Subgroups — C₃×#62990 #10681597

Order 768.

7348 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3521	C₂	1	4	yes	maximal, complemented
2	C₃×#3521	C₂	1	4	yes	maximal, complemented
3	C₃×#3520	C₂	1	4	yes	maximal, complemented
4	C₃×#3514	C₂	1	4	yes	maximal, complemented
5	C₃×#3513	C₂	1	4	yes	maximal, complemented
6	C₃×#3513	C₂	1	4	yes	maximal, complemented
7	C₃×#3510	C₂	1	2	yes	maximal, complemented
8	C₃×#3505	C₂	1	4	yes	maximal, complemented
9	C₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3495	C₂	1	2	yes	maximal, complemented
11	C₃×#3494	C₂	1	2	yes	maximal, complemented
12	C₃×#3491	C₂	1	4	yes	maximal, complemented
13	C₃×#3490	C₂	1	4	yes	maximal, complemented
14	C₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3481	C₂	1	4	yes	maximal, complemented
17	C₃×#3475	C₂	1	2	yes	maximal, complemented
18	C₃×#3475	C₂	1	4	yes	maximal, complemented
19	C₂×C₃×#551	C₂	1	4	yes	maximal, complemented
20	C₂×C₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3428	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	#62990	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
27	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
28	C₃×#559	C₂²	1	4	yes	complemented
29	C₃×#559	C₂²	1	4	yes	complemented
30	C₃×#556	C₂²	1	2	yes	complemented
31	C₃×#556	C₂²	1	4	yes	complemented
32	C₃×#556	C₂²	1	4	yes	complemented
33	C₃×#556	C₂²	1	4	yes	complemented
34	C₃×#555	C₂²	1	2	yes	complemented
35	C₃×#555	C₂²	1	4	yes	complemented
36	C₃×#554	C₂²	1	2	yes	complemented
37	C₃×#554	C₂²	1	4	yes	complemented
38	C₃×#554	C₂²	1	4	yes	complemented
39	C₃×#554	C₂²	1	4	yes	complemented
40	C₃×#554	C₂²	1	4	yes	complemented
41	C₃×#553	C₂²	1	2	yes	complemented
42	C₃×#553	C₂²	1	2	yes	complemented
43	C₃×#553	C₂²	1	8	yes	complemented
44	C₃×#553	C₂²	1	4	yes	complemented
45	C₃×#553	C₂²	1	8	yes	complemented
46	C₃×#553	C₂²	1	4	yes	complemented
47	C₃×#553	C₂²	1	8	yes	complemented
48	C₃×#552	C₂²	1	2	yes	complemented
49	C₃×#552	C₂²	1	4	yes	complemented
50	C₃×#552	C₂²	1	4	yes	complemented
51	C₃×#552	C₂²	1	8	yes	complemented
52	C₃×#552	C₂²	1	2	yes	complemented
53	C₃×#552	C₂²	1	4	yes	complemented
54	C₃×#552	C₂²	1	8	yes	complemented
55	C₃×#552	C₂²	1	8	yes	complemented
56	C₃×#551	C₂²	1	4	yes	complemented
57	C₃×#551	C₂²	1	8	yes	complemented
58	C₃×#551	C₂²	1	8	yes	complemented
59	C₃×#551	C₂²	1	8	yes	complemented
60	C₃×#551	C₂²	1	8	yes	complemented
61	C₃×#551	C₂²	1	8	yes	complemented
62	C₃×#551	C₂²	1	8	yes	complemented
63	C₃×#551	C₂²	1	4	yes	complemented
64	C₃×#551	C₂²	1	8	yes	complemented
65	C₃×#551	C₂²	1	8	yes	complemented
66	C₃×#551	C₂²	1	8	yes	complemented
67	C₃×#551	C₂²	1	8	yes	complemented
68	C₃×#551	C₂²	1	8	yes	complemented
69	C₃×#551	C₂²	1	8	yes	complemented
70	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
71	C₃×#548	C₂²	1	8	yes	complemented
72	C₃×#547	C₂²	1	2	yes	complemented
73	C₃×#547	C₂²	1	4	yes	complemented
74	C₃×#547	C₂²	1	4	yes	complemented
75	C₃×#547	C₂²	1	4	yes	complemented
76	C₃×#546	C₂²	1	4	yes	complemented
77	C₃×#546	C₂²	1	4	yes	complemented
78	C₃×#546	C₂²	1	4	yes	complemented
79	C₃×#546	C₂²	1	4	yes	complemented
80	C₃×#546	C₂²	1	4	yes	complemented
81	C₃×#546	C₂²	1	4	yes	complemented
82	C₃×#546	C₂²	1	4	yes	complemented
83	C₃×#546	C₂²	1	8	yes	complemented
84	C₃×#546	C₂²	1	8	yes	complemented
85	C₃×#546	C₂²	1	8	yes	complemented
86	C₃×#546	C₂²	1	4	yes	complemented
87	C₃×#546	C₂²	1	4	yes	complemented
88	C₃×D₄²	C₂²	1	4	yes	complemented
89	C₃×D₄²	C₂²	1	4	yes	complemented
90	C₃×#544	C₂²	1	2	yes	complemented
91	C₃×#543	C₂²	1	4	yes	complemented
92	C₃×#542	C₂²	1	4	yes	complemented
93	C₃×#542	C₂²	1	4	yes	complemented
94	C₃×#542	C₂²	1	4	yes	complemented
95	C₃×#542	C₂²	1	4	yes	complemented
96	C₃×#541	C₂²	1	4	yes	complemented
97	C₃×#540	C₂²	1	4	yes	complemented
98	C₃×#539	C₂²	1	8	yes	complemented
99	C₃×#539	C₂²	1	8	yes	complemented
100	C₃×#539	C₂²	1	8	yes	complemented
101	C₃×#538	C₂²	1	8	yes	complemented
102	C₃×#538	C₂²	1	8	yes	complemented
103	C₃×#538	C₂²	1	8	yes	complemented
104	C₃×#536	C₂²	1	2	yes	complemented
105	C₃×#535	C₂²	1	2	yes	—
106	C₃×#534	C₂²	1	4	yes	—
107	C₃×#534	C₂²	1	4	yes	complemented
108	C₃×#533	C₂²	1	4	yes	complemented
109	C₃×#533	C₂²	1	2	yes	complemented
110	C₃×#532	C₂²	1	4	yes	complemented
111	C₃×#529	C₂²	1	4	yes	complemented
112	C₃×#529	C₂²	1	4	yes	complemented
113	C₃×#529	C₂²	1	4	yes	complemented
114	C₃×#529	C₂²	1	4	yes	complemented
115	C₃×#529	C₂²	1	8	yes	complemented
116	C₃×#529	C₂²	1	8	yes	complemented
117	C₃×#529	C₂²	1	8	yes	complemented
118	C₃×#529	C₂²	1	4	yes	complemented
119	C₃×#529	C₂²	1	4	yes	complemented
120	C₃×#529	C₂²	1	4	yes	complemented
121	C₂×C₃×#126	C₂²	1	4	yes	complemented
122	C₂×C₃×#126	C₂²	1	4	yes	complemented
123	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₃×#124	C₂²	1	4	yes	complemented
125	C₃×#525	C₂²	1	2	yes	—
126	C₃×#525	C₂²	1	2	yes	complemented
127	C₃×#525	C₂²	1	8	yes	complemented
128	C₃×#525	C₂²	1	8	yes	complemented
129	C₃×#525	C₂²	1	8	yes	complemented
130	C₂×C₃×#123	C₂²	1	2	yes	complemented
131	C₂×C₃×#123	C₂²	1	4	yes	complemented
132	C₂×C₃×#123	C₂²	1	4	yes	complemented
133	C₂×C₃×#123	C₂²	1	4	yes	complemented
134	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
136	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
137	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₃×#121	C₂²	1	2	yes	complemented
139	C₂×C₃×#120	C₂²	1	4	yes	—
140	C₂×C₃×#120	C₂²	1	2	yes	complemented
141	C₃×#520	C₂²	1	2	yes	complemented
142	C₃×#520	C₂²	1	4	yes	complemented
143	C₃×#520	C₂²	1	4	yes	complemented
144	C₃×#520	C₂²	1	4	yes	complemented
145	C₃×#519	C₂²	1	2	yes	complemented
146	C₃×#518	C₂²	1	1	yes	characteristic
147	C₃×#518	C₂²	1	1	yes	characteristic
148	C₃×#518	C₂²	1	1	yes	characteristic
149	C₃×#518	C₂²	1	4	yes	complemented
150	C₃×#518	C₂²	1	2	yes	complemented
151	C₃×#518	C₂²	1	4	yes	complemented
152	C₃×#518	C₂²	1	4	yes	complemented
153	C₃×#518	C₂²	1	4	yes	complemented
154	C₃×#518	C₂²	1	4	yes	complemented
155	C₃×#518	C₂²	1	4	yes	complemented
156	C₃×C₄×#41	C₂²	1	2	yes	complemented
157	C₃×C₄×#41	C₂²	1	4	yes	complemented
158	C₃×C₄×#41	C₂²	1	4	yes	complemented
159	C₃×C₄×#41	C₂²	1	4	yes	complemented
160	C₃×C₄×#41	C₂²	1	4	yes	complemented
161	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
162	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
163	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
164	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
165	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
166	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
167	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
168	C₂×C₃×#117	C₂²	1	2	yes	complemented
169	C₂×C₃×#117	C₂²	1	4	yes	complemented
170	C₂×C₃×#117	C₂²	1	2	yes	complemented
171	C₂×C₃×#117	C₂²	1	4	yes	complemented
172	C₂²×C₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
173	C₂²×C₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
174	#3521	C₂×C₃	1	4	yes	complemented
175	#3521	C₂×C₃	1	4	yes	complemented
176	#3520	C₂×C₃	1	4	yes	complemented
177	#3514	C₂×C₃	1	4	yes	complemented
178	#3513	C₂×C₃	1	4	yes	complemented
179	#3513	C₂×C₃	1	4	yes	complemented
180	#3510	C₂×C₃	1	2	yes	complemented
181	#3505	C₂×C₃	1	4	yes	complemented
182	#3501	C₂×C₃	1	1	yes	characteristic, complemented
183	#3495	C₂×C₃	1	2	yes	complemented
184	#3494	C₂×C₃	1	2	yes	complemented
185	#3491	C₂×C₃	1	4	yes	complemented
186	#3490	C₂×C₃	1	4	yes	complemented
187	#3485	C₂×C₃	1	1	yes	characteristic, complemented
188	#3484	C₂×C₃	1	1	yes	characteristic, complemented
189	#3481	C₂×C₃	1	4	yes	complemented
190	#3475	C₂×C₃	1	2	yes	complemented
191	#3475	C₂×C₃	1	4	yes	complemented
192	C₂×#551	C₂×C₃	1	4	yes	complemented
193	C₂×#546	C₂×C₃	1	1	yes	characteristic, complemented
194	C₄×H(5,𝔽₂)	C₂×C₃	1	1	yes	characteristic, complemented
195	#3428	C₂×C₃	1	1	yes	characteristic, complemented
196	C₂×#518	C₂×C₃	1	1	yes	characteristic, complemented
197	C₂⁵×C₃	C₂³	1	2	yes	—
198	C₃×H(5,𝔽₂)	—	2	8	no	—
199	C₂×C₃×#41	—	2	8	no	—
200	C₂×C₃×#41	C₂³	1	4	yes	—
201	C₂×C₃×#41	C₂³	1	4	yes	—
202	C₂×C₃×#41	C₂³	1	2	yes	—
203	C₂×C₃×#41	C₂³	1	4	yes	—
204	C₂×C₃×#41	C₂³	1	4	yes	—
205	C₂×C₃×#41	C₂³	1	8	yes	complemented
206	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₃×Q₈	C₂³	1	4	yes	complemented
208	C₂²×C₃×D₄	—	2	8	no	—
209	C₂²×C₃×D₄	C₂³	1	4	yes	—
210	C₂²×C₃×D₄	C₂³	1	2	yes	—
211	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
212	C₂²×C₃×D₄	C₂³	1	4	yes	—
213	C₂²×C₃×D₄	C₂³	1	2	yes	—
214	C₂²×C₃×D₄	C₂³	1	4	yes	—
215	C₂²×C₃×D₄	C₂³	1	4	yes	—
216	C₂²×C₃×D₄	C₂³	1	4	yes	—
217	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
218	C₂²×C₃×D₄	C₂³	1	4	yes	—
219	C₂²×C₃×D₄	C₂³	1	2	yes	—
220	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	2	yes	—
223	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₃×C₄	C₂³	1	4	yes	—
225	C₂³×C₃×C₄	C₂³	1	2	yes	—
226	C₂³×C₃×C₄	C₂³	1	4	yes	—
227	C₂³×C₃×C₄	C₂³	1	4	yes	complemented
228	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
229	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
230	C₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
231	C₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
232	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
233	C₃×#127	C₂³	1	4	yes	—
234	C₃×#126	C₂³	1	4	yes	—
235	C₃×#126	C₂³	1	4	yes	—
236	C₃×#126	C₂³	1	8	yes	—
237	C₃×#126	C₂³	1	8	yes	—
238	C₃×#126	C₂³	1	8	yes	complemented
239	C₃×#126	C₂³	1	8	yes	complemented
240	C₃×#126	C₂³	1	8	yes	complemented
241	C₃×#126	C₂³	1	8	yes	complemented
242	C₃×#126	C₂³	1	4	yes	complemented
243	C₃×#126	C₂³	1	4	yes	complemented
244	C₃×#126	C₂³	1	8	yes	complemented
245	C₃×#126	C₂³	1	8	yes	complemented
246	C₃×#126	C₂³	1	8	yes	complemented
247	C₃×#126	C₂³	1	8	yes	complemented
248	C₃×#126	C₂³	1	4	yes	complemented
