Subgroups — #11707698

Order 768.

8808 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3532	C₂	1	1	yes	maximal, characteristic, complemented
2	#87090	C₂	1	1	yes	maximal, characteristic, complemented
3	#87087	C₂	1	1	yes	maximal, characteristic, complemented
4	#87083	C₂	1	3	yes	maximal, complemented
5	#87071	C₂	1	3	yes	maximal, complemented
6	#86818	C₂	1	3	yes	maximal, complemented
7	#86791	C₂	1	3	yes	maximal, complemented
8	#86662	C₂	1	6	yes	maximal, complemented
9	#86639	C₂	1	6	yes	maximal, complemented
10	D₃×D₄²	C₂	1	3	yes	maximal, complemented
11	#86614	C₂	1	3	yes	maximal, complemented
12	#86417	C₂	1	6	yes	maximal, complemented
13	#86396	C₂	1	6	yes	maximal, complemented
14	#86333	C₂	1	3	yes	maximal, complemented
15	#86316	C₂	1	3	yes	maximal, complemented
16	#86308	C₂	1	3	yes	maximal, complemented
17	#86303	C₂	1	3	yes	maximal, complemented
18	#85919	C₂	1	3	yes	maximal, complemented
19	C₂×#5590	C₂	1	3	yes	maximal, complemented
20	#63011	—	3	1	no	maximal, Sylow
21	C₂³×#67	C₂²	1	3	yes	complemented
22	C₂×#1009	C₂²	1	3	yes	complemented
23	C₂×#1004	C₂²	1	3	yes	complemented
24	C₂²×D₃×D₄	C₂²	1	3	yes	complemented
25	C₂²×D₃×D₄	C₂²	1	6	yes	complemented
26	C₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
27	C₃×#560	C₂²	1	3	yes	complemented
28	C₃×#551	C₂²	1	3	yes	complemented
29	C₃×#546	C₂²	1	6	yes	complemented
30	C₃×D₄²	C₂²	1	3	yes	complemented
31	C₃×#538	C₂²	1	6	yes	complemented
32	C₃×#535	C₂²	1	3	yes	complemented
33	C₃×#534	C₂²	1	3	yes	complemented
34	C₂×C₃×#120	C₂²	1	3	yes	complemented
35	C₂×#953	C₂²	1	1	yes	characteristic, complemented
36	#5832	C₂²	1	3	yes	complemented
37	#5829	C₂²	1	6	yes	complemented
38	#5804	C₂²	1	3	yes	complemented
39	#5804	C₂²	1	3	yes	complemented
40	C₂×#940	C₂²	1	3	yes	complemented
41	C₂×#939	C₂²	1	6	yes	complemented
42	D₄×#67	C₂²	1	6	yes	complemented
43	D₄×#67	C₂²	1	6	yes	complemented
44	D₄×#67	C₂²	1	6	yes	complemented
45	C₂×#937	C₂²	1	3	yes	complemented
46	#5720	C₂²	1	3	yes	complemented
47	#5717	C₂²	1	3	yes	complemented
48	#5715	C₂²	1	3	yes	complemented
49	#5715	C₂²	1	3	yes	complemented
50	D₃×#127	C₂²	1	3	yes	complemented
51	D₃×#127	C₂²	1	1	yes	characteristic, complemented
52	#5711	C₂²	1	6	yes	complemented
53	#5711	C₂²	1	2	yes	complemented
54	#5709	C₂²	1	6	yes	complemented
55	#5709	C₂²	1	6	yes	complemented
56	#5706	C₂²	1	6	yes	complemented
57	#5704	C₂²	1	6	yes	complemented
58	#5683	C₂²	1	3	yes	complemented
59	#5679	C₂²	1	3	yes	complemented
60	#5678	C₂²	1	6	yes	complemented
61	#5678	C₂²	1	6	yes	complemented
62	#5676	C₂²	1	6	yes	complemented
63	#5674	C₂²	1	3	yes	complemented
64	#5674	C₂²	1	3	yes	complemented
65	#5674	C₂²	1	6	yes	complemented
66	#5670	C₂²	1	6	yes	complemented
67	#5668	C₂²	1	3	yes	complemented
68	#5668	C₂²	1	3	yes	complemented
69	#5666	C₂²	1	3	yes	complemented
70	#5664	C₂²	1	3	yes	complemented
71	#5663	C₂²	1	6	yes	complemented
72	#5663	C₂²	1	6	yes	complemented
73	#5661	C₂²	1	6	yes	complemented
74	#5656	C₂²	1	3	yes	complemented
75	#5656	C₂²	1	3	yes	complemented
76	#5654	C₂²	1	6	yes	complemented
77	#5654	C₂²	1	6	yes	complemented
78	#5654	C₂²	1	6	yes	complemented
79	#5653	C₂²	1	6	yes	complemented
80	#5653	C₂²	1	6	yes	complemented
81	#5653	C₂²	1	3	yes	complemented
82	#5653	C₂²	1	3	yes	complemented
83	#5649	C₂²	1	6	yes	complemented
84	#5644	C₂²	1	6	yes	complemented
85	#5636	C₂²	1	6	yes	complemented
86	#5630	C₂²	1	6	yes	complemented
87	#5627	C₂²	1	6	yes	complemented
88	#5620	C₂²	1	6	yes	complemented
89	#5620	C₂²	1	6	yes	complemented
90	#5615	C₂²	1	6	yes	complemented
91	#5615	C₂²	1	6	yes	complemented
92	#5613	C₂²	1	6	yes	complemented
93	#5610	C₂²	1	6	yes	complemented
94	#5610	C₂²	1	6	yes	complemented
95	#5609	C₂²	1	6	yes	complemented
96	#5609	C₂²	1	6	yes	complemented
97	#5609	C₂²	1	6	yes	complemented
98	#5609	C₂²	1	6	yes	complemented
99	#5609	C₂²	1	6	yes	complemented
100	#5607	C₂²	1	6	yes	complemented
101	#5605	C₂²	1	6	yes	complemented
102	#5605	C₂²	1	6	yes	complemented
103	D₃×#121	C₂²	1	6	yes	complemented
104	D₃×#121	C₂²	1	6	yes	complemented
105	#5601	C₂²	1	6	yes	complemented
106	#5599	C₂²	1	6	yes	complemented
107	#5599	C₂²	1	6	yes	complemented
108	#5595	C₂²	1	3	yes	complemented
109	#5593	C₂²	1	6	yes	complemented
110	#5592	C₂²	1	3	yes	complemented
111	#5592	C₂²	1	3	yes	complemented
112	#5592	C₂²	1	3	yes	complemented
113	#5592	C₂²	1	3	yes	complemented
114	#5591	C₂²	1	6	yes	complemented
115	#5591	C₂²	1	6	yes	complemented
116	#5590	C₂²	1	3	yes	complemented
117	#5590	C₂²	1	6	yes	complemented
118	#5590	C₂²	1	6	yes	complemented
119	#5590	C₂²	1	6	yes	complemented
120	#5590	C₂²	1	6	yes	complemented
121	#5590	C₂²	1	6	yes	complemented
122	#5590	C₂²	1	6	yes	complemented
123	#5590	C₂²	1	3	yes	complemented
124	#5590	C₂²	1	6	yes	complemented
125	#5590	C₂²	1	3	yes	complemented
126	#5590	C₂²	1	3	yes	complemented
127	#5590	C₂²	1	3	yes	complemented
128	#5590	C₂²	1	6	yes	complemented
129	#5590	C₂²	1	6	yes	complemented
130	#5590	C₂²	1	6	yes	complemented
131	#5589	C₂²	1	3	yes	complemented
132	#5589	C₂²	1	3	yes	complemented
133	D₃×#120	C₂²	1	6	yes	complemented
134	D₃×#120	C₂²	1	3	yes	complemented
135	D₃×#120	C₂²	1	3	yes	complemented
136	D₃×#120	C₂²	1	1	yes	characteristic, complemented
137	D₃×#120	C₂²	1	3	yes	complemented
138	#5586	C₂²	1	3	yes	complemented
139	#5586	C₂²	1	3	yes	complemented
140	#5560	C₂²	1	6	yes	complemented
141	D₄×D₁₂	C₂²	1	6	yes	complemented
142	D₄×D₁₂	C₂²	1	6	yes	complemented
143	#5547	C₂²	1	6	yes	complemented
144	#5545	C₂²	1	6	yes	complemented
145	C₄×D₃×D₄	C₂²	1	6	yes	complemented
146	#5540	C₂²	1	6	yes	complemented
147	#5540	C₂²	1	6	yes	complemented
148	#5527	C₂²	1	6	yes	complemented
149	#5525	C₂²	1	3	yes	complemented
150	#5522	C₂²	1	3	yes	complemented
151	#5493	C₂²	1	3	yes	complemented
152	#5490	C₂²	1	6	yes	complemented
153	#5490	C₂²	1	6	yes	complemented
154	#5490	C₂²	1	6	yes	complemented
155	C₂×#884	C₂²	1	6	yes	complemented
156	C₂×#882	C₂²	1	6	yes	complemented
157	C₂×#882	C₂²	1	3	yes	complemented
158	#5486	C₂²	1	3	yes	complemented
159	#5486	C₂²	1	3	yes	complemented
160	C₂×#67⋊C₄	C₂²	1	6	yes	complemented
161	#3549	—	3	1	no	—
162	#3543	—	3	3	no	—
163	#3543	—	3	3	no	—
164	#3537	—	3	3	no	—
165	#3537	—	3	3	no	—
166	#3537	—	3	6	no	—
167	#3532	—	3	1	no	—
168	#3532	—	3	3	no	—
169	#3532	—	3	3	no	—
170	#3532	D₃	1	1	yes	characteristic, complemented
171	#3519	—	3	6	no	—
172	#3519	—	3	6	no	—
173	#3498	—	3	3	no	—
174	#3484	—	3	6	no	—
175	#3484	—	3	3	no	—
176	#3484	—	3	3	no	—
177	#3481	—	3	3	no	—
178	C₂×D₄²	—	3	3	no	—
179	C₂×D₄²	—	3	3	no	—
180	C₂⁵×C₃	C₂³	1	1	yes	characteristic, complemented
181	C₂⁴×D₃	C₂³	1	3	yes	complemented
182	C₂⁴×D₃	C₂³	1	1	yes	characteristic, complemented
183	C₂⁴×D₃	C₂³	1	3	yes	complemented
184	C₂×C₃×#41	C₂³	1	3	yes	complemented
185	C₂²×C₃×D₄	C₂³	1	6	yes	complemented
186	C₂²×C₃×D₄	C₂³	1	3	yes	complemented
187	C₂²×C₃×D₄	C₂³	1	3	yes	complemented
188	C₂²×#67	—	4	12	no	—
189	C₂²×#67	C₂³	1	3	yes	—
190	C₂²×#67	C₂³	1	6	yes	—
191	C₂²×#67	C₂³	1	3	yes	—
192	C₂²×#67	C₂³	1	6	yes	complemented
193	C₂²×#67	C₂³	1	3	yes	complemented
194	C₂²×#67	C₂³	1	3	yes	complemented
195	C₂²×#67	C₂³	1	3	yes	complemented
196	C₂²×#67	C₂³	1	6	yes	complemented
197	C₂²×#67	C₂³	1	6	yes	complemented
198	C₂²×#67	C₂³	1	6	yes	complemented
199	C₂²×#67	C₂³	1	3	yes	complemented
200	C₂²×#67	C₂³	1	3	yes	complemented
