Subgroups — C₃×#62821 #10681428

Order 768.

7338 conjugacy classes of subgroups.

The subgroup lattice has 1538 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3542	C₂	1	4	yes	maximal, complemented
2	C₃×#3541	C₂	1	4	yes	maximal, complemented
3	C₃×#3540	C₂	1	4	yes	maximal, complemented
4	C₃×#3539	C₂	1	4	yes	maximal, complemented
5	C₃×#3533	C₂	1	4	yes	maximal, complemented
6	C₃×#3532	C₂	1	4	yes	maximal, complemented
7	C₃×#3520	C₂	1	4	yes	maximal, complemented
8	C₃×#3519	C₂	1	4	yes	maximal, complemented
9	C₃×#3513	C₂	1	8	yes	maximal, complemented
10	C₃×#3506	C₂	1	4	yes	maximal, complemented
11	C₃×#3505	C₂	1	4	yes	maximal, complemented
12	C₃×#3495	C₂	1	2	yes	maximal, complemented
13	C₃×#3494	C₂	1	2	yes	maximal, complemented
14	C₃×#3493	C₂	1	2	yes	maximal, complemented
15	C₃×#3489	C₂	1	2	yes	maximal, complemented
16	C₃×#3488	C₂	1	2	yes	maximal, complemented
17	C₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃×#525	C₂	1	2	yes	maximal, complemented
20	C₂×C₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	#62821	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
22	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₃×#41	C₂²	1	2	yes	complemented
26	C₂⁴×C₃×C₄	C₂²	1	1	yes	characteristic, complemented
27	C₃×#563	C₂²	1	4	yes	complemented
28	C₃×#562	C₂²	1	8	yes	complemented
29	C₃×H(3,𝔽₄)	C₂²	1	4	yes	complemented
30	C₃×#560	C₂²	1	4	yes	complemented
31	C₃×#560	C₂²	1	8	yes	complemented
32	C₃×#560	C₂²	1	4	yes	complemented
33	C₃×#559	C₂²	1	4	yes	complemented
34	C₃×#559	C₂²	1	8	yes	complemented
35	C₃×#556	C₂²	1	4	yes	complemented
36	C₃×#556	C₂²	1	4	yes	complemented
37	C₃×#556	C₂²	1	4	yes	complemented
38	C₃×#555	C₂²	1	4	yes	complemented
39	C₃×#555	C₂²	1	4	yes	complemented
40	C₃×#555	C₂²	1	4	yes	complemented
41	C₃×#554	C₂²	1	4	yes	complemented
42	C₃×#554	C₂²	1	8	yes	complemented
43	C₃×#553	C₂²	1	4	yes	complemented
44	C₃×#553	C₂²	1	8	yes	complemented
45	C₃×#553	C₂²	1	4	yes	complemented
46	C₃×#553	C₂²	1	4	yes	complemented
47	C₃×#553	C₂²	1	4	yes	complemented
48	C₃×#553	C₂²	1	8	yes	complemented
49	C₃×#553	C₂²	1	8	yes	complemented
50	C₃×#553	C₂²	1	8	yes	complemented
51	C₃×#552	C₂²	1	8	yes	complemented
52	C₃×#552	C₂²	1	4	yes	complemented
53	C₃×#552	C₂²	1	4	yes	complemented
54	C₃×#552	C₂²	1	4	yes	complemented
55	C₃×#552	C₂²	1	4	yes	complemented
56	C₃×#551	C₂²	1	8	yes	complemented
57	C₃×#551	C₂²	1	4	yes	complemented
58	C₃×#551	C₂²	1	8	yes	complemented
59	C₃×#551	C₂²	1	8	yes	complemented
60	C₃×#551	C₂²	1	4	yes	complemented
61	C₃×#551	C₂²	1	8	yes	complemented
62	C₃×#550	C₂²	1	4	yes	complemented
63	C₃×#550	C₂²	1	4	yes	complemented
64	C₃×#550	C₂²	1	4	yes	complemented
65	C₃×D₄×Q₈	C₂²	1	4	yes	complemented
66	C₃×#548	C₂²	1	4	yes	complemented
67	C₃×#548	C₂²	1	4	yes	complemented
68	C₃×#548	C₂²	1	4	yes	complemented
69	C₃×#548	C₂²	1	4	yes	complemented
70	C₃×#547	C₂²	1	8	yes	complemented
71	C₃×#547	C₂²	1	4	yes	complemented
72	C₃×#547	C₂²	1	4	yes	complemented
73	C₃×#547	C₂²	1	4	yes	complemented
74	C₃×#547	C₂²	1	4	yes	complemented
75	C₃×#546	C₂²	1	8	yes	complemented
76	C₃×#546	C₂²	1	8	yes	complemented
77	C₃×#546	C₂²	1	8	yes	complemented
78	C₃×#546	C₂²	1	4	yes	complemented
79	C₃×#546	C₂²	1	8	yes	complemented
80	C₃×#546	C₂²	1	8	yes	complemented
81	C₃×#546	C₂²	1	4	yes	complemented
82	C₃×#546	C₂²	1	4	yes	complemented
83	C₃×#546	C₂²	1	4	yes	complemented
84	C₃×D₄²	C₂²	1	8	yes	complemented
85	C₃×D₄²	C₂²	1	4	yes	complemented
86	C₃×D₄²	C₂²	1	4	yes	complemented
87	C₃×#544	C₂²	1	2	yes	complemented
88	C₃×#542	C₂²	1	4	yes	complemented
89	C₃×#542	C₂²	1	4	yes	complemented
90	C₃×#542	C₂²	1	8	yes	complemented
91	C₃×#542	C₂²	1	8	yes	complemented
92	C₃×#541	C₂²	1	4	yes	complemented
93	C₃×#540	C₂²	1	4	yes	complemented
94	C₃×#540	C₂²	1	8	yes	complemented
95	C₃×#540	C₂²	1	8	yes	complemented
96	C₃×#539	C₂²	1	8	yes	complemented
97	C₃×#539	C₂²	1	8	yes	complemented
98	C₃×#539	C₂²	1	8	yes	complemented
99	C₃×#538	C₂²	1	8	yes	complemented
100	C₃×#538	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×#538	C₂²	1	8	yes	complemented
105	C₃×#537	C₂²	1	2	yes	complemented
106	C₃×#537	C₂²	1	4	yes	complemented
107	C₃×#537	C₂²	1	4	yes	complemented
108	C₃×#536	C₂²	1	2	yes	complemented
109	C₃×#536	C₂²	1	4	yes	complemented
110	C₃×#535	C₂²	1	4	yes	complemented
111	C₃×#535	C₂²	1	8	yes	complemented
112	C₃×#535	C₂²	1	2	yes	complemented
113	C₃×#535	C₂²	1	4	yes	complemented
114	C₃×#534	C₂²	1	4	yes	complemented
115	C₃×#534	C₂²	1	8	yes	complemented
116	C₃×#533	C₂²	1	4	yes	complemented
117	C₃×#532	C₂²	1	4	yes	complemented
118	C₃×#529	C₂²	1	8	yes	complemented
119	C₃×#529	C₂²	1	4	yes	complemented
120	C₃×#529	C₂²	1	4	yes	complemented
121	C₃×#525	C₂²	1	2	yes	—
122	C₃×#525	C₂²	1	2	yes	complemented
123	C₃×#525	C₂²	1	2	yes	complemented
124	C₃×#525	C₂²	1	2	yes	complemented
125	C₃×#525	C₂²	1	2	yes	complemented
126	C₃×#525	C₂²	1	4	yes	complemented
127	C₃×#525	C₂²	1	2	yes	complemented
128	C₃×#525	C₂²	1	4	yes	complemented
129	C₃×#525	C₂²	1	4	yes	complemented
130	C₃×#525	C₂²	1	4	yes	complemented
131	C₃×#525	C₂²	1	2	yes	complemented
132	C₃×#525	C₂²	1	4	yes	complemented
133	C₃×#525	C₂²	1	4	yes	complemented
134	C₃×#525	C₂²	1	2	yes	complemented
135	C₃×#525	C₂²	1	4	yes	complemented
136	C₃×#525	C₂²	1	4	yes	complemented
137	C₃×#525	C₂²	1	4	yes	complemented
138	C₃×#525	C₂²	1	4	yes	complemented
139	C₃×#525	C₂²	1	4	yes	complemented
140	C₂×C₃×#123	C₂²	1	4	yes	complemented
141	C₂×C₃×#123	C₂²	1	2	yes	complemented
142	C₂×C₃×#123	C₂²	1	4	yes	complemented
143	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
144	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
145	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
146	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
147	C₂×C₃×#121	C₂²	1	2	yes	complemented
148	C₂×C₃×#121	C₂²	1	2	yes	complemented
149	C₂×C₃×#121	C₂²	1	2	yes	complemented
150	C₂×C₃×#121	C₂²	1	4	yes	complemented
151	C₂×C₃×#120	C₂²	1	2	yes	complemented
152	C₂×C₃×#120	C₂²	1	4	yes	complemented
153	C₃×#520	C₂²	1	2	yes	complemented
154	C₃×#520	C₂²	1	2	yes	complemented
155	C₃×#520	C₂²	1	8	yes	complemented
156	C₃×#519	C₂²	1	1	yes	characteristic, complemented
157	C₃×#518	C₂²	1	1	yes	characteristic, complemented
158	C₃×#518	C₂²	1	8	yes	complemented
159	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
160	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
161	C₂×C₃×C₄×D₄	C₂²	1	4	yes	complemented
162	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₃×#117	C₂²	1	2	yes	complemented
164	#3542	C₂×C₃	1	4	yes	complemented
165	#3541	C₂×C₃	1	4	yes	complemented
166	#3540	C₂×C₃	1	4	yes	complemented
167	#3539	C₂×C₃	1	4	yes	complemented
168	#3533	C₂×C₃	1	4	yes	complemented
169	#3532	C₂×C₃	1	4	yes	complemented
170	#3520	C₂×C₃	1	4	yes	complemented
171	#3519	C₂×C₃	1	4	yes	complemented
172	#3513	C₂×C₃	1	8	yes	complemented
173	#3506	C₂×C₃	1	4	yes	complemented
174	#3505	C₂×C₃	1	4	yes	complemented
175	#3495	C₂×C₃	1	2	yes	complemented
176	#3494	C₂×C₃	1	2	yes	complemented
177	#3493	C₂×C₃	1	2	yes	complemented
178	#3489	C₂×C₃	1	2	yes	complemented
179	#3488	C₂×C₃	1	2	yes	complemented
180	#3487	C₂×C₃	1	1	yes	characteristic, complemented
181	#3485	C₂×C₃	1	1	yes	characteristic, complemented
182	C₂×#525	C₂×C₃	1	2	yes	complemented
183	C₂×#525	C₂×C₃	1	1	yes	characteristic, complemented
184	C₂⁵×C₃	C₂³	1	1	yes	characteristic
185	C₃×2₋¹⁺⁴	—	4	4	no	—
186	C₃×H(5,𝔽₂)	—	4	4	no	—
187	C₂×C₃×#41	—	4	4	no	—
188	C₂×C₃×#41	—	4	8	no	—
189	C₂×C₃×#41	C₂³	1	2	yes	—
190	C₂×C₃×#41	C₂³	1	2	yes	—
191	C₂×C₃×#41	C₂³	1	4	yes	—
192	C₂×C₃×#41	C₂³	1	4	yes	—
193	C₂×C₃×#41	C₂³	1	2	yes	—
194	C₂×C₃×#41	C₂³	1	4	yes	—
195	C₂×C₃×#41	C₂³	1	4	yes	—
196	C₂×C₃×#41	C₂³	1	2	yes	—
197	C₂×C₃×#41	C₂³	1	4	yes	—
198	C₂×C₃×#41	C₂³	1	8	yes	—
199	C₂×C₃×#41	C₂³	1	4	yes	complemented
200	C₂×C₃×#41	C₂³	1	4	yes	complemented
201	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
202	C₂²×C₃×Q₈	C₂³	1	2	yes	—
203	C₂²×C₃×Q₈	C₂³	1	4	yes	complemented
204	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
205	C₂²×C₃×D₄	C₂³	1	2	yes	—
206	C₂²×C₃×D₄	C₂³	1	4	yes	—
207	C₂²×C₃×D₄	C₂³	1	2	yes	—
208	C₂²×C₃×D₄	C₂³	1	4	yes	—
209	C₂²×C₃×D₄	C₂³	1	4	yes	—
210	C₂²×C₃×D₄	C₂³	1	4	yes	—
211	C₂²×C₃×D₄	C₂³	1	4	yes	—
212	C₂²×C₃×D₄	C₂³	1	8	yes	—
213	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
214	C₂³×C₃×C₄	—	4	4	no	—
215	C₂³×C₃×C₄	C₂³	1	2	yes	—
216	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₃×C₄	C₂³	1	2	yes	—
218	C₂³×C₃×C₄	C₂³	1	2	yes	—
