Subgroups — C₃×#62925 #10681532

Order 768.

7090 conjugacy classes of subgroups.

The subgroup lattice has 1768 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×#3554	C₂	1	4	yes	maximal, complemented
3	C₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₃×#3548	C₂	1	2	yes	maximal, complemented
5	C₃×#3547	C₂	1	2	yes	maximal, complemented
6	C₃×#3546	C₂	1	2	yes	maximal, complemented
7	C₃×#3542	C₂	1	4	yes	maximal, complemented
8	C₃×#3541	C₂	1	4	yes	maximal, complemented
9	C₃×#3539	C₂	1	4	yes	maximal, complemented
10	C₃×#3533	C₂	1	8	yes	maximal, complemented
11	C₃×#3520	C₂	1	2	yes	maximal, complemented
12	C₃×#3517	C₂	1	2	yes	maximal, complemented
13	C₃×#3511	C₂	1	2	yes	maximal, complemented
14	C₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3506	C₂	1	2	yes	maximal, complemented
17	C₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3495	C₂	1	2	yes	maximal, complemented
19	C₃×#3492	C₂	1	4	yes	maximal, complemented
20	C₃×#3489	C₂	1	2	yes	maximal, complemented
21	C₃×#3487	C₂	1	2	yes	maximal, complemented
22	C₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3449	C₂	1	2	yes	maximal, complemented
27	#62925	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	2	yes	—
30	C₂²×C₃×#41	C₂²	1	2	yes	complemented
31	C₃×#563	C₂²	1	8	yes	complemented
32	C₃×#562	C₂²	1	8	yes	complemented
33	C₃×#562	C₂²	1	8	yes	complemented
34	C₃×#562	C₂²	1	8	yes	complemented
35	C₃×#560	C₂²	1	8	yes	complemented
36	C₃×#560	C₂²	1	8	yes	complemented
37	C₃×#559	C₂²	1	8	yes	complemented
38	C₃×#559	C₂²	1	4	yes	complemented
39	C₃×#557	C₂²	1	2	yes	complemented
40	C₃×#557	C₂²	1	2	yes	complemented
41	C₃×#556	C₂²	1	1	yes	characteristic, complemented
42	C₃×#556	C₂²	1	4	yes	complemented
43	C₃×#556	C₂²	1	2	yes	complemented
44	C₃×#556	C₂²	1	2	yes	complemented
45	C₃×#556	C₂²	1	2	yes	complemented
46	C₃×#555	C₂²	1	1	yes	characteristic, complemented
47	C₃×#555	C₂²	1	2	yes	complemented
48	C₃×#555	C₂²	1	4	yes	complemented
49	C₃×#554	C₂²	1	1	yes	characteristic, complemented
50	C₃×#554	C₂²	1	4	yes	complemented
51	C₃×#554	C₂²	1	8	yes	complemented
52	C₃×#554	C₂²	1	4	yes	complemented
53	C₃×#554	C₂²	1	4	yes	complemented
54	C₃×#553	C₂²	1	2	yes	complemented
55	C₃×#553	C₂²	1	4	yes	complemented
56	C₃×#553	C₂²	1	8	yes	complemented
57	C₃×#553	C₂²	1	4	yes	complemented
58	C₃×#553	C₂²	1	4	yes	complemented
59	C₃×#553	C₂²	1	4	yes	complemented
60	C₃×#553	C₂²	1	8	yes	complemented
61	C₃×#553	C₂²	1	8	yes	complemented
62	C₃×#552	C₂²	1	2	yes	complemented
63	C₃×#552	C₂²	1	2	yes	complemented
64	C₃×#552	C₂²	1	8	yes	complemented
65	C₃×#552	C₂²	1	4	yes	complemented
66	C₃×#552	C₂²	1	4	yes	complemented
67	C₃×#552	C₂²	1	4	yes	complemented
68	C₃×#552	C₂²	1	4	yes	complemented
69	C₃×#551	C₂²	1	4	yes	complemented
70	C₃×#551	C₂²	1	8	yes	complemented
71	C₃×#551	C₂²	1	8	yes	complemented
72	C₃×#550	C₂²	1	1	yes	characteristic, complemented
73	C₃×#550	C₂²	1	4	yes	complemented
74	C₃×#550	C₂²	1	4	yes	complemented
75	C₃×#550	C₂²	1	4	yes	complemented
76	C₃×#550	C₂²	1	4	yes	complemented
77	C₃×#550	C₂²	1	2	yes	complemented
78	C₃×#550	C₂²	1	4	yes	complemented
79	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
80	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
81	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
82	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
83	C₃×#548	C₂²	1	2	yes	complemented
84	C₃×#548	C₂²	1	4	yes	complemented
85	C₃×#548	C₂²	1	4	yes	complemented
86	C₃×#548	C₂²	1	4	yes	complemented
87	C₃×#548	C₂²	1	4	yes	complemented
88	C₃×#548	C₂²	1	4	yes	complemented
89	C₃×#547	C₂²	1	2	yes	—
90	C₃×#547	C₂²	1	2	yes	—
91	C₃×#547	C₂²	1	2	yes	—
92	C₃×#547	C₂²	1	2	yes	complemented
93	C₃×#547	C₂²	1	4	yes	complemented
94	C₃×#547	C₂²	1	2	yes	complemented
95	C₃×#547	C₂²	1	4	yes	complemented
96	C₃×#547	C₂²	1	1	yes	characteristic, complemented
97	C₃×#547	C₂²	1	1	yes	characteristic, 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	4	yes	complemented
103	C₃×#547	C₂²	1	2	yes	complemented
104	C₃×#547	C₂²	1	2	yes	complemented
105	C₃×#546	C₂²	1	4	yes	—
106	C₃×#546	C₂²	1	2	yes	—
107	C₃×#546	C₂²	1	2	yes	complemented
108	C₃×#546	C₂²	1	8	yes	complemented
109	C₃×#546	C₂²	1	4	yes	complemented
110	C₃×#546	C₂²	1	4	yes	complemented
111	C₃×D₄²	C₂²	1	2	yes	—
112	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
113	C₃×#544	C₂²	1	1	yes	characteristic, complemented
114	C₃×#544	C₂²	1	4	yes	complemented
115	C₃×#542	C₂²	1	2	yes	complemented
116	C₃×#542	C₂²	1	2	yes	complemented
117	C₃×#542	C₂²	1	4	yes	complemented
118	C₃×#542	C₂²	1	8	yes	complemented
119	C₃×#542	C₂²	1	4	yes	complemented
120	C₃×#542	C₂²	1	8	yes	complemented
121	C₃×#541	C₂²	1	4	yes	complemented
122	C₃×#541	C₂²	1	4	yes	complemented
123	C₃×#540	C₂²	1	2	yes	complemented
124	C₃×#540	C₂²	1	2	yes	complemented
125	C₃×#540	C₂²	1	8	yes	complemented
126	C₃×#540	C₂²	1	4	yes	complemented
127	C₃×#540	C₂²	1	8	yes	complemented
128	C₃×#540	C₂²	1	8	yes	complemented
129	C₃×#539	C₂²	1	8	yes	complemented
130	C₃×#539	C₂²	1	8	yes	complemented
131	C₃×#539	C₂²	1	8	yes	complemented
132	C₃×#539	C₂²	1	8	yes	complemented
133	C₃×#538	C₂²	1	4	yes	complemented
134	C₃×#538	C₂²	1	4	yes	complemented
135	C₃×#538	C₂²	1	8	yes	complemented
136	C₃×#538	C₂²	1	8	yes	complemented
137	C₃×#538	C₂²	1	8	yes	complemented
138	C₃×#537	C₂²	1	1	yes	characteristic
139	C₃×#537	C₂²	1	4	yes	complemented
140	C₃×#537	C₂²	1	4	yes	complemented
141	C₃×#537	C₂²	1	4	yes	complemented
142	C₃×#537	C₂²	1	4	yes	complemented
143	C₃×#537	C₂²	1	4	yes	complemented
144	C₃×#536	C₂²	1	2	yes	—
145	C₃×#536	C₂²	1	2	yes	complemented
146	C₃×#536	C₂²	1	4	yes	complemented
147	C₃×#536	C₂²	1	4	yes	complemented
148	C₃×#536	C₂²	1	4	yes	complemented
149	C₃×#535	C₂²	1	1	yes	characteristic
150	C₃×#535	C₂²	1	2	yes	complemented
151	C₃×#535	C₂²	1	4	yes	complemented
152	C₃×#535	C₂²	1	1	yes	characteristic, complemented
153	C₃×#535	C₂²	1	8	yes	complemented
154	C₃×#535	C₂²	1	4	yes	complemented
155	C₃×#534	C₂²	1	8	yes	complemented
156	C₃×#533	C₂²	1	1	yes	characteristic, complemented
157	C₃×#533	C₂²	1	4	yes	complemented
158	C₃×#533	C₂²	1	2	yes	complemented
159	C₃×#533	C₂²	1	2	yes	complemented
160	C₃×#532	C₂²	1	1	yes	characteristic
161	C₃×#532	C₂²	1	4	yes	complemented
162	C₃×#532	C₂²	1	4	yes	complemented
163	C₃×#532	C₂²	1	2	yes	complemented
164	C₃×#532	C₂²	1	2	yes	complemented
165	C₃×#532	C₂²	1	2	yes	complemented
166	C₃×#532	C₂²	1	2	yes	complemented
167	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
169	C₃×#529	C₂²	1	2	yes	complemented
170	C₃×#529	C₂²	1	2	yes	complemented
171	C₃×#529	C₂²	1	2	yes	complemented
172	C₃×#529	C₂²	1	4	yes	complemented
173	C₃×#529	C₂²	1	4	yes	complemented
174	C₃×#525	C₂²	1	2	yes	—
175	C₃×#525	C₂²	1	8	yes	complemented
176	C₃×#525	C₂²	1	4	yes	complemented
177	C₃×#525	C₂²	1	4	yes	complemented
178	C₃×#525	C₂²	1	4	yes	complemented
179	C₃×#525	C₂²	1	4	yes	complemented
180	C₃×#525	C₂²	1	2	yes	complemented
181	C₃×#525	C₂²	1	8	yes	complemented
182	C₃×#525	C₂²	1	4	yes	complemented
183	C₃×#525	C₂²	1	4	yes	complemented
184	C₂×C₃×#123	C₂²	1	4	yes	complemented
185	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
186	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
187	C₂×C₃×#121	C₂²	1	2	yes	—
188	C₃×#520	C₂²	1	2	yes	complemented
189	C₃×#520	C₂²	1	4	yes	complemented
190	C₃×#520	C₂²	1	4	yes	complemented
191	C₃×#519	C₂²	1	2	yes	complemented
192	C₃×C₄×#41	C₂²	1	1	yes	characteristic
193	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
194	C₃×C₄×#41	C₂²	1	2	yes	complemented
195	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
196	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₃×C₄×D₄	C₂²	1	2	yes	complemented
198	C₂×C₃×#117	C₂²	1	2	yes	complemented
199	C₂²×C₃×C₄⋊C₄	C₂²	1	2	yes	complemented
200	#3562	C₂×C₃	1	4	yes	complemented
201	#3554	C₂×C₃	1	4	yes	complemented
202	#3552	C₂×C₃	1	2	yes	complemented
203	#3548	C₂×C₃	1	2	yes	complemented
204	#3547	C₂×C₃	1	2	yes	complemented
205	#3546	C₂×C₃	1	2	yes	complemented
206	#3542	C₂×C₃	1	4	yes	complemented
207	#3541	C₂×C₃	1	4	yes	complemented
208	#3539	C₂×C₃	1	4	yes	complemented
209	#3533	C₂×C₃	1	8	yes	complemented
210	#3520	C₂×C₃	1	2	yes	complemented
211	#3517	C₂×C₃	1	2	yes	complemented
212	#3511	C₂×C₃	1	2	yes	complemented
213	#3509	C₂×C₃	1	1	yes	characteristic, complemented
214	#3506	C₂×C₃	1	1	yes	characteristic, complemented
215	#3506	C₂×C₃	1	2	yes	complemented
216	#3499	C₂×C₃	1	1	yes	characteristic, complemented
217	#3495	C₂×C₃	1	2	yes	complemented
218	#3492	C₂×C₃	1	4	yes	complemented
219	#3489	C₂×C₃	1	2	yes	complemented
220	#3487	C₂×C₃	1	2	yes	complemented
221	#3475	C₂×C₃	1	1	yes	characteristic, complemented
222	D₄×#41	C₂×C₃	1	1	yes	characteristic, complemented
223	C₂×#547	C₂×C₃	1	1	yes	characteristic, complemented
224	#3460	C₂×C₃	1	1	yes	characteristic, complemented
