Subgroups — C₃×#62830 #10681437

Order 768.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3562	C₂	1	4	yes	maximal, complemented
2	C₃×#3560	C₂	1	4	yes	maximal, complemented
3	C₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₃×#3551	C₂	1	4	yes	maximal, complemented
5	C₃×#3547	C₂	1	2	yes	maximal, complemented
6	C₃×#3546	C₂	1	2	yes	maximal, complemented
7	C₃×#3543	C₂	1	2	yes	maximal, complemented
8	C₃×#3534	C₂	1	4	yes	maximal, complemented
9	C₃×#3520	C₂	1	2	yes	maximal, complemented
10	C₃×#3519	C₂	1	4	yes	maximal, complemented
11	C₃×#3519	C₂	1	2	yes	maximal, complemented
12	C₃×#3517	C₂	1	2	yes	maximal, complemented
13	C₃×#3514	C₂	1	4	yes	maximal, complemented
14	C₃×#3514	C₂	1	2	yes	maximal, complemented
15	C₃×#3512	C₂	1	2	yes	maximal, complemented
16	C₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3505	C₂	1	4	yes	maximal, complemented
19	C₃×#3500	C₂	1	2	yes	maximal, complemented
20	C₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3494	C₂	1	4	yes	maximal, complemented
23	C₃×#3489	C₂	1	2	yes	maximal, complemented
24	C₃×#3488	C₂	1	2	yes	maximal, complemented
25	C₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	#62830	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
29	C₂×C₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
30	C₂×C₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
31	C₂²×C₃×#41	C₂²	1	2	yes	complemented
32	C₃×#563	C₂²	1	8	yes	complemented
33	C₃×#562	C₂²	1	8	yes	complemented
34	C₃×#560	C₂²	1	8	yes	complemented
35	C₃×#560	C₂²	1	8	yes	complemented
36	C₃×#559	C₂²	1	4	yes	complemented
37	C₃×#559	C₂²	1	2	yes	complemented
38	C₃×#557	C₂²	1	2	yes	complemented
39	C₃×#556	C₂²	1	2	yes	complemented
40	C₃×#556	C₂²	1	4	yes	complemented
41	C₃×#556	C₂²	1	2	yes	complemented
42	C₃×#555	C₂²	1	8	yes	complemented
43	C₃×#555	C₂²	1	2	yes	complemented
44	C₃×#555	C₂²	1	4	yes	complemented
45	C₃×#554	C₂²	1	2	yes	complemented
46	C₃×#554	C₂²	1	4	yes	complemented
47	C₃×#553	C₂²	1	8	yes	complemented
48	C₃×#553	C₂²	1	8	yes	complemented
49	C₃×#553	C₂²	1	4	yes	complemented
50	C₃×#553	C₂²	1	4	yes	complemented
51	C₃×#553	C₂²	1	8	yes	complemented
52	C₃×#553	C₂²	1	4	yes	complemented
53	C₃×#553	C₂²	1	8	yes	complemented
54	C₃×#553	C₂²	1	4	yes	complemented
55	C₃×#553	C₂²	1	4	yes	complemented
56	C₃×#552	C₂²	1	4	yes	complemented
57	C₃×#552	C₂²	1	4	yes	complemented
58	C₃×#552	C₂²	1	4	yes	complemented
59	C₃×#551	C₂²	1	8	yes	complemented
60	C₃×#551	C₂²	1	8	yes	complemented
61	C₃×#551	C₂²	1	8	yes	complemented
62	C₃×#551	C₂²	1	8	yes	complemented
63	C₃×#550	C₂²	1	4	yes	complemented
64	C₃×#550	C₂²	1	2	yes	complemented
65	C₃×#550	C₂²	1	2	yes	complemented
66	C₃×#550	C₂²	1	2	yes	complemented
67	C₃×#550	C₂²	1	4	yes	complemented
68	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
69	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
70	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
71	C₃×#548	C₂²	1	4	yes	complemented
72	C₃×#548	C₂²	1	4	yes	complemented
73	C₃×#548	C₂²	1	4	yes	complemented
74	C₃×#548	C₂²	1	4	yes	complemented
75	C₃×#548	C₂²	1	4	yes	complemented
76	C₃×#548	C₂²	1	4	yes	complemented
77	C₃×#547	C₂²	1	8	yes	complemented
78	C₃×#547	C₂²	1	4	yes	complemented
79	C₃×#547	C₂²	1	2	yes	complemented
80	C₃×#547	C₂²	1	2	yes	complemented
81	C₃×#547	C₂²	1	2	yes	complemented
82	C₃×#546	C₂²	1	8	yes	complemented
83	C₃×#546	C₂²	1	4	yes	complemented
84	C₃×#546	C₂²	1	4	yes	complemented
85	C₃×#546	C₂²	1	8	yes	complemented
86	C₃×#546	C₂²	1	8	yes	complemented
87	C₃×#546	C₂²	1	4	yes	complemented
88	C₃×#546	C₂²	1	4	yes	complemented
89	C₃×#546	C₂²	1	4	yes	complemented
90	C₃×#546	C₂²	1	4	yes	complemented
91	C₃×#546	C₂²	1	8	yes	complemented
92	C₃×#546	C₂²	1	8	yes	complemented
93	C₃×#546	C₂²	1	4	yes	complemented
94	C₃×#546	C₂²	1	4	yes	complemented
95	C₃×D₄²	C₂²	1	4	yes	complemented
96	C₃×D₄²	C₂²	1	8	yes	complemented
97	C₃×D₄²	C₂²	1	2	yes	complemented
98	C₃×D₄²	C₂²	1	2	yes	complemented
99	C₃×D₄²	C₂²	1	4	yes	complemented
100	C₃×#544	C₂²	1	4	yes	complemented
101	C₃×#542	C₂²	1	4	yes	complemented
102	C₃×#542	C₂²	1	4	yes	complemented
103	C₃×#542	C₂²	1	8	yes	complemented
104	C₃×#541	C₂²	1	4	yes	complemented
105	C₃×#540	C₂²	1	4	yes	complemented
106	C₃×#540	C₂²	1	4	yes	complemented
107	C₃×#540	C₂²	1	4	yes	complemented
108	C₃×#540	C₂²	1	8	yes	complemented
109	C₃×#540	C₂²	1	8	yes	complemented
110	C₃×#539	C₂²	1	8	yes	complemented
111	C₃×#539	C₂²	1	4	yes	complemented
112	C₃×#539	C₂²	1	8	yes	complemented
113	C₃×#538	C₂²	1	8	yes	complemented
114	C₃×#538	C₂²	1	4	yes	complemented
115	C₃×#538	C₂²	1	8	yes	complemented
116	C₃×#538	C₂²	1	8	yes	complemented
117	C₃×#538	C₂²	1	8	yes	complemented
118	C₃×#538	C₂²	1	8	yes	complemented
119	C₃×#537	C₂²	1	2	yes	complemented
120	C₃×#537	C₂²	1	4	yes	complemented
121	C₃×#537	C₂²	1	2	yes	complemented
122	C₃×#537	C₂²	1	4	yes	complemented
123	C₃×#537	C₂²	1	4	yes	complemented
124	C₃×#536	C₂²	1	2	yes	complemented
125	C₃×#536	C₂²	1	4	yes	complemented
126	C₃×#536	C₂²	1	4	yes	complemented
127	C₃×#535	C₂²	1	2	yes	complemented
128	C₃×#535	C₂²	1	4	yes	complemented
129	C₃×#535	C₂²	1	4	yes	complemented
130	C₃×#535	C₂²	1	4	yes	complemented
131	C₃×#534	C₂²	1	4	yes	complemented
132	C₃×#534	C₂²	1	8	yes	complemented
133	C₃×#533	C₂²	1	1	yes	characteristic, complemented
134	C₃×#533	C₂²	1	1	yes	characteristic, complemented
135	C₃×#533	C₂²	1	1	yes	characteristic, complemented
136	C₃×#532	C₂²	1	1	yes	characteristic
137	C₃×#532	C₂²	1	2	yes	complemented
138	C₃×#532	C₂²	1	1	yes	characteristic, complemented
139	C₃×#532	C₂²	1	2	yes	complemented
140	C₃×#532	C₂²	1	1	yes	characteristic, complemented
141	C₃×#532	C₂²	1	1	yes	characteristic, complemented
142	C₃×#532	C₂²	1	2	yes	complemented
143	C₃×#532	C₂²	1	2	yes	complemented
144	C₃×#532	C₂²	1	2	yes	complemented
145	C₃×#532	C₂²	1	2	yes	complemented
146	C₃×#532	C₂²	1	1	yes	characteristic, complemented
147	C₃×#532	C₂²	1	1	yes	characteristic, complemented
148	C₃×#532	C₂²	1	1	yes	characteristic, complemented
149	C₃×#532	C₂²	1	4	yes	complemented
150	C₃×#532	C₂²	1	4	yes	complemented
151	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₃×#127	C₂²	1	1	yes	characteristic, complemented
153	C₃×#529	C₂²	1	2	yes	complemented
154	C₃×#529	C₂²	1	2	yes	complemented
155	C₃×#529	C₂²	1	2	yes	complemented
156	C₃×#529	C₂²	1	2	yes	complemented
157	C₃×#529	C₂²	1	2	yes	complemented
158	C₃×#529	C₂²	1	2	yes	complemented
159	C₃×#529	C₂²	1	2	yes	complemented
160	C₃×#529	C₂²	1	2	yes	complemented
161	C₃×#529	C₂²	1	2	yes	complemented
162	C₃×#529	C₂²	1	2	yes	complemented
163	C₃×#529	C₂²	1	2	yes	complemented
164	C₃×#529	C₂²	1	2	yes	complemented
165	C₃×#529	C₂²	1	2	yes	complemented
166	C₃×#529	C₂²	1	2	yes	complemented
167	C₃×#529	C₂²	1	4	yes	complemented
168	C₃×#529	C₂²	1	4	yes	complemented
169	C₃×#529	C₂²	1	4	yes	complemented
170	C₂×C₃×#126	C₂²	1	2	yes	complemented
171	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₃×#124	C₂²	1	2	yes	complemented
174	C₂×C₃×#124	C₂²	1	4	yes	complemented
175	C₃×#525	C₂²	1	2	yes	complemented
176	C₃×#525	C₂²	1	2	yes	complemented
177	C₃×#525	C₂²	1	2	yes	complemented
178	C₃×#525	C₂²	1	4	yes	complemented
179	C₃×#525	C₂²	1	4	yes	complemented
180	C₃×#525	C₂²	1	4	yes	complemented
181	C₂×C₃×#123	C₂²	1	2	yes	complemented
182	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
184	C₂×C₃×#121	C₂²	1	1	yes	characteristic
185	C₂×C₃×#121	C₂²	1	2	yes	complemented
186	C₂×C₃×#121	C₂²	1	2	yes	complemented
187	C₂×C₃×#121	C₂²	1	4	yes	complemented
188	C₂×C₃×#121	C₂²	1	4	yes	complemented
189	C₃×#520	C₂²	1	2	yes	complemented
190	C₃×#520	C₂²	1	2	yes	complemented
191	C₃×#520	C₂²	1	4	yes	complemented
192	C₃×#518	C₂²	1	4	yes	complemented
193	C₃×#518	C₂²	1	8	yes	complemented
194	C₃×C₄×#41	C₂²	1	2	yes	complemented
195	C₃×C₄×#41	C₂²	1	2	yes	complemented
196	C₃×C₄×#41	C₂²	1	2	yes	complemented
197	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
200	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
201	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
202	C₂×C₃×#117	C₂²	1	2	yes	complemented
203	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic, complemented
204	#3562	C₂×C₃	1	4	yes	complemented
205	#3560	C₂×C₃	1	4	yes	complemented
206	#3552	C₂×C₃	1	2	yes	complemented
207	#3551	C₂×C₃	1	4	yes	complemented
208	#3547	C₂×C₃	1	2	yes	complemented
209	#3546	C₂×C₃	1	2	yes	complemented
210	#3543	C₂×C₃	1	2	yes	complemented
211	#3534	C₂×C₃	1	4	yes	complemented
212	#3520	C₂×C₃	1	2	yes	complemented
213	#3519	C₂×C₃	1	4	yes	complemented
214	#3519	C₂×C₃	1	2	yes	complemented
215	#3517	C₂×C₃	1	2	yes	complemented
216	#3514	C₂×C₃	1	4	yes	complemented
217	#3514	C₂×C₃	1	2	yes	complemented
218	#3512	C₂×C₃	1	2	yes	complemented
219	#3507	C₂×C₃	1	1	yes	characteristic, complemented
220	#3506	C₂×C₃	1	1	yes	characteristic, complemented
221	#3505	C₂×C₃	1	4	yes	complemented
222	#3500	C₂×C₃	1	2	yes	complemented
223	#3497	C₂×C₃	1	1	yes	characteristic, complemented
224	#3496	C₂×C₃	1	1	yes	characteristic, complemented
225	#3494	C₂×C₃	1	4	yes	complemented
226	#3489	C₂×C₃	1	2	yes	complemented
227	#3488	C₂×C₃	1	2	yes	complemented
228	#3444	C₂×C₃	1	1	yes	characteristic, complemented
229	C₂×#532	C₂×C₃	1	1	yes	characteristic, complemented
230	C₂×#529	C₂×C₃	1	1	yes	characteristic, complemented
231	C₃×2₋¹⁺⁴	—	4	8	no	—
232	C₃×H(5,𝔽₂)	—	4	8	no	—
233	C₂×C₃×#41	—	4	8	no	—
234	C₂×C₃×#41	C₂³	1	2	yes	—
235	C₂×C₃×#41	C₂³	1	2	yes	—
236	C₂×C₃×#41	C₂³	1	2	yes	—
237	C₂×C₃×#41	C₂³	1	4	yes	—
238	C₂×C₃×#41	C₂³	1	4	yes	—
239	C₂×C₃×#41	C₂³	1	2	yes	—
240	C₂×C₃×#41	C₂³	1	2	yes	—
241	C₂×C₃×#41	C₂³	1	4	yes	—
242	C₂×C₃×#41	C₂³	1	4	yes	—
243	C₂×C₃×#41	C₂³	1	4	yes	—
244	C₂×C₃×#41	C₂³	1	4	yes	—
245	C₂×C₃×#41	C₂³	1	8	yes	—
246	C₂×C₃×#41	C₂³	1	2	yes	—
247	C₂×C₃×#41	C₂³	1	2	yes	—
248	C₂×C₃×#41	C₂³	1	4	yes	—
249	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
250	C₂²×C₃×Q₈	C₂³	1	2	yes	—
251	C₂²×C₃×Q₈	C₂³	1	4	yes	—
252	C₂²×C₃×Q₈	C₂³	1	4	yes	—
253	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