219	C₂³×C₃×C₄	C₂³	1	2	yes	—
220	C₂³×C₃×C₄	C₂³	1	2	yes	—
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	2	yes	—
223	C₂³×C₃×C₄	C₂³	1	4	yes	—
224	C₂³×C₃×C₄	C₂³	1	2	yes	—
225	C₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
226	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
227	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
228	C₃×C₄⋊Q₈	C₂³	1	4	yes	complemented
229	C₃×#127	C₂³	1	4	yes	—
230	C₃×#127	C₂³	1	8	yes	—
231	C₃×#127	C₂³	1	4	yes	—
232	C₃×#127	C₂³	1	4	yes	complemented
233	C₃×#126	C₂³	1	8	yes	—
234	C₃×#126	C₂³	1	8	yes	—
235	C₃×#126	C₂³	1	8	yes	—
236	C₃×#126	C₂³	1	8	yes	—
237	C₃×#126	C₂³	1	8	yes	complemented
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	8	yes	complemented
243	C₃×#125	C₂³	1	8	yes	complemented
244	C₃×#125	C₂³	1	8	yes	complemented
245	C₃×#125	C₂³	1	8	yes	complemented
246	C₃×#125	C₂³	1	4	yes	complemented
247	C₃×#125	C₂³	1	4	yes	complemented
248	C₃×#125	C₂³	1	8	yes	complemented
249	C₃×#124	C₂³	1	8	yes	—
250	C₃×#124	C₂³	1	8	yes	—
251	C₃×#124	C₂³	1	8	yes	—
252	C₃×#124	C₂³	1	4	yes	—
253	C₃×#124	C₂³	1	8	yes	—
254	C₃×#124	C₂³	1	8	yes	—
255	C₃×#124	C₂³	1	4	yes	—
256	C₃×#124	C₂³	1	8	yes	complemented
257	C₃×#124	C₂³	1	8	yes	complemented
258	C₃×#124	C₂³	1	8	yes	complemented
259	C₃×#124	C₂³	1	4	yes	complemented
260	C₃×#124	C₂³	1	4	yes	complemented
261	C₃×#123	C₂³	1	4	yes	—
262	C₃×#123	C₂³	1	8	yes	—
263	C₃×#123	C₂³	1	4	yes	—
264	C₃×#123	C₂³	1	4	yes	—
265	C₃×#123	C₂³	1	4	yes	—
266	C₃×#123	C₂³	1	4	yes	—
267	C₃×#123	C₂³	1	8	yes	—
268	C₃×#123	C₂³	1	8	yes	—
269	C₃×#123	C₂³	1	8	yes	—
270	C₃×#123	C₂³	1	8	yes	—
271	C₃×#123	C₂³	1	4	yes	—
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	4	yes	—
277	C₃×#123	C₂³	1	4	yes	—
278	C₃×#123	C₂³	1	4	yes	—
279	C₃×#123	C₂³	1	8	yes	—
280	C₃×#123	C₂³	1	8	yes	—
281	C₃×#123	C₂³	1	8	yes	—
282	C₃×#123	C₂³	1	8	yes	complemented
283	C₃×#123	C₂³	1	8	yes	complemented
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×C₂²⋊Q₈	C₂³	1	4	yes	—
290	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
291	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
293	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
294	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
295	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
296	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
301	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
307	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
310	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
311	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
312	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
313	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
314	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
315	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
316	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
317	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
318	C₃×#121	C₂³	1	4	yes	—
319	C₃×#121	C₂³	1	8	yes	—
320	C₃×#121	C₂³	1	8	yes	—
321	C₃×#121	C₂³	1	8	yes	—
322	C₃×#121	C₂³	1	8	yes	—
323	C₃×#121	C₂³	1	8	yes	—
324	C₃×#121	C₂³	1	8	yes	—
325	C₃×#121	C₂³	1	8	yes	—
326	C₃×#121	C₂³	1	8	yes	—
327	C₃×#121	C₂³	1	8	yes	—
328	C₃×#121	C₂³	1	8	yes	—
329	C₃×#121	C₂³	1	8	yes	—
330	C₃×#121	C₂³	1	8	yes	—
331	C₃×#121	C₂³	1	2	yes	—
332	C₃×#121	C₂³	1	4	yes	—
333	C₃×#121	C₂³	1	2	yes	—
334	C₃×#121	C₂³	1	2	yes	—
335	C₃×#121	C₂³	1	4	yes	—
336	C₃×#121	C₂³	1	2	yes	—
337	C₃×#121	C₂³	1	4	yes	—
338	C₃×#121	C₂³	1	4	yes	—
339	C₃×#121	C₂³	1	4	yes	—
340	C₃×#121	C₂³	1	4	yes	—
341	C₃×#121	C₂³	1	2	yes	—
342	C₃×#121	C₂³	1	2	yes	—
343	C₃×#121	C₂³	1	4	yes	—
344	C₃×#121	C₂³	1	2	yes	—
345	C₃×#121	C₂³	1	2	yes	—
346	C₃×#121	C₂³	1	8	yes	—
347	C₃×#121	C₂³	1	8	yes	—
348	C₃×#121	C₂³	1	8	yes	—
349	C₃×#121	C₂³	1	8	yes	complemented
350	C₃×#121	C₂³	1	8	yes	complemented
351	C₃×#121	C₂³	1	4	yes	complemented
352	C₃×#121	C₂³	1	4	yes	complemented
353	C₃×#121	C₂³	1	8	yes	complemented
354	C₃×#121	C₂³	1	4	yes	complemented
355	C₃×#121	C₂³	1	4	yes	complemented
356	C₃×#121	C₂³	1	8	yes	complemented
357	C₃×#120	C₂³	1	4	yes	—
358	C₃×#120	C₂³	1	4	yes	—
359	C₃×#120	C₂³	1	4	yes	—
360	C₃×#120	C₂³	1	4	yes	—
361	C₃×#120	C₂³	1	8	yes	—
362	C₃×#120	C₂³	1	4	yes	—
363	C₃×#120	C₂³	1	4	yes	—
364	C₃×#120	C₂³	1	4	yes	—
365	C₃×#120	C₂³	1	4	yes	—
366	C₃×#120	C₂³	1	8	yes	—
367	C₃×#120	C₂³	1	4	yes	—
368	C₃×#120	C₂³	1	4	yes	—
369	C₃×#120	C₂³	1	4	yes	—
370	C₃×#120	C₂³	1	4	yes	—
371	C₃×#120	C₂³	1	8	yes	—
372	C₃×#120	C₂³	1	8	yes	—
373	C₃×#120	C₂³	1	8	yes	—
374	C₃×#120	C₂³	1	8	yes	complemented
375	C₃×C₄×Q₈	C₂³	1	8	yes	complemented
376	C₃×C₄×Q₈	C₂³	1	8	yes	complemented
377	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
378	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
379	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
380	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
381	C₃×C₄×D₄	C₂³	1	4	yes	—
382	C₃×C₄×D₄	C₂³	1	4	yes	—
383	C₃×C₄×D₄	C₂³	1	8	yes	—
384	C₃×C₄×D₄	C₂³	1	4	yes	—
385	C₃×C₄×D₄	C₂³	1	8	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	8	yes	—
391	C₃×C₄×D₄	C₂³	1	4	yes	—
392	C₃×C₄×D₄	C₂³	1	4	yes	—
393	C₃×C₄×D₄	C₂³	1	4	yes	—
394	C₃×C₄×D₄	C₂³	1	4	yes	—
395	C₃×C₄×D₄	C₂³	1	8	yes	—
396	C₃×C₄×D₄	C₂³	1	4	yes	—
397	C₃×C₄×D₄	C₂³	1	4	yes	—
398	C₃×C₄×D₄	C₂³	1	4	yes	—
399	C₃×C₄×D₄	C₂³	1	4	yes	—
400	C₃×C₄×D₄	C₂³	1	4	yes	—
401	C₃×C₄×D₄	C₂³	1	8	yes	—
402	C₃×C₄×D₄	C₂³	1	8	yes	—
403	C₃×C₄×D₄	C₂³	1	8	yes	—
404	C₃×C₄×D₄	C₂³	1	8	yes	—
405	C₃×C₄×D₄	C₂³	1	8	yes	—
406	C₃×C₄×D₄	C₂³	1	8	yes	—
407	C₃×C₄×D₄	C₂³	1	8	yes	complemented
408	C₃×C₄×D₄	C₂³	1	8	yes	complemented
409	C₃×C₄×D₄	C₂³	1	8	yes	complemented
410	C₃×C₄×D₄	C₂³	1	8	yes	complemented
411	C₃×C₄×D₄	C₂³	1	4	yes	complemented
412	C₃×C₄×D₄	C₂³	1	8	yes	complemented
413	C₃×C₄×D₄	C₂³	1	8	yes	complemented
414	C₃×C₄×D₄	C₂³	1	4	yes	complemented
415	C₃×C₄×D₄	C₂³	1	4	yes	complemented
416	C₃×C₄×D₄	C₂³	1	4	yes	complemented
417	C₃×#117	C₂³	1	2	yes	—
418	C₃×#117	C₂³	1	2	yes	—
419	C₃×#117	C₂³	1	4	yes	—
420	C₃×#117	C₂³	1	4	yes	—
421	C₃×#117	C₂³	1	2	yes	—
422	C₃×#117	C₂³	1	4	yes	—
423	C₃×#117	C₂³	1	4	yes	—
424	C₃×#117	C₂³	1	2	yes	—
425	C₃×#117	C₂³	1	4	yes	—
426	C₃×#117	C₂³	1	8	yes	—
427	C₃×#117	C₂³	1	8	yes	complemented
428	C₃×#117	C₂³	1	8	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	2	yes	—
436	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
437	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
438	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
439	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
440	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
441	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	complemented
442	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	complemented
443	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
444	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
445	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
446	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
447	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
448	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
449	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
450	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
451	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
452	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
453	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
454	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
455	C₂×C₃×C₄²	C₂³	1	2	yes	—
456	C₂×C₃×C₄²	C₂³	1	4	yes	—
457	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic, complemented
458	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic, complemented
459	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₂²×#41	C₂²×C₃	1	2	yes	complemented
461	C₂⁴×C₄	C₂²×C₃	1	1	yes	characteristic, complemented
462	#563	C₂²×C₃	1	4	yes	complemented
463	#562	C₂²×C₃	1	8	yes	complemented
464	H(3,𝔽₄)	C₂²×C₃	1	4	yes	complemented
465	#560	C₂²×C₃	1	4	yes	complemented
466	#560	C₂²×C₃	1	8	yes	complemented
467	#560	C₂²×C₃	1	4	yes	complemented
468	#559	C₂²×C₃	1	4	yes	complemented
469	#559	C₂²×C₃	1	8	yes	complemented
470	#556	C₂²×C₃	1	4	yes	complemented
471	#556	C₂²×C₃	1	4	yes	complemented
472	#556	C₂²×C₃	1	4	yes	complemented
473	#555	C₂²×C₃	1	4	yes	complemented
474	#555	C₂²×C₃	1	4	yes	complemented
475	#555	C₂²×C₃	1	4	yes	complemented
476	#554	C₂²×C₃	1	4	yes	complemented
477	#554	C₂²×C₃	1	8	yes	complemented
478	#553	C₂²×C₃	1	4	yes	complemented
479	#553	C₂²×C₃	1	8	yes	complemented
