Subgroups — C₃×#62902 #10681509

Order 768.

6590 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3564	C₂	1	4	yes	maximal, complemented
2	C₃×#3563	C₂	1	2	yes	maximal, complemented
3	C₃×#3553	C₂	1	8	yes	maximal, complemented
4	C₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₃×#3541	C₂	1	4	yes	maximal, complemented
6	C₃×#3541	C₂	1	8	yes	maximal, complemented
7	C₃×#3536	C₂	1	2	yes	maximal, complemented
8	C₃×#3535	C₂	1	4	yes	maximal, complemented
9	C₃×#3520	C₂	1	2	yes	maximal, complemented
10	C₃×#3516	C₂	1	4	yes	maximal, complemented
11	C₃×#3505	C₂	1	2	yes	maximal, complemented
12	C₃×#3505	C₂	1	4	yes	maximal, complemented
13	C₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3501	C₂	1	2	yes	maximal, complemented
15	C₃×#3495	C₂	1	2	yes	maximal, complemented
16	C₃×#3492	C₂	1	4	yes	maximal, complemented
17	C₂×C₃×#554	C₂	1	2	yes	maximal, complemented
18	C₂×C₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3459	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3459	C₂	1	2	yes	maximal, complemented
21	#62902	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
22	C₃×#564	C₂²	1	4	yes	complemented
23	C₃×#563	C₂²	1	8	yes	complemented
24	C₃×#563	C₂²	1	4	yes	complemented
25	C₃×#563	C₂²	1	8	yes	complemented
26	C₃×#563	C₂²	1	8	yes	complemented
27	C₃×#562	C₂²	1	8	yes	complemented
28	C₃×#562	C₂²	1	8	yes	complemented
29	C₃×#557	C₂²	1	4	yes	complemented
30	C₃×#556	C₂²	1	4	yes	complemented
31	C₃×#556	C₂²	1	2	yes	complemented
32	C₃×#556	C₂²	1	8	yes	complemented
33	C₃×#554	C₂²	1	4	yes	complemented
34	C₃×#554	C₂²	1	4	yes	complemented
35	C₃×#554	C₂²	1	8	yes	complemented
36	C₃×#554	C₂²	1	4	yes	complemented
37	C₃×#554	C₂²	1	4	yes	complemented
38	C₃×#554	C₂²	1	8	yes	complemented
39	C₃×#554	C₂²	1	4	yes	complemented
40	C₃×#554	C₂²	1	8	yes	complemented
41	C₃×#554	C₂²	1	8	yes	complemented
42	C₃×#554	C₂²	1	8	yes	complemented
43	C₃×#554	C₂²	1	8	yes	complemented
44	C₃×#553	C₂²	1	4	yes	complemented
45	C₃×#553	C₂²	1	4	yes	complemented
46	C₃×#553	C₂²	1	8	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×#553	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	8	yes	complemented
55	C₃×#552	C₂²	1	4	yes	complemented
56	C₃×#552	C₂²	1	8	yes	complemented
57	C₃×#552	C₂²	1	8	yes	complemented
58	C₃×#552	C₂²	1	8	yes	complemented
59	C₃×#552	C₂²	1	4	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×D₄×Q₈	C₂²	1	4	yes	complemented
64	C₃×D₄×Q₈	C₂²	1	8	yes	complemented
65	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
66	C₃×#548	C₂²	1	4	yes	complemented
67	C₃×#548	C₂²	1	8	yes	complemented
68	C₃×#548	C₂²	1	4	yes	complemented
69	C₃×#548	C₂²	1	4	yes	complemented
70	C₃×#547	C₂²	1	2	yes	complemented
71	C₃×#547	C₂²	1	8	yes	complemented
72	C₃×#547	C₂²	1	4	yes	complemented
73	C₃×#547	C₂²	1	2	yes	complemented
74	C₃×#546	C₂²	1	4	yes	complemented
75	C₃×#546	C₂²	1	8	yes	complemented
76	C₃×#544	C₂²	1	4	yes	complemented
77	C₃×#544	C₂²	1	2	yes	complemented
78	C₃×#544	C₂²	1	4	yes	complemented
79	C₃×#544	C₂²	1	2	yes	complemented
80	C₃×#543	C₂²	1	1	yes	characteristic
81	C₃×#543	C₂²	1	2	yes	—
82	C₃×#543	C₂²	1	2	yes	complemented
83	C₃×#543	C₂²	1	4	yes	complemented
84	C₃×#542	C₂²	1	4	yes	complemented
85	C₃×#542	C₂²	1	8	yes	complemented
86	C₃×#542	C₂²	1	4	yes	complemented
87	C₃×#542	C₂²	1	4	yes	complemented
88	C₃×#542	C₂²	1	8	yes	complemented
89	C₃×#541	C₂²	1	4	yes	complemented
90	C₃×#541	C₂²	1	4	yes	complemented
91	C₃×#541	C₂²	1	8	yes	complemented
92	C₃×#541	C₂²	1	8	yes	complemented
93	C₃×#541	C₂²	1	8	yes	complemented
94	C₃×#539	C₂²	1	4	yes	—
95	C₃×#539	C₂²	1	2	yes	—
96	C₃×#539	C₂²	1	8	yes	complemented
97	C₃×#539	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×#539	C₂²	1	4	yes	complemented
102	C₃×#539	C₂²	1	8	yes	complemented
103	C₃×#539	C₂²	1	8	yes	complemented
104	C₃×#539	C₂²	1	4	yes	complemented
105	C₃×#538	C₂²	1	2	yes	—
106	C₃×#538	C₂²	1	4	yes	—
107	C₃×#538	C₂²	1	8	yes	complemented
108	C₃×#538	C₂²	1	4	yes	complemented
109	C₃×#538	C₂²	1	4	yes	complemented
110	C₃×#538	C₂²	1	8	yes	complemented
111	C₃×#537	C₂²	1	4	yes	complemented
112	C₃×#537	C₂²	1	4	yes	complemented
113	C₃×#536	C₂²	1	2	yes	complemented
114	C₃×#536	C₂²	1	8	yes	complemented
115	C₃×#534	C₂²	1	1	yes	characteristic
116	C₃×#534	C₂²	1	4	yes	—
117	C₃×#534	C₂²	1	2	yes	—
118	C₃×#533	C₂²	1	4	yes	complemented
119	C₃×#533	C₂²	1	2	yes	complemented
120	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
121	C₃×#529	C₂²	1	4	yes	—
122	C₃×#529	C₂²	1	2	yes	—
123	C₃×#529	C₂²	1	4	yes	complemented
124	C₃×#529	C₂²	1	8	yes	complemented
125	C₃×#529	C₂²	1	4	yes	complemented
126	C₃×#529	C₂²	1	8	yes	complemented
127	C₂×C₃×#126	C₂²	1	2	yes	complemented
128	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₃×#125	C₂²	1	4	yes	complemented
130	C₃×#525	C₂²	1	2	yes	—
131	C₃×#525	C₂²	1	4	yes	—
132	C₃×#525	C₂²	1	4	yes	complemented
133	C₃×#525	C₂²	1	8	yes	complemented
134	C₃×#525	C₂²	1	4	yes	complemented
135	C₃×#525	C₂²	1	8	yes	complemented
136	C₂×C₃×#123	C₂²	1	2	yes	complemented
137	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
138	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	—
139	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
140	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
141	C₂×C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
142	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
143	C₂×C₃×#121	C₂²	1	2	yes	—
144	C₂×C₃×#121	C₂²	1	1	yes	characteristic
145	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
146	C₃×#520	C₂²	1	2	yes	complemented
147	C₃×#520	C₂²	1	4	yes	complemented
148	C₃×#519	C₂²	1	2	yes	complemented
149	C₃×#518	C₂²	1	2	yes	—
150	C₃×#518	C₂²	1	4	yes	—
151	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
152	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
153	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
154	C₂×C₃×C₄×D₄	C₂²	1	4	yes	—
155	C₂×C₃×C₄×D₄	C₂²	1	2	yes	—
156	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
158	C₂²×C₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₂²×C₃×C₄⋊C₄	C₂²	1	2	yes	complemented
160	#3564	C₂×C₃	1	4	yes	complemented
161	#3563	C₂×C₃	1	2	yes	complemented
162	#3553	C₂×C₃	1	8	yes	complemented
163	#3552	C₂×C₃	1	4	yes	complemented
164	#3541	C₂×C₃	1	4	yes	complemented
165	#3541	C₂×C₃	1	8	yes	complemented
166	#3536	C₂×C₃	1	2	yes	complemented
167	#3535	C₂×C₃	1	4	yes	complemented
168	#3520	C₂×C₃	1	2	yes	complemented
169	#3516	C₂×C₃	1	4	yes	complemented
170	#3505	C₂×C₃	1	2	yes	complemented
171	#3505	C₂×C₃	1	4	yes	complemented
172	#3501	C₂×C₃	1	1	yes	characteristic, complemented
173	#3501	C₂×C₃	1	2	yes	complemented
174	#3495	C₂×C₃	1	2	yes	complemented
175	#3492	C₂×C₃	1	4	yes	complemented
176	C₂×#554	C₂×C₃	1	2	yes	complemented
177	C₂×#553	C₂×C₃	1	1	yes	characteristic, complemented
178	#3459	C₂×C₃	1	1	yes	characteristic, complemented
179	#3459	C₂×C₃	1	2	yes	complemented
180	C₂×C₃×#41	C₂³	1	2	yes	—
181	C₂×C₃×#41	C₂³	1	4	yes	—
182	C₂×C₃×#41	C₂³	1	4	yes	—
183	C₂×C₃×#41	C₂³	1	8	yes	—
184	C₂²×C₃×Q₈	C₂³	1	2	yes	—
185	C₂²×C₃×Q₈	C₂³	1	2	yes	—
186	C₂²×C₃×Q₈	C₂³	1	4	yes	—
187	C₂²×C₃×Q₈	C₂³	1	4	yes	—
188	C₂²×C₃×D₄	C₂³	1	2	yes	—
189	C₂²×C₃×D₄	C₂³	1	2	yes	—
190	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
191	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₃×D₄	C₂³	1	2	yes	—