254	C₂²×C₃×D₄	C₂³	1	4	yes	—
255	C₂²×C₃×D₄	C₂³	1	2	yes	—
256	C₂²×C₃×D₄	C₂³	1	8	yes	—
257	C₂²×C₃×D₄	C₂³	1	4	yes	—
258	C₂²×C₃×D₄	C₂³	1	4	yes	—
259	C₂²×C₃×D₄	C₂³	1	2	yes	—
260	C₂²×C₃×D₄	C₂³	1	2	yes	—
261	C₂²×C₃×D₄	C₂³	1	2	yes	—
262	C₂²×C₃×D₄	C₂³	1	8	yes	—
263	C₂²×C₃×D₄	C₂³	1	4	yes	—
264	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
265	C₂³×C₃×C₄	C₂³	1	4	yes	—
266	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
267	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
268	C₂³×C₃×C₄	C₂³	1	2	yes	—
269	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
270	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
271	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
272	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
273	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
274	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
275	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
276	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
277	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
279	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
280	C₃×#127	C₂³	1	1	yes	characteristic
281	C₃×#127	C₂³	1	4	yes	—
282	C₃×#127	C₂³	1	2	yes	—
283	C₃×#127	C₂³	1	8	yes	—
284	C₃×#127	C₂³	1	2	yes	—
285	C₃×#127	C₂³	1	2	yes	—
286	C₃×#127	C₂³	1	1	yes	characteristic
287	C₃×#127	C₂³	1	1	yes	characteristic
288	C₃×#127	C₂³	1	4	yes	—
289	C₃×#126	C₂³	1	4	yes	—
290	C₃×#126	C₂³	1	4	yes	—
291	C₃×#126	C₂³	1	8	yes	—
292	C₃×#126	C₂³	1	8	yes	—
293	C₃×#126	C₂³	1	8	yes	—
294	C₃×#126	C₂³	1	8	yes	—
295	C₃×#126	C₂³	1	4	yes	—
296	C₃×#126	C₂³	1	4	yes	—
297	C₃×#126	C₂³	1	4	yes	—
298	C₃×#126	C₂³	1	4	yes	—
299	C₃×#126	C₂³	1	8	yes	—
300	C₃×#126	C₂³	1	8	yes	—
301	C₃×#126	C₂³	1	8	yes	—
302	C₃×#125	C₂³	1	8	yes	—
303	C₃×#125	C₂³	1	8	yes	—
304	C₃×#125	C₂³	1	8	yes	—
305	C₃×#125	C₂³	1	2	yes	—
306	C₃×#125	C₂³	1	2	yes	—
307	C₃×#125	C₂³	1	2	yes	—
308	C₃×#125	C₂³	1	2	yes	—
309	C₃×#125	C₂³	1	2	yes	—
310	C₃×#125	C₂³	1	2	yes	—
311	C₃×#125	C₂³	1	2	yes	—
312	C₃×#125	C₂³	1	4	yes	—
313	C₃×#124	C₂³	1	2	yes	—
314	C₃×#124	C₂³	1	8	yes	—
315	C₃×#124	C₂³	1	4	yes	—
316	C₃×#124	C₂³	1	4	yes	—
317	C₃×#124	C₂³	1	4	yes	—
318	C₃×#124	C₂³	1	8	yes	—
319	C₃×#124	C₂³	1	8	yes	—
320	C₃×#124	C₂³	1	2	yes	—
321	C₃×#124	C₂³	1	2	yes	—
322	C₃×#124	C₂³	1	2	yes	—
323	C₃×#124	C₂³	1	2	yes	—
324	C₃×#124	C₂³	1	2	yes	—
325	C₃×#124	C₂³	1	2	yes	—
326	C₃×#124	C₂³	1	2	yes	—
327	C₃×#124	C₂³	1	4	yes	—
328	C₃×#124	C₂³	1	4	yes	—
329	C₃×#124	C₂³	1	8	yes	—
330	C₃×#124	C₂³	1	8	yes	—
331	C₃×#124	C₂³	1	2	yes	—
332	C₃×#124	C₂³	1	2	yes	—
333	C₃×#124	C₂³	1	2	yes	—
334	C₃×#124	C₂³	1	8	yes	—
335	C₃×#123	C₂³	1	8	yes	—
336	C₃×#123	C₂³	1	8	yes	—
337	C₃×#123	C₂³	1	8	yes	—
338	C₃×#123	C₂³	1	4	yes	—
339	C₃×#123	C₂³	1	8	yes	—
340	C₃×#123	C₂³	1	8	yes	—
341	C₃×#123	C₂³	1	8	yes	—
342	C₃×#123	C₂³	1	8	yes	—
343	C₃×#123	C₂³	1	8	yes	—
344	C₃×#123	C₂³	1	8	yes	—
345	C₃×#123	C₂³	1	8	yes	—
346	C₃×#123	C₂³	1	8	yes	—
347	C₃×#123	C₂³	1	4	yes	—
348	C₃×#123	C₂³	1	4	yes	—
349	C₃×#123	C₂³	1	4	yes	—
350	C₃×#123	C₂³	1	4	yes	—
351	C₃×#123	C₂³	1	4	yes	—
352	C₃×#123	C₂³	1	4	yes	—
353	C₃×#123	C₂³	1	8	yes	—
354	C₃×#123	C₂³	1	8	yes	—
355	C₃×#123	C₂³	1	8	yes	—
356	C₃×#123	C₂³	1	8	yes	—
357	C₃×#123	C₂³	1	8	yes	—
358	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
359	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
364	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
365	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
367	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
368	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
369	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
370	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
371	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
372	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
375	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
376	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
377	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
378	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
379	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
380	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
381	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
382	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
383	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
384	C₃×#121	C₂³	1	2	yes	—
385	C₃×#121	C₂³	1	4	yes	—
386	C₃×#121	C₂³	1	8	yes	—
387	C₃×#121	C₂³	1	8	yes	—
388	C₃×#121	C₂³	1	8	yes	—
389	C₃×#121	C₂³	1	8	yes	—
390	C₃×#121	C₂³	1	8	yes	—
391	C₃×#121	C₂³	1	8	yes	—
392	C₃×#121	C₂³	1	8	yes	—
393	C₃×#121	C₂³	1	8	yes	—
394	C₃×#121	C₂³	1	8	yes	—
395	C₃×#121	C₂³	1	8	yes	—
396	C₃×#121	C₂³	1	8	yes	—
397	C₃×#121	C₂³	1	8	yes	—
398	C₃×#121	C₂³	1	8	yes	—
399	C₃×#121	C₂³	1	2	yes	—
400	C₃×#121	C₂³	1	2	yes	—
401	C₃×#121	C₂³	1	2	yes	—
402	C₃×#121	C₂³	1	2	yes	—
403	C₃×#121	C₂³	1	2	yes	—
404	C₃×#121	C₂³	1	2	yes	—
405	C₃×#121	C₂³	1	2	yes	—
406	C₃×#121	C₂³	1	2	yes	—
407	C₃×#121	C₂³	1	2	yes	—
408	C₃×#121	C₂³	1	2	yes	—
409	C₃×#121	C₂³	1	2	yes	—
410	C₃×#121	C₂³	1	4	yes	—
411	C₃×#121	C₂³	1	2	yes	—
412	C₃×#121	C₂³	1	4	yes	—
413	C₃×#121	C₂³	1	4	yes	—
414	C₃×#121	C₂³	1	2	yes	—
415	C₃×#121	C₂³	1	2	yes	—
416	C₃×#121	C₂³	1	8	yes	—
417	C₃×#121	C₂³	1	4	yes	—
418	C₃×#121	C₂³	1	4	yes	—
419	C₃×#121	C₂³	1	8	yes	—
420	C₃×#121	C₂³	1	8	yes	—
421	C₃×#121	C₂³	1	8	yes	—
422	C₃×#121	C₂³	1	4	yes	—
423	C₃×#121	C₂³	1	4	yes	—
424	C₃×#121	C₂³	1	2	yes	—
425	C₃×#121	C₂³	1	2	yes	—
426	C₃×#121	C₂³	1	2	yes	—
427	C₃×#121	C₂³	1	4	yes	—
428	C₃×#121	C₂³	1	4	yes	—
429	C₃×#121	C₂³	1	4	yes	—
430	C₃×#121	C₂³	1	4	yes	—
431	C₃×#121	C₂³	1	4	yes	—
432	C₃×#121	C₂³	1	8	yes	—
433	C₃×#121	C₂³	1	8	yes	—
434	C₃×#121	C₂³	1	8	yes	—
435	C₃×#120	C₂³	1	8	yes	—
436	C₃×#120	C₂³	1	8	yes	—
437	C₃×#120	C₂³	1	8	yes	—
438	C₃×#120	C₂³	1	8	yes	—
439	C₃×#120	C₂³	1	8	yes	—
440	C₃×#120	C₂³	1	8	yes	—
441	C₃×#120	C₂³	1	4	yes	—
442	C₃×#120	C₂³	1	8	yes	—
443	C₃×#120	C₂³	1	8	yes	—
444	C₃×#120	C₂³	1	8	yes	—
445	C₃×C₄×Q₈	C₂³	1	2	yes	—
446	C₃×C₄×Q₈	C₂³	1	2	yes	—
447	C₃×C₄×Q₈	C₂³	1	2	yes	—
448	C₃×C₄×Q₈	C₂³	1	4	yes	—
449	C₃×C₄×Q₈	C₂³	1	2	yes	—
450	C₃×C₄×Q₈	C₂³	1	2	yes	—
451	C₃×C₄×Q₈	C₂³	1	2	yes	—
452	C₃×C₄×Q₈	C₂³	1	2	yes	—
453	C₃×C₄×Q₈	C₂³	1	2	yes	—
454	C₃×C₄×Q₈	C₂³	1	2	yes	—
455	C₃×C₄×Q₈	C₂³	1	2	yes	—
456	C₃×C₄×Q₈	C₂³	1	4	yes	—
457	C₃×C₄×Q₈	C₂³	1	4	yes	—
458	C₃×C₄×D₄	C₂³	1	2	yes	—
459	C₃×C₄×D₄	C₂³	1	8	yes	—
460	C₃×C₄×D₄	C₂³	1	4	yes	—
461	C₃×C₄×D₄	C₂³	1	4	yes	—
462	C₃×C₄×D₄	C₂³	1	4	yes	—
463	C₃×C₄×D₄	C₂³	1	4	yes	—
464	C₃×C₄×D₄	C₂³	1	2	yes	—
465	C₃×C₄×D₄	C₂³	1	2	yes	—
466	C₃×C₄×D₄	C₂³	1	4	yes	—
467	C₃×C₄×D₄	C₂³	1	4	yes	—
468	C₃×C₄×D₄	C₂³	1	2	yes	—
469	C₃×C₄×D₄	C₂³	1	2	yes	—
470	C₃×C₄×D₄	C₂³	1	2	yes	—
471	C₃×C₄×D₄	C₂³	1	4	yes	—
472	C₃×C₄×D₄	C₂³	1	2	yes	—
473	C₃×C₄×D₄	C₂³	1	2	yes	—
474	C₃×C₄×D₄	C₂³	1	4	yes	—
475	C₃×C₄×D₄	C₂³	1	4	yes	—
476	C₃×C₄×D₄	C₂³	1	4	yes	—
477	C₃×C₄×D₄	C₂³	1	2	yes	—
478	C₃×C₄×D₄	C₂³	1	2	yes	—
479	C₃×C₄×D₄	C₂³	1	2	yes	—
480	C₃×C₄×D₄	C₂³	1	4	yes	—
481	C₃×C₄×D₄	C₂³	1	2	yes	—
482	C₃×C₄×D₄	C₂³	1	4	yes	—
483	C₃×C₄×D₄	C₂³	1	2	yes	—
484	C₃×C₄×D₄	C₂³	1	4	yes	—
485	C₃×C₄×D₄	C₂³	1	4	yes	—
486	C₃×C₄×D₄	C₂³	1	4	yes	—
487	C₃×C₄×D₄	C₂³	1	4	yes	—
488	C₃×C₄×D₄	C₂³	1	4	yes	—
489	C₃×C₄×D₄	C₂³	1	2	yes	—
490	C₃×C₄×D₄	C₂³	1	2	yes	—
491	C₃×C₄×D₄	C₂³	1	2	yes	—
492	C₃×C₄×D₄	C₂³	1	2	yes	—
493	C₃×C₄×D₄	C₂³	1	2	yes	—
494	C₃×C₄×D₄	C₂³	1	8	yes	—
495	C₃×C₄×D₄	C₂³	1	8	yes	—
496	C₃×C₄×D₄	C₂³	1	8	yes	—
497	C₃×C₄×D₄	C₂³	1	8	yes	—
498	C₃×C₄×D₄	C₂³	1	8	yes	—
499	C₃×C₄×D₄	C₂³	1	8	yes	—
500	C₃×C₄×D₄	C₂³	1	8	yes	—
501	C₃×C₄×D₄	C₂³	1	4	yes	—
502	C₃×C₄×D₄	C₂³	1	8	yes	—
503	C₃×C₄×D₄	C₂³	1	8	yes	—
504	C₃×C₄×D₄	C₂³	1	8	yes	—
505	C₃×C₄×D₄	C₂³	1	8	yes	—
506	C₃×C₄×D₄	C₂³	1	4	yes	—
507	C₃×#117	C₂³	1	4	yes	—
508	C₃×#117	C₂³	1	4	yes	—
509	C₃×#117	C₂³	1	4	yes	—
510	C₃×#117	C₂³	1	4	yes	—
511	C₃×#117	C₂³	1	2	yes	—
512	C₃×#117	C₂³	1	2	yes	—
513	C₃×#117	C₂³	1	2	yes	—
514	C₃×#117	C₂³	1	4	yes	—
515	C₃×#117	C₂³	1	4	yes	—
516	C₃×#117	C₂³	1	4	yes	—
517	C₃×#117	C₂³	1	4	yes	—
518	C₃×#117	C₂³	1	8	yes	—
519	C₃×#117	C₂³	1	8	yes	—
520	C₃×#117	C₂³	1	4	yes	—
521	C₃×#117	C₂³	1	4	yes	—
522	C₃×#117	C₂³	1	8	yes	—
523	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
524	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
525	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
526	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
527	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
528	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
529	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
530	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
531	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
532	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
533	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
534	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
535	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
536	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
537	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
538	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
539	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
540	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
541	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
542	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
543	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
544	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
545	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
546	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
547	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
548	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
549	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
550	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
551	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
552	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