201	C₂²×#67	C₂³	1	3	yes	complemented
202	C₂³×Dic₃	C₂³	1	3	yes	complemented
203	#1009	—	4	12	no	—
204	C₂×#239	C₂³	1	3	yes	complemented
205	C₂×#239	C₂³	1	3	yes	complemented
206	#1004	—	4	12	no	—
207	C₂×#237	C₂³	1	3	yes	complemented
208	C₂×#237	C₂³	1	3	yes	complemented
209	C₂×#237	C₂³	1	3	yes	complemented
210	C₂×#237	C₂³	1	3	yes	complemented
211	C₂×D₃×D₄	—	4	12	no	—
212	C₂×D₃×D₄	—	4	24	no	—
213	C₂×D₃×D₄	C₂³	1	6	yes	—
214	C₂×D₃×D₄	C₂³	1	6	yes	—
215	C₂×D₃×D₄	C₂³	1	3	yes	complemented
216	C₂×D₃×D₄	C₂³	1	6	yes	complemented
217	C₂×D₃×D₄	C₂³	1	6	yes	complemented
218	C₂×D₃×D₄	C₂³	1	3	yes	complemented
219	C₂×D₃×D₄	C₂³	1	6	yes	complemented
220	C₂×D₃×D₄	C₂³	1	6	yes	complemented
221	C₂×D₃×D₄	C₂³	1	6	yes	complemented
222	C₂×D₃×D₄	C₂³	1	3	yes	complemented
223	C₂×D₃×D₄	C₂³	1	6	yes	complemented
224	C₂×D₃×D₄	C₂³	1	6	yes	complemented
225	C₂×D₃×D₄	C₂³	1	6	yes	complemented
226	C₂×D₃×D₄	C₂³	1	6	yes	complemented
227	C₂×D₃×D₄	C₂³	1	3	yes	complemented
228	C₂×D₃×D₄	C₂³	1	3	yes	complemented
229	C₂×D₃×D₄	C₂³	1	3	yes	complemented
230	C₂×D₃×D₄	C₂³	1	6	yes	complemented
231	C₂×#235	C₂³	1	3	yes	—
232	C₂×#235	C₂³	1	3	yes	complemented
233	C₂×#235	C₂³	1	6	yes	complemented
234	C₂²×D₁₂	C₂³	1	3	yes	complemented
235	C₂²×D₁₂	C₂³	1	3	yes	complemented
236	C₂²×D₁₂	C₂³	1	6	yes	complemented
237	C₂²×D₁₂	C₂³	1	6	yes	complemented
238	C₂²×C₄×D₃	C₂³	1	3	yes	complemented
239	C₂²×C₄×D₃	C₂³	1	6	yes	complemented
240	C₃×#127	C₂³	1	3	yes	complemented
241	C₃×#127	C₂³	1	1	yes	characteristic, complemented
242	C₃×#126	C₂³	1	6	yes	complemented
243	C₃×#126	C₂³	1	2	yes	complemented
244	C₃×#124	C₂³	1	3	yes	complemented
245	C₃×#124	C₂³	1	6	yes	complemented
246	C₃×#124	C₂³	1	3	yes	complemented
247	C₃×#123	C₂³	1	6	yes	complemented
248	C₃×#123	C₂³	1	3	yes	complemented
249	C₃×#123	C₂³	1	6	yes	complemented
250	C₃×#123	C₂³	1	3	yes	complemented
251	C₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
252	C₃×#121	C₂³	1	6	yes	complemented
253	C₃×#121	C₂³	1	6	yes	complemented
254	C₃×#121	C₂³	1	6	yes	complemented
255	C₃×#121	C₂³	1	6	yes	complemented
256	C₃×#121	C₂³	1	6	yes	complemented
257	C₃×#120	C₂³	1	3	yes	—
258	C₃×#120	C₂³	1	3	yes	complemented
259	C₃×#120	C₂³	1	3	yes	complemented
260	C₃×#120	C₂³	1	3	yes	complemented
261	C₃×#120	C₂³	1	3	yes	complemented
262	C₃×#120	C₂³	1	6	yes	complemented
263	C₃×#120	C₂³	1	1	yes	characteristic, complemented
264	C₃×#120	C₂³	1	6	yes	complemented
265	C₃×#120	C₂³	1	6	yes	complemented
266	C₃×C₄×D₄	C₂³	1	6	yes	complemented
267	C₃×C₄×D₄	C₂³	1	6	yes	complemented
268	C₃×#117	C₂³	1	3	yes	complemented
269	C₂×C₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
270	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
271	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
272	#953	C₂³	1	3	yes	complemented
273	#953	C₂³	1	3	yes	complemented
274	#953	C₂³	1	6	yes	complemented
275	#953	C₂³	1	3	yes	complemented
276	#953	C₂³	1	1	yes	characteristic, complemented
277	#953	C₂³	1	1	yes	characteristic, complemented
278	#953	C₂³	1	1	yes	characteristic, complemented
279	C₂×#217	C₂³	1	3	yes	complemented
280	C₂×#217	C₂³	1	3	yes	complemented
281	#947	C₂³	1	3	yes	complemented
282	#947	C₂³	1	6	yes	complemented
283	#946	C₂³	1	6	yes	complemented
284	#944	C₂³	1	3	yes	complemented
285	#940	C₂³	1	3	yes	—
286	#940	C₂³	1	6	yes	complemented
287	#940	C₂³	1	6	yes	complemented
288	#940	C₂³	1	3	yes	complemented
289	#940	C₂³	1	3	yes	complemented
290	#940	C₂³	1	3	yes	complemented
291	#940	C₂³	1	6	yes	complemented
292	#940	C₂³	1	3	yes	complemented
293	#940	C₂³	1	6	yes	complemented
294	#940	C₂³	1	6	yes	complemented
295	#939	C₂³	1	6	yes	—
296	#939	C₂³	1	6	yes	complemented
297	#939	C₂³	1	6	yes	complemented
298	#939	C₂³	1	6	yes	complemented
299	#939	C₂³	1	6	yes	complemented
300	#939	C₂³	1	6	yes	complemented
301	#939	C₂³	1	6	yes	complemented
302	#939	C₂³	1	6	yes	complemented
303	#939	C₂³	1	6	yes	complemented
304	#939	C₂³	1	6	yes	complemented
305	#939	C₂³	1	6	yes	complemented
306	#939	C₂³	1	6	yes	complemented
307	#939	C₂³	1	6	yes	complemented
308	#939	C₂³	1	6	yes	complemented
309	#939	C₂³	1	6	yes	complemented
310	#939	C₂³	1	6	yes	complemented
311	#938	C₂³	1	6	yes	complemented
312	#938	C₂³	1	6	yes	complemented
313	#938	C₂³	1	6	yes	complemented
314	#937	C₂³	1	3	yes	—
315	#937	C₂³	1	3	yes	complemented
316	#937	C₂³	1	6	yes	complemented
317	#937	C₂³	1	3	yes	complemented
318	#937	C₂³	1	6	yes	complemented
319	#937	C₂³	1	3	yes	complemented
320	#937	C₂³	1	3	yes	complemented
321	#937	C₂³	1	6	yes	complemented
322	#937	C₂³	1	6	yes	complemented
323	#937	C₂³	1	6	yes	complemented
324	#937	C₂³	1	6	yes	complemented
325	#937	C₂³	1	6	yes	complemented
326	#937	C₂³	1	6	yes	complemented
327	#937	C₂³	1	6	yes	complemented
328	#937	C₂³	1	3	yes	complemented
329	#936	C₂³	1	3	yes	complemented
330	#935	C₂³	1	3	yes	complemented
331	#935	C₂³	1	6	yes	complemented
332	#935	C₂³	1	3	yes	complemented
333	D₄×Dic₃	C₂³	1	6	yes	complemented
334	D₄×Dic₃	C₂³	1	6	yes	complemented
335	#930	C₂³	1	6	yes	complemented
336	#930	C₂³	1	6	yes	complemented
337	#930	C₂³	1	6	yes	complemented
338	#930	C₂³	1	6	yes	complemented
339	#929	C₂³	1	6	yes	complemented
340	#929	C₂³	1	3	yes	complemented
341	#929	C₂³	1	3	yes	complemented
342	#929	C₂³	1	6	yes	complemented
343	C₄×#67	C₂³	1	6	yes	—
344	C₄×#67	C₂³	1	6	yes	complemented
345	C₄×#67	C₂³	1	6	yes	complemented
346	C₄×#67	C₂³	1	6	yes	complemented
347	C₄×#67	C₂³	1	6	yes	complemented
348	C₄×#67	C₂³	1	6	yes	complemented
349	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
350	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
351	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
352	C₂×Dic₃⋊C₄	C₂³	1	6	yes	complemented
353	C₂×C₄×Dic₃	C₂³	1	3	yes	complemented
354	#898	C₂³	1	6	yes	complemented
355	#898	C₂³	1	6	yes	complemented
356	#896	C₂³	1	6	yes	complemented
357	#896	C₂³	1	6	yes	complemented
358	#895	C₂³	1	6	yes	complemented
359	#895	C₂³	1	6	yes	complemented
360	#895	C₂³	1	6	yes	complemented
361	#895	C₂³	1	6	yes	complemented
362	#895	C₂³	1	6	yes	complemented
363	#895	C₂³	1	6	yes	complemented
364	#894	C₂³	1	6	yes	complemented
365	#894	C₂³	1	6	yes	complemented
366	#894	C₂³	1	6	yes	complemented
367	#894	C₂³	1	6	yes	complemented
368	#894	C₂³	1	6	yes	complemented
369	#894	C₂³	1	6	yes	complemented
370	#893	C₂³	1	6	yes	complemented
371	#893	C₂³	1	6	yes	complemented
372	#893	C₂³	1	6	yes	complemented
373	#892	C₂³	1	6	yes	complemented
374	D₃×C₄⋊C₄	C₂³	1	6	yes	complemented
375	#889	C₂³	1	6	yes	complemented
376	#889	C₂³	1	6	yes	complemented
377	#887	C₂³	1	6	yes	complemented
378	#886	C₂³	1	3	yes	complemented
379	#886	C₂³	1	6	yes	complemented
380	#886	C₂³	1	3	yes	complemented
381	#885	C₂³	1	6	yes	complemented
382	#885	C₂³	1	6	yes	complemented
383	#885	C₂³	1	6	yes	complemented
384	#885	C₂³	1	6	yes	complemented
385	#884	C₂³	1	6	yes	—
386	#884	C₂³	1	6	yes	complemented
387	#884	C₂³	1	6	yes	complemented
388	#884	C₂³	1	6	yes	complemented
389	#884	C₂³	1	6	yes	complemented
390	#884	C₂³	1	6	yes	complemented
391	#884	C₂³	1	6	yes	complemented
392	#884	C₂³	1	6	yes	complemented
393	#884	C₂³	1	6	yes	complemented
394	#884	C₂³	1	6	yes	complemented
395	#884	C₂³	1	6	yes	complemented
396	#884	C₂³	1	6	yes	complemented
397	#884	C₂³	1	6	yes	complemented
398	#884	C₂³	1	6	yes	complemented
399	#884	C₂³	1	6	yes	complemented
400	#884	C₂³	1	6	yes	complemented
401	#884	C₂³	1	6	yes	complemented