193	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
194	C₂³×C₃×C₄	C₂³	1	2	yes	—
195	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
196	C₂³×C₃×C₄	C₂³	1	2	yes	—
197	C₂³×C₃×C₄	C₂³	1	4	yes	—
198	C₂³×C₃×C₄	C₂³	1	2	yes	—
199	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
200	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
201	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
202	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
203	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
204	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
205	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
206	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
207	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
208	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
209	C₃×#126	C₂³	1	8	yes	—
210	C₃×#126	C₂³	1	8	yes	—
211	C₃×#126	C₂³	1	4	yes	—
212	C₃×#126	C₂³	1	4	yes	—
213	C₃×#126	C₂³	1	8	yes	—
214	C₃×#126	C₂³	1	8	yes	—
215	C₃×#126	C₂³	1	8	yes	—
216	C₃×#126	C₂³	1	8	yes	—
217	C₃×#126	C₂³	1	8	yes	—
218	C₃×#126	C₂³	1	8	yes	—
219	C₃×#126	C₂³	1	8	yes	—
220	C₃×#126	C₂³	1	8	yes	—
221	C₃×#126	C₂³	1	4	yes	—
222	C₃×#126	C₂³	1	8	yes	—
223	C₃×#126	C₂³	1	8	yes	—
224	C₃×#126	C₂³	1	8	yes	—
225	C₃×#126	C₂³	1	8	yes	—
226	C₃×#125	C₂³	1	8	yes	—
227	C₃×#125	C₂³	1	8	yes	—
228	C₃×#125	C₂³	1	8	yes	—
229	C₃×#125	C₂³	1	4	yes	—
230	C₃×#125	C₂³	1	8	yes	—
231	C₃×#125	C₂³	1	8	yes	—
232	C₃×#125	C₂³	1	4	yes	—
233	C₃×#125	C₂³	1	8	yes	—
234	C₃×#125	C₂³	1	8	yes	—
235	C₃×#125	C₂³	1	2	yes	—
236	C₃×#125	C₂³	1	8	yes	—
237	C₃×#125	C₂³	1	8	yes	—
238	C₃×#125	C₂³	1	8	yes	—
239	C₃×#125	C₂³	1	8	yes	—
240	C₃×#125	C₂³	1	8	yes	—
241	C₃×#125	C₂³	1	4	yes	—
242	C₃×#125	C₂³	1	4	yes	—
243	C₃×#125	C₂³	1	4	yes	—
244	C₃×#125	C₂³	1	4	yes	—
245	C₃×#125	C₂³	1	8	yes	—
246	C₃×#124	C₂³	1	8	yes	—
247	C₃×#124	C₂³	1	8	yes	—
248	C₃×#124	C₂³	1	8	yes	—
249	C₃×#124	C₂³	1	8	yes	—
250	C₃×#124	C₂³	1	2	yes	—
251	C₃×#124	C₂³	1	8	yes	—
252	C₃×#124	C₂³	1	4	yes	—
253	C₃×#124	C₂³	1	4	yes	—
254	C₃×#124	C₂³	1	4	yes	—
255	C₃×#123	C₂³	1	4	yes	—
256	C₃×#123	C₂³	1	8	yes	—
257	C₃×#123	C₂³	1	8	yes	—
258	C₃×#123	C₂³	1	8	yes	—
259	C₃×#123	C₂³	1	8	yes	—
260	C₃×#123	C₂³	1	8	yes	—
261	C₃×#123	C₂³	1	8	yes	—
262	C₃×#123	C₂³	1	8	yes	—
263	C₃×#123	C₂³	1	8	yes	—
264	C₃×#123	C₂³	1	8	yes	—
265	C₃×#123	C₂³	1	8	yes	—
266	C₃×#123	C₂³	1	8	yes	—
267	C₃×#123	C₂³	1	8	yes	—
268	C₃×#123	C₂³	1	4	yes	—
269	C₃×#123	C₂³	1	4	yes	—
270	C₃×#123	C₂³	1	8	yes	—
271	C₃×#123	C₂³	1	8	yes	—
272	C₃×#123	C₂³	1	4	yes	—
273	C₃×#123	C₂³	1	8	yes	—
274	C₃×#123	C₂³	1	4	yes	—
275	C₃×#123	C₂³	1	4	yes	—
276	C₃×#123	C₂³	1	8	yes	—
277	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
279	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
280	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
281	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
282	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
283	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
284	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
285	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
286	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
287	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
289	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
292	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
293	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
295	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
296	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
302	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
306	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
315	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₃×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₃×#121	C₂³	1	4	yes	—
321	C₃×#121	C₂³	1	4	yes	—
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	8	yes	—
326	C₃×#121	C₂³	1	8	yes	—
327	C₃×#121	C₂³	1	4	yes	—
328	C₃×#121	C₂³	1	8	yes	—
329	C₃×#121	C₂³	1	8	yes	—
330	C₃×#121	C₂³	1	4	yes	—
331	C₃×#121	C₂³	1	4	yes	—
332	C₃×#121	C₂³	1	2	yes	—
333	C₃×#121	C₂³	1	2	yes	—
334	C₃×#121	C₂³	1	2	yes	—
335	C₃×#121	C₂³	1	8	yes	—
336	C₃×#121	C₂³	1	4	yes	—
337	C₃×#121	C₂³	1	8	yes	—
338	C₃×#121	C₂³	1	4	yes	—
339	C₃×#121	C₂³	1	4	yes	—
340	C₃×#121	C₂³	1	8	yes	—
341	C₃×#120	C₂³	1	4	yes	—
342	C₃×#120	C₂³	1	8	yes	—
343	C₃×#120	C₂³	1	4	yes	—
344	C₃×#120	C₂³	1	4	yes	—
345	C₃×#120	C₂³	1	8	yes	—
346	C₃×C₄×Q₈	C₂³	1	4	yes	—
347	C₃×C₄×Q₈	C₂³	1	4	yes	—
348	C₃×C₄×Q₈	C₂³	1	8	yes	—
349	C₃×C₄×Q₈	C₂³	1	4	yes	—
350	C₃×C₄×Q₈	C₂³	1	4	yes	—
351	C₃×C₄×Q₈	C₂³	1	4	yes	—
352	C₃×C₄×Q₈	C₂³	1	4	yes	—
353	C₃×C₄×Q₈	C₂³	1	4	yes	—
354	C₃×C₄×Q₈	C₂³	1	2	yes	—
355	C₃×C₄×Q₈	C₂³	1	8	yes	—
356	C₃×C₄×Q₈	C₂³	1	4	yes	—
357	C₃×C₄×Q₈	C₂³	1	8	yes	—
358	C₃×C₄×D₄	C₂³	1	4	yes	—
359	C₃×C₄×D₄	C₂³	1	8	yes	—
360	C₃×C₄×D₄	C₂³	1	4	yes	—
361	C₃×C₄×D₄	C₂³	1	4	yes	—
362	C₃×C₄×D₄	C₂³	1	8	yes	—
363	C₃×C₄×D₄	C₂³	1	8	yes	—
364	C₃×C₄×D₄	C₂³	1	8	yes	—
365	C₃×C₄×D₄	C₂³	1	4	yes	—
366	C₃×C₄×D₄	C₂³	1	8	yes	—
367	C₃×C₄×D₄	C₂³	1	8	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	2	yes	—
373	C₃×C₄×D₄	C₂³	1	8	yes	—
374	C₃×C₄×D₄	C₂³	1	8	yes	—
375	C₃×C₄×D₄	C₂³	1	8	yes	—
376	C₃×C₄×D₄	C₂³	1	8	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	4	yes	—
381	C₃×C₄×D₄	C₂³	1	8	yes	—
382	C₃×C₄×D₄	C₂³	1	8	yes	—
383	C₃×C₄×D₄	C₂³	1	4	yes	—
384	C₃×C₄×D₄	C₂³	1	4	yes	—
385	C₃×C₄×D₄	C₂³	1	2	yes	—
386	C₃×C₄×D₄	C₂³	1	8	yes	—
387	C₃×C₄×D₄	C₂³	1	8	yes	—
388	C₃×#117	C₂³	1	2	yes	—
389	C₃×#117	C₂³	1	2	yes	—
390	C₃×#117	C₂³	1	4	yes	—
391	C₃×#117	C₂³	1	8	yes	—
392	C₃×#117	C₂³	1	4	yes	—
393	C₃×#117	C₂³	1	2	yes	—
394	C₃×#117	C₂³	1	8	yes	—
395	C₃×#117	C₂³	1	4	yes	—
396	C₃×#117	C₂³	1	4	yes	—
397	C₃×#117	C₂³	1	8	yes	—
398	C₃×#117	C₂³	1	4	yes	—
399	C₃×#117	C₂³	1	8	yes	—
400	C₃×#117	C₂³	1	8	yes	—
401	C₃×#117	C₂³	1	8	yes	—
402	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
403	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
406	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
407	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
408	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
409	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
410	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
411	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
412	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
413	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
415	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
416	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
417	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
419	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
420	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
421	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
422	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
423	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
424	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
425	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
426	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
427	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
430	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
431	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
432	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