480	#553	C₂²×C₃	1	4	yes	complemented
481	#553	C₂²×C₃	1	4	yes	complemented
482	#553	C₂²×C₃	1	4	yes	complemented
483	#553	C₂²×C₃	1	8	yes	complemented
484	#553	C₂²×C₃	1	8	yes	complemented
485	#553	C₂²×C₃	1	8	yes	complemented
486	#552	C₂²×C₃	1	8	yes	complemented
487	#552	C₂²×C₃	1	4	yes	complemented
488	#552	C₂²×C₃	1	4	yes	complemented
489	#552	C₂²×C₃	1	4	yes	complemented
490	#552	C₂²×C₃	1	4	yes	complemented
491	#551	C₂²×C₃	1	8	yes	complemented
492	#551	C₂²×C₃	1	4	yes	complemented
493	#551	C₂²×C₃	1	8	yes	complemented
494	#551	C₂²×C₃	1	8	yes	complemented
495	#551	C₂²×C₃	1	4	yes	complemented
496	#551	C₂²×C₃	1	8	yes	complemented
497	#550	C₂²×C₃	1	4	yes	complemented
498	#550	C₂²×C₃	1	4	yes	complemented
499	#550	C₂²×C₃	1	4	yes	complemented
500	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
501	#548	C₂²×C₃	1	4	yes	complemented
502	#548	C₂²×C₃	1	4	yes	complemented
503	#548	C₂²×C₃	1	4	yes	complemented
504	#548	C₂²×C₃	1	4	yes	complemented
505	#547	C₂²×C₃	1	8	yes	complemented
506	#547	C₂²×C₃	1	4	yes	complemented
507	#547	C₂²×C₃	1	4	yes	complemented
508	#547	C₂²×C₃	1	4	yes	complemented
509	#547	C₂²×C₃	1	4	yes	complemented
510	#546	C₂²×C₃	1	8	yes	complemented
511	#546	C₂²×C₃	1	8	yes	complemented
512	#546	C₂²×C₃	1	8	yes	complemented
513	#546	C₂²×C₃	1	4	yes	complemented
514	#546	C₂²×C₃	1	8	yes	complemented
515	#546	C₂²×C₃	1	8	yes	complemented
516	#546	C₂²×C₃	1	4	yes	complemented
517	#546	C₂²×C₃	1	4	yes	complemented
518	#546	C₂²×C₃	1	4	yes	complemented
519	D₄²	C₂²×C₃	1	8	yes	complemented
520	D₄²	C₂²×C₃	1	4	yes	complemented
521	D₄²	C₂²×C₃	1	4	yes	complemented
522	#544	C₂²×C₃	1	2	yes	complemented
523	#542	C₂²×C₃	1	4	yes	complemented
524	#542	C₂²×C₃	1	4	yes	complemented
525	#542	C₂²×C₃	1	8	yes	complemented
526	#542	C₂²×C₃	1	8	yes	complemented
527	#541	C₂²×C₃	1	4	yes	complemented
528	#540	C₂²×C₃	1	4	yes	complemented
529	#540	C₂²×C₃	1	8	yes	complemented
530	#540	C₂²×C₃	1	8	yes	complemented
531	#539	C₂²×C₃	1	8	yes	complemented
532	#539	C₂²×C₃	1	8	yes	complemented
533	#539	C₂²×C₃	1	8	yes	complemented
534	#538	C₂²×C₃	1	8	yes	complemented
535	#538	C₂²×C₃	1	8	yes	complemented
536	#538	C₂²×C₃	1	8	yes	complemented
537	#538	C₂²×C₃	1	8	yes	complemented
538	#538	C₂²×C₃	1	8	yes	complemented
539	#538	C₂²×C₃	1	8	yes	complemented
540	#537	C₂²×C₃	1	2	yes	complemented
541	#537	C₂²×C₃	1	4	yes	complemented
542	#537	C₂²×C₃	1	4	yes	complemented
543	#536	C₂²×C₃	1	2	yes	complemented
544	#536	C₂²×C₃	1	4	yes	complemented
545	#535	C₂²×C₃	1	4	yes	complemented
546	#535	C₂²×C₃	1	8	yes	complemented
547	#535	C₂²×C₃	1	2	yes	complemented
548	#535	C₂²×C₃	1	4	yes	complemented
549	#534	C₂²×C₃	1	4	yes	complemented
550	#534	C₂²×C₃	1	8	yes	complemented
551	#533	C₂²×C₃	1	4	yes	complemented
552	#532	C₂²×C₃	1	4	yes	complemented
553	#529	C₂²×C₃	1	8	yes	complemented
554	#529	C₂²×C₃	1	4	yes	complemented
555	#529	C₂²×C₃	1	4	yes	complemented
556	#525	C₂²×C₃	1	2	yes	—
557	#525	C₂²×C₃	1	2	yes	complemented
558	#525	C₂²×C₃	1	2	yes	complemented
559	#525	C₂²×C₃	1	2	yes	complemented
560	#525	C₂²×C₃	1	2	yes	complemented
561	#525	C₂²×C₃	1	4	yes	complemented
562	#525	C₂²×C₃	1	2	yes	complemented
563	#525	C₂²×C₃	1	4	yes	complemented
564	#525	C₂²×C₃	1	4	yes	complemented
565	#525	C₂²×C₃	1	4	yes	complemented
566	#525	C₂²×C₃	1	2	yes	complemented
567	#525	C₂²×C₃	1	4	yes	complemented
568	#525	C₂²×C₃	1	4	yes	complemented
569	#525	C₂²×C₃	1	2	yes	complemented
570	#525	C₂²×C₃	1	4	yes	complemented
571	#525	C₂²×C₃	1	4	yes	complemented
572	#525	C₂²×C₃	1	4	yes	complemented
573	#525	C₂²×C₃	1	4	yes	complemented
574	#525	C₂²×C₃	1	4	yes	complemented
575	C₂×#123	C₂²×C₃	1	4	yes	complemented
576	C₂×#123	C₂²×C₃	1	2	yes	complemented
577	C₂×#123	C₂²×C₃	1	4	yes	complemented
578	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
579	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
580	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
581	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
582	C₂×#121	C₂²×C₃	1	2	yes	complemented
583	C₂×#121	C₂²×C₃	1	2	yes	complemented
584	C₂×#121	C₂²×C₃	1	2	yes	complemented
585	C₂×#121	C₂²×C₃	1	4	yes	complemented
586	C₂×#120	C₂²×C₃	1	2	yes	complemented
587	C₂×#120	C₂²×C₃	1	4	yes	complemented
588	#520	C₂²×C₃	1	2	yes	complemented
589	#520	C₂²×C₃	1	2	yes	complemented
590	#520	C₂²×C₃	1	8	yes	complemented
591	#519	C₂²×C₃	1	1	yes	characteristic, complemented
592	#518	C₂²×C₃	1	1	yes	characteristic, complemented
593	#518	C₂²×C₃	1	8	yes	complemented
594	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
595	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
596	C₂×C₄×D₄	C₂²×C₃	1	4	yes	complemented
597	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
598	C₂×#117	C₂²×C₃	1	2	yes	complemented
599	C₂⁴×C₃	—	4	4	no	—
600	C₂⁴×C₃	—	4	2	no	—
601	C₂⁴×C₃	C₂⁴	1	2	yes	—
602	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
603	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
604	C₂⁴×C₃	C₂⁴	1	2	yes	—
605	C₂⁴×C₃	C₂⁴	1	2	yes	—
606	C₂⁴×C₃	C₂⁴	1	4	yes	—
607	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
608	C₂⁴×C₃	C₂⁴	1	4	yes	—
609	C₃×#41	—	2	8	no	—
610	C₃×#41	—	2	8	no	—
611	C₃×#41	—	4	8	no	—
612	C₃×#41	—	4	8	no	—
613	C₃×#41	—	4	16	no	—
614	C₃×#41	—	4	8	no	—
615	C₃×#41	—	4	8	no	—
616	C₃×#41	—	4	8	no	—
617	C₃×#41	—	4	4	no	—
618	C₃×#41	—	4	4	no	—
619	C₃×#41	—	4	8	no	—
620	C₃×#41	—	4	8	no	—
621	C₂×C₃×Q₈	—	2	4	no	—
622	C₂×C₃×Q₈	—	4	4	no	—
623	C₂×C₃×Q₈	—	4	8	no	—
624	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
625	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
626	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
627	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
628	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
629	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
630	C₂×C₃×D₄	—	2	4	no	—
631	C₂×C₃×D₄	—	4	4	no	—
632	C₂×C₃×D₄	—	4	8	no	—
633	C₂×C₃×D₄	—	4	8	no	—
634	C₂×C₃×D₄	—	4	4	no	—
635	C₂×C₃×D₄	—	4	16	no	—
636	C₂×C₃×D₄	—	4	8	no	—
637	C₂×C₃×D₄	—	4	8	no	—
638	C₂×C₃×D₄	—	4	8	no	—
639	C₂×C₃×D₄	—	4	8	no	—
640	C₂×C₃×D₄	C₂⁴	1	4	yes	—
641	C₂×C₃×D₄	C₂⁴	1	8	yes	—
642	C₂×C₃×D₄	C₂⁴	1	4	yes	—
643	C₂×C₃×D₄	C₂⁴	1	4	yes	—
644	C₂×C₃×D₄	C₂⁴	1	4	yes	—
645	C₂×C₃×D₄	C₂⁴	1	2	yes	—
646	C₂×C₃×D₄	C₂⁴	1	4	yes	—
647	C₂×C₃×D₄	C₂⁴	1	2	yes	—
648	C₂×C₃×D₄	C₂⁴	1	4	yes	—
649	C₂×C₃×D₄	C₂⁴	1	4	yes	—
650	C₂×C₃×D₄	C₂⁴	1	4	yes	—
651	C₂×C₃×D₄	C₂⁴	1	8	yes	—
652	C₂×C₃×D₄	C₂⁴	1	4	yes	—
653	C₂×C₃×D₄	C₂⁴	1	4	yes	—
654	C₂×C₃×D₄	C₂⁴	1	4	yes	—
655	C₂×C₃×D₄	C₂⁴	1	8	yes	—
656	C₂×C₃×D₄	C₂⁴	1	8	yes	—
657	C₂×C₃×D₄	C₂⁴	1	8	yes	—
658	C₂×C₃×D₄	C₂⁴	1	4	yes	—
659	C₂×C₃×D₄	C₂⁴	1	4	yes	—
660	C₂×C₃×D₄	C₂⁴	1	4	yes	—
661	C₂×C₃×D₄	C₂⁴	1	4	yes	—
662	C₂×C₃×D₄	C₂⁴	1	4	yes	—
663	C₂×C₃×D₄	C₂⁴	1	8	yes	—
664	C₂×C₃×D₄	C₂⁴	1	4	yes	—
665	C₂²×C₃×C₄	—	2	4	no	—
666	C₂²×C₃×C₄	—	2	8	no	—
667	C₂²×C₃×C₄	—	4	4	no	—
668	C₂²×C₃×C₄	—	4	4	no	—
669	C₂²×C₃×C₄	—	4	4	no	—
670	C₂²×C₃×C₄	—	4	4	no	—
671	C₂²×C₃×C₄	—	4	8	no	—
672	C₂²×C₃×C₄	—	4	4	no	—
673	C₂²×C₃×C₄	—	4	2	no	—
674	C₂²×C₃×C₄	—	4	4	no	—
675	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
676	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
677	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
678	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
679	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
680	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
681	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
682	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
683	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
684	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
685	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
686	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
687	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
688	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
689	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
690	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
691	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
692	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
693	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
694	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
695	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
696	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
697	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
698	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
699	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