249	C₃×#126	C₂³	1	4	yes	complemented
250	C₃×#125	C₂³	1	4	yes	complemented
251	C₃×#125	C₂³	1	2	yes	complemented
252	C₃×#125	C₂³	1	2	yes	complemented
253	C₃×#125	C₂³	1	4	yes	complemented
254	C₃×#125	C₂³	1	4	yes	complemented
255	C₃×#125	C₂³	1	8	yes	complemented
256	C₃×#125	C₂³	1	8	yes	complemented
257	C₃×#125	C₂³	1	4	yes	complemented
258	C₃×#125	C₂³	1	4	yes	complemented
259	C₃×#125	C₂³	1	8	yes	complemented
260	C₃×#124	C₂³	1	4	yes	—
261	C₃×#124	C₂³	1	4	yes	—
262	C₃×#124	C₂³	1	4	yes	—
263	C₃×#124	C₂³	1	8	yes	—
264	C₃×#124	C₂³	1	4	yes	—
265	C₃×#124	C₂³	1	4	yes	—
266	C₃×#124	C₂³	1	4	yes	complemented
267	C₃×#124	C₂³	1	8	yes	complemented
268	C₃×#124	C₂³	1	8	yes	complemented
269	C₃×#124	C₂³	1	8	yes	complemented
270	C₃×#124	C₂³	1	4	yes	complemented
271	C₃×#124	C₂³	1	8	yes	complemented
272	C₃×#123	C₂³	1	4	yes	—
273	C₃×#123	C₂³	1	4	yes	—
274	C₃×#123	C₂³	1	4	yes	—
275	C₃×#123	C₂³	1	8	yes	—
276	C₃×#123	C₂³	1	8	yes	—
277	C₃×#123	C₂³	1	8	yes	—
278	C₃×#123	C₂³	1	8	yes	—
279	C₃×#123	C₂³	1	8	yes	—
280	C₃×#123	C₂³	1	4	yes	—
281	C₃×#123	C₂³	1	4	yes	—
282	C₃×#123	C₂³	1	8	yes	—
283	C₃×#123	C₂³	1	4	yes	—
284	C₃×#123	C₂³	1	8	yes	complemented
285	C₃×#123	C₂³	1	8	yes	complemented
286	C₃×#123	C₂³	1	8	yes	complemented
287	C₃×#123	C₂³	1	8	yes	complemented
288	C₃×#123	C₂³	1	8	yes	complemented
289	C₃×#123	C₂³	1	8	yes	complemented
290	C₃×#123	C₂³	1	8	yes	complemented
291	C₃×#123	C₂³	1	8	yes	complemented
292	C₃×#123	C₂³	1	4	yes	complemented
293	C₃×#123	C₂³	1	8	yes	complemented
294	C₃×#123	C₂³	1	8	yes	complemented
295	C₃×#123	C₂³	1	4	yes	complemented
296	C₃×#123	C₂³	1	8	yes	complemented
297	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
301	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
307	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
308	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
310	C₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
311	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
312	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
313	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
314	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
315	C₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
316	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
317	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
318	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
319	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
320	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
321	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
322	C₃×#121	C₂³	1	8	yes	—
323	C₃×#121	C₂³	1	4	yes	—
324	C₃×#121	C₂³	1	8	yes	—
325	C₃×#121	C₂³	1	4	yes	—
326	C₃×#121	C₂³	1	2	yes	—
327	C₃×#121	C₂³	1	2	yes	—
328	C₃×#121	C₂³	1	4	yes	—
329	C₃×#121	C₂³	1	8	yes	—
330	C₃×#121	C₂³	1	8	yes	—
331	C₃×#121	C₂³	1	4	yes	—
332	C₃×#121	C₂³	1	4	yes	—
333	C₃×#121	C₂³	1	4	yes	—
334	C₃×#121	C₂³	1	4	yes	—
335	C₃×#121	C₂³	1	2	yes	complemented
336	C₃×#121	C₂³	1	8	yes	complemented
337	C₃×#121	C₂³	1	8	yes	complemented
338	C₃×#121	C₂³	1	8	yes	complemented
339	C₃×#121	C₂³	1	8	yes	complemented
340	C₃×#121	C₂³	1	2	yes	complemented
341	C₃×#121	C₂³	1	8	yes	complemented
342	C₃×#120	C₂³	1	4	yes	—
343	C₃×#120	C₂³	1	8	yes	—
344	C₃×#120	C₂³	1	8	yes	—
345	C₃×#120	C₂³	1	8	yes	—
346	C₃×#120	C₂³	1	8	yes	—
347	C₃×#120	C₂³	1	8	yes	—
348	C₃×#120	C₂³	1	8	yes	—
349	C₃×#120	C₂³	1	4	yes	—
350	C₃×#120	C₂³	1	8	yes	complemented
351	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
352	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
353	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
354	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
355	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
356	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
357	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
358	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
359	C₃×C₄×Q₈	C₂³	1	2	yes	complemented
360	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
361	C₃×C₄×Q₈	C₂³	1	8	yes	complemented
362	C₃×C₄×D₄	C₂³	1	4	yes	—
363	C₃×C₄×D₄	C₂³	1	4	yes	—
364	C₃×C₄×D₄	C₂³	1	4	yes	—
365	C₃×C₄×D₄	C₂³	1	4	yes	—
366	C₃×C₄×D₄	C₂³	1	4	yes	—
367	C₃×C₄×D₄	C₂³	1	4	yes	—
368	C₃×C₄×D₄	C₂³	1	4	yes	—
369	C₃×C₄×D₄	C₂³	1	4	yes	—
370	C₃×C₄×D₄	C₂³	1	2	yes	—
371	C₃×C₄×D₄	C₂³	1	4	yes	—
372	C₃×C₄×D₄	C₂³	1	4	yes	—
373	C₃×C₄×D₄	C₂³	1	8	yes	—
374	C₃×C₄×D₄	C₂³	1	8	yes	—
375	C₃×C₄×D₄	C₂³	1	4	yes	—
376	C₃×C₄×D₄	C₂³	1	4	yes	—
377	C₃×C₄×D₄	C₂³	1	8	yes	—
378	C₃×C₄×D₄	C₂³	1	8	yes	—
379	C₃×C₄×D₄	C₂³	1	8	yes	—
380	C₃×C₄×D₄	C₂³	1	8	yes	—
381	C₃×C₄×D₄	C₂³	1	2	yes	—
382	C₃×C₄×D₄	C₂³	1	2	yes	—
383	C₃×C₄×D₄	C₂³	1	2	yes	—
384	C₃×C₄×D₄	C₂³	1	4	yes	—
385	C₃×C₄×D₄	C₂³	1	4	yes	—
386	C₃×C₄×D₄	C₂³	1	4	yes	—
387	C₃×C₄×D₄	C₂³	1	4	yes	—
388	C₃×C₄×D₄	C₂³	1	4	yes	—
389	C₃×C₄×D₄	C₂³	1	4	yes	—
390	C₃×C₄×D₄	C₂³	1	2	yes	complemented
391	C₃×C₄×D₄	C₂³	1	2	yes	complemented
392	C₃×C₄×D₄	C₂³	1	8	yes	complemented
393	C₃×C₄×D₄	C₂³	1	8	yes	complemented
394	C₃×C₄×D₄	C₂³	1	8	yes	complemented
395	C₃×C₄×D₄	C₂³	1	8	yes	complemented
396	C₃×C₄×D₄	C₂³	1	4	yes	complemented
397	C₃×C₄×D₄	C₂³	1	8	yes	complemented
398	C₃×C₄×D₄	C₂³	1	8	yes	complemented
399	C₃×C₄×D₄	C₂³	1	8	yes	complemented
400	C₃×C₄×D₄	C₂³	1	8	yes	complemented
401	C₃×C₄×D₄	C₂³	1	8	yes	complemented
402	C₃×C₄×D₄	C₂³	1	8	yes	complemented
403	C₃×C₄×D₄	C₂³	1	8	yes	complemented
404	C₃×C₄×D₄	C₂³	1	4	yes	complemented
405	C₃×C₄×D₄	C₂³	1	4	yes	complemented
406	C₃×C₄×D₄	C₂³	1	4	yes	complemented
407	C₃×C₄×D₄	C₂³	1	8	yes	complemented
408	C₃×#117	C₂³	1	4	yes	—
409	C₃×#117	C₂³	1	2	yes	—
410	C₃×#117	C₂³	1	4	yes	—
411	C₃×#117	C₂³	1	2	yes	—
412	C₃×#117	C₂³	1	2	yes	—
413	C₃×#117	C₂³	1	4	yes	—
414	C₃×#117	C₂³	1	4	yes	—
415	C₃×#117	C₂³	1	2	yes	—
416	C₃×#117	C₂³	1	2	yes	—
417	C₃×#117	C₂³	1	8	yes	—
418	C₃×#117	C₂³	1	8	yes	—
419	C₃×#117	C₂³	1	8	yes	complemented
420	C₃×#117	C₂³	1	2	yes	complemented
421	C₃×#117	C₂³	1	2	yes	complemented
422	C₃×#117	C₂³	1	4	yes	complemented
423	C₃×#117	C₂³	1	8	yes	complemented
424	C₃×#117	C₂³	1	8	yes	complemented
425	C₃×#117	C₂³	1	8	yes	complemented
426	C₃×#117	C₂³	1	4	yes	complemented
427	C₃×#117	C₂³	1	8	yes	complemented
428	C₃×#117	C₂³	1	4	yes	complemented
429	C₃×#117	C₂³	1	4	yes	complemented
430	C₃×#117	C₂³	1	4	yes	complemented
431	C₃×#117	C₂³	1	8	yes	complemented
432	C₃×#117	C₂³	1	8	yes	complemented
433	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
434	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
435	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
438	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
439	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
440	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
441	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
442	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
443	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
444	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
445	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
446	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
447	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
448	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
449	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
450	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
452	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
453	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
454	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
455	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
456	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
457	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
458	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
459	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
460	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
461	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
462	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
463	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
464	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
465	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
466	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
467	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
468	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
469	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
471	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
473	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
474	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
475	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
476	C₂×C₃×C₄²	C₂³	1	4	yes	—
477	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
478	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
479	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
480	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
481	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
482	C₂×C₃×C₄²	C₂³	1	4	yes	complemented
483	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic
484	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
485	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
486	#559	C₂²×C₃	1	4	yes	complemented
487	#559	C₂²×C₃	1	4	yes	complemented
488	#556	C₂²×C₃	1	2	yes	complemented
489	#556	C₂²×C₃	1	4	yes	complemented
490	#556	C₂²×C₃	1	4	yes	complemented
491	#556	C₂²×C₃	1	4	yes	complemented
492	#555	C₂²×C₃	1	2	yes	complemented
493	#555	C₂²×C₃	1	4	yes	complemented
494	#554	C₂²×C₃	1	2	yes	complemented
495	#554	C₂²×C₃	1	4	yes	complemented
496	#554	C₂²×C₃	1	4	yes	complemented
497	#554	C₂²×C₃	1	4	yes	complemented
498	#554	C₂²×C₃	1	4	yes	complemented
499	#553	C₂²×C₃	1	2	yes	complemented
500	#553	C₂²×C₃	1	2	yes	complemented
501	#553	C₂²×C₃	1	8	yes	complemented