402	#884	C₂³	1	6	yes	complemented
403	#883	C₂³	1	6	yes	complemented
404	#883	C₂³	1	6	yes	complemented
405	#883	C₂³	1	6	yes	complemented
406	#883	C₂³	1	6	yes	complemented
407	#882	C₂³	1	6	yes	—
408	#882	C₂³	1	6	yes	complemented
409	#882	C₂³	1	6	yes	complemented
410	#882	C₂³	1	3	yes	complemented
411	#882	C₂³	1	3	yes	complemented
412	#882	C₂³	1	6	yes	complemented
413	#882	C₂³	1	6	yes	complemented
414	#882	C₂³	1	3	yes	complemented
415	#882	C₂³	1	6	yes	complemented
416	#882	C₂³	1	6	yes	complemented
417	#882	C₂³	1	6	yes	complemented
418	#882	C₂³	1	3	yes	complemented
419	#882	C₂³	1	6	yes	complemented
420	#882	C₂³	1	6	yes	complemented
421	#882	C₂³	1	6	yes	complemented
422	#882	C₂³	1	6	yes	complemented
423	#882	C₂³	1	3	yes	complemented
424	#882	C₂³	1	6	yes	complemented
425	#882	C₂³	1	6	yes	complemented
426	#882	C₂³	1	3	yes	complemented
427	#882	C₂³	1	6	yes	complemented
428	#67⋊C₄	C₂³	1	6	yes	—
429	#67⋊C₄	C₂³	1	6	yes	—
430	#67⋊C₄	C₂³	1	6	yes	complemented
431	#67⋊C₄	C₂³	1	6	yes	complemented
432	#67⋊C₄	C₂³	1	6	yes	complemented
433	#67⋊C₄	C₂³	1	6	yes	complemented
434	#67⋊C₄	C₂³	1	6	yes	complemented
435	#67⋊C₄	C₂³	1	6	yes	complemented
436	#67⋊C₄	C₂³	1	6	yes	complemented
437	#67⋊C₄	C₂³	1	6	yes	complemented
438	#67⋊C₄	C₂³	1	6	yes	complemented
439	#67⋊C₄	C₂³	1	6	yes	complemented
440	#67⋊C₄	C₂³	1	6	yes	complemented
441	#67⋊C₄	C₂³	1	6	yes	complemented
442	D₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
443	D₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
444	D₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
445	D₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
446	D₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
447	D₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
448	D₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
449	D₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
450	#879	C₂³	1	6	yes	complemented
451	#879	C₂³	1	6	yes	complemented
452	#878	C₂³	1	6	yes	complemented
453	#878	C₂³	1	6	yes	complemented
454	#877	C₂³	1	3	yes	complemented
455	#877	C₂³	1	3	yes	complemented
456	#877	C₂³	1	3	yes	complemented
457	#877	C₂³	1	3	yes	complemented
458	#876	C₂³	1	2	yes	complemented
459	#876	C₂³	1	6	yes	complemented
460	#875	C₂³	1	3	yes	complemented
461	#875	C₂³	1	3	yes	complemented
462	#874	C₂³	1	2	yes	complemented
463	#874	C₂³	1	1	yes	characteristic, complemented
464	#874	C₂³	1	3	yes	complemented
465	C₄×D₁₂	C₂³	1	6	yes	complemented
466	C₄×D₁₂	C₂³	1	6	yes	complemented
467	#872	C₂³	1	6	yes	complemented
468	#872	C₂³	1	3	yes	complemented
469	#872	C₂³	1	3	yes	complemented
470	C₄²×D₃	C₂³	1	1	yes	characteristic, complemented
471	C₄²×D₃	C₂³	1	3	yes	complemented
472	C₂×H(5,𝔽₂)	—	3	3	no	—
473	C₂×H(5,𝔽₂)	—	3	3	no	—
474	C₂³×D₄	—	3	3	no	—
475	C₂³×D₄	—	3	6	no	—
476	C₂³×D₄	—	3	3	no	—
477	H(3,𝔽₄)	—	3	3	no	—
478	H(3,𝔽₄)	C₂×D₃	1	1	yes	characteristic, complemented
479	#560	—	3	3	no	—
480	#560	—	3	6	no	—
481	#560	—	3	2	no	—
482	#560	—	3	3	no	—
483	#560	—	3	6	no	—
484	#560	—	3	6	no	—
485	#560	—	3	3	no	—
486	#560	C₂×D₃	1	3	yes	complemented
487	#559	—	3	3	no	—
488	#555	—	3	6	no	—
489	#554	—	3	6	no	—
490	#553	—	3	6	no	—
491	#553	—	3	6	no	—
492	#553	—	3	6	no	—
493	#553	—	3	6	no	—
494	#553	—	3	6	no	—
495	#553	—	3	6	no	—
496	#551	—	3	3	no	—
497	#551	—	3	6	no	—
498	#551	C₂×D₃	1	3	yes	complemented
499	#550	—	3	6	no	—
500	#550	—	3	6	no	—
501	#546	—	3	6	no	—
502	#546	—	3	6	no	—
503	#546	—	3	6	no	—
504	#546	—	3	6	no	—
505	#546	—	3	6	no	—
506	#546	—	3	6	no	—
507	#546	—	3	6	no	—
508	#546	—	3	6	no	—
509	#546	—	3	6	no	—
510	#546	—	3	6	no	—
511	#546	—	3	6	no	—
512	#546	—	3	6	no	—
513	#546	—	3	6	no	—
514	#546	C₂×D₃	1	6	yes	complemented
515	D₄²	—	3	6	no	—
516	D₄²	—	3	6	no	—
517	D₄²	—	3	6	no	—
518	D₄²	—	3	3	no	—
519	D₄²	—	3	6	no	—
520	D₄²	—	3	6	no	—
521	D₄²	—	3	6	no	—
522	D₄²	—	3	6	no	—
523	D₄²	—	3	6	no	—
524	D₄²	—	3	3	no	—
525	D₄²	—	3	3	no	—
526	D₄²	—	3	6	no	—
527	D₄²	—	3	6	no	—
528	D₄²	—	3	6	no	—
529	D₄²	—	3	6	no	—
530	D₄²	—	3	3	no	—
531	D₄²	—	3	6	no	—
532	D₄²	—	3	6	no	—
533	D₄²	—	3	6	no	—
534	D₄²	—	3	3	no	—
535	D₄²	—	3	3	no	—
536	D₄²	—	3	6	no	—
537	D₄²	—	3	6	no	—
538	D₄²	—	3	6	no	—
539	D₄²	—	3	6	no	—
540	D₄²	—	3	6	no	—
541	D₄²	C₂×D₃	1	3	yes	complemented
542	#540	—	3	6	no	—
543	#540	—	3	6	no	—
544	#540	—	3	6	no	—
545	#540	—	3	6	no	—
546	#538	—	3	6	no	—
547	#538	—	3	6	no	—
548	#538	—	3	6	no	—
549	#538	—	3	6	no	—
550	#538	—	3	6	no	—
551	#538	—	3	6	no	—
552	#538	—	3	6	no	—
553	#538	C₂×D₃	1	6	yes	complemented
554	#535	—	3	3	no	—
555	#535	—	3	3	no	—
556	#535	—	3	6	no	—
557	#535	—	3	3	no	—
558	#535	—	3	3	no	—
559	#535	—	3	6	no	—
560	#535	—	3	3	no	—
561	#535	—	3	3	no	—
562	#535	—	3	3	no	—
563	#535	—	3	3	no	—
564	#535	—	3	3	no	—
565	#535	C₂×D₃	1	3	yes	complemented
566	#534	—	3	3	no	—
567	#534	—	3	3	no	—
568	#534	—	3	3	no	—
569	#534	—	3	6	no	—
570	#534	—	3	3	no	—
571	#534	—	3	6	no	—
572	#534	—	3	6	no	—
573	#534	—	3	6	no	—
574	#534	—	3	3	no	—
575	#534	—	3	3	no	—
576	#534	—	3	3	no	—
577	#534	C₂×D₃	1	3	yes	complemented
578	#532	—	3	3	no	—
579	#532	—	3	3	no	—
580	#532	—	3	3	no	—
581	C₂×#127	—	3	3	no	—
582	C₂×#127	—	3	3	no	—
583	C₂×#127	—	3	1	no	—
584	#529	—	3	6	no	—
585	#529	—	3	6	no	—
586	#525	—	3	3	no	—
587	#525	—	3	3	no	—
588	#525	—	3	6	no	—
589	#525	—	3	3	no	—
590	#525	—	3	3	no	—
591	#525	—	3	6	no	—
592	C₂×#121	—	3	6	no	—
593	C₂×#121	—	3	6	no	—
594	C₂×#121	—	3	6	no	—
595	C₂×#121	—	3	6	no	—
596	C₂×#120	—	3	1	no	—
597	C₂×#120	—	3	3	no	—
598	C₂×#120	—	3	3	no	—
599	C₂×#120	—	3	3	no	—
600	C₂×#120	—	3	6	no	—
601	C₂×#120	—	3	3	no	—
602	C₂×#120	—	3	1	no	—
603	C₂×#120	—	3	6	no	—
604	C₂×#120	—	3	3	no	—
605	C₂×#120	C₂×D₃	1	3	yes	complemented
606	#518	—	3	6	no	—
607	#518	—	3	3	no	—
608	#518	—	3	3	no	—
609	C₄×#41	—	3	3	no	—
610	C₂×C₄×D₄	—	3	6	no	—
611	C₂×C₄×D₄	—	3	6	no	—
612	C₂⁴×C₃	—	4	6	no	—
613	C₂⁴×C₃	C₂⁴	1	3	yes	—
614	C₂⁴×C₃	C₂⁴	1	3	yes	—
615	C₂⁴×C₃	C₂⁴	1	3	yes	—
616	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
617	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
618	C₂³×D₃	—	4	12	no	—
619	C₂³×D₃	—	4	6	no	—
620	C₂³×D₃	—	4	6	no	—
621	C₂³×D₃	—	4	6	no	—
622	C₂³×D₃	—	4	12	no	—
623	C₂³×D₃	C₂⁴	1	3	yes	—
624	C₂³×D₃	C₂⁴	1	6	yes	—
625	C₂³×D₃	C₂⁴	1	3	yes	—
626	C₂³×D₃	C₂⁴	1	3	yes	—
627	C₂³×D₃	C₂⁴	1	6	yes	—
628	C₂³×D₃	C₂⁴	1	6	yes	—
629	C₂³×D₃	C₂⁴	1	3	yes	—
630	C₂³×D₃	C₂⁴	1	1	yes	characteristic
631	C₂³×D₃	C₂⁴	1	3	yes	—
632	C₂³×D₃	C₂⁴	1	3	yes	—
633	C₃×#41	—	4	6	no	—
634	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
635	C₂×C₃×D₄	—	4	6	no	—
636	C₂×C₃×D₄	—	4	6	no	—
637	C₂×C₃×D₄	—	4	12	no	—
638	C₂×C₃×D₄	C₂⁴	1	6	yes	—
639	C₂×C₃×D₄	C₂⁴	1	6	yes	—
640	C₂×C₃×D₄	C₂⁴	1	3	yes	—
641	C₂×C₃×D₄	C₂⁴	1	3	yes	—
642	C₂×C₃×D₄	C₂⁴	1	6	yes	—
643	C₂×C₃×D₄	C₂⁴	1	3	yes	—
644	C₂×C₃×D₄	C₂⁴	1	3	yes	—
645	C₂×C₃×D₄	C₂⁴	1	3	yes	—
646	C₂×C₃×D₄	C₂⁴	1	6	yes	—
647	C₂×C₃×D₄	C₂⁴	1	6	yes	—
648	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
649	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
650	C₂²×C₃×C₄	C₂⁴	1	6	yes	—
651	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
652	C₂×#67	—	2	12	no	—
653	C₂×#67	—	2	24	no	—
654	C₂×#67	—	2	12	no	—
655	C₂×#67	—	4	6	no	—
656	C₂×#67	—	4	12	no	—
657	C₂×#67	—	4	12	no	—
658	C₂×#67	—	4	6	no	—
659	C₂×#67	—	4	6	no	—
660	C₂×#67	—	4	12	no	—
661	C₂×#67	—	4	6	no	—
662	C₂×#67	—	4	6	no	—
663	C₂×#67	—	4	12	no	—
664	C₂×#67	—	4	6	no	—