700	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
701	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
702	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
703	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
704	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
705	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
706	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
707	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
708	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
710	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
714	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
715	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
716	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
720	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
721	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
723	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
725	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
726	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
727	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
728	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
729	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
730	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
731	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
732	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
733	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
734	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
735	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
740	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
741	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
742	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
751	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
752	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
755	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
758	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
759	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
762	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
763	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
764	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
767	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
768	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₃×C₄²	C₂⁴	1	4	yes	—
770	C₃×C₄²	C₂⁴	1	8	yes	—
771	C₃×C₄²	C₂⁴	1	4	yes	—
772	C₃×C₄²	C₂⁴	1	4	yes	—
773	C₃×C₄²	C₂⁴	1	4	yes	—
774	C₃×C₄²	C₂⁴	1	4	yes	—
775	C₃×C₄²	C₂⁴	1	4	yes	—
776	C₃×C₄²	C₂⁴	1	8	yes	—
777	C₃×C₄²	C₂⁴	1	8	yes	—
778	C₂⁵	C₂³×C₃	1	1	yes	characteristic
779	2₋¹⁺⁴	—	4	4	no	—
780	H(5,𝔽₂)	—	4	4	no	—
781	C₂×#41	—	4	4	no	—
782	C₂×#41	—	4	8	no	—
783	C₂×#41	C₂³×C₃	1	2	yes	—
784	C₂×#41	C₂³×C₃	1	2	yes	—
785	C₂×#41	C₂³×C₃	1	8	yes	—
786	C₂×#41	C₂³×C₃	1	4	yes	—
787	C₂×#41	C₂³×C₃	1	4	yes	—
788	C₂×#41	C₂³×C₃	1	2	yes	—
789	C₂×#41	C₂³×C₃	1	4	yes	—
790	C₂×#41	C₂³×C₃	1	4	yes	—
791	C₂×#41	C₂³×C₃	1	2	yes	—
792	C₂×#41	C₂³×C₃	1	4	yes	—
793	C₂×#41	C₂³×C₃	1	4	yes	complemented
794	C₂×#41	C₂³×C₃	1	4	yes	complemented
795	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
796	C₂²×Q₈	C₂³×C₃	1	2	yes	—
797	C₂²×Q₈	C₂³×C₃	1	4	yes	complemented
798	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
799	C₂²×D₄	C₂³×C₃	1	4	yes	—
800	C₂²×D₄	C₂³×C₃	1	4	yes	—
801	C₂²×D₄	C₂³×C₃	1	4	yes	—
802	C₂²×D₄	C₂³×C₃	1	8	yes	—
803	C₂²×D₄	C₂³×C₃	1	2	yes	—
804	C₂²×D₄	C₂³×C₃	1	4	yes	—
805	C₂²×D₄	C₂³×C₃	1	2	yes	—
806	C₂²×D₄	C₂³×C₃	1	4	yes	—
807	C₂²×D₄	C₂³×C₃	1	4	yes	complemented
808	C₂³×C₄	—	4	4	no	—
809	C₂³×C₄	C₂³×C₃	1	2	yes	—
810	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
811	C₂³×C₄	C₂³×C₃	1	2	yes	—
812	C₂³×C₄	C₂³×C₃	1	4	yes	—
813	C₂³×C₄	C₂³×C₃	1	2	yes	—
814	C₂³×C₄	C₂³×C₃	1	2	yes	—
815	C₂³×C₄	C₂³×C₃	1	2	yes	—
816	C₂³×C₄	C₂³×C₃	1	2	yes	—
817	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
818	C₂³×C₄	C₂³×C₃	1	2	yes	—
819	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
820	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
821	C₄⋊Q₈	C₂³×C₃	1	4	yes	complemented
822	C₄⋊Q₈	C₂³×C₃	1	8	yes	complemented
823	#127	C₂³×C₃	1	4	yes	—
824	#127	C₂³×C₃	1	8	yes	—
825	#127	C₂³×C₃	1	4	yes	—
826	#127	C₂³×C₃	1	4	yes	complemented
827	#126	C₂³×C₃	1	8	yes	—
828	#126	C₂³×C₃	1	8	yes	—
829	#126	C₂³×C₃	1	8	yes	—
830	#126	C₂³×C₃	1	8	yes	—
831	#126	C₂³×C₃	1	8	yes	complemented
832	#126	C₂³×C₃	1	8	yes	complemented
833	#126	C₂³×C₃	1	8	yes	complemented
834	#126	C₂³×C₃	1	8	yes	complemented
835	#126	C₂³×C₃	1	8	yes	complemented
836	#126	C₂³×C₃	1	8	yes	complemented
837	#125	C₂³×C₃	1	8	yes	complemented
838	#125	C₂³×C₃	1	4	yes	complemented
839	#125	C₂³×C₃	1	4	yes	complemented
840	#125	C₂³×C₃	1	8	yes	complemented
841	#125	C₂³×C₃	1	8	yes	complemented
842	#125	C₂³×C₃	1	8	yes	complemented
843	#124	C₂³×C₃	1	4	yes	—
844	#124	C₂³×C₃	1	8	yes	—
845	#124	C₂³×C₃	1	8	yes	—
846	#124	C₂³×C₃	1	4	yes	—
847	#124	C₂³×C₃	1	8	yes	—
848	#124	C₂³×C₃	1	8	yes	—
849	#124	C₂³×C₃	1	8	yes	—
850	#124	C₂³×C₃	1	4	yes	complemented
851	#124	C₂³×C₃	1	4	yes	complemented
852	#124	C₂³×C₃	1	8	yes	complemented
853	#124	C₂³×C₃	1	8	yes	complemented
854	#124	C₂³×C₃	1	8	yes	complemented
855	#123	C₂³×C₃	1	4	yes	—
856	#123	C₂³×C₃	1	4	yes	—
857	#123	C₂³×C₃	1	4	yes	—
858	#123	C₂³×C₃	1	4	yes	—
859	#123	C₂³×C₃	1	8	yes	—
860	#123	C₂³×C₃	1	4	yes	—
861	#123	C₂³×C₃	1	4	yes	—
862	#123	C₂³×C₃	1	4	yes	—
863	#123	C₂³×C₃	1	4	yes	—
864	#123	C₂³×C₃	1	4	yes	—
865	#123	C₂³×C₃	1	4	yes	—
866	#123	C₂³×C₃	1	8	yes	—
867	#123	C₂³×C₃	1	8	yes	—
868	#123	C₂³×C₃	1	8	yes	—
869	#123	C₂³×C₃	1	4	yes	—
870	#123	C₂³×C₃	1	8	yes	—
871	#123	C₂³×C₃	1	4	yes	—
872	#123	C₂³×C₃	1	8	yes	—
873	#123	C₂³×C₃	1	8	yes	—
874	#123	C₂³×C₃	1	8	yes	—
875	#123	C₂³×C₃	1	8	yes	—
876	#123	C₂³×C₃	1	8	yes	complemented
877	#123	C₂³×C₃	1	8	yes	complemented
878	#123	C₂³×C₃	1	8	yes	complemented
879	#123	C₂³×C₃	1	8	yes	complemented
880	#123	C₂³×C₃	1	8	yes	complemented
881	#123	C₂³×C₃	1	8	yes	complemented
882	#123	C₂³×C₃	1	8	yes	complemented
883	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
884	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
885	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
886	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
887	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
888	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
889	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
890	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
891	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
892	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
893	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
894	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
895	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
896	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
897	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
898	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
899	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
900	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
901	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
902	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
903	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
904	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
905	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
906	C₂²⋊Q₈	C₂³×C₃	1	4	yes	complemented
907	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
908	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
909	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
910	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
911	C₂²⋊Q₈	C₂³×C₃	1	8	yes	complemented
912	#121	C₂³×C₃	1	2	yes	—
913	#121	C₂³×C₃	1	4	yes	—
914	#121	C₂³×C₃	1	2	yes	—
915	#121	C₂³×C₃	1	2	yes	—
916	#121	C₂³×C₃	1	4	yes	—
917	#121	C₂³×C₃	1	2	yes	—
918	#121	C₂³×C₃	1	4	yes	—
919	#121	C₂³×C₃	1	4	yes	—
920	#121	C₂³×C₃	1	4	yes	—
921	#121	C₂³×C₃	1	4	yes	—
922	#121	C₂³×C₃	1	2	yes	—
923	#121	C₂³×C₃	1	2	yes	—
924	#121	C₂³×C₃	1	4	yes	—
925	#121	C₂³×C₃	1	2	yes	—
926	#121	C₂³×C₃	1	2	yes	—
927	#121	C₂³×C₃	1	4	yes	—
928	#121	C₂³×C₃	1	8	yes	—
929	#121	C₂³×C₃	1	8	yes	—
930	#121	C₂³×C₃	1	8	yes	—
931	#121	C₂³×C₃	1	8	yes	—
932	#121	C₂³×C₃	1	8	yes	—
933	#121	C₂³×C₃	1	8	yes	—
934	#121	C₂³×C₃	1	8	yes	—
935	#121	C₂³×C₃	1	8	yes	—
936	#121	C₂³×C₃	1	8	yes	—
937	#121	C₂³×C₃	1	8	yes	—
938	#121	C₂³×C₃	1	8	yes	—
939	#121	C₂³×C₃	1	8	yes	—