502	#553	C₂²×C₃	1	4	yes	complemented
503	#553	C₂²×C₃	1	8	yes	complemented
504	#553	C₂²×C₃	1	4	yes	complemented
505	#553	C₂²×C₃	1	8	yes	complemented
506	#552	C₂²×C₃	1	2	yes	complemented
507	#552	C₂²×C₃	1	4	yes	complemented
508	#552	C₂²×C₃	1	4	yes	complemented
509	#552	C₂²×C₃	1	8	yes	complemented
510	#552	C₂²×C₃	1	2	yes	complemented
511	#552	C₂²×C₃	1	4	yes	complemented
512	#552	C₂²×C₃	1	8	yes	complemented
513	#552	C₂²×C₃	1	8	yes	complemented
514	#551	C₂²×C₃	1	4	yes	complemented
515	#551	C₂²×C₃	1	8	yes	complemented
516	#551	C₂²×C₃	1	8	yes	complemented
517	#551	C₂²×C₃	1	8	yes	complemented
518	#551	C₂²×C₃	1	8	yes	complemented
519	#551	C₂²×C₃	1	8	yes	complemented
520	#551	C₂²×C₃	1	8	yes	complemented
521	#551	C₂²×C₃	1	4	yes	complemented
522	#551	C₂²×C₃	1	8	yes	complemented
523	#551	C₂²×C₃	1	8	yes	complemented
524	#551	C₂²×C₃	1	8	yes	complemented
525	#551	C₂²×C₃	1	8	yes	complemented
526	#551	C₂²×C₃	1	8	yes	complemented
527	#551	C₂²×C₃	1	8	yes	complemented
528	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
529	#548	C₂²×C₃	1	8	yes	complemented
530	#547	C₂²×C₃	1	2	yes	complemented
531	#547	C₂²×C₃	1	4	yes	complemented
532	#547	C₂²×C₃	1	4	yes	complemented
533	#547	C₂²×C₃	1	4	yes	complemented
534	#546	C₂²×C₃	1	4	yes	complemented
535	#546	C₂²×C₃	1	4	yes	complemented
536	#546	C₂²×C₃	1	4	yes	complemented
537	#546	C₂²×C₃	1	4	yes	complemented
538	#546	C₂²×C₃	1	4	yes	complemented
539	#546	C₂²×C₃	1	4	yes	complemented
540	#546	C₂²×C₃	1	4	yes	complemented
541	#546	C₂²×C₃	1	8	yes	complemented
542	#546	C₂²×C₃	1	8	yes	complemented
543	#546	C₂²×C₃	1	8	yes	complemented
544	#546	C₂²×C₃	1	4	yes	complemented
545	#546	C₂²×C₃	1	4	yes	complemented
546	D₄²	C₂²×C₃	1	4	yes	complemented
547	D₄²	C₂²×C₃	1	4	yes	complemented
548	#544	C₂²×C₃	1	2	yes	complemented
549	#543	C₂²×C₃	1	4	yes	complemented
550	#542	C₂²×C₃	1	4	yes	complemented
551	#542	C₂²×C₃	1	4	yes	complemented
552	#542	C₂²×C₃	1	4	yes	complemented
553	#542	C₂²×C₃	1	4	yes	complemented
554	#541	C₂²×C₃	1	4	yes	complemented
555	#540	C₂²×C₃	1	4	yes	complemented
556	#539	C₂²×C₃	1	8	yes	complemented
557	#539	C₂²×C₃	1	8	yes	complemented
558	#539	C₂²×C₃	1	8	yes	complemented
559	#538	C₂²×C₃	1	8	yes	complemented
560	#538	C₂²×C₃	1	8	yes	complemented
561	#538	C₂²×C₃	1	8	yes	complemented
562	#536	C₂²×C₃	1	2	yes	complemented
563	#535	C₂²×C₃	1	2	yes	—
564	#534	C₂²×C₃	1	4	yes	—
565	#534	C₂²×C₃	1	4	yes	complemented
566	#533	C₂²×C₃	1	4	yes	complemented
567	#533	C₂²×C₃	1	2	yes	complemented
568	#532	C₂²×C₃	1	4	yes	complemented
569	#529	C₂²×C₃	1	4	yes	complemented
570	#529	C₂²×C₃	1	4	yes	complemented
571	#529	C₂²×C₃	1	4	yes	complemented
572	#529	C₂²×C₃	1	4	yes	complemented
573	#529	C₂²×C₃	1	8	yes	complemented
574	#529	C₂²×C₃	1	8	yes	complemented
575	#529	C₂²×C₃	1	8	yes	complemented
576	#529	C₂²×C₃	1	4	yes	complemented
577	#529	C₂²×C₃	1	4	yes	complemented
578	#529	C₂²×C₃	1	4	yes	complemented
579	C₂×#126	C₂²×C₃	1	4	yes	complemented
580	C₂×#126	C₂²×C₃	1	4	yes	complemented
581	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
582	C₂×#124	C₂²×C₃	1	4	yes	complemented
583	#525	C₂²×C₃	1	2	yes	—
584	#525	C₂²×C₃	1	2	yes	complemented
585	#525	C₂²×C₃	1	8	yes	complemented
586	#525	C₂²×C₃	1	8	yes	complemented
587	#525	C₂²×C₃	1	8	yes	complemented
588	C₂×#123	C₂²×C₃	1	2	yes	complemented
589	C₂×#123	C₂²×C₃	1	4	yes	complemented
590	C₂×#123	C₂²×C₃	1	4	yes	complemented
591	C₂×#123	C₂²×C₃	1	4	yes	complemented
592	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
593	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
594	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
595	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
596	C₂×#121	C₂²×C₃	1	2	yes	complemented
597	C₂×#120	C₂²×C₃	1	4	yes	—
598	C₂×#120	C₂²×C₃	1	2	yes	complemented
599	#520	C₂²×C₃	1	2	yes	complemented
600	#520	C₂²×C₃	1	4	yes	complemented
601	#520	C₂²×C₃	1	4	yes	complemented
602	#520	C₂²×C₃	1	4	yes	complemented
603	#519	C₂²×C₃	1	2	yes	complemented
604	#518	C₂²×C₃	1	1	yes	characteristic
605	#518	C₂²×C₃	1	1	yes	characteristic
606	#518	C₂²×C₃	1	1	yes	characteristic
607	#518	C₂²×C₃	1	4	yes	complemented
608	#518	C₂²×C₃	1	2	yes	complemented
609	#518	C₂²×C₃	1	4	yes	complemented
610	#518	C₂²×C₃	1	4	yes	complemented
611	#518	C₂²×C₃	1	4	yes	complemented
612	#518	C₂²×C₃	1	4	yes	complemented
613	#518	C₂²×C₃	1	4	yes	complemented
614	C₄×#41	C₂²×C₃	1	2	yes	complemented
615	C₄×#41	C₂²×C₃	1	4	yes	complemented
616	C₄×#41	C₂²×C₃	1	4	yes	complemented
617	C₄×#41	C₂²×C₃	1	4	yes	complemented
618	C₄×#41	C₂²×C₃	1	4	yes	complemented
619	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
620	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
621	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
622	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
623	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
624	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
625	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
626	C₂×#117	C₂²×C₃	1	2	yes	complemented
627	C₂×#117	C₂²×C₃	1	4	yes	complemented
628	C₂×#117	C₂²×C₃	1	2	yes	complemented
629	C₂×#117	C₂²×C₃	1	4	yes	complemented
630	C₂²×C₂²⋊C₄	C₂²×C₃	1	4	yes	complemented
631	C₂²×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
632	C₂⁴×C₃	—	2	8	no	—
633	C₂⁴×C₃	—	4	4	no	—
634	C₂⁴×C₃	—	8	2	no	—
635	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
636	C₂⁴×C₃	C₂⁴	1	4	yes	—
637	C₂⁴×C₃	C₂⁴	1	4	yes	—
638	C₂⁴×C₃	C₂⁴	1	2	yes	—
639	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
640	C₂⁴×C₃	C₂⁴	1	4	yes	—
641	C₂⁴×C₃	C₂⁴	1	2	yes	—
642	C₃×#41	—	2	16	no	—
643	C₃×#41	—	2	16	no	—
644	C₃×#41	—	2	16	no	—
645	C₃×#41	—	2	8	no	—
646	C₃×#41	—	4	8	no	—
647	C₃×#41	—	8	8	no	—
648	C₂×C₃×Q₈	—	2	4	no	—
649	C₂×C₃×Q₈	—	8	4	no	—
650	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
651	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
652	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
653	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
654	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
655	C₂×C₃×D₄	—	2	8	no	—
656	C₂×C₃×D₄	—	2	8	no	—
657	C₂×C₃×D₄	—	2	16	no	—
658	C₂×C₃×D₄	—	2	16	no	—
659	C₂×C₃×D₄	—	2	16	no	—
660	C₂×C₃×D₄	—	2	16	no	—
661	C₂×C₃×D₄	—	2	4	no	—
662	C₂×C₃×D₄	—	4	8	no	—
663	C₂×C₃×D₄	—	4	2	no	—
664	C₂×C₃×D₄	—	8	2	no	—
665	C₂×C₃×D₄	—	8	4	no	—
666	C₂×C₃×D₄	#41	1	8	yes	complemented
667	C₂×C₃×D₄	C₂⁴	1	2	yes	—
668	C₂×C₃×D₄	C₂⁴	1	4	yes	—
669	C₂×C₃×D₄	C₂⁴	1	4	yes	—
670	C₂×C₃×D₄	C₂⁴	1	8	yes	—
671	C₂×C₃×D₄	C₂⁴	1	4	yes	—
672	C₂×C₃×D₄	C₂⁴	1	8	yes	—
673	C₂×C₃×D₄	C₂⁴	1	8	yes	—
674	C₂×C₃×D₄	C₂⁴	1	2	yes	—
675	C₂×C₃×D₄	C₂⁴	1	2	yes	—
676	C₂×C₃×D₄	C₂⁴	1	4	yes	—
677	C₂×C₃×D₄	C₂⁴	1	8	yes	—
678	C₂×C₃×D₄	C₂⁴	1	4	yes	—
679	C₂×C₃×D₄	C₂⁴	1	8	yes	—
680	C₂×C₃×D₄	C₂⁴	1	8	yes	—
681	C₂×C₃×D₄	C₂⁴	1	4	yes	—
682	C₂×C₃×D₄	C₂⁴	1	4	yes	—
683	C₂²×C₃×C₄	—	2	8	no	—
684	C₂²×C₃×C₄	—	2	4	no	—
685	C₂²×C₃×C₄	—	2	4	no	—
686	C₂²×C₃×C₄	—	4	8	no	—
687	C₂²×C₃×C₄	—	8	2	no	—
688	C₂²×C₃×C₄	—	8	4	no	—
689	C₂²×C₃×C₄	—	8	4	no	—
690	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
691	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
692	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
693	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
694	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
695	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
696	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
697	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
698	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
699	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
700	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
701	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
702	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
703	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
704	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
705	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
706	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
707	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
708	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
709	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
710	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
711	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
712	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
713	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
714	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
715	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
716	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
717	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
718	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
719	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
720	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
721	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
722	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
723	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
724	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
727	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
730	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
731	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
732	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
739	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
742	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
743	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
744	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
745	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
746	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
747	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
748	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
