Subgroups — C₃×#63013 #10681620

Order 768.

7176 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3559	C₂	1	4	yes	maximal, complemented
2	C₃×#3554	C₂	1	2	yes	maximal, complemented
3	C₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₃×#3548	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3544	C₂	1	2	yes	maximal, complemented
6	C₃×#3541	C₂	1	4	yes	maximal, complemented
7	C₃×#3536	C₂	1	4	yes	maximal, complemented
8	C₃×#3535	C₂	1	8	yes	maximal, complemented
9	C₃×#3522	C₂	1	2	yes	maximal, complemented
10	C₃×#3520	C₂	1	2	yes	maximal, complemented
11	C₃×#3520	C₂	1	2	yes	maximal, complemented
12	C₃×#3519	C₂	1	2	yes	maximal, complemented
13	C₃×#3515	C₂	1	2	yes	maximal, complemented
14	C₃×#3513	C₂	1	4	yes	maximal, complemented
15	C₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3501	C₂	1	2	yes	maximal, complemented
18	C₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3492	C₂	1	4	yes	maximal, complemented
20	C₃×#3489	C₂	1	4	yes	maximal, complemented
21	C₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#554	C₂	1	2	yes	maximal, complemented
25	C₃×D₄×#41	C₂	1	2	yes	maximal, complemented
26	C₂×C₃×#547	C₂	1	2	yes	maximal, complemented
27	#63013	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
28	C₂×C₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
29	C₂²×C₃×#41	C₂²	1	4	yes	complemented
30	C₃×#563	C₂²	1	8	yes	complemented
31	C₃×#563	C₂²	1	8	yes	complemented
32	C₃×#562	C₂²	1	4	yes	complemented
33	C₃×#562	C₂²	1	8	yes	complemented
34	C₃×#562	C₂²	1	8	yes	complemented
35	C₃×#559	C₂²	1	1	yes	characteristic, complemented
36	C₃×#559	C₂²	1	1	yes	characteristic, complemented
37	C₃×#559	C₂²	1	4	yes	complemented
38	C₃×Q₈²	C₂²	1	2	yes	complemented
39	C₃×#557	C₂²	1	1	yes	characteristic, complemented
40	C₃×#557	C₂²	1	2	yes	complemented
41	C₃×#556	C₂²	1	1	yes	characteristic, complemented
42	C₃×#556	C₂²	1	2	yes	complemented
43	C₃×#556	C₂²	1	2	yes	complemented
44	C₃×#555	C₂²	1	2	yes	complemented
45	C₃×#554	C₂²	1	1	yes	characteristic
46	C₃×#554	C₂²	1	4	yes	—
47	C₃×#554	C₂²	1	2	yes	—
48	C₃×#554	C₂²	1	1	yes	characteristic
49	C₃×#554	C₂²	1	4	yes	complemented
50	C₃×#554	C₂²	1	2	yes	complemented
51	C₃×#554	C₂²	1	8	yes	complemented
52	C₃×#554	C₂²	1	4	yes	complemented
53	C₃×#554	C₂²	1	2	yes	complemented
54	C₃×#554	C₂²	1	4	yes	complemented
55	C₃×#554	C₂²	1	1	yes	characteristic, complemented
56	C₃×#554	C₂²	1	1	yes	characteristic, complemented
57	C₃×#554	C₂²	1	8	yes	complemented
58	C₃×#554	C₂²	1	4	yes	complemented
59	C₃×#554	C₂²	1	2	yes	complemented
60	C₃×#554	C₂²	1	4	yes	complemented
61	C₃×#554	C₂²	1	4	yes	complemented
62	C₃×#553	C₂²	1	2	yes	complemented
63	C₃×#553	C₂²	1	2	yes	complemented
64	C₃×#553	C₂²	1	2	yes	complemented
65	C₃×#553	C₂²	1	2	yes	complemented
66	C₃×#553	C₂²	1	8	yes	complemented
67	C₃×#553	C₂²	1	4	yes	complemented
68	C₃×#553	C₂²	1	4	yes	complemented
69	C₃×#553	C₂²	1	4	yes	complemented
70	C₃×#552	C₂²	1	2	yes	complemented
71	C₃×#552	C₂²	1	4	yes	complemented
72	C₃×#552	C₂²	1	8	yes	complemented
73	C₃×#552	C₂²	1	4	yes	complemented
74	C₃×#552	C₂²	1	4	yes	complemented
75	C₃×#552	C₂²	1	4	yes	complemented
76	C₃×#551	C₂²	1	4	yes	complemented
77	C₃×#551	C₂²	1	4	yes	complemented
78	C₃×#551	C₂²	1	8	yes	complemented
79	C₃×#551	C₂²	1	8	yes	complemented
80	C₃×#550	C₂²	1	2	yes	complemented
81	C₃×#550	C₂²	1	2	yes	complemented
82	C₃×D₄×Q₈	C₂²	1	2	yes	—
83	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
84	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
85	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
86	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
87	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
88	C₃×#548	C₂²	1	4	yes	complemented
89	C₃×#548	C₂²	1	2	yes	complemented
90	C₃×#548	C₂²	1	4	yes	complemented
91	C₃×#548	C₂²	1	4	yes	complemented
92	C₃×#548	C₂²	1	4	yes	complemented
93	C₃×#547	C₂²	1	1	yes	characteristic
94	C₃×#547	C₂²	1	4	yes	complemented
95	C₃×#547	C₂²	1	4	yes	complemented
96	C₃×#547	C₂²	1	2	yes	complemented
97	C₃×#547	C₂²	1	2	yes	complemented
98	C₃×#547	C₂²	1	8	yes	complemented
99	C₃×#547	C₂²	1	4	yes	complemented
100	C₃×#547	C₂²	1	4	yes	complemented
101	C₃×#547	C₂²	1	2	yes	complemented
102	C₃×#547	C₂²	1	2	yes	complemented
103	C₃×#547	C₂²	1	4	yes	complemented
104	C₃×#547	C₂²	1	2	yes	complemented
105	C₃×#547	C₂²	1	8	yes	complemented
106	C₃×#547	C₂²	1	8	yes	complemented
107	C₃×#547	C₂²	1	4	yes	complemented
108	C₃×#547	C₂²	1	4	yes	complemented
109	C₃×#547	C₂²	1	2	yes	complemented
110	C₃×#546	C₂²	1	2	yes	—
111	C₃×#546	C₂²	1	2	yes	—
112	C₃×#546	C₂²	1	4	yes	complemented
113	C₃×#546	C₂²	1	8	yes	complemented
114	C₃×#546	C₂²	1	2	yes	complemented
115	C₃×#546	C₂²	1	2	yes	complemented
116	C₃×#546	C₂²	1	8	yes	complemented
117	C₃×#546	C₂²	1	8	yes	complemented
118	C₃×#546	C₂²	1	4	yes	complemented
119	C₃×D₄²	C₂²	1	1	yes	characteristic
120	C₃×D₄²	C₂²	1	4	yes	—
121	C₃×D₄²	C₂²	1	1	yes	characteristic
122	C₃×#544	C₂²	1	4	yes	complemented
123	C₃×#544	C₂²	1	4	yes	complemented
124	C₃×#544	C₂²	1	4	yes	complemented
125	C₃×#544	C₂²	1	2	yes	complemented
126	C₃×#543	C₂²	1	8	yes	complemented
127	C₃×#542	C₂²	1	4	yes	complemented
128	C₃×#542	C₂²	1	4	yes	complemented
129	C₃×#542	C₂²	1	4	yes	complemented
130	C₃×#542	C₂²	1	4	yes	complemented
131	C₃×#542	C₂²	1	8	yes	complemented
132	C₃×#542	C₂²	1	4	yes	complemented
133	C₃×#541	C₂²	1	4	yes	complemented
134	C₃×#540	C₂²	1	4	yes	complemented
135	C₃×#540	C₂²	1	4	yes	complemented
136	C₃×#539	C₂²	1	8	yes	complemented
137	C₃×#539	C₂²	1	8	yes	complemented
138	C₃×#539	C₂²	1	8	yes	complemented
139	C₃×#539	C₂²	1	8	yes	complemented
140	C₃×#539	C₂²	1	8	yes	complemented
141	C₃×#539	C₂²	1	8	yes	complemented
142	C₃×#538	C₂²	1	8	yes	complemented
143	C₃×#538	C₂²	1	8	yes	complemented
144	C₃×#537	C₂²	1	8	yes	complemented
145	C₃×#537	C₂²	1	4	yes	complemented
146	C₃×#537	C₂²	1	4	yes	complemented
147	C₃×#537	C₂²	1	2	yes	complemented
148	C₃×#536	C₂²	1	8	yes	complemented
149	C₃×#536	C₂²	1	4	yes	complemented
150	C₃×#536	C₂²	1	4	yes	complemented
151	C₃×#536	C₂²	1	2	yes	complemented
152	C₃×#533	C₂²	1	2	yes	complemented
153	C₃×#533	C₂²	1	1	yes	characteristic, complemented
154	C₃×#533	C₂²	1	2	yes	complemented
155	C₃×#533	C₂²	1	2	yes	complemented
156	C₃×#532	C₂²	1	2	yes	complemented
157	C₃×#532	C₂²	1	4	yes	complemented
158	C₃×#532	C₂²	1	1	yes	characteristic, complemented
159	C₃×#532	C₂²	1	1	yes	characteristic, complemented
160	C₃×#532	C₂²	1	2	yes	complemented
161	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
162	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
163	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, 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	2	yes	complemented
168	C₃×#529	C₂²	1	4	yes	complemented
169	C₃×#529	C₂²	1	2	yes	complemented
170	C₃×#529	C₂²	1	4	yes	complemented
171	C₂×C₃×#125	C₂²	1	4	yes	complemented
172	C₃×#525	C₂²	1	8	yes	complemented
173	C₃×#525	C₂²	1	4	yes	complemented
174	C₃×#525	C₂²	1	4	yes	complemented
175	C₃×#525	C₂²	1	4	yes	complemented
176	C₃×#525	C₂²	1	8	yes	complemented
177	C₃×#525	C₂²	1	4	yes	complemented
178	C₂×C₃×#123	C₂²	1	8	yes	complemented
179	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
180	C₂×C₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
181	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
182	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
183	C₂×C₃×#121	C₂²	1	4	yes	complemented
184	C₃×#520	C₂²	1	2	yes	—
185	C₃×#520	C₂²	1	4	yes	complemented
186	C₃×#520	C₂²	1	2	yes	complemented
187	C₃×#520	C₂²	1	4	yes	complemented
188	C₃×#518	C₂²	1	4	yes	—
189	C₃×C₄×#41	C₂²	1	1	yes	characteristic
190	C₃×C₄×#41	C₂²	1	2	yes	complemented
191	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
192	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
194	C₂×C₃×C₄×D₄	C₂²	1	4	yes	—
195	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
196	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
197	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
198	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
199	C₂²×C₃×C₄⋊C₄	C₂²	1	4	yes	complemented
200	#3559	C₂×C₃	1	4	yes	complemented
201	#3554	C₂×C₃	1	2	yes	complemented
202	#3552	C₂×C₃	1	2	yes	complemented
203	#3548	C₂×C₃	1	1	yes	characteristic, complemented
204	#3544	C₂×C₃	1	2	yes	complemented
205	#3541	C₂×C₃	1	4	yes	complemented
206	#3536	C₂×C₃	1	4	yes	complemented
207	#3535	C₂×C₃	1	8	yes	complemented
208	#3522	C₂×C₃	1	2	yes	complemented
209	#3520	C₂×C₃	1	2	yes	complemented
210	#3520	C₂×C₃	1	2	yes	complemented
211	#3519	C₂×C₃	1	2	yes	complemented
212	#3515	C₂×C₃	1	2	yes	complemented
213	#3513	C₂×C₃	1	4	yes	complemented
214	#3511	C₂×C₃	1	1	yes	characteristic, complemented
215	#3503	C₂×C₃	1	1	yes	characteristic, complemented
216	#3501	C₂×C₃	1	2	yes	complemented
217	#3499	C₂×C₃	1	1	yes	characteristic, complemented
218	#3492	C₂×C₃	1	4	yes	complemented
219	#3489	C₂×C₃	1	4	yes	complemented
220	#3482	C₂×C₃	1	1	yes	characteristic, complemented
221	#3481	C₂×C₃	1	1	yes	characteristic, complemented
222	#3481	C₂×C₃	1	1	yes	characteristic, complemented
223	C₂×#554	C₂×C₃	1	2	yes	complemented
224	D₄×#41	C₂×C₃	1	2	yes	complemented
225	C₂×#547	C₂×C₃	1	2	yes	complemented
226	C₃×2₋¹⁺⁴	—	4	8	no	—
227	C₂×C₃×#41	—	4	16	no	—
228	C₂×C₃×#41	C₂³	1	2	yes	—