553	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
554	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
555	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
556	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
557	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
558	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
559	C₂×C₃×C₄²	C₂³	1	2	yes	—
560	C₂×C₃×C₄²	C₂³	1	4	yes	—
561	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
562	C₂×H(5,𝔽₂)	C₂²×C₃	1	2	yes	complemented
563	C₂²×#41	C₂²×C₃	1	2	yes	complemented
564	#563	C₂²×C₃	1	8	yes	complemented
565	#562	C₂²×C₃	1	8	yes	complemented
566	#560	C₂²×C₃	1	8	yes	complemented
567	#560	C₂²×C₃	1	8	yes	complemented
568	#559	C₂²×C₃	1	4	yes	complemented
569	#559	C₂²×C₃	1	2	yes	complemented
570	#557	C₂²×C₃	1	2	yes	complemented
571	#556	C₂²×C₃	1	2	yes	complemented
572	#556	C₂²×C₃	1	4	yes	complemented
573	#556	C₂²×C₃	1	2	yes	complemented
574	#555	C₂²×C₃	1	8	yes	complemented
575	#555	C₂²×C₃	1	2	yes	complemented
576	#555	C₂²×C₃	1	4	yes	complemented
577	#554	C₂²×C₃	1	2	yes	complemented
578	#554	C₂²×C₃	1	4	yes	complemented
579	#553	C₂²×C₃	1	8	yes	complemented
580	#553	C₂²×C₃	1	8	yes	complemented
581	#553	C₂²×C₃	1	4	yes	complemented
582	#553	C₂²×C₃	1	4	yes	complemented
583	#553	C₂²×C₃	1	8	yes	complemented
584	#553	C₂²×C₃	1	4	yes	complemented
585	#553	C₂²×C₃	1	8	yes	complemented
586	#553	C₂²×C₃	1	4	yes	complemented
587	#553	C₂²×C₃	1	4	yes	complemented
588	#552	C₂²×C₃	1	4	yes	complemented
589	#552	C₂²×C₃	1	4	yes	complemented
590	#552	C₂²×C₃	1	4	yes	complemented
591	#551	C₂²×C₃	1	8	yes	complemented
592	#551	C₂²×C₃	1	8	yes	complemented
593	#551	C₂²×C₃	1	8	yes	complemented
594	#551	C₂²×C₃	1	8	yes	complemented
595	#550	C₂²×C₃	1	4	yes	complemented
596	#550	C₂²×C₃	1	2	yes	complemented
597	#550	C₂²×C₃	1	2	yes	complemented
598	#550	C₂²×C₃	1	2	yes	complemented
599	#550	C₂²×C₃	1	4	yes	complemented
600	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
601	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
602	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
603	#548	C₂²×C₃	1	4	yes	complemented
604	#548	C₂²×C₃	1	4	yes	complemented
605	#548	C₂²×C₃	1	4	yes	complemented
606	#548	C₂²×C₃	1	4	yes	complemented
607	#548	C₂²×C₃	1	4	yes	complemented
608	#548	C₂²×C₃	1	4	yes	complemented
609	#547	C₂²×C₃	1	8	yes	complemented
610	#547	C₂²×C₃	1	4	yes	complemented
611	#547	C₂²×C₃	1	2	yes	complemented
612	#547	C₂²×C₃	1	2	yes	complemented
613	#547	C₂²×C₃	1	2	yes	complemented
614	#546	C₂²×C₃	1	8	yes	complemented
615	#546	C₂²×C₃	1	4	yes	complemented
616	#546	C₂²×C₃	1	4	yes	complemented
617	#546	C₂²×C₃	1	8	yes	complemented
618	#546	C₂²×C₃	1	8	yes	complemented
619	#546	C₂²×C₃	1	4	yes	complemented
620	#546	C₂²×C₃	1	4	yes	complemented
621	#546	C₂²×C₃	1	4	yes	complemented
622	#546	C₂²×C₃	1	4	yes	complemented
623	#546	C₂²×C₃	1	8	yes	complemented
624	#546	C₂²×C₃	1	8	yes	complemented
625	#546	C₂²×C₃	1	4	yes	complemented
626	#546	C₂²×C₃	1	4	yes	complemented
627	D₄²	C₂²×C₃	1	4	yes	complemented
628	D₄²	C₂²×C₃	1	8	yes	complemented
629	D₄²	C₂²×C₃	1	2	yes	complemented
630	D₄²	C₂²×C₃	1	2	yes	complemented
631	D₄²	C₂²×C₃	1	4	yes	complemented
632	#544	C₂²×C₃	1	4	yes	complemented
633	#542	C₂²×C₃	1	4	yes	complemented
634	#542	C₂²×C₃	1	4	yes	complemented
635	#542	C₂²×C₃	1	8	yes	complemented
636	#541	C₂²×C₃	1	4	yes	complemented
637	#540	C₂²×C₃	1	4	yes	complemented
638	#540	C₂²×C₃	1	4	yes	complemented
639	#540	C₂²×C₃	1	4	yes	complemented
640	#540	C₂²×C₃	1	8	yes	complemented
641	#540	C₂²×C₃	1	8	yes	complemented
642	#539	C₂²×C₃	1	8	yes	complemented
643	#539	C₂²×C₃	1	4	yes	complemented
644	#539	C₂²×C₃	1	8	yes	complemented
645	#538	C₂²×C₃	1	8	yes	complemented
646	#538	C₂²×C₃	1	4	yes	complemented
647	#538	C₂²×C₃	1	8	yes	complemented
648	#538	C₂²×C₃	1	8	yes	complemented
649	#538	C₂²×C₃	1	8	yes	complemented
650	#538	C₂²×C₃	1	8	yes	complemented
651	#537	C₂²×C₃	1	2	yes	complemented
652	#537	C₂²×C₃	1	4	yes	complemented
653	#537	C₂²×C₃	1	2	yes	complemented
654	#537	C₂²×C₃	1	4	yes	complemented
655	#537	C₂²×C₃	1	4	yes	complemented
656	#536	C₂²×C₃	1	2	yes	complemented
657	#536	C₂²×C₃	1	4	yes	complemented
658	#536	C₂²×C₃	1	4	yes	complemented
659	#535	C₂²×C₃	1	2	yes	complemented
660	#535	C₂²×C₃	1	4	yes	complemented
661	#535	C₂²×C₃	1	4	yes	complemented
662	#535	C₂²×C₃	1	4	yes	complemented
663	#534	C₂²×C₃	1	4	yes	complemented
664	#534	C₂²×C₃	1	8	yes	complemented
665	#533	C₂²×C₃	1	1	yes	characteristic, complemented
666	#533	C₂²×C₃	1	1	yes	characteristic, complemented
667	#533	C₂²×C₃	1	1	yes	characteristic, complemented
668	#532	C₂²×C₃	1	1	yes	characteristic
669	#532	C₂²×C₃	1	2	yes	complemented
670	#532	C₂²×C₃	1	1	yes	characteristic, complemented
671	#532	C₂²×C₃	1	2	yes	complemented
672	#532	C₂²×C₃	1	1	yes	characteristic, complemented
673	#532	C₂²×C₃	1	1	yes	characteristic, complemented
674	#532	C₂²×C₃	1	2	yes	complemented
675	#532	C₂²×C₃	1	2	yes	complemented
676	#532	C₂²×C₃	1	2	yes	complemented
677	#532	C₂²×C₃	1	2	yes	complemented
678	#532	C₂²×C₃	1	1	yes	characteristic, complemented
679	#532	C₂²×C₃	1	1	yes	characteristic, complemented
680	#532	C₂²×C₃	1	1	yes	characteristic, complemented
681	#532	C₂²×C₃	1	4	yes	complemented
682	#532	C₂²×C₃	1	4	yes	complemented
683	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
684	C₂×#127	C₂²×C₃	1	1	yes	characteristic, complemented
685	#529	C₂²×C₃	1	2	yes	complemented
686	#529	C₂²×C₃	1	2	yes	complemented
687	#529	C₂²×C₃	1	2	yes	complemented
688	#529	C₂²×C₃	1	2	yes	complemented
689	#529	C₂²×C₃	1	2	yes	complemented
690	#529	C₂²×C₃	1	2	yes	complemented
691	#529	C₂²×C₃	1	2	yes	complemented
692	#529	C₂²×C₃	1	2	yes	complemented
693	#529	C₂²×C₃	1	2	yes	complemented
694	#529	C₂²×C₃	1	2	yes	complemented
695	#529	C₂²×C₃	1	2	yes	complemented
696	#529	C₂²×C₃	1	2	yes	complemented
697	#529	C₂²×C₃	1	2	yes	complemented
698	#529	C₂²×C₃	1	2	yes	complemented
699	#529	C₂²×C₃	1	4	yes	complemented
700	#529	C₂²×C₃	1	4	yes	complemented
701	#529	C₂²×C₃	1	4	yes	complemented
702	C₂×#126	C₂²×C₃	1	2	yes	complemented
703	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
704	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
705	C₂×#124	C₂²×C₃	1	2	yes	complemented
706	C₂×#124	C₂²×C₃	1	4	yes	complemented
707	#525	C₂²×C₃	1	2	yes	complemented
708	#525	C₂²×C₃	1	2	yes	complemented
709	#525	C₂²×C₃	1	2	yes	complemented
710	#525	C₂²×C₃	1	4	yes	complemented
711	#525	C₂²×C₃	1	4	yes	complemented
712	#525	C₂²×C₃	1	4	yes	complemented
713	C₂×#123	C₂²×C₃	1	2	yes	complemented
714	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
715	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
716	C₂×#121	C₂²×C₃	1	1	yes	characteristic
717	C₂×#121	C₂²×C₃	1	2	yes	complemented
718	C₂×#121	C₂²×C₃	1	2	yes	complemented
719	C₂×#121	C₂²×C₃	1	4	yes	complemented
720	C₂×#121	C₂²×C₃	1	4	yes	complemented
721	#520	C₂²×C₃	1	2	yes	complemented
722	#520	C₂²×C₃	1	2	yes	complemented
723	#520	C₂²×C₃	1	4	yes	complemented
724	#518	C₂²×C₃	1	4	yes	complemented
725	#518	C₂²×C₃	1	8	yes	complemented
726	C₄×#41	C₂²×C₃	1	2	yes	complemented
727	C₄×#41	C₂²×C₃	1	2	yes	complemented
728	C₄×#41	C₂²×C₃	1	2	yes	complemented
729	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
730	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
731	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
732	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
733	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
734	C₂×#117	C₂²×C₃	1	2	yes	complemented
735	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
736	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
737	C₂⁴×C₃	C₂⁴	1	2	yes	—
738	C₂⁴×C₃	C₂⁴	1	4	yes	—
739	C₂⁴×C₃	C₂⁴	1	8	yes	—
740	C₃×#41	—	2	8	no	—
741	C₃×#41	—	2	8	no	—
742	C₃×#41	—	2	8	no	—
743	C₃×#41	—	4	8	no	—
744	C₃×#41	—	4	8	no	—
745	C₃×#41	—	4	4	no	—
746	C₃×#41	—	4	16	no	—
747	C₃×#41	—	4	4	no	—
748	C₃×#41	—	4	4	no	—
749	C₃×#41	—	4	8	no	—
750	C₃×#41	—	4	4	no	—
751	C₃×#41	—	4	8	no	—
752	C₃×#41	—	4	8	no	—
753	C₃×#41	—	4	8	no	—
754	C₃×#41	—	4	8	no	—
755	C₂×C₃×Q₈	—	2	4	no	—
756	C₂×C₃×Q₈	—	4	4	no	—
757	C₂×C₃×Q₈	—	4	8	no	—
758	C₂×C₃×Q₈	—	4	8	no	—
759	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
760	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
761	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
762	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
763	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
764	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
765	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
766	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
767	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
768	C₂×C₃×D₄	—	2	4	no	—
769	C₂×C₃×D₄	—	4	4	no	—
770	C₂×C₃×D₄	—	4	8	no	—
771	C₂×C₃×D₄	—	4	4	no	—
772	C₂×C₃×D₄	—	4	8	no	—
773	C₂×C₃×D₄	—	4	8	no	—
774	C₂×C₃×D₄	—	4	4	no	—
775	C₂×C₃×D₄	—	4	4	no	—
776	C₂×C₃×D₄	—	4	16	no	—
777	C₂×C₃×D₄	—	4	8	no	—
778	C₂×C₃×D₄	—	4	16	no	—
779	C₂×C₃×D₄	C₂⁴	1	4	yes	—
780	C₂×C₃×D₄	C₂⁴	1	4	yes	—
781	C₂×C₃×D₄	C₂⁴	1	2	yes	—
782	C₂×C₃×D₄	C₂⁴	1	2	yes	—
783	C₂×C₃×D₄	C₂⁴	1	2	yes	—
784	C₂×C₃×D₄	C₂⁴	1	4	yes	—
785	C₂×C₃×D₄	C₂⁴	1	4	yes	—
786	C₂×C₃×D₄	C₂⁴	1	4	yes	—
787	C₂×C₃×D₄	C₂⁴	1	2	yes	—
788	C₂×C₃×D₄	C₂⁴	1	2	yes	—
789	C₂×C₃×D₄	C₂⁴	1	2	yes	—
790	C₂×C₃×D₄	C₂⁴	1	2	yes	—
791	C₂×C₃×D₄	C₂⁴	1	2	yes	—
792	C₂×C₃×D₄	C₂⁴	1	2	yes	—
793	C₂×C₃×D₄	C₂⁴	1	8	yes	—
794	C₂×C₃×D₄	C₂⁴	1	2	yes	—
795	C₂×C₃×D₄	C₂⁴	1	8	yes	—
796	C₂×C₃×D₄	C₂⁴	1	4	yes	—
797	C₂×C₃×D₄	C₂⁴	1	8	yes	—
798	C₂×C₃×D₄	C₂⁴	1	4	yes	—
799	C₂×C₃×D₄	C₂⁴	1	4	yes	—
800	C₂×C₃×D₄	C₂⁴	1	4	yes	—
801	C₂×C₃×D₄	C₂⁴	1	8	yes	—
802	C₂×C₃×D₄	C₂⁴	1	2	yes	—
803	C₂×C₃×D₄	C₂⁴	1	8	yes	—
804	C₂×C₃×D₄	C₂⁴	1	4	yes	—
805	C₂×C₃×D₄	C₂⁴	1	8	yes	—
806	C₂×C₃×D₄	C₂⁴	1	4	yes	—
807	C₂×C₃×D₄	C₂⁴	1	8	yes	—
808	C₂×C₃×D₄	C₂⁴	1	4	yes	—
809	C₂²×C₃×C₄	—	2	4	no	—
810	C₂²×C₃×C₄	—	4	2	no	—
811	C₂²×C₃×C₄	—	4	4	no	—
812	C₂²×C₃×C₄	—	4	8	no	—
813	C₂²×C₃×C₄	—	4	2	no	—
814	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
