂⁵×C₃	1	6	yes	—
1245	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1246	C₂³	C₂⁵×C₃	1	2	yes	—
1247	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1248	Q₈	—	2	6	no	—
1249	Q₈	—	2	12	no	—
1250	Q₈	—	2	12	no	—
1251	Q₈	—	2	6	no	—
1252	Q₈	—	2	2	no	—
1253	Q₈	—	4	12	no	—
1254	Q₈	—	4	6	no	—
1255	Q₈	—	4	3	no	—
1256	Q₈	—	4	6	no	—
1257	Q₈	C₃×H(5,𝔽₂)	1	4	yes	—
1258	D₄	—	2	4	no	—
1259	D₄	—	2	12	no	—
1260	D₄	—	2	4	no	—
1261	D₄	—	2	6	no	—
1262	D₄	—	2	12	no	—
1263	D₄	—	2	2	no	—
1264	D₄	—	2	6	no	—
1265	D₄	—	2	12	no	—
1266	D₄	—	2	2	no	—
1267	D₄	—	2	6	no	—
1268	D₄	—	4	12	no	—
1269	D₄	—	4	6	no	—
1270	D₄	—	4	6	no	—
1271	D₄	—	4	2	no	—
1272	D₄	—	4	6	no	—
1273	D₄	—	4	6	no	—
1274	D₄	—	4	3	no	—
1275	D₄	—	4	6	no	—
1276	D₄	C₃×2₋¹⁺⁴	1	4	yes	complemented
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	6	no	—
1279	C₂×C₄	—	2	12	no	—
1280	C₂×C₄	—	2	6	no	—
1281	C₂×C₄	—	2	6	no	—
1282	C₂×C₄	—	2	12	no	—
1283	C₂×C₄	—	2	12	no	—
1284	C₂×C₄	—	2	6	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	6	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	4	2	no	—
1289	C₂×C₄	—	4	6	no	—
1290	C₂×C₄	—	4	6	no	—
1291	C₂×C₄	—	4	6	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	—	4	6	no	—
1295	C₂×C₄	—	4	12	no	—
1296	C₂×C₄	—	4	12	no	—
1297	C₂×C₄	—	4	3	no	—
1298	C₂×C₄	—	4	3	no	—
1299	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1300	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1301	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1302	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1303	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1305	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1306	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1307	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1308	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1309	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1310	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1311	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1312	C₂×C₄	C₂⁵×C₃	1	6	yes	—
1313	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1314	C₂×C₄	C₂⁵×C₃	1	3	yes	—
1315	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1316	C₂×C₃	—	2	2	no	—
1317	C₂×C₃	—	2	4	no	—
1318	C₂×C₃	—	4	1	no	—
1319	C₂×C₃	—	4	2	no	—
1320	C₂×C₃	—	4	6	no	—
1321	C₂×C₃	—	4	3	no	—
1322	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1323	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1324	C₂×C₃	C₂×#585	1	1	yes	characteristic
1325	C₂²	—	2	1	no	—
1326	C₂²	—	2	2	no	—