225	#3449	C₂×C₃	1	2	yes	complemented
226	C₃×2₋¹⁺⁴	—	4	8	no	—
227	C₂×C₃×#41	—	4	8	no	—
228	C₂×C₃×#41	—	4	8	no	—
229	C₂×C₃×#41	C₂³	1	1	yes	characteristic
230	C₂×C₃×#41	C₂³	1	2	yes	—
231	C₂×C₃×#41	C₂³	1	1	yes	characteristic
232	C₂×C₃×#41	C₂³	1	4	yes	—
233	C₂×C₃×#41	C₂³	1	4	yes	—
234	C₂×C₃×#41	C₂³	1	2	yes	—
235	C₂×C₃×#41	C₂³	1	2	yes	—
236	C₂×C₃×#41	C₂³	1	4	yes	—
237	C₂×C₃×#41	C₂³	1	4	yes	—
238	C₂×C₃×#41	C₂³	1	4	yes	—
239	C₂×C₃×#41	C₂³	1	4	yes	—
240	C₂×C₃×#41	C₂³	1	8	yes	—
241	C₂×C₃×#41	C₂³	1	4	yes	—
242	C₂×C₃×#41	C₂³	1	4	yes	—
243	C₂×C₃×#41	C₂³	1	2	yes	—
244	C₂×C₃×#41	C₂³	1	4	yes	—
245	C₂×C₃×#41	C₂³	1	4	yes	—
246	C₂²×C₃×Q₈	C₂³	1	2	yes	—
247	C₂²×C₃×Q₈	C₂³	1	2	yes	—
248	C₂²×C₃×Q₈	C₂³	1	4	yes	—
249	C₂²×C₃×Q₈	C₂³	1	4	yes	—
250	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
251	C₂²×C₃×D₄	C₂³	1	4	yes	—
252	C₂²×C₃×D₄	C₂³	1	2	yes	—
253	C₂²×C₃×D₄	C₂³	1	4	yes	—
254	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
255	C₂²×C₃×D₄	C₂³	1	2	yes	—
256	C₂³×C₃×C₄	C₂³	1	2	yes	—
257	C₂³×C₃×C₄	C₂³	1	4	yes	—
258	C₂³×C₃×C₄	C₂³	1	4	yes	—
259	C₂³×C₃×C₄	C₂³	1	2	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	2	yes	—
264	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
265	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
266	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
267	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
268	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
269	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
270	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
271	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
272	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
273	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
274	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
275	C₃×#127	C₂³	1	8	yes	—
276	C₃×#127	C₂³	1	4	yes	—
277	C₃×#127	C₂³	1	8	yes	—
278	C₃×#127	C₂³	1	1	yes	characteristic
279	C₃×#127	C₂³	1	2	yes	—
280	C₃×#127	C₂³	1	2	yes	—
281	C₃×#127	C₂³	1	2	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	8	yes	—
289	C₃×#126	C₂³	1	8	yes	—
290	C₃×#126	C₂³	1	4	yes	—
291	C₃×#126	C₂³	1	8	yes	—
292	C₃×#126	C₂³	1	4	yes	—
293	C₃×#126	C₂³	1	4	yes	—
294	C₃×#125	C₂³	1	4	yes	—
295	C₃×#125	C₂³	1	8	yes	—
296	C₃×#125	C₂³	1	8	yes	—
297	C₃×#125	C₂³	1	8	yes	—
298	C₃×#125	C₂³	1	8	yes	—
299	C₃×#125	C₂³	1	2	yes	—
300	C₃×#125	C₂³	1	4	yes	—
301	C₃×#125	C₂³	1	2	yes	—
302	C₃×#125	C₂³	1	2	yes	—
303	C₃×#125	C₂³	1	8	yes	—
304	C₃×#125	C₂³	1	4	yes	—
305	C₃×#125	C₂³	1	2	yes	—
306	C₃×#124	C₂³	1	4	yes	—
307	C₃×#124	C₂³	1	8	yes	—
308	C₃×#124	C₂³	1	4	yes	—
309	C₃×#124	C₂³	1	2	yes	—
310	C₃×#124	C₂³	1	8	yes	—
311	C₃×#124	C₂³	1	4	yes	—
312	C₃×#124	C₂³	1	4	yes	—
313	C₃×#124	C₂³	1	8	yes	—
314	C₃×#124	C₂³	1	8	yes	—
315	C₃×#124	C₂³	1	8	yes	—
316	C₃×#124	C₂³	1	2	yes	—
317	C₃×#124	C₂³	1	4	yes	—
318	C₃×#124	C₂³	1	2	yes	—
319	C₃×#124	C₂³	1	2	yes	—
320	C₃×#124	C₂³	1	4	yes	—
321	C₃×#124	C₂³	1	4	yes	—
322	C₃×#123	C₂³	1	8	yes	—
323	C₃×#123	C₂³	1	8	yes	—
324	C₃×#123	C₂³	1	8	yes	—
325	C₃×#123	C₂³	1	8	yes	—
326	C₃×#123	C₂³	1	8	yes	—
327	C₃×#123	C₂³	1	8	yes	—
328	C₃×#123	C₂³	1	4	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	8	yes	—
334	C₃×#123	C₂³	1	4	yes	—
335	C₃×#123	C₂³	1	4	yes	—
336	C₃×#123	C₂³	1	4	yes	—
337	C₃×#123	C₂³	1	8	yes	—
338	C₃×#123	C₂³	1	8	yes	—
339	C₃×#123	C₂³	1	8	yes	—
340	C₃×#123	C₂³	1	4	yes	—
341	C₃×#123	C₂³	1	4	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	4	yes	—
346	C₃×#123	C₂³	1	4	yes	—
347	C₃×#123	C₂³	1	4	yes	—
348	C₃×#123	C₂³	1	4	yes	—
349	C₃×#123	C₂³	1	4	yes	—
350	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
351	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
352	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
354	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
356	C₃×C₂²⋊Q₈	C₂³	1	8	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	8	yes	—
361	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
362	C₃×C₂²⋊Q₈	C₂³	1	4	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	4	yes	—
367	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
368	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
369	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
370	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
371	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
372	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
374	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
375	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
376	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
377	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
378	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
379	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
380	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
381	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
382	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
383	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
384	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
385	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
386	C₃×#121	C₂³	1	4	yes	—
387	C₃×#121	C₂³	1	4	yes	—
388	C₃×#121	C₂³	1	4	yes	—
389	C₃×#121	C₂³	1	4	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	4	yes	—
399	C₃×#121	C₂³	1	8	yes	—
400	C₃×#121	C₂³	1	4	yes	—
401	C₃×#121	C₂³	1	8	yes	—
402	C₃×#121	C₂³	1	8	yes	—
403	C₃×#121	C₂³	1	8	yes	—
404	C₃×#121	C₂³	1	8	yes	—
405	C₃×#121	C₂³	1	4	yes	—
406	C₃×#121	C₂³	1	4	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	2	yes	—
411	C₃×#121	C₂³	1	2	yes	—
412	C₃×#121	C₂³	1	2	yes	—
413	C₃×#121	C₂³	1	2	yes	—
414	C₃×#121	C₂³	1	8	yes	—
415	C₃×#121	C₂³	1	4	yes	—
416	C₃×#121	C₂³	1	4	yes	—
417	C₃×#121	C₂³	1	4	yes	—
418	C₃×#121	C₂³	1	4	yes	—
419	C₃×#121	C₂³	1	2	yes	—
420	C₃×#121	C₂³	1	8	yes	—
421	C₃×#121	C₂³	1	4	yes	—
422	C₃×#121	C₂³	1	2	yes	—
423	C₃×#121	C₂³	1	2	yes	—
424	C₃×#121	C₂³	1	2	yes	—
425	C₃×#121	C₂³	1	8	yes	—
426	C₃×#121	C₂³	1	8	yes	—
427	C₃×#121	C₂³	1	4	yes	—
428	C₃×#121	C₂³	1	2	yes	—
429	C₃×#121	C₂³	1	2	yes	—
430	C₃×#121	C₂³	1	2	yes	—
431	C₃×#121	C₂³	1	2	yes	—
432	C₃×#121	C₂³	1	4	yes	—
433	C₃×#120	C₂³	1	8	yes	—
434	C₃×#120	C₂³	1	8	yes	—
435	C₃×#120	C₂³	1	4	yes	—
436	C₃×#120	C₂³	1	4	yes	—
437	C₃×#120	C₂³	1	4	yes	—
438	C₃×#120	C₂³	1	4	yes	—
439	C₃×#120	C₂³	1	8	yes	—
440	C₃×#120	C₂³	1	4	yes	—
441	C₃×#120	C₂³	1	8	yes	—
442	C₃×#120	C₂³	1	4	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	8	yes	—
447	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
448	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
449	C₃×C₄×Q₈	C₂³	1	2	yes	—
450	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
451	C₃×C₄×Q₈	C₂³	1	2	yes	—
452	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
453	C₃×C₄×Q₈	C₂³	1	4	yes	—
454	C₃×C₄×Q₈	C₂³	1	4	yes	—
455	C₃×C₄×Q₈	C₂³	1	4	yes	—
456	C₃×C₄×Q₈	C₂³	1	4	yes	—
457	C₃×C₄×Q₈	C₂³	1	4	yes	—
458	C₃×C₄×D₄	C₂³	1	4	yes	—
459	C₃×C₄×D₄	C₂³	1	2	yes	—
460	C₃×C₄×D₄	C₂³	1	8	yes	—
461	C₃×C₄×D₄	C₂³	1	4	yes	—
462	C₃×C₄×D₄	C₂³	1	8	yes	—
463	C₃×C₄×D₄	C₂³	1	8	yes	—
464	C₃×C₄×D₄	C₂³	1	8	yes	—
465	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
466	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
467	C₃×C₄×D₄	C₂³	1	2	yes	—
468	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
469	C₃×C₄×D₄	C₂³	1	2	yes	—
470	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
471	C₃×C₄×D₄	C₂³	1	2	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	2	yes	—
476	C₃×C₄×D₄	C₂³	1	2	yes	—
477	C₃×C₄×D₄	C₂³	1	2	yes	—
478	C₃×C₄×D₄	C₂³	1	2	yes	—
479	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
480	C₃×C₄×D₄	C₂³	1	2	yes	—
481	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
482	C₃×C₄×D₄	C₂³	1	2	yes	—
483	C₃×C₄×D₄	C₂³	1	4	yes	—
484	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
485	C₃×C₄×D₄	C₂³	1	2	yes	—
486	C₃×C₄×D₄	C₂³	1	2	yes	—
487	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
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	8	yes	—
492	C₃×C₄×D₄	C₂³	1	8	yes	—
493	C₃×C₄×D₄	C₂³	1	8	yes	—
494	C₃×C₄×D₄	C₂³	1	4	yes	—
495	C₃×C₄×D₄	C₂³	1	4	yes	—
496	C₃×C₄×D₄	C₂³	1	2	yes	—
497	C₃×C₄×D₄	C₂³	1	8	yes	—
498	C₃×C₄×D₄	C₂³	1	4	yes	—
499	C₃×C₄×D₄	C₂³	1	4	yes	—
500	C₃×C₄×D₄	C₂³	1	4	yes	—
501	C₃×C₄×D₄	C₂³	1	8	yes	—
502	C₃×C₄×D₄	C₂³	1	8	yes	—
503	C₃×C₄×D₄	C₂³	1	8	yes	—
504	C₃×C₄×D₄	C₂³	1	4	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	2	yes	—
509	C₃×#117	C₂³	1	2	yes	—
510	C₃×#117	C₂³	1	4	yes	—
511	C₃×#117	C₂³	1	1	yes	characteristic
512	C₃×#117	C₂³	1	2	yes	—
513	C₃×#117	C₂³	1	2	yes	—
514	C₃×#117	C₂³	1	2	yes	—
515	C₃×#117	C₂³	1	4	yes	—
516	C₃×#117	C₂³	1	8	yes	—
517	C₃×#117	C₂³	1	4	yes	—
518	C₃×#117	C₂³	1	4	yes	—
519	C₃×#117	C₂³	1	4	yes	—
520	C₃×#117	C₂³	1	8	yes	—
521	C₃×#117	C₂³	1	4	yes	—
522	C₃×#117	C₂³	1	4	yes	—
523	C₃×#117	C₂³	1	8	yes	—
524	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