749	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
750	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
758	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
759	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
760	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
762	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
763	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
764	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
766	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
770	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
771	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
772	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
778	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
779	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
780	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
783	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
784	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
785	C₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
786	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
788	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
792	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
793	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₃×C₄²	C₂⁴	1	4	yes	—
798	C₃×C₄²	C₂⁴	1	2	yes	—
799	C₃×C₄²	C₂⁴	1	4	yes	—
800	C₃×C₄²	C₂⁴	1	4	yes	—
801	C₃×C₄²	C₂⁴	1	4	yes	—
802	C₃×C₄²	C₂⁴	1	2	yes	—
803	C₃×C₄²	C₂⁴	1	4	yes	—
804	C₃×C₄²	C₂⁴	1	4	yes	—
805	C₃×C₄²	C₂⁴	1	4	yes	—
806	C₃×C₄²	C₂⁴	1	8	yes	—
807	C₃×C₄²	C₂⁴	1	8	yes	—
808	C₃×C₄²	C₂⁴	1	8	yes	—
809	C₃×C₄²	C₂⁴	1	4	yes	—
810	C₃×C₄²	C₂⁴	1	4	yes	—
811	C₂⁵	C₂³×C₃	1	2	yes	—
812	H(5,𝔽₂)	—	2	8	no	—
813	C₂×#41	—	2	8	no	—
814	C₂×#41	C₂³×C₃	1	4	yes	—
815	C₂×#41	C₂³×C₃	1	2	yes	—
816	C₂×#41	C₂³×C₃	1	4	yes	—
817	C₂×#41	C₂³×C₃	1	4	yes	—
818	C₂×#41	C₂³×C₃	1	4	yes	—
819	C₂×#41	C₂³×C₃	1	8	yes	complemented
820	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
821	C₂²×Q₈	C₂³×C₃	1	4	yes	complemented
822	C₂²×D₄	—	2	8	no	—
823	C₂²×D₄	C₂³×C₃	1	4	yes	—
824	C₂²×D₄	C₂³×C₃	1	4	yes	—
825	C₂²×D₄	C₂³×C₃	1	4	yes	—
826	C₂²×D₄	C₂³×C₃	1	2	yes	—
827	C₂²×D₄	C₂³×C₃	1	2	yes	—
828	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
829	C₂²×D₄	C₂³×C₃	1	4	yes	—
830	C₂²×D₄	C₂³×C₃	1	4	yes	—
831	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
832	C₂²×D₄	C₂³×C₃	1	4	yes	—
833	C₂²×D₄	C₂³×C₃	1	2	yes	—
834	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
835	C₂³×C₄	C₂³×C₃	1	2	yes	—
836	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
837	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
838	C₂³×C₄	C₂³×C₃	1	4	yes	—
839	C₂³×C₄	C₂³×C₃	1	2	yes	—
840	C₂³×C₄	C₂³×C₃	1	4	yes	—
841	C₂³×C₄	C₂³×C₃	1	4	yes	complemented
842	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
843	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
844	C₄⋊Q₈	C₂³×C₃	1	2	yes	complemented
845	C₄⋊Q₈	C₂³×C₃	1	2	yes	complemented
846	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
847	#127	C₂³×C₃	1	4	yes	—
848	#126	C₂³×C₃	1	4	yes	—
849	#126	C₂³×C₃	1	4	yes	—
850	#126	C₂³×C₃	1	8	yes	—
851	#126	C₂³×C₃	1	8	yes	—
852	#126	C₂³×C₃	1	8	yes	complemented
853	#126	C₂³×C₃	1	8	yes	complemented
854	#126	C₂³×C₃	1	8	yes	complemented
855	#126	C₂³×C₃	1	8	yes	complemented
856	#126	C₂³×C₃	1	4	yes	complemented
857	#126	C₂³×C₃	1	4	yes	complemented
858	#126	C₂³×C₃	1	8	yes	complemented
859	#126	C₂³×C₃	1	8	yes	complemented
860	#126	C₂³×C₃	1	8	yes	complemented
861	#126	C₂³×C₃	1	8	yes	complemented
862	#126	C₂³×C₃	1	4	yes	complemented
863	#126	C₂³×C₃	1	4	yes	complemented
864	#125	C₂³×C₃	1	4	yes	complemented
865	#125	C₂³×C₃	1	2	yes	complemented
866	#125	C₂³×C₃	1	2	yes	complemented
867	#125	C₂³×C₃	1	4	yes	complemented
868	#125	C₂³×C₃	1	4	yes	complemented
869	#125	C₂³×C₃	1	8	yes	complemented
870	#125	C₂³×C₃	1	8	yes	complemented
871	#125	C₂³×C₃	1	4	yes	complemented
872	#125	C₂³×C₃	1	4	yes	complemented
873	#125	C₂³×C₃	1	8	yes	complemented
874	#124	C₂³×C₃	1	4	yes	—
875	#124	C₂³×C₃	1	4	yes	—
876	#124	C₂³×C₃	1	8	yes	—
877	#124	C₂³×C₃	1	4	yes	—
878	#124	C₂³×C₃	1	4	yes	—
879	#124	C₂³×C₃	1	4	yes	—
880	#124	C₂³×C₃	1	8	yes	complemented
881	#124	C₂³×C₃	1	8	yes	complemented
882	#124	C₂³×C₃	1	4	yes	complemented
883	#124	C₂³×C₃	1	4	yes	complemented
884	#124	C₂³×C₃	1	8	yes	complemented
885	#124	C₂³×C₃	1	8	yes	complemented
886	#123	C₂³×C₃	1	4	yes	—
887	#123	C₂³×C₃	1	4	yes	—
888	#123	C₂³×C₃	1	4	yes	—
889	#123	C₂³×C₃	1	8	yes	—
890	#123	C₂³×C₃	1	8	yes	—
891	#123	C₂³×C₃	1	8	yes	—
892	#123	C₂³×C₃	1	8	yes	—
893	#123	C₂³×C₃	1	8	yes	—
894	#123	C₂³×C₃	1	4	yes	—
895	#123	C₂³×C₃	1	4	yes	—
896	#123	C₂³×C₃	1	8	yes	—
897	#123	C₂³×C₃	1	4	yes	—
898	#123	C₂³×C₃	1	8	yes	complemented
899	#123	C₂³×C₃	1	8	yes	complemented
900	#123	C₂³×C₃	1	8	yes	complemented
901	#123	C₂³×C₃	1	8	yes	complemented
902	#123	C₂³×C₃	1	8	yes	complemented
903	#123	C₂³×C₃	1	8	yes	complemented
904	#123	C₂³×C₃	1	4	yes	complemented
905	#123	C₂³×C₃	1	8	yes	complemented
906	#123	C₂³×C₃	1	8	yes	complemented
907	#123	C₂³×C₃	1	8	yes	complemented
908	#123	C₂³×C₃	1	4	yes	complemented
909	#123	C₂³×C₃	1	8	yes	complemented
910	#123	C₂³×C₃	1	8	yes	complemented
911	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
912	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
913	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
914	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
915	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
916	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
917	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
918	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
919	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
920	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
921	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
922	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
923	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
924	C₂²⋊Q₈	C₂³×C₃	1	2	yes	complemented
925	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
926	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
927	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
928	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
929	C₂²⋊Q₈	C₂³×C₃	1	2	yes	complemented
930	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
931	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
932	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
933	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
934	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
935	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
936	#121	C₂³×C₃	1	8	yes	—
937	#121	C₂³×C₃	1	4	yes	—
938	#121	C₂³×C₃	1	8	yes	—
939	#121	C₂³×C₃	1	4	yes	—
940	#121	C₂³×C₃	1	2	yes	—
941	#121	C₂³×C₃	1	2	yes	—
942	#121	C₂³×C₃	1	4	yes	—
943	#121	C₂³×C₃	1	8	yes	—
944	#121	C₂³×C₃	1	8	yes	—
945	#121	C₂³×C₃	1	4	yes	—
946	#121	C₂³×C₃	1	4	yes	—
947	#121	C₂³×C₃	1	4	yes	—
948	#121	C₂³×C₃	1	4	yes	—
949	#121	C₂³×C₃	1	2	yes	complemented
950	#121	C₂³×C₃	1	8	yes	complemented
951	#121	C₂³×C₃	1	8	yes	complemented
952	#121	C₂³×C₃	1	8	yes	complemented
953	#121	C₂³×C₃	1	8	yes	complemented
954	#121	C₂³×C₃	1	2	yes	complemented
955	#121	C₂³×C₃	1	8	yes	complemented
956	#120	C₂³×C₃	1	4	yes	—
957	#120	C₂³×C₃	1	8	yes	—
958	#120	C₂³×C₃	1	8	yes	—
959	#120	C₂³×C₃	1	8	yes	—
960	#120	C₂³×C₃	1	8	yes	—
961	#120	C₂³×C₃	1	8	yes	—
962	#120	C₂³×C₃	1	8	yes	—
963	#120	C₂³×C₃	1	4	yes	—
964	#120	C₂³×C₃	1	8	yes	complemented
965	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
966	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
967	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
968	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
969	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
970	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
971	C₄×Q₈	C₂³×C₃	1	2	yes	complemented
972	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
973	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
974	C₄×Q₈	C₂³×C₃	1	8	yes	complemented
975	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
976	C₄×D₄	C₂³×C₃	1	4	yes	—
977	C₄×D₄	C₂³×C₃	1	4	yes	—
978	C₄×D₄	C₂³×C₃	1	4	yes	—
979	C₄×D₄	C₂³×C₃	1	4	yes	—
980	C₄×D₄	C₂³×C₃	1	4	yes	—
981	C₄×D₄	C₂³×C₃	1	4	yes	—
982	C₄×D₄	C₂³×C₃	1	2	yes	—
983	C₄×D₄	C₂³×C₃	1	4	yes	—
984	C₄×D₄	C₂³×C₃	1	4	yes	—
985	C₄×D₄	C₂³×C₃	1	8	yes	—
986	C₄×D₄	C₂³×C₃	1	8	yes	—
987	C₄×D₄	C₂³×C₃	1	4	yes	—
988	C₄×D₄	C₂³×C₃	1	4	yes	—
989	C₄×D₄	C₂³×C₃	1	4	yes	—
990	C₄×D₄	C₂³×C₃	1	8	yes	—
991	C₄×D₄	C₂³×C₃	1	8	yes	—
992	C₄×D₄	C₂³×C₃	1	4	yes	—
993	C₄×D₄	C₂³×C₃	1	8	yes	—
994	C₄×D₄	C₂³×C₃	1	8	yes	—
995	C₄×D₄	C₂³×C₃	1	2	yes	—
996	C₄×D₄	C₂³×C₃	1	2	yes	—
997	C₄×D₄	C₂³×C₃	1	2	yes	—
998	C₄×D₄	C₂³×C₃	1	4	yes	—
999	C₄×D₄	C₂³×C₃	1	4	yes	—
1000	C₄×D₄	C₂³×C₃	1	4	yes	—
1001	C₄×D₄	C₂³×C₃	1	4	yes	—
1002	C₄×D₄	C₂³×C₃	1	4	yes	—
1003	C₄×D₄	C₂³×C₃	1	4	yes	—
1004	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1005	C₄×D₄	C₂³×C₃	1	2	yes	complemented
1006	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1007	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1008	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1009	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1010	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1011	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1012	C₄×D₄	C₂³×C₃	1	2	yes	complemented
1013	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1014	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1015	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1016	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1017	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1018	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1019	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1020	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1021	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1022	#117	C₂³×C₃	1	4	yes	—