940	#121	C₂³×C₃	1	8	yes	—
941	#121	C₂³×C₃	1	8	yes	—
942	#121	C₂³×C₃	1	8	yes	—
943	#121	C₂³×C₃	1	4	yes	complemented
944	#121	C₂³×C₃	1	4	yes	complemented
945	#121	C₂³×C₃	1	8	yes	complemented
946	#121	C₂³×C₃	1	4	yes	complemented
947	#121	C₂³×C₃	1	4	yes	complemented
948	#121	C₂³×C₃	1	8	yes	complemented
949	#121	C₂³×C₃	1	8	yes	complemented
950	#121	C₂³×C₃	1	8	yes	complemented
951	#120	C₂³×C₃	1	4	yes	—
952	#120	C₂³×C₃	1	4	yes	—
953	#120	C₂³×C₃	1	4	yes	—
954	#120	C₂³×C₃	1	8	yes	—
955	#120	C₂³×C₃	1	4	yes	—
956	#120	C₂³×C₃	1	4	yes	—
957	#120	C₂³×C₃	1	4	yes	—
958	#120	C₂³×C₃	1	4	yes	—
959	#120	C₂³×C₃	1	4	yes	—
960	#120	C₂³×C₃	1	4	yes	—
961	#120	C₂³×C₃	1	4	yes	—
962	#120	C₂³×C₃	1	8	yes	—
963	#120	C₂³×C₃	1	8	yes	—
964	#120	C₂³×C₃	1	8	yes	—
965	#120	C₂³×C₃	1	4	yes	—
966	#120	C₂³×C₃	1	8	yes	—
967	#120	C₂³×C₃	1	4	yes	—
968	#120	C₂³×C₃	1	8	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	4	yes	complemented
972	C₄×Q₈	C₂³×C₃	1	8	yes	complemented
973	C₄×Q₈	C₂³×C₃	1	4	yes	complemented
974	C₄×Q₈	C₂³×C₃	1	8	yes	complemented
975	C₄×D₄	C₂³×C₃	1	4	yes	—
976	C₄×D₄	C₂³×C₃	1	8	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	8	yes	—
982	C₄×D₄	C₂³×C₃	1	4	yes	—
983	C₄×D₄	C₂³×C₃	1	4	yes	—
984	C₄×D₄	C₂³×C₃	1	4	yes	—
985	C₄×D₄	C₂³×C₃	1	4	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	4	yes	—
991	C₄×D₄	C₂³×C₃	1	4	yes	—
992	C₄×D₄	C₂³×C₃	1	8	yes	—
993	C₄×D₄	C₂³×C₃	1	4	yes	—
994	C₄×D₄	C₂³×C₃	1	4	yes	—
995	C₄×D₄	C₂³×C₃	1	8	yes	—
996	C₄×D₄	C₂³×C₃	1	8	yes	—
997	C₄×D₄	C₂³×C₃	1	8	yes	—
998	C₄×D₄	C₂³×C₃	1	8	yes	—
999	C₄×D₄	C₂³×C₃	1	8	yes	—
1000	C₄×D₄	C₂³×C₃	1	8	yes	—
1001	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1002	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1003	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1004	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1005	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1006	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1007	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1008	C₄×D₄	C₂³×C₃	1	8	yes	complemented
1009	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1010	C₄×D₄	C₂³×C₃	1	4	yes	complemented
1011	#117	C₂³×C₃	1	2	yes	—
1012	#117	C₂³×C₃	1	2	yes	—
1013	#117	C₂³×C₃	1	4	yes	—
1014	#117	C₂³×C₃	1	4	yes	—
1015	#117	C₂³×C₃	1	2	yes	—
1016	#117	C₂³×C₃	1	4	yes	—
1017	#117	C₂³×C₃	1	4	yes	—
1018	#117	C₂³×C₃	1	2	yes	—
1019	#117	C₂³×C₃	1	4	yes	—
1020	#117	C₂³×C₃	1	8	yes	—
1021	#117	C₂³×C₃	1	8	yes	complemented
1022	#117	C₂³×C₃	1	8	yes	complemented
1023	#117	C₂³×C₃	1	4	yes	complemented
1024	#117	C₂³×C₃	1	4	yes	complemented
1025	#117	C₂³×C₃	1	8	yes	complemented
1026	#117	C₂³×C₃	1	8	yes	complemented
1027	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1028	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1029	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
1030	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
1033	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1034	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	complemented
1035	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	complemented
1036	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	complemented
1037	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
1038	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1039	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1040	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
1047	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
1048	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	complemented
1049	C₂×C₄²	C₂³×C₃	1	2	yes	—
1050	C₂×C₄²	C₂³×C₃	1	4	yes	—
1051	C₂³×C₃	—	2	4	no	—
1052	C₂³×C₃	—	2	2	no	—
1053	C₂³×C₃	—	2	4	no	—
1054	C₂³×C₃	—	2	4	no	—
1055	C₂³×C₃	—	2	4	no	—
1056	C₂³×C₃	—	2	4	no	—
1057	C₂³×C₃	—	2	8	no	—
1058	C₂³×C₃	—	4	1	no	—
1059	C₂³×C₃	—	4	2	no	—
1060	C₂³×C₃	—	4	1	no	—
1061	C₂³×C₃	—	4	2	no	—
1062	C₂³×C₃	—	4	2	no	—
1063	C₂³×C₃	—	4	2	no	—
1064	C₂³×C₃	—	4	2	no	—
1065	C₂³×C₃	—	4	4	no	—
1066	C₂³×C₃	—	4	4	no	—
1067	C₂³×C₃	—	4	4	no	—
1068	C₂³×C₃	—	4	4	no	—
1069	C₂³×C₃	—	4	8	no	—
1070	C₂³×C₃	—	4	16	no	—
1071	C₂³×C₃	C₂⁵	1	2	yes	—
1072	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1073	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1074	C₂³×C₃	C₂⁵	1	4	yes	—
1075	C₂³×C₃	C₂⁵	1	4	yes	—
1076	C₂³×C₃	C₂⁵	1	4	yes	—
1077	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1078	C₂³×C₃	C₂⁵	1	2	yes	—
1079	C₃×Q₈	—	2	8	no	—
1080	C₃×Q₈	—	2	4	no	—
1081	C₃×Q₈	—	2	4	no	—
1082	C₃×Q₈	—	4	4	no	—
1083	C₃×Q₈	—	4	4	no	—
1084	C₃×Q₈	—	4	8	no	—
1085	C₃×D₄	—	2	8	no	—
1086	C₃×D₄	—	2	8	no	—
1087	C₃×D₄	—	2	8	no	—
1088	C₃×D₄	—	2	16	no	—
1089	C₃×D₄	—	2	8	no	—
1090	C₃×D₄	—	2	8	no	—
1091	C₃×D₄	—	2	4	no	—
1092	C₃×D₄	—	2	4	no	—
1093	C₃×D₄	—	4	8	no	—
1094	C₃×D₄	—	4	4	no	—
1095	C₃×D₄	—	4	4	no	—
1096	C₃×D₄	—	4	4	no	—
1097	C₃×D₄	—	4	4	no	—
1098	C₃×D₄	—	4	4	no	—
1099	C₃×D₄	—	4	8	no	—
1100	C₃×D₄	—	4	8	no	—
1101	C₃×D₄	—	4	8	no	—
1102	C₃×D₄	—	4	4	no	—
1103	C₃×D₄	—	4	4	no	—
1104	C₃×D₄	—	4	4	no	—
1105	C₃×D₄	—	4	4	no	—
1106	C₃×D₄	—	4	4	no	—
1107	C₃×D₄	—	4	4	no	—
1108	C₃×D₄	—	4	8	no	—
1109	C₃×D₄	—	4	4	no	—
1110	C₂×C₃×C₄	—	2	2	no	—
1111	C₂×C₃×C₄	—	2	4	no	—
1112	C₂×C₃×C₄	—	2	4	no	—
1113	C₂×C₃×C₄	—	2	8	no	—
1114	C₂×C₃×C₄	—	2	4	no	—
1115	C₂×C₃×C₄	—	2	4	no	—
1116	C₂×C₃×C₄	—	2	4	no	—
1117	C₂×C₃×C₄	—	2	4	no	—
1118	C₂×C₃×C₄	—	2	4	no	—
1119	C₂×C₃×C₄	—	2	4	no	—
1120	C₂×C₃×C₄	—	2	8	no	—
1121	C₂×C₃×C₄	—	2	8	no	—
1122	C₂×C₃×C₄	—	4	2	no	—
1123	C₂×C₃×C₄	—	4	2	no	—
1124	C₂×C₃×C₄	—	4	1	no	—
1125	C₂×C₃×C₄	—	4	2	no	—
1126	C₂×C₃×C₄	—	4	2	no	—
1127	C₂×C₃×C₄	—	4	2	no	—
1128	C₂×C₃×C₄	—	4	1	no	—
1129	C₂×C₃×C₄	—	4	4	no	—
1130	C₂×C₃×C₄	—	4	4	no	—
1131	C₂×C₃×C₄	—	4	4	no	—
1132	C₂×C₃×C₄	—	4	8	no	—
1133	C₂×C₃×C₄	—	4	8	no	—
1134	C₂×C₃×C₄	—	4	4	no	—
1135	C₂×C₃×C₄	—	4	4	no	—
1136	C₂×C₃×C₄	—	4	4	no	—
1137	C₂×C₃×C₄	—	4	8	no	—
1138	C₂×C₃×C₄	—	4	8	no	—
1139	C₂×C₃×C₄	—	4	8	no	—
1140	C₂×C₃×C₄	H(5,𝔽₂)	1	4	yes	—
1141	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1142	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1143	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1144	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1145	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1146	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1147	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1148	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1149	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1150	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1151	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1152	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1153	C₂⁴	—	4	2	no	—
1154	C₂⁴	—	4	4	no	—
1155	C₂⁴	C₂⁴×C₃	1	2	yes	—
1156	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1157	C₂⁴	C₂⁴×C₃	1	2	yes	—
1158	C₂⁴	C₂⁴×C₃	1	4	yes	—
1159	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂⁴	C₂⁴×C₃	1	2	yes	—
1161	C₂⁴	C₂⁴×C₃	1	4	yes	—
1162	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1163	#41	—	2	8	no	—
1164	#41	—	2	8	no	—
1165	#41	—	4	8	no	—
1166	#41	—	4	8	no	—
1167	#41	—	4	8	no	—
1168	#41	—	4	16	no	—
1169	#41	—	4	8	no	—
1170	#41	—	4	8	no	—
1171	#41	—	4	4	no	—
1172	#41	—	4	4	no	—
1173	#41	—	4	8	no	—
1174	#41	—	4	8	no	—
1175	C₂×Q₈	—	2	4	no	—
1176	C₂×Q₈	—	4	4	no	—
1177	C₂×Q₈	—	4	8	no	—
1178	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1179	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1180	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1181	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1182	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1183	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1184	C₂×D₄	—	2	4	no	—
1185	C₂×D₄	—	4	4	no	—
1186	C₂×D₄	—	4	8	no	—
1187	C₂×D₄	—	4	4	no	—
1188	C₂×D₄	—	4	8	no	—
1189	C₂×D₄	—	4	8	no	—
1190	C₂×D₄	—	4	8	no	—
1191	C₂×D₄	—	4	16	no	—
1192	C₂×D₄	—	4	8	no	—
1193	C₂×D₄	—	4	8	no	—