525	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
526	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
527	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
528	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
529	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
530	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
531	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
532	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
533	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
534	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
535	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
536	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
537	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
538	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
539	C₂×C₃×C₂²⋊C₄	C₂³	1	4	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	4	yes	—
543	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
544	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
545	C₂×C₃×C₄²	C₂³	1	4	yes	—
546	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
547	C₂×C₃×C₄²	C₂³	1	2	yes	—
548	C₂×C₃×C₄²	C₂³	1	2	yes	—
549	C₂×2₋¹⁺⁴	C₂²×C₃	1	2	yes	complemented
550	C₂²×#41	C₂²×C₃	1	2	yes	—
551	C₂²×#41	C₂²×C₃	1	2	yes	complemented
552	#563	C₂²×C₃	1	8	yes	complemented
553	#562	C₂²×C₃	1	8	yes	complemented
554	#562	C₂²×C₃	1	8	yes	complemented
555	#562	C₂²×C₃	1	8	yes	complemented
556	#560	C₂²×C₃	1	8	yes	complemented
557	#560	C₂²×C₃	1	8	yes	complemented
558	#559	C₂²×C₃	1	8	yes	complemented
559	#559	C₂²×C₃	1	4	yes	complemented
560	#557	C₂²×C₃	1	2	yes	complemented
561	#557	C₂²×C₃	1	2	yes	complemented
562	#556	C₂²×C₃	1	1	yes	characteristic, complemented
563	#556	C₂²×C₃	1	4	yes	complemented
564	#556	C₂²×C₃	1	2	yes	complemented
565	#556	C₂²×C₃	1	2	yes	complemented
566	#556	C₂²×C₃	1	2	yes	complemented
567	#555	C₂²×C₃	1	1	yes	characteristic, complemented
568	#555	C₂²×C₃	1	2	yes	complemented
569	#555	C₂²×C₃	1	4	yes	complemented
570	#554	C₂²×C₃	1	1	yes	characteristic, complemented
571	#554	C₂²×C₃	1	4	yes	complemented
572	#554	C₂²×C₃	1	8	yes	complemented
573	#554	C₂²×C₃	1	4	yes	complemented
574	#554	C₂²×C₃	1	4	yes	complemented
575	#553	C₂²×C₃	1	2	yes	complemented
576	#553	C₂²×C₃	1	4	yes	complemented
577	#553	C₂²×C₃	1	8	yes	complemented
578	#553	C₂²×C₃	1	4	yes	complemented
579	#553	C₂²×C₃	1	4	yes	complemented
580	#553	C₂²×C₃	1	4	yes	complemented
581	#553	C₂²×C₃	1	8	yes	complemented
582	#553	C₂²×C₃	1	8	yes	complemented
583	#552	C₂²×C₃	1	2	yes	complemented
584	#552	C₂²×C₃	1	2	yes	complemented
585	#552	C₂²×C₃	1	8	yes	complemented
586	#552	C₂²×C₃	1	4	yes	complemented
587	#552	C₂²×C₃	1	4	yes	complemented
588	#552	C₂²×C₃	1	4	yes	complemented
589	#552	C₂²×C₃	1	4	yes	complemented
590	#551	C₂²×C₃	1	4	yes	complemented
591	#551	C₂²×C₃	1	8	yes	complemented
592	#551	C₂²×C₃	1	8	yes	complemented
593	#550	C₂²×C₃	1	1	yes	characteristic, complemented
594	#550	C₂²×C₃	1	4	yes	complemented
595	#550	C₂²×C₃	1	4	yes	complemented
596	#550	C₂²×C₃	1	4	yes	complemented
597	#550	C₂²×C₃	1	4	yes	complemented
598	#550	C₂²×C₃	1	2	yes	complemented
599	#550	C₂²×C₃	1	4	yes	complemented
600	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
601	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
602	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
603	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
604	#548	C₂²×C₃	1	2	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	#548	C₂²×C₃	1	4	yes	complemented
610	#547	C₂²×C₃	1	2	yes	—
611	#547	C₂²×C₃	1	2	yes	—
612	#547	C₂²×C₃	1	2	yes	—
613	#547	C₂²×C₃	1	2	yes	complemented
614	#547	C₂²×C₃	1	4	yes	complemented
615	#547	C₂²×C₃	1	2	yes	complemented
616	#547	C₂²×C₃	1	4	yes	complemented
617	#547	C₂²×C₃	1	1	yes	characteristic, complemented
618	#547	C₂²×C₃	1	1	yes	characteristic, complemented
619	#547	C₂²×C₃	1	8	yes	complemented
620	#547	C₂²×C₃	1	4	yes	complemented
621	#547	C₂²×C₃	1	4	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	2	yes	complemented
626	#546	C₂²×C₃	1	4	yes	—
627	#546	C₂²×C₃	1	2	yes	—
628	#546	C₂²×C₃	1	2	yes	complemented
629	#546	C₂²×C₃	1	8	yes	complemented
630	#546	C₂²×C₃	1	4	yes	complemented
631	#546	C₂²×C₃	1	4	yes	complemented
632	D₄²	C₂²×C₃	1	2	yes	—
633	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
634	#544	C₂²×C₃	1	1	yes	characteristic, complemented
635	#544	C₂²×C₃	1	4	yes	complemented
636	#542	C₂²×C₃	1	2	yes	complemented
637	#542	C₂²×C₃	1	2	yes	complemented
638	#542	C₂²×C₃	1	4	yes	complemented
639	#542	C₂²×C₃	1	8	yes	complemented
640	#542	C₂²×C₃	1	4	yes	complemented
641	#542	C₂²×C₃	1	8	yes	complemented
642	#541	C₂²×C₃	1	4	yes	complemented
643	#541	C₂²×C₃	1	4	yes	complemented
644	#540	C₂²×C₃	1	2	yes	complemented
645	#540	C₂²×C₃	1	2	yes	complemented
646	#540	C₂²×C₃	1	8	yes	complemented
647	#540	C₂²×C₃	1	4	yes	complemented
648	#540	C₂²×C₃	1	8	yes	complemented
649	#540	C₂²×C₃	1	8	yes	complemented
650	#539	C₂²×C₃	1	8	yes	complemented
651	#539	C₂²×C₃	1	8	yes	complemented
652	#539	C₂²×C₃	1	8	yes	complemented
653	#539	C₂²×C₃	1	8	yes	complemented
654	#538	C₂²×C₃	1	4	yes	complemented
655	#538	C₂²×C₃	1	4	yes	complemented
656	#538	C₂²×C₃	1	8	yes	complemented
657	#538	C₂²×C₃	1	8	yes	complemented
658	#538	C₂²×C₃	1	8	yes	complemented
659	#537	C₂²×C₃	1	1	yes	characteristic
660	#537	C₂²×C₃	1	4	yes	complemented
661	#537	C₂²×C₃	1	4	yes	complemented
662	#537	C₂²×C₃	1	4	yes	complemented
663	#537	C₂²×C₃	1	4	yes	complemented
664	#537	C₂²×C₃	1	4	yes	complemented
665	#536	C₂²×C₃	1	2	yes	—
666	#536	C₂²×C₃	1	2	yes	complemented
667	#536	C₂²×C₃	1	4	yes	complemented
668	#536	C₂²×C₃	1	4	yes	complemented
669	#536	C₂²×C₃	1	4	yes	complemented
670	#535	C₂²×C₃	1	1	yes	characteristic
671	#535	C₂²×C₃	1	2	yes	complemented
672	#535	C₂²×C₃	1	4	yes	complemented
673	#535	C₂²×C₃	1	1	yes	characteristic, complemented
674	#535	C₂²×C₃	1	8	yes	complemented
675	#535	C₂²×C₃	1	4	yes	complemented
676	#534	C₂²×C₃	1	8	yes	complemented
677	#533	C₂²×C₃	1	1	yes	characteristic, complemented
678	#533	C₂²×C₃	1	4	yes	complemented
679	#533	C₂²×C₃	1	2	yes	complemented
680	#533	C₂²×C₃	1	2	yes	complemented
681	#532	C₂²×C₃	1	1	yes	characteristic
682	#532	C₂²×C₃	1	4	yes	complemented
683	#532	C₂²×C₃	1	4	yes	complemented
684	#532	C₂²×C₃	1	2	yes	complemented
685	#532	C₂²×C₃	1	2	yes	complemented
686	#532	C₂²×C₃	1	2	yes	complemented
687	#532	C₂²×C₃	1	2	yes	complemented
688	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
689	C₂×C₄⋊Q₈	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	4	yes	complemented
694	#529	C₂²×C₃	1	4	yes	complemented
695	#525	C₂²×C₃	1	2	yes	—
696	#525	C₂²×C₃	1	8	yes	complemented
697	#525	C₂²×C₃	1	4	yes	complemented
698	#525	C₂²×C₃	1	4	yes	complemented
699	#525	C₂²×C₃	1	4	yes	complemented
700	#525	C₂²×C₃	1	4	yes	complemented
701	#525	C₂²×C₃	1	2	yes	complemented
702	#525	C₂²×C₃	1	8	yes	complemented
703	#525	C₂²×C₃	1	4	yes	complemented
704	#525	C₂²×C₃	1	4	yes	complemented
705	C₂×#123	C₂²×C₃	1	4	yes	complemented
706	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
707	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
708	C₂×#121	C₂²×C₃	1	2	yes	—
709	#520	C₂²×C₃	1	2	yes	complemented
710	#520	C₂²×C₃	1	4	yes	complemented
711	#520	C₂²×C₃	1	4	yes	complemented
712	#519	C₂²×C₃	1	2	yes	complemented
713	C₄×#41	C₂²×C₃	1	1	yes	characteristic
714	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
715	C₄×#41	C₂²×C₃	1	2	yes	complemented
716	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
717	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
718	C₂×C₄×D₄	C₂²×C₃	1	2	yes	complemented
719	C₂×#117	C₂²×C₃	1	2	yes	complemented
720	C₂²×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
721	C₂⁴×C₃	C₂⁴	1	2	yes	—
722	C₂⁴×C₃	C₂⁴	1	2	yes	—
723	C₂⁴×C₃	C₂⁴	1	4	yes	—
724	C₃×#41	—	2	4	no	—
725	C₃×#41	—	2	8	no	—
726	C₃×#41	—	2	4	no	—
727	C₃×#41	—	4	8	no	—
728	C₃×#41	—	4	8	no	—
729	C₃×#41	—	4	8	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	4	no	—
736	C₃×#41	—	4	4	no	—
737	C₃×#41	—	4	8	no	—
738	C₃×#41	—	4	4	no	—
739	C₃×#41	—	4	8	no	—
740	C₃×#41	—	4	8	no	—
741	C₂×C₃×Q₈	—	2	8	no	—
742	C₂×C₃×Q₈	—	4	4	no	—
743	C₂×C₃×Q₈	—	4	8	no	—
744	C₂×C₃×Q₈	—	4	8	no	—
745	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
746	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
747	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
748	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
749	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
750	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
751	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
752	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
753	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
754	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
755	C₂×C₃×D₄	—	2	4	no	—