815	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
816	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
817	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
818	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
819	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
820	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
821	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
822	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
823	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
824	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
825	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
826	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
827	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
828	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
829	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
830	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
831	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
832	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
833	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
834	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
835	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
836	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
837	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
838	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
839	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
840	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
841	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
842	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
843	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
844	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
845	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
846	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
847	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
848	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
849	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
850	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
851	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
852	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
853	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
854	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
855	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
856	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
857	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
858	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
859	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
860	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
861	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
862	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
863	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
864	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
865	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
866	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
867	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
868	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
869	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
870	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
871	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
872	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
873	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
874	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
875	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
876	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
877	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
878	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
879	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
880	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
881	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
882	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
883	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
884	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
885	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
886	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
897	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
898	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
899	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
908	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
909	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
911	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
912	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
916	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
921	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
922	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
923	C₃×C₄²	C₂⁴	1	1	yes	characteristic
924	C₃×C₄²	C₂⁴	1	1	yes	characteristic
925	C₃×C₄²	C₂⁴	1	1	yes	characteristic
926	C₃×C₄²	C₂⁴	1	1	yes	characteristic
927	C₃×C₄²	C₂⁴	1	1	yes	characteristic
928	C₃×C₄²	C₂⁴	1	1	yes	characteristic
929	C₃×C₄²	C₂⁴	1	1	yes	characteristic
930	C₃×C₄²	C₂⁴	1	1	yes	characteristic
931	C₃×C₄²	C₂⁴	1	1	yes	characteristic
932	C₃×C₄²	C₂⁴	1	1	yes	characteristic
933	C₃×C₄²	C₂⁴	1	1	yes	characteristic
934	C₃×C₄²	C₂⁴	1	1	yes	characteristic
935	C₃×C₄²	C₂⁴	1	1	yes	characteristic
936	C₃×C₄²	C₂⁴	1	1	yes	characteristic
937	C₃×C₄²	C₂⁴	1	1	yes	characteristic
938	C₃×C₄²	C₂⁴	1	1	yes	characteristic
939	C₃×C₄²	C₂⁴	1	4	yes	—
940	C₃×C₄²	C₂⁴	1	4	yes	—
941	C₃×C₄²	C₂⁴	1	4	yes	—
942	C₃×C₄²	C₂⁴	1	4	yes	—
943	C₃×C₄²	C₂⁴	1	4	yes	—
944	C₃×C₄²	C₂⁴	1	8	yes	—
945	C₃×C₄²	C₂⁴	1	8	yes	—
946	2₋¹⁺⁴	—	4	8	no	—
947	H(5,𝔽₂)	—	4	8	no	—
948	C₂×#41	—	4	8	no	—
949	C₂×#41	C₂³×C₃	1	2	yes	—
950	C₂×#41	C₂³×C₃	1	2	yes	—
951	C₂×#41	C₂³×C₃	1	2	yes	—
952	C₂×#41	C₂³×C₃	1	2	yes	—
953	C₂×#41	C₂³×C₃	1	2	yes	—
954	C₂×#41	C₂³×C₃	1	4	yes	—
955	C₂×#41	C₂³×C₃	1	4	yes	—
956	C₂×#41	C₂³×C₃	1	4	yes	—
957	C₂×#41	C₂³×C₃	1	4	yes	—
958	C₂×#41	C₂³×C₃	1	4	yes	—
959	C₂×#41	C₂³×C₃	1	2	yes	—
960	C₂×#41	C₂³×C₃	1	2	yes	—
961	C₂×#41	C₂³×C₃	1	4	yes	—
962	C₂×#41	C₂³×C₃	1	4	yes	—
963	C₂×#41	C₂³×C₃	1	8	yes	—
964	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
965	C₂²×Q₈	C₂³×C₃	1	4	yes	—
966	C₂²×Q₈	C₂³×C₃	1	2	yes	—
967	C₂²×Q₈	C₂³×C₃	1	4	yes	—
968	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₃	1	2	yes	—
970	C₂²×D₄	C₂³×C₃	1	2	yes	—
971	C₂²×D₄	C₂³×C₃	1	2	yes	—
972	C₂²×D₄	C₂³×C₃	1	8	yes	—
973	C₂²×D₄	C₂³×C₃	1	4	yes	—
974	C₂²×D₄	C₂³×C₃	1	4	yes	—
975	C₂²×D₄	C₂³×C₃	1	8	yes	—
976	C₂²×D₄	C₂³×C₃	1	4	yes	—
977	C₂²×D₄	C₂³×C₃	1	2	yes	—
978	C₂²×D₄	C₂³×C₃	1	4	yes	—
979	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₃	1	2	yes	—
981	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₃	1	4	yes	—
983	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
984	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
985	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
986	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
987	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
988	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
989	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
990	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
991	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
992	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
993	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
994	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
995	#127	C₂³×C₃	1	1	yes	characteristic
996	#127	C₂³×C₃	1	2	yes	—
997	#127	C₂³×C₃	1	2	yes	—
998	#127	C₂³×C₃	1	1	yes	characteristic
999	#127	C₂³×C₃	1	2	yes	—
1000	#127	C₂³×C₃	1	1	yes	characteristic
1001	#127	C₂³×C₃	1	4	yes	—
1002	#127	C₂³×C₃	1	4	yes	—
1003	#127	C₂³×C₃	1	8	yes	—
1004	#126	C₂³×C₃	1	4	yes	—
1005	#126	C₂³×C₃	1	4	yes	—
1006	#126	C₂³×C₃	1	4	yes	—
1007	#126	C₂³×C₃	1	4	yes	—
1008	#126	C₂³×C₃	1	4	yes	—
1009	#126	C₂³×C₃	1	4	yes	—
1010	#126	C₂³×C₃	1	8	yes	—
1011	#126	C₂³×C₃	1	8	yes	—
1012	#126	C₂³×C₃	1	8	yes	—
1013	#126	C₂³×C₃	1	8	yes	—
1014	#126	C₂³×C₃	1	8	yes	—
1015	#126	C₂³×C₃	1	8	yes	—
1016	#126	C₂³×C₃	1	8	yes	—
1017	#125	C₂³×C₃	1	2	yes	—
1018	#125	C₂³×C₃	1	2	yes	—
1019	#125	C₂³×C₃	1	2	yes	—
1020	#125	C₂³×C₃	1	2	yes	—
1021	#125	C₂³×C₃	1	2	yes	—
1022	#125	C₂³×C₃	1	2	yes	—
1023	#125	C₂³×C₃	1	2	yes	—
1024	#125	C₂³×C₃	1	4	yes	—
1025	#125	C₂³×C₃	1	8	yes	—
1026	#125	C₂³×C₃	1	8	yes	—
1027	#125	C₂³×C₃	1	8	yes	—
1028	#124	C₂³×C₃	1	2	yes	—
1029	#124	C₂³×C₃	1	2	yes	—
1030	#124	C₂³×C₃	1	2	yes	—
1031	#124	C₂³×C₃	1	2	yes	—
1032	#124	C₂³×C₃	1	2	yes	—
1033	#124	C₂³×C₃	1	2	yes	—
1034	#124	C₂³×C₃	1	2	yes	—
1035	#124	C₂³×C₃	1	4	yes	—
1036	#124	C₂³×C₃	1	2	yes	—
1037	#124	C₂³×C₃	1	4	yes	—
1038	#124	C₂³×C₃	1	4	yes	—
1039	#124	C₂³×C₃	1	4	yes	—
1040	#124	C₂³×C₃	1	8	yes	—
1041	#124	C₂³×C₃	1	8	yes	—
1042	#124	C₂³×C₃	1	2	yes	—
1043	#124	C₂³×C₃	1	2	yes	—
1044	#124	C₂³×C₃	1	2	yes	—
1045	#124	C₂³×C₃	1	4	yes	—
1046	#124	C₂³×C₃	1	8	yes	—
1047	#124	C₂³×C₃	1	8	yes	—
1048	#124	C₂³×C₃	1	8	yes	—
1049	#124	C₂³×C₃	1	8	yes	—
1050	#123	C₂³×C₃	1	4	yes	—
1051	#123	C₂³×C₃	1	4	yes	—
1052	#123	C₂³×C₃	1	4	yes	—
1053	#123	C₂³×C₃	1	4	yes	—
1054	#123	C₂³×C₃	1	4	yes	—
1055	#123	C₂³×C₃	1	4	yes	—
1056	#123	C₂³×C₃	1	4	yes	—
1057	#123	C₂³×C₃	1	8	yes	—
1058	#123	C₂³×C₃	1	8	yes	—
1059	#123	C₂³×C₃	1	8	yes	—
1060	#123	C₂³×C₃	1	8	yes	—
1061	#123	C₂³×C₃	1	8	yes	—
1062	#123	C₂³×C₃	1	8	yes	—
1063	#123	C₂³×C₃	1	8	yes	—
1064	#123	C₂³×C₃	1	8	yes	—
1065	#123	C₂³×C₃	1	8	yes	—
1066	#123	C₂³×C₃	1	8	yes	—
1067	#123	C₂³×C₃	1	8	yes	—
1068	#123	C₂³×C₃	1	8	yes	—
1069	#123	C₂³×C₃	1	8	yes	—
1070	#123	C₂³×C₃	1	8	yes	—
1071	#123	C₂³×C₃	1	8	yes	—
1072	#123	C₂³×C₃	1	8	yes	—