433	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
434	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
435	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
436	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
437	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
438	C₂×C₃×C₄²	C₂³	1	2	yes	—
439	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
440	C₂×C₃×C₄²	C₂³	1	4	yes	—
441	C₂×C₃×C₄²	C₂³	1	2	yes	—
442	#564	C₂²×C₃	1	4	yes	complemented
443	#563	C₂²×C₃	1	8	yes	complemented
444	#563	C₂²×C₃	1	4	yes	complemented
445	#563	C₂²×C₃	1	8	yes	complemented
446	#563	C₂²×C₃	1	8	yes	complemented
447	#562	C₂²×C₃	1	8	yes	complemented
448	#562	C₂²×C₃	1	8	yes	complemented
449	#557	C₂²×C₃	1	4	yes	complemented
450	#556	C₂²×C₃	1	4	yes	complemented
451	#556	C₂²×C₃	1	2	yes	complemented
452	#556	C₂²×C₃	1	8	yes	complemented
453	#554	C₂²×C₃	1	4	yes	complemented
454	#554	C₂²×C₃	1	4	yes	complemented
455	#554	C₂²×C₃	1	8	yes	complemented
456	#554	C₂²×C₃	1	4	yes	complemented
457	#554	C₂²×C₃	1	4	yes	complemented
458	#554	C₂²×C₃	1	8	yes	complemented
459	#554	C₂²×C₃	1	4	yes	complemented
460	#554	C₂²×C₃	1	8	yes	complemented
461	#554	C₂²×C₃	1	8	yes	complemented
462	#554	C₂²×C₃	1	8	yes	complemented
463	#554	C₂²×C₃	1	8	yes	complemented
464	#553	C₂²×C₃	1	4	yes	complemented
465	#553	C₂²×C₃	1	4	yes	complemented
466	#553	C₂²×C₃	1	8	yes	complemented
467	#553	C₂²×C₃	1	4	yes	complemented
468	#553	C₂²×C₃	1	8	yes	complemented
469	#553	C₂²×C₃	1	8	yes	complemented
470	#553	C₂²×C₃	1	8	yes	complemented
471	#553	C₂²×C₃	1	8	yes	complemented
472	#552	C₂²×C₃	1	4	yes	complemented
473	#552	C₂²×C₃	1	4	yes	complemented
474	#552	C₂²×C₃	1	8	yes	complemented
475	#552	C₂²×C₃	1	4	yes	complemented
476	#552	C₂²×C₃	1	8	yes	complemented
477	#552	C₂²×C₃	1	8	yes	complemented
478	#552	C₂²×C₃	1	8	yes	complemented
479	#552	C₂²×C₃	1	4	yes	complemented
480	#551	C₂²×C₃	1	8	yes	complemented
481	#551	C₂²×C₃	1	8	yes	complemented
482	#551	C₂²×C₃	1	8	yes	complemented
483	D₄×Q₈	C₂²×C₃	1	4	yes	complemented
484	D₄×Q₈	C₂²×C₃	1	8	yes	complemented
485	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
486	#548	C₂²×C₃	1	4	yes	complemented
487	#548	C₂²×C₃	1	8	yes	complemented
488	#548	C₂²×C₃	1	4	yes	complemented
489	#548	C₂²×C₃	1	4	yes	complemented
490	#547	C₂²×C₃	1	2	yes	complemented
491	#547	C₂²×C₃	1	8	yes	complemented
492	#547	C₂²×C₃	1	4	yes	complemented
493	#547	C₂²×C₃	1	2	yes	complemented
494	#546	C₂²×C₃	1	4	yes	complemented
495	#546	C₂²×C₃	1	8	yes	complemented
496	#544	C₂²×C₃	1	4	yes	complemented
497	#544	C₂²×C₃	1	2	yes	complemented
498	#544	C₂²×C₃	1	4	yes	complemented
499	#544	C₂²×C₃	1	2	yes	complemented
500	#543	C₂²×C₃	1	1	yes	characteristic
501	#543	C₂²×C₃	1	2	yes	—
502	#543	C₂²×C₃	1	2	yes	complemented
503	#543	C₂²×C₃	1	4	yes	complemented
504	#542	C₂²×C₃	1	4	yes	complemented
505	#542	C₂²×C₃	1	8	yes	complemented
506	#542	C₂²×C₃	1	4	yes	complemented
507	#542	C₂²×C₃	1	4	yes	complemented
508	#542	C₂²×C₃	1	8	yes	complemented
509	#541	C₂²×C₃	1	4	yes	complemented
510	#541	C₂²×C₃	1	4	yes	complemented
511	#541	C₂²×C₃	1	8	yes	complemented
512	#541	C₂²×C₃	1	8	yes	complemented
513	#541	C₂²×C₃	1	8	yes	complemented
514	#539	C₂²×C₃	1	4	yes	—
515	#539	C₂²×C₃	1	2	yes	—
516	#539	C₂²×C₃	1	8	yes	complemented
517	#539	C₂²×C₃	1	4	yes	complemented
518	#539	C₂²×C₃	1	8	yes	complemented
519	#539	C₂²×C₃	1	8	yes	complemented
520	#539	C₂²×C₃	1	8	yes	complemented
521	#539	C₂²×C₃	1	4	yes	complemented
522	#539	C₂²×C₃	1	8	yes	complemented
523	#539	C₂²×C₃	1	8	yes	complemented
524	#539	C₂²×C₃	1	4	yes	complemented
525	#538	C₂²×C₃	1	2	yes	—
526	#538	C₂²×C₃	1	4	yes	—
527	#538	C₂²×C₃	1	8	yes	complemented
528	#538	C₂²×C₃	1	4	yes	complemented
529	#538	C₂²×C₃	1	4	yes	complemented
530	#538	C₂²×C₃	1	8	yes	complemented
531	#537	C₂²×C₃	1	4	yes	complemented
532	#537	C₂²×C₃	1	4	yes	complemented
533	#536	C₂²×C₃	1	2	yes	complemented
534	#536	C₂²×C₃	1	8	yes	complemented
535	#534	C₂²×C₃	1	1	yes	characteristic
536	#534	C₂²×C₃	1	4	yes	—
537	#534	C₂²×C₃	1	2	yes	—
538	#533	C₂²×C₃	1	4	yes	complemented
539	#533	C₂²×C₃	1	2	yes	complemented
540	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
541	#529	C₂²×C₃	1	4	yes	—
542	#529	C₂²×C₃	1	2	yes	—
543	#529	C₂²×C₃	1	4	yes	complemented
544	#529	C₂²×C₃	1	8	yes	complemented
545	#529	C₂²×C₃	1	4	yes	complemented
546	#529	C₂²×C₃	1	8	yes	complemented
547	C₂×#126	C₂²×C₃	1	2	yes	complemented
548	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
549	C₂×#125	C₂²×C₃	1	4	yes	complemented
550	#525	C₂²×C₃	1	2	yes	—
551	#525	C₂²×C₃	1	4	yes	—
552	#525	C₂²×C₃	1	4	yes	complemented
553	#525	C₂²×C₃	1	8	yes	complemented
554	#525	C₂²×C₃	1	4	yes	complemented
555	#525	C₂²×C₃	1	8	yes	complemented
556	C₂×#123	C₂²×C₃	1	2	yes	complemented
557	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
558	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
559	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
560	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
561	C₂×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
562	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
563	C₂×#121	C₂²×C₃	1	2	yes	—
564	C₂×#121	C₂²×C₃	1	1	yes	characteristic
565	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
566	#520	C₂²×C₃	1	2	yes	complemented
567	#520	C₂²×C₃	1	4	yes	complemented
568	#519	C₂²×C₃	1	2	yes	complemented
569	#518	C₂²×C₃	1	2	yes	—
570	#518	C₂²×C₃	1	4	yes	—
571	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
572	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
573	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
574	C₂×C₄×D₄	C₂²×C₃	1	4	yes	—
575	C₂×C₄×D₄	C₂²×C₃	1	2	yes	—
576	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
577	C₂×#117	C₂²×C₃	1	1	yes	characteristic, complemented
578	C₂²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
579	C₂²×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
580	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
581	C₂⁴×C₃	C₂⁴	1	2	yes	—
582	C₂⁴×C₃	C₂⁴	1	2	yes	—
583	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
584	C₃×#41	—	4	4	no	—
585	C₃×#41	—	4	8	no	—
586	C₃×#41	—	8	4	no	—
587	C₃×#41	—	8	8	no	—
588	C₂×C₃×Q₈	—	4	4	no	—
589	C₂×C₃×Q₈	—	4	4	no	—
590	C₂×C₃×Q₈	—	8	4	no	—
591	C₂×C₃×Q₈	—	8	4	no	—
592	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
593	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
594	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
595	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
596	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
597	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
598	C₂×C₃×Q₈	C₂⁴	1	8	yes	—
599	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
600	C₂×C₃×D₄	—	2	8	no	—
601	C₂×C₃×D₄	—	2	8	no	—
602	C₂×C₃×D₄	—	2	4	no	—
603	C₂×C₃×D₄	—	4	2	no	—
604	C₂×C₃×D₄	—	8	2	no	—
605	C₂×C₃×D₄	C₂⁴	1	4	yes	—
606	C₂×C₃×D₄	C₂⁴	1	4	yes	—
607	C₂×C₃×D₄	C₂⁴	1	4	yes	—
608	C₂×C₃×D₄	C₂⁴	1	8	yes	—
609	C₂×C₃×D₄	C₂⁴	1	2	yes	—
610	C₂×C₃×D₄	C₂⁴	1	4	yes	—
611	C₂×C₃×D₄	C₂⁴	1	8	yes	—
612	C₂×C₃×D₄	C₂⁴	1	2	yes	—
613	C₂×C₃×D₄	C₂⁴	1	2	yes	—
614	C₂×C₃×D₄	C₂⁴	1	2	yes	—
615	C₂×C₃×D₄	C₂⁴	1	8	yes	—
616	C₂×C₃×D₄	C₂⁴	1	4	yes	—
617	C₂×C₃×D₄	C₂⁴	1	8	yes	—
618	C₂²×C₃×C₄	—	4	2	no	—
619	C₂²×C₃×C₄	—	4	2	no	—
620	C₂²×C₃×C₄	—	4	4	no	—