756	C₂×C₃×D₄	—	4	2	no	—
757	C₂×C₃×D₄	—	4	4	no	—
758	C₂×C₃×D₄	—	4	4	no	—
759	C₂×C₃×D₄	—	4	8	no	—
760	C₂×C₃×D₄	—	4	8	no	—
761	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
762	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
763	C₂×C₃×D₄	C₂⁴	1	2	yes	—
764	C₂×C₃×D₄	C₂⁴	1	2	yes	—
765	C₂×C₃×D₄	C₂⁴	1	4	yes	—
766	C₂×C₃×D₄	C₂⁴	1	2	yes	—
767	C₂×C₃×D₄	C₂⁴	1	2	yes	—
768	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
769	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
770	C₂×C₃×D₄	C₂⁴	1	2	yes	—
771	C₂×C₃×D₄	C₂⁴	1	2	yes	—
772	C₂×C₃×D₄	C₂⁴	1	4	yes	—
773	C₂×C₃×D₄	C₂⁴	1	4	yes	—
774	C₂×C₃×D₄	C₂⁴	1	2	yes	—
775	C₂×C₃×D₄	C₂⁴	1	8	yes	—
776	C₂×C₃×D₄	C₂⁴	1	4	yes	—
777	C₂×C₃×D₄	C₂⁴	1	4	yes	—
778	C₂×C₃×D₄	C₂⁴	1	4	yes	—
779	C₂×C₃×D₄	C₂⁴	1	4	yes	—
780	C₂×C₃×D₄	C₂⁴	1	2	yes	—
781	C₂×C₃×D₄	C₂⁴	1	8	yes	—
782	C₂×C₃×D₄	C₂⁴	1	4	yes	—
783	C₂×C₃×D₄	C₂⁴	1	4	yes	—
784	C₂×C₃×D₄	C₂⁴	1	4	yes	—
785	C₂×C₃×D₄	C₂⁴	1	8	yes	—
786	C₂×C₃×D₄	C₂⁴	1	4	yes	—
787	C₂×C₃×D₄	C₂⁴	1	4	yes	—
788	C₂×C₃×D₄	C₂⁴	1	8	yes	—
789	C₂×C₃×D₄	C₂⁴	1	8	yes	—
790	C₂×C₃×D₄	C₂⁴	1	4	yes	—
791	C₂²×C₃×C₄	—	2	8	no	—
792	C₂²×C₃×C₄	—	4	4	no	—
793	C₂²×C₃×C₄	—	4	8	no	—
794	C₂²×C₃×C₄	—	4	8	no	—
795	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
796	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
797	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
798	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
799	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
800	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
801	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
802	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
803	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
804	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
805	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
806	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
807	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
808	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
809	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
810	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
811	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
812	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
813	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
814	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
815	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
816	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
817	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
818	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
819	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
820	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
821	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
822	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
823	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
824	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
825	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
826	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
827	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
829	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
835	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
836	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
838	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
839	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
841	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
843	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
844	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
846	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
847	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
848	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
849	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
850	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
855	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
856	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
857	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
858	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
859	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
860	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
861	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
862	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
863	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
864	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
865	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
866	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
867	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
868	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
869	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
871	C₃×C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
876	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
879	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
880	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
882	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
884	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
890	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₃×C₂²⋊C₄	C₂⁴	1	2	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	8	yes	—
898	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
899	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
903	C₃×C₂²⋊C₄	C₂⁴	1	8	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	4	yes	—
908	C₃×C₄²	C₂⁴	1	2	yes	—
909	C₃×C₄²	C₂⁴	1	1	yes	characteristic
910	C₃×C₄²	C₂⁴	1	1	yes	characteristic
911	C₃×C₄²	C₂⁴	1	4	yes	—
912	C₃×C₄²	C₂⁴	1	4	yes	—
913	C₃×C₄²	C₂⁴	1	1	yes	characteristic
914	C₃×C₄²	C₂⁴	1	2	yes	—
915	C₃×C₄²	C₂⁴	1	1	yes	characteristic
916	C₃×C₄²	C₂⁴	1	2	yes	—
917	C₃×C₄²	C₂⁴	1	2	yes	—
918	C₃×C₄²	C₂⁴	1	4	yes	—
919	C₃×C₄²	C₂⁴	1	2	yes	—
920	C₃×C₄²	C₂⁴	1	2	yes	—
921	C₃×C₄²	C₂⁴	1	8	yes	—
922	C₃×C₄²	C₂⁴	1	8	yes	—
923	C₃×C₄²	C₂⁴	1	8	yes	—
924	2₋¹⁺⁴	—	4	8	no	—
925	C₂×#41	—	4	8	no	—
926	C₂×#41	—	4	8	no	—
927	C₂×#41	C₂³×C₃	1	1	yes	characteristic
928	C₂×#41	C₂³×C₃	1	1	yes	characteristic
929	C₂×#41	C₂³×C₃	1	2	yes	—
930	C₂×#41	C₂³×C₃	1	2	yes	—
931	C₂×#41	C₂³×C₃	1	4	yes	—
932	C₂×#41	C₂³×C₃	1	4	yes	—
933	C₂×#41	C₂³×C₃	1	4	yes	—
934	C₂×#41	C₂³×C₃	1	4	yes	—
935	C₂×#41	C₂³×C₃	1	4	yes	—
936	C₂×#41	C₂³×C₃	1	8	yes	—
937	C₂×#41	C₂³×C₃	1	4	yes	—
938	C₂×#41	C₂³×C₃	1	2	yes	—
939	C₂×#41	C₂³×C₃	1	2	yes	—
940	C₂×#41	C₂³×C₃	1	4	yes	—
941	C₂×#41	C₂³×C₃	1	4	yes	—
942	C₂×#41	C₂³×C₃	1	4	yes	—
943	C₂×#41	C₂³×C₃	1	4	yes	—
944	C₂²×Q₈	C₂³×C₃	1	2	yes	—
945	C₂²×Q₈	C₂³×C₃	1	4	yes	—
946	C₂²×Q₈	C₂³×C₃	1	4	yes	—
947	C₂²×Q₈	C₂³×C₃	1	2	yes	—
948	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
949	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
950	C₂²×D₄	C₂³×C₃	1	2	yes	—
951	C₂²×D₄	C₂³×C₃	1	4	yes	—
952	C₂²×D₄	C₂³×C₃	1	4	yes	—
953	C₂²×D₄	C₂³×C₃	1	2	yes	—
954	C₂³×C₄	C₂³×C₃	1	2	yes	—
955	C₂³×C₄	C₂³×C₃	1	2	yes	—
956	C₂³×C₄	C₂³×C₃	1	4	yes	—
957	C₂³×C₄	C₂³×C₃	1	4	yes	—
958	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
959	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
960	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
961	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
962	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
963	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
964	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
965	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
966	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
967	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
968	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
969	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
970	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
971	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
972	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
973	#127	C₂³×C₃	1	1	yes	characteristic
974	#127	C₂³×C₃	1	2	yes	—
975	#127	C₂³×C₃	1	4	yes	—
976	#127	C₂³×C₃	1	2	yes	—
977	#127	C₂³×C₃	1	2	yes	—
978	#127	C₂³×C₃	1	8	yes	—
979	#127	C₂³×C₃	1	8	yes	—
980	#126	C₂³×C₃	1	4	yes	—
981	#126	C₂³×C₃	1	4	yes	—
982	#126	C₂³×C₃	1	8	yes	—
983	#126	C₂³×C₃	1	4	yes	—
984	#126	C₂³×C₃	1	4	yes	—
985	#126	C₂³×C₃	1	4	yes	—
986	#126	C₂³×C₃	1	8	yes	—
987	#126	C₂³×C₃	1	8	yes	—
988	#126	C₂³×C₃	1	8	yes	—
989	#126	C₂³×C₃	1	8	yes	—
990	#126	C₂³×C₃	1	8	yes	—
991	#126	C₂³×C₃	1	8	yes	—
992	#125	C₂³×C₃	1	2	yes	—
993	#125	C₂³×C₃	1	4	yes	—
994	#125	C₂³×C₃	1	2	yes	—
995	#125	C₂³×C₃	1	2	yes	—
996	#125	C₂³×C₃	1	8	yes	—
997	#125	C₂³×C₃	1	4	yes	—
998	#125	C₂³×C₃	1	4	yes	—
999	#125	C₂³×C₃	1	2	yes	—
1000	#125	C₂³×C₃	1	8	yes	—
1001	#125	C₂³×C₃	1	8	yes	—
1002	#125	C₂³×C₃	1	8	yes	—
1003	#125	C₂³×C₃	1	8	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	2	yes	—