665	C₂×#67	C₂⁴	1	6	yes	—
666	C₂×#67	C₂⁴	1	3	yes	—
667	C₂×#67	C₂⁴	1	3	yes	—
668	C₂×#67	C₂⁴	1	6	yes	—
669	C₂×#67	C₂⁴	1	6	yes	—
670	C₂×#67	C₂⁴	1	3	yes	—
671	C₂×#67	C₂⁴	1	3	yes	—
672	C₂×#67	C₂⁴	1	6	yes	—
673	C₂×#67	C₂⁴	1	6	yes	—
674	C₂×#67	C₂⁴	1	3	yes	—
675	C₂×#67	C₂⁴	1	3	yes	—
676	C₂×#67	C₂⁴	1	3	yes	—
677	C₂×#67	C₂⁴	1	6	yes	—
678	C₂×#67	C₂⁴	1	6	yes	—
679	C₂×#67	C₂⁴	1	3	yes	—
680	C₂×#67	C₂⁴	1	3	yes	—
681	C₂×#67	C₂⁴	1	6	yes	—
682	C₂×#67	C₂⁴	1	6	yes	—
683	C₂×#67	C₂⁴	1	6	yes	—
684	C₂×#67	C₂⁴	1	3	yes	—
685	C₂×#67	C₂⁴	1	3	yes	—
686	C₂×#67	C₂⁴	1	6	yes	—
687	C₂×#67	C₂⁴	1	6	yes	—
688	C₂×#67	C₂⁴	1	3	yes	—
689	C₂²×Dic₃	—	4	6	no	—
690	C₂²×Dic₃	C₂⁴	1	3	yes	—
691	C₂²×Dic₃	C₂⁴	1	3	yes	—
692	C₂²×Dic₃	C₂⁴	1	6	yes	—
693	C₂²×Dic₃	C₂⁴	1	6	yes	—
694	C₂²×Dic₃	C₂⁴	1	3	yes	—
695	C₂²×Dic₃	C₂⁴	1	3	yes	—
696	C₂²×Dic₃	C₂⁴	1	3	yes	—
697	#239	—	4	6	no	—
698	#239	—	4	6	no	—
699	#237	—	4	6	no	—
700	#237	—	4	6	no	—
701	#237	—	4	6	no	—
702	#237	—	4	6	no	—
703	D₃×D₄	—	2	24	no	—
704	D₃×D₄	—	2	24	no	—
705	D₃×D₄	—	4	12	no	—
706	D₃×D₄	—	4	12	no	—
707	D₃×D₄	—	4	12	no	—
708	D₃×D₄	—	4	6	no	—
709	D₃×D₄	—	4	6	no	—
710	D₃×D₄	—	4	6	no	—
711	D₃×D₄	—	4	6	no	—
712	D₃×D₄	—	4	12	no	—
713	D₃×D₄	—	4	12	no	—
714	D₃×D₄	—	4	12	no	—
715	D₃×D₄	—	4	6	no	—
716	D₃×D₄	—	4	6	no	—
717	D₃×D₄	—	4	12	no	—
718	D₃×D₄	—	4	12	no	—
719	D₃×D₄	—	4	12	no	—
720	D₃×D₄	—	4	12	no	—
721	#235	—	2	12	no	—
722	#235	—	4	12	no	—
723	#235	—	4	6	no	—
724	C₂×D₁₂	—	4	6	no	—
725	C₂×D₁₂	—	4	12	no	—
726	C₂×D₁₂	—	4	12	no	—
727	C₂×D₁₂	—	4	6	no	—
728	C₂×D₁₂	C₂⁴	1	6	yes	—
729	C₂×D₁₂	C₂⁴	1	6	yes	—
730	C₂×D₁₂	C₂⁴	1	3	yes	—
731	C₂×D₁₂	C₂⁴	1	3	yes	—
732	C₂×D₁₂	C₂⁴	1	3	yes	—
733	C₂×D₁₂	C₂⁴	1	3	yes	—
734	C₂×D₁₂	C₂⁴	1	6	yes	—
735	C₂×D₁₂	C₂⁴	1	6	yes	—
736	C₂×D₁₂	C₂⁴	1	6	yes	—
737	C₂×D₁₂	C₂⁴	1	6	yes	—
738	C₂×D₁₂	C₂⁴	1	6	yes	—
739	C₂×C₄×D₃	—	4	6	no	—
740	C₂×C₄×D₃	—	4	12	no	—
741	C₂×C₄×D₃	C₂⁴	1	3	yes	—
742	C₂×C₄×D₃	C₂⁴	1	3	yes	—
743	C₂×C₄×D₃	C₂⁴	1	6	yes	—
744	C₂×C₄×D₃	C₂⁴	1	6	yes	—
745	C₂×C₄×D₃	C₂⁴	1	6	yes	—
746	C₂×C₄×D₃	C₂⁴	1	6	yes	—
747	C₂×C₄×D₃	C₂⁴	1	6	yes	—
748	C₂×C₄×D₃	C₂⁴	1	6	yes	—
749	C₂×C₄×D₃	C₂⁴	1	3	yes	—
750	C₂×C₄×D₃	C₂⁴	1	3	yes	—
751	C₂×Dic₆	C₂⁴	1	3	yes	—
752	C₂×Dic₆	C₂⁴	1	3	yes	—
753	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
754	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
755	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
756	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
757	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
758	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
759	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
760	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
761	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
762	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
763	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
764	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
765	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
766	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
767	C₃×C₄²	C₂⁴	1	1	yes	characteristic
768	C₃×C₄²	C₂⁴	1	3	yes	—
769	C₃×C₄²	C₂⁴	1	2	yes	—
770	#217	C₂⁴	1	3	yes	—
771	#217	C₂⁴	1	3	yes	—
772	#217	C₂⁴	1	3	yes	—
773	#217	C₂⁴	1	3	yes	—
774	#217	C₂⁴	1	6	yes	—
775	#217	C₂⁴	1	6	yes	—
776	#217	C₂⁴	1	6	yes	—
777	#217	C₂⁴	1	6	yes	—
778	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
779	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
780	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
781	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
782	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
783	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
784	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
785	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
786	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
787	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
788	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
789	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
790	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
791	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
792	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
793	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
794	C₄⋊Dic₃	C₂⁴	1	6	yes	—
795	C₄⋊Dic₃	C₂⁴	1	6	yes	—
796	Dic₃⋊C₄	C₂⁴	1	6	yes	—
797	Dic₃⋊C₄	C₂⁴	1	6	yes	—
798	Dic₃⋊C₄	C₂⁴	1	6	yes	—
799	Dic₃⋊C₄	C₂⁴	1	6	yes	—
800	Dic₃⋊C₄	C₂⁴	1	6	yes	—
801	Dic₃⋊C₄	C₂⁴	1	6	yes	—
802	Dic₃⋊C₄	C₂⁴	1	6	yes	—
803	Dic₃⋊C₄	C₂⁴	1	6	yes	—
804	C₄×Dic₃	C₂⁴	1	3	yes	—
805	C₄×Dic₃	C₂⁴	1	6	yes	—
806	C₄×Dic₃	C₂⁴	1	3	yes	—
807	C₄×Dic₃	C₂⁴	1	6	yes	—
808	C₄×Dic₃	C₂⁴	1	6	yes	—
809	C₂⁵	—	3	1	no	—
810	C₂⁵	—	3	3	no	—
811	C₂⁵	—	3	3	no	—
812	C₂⁵	C₂²×D₃	1	1	yes	characteristic, complemented
813	H(5,𝔽₂)	—	12	12	no	—
814	H(5,𝔽₂)	—	12	12	no	—
815	C₂×#41	—	3	3	no	—
816	C₂×#41	—	3	3	no	—
817	C₂×#41	—	3	3	no	—
818	C₂×#41	—	3	3	no	—
819	C₂×#41	—	3	3	no	—
820	C₂×#41	—	3	3	no	—
821	C₂×#41	—	3	3	no	—
822	C₂×#41	—	3	6	no	—
823	C₂×#41	—	3	3	no	—
824	C₂×#41	C₂²×D₃	1	3	yes	complemented
825	C₂²×D₄	—	3	6	no	—
826	C₂²×D₄	—	3	3	no	—
827	C₂²×D₄	—	3	3	no	—
828	C₂²×D₄	—	3	6	no	—
829	C₂²×D₄	—	3	6	no	—
830	C₂²×D₄	—	3	3	no	—
831	C₂²×D₄	—	3	3	no	—
832	C₂²×D₄	—	3	6	no	—
833	C₂²×D₄	—	3	6	no	—
834	C₂²×D₄	—	3	3	no	—
835	C₂²×D₄	—	3	3	no	—
836	C₂²×D₄	—	3	3	no	—
837	C₂²×D₄	—	3	3	no	—
838	C₂²×D₄	—	3	6	no	—
839	C₂²×D₄	—	3	6	no	—
840	C₂²×D₄	—	3	3	no	—
841	C₂²×D₄	—	3	3	no	—
842	C₂²×D₄	—	3	6	no	—
843	C₂²×D₄	—	3	6	no	—
844	C₂²×D₄	—	3	6	no	—
845	C₂²×D₄	—	3	6	no	—
846	C₂²×D₄	—	3	3	no	—
847	C₂²×D₄	—	3	3	no	—
848	C₂²×D₄	—	3	6	no	—
849	C₂²×D₄	—	3	6	no	—
850	C₂²×D₄	—	3	6	no	—
851	C₂²×D₄	—	3	3	no	—
852	C₂²×D₄	—	3	3	no	—
853	C₂²×D₄	—	3	6	no	—
854	C₂²×D₄	—	3	6	no	—
855	C₂²×D₄	—	3	6	no	—
856	C₂²×D₄	—	3	3	no	—
857	C₂²×D₄	—	3	6	no	—
858	C₂²×D₄	—	3	6	no	—
859	C₂²×D₄	—	3	3	no	—
860	C₂²×D₄	—	12	12	no	—
861	C₂²×D₄	—	12	24	no	—
862	C₂²×D₄	—	12	12	no	—
863	C₂²×D₄	C₂²×D₃	1	3	yes	complemented
864	C₂²×D₄	C₂²×D₃	1	6	yes	complemented
865	C₂²×D₄	C₂²×D₃	1	3	yes	complemented
866	C₂³×C₄	—	3	3	no	—
867	C₂³×C₄	—	3	6	no	—
868	C₂³×C₄	—	3	3	no	—
869	C₄⋊Q₈	—	3	3	no	—
870	#127	—	3	3	no	—
871	#127	—	3	3	no	—
872	#127	—	3	3	no	—
873	#127	—	3	3	no	—
874	#127	—	3	3	no	—
875	#127	—	3	6	no	—
876	#127	—	3	6	no	—
877	#127	—	3	6	no	—
878	#127	—	3	6	no	—
879	#127	—	3	6	no	—
880	#127	—	3	1	no	—
881	#127	—	3	3	no	—
882	#127	—	3	2	no	—
883	#127	C₂²×D₃	1	1	yes	characteristic, complemented
884	#127	C₂²×D₃	1	3	yes	complemented
885	#126	—	3	6	no	—
886	#126	—	3	6	no	—
887	#126	—	3	6	no	—
888	#126	—	3	6	no	—
889	#126	—	3	6	no	—
890	#126	—	3	2	no	—
891	#126	C₂²×D₃	1	6	yes	complemented
892	#126	C₂²×D₃	1	2	yes	complemented
893	#125	—	3	6	no	—
894	#125	—	3	6	no	—
895	#124	—	3	3	no	—
896	#124	—	3	6	no	—
897	#124	—	3	3	no	—
898	#124	—	3	6	no	—
899	#124	—	3	6	no	—
900	#124	—	3	6	no	—
901	#124	—	3	6	no	—
902	#124	—	3	3	no	—
903	#124	—	3	3	no	—
904	#124	C₂²×D₃	1	3	yes	complemented
905	#124	C₂²×D₃	1	3	yes	complemented
906	#124	C₂²×D₃	1	6	yes	complemented
907	#123	—	3	3	no	—
908	#123	—	3	3	no	—
909	#123	—	3	6	no	—
910	#123	—	3	3	no	—
911	#123	—	3	3	no	—
912	#123	—	3	6	no	—
913	#123	—	3	6	no	—
914	#123	—	3	6	no	—
915	#123	—	3	6	no	—
916	#123	—	3	6	no	—
917	#123	—	3	6	no	—
918	#123	—	3	6	no	—
919	#123	—	3	6	no	—
920	#123	—	3	6	no	—
921	#123	—	3	3	no	—
922	#123	—	3	3	no	—
923	#123	—	3	6	no	—