621	C₂²×C₃×C₄	—	8	2	no	—
622	C₂²×C₃×C₄	—	8	2	no	—
623	C₂²×C₃×C₄	—	8	4	no	—
624	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
625	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
626	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
627	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
628	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
629	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
630	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
631	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
633	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
634	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
635	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
636	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
637	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
638	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
639	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
640	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
641	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
642	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
643	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
644	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
645	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
646	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
647	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
648	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
649	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
650	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
651	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
652	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
653	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
655	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
656	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
657	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
658	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
659	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
661	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
662	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
664	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
665	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
667	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
668	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
669	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
671	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
672	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
673	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
674	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
675	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
678	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
680	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
681	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
683	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
685	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
686	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
687	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
688	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
690	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
691	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
692	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
693	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
694	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
695	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
697	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
698	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
701	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
703	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
705	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
707	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
711	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
712	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
715	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
717	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
718	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
719	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
721	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
723	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₃×C₄²	C₂⁴	1	4	yes	—
727	C₃×C₄²	C₂⁴	1	8	yes	—
728	C₃×C₄²	C₂⁴	1	2	yes	—
729	C₃×C₄²	C₂⁴	1	4	yes	—
730	C₃×C₄²	C₂⁴	1	4	yes	—
731	C₃×C₄²	C₂⁴	1	4	yes	—
732	C₃×C₄²	C₂⁴	1	2	yes	—
733	C₃×C₄²	C₂⁴	1	8	yes	—
734	C₃×C₄²	C₂⁴	1	8	yes	—
735	C₃×C₄²	C₂⁴	1	8	yes	—
736	C₃×C₄²	C₂⁴	1	8	yes	—
737	C₂×#41	C₂³×C₃	1	2	yes	—
738	C₂×#41	C₂³×C₃	1	4	yes	—
739	C₂×#41	C₂³×C₃	1	4	yes	—
740	C₂×#41	C₂³×C₃	1	8	yes	—
741	C₂²×Q₈	C₂³×C₃	1	2	yes	—
742	C₂²×Q₈	C₂³×C₃	1	2	yes	—
743	C₂²×Q₈	C₂³×C₃	1	4	yes	—
744	C₂²×Q₈	C₂³×C₃	1	4	yes	—
745	C₂²×D₄	C₂³×C₃	1	2	yes	—
746	C₂²×D₄	C₂³×C₃	1	2	yes	—
747	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
748	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
749	C₂²×D₄	C₂³×C₃	1	2	yes	—
750	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
751	C₂³×C₄	C₂³×C₃	1	2	yes	—
752	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
753	C₂³×C₄	C₂³×C₃	1	2	yes	—
754	C₂³×C₄	C₂³×C₃	1	4	yes	—
755	C₂³×C₄	C₂³×C₃	1	2	yes	—
756	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
757	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
758	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
759	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
760	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
761	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
762	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
763	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
764	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
765	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
766	#126	C₂³×C₃	1	8	yes	—
767	#126	C₂³×C₃	1	8	yes	—
768	#126	C₂³×C₃	1	4	yes	—
769	#126	C₂³×C₃	1	8	yes	—
770	#126	C₂³×C₃	1	8	yes	—
771	#126	C₂³×C₃	1	4	yes	—
772	#126	C₂³×C₃	1	8	yes	—
773	#126	C₂³×C₃	1	4	yes	—
774	#126	C₂³×C₃	1	8	yes	—
775	#126	C₂³×C₃	1	8	yes	—
776	#126	C₂³×C₃	1	8	yes	—
777	#126	C₂³×C₃	1	8	yes	—
778	#126	C₂³×C₃	1	8	yes	—
779	#126	C₂³×C₃	1	8	yes	—
780	#126	C₂³×C₃	1	8	yes	—
781	#126	C₂³×C₃	1	8	yes	—
782	#126	C₂³×C₃	1	8	yes	—
783	#125	C₂³×C₃	1	8	yes	—
784	#125	C₂³×C₃	1	8	yes	—
785	#125	C₂³×C₃	1	8	yes	—
786	#125	C₂³×C₃	1	8	yes	—
787	#125	C₂³×C₃	1	4	yes	—
788	#125	C₂³×C₃	1	4	yes	—
789	#125	C₂³×C₃	1	4	yes	—
790	#125	C₂³×C₃	1	2	yes	—
791	#125	C₂³×C₃	1	4	yes	—
792	#125	C₂³×C₃	1	8	yes	—
793	#125	C₂³×C₃	1	8	yes	—
794	#125	C₂³×C₃	1	4	yes	—
795	#125	C₂³×C₃	1	4	yes	—
796	#125	C₂³×C₃	1	8	yes	—
797	#125	C₂³×C₃	1	8	yes	—
798	#125	C₂³×C₃	1	8	yes	—
799	#125	C₂³×C₃	1	8	yes	—
800	#125	C₂³×C₃	1	8	yes	—
801	#125	C₂³×C₃	1	8	yes	—
802	#125	C₂³×C₃	1	8	yes	—
803	#124	C₂³×C₃	1	4	yes	—
804	#124	C₂³×C₃	1	2	yes	—
805	#124	C₂³×C₃	1	4	yes	—
806	#124	C₂³×C₃	1	8	yes	—
807	#124	C₂³×C₃	1	4	yes	—
808	#124	C₂³×C₃	1	8	yes	—
809	#124	C₂³×C₃	1	8	yes	—
810	#124	C₂³×C₃	1	8	yes	—
811	#124	C₂³×C₃	1	8	yes	—
812	#123	C₂³×C₃	1	8	yes	—
813	#123	C₂³×C₃	1	8	yes	—