1194	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1195	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1196	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1197	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1198	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1199	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1200	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1201	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1202	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1203	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1204	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1205	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1206	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1207	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1208	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1209	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1210	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1211	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1212	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1213	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1214	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1215	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1216	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1217	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1218	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1219	C₂²×C₄	—	2	4	no	—
1220	C₂²×C₄	—	2	8	no	—
1221	C₂²×C₄	—	4	4	no	—
1222	C₂²×C₄	—	4	4	no	—
1223	C₂²×C₄	—	4	4	no	—
1224	C₂²×C₄	—	4	4	no	—
1225	C₂²×C₄	—	4	8	no	—
1226	C₂²×C₄	—	4	4	no	—
1227	C₂²×C₄	—	4	2	no	—
1228	C₂²×C₄	—	4	4	no	—
1229	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1230	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1232	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1233	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1234	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1235	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1236	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1237	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1238	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1239	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1240	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1241	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1242	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1243	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1244	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1245	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1246	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1247	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1248	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1249	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1250	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1251	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1252	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1253	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1254	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1256	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1257	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1258	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1260	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1261	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1262	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1263	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1264	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1265	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1266	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1267	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1268	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1269	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1270	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1271	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1272	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1273	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1274	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1275	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1276	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1277	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1278	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1279	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1280	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1281	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1282	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1283	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1284	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1285	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1286	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1287	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1288	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1289	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1290	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1291	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1292	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1293	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1294	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1295	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1296	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1297	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1298	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1299	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1300	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1301	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1302	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1303	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1304	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1305	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1306	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1307	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1308	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1309	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1310	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1311	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1312	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1313	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1314	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1315	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1316	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1317	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1318	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1319	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1320	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1321	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1322	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1323	C₄²	C₂⁴×C₃	1	4	yes	—
1324	C₄²	C₂⁴×C₃	1	8	yes	—
1325	C₄²	C₂⁴×C₃	1	4	yes	—
1326	C₄²	C₂⁴×C₃	1	4	yes	—
1327	C₄²	C₂⁴×C₃	1	4	yes	—
1328	C₄²	C₂⁴×C₃	1	4	yes	—
1329	C₄²	C₂⁴×C₃	1	4	yes	—
1330	C₄²	C₂⁴×C₃	1	8	yes	—
1331	C₄²	C₂⁴×C₃	1	8	yes	—
1332	C₂²×C₃	—	2	2	no	—
1333	C₂²×C₃	—	2	2	no	—
1334	C₂²×C₃	—	2	2	no	—
1335	C₂²×C₃	—	2	1	no	—
1336	C₂²×C₃	—	2	2	no	—
1337	C₂²×C₃	—	2	1	no	—
1338	C₂²×C₃	—	2	4	no	—
1339	C₂²×C₃	—	2	4	no	—
1340	C₂²×C₃	—	2	4	no	—
1341	C₂²×C₃	—	2	4	no	—
1342	C₂²×C₃	—	2	4	no	—
1343	C₂²×C₃	—	2	8	no	—
1344	C₂²×C₃	—	2	4	no	—
1345	C₂²×C₃	—	2	4	no	—
1346	C₂²×C₃	—	2	2	no	—
1347	C₂²×C₃	—	2	2	no	—
1348	C₂²×C₃	—	2	2	no	—
1349	C₂²×C₃	—	2	2	no	—
1350	C₂²×C₃	—	4	8	no	—
1351	C₂²×C₃	—	4	4	no	—
1352	C₂²×C₃	—	4	4	no	—
1353	C₂²×C₃	—	4	8	no	—
1354	C₂²×C₃	—	4	4	no	—
1355	C₂²×C₃	—	8	4	no	—
1356	C₂²×C₃	—	8	8	no	—
1357	C₂²×C₃	—	16	4	no	—
1358	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1359	C₂²×C₃	#585	1	4	yes	—
1360	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1361	C₃×C₄	—	2	2	no	—
1362	C₃×C₄	—	2	2	no	—
1363	C₃×C₄	—	2	2	no	—
1364	C₃×C₄	—	2	4	no	—
1365	C₃×C₄	—	2	4	no	—
1366	C₃×C₄	—	2	4	no	—
1367	C₃×C₄	—	2	4	no	—
1368	C₃×C₄	—	2	4	no	—
1369	C₃×C₄	—	2	4	no	—
1370	C₃×C₄	—	2	8	no	—
1371	C₃×C₄	—	2	4	no	—
1372	C₃×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1373	C₂³	—	2	4	no	—
1374	C₂³	—	2	2	no	—
1375	C₂³	—	2	4	no	—
1376	C₂³	—	2	4	no	—
1377	C₂³	—	2	4	no	—
1378	C₂³	—	2	4	no	—
1379	C₂³	—	2	8	no	—
1380	C₂³	—	4	1	no	—
1381	C₂³	—	4	2	no	—
1382	C₂³	—	4	1	no	—
1383	C₂³	—	4	2	no	—
1384	C₂³	—	4	2	no	—
1385	C₂³	—	4	2	no	—
1386	C₂³	—	4	2	no	—
1387	C₂³	—	4	4	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	4	8	no	—
1392	C₂³	—	4	16	no	—
1393	C₂³	C₂⁵×C₃	1	2	yes	—
1394	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1395	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1396	C₂³	C₂⁵×C₃	1	4	yes	—
1397	C₂³	C₂⁵×C₃	1	4	yes	—
1398	C₂³	C₂⁵×C₃	1	4	yes	—