924	#123	—	3	6	no	—
925	#123	—	3	6	no	—
926	#123	—	3	6	no	—
927	#123	C₂²×D₃	1	3	yes	complemented
928	#123	C₂²×D₃	1	3	yes	complemented
929	#123	C₂²×D₃	1	6	yes	complemented
930	#123	C₂²×D₃	1	6	yes	complemented
931	C₂²⋊Q₈	—	3	6	no	—
932	C₂²⋊Q₈	—	3	6	no	—
933	C₂²⋊Q₈	—	3	6	no	—
934	C₂²⋊Q₈	—	3	6	no	—
935	C₂²⋊Q₈	—	3	6	no	—
936	C₂²⋊Q₈	C₂²×D₃	1	6	yes	complemented
937	#121	—	3	6	no	—
938	#121	—	3	6	no	—
939	#121	—	3	6	no	—
940	#121	—	3	6	no	—
941	#121	—	3	6	no	—
942	#121	—	3	6	no	—
943	#121	—	3	6	no	—
944	#121	—	3	6	no	—
945	#121	—	3	6	no	—
946	#121	—	3	6	no	—
947	#121	—	3	6	no	—
948	#121	—	3	6	no	—
949	#121	—	3	6	no	—
950	#121	—	3	6	no	—
951	#121	—	3	6	no	—
952	#121	—	3	6	no	—
953	#121	—	3	6	no	—
954	#121	—	3	6	no	—
955	#121	—	3	6	no	—
956	#121	—	3	6	no	—
957	#121	—	3	6	no	—
958	#121	—	3	6	no	—
959	#121	—	3	6	no	—
960	#121	—	3	6	no	—
961	#121	—	3	6	no	—
962	#121	—	3	6	no	—
963	#121	—	3	6	no	—
964	#121	—	3	6	no	—
965	#121	—	3	6	no	—
966	#121	—	3	6	no	—
967	#121	—	3	6	no	—
968	#121	—	3	6	no	—
969	#121	—	3	6	no	—
970	#121	—	3	6	no	—
971	#121	—	3	6	no	—
972	#121	—	3	6	no	—
973	#121	—	3	6	no	—
974	#121	—	3	6	no	—
975	#121	—	3	6	no	—
976	#121	—	3	6	no	—
977	#121	—	3	6	no	—
978	#121	—	3	6	no	—
979	#121	—	3	6	no	—
980	#121	—	3	6	no	—
981	#121	—	3	6	no	—
982	#121	—	3	6	no	—
983	#121	—	3	6	no	—
984	#121	C₂²×D₃	1	6	yes	complemented
985	#121	C₂²×D₃	1	6	yes	complemented
986	#121	C₂²×D₃	1	6	yes	complemented
987	#121	C₂²×D₃	1	6	yes	complemented
988	#121	C₂²×D₃	1	6	yes	complemented
989	#120	—	3	3	no	—
990	#120	—	3	3	no	—
991	#120	—	3	1	no	—
992	#120	—	3	1	no	—
993	#120	—	3	1	no	—
994	#120	—	3	3	no	—
995	#120	—	3	6	no	—
996	#120	—	3	3	no	—
997	#120	—	3	6	no	—
998	#120	—	3	3	no	—
999	#120	—	3	3	no	—
1000	#120	—	3	3	no	—
1001	#120	—	3	6	no	—
1002	#120	—	3	3	no	—
1003	#120	—	3	3	no	—
1004	#120	—	3	6	no	—
1005	#120	—	3	6	no	—
1006	#120	—	3	6	no	—
1007	#120	—	3	6	no	—
1008	#120	—	3	6	no	—
1009	#120	—	3	6	no	—
1010	#120	—	3	6	no	—
1011	#120	—	3	6	no	—
1012	#120	—	3	3	no	—
1013	#120	—	3	3	no	—
1014	#120	—	3	6	no	—
1015	#120	—	3	6	no	—
1016	#120	—	3	3	no	—
1017	#120	—	3	3	no	—
1018	#120	—	3	3	no	—
1019	#120	—	3	6	no	—
1020	#120	—	3	3	no	—
1021	#120	—	3	6	no	—
1022	#120	—	3	6	no	—
1023	#120	—	3	6	no	—
1024	#120	—	3	6	no	—
1025	#120	—	3	6	no	—
1026	#120	—	3	6	no	—
1027	#120	—	3	6	no	—
1028	#120	—	3	6	no	—
1029	#120	—	3	6	no	—
1030	#120	—	3	6	no	—
1031	#120	—	3	6	no	—
1032	#120	C₂²×D₃	1	3	yes	—
1033	#120	C₂²×D₃	1	3	yes	complemented
1034	#120	C₂²×D₃	1	1	yes	characteristic, complemented
1035	#120	C₂²×D₃	1	3	yes	complemented
1036	#120	C₂²×D₃	1	6	yes	complemented
1037	#120	C₂²×D₃	1	3	yes	complemented
1038	#120	C₂²×D₃	1	3	yes	complemented
1039	#120	C₂²×D₃	1	6	yes	complemented
1040	#120	C₂²×D₃	1	6	yes	complemented
1041	C₄×Q₈	—	3	6	no	—
1042	C₄×D₄	—	3	6	no	—
1043	C₄×D₄	—	3	6	no	—
1044	C₄×D₄	—	3	6	no	—
1045	C₄×D₄	—	3	6	no	—
1046	C₄×D₄	—	3	6	no	—
1047	C₄×D₄	—	3	6	no	—
1048	C₄×D₄	—	3	6	no	—
1049	C₄×D₄	—	3	6	no	—
1050	C₄×D₄	—	3	6	no	—
1051	C₄×D₄	—	3	6	no	—
1052	C₄×D₄	—	3	6	no	—
1053	C₄×D₄	—	3	6	no	—
1054	C₄×D₄	—	3	6	no	—
1055	C₄×D₄	—	3	6	no	—
1056	C₄×D₄	—	3	6	no	—
1057	C₄×D₄	—	3	6	no	—
1058	C₄×D₄	—	3	6	no	—
1059	C₄×D₄	—	3	6	no	—
1060	C₄×D₄	—	3	6	no	—
1061	C₄×D₄	—	3	6	no	—
1062	C₄×D₄	—	3	6	no	—
1063	C₄×D₄	—	3	6	no	—
1064	C₄×D₄	—	3	6	no	—
1065	C₄×D₄	—	3	6	no	—
1066	C₄×D₄	—	3	6	no	—
1067	C₄×D₄	—	3	6	no	—
1068	C₄×D₄	—	3	6	no	—
1069	C₄×D₄	C₂²×D₃	1	6	yes	complemented
1070	C₄×D₄	C₂²×D₃	1	6	yes	complemented
1071	#117	—	3	6	no	—
1072	#117	—	3	3	no	—
1073	#117	—	3	3	no	—
1074	#117	—	3	3	no	—
1075	#117	—	3	3	no	—
1076	#117	—	3	3	no	—
1077	#117	—	3	3	no	—
1078	#117	—	3	6	no	—
1079	#117	C₂²×D₃	1	3	yes	complemented
1080	C₂×C₄⋊C₄	—	3	6	no	—
1081	C₂×C₄⋊C₄	—	3	6	no	—
1082	C₂×C₂²⋊C₄	—	3	3	no	—
1083	C₂×C₂²⋊C₄	—	3	3	no	—
1084	C₂×C₂²⋊C₄	—	3	6	no	—
1085	C₂×C₂²⋊C₄	—	3	6	no	—
1086	C₂×C₂²⋊C₄	—	3	6	no	—
1087	C₂×C₂²⋊C₄	—	3	6	no	—
1088	C₂×C₂²⋊C₄	—	3	6	no	—
1089	C₂×C₂²⋊C₄	—	3	3	no	—
1090	C₂×C₂²⋊C₄	—	3	3	no	—
1091	C₂×C₂²⋊C₄	—	3	6	no	—
1092	C₂×C₂²⋊C₄	—	3	6	no	—
1093	C₂×C₂²⋊C₄	—	3	3	no	—
1094	C₂×C₂²⋊C₄	—	3	3	no	—
1095	C₂×C₂²⋊C₄	C₂²×D₃	1	6	yes	complemented
1096	C₂×C₂²⋊C₄	C₂²×D₃	1	3	yes	complemented
1097	C₂×C₂²⋊C₄	C₂²×D₃	1	3	yes	complemented
1098	C₂×C₄²	—	3	3	no	—
1099	C₂×C₄²	—	3	3	no	—
1100	C₂×C₄²	—	3	1	no	—
1101	C₂³×C₃	—	2	12	no	—
1102	C₂³×C₃	—	2	6	no	—
1103	C₂³×C₃	—	2	6	no	—
1104	C₂³×C₃	—	4	3	no	—
1105	C₂³×C₃	—	4	6	no	—
1106	C₂³×C₃	—	4	3	no	—
1107	C₂³×C₃	—	4	6	no	—
1108	C₂³×C₃	—	4	3	no	—
1109	C₂³×C₃	—	8	8	no	—
1110	C₂³×C₃	C₂⁵	1	3	yes	—
1111	C₂³×C₃	C₂⁵	1	3	yes	—
1112	C₂³×C₃	C₂⁵	1	3	yes	—
1113	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1114	C₂³×C₃	C₂⁵	1	3	yes	—
1115	C₂²×D₃	—	2	12	no	—
1116	C₂²×D₃	—	2	12	no	—
1117	C₂²×D₃	—	2	12	no	—
1118	C₂²×D₃	—	2	12	no	—
1119	C₂²×D₃	—	2	12	no	—
1120	C₂²×D₃	—	2	6	no	—
1121	C₂²×D₃	—	2	6	no	—
1122	C₂²×D₃	—	4	3	no	—
1123	C₂²×D₃	—	4	6	no	—
1124	C₂²×D₃	—	4	6	no	—
1125	C₂²×D₃	—	4	3	no	—
1126	C₂²×D₃	—	4	6	no	—
1127	C₂²×D₃	—	4	6	no	—
1128	C₂²×D₃	—	4	6	no	—
1129	C₂²×D₃	—	4	6	no	—
1130	C₂²×D₃	—	4	6	no	—
1131	C₂²×D₃	—	4	6	no	—
1132	C₂²×D₃	—	4	6	no	—
1133	C₂²×D₃	—	4	3	no	—
1134	C₂²×D₃	—	4	6	no	—
1135	C₂²×D₃	—	4	3	no	—
1136	C₂²×D₃	—	4	3	no	—
1137	C₂²×D₃	—	8	8	no	—
1138	C₂²×D₃	—	8	24	no	—
1139	C₂²×D₃	—	8	24	no	—
1140	C₂²×D₃	C₂⁵	1	6	yes	—
1141	C₂²×D₃	C₂⁵	1	1	yes	characteristic
1142	C₂²×D₃	C₂⁵	1	3	yes	—
1143	C₂²×D₃	C₂⁵	1	1	yes	characteristic
1144	C₂²×D₃	C₂⁵	1	3	yes	—
1145	C₃×Q₈	—	4	3	no	—
1146	C₃×D₄	—	2	12	no	—
1147	C₃×D₄	—	2	12	no	—
1148	C₃×D₄	—	4	6	no	—
1149	C₃×D₄	—	4	6	no	—
1150	C₃×D₄	—	4	6	no	—
1151	C₃×D₄	—	4	3	no	—
1152	C₃×D₄	—	4	3	no	—
1153	C₃×D₄	—	4	3	no	—
1154	C₃×D₄	—	4	3	no	—
1155	C₃×D₄	—	4	3	no	—
1156	C₂×C₃×C₄	—	2	6	no	—
1157	C₂×C₃×C₄	—	4	3	no	—
1158	C₂×C₃×C₄	—	4	6	no	—
1159	C₂×C₃×C₄	—	4	6	no	—
1160	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1161	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1162	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1163	C₂×C₃×C₄	C₂⁵	1	6	yes	—
1164	#67	—	2	6	no	—
1165	#67	—	2	6	no	—
1166	#67	—	2	6	no	—
1167	#67	—	2	12	no	—
1168	#67	—	2	6	no	—
1169	#67	—	2	12	no	—
1170	#67	—	2	6	no	—
1171	#67	—	2	12	no	—
1172	#67	—	2	12	no	—
1173	#67	—	2	6	no	—
1174	#67	—	2	12	no	—
1175	#67	—	2	6	no	—
1176	#67	—	4	6	no	—
1177	#67	—	4	6	no	—
1178	#67	—	4	6	no	—
1179	#67	—	4	6	no	—
1180	#67	—	4	3	no	—
1181	#67	—	4	3	no	—
1182	#67	—	4	3	no	—
1183	#67	—	4	3	no	—
1184	#67	—	4	6	no	—
1185	#67	—	4	6	no	—
1186	#67	—	4	6	no	—
1187	#67	H(5,𝔽₂)	1	12	yes	complemented
1188	C₂×Dic₃	—	2	6	no	—
1189	C₂×Dic₃	—	2	12	no	—
1190	C₂×Dic₃	—	2	6	no	—
1191	C₂×Dic₃	—	4	3	no	—
1192	C₂×Dic₃	—	4	3	no	—
1193	C₂×Dic₃	—	4	6	no	—
1194	C₂×Dic₃	—	4	3	no	—
1195	C₂×Dic₃	C₂⁵	1	6	yes	—
1196	C₂×Dic₃	C₂⁵	1	3	yes	—
1197	C₂×Dic₃	C₂⁵	1	3	yes	—
1198	C₂×Dic₃	C₂⁵	1	3	yes	—
1199	C₂×Dic₃	C₂⁵	1	3	yes	—
1200	D₁₂	—	2	6	no	—
1201	D₁₂	—	2	12	no	—
1202	D₁₂	—	2	12	no	—
1203	D₁₂	—	4	6	no	—
1204	D₁₂	—	4	6	no	—
1205	D₁₂	—	4	6	no	—
1206	D₁₂	—	4	6	no	—
1207	D₁₂	—	4	3	no	—
1208	D₁₂	—	4	3	no	—
1209	D₁₂	—	4	6	no	—
1210	D₁₂	—	4	3	no	—
1211	C₄×D₃	—	2	6	no	—
1212	C₄×D₃	—	2	12	no	—
1213	C₄×D₃	—	2	12	no	—
1214	C₄×D₃	—	2	6	no	—
1215	C₄×D₃	—	4	6	no	—
1216	C₄×D₃	—	4	6	no	—
1217	C₄×D₃	—	4	6	no	—
1218	C₄×D₃	—	4	3	no	—
1219	C₄×D₃	—	4	3	no	—
1220	C₄×D₃	—	4	6	no	—
1221	Dic₆	—	2	6	no	—
1222	Dic₆	—	4	3	no	—