814	#123	C₂³×C₃	1	8	yes	—
815	#123	C₂³×C₃	1	4	yes	—
816	#123	C₂³×C₃	1	4	yes	—
817	#123	C₂³×C₃	1	8	yes	—
818	#123	C₂³×C₃	1	4	yes	—
819	#123	C₂³×C₃	1	8	yes	—
820	#123	C₂³×C₃	1	8	yes	—
821	#123	C₂³×C₃	1	8	yes	—
822	#123	C₂³×C₃	1	8	yes	—
823	#123	C₂³×C₃	1	4	yes	—
824	#123	C₂³×C₃	1	8	yes	—
825	#123	C₂³×C₃	1	4	yes	—
826	#123	C₂³×C₃	1	4	yes	—
827	#123	C₂³×C₃	1	8	yes	—
828	#123	C₂³×C₃	1	8	yes	—
829	#123	C₂³×C₃	1	8	yes	—
830	#123	C₂³×C₃	1	8	yes	—
831	#123	C₂³×C₃	1	8	yes	—
832	#123	C₂³×C₃	1	8	yes	—
833	#123	C₂³×C₃	1	8	yes	—
834	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
835	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
836	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
837	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
838	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
839	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
840	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
841	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
842	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
843	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
844	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
845	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
846	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
847	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
848	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
849	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
850	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
851	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
852	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
853	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
854	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
855	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
856	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
857	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
858	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
859	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
860	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
861	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
862	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
863	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
864	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
865	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
866	C₂²⋊Q₈	C₂³×C₃	1	4	yes	—
867	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
868	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
869	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
870	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
871	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
872	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
873	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
874	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
875	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
876	C₂²⋊Q₈	C₂³×C₃	1	8	yes	—
877	#121	C₂³×C₃	1	4	yes	—
878	#121	C₂³×C₃	1	8	yes	—
879	#121	C₂³×C₃	1	8	yes	—
880	#121	C₂³×C₃	1	4	yes	—
881	#121	C₂³×C₃	1	4	yes	—
882	#121	C₂³×C₃	1	4	yes	—
883	#121	C₂³×C₃	1	2	yes	—
884	#121	C₂³×C₃	1	2	yes	—
885	#121	C₂³×C₃	1	2	yes	—
886	#121	C₂³×C₃	1	4	yes	—
887	#121	C₂³×C₃	1	8	yes	—
888	#121	C₂³×C₃	1	4	yes	—
889	#121	C₂³×C₃	1	8	yes	—
890	#121	C₂³×C₃	1	8	yes	—
891	#121	C₂³×C₃	1	4	yes	—
892	#121	C₂³×C₃	1	4	yes	—
893	#121	C₂³×C₃	1	4	yes	—
894	#121	C₂³×C₃	1	8	yes	—
895	#121	C₂³×C₃	1	8	yes	—
896	#121	C₂³×C₃	1	8	yes	—
897	#121	C₂³×C₃	1	8	yes	—
898	#120	C₂³×C₃	1	4	yes	—
899	#120	C₂³×C₃	1	8	yes	—
900	#120	C₂³×C₃	1	4	yes	—
901	#120	C₂³×C₃	1	4	yes	—
902	#120	C₂³×C₃	1	8	yes	—
903	C₄×Q₈	C₂³×C₃	1	4	yes	—
904	C₄×Q₈	C₂³×C₃	1	4	yes	—
905	C₄×Q₈	C₂³×C₃	1	8	yes	—
906	C₄×Q₈	C₂³×C₃	1	4	yes	—
907	C₄×Q₈	C₂³×C₃	1	4	yes	—
908	C₄×Q₈	C₂³×C₃	1	4	yes	—
909	C₄×Q₈	C₂³×C₃	1	4	yes	—
910	C₄×Q₈	C₂³×C₃	1	4	yes	—
911	C₄×Q₈	C₂³×C₃	1	2	yes	—
912	C₄×Q₈	C₂³×C₃	1	8	yes	—
913	C₄×Q₈	C₂³×C₃	1	4	yes	—
914	C₄×Q₈	C₂³×C₃	1	8	yes	—
915	C₄×D₄	C₂³×C₃	1	4	yes	—
916	C₄×D₄	C₂³×C₃	1	8	yes	—
917	C₄×D₄	C₂³×C₃	1	4	yes	—
918	C₄×D₄	C₂³×C₃	1	4	yes	—
919	C₄×D₄	C₂³×C₃	1	8	yes	—
920	C₄×D₄	C₂³×C₃	1	8	yes	—
921	C₄×D₄	C₂³×C₃	1	8	yes	—
922	C₄×D₄	C₂³×C₃	1	4	yes	—
923	C₄×D₄	C₂³×C₃	1	8	yes	—
924	C₄×D₄	C₂³×C₃	1	8	yes	—
925	C₄×D₄	C₂³×C₃	1	4	yes	—
926	C₄×D₄	C₂³×C₃	1	4	yes	—
927	C₄×D₄	C₂³×C₃	1	2	yes	—
928	C₄×D₄	C₂³×C₃	1	4	yes	—
929	C₄×D₄	C₂³×C₃	1	2	yes	—
930	C₄×D₄	C₂³×C₃	1	8	yes	—
931	C₄×D₄	C₂³×C₃	1	8	yes	—
932	C₄×D₄	C₂³×C₃	1	8	yes	—
933	C₄×D₄	C₂³×C₃	1	8	yes	—
934	C₄×D₄	C₂³×C₃	1	8	yes	—
935	C₄×D₄	C₂³×C₃	1	8	yes	—
936	C₄×D₄	C₂³×C₃	1	8	yes	—
937	C₄×D₄	C₂³×C₃	1	4	yes	—
938	C₄×D₄	C₂³×C₃	1	8	yes	—
939	C₄×D₄	C₂³×C₃	1	8	yes	—
940	C₄×D₄	C₂³×C₃	1	4	yes	—
941	C₄×D₄	C₂³×C₃	1	4	yes	—
942	C₄×D₄	C₂³×C₃	1	2	yes	—
943	C₄×D₄	C₂³×C₃	1	8	yes	—
944	C₄×D₄	C₂³×C₃	1	8	yes	—
945	#117	C₂³×C₃	1	2	yes	—
946	#117	C₂³×C₃	1	2	yes	—
947	#117	C₂³×C₃	1	4	yes	—
948	#117	C₂³×C₃	1	8	yes	—
949	#117	C₂³×C₃	1	4	yes	—
950	#117	C₂³×C₃	1	2	yes	—
951	#117	C₂³×C₃	1	8	yes	—
952	#117	C₂³×C₃	1	4	yes	—
953	#117	C₂³×C₃	1	4	yes	—
954	#117	C₂³×C₃	1	8	yes	—
955	#117	C₂³×C₃	1	4	yes	—
956	#117	C₂³×C₃	1	8	yes	—
957	#117	C₂³×C₃	1	8	yes	—
958	#117	C₂³×C₃	1	8	yes	—
959	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
960	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
963	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
964	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
965	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
966	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
967	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
968	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
969	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
970	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
972	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
973	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
974	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
976	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
977	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
978	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
979	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
980	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
981	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
982	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
983	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
986	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
987	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
989	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
990	C₂×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
993	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
995	C₂×C₄²	C₂³×C₃	1	2	yes	—
996	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₃	1	4	yes	—
998	C₂×C₄²	C₂³×C₃	1	2	yes	—
999	C₂³×C₃	—	2	4	no	—
1000	C₂³×C₃	—	2	2	no	—
1001	C₂³×C₃	—	2	4	no	—
1002	C₂³×C₃	—	4	1	no	—
1003	C₂³×C₃	—	4	2	no	—
1004	C₂³×C₃	—	4	1	no	—
1005	C₂³×C₃	—	4	2	no	—
1006	C₂³×C₃	—	4	1	no	—
1007	C₂³×C₃	—	4	2	no	—
1008	C₂³×C₃	—	4	2	no	—
1009	C₂³×C₃	—	4	1	no	—
1010	C₂³×C₃	2₋¹⁺⁴	1	4	yes	—
1011	C₂³×C₃	C₂⁵	1	2	yes	—
1012	C₂³×C₃	C₂⁵	1	4	yes	—
1013	C₂³×C₃	C₂⁵	1	4	yes	—