1073	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1074	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1075	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1076	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1077	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1078	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1079	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1080	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1081	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1082	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1083	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1084	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1085	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1086	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1087	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1088	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1089	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1090	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1091	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1092	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1093	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1094	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1095	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1096	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1097	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1098	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1099	#121	C₂³×C₃	1	2	yes	—
1100	#121	C₂³×C₃	1	2	yes	—
1101	#121	C₂³×C₃	1	2	yes	—
1102	#121	C₂³×C₃	1	2	yes	—
1103	#121	C₂³×C₃	1	2	yes	—
1104	#121	C₂³×C₃	1	2	yes	—
1105	#121	C₂³×C₃	1	2	yes	—
1106	#121	C₂³×C₃	1	2	yes	—
1107	#121	C₂³×C₃	1	2	yes	—
1108	#121	C₂³×C₃	1	2	yes	—
1109	#121	C₂³×C₃	1	2	yes	—
1110	#121	C₂³×C₃	1	4	yes	—
1111	#121	C₂³×C₃	1	2	yes	—
1112	#121	C₂³×C₃	1	4	yes	—
1113	#121	C₂³×C₃	1	4	yes	—
1114	#121	C₂³×C₃	1	2	yes	—
1115	#121	C₂³×C₃	1	2	yes	—
1116	#121	C₂³×C₃	1	4	yes	—
1117	#121	C₂³×C₃	1	8	yes	—
1118	#121	C₂³×C₃	1	4	yes	—
1119	#121	C₂³×C₃	1	4	yes	—
1120	#121	C₂³×C₃	1	8	yes	—
1121	#121	C₂³×C₃	1	8	yes	—
1122	#121	C₂³×C₃	1	8	yes	—
1123	#121	C₂³×C₃	1	4	yes	—
1124	#121	C₂³×C₃	1	4	yes	—
1125	#121	C₂³×C₃	1	2	yes	—
1126	#121	C₂³×C₃	1	2	yes	—
1127	#121	C₂³×C₃	1	2	yes	—
1128	#121	C₂³×C₃	1	2	yes	—
1129	#121	C₂³×C₃	1	4	yes	—
1130	#121	C₂³×C₃	1	4	yes	—
1131	#121	C₂³×C₃	1	4	yes	—
1132	#121	C₂³×C₃	1	4	yes	—
1133	#121	C₂³×C₃	1	4	yes	—
1134	#121	C₂³×C₃	1	8	yes	—
1135	#121	C₂³×C₃	1	8	yes	—
1136	#121	C₂³×C₃	1	8	yes	—
1137	#121	C₂³×C₃	1	8	yes	—
1138	#121	C₂³×C₃	1	8	yes	—
1139	#121	C₂³×C₃	1	8	yes	—
1140	#121	C₂³×C₃	1	8	yes	—
1141	#121	C₂³×C₃	1	8	yes	—
1142	#121	C₂³×C₃	1	8	yes	—
1143	#121	C₂³×C₃	1	8	yes	—
1144	#121	C₂³×C₃	1	8	yes	—
1145	#121	C₂³×C₃	1	8	yes	—
1146	#121	C₂³×C₃	1	8	yes	—
1147	#121	C₂³×C₃	1	8	yes	—
1148	#121	C₂³×C₃	1	8	yes	—
1149	#121	C₂³×C₃	1	8	yes	—
1150	#120	C₂³×C₃	1	4	yes	—
1151	#120	C₂³×C₃	1	8	yes	—
1152	#120	C₂³×C₃	1	8	yes	—
1153	#120	C₂³×C₃	1	8	yes	—
1154	#120	C₂³×C₃	1	8	yes	—
1155	#120	C₂³×C₃	1	8	yes	—
1156	#120	C₂³×C₃	1	8	yes	—
1157	#120	C₂³×C₃	1	8	yes	—
1158	#120	C₂³×C₃	1	8	yes	—
1159	#120	C₂³×C₃	1	8	yes	—
1160	C₄×Q₈	C₂³×C₃	1	2	yes	—
1161	C₄×Q₈	C₂³×C₃	1	2	yes	—
1162	C₄×Q₈	C₂³×C₃	1	2	yes	—
1163	C₄×Q₈	C₂³×C₃	1	2	yes	—
1164	C₄×Q₈	C₂³×C₃	1	2	yes	—
1165	C₄×Q₈	C₂³×C₃	1	2	yes	—
1166	C₄×Q₈	C₂³×C₃	1	2	yes	—
1167	C₄×Q₈	C₂³×C₃	1	2	yes	—
1168	C₄×Q₈	C₂³×C₃	1	2	yes	—
1169	C₄×Q₈	C₂³×C₃	1	2	yes	—
1170	C₄×Q₈	C₂³×C₃	1	4	yes	—
1171	C₄×Q₈	C₂³×C₃	1	4	yes	—
1172	C₄×Q₈	C₂³×C₃	1	4	yes	—
1173	C₄×D₄	C₂³×C₃	1	4	yes	—
1174	C₄×D₄	C₂³×C₃	1	2	yes	—
1175	C₄×D₄	C₂³×C₃	1	2	yes	—
1176	C₄×D₄	C₂³×C₃	1	4	yes	—
1177	C₄×D₄	C₂³×C₃	1	4	yes	—
1178	C₄×D₄	C₂³×C₃	1	2	yes	—
1179	C₄×D₄	C₂³×C₃	1	2	yes	—
1180	C₄×D₄	C₂³×C₃	1	2	yes	—
1181	C₄×D₄	C₂³×C₃	1	2	yes	—
1182	C₄×D₄	C₂³×C₃	1	4	yes	—
1183	C₄×D₄	C₂³×C₃	1	2	yes	—
1184	C₄×D₄	C₂³×C₃	1	2	yes	—
1185	C₄×D₄	C₂³×C₃	1	4	yes	—
1186	C₄×D₄	C₂³×C₃	1	4	yes	—
1187	C₄×D₄	C₂³×C₃	1	4	yes	—
1188	C₄×D₄	C₂³×C₃	1	2	yes	—
1189	C₄×D₄	C₂³×C₃	1	2	yes	—
1190	C₄×D₄	C₂³×C₃	1	2	yes	—
1191	C₄×D₄	C₂³×C₃	1	4	yes	—
1192	C₄×D₄	C₂³×C₃	1	2	yes	—
1193	C₄×D₄	C₂³×C₃	1	4	yes	—
1194	C₄×D₄	C₂³×C₃	1	2	yes	—
1195	C₄×D₄	C₂³×C₃	1	4	yes	—
1196	C₄×D₄	C₂³×C₃	1	4	yes	—
1197	C₄×D₄	C₂³×C₃	1	4	yes	—
1198	C₄×D₄	C₂³×C₃	1	4	yes	—
1199	C₄×D₄	C₂³×C₃	1	4	yes	—
1200	C₄×D₄	C₂³×C₃	1	2	yes	—
1201	C₄×D₄	C₂³×C₃	1	2	yes	—
1202	C₄×D₄	C₂³×C₃	1	2	yes	—
1203	C₄×D₄	C₂³×C₃	1	2	yes	—
1204	C₄×D₄	C₂³×C₃	1	2	yes	—
1205	C₄×D₄	C₂³×C₃	1	8	yes	—
1206	C₄×D₄	C₂³×C₃	1	8	yes	—
1207	C₄×D₄	C₂³×C₃	1	8	yes	—
1208	C₄×D₄	C₂³×C₃	1	8	yes	—
1209	C₄×D₄	C₂³×C₃	1	8	yes	—
1210	C₄×D₄	C₂³×C₃	1	8	yes	—
1211	C₄×D₄	C₂³×C₃	1	4	yes	—
1212	C₄×D₄	C₂³×C₃	1	8	yes	—
1213	C₄×D₄	C₂³×C₃	1	8	yes	—
1214	C₄×D₄	C₂³×C₃	1	4	yes	—
1215	C₄×D₄	C₂³×C₃	1	8	yes	—
1216	C₄×D₄	C₂³×C₃	1	8	yes	—
1217	C₄×D₄	C₂³×C₃	1	8	yes	—
1218	C₄×D₄	C₂³×C₃	1	4	yes	—
1219	C₄×D₄	C₂³×C₃	1	4	yes	—
1220	C₄×D₄	C₂³×C₃	1	8	yes	—
1221	C₄×D₄	C₂³×C₃	1	4	yes	—
1222	#117	C₂³×C₃	1	4	yes	—
1223	#117	C₂³×C₃	1	4	yes	—
1224	#117	C₂³×C₃	1	4	yes	—
1225	#117	C₂³×C₃	1	4	yes	—
1226	#117	C₂³×C₃	1	2	yes	—
1227	#117	C₂³×C₃	1	2	yes	—
1228	#117	C₂³×C₃	1	2	yes	—
1229	#117	C₂³×C₃	1	4	yes	—
1230	#117	C₂³×C₃	1	4	yes	—
1231	#117	C₂³×C₃	1	4	yes	—
1232	#117	C₂³×C₃	1	4	yes	—
1233	#117	C₂³×C₃	1	8	yes	—
1234	#117	C₂³×C₃	1	8	yes	—
1235	#117	C₂³×C₃	1	4	yes	—
1236	#117	C₂³×C₃	1	4	yes	—
1237	#117	C₂³×C₃	1	8	yes	—
1238	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1239	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1240	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1242	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1243	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1244	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1246	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1247	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1248	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1249	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1250	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1251	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1252	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1253	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1254	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1255	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1256	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1257	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1258	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1259	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1260	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1261	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1262	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1263	C₂×C₄²	C₂³×C₃	1	2	yes	—
1264	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1265	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1266	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1267	C₂×C₄²	C₂³×C₃	1	4	yes	—
1268	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1269	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1270	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1271	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1272	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1273	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1274	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1275	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1276	C₂³×C₃	—	2	2	no	—
1277	C₂³×C₃	—	2	2	no	—
1278	C₂³×C₃	—	2	4	no	—
1279	C₂³×C₃	—	2	8	no	—
1280	C₂³×C₃	—	4	1	no	—
1281	C₂³×C₃	—	4	4	no	—
1282	C₂³×C₃	—	4	2	no	—
1283	C₂³×C₃	—	4	4	no	—
1284	C₂³×C₃	—	4	2	no	—
1285	C₂³×C₃	—	4	8	no	—
1286	C₂³×C₃	—	4	8	no	—
1287	C₂³×C₃	—	4	8	no	—
1288	C₂³×C₃	C₂⁵	1	4	yes	—
1289	C₂³×C₃	C₂⁵	1	4	yes	—
1290	C₂³×C₃	C₂⁵	1	4	yes	—
1291	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1292	C₂³×C₃	C₂⁵	1	4	yes	—
1293	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1294	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1295	C₃×Q₈	—	2	4	no	—
1296	C₃×Q₈	—	2	4	no	—
1297	C₃×Q₈	—	2	4	no	—
1298	C₃×Q₈	—	2	4	no	—
1299	C₃×Q₈	—	2	4	no	—
1300	C₃×Q₈	—	2	4	no	—
1301	C₃×Q₈	—	4	8	no	—
1302	C₃×Q₈	—	4	4	no	—
1303	C₃×Q₈	—	4	2	no	—
1304	C₃×D₄	—	2	8	no	—
1305	C₃×D₄	—	2	8	no	—
1306	C₃×D₄	—	2	8	no	—
1307	C₃×D₄	—	2	8	no	—
1308	C₃×D₄	—	2	8	no	—
1309	C₃×D₄	—	2	4	no	—
1310	C₃×D₄	—	2	4	no	—
1311	C₃×D₄	—	2	4	no	—
1312	C₃×D₄	—	2	4	no	—
1313	C₃×D₄	—	2	4	no	—
1314	C₃×D₄	—	2	4	no	—
1315	C₃×D₄	—	2	4	no	—
1316	C₃×D₄	—	2	4	no	—
1317	C₃×D₄	—	4	8	no	—
1318	C₃×D₄	—	4	8	no	—
1319	C₃×D₄	—	4	8	no	—
1320	C₃×D₄	—	4	4	no	—
1321	C₃×D₄	—	4	2	no	—
1322	C₃×D₄	—	4	4	no	—
1323	C₃×D₄	—	4	2	no	—
1324	C₃×D₄	—	4	4	no	—
1325	C₃×D₄	—	4	8	no	—
1326	C₃×D₄	—	4	8	no	—
1327	C₃×D₄	—	4	4	no	—
1328	C₃×D₄	—	4	4	no	—
1329	C₃×D₄	—	4	4	no	—
1330	C₃×D₄	—	4	2	no	—
1331	C₃×D₄	—	4	4	no	—
1332	C₃×D₄	—	4	8	no	—
1333	C₃×D₄	—	4	8	no	—
1334	C₂×C₃×C₄	—	2	2	no	—
1335	C₂×C₃×C₄	—	2	4	no	—
1336	C₂×C₃×C₄	—	2	2	no	—
1337	C₂×C₃×C₄	—	2	2	no	—
1338	C₂×C₃×C₄	—	2	2	no	—
1339	C₂×C₃×C₄	—	2	2	no	—
1340	C₂×C₃×C₄	—	2	2	no	—
1341	C₂×C₃×C₄	—	2	2	no	—
1342	C₂×C₃×C₄	—	2	8	no	—
1343	C₂×C₃×C₄	—	2	8	no	—
1344	C₂×C₃×C₄	—	2	8	no	—
1345	C₂×C₃×C₄	—	2	2	no	—
1346	C₂×C₃×C₄	—	2	2	no	—
1347	C₂×C₃×C₄	—	2	8	no	—
1348	C₂×C₃×C₄	—	2	2	no	—
1349	C₂×C₃×C₄	—	4	1	no	—
1350	C₂×C₃×C₄	—	4	4	no	—
1351	C₂×C₃×C₄	—	4	1	no	—
1352	C₂×C₃×C₄	—	4	1	no	—
1353	C₂×C₃×C₄	—	4	1	no	—
1354	C₂×C₃×C₄	—	4	1	no	—
1355	C₂×C₃×C₄	—	4	2	no	—
1356	C₂×C₃×C₄	—	4	1	no	—
1357	C₂×C₃×C₄	—	4	1	no	—
1358	C₂×C₃×C₄	—	4	4	no	—
1359	C₂×C₃×C₄	—	4	4	no	—
1360	C₂×C₃×C₄	—	4	4	no	—
1361	C₂×C₃×C₄	—	4	2	no	—
1362	C₂×C₃×C₄	—	4	8	no	—
1363	C₂×C₃×C₄	—	4	8	no	—
1364	C₂×C₃×C₄	—	4	8	no	—
1365	C₂×C₃×C₄	—	4	8	no	—
1366	C₂×C₃×C₄	—	4	4	no	—
1367	C₂×C₃×C₄	—	4	4	no	—
1368	C₂×C₃×C₄	—	4	8	no	—
1369	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