229	C₂×C₃×#41	C₂³	1	4	yes	—
230	C₂×C₃×#41	C₂³	1	1	yes	characteristic
231	C₂×C₃×#41	C₂³	1	1	yes	characteristic
232	C₂×C₃×#41	C₂³	1	8	yes	—
233	C₂×C₃×#41	C₂³	1	4	yes	—
234	C₂×C₃×#41	C₂³	1	8	yes	—
235	C₂×C₃×#41	C₂³	1	4	yes	—
236	C₂×C₃×#41	C₂³	1	2	yes	—
237	C₂×C₃×#41	C₂³	1	8	yes	—
238	C₂×C₃×#41	C₂³	1	4	yes	—
239	C₂×C₃×#41	C₂³	1	1	yes	characteristic
240	C₂×C₃×#41	C₂³	1	2	yes	—
241	C₂×C₃×#41	C₂³	1	4	yes	—
242	C₂²×C₃×Q₈	C₂³	1	4	yes	—
243	C₂²×C₃×Q₈	C₂³	1	4	yes	—
244	C₂²×C₃×Q₈	C₂³	1	4	yes	—
245	C₂²×C₃×Q₈	C₂³	1	2	yes	—
246	C₂²×C₃×Q₈	C₂³	1	2	yes	—
247	C₂²×C₃×D₄	C₂³	1	2	yes	—
248	C₂²×C₃×D₄	C₂³	1	2	yes	—
249	C₂²×C₃×D₄	C₂³	1	2	yes	—
250	C₂²×C₃×D₄	C₂³	1	8	yes	—
251	C₂²×C₃×D₄	C₂³	1	2	yes	—
252	C₂³×C₃×C₄	C₂³	1	8	yes	—
253	C₂³×C₃×C₄	C₂³	1	4	yes	—
254	C₂³×C₃×C₄	C₂³	1	4	yes	—
255	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
256	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
257	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
258	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
259	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
260	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
261	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
262	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
265	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
266	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
267	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
268	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
269	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
270	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#127	C₂³	1	1	yes	characteristic
275	C₃×#127	C₂³	1	1	yes	characteristic
276	C₃×#127	C₂³	1	4	yes	—
277	C₃×#126	C₂³	1	4	yes	—
278	C₃×#126	C₂³	1	4	yes	—
279	C₃×#126	C₂³	1	4	yes	—
280	C₃×#126	C₂³	1	4	yes	—
281	C₃×#126	C₂³	1	8	yes	—
282	C₃×#126	C₂³	1	8	yes	—
283	C₃×#126	C₂³	1	8	yes	—
284	C₃×#126	C₂³	1	8	yes	—
285	C₃×#126	C₂³	1	8	yes	—
286	C₃×#126	C₂³	1	4	yes	—
287	C₃×#126	C₂³	1	4	yes	—
288	C₃×#126	C₂³	1	4	yes	—
289	C₃×#125	C₂³	1	2	yes	—
290	C₃×#125	C₂³	1	8	yes	—
291	C₃×#125	C₂³	1	8	yes	—
292	C₃×#125	C₂³	1	4	yes	—
293	C₃×#125	C₂³	1	8	yes	—
294	C₃×#125	C₂³	1	8	yes	—
295	C₃×#125	C₂³	1	2	yes	—
296	C₃×#125	C₂³	1	4	yes	—
297	C₃×#125	C₂³	1	8	yes	—
298	C₃×#125	C₂³	1	4	yes	—
299	C₃×#125	C₂³	1	4	yes	—
300	C₃×#125	C₂³	1	2	yes	—
301	C₃×#125	C₂³	1	2	yes	—
302	C₃×#125	C₂³	1	2	yes	—
303	C₃×#125	C₂³	1	2	yes	—
304	C₃×#125	C₂³	1	4	yes	—
305	C₃×#125	C₂³	1	4	yes	—
306	C₃×#124	C₂³	1	2	yes	—
307	C₃×#124	C₂³	1	2	yes	—
308	C₃×#124	C₂³	1	8	yes	—
309	C₃×#124	C₂³	1	2	yes	—
310	C₃×#124	C₂³	1	2	yes	—
311	C₃×#124	C₂³	1	4	yes	—
312	C₃×#124	C₂³	1	2	yes	—
313	C₃×#124	C₂³	1	2	yes	—
314	C₃×#124	C₂³	1	8	yes	—
315	C₃×#124	C₂³	1	8	yes	—
316	C₃×#124	C₂³	1	8	yes	—
317	C₃×#124	C₂³	1	2	yes	—
318	C₃×#124	C₂³	1	4	yes	—
319	C₃×#124	C₂³	1	4	yes	—
320	C₃×#123	C₂³	1	4	yes	—
321	C₃×#123	C₂³	1	8	yes	—
322	C₃×#123	C₂³	1	8	yes	—
323	C₃×#123	C₂³	1	4	yes	—
324	C₃×#123	C₂³	1	4	yes	—
325	C₃×#123	C₂³	1	4	yes	—
326	C₃×#123	C₂³	1	8	yes	—
327	C₃×#123	C₂³	1	8	yes	—
328	C₃×#123	C₂³	1	8	yes	—
329	C₃×#123	C₂³	1	8	yes	—
330	C₃×#123	C₂³	1	8	yes	—
331	C₃×#123	C₂³	1	8	yes	—
332	C₃×#123	C₂³	1	8	yes	—
333	C₃×#123	C₂³	1	4	yes	—
334	C₃×#123	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	4	yes	—
343	C₃×#123	C₂³	1	4	yes	—
344	C₃×#123	C₂³	1	4	yes	—
345	C₃×#123	C₂³	1	4	yes	—
346	C₃×#123	C₂³	1	4	yes	—
347	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
354	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
356	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
358	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
359	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
361	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
363	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
366	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
367	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
368	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
369	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
371	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
372	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
374	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
375	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
376	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
377	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
378	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
379	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
380	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
381	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
382	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
383	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
384	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
385	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
386	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
387	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
388	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
389	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
390	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
391	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
392	C₃×#121	C₂³	1	8	yes	—
393	C₃×#121	C₂³	1	4	yes	—
394	C₃×#121	C₂³	1	8	yes	—
395	C₃×#121	C₂³	1	4	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	8	yes	—
400	C₃×#121	C₂³	1	2	yes	—
401	C₃×#121	C₂³	1	4	yes	—
402	C₃×#121	C₂³	1	8	yes	—
403	C₃×#121	C₂³	1	4	yes	—
404	C₃×#121	C₂³	1	4	yes	—
405	C₃×#121	C₂³	1	4	yes	—
406	C₃×#121	C₂³	1	2	yes	—
407	C₃×#121	C₂³	1	2	yes	—
408	C₃×#121	C₂³	1	8	yes	—
409	C₃×#121	C₂³	1	4	yes	—
410	C₃×#121	C₂³	1	4	yes	—
411	C₃×#121	C₂³	1	4	yes	—
412	C₃×#121	C₂³	1	8	yes	—
413	C₃×#121	C₂³	1	2	yes	—
414	C₃×#121	C₂³	1	4	yes	—
415	C₃×#121	C₂³	1	4	yes	—
416	C₃×#121	C₂³	1	2	yes	—
417	C₃×#121	C₂³	1	2	yes	—
418	C₃×#121	C₂³	1	2	yes	—
419	C₃×#121	C₂³	1	8	yes	—
420	C₃×#121	C₂³	1	2	yes	—
421	C₃×#121	C₂³	1	2	yes	—
422	C₃×#121	C₂³	1	4	yes	—
423	C₃×#120	C₂³	1	4	yes	—
424	C₃×#120	C₂³	1	8	yes	—
425	C₃×#120	C₂³	1	4	yes	—
426	C₃×#120	C₂³	1	4	yes	—
427	C₃×#120	C₂³	1	8	yes	—
428	C₃×#120	C₂³	1	4	yes	—
429	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
430	C₃×C₄×Q₈	C₂³	1	4	yes	—
431	C₃×C₄×Q₈	C₂³	1	2	yes	—
432	C₃×C₄×Q₈	C₂³	1	4	yes	—
433	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
434	C₃×C₄×Q₈	C₂³	1	4	yes	—
435	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
436	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
437	C₃×C₄×Q₈	C₂³	1	2	yes	—
438	C₃×C₄×Q₈	C₂³	1	2	yes	—
439	C₃×C₄×Q₈	C₂³	1	4	yes	—
440	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
441	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
442	C₃×C₄×Q₈	C₂³	1	2	yes	—
443	C₃×C₄×Q₈	C₂³	1	2	yes	—
444	C₃×C₄×Q₈	C₂³	1	4	yes	—
445	C₃×C₄×Q₈	C₂³	1	4	yes	—
446	C₃×C₄×Q₈	C₂³	1	4	yes	—
447	C₃×C₄×D₄	C₂³	1	2	yes	—
448	C₃×C₄×D₄	C₂³	1	4	yes	—
449	C₃×C₄×D₄	C₂³	1	2	yes	—
450	C₃×C₄×D₄	C₂³	1	2	yes	—
451	C₃×C₄×D₄	C₂³	1	2	yes	—
452	C₃×C₄×D₄	C₂³	1	4	yes	—
453	C₃×C₄×D₄	C₂³	1	8	yes	—
454	C₃×C₄×D₄	C₂³	1	2	yes	—
455	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
456	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
457	C₃×C₄×D₄	C₂³	1	2	yes	—
458	C₃×C₄×D₄	C₂³	1	4	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	2	yes	—
464	C₃×C₄×D₄	C₂³	1	2	yes	—
465	C₃×C₄×D₄	C₂³	1	4	yes	—
466	C₃×C₄×D₄	C₂³	1	8	yes	—
467	C₃×C₄×D₄	C₂³	1	4	yes	—
468	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
469	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
470	C₃×C₄×D₄	C₂³	1	2	yes	—
471	C₃×C₄×D₄	C₂³	1	4	yes	—
472	C₃×C₄×D₄	C₂³	1	4	yes	—
473	C₃×C₄×D₄	C₂³	1	2	yes	—
474	C₃×C₄×D₄	C₂³	1	2	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	1	yes	characteristic
481	C₃×C₄×D₄	C₂³	1	2	yes	—
482	C₃×C₄×D₄	C₂³	1	2	yes	—
483	C₃×C₄×D₄	C₂³	1	2	yes	—
484	C₃×C₄×D₄	C₂³	1	4	yes	—
485	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
486	C₃×C₄×D₄	C₂³	1	2	yes	—
487	C₃×C₄×D₄	C₂³	1	2	yes	—
488	C₃×C₄×D₄	C₂³	1	4	yes	—
489	C₃×C₄×D₄	C₂³	1	8	yes	—
490	C₃×C₄×D₄	C₂³	1	8	yes	—
491	C₃×C₄×D₄	C₂³	1	4	yes	—
492	C₃×C₄×D₄	C₂³	1	8	yes	—
493	C₃×C₄×D₄	C₂³	1	4	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	4	yes	—
499	C₃×#117	C₂³	1	2	yes	—
500	C₃×#117	C₂³	1	1	yes	characteristic
501	C₃×#117	C₂³	1	1	yes	characteristic
502	C₃×#117	C₂³	1	4	yes	—
503	C₃×#117	C₂³	1	2	yes	—
504	C₃×#117	C₂³	1	2	yes	—
505	C₃×#117	C₂³	1	1	yes	characteristic
506	C₃×#117	C₂³	1	2	yes	—
507	C₃×#117	C₂³	1	4	yes	—
508	C₃×#117	C₂³	1	4	yes	—
509	C₃×#117	C₂³	1	2	yes	—
510	C₃×#117	C₂³	1	4	yes	—
511	C₃×#117	C₂³	1	4	yes	—
512	C₃×#117	C₂³	1	4	yes	—
513	C₃×#117	C₂³	1	8	yes	—
514	C₃×#117	C₂³	1	4	yes	—
515	C₃×#117	C₂³	1	8	yes	—
516	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
517	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
518	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
519	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
520	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
521	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
522	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
523	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
524	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