1223	C₂⁴	—	3	3	no	—
1224	C₂⁴	—	3	6	no	—
1225	C₂⁴	—	3	6	no	—
1226	C₂⁴	—	3	3	no	—
1227	C₂⁴	—	3	3	no	—
1228	C₂⁴	—	3	6	no	—
1229	C₂⁴	—	3	3	no	—
1230	C₂⁴	—	3	3	no	—
1231	C₂⁴	—	3	3	no	—
1232	C₂⁴	—	3	1	no	—
1233	C₂⁴	—	4	6	no	—
1234	C₂⁴	—	12	12	no	—
1235	C₂⁴	—	12	6	no	—
1236	C₂⁴	—	12	6	no	—
1237	C₂⁴	—	12	12	no	—
1238	C₂⁴	—	12	6	no	—
1239	C₂⁴	C₂³×D₃	1	3	yes	—
1240	C₂⁴	C₂³×D₃	1	3	yes	—
1241	C₂⁴	C₂³×D₃	1	3	yes	—
1242	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1243	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1244	#41	—	4	6	no	—
1245	#41	—	6	12	no	—
1246	#41	—	12	6	no	—
1247	#41	—	12	12	no	—
1248	#41	—	12	6	no	—
1249	#41	—	12	6	no	—
1250	#41	—	12	6	no	—
1251	#41	—	12	6	no	—
1252	#41	—	12	6	no	—
1253	#41	—	12	6	no	—
1254	C₂×Q₈	—	3	3	no	—
1255	C₂×Q₈	—	3	3	no	—
1256	C₂×Q₈	C₂³×D₃	1	3	yes	—
1257	C₂×D₄	—	3	3	no	—
1258	C₂×D₄	—	3	3	no	—
1259	C₂×D₄	—	3	3	no	—
1260	C₂×D₄	—	3	3	no	—
1261	C₂×D₄	—	3	3	no	—
1262	C₂×D₄	—	3	3	no	—
1263	C₂×D₄	—	3	6	no	—
1264	C₂×D₄	—	3	6	no	—
1265	C₂×D₄	—	3	6	no	—
1266	C₂×D₄	—	3	6	no	—
1267	C₂×D₄	—	3	3	no	—
1268	C₂×D₄	—	3	6	no	—
1269	C₂×D₄	—	3	3	no	—
1270	C₂×D₄	—	3	6	no	—
1271	C₂×D₄	—	3	3	no	—
1272	C₂×D₄	—	3	3	no	—
1273	C₂×D₄	—	3	3	no	—
1274	C₂×D₄	—	3	3	no	—
1275	C₂×D₄	—	3	6	no	—
1276	C₂×D₄	—	3	6	no	—
1277	C₂×D₄	—	3	6	no	—
1278	C₂×D₄	—	3	6	no	—
1279	C₂×D₄	—	3	6	no	—
1280	C₂×D₄	—	3	6	no	—
1281	C₂×D₄	—	3	3	no	—
1282	C₂×D₄	—	3	6	no	—
1283	C₂×D₄	—	3	6	no	—
1284	C₂×D₄	—	3	3	no	—
1285	C₂×D₄	—	3	6	no	—
1286	C₂×D₄	—	3	6	no	—
1287	C₂×D₄	—	3	6	no	—
1288	C₂×D₄	—	3	3	no	—
1289	C₂×D₄	—	3	3	no	—
1290	C₂×D₄	—	3	6	no	—
1291	C₂×D₄	—	3	6	no	—
1292	C₂×D₄	—	4	6	no	—
1293	C₂×D₄	—	4	6	no	—
1294	C₂×D₄	—	4	12	no	—
1295	C₂×D₄	—	6	24	no	—
1296	C₂×D₄	—	6	24	no	—
1297	C₂×D₄	—	6	24	no	—
1298	C₂×D₄	—	6	12	no	—
1299	C₂×D₄	—	6	12	no	—
1300	C₂×D₄	—	12	6	no	—
1301	C₂×D₄	—	12	6	no	—
1302	C₂×D₄	—	12	12	no	—
1303	C₂×D₄	—	12	12	no	—
1304	C₂×D₄	—	12	12	no	—
1305	C₂×D₄	—	12	12	no	—
1306	C₂×D₄	—	12	12	no	—
1307	C₂×D₄	—	12	6	no	—
1308	C₂×D₄	—	12	6	no	—
1309	C₂×D₄	—	12	6	no	—
1310	C₂×D₄	—	12	6	no	—
1311	C₂×D₄	—	12	12	no	—
1312	C₂×D₄	—	12	12	no	—
1313	C₂×D₄	—	12	6	no	—
1314	C₂×D₄	—	12	6	no	—
1315	C₂×D₄	—	12	12	no	—
1316	C₂×D₄	—	12	12	no	—
1317	C₂×D₄	—	12	12	no	—
1318	C₂×D₄	—	12	12	no	—
1319	C₂×D₄	—	12	12	no	—
1320	C₂×D₄	—	12	12	no	—
1321	C₂×D₄	—	12	12	no	—
1322	C₂×D₄	—	12	6	no	—
1323	C₂×D₄	—	12	6	no	—
1324	C₂×D₄	—	12	6	no	—
1325	C₂×D₄	—	12	12	no	—
1326	C₂×D₄	—	12	6	no	—
1327	C₂×D₄	—	12	6	no	—
1328	C₂×D₄	—	12	6	no	—
1329	C₂×D₄	—	12	12	no	—
1330	C₂×D₄	C₂³×D₃	1	6	yes	—
1331	C₂×D₄	C₂³×D₃	1	6	yes	—
1332	C₂×D₄	C₂³×D₃	1	3	yes	—
1333	C₂×D₄	C₂³×D₃	1	3	yes	—
1334	C₂×D₄	C₂³×D₃	1	3	yes	—
1335	C₂×D₄	C₂³×D₃	1	3	yes	—
1336	C₂×D₄	C₂³×D₃	1	3	yes	—
1337	C₂×D₄	C₂³×D₃	1	6	yes	—
1338	C₂×D₄	C₂³×D₃	1	6	yes	—
1339	C₂×D₄	C₂³×D₃	1	6	yes	—
1340	C₂²×C₄	—	3	6	no	—
1341	C₂²×C₄	—	3	3	no	—
1342	C₂²×C₄	—	3	3	no	—
1343	C₂²×C₄	—	3	6	no	—
1344	C₂²×C₄	—	3	3	no	—
1345	C₂²×C₄	—	3	3	no	—
1346	C₂²×C₄	—	3	3	no	—
1347	C₂²×C₄	—	3	3	no	—
1348	C₂²×C₄	—	3	6	no	—
1349	C₂²×C₄	—	3	3	no	—
1350	C₂²×C₄	—	3	6	no	—
1351	C₂²×C₄	—	3	6	no	—
1352	C₂²×C₄	—	3	6	no	—
1353	C₂²×C₄	—	3	3	no	—
1354	C₂²×C₄	—	3	3	no	—
1355	C₂²×C₄	—	3	6	no	—
1356	C₂²×C₄	—	3	6	no	—
1357	C₂²×C₄	—	12	6	no	—
1358	C₂²×C₄	—	12	12	no	—
1359	C₂²×C₄	—	12	6	no	—
1360	C₂²×C₄	C₂³×D₃	1	3	yes	—
1361	C₂²×C₄	C₂³×D₃	1	6	yes	—
1362	C₂²×C₄	C₂³×D₃	1	6	yes	—
1363	C₂²×C₄	C₂³×D₃	1	3	yes	—
1364	C₄⋊C₄	—	3	6	no	—
1365	C₄⋊C₄	—	3	6	no	—
1366	C₄⋊C₄	—	3	6	no	—
1367	C₄⋊C₄	—	3	6	no	—
1368	C₄⋊C₄	—	3	6	no	—
1369	C₄⋊C₄	—	3	6	no	—
1370	C₄⋊C₄	—	3	6	no	—
1371	C₄⋊C₄	—	3	6	no	—
1372	C₄⋊C₄	—	3	6	no	—
1373	C₄⋊C₄	—	3	6	no	—
1374	C₄⋊C₄	C₂³×D₃	1	6	yes	—
1375	C₄⋊C₄	C₂³×D₃	1	6	yes	—
1376	C₄⋊C₄	C₂³×D₃	1	6	yes	—
1377	C₂²⋊C₄	—	3	6	no	—
1378	C₂²⋊C₄	—	3	3	no	—
1379	C₂²⋊C₄	—	3	3	no	—
1380	C₂²⋊C₄	—	3	3	no	—
1381	C₂²⋊C₄	—	3	3	no	—
1382	C₂²⋊C₄	—	3	6	no	—
1383	C₂²⋊C₄	—	3	6	no	—
1384	C₂²⋊C₄	—	3	6	no	—
1385	C₂²⋊C₄	—	3	6	no	—
1386	C₂²⋊C₄	—	3	6	no	—
1387	C₂²⋊C₄	—	3	6	no	—
1388	C₂²⋊C₄	—	3	6	no	—
1389	C₂²⋊C₄	—	3	6	no	—
1390	C₂²⋊C₄	—	3	6	no	—
1391	C₂²⋊C₄	—	3	6	no	—
1392	C₂²⋊C₄	—	3	6	no	—
1393	C₂²⋊C₄	—	3	6	no	—
1394	C₂²⋊C₄	—	3	6	no	—
1395	C₂²⋊C₄	—	3	6	no	—
1396	C₂²⋊C₄	—	3	6	no	—
1397	C₂²⋊C₄	—	3	6	no	—
1398	C₂²⋊C₄	—	3	6	no	—
1399	C₂²⋊C₄	—	3	6	no	—
1400	C₂²⋊C₄	—	3	6	no	—
1401	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1402	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1403	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1404	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1405	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1406	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1407	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1408	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1409	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1410	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1411	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1412	C₄²	—	3	3	no	—
1413	C₄²	—	3	6	no	—
1414	C₄²	—	3	6	no	—
1415	C₄²	—	3	3	no	—
1416	C₄²	—	3	6	no	—
1417	C₄²	C₂³×D₃	1	1	yes	characteristic
1418	C₄²	C₂³×D₃	1	3	yes	—
1419	C₄²	C₂³×D₃	1	2	yes	—
1420	C₂²×C₃	—	2	6	no	—
1421	C₂²×C₃	—	2	3	no	—
1422	C₂²×C₃	—	2	3	no	—
1423	C₂²×C₃	—	2	3	no	—
1424	C₂²×C₃	—	2	3	no	—
1425	C₂²×C₃	—	2	6	no	—
1426	C₂²×C₃	—	2	6	no	—
1427	C₂²×C₃	—	2	6	no	—
1428	C₂²×C₃	—	4	12	no	—
1429	C₂²×C₃	—	8	6	no	—
1430	C₂²×C₃	—	8	6	no	—
1431	C₂²×C₃	—	8	2	no	—
1432	C₂²×C₃	—	8	2	no	—
1433	C₂²×C₃	C₂×H(5,𝔽₂)	1	6	yes	—
1434	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1435	C₂×D₃	—	2	6	no	—
1436	C₂×D₃	—	2	6	no	—
1437	C₂×D₃	—	2	3	no	—
1438	C₂×D₃	—	2	6	no	—
1439	C₂×D₃	—	2	3	no	—
1440	C₂×D₃	—	2	3	no	—
1441	C₂×D₃	—	2	6	no	—
1442	C₂×D₃	—	2	6	no	—
1443	C₂×D₃	—	4	12	no	—
1444	C₂×D₃	—	4	24	no	—
1445	C₂×D₃	—	8	12	no	—
1446	C₂×D₃	—	8	6	no	—
1447	C₂×D₃	—	8	6	no	—
1448	C₂×D₃	—	8	12	no	—
1449	C₂×D₃	—	8	6	no	—
1450	C₂×D₃	—	8	6	no	—
1451	C₂×D₃	—	16	3	no	—
1452	C₂×D₃	—	16	1	no	—
1453	C₂×D₃	C₂×H(5,𝔽₂)	1	6	yes	—
1454	C₃×C₄	—	2	3	no	—
1455	C₃×C₄	—	2	3	no	—
1456	C₃×C₄	—	2	6	no	—
1457	C₃×C₄	—	2	6	no	—
1458	Dic₃	—	2	3	no	—
1459	Dic₃	—	2	3	no	—
1460	Dic₃	—	2	3	no	—
1461	Dic₃	—	2	6	no	—
1462	Dic₃	C₂×H(5,𝔽₂)	1	6	yes	—
1463	C₂³	—	2	12	no	—
1464	C₂³	—	2	6	no	—
1465	C₂³	—	2	6	no	—
1466	C₂³	—	3	3	no	—
1467	C₂³	—	3	6	no	—
1468	C₂³	—	3	1	no	—
1469	C₂³	—	3	1	no	—
1470	C₂³	—	3	3	no	—
1471	C₂³	—	4	3	no	—
1472	C₂³	—	4	6	no	—
1473	C₂³	—	4	3	no	—
1474	C₂³	—	4	6	no	—
1475	C₂³	—	4	3	no	—
1476	C₂³	—	6	12	no	—
1477	C₂³	—	6	12	no	—
1478	C₂³	—	6	6	no	—
1479	C₂³	—	6	12	no	—
1480	C₂³	—	6	6	no	—
1481	C₂³	—	6	12	no	—
1482	C₂³	—	6	12	no	—
1483	C₂³	—	8	8	no	—
1484	C₂³	—	12	6	no	—
1485	C₂³	—	12	3	no	—
1486	C₂³	—	12	6	no	—
1487	C₂³	—	12	6	no	—
1488	C₂³	—	12	3	no	—
1489	C₂³	—	12	6	no	—
1490	C₂³	—	12	3	no	—
1491	C₂³	—	12	6	no	—
1492	C₂³	—	12	6	no	—
1493	C₂³	—	12	6	no	—
1494	C₂³	—	12	6	no	—
1495	C₂³	—	12	6	no	—
1496	C₂³	—	12	6	no	—
1497	C₂³	—	12	3	no	—
1498	C₂³	—	12	3	no	—
1499	C₂³	—	24	24	no	—
1500	C₂³	—	24	24	no	—
1501	C₂³	—	24	8	no	—
1502	C₂³	C₂⁴×D₃	1	3	yes	—
1503	C₂³	C₂⁴×D₃	1	3	yes	—
1504	C₂³	C₂⁴×D₃	1	3	yes	—
1505	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1506	C₂³	C₂⁴×D₃	1	3	yes	—
1507	Q₈	—	4	3	no	—
1508	Q₈	—	6	6	no	—
1509	Q₈	—	12	3	no	—
1510	D₄	—	2	12	no	—
1511	D₄	—	2	12	no	—
1512	D₄	—	3	12	no	—
1513	D₄	—	4	6	no	—
1514	D₄	—	4	6	no	—
1515	D₄	—	4	6	no	—