1370	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1371	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1372	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1373	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1374	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1375	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1376	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1377	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1378	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1379	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1380	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1381	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1382	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1383	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1384	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1385	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1386	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1387	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1388	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1389	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1390	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1391	C₂⁴	C₂⁴×C₃	1	2	yes	—
1392	C₂⁴	C₂⁴×C₃	1	4	yes	—
1393	C₂⁴	C₂⁴×C₃	1	8	yes	—
1394	#41	—	2	8	no	—
1395	#41	—	2	8	no	—
1396	#41	—	2	8	no	—
1397	#41	—	4	8	no	—
1398	#41	—	4	8	no	—
1399	#41	—	4	16	no	—
1400	#41	—	4	4	no	—
1401	#41	—	4	4	no	—
1402	#41	—	4	4	no	—
1403	#41	—	4	8	no	—
1404	#41	—	4	8	no	—
1405	#41	—	4	8	no	—
1406	#41	—	4	8	no	—
1407	#41	—	4	8	no	—
1408	#41	—	4	4	no	—
1409	C₂×Q₈	—	2	4	no	—
1410	C₂×Q₈	—	4	4	no	—
1411	C₂×Q₈	—	4	8	no	—
1412	C₂×Q₈	—	4	8	no	—
1413	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1414	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1415	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1416	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1417	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1418	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1419	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1420	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1421	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1422	C₂×D₄	—	2	4	no	—
1423	C₂×D₄	—	4	4	no	—
1424	C₂×D₄	—	4	8	no	—
1425	C₂×D₄	—	4	8	no	—
1426	C₂×D₄	—	4	4	no	—
1427	C₂×D₄	—	4	8	no	—
1428	C₂×D₄	—	4	4	no	—
1429	C₂×D₄	—	4	8	no	—
1430	C₂×D₄	—	4	16	no	—
1431	C₂×D₄	—	4	4	no	—
1432	C₂×D₄	—	4	16	no	—
1433	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1434	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1435	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1436	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1437	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1438	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1439	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1440	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1441	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1442	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1443	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1444	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1445	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1446	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1447	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1448	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1449	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1450	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1451	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1452	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1453	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1454	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1455	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1456	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1457	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1458	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1459	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1460	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1461	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1462	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1463	C₂²×C₄	—	2	4	no	—
1464	C₂²×C₄	—	4	8	no	—
1465	C₂²×C₄	—	4	2	no	—
1466	C₂²×C₄	—	4	4	no	—
1467	C₂²×C₄	—	4	2	no	—
1468	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1469	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1470	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1471	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1472	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1473	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1474	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1475	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1476	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1477	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1479	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1480	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1481	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1482	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1483	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1487	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1488	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1489	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1490	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1491	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1492	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1493	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1494	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1495	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1496	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1497	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1498	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1499	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1500	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1501	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1502	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1503	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1505	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1506	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1507	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1508	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1509	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1510	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1511	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1513	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1514	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1515	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1516	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1517	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1518	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1519	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1520	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1521	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1522	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1523	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1524	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1525	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1526	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1527	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1528	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1529	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1530	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1531	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1532	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1533	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1534	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1535	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1536	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1537	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1538	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1539	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1540	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1541	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1542	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1543	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1544	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1546	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1547	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1548	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1549	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1550	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1551	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1552	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1553	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1554	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1555	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1556	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1557	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1558	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1559	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1560	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1561	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1562	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1563	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1564	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1565	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1566	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1567	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1568	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1569	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1570	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1571	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1572	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1573	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1574	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1575	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1576	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1577	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1578	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1579	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1580	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1581	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1582	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1583	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1584	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1585	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1586	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1587	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1588	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1589	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1590	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1591	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1592	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1593	C₄²	C₂⁴×C₃	1	4	yes	—