525	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
526	C₂×C₃×C₄⋊C₄	C₂³	1	4	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	4	yes	—
530	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
531	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
532	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
533	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
534	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
535	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
536	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
537	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
538	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
539	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
540	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
541	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
542	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
543	C₂×C₃×C₄²	C₂³	1	4	yes	—
544	C₂×C₃×C₄²	C₂³	1	2	yes	—
545	C₂×C₃×C₄²	C₂³	1	2	yes	—
546	C₂×C₃×C₄²	C₂³	1	2	yes	—
547	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
548	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
549	C₂²×#41	C₂²×C₃	1	4	yes	complemented
550	#563	C₂²×C₃	1	8	yes	complemented
551	#563	C₂²×C₃	1	8	yes	complemented
552	#562	C₂²×C₃	1	4	yes	complemented
553	#562	C₂²×C₃	1	8	yes	complemented
554	#562	C₂²×C₃	1	8	yes	complemented
555	#559	C₂²×C₃	1	1	yes	characteristic, complemented
556	#559	C₂²×C₃	1	1	yes	characteristic, complemented
557	#559	C₂²×C₃	1	4	yes	complemented
558	Q₈²	C₂²×C₃	1	2	yes	complemented
559	#557	C₂²×C₃	1	1	yes	characteristic, complemented
560	#557	C₂²×C₃	1	2	yes	complemented
561	#556	C₂²×C₃	1	1	yes	characteristic, complemented
562	#556	C₂²×C₃	1	2	yes	complemented
563	#556	C₂²×C₃	1	2	yes	complemented
564	#555	C₂²×C₃	1	2	yes	complemented
565	#554	C₂²×C₃	1	1	yes	characteristic
566	#554	C₂²×C₃	1	4	yes	—
567	#554	C₂²×C₃	1	2	yes	—
568	#554	C₂²×C₃	1	1	yes	characteristic
569	#554	C₂²×C₃	1	4	yes	complemented
570	#554	C₂²×C₃	1	2	yes	complemented
571	#554	C₂²×C₃	1	8	yes	complemented
572	#554	C₂²×C₃	1	4	yes	complemented
573	#554	C₂²×C₃	1	2	yes	complemented
574	#554	C₂²×C₃	1	4	yes	complemented
575	#554	C₂²×C₃	1	1	yes	characteristic, complemented
576	#554	C₂²×C₃	1	1	yes	characteristic, complemented
577	#554	C₂²×C₃	1	8	yes	complemented
578	#554	C₂²×C₃	1	4	yes	complemented
579	#554	C₂²×C₃	1	2	yes	complemented
580	#554	C₂²×C₃	1	4	yes	complemented
581	#554	C₂²×C₃	1	4	yes	complemented
582	#553	C₂²×C₃	1	2	yes	complemented
583	#553	C₂²×C₃	1	2	yes	complemented
584	#553	C₂²×C₃	1	2	yes	complemented
585	#553	C₂²×C₃	1	2	yes	complemented
586	#553	C₂²×C₃	1	8	yes	complemented
587	#553	C₂²×C₃	1	4	yes	complemented
588	#553	C₂²×C₃	1	4	yes	complemented
589	#553	C₂²×C₃	1	4	yes	complemented
590	#552	C₂²×C₃	1	2	yes	complemented
591	#552	C₂²×C₃	1	4	yes	complemented
592	#552	C₂²×C₃	1	8	yes	complemented
593	#552	C₂²×C₃	1	4	yes	complemented
594	#552	C₂²×C₃	1	4	yes	complemented
595	#552	C₂²×C₃	1	4	yes	complemented
596	#551	C₂²×C₃	1	4	yes	complemented
597	#551	C₂²×C₃	1	4	yes	complemented
598	#551	C₂²×C₃	1	8	yes	complemented
599	#551	C₂²×C₃	1	8	yes	complemented
600	#550	C₂²×C₃	1	2	yes	complemented
601	#550	C₂²×C₃	1	2	yes	complemented
602	D₄×Q₈	C₂²×C₃	1	2	yes	—
603	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
604	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
605	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
606	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
607	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
608	#548	C₂²×C₃	1	4	yes	complemented
609	#548	C₂²×C₃	1	2	yes	complemented
610	#548	C₂²×C₃	1	4	yes	complemented
611	#548	C₂²×C₃	1	4	yes	complemented
612	#548	C₂²×C₃	1	4	yes	complemented
613	#547	C₂²×C₃	1	1	yes	characteristic
614	#547	C₂²×C₃	1	4	yes	complemented
615	#547	C₂²×C₃	1	4	yes	complemented
616	#547	C₂²×C₃	1	2	yes	complemented
617	#547	C₂²×C₃	1	2	yes	complemented
618	#547	C₂²×C₃	1	8	yes	complemented
619	#547	C₂²×C₃	1	4	yes	complemented
620	#547	C₂²×C₃	1	4	yes	complemented
621	#547	C₂²×C₃	1	2	yes	complemented
622	#547	C₂²×C₃	1	2	yes	complemented
623	#547	C₂²×C₃	1	4	yes	complemented
624	#547	C₂²×C₃	1	2	yes	complemented
625	#547	C₂²×C₃	1	8	yes	complemented
626	#547	C₂²×C₃	1	8	yes	complemented
627	#547	C₂²×C₃	1	4	yes	complemented
628	#547	C₂²×C₃	1	4	yes	complemented
629	#547	C₂²×C₃	1	2	yes	complemented
630	#546	C₂²×C₃	1	2	yes	—
631	#546	C₂²×C₃	1	2	yes	—
632	#546	C₂²×C₃	1	4	yes	complemented
633	#546	C₂²×C₃	1	8	yes	complemented
634	#546	C₂²×C₃	1	2	yes	complemented
635	#546	C₂²×C₃	1	2	yes	complemented
636	#546	C₂²×C₃	1	8	yes	complemented
637	#546	C₂²×C₃	1	8	yes	complemented
638	#546	C₂²×C₃	1	4	yes	complemented
639	D₄²	C₂²×C₃	1	1	yes	characteristic
640	D₄²	C₂²×C₃	1	4	yes	—
641	D₄²	C₂²×C₃	1	1	yes	characteristic
642	#544	C₂²×C₃	1	4	yes	complemented
643	#544	C₂²×C₃	1	4	yes	complemented
644	#544	C₂²×C₃	1	4	yes	complemented
645	#544	C₂²×C₃	1	2	yes	complemented
646	#543	C₂²×C₃	1	8	yes	complemented
647	#542	C₂²×C₃	1	4	yes	complemented
648	#542	C₂²×C₃	1	4	yes	complemented
649	#542	C₂²×C₃	1	4	yes	complemented
650	#542	C₂²×C₃	1	4	yes	complemented
651	#542	C₂²×C₃	1	8	yes	complemented
652	#542	C₂²×C₃	1	4	yes	complemented
653	#541	C₂²×C₃	1	4	yes	complemented
654	#540	C₂²×C₃	1	4	yes	complemented
655	#540	C₂²×C₃	1	4	yes	complemented
656	#539	C₂²×C₃	1	8	yes	complemented
657	#539	C₂²×C₃	1	8	yes	complemented
658	#539	C₂²×C₃	1	8	yes	complemented
659	#539	C₂²×C₃	1	8	yes	complemented
660	#539	C₂²×C₃	1	8	yes	complemented
661	#539	C₂²×C₃	1	8	yes	complemented
662	#538	C₂²×C₃	1	8	yes	complemented
663	#538	C₂²×C₃	1	8	yes	complemented
664	#537	C₂²×C₃	1	8	yes	complemented
665	#537	C₂²×C₃	1	4	yes	complemented
666	#537	C₂²×C₃	1	4	yes	complemented
667	#537	C₂²×C₃	1	2	yes	complemented
668	#536	C₂²×C₃	1	8	yes	complemented
669	#536	C₂²×C₃	1	4	yes	complemented
670	#536	C₂²×C₃	1	4	yes	complemented
671	#536	C₂²×C₃	1	2	yes	complemented
672	#533	C₂²×C₃	1	2	yes	complemented
673	#533	C₂²×C₃	1	1	yes	characteristic, complemented
674	#533	C₂²×C₃	1	2	yes	complemented
675	#533	C₂²×C₃	1	2	yes	complemented
676	#532	C₂²×C₃	1	2	yes	complemented
677	#532	C₂²×C₃	1	4	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	2	yes	complemented
681	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
682	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
683	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
684	#529	C₂²×C₃	1	2	yes	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	4	yes	complemented
689	#529	C₂²×C₃	1	2	yes	complemented
690	#529	C₂²×C₃	1	4	yes	complemented
691	C₂×#125	C₂²×C₃	1	4	yes	complemented
692	#525	C₂²×C₃	1	8	yes	complemented
693	#525	C₂²×C₃	1	4	yes	complemented
694	#525	C₂²×C₃	1	4	yes	complemented
695	#525	C₂²×C₃	1	4	yes	complemented
696	#525	C₂²×C₃	1	8	yes	complemented
697	#525	C₂²×C₃	1	4	yes	complemented
698	C₂×#123	C₂²×C₃	1	8	yes	complemented
699	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
700	C₂×C₂²⋊Q₈	C₂²×C₃	1	8	yes	complemented
701	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
702	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
703	C₂×#121	C₂²×C₃	1	4	yes	complemented
704	#520	C₂²×C₃	1	2	yes	—
705	#520	C₂²×C₃	1	4	yes	complemented
706	#520	C₂²×C₃	1	2	yes	complemented
707	#520	C₂²×C₃	1	4	yes	complemented
708	#518	C₂²×C₃	1	4	yes	—
709	C₄×#41	C₂²×C₃	1	1	yes	characteristic
710	C₄×#41	C₂²×C₃	1	2	yes	complemented
711	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
712	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
713	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
714	C₂×C₄×D₄	C₂²×C₃	1	4	yes	—
715	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
716	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
717	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
718	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
719	C₂²×C₄⋊C₄	C₂²×C₃	1	4	yes	complemented
720	C₂⁴×C₃	C₂⁴	1	4	yes	—
721	C₂⁴×C₃	C₂⁴	1	4	yes	—
722	C₃×#41	—	2	8	no	—
723	C₃×#41	—	2	16	no	—
724	C₃×#41	—	2	4	no	—
725	C₃×#41	—	2	4	no	—
726	C₃×#41	—	4	4	no	—
727	C₃×#41	—	4	4	no	—
728	C₃×#41	—	4	16	no	—
729	C₃×#41	—	4	16	no	—
730	C₃×#41	—	4	16	no	—
731	C₃×#41	—	4	8	no	—
732	C₃×#41	—	4	8	no	—
733	C₃×#41	—	4	8	no	—
734	C₃×#41	—	4	8	no	—
735	C₃×#41	—	4	2	no	—
736	C₂×C₃×Q₈	—	4	8	no	—
737	C₂×C₃×Q₈	—	4	4	no	—
738	C₂×C₃×Q₈	—	4	8	no	—
739	C₂×C₃×Q₈	—	4	8	no	—
740	C₂×C₃×Q₈	—	4	4	no	—
741	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
742	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
743	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
744	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
746	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
747	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
748	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
749	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
750	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
751	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
752	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
753	C₂×C₃×D₄	—	2	8	no	—
754	C₂×C₃×D₄	—	2	8	no	—
755	C₂×C₃×D₄	—	2	8	no	—
756	C₂×C₃×D₄	—	4	4	no	—
757	C₂×C₃×D₄	—	4	16	no	—
758	C₂×C₃×D₄	C₂⁴	1	2	yes	—
759	C₂×C₃×D₄	C₂⁴	1	4	yes	—
760	C₂×C₃×D₄	C₂⁴	1	4	yes	—