1014	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1015	C₂³×C₃	C₂⁵	1	2	yes	—
1016	C₃×Q₈	—	2	8	no	—
1017	C₃×Q₈	—	4	4	no	—
1018	C₃×Q₈	—	4	4	no	—
1019	C₃×Q₈	—	4	8	no	—
1020	C₃×Q₈	—	4	2	no	—
1021	C₃×Q₈	—	4	8	no	—
1022	C₃×Q₈	—	4	4	no	—
1023	C₃×Q₈	—	4	2	no	—
1024	C₃×D₄	—	2	8	no	—
1025	C₃×D₄	—	2	8	no	—
1026	C₃×D₄	—	2	8	no	—
1027	C₃×D₄	—	2	16	no	—
1028	C₃×D₄	—	2	4	no	—
1029	C₃×D₄	—	4	2	no	—
1030	C₃×D₄	—	4	8	no	—
1031	C₃×D₄	—	4	4	no	—
1032	C₃×D₄	—	4	2	no	—
1033	C₃×D₄	—	4	8	no	—
1034	C₃×D₄	—	4	2	no	—
1035	C₃×D₄	—	4	8	no	—
1036	C₃×D₄	—	4	4	no	—
1037	C₂×C₃×C₄	—	2	4	no	—
1038	C₂×C₃×C₄	—	2	2	no	—
1039	C₂×C₃×C₄	—	2	4	no	—
1040	C₂×C₃×C₄	—	2	2	no	—
1041	C₂×C₃×C₄	—	2	4	no	—
1042	C₂×C₃×C₄	—	2	4	no	—
1043	C₂×C₃×C₄	—	2	8	no	—
1044	C₂×C₃×C₄	—	4	2	no	—
1045	C₂×C₃×C₄	—	4	2	no	—
1046	C₂×C₃×C₄	—	4	2	no	—
1047	C₂×C₃×C₄	—	4	4	no	—
1048	C₂×C₃×C₄	—	4	1	no	—
1049	C₂×C₃×C₄	—	4	1	no	—
1050	C₂×C₃×C₄	—	4	4	no	—
1051	C₂×C₃×C₄	—	4	2	no	—
1052	C₂×C₃×C₄	—	4	1	no	—
1053	C₂×C₃×C₄	—	4	2	no	—
1054	C₂×C₃×C₄	—	4	4	no	—
1055	C₂×C₃×C₄	—	4	4	no	—
1056	C₂×C₃×C₄	—	4	4	no	—
1057	C₂×C₃×C₄	—	4	4	no	—
1058	C₂×C₃×C₄	—	4	8	no	—
1059	C₂×C₃×C₄	—	4	8	no	—
1060	C₂×C₃×C₄	—	4	4	no	—
1061	C₂×C₃×C₄	—	4	4	no	—
1062	C₂×C₃×C₄	—	4	2	no	—
1063	C₂×C₃×C₄	—	4	8	no	—
1064	C₂×C₃×C₄	—	4	8	no	—
1065	C₂×C₃×C₄	—	4	4	no	—
1066	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1067	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1068	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1069	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1070	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1071	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1072	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1073	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1074	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1075	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1076	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1077	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1078	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1079	C₂×C₃×C₄	C₂⁵	1	4	yes	—
1080	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1081	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1082	C₂⁴	C₂⁴×C₃	1	2	yes	—
1083	C₂⁴	C₂⁴×C₃	1	2	yes	—
1084	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
1085	#41	—	4	4	no	—
1086	#41	—	4	8	no	—
1087	#41	—	8	4	no	—
1088	#41	—	8	8	no	—
1089	C₂×Q₈	—	4	4	no	—
1090	C₂×Q₈	—	4	4	no	—
1091	C₂×Q₈	—	8	4	no	—
1092	C₂×Q₈	—	8	4	no	—
1093	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1094	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1095	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1096	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1097	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
1098	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1099	C₂×Q₈	C₂⁴×C₃	1	8	yes	—
1100	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
1101	C₂×D₄	—	2	8	no	—
1102	C₂×D₄	—	2	8	no	—
1103	C₂×D₄	—	2	4	no	—
1104	C₂×D₄	—	4	2	no	—
1105	C₂×D₄	—	8	2	no	—
1106	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1107	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1108	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1109	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1110	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1111	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1112	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1113	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1114	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1115	C₂×D₄	C₂⁴×C₃	1	2	yes	—
1116	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1117	C₂×D₄	C₂⁴×C₃	1	4	yes	—
1118	C₂×D₄	C₂⁴×C₃	1	8	yes	—
1119	C₂²×C₄	—	4	2	no	—
1120	C₂²×C₄	—	4	2	no	—
1121	C₂²×C₄	—	4	4	no	—
1122	C₂²×C₄	—	8	2	no	—
1123	C₂²×C₄	—	8	2	no	—
1124	C₂²×C₄	—	8	4	no	—
1125	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1126	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1127	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1129	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1131	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1132	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1134	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1135	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1136	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1138	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1140	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1141	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1142	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1143	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1144	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1145	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1146	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1147	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1148	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
1149	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1150	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1151	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
1152	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1153	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
1154	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1155	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1156	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1157	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1158	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1159	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1160	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1161	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1162	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1163	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1164	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1165	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1166	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1167	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1168	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1169	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1170	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1171	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1172	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1173	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1174	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1175	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1176	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1177	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1178	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1179	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1180	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1181	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1182	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1183	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1184	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1185	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1186	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1187	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1188	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1189	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1190	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1191	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1192	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1193	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1194	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