1009	#124	C₂³×C₃	1	2	yes	—
1010	#124	C₂³×C₃	1	4	yes	—
1011	#124	C₂³×C₃	1	4	yes	—
1012	#124	C₂³×C₃	1	4	yes	—
1013	#124	C₂³×C₃	1	4	yes	—
1014	#124	C₂³×C₃	1	4	yes	—
1015	#124	C₂³×C₃	1	8	yes	—
1016	#124	C₂³×C₃	1	8	yes	—
1017	#124	C₂³×C₃	1	8	yes	—
1018	#124	C₂³×C₃	1	8	yes	—
1019	#124	C₂³×C₃	1	8	yes	—
1020	#123	C₂³×C₃	1	8	yes	—
1021	#123	C₂³×C₃	1	8	yes	—
1022	#123	C₂³×C₃	1	8	yes	—
1023	#123	C₂³×C₃	1	8	yes	—
1024	#123	C₂³×C₃	1	4	yes	—
1025	#123	C₂³×C₃	1	4	yes	—
1026	#123	C₂³×C₃	1	8	yes	—
1027	#123	C₂³×C₃	1	8	yes	—
1028	#123	C₂³×C₃	1	8	yes	—
1029	#123	C₂³×C₃	1	8	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	8	yes	—
1034	#123	C₂³×C₃	1	8	yes	—
1035	#123	C₂³×C₃	1	4	yes	—
1036	#123	C₂³×C₃	1	4	yes	—
1037	#123	C₂³×C₃	1	4	yes	—
1038	#123	C₂³×C₃	1	4	yes	—
1039	#123	C₂³×C₃	1	4	yes	—
1040	#123	C₂³×C₃	1	4	yes	—
1041	#123	C₂³×C₃	1	8	yes	—
1042	#123	C₂³×C₃	1	8	yes	—
1043	#123	C₂³×C₃	1	8	yes	—
1044	#123	C₂³×C₃	1	8	yes	—
1045	#123	C₂³×C₃	1	8	yes	—
1046	#123	C₂³×C₃	1	8	yes	—
1047	#123	C₂³×C₃	1	8	yes	—
1048	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1049	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1050	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1051	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1052	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1053	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1054	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1057	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1058	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1059	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1060	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1061	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1062	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1063	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1064	C₂²⋊Q₈	C₂³×C₃	1	4	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	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1071	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1072	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1073	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1074	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
1075	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1076	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
1077	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1078	C₂²⋊Q₈	C₂³×C₃	1	2	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	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
1084	#121	C₂³×C₃	1	4	yes	—
1085	#121	C₂³×C₃	1	4	yes	—
1086	#121	C₂³×C₃	1	8	yes	—
1087	#121	C₂³×C₃	1	2	yes	—
1088	#121	C₂³×C₃	1	2	yes	—
1089	#121	C₂³×C₃	1	2	yes	—
1090	#121	C₂³×C₃	1	2	yes	—
1091	#121	C₂³×C₃	1	2	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	2	yes	—
1101	#121	C₂³×C₃	1	8	yes	—
1102	#121	C₂³×C₃	1	8	yes	—
1103	#121	C₂³×C₃	1	4	yes	—
1104	#121	C₂³×C₃	1	4	yes	—
1105	#121	C₂³×C₃	1	4	yes	—
1106	#121	C₂³×C₃	1	2	yes	—
1107	#121	C₂³×C₃	1	2	yes	—
1108	#121	C₂³×C₃	1	4	yes	—
1109	#121	C₂³×C₃	1	2	yes	—
1110	#121	C₂³×C₃	1	8	yes	—
1111	#121	C₂³×C₃	1	8	yes	—
1112	#121	C₂³×C₃	1	8	yes	—
1113	#121	C₂³×C₃	1	8	yes	—
1114	#121	C₂³×C₃	1	4	yes	—
1115	#121	C₂³×C₃	1	2	yes	—
1116	#121	C₂³×C₃	1	2	yes	—
1117	#121	C₂³×C₃	1	2	yes	—
1118	#121	C₂³×C₃	1	2	yes	—
1119	#121	C₂³×C₃	1	4	yes	—
1120	#121	C₂³×C₃	1	4	yes	—
1121	#121	C₂³×C₃	1	4	yes	—
1122	#121	C₂³×C₃	1	4	yes	—
1123	#121	C₂³×C₃	1	8	yes	—
1124	#121	C₂³×C₃	1	8	yes	—
1125	#121	C₂³×C₃	1	8	yes	—
1126	#121	C₂³×C₃	1	8	yes	—
1127	#121	C₂³×C₃	1	8	yes	—
1128	#121	C₂³×C₃	1	8	yes	—
1129	#121	C₂³×C₃	1	8	yes	—
1130	#121	C₂³×C₃	1	8	yes	—
1131	#120	C₂³×C₃	1	4	yes	—
1132	#120	C₂³×C₃	1	4	yes	—
1133	#120	C₂³×C₃	1	8	yes	—
1134	#120	C₂³×C₃	1	4	yes	—
1135	#120	C₂³×C₃	1	8	yes	—
1136	#120	C₂³×C₃	1	8	yes	—
1137	#120	C₂³×C₃	1	4	yes	—
1138	#120	C₂³×C₃	1	8	yes	—
1139	#120	C₂³×C₃	1	4	yes	—
1140	#120	C₂³×C₃	1	4	yes	—
1141	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1142	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1143	C₄×Q₈	C₂³×C₃	1	2	yes	—
1144	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1145	C₄×Q₈	C₂³×C₃	1	2	yes	—
1146	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1147	C₄×Q₈	C₂³×C₃	1	4	yes	—
1148	C₄×Q₈	C₂³×C₃	1	4	yes	—
1149	C₄×Q₈	C₂³×C₃	1	4	yes	—
1150	C₄×Q₈	C₂³×C₃	1	4	yes	—
1151	C₄×Q₈	C₂³×C₃	1	4	yes	—
1152	C₄×Q₈	C₂³×C₃	1	4	yes	—
1153	C₄×Q₈	C₂³×C₃	1	8	yes	—
1154	C₄×Q₈	C₂³×C₃	1	2	yes	—
1155	C₄×Q₈	C₂³×C₃	1	4	yes	—
1156	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1157	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1158	C₄×D₄	C₂³×C₃	1	2	yes	—
1159	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1160	C₄×D₄	C₂³×C₃	1	2	yes	—
1161	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1162	C₄×D₄	C₂³×C₃	1	2	yes	—
1163	C₄×D₄	C₂³×C₃	1	4	yes	—
1164	C₄×D₄	C₂³×C₃	1	2	yes	—
1165	C₄×D₄	C₂³×C₃	1	2	yes	—
1166	C₄×D₄	C₂³×C₃	1	2	yes	—
1167	C₄×D₄	C₂³×C₃	1	4	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	2	yes	—
1172	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1173	C₄×D₄	C₂³×C₃	1	2	yes	—
1174	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1175	C₄×D₄	C₂³×C₃	1	2	yes	—
1176	C₄×D₄	C₂³×C₃	1	4	yes	—
1177	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1178	C₄×D₄	C₂³×C₃	1	2	yes	—
1179	C₄×D₄	C₂³×C₃	1	2	yes	—
1180	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1181	C₄×D₄	C₂³×C₃	1	4	yes	—
1182	C₄×D₄	C₂³×C₃	1	8	yes	—
1183	C₄×D₄	C₂³×C₃	1	8	yes	—
1184	C₄×D₄	C₂³×C₃	1	8	yes	—
1185	C₄×D₄	C₂³×C₃	1	8	yes	—
1186	C₄×D₄	C₂³×C₃	1	8	yes	—
1187	C₄×D₄	C₂³×C₃	1	8	yes	—
1188	C₄×D₄	C₂³×C₃	1	4	yes	—
1189	C₄×D₄	C₂³×C₃	1	4	yes	—
1190	C₄×D₄	C₂³×C₃	1	4	yes	—
1191	C₄×D₄	C₂³×C₃	1	2	yes	—
1192	C₄×D₄	C₂³×C₃	1	8	yes	—
1193	C₄×D₄	C₂³×C₃	1	8	yes	—
1194	C₄×D₄	C₂³×C₃	1	4	yes	—
1195	C₄×D₄	C₂³×C₃	1	4	yes	—
1196	C₄×D₄	C₂³×C₃	1	4	yes	—
1197	C₄×D₄	C₂³×C₃	1	8	yes	—
1198	C₄×D₄	C₂³×C₃	1	8	yes	—
1199	C₄×D₄	C₂³×C₃	1	8	yes	—
1200	C₄×D₄	C₂³×C₃	1	8	yes	—
1201	C₄×D₄	C₂³×C₃	1	8	yes	—
1202	C₄×D₄	C₂³×C₃	1	4	yes	—
1203	#117	C₂³×C₃	1	1	yes	characteristic
1204	#117	C₂³×C₃	1	2	yes	—
1205	#117	C₂³×C₃	1	4	yes	—
1206	#117	C₂³×C₃	1	2	yes	—
1207	#117	C₂³×C₃	1	2	yes	—
1208	#117	C₂³×C₃	1	4	yes	—
1209	#117	C₂³×C₃	1	1	yes	characteristic
1210	#117	C₂³×C₃	1	2	yes	—
1211	#117	C₂³×C₃	1	2	yes	—
1212	#117	C₂³×C₃	1	2	yes	—
1213	#117	C₂³×C₃	1	4	yes	—
1214	#117	C₂³×C₃	1	8	yes	—
1215	#117	C₂³×C₃	1	4	yes	—
1216	#117	C₂³×C₃	1	4	yes	—
1217	#117	C₂³×C₃	1	4	yes	—
1218	#117	C₂³×C₃	1	8	yes	—
1219	#117	C₂³×C₃	1	4	yes	—
1220	#117	C₂³×C₃	1	4	yes	—
1221	#117	C₂³×C₃	1	8	yes	—
1222	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
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	4	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×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1230	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1232	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1233	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
1234	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1235	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1236	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1237	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1238	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1239	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1240	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1241	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1242	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1243	C₂×C₄²	C₂³×C₃	1	4	yes	—
1244	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1245	C₂×C₄²	C₂³×C₃	1	2	yes	—
1246	C₂×C₄²	C₂³×C₃	1	2	yes	—
1247	C₂³×C₃	—	2	4	no	—
1248	C₂³×C₃	—	2	4	no	—
1249	C₂³×C₃	—	4	2	no	—
1250	C₂³×C₃	—	4	2	no	—
1251	C₂³×C₃	—	4	4	no	—
1252	C₂³×C₃	—	4	2	no	—
1253	C₂³×C₃	—	4	4	no	—
1254	C₂³×C₃	—	4	2	no	—
1255	C₂³×C₃	—	4	4	no	—
1256	C₂³×C₃	C₂⁵	1	2	yes	—
1257	C₂³×C₃	C₂⁵	1	2	yes	—
1258	C₂³×C₃	C₂⁵	1	2	yes	—
1259	C₂³×C₃	C₂⁵	1	4	yes	—
1260	C₂³×C₃	C₂⁵	1	4	yes	—
1261	C₂³×C₃	C₂⁵	1	2	yes	—
1262	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1263	C₃×Q₈	—	2	8	no	—
1264	C₃×Q₈	—	2	8	no	—
1265	C₃×Q₈	—	2	2	no	—
1266	C₃×Q₈	—	2	4	no	—
1267	C₃×Q₈	—	2	2	no	—
1268	C₃×Q₈	—	2	4	no	—
1269	C₃×Q₈	—	4	8	no	—
1270	C₃×Q₈	—	4	4	no	—
1271	C₃×Q₈	—	4	2	no	—
1272	C₃×Q₈	—	4	4	no	—
1273	C₃×D₄	—	2	4	no	—
1274	C₃×D₄	—	2	8	no	—
1275	C₃×D₄	—	2	4	no	—
1276	C₃×D₄	—	2	4	no	—
1277	C₃×D₄	—	2	4	no	—
1278	C₃×D₄	—	2	2	no	—
1279	C₃×D₄	—	2	4	no	—
1280	C₃×D₄	—	2	2	no	—
1281	C₃×D₄	—	2	2	no	—
1282	C₃×D₄	—	2	2	no	—
1283	C₃×D₄	—	2	4	no	—
1284	C₃×D₄	—	4	2	no	—
1285	C₃×D₄	—	4	4	no	—
1286	C₃×D₄	—	4	4	no	—
1287	C₃×D₄	—	4	4	no	—
1288	C₃×D₄	—	4	4	no	—
1289	C₃×D₄	—	4	8	no	—
1290	C₃×D₄	—	4	8	no	—
1291	C₃×D₄	—	4	4	no	—
1292	C₃×D₄	—	4	2	no	—
1293	C₃×D₄	—	4	4	no	—
1294	C₃×D₄	—	4	4	no	—
1295	C₃×D₄	—	4	4	no	—