761	C₂×C₃×D₄	C₂⁴	1	2	yes	—
762	C₂×C₃×D₄	C₂⁴	1	2	yes	—
763	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₃×D₄	C₂⁴	1	2	yes	—
765	C₂×C₃×D₄	C₂⁴	1	2	yes	—
766	C₂×C₃×D₄	C₂⁴	1	4	yes	—
767	C₂×C₃×D₄	C₂⁴	1	8	yes	—
768	C₂×C₃×D₄	C₂⁴	1	4	yes	—
769	C₂×C₃×D₄	C₂⁴	1	2	yes	—
770	C₂×C₃×D₄	C₂⁴	1	2	yes	—
771	C₂×C₃×D₄	C₂⁴	1	8	yes	—
772	C₂×C₃×D₄	C₂⁴	1	2	yes	—
773	C₂×C₃×D₄	C₂⁴	1	4	yes	—
774	C₂×C₃×D₄	C₂⁴	1	4	yes	—
775	C₂×C₃×D₄	C₂⁴	1	2	yes	—
776	C₂×C₃×D₄	C₂⁴	1	4	yes	—
777	C₂×C₃×D₄	C₂⁴	1	8	yes	—
778	C₂×C₃×D₄	C₂⁴	1	8	yes	—
779	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
780	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
781	C₂²×C₃×C₄	—	4	8	no	—
782	C₂²×C₃×C₄	—	4	8	no	—
783	C₂²×C₃×C₄	—	4	16	no	—
784	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
785	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
786	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
787	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
788	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
789	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
790	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
791	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
792	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
793	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
794	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
795	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
796	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
797	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
798	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
799	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
800	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
801	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
802	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
803	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
804	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
805	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
806	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
807	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
808	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
809	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
810	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
811	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
812	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
813	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
814	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
815	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
817	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
820	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
821	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
822	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
824	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
825	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
826	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
827	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
829	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
830	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
831	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
834	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
837	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
838	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
840	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
843	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
844	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
845	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
846	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
847	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
848	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
849	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
850	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
851	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
852	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
853	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
854	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
855	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
856	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
857	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
858	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
859	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
860	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
861	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
862	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
863	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
866	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
869	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
872	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
877	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
878	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
881	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
884	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
890	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
894	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
895	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₃×C₄²	C₂⁴	1	1	yes	characteristic
902	C₃×C₄²	C₂⁴	1	2	yes	—
903	C₃×C₄²	C₂⁴	1	1	yes	characteristic
904	C₃×C₄²	C₂⁴	1	1	yes	characteristic
905	C₃×C₄²	C₂⁴	1	1	yes	characteristic
906	C₃×C₄²	C₂⁴	1	4	yes	—
907	C₃×C₄²	C₂⁴	1	2	yes	—
908	C₃×C₄²	C₂⁴	1	2	yes	—
909	C₃×C₄²	C₂⁴	1	2	yes	—
910	C₃×C₄²	C₂⁴	1	2	yes	—
911	C₃×C₄²	C₂⁴	1	2	yes	—
912	C₃×C₄²	C₂⁴	1	2	yes	—
913	C₃×C₄²	C₂⁴	1	4	yes	—
914	C₃×C₄²	C₂⁴	1	2	yes	—
915	C₃×C₄²	C₂⁴	1	2	yes	—
916	C₃×C₄²	C₂⁴	1	4	yes	—
917	C₃×C₄²	C₂⁴	1	8	yes	—
918	C₃×C₄²	C₂⁴	1	8	yes	—
919	2₋¹⁺⁴	—	4	8	no	—
920	C₂×#41	—	4	16	no	—
921	C₂×#41	C₂³×C₃	1	1	yes	characteristic
922	C₂×#41	C₂³×C₃	1	1	yes	characteristic
923	C₂×#41	C₂³×C₃	1	2	yes	—
924	C₂×#41	C₂³×C₃	1	4	yes	—
925	C₂×#41	C₂³×C₃	1	1	yes	characteristic
926	C₂×#41	C₂³×C₃	1	2	yes	—
927	C₂×#41	C₂³×C₃	1	4	yes	—
928	C₂×#41	C₂³×C₃	1	2	yes	—
929	C₂×#41	C₂³×C₃	1	8	yes	—
930	C₂×#41	C₂³×C₃	1	4	yes	—
931	C₂×#41	C₂³×C₃	1	8	yes	—
932	C₂×#41	C₂³×C₃	1	4	yes	—
933	C₂×#41	C₂³×C₃	1	8	yes	—
934	C₂×#41	C₂³×C₃	1	4	yes	—
935	C₂²×Q₈	C₂³×C₃	1	2	yes	—
936	C₂²×Q₈	C₂³×C₃	1	4	yes	—
937	C₂²×Q₈	C₂³×C₃	1	4	yes	—
938	C₂²×Q₈	C₂³×C₃	1	4	yes	—
939	C₂²×Q₈	C₂³×C₃	1	2	yes	—
940	C₂²×D₄	C₂³×C₃	1	2	yes	—
941	C₂²×D₄	C₂³×C₃	1	2	yes	—
942	C₂²×D₄	C₂³×C₃	1	2	yes	—
943	C₂²×D₄	C₂³×C₃	1	2	yes	—
944	C₂²×D₄	C₂³×C₃	1	8	yes	—
945	C₂³×C₄	C₂³×C₃	1	4	yes	—
946	C₂³×C₄	C₂³×C₃	1	8	yes	—
947	C₂³×C₄	C₂³×C₃	1	4	yes	—
948	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
949	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
950	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
951	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
952	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
953	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
954	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
955	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
956	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
957	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
958	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
959	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
960	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
961	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
962	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
963	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
964	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
965	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
966	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
967	#127	C₂³×C₃	1	1	yes	characteristic
968	#127	C₂³×C₃	1	1	yes	characteristic
969	#127	C₂³×C₃	1	4	yes	—
970	#126	C₂³×C₃	1	4	yes	—
971	#126	C₂³×C₃	1	8	yes	—
972	#126	C₂³×C₃	1	4	yes	—
973	#126	C₂³×C₃	1	4	yes	—
974	#126	C₂³×C₃	1	4	yes	—
975	#126	C₂³×C₃	1	4	yes	—
976	#126	C₂³×C₃	1	4	yes	—
977	#126	C₂³×C₃	1	4	yes	—
978	#126	C₂³×C₃	1	8	yes	—
979	#126	C₂³×C₃	1	8	yes	—
980	#126	C₂³×C₃	1	8	yes	—
981	#126	C₂³×C₃	1	8	yes	—
982	#125	C₂³×C₃	1	2	yes	—
983	#125	C₂³×C₃	1	4	yes	—
984	#125	C₂³×C₃	1	8	yes	—
985	#125	C₂³×C₃	1	8	yes	—
986	#125	C₂³×C₃	1	4	yes	—
987	#125	C₂³×C₃	1	4	yes	—
988	#125	C₂³×C₃	1	4	yes	—
989	#125	C₂³×C₃	1	2	yes	—
990	#125	C₂³×C₃	1	2	yes	—
991	#125	C₂³×C₃	1	2	yes	—
992	#125	C₂³×C₃	1	2	yes	—
993	#125	C₂³×C₃	1	4	yes	—
994	#125	C₂³×C₃	1	4	yes	—
995	#125	C₂³×C₃	1	2	yes	—
996	#125	C₂³×C₃	1	8	yes	—
997	#125	C₂³×C₃	1	8	yes	—
998	#125	C₂³×C₃	1	8	yes	—
999	#124	C₂³×C₃	1	2	yes	—
1000	#124	C₂³×C₃	1	2	yes	—
1001	#124	C₂³×C₃	1	4	yes	—
1002	#124	C₂³×C₃	1	2	yes	—
1003	#124	C₂³×C₃	1	2	yes	—
1004	#124	C₂³×C₃	1	2	yes	—
1005	#124	C₂³×C₃	1	4	yes	—
1006	#124	C₂³×C₃	1	2	yes	—
1007	#124	C₂³×C₃	1	4	yes	—
1008	#124	C₂³×C₃	1	8	yes	—
1009	#124	C₂³×C₃	1	2	yes	—
1010	#124	C₂³×C₃	1	8	yes	—
1011	#124	C₂³×C₃	1	8	yes	—
1012	#124	C₂³×C₃	1	8	yes	—
1013	#123	C₂³×C₃	1	4	yes	—
1014	#123	C₂³×C₃	1	8	yes	—
1015	#123	C₂³×C₃	1	8	yes	—
1016	#123	C₂³×C₃	1	8	yes	—
1017	#123	C₂³×C₃	1	8	yes	—
1018	#123	C₂³×C₃	1	8	yes	—