1327	C₂²	—	2	1	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	1	no	—
1331	C₂²	—	2	6	no	—
1332	C₂²	—	2	3	no	—
1333	C₂²	—	2	1	no	—
1334	C₂²	—	2	3	no	—
1335	C₂²	—	2	2	no	—
1336	C₂²	—	2	6	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	6	no	—
1339	C₂²	—	2	3	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	4	8	no	—
1342	C₂²	—	8	12	no	—
1343	C₂²	C₂×C₃×2₋¹⁺⁴	1	4	yes	—
1344	C₂²	C₃×#585	1	2	yes	—
1345	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1346	C₄	—	2	1	no	—
1347	C₄	—	2	2	no	—
1348	C₄	—	2	6	no	—
1349	C₄	—	2	3	no	—
1350	C₄	—	2	6	no	—
1351	C₄	—	2	3	no	—
1352	C₄	—	2	1	no	—
1353	C₄	—	2	1	no	—
1354	C₄	—	2	3	no	—
1355	C₄	—	2	2	no	—
1356	C₄	—	2	3	no	—
1357	C₄	—	2	3	no	—
1358	C₄	—	2	3	no	—
1359	C₄	—	2	6	no	—
1360	C₄	—	2	1	no	—
1361	C₄	C₂×C₃×H(5,𝔽₂)	1	6	yes	—
1362	C₄	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1363	C₃	#63015	1	1	yes	characteristic, direct product factor, Sylow
1364	C₂	—	2	2	no	—
1365	C₂	—	2	4	no	—
1366	C₂	—	4	2	no	—
1367	C₂	—	4	3	no	—
1368	C₂	—	4	6	no	—
1369	C₂	—	4	1	no	—
1370	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1371	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1372	C₂	C₂×C₃×#585	1	1	yes	characteristic

	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×#3561	C₂	semidirect
2. C₃×#3554	C₂	semidirect
3. C₃×#3552	C₂	semidirect
4. C₃×#3547	C₂	semidirect
5. C₃×#3541	C₂	semidirect
6. C₃×#3536	C₂	semidirect
7. C₃×#3522	C₂	semidirect
8. C₃×#3520	C₂	semidirect
9. C₃×#3519	C₂	semidirect
10. C₃×#3518	C₂	semidirect
11. C₃×#3516	C₂	semidirect
12. C₃×#3514	C₂	semidirect
13. C₃×#3511	C₂	semidirect
14. C₃×#3501	C₂	semidirect
15. C₃×#3497	C₂	semidirect
16. C₃×#3489	C₂	semidirect
17. C₃×#3486	C₂	semidirect
18. C₃×#3482	C₂	semidirect
19. C₃×#3481	C₂	semidirect
20. C₃×Q₈×#41	C₂	semidirect
21. C₃×D₄×#41	C₂	semidirect
22. C₂×C₃×D₄×Q₈	C₂	semidirect
23. C₂×C₃×#548	C₂	semidirect
24. #63015	C₃	direct (N × H)
25. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
26. C₂²×C₃×#41	C₂²	semidirect
27. C₂³×C₃×Q₈	C₂²	semidirect
28. C₃×#563	C₂²	semidirect
29. C₃×#562	C₂²	semidirect
30. C₃×#562	C₂²	semidirect
31. C₃×#559	C₂²	semidirect
32. C₃×#559	C₂²	semidirect
33. C₃×Q₈²	C₂²	semidirect
34. C₃×#557	C₂²	semidirect
35. C₃×#557	C₂²	semidirect
36. C₃×#556	C₂²	semidirect
37. C₃×#556	C₂²	semidirect
38. C₃×#556	C₂²	semidirect
39. C₃×#556	C₂²	semidirect
40. C₃×#555	C₂²	semidirect
41. C₃×#555	C₂²	semidirect
44. C₃×#554	C₂²	semidirect
45. C₃×#554	C₂²	semidirect
46. C₃×#554	C₂²	semidirect
47. C₃×#554	C₂²	semidirect
48. C₃×#554	C₂²	semidirect
49. C₃×#554	C₂²	semidirect