1296	C₃×D₄	—	4	8	no	—
1297	C₃×D₄	—	4	4	no	—
1298	C₃×D₄	—	4	4	no	—
1299	C₃×D₄	—	4	4	no	—
1300	C₃×D₄	—	4	8	no	—
1301	C₃×D₄	—	4	4	no	—
1302	C₃×D₄	—	4	8	no	—
1303	C₂×C₃×C₄	—	2	4	no	—
1304	C₂×C₃×C₄	—	2	8	no	—
1305	C₂×C₃×C₄	—	2	4	no	—
1306	C₂×C₃×C₄	—	2	4	no	—
1307	C₂×C₃×C₄	—	2	4	no	—
1308	C₂×C₃×C₄	—	2	4	no	—
1309	C₂×C₃×C₄	—	2	4	no	—
1310	C₂×C₃×C₄	—	2	8	no	—
1311	C₂×C₃×C₄	—	2	4	no	—
1312	C₂×C₃×C₄	—	2	2	no	—
1313	C₂×C₃×C₄	—	2	8	no	—
1314	C₂×C₃×C₄	—	2	4	no	—
1315	C₂×C₃×C₄	—	2	4	no	—
1316	C₂×C₃×C₄	—	4	4	no	—
1317	C₂×C₃×C₄	—	4	2	no	—
1318	C₂×C₃×C₄	—	4	4	no	—
1319	C₂×C₃×C₄	—	4	4	no	—
1320	C₂×C₃×C₄	—	4	4	no	—
1321	C₂×C₃×C₄	—	4	8	no	—
1322	C₂×C₃×C₄	—	4	8	no	—
1323	C₂×C₃×C₄	—	4	2	no	—
1324	C₂×C₃×C₄	—	4	1	no	—
1325	C₂×C₃×C₄	—	4	4	no	—
1326	C₂×C₃×C₄	—	4	2	no	—
1327	C₂×C₃×C₄	—	4	8	no	—
1328	C₂×C₃×C₄	—	4	8	no	—
1329	C₂×C₃×C₄	—	4	8	no	—
1330	C₂×C₃×C₄	—	4	4	no	—
1331	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
1332	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1333	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1334	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1335	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1336	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1337	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1338	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1339	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1340	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1341	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1342	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1343	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1344	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1345	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1346	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1347	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1348	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1349	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1350	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1351	C₂⁴	C₂⁴×C₃	1	2	yes	—
1352	C₂⁴	C₂⁴×C₃	1	2	yes	—
1353	C₂⁴	C₂⁴×C₃	1	4	yes	—
1354	#41	—	2	4	no	—
1355	#41	—	2	8	no	—
1356	#41	—	2	4	no	—
1357	#41	—	4	8	no	—
1358	#41	—	4	8	no	—
1359	#41	—	4	8	no	—
1360	#41	—	4	16	no	—
1361	#41	—	4	8	no	—
1362	#41	—	4	8	no	—
1363	#41	—	4	8	no	—
1364	#41	—	4	8	no	—
1365	#41	—	4	4	no	—
1366	#41	—	4	4	no	—
1367	#41	—	4	8	no	—
1368	#41	—	4	8	no	—
1369	#41	—	4	8	no	—
1370	#41	—	4	4	no	—
1371	C₂×Q₈	—	2	8	no	—
1372	C₂×Q₈	—	4	4	no	—
1373	C₂×Q₈	—	4	8	no	—
1374	C₂×Q₈	—	4	8	no	—
1375	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1376	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1378	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1379	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1380	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1381	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1382	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1383	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1384	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1385	C₂×D₄	—	2	4	no	—
1386	C₂×D₄	—	4	4	no	—
1387	C₂×D₄	—	4	2	no	—
1388	C₂×D₄	—	4	4	no	—
1389	C₂×D₄	—	4	8	no	—
1390	C₂×D₄	—	4	8	no	—
1391	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1392	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1393	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1394	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1395	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1396	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1397	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1398	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1399	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1400	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1401	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1402	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1403	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1404	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1405	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1406	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1407	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1408	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1409	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1410	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1411	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1412	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1413	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1414	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1415	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1416	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1417	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1418	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1419	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1420	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1421	C₂²×C₄	—	2	8	no	—
1422	C₂²×C₄	—	4	8	no	—
1423	C₂²×C₄	—	4	4	no	—
1424	C₂²×C₄	—	4	8	no	—
1425	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1426	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1428	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1429	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1430	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1431	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1432	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1433	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1434	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1435	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1436	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1437	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1438	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1440	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1441	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1442	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1443	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1444	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1445	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1446	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1447	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1448	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1449	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1450	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1451	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1452	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1453	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1457	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1458	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1459	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1460	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1461	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1462	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1464	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1467	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1468	C₄⋊C₄	C₂⁴×C₃	1	2	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	8	yes	—
1474	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1476	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1477	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1478	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1479	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1480	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1481	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1483	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1484	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1487	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1488	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1490	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1491	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1492	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1493	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1494	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1495	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1496	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1497	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1498	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1499	C₂²⋊C₄	C₂⁴×C₃	1	2	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	4	yes	—