1019	#123	C₂³×C₃	1	8	yes	—
1020	#123	C₂³×C₃	1	8	yes	—
1021	#123	C₂³×C₃	1	4	yes	—
1022	#123	C₂³×C₃	1	8	yes	—
1023	#123	C₂³×C₃	1	8	yes	—
1024	#123	C₂³×C₃	1	8	yes	—
1025	#123	C₂³×C₃	1	4	yes	—
1026	#123	C₂³×C₃	1	4	yes	—
1027	#123	C₂³×C₃	1	4	yes	—
1028	#123	C₂³×C₃	1	8	yes	—
1029	#123	C₂³×C₃	1	4	yes	—
1030	#123	C₂³×C₃	1	4	yes	—
1031	#123	C₂³×C₃	1	4	yes	—
1032	#123	C₂³×C₃	1	4	yes	—
1033	#123	C₂³×C₃	1	4	yes	—
1034	#123	C₂³×C₃	1	4	yes	—
1035	#123	C₂³×C₃	1	8	yes	—
1036	#123	C₂³×C₃	1	8	yes	—
1037	#123	C₂³×C₃	1	8	yes	—
1038	#123	C₂³×C₃	1	8	yes	—
1039	#123	C₂³×C₃	1	8	yes	—
1040	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1042	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1043	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1044	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1045	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1046	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1047	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1048	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1049	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1050	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1051	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1052	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1053	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1054	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1055	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1056	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1058	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1060	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1062	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1063	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1064	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1065	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1066	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1067	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1068	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1070	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1071	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1072	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1073	C₂²⋊Q₈	C₂³×C₃	1	4	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	4	yes	—
1078	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1079	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1080	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1081	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1082	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1085	#121	C₂³×C₃	1	2	yes	—
1086	#121	C₂³×C₃	1	4	yes	—
1087	#121	C₂³×C₃	1	8	yes	—
1088	#121	C₂³×C₃	1	4	yes	—
1089	#121	C₂³×C₃	1	4	yes	—
1090	#121	C₂³×C₃	1	8	yes	—
1091	#121	C₂³×C₃	1	4	yes	—
1092	#121	C₂³×C₃	1	2	yes	—
1093	#121	C₂³×C₃	1	2	yes	—
1094	#121	C₂³×C₃	1	8	yes	—
1095	#121	C₂³×C₃	1	4	yes	—
1096	#121	C₂³×C₃	1	4	yes	—
1097	#121	C₂³×C₃	1	8	yes	—
1098	#121	C₂³×C₃	1	4	yes	—
1099	#121	C₂³×C₃	1	4	yes	—
1100	#121	C₂³×C₃	1	8	yes	—
1101	#121	C₂³×C₃	1	2	yes	—
1102	#121	C₂³×C₃	1	4	yes	—
1103	#121	C₂³×C₃	1	4	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	8	yes	—
1108	#121	C₂³×C₃	1	4	yes	—
1109	#121	C₂³×C₃	1	2	yes	—
1110	#121	C₂³×C₃	1	2	yes	—
1111	#121	C₂³×C₃	1	4	yes	—
1112	#121	C₂³×C₃	1	8	yes	—
1113	#121	C₂³×C₃	1	8	yes	—
1114	#121	C₂³×C₃	1	8	yes	—
1115	#121	C₂³×C₃	1	8	yes	—
1116	#120	C₂³×C₃	1	4	yes	—
1117	#120	C₂³×C₃	1	8	yes	—
1118	#120	C₂³×C₃	1	4	yes	—
1119	#120	C₂³×C₃	1	4	yes	—
1120	#120	C₂³×C₃	1	8	yes	—
1121	#120	C₂³×C₃	1	4	yes	—
1122	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₃	1	2	yes	—
1124	C₄×Q₈	C₂³×C₃	1	2	yes	—
1125	C₄×Q₈	C₂³×C₃	1	4	yes	—
1126	C₄×Q₈	C₂³×C₃	1	2	yes	—
1127	C₄×Q₈	C₂³×C₃	1	4	yes	—
1128	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₃	1	2	yes	—
1133	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₃	1	2	yes	—
1135	C₄×Q₈	C₂³×C₃	1	4	yes	—
1136	C₄×Q₈	C₂³×C₃	1	4	yes	—
1137	C₄×Q₈	C₂³×C₃	1	4	yes	—
1138	C₄×Q₈	C₂³×C₃	1	4	yes	—
1139	C₄×Q₈	C₂³×C₃	1	4	yes	—
1140	C₄×D₄	C₂³×C₃	1	2	yes	—
1141	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1142	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1143	C₄×D₄	C₂³×C₃	1	2	yes	—
1144	C₄×D₄	C₂³×C₃	1	4	yes	—
1145	C₄×D₄	C₂³×C₃	1	8	yes	—
1146	C₄×D₄	C₂³×C₃	1	4	yes	—
1147	C₄×D₄	C₂³×C₃	1	4	yes	—
1148	C₄×D₄	C₂³×C₃	1	4	yes	—
1149	C₄×D₄	C₂³×C₃	1	2	yes	—
1150	C₄×D₄	C₂³×C₃	1	2	yes	—
1151	C₄×D₄	C₂³×C₃	1	4	yes	—
1152	C₄×D₄	C₂³×C₃	1	2	yes	—
1153	C₄×D₄	C₂³×C₃	1	4	yes	—
1154	C₄×D₄	C₂³×C₃	1	8	yes	—
1155	C₄×D₄	C₂³×C₃	1	2	yes	—
1156	C₄×D₄	C₂³×C₃	1	4	yes	—
1157	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1158	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1159	C₄×D₄	C₂³×C₃	1	2	yes	—
1160	C₄×D₄	C₂³×C₃	1	2	yes	—
1161	C₄×D₄	C₂³×C₃	1	4	yes	—
1162	C₄×D₄	C₂³×C₃	1	4	yes	—
1163	C₄×D₄	C₂³×C₃	1	2	yes	—
1164	C₄×D₄	C₂³×C₃	1	2	yes	—
1165	C₄×D₄	C₂³×C₃	1	4	yes	—
1166	C₄×D₄	C₂³×C₃	1	4	yes	—
1167	C₄×D₄	C₂³×C₃	1	2	yes	—
1168	C₄×D₄	C₂³×C₃	1	2	yes	—
1169	C₄×D₄	C₂³×C₃	1	2	yes	—
1170	C₄×D₄	C₂³×C₃	1	2	yes	—
1171	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1172	C₄×D₄	C₂³×C₃	1	2	yes	—
1173	C₄×D₄	C₂³×C₃	1	2	yes	—
1174	C₄×D₄	C₂³×C₃	1	2	yes	—
1175	C₄×D₄	C₂³×C₃	1	4	yes	—
1176	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1177	C₄×D₄	C₂³×C₃	1	2	yes	—
1178	C₄×D₄	C₂³×C₃	1	2	yes	—
1179	C₄×D₄	C₂³×C₃	1	4	yes	—
1180	C₄×D₄	C₂³×C₃	1	8	yes	—
1181	C₄×D₄	C₂³×C₃	1	8	yes	—
1182	C₄×D₄	C₂³×C₃	1	4	yes	—
1183	C₄×D₄	C₂³×C₃	1	4	yes	—
1184	C₄×D₄	C₂³×C₃	1	8	yes	—
1185	C₄×D₄	C₂³×C₃	1	4	yes	—
1186	C₄×D₄	C₂³×C₃	1	8	yes	—
1187	C₄×D₄	C₂³×C₃	1	8	yes	—
1188	C₄×D₄	C₂³×C₃	1	8	yes	—
1189	C₄×D₄	C₂³×C₃	1	8	yes	—
1190	C₄×D₄	C₂³×C₃	1	8	yes	—
1191	C₄×D₄	C₂³×C₃	1	4	yes	—
1192	#117	C₂³×C₃	1	2	yes	—
1193	#117	C₂³×C₃	1	1	yes	characteristic
1194	#117	C₂³×C₃	1	1	yes	characteristic
1195	#117	C₂³×C₃	1	4	yes	—
1196	#117	C₂³×C₃	1	2	yes	—
1197	#117	C₂³×C₃	1	2	yes	—
1198	#117	C₂³×C₃	1	1	yes	characteristic
1199	#117	C₂³×C₃	1	2	yes	—
1200	#117	C₂³×C₃	1	4	yes	—
1201	#117	C₂³×C₃	1	4	yes	—
1202	#117	C₂³×C₃	1	2	yes	—
1203	#117	C₂³×C₃	1	4	yes	—
1204	#117	C₂³×C₃	1	4	yes	—
1205	#117	C₂³×C₃	1	4	yes	—
1206	#117	C₂³×C₃	1	8	yes	—
1207	#117	C₂³×C₃	1	4	yes	—
1208	#117	C₂³×C₃	1	8	yes	—
1209	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1210	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1211	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1212	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1213	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1214	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1215	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1216	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1217	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1218	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1219	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1220	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1221	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1222	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1223	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1224	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1225	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1226	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1227	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1228	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1229	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1230	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1231	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1232	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1233	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1234	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1235	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1236	C₂×C₄²	C₂³×C₃	1	4	yes	—
1237	C₂×C₄²	C₂³×C₃	1	2	yes	—
1238	C₂×C₄²	C₂³×C₃	1	2	yes	—
1239	C₂×C₄²	C₂³×C₃	1	2	yes	—
1240	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1241	C₂³×C₃	—	2	8	no	—
1242	C₂³×C₃	—	2	8	no	—
1243	C₂³×C₃	—	2	8	no	—
1244	C₂³×C₃	—	4	4	no	—
1245	C₂³×C₃	—	4	4	no	—
1246	C₂³×C₃	—	4	4	no	—
1247	C₂³×C₃	C₂⁵	1	2	yes	—
1248	C₂³×C₃	C₂⁵	1	4	yes	—
1249	C₂³×C₃	C₂⁵	1	4	yes	—
1250	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1251	C₂³×C₃	C₂⁵	1	2	yes	—
1252	C₂³×C₃	C₂⁵	1	2	yes	—
1253	C₃×Q₈	—	2	2	no	—
1254	C₃×Q₈	—	2	8	no	—
1255	C₃×Q₈	—	2	4	no	—
1256	C₃×Q₈	—	2	2	no	—
1257	C₃×Q₈	—	2	2	no	—
1258	C₃×Q₈	—	2	4	no	—
1259	C₃×Q₈	—	4	2	no	—
1260	C₃×Q₈	—	4	8	no	—
1261	C₃×Q₈	—	4	4	no	—
1262	C₃×Q₈	—	4	4	no	—
1263	C₃×Q₈	—	4	8	no	—
1264	C₃×Q₈	—	4	2	no	—
1265	C₃×D₄	—	2	8	no	—
1266	C₃×D₄	—	2	8	no	—
1267	C₃×D₄	—	2	16	no	—
1268	C₃×D₄	—	2	4	no	—
1269	C₃×D₄	—	2	8	no	—
1270	C₃×D₄	—	2	8	no	—
1271	C₃×D₄	—	2	4	no	—
1272	C₃×D₄	—	2	4	no	—
1273	C₃×D₄	—	2	4	no	—
1274	C₃×D₄	—	2	4	no	—
1275	C₃×D₄	—	2	2	no	—
1276	C₃×D₄	—	2	4	no	—
1277	C₃×D₄	—	4	4	no	—
1278	C₃×D₄	—	4	8	no	—
1279	C₃×D₄	—	4	8	no	—
1280	C₃×D₄	—	4	4	no	—
1281	C₃×D₄	—	4	2	no	—
1282	C₃×D₄	—	4	8	no	—
1283	C₃×D₄	—	4	2	no	—
1284	C₃×D₄	—	4	4	no	—
1285	C₃×D₄	—	4	2	no	—
1286	C₃×D₄	H(5,𝔽₂)	1	4	yes	—
1287	C₃×D₄	2₋¹⁺⁴	1	4	yes	complemented
1288	C₂×C₃×C₄	—	2	8	no	—
1289	C₂×C₃×C₄	—	2	16	no	—
1290	C₂×C₃×C₄	—	2	4	no	—