1195	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
1196	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1197	C₄⋊C₄	C₂⁴×C₃	1	4	yes	—
1198	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1199	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1200	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1201	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1202	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1203	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1204	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1205	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1206	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1207	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1208	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1209	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1210	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1211	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1212	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1213	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1214	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1215	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1216	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1217	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1218	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1219	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1220	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1221	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1222	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1223	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1224	C₂²⋊C₄	C₂⁴×C₃	1	8	yes	—
1225	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1226	C₂²⋊C₄	C₂⁴×C₃	1	4	yes	—
1227	C₄²	C₂⁴×C₃	1	4	yes	—
1228	C₄²	C₂⁴×C₃	1	8	yes	—
1229	C₄²	C₂⁴×C₃	1	2	yes	—
1230	C₄²	C₂⁴×C₃	1	4	yes	—
1231	C₄²	C₂⁴×C₃	1	4	yes	—
1232	C₄²	C₂⁴×C₃	1	4	yes	—
1233	C₄²	C₂⁴×C₃	1	2	yes	—
1234	C₄²	C₂⁴×C₃	1	8	yes	—
1235	C₄²	C₂⁴×C₃	1	8	yes	—
1236	C₄²	C₂⁴×C₃	1	8	yes	—
1237	C₄²	C₂⁴×C₃	1	8	yes	—
1238	C₂²×C₃	—	2	2	no	—
1239	C₂²×C₃	—	2	1	no	—
1240	C₂²×C₃	—	2	2	no	—
1241	C₂²×C₃	—	2	1	no	—
1242	C₂²×C₃	—	2	4	no	—
1243	C₂²×C₃	—	2	2	no	—
1244	C₂²×C₃	—	2	4	no	—
1245	C₂²×C₃	—	2	2	no	—
1246	C₂²×C₃	—	2	4	no	—
1247	C₂²×C₃	—	2	4	no	—
1248	C₂²×C₃	—	2	4	no	—
1249	C₂²×C₃	—	2	4	no	—
1250	C₂²×C₃	—	2	2	no	—
1251	C₂²×C₃	—	4	4	no	—
1252	C₂²×C₃	—	4	8	no	—
1253	C₂²×C₃	—	8	2	no	—
1254	C₂²×C₃	—	8	4	no	—
1255	C₂²×C₃	C₂×2₋¹⁺⁴	1	2	yes	—
1256	C₂²×C₃	C₂×2₋¹⁺⁴	1	4	yes	—
1257	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1258	C₃×C₄	—	2	4	no	—
1259	C₃×C₄	—	2	2	no	—
1260	C₃×C₄	—	2	4	no	—
1261	C₃×C₄	—	2	1	no	—
1262	C₃×C₄	—	2	4	no	—
1263	C₃×C₄	—	2	2	no	—
1264	C₃×C₄	—	2	2	no	—
1265	C₃×C₄	—	2	8	no	—
1266	C₃×C₄	—	2	2	no	—
1267	C₃×C₄	—	2	4	no	—
1268	C₃×C₄	—	2	2	no	—
1269	C₃×C₄	—	2	8	no	—
1270	C₃×C₄	—	2	2	no	—
1271	C₃×C₄	—	2	4	no	—
1272	C₃×C₄	#585	1	2	yes	—
1273	C₂³	—	2	4	no	—
1274	C₂³	—	2	2	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	4	1	no	—
1277	C₂³	—	4	2	no	—
1278	C₂³	—	4	1	no	—
1279	C₂³	—	4	2	no	—
1280	C₂³	—	4	1	no	—
1281	C₂³	—	4	2	no	—
1282	C₂³	—	4	2	no	—
1283	C₂³	—	4	1	no	—
1284	C₂³	C₃×2₋¹⁺⁴	1	4	yes	—
1285	C₂³	C₂⁵×C₃	1	2	yes	—
1286	C₂³	C₂⁵×C₃	1	4	yes	—
1287	C₂³	C₂⁵×C₃	1	4	yes	—
1288	C₂³	C₂⁵×C₃	1	1	yes	characteristic
1289	C₂³	C₂⁵×C₃	1	2	yes	—
1290	Q₈	—	2	8	no	—
1291	Q₈	—	4	4	no	—
1292	Q₈	—	4	4	no	—
1293	Q₈	—	4	8	no	—
1294	Q₈	—	4	2	no	—
1295	Q₈	—	4	8	no	—
1296	Q₈	—	4	4	no	—
1297	Q₈	—	4	2	no	—
1298	D₄	—	2	8	no	—
1299	D₄	—	2	8	no	—
1300	D₄	—	2	8	no	—
1301	D₄	—	2	16	no	—
1302	D₄	—	2	4	no	—
1303	D₄	—	4	2	no	—
1304	D₄	—	4	8	no	—
1305	D₄	—	4	4	no	—
1306	D₄	—	4	2	no	—
1307	D₄	—	4	8	no	—
1308	D₄	—	4	2	no	—
1309	D₄	—	4	8	no	—
1310	D₄	—	4	4	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	4	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	8	no	—
1318	C₂×C₄	—	4	2	no	—
1319	C₂×C₄	—	4	2	no	—
1320	C₂×C₄	—	4	2	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	4	4	no	—
1325	C₂×C₄	—	4	2	no	—
1326	C₂×C₄	—	4	1	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	8	no	—
1333	C₂×C₄	—	4	8	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	8	no	—
1338	C₂×C₄	—	4	8	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1341	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1342	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1343	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1344	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1345	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1346	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1347	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1348	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1349	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1350	C₂×C₄	C₂⁵×C₃	1	2	yes	—
1351	C₂×C₄	C₂⁵×C₃	1	8	yes	—
1352	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1353	C₂×C₄	C₂⁵×C₃	1	4	yes	—
1354	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1355	C₂×C₃	—	2	4	no	—
1356	C₂×C₃	—	2	2	no	—
1357	C₂×C₃	—	4	4	no	—
1358	C₂×C₃	—	4	2	no	—
1359	C₂×C₃	—	4	4	no	—
1360	C₂×C₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1361	C₂×C₃	C₂×#585	1	1	yes	characteristic
1362	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	4	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	4	4	no	—
1377	C₂²	—	4	8	no	—
1378	C₂²	—	8	2	no	—
1379	C₂²	—	8	4	no	—
1380	C₂²	C₂×C₃×2₋¹⁺⁴	1	2	yes	—
1381	C₂²	C₂×C₃×2₋¹⁺⁴	1	4	yes	—
1382	C₂²	C₂⁶×C₃	1	1	yes	characteristic
1383	C₄	—	2	4	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	1	no	—
1387	C₄	—	2	4	no	—
1388	C₄	—	2	2	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	8	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	4	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	8	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	4	no	—
1397	C₄	C₃×#585	1	2	yes	—
1398	C₃	#62902	1	1	yes	characteristic, direct product factor, Sylow
1399	C₂	—	2	4	no	—
1400	C₂	—	2	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	C₂²×C₃×2₋¹⁺⁴	1	1	yes	characteristic
1405	C₂	C₂×C₃×#585	1	1	yes	characteristic
1406	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×#3564	C₂	semidirect
2. C₃×#3563	C₂	semidirect
3. C₃×#3553	C₂	semidirect
4. C₃×#3552	C₂	semidirect
5. C₃×#3541	C₂	semidirect
6. C₃×#3541	C₂	semidirect
7. C₃×#3536	C₂	semidirect
8. C₃×#3535	C₂	semidirect
9. C₃×#3520	C₂	semidirect
10. C₃×#3516	C₂	semidirect
11. C₃×#3505	C₂	semidirect
12. C₃×#3505	C₂	semidirect
13. C₃×#3501	C₂	semidirect
14. C₃×#3501	C₂	semidirect
15. C₃×#3495	C₂	semidirect
16. C₃×#3492	C₂	semidirect
17. C₂×C₃×#554	C₂	semidirect
18. C₂×C₃×#553	C₂	semidirect
19. C₃×#3459	C₂	semidirect
20. C₃×#3459	C₂	semidirect
21. #62902	C₃	direct (N × H)
22. C₃×#564	C₂²	semidirect