1399	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1400	C₂³	C₂⁵×C₃	1	2	yes	—
1401	Q₈	—	2	8	no	—
1402	Q₈	—	2	4	no	—
1403	Q₈	—	2	4	no	—
1404	Q₈	—	4	4	no	—
1405	Q₈	—	4	4	no	—
1406	Q₈	—	4	8	no	—
1407	D₄	—	2	8	no	—
1408	D₄	—	2	8	no	—
1409	D₄	—	2	8	no	—
1410	D₄	—	2	16	no	—
1411	D₄	—	2	8	no	—
1412	D₄	—	2	8	no	—
1413	D₄	—	2	4	no	—
1414	D₄	—	2	4	no	—
1415	D₄	—	4	8	no	—
1416	D₄	—	4	4	no	—
1417	D₄	—	4	4	no	—
1418	D₄	—	4	4	no	—
1419	D₄	—	4	4	no	—
1420	D₄	—	4	4	no	—
1421	D₄	—	4	4	no	—
1422	D₄	—	4	4	no	—
1423	D₄	—	4	4	no	—
1424	D₄	—	4	4	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	4	8	no	—
1427	D₄	—	4	8	no	—
1428	D₄	—	4	8	no	—
1429	D₄	—	4	4	no	—
1430	D₄	—	4	4	no	—
1431	D₄	—	4	8	no	—
1432	C₂×C₄	—	2	2	no	—
1433	C₂×C₄	—	2	4	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	8	no	—
1436	C₂×C₄	—	2	4	no	—
1437	C₂×C₄	—	2	4	no	—
1438	C₂×C₄	—	2	4	no	—
1439	C₂×C₄	—	2	4	no	—
1440	C₂×C₄	—	2	4	no	—
1441	C₂×C₄	—	2	4	no	—
1442	C₂×C₄	—	2	8	no	—
1443	C₂×C₄	—	2	8	no	—
1444	C₂×C₄	—	4	2	no	—
1445	C₂×C₄	—	4	2	no	—
1446	C₂×C₄	—	4	1	no	—
1447	C₂×C₄	—	4	2	no	—
1448	C₂×C₄	—	4	2	no	—
1449	C₂×C₄	—	4	2	no	—
1450	C₂×C₄	—	4	1	no	—
1451	C₂×C₄	—	4	4	no	—
1452	C₂×C₄	—	4	4	no	—
1453	C₂×C₄	—	4	4	no	—
1454	C₂×C₄	—	4	8	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	8	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	8	no	—
1460	C₂×C₄	—	4	8	no	—
1461	C₂×C₄	—	4	8	no	—
1462	C₂×C₄	C₃×H(5,𝔽₂)	1	4	yes	—
1463	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1464	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1465	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1466	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1467	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1468	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1469	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1470	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1471	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1472	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1473	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1474	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1475	C₂×C₃	—	2	2	no	—
1476	C₂×C₃	—	2	4	no	—
1477	C₂×C₃	—	4	2	no	—
1478	C₂×C₃	—	4	1	no	—
1479	C₂×C₃	—	4	1	no	—
1480	C₂×C₃	—	4	4	no	—
1481	C₂×C₃	—	4	4	no	—
1482	C₂×C₃	—	4	4	no	—
1483	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1484	C₂×C₃	C₂×#585	1	2	yes	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	1	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	1	no	—
1491	C₂²	—	2	4	no	—
1492	C₂²	—	2	4	no	—
1493	C₂²	—	2	4	no	—
1494	C₂²	—	2	4	no	—
1495	C₂²	—	2	4	no	—
1496	C₂²	—	2	8	no	—
1497	C₂²	—	2	4	no	—
1498	C₂²	—	2	4	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	8	no	—
1504	C₂²	—	4	4	no	—
1505	C₂²	—	4	4	no	—
1506	C₂²	—	4	8	no	—
1507	C₂²	—	4	4	no	—
1508	C₂²	—	8	4	no	—
1509	C₂²	—	8	8	no	—
1510	C₂²	—	16	4	no	—
1511	C₂²	C₂×C₃×H(5,𝔽₂)	1	2	yes	—
1512	C₂²	C₃×#585	1	4	yes	—
1513	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1514	C₄	—	2	2	no	—
1515	C₄	—	2	2	no	—
1516	C₄	—	2	2	no	—
1517	C₄	—	2	4	no	—
1518	C₄	—	2	4	no	—
1519	C₄	—	2	4	no	—
1520	C₄	—	2	4	no	—
1521	C₄	—	2	4	no	—
1522	C₄	—	2	4	no	—
1523	C₄	—	2	8	no	—
1524	C₄	—	2	4	no	—
1525	C₄	C₂×C₃×H(5,𝔽₂)	1	4	yes	—
1526	C₃	#62821	1	1	yes	characteristic, direct product factor, Sylow
1527	C₂	—	2	2	no	—
1528	C₂	—	2	4	no	—
1529	C₂	—	4	2	no	—
1530	C₂	—	4	1	no	—
1531	C₂	—	4	1	no	—
1532	C₂	—	4	4	no	—
1533	C₂	—	4	4	no	—
1534	C₂	—	4	4	no	—
1535	C₂	C₂²×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1536	C₂	C₂×C₃×#585	1	2	yes	—

	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×#3542	C₂	semidirect
2. C₃×#3541	C₂	semidirect
3. C₃×#3540	C₂	semidirect
4. C₃×#3539	C₂	semidirect
5. C₃×#3533	C₂	semidirect
6. C₃×#3532	C₂	semidirect
7. C₃×#3520	C₂	semidirect
8. C₃×#3519	C₂	semidirect
9. C₃×#3513	C₂	semidirect
10. C₃×#3506	C₂	semidirect
11. C₃×#3505	C₂	semidirect
12. C₃×#3495	C₂	semidirect
13. C₃×#3494	C₂	semidirect
14. C₃×#3493	C₂	semidirect
15. C₃×#3489	C₂	semidirect
16. C₃×#3488	C₂	semidirect
17. C₃×#3487	C₂	semidirect
18. C₃×#3485	C₂	semidirect
19. C₂×C₃×#525	C₂	semidirect
20. C₂×C₃×#525	C₂	semidirect
21. #62821	C₃	direct (N × H)
22. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
24. C₂²×C₃×#41	C₂²	semidirect
25. C₂²×C₃×#41	C₂²	semidirect
26. C₂⁴×C₃×C₄	C₂²	semidirect
27. C₃×#563	C₂²	semidirect
28. C₃×#562	C₂²	semidirect
29. C₃×H(3,𝔽₄)	C₂²	semidirect
30. C₃×#560	C₂²	semidirect
31. C₃×#560	C₂²	semidirect
32. C₃×#560	C₂²	semidirect
33. C₃×#559	C₂²	semidirect
34. C₃×#559	C₂²	semidirect
35. C₃×#556	C₂²	semidirect
36. C₃×#556	C₂²	semidirect
37. C₃×#556	C₂²	semidirect
38. C₃×#555	C₂²	semidirect
39. C₃×#555	C₂²	semidirect
40. C₃×#555	C₂²	semidirect
41. C₃×#554	C₂²	semidirect
42. C₃×#554	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×#553	C₂²	semidirect
49. C₃×#553	C₂²	semidirect
50. C₃×#553	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×#550	C₂²	semidirect
63. C₃×#550	C₂²	semidirect
64. C₃×#550	C₂²	semidirect
65. C₃×D₄×Q₈	C₂²	semidirect
66. C₃×#548	C₂²	semidirect
67. C₃×#548	C₂²	semidirect
68. C₃×#548	C₂²	semidirect
69. C₃×#548	C₂²	semidirect
70. C₃×#547	C₂²	semidirect
71. C₃×#547	C₂²	semidirect
72. C₃×#547	C₂²	semidirect
73. C₃×#547	C₂²	semidirect
74. C₃×#547	C₂²	semidirect
75. C₃×#546	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×D₄²	C₂²	semidirect
85. C₃×D₄²	C₂²	semidirect
86. C₃×D₄²	C₂²	semidirect
87. C₃×#544	C₂²	semidirect
88. C₃×#542	C₂²	semidirect
89. C₃×#542	C₂²	semidirect
90. C₃×#542	C₂²	semidirect
91. C₃×#542	C₂²	semidirect
92. C₃×#541	C₂²	semidirect
93. C₃×#540	C₂²	semidirect
94. C₃×#540	C₂²	semidirect
95. C₃×#540	C₂²	semidirect
96. C₃×#539	C₂²	semidirect
97. C₃×#539	C₂²	semidirect
98. C₃×#539	C₂²	semidirect
99. C₃×#538	C₂²	semidirect
100. C₃×#538	C₂²	semidirect
101. C₃×#538	C₂²	semidirect
102. C₃×#538	C₂²	semidirect
103. C₃×#538	C₂²	semidirect
104. C₃×#538	C₂²	semidirect
105. C₃×#537	C₂²	semidirect
106. C₃×#537	C₂²	semidirect
107. C₃×#537	C₂²	semidirect
108. C₃×#536	C₂²	semidirect
109. C₃×#536	C₂²	semidirect
110. C₃×#535	C₂²	semidirect
111. C₃×#535	C₂²	semidirect
112. C₃×#535	C₂²	semidirect
113. C₃×#535	C₂²	semidirect
114. C₃×#534	C₂²	semidirect
115. C₃×#534	C₂²	semidirect
116. C₃×#533	C₂²	semidirect
117. C₃×#532	C₂²	semidirect
118. C₃×#529	C₂²	semidirect
119. C₃×#529	C₂²	semidirect
120. C₃×#529	C₂²	semidirect
122. C₃×#525	C₂²	semidirect
123. C₃×#525	C₂²	semidirect
124. C₃×#525	C₂²	semidirect
125. C₃×#525	C₂²	semidirect
126. C₃×#525	C₂²	semidirect
127. C₃×#525	C₂²	semidirect
128. C₃×#525	C₂²	semidirect
129. C₃×#525	C₂²	semidirect
130. C₃×#525	C₂²	semidirect
131. C₃×#525	C₂²	semidirect
132. C₃×#525	C₂²	semidirect
133. C₃×#525	C₂²	semidirect
134. C₃×#525	C₂²	semidirect
135. C₃×#525	C₂²	semidirect
136. C₃×#525	C₂²	semidirect
137. C₃×#525	C₂²	semidirect
138. C₃×#525	C₂²	semidirect
139. C₃×#525	C₂²	semidirect
140. C₂×C₃×#123	C₂²	semidirect
141. C₂×C₃×#123	C₂²	semidirect
142. C₂×C₃×#123	C₂²	semidirect
143. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
145. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
146. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
147. C₂×C₃×#121	C₂²	semidirect
148. C₂×C₃×#121	C₂²	semidirect
149. C₂×C₃×#121	C₂²	semidirect
150. C₂×C₃×#121	C₂²	semidirect
151. C₂×C₃×#120	C₂²	semidirect
152. C₂×C₃×#120	C₂²	semidirect
153. C₃×#520	C₂²	semidirect
154. C₃×#520	C₂²	semidirect
155. C₃×#520	C₂²	semidirect
156. C₃×#519	C₂²	semidirect
157. C₃×#518	C₂²	semidirect
158. C₃×#518	C₂²	semidirect
159. C₂×C₃×C₄×D₄	C₂²	semidirect
160. C₂×C₃×C₄×D₄	C₂²	semidirect
161. C₂×C₃×C₄×D₄	C₂²	semidirect
162. C₂×C₃×#117	C₂²	semidirect
163. C₂×C₃×#117	C₂²	semidirect
164. #3542	C₂×C₃	semidirect
165. #3541	C₂×C₃	semidirect
166. #3540	C₂×C₃	semidirect
167. #3539	C₂×C₃	semidirect
168. #3533	C₂×C₃	semidirect
169. #3532	C₂×C₃	semidirect
170. #3520	C₂×C₃	semidirect
171. #3519	C₂×C₃	semidirect
172. #3513	C₂×C₃	semidirect
173. #3506	C₂×C₃	semidirect
174. #3505	C₂×C₃	semidirect
175. #3495	C₂×C₃	semidirect
176. #3494	C₂×C₃	semidirect
177. #3493	C₂×C₃	semidirect
178. #3489	C₂×C₃	semidirect
179. #3488	C₂×C₃	semidirect
180. #3487	C₂×C₃	semidirect
181. #3485	C₂×C₃	semidirect
182. C₂×#525	C₂×C₃	semidirect
183. C₂×#525	C₂×C₃	semidirect
199. C₂×C₃×#41	C₂³	semidirect
200. C₂×C₃×#41	C₂³	semidirect
203. C₂²×C₃×Q₈	C₂³	semidirect
213. C₂²×C₃×D₄	C₂³	semidirect
225. C₃×C₄⋊Q₈	C₂³	semidirect