50. C₃×#553	C₂²	semidirect
51. C₃×#553	C₂²	semidirect
52. C₃×#553	C₂²	semidirect
53. C₃×#553	C₂²	semidirect
54. C₃×#553	C₂²	semidirect
55. C₃×#552	C₂²	semidirect
56. C₃×#552	C₂²	semidirect
57. C₃×#552	C₂²	semidirect
58. C₃×#551	C₂²	semidirect
59. C₃×#551	C₂²	semidirect
60. C₃×#551	C₂²	semidirect
61. C₃×#550	C₂²	semidirect
62. C₃×#550	C₂²	semidirect
65. C₃×D₄×Q₈	C₂²	semidirect
66. C₃×D₄×Q₈	C₂²	semidirect
67. C₃×D₄×Q₈	C₂²	semidirect
68. C₃×D₄×Q₈	C₂²	semidirect
69. C₃×D₄×Q₈	C₂²	semidirect
70. C₃×D₄×Q₈	C₂²	semidirect
71. C₃×D₄×Q₈	C₂²	semidirect
72. C₃×D₄×Q₈	C₂²	semidirect
73. C₃×D₄×Q₈	C₂²	semidirect
75. C₃×#548	C₂²	semidirect
76. C₃×#548	C₂²	semidirect
77. C₃×#548	C₂²	semidirect
78. C₃×#548	C₂²	semidirect
79. C₃×#548	C₂²	semidirect
80. C₃×#548	C₂²	semidirect
81. C₃×#548	C₂²	semidirect
82. C₃×#548	C₂²	semidirect
83. C₃×#548	C₂²	semidirect
84. C₃×#548	C₂²	semidirect
85. C₃×#548	C₂²	semidirect
86. C₃×#548	C₂²	semidirect
87. C₃×#547	C₂²	semidirect
88. C₃×#547	C₂²	semidirect
89. C₃×#547	C₂²	semidirect
90. C₃×#547	C₂²	semidirect
91. C₃×#547	C₂²	semidirect
94. C₃×#546	C₂²	semidirect
95. C₃×#546	C₂²	semidirect
96. C₃×#546	C₂²	semidirect
97. C₃×#546	C₂²	semidirect
98. C₃×#546	C₂²	semidirect
101. C₃×#544	C₂²	semidirect
102. C₃×#543	C₂²	semidirect
103. C₃×#542	C₂²	semidirect
104. C₃×#542	C₂²	semidirect
105. C₃×#542	C₂²	semidirect
106. C₃×#542	C₂²	semidirect
107. C₃×#542	C₂²	semidirect
108. C₃×#542	C₂²	semidirect
109. C₃×#542	C₂²	semidirect
110. C₃×#541	C₂²	semidirect
111. C₃×#540	C₂²	semidirect
112. C₃×#539	C₂²	semidirect
113. C₃×#539	C₂²	semidirect
114. C₃×#538	C₂²	semidirect
115. C₃×#538	C₂²	semidirect
116. C₃×#537	C₂²	semidirect
117. C₃×#537	C₂²	semidirect
118. C₃×#537	C₂²	semidirect
119. C₃×#536	C₂²	semidirect
120. C₃×#536	C₂²	semidirect
121. C₃×#536	C₂²	semidirect
122. C₃×#533	C₂²	semidirect
123. C₃×#533	C₂²	semidirect
124. C₃×#533	C₂²	semidirect
125. C₃×#533	C₂²	semidirect
126. C₃×#532	C₂²	semidirect
127. C₃×#532	C₂²	semidirect
128. C₃×#532	C₂²	semidirect
129. C₃×#532	C₂²	semidirect
130. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
131. C₃×#529	C₂²	semidirect
132. C₃×#529	C₂²	semidirect
133. C₃×#529	C₂²	semidirect
134. C₃×#529	C₂²	semidirect
135. C₃×#529	C₂²	semidirect
136. C₃×#529	C₂²	semidirect
137. C₂×C₃×#124	C₂²	semidirect
138. C₃×#525	C₂²	semidirect
139. C₃×#525	C₂²	semidirect
140. C₃×#525	C₂²	semidirect
141. C₃×#525	C₂²	semidirect
142. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
143. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
145. C₂×C₃×#121	C₂²	semidirect