1023	#117	C₂³×C₃	1	2	yes	—
1024	#117	C₂³×C₃	1	4	yes	—
1025	#117	C₂³×C₃	1	2	yes	—
1026	#117	C₂³×C₃	1	2	yes	—
1027	#117	C₂³×C₃	1	4	yes	—
1028	#117	C₂³×C₃	1	4	yes	—
1029	#117	C₂³×C₃	1	2	yes	—
1030	#117	C₂³×C₃	1	2	yes	—
1031	#117	C₂³×C₃	1	8	yes	—
1032	#117	C₂³×C₃	1	8	yes	—
1033	#117	C₂³×C₃	1	8	yes	complemented
1034	#117	C₂³×C₃	1	2	yes	complemented
1035	#117	C₂³×C₃	1	2	yes	complemented
1036	#117	C₂³×C₃	1	4	yes	complemented
1037	#117	C₂³×C₃	1	8	yes	complemented
1038	#117	C₂³×C₃	1	8	yes	complemented
1039	#117	C₂³×C₃	1	8	yes	complemented
1040	#117	C₂³×C₃	1	4	yes	complemented
1041	#117	C₂³×C₃	1	8	yes	complemented
1042	#117	C₂³×C₃	1	4	yes	complemented
1043	#117	C₂³×C₃	1	4	yes	complemented
1044	#117	C₂³×C₃	1	4	yes	complemented
1045	#117	C₂³×C₃	1	8	yes	complemented
1046	#117	C₂³×C₃	1	8	yes	complemented
1047	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1048	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1049	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1052	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1053	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1054	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
1055	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
1056	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1057	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1058	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1059	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1060	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1061	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1062	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1063	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1064	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1066	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1067	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1068	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1069	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1070	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1071	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1072	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1073	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1074	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1075	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1076	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1077	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1078	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1079	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1080	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1081	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1082	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1083	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1085	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1086	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
1087	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
1088	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
1089	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	complemented
1090	C₂×C₄²	C₂³×C₃	1	4	yes	—
1091	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₃	1	4	yes	complemented
1093	C₂×C₄²	C₂³×C₃	1	4	yes	complemented
1094	C₂×C₄²	C₂³×C₃	1	4	yes	complemented
1095	C₂×C₄²	C₂³×C₃	1	4	yes	complemented
1096	C₂×C₄²	C₂³×C₃	1	4	yes	complemented
1097	C₂³×C₃	—	2	2	no	—
1098	C₂³×C₃	—	2	8	no	—
1099	C₂³×C₃	—	2	8	no	—
1100	C₂³×C₃	—	2	2	no	—
1101	C₂³×C₃	—	2	2	no	—
1102	C₂³×C₃	—	2	8	no	—
1103	C₂³×C₃	—	2	8	no	—
1104	C₂³×C₃	—	2	4	no	—
1105	C₂³×C₃	—	4	2	no	—
1106	C₂³×C₃	—	4	4	no	—
1107	C₂³×C₃	—	4	2	no	—
1108	C₂³×C₃	—	4	1	no	—
1109	C₂³×C₃	—	4	4	no	—
1110	C₂³×C₃	—	4	4	no	—
1111	C₂³×C₃	—	4	1	no	—
1112	C₂³×C₃	—	4	1	no	—
1113	C₂³×C₃	—	4	4	no	—
1114	C₂³×C₃	—	4	2	no	—
1115	C₂³×C₃	—	4	4	no	—
1116	C₂³×C₃	—	4	2	no	—
1117	C₂³×C₃	—	8	16	no	—
1118	C₂³×C₃	C₂×#41	1	8	yes	—
1119	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1120	C₂³×C₃	C₂⁵	1	4	yes	—
1121	C₂³×C₃	C₂⁵	1	4	yes	—
1122	C₂³×C₃	C₂⁵	1	2	yes	—
1123	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1124	C₂³×C₃	C₂⁵	1	4	yes	—
1125	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1126	C₃×Q₈	—	2	8	no	—
1127	C₃×Q₈	—	2	4	no	—
1128	C₃×Q₈	—	4	4	no	—
1129	C₃×Q₈	—	4	8	no	—
1130	C₃×Q₈	—	4	4	no	—
1131	C₃×D₄	—	2	16	no	—
1132	C₃×D₄	—	2	8	no	—
1133	C₃×D₄	—	2	16	no	—
1134	C₃×D₄	—	2	16	no	—
1135	C₃×D₄	—	2	8	no	—
1136	C₃×D₄	—	2	4	no	—
1137	C₃×D₄	—	2	8	no	—
1138	C₃×D₄	—	2	4	no	—
1139	C₃×D₄	—	4	8	no	—
1140	C₃×D₄	—	4	2	no	—
1141	C₃×D₄	—	4	4	no	—
1142	C₃×D₄	—	4	8	no	—
1143	C₃×D₄	—	4	8	no	—
1144	C₃×D₄	—	4	4	no	—
1145	C₃×D₄	—	4	4	no	—
1146	C₃×D₄	C₂×#41	1	16	yes	—
1147	C₂×C₃×C₄	—	2	2	no	—
1148	C₂×C₃×C₄	—	2	2	no	—
1149	C₂×C₃×C₄	—	2	4	no	—
1150	C₂×C₃×C₄	—	2	8	no	—
1151	C₂×C₃×C₄	—	2	8	no	—
1152	C₂×C₃×C₄	—	2	8	no	—
1153	C₂×C₃×C₄	—	2	8	no	—
1154	C₂×C₃×C₄	—	2	4	no	—
1155	C₂×C₃×C₄	—	2	4	no	—
1156	C₂×C₃×C₄	—	2	4	no	—
1157	C₂×C₃×C₄	—	2	4	no	—
1158	C₂×C₃×C₄	—	2	8	no	—
1159	C₂×C₃×C₄	—	4	4	no	—
1160	C₂×C₃×C₄	—	4	8	no	—
1161	C₂×C₃×C₄	—	4	4	no	—
1162	C₂×C₃×C₄	—	4	4	no	—
1163	C₂×C₃×C₄	—	4	4	no	—
1164	C₂×C₃×C₄	—	4	4	no	—
1165	C₂×C₃×C₄	—	4	4	no	—
1166	C₂×C₃×C₄	—	4	1	no	—
1167	C₂×C₃×C₄	—	4	2	no	—
1168	C₂×C₃×C₄	—	4	4	no	—
1169	C₂×C₃×C₄	—	4	4	no	—
1170	C₂×C₃×C₄	—	4	8	no	—
1171	C₂×C₃×C₄	—	4	8	no	—
1172	C₂×C₃×C₄	—	4	4	no	—
1173	C₂×C₃×C₄	—	4	1	no	—
1174	C₂×C₃×C₄	—	4	4	no	—
1175	C₂×C₃×C₄	—	4	4	no	—
1176	C₂×C₃×C₄	—	4	4	no	—
1177	C₂×C₃×C₄	—	4	4	no	—
1178	C₂×C₃×C₄	C₂×#41	1	4	yes	—
1179	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1180	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1181	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1182	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1183	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1184	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1185	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1186	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1187	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1188	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1189	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1190	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1191	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1192	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1193	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1194	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1195	C₂⁴	—	2	8	no	—
1196	C₂⁴	—	4	4	no	—
1197	C₂⁴	—	8	2	no	—
1198	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1199	C₂⁴	C₂⁴×C₃	1	4	yes	—
1200	C₂⁴	C₂⁴×C₃	1	4	yes	—
1201	C₂⁴	C₂⁴×C₃	1	2	yes	—
1202	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂⁴	C₂⁴×C₃	1	4	yes	—
1204	C₂⁴	C₂⁴×C₃	1	2	yes	—
1205	#41	—	2	16	no	—
1206	#41	—	2	16	no	—
1207	#41	—	2	16	no	—
1208	#41	—	2	8	no	—
1209	#41	—	4	8	no	—
1210	#41	—	8	8	no	—
1211	C₂×Q₈	—	2	4	no	—
1212	C₂×Q₈	—	8	4	no	—
1213	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1214	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1215	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1216	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1217	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1218	C₂×D₄	—	2	8	no	—
1219	C₂×D₄	—	2	8	no	—
1220	C₂×D₄	—	2	16	no	—
1221	C₂×D₄	—	2	16	no	—
1222	C₂×D₄	—	2	16	no	—
1223	C₂×D₄	—	2	16	no	—
1224	C₂×D₄	—	2	4	no	—
1225	C₂×D₄	—	4	8	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	8	2	no	—
1228	C₂×D₄	—	8	4	no	—
1229	C₂×D₄	C₃×#41	1	8	yes	complemented
1230	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1231	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1232	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1233	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1234	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1235	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1236	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1237	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1238	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1239	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1240	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1241	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1242	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1243	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1244	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1245	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1246	C₂²×C₄	—	2	8	no	—
1247	C₂²×C₄	—	2	4	no	—
1248	C₂²×C₄	—	2	4	no	—
1249	C₂²×C₄	—	4	8	no	—
1250	C₂²×C₄	—	8	2	no	—
1251	C₂²×C₄	—	8	4	no	—
1252	C₂²×C₄	—	8	4	no	—