1291	C₂×C₃×C₄	—	2	4	no	—
1292	C₂×C₃×C₄	—	2	4	no	—
1293	C₂×C₃×C₄	—	2	4	no	—
1294	C₂×C₃×C₄	—	2	8	no	—
1295	C₂×C₃×C₄	—	2	2	no	—
1296	C₂×C₃×C₄	—	2	4	no	—
1297	C₂×C₃×C₄	—	2	4	no	—
1298	C₂×C₃×C₄	—	2	2	no	—
1299	C₂×C₃×C₄	—	2	4	no	—
1300	C₂×C₃×C₄	—	2	4	no	—
1301	C₂×C₃×C₄	—	2	8	no	—
1302	C₂×C₃×C₄	—	2	2	no	—
1303	C₂×C₃×C₄	—	4	4	no	—
1304	C₂×C₃×C₄	—	4	4	no	—
1305	C₂×C₃×C₄	—	4	4	no	—
1306	C₂×C₃×C₄	—	4	4	no	—
1307	C₂×C₃×C₄	—	4	8	no	—
1308	C₂×C₃×C₄	—	4	4	no	—
1309	C₂×C₃×C₄	—	4	8	no	—
1310	C₂×C₃×C₄	—	4	4	no	—
1311	C₂×C₃×C₄	—	4	8	no	—
1312	C₂×C₃×C₄	—	4	4	no	—
1313	C₂×C₃×C₄	—	4	4	no	—
1314	C₂×C₃×C₄	—	4	8	no	—
1315	C₂×C₃×C₄	—	4	8	no	—
1316	C₂×C₃×C₄	—	4	2	no	—
1317	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1318	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1319	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1320	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1321	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1322	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1323	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1324	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1325	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1326	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1327	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1328	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1329	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1330	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1331	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1332	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1333	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1334	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1335	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1336	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1337	C₂⁴	C₂⁴×C₃	1	4	yes	—
1338	C₂⁴	C₂⁴×C₃	1	4	yes	—
1339	#41	—	2	8	no	—
1340	#41	—	2	16	no	—
1341	#41	—	2	4	no	—
1342	#41	—	2	4	no	—
1343	#41	—	4	4	no	—
1344	#41	—	4	4	no	—
1345	#41	—	4	16	no	—
1346	#41	—	4	16	no	—
1347	#41	—	4	16	no	—
1348	#41	—	4	8	no	—
1349	#41	—	4	8	no	—
1350	#41	—	4	8	no	—
1351	#41	—	4	8	no	—
1352	#41	—	4	2	no	—
1353	C₂×Q₈	—	4	8	no	—
1354	C₂×Q₈	—	4	8	no	—
1355	C₂×Q₈	—	4	8	no	—
1356	C₂×Q₈	—	4	4	no	—
1357	C₂×Q₈	—	4	4	no	—
1358	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1359	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1360	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1361	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1362	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1363	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1364	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1365	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1366	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1367	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1368	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1369	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1370	C₂×D₄	—	2	8	no	—
1371	C₂×D₄	—	2	8	no	—
1372	C₂×D₄	—	2	8	no	—
1373	C₂×D₄	—	4	4	no	—
1374	C₂×D₄	—	4	16	no	—
1375	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1376	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1377	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1378	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1379	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1380	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1381	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1382	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1383	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1384	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1385	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1386	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1387	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1388	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1389	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1390	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1391	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1392	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1393	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1394	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1395	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1396	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1397	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1398	C₂²×C₄	—	4	8	no	—
1399	C₂²×C₄	—	4	8	no	—
1400	C₂²×C₄	—	4	16	no	—
1401	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1402	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1403	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1404	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1405	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1406	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1407	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1410	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1411	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1413	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1414	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1415	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1416	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1417	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1418	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1419	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1420	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1421	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1422	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1423	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1424	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1425	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1426	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1427	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1428	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1429	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1430	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1432	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1433	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1434	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1435	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1436	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1437	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1438	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1439	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1440	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1441	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1442	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1443	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1445	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1447	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1448	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1449	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1450	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1451	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1452	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1453	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1454	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1455	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1456	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1457	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1458	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1459	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1460	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1461	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1462	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1464	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1465	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1466	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1469	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1470	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1471	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1472	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1473	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1474	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1476	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1477	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1478	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1479	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1480	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1481	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1482	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1483	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1484	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1485	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1486	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1487	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1488	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1489	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1490	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1491	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1492	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1493	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1494	C₂²⋊C₄	C₂⁴×C₃	1	8	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	4	yes	—