1505	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1506	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1507	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1508	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1509	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1510	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1511	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1512	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1513	C₂²⋊C₄	C₂⁴×C₃	1	2	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	4	yes	—
1518	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1519	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1520	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1521	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1522	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1523	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1524	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1525	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1526	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1527	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1528	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1529	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1530	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1531	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1532	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1533	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1534	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1535	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1538	C₄²	C₂⁴×C₃	1	2	yes	—
1539	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1540	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1541	C₄²	C₂⁴×C₃	1	4	yes	—
1542	C₄²	C₂⁴×C₃	1	4	yes	—
1543	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1544	C₄²	C₂⁴×C₃	1	2	yes	—
1545	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1546	C₄²	C₂⁴×C₃	1	2	yes	—
1547	C₄²	C₂⁴×C₃	1	2	yes	—
1548	C₄²	C₂⁴×C₃	1	4	yes	—
1549	C₄²	C₂⁴×C₃	1	2	yes	—
1550	C₄²	C₂⁴×C₃	1	2	yes	—
1551	C₄²	C₂⁴×C₃	1	8	yes	—
1552	C₄²	C₂⁴×C₃	1	8	yes	—
1553	C₄²	C₂⁴×C₃	1	8	yes	—
1554	C₂²×C₃	—	2	1	no	—
1555	C₂²×C₃	—	2	1	no	—
1556	C₂²×C₃	—	2	2	no	—
1557	C₂²×C₃	—	2	2	no	—
1558	C₂²×C₃	—	2	2	no	—
1559	C₂²×C₃	—	2	4	no	—
1560	C₂²×C₃	—	2	2	no	—
1561	C₂²×C₃	—	2	4	no	—
1562	C₂²×C₃	—	2	4	no	—
1563	C₂²×C₃	—	2	2	no	—
1564	C₂²×C₃	—	2	2	no	—
1565	C₂²×C₃	—	2	2	no	—
1566	C₂²×C₃	—	2	4	no	—
1567	C₂²×C₃	—	2	2	no	—
1568	C₂²×C₃	—	2	2	no	—
1569	C₂²×C₃	—	2	2	no	—
1570	C₂²×C₃	—	2	2	no	—
1571	C₂²×C₃	—	2	4	no	—
1572	C₂²×C₃	—	2	4	no	—
1573	C₂²×C₃	—	2	2	no	—
1574	C₂²×C₃	—	4	8	no	—
1575	C₂²×C₃	—	8	4	no	—
1576	C₂²×C₃	—	8	8	no	—
1577	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1578	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1579	C₃×C₄	—	2	2	no	—
1580	C₃×C₄	—	2	2	no	—
1581	C₃×C₄	—	2	2	no	—
1582	C₃×C₄	—	2	4	no	—
1583	C₃×C₄	—	2	2	no	—
1584	C₃×C₄	—	2	8	no	—
1585	C₃×C₄	—	2	1	no	—
1586	C₃×C₄	—	2	4	no	—
1587	C₃×C₄	—	2	2	no	—
1588	C₃×C₄	—	2	2	no	—
1589	C₃×C₄	—	2	4	no	—
1590	C₃×C₄	—	2	1	no	—
1591	C₃×C₄	—	2	2	no	—
1592	C₃×C₄	—	2	1	no	—
1593	C₃×C₄	—	2	2	no	—
1594	C₃×C₄	—	2	4	no	—
1595	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1596	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1597	C₃×C₄	#585	1	2	yes	—
1598	C₂³	—	2	4	no	—
1599	C₂³	—	2	4	no	—
1600	C₂³	—	4	2	no	—
1601	C₂³	—	4	2	no	—
1602	C₂³	—	4	4	no	—
1603	C₂³	—	4	2	no	—
1604	C₂³	—	4	4	no	—
1605	C₂³	—	4	2	no	—
1606	C₂³	—	4	4	no	—
1607	C₂³	C₂⁵×C₃	1	2	yes	—
1608	C₂³	C₂⁵×C₃	1	2	yes	—
1609	C₂³	C₂⁵×C₃	1	2	yes	—
1610	C₂³	C₂⁵×C₃	1	4	yes	—
1611	C₂³	C₂⁵×C₃	1	4	yes	—
1612	C₂³	C₂⁵×C₃	1	2	yes	—
1613	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1614	Q₈	—	2	8	no	—
1615	Q₈	—	2	8	no	—
1616	Q₈	—	2	2	no	—
1617	Q₈	—	2	4	no	—
1618	Q₈	—	2	2	no	—
1619	Q₈	—	2	4	no	—
1620	Q₈	—	4	8	no	—
1621	Q₈	—	4	4	no	—
1622	Q₈	—	4	4	no	—
1623	Q₈	—	4	2	no	—
1624	D₄	—	2	4	no	—
1625	D₄	—	2	8	no	—
1626	D₄	—	2	4	no	—
1627	D₄	—	2	4	no	—
1628	D₄	—	2	4	no	—
1629	D₄	—	2	2	no	—
1630	D₄	—	2	4	no	—
1631	D₄	—	2	2	no	—
1632	D₄	—	2	2	no	—
1633	D₄	—	2	2	no	—
1634	D₄	—	2	4	no	—
1635	D₄	—	4	4	no	—
1636	D₄	—	4	4	no	—
1637	D₄	—	4	4	no	—
1638	D₄	—	4	8	no	—
1639	D₄	—	4	8	no	—
1640	D₄	—	4	2	no	—
1641	D₄	—	4	4	no	—
1642	D₄	—	4	8	no	—
1643	D₄	—	4	4	no	—
1644	D₄	—	4	4	no	—
1645	D₄	—	4	4	no	—
1646	D₄	—	4	8	no	—
1647	D₄	—	4	4	no	—
1648	D₄	—	4	4	no	—
1649	D₄	—	4	2	no	—
1650	D₄	—	4	4	no	—
1651	D₄	—	4	4	no	—
1652	D₄	—	4	4	no	—
1653	D₄	—	4	8	no	—
1654	C₂×C₄	—	2	4	no	—
1655	C₂×C₄	—	2	8	no	—
1656	C₂×C₄	—	2	4	no	—
1657	C₂×C₄	—	2	4	no	—
1658	C₂×C₄	—	2	4	no	—
1659	C₂×C₄	—	2	4	no	—
1660	C₂×C₄	—	2	4	no	—
1661	C₂×C₄	—	2	8	no	—
1662	C₂×C₄	—	2	4	no	—
1663	C₂×C₄	—	2	2	no	—
1664	C₂×C₄	—	2	8	no	—
1665	C₂×C₄	—	2	4	no	—
1666	C₂×C₄	—	2	4	no	—
1667	C₂×C₄	—	4	4	no	—
1668	C₂×C₄	—	4	4	no	—
1669	C₂×C₄	—	4	4	no	—
1670	C₂×C₄	—	4	8	no	—
1671	C₂×C₄	—	4	8	no	—
1672	C₂×C₄	—	4	4	no	—
1673	C₂×C₄	—	4	2	no	—
1674	C₂×C₄	—	4	8	no	—
1675	C₂×C₄	—	4	8	no	—
1676	C₂×C₄	—	4	8	no	—
1677	C₂×C₄	—	4	4	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	4	4	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1683	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1684	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1685	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1686	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1687	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1688	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1689	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1690	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1691	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1692	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1693	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1694	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1695	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1696	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1697	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1698	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1699	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1700	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1701	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1702	C₂×C₃	—	2	2	no	—
1703	C₂×C₃	—	4	2	no	—
1704	C₂×C₃	—	4	4	no	—
1705	C₂×C₃	—	4	2	no	—
1706	C₂×C₃	—	4	4	no	—
1707	C₂×C₃	—	4	2	no	—
1708	C₂×C₃	—	4	2	no	—
1709	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1710	C₂×C₃	C₂×#585	1	1	yes	characteristic
1711	C₂×C₃	2₋¹⁺⁶	1	1	yes	characteristic
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	2	no	—
1715	C₂²	—	2	2	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	2	4	no	—
1718	C₂²	—	2	2	no	—
1719	C₂²	—	2	4	no	—
1720	C₂²	—	2	4	no	—
1721	C₂²	—	2	2	no	—
1722	C₂²	—	2	2	no	—
1723	C₂²	—	2	2	no	—
1724	C₂²	—	2	4	no	—
1725	C₂²	—	2	2	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	2	no	—
1728	C₂²	—	2	2	no	—
1729	C₂²	—	2	4	no	—
1730	C₂²	—	2	4	no	—
1731	C₂²	—	2	2	no	—
1732	C₂²	—	4	8	no	—
1733	C₂²	—	8	4	no	—
1734	C₂²	—	8	8	no	—
1735	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1736	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1737	C₄	—	2	2	no	—
1738	C₄	—	2	2	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	4	no	—
1741	C₄	—	2	2	no	—
1742	C₄	—	2	8	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	4	no	—
1745	C₄	—	2	2	no	—
1746	C₄	—	2	2	no	—
1747	C₄	—	2	4	no	—
1748	C₄	—	2	1	no	—
1749	C₄	—	2	2	no	—
1750	C₄	—	2	1	no	—
1751	C₄	—	2	2	no	—
1752	C₄	—	2	4	no	—
1753	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1754	C₄	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1755	C₄	C₃×#585	1	2	yes	—
1756	C₃	#62925	1	1	yes	characteristic, direct product factor, Sylow
1757	C₂	—	2	2	no	—
1758	C₂	—	4	4	no	—
1759	C₂	—	4	2	no	—
1760	C₂	—	4	2	no	—
1761	C₂	—	4	2	no	—
1762	C₂	—	4	4	no	—
1763	C₂	—	4	2	no	—
1764	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1765	C₂	C₂×C₃×#585	1	1	yes	characteristic
1766	C₂	C₃×2₋¹⁺⁶	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×#3554	C₂	semidirect
3. C₃×#3552	C₂	semidirect
4. C₃×#3548	C₂	semidirect
5. C₃×#3547	C₂	semidirect
6. C₃×#3546	C₂	semidirect
7. C₃×#3542	C₂	semidirect
8. C₃×#3541	C₂	semidirect
9. C₃×#3539	C₂	semidirect
10. C₃×#3533	C₂	semidirect
11. C₃×#3520	C₂	semidirect
12. C₃×#3517	C₂	semidirect
13. C₃×#3511	C₂	semidirect
14. C₃×#3509	C₂	semidirect
15. C₃×#3506	C₂	semidirect
16. C₃×#3506	C₂	semidirect
17. C₃×#3499	C₂	semidirect
18. C₃×#3495	C₂	semidirect
19. C₃×#3492	C₂	semidirect
20. C₃×#3489	C₂	semidirect
21. C₃×#3487	C₂	semidirect
22. C₃×#3475	C₂	semidirect
23. C₃×D₄×#41	C₂	semidirect
24. C₂×C₃×#547	C₂	semidirect
25. C₃×#3460	C₂	semidirect
26. C₃×#3449	C₂	semidirect
27. #62925	C₃	direct (N × H)
28. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
30. C₂²×C₃×#41	C₂²	semidirect
31. C₃×#563	C₂²	semidirect
32. C₃×#562	C₂²	semidirect
33. C₃×#562	C₂²	semidirect
34. C₃×#562	C₂²	semidirect
35. C₃×#560	C₂²	semidirect
36. C₃×#560	C₂²	semidirect