1253	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1254	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1255	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1256	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1257	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1258	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1259	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1261	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1262	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1264	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1265	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1268	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1269	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1270	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1271	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1272	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1273	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1276	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1277	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1278	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1279	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1280	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1281	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1282	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1283	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1284	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1285	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1286	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1287	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1288	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1289	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1290	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1291	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1292	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1293	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1294	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1295	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1296	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1297	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1298	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1299	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1300	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1301	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1302	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1303	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1304	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1305	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1306	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1307	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1308	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1309	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1311	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1312	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1313	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1314	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1315	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1319	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1320	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1321	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1322	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1323	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1324	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1325	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1326	C₂²⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1327	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1328	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1329	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1330	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1331	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1332	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1333	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1334	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1335	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1336	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1337	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1338	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1339	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1340	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1341	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1342	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1343	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1344	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1345	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1346	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1347	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1348	C₂²⋊C₄	C₂⁴×C₃	1	2	yes	—
1349	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1350	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1352	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1354	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1357	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1360	C₄²	C₂⁴×C₃	1	4	yes	—
1361	C₄²	C₂⁴×C₃	1	2	yes	—
1362	C₄²	C₂⁴×C₃	1	4	yes	—
1363	C₄²	C₂⁴×C₃	1	4	yes	—
1364	C₄²	C₂⁴×C₃	1	4	yes	—
1365	C₄²	C₂⁴×C₃	1	2	yes	—
1366	C₄²	C₂⁴×C₃	1	4	yes	—
1367	C₄²	C₂⁴×C₃	1	4	yes	—
1368	C₄²	C₂⁴×C₃	1	4	yes	—
1369	C₄²	C₂⁴×C₃	1	8	yes	—
1370	C₄²	C₂⁴×C₃	1	8	yes	—
1371	C₄²	C₂⁴×C₃	1	8	yes	—
1372	C₄²	C₂⁴×C₃	1	4	yes	—
1373	C₄²	C₂⁴×C₃	1	4	yes	—
1374	C₂²×C₃	—	2	1	no	—
1375	C₂²×C₃	—	2	4	no	—
1376	C₂²×C₃	—	2	1	no	—
1377	C₂²×C₃	—	2	4	no	—
1378	C₂²×C₃	—	2	1	no	—
1379	C₂²×C₃	—	2	1	no	—
1380	C₂²×C₃	—	2	2	no	—
1381	C₂²×C₃	—	2	1	no	—
1382	C₂²×C₃	—	2	4	no	—
1383	C₂²×C₃	—	2	4	no	—
1384	C₂²×C₃	—	2	2	no	—
1385	C₂²×C₃	—	2	4	no	—
1386	C₂²×C₃	—	2	4	no	—
1387	C₂²×C₃	—	2	1	no	—
1388	C₂²×C₃	—	2	4	no	—
1389	C₂²×C₃	—	2	2	no	—
1390	C₂²×C₃	—	2	4	no	—
1391	C₂²×C₃	—	2	1	no	—
1392	C₂²×C₃	—	4	8	no	—
1393	C₂²×C₃	—	4	16	no	—
1394	C₂²×C₃	—	4	4	no	—
1395	C₂²×C₃	—	8	2	no	—
1396	C₂²×C₃	—	8	8	no	—
1397	C₂²×C₃	—	8	4	no	—
1398	C₂²×C₃	—	8	8	no	—
1399	C₂²×C₃	C₂²×#41	1	2	yes	—
1400	C₂²×C₃	C₂²×#41	1	8	yes	—
1401	C₂²×C₃	#585	1	2	yes	—
1402	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1403	C₃×C₄	—	2	1	no	—
1404	C₃×C₄	—	2	1	no	—
1405	C₃×C₄	—	2	2	no	—
1406	C₃×C₄	—	2	4	no	—
1407	C₃×C₄	—	2	4	no	—
1408	C₃×C₄	—	2	4	no	—
1409	C₃×C₄	—	2	4	no	—
1410	C₃×C₄	—	2	4	no	—
1411	C₃×C₄	—	2	2	no	—
1412	C₃×C₄	—	2	1	no	—
1413	C₃×C₄	—	2	4	no	—
1414	C₃×C₄	—	2	4	no	—
1415	C₃×C₄	—	2	4	no	—
1416	C₃×C₄	—	2	1	no	—
1417	C₃×C₄	—	2	4	no	—
1418	C₃×C₄	C₂²×#41	1	4	yes	—
1419	C₂³	—	2	2	no	—
1420	C₂³	—	2	8	no	—
1421	C₂³	—	2	8	no	—
1422	C₂³	—	2	2	no	—
1423	C₂³	—	2	2	no	—
1424	C₂³	—	2	8	no	—
1425	C₂³	—	2	8	no	—
1426	C₂³	—	2	4	no	—
1427	C₂³	—	4	2	no	—
1428	C₂³	—	4	4	no	—
1429	C₂³	—	4	2	no	—
1430	C₂³	—	4	1	no	—
1431	C₂³	—	4	4	no	—
1432	C₂³	—	4	4	no	—
1433	C₂³	—	4	1	no	—
1434	C₂³	—	4	1	no	—
1435	C₂³	—	4	4	no	—
1436	C₂³	—	4	2	no	—
1437	C₂³	—	4	4	no	—
1438	C₂³	—	4	2	no	—
1439	C₂³	—	8	16	no	—
1440	C₂³	C₂×C₃×#41	1	8	yes	—
1441	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1442	C₂³	C₂⁵×C₃	1	4	yes	—
1443	C₂³	C₂⁵×C₃	1	4	yes	—
1444	C₂³	C₂⁵×C₃	1	2	yes	—
1445	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1446	C₂³	C₂⁵×C₃	1	4	yes	—
1447	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1448	Q₈	—	2	8	no	—
1449	Q₈	—	2	4	no	—
1450	Q₈	—	4	4	no	—
1451	Q₈	—	4	8	no	—
1452	Q₈	—	4	4	no	—
1453	D₄	—	2	16	no	—
1454	D₄	—	2	8	no	—
1455	D₄	—	2	16	no	—
1456	D₄	—	2	16	no	—
1457	D₄	—	2	8	no	—
1458	D₄	—	2	4	no	—
1459	D₄	—	2	8	no	—
1460	D₄	—	2	4	no	—
1461	D₄	—	4	8	no	—
1462	D₄	—	4	2	no	—
1463	D₄	—	4	4	no	—
1464	D₄	—	4	8	no	—
1465	D₄	—	4	8	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	C₂×C₃×#41	1	16	yes	—
1469	C₂×C₄	—	2	2	no	—
1470	C₂×C₄	—	2	2	no	—
1471	C₂×C₄	—	2	4	no	—
1472	C₂×C₄	—	2	8	no	—
1473	C₂×C₄	—	2	8	no	—
1474	C₂×C₄	—	2	8	no	—
1475	C₂×C₄	—	2	8	no	—
1476	C₂×C₄	—	2	4	no	—
1477	C₂×C₄	—	2	4	no	—
1478	C₂×C₄	—	2	4	no	—
1479	C₂×C₄	—	2	4	no	—
1480	C₂×C₄	—	2	8	no	—
1481	C₂×C₄	—	4	4	no	—
1482	C₂×C₄	—	4	8	no	—
1483	C₂×C₄	—	4	4	no	—
1484	C₂×C₄	—	4	4	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	4	4	no	—
1487	C₂×C₄	—	4	4	no	—
1488	C₂×C₄	—	4	1	no	—
1489	C₂×C₄	—	4	2	no	—
1490	C₂×C₄	—	4	4	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	4	8	no	—
1493	C₂×C₄	—	4	8	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	4	1	no	—
1496	C₂×C₄	—	4	4	no	—
1497	C₂×C₄	—	4	4	no	—
1498	C₂×C₄	—	4	4	no	—
1499	C₂×C₄	—	4	4	no	—
1500	C₂×C₄	C₂×C₃×#41	1	4	yes	—
1501	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1502	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1503	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1504	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1505	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1506	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1507	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1508	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1509	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1510	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1511	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1512	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1513	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1514	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1515	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1516	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1517	C₂×C₃	—	2	2	no	—
1518	C₂×C₃	—	2	2	no	—
1519	C₂×C₃	—	2	8	no	—
1520	C₂×C₃	—	4	4	no	—
1521	C₂×C₃	—	4	1	no	—
1522	C₂×C₃	—	4	2	no	—
1523	C₂×C₃	—	4	4	no	—
1524	C₂×C₃	C₂³×#41	1	1	yes	characteristic
1525	C₂×C₃	C₂×#585	1	1	yes	characteristic
1526	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	4	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	2	4	no	—
1531	C₂²	—	2	1	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	1	no	—
1535	C₂²	—	2	4	no	—
1536	C₂²	—	2	4	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	4	no	—
1539	C₂²	—	2	4	no	—
1540	C₂²	—	2	1	no	—
1541	C₂²	—	2	4	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	4	no	—
1544	C₂²	—	2	1	no	—
1545	C₂²	—	4	8	no	—
1546	C₂²	—	4	4	no	—
1547	C₂²	—	4	16	no	—
1548	C₂²	—	8	4	no	—
1549	C₂²	—	8	8	no	—
1550	C₂²	—	8	2	no	—
1551	C₂²	—	8	8	no	—
1552	C₂²	C₂²×C₃×#41	1	2	yes	—
1553	C₂²	C₂²×C₃×#41	1	8	yes	—