1499	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1500	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1501	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1502	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1503	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1504	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1505	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1506	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1507	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1508	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1509	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1510	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1511	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1512	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1513	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1514	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1515	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1516	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1517	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1518	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1519	C₄²	C₂⁴×C₃	1	2	yes	—
1520	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1521	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1523	C₄²	C₂⁴×C₃	1	4	yes	—
1524	C₄²	C₂⁴×C₃	1	2	yes	—
1525	C₄²	C₂⁴×C₃	1	2	yes	—
1526	C₄²	C₂⁴×C₃	1	2	yes	—
1527	C₄²	C₂⁴×C₃	1	2	yes	—
1528	C₄²	C₂⁴×C₃	1	2	yes	—
1529	C₄²	C₂⁴×C₃	1	2	yes	—
1530	C₄²	C₂⁴×C₃	1	4	yes	—
1531	C₄²	C₂⁴×C₃	1	2	yes	—
1532	C₄²	C₂⁴×C₃	1	2	yes	—
1533	C₄²	C₂⁴×C₃	1	4	yes	—
1534	C₄²	C₂⁴×C₃	1	8	yes	—
1535	C₄²	C₂⁴×C₃	1	8	yes	—
1536	C₂²×C₃	—	2	2	no	—
1537	C₂²×C₃	—	2	2	no	—
1538	C₂²×C₃	—	2	2	no	—
1539	C₂²×C₃	—	2	2	no	—
1540	C₂²×C₃	—	2	1	no	—
1541	C₂²×C₃	—	2	4	no	—
1542	C₂²×C₃	—	2	2	no	—
1543	C₂²×C₃	—	2	4	no	—
1544	C₂²×C₃	—	2	1	no	—
1545	C₂²×C₃	—	2	2	no	—
1546	C₂²×C₃	—	2	4	no	—
1547	C₂²×C₃	—	2	4	no	—
1548	C₂²×C₃	—	2	4	no	—
1549	C₂²×C₃	—	2	1	no	—
1550	C₂²×C₃	—	2	4	no	—
1551	C₂²×C₃	—	2	2	no	—
1552	C₂²×C₃	—	4	16	no	—
1553	C₂²×C₃	—	8	8	no	—
1554	C₂²×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
1555	C₂²×C₃	C₂×2₋¹⁺⁴	1	4	yes	—
1556	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1557	C₃×C₄	—	2	2	no	—
1558	C₃×C₄	—	2	4	no	—
1559	C₃×C₄	—	2	1	no	—
1560	C₃×C₄	—	2	2	no	—
1561	C₃×C₄	—	2	4	no	—
1562	C₃×C₄	—	2	8	no	—
1563	C₃×C₄	—	2	2	no	—
1564	C₃×C₄	—	2	1	no	—
1565	C₃×C₄	—	2	2	no	—
1566	C₃×C₄	—	2	2	no	—
1567	C₃×C₄	—	2	2	no	—
1568	C₃×C₄	—	2	2	no	—
1569	C₃×C₄	—	2	4	no	—
1570	C₃×C₄	—	2	2	no	—
1571	C₃×C₄	—	2	1	no	—
1572	C₃×C₄	—	2	4	no	—
1573	C₃×C₄	—	2	2	no	—
1574	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1575	C₃×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1576	C₃×C₄	#585	1	2	yes	—
1577	C₂³	—	2	8	no	—
1578	C₂³	—	2	8	no	—
1579	C₂³	—	2	8	no	—
1580	C₂³	—	4	4	no	—
1581	C₂³	—	4	4	no	—
1582	C₂³	—	4	4	no	—
1583	C₂³	C₂⁵×C₃	1	2	yes	—
1584	C₂³	C₂⁵×C₃	1	4	yes	—
1585	C₂³	C₂⁵×C₃	1	4	yes	—
1586	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1587	C₂³	C₂⁵×C₃	1	2	yes	—
1588	C₂³	C₂⁵×C₃	1	2	yes	—
1589	Q₈	—	2	2	no	—
1590	Q₈	—	2	8	no	—
1591	Q₈	—	2	4	no	—
1592	Q₈	—	2	2	no	—
1593	Q₈	—	2	2	no	—
1594	Q₈	—	2	4	no	—
1595	Q₈	—	4	2	no	—
1596	Q₈	—	4	8	no	—
1597	Q₈	—	4	4	no	—
1598	Q₈	—	4	8	no	—
1599	Q₈	—	4	4	no	—
1600	Q₈	—	4	2	no	—
1601	D₄	—	2	8	no	—
1602	D₄	—	2	8	no	—
1603	D₄	—	2	16	no	—
1604	D₄	—	2	4	no	—
1605	D₄	—	2	8	no	—
1606	D₄	—	2	8	no	—
1607	D₄	—	2	4	no	—
1608	D₄	—	2	4	no	—
1609	D₄	—	2	4	no	—
1610	D₄	—	2	4	no	—
1611	D₄	—	2	2	no	—
1612	D₄	—	2	4	no	—
1613	D₄	—	4	8	no	—
1614	D₄	—	4	8	no	—
1615	D₄	—	4	4	no	—
1616	D₄	—	4	4	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	4	4	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	4	8	no	—
1621	D₄	—	4	2	no	—
1622	D₄	C₃×H(5,𝔽₂)	1	4	yes	—
1623	D₄	C₃×2₋¹⁺⁴	1	4	yes	complemented
1624	C₂×C₄	—	2	8	no	—
1625	C₂×C₄	—	2	16	no	—
1626	C₂×C₄	—	2	4	no	—
1627	C₂×C₄	—	2	4	no	—
1628	C₂×C₄	—	2	4	no	—
1629	C₂×C₄	—	2	4	no	—
1630	C₂×C₄	—	2	8	no	—
1631	C₂×C₄	—	2	2	no	—
1632	C₂×C₄	—	2	4	no	—
1633	C₂×C₄	—	2	4	no	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	4	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	8	no	—
1638	C₂×C₄	—	2	2	no	—
1639	C₂×C₄	—	4	4	no	—
1640	C₂×C₄	—	4	8	no	—
1641	C₂×C₄	—	4	4	no	—
1642	C₂×C₄	—	4	8	no	—
1643	C₂×C₄	—	4	4	no	—
1644	C₂×C₄	—	4	8	no	—
1645	C₂×C₄	—	4	4	no	—
1646	C₂×C₄	—	4	4	no	—
1647	C₂×C₄	—	4	4	no	—
1648	C₂×C₄	—	4	4	no	—
1649	C₂×C₄	—	4	8	no	—
1650	C₂×C₄	—	4	4	no	—
1651	C₂×C₄	—	4	8	no	—
1652	C₂×C₄	—	4	2	no	—
1653	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1654	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1655	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1656	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1658	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1659	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1660	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1661	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1662	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1663	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1665	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1666	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1667	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1668	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1669	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1670	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1671	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1672	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1673	C₂×C₃	—	2	4	no	—
1674	C₂×C₃	—	2	4	no	—
1675	C₂×C₃	—	4	1	no	—
1676	C₂×C₃	—	4	4	no	—
1677	C₂×C₃	—	4	4	no	—
1678	C₂×C₃	—	4	2	no	—
1679	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1680	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1681	C₂×C₃	C₂×#585	1	1	yes	characteristic
1682	C₂²	—	2	2	no	—
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	4	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	4	no	—
1690	C₂²	—	2	1	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	4	no	—
1693	C₂²	—	2	4	no	—
1694	C₂²	—	2	4	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	4	no	—
1697	C₂²	—	2	2	no	—
1698	C₂²	—	4	16	no	—
1699	C₂²	—	8	8	no	—
1700	C₂²	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1701	C₂²	C₂×C₃×2₋¹⁺⁴	1	4	yes	—
1702	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1703	C₄	—	2	2	no	—
1704	C₄	—	2	4	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	2	no	—
1707	C₄	—	2	4	no	—
1708	C₄	—	2	8	no	—
1709	C₄	—	2	2	no	—
1710	C₄	—	2	1	no	—
1711	C₄	—	2	2	no	—
1712	C₄	—	2	2	no	—
1713	C₄	—	2	2	no	—
1714	C₄	—	2	2	no	—
1715	C₄	—	2	4	no	—
1716	C₄	—	2	2	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	4	no	—
1719	C₄	—	2	2	no	—
1720	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1721	C₄	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1722	C₄	C₃×#585	1	2	yes	—
1723	C₃	#63013	1	1	yes	characteristic, direct product factor, Sylow
1724	C₂	—	2	4	no	—
1725	C₂	—	2	4	no	—
1726	C₂	—	4	4	no	—
1727	C₂	—	4	2	no	—
1728	C₂	—	4	4	no	—
1729	C₂	—	4	1	no	—
1730	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1731	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1732	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×#3559	C₂	semidirect
2. C₃×#3554	C₂	semidirect
3. C₃×#3552	C₂	semidirect
4. C₃×#3548	C₂	semidirect
5. C₃×#3544	C₂	semidirect
6. C₃×#3541	C₂	semidirect
7. C₃×#3536	C₂	semidirect
8. C₃×#3535	C₂	semidirect
9. C₃×#3522	C₂	semidirect
10. C₃×#3520	C₂	semidirect
11. C₃×#3520	C₂	semidirect
12. C₃×#3519	C₂	semidirect
13. C₃×#3515	C₂	semidirect
14. C₃×#3513	C₂	semidirect
15. C₃×#3511	C₂	semidirect
16. C₃×#3503	C₂	semidirect
17. C₃×#3501	C₂	semidirect
18. C₃×#3499	C₂	semidirect
19. C₃×#3492	C₂	semidirect
20. C₃×#3489	C₂	semidirect
21. C₃×#3482	C₂	semidirect
22. C₃×#3481	C₂	semidirect
23. C₃×#3481	C₂	semidirect
24. C₂×C₃×#554	C₂	semidirect
25. C₃×D₄×#41	C₂	semidirect
26. C₂×C₃×#547	C₂	semidirect
27. #63013	C₃	direct (N × H)
28. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
29. C₂²×C₃×#41	C₂²	semidirect
30. C₃×#563	C₂²	semidirect
31. C₃×#563	C₂²	semidirect
32. C₃×#562	C₂²	semidirect
33. C₃×#562	C₂²	semidirect
34. C₃×#562	C₂²	semidirect
35. C₃×#559	C₂²	semidirect
36. C₃×#559	C₂²	semidirect
37. C₃×#559	C₂²	semidirect
38. C₃×Q₈²	C₂²	semidirect
39. C₃×#557	C₂²	semidirect
40. C₃×#557	C₂²	semidirect
41. C₃×#556	C₂²	semidirect
42. C₃×#556	C₂²	semidirect
43. C₃×#556	C₂²	semidirect
44. C₃×#555	C₂²	semidirect
49. C₃×#554	C₂²	semidirect
50. C₃×#554	C₂²	semidirect
51. C₃×#554	C₂²	semidirect
52. C₃×#554	C₂²	semidirect
53. C₃×#554	C₂²	semidirect
54. C₃×#554	C₂²	semidirect
55. C₃×#554	C₂²	semidirect
56. C₃×#554	C₂²	semidirect
57. C₃×#554	C₂²	semidirect
58. C₃×#554	C₂²	semidirect
59. C₃×#554	C₂²	semidirect
60. C₃×#554	C₂²	semidirect
61. C₃×#554	C₂²	semidirect
62. C₃×#553	C₂²	semidirect