1594	C₄²	C₂⁴×C₃	1	4	yes	—
1595	C₄²	C₂⁴×C₃	1	4	yes	—
1596	C₄²	C₂⁴×C₃	1	4	yes	—
1597	C₄²	C₂⁴×C₃	1	4	yes	—
1598	C₄²	C₂⁴×C₃	1	8	yes	—
1599	C₄²	C₂⁴×C₃	1	8	yes	—
1600	C₂²×C₃	—	2	1	no	—
1601	C₂²×C₃	—	2	1	no	—
1602	C₂²×C₃	—	2	1	no	—
1603	C₂²×C₃	—	2	1	no	—
1604	C₂²×C₃	—	2	1	no	—
1605	C₂²×C₃	—	2	4	no	—
1606	C₂²×C₃	—	2	4	no	—
1607	C₂²×C₃	—	2	4	no	—
1608	C₂²×C₃	—	2	4	no	—
1609	C₂²×C₃	—	2	1	no	—
1610	C₂²×C₃	—	2	4	no	—
1611	C₂²×C₃	—	2	4	no	—
1612	C₂²×C₃	—	2	1	no	—
1613	C₂²×C₃	—	2	4	no	—
1614	C₂²×C₃	—	2	4	no	—
1615	C₂²×C₃	—	2	4	no	—
1616	C₂²×C₃	—	2	4	no	—
1617	C₂²×C₃	—	2	4	no	—
1618	C₂²×C₃	—	2	4	no	—
1619	C₂²×C₃	—	4	4	no	—
1620	C₂²×C₃	—	8	8	no	—
1621	C₂²×C₃	—	8	4	no	—
1622	C₂²×C₃	—	16	8	no	—
1623	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1624	C₂²×C₃	#585	1	2	yes	—
1625	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1626	C₃×C₄	—	2	1	no	—
1627	C₃×C₄	—	2	1	no	—
1628	C₃×C₄	—	2	4	no	—
1629	C₃×C₄	—	2	4	no	—
1630	C₃×C₄	—	2	4	no	—
1631	C₃×C₄	—	2	4	no	—
1632	C₃×C₄	—	2	1	no	—
1633	C₃×C₄	—	2	1	no	—
1634	C₃×C₄	—	2	1	no	—
1635	C₃×C₄	—	2	4	no	—
1636	C₃×C₄	—	2	1	no	—
1637	C₃×C₄	—	2	1	no	—
1638	C₃×C₄	—	2	1	no	—
1639	C₃×C₄	—	2	1	no	—
1640	C₃×C₄	—	2	4	no	—
1641	C₃×C₄	—	2	4	no	—
1642	C₃×C₄	—	2	4	no	—
1643	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1644	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1645	C₃×C₄	#585	1	2	yes	—
1646	C₂³	—	2	2	no	—
1647	C₂³	—	2	2	no	—
1648	C₂³	—	2	4	no	—
1649	C₂³	—	2	8	no	—
1650	C₂³	—	4	1	no	—
1651	C₂³	—	4	4	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	4	no	—
1654	C₂³	—	4	2	no	—
1655	C₂³	—	4	8	no	—
1656	C₂³	—	4	8	no	—
1657	C₂³	—	4	8	no	—
1658	C₂³	C₂⁵×C₃	1	4	yes	—
1659	C₂³	C₂⁵×C₃	1	4	yes	—
1660	C₂³	C₂⁵×C₃	1	4	yes	—
1661	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1662	C₂³	C₂⁵×C₃	1	4	yes	—
1663	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1664	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1665	Q₈	—	2	4	no	—
1666	Q₈	—	2	4	no	—
1667	Q₈	—	2	4	no	—
1668	Q₈	—	2	4	no	—
1669	Q₈	—	2	4	no	—
1670	Q₈	—	2	4	no	—
1671	Q₈	—	4	8	no	—
1672	Q₈	—	4	4	no	—
1673	Q₈	—	4	2	no	—
1674	D₄	—	2	8	no	—
1675	D₄	—	2	8	no	—
1676	D₄	—	2	8	no	—
1677	D₄	—	2	8	no	—
1678	D₄	—	2	8	no	—
1679	D₄	—	2	4	no	—
1680	D₄	—	2	4	no	—
1681	D₄	—	2	4	no	—
1682	D₄	—	2	4	no	—
1683	D₄	—	2	4	no	—
1684	D₄	—	2	4	no	—
1685	D₄	—	2	4	no	—
1686	D₄	—	2	4	no	—
1687	D₄	—	4	8	no	—
1688	D₄	—	4	8	no	—
1689	D₄	—	4	4	no	—
1690	D₄	—	4	4	no	—
1691	D₄	—	4	4	no	—
1692	D₄	—	4	8	no	—
1693	D₄	—	4	4	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	4	4	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	4	4	no	—
1698	D₄	—	4	8	no	—
1699	D₄	—	4	8	no	—
1700	D₄	—	4	8	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	4	4	no	—
1703	D₄	—	4	8	no	—
1704	C₂×C₄	—	2	2	no	—
1705	C₂×C₄	—	2	4	no	—
1706	C₂×C₄	—	2	2	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	2	no	—
1709	C₂×C₄	—	2	2	no	—
1710	C₂×C₄	—	2	2	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	8	no	—
1713	C₂×C₄	—	2	8	no	—
1714	C₂×C₄	—	2	8	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	8	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	4	4	no	—
1720	C₂×C₄	—	4	4	no	—
1721	C₂×C₄	—	4	4	no	—
1722	C₂×C₄	—	4	1	no	—
1723	C₂×C₄	—	4	4	no	—
1724	C₂×C₄	—	4	1	no	—
1725	C₂×C₄	—	4	1	no	—
1726	C₂×C₄	—	4	1	no	—
1727	C₂×C₄	—	4	1	no	—
1728	C₂×C₄	—	4	2	no	—
1729	C₂×C₄	—	4	1	no	—
1730	C₂×C₄	—	4	1	no	—
1731	C₂×C₄	—	4	8	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	8	no	—
1734	C₂×C₄	—	4	8	no	—
1735	C₂×C₄	—	4	8	no	—
1736	C₂×C₄	—	4	4	no	—
1737	C₂×C₄	—	4	4	no	—
1738	C₂×C₄	—	4	8	no	—
1739	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1740	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1741	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1742	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1743	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1744	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1745	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1746	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1747	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1748	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1749	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1750	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1751	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1752	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1753	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1754	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1755	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1756	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1757	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1758	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1759	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1760	C₂×C₃	—	2	2	no	—
1761	C₂×C₃	—	2	2	no	—
1762	C₂×C₃	—	4	1	no	—
1763	C₂×C₃	—	4	4	no	—
1764	C₂×C₃	—	4	4	no	—
1765	C₂×C₃	—	4	4	no	—
1766	C₂×C₃	—	4	4	no	—
1767	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1768	C₂×C₃	C₂×#585	1	1	yes	characteristic
1769	C₂×C₃	C₂×#585	1	1	yes	characteristic
1770	C₂²	—	2	1	no	—
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	4	no	—
1776	C₂²	—	2	4	no	—
1777	C₂²	—	2	4	no	—
1778	C₂²	—	2	4	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	4	no	—
1781	C₂²	—	2	4	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	4	no	—
1784	C₂²	—	2	4	no	—
1785	C₂²	—	2	4	no	—
1786	C₂²	—	2	4	no	—
1787	C₂²	—	2	4	no	—
1788	C₂²	—	2	4	no	—
1789	C₂²	—	4	4	no	—
1790	C₂²	—	8	8	no	—
1791	C₂²	—	8	4	no	—
1792	C₂²	—	16	8	no	—
1793	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1794	C₂²	C₃×#585	1	2	yes	—
1795	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1796	C₄	—	2	1	no	—
1797	C₄	—	2	1	no	—
1798	C₄	—	2	4	no	—
1799	C₄	—	2	4	no	—
1800	C₄	—	2	4	no	—
1801	C₄	—	2	4	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	4	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	4	no	—
1811	C₄	—	2	4	no	—
1812	C₄	—	2	4	no	—
1813	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1814	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1815	C₄	C₃×#585	1	2	yes	—
1816	C₃	#62830	1	1	yes	characteristic, direct product factor, Sylow
1817	C₂	—	2	2	no	—
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	4	no	—
1821	C₂	—	4	4	no	—
1822	C₂	—	4	4	no	—
1823	C₂	—	4	4	no	—
1824	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1825	C₂	C₂×C₃×#585	1	1	yes	characteristic
1826	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×#3562	C₂	semidirect
2. C₃×#3560	C₂	semidirect
3. C₃×#3552	C₂	semidirect
4. C₃×#3551	C₂	semidirect
5. C₃×#3547	C₂	semidirect
6. C₃×#3546	C₂	semidirect
7. C₃×#3543	C₂	semidirect
8. C₃×#3534	C₂	semidirect
9. C₃×#3520	C₂	semidirect
10. C₃×#3519	C₂	semidirect
11. C₃×#3519	C₂	semidirect
12. C₃×#3517	C₂	semidirect
13. C₃×#3514	C₂	semidirect
14. C₃×#3514	C₂	semidirect
15. C₃×#3512	C₂	semidirect
16. C₃×#3507	C₂	semidirect
17. C₃×#3506	C₂	semidirect
18. C₃×#3505	C₂	semidirect
19. C₃×#3500	C₂	semidirect
20. C₃×#3497	C₂	semidirect
21. C₃×#3496	C₂	semidirect
22. C₃×#3494	C₂	semidirect
23. C₃×#3489	C₂	semidirect
24. C₃×#3488	C₂	semidirect
25. C₃×#3444	C₂	semidirect
26. C₂×C₃×#532	C₂	semidirect
27. C₂×C₃×#529	C₂	semidirect
28. #62830	C₃	direct (N × H)
29. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
30. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
31. C₂²×C₃×#41	C₂²	semidirect
32. C₃×#563	C₂²	semidirect
33. C₃×#562	C₂²	semidirect
34. C₃×#560	C₂²	semidirect
35. C₃×#560	C₂²	semidirect
36. C₃×#559	C₂²	semidirect
37. C₃×#559	C₂²	semidirect
38. C₃×#557	C₂²	semidirect
39. C₃×#556	C₂²	semidirect
40. C₃×#556	C₂²	semidirect
41. C₃×#556	C₂²	semidirect
42. C₃×#555	C₂²	semidirect
43. C₃×#555	C₂²	semidirect
44. C₃×#555	C₂²	semidirect
45. C₃×#554	C₂²	semidirect
46. C₃×#554	C₂²	semidirect
47. C₃×#553	C₂²	semidirect
48. C₃×#553	C₂²	semidirect
49. C₃×#553	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×#553	C₂²	semidirect
56. C₃×#552	C₂²	semidirect
57. C₃×#552	C₂²	semidirect
58. C₃×#552	C₂²	semidirect
59. C₃×#551	C₂²	semidirect
60. C₃×#551	C₂²	semidirect
61. C₃×#551	C₂²	semidirect
62. C₃×#551	C₂²	semidirect
63. C₃×#550	C₂²	semidirect
64. C₃×#550	C₂²	semidirect
65. C₃×#550	C₂²	semidirect
66. C₃×#550	C₂²	semidirect
67. C₃×#550	C₂²	semidirect
68. C₃×D₄×Q₈	C₂²	semidirect
69. C₃×D₄×Q₈	C₂²	semidirect
70. C₃×D₄×Q₈	C₂²	semidirect
71. C₃×#548	C₂²	semidirect
72. C₃×#548	C₂²	semidirect
73. C₃×#548	C₂²	semidirect
74. C₃×#548	C₂²	semidirect
75. C₃×#548	C₂²	semidirect
76. C₃×#548	C₂²	semidirect
77. C₃×#547	C₂²	semidirect
78. C₃×#547	C₂²	semidirect
79. C₃×#547	C₂²	semidirect
80. C₃×#547	C₂²	semidirect
81. C₃×#547	C₂²	semidirect
82. C₃×#546	C₂²	semidirect
83. C₃×#546	C₂²	semidirect