1554	C₂²	C₃×#585	1	2	yes	—
1555	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1556	C₄	—	2	1	no	—
1557	C₄	—	2	1	no	—
1558	C₄	—	2	2	no	—
1559	C₄	—	2	4	no	—
1560	C₄	—	2	4	no	—
1561	C₄	—	2	4	no	—
1562	C₄	—	2	4	no	—
1563	C₄	—	2	4	no	—
1564	C₄	—	2	2	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	4	no	—
1567	C₄	—	2	4	no	—
1568	C₄	—	2	4	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	4	no	—
1571	C₄	C₂²×C₃×#41	1	4	yes	—
1572	C₃	#62990	1	1	yes	characteristic, direct product factor, Sylow
1573	C₂	—	2	2	no	—
1574	C₂	—	2	2	no	—
1575	C₂	—	2	8	no	—
1576	C₂	—	4	1	no	—
1577	C₂	—	4	4	no	—
1578	C₂	—	4	4	no	—
1579	C₂	—	4	2	no	—
1580	C₂	C₂³×C₃×#41	1	1	yes	characteristic
1581	C₂	C₂×C₃×#585	1	1	yes	characteristic
1582	C₂	C₃×H(7,𝔽₂)	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×#3521	C₂	semidirect
2. C₃×#3521	C₂	semidirect
3. C₃×#3520	C₂	semidirect
4. C₃×#3514	C₂	semidirect
5. C₃×#3513	C₂	semidirect
6. C₃×#3513	C₂	semidirect
7. C₃×#3510	C₂	semidirect
8. C₃×#3505	C₂	semidirect
9. C₃×#3501	C₂	semidirect
10. C₃×#3495	C₂	semidirect
11. C₃×#3494	C₂	semidirect
12. C₃×#3491	C₂	semidirect
13. C₃×#3490	C₂	semidirect
14. C₃×#3485	C₂	semidirect
15. C₃×#3484	C₂	semidirect
16. C₃×#3481	C₂	semidirect
17. C₃×#3475	C₂	semidirect
18. C₃×#3475	C₂	semidirect
19. C₂×C₃×#551	C₂	semidirect
20. C₂×C₃×#546	C₂	semidirect
21. C₃×C₄×H(5,𝔽₂)	C₂	semidirect
22. C₃×#3428	C₂	semidirect
23. C₂×C₃×#518	C₂	semidirect
24. #62990	C₃	direct (N × H)
28. C₃×#559	C₂²	semidirect
29. C₃×#559	C₂²	semidirect
30. C₃×#556	C₂²	semidirect
31. C₃×#556	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#556	C₂²	semidirect
34. C₃×#555	C₂²	semidirect
35. C₃×#555	C₂²	semidirect
36. C₃×#554	C₂²	semidirect
37. C₃×#554	C₂²	semidirect
38. C₃×#554	C₂²	semidirect
39. C₃×#554	C₂²	semidirect
40. C₃×#554	C₂²	semidirect
41. C₃×#553	C₂²	semidirect
42. C₃×#553	C₂²	semidirect
43. C₃×#553	C₂²	semidirect
44. C₃×#553	C₂²	semidirect
45. C₃×#553	C₂²	semidirect
46. C₃×#553	C₂²	semidirect
47. C₃×#553	C₂²	semidirect
48. C₃×#552	C₂²	semidirect
49. C₃×#552	C₂²	semidirect
50. C₃×#552	C₂²	semidirect
51. C₃×#552	C₂²	semidirect
52. C₃×#552	C₂²	semidirect
53. C₃×#552	C₂²	semidirect
54. C₃×#552	C₂²	semidirect
55. C₃×#552	C₂²	semidirect
56. C₃×#551	C₂²	semidirect
57. C₃×#551	C₂²	semidirect
58. C₃×#551	C₂²	semidirect
59. C₃×#551	C₂²	semidirect
60. C₃×#551	C₂²	semidirect
61. C₃×#551	C₂²	semidirect
62. C₃×#551	C₂²	semidirect
63. C₃×#551	C₂²	semidirect
64. C₃×#551	C₂²	semidirect
65. C₃×#551	C₂²	semidirect
66. C₃×#551	C₂²	semidirect
67. C₃×#551	C₂²	semidirect
68. C₃×#551	C₂²	semidirect
69. C₃×#551	C₂²	semidirect
70. C₃×D₄×Q₈	C₂²	semidirect
71. C₃×#548	C₂²	semidirect
72. C₃×#547	C₂²	semidirect
73. C₃×#547	C₂²	semidirect
74. C₃×#547	C₂²	semidirect
75. C₃×#547	C₂²	semidirect
76. C₃×#546	C₂²	semidirect
77. C₃×#546	C₂²	semidirect
78. C₃×#546	C₂²	semidirect
79. C₃×#546	C₂²	semidirect
80. C₃×#546	C₂²	semidirect
81. C₃×#546	C₂²	semidirect
82. C₃×#546	C₂²	semidirect
83. C₃×#546	C₂²	semidirect
84. C₃×#546	C₂²	semidirect
85. C₃×#546	C₂²	semidirect
86. C₃×#546	C₂²	semidirect
87. C₃×#546	C₂²	semidirect
88. C₃×D₄²	C₂²	semidirect
89. C₃×D₄²	C₂²	semidirect
90. C₃×#544	C₂²	semidirect
91. C₃×#543	C₂²	semidirect
92. C₃×#542	C₂²	semidirect
93. C₃×#542	C₂²	semidirect
94. C₃×#542	C₂²	semidirect
95. C₃×#542	C₂²	semidirect
96. C₃×#541	C₂²	semidirect
97. C₃×#540	C₂²	semidirect
98. C₃×#539	C₂²	semidirect
99. C₃×#539	C₂²	semidirect
100. C₃×#539	C₂²	semidirect
101. C₃×#538	C₂²	semidirect
102. C₃×#538	C₂²	semidirect
103. C₃×#538	C₂²	semidirect
104. C₃×#536	C₂²	semidirect
107. C₃×#534	C₂²	semidirect
108. C₃×#533	C₂²	semidirect
109. C₃×#533	C₂²	semidirect
110. C₃×#532	C₂²	semidirect
111. C₃×#529	C₂²	semidirect
112. C₃×#529	C₂²	semidirect
113. C₃×#529	C₂²	semidirect
114. C₃×#529	C₂²	semidirect
115. C₃×#529	C₂²	semidirect
116. C₃×#529	C₂²	semidirect
117. C₃×#529	C₂²	semidirect
118. C₃×#529	C₂²	semidirect
119. C₃×#529	C₂²	semidirect
120. C₃×#529	C₂²	semidirect
121. C₂×C₃×#126	C₂²	semidirect
122. C₂×C₃×#126	C₂²	semidirect
123. C₂×C₃×#124	C₂²	semidirect
124. C₂×C₃×#124	C₂²	semidirect
126. C₃×#525	C₂²	semidirect
127. C₃×#525	C₂²	semidirect
128. C₃×#525	C₂²	semidirect
129. C₃×#525	C₂²	semidirect
130. C₂×C₃×#123	C₂²	semidirect
131. C₂×C₃×#123	C₂²	semidirect
132. C₂×C₃×#123	C₂²	semidirect
133. C₂×C₃×#123	C₂²	semidirect
134. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
135. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
136. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
137. C₂×C₃×#121	C₂²	semidirect
138. C₂×C₃×#121	C₂²	semidirect
140. C₂×C₃×#120	C₂²	semidirect
141. C₃×#520	C₂²	semidirect
142. C₃×#520	C₂²	semidirect
143. C₃×#520	C₂²	semidirect
144. C₃×#520	C₂²	semidirect
145. C₃×#519	C₂²	semidirect
149. C₃×#518	C₂²	semidirect
150. C₃×#518	C₂²	semidirect
151. C₃×#518	C₂²	semidirect
152. C₃×#518	C₂²	semidirect
153. C₃×#518	C₂²	semidirect
154. C₃×#518	C₂²	semidirect
155. C₃×#518	C₂²	semidirect
156. C₃×C₄×#41	C₂²	semidirect
157. C₃×C₄×#41	C₂²	semidirect
158. C₃×C₄×#41	C₂²	semidirect
159. C₃×C₄×#41	C₂²	semidirect
160. C₃×C₄×#41	C₂²	semidirect
162. C₂×C₃×C₄×D₄	C₂²	semidirect
163. C₂×C₃×C₄×D₄	C₂²	semidirect
164. C₂×C₃×C₄×D₄	C₂²	semidirect
165. C₂×C₃×C₄×D₄	C₂²	semidirect
166. C₂×C₃×C₄×D₄	C₂²	semidirect
167. C₂×C₃×C₄×D₄	C₂²	semidirect
168. C₂×C₃×#117	C₂²	semidirect
169. C₂×C₃×#117	C₂²	semidirect
170. C₂×C₃×#117	C₂²	semidirect
171. C₂×C₃×#117	C₂²	semidirect
172. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
173. C₂²×C₃×C₂²⋊C₄	C₂²	semidirect
174. #3521	C₂×C₃	semidirect
175. #3521	C₂×C₃	semidirect
176. #3520	C₂×C₃	semidirect
177. #3514	C₂×C₃	semidirect
178. #3513	C₂×C₃	semidirect
179. #3513	C₂×C₃	semidirect
180. #3510	C₂×C₃	semidirect
181. #3505	C₂×C₃	semidirect
182. #3501	C₂×C₃	semidirect
183. #3495	C₂×C₃	semidirect
184. #3494	C₂×C₃	semidirect
185. #3491	C₂×C₃	semidirect
186. #3490	C₂×C₃	semidirect
187. #3485	C₂×C₃	semidirect
188. #3484	C₂×C₃	semidirect
189. #3481	C₂×C₃	semidirect
190. #3475	C₂×C₃	semidirect
191. #3475	C₂×C₃	semidirect
192. C₂×#551	C₂×C₃	semidirect
193. C₂×#546	C₂×C₃	semidirect
194. C₄×H(5,𝔽₂)	C₂×C₃	semidirect
195. #3428	C₂×C₃	semidirect
196. C₂×#518	C₂×C₃	semidirect
205. C₂×C₃×#41	C₂³	semidirect
207. C₂²×C₃×Q₈	C₂³	semidirect
227. C₂³×C₃×C₄	C₂³	semidirect
228. C₃×C₄⋊Q₈	C₂³	semidirect
229. C₃×C₄⋊Q₈	C₂³	semidirect
230. C₃×C₄⋊Q₈	C₂³	semidirect
231. C₃×C₄⋊Q₈	C₂³	semidirect
232. C₃×C₄⋊Q₈	C₂³	semidirect
238. C₃×#126	C₂³	semidirect
239. C₃×#126	C₂³	semidirect
240. C₃×#126	C₂³	semidirect
241. C₃×#126	C₂³	semidirect
242. C₃×#126	C₂³	semidirect
243. C₃×#126	C₂³	semidirect
244. C₃×#126	C₂³	semidirect
245. C₃×#126	C₂³	semidirect
246. C₃×#126	C₂³	semidirect
247. C₃×#126	C₂³	semidirect
248. C₃×#126	C₂³	semidirect
249. C₃×#126	C₂³	semidirect
250. C₃×#125	C₂³	semidirect
251. C₃×#125	C₂³	semidirect
252. C₃×#125	C₂³	semidirect
253. C₃×#125	C₂³	semidirect
254. C₃×#125	C₂³	semidirect
255. C₃×#125	C₂³	semidirect
256. C₃×#125	C₂³	semidirect
257. C₃×#125	C₂³	semidirect
258. C₃×#125	C₂³	semidirect
259. C₃×#125	C₂³	semidirect
266. C₃×#124	C₂³	semidirect
267. C₃×#124	C₂³	semidirect
268. C₃×#124	C₂³	semidirect
269. C₃×#124	C₂³	semidirect
270. C₃×#124	C₂³	semidirect
271. C₃×#124	C₂³	semidirect
284. C₃×#123	C₂³	semidirect
285. C₃×#123	C₂³	semidirect
286. C₃×#123	C₂³	semidirect
287. C₃×#123	C₂³	semidirect
288. C₃×#123	C₂³	semidirect
289. C₃×#123	C₂³	semidirect
290. C₃×#123	C₂³	semidirect
291. C₃×#123	C₂³	semidirect
292. C₃×#123	C₂³	semidirect
293. C₃×#123	C₂³	semidirect
294. C₃×#123	C₂³	semidirect
295. C₃×#123	C₂³	semidirect
296. C₃×#123	C₂³	semidirect
306. C₃×C₂²⋊Q₈	C₂³	semidirect
307. C₃×C₂²⋊Q₈	C₂³	semidirect
308. C₃×C₂²⋊Q₈	C₂³	semidirect
309. C₃×C₂²⋊Q₈	C₂³	semidirect
310. C₃×C₂²⋊Q₈	C₂³	semidirect
311. C₃×C₂²⋊Q₈	C₂³	semidirect
312. C₃×C₂²⋊Q₈	C₂³	semidirect
313. C₃×C₂²⋊Q₈	C₂³	semidirect
314. C₃×C₂²⋊Q₈	C₂³	semidirect
315. C₃×C₂²⋊Q₈	C₂³	semidirect
316. C₃×C₂²⋊Q₈	C₂³	semidirect
317. C₃×C₂²⋊Q₈	C₂³	semidirect
318. C₃×C₂²⋊Q₈	C₂³	semidirect
319. C₃×C₂²⋊Q₈	C₂³	semidirect
320. C₃×C₂²⋊Q₈	C₂³	semidirect
321. C₃×C₂²⋊Q₈	C₂³	semidirect
335. C₃×#121	C₂³	semidirect
336. C₃×#121	C₂³	semidirect
337. C₃×#121	C₂³	semidirect
338. C₃×#121	C₂³	semidirect
339. C₃×#121	C₂³	semidirect
340. C₃×#121	C₂³	semidirect
341. C₃×#121	C₂³	semidirect
350. C₃×#120	C₂³	semidirect
351. C₃×C₄×Q₈	C₂³	semidirect
352. C₃×C₄×Q₈	C₂³	semidirect
353. C₃×C₄×Q₈	C₂³	semidirect
354. C₃×C₄×Q₈	C₂³	semidirect
355. C₃×C₄×Q₈	C₂³	semidirect
356. C₃×C₄×Q₈	C₂³	semidirect
357. C₃×C₄×Q₈	C₂³	semidirect
358. C₃×C₄×Q₈	C₂³	semidirect
359. C₃×C₄×Q₈	C₂³	semidirect
360. C₃×C₄×Q₈	C₂³	semidirect
361. C₃×C₄×Q₈	C₂³	semidirect
390. C₃×C₄×D₄	C₂³	semidirect
391. C₃×C₄×D₄	C₂³	semidirect
392. C₃×C₄×D₄	C₂³	semidirect
393. C₃×C₄×D₄	C₂³	semidirect
394. C₃×C₄×D₄	C₂³	semidirect
395. C₃×C₄×D₄	C₂³	semidirect
396. C₃×C₄×D₄	C₂³	semidirect
397. C₃×C₄×D₄	C₂³	semidirect
398. C₃×C₄×D₄	C₂³	semidirect
399. C₃×C₄×D₄	C₂³	semidirect
400. C₃×C₄×D₄	C₂³	semidirect
401. C₃×C₄×D₄	C₂³	semidirect
402. C₃×C₄×D₄	C₂³	semidirect
403. C₃×C₄×D₄	C₂³	semidirect
404. C₃×C₄×D₄	C₂³	semidirect
405. C₃×C₄×D₄	C₂³	semidirect
406. C₃×C₄×D₄	C₂³	semidirect
407. C₃×C₄×D₄	C₂³	semidirect
419. C₃×#117	C₂³	semidirect
420. C₃×#117	C₂³	semidirect
421. C₃×#117	C₂³	semidirect
422. C₃×#117	C₂³	semidirect
423. C₃×#117	C₂³	semidirect
424. C₃×#117	C₂³	semidirect
425. C₃×#117	C₂³	semidirect
426. C₃×#117	C₂³	semidirect
427. C₃×#117	C₂³	semidirect
428. C₃×#117	C₂³	semidirect
429. C₃×#117	C₂³	semidirect
430. C₃×#117	C₂³	semidirect
431. C₃×#117	C₂³	semidirect
432. C₃×#117	C₂³	semidirect
438. C₂×C₃×C₄⋊C₄	C₂³	semidirect
439. C₂×C₃×C₄⋊C₄	C₂³	semidirect
440. C₂×C₃×C₄⋊C₄	C₂³	semidirect
441. C₂×C₃×C₄⋊C₄	C₂³	semidirect