1516	D₄	—	4	3	no	—
1517	D₄	—	4	3	no	—
1518	D₄	—	4	3	no	—
1519	D₄	—	4	3	no	—
1520	D₄	—	4	3	no	—
1521	D₄	—	6	12	no	—
1522	D₄	—	6	12	no	—
1523	D₄	—	6	6	no	—
1524	D₄	—	6	12	no	—
1525	D₄	—	6	12	no	—
1526	D₄	—	6	12	no	—
1527	D₄	—	6	6	no	—
1528	D₄	—	6	6	no	—
1529	D₄	—	6	12	no	—
1530	D₄	—	6	6	no	—
1531	D₄	—	6	6	no	—
1532	D₄	—	6	12	no	—
1533	D₄	—	6	6	no	—
1534	D₄	—	6	6	no	—
1535	D₄	—	6	6	no	—
1536	D₄	—	12	6	no	—
1537	D₄	—	12	6	no	—
1538	D₄	—	12	6	no	—
1539	D₄	—	12	6	no	—
1540	D₄	—	12	3	no	—
1541	D₄	—	12	3	no	—
1542	D₄	—	12	3	no	—
1543	D₄	—	12	6	no	—
1544	D₄	—	12	6	no	—
1545	D₄	—	12	6	no	—
1546	D₄	—	12	6	no	—
1547	D₄	—	12	6	no	—
1548	D₄	—	12	6	no	—
1549	D₄	—	12	6	no	—
1550	D₄	—	12	3	no	—
1551	D₄	—	12	3	no	—
1552	D₄	—	12	3	no	—
1553	D₄	—	12	6	no	—
1554	D₄	—	12	3	no	—
1555	C₂×C₄	—	2	6	no	—
1556	C₂×C₄	—	3	3	no	—
1557	C₂×C₄	—	3	3	no	—
1558	C₂×C₄	—	3	3	no	—
1559	C₂×C₄	—	3	3	no	—
1560	C₂×C₄	—	3	6	no	—
1561	C₂×C₄	—	4	3	no	—
1562	C₂×C₄	—	4	6	no	—
1563	C₂×C₄	—	4	6	no	—
1564	C₂×C₄	—	6	12	no	—
1565	C₂×C₄	—	6	12	no	—
1566	C₂×C₄	—	6	6	no	—
1567	C₂×C₄	—	6	6	no	—
1568	C₂×C₄	—	6	12	no	—
1569	C₂×C₄	—	6	6	no	—
1570	C₂×C₄	—	6	6	no	—
1571	C₂×C₄	—	12	6	no	—
1572	C₂×C₄	—	12	6	no	—
1573	C₂×C₄	—	12	6	no	—
1574	C₂×C₄	—	12	3	no	—
1575	C₂×C₄	—	12	3	no	—
1576	C₂×C₄	—	12	6	no	—
1577	C₂×C₄	—	12	3	no	—
1578	C₂×C₄	—	12	6	no	—
1579	C₂×C₄	—	12	3	no	—
1580	C₂×C₄	—	12	3	no	—
1581	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1582	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1583	C₂×C₄	C₂⁴×D₃	1	6	yes	—
1584	C₂×C₄	C₂⁴×D₃	1	6	yes	—
1585	C₂×C₃	—	2	6	no	—
1586	C₂×C₃	—	4	3	no	—
1587	C₂×C₃	—	4	3	no	—
1588	C₂×C₃	—	4	3	no	—
1589	C₂×C₃	—	4	1	no	—
1590	C₂×C₃	C₂²×H(5,𝔽₂)	1	3	yes	—
1591	D₃	—	2	6	no	—
1592	D₃	—	4	6	no	—
1593	D₃	—	4	3	no	—
1594	D₃	—	4	1	no	—
1595	D₃	—	4	1	no	—
1596	C₂²	—	2	6	no	—
1597	C₂²	—	2	3	no	—
1598	C₂²	—	2	6	no	—
1599	C₂²	—	2	3	no	—
1600	C₂²	—	2	3	no	—
1601	C₂²	—	2	3	no	—
1602	C₂²	—	2	6	no	—
1603	C₂²	—	2	6	no	—
1604	C₂²	—	3	6	no	—
1605	C₂²	—	4	12	no	—
1606	C₂²	—	6	6	no	—
1607	C₂²	—	6	6	no	—
1608	C₂²	—	6	3	no	—
1609	C₂²	—	6	6	no	—
1610	C₂²	—	6	3	no	—
1611	C₂²	—	6	3	no	—
1612	C₂²	—	6	6	no	—
1613	C₂²	—	6	6	no	—
1614	C₂²	—	8	6	no	—
1615	C₂²	—	8	6	no	—
1616	C₂²	—	8	2	no	—
1617	C₂²	—	8	2	no	—
1618	C₂²	—	12	24	no	—
1619	C₂²	—	12	12	no	—
1620	C₂²	—	24	12	no	—
1621	C₂²	—	24	6	no	—
1622	C₂²	—	24	6	no	—
1623	C₂²	—	24	12	no	—
1624	C₂²	—	24	6	no	—
1625	C₂²	—	24	6	no	—
1626	C₂²	—	48	1	no	—
1627	C₂²	—	48	3	no	—
1628	C₂²	D₃×H(5,𝔽₂)	1	6	yes	—
1629	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1630	C₄	—	2	3	no	—
1631	C₄	—	2	3	no	—
1632	C₄	—	2	6	no	—
1633	C₄	—	2	6	no	—
1634	C₄	—	3	6	no	—
1635	C₄	—	6	6	no	—
1636	C₄	—	6	3	no	—
1637	C₄	—	6	3	no	—
1638	C₄	—	6	3	no	—
1639	C₃	#63011	1	1	yes	characteristic, complemented, Sylow
1640	C₂	—	2	6	no	—
1641	C₂	—	4	3	no	—
1642	C₂	—	4	1	no	—
1643	C₂	—	4	3	no	—
1644	C₂	—	4	3	no	—
1645	C₂	—	6	6	no	—
1646	C₂	—	12	6	no	—
1647	C₂	—	12	3	no	—
1648	C₂	—	12	1	no	—
1649	C₂	—	12	1	no	—
1650	C₂	C₂×D₃×H(5,𝔽₂)	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3532	C₂
hypercenter	#3532	D₃
hypocenter	C₃	#63011
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3532

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₃×#3532	C₂	semidirect
2. #87090	C₂	semidirect
3. #87087	C₂	semidirect
4. #87083	C₂	semidirect
5. #87071	C₂	semidirect
6. #86818	C₂	semidirect
7. #86791	C₂	semidirect
8. #86662	C₂	semidirect
9. #86639	C₂	semidirect
10. D₃×D₄²	C₂	semidirect
11. #86614	C₂	semidirect
12. #86417	C₂	semidirect
13. #86396	C₂	semidirect
14. #86333	C₂	semidirect
15. #86316	C₂	semidirect
16. #86308	C₂	semidirect
17. #86303	C₂	semidirect
18. #85919	C₂	semidirect
19. C₂×#5590	C₂	semidirect
21. C₂³×#67	C₂²	semidirect
22. C₂×#1009	C₂²	semidirect
23. C₂×#1004	C₂²	semidirect
24. C₂²×D₃×D₄	C₂²	semidirect
25. C₂²×D₃×D₄	C₂²	semidirect
26. C₃×H(3,𝔽₄)	C₂²	semidirect
27. C₃×#560	C₂²	semidirect
28. C₃×#551	C₂²	semidirect
29. C₃×#546	C₂²	semidirect
30. C₃×D₄²	C₂²	semidirect
31. C₃×#538	C₂²	semidirect
32. C₃×#535	C₂²	semidirect
33. C₃×#534	C₂²	semidirect
34. C₂×C₃×#120	C₂²	semidirect
35. C₂×#953	C₂²	semidirect
36. #5832	C₂²	semidirect
37. #5829	C₂²	semidirect
38. #5804	C₂²	semidirect
39. #5804	C₂²	semidirect
40. C₂×#940	C₂²	semidirect
41. C₂×#939	C₂²	semidirect
42. D₄×#67	C₂²	semidirect
43. D₄×#67	C₂²	semidirect
44. D₄×#67	C₂²	semidirect
45. C₂×#937	C₂²	semidirect
46. #5720	C₂²	semidirect
47. #5717	C₂²	semidirect
48. #5715	C₂²	semidirect
49. #5715	C₂²	semidirect
50. D₃×#127	C₂²	semidirect
51. D₃×#127	C₂²	semidirect
52. #5711	C₂²	semidirect
53. #5711	C₂²	semidirect
54. #5709	C₂²	semidirect
55. #5709	C₂²	semidirect
56. #5706	C₂²	semidirect
57. #5704	C₂²	semidirect
58. #5683	C₂²	semidirect
59. #5679	C₂²	semidirect
60. #5678	C₂²	semidirect
61. #5678	C₂²	semidirect
62. #5676	C₂²	semidirect
63. #5674	C₂²	semidirect
64. #5674	C₂²	semidirect
65. #5674	C₂²	semidirect
66. #5670	C₂²	semidirect
67. #5668	C₂²	semidirect
68. #5668	C₂²	semidirect
69. #5666	C₂²	semidirect
70. #5664	C₂²	semidirect
71. #5663	C₂²	semidirect
72. #5663	C₂²	semidirect
73. #5661	C₂²	semidirect
74. #5656	C₂²	semidirect
75. #5656	C₂²	semidirect
76. #5654	C₂²	semidirect
77. #5654	C₂²	semidirect
78. #5654	C₂²	semidirect
79. #5653	C₂²	semidirect
80. #5653	C₂²	semidirect
81. #5653	C₂²	semidirect
82. #5653	C₂²	semidirect
83. #5649	C₂²	semidirect
84. #5644	C₂²	semidirect
85. #5636	C₂²	semidirect
86. #5630	C₂²	semidirect
87. #5627	C₂²	semidirect
88. #5620	C₂²	semidirect
89. #5620	C₂²	semidirect
90. #5615	C₂²	semidirect
91. #5615	C₂²	semidirect
92. #5613	C₂²	semidirect
93. #5610	C₂²	semidirect
94. #5610	C₂²	semidirect
95. #5609	C₂²	semidirect
96. #5609	C₂²	semidirect
97. #5609	C₂²	semidirect
98. #5609	C₂²	semidirect
99. #5609	C₂²	semidirect
100. #5607	C₂²	semidirect
101. #5605	C₂²	semidirect
102. #5605	C₂²	semidirect
103. D₃×#121	C₂²	semidirect
104. D₃×#121	C₂²	semidirect
105. #5601	C₂²	semidirect
106. #5599	C₂²	semidirect
107. #5599	C₂²	semidirect
108. #5595	C₂²	semidirect
109. #5593	C₂²	semidirect
110. #5592	C₂²	semidirect
111. #5592	C₂²	semidirect
112. #5592	C₂²	semidirect
113. #5592	C₂²	semidirect
114. #5591	C₂²	semidirect
115. #5591	C₂²	semidirect
116. #5590	C₂²	semidirect
117. #5590	C₂²	semidirect
118. #5590	C₂²	semidirect
119. #5590	C₂²	semidirect
120. #5590	C₂²	semidirect
121. #5590	C₂²	semidirect
122. #5590	C₂²	semidirect
123. #5590	C₂²	semidirect
124. #5590	C₂²	semidirect
125. #5590	C₂²	semidirect
126. #5590	C₂²	semidirect
127. #5590	C₂²	semidirect
128. #5590	C₂²	semidirect
129. #5590	C₂²	semidirect
130. #5590	C₂²	semidirect
131. #5589	C₂²	semidirect
132. #5589	C₂²	semidirect
133. D₃×#120	C₂²	semidirect
134. D₃×#120	C₂²	semidirect
135. D₃×#120	C₂²	semidirect
136. D₃×#120	C₂²	semidirect
137. D₃×#120	C₂²	semidirect
138. #5586	C₂²	semidirect
139. #5586	C₂²	semidirect
140. #5560	C₂²	semidirect
141. D₄×D₁₂	C₂²	semidirect
142. D₄×D₁₂	C₂²	semidirect
143. #5547	C₂²	semidirect
144. #5545	C₂²	semidirect
145. C₄×D₃×D₄	C₂²	semidirect
146. #5540	C₂²	semidirect
147. #5540	C₂²	semidirect
148. #5527	C₂²	semidirect
149. #5525	C₂²	semidirect
150. #5522	C₂²	semidirect
151. #5493	C₂²	semidirect
152. #5490	C₂²	semidirect
153. #5490	C₂²	semidirect
154. #5490	C₂²	semidirect
155. C₂×#884	C₂²	semidirect
156. C₂×#882	C₂²	semidirect