63. C₃×#553	C₂²	semidirect
64. C₃×#553	C₂²	semidirect
65. C₃×#553	C₂²	semidirect
66. C₃×#553	C₂²	semidirect
67. C₃×#553	C₂²	semidirect
68. C₃×#553	C₂²	semidirect
69. C₃×#553	C₂²	semidirect
70. C₃×#552	C₂²	semidirect
71. C₃×#552	C₂²	semidirect
72. C₃×#552	C₂²	semidirect
73. C₃×#552	C₂²	semidirect
74. C₃×#552	C₂²	semidirect
75. C₃×#552	C₂²	semidirect
76. C₃×#551	C₂²	semidirect
77. C₃×#551	C₂²	semidirect
78. C₃×#551	C₂²	semidirect
79. C₃×#551	C₂²	semidirect
80. C₃×#550	C₂²	semidirect
81. C₃×#550	C₂²	semidirect
83. C₃×D₄×Q₈	C₂²	semidirect
84. C₃×D₄×Q₈	C₂²	semidirect
85. C₃×D₄×Q₈	C₂²	semidirect
86. C₃×D₄×Q₈	C₂²	semidirect
87. C₃×D₄×Q₈	C₂²	semidirect
88. C₃×#548	C₂²	semidirect
89. C₃×#548	C₂²	semidirect
90. C₃×#548	C₂²	semidirect
91. C₃×#548	C₂²	semidirect
92. C₃×#548	C₂²	semidirect
94. C₃×#547	C₂²	semidirect
95. C₃×#547	C₂²	semidirect
96. C₃×#547	C₂²	semidirect
97. C₃×#547	C₂²	semidirect
98. C₃×#547	C₂²	semidirect
99. C₃×#547	C₂²	semidirect
100. C₃×#547	C₂²	semidirect
101. C₃×#547	C₂²	semidirect
102. C₃×#547	C₂²	semidirect
103. C₃×#547	C₂²	semidirect
104. C₃×#547	C₂²	semidirect
105. C₃×#547	C₂²	semidirect
106. C₃×#547	C₂²	semidirect
107. C₃×#547	C₂²	semidirect
108. C₃×#547	C₂²	semidirect
109. C₃×#547	C₂²	semidirect
112. C₃×#546	C₂²	semidirect
113. C₃×#546	C₂²	semidirect
114. C₃×#546	C₂²	semidirect
115. C₃×#546	C₂²	semidirect
116. C₃×#546	C₂²	semidirect
117. C₃×#546	C₂²	semidirect
118. C₃×#546	C₂²	semidirect
122. C₃×#544	C₂²	semidirect
123. C₃×#544	C₂²	semidirect
124. C₃×#544	C₂²	semidirect
125. C₃×#544	C₂²	semidirect
126. C₃×#543	C₂²	semidirect
127. C₃×#542	C₂²	semidirect
128. C₃×#542	C₂²	semidirect
129. C₃×#542	C₂²	semidirect
130. C₃×#542	C₂²	semidirect
131. C₃×#542	C₂²	semidirect
132. C₃×#542	C₂²	semidirect
133. C₃×#541	C₂²	semidirect
134. C₃×#540	C₂²	semidirect
135. C₃×#540	C₂²	semidirect
136. C₃×#539	C₂²	semidirect
137. C₃×#539	C₂²	semidirect
138. C₃×#539	C₂²	semidirect
139. C₃×#539	C₂²	semidirect
140. C₃×#539	C₂²	semidirect
141. C₃×#539	C₂²	semidirect
142. C₃×#538	C₂²	semidirect
143. C₃×#538	C₂²	semidirect
144. C₃×#537	C₂²	semidirect
145. C₃×#537	C₂²	semidirect
146. C₃×#537	C₂²	semidirect
147. C₃×#537	C₂²	semidirect
148. C₃×#536	C₂²	semidirect
149. C₃×#536	C₂²	semidirect
150. C₃×#536	C₂²	semidirect
151. C₃×#536	C₂²	semidirect
152. C₃×#533	C₂²	semidirect
153. C₃×#533	C₂²	semidirect
154. C₃×#533	C₂²	semidirect
155. C₃×#533	C₂²	semidirect
156. C₃×#532	C₂²	semidirect
157. C₃×#532	C₂²	semidirect
158. C₃×#532	C₂²	semidirect
159. C₃×#532	C₂²	semidirect
160. C₃×#532	C₂²	semidirect
161. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
162. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
163. C₂×C₃×C₄⋊Q₈	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. C₃×#529	C₂²	semidirect
171. C₂×C₃×#125	C₂²	semidirect
172. C₃×#525	C₂²	semidirect
173. C₃×#525	C₂²	semidirect
174. C₃×#525	C₂²	semidirect
175. C₃×#525	C₂²	semidirect
176. C₃×#525	C₂²	semidirect
177. C₃×#525	C₂²	semidirect
178. C₂×C₃×#123	C₂²	semidirect
179. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
180. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
181. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
182. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
183. C₂×C₃×#121	C₂²	semidirect
185. C₃×#520	C₂²	semidirect
186. C₃×#520	C₂²	semidirect
187. C₃×#520	C₂²	semidirect
190. C₃×C₄×#41	C₂²	semidirect
191. C₃×C₄×#41	C₂²	semidirect
192. C₃×C₄×#41	C₂²	semidirect
193. C₂×C₃×C₄×Q₈	C₂²	semidirect
197. C₂×C₃×C₄×D₄	C₂²	semidirect
198. C₂×C₃×C₄×D₄	C₂²	semidirect
199. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
200. #3559	C₂×C₃	semidirect
201. #3554	C₂×C₃	semidirect
202. #3552	C₂×C₃	semidirect
203. #3548	C₂×C₃	semidirect
204. #3544	C₂×C₃	semidirect
205. #3541	C₂×C₃	semidirect
206. #3536	C₂×C₃	semidirect
207. #3535	C₂×C₃	semidirect
208. #3522	C₂×C₃	semidirect
209. #3520	C₂×C₃	semidirect
210. #3520	C₂×C₃	semidirect
211. #3519	C₂×C₃	semidirect
212. #3515	C₂×C₃	semidirect
213. #3513	C₂×C₃	semidirect
214. #3511	C₂×C₃	semidirect
215. #3503	C₂×C₃	semidirect
216. #3501	C₂×C₃	semidirect
217. #3499	C₂×C₃	semidirect
218. #3492	C₂×C₃	semidirect
219. #3489	C₂×C₃	semidirect
220. #3482	C₂×C₃	semidirect
221. #3481	C₂×C₃	semidirect
222. #3481	C₂×C₃	semidirect
223. C₂×#554	C₂×C₃	semidirect
224. D₄×#41	C₂×C₃	semidirect
225. C₂×#547	C₂×C₃	semidirect
548. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
549. C₂²×#41	C₂²×C₃	semidirect
550. #563	C₂²×C₃	semidirect
551. #563	C₂²×C₃	semidirect
552. #562	C₂²×C₃	semidirect
553. #562	C₂²×C₃	semidirect
554. #562	C₂²×C₃	semidirect
555. #559	C₂²×C₃	semidirect
556. #559	C₂²×C₃	semidirect
557. #559	C₂²×C₃	semidirect
558. Q₈²	C₂²×C₃	semidirect
559. #557	C₂²×C₃	semidirect
560. #557	C₂²×C₃	semidirect
561. #556	C₂²×C₃	semidirect
562. #556	C₂²×C₃	semidirect
563. #556	C₂²×C₃	semidirect
564. #555	C₂²×C₃	semidirect
569. #554	C₂²×C₃	semidirect
570. #554	C₂²×C₃	semidirect
571. #554	C₂²×C₃	semidirect
572. #554	C₂²×C₃	semidirect
573. #554	C₂²×C₃	semidirect
574. #554	C₂²×C₃	semidirect
575. #554	C₂²×C₃	semidirect
576. #554	C₂²×C₃	semidirect
577. #554	C₂²×C₃	semidirect
578. #554	C₂²×C₃	semidirect
579. #554	C₂²×C₃	semidirect
580. #554	C₂²×C₃	semidirect
581. #554	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. #553	C₂²×C₃	semidirect
589. #553	C₂²×C₃	semidirect
590. #552	C₂²×C₃	semidirect
591. #552	C₂²×C₃	semidirect
592. #552	C₂²×C₃	semidirect
593. #552	C₂²×C₃	semidirect
594. #552	C₂²×C₃	semidirect
595. #552	C₂²×C₃	semidirect
596. #551	C₂²×C₃	semidirect
597. #551	C₂²×C₃	semidirect
598. #551	C₂²×C₃	semidirect
599. #551	C₂²×C₃	semidirect
600. #550	C₂²×C₃	semidirect
601. #550	C₂²×C₃	semidirect
603. D₄×Q₈	C₂²×C₃	semidirect
604. D₄×Q₈	C₂²×C₃	semidirect
605. D₄×Q₈	C₂²×C₃	semidirect
606. D₄×Q₈	C₂²×C₃	semidirect
607. D₄×Q₈	C₂²×C₃	semidirect
608. #548	C₂²×C₃	semidirect
609. #548	C₂²×C₃	semidirect
610. #548	C₂²×C₃	semidirect
611. #548	C₂²×C₃	semidirect
612. #548	C₂²×C₃	semidirect
614. #547	C₂²×C₃	semidirect
615. #547	C₂²×C₃	semidirect
616. #547	C₂²×C₃	semidirect
617. #547	C₂²×C₃	semidirect
618. #547	C₂²×C₃	semidirect
619. #547	C₂²×C₃	semidirect
620. #547	C₂²×C₃	semidirect
621. #547	C₂²×C₃	semidirect
622. #547	C₂²×C₃	semidirect
623. #547	C₂²×C₃	semidirect
624. #547	C₂²×C₃	semidirect
625. #547	C₂²×C₃	semidirect
626. #547	C₂²×C₃	semidirect
627. #547	C₂²×C₃	semidirect
628. #547	C₂²×C₃	semidirect
629. #547	C₂²×C₃	semidirect
632. #546	C₂²×C₃	semidirect
633. #546	C₂²×C₃	semidirect
634. #546	C₂²×C₃	semidirect
635. #546	C₂²×C₃	semidirect
636. #546	C₂²×C₃	semidirect
637. #546	C₂²×C₃	semidirect
638. #546	C₂²×C₃	semidirect
642. #544	C₂²×C₃	semidirect
643. #544	C₂²×C₃	semidirect
644. #544	C₂²×C₃	semidirect
645. #544	C₂²×C₃	semidirect
646. #543	C₂²×C₃	semidirect
647. #542	C₂²×C₃	semidirect
648. #542	C₂²×C₃	semidirect
649. #542	C₂²×C₃	semidirect
650. #542	C₂²×C₃	semidirect
651. #542	C₂²×C₃	semidirect
652. #542	C₂²×C₃	semidirect
653. #541	C₂²×C₃	semidirect
654. #540	C₂²×C₃	semidirect
655. #540	C₂²×C₃	semidirect
656. #539	C₂²×C₃	semidirect
657. #539	C₂²×C₃	semidirect
658. #539	C₂²×C₃	semidirect
659. #539	C₂²×C₃	semidirect
660. #539	C₂²×C₃	semidirect
661. #539	C₂²×C₃	semidirect
662. #538	C₂²×C₃	semidirect
663. #538	C₂²×C₃	semidirect
664. #537	C₂²×C₃	semidirect
665. #537	C₂²×C₃	semidirect
666. #537	C₂²×C₃	semidirect
667. #537	C₂²×C₃	semidirect
668. #536	C₂²×C₃	semidirect
669. #536	C₂²×C₃	semidirect
670. #536	C₂²×C₃	semidirect
671. #536	C₂²×C₃	semidirect
672. #533	C₂²×C₃	semidirect
673. #533	C₂²×C₃	semidirect
674. #533	C₂²×C₃	semidirect
675. #533	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. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
682. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
683. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
684. #529	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. C₂×#125	C₂²×C₃	semidirect
692. #525	C₂²×C₃	semidirect
693. #525	C₂²×C₃	semidirect
694. #525	C₂²×C₃	semidirect
695. #525	C₂²×C₃	semidirect
696. #525	C₂²×C₃	semidirect
697. #525	C₂²×C₃	semidirect
698. C₂×#123	C₂²×C₃	semidirect
699. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
700. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
701. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
702. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
703. C₂×#121	C₂²×C₃	semidirect
705. #520	C₂²×C₃	semidirect
706. #520	C₂²×C₃	semidirect
707. #520	C₂²×C₃	semidirect
710. C₄×#41	C₂²×C₃	semidirect
711. C₄×#41	C₂²×C₃	semidirect
712. C₄×#41	C₂²×C₃	semidirect
713. C₂×C₄×Q₈	C₂²×C₃	semidirect
717. C₂×C₄×D₄	C₂²×C₃	semidirect
718. C₂×C₄×D₄	C₂²×C₃	semidirect
719. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
1287. C₃×D₄	2₋¹⁺⁴	semidirect
1623. D₄	C₃×2₋¹⁺⁴	semidirect
1723. C₃	#63013	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×#3559	2
C₃×#3554	2
C₃×#3552	2
C₃×#3548	2
C₃×#3544	2
C₃×#3541	2
C₃×#3536	2
C₃×#3535	2
C₃×#3522	2
C₃×#3520	2
C₃×#3519	2
C₃×#3515	2
C₃×#3513	2
C₃×#3511	2
C₃×#3503	2
C₃×#3501	2
C₃×#3499	2
C₃×#3492	2
C₃×#3489	2
C₃×#3482	2
C₃×#3481	2
C₂×C₃×#554	2
C₃×D₄×#41	2
C₂×C₃×#547	2
#63013	3

Subgroups — C3×#63013 #10681620

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#63013 #10681620