84. C₃×#546	C₂²	semidirect
85. C₃×#546	C₂²	semidirect
86. C₃×#546	C₂²	semidirect
87. C₃×#546	C₂²	semidirect
88. C₃×#546	C₂²	semidirect
89. C₃×#546	C₂²	semidirect
90. C₃×#546	C₂²	semidirect
91. C₃×#546	C₂²	semidirect
92. C₃×#546	C₂²	semidirect
93. C₃×#546	C₂²	semidirect
94. C₃×#546	C₂²	semidirect
95. C₃×D₄²	C₂²	semidirect
96. C₃×D₄²	C₂²	semidirect
97. C₃×D₄²	C₂²	semidirect
98. C₃×D₄²	C₂²	semidirect
99. C₃×D₄²	C₂²	semidirect
100. C₃×#544	C₂²	semidirect
101. C₃×#542	C₂²	semidirect
102. C₃×#542	C₂²	semidirect
103. C₃×#542	C₂²	semidirect
104. C₃×#541	C₂²	semidirect
105. C₃×#540	C₂²	semidirect
106. C₃×#540	C₂²	semidirect
107. C₃×#540	C₂²	semidirect
108. C₃×#540	C₂²	semidirect
109. C₃×#540	C₂²	semidirect
110. C₃×#539	C₂²	semidirect
111. C₃×#539	C₂²	semidirect
112. C₃×#539	C₂²	semidirect
113. C₃×#538	C₂²	semidirect
114. C₃×#538	C₂²	semidirect
115. C₃×#538	C₂²	semidirect
116. C₃×#538	C₂²	semidirect
117. C₃×#538	C₂²	semidirect
118. C₃×#538	C₂²	semidirect
119. C₃×#537	C₂²	semidirect
120. C₃×#537	C₂²	semidirect
121. C₃×#537	C₂²	semidirect
122. C₃×#537	C₂²	semidirect
123. C₃×#537	C₂²	semidirect
124. C₃×#536	C₂²	semidirect
125. C₃×#536	C₂²	semidirect
126. C₃×#536	C₂²	semidirect
127. C₃×#535	C₂²	semidirect
128. C₃×#535	C₂²	semidirect
129. C₃×#535	C₂²	semidirect
130. C₃×#535	C₂²	semidirect
131. C₃×#534	C₂²	semidirect
132. C₃×#534	C₂²	semidirect
133. C₃×#533	C₂²	semidirect
134. C₃×#533	C₂²	semidirect
135. C₃×#533	C₂²	semidirect
137. C₃×#532	C₂²	semidirect
138. C₃×#532	C₂²	semidirect
139. C₃×#532	C₂²	semidirect
140. C₃×#532	C₂²	semidirect
141. C₃×#532	C₂²	semidirect
142. C₃×#532	C₂²	semidirect
143. C₃×#532	C₂²	semidirect
144. C₃×#532	C₂²	semidirect
145. C₃×#532	C₂²	semidirect
146. C₃×#532	C₂²	semidirect
147. C₃×#532	C₂²	semidirect
148. C₃×#532	C₂²	semidirect
149. C₃×#532	C₂²	semidirect
150. C₃×#532	C₂²	semidirect
151. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
152. C₂×C₃×#127	C₂²	semidirect
153. C₃×#529	C₂²	semidirect
154. C₃×#529	C₂²	semidirect
155. C₃×#529	C₂²	semidirect
156. C₃×#529	C₂²	semidirect
157. C₃×#529	C₂²	semidirect
158. C₃×#529	C₂²	semidirect
159. C₃×#529	C₂²	semidirect
160. C₃×#529	C₂²	semidirect
161. C₃×#529	C₂²	semidirect
162. C₃×#529	C₂²	semidirect
163. C₃×#529	C₂²	semidirect
164. C₃×#529	C₂²	semidirect
165. C₃×#529	C₂²	semidirect
166. C₃×#529	C₂²	semidirect
167. C₃×#529	C₂²	semidirect
168. C₃×#529	C₂²	semidirect
169. C₃×#529	C₂²	semidirect
170. C₂×C₃×#126	C₂²	semidirect
171. C₂×C₃×#125	C₂²	semidirect
172. C₂×C₃×#124	C₂²	semidirect
173. C₂×C₃×#124	C₂²	semidirect
174. C₂×C₃×#124	C₂²	semidirect
175. C₃×#525	C₂²	semidirect
176. C₃×#525	C₂²	semidirect
177. C₃×#525	C₂²	semidirect
178. C₃×#525	C₂²	semidirect
179. C₃×#525	C₂²	semidirect
180. C₃×#525	C₂²	semidirect
181. C₂×C₃×#123	C₂²	semidirect
182. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
183. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
185. C₂×C₃×#121	C₂²	semidirect
186. C₂×C₃×#121	C₂²	semidirect
187. C₂×C₃×#121	C₂²	semidirect
188. C₂×C₃×#121	C₂²	semidirect
189. C₃×#520	C₂²	semidirect
190. C₃×#520	C₂²	semidirect
191. C₃×#520	C₂²	semidirect
192. C₃×#518	C₂²	semidirect
193. C₃×#518	C₂²	semidirect
194. C₃×C₄×#41	C₂²	semidirect
195. C₃×C₄×#41	C₂²	semidirect
196. C₃×C₄×#41	C₂²	semidirect
197. C₂×C₃×C₄×Q₈	C₂²	semidirect
198. C₂×C₃×C₄×D₄	C₂²	semidirect
199. C₂×C₃×C₄×D₄	C₂²	semidirect
200. C₂×C₃×C₄×D₄	C₂²	semidirect
201. C₂×C₃×C₄×D₄	C₂²	semidirect
202. C₂×C₃×#117	C₂²	semidirect
203. C₂²×C₃×C₄²	C₂²	semidirect
204. #3562	C₂×C₃	semidirect
205. #3560	C₂×C₃	semidirect
206. #3552	C₂×C₃	semidirect
207. #3551	C₂×C₃	semidirect
208. #3547	C₂×C₃	semidirect
209. #3546	C₂×C₃	semidirect
210. #3543	C₂×C₃	semidirect
211. #3534	C₂×C₃	semidirect
212. #3520	C₂×C₃	semidirect
213. #3519	C₂×C₃	semidirect
214. #3519	C₂×C₃	semidirect
215. #3517	C₂×C₃	semidirect
216. #3514	C₂×C₃	semidirect
217. #3514	C₂×C₃	semidirect
218. #3512	C₂×C₃	semidirect
219. #3507	C₂×C₃	semidirect
220. #3506	C₂×C₃	semidirect
221. #3505	C₂×C₃	semidirect
222. #3500	C₂×C₃	semidirect
223. #3497	C₂×C₃	semidirect
224. #3496	C₂×C₃	semidirect
225. #3494	C₂×C₃	semidirect
226. #3489	C₂×C₃	semidirect
227. #3488	C₂×C₃	semidirect
228. #3444	C₂×C₃	semidirect
229. C₂×#532	C₂×C₃	semidirect
230. C₂×#529	C₂×C₃	semidirect
561. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
562. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
563. C₂²×#41	C₂²×C₃	semidirect
564. #563	C₂²×C₃	semidirect
565. #562	C₂²×C₃	semidirect
566. #560	C₂²×C₃	semidirect
567. #560	C₂²×C₃	semidirect
568. #559	C₂²×C₃	semidirect
569. #559	C₂²×C₃	semidirect
570. #557	C₂²×C₃	semidirect
571. #556	C₂²×C₃	semidirect
572. #556	C₂²×C₃	semidirect
573. #556	C₂²×C₃	semidirect
574. #555	C₂²×C₃	semidirect
575. #555	C₂²×C₃	semidirect
576. #555	C₂²×C₃	semidirect
577. #554	C₂²×C₃	semidirect
578. #554	C₂²×C₃	semidirect
579. #553	C₂²×C₃	semidirect
580. #553	C₂²×C₃	semidirect
581. #553	C₂²×C₃	semidirect
582. #553	C₂²×C₃	semidirect
583. #553	C₂²×C₃	semidirect
584. #553	C₂²×C₃	semidirect
585. #553	C₂²×C₃	semidirect
586. #553	C₂²×C₃	semidirect
587. #553	C₂²×C₃	semidirect
588. #552	C₂²×C₃	semidirect
589. #552	C₂²×C₃	semidirect
590. #552	C₂²×C₃	semidirect
591. #551	C₂²×C₃	semidirect
592. #551	C₂²×C₃	semidirect
593. #551	C₂²×C₃	semidirect
594. #551	C₂²×C₃	semidirect
595. #550	C₂²×C₃	semidirect
596. #550	C₂²×C₃	semidirect
597. #550	C₂²×C₃	semidirect
598. #550	C₂²×C₃	semidirect
599. #550	C₂²×C₃	semidirect
600. D₄×Q₈	C₂²×C₃	semidirect
601. D₄×Q₈	C₂²×C₃	semidirect
602. D₄×Q₈	C₂²×C₃	semidirect
603. #548	C₂²×C₃	semidirect
604. #548	C₂²×C₃	semidirect
605. #548	C₂²×C₃	semidirect
606. #548	C₂²×C₃	semidirect
607. #548	C₂²×C₃	semidirect
608. #548	C₂²×C₃	semidirect
609. #547	C₂²×C₃	semidirect
610. #547	C₂²×C₃	semidirect
611. #547	C₂²×C₃	semidirect
612. #547	C₂²×C₃	semidirect
613. #547	C₂²×C₃	semidirect
614. #546	C₂²×C₃	semidirect
615. #546	C₂²×C₃	semidirect
616. #546	C₂²×C₃	semidirect
617. #546	C₂²×C₃	semidirect
618. #546	C₂²×C₃	semidirect
619. #546	C₂²×C₃	semidirect
620. #546	C₂²×C₃	semidirect
621. #546	C₂²×C₃	semidirect
622. #546	C₂²×C₃	semidirect
623. #546	C₂²×C₃	semidirect
624. #546	C₂²×C₃	semidirect
625. #546	C₂²×C₃	semidirect
626. #546	C₂²×C₃	semidirect
627. D₄²	C₂²×C₃	semidirect
628. D₄²	C₂²×C₃	semidirect
629. D₄²	C₂²×C₃	semidirect
630. D₄²	C₂²×C₃	semidirect
631. D₄²	C₂²×C₃	semidirect
632. #544	C₂²×C₃	semidirect
633. #542	C₂²×C₃	semidirect
634. #542	C₂²×C₃	semidirect
635. #542	C₂²×C₃	semidirect
636. #541	C₂²×C₃	semidirect
637. #540	C₂²×C₃	semidirect
638. #540	C₂²×C₃	semidirect
639. #540	C₂²×C₃	semidirect
640. #540	C₂²×C₃	semidirect
641. #540	C₂²×C₃	semidirect
642. #539	C₂²×C₃	semidirect
643. #539	C₂²×C₃	semidirect
644. #539	C₂²×C₃	semidirect
645. #538	C₂²×C₃	semidirect
646. #538	C₂²×C₃	semidirect
647. #538	C₂²×C₃	semidirect
648. #538	C₂²×C₃	semidirect
649. #538	C₂²×C₃	semidirect
650. #538	C₂²×C₃	semidirect
651. #537	C₂²×C₃	semidirect
652. #537	C₂²×C₃	semidirect
653. #537	C₂²×C₃	semidirect
654. #537	C₂²×C₃	semidirect
655. #537	C₂²×C₃	semidirect
656. #536	C₂²×C₃	semidirect
657. #536	C₂²×C₃	semidirect
658. #536	C₂²×C₃	semidirect
659. #535	C₂²×C₃	semidirect
660. #535	C₂²×C₃	semidirect
661. #535	C₂²×C₃	semidirect
662. #535	C₂²×C₃	semidirect
663. #534	C₂²×C₃	semidirect
664. #534	C₂²×C₃	semidirect
665. #533	C₂²×C₃	semidirect
666. #533	C₂²×C₃	semidirect
667. #533	C₂²×C₃	semidirect
669. #532	C₂²×C₃	semidirect
670. #532	C₂²×C₃	semidirect
671. #532	C₂²×C₃	semidirect
672. #532	C₂²×C₃	semidirect
673. #532	C₂²×C₃	semidirect
674. #532	C₂²×C₃	semidirect
675. #532	C₂²×C₃	semidirect
676. #532	C₂²×C₃	semidirect
677. #532	C₂²×C₃	semidirect
678. #532	C₂²×C₃	semidirect
679. #532	C₂²×C₃	semidirect
680. #532	C₂²×C₃	semidirect
681. #532	C₂²×C₃	semidirect
682. #532	C₂²×C₃	semidirect
683. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
684. C₂×#127	C₂²×C₃	semidirect
685. #529	C₂²×C₃	semidirect
686. #529	C₂²×C₃	semidirect
687. #529	C₂²×C₃	semidirect
688. #529	C₂²×C₃	semidirect
689. #529	C₂²×C₃	semidirect
690. #529	C₂²×C₃	semidirect
691. #529	C₂²×C₃	semidirect
692. #529	C₂²×C₃	semidirect
693. #529	C₂²×C₃	semidirect
694. #529	C₂²×C₃	semidirect
695. #529	C₂²×C₃	semidirect
696. #529	C₂²×C₃	semidirect
697. #529	C₂²×C₃	semidirect
698. #529	C₂²×C₃	semidirect
699. #529	C₂²×C₃	semidirect
700. #529	C₂²×C₃	semidirect
701. #529	C₂²×C₃	semidirect
702. C₂×#126	C₂²×C₃	semidirect
703. C₂×#125	C₂²×C₃	semidirect
704. C₂×#124	C₂²×C₃	semidirect
705. C₂×#124	C₂²×C₃	semidirect
706. C₂×#124	C₂²×C₃	semidirect
707. #525	C₂²×C₃	semidirect
708. #525	C₂²×C₃	semidirect
709. #525	C₂²×C₃	semidirect
710. #525	C₂²×C₃	semidirect
711. #525	C₂²×C₃	semidirect
712. #525	C₂²×C₃	semidirect
713. C₂×#123	C₂²×C₃	semidirect
714. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
715. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
717. C₂×#121	C₂²×C₃	semidirect
718. C₂×#121	C₂²×C₃	semidirect
719. C₂×#121	C₂²×C₃	semidirect
720. C₂×#121	C₂²×C₃	semidirect
721. #520	C₂²×C₃	semidirect
722. #520	C₂²×C₃	semidirect
723. #520	C₂²×C₃	semidirect
724. #518	C₂²×C₃	semidirect
725. #518	C₂²×C₃	semidirect
726. C₄×#41	C₂²×C₃	semidirect
727. C₄×#41	C₂²×C₃	semidirect
728. C₄×#41	C₂²×C₃	semidirect
729. C₂×C₄×Q₈	C₂²×C₃	semidirect
730. C₂×C₄×D₄	C₂²×C₃	semidirect
731. C₂×C₄×D₄	C₂²×C₃	semidirect
732. C₂×C₄×D₄	C₂²×C₃	semidirect
733. C₂×C₄×D₄	C₂²×C₃	semidirect
734. C₂×#117	C₂²×C₃	semidirect
735. C₂²×C₄²	C₂²×C₃	semidirect
1816. C₃	#62830	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×#3562	2
C₃×#3560	2
C₃×#3552	2
C₃×#3551	2
C₃×#3547	2
C₃×#3546	2
C₃×#3543	2
C₃×#3534	2
C₃×#3520	2
C₃×#3519	2
C₃×#3517	2
C₃×#3514	2
C₃×#3512	2
C₃×#3507	2
C₃×#3506	2
C₃×#3505	2
C₃×#3500	2
C₃×#3497	2
C₃×#3496	2
C₃×#3494	2
C₃×#3489	2
C₃×#3488	2
C₃×#3444	2
C₂×C₃×#532	2
C₂×C₃×#529	2
#62830	3

Subgroups — C3×#62830 #10681437

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62830 #10681437