226. C₃×C₄⋊Q₈	C₂³	semidirect
227. C₃×C₄⋊Q₈	C₂³	semidirect
228. C₃×C₄⋊Q₈	C₂³	semidirect
232. C₃×#127	C₂³	semidirect
237. C₃×#126	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×#125	C₂³	semidirect
244. C₃×#125	C₂³	semidirect
245. C₃×#125	C₂³	semidirect
246. C₃×#125	C₂³	semidirect
247. C₃×#125	C₂³	semidirect
248. C₃×#125	C₂³	semidirect
256. C₃×#124	C₂³	semidirect
257. C₃×#124	C₂³	semidirect
258. C₃×#124	C₂³	semidirect
259. C₃×#124	C₂³	semidirect
260. C₃×#124	C₂³	semidirect
282. C₃×#123	C₂³	semidirect
283. C₃×#123	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
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
349. C₃×#121	C₂³	semidirect
350. C₃×#121	C₂³	semidirect
351. C₃×#121	C₂³	semidirect
352. C₃×#121	C₂³	semidirect
353. C₃×#121	C₂³	semidirect
354. C₃×#121	C₂³	semidirect
355. C₃×#121	C₂³	semidirect
356. C₃×#121	C₂³	semidirect
374. C₃×#120	C₂³	semidirect
375. C₃×C₄×Q₈	C₂³	semidirect
376. C₃×C₄×Q₈	C₂³	semidirect
377. C₃×C₄×Q₈	C₂³	semidirect
378. C₃×C₄×Q₈	C₂³	semidirect
379. C₃×C₄×Q₈	C₂³	semidirect
380. C₃×C₄×Q₈	C₂³	semidirect
407. C₃×C₄×D₄	C₂³	semidirect
408. C₃×C₄×D₄	C₂³	semidirect
409. C₃×C₄×D₄	C₂³	semidirect
410. C₃×C₄×D₄	C₂³	semidirect
411. C₃×C₄×D₄	C₂³	semidirect
412. C₃×C₄×D₄	C₂³	semidirect
413. C₃×C₄×D₄	C₂³	semidirect
414. C₃×C₄×D₄	C₂³	semidirect
415. C₃×C₄×D₄	C₂³	semidirect
416. C₃×C₄×D₄	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
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
453. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
454. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
457. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
458. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
459. C₂²×#41	C₂²×C₃	semidirect
460. C₂²×#41	C₂²×C₃	semidirect
461. C₂⁴×C₄	C₂²×C₃	semidirect
462. #563	C₂²×C₃	semidirect
463. #562	C₂²×C₃	semidirect
464. H(3,𝔽₄)	C₂²×C₃	semidirect
465. #560	C₂²×C₃	semidirect
466. #560	C₂²×C₃	semidirect
467. #560	C₂²×C₃	semidirect
468. #559	C₂²×C₃	semidirect
469. #559	C₂²×C₃	semidirect
470. #556	C₂²×C₃	semidirect
471. #556	C₂²×C₃	semidirect
472. #556	C₂²×C₃	semidirect
473. #555	C₂²×C₃	semidirect
474. #555	C₂²×C₃	semidirect
475. #555	C₂²×C₃	semidirect
476. #554	C₂²×C₃	semidirect
477. #554	C₂²×C₃	semidirect
478. #553	C₂²×C₃	semidirect
479. #553	C₂²×C₃	semidirect
480. #553	C₂²×C₃	semidirect
481. #553	C₂²×C₃	semidirect
482. #553	C₂²×C₃	semidirect
483. #553	C₂²×C₃	semidirect
484. #553	C₂²×C₃	semidirect
485. #553	C₂²×C₃	semidirect
486. #552	C₂²×C₃	semidirect
487. #552	C₂²×C₃	semidirect
488. #552	C₂²×C₃	semidirect
489. #552	C₂²×C₃	semidirect
490. #552	C₂²×C₃	semidirect
491. #551	C₂²×C₃	semidirect
492. #551	C₂²×C₃	semidirect
493. #551	C₂²×C₃	semidirect
494. #551	C₂²×C₃	semidirect
495. #551	C₂²×C₃	semidirect
496. #551	C₂²×C₃	semidirect
497. #550	C₂²×C₃	semidirect
498. #550	C₂²×C₃	semidirect
499. #550	C₂²×C₃	semidirect
500. D₄×Q₈	C₂²×C₃	semidirect
501. #548	C₂²×C₃	semidirect
502. #548	C₂²×C₃	semidirect
503. #548	C₂²×C₃	semidirect
504. #548	C₂²×C₃	semidirect
505. #547	C₂²×C₃	semidirect
506. #547	C₂²×C₃	semidirect
507. #547	C₂²×C₃	semidirect
508. #547	C₂²×C₃	semidirect
509. #547	C₂²×C₃	semidirect
510. #546	C₂²×C₃	semidirect
511. #546	C₂²×C₃	semidirect
512. #546	C₂²×C₃	semidirect
513. #546	C₂²×C₃	semidirect
514. #546	C₂²×C₃	semidirect
515. #546	C₂²×C₃	semidirect
516. #546	C₂²×C₃	semidirect
517. #546	C₂²×C₃	semidirect
518. #546	C₂²×C₃	semidirect
519. D₄²	C₂²×C₃	semidirect
520. D₄²	C₂²×C₃	semidirect
521. D₄²	C₂²×C₃	semidirect
522. #544	C₂²×C₃	semidirect
523. #542	C₂²×C₃	semidirect
524. #542	C₂²×C₃	semidirect
525. #542	C₂²×C₃	semidirect
526. #542	C₂²×C₃	semidirect
527. #541	C₂²×C₃	semidirect
528. #540	C₂²×C₃	semidirect
529. #540	C₂²×C₃	semidirect
530. #540	C₂²×C₃	semidirect
531. #539	C₂²×C₃	semidirect
532. #539	C₂²×C₃	semidirect
533. #539	C₂²×C₃	semidirect
534. #538	C₂²×C₃	semidirect
535. #538	C₂²×C₃	semidirect
536. #538	C₂²×C₃	semidirect
537. #538	C₂²×C₃	semidirect
538. #538	C₂²×C₃	semidirect
539. #538	C₂²×C₃	semidirect
540. #537	C₂²×C₃	semidirect
541. #537	C₂²×C₃	semidirect
542. #537	C₂²×C₃	semidirect
543. #536	C₂²×C₃	semidirect
544. #536	C₂²×C₃	semidirect
545. #535	C₂²×C₃	semidirect
546. #535	C₂²×C₃	semidirect
547. #535	C₂²×C₃	semidirect
548. #535	C₂²×C₃	semidirect
549. #534	C₂²×C₃	semidirect
550. #534	C₂²×C₃	semidirect
551. #533	C₂²×C₃	semidirect
552. #532	C₂²×C₃	semidirect
553. #529	C₂²×C₃	semidirect
554. #529	C₂²×C₃	semidirect
555. #529	C₂²×C₃	semidirect
557. #525	C₂²×C₃	semidirect
558. #525	C₂²×C₃	semidirect
559. #525	C₂²×C₃	semidirect
560. #525	C₂²×C₃	semidirect
561. #525	C₂²×C₃	semidirect
562. #525	C₂²×C₃	semidirect
563. #525	C₂²×C₃	semidirect
564. #525	C₂²×C₃	semidirect
565. #525	C₂²×C₃	semidirect
566. #525	C₂²×C₃	semidirect
567. #525	C₂²×C₃	semidirect
568. #525	C₂²×C₃	semidirect
569. #525	C₂²×C₃	semidirect
570. #525	C₂²×C₃	semidirect
571. #525	C₂²×C₃	semidirect
572. #525	C₂²×C₃	semidirect
573. #525	C₂²×C₃	semidirect
574. #525	C₂²×C₃	semidirect
575. C₂×#123	C₂²×C₃	semidirect
576. C₂×#123	C₂²×C₃	semidirect
577. C₂×#123	C₂²×C₃	semidirect
578. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
579. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
580. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
581. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
582. C₂×#121	C₂²×C₃	semidirect
583. C₂×#121	C₂²×C₃	semidirect
584. C₂×#121	C₂²×C₃	semidirect
585. C₂×#121	C₂²×C₃	semidirect
586. C₂×#120	C₂²×C₃	semidirect
587. C₂×#120	C₂²×C₃	semidirect
588. #520	C₂²×C₃	semidirect
589. #520	C₂²×C₃	semidirect
590. #520	C₂²×C₃	semidirect
591. #519	C₂²×C₃	semidirect
592. #518	C₂²×C₃	semidirect
593. #518	C₂²×C₃	semidirect
594. C₂×C₄×D₄	C₂²×C₃	semidirect
595. C₂×C₄×D₄	C₂²×C₃	semidirect
596. C₂×C₄×D₄	C₂²×C₃	semidirect
597. C₂×#117	C₂²×C₃	semidirect
598. C₂×#117	C₂²×C₃	semidirect
793. C₂×#41	C₂³×C₃	semidirect
794. C₂×#41	C₂³×C₃	semidirect
797. C₂²×Q₈	C₂³×C₃	semidirect
807. C₂²×D₄	C₂³×C₃	semidirect
819. C₄⋊Q₈	C₂³×C₃	semidirect
820. C₄⋊Q₈	C₂³×C₃	semidirect
821. C₄⋊Q₈	C₂³×C₃	semidirect
822. C₄⋊Q₈	C₂³×C₃	semidirect
826. #127	C₂³×C₃	semidirect
831. #126	C₂³×C₃	semidirect
832. #126	C₂³×C₃	semidirect
833. #126	C₂³×C₃	semidirect
834. #126	C₂³×C₃	semidirect
835. #126	C₂³×C₃	semidirect
836. #126	C₂³×C₃	semidirect
837. #125	C₂³×C₃	semidirect
838. #125	C₂³×C₃	semidirect
839. #125	C₂³×C₃	semidirect
840. #125	C₂³×C₃	semidirect
841. #125	C₂³×C₃	semidirect
842. #125	C₂³×C₃	semidirect
850. #124	C₂³×C₃	semidirect
851. #124	C₂³×C₃	semidirect
852. #124	C₂³×C₃	semidirect
853. #124	C₂³×C₃	semidirect
854. #124	C₂³×C₃	semidirect
876. #123	C₂³×C₃	semidirect
877. #123	C₂³×C₃	semidirect
878. #123	C₂³×C₃	semidirect
879. #123	C₂³×C₃	semidirect
880. #123	C₂³×C₃	semidirect
881. #123	C₂³×C₃	semidirect
882. #123	C₂³×C₃	semidirect
902. C₂²⋊Q₈	C₂³×C₃	semidirect
903. C₂²⋊Q₈	C₂³×C₃	semidirect
904. C₂²⋊Q₈	C₂³×C₃	semidirect
905. C₂²⋊Q₈	C₂³×C₃	semidirect
906. C₂²⋊Q₈	C₂³×C₃	semidirect
907. C₂²⋊Q₈	C₂³×C₃	semidirect
908. C₂²⋊Q₈	C₂³×C₃	semidirect
909. C₂²⋊Q₈	C₂³×C₃	semidirect
910. C₂²⋊Q₈	C₂³×C₃	semidirect
911. C₂²⋊Q₈	C₂³×C₃	semidirect
943. #121	C₂³×C₃	semidirect
944. #121	C₂³×C₃	semidirect
945. #121	C₂³×C₃	semidirect
946. #121	C₂³×C₃	semidirect
947. #121	C₂³×C₃	semidirect
948. #121	C₂³×C₃	semidirect
949. #121	C₂³×C₃	semidirect
950. #121	C₂³×C₃	semidirect
968. #120	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
1001. C₄×D₄	C₂³×C₃	semidirect
1002. C₄×D₄	C₂³×C₃	semidirect
1003. C₄×D₄	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
1021. #117	C₂³×C₃	semidirect
1022. #117	C₂³×C₃	semidirect
1023. #117	C₂³×C₃	semidirect
1024. #117	C₂³×C₃	semidirect
1025. #117	C₂³×C₃	semidirect
1026. #117	C₂³×C₃	semidirect
1033. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1034. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1035. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1036. C₂×C₄⋊C₄	C₂³×C₃	semidirect
1047. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1048. C₂×C₂²⋊C₄	C₂³×C₃	semidirect
1526. C₃	#62821	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×#3542	2
C₃×#3541	2
C₃×#3540	2
C₃×#3539	2
C₃×#3533	2
C₃×#3532	2
C₃×#3520	2
C₃×#3519	2
C₃×#3513	2
C₃×#3506	2
C₃×#3505	2
C₃×#3495	2
C₃×#3494	2
C₃×#3493	2
C₃×#3489	2
C₃×#3488	2
C₃×#3487	2
C₃×#3485	2
C₂×C₃×#525	2
#62821	3

Subgroups — C3×#62821 #10681428

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62821 #10681428