23. C₃×#563	C₂²	semidirect
24. C₃×#563	C₂²	semidirect
25. C₃×#563	C₂²	semidirect
26. C₃×#563	C₂²	semidirect
27. C₃×#562	C₂²	semidirect
28. C₃×#562	C₂²	semidirect
29. C₃×#557	C₂²	semidirect
30. C₃×#556	C₂²	semidirect
31. C₃×#556	C₂²	semidirect
32. C₃×#556	C₂²	semidirect
33. C₃×#554	C₂²	semidirect
34. C₃×#554	C₂²	semidirect
35. C₃×#554	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×#554	C₂²	semidirect
42. C₃×#554	C₂²	semidirect
43. C₃×#554	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×#553	C₂²	semidirect
52. C₃×#552	C₂²	semidirect
53. C₃×#552	C₂²	semidirect
54. C₃×#552	C₂²	semidirect
55. C₃×#552	C₂²	semidirect
56. C₃×#552	C₂²	semidirect
57. C₃×#552	C₂²	semidirect
58. C₃×#552	C₂²	semidirect
59. C₃×#552	C₂²	semidirect
60. C₃×#551	C₂²	semidirect
61. C₃×#551	C₂²	semidirect
62. C₃×#551	C₂²	semidirect
63. C₃×D₄×Q₈	C₂²	semidirect
64. C₃×D₄×Q₈	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×#546	C₂²	semidirect
75. C₃×#546	C₂²	semidirect
76. C₃×#544	C₂²	semidirect
77. C₃×#544	C₂²	semidirect
78. C₃×#544	C₂²	semidirect
79. C₃×#544	C₂²	semidirect
82. C₃×#543	C₂²	semidirect
83. C₃×#543	C₂²	semidirect
84. C₃×#542	C₂²	semidirect
85. C₃×#542	C₂²	semidirect
86. C₃×#542	C₂²	semidirect
87. C₃×#542	C₂²	semidirect
88. C₃×#542	C₂²	semidirect
89. C₃×#541	C₂²	semidirect
90. C₃×#541	C₂²	semidirect
91. C₃×#541	C₂²	semidirect
92. C₃×#541	C₂²	semidirect
93. C₃×#541	C₂²	semidirect
96. C₃×#539	C₂²	semidirect
97. C₃×#539	C₂²	semidirect
98. C₃×#539	C₂²	semidirect
99. C₃×#539	C₂²	semidirect
100. C₃×#539	C₂²	semidirect
101. C₃×#539	C₂²	semidirect
102. C₃×#539	C₂²	semidirect
103. C₃×#539	C₂²	semidirect
104. C₃×#539	C₂²	semidirect
107. C₃×#538	C₂²	semidirect
108. C₃×#538	C₂²	semidirect
109. C₃×#538	C₂²	semidirect
110. C₃×#538	C₂²	semidirect
111. C₃×#537	C₂²	semidirect
112. C₃×#537	C₂²	semidirect
113. C₃×#536	C₂²	semidirect
114. C₃×#536	C₂²	semidirect
118. C₃×#533	C₂²	semidirect
119. C₃×#533	C₂²	semidirect
120. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
123. C₃×#529	C₂²	semidirect
124. C₃×#529	C₂²	semidirect
125. C₃×#529	C₂²	semidirect
126. C₃×#529	C₂²	semidirect
127. C₂×C₃×#126	C₂²	semidirect
128. C₂×C₃×#125	C₂²	semidirect
129. C₂×C₃×#125	C₂²	semidirect
132. C₃×#525	C₂²	semidirect
133. C₃×#525	C₂²	semidirect
134. C₃×#525	C₂²	semidirect
135. C₃×#525	C₂²	semidirect
136. C₂×C₃×#123	C₂²	semidirect
139. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
140. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
141. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
142. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
145. C₂×C₃×#121	C₂²	semidirect
146. C₃×#520	C₂²	semidirect
147. C₃×#520	C₂²	semidirect
148. C₃×#519	C₂²	semidirect
151. C₂×C₃×C₄×Q₈	C₂²	semidirect
156. C₂×C₃×C₄×D₄	C₂²	semidirect
157. C₂×C₃×#117	C₂²	semidirect
159. C₂²×C₃×C₄⋊C₄	C₂²	semidirect
160. #3564	C₂×C₃	semidirect
161. #3563	C₂×C₃	semidirect
162. #3553	C₂×C₃	semidirect
163. #3552	C₂×C₃	semidirect
164. #3541	C₂×C₃	semidirect
165. #3541	C₂×C₃	semidirect
166. #3536	C₂×C₃	semidirect
167. #3535	C₂×C₃	semidirect
168. #3520	C₂×C₃	semidirect
169. #3516	C₂×C₃	semidirect
170. #3505	C₂×C₃	semidirect
171. #3505	C₂×C₃	semidirect
172. #3501	C₂×C₃	semidirect
173. #3501	C₂×C₃	semidirect
174. #3495	C₂×C₃	semidirect
175. #3492	C₂×C₃	semidirect
176. C₂×#554	C₂×C₃	semidirect
177. C₂×#553	C₂×C₃	semidirect
178. #3459	C₂×C₃	semidirect
179. #3459	C₂×C₃	semidirect
442. #564	C₂²×C₃	semidirect
443. #563	C₂²×C₃	semidirect
444. #563	C₂²×C₃	semidirect
445. #563	C₂²×C₃	semidirect
446. #563	C₂²×C₃	semidirect
447. #562	C₂²×C₃	semidirect
448. #562	C₂²×C₃	semidirect
449. #557	C₂²×C₃	semidirect
450. #556	C₂²×C₃	semidirect
451. #556	C₂²×C₃	semidirect
452. #556	C₂²×C₃	semidirect
453. #554	C₂²×C₃	semidirect
454. #554	C₂²×C₃	semidirect
455. #554	C₂²×C₃	semidirect
456. #554	C₂²×C₃	semidirect
457. #554	C₂²×C₃	semidirect
458. #554	C₂²×C₃	semidirect
459. #554	C₂²×C₃	semidirect
460. #554	C₂²×C₃	semidirect
461. #554	C₂²×C₃	semidirect
462. #554	C₂²×C₃	semidirect
463. #554	C₂²×C₃	semidirect
464. #553	C₂²×C₃	semidirect
465. #553	C₂²×C₃	semidirect
466. #553	C₂²×C₃	semidirect
467. #553	C₂²×C₃	semidirect
468. #553	C₂²×C₃	semidirect
469. #553	C₂²×C₃	semidirect
470. #553	C₂²×C₃	semidirect
471. #553	C₂²×C₃	semidirect
472. #552	C₂²×C₃	semidirect
473. #552	C₂²×C₃	semidirect
474. #552	C₂²×C₃	semidirect
475. #552	C₂²×C₃	semidirect
476. #552	C₂²×C₃	semidirect
477. #552	C₂²×C₃	semidirect
478. #552	C₂²×C₃	semidirect
479. #552	C₂²×C₃	semidirect
480. #551	C₂²×C₃	semidirect
481. #551	C₂²×C₃	semidirect
482. #551	C₂²×C₃	semidirect
483. D₄×Q₈	C₂²×C₃	semidirect
484. D₄×Q₈	C₂²×C₃	semidirect
485. D₄×Q₈	C₂²×C₃	semidirect
486. #548	C₂²×C₃	semidirect
487. #548	C₂²×C₃	semidirect
488. #548	C₂²×C₃	semidirect
489. #548	C₂²×C₃	semidirect
490. #547	C₂²×C₃	semidirect
491. #547	C₂²×C₃	semidirect
492. #547	C₂²×C₃	semidirect
493. #547	C₂²×C₃	semidirect
494. #546	C₂²×C₃	semidirect
495. #546	C₂²×C₃	semidirect
496. #544	C₂²×C₃	semidirect
497. #544	C₂²×C₃	semidirect
498. #544	C₂²×C₃	semidirect
499. #544	C₂²×C₃	semidirect
502. #543	C₂²×C₃	semidirect
503. #543	C₂²×C₃	semidirect
504. #542	C₂²×C₃	semidirect
505. #542	C₂²×C₃	semidirect
506. #542	C₂²×C₃	semidirect
507. #542	C₂²×C₃	semidirect
508. #542	C₂²×C₃	semidirect
509. #541	C₂²×C₃	semidirect
510. #541	C₂²×C₃	semidirect
511. #541	C₂²×C₃	semidirect
512. #541	C₂²×C₃	semidirect
513. #541	C₂²×C₃	semidirect
516. #539	C₂²×C₃	semidirect
517. #539	C₂²×C₃	semidirect
518. #539	C₂²×C₃	semidirect
519. #539	C₂²×C₃	semidirect
520. #539	C₂²×C₃	semidirect
521. #539	C₂²×C₃	semidirect
522. #539	C₂²×C₃	semidirect
523. #539	C₂²×C₃	semidirect
524. #539	C₂²×C₃	semidirect
527. #538	C₂²×C₃	semidirect
528. #538	C₂²×C₃	semidirect
529. #538	C₂²×C₃	semidirect
530. #538	C₂²×C₃	semidirect
531. #537	C₂²×C₃	semidirect
532. #537	C₂²×C₃	semidirect
533. #536	C₂²×C₃	semidirect
534. #536	C₂²×C₃	semidirect
538. #533	C₂²×C₃	semidirect
539. #533	C₂²×C₃	semidirect
540. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
543. #529	C₂²×C₃	semidirect
544. #529	C₂²×C₃	semidirect
545. #529	C₂²×C₃	semidirect
546. #529	C₂²×C₃	semidirect
547. C₂×#126	C₂²×C₃	semidirect
548. C₂×#125	C₂²×C₃	semidirect
549. C₂×#125	C₂²×C₃	semidirect
552. #525	C₂²×C₃	semidirect
553. #525	C₂²×C₃	semidirect
554. #525	C₂²×C₃	semidirect
555. #525	C₂²×C₃	semidirect
556. C₂×#123	C₂²×C₃	semidirect
559. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
560. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
561. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
562. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
565. C₂×#121	C₂²×C₃	semidirect
566. #520	C₂²×C₃	semidirect
567. #520	C₂²×C₃	semidirect
568. #519	C₂²×C₃	semidirect
571. C₂×C₄×Q₈	C₂²×C₃	semidirect
576. C₂×C₄×D₄	C₂²×C₃	semidirect
577. C₂×#117	C₂²×C₃	semidirect
579. C₂²×C₄⋊C₄	C₂²×C₃	semidirect
1398. C₃	#62902	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×#3564	2
C₃×#3563	2
C₃×#3553	2
C₃×#3552	2
C₃×#3541	2
C₃×#3536	2
C₃×#3535	2
C₃×#3520	2
C₃×#3516	2
C₃×#3505	2
C₃×#3501	2
C₃×#3495	2
C₃×#3492	2
C₂×C₃×#554	2
C₂×C₃×#553	2
C₃×#3459	2
#62902	3

Subgroups — C3×#62902 #10681509

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#62902 #10681509