37. C₃×#559	C₂²	semidirect
38. C₃×#559	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×#556	C₂²	semidirect
45. C₃×#556	C₂²	semidirect
46. C₃×#555	C₂²	semidirect
47. C₃×#555	C₂²	semidirect
48. 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×#553	C₂²	semidirect
55. C₃×#553	C₂²	semidirect
56. C₃×#553	C₂²	semidirect
57. C₃×#553	C₂²	semidirect
58. C₃×#553	C₂²	semidirect
59. C₃×#553	C₂²	semidirect
60. C₃×#553	C₂²	semidirect
61. C₃×#553	C₂²	semidirect
62. C₃×#552	C₂²	semidirect
63. C₃×#552	C₂²	semidirect
64. C₃×#552	C₂²	semidirect
65. C₃×#552	C₂²	semidirect
66. C₃×#552	C₂²	semidirect
67. C₃×#552	C₂²	semidirect
68. C₃×#552	C₂²	semidirect
69. C₃×#551	C₂²	semidirect
70. C₃×#551	C₂²	semidirect
71. C₃×#551	C₂²	semidirect
72. C₃×#550	C₂²	semidirect
73. C₃×#550	C₂²	semidirect
74. C₃×#550	C₂²	semidirect
75. C₃×#550	C₂²	semidirect
76. C₃×#550	C₂²	semidirect
77. C₃×#550	C₂²	semidirect
78. C₃×#550	C₂²	semidirect
79. C₃×D₄×Q₈	C₂²	semidirect
80. C₃×D₄×Q₈	C₂²	semidirect
81. C₃×D₄×Q₈	C₂²	semidirect
82. C₃×D₄×Q₈	C₂²	semidirect
83. C₃×#548	C₂²	semidirect
84. C₃×#548	C₂²	semidirect
85. C₃×#548	C₂²	semidirect
86. C₃×#548	C₂²	semidirect
87. C₃×#548	C₂²	semidirect
88. C₃×#548	C₂²	semidirect
92. C₃×#547	C₂²	semidirect
93. C₃×#547	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
107. C₃×#546	C₂²	semidirect
108. C₃×#546	C₂²	semidirect
109. C₃×#546	C₂²	semidirect
110. C₃×#546	C₂²	semidirect
112. C₃×D₄²	C₂²	semidirect
113. C₃×#544	C₂²	semidirect
114. C₃×#544	C₂²	semidirect
115. C₃×#542	C₂²	semidirect
116. C₃×#542	C₂²	semidirect
117. C₃×#542	C₂²	semidirect
118. C₃×#542	C₂²	semidirect
119. C₃×#542	C₂²	semidirect
120. C₃×#542	C₂²	semidirect
121. C₃×#541	C₂²	semidirect
122. C₃×#541	C₂²	semidirect
123. C₃×#540	C₂²	semidirect
124. C₃×#540	C₂²	semidirect
125. C₃×#540	C₂²	semidirect
126. C₃×#540	C₂²	semidirect
127. C₃×#540	C₂²	semidirect
128. C₃×#540	C₂²	semidirect
129. C₃×#539	C₂²	semidirect
130. C₃×#539	C₂²	semidirect
131. C₃×#539	C₂²	semidirect
132. C₃×#539	C₂²	semidirect
133. C₃×#538	C₂²	semidirect
134. C₃×#538	C₂²	semidirect
135. C₃×#538	C₂²	semidirect
136. C₃×#538	C₂²	semidirect
137. C₃×#538	C₂²	semidirect
139. C₃×#537	C₂²	semidirect
140. C₃×#537	C₂²	semidirect
141. C₃×#537	C₂²	semidirect
142. C₃×#537	C₂²	semidirect
143. C₃×#537	C₂²	semidirect
145. C₃×#536	C₂²	semidirect
146. C₃×#536	C₂²	semidirect
147. C₃×#536	C₂²	semidirect
148. C₃×#536	C₂²	semidirect
150. C₃×#535	C₂²	semidirect
151. C₃×#535	C₂²	semidirect
152. C₃×#535	C₂²	semidirect
153. C₃×#535	C₂²	semidirect
154. C₃×#535	C₂²	semidirect
155. C₃×#534	C₂²	semidirect
156. C₃×#533	C₂²	semidirect
157. C₃×#533	C₂²	semidirect
158. C₃×#533	C₂²	semidirect
159. C₃×#533	C₂²	semidirect
161. C₃×#532	C₂²	semidirect
162. C₃×#532	C₂²	semidirect
163. C₃×#532	C₂²	semidirect
164. C₃×#532	C₂²	semidirect
165. C₃×#532	C₂²	semidirect
166. C₃×#532	C₂²	semidirect
167. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
168. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
169. C₃×#529	C₂²	semidirect
170. C₃×#529	C₂²	semidirect
171. C₃×#529	C₂²	semidirect
172. C₃×#529	C₂²	semidirect
173. C₃×#529	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. C₃×#525	C₂²	semidirect
182. C₃×#525	C₂²	semidirect
183. C₃×#525	C₂²	semidirect
184. C₂×C₃×#123	C₂²	semidirect
185. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
186. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
188. C₃×#520	C₂²	semidirect
189. C₃×#520	C₂²	semidirect
190. C₃×#520	C₂²	semidirect
191. C₃×#519	C₂²	semidirect
193. C₃×C₄×#41	C₂²	semidirect
194. C₃×C₄×#41	C₂²	semidirect
196. C₂×C₃×C₄×D₄	C₂²	semidirect
197. C₂×C₃×C₄×D₄	C₂²	semidirect
198. C₂×C₃×#117	C₂²	semidirect
199. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
200. #3562	C₂×C₃	semidirect
201. #3554	C₂×C₃	semidirect
202. #3552	C₂×C₃	semidirect
203. #3548	C₂×C₃	semidirect
204. #3547	C₂×C₃	semidirect
205. #3546	C₂×C₃	semidirect
206. #3542	C₂×C₃	semidirect
207. #3541	C₂×C₃	semidirect
208. #3539	C₂×C₃	semidirect
209. #3533	C₂×C₃	semidirect
210. #3520	C₂×C₃	semidirect
211. #3517	C₂×C₃	semidirect
212. #3511	C₂×C₃	semidirect
213. #3509	C₂×C₃	semidirect
214. #3506	C₂×C₃	semidirect
215. #3506	C₂×C₃	semidirect
216. #3499	C₂×C₃	semidirect
217. #3495	C₂×C₃	semidirect
218. #3492	C₂×C₃	semidirect
219. #3489	C₂×C₃	semidirect
220. #3487	C₂×C₃	semidirect
221. #3475	C₂×C₃	semidirect
222. D₄×#41	C₂×C₃	semidirect
223. C₂×#547	C₂×C₃	semidirect
224. #3460	C₂×C₃	semidirect
225. #3449	C₂×C₃	semidirect
549. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
551. C₂²×#41	C₂²×C₃	semidirect
552. #563	C₂²×C₃	semidirect
553. #562	C₂²×C₃	semidirect
554. #562	C₂²×C₃	semidirect
555. #562	C₂²×C₃	semidirect
556. #560	C₂²×C₃	semidirect
557. #560	C₂²×C₃	semidirect
558. #559	C₂²×C₃	semidirect
559. #559	C₂²×C₃	semidirect
560. #557	C₂²×C₃	semidirect
561. #557	C₂²×C₃	semidirect
562. #556	C₂²×C₃	semidirect
563. #556	C₂²×C₃	semidirect
564. #556	C₂²×C₃	semidirect
565. #556	C₂²×C₃	semidirect
566. #556	C₂²×C₃	semidirect
567. #555	C₂²×C₃	semidirect
568. #555	C₂²×C₃	semidirect
569. #555	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. #553	C₂²×C₃	semidirect
576. #553	C₂²×C₃	semidirect
577. #553	C₂²×C₃	semidirect
578. #553	C₂²×C₃	semidirect
579. #553	C₂²×C₃	semidirect
580. #553	C₂²×C₃	semidirect
581. #553	C₂²×C₃	semidirect
582. #553	C₂²×C₃	semidirect
583. #552	C₂²×C₃	semidirect
584. #552	C₂²×C₃	semidirect
585. #552	C₂²×C₃	semidirect
586. #552	C₂²×C₃	semidirect
587. #552	C₂²×C₃	semidirect
588. #552	C₂²×C₃	semidirect
589. #552	C₂²×C₃	semidirect
590. #551	C₂²×C₃	semidirect
591. #551	C₂²×C₃	semidirect
592. #551	C₂²×C₃	semidirect
593. #550	C₂²×C₃	semidirect
594. #550	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. D₄×Q₈	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. #548	C₂²×C₃	semidirect
613. #547	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
628. #546	C₂²×C₃	semidirect
629. #546	C₂²×C₃	semidirect
630. #546	C₂²×C₃	semidirect
631. #546	C₂²×C₃	semidirect
633. D₄²	C₂²×C₃	semidirect
634. #544	C₂²×C₃	semidirect
635. #544	C₂²×C₃	semidirect
636. #542	C₂²×C₃	semidirect
637. #542	C₂²×C₃	semidirect
638. #542	C₂²×C₃	semidirect
639. #542	C₂²×C₃	semidirect
640. #542	C₂²×C₃	semidirect
641. #542	C₂²×C₃	semidirect
642. #541	C₂²×C₃	semidirect
643. #541	C₂²×C₃	semidirect
644. #540	C₂²×C₃	semidirect
645. #540	C₂²×C₃	semidirect
646. #540	C₂²×C₃	semidirect
647. #540	C₂²×C₃	semidirect
648. #540	C₂²×C₃	semidirect
649. #540	C₂²×C₃	semidirect
650. #539	C₂²×C₃	semidirect
651. #539	C₂²×C₃	semidirect
652. #539	C₂²×C₃	semidirect
653. #539	C₂²×C₃	semidirect
654. #538	C₂²×C₃	semidirect
655. #538	C₂²×C₃	semidirect
656. #538	C₂²×C₃	semidirect
657. #538	C₂²×C₃	semidirect
658. #538	C₂²×C₃	semidirect
660. #537	C₂²×C₃	semidirect
661. #537	C₂²×C₃	semidirect
662. #537	C₂²×C₃	semidirect
663. #537	C₂²×C₃	semidirect
664. #537	C₂²×C₃	semidirect
666. #536	C₂²×C₃	semidirect
667. #536	C₂²×C₃	semidirect
668. #536	C₂²×C₃	semidirect
669. #536	C₂²×C₃	semidirect
671. #535	C₂²×C₃	semidirect
672. #535	C₂²×C₃	semidirect
673. #535	C₂²×C₃	semidirect
674. #535	C₂²×C₃	semidirect
675. #535	C₂²×C₃	semidirect
676. #534	C₂²×C₃	semidirect
677. #533	C₂²×C₃	semidirect
678. #533	C₂²×C₃	semidirect
679. #533	C₂²×C₃	semidirect
680. #533	C₂²×C₃	semidirect
682. #532	C₂²×C₃	semidirect
683. #532	C₂²×C₃	semidirect
684. #532	C₂²×C₃	semidirect
685. #532	C₂²×C₃	semidirect
686. #532	C₂²×C₃	semidirect
687. #532	C₂²×C₃	semidirect
688. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
689. C₂×C₄⋊Q₈	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
696. #525	C₂²×C₃	semidirect
697. #525	C₂²×C₃	semidirect
698. #525	C₂²×C₃	semidirect
699. #525	C₂²×C₃	semidirect
700. #525	C₂²×C₃	semidirect
701. #525	C₂²×C₃	semidirect
702. #525	C₂²×C₃	semidirect
703. #525	C₂²×C₃	semidirect
704. #525	C₂²×C₃	semidirect
705. C₂×#123	C₂²×C₃	semidirect
706. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
707. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
709. #520	C₂²×C₃	semidirect
710. #520	C₂²×C₃	semidirect
711. #520	C₂²×C₃	semidirect
712. #519	C₂²×C₃	semidirect
714. C₄×#41	C₂²×C₃	semidirect
715. C₄×#41	C₂²×C₃	semidirect
717. C₂×C₄×D₄	C₂²×C₃	semidirect
718. C₂×C₄×D₄	C₂²×C₃	semidirect
719. C₂×#117	C₂²×C₃	semidirect
720. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
1756. C₃	#62925	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×#3554	2
C₃×#3552	2
C₃×#3548	2
C₃×#3547	2
C₃×#3546	2
C₃×#3542	2
C₃×#3541	2
C₃×#3539	2
C₃×#3533	2
C₃×#3520	2
C₃×#3517	2
C₃×#3511	2
C₃×#3509	2
C₃×#3506	2
C₃×#3499	2
C₃×#3495	2
C₃×#3492	2
C₃×#3489	2
C₃×#3487	2
C₃×#3475	2
C₃×D₄×#41	2
C₂×C₃×#547	2
C₃×#3460	2
C₃×#3449	2
#62925	3

Subgroups — C3×#62925 #10681532

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62925 #10681532