146. C₃×#520	C₂²	semidirect
147. C₃×#520	C₂²	semidirect
148. C₃×#519	C₂²	semidirect
151. C₃×C₄×#41	C₂²	semidirect
152. C₃×C₄×#41	C₂²	semidirect
153. C₂×C₃×C₄×Q₈	C₂²	semidirect
154. C₂×C₃×C₄×Q₈	C₂²	semidirect
155. C₂×C₃×C₄×Q₈	C₂²	semidirect
158. C₂×C₃×C₄×D₄	C₂²	semidirect
159. #3561	C₂×C₃	semidirect
160. #3554	C₂×C₃	semidirect
161. #3552	C₂×C₃	semidirect
162. #3547	C₂×C₃	semidirect
163. #3541	C₂×C₃	semidirect
164. #3536	C₂×C₃	semidirect
165. #3522	C₂×C₃	semidirect
166. #3520	C₂×C₃	semidirect
167. #3519	C₂×C₃	semidirect
168. #3518	C₂×C₃	semidirect
169. #3516	C₂×C₃	semidirect
170. #3514	C₂×C₃	semidirect
171. #3511	C₂×C₃	semidirect
172. #3501	C₂×C₃	semidirect
173. #3497	C₂×C₃	semidirect
174. #3489	C₂×C₃	semidirect
175. #3486	C₂×C₃	semidirect
176. #3482	C₂×C₃	semidirect
177. #3481	C₂×C₃	semidirect
178. Q₈×#41	C₂×C₃	semidirect
179. D₄×#41	C₂×C₃	semidirect
180. C₂×D₄×Q₈	C₂×C₃	semidirect
181. C₂×#548	C₂×C₃	semidirect
425. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
426. C₂²×#41	C₂²×C₃	semidirect
427. C₂³×Q₈	C₂²×C₃	semidirect
428. #563	C₂²×C₃	semidirect
429. #562	C₂²×C₃	semidirect
430. #562	C₂²×C₃	semidirect
431. #559	C₂²×C₃	semidirect
432. #559	C₂²×C₃	semidirect
433. Q₈²	C₂²×C₃	semidirect
434. #557	C₂²×C₃	semidirect
435. #557	C₂²×C₃	semidirect
436. #556	C₂²×C₃	semidirect
437. #556	C₂²×C₃	semidirect
438. #556	C₂²×C₃	semidirect
439. #556	C₂²×C₃	semidirect
440. #555	C₂²×C₃	semidirect
441. #555	C₂²×C₃	semidirect
444. #554	C₂²×C₃	semidirect
445. #554	C₂²×C₃	semidirect
446. #554	C₂²×C₃	semidirect
447. #554	C₂²×C₃	semidirect
448. #554	C₂²×C₃	semidirect
449. #554	C₂²×C₃	semidirect
450. #553	C₂²×C₃	semidirect
451. #553	C₂²×C₃	semidirect
452. #553	C₂²×C₃	semidirect
453. #553	C₂²×C₃	semidirect
454. #553	C₂²×C₃	semidirect
455. #552	C₂²×C₃	semidirect
456. #552	C₂²×C₃	semidirect
457. #552	C₂²×C₃	semidirect
458. #551	C₂²×C₃	semidirect
459. #551	C₂²×C₃	semidirect
460. #551	C₂²×C₃	semidirect
461. #550	C₂²×C₃	semidirect
462. #550	C₂²×C₃	semidirect
465. D₄×Q₈	C₂²×C₃	semidirect
466. D₄×Q₈	C₂²×C₃	semidirect
467. D₄×Q₈	C₂²×C₃	semidirect
468. D₄×Q₈	C₂²×C₃	semidirect
469. D₄×Q₈	C₂²×C₃	semidirect
470. D₄×Q₈	C₂²×C₃	semidirect
471. D₄×Q₈	C₂²×C₃	semidirect
472. D₄×Q₈	C₂²×C₃	semidirect
473. D₄×Q₈	C₂²×C₃	semidirect
475. #548	C₂²×C₃	semidirect
476. #548	C₂²×C₃	semidirect
477. #548	C₂²×C₃	semidirect
478. #548	C₂²×C₃	semidirect
479. #548	C₂²×C₃	semidirect
480. #548	C₂²×C₃	semidirect
481. #548	C₂²×C₃	semidirect
482. #548	C₂²×C₃	semidirect
483. #548	C₂²×C₃	semidirect