442. C₂×C₃×C₄⋊C₄	C₂³	semidirect
443. C₂×C₃×C₄⋊C₄	C₂³	semidirect
444. C₂×C₃×C₄⋊C₄	C₂³	semidirect
445. C₂×C₃×C₄⋊C₄	C₂³	semidirect
446. C₂×C₃×C₄⋊C₄	C₂³	semidirect
447. C₂×C₃×C₄⋊C₄	C₂³	semidirect
448. C₂×C₃×C₄⋊C₄	C₂³	semidirect
472. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
473. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
474. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
475. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
478. C₂×C₃×C₄²	C₂³	semidirect
479. C₂×C₃×C₄²	C₂³	semidirect
480. C₂×C₃×C₄²	C₂³	semidirect
481. C₂×C₃×C₄²	C₂³	semidirect
482. C₂×C₃×C₄²	C₂³	semidirect
486. #559	C₂²×C₃	semidirect
487. #559	C₂²×C₃	semidirect
488. #556	C₂²×C₃	semidirect
489. #556	C₂²×C₃	semidirect
490. #556	C₂²×C₃	semidirect
491. #556	C₂²×C₃	semidirect
492. #555	C₂²×C₃	semidirect
493. #555	C₂²×C₃	semidirect
494. #554	C₂²×C₃	semidirect
495. #554	C₂²×C₃	semidirect
496. #554	C₂²×C₃	semidirect
497. #554	C₂²×C₃	semidirect
498. #554	C₂²×C₃	semidirect
499. #553	C₂²×C₃	semidirect
500. #553	C₂²×C₃	semidirect
501. #553	C₂²×C₃	semidirect
502. #553	C₂²×C₃	semidirect
503. #553	C₂²×C₃	semidirect
504. #553	C₂²×C₃	semidirect
505. #553	C₂²×C₃	semidirect
506. #552	C₂²×C₃	semidirect
507. #552	C₂²×C₃	semidirect
508. #552	C₂²×C₃	semidirect
509. #552	C₂²×C₃	semidirect
510. #552	C₂²×C₃	semidirect
511. #552	C₂²×C₃	semidirect
512. #552	C₂²×C₃	semidirect
513. #552	C₂²×C₃	semidirect
514. #551	C₂²×C₃	semidirect
515. #551	C₂²×C₃	semidirect
516. #551	C₂²×C₃	semidirect
517. #551	C₂²×C₃	semidirect
518. #551	C₂²×C₃	semidirect
519. #551	C₂²×C₃	semidirect
520. #551	C₂²×C₃	semidirect
521. #551	C₂²×C₃	semidirect
522. #551	C₂²×C₃	semidirect
523. #551	C₂²×C₃	semidirect
524. #551	C₂²×C₃	semidirect
525. #551	C₂²×C₃	semidirect
526. #551	C₂²×C₃	semidirect
527. #551	C₂²×C₃	semidirect
528. D₄×Q₈	C₂²×C₃	semidirect
529. #548	C₂²×C₃	semidirect
530. #547	C₂²×C₃	semidirect
531. #547	C₂²×C₃	semidirect
532. #547	C₂²×C₃	semidirect
533. #547	C₂²×C₃	semidirect
534. #546	C₂²×C₃	semidirect
535. #546	C₂²×C₃	semidirect
536. #546	C₂²×C₃	semidirect
537. #546	C₂²×C₃	semidirect
538. #546	C₂²×C₃	semidirect
539. #546	C₂²×C₃	semidirect
540. #546	C₂²×C₃	semidirect
541. #546	C₂²×C₃	semidirect
542. #546	C₂²×C₃	semidirect
543. #546	C₂²×C₃	semidirect
544. #546	C₂²×C₃	semidirect
545. #546	C₂²×C₃	semidirect
546. D₄²	C₂²×C₃	semidirect
547. D₄²	C₂²×C₃	semidirect
548. #544	C₂²×C₃	semidirect
549. #543	C₂²×C₃	semidirect
550. #542	C₂²×C₃	semidirect
551. #542	C₂²×C₃	semidirect
552. #542	C₂²×C₃	semidirect
553. #542	C₂²×C₃	semidirect
554. #541	C₂²×C₃	semidirect
555. #540	C₂²×C₃	semidirect
556. #539	C₂²×C₃	semidirect
557. #539	C₂²×C₃	semidirect
558. #539	C₂²×C₃	semidirect
559. #538	C₂²×C₃	semidirect
560. #538	C₂²×C₃	semidirect
561. #538	C₂²×C₃	semidirect
562. #536	C₂²×C₃	semidirect
565. #534	C₂²×C₃	semidirect
566. #533	C₂²×C₃	semidirect
567. #533	C₂²×C₃	semidirect
568. #532	C₂²×C₃	semidirect
569. #529	C₂²×C₃	semidirect
570. #529	C₂²×C₃	semidirect
571. #529	C₂²×C₃	semidirect
572. #529	C₂²×C₃	semidirect
573. #529	C₂²×C₃	semidirect
574. #529	C₂²×C₃	semidirect
575. #529	C₂²×C₃	semidirect
576. #529	C₂²×C₃	semidirect
577. #529	C₂²×C₃	semidirect
578. #529	C₂²×C₃	semidirect
579. C₂×#126	C₂²×C₃	semidirect
580. C₂×#126	C₂²×C₃	semidirect
581. C₂×#124	C₂²×C₃	semidirect
582. C₂×#124	C₂²×C₃	semidirect
584. #525	C₂²×C₃	semidirect
585. #525	C₂²×C₃	semidirect
586. #525	C₂²×C₃	semidirect
587. #525	C₂²×C₃	semidirect
588. C₂×#123	C₂²×C₃	semidirect
589. C₂×#123	C₂²×C₃	semidirect
590. C₂×#123	C₂²×C₃	semidirect
591. C₂×#123	C₂²×C₃	semidirect
592. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
593. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
594. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
595. C₂×#121	C₂²×C₃	semidirect
596. C₂×#121	C₂²×C₃	semidirect
598. C₂×#120	C₂²×C₃	semidirect
599. #520	C₂²×C₃	semidirect
600. #520	C₂²×C₃	semidirect
601. #520	C₂²×C₃	semidirect
602. #520	C₂²×C₃	semidirect
603. #519	C₂²×C₃	semidirect
607. #518	C₂²×C₃	semidirect
608. #518	C₂²×C₃	semidirect
609. #518	C₂²×C₃	semidirect
610. #518	C₂²×C₃	semidirect
611. #518	C₂²×C₃	semidirect
612. #518	C₂²×C₃	semidirect
613. #518	C₂²×C₃	semidirect
614. C₄×#41	C₂²×C₃	semidirect
615. C₄×#41	C₂²×C₃	semidirect
616. C₄×#41	C₂²×C₃	semidirect
617. C₄×#41	C₂²×C₃	semidirect
618. C₄×#41	C₂²×C₃	semidirect
620. C₂×C₄×D₄	C₂²×C₃	semidirect
621. C₂×C₄×D₄	C₂²×C₃	semidirect
622. C₂×C₄×D₄	C₂²×C₃	semidirect
623. C₂×C₄×D₄	C₂²×C₃	semidirect
624. C₂×C₄×D₄	C₂²×C₃	semidirect
625. C₂×C₄×D₄	C₂²×C₃	semidirect
626. C₂×#117	C₂²×C₃	semidirect
627. C₂×#117	C₂²×C₃	semidirect
628. C₂×#117	C₂²×C₃	semidirect
629. C₂×#117	C₂²×C₃	semidirect
630. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
631. C₂²×C₂²⋊C₄	C₂²×C₃	semidirect
666. C₂×C₃×D₄	#41	semidirect
819. C₂×#41	C₂³×C₃	semidirect
821. C₂²×Q₈	C₂³×C₃	semidirect
841. C₂³×C₄	C₂³×C₃	semidirect
842. C₄⋊Q₈	C₂³×C₃	semidirect
843. C₄⋊Q₈	C₂³×C₃	semidirect
844. C₄⋊Q₈	C₂³×C₃	semidirect
845. C₄⋊Q₈	C₂³×C₃	semidirect
846. C₄⋊Q₈	C₂³×C₃	semidirect
852. #126	C₂³×C₃	semidirect
853. #126	C₂³×C₃	semidirect
854. #126	C₂³×C₃	semidirect
855. #126	C₂³×C₃	semidirect
856. #126	C₂³×C₃	semidirect
857. #126	C₂³×C₃	semidirect
858. #126	C₂³×C₃	semidirect
859. #126	C₂³×C₃	semidirect
860. #126	C₂³×C₃	semidirect
861. #126	C₂³×C₃	semidirect
862. #126	C₂³×C₃	semidirect
863. #126	C₂³×C₃	semidirect
864. #125	C₂³×C₃	semidirect
865. #125	C₂³×C₃	semidirect
866. #125	C₂³×C₃	semidirect
867. #125	C₂³×C₃	semidirect
868. #125	C₂³×C₃	semidirect
869. #125	C₂³×C₃	semidirect
870. #125	C₂³×C₃	semidirect
871. #125	C₂³×C₃	semidirect
872. #125	C₂³×C₃	semidirect
873. #125	C₂³×C₃	semidirect
880. #124	C₂³×C₃	semidirect
881. #124	C₂³×C₃	semidirect
882. #124	C₂³×C₃	semidirect
883. #124	C₂³×C₃	semidirect
884. #124	C₂³×C₃	semidirect
885. #124	C₂³×C₃	semidirect
898. #123	C₂³×C₃	semidirect
899. #123	C₂³×C₃	semidirect
900. #123	C₂³×C₃	semidirect
901. #123	C₂³×C₃	semidirect
902. #123	C₂³×C₃	semidirect
903. #123	C₂³×C₃	semidirect
904. #123	C₂³×C₃	semidirect
905. #123	C₂³×C₃	semidirect
906. #123	C₂³×C₃	semidirect
907. #123	C₂³×C₃	semidirect
908. #123	C₂³×C₃	semidirect
909. #123	C₂³×C₃	semidirect
910. #123	C₂³×C₃	semidirect
920. C₂²⋊Q₈	C₂³×C₃	semidirect
921. C₂²⋊Q₈	C₂³×C₃	semidirect
922. C₂²⋊Q₈	C₂³×C₃	semidirect
923. C₂²⋊Q₈	C₂³×C₃	semidirect
924. C₂²⋊Q₈	C₂³×C₃	semidirect
925. C₂²⋊Q₈	C₂³×C₃	semidirect
926. C₂²⋊Q₈	C₂³×C₃	semidirect
927. C₂²⋊Q₈	C₂³×C₃	semidirect
928. C₂²⋊Q₈	C₂³×C₃	semidirect
929. C₂²⋊Q₈	C₂³×C₃	semidirect
930. C₂²⋊Q₈	C₂³×C₃	semidirect
931. C₂²⋊Q₈	C₂³×C₃	semidirect
932. C₂²⋊Q₈	C₂³×C₃	semidirect
933. C₂²⋊Q₈	C₂³×C₃	semidirect
934. C₂²⋊Q₈	C₂³×C₃	semidirect
935. C₂²⋊Q₈	C₂³×C₃	semidirect
949. #121	C₂³×C₃	semidirect
950. #121	C₂³×C₃	semidirect
951. #121	C₂³×C₃	semidirect
952. #121	C₂³×C₃	semidirect
953. #121	C₂³×C₃	semidirect
954. #121	C₂³×C₃	semidirect
955. #121	C₂³×C₃	semidirect
964. #120	C₂³×C₃	semidirect
965. C₄×Q₈	C₂³×C₃	semidirect
966. C₄×Q₈	C₂³×C₃	semidirect
967. C₄×Q₈	C₂³×C₃	semidirect
968. C₄×Q₈	C₂³×C₃	semidirect
969. C₄×Q₈	C₂³×C₃	semidirect
970. C₄×Q₈	C₂³×C₃	semidirect
971. C₄×Q₈	C₂³×C₃	semidirect
972. C₄×Q₈	C₂³×C₃	semidirect
973. C₄×Q₈	C₂³×C₃	semidirect
974. C₄×Q₈	C₂³×C₃	semidirect
975. C₄×Q₈	C₂³×C₃	semidirect
1004. C₄×D₄	C₂³×C₃	semidirect
1005. C₄×D₄	C₂³×C₃	semidirect
1006. C₄×D₄	C₂³×C₃	semidirect
1007. C₄×D₄	C₂³×C₃	semidirect
1008. C₄×D₄	C₂³×C₃	semidirect
1009. C₄×D₄	C₂³×C₃	semidirect
1010. C₄×D₄	C₂³×C₃	semidirect
1011. C₄×D₄	C₂³×C₃	semidirect
1012. C₄×D₄	C₂³×C₃	semidirect
1013. C₄×D₄	C₂³×C₃	semidirect
1014. C₄×D₄	C₂³×C₃	semidirect
1015. C₄×D₄	C₂³×C₃	semidirect
1016. C₄×D₄	C₂³×C₃	semidirect
1017. C₄×D₄	C₂³×C₃	semidirect
1018. C₄×D₄	C₂³×C₃	semidirect
1019. C₄×D₄	C₂³×C₃	semidirect
1020. C₄×D₄	C₂³×C₃	semidirect
1021. C₄×D₄	C₂³×C₃	semidirect
1033. #117	C₂³×C₃	semidirect
1034. #117	C₂³×C₃	semidirect
1035. #117	C₂³×C₃	semidirect
1036. #117	C₂³×C₃	semidirect
1037. #117	C₂³×C₃	semidirect
1038. #117	C₂³×C₃	semidirect
1039. #117	C₂³×C₃	semidirect
1040. #117	C₂³×C₃	semidirect
1041. #117	C₂³×C₃	semidirect
1042. #117	C₂³×C₃	semidirect
1043. #117	C₂³×C₃	semidirect
1044. #117	C₂³×C₃	semidirect
1045. #117	C₂³×C₃	semidirect
1046. #117	C₂³×C₃	semidirect
1052. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1053. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1054. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1055. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1056. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1057. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1058. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1059. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1060. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1061. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1062. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1086. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1087. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1088. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1089. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1092. C₂×C₄²	C₂³×C₃	semidirect
1093. C₂×C₄²	C₂³×C₃	semidirect
1094. C₂×C₄²	C₂³×C₃	semidirect
1095. C₂×C₄²	C₂³×C₃	semidirect
1096. C₂×C₄²	C₂³×C₃	semidirect
1229. C₂×D₄	C₃×#41	semidirect
1572. C₃	#62990	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×#3521	2
C₃×#3520	2
C₃×#3514	2
C₃×#3513	2
C₃×#3510	2
C₃×#3505	2
C₃×#3501	2
C₃×#3495	2
C₃×#3494	2
C₃×#3491	2
C₃×#3490	2
C₃×#3485	2
C₃×#3484	2
C₃×#3481	2
C₃×#3475	2
C₂×C₃×#551	2
C₂×C₃×#546	2
C₃×C₄×H(5,𝔽₂)	2
C₃×#3428	2
C₂×C₃×#518	2
#62990	3

Subgroups — C3×#62990 #10681597

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62990 #10681597