484. #548	C₂²×C₃	semidirect
485. #548	C₂²×C₃	semidirect
486. #548	C₂²×C₃	semidirect
487. #547	C₂²×C₃	semidirect
488. #547	C₂²×C₃	semidirect
489. #547	C₂²×C₃	semidirect
490. #547	C₂²×C₃	semidirect
491. #547	C₂²×C₃	semidirect
494. #546	C₂²×C₃	semidirect
495. #546	C₂²×C₃	semidirect
496. #546	C₂²×C₃	semidirect
497. #546	C₂²×C₃	semidirect
498. #546	C₂²×C₃	semidirect
501. #544	C₂²×C₃	semidirect
502. #543	C₂²×C₃	semidirect
503. #542	C₂²×C₃	semidirect
504. #542	C₂²×C₃	semidirect
505. #542	C₂²×C₃	semidirect
506. #542	C₂²×C₃	semidirect
507. #542	C₂²×C₃	semidirect
508. #542	C₂²×C₃	semidirect
509. #542	C₂²×C₃	semidirect
510. #541	C₂²×C₃	semidirect
511. #540	C₂²×C₃	semidirect
512. #539	C₂²×C₃	semidirect
513. #539	C₂²×C₃	semidirect
514. #538	C₂²×C₃	semidirect
515. #538	C₂²×C₃	semidirect
516. #537	C₂²×C₃	semidirect
517. #537	C₂²×C₃	semidirect
518. #537	C₂²×C₃	semidirect
519. #536	C₂²×C₃	semidirect
520. #536	C₂²×C₃	semidirect
521. #536	C₂²×C₃	semidirect
522. #533	C₂²×C₃	semidirect
523. #533	C₂²×C₃	semidirect
524. #533	C₂²×C₃	semidirect
525. #533	C₂²×C₃	semidirect
526. #532	C₂²×C₃	semidirect
527. #532	C₂²×C₃	semidirect
528. #532	C₂²×C₃	semidirect
529. #532	C₂²×C₃	semidirect
530. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
531. #529	C₂²×C₃	semidirect
532. #529	C₂²×C₃	semidirect
533. #529	C₂²×C₃	semidirect
534. #529	C₂²×C₃	semidirect
535. #529	C₂²×C₃	semidirect
536. #529	C₂²×C₃	semidirect
537. C₂×#124	C₂²×C₃	semidirect
538. #525	C₂²×C₃	semidirect
539. #525	C₂²×C₃	semidirect
540. #525	C₂²×C₃	semidirect
541. #525	C₂²×C₃	semidirect
542. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
543. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
544. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
545. C₂×#121	C₂²×C₃	semidirect
546. #520	C₂²×C₃	semidirect
547. #520	C₂²×C₃	semidirect
548. #519	C₂²×C₃	semidirect
551. C₄×#41	C₂²×C₃	semidirect
552. C₄×#41	C₂²×C₃	semidirect
553. C₂×C₄×Q₈	C₂²×C₃	semidirect
554. C₂×C₄×Q₈	C₂²×C₃	semidirect
555. C₂×C₄×Q₈	C₂²×C₃	semidirect
558. C₂×C₄×D₄	C₂²×C₃	semidirect
1000. C₃×D₄	2₋¹⁺⁴	semidirect
1276. D₄	C₃×2₋¹⁺⁴	semidirect
1363. C₃	#63015	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×#3561	2
C₃×#3554	2
C₃×#3552	2
C₃×#3547	2
C₃×#3541	2
C₃×#3536	2
C₃×#3522	2
C₃×#3520	2
C₃×#3519	2
C₃×#3518	2
C₃×#3516	2
C₃×#3514	2
C₃×#3511	2
C₃×#3501	2
C₃×#3497	2
C₃×#3489	2
C₃×#3486	2
C₃×#3482	2
C₃×#3481	2
C₃×Q₈×#41	2
C₃×D₄×#41	2
C₂×C₃×D₄×Q₈	2
C₂×C₃×#548	2
#63015	3

Subgroups — C3×#63015 #10681622

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63015 #10681622