157. C₂×#882	C₂²	semidirect
158. #5486	C₂²	semidirect
159. #5486	C₂²	semidirect
160. C₂×#67⋊C₄	C₂²	semidirect
170. #3532	D₃	semidirect
180. C₂⁵×C₃	C₂³	semidirect
181. C₂⁴×D₃	C₂³	semidirect
182. C₂⁴×D₃	C₂³	semidirect
183. C₂⁴×D₃	C₂³	semidirect
184. C₂×C₃×#41	C₂³	semidirect
185. C₂²×C₃×D₄	C₂³	semidirect
186. C₂²×C₃×D₄	C₂³	semidirect
187. C₂²×C₃×D₄	C₂³	semidirect
192. C₂²×#67	C₂³	semidirect
193. C₂²×#67	C₂³	semidirect
194. C₂²×#67	C₂³	semidirect
195. C₂²×#67	C₂³	semidirect
196. C₂²×#67	C₂³	semidirect
197. C₂²×#67	C₂³	semidirect
198. C₂²×#67	C₂³	semidirect
199. C₂²×#67	C₂³	semidirect
200. C₂²×#67	C₂³	semidirect
201. C₂²×#67	C₂³	semidirect
202. C₂³×Dic₃	C₂³	semidirect
204. C₂×#239	C₂³	semidirect
205. C₂×#239	C₂³	semidirect
207. C₂×#237	C₂³	semidirect
208. C₂×#237	C₂³	semidirect
209. C₂×#237	C₂³	semidirect
210. C₂×#237	C₂³	semidirect
215. C₂×D₃×D₄	C₂³	semidirect
216. C₂×D₃×D₄	C₂³	semidirect
217. C₂×D₃×D₄	C₂³	semidirect
218. C₂×D₃×D₄	C₂³	semidirect
219. C₂×D₃×D₄	C₂³	semidirect
220. C₂×D₃×D₄	C₂³	semidirect
221. C₂×D₃×D₄	C₂³	semidirect
222. C₂×D₃×D₄	C₂³	semidirect
223. C₂×D₃×D₄	C₂³	semidirect
224. C₂×D₃×D₄	C₂³	semidirect
225. C₂×D₃×D₄	C₂³	semidirect
226. C₂×D₃×D₄	C₂³	semidirect
227. C₂×D₃×D₄	C₂³	semidirect
228. C₂×D₃×D₄	C₂³	semidirect
229. C₂×D₃×D₄	C₂³	semidirect
230. C₂×D₃×D₄	C₂³	semidirect
232. C₂×#235	C₂³	semidirect
233. C₂×#235	C₂³	semidirect
234. C₂²×D₁₂	C₂³	semidirect
235. C₂²×D₁₂	C₂³	semidirect
236. C₂²×D₁₂	C₂³	semidirect
237. C₂²×D₁₂	C₂³	semidirect
238. C₂²×C₄×D₃	C₂³	semidirect
239. C₂²×C₄×D₃	C₂³	semidirect
240. C₃×#127	C₂³	semidirect
241. C₃×#127	C₂³	semidirect
242. C₃×#126	C₂³	semidirect
243. C₃×#126	C₂³	semidirect
244. C₃×#124	C₂³	semidirect
245. C₃×#124	C₂³	semidirect
246. C₃×#124	C₂³	semidirect
247. C₃×#123	C₂³	semidirect
248. C₃×#123	C₂³	semidirect
249. C₃×#123	C₂³	semidirect
250. C₃×#123	C₂³	semidirect
251. C₃×C₂²⋊Q₈	C₂³	semidirect
252. C₃×#121	C₂³	semidirect
253. C₃×#121	C₂³	semidirect
254. C₃×#121	C₂³	semidirect
255. C₃×#121	C₂³	semidirect
256. C₃×#121	C₂³	semidirect
258. C₃×#120	C₂³	semidirect
259. C₃×#120	C₂³	semidirect
260. C₃×#120	C₂³	semidirect
261. C₃×#120	C₂³	semidirect
262. C₃×#120	C₂³	semidirect
263. C₃×#120	C₂³	semidirect
264. C₃×#120	C₂³	semidirect
265. C₃×#120	C₂³	semidirect
266. C₃×C₄×D₄	C₂³	semidirect
267. C₃×C₄×D₄	C₂³	semidirect
268. C₃×#117	C₂³	semidirect
269. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
270. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
271. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
272. #953	C₂³	semidirect
273. #953	C₂³	semidirect
274. #953	C₂³	semidirect
275. #953	C₂³	semidirect
276. #953	C₂³	semidirect
277. #953	C₂³	semidirect
278. #953	C₂³	semidirect
279. C₂×#217	C₂³	semidirect
280. C₂×#217	C₂³	semidirect
281. #947	C₂³	semidirect
282. #947	C₂³	semidirect
283. #946	C₂³	semidirect
284. #944	C₂³	semidirect
286. #940	C₂³	semidirect
287. #940	C₂³	semidirect
288. #940	C₂³	semidirect
289. #940	C₂³	semidirect
290. #940	C₂³	semidirect
291. #940	C₂³	semidirect
292. #940	C₂³	semidirect
293. #940	C₂³	semidirect
294. #940	C₂³	semidirect
296. #939	C₂³	semidirect
297. #939	C₂³	semidirect
298. #939	C₂³	semidirect
299. #939	C₂³	semidirect
300. #939	C₂³	semidirect
301. #939	C₂³	semidirect
302. #939	C₂³	semidirect
303. #939	C₂³	semidirect
304. #939	C₂³	semidirect
305. #939	C₂³	semidirect
306. #939	C₂³	semidirect
307. #939	C₂³	semidirect
308. #939	C₂³	semidirect
309. #939	C₂³	semidirect
310. #939	C₂³	semidirect
311. #938	C₂³	semidirect
312. #938	C₂³	semidirect
313. #938	C₂³	semidirect
315. #937	C₂³	semidirect
316. #937	C₂³	semidirect
317. #937	C₂³	semidirect
318. #937	C₂³	semidirect
319. #937	C₂³	semidirect
320. #937	C₂³	semidirect
321. #937	C₂³	semidirect
322. #937	C₂³	semidirect
323. #937	C₂³	semidirect
324. #937	C₂³	semidirect
325. #937	C₂³	semidirect
326. #937	C₂³	semidirect
327. #937	C₂³	semidirect
328. #937	C₂³	semidirect
329. #936	C₂³	semidirect
330. #935	C₂³	semidirect
331. #935	C₂³	semidirect
332. #935	C₂³	semidirect
333. D₄×Dic₃	C₂³	semidirect
334. D₄×Dic₃	C₂³	semidirect
335. #930	C₂³	semidirect
336. #930	C₂³	semidirect
337. #930	C₂³	semidirect
338. #930	C₂³	semidirect
339. #929	C₂³	semidirect
340. #929	C₂³	semidirect
341. #929	C₂³	semidirect
342. #929	C₂³	semidirect
344. C₄×#67	C₂³	semidirect
345. C₄×#67	C₂³	semidirect
346. C₄×#67	C₂³	semidirect
347. C₄×#67	C₂³	semidirect
348. C₄×#67	C₂³	semidirect
349. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
350. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
351. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
352. C₂×Dic₃⋊C₄	C₂³	semidirect
353. C₂×C₄×Dic₃	C₂³	semidirect
354. #898	C₂³	semidirect
355. #898	C₂³	semidirect
356. #896	C₂³	semidirect
357. #896	C₂³	semidirect
358. #895	C₂³	semidirect
359. #895	C₂³	semidirect
360. #895	C₂³	semidirect
361. #895	C₂³	semidirect
362. #895	C₂³	semidirect
363. #895	C₂³	semidirect
364. #894	C₂³	semidirect
365. #894	C₂³	semidirect
366. #894	C₂³	semidirect
367. #894	C₂³	semidirect
368. #894	C₂³	semidirect
369. #894	C₂³	semidirect
370. #893	C₂³	semidirect
371. #893	C₂³	semidirect
372. #893	C₂³	semidirect
373. #892	C₂³	semidirect
374. D₃×C₄⋊C₄	C₂³	semidirect
375. #889	C₂³	semidirect
376. #889	C₂³	semidirect
377. #887	C₂³	semidirect
378. #886	C₂³	semidirect
379. #886	C₂³	semidirect
380. #886	C₂³	semidirect
381. #885	C₂³	semidirect
382. #885	C₂³	semidirect
383. #885	C₂³	semidirect
384. #885	C₂³	semidirect
386. #884	C₂³	semidirect
387. #884	C₂³	semidirect
388. #884	C₂³	semidirect
389. #884	C₂³	semidirect
390. #884	C₂³	semidirect
391. #884	C₂³	semidirect
392. #884	C₂³	semidirect
393. #884	C₂³	semidirect
394. #884	C₂³	semidirect
395. #884	C₂³	semidirect
396. #884	C₂³	semidirect
397. #884	C₂³	semidirect
398. #884	C₂³	semidirect
399. #884	C₂³	semidirect
400. #884	C₂³	semidirect
401. #884	C₂³	semidirect
402. #884	C₂³	semidirect
403. #883	C₂³	semidirect
404. #883	C₂³	semidirect
405. #883	C₂³	semidirect
406. #883	C₂³	semidirect
408. #882	C₂³	semidirect
409. #882	C₂³	semidirect
410. #882	C₂³	semidirect
411. #882	C₂³	semidirect
412. #882	C₂³	semidirect
413. #882	C₂³	semidirect
414. #882	C₂³	semidirect
415. #882	C₂³	semidirect
416. #882	C₂³	semidirect
417. #882	C₂³	semidirect
418. #882	C₂³	semidirect
419. #882	C₂³	semidirect
420. #882	C₂³	semidirect
421. #882	C₂³	semidirect
422. #882	C₂³	semidirect
423. #882	C₂³	semidirect
424. #882	C₂³	semidirect
425. #882	C₂³	semidirect
426. #882	C₂³	semidirect
427. #882	C₂³	semidirect
430. #67⋊C₄	C₂³	semidirect
431. #67⋊C₄	C₂³	semidirect
432. #67⋊C₄	C₂³	semidirect
433. #67⋊C₄	C₂³	semidirect
434. #67⋊C₄	C₂³	semidirect
435. #67⋊C₄	C₂³	semidirect
436. #67⋊C₄	C₂³	semidirect
437. #67⋊C₄	C₂³	semidirect
438. #67⋊C₄	C₂³	semidirect
439. #67⋊C₄	C₂³	semidirect
440. #67⋊C₄	C₂³	semidirect
441. #67⋊C₄	C₂³	semidirect
442. D₃×C₂²⋊C₄	C₂³	semidirect
443. D₃×C₂²⋊C₄	C₂³	semidirect
444. D₃×C₂²⋊C₄	C₂³	semidirect
445. D₃×C₂²⋊C₄	C₂³	semidirect
446. D₃×C₂²⋊C₄	C₂³	semidirect
447. D₃×C₂²⋊C₄	C₂³	semidirect
448. D₃×C₂²⋊C₄	C₂³	semidirect
449. D₃×C₂²⋊C₄	C₂³	semidirect
450. #879	C₂³	semidirect
451. #879	C₂³	semidirect
452. #878	C₂³	semidirect
453. #878	C₂³	semidirect
454. #877	C₂³	semidirect
455. #877	C₂³	semidirect
456. #877	C₂³	semidirect
457. #877	C₂³	semidirect
458. #876	C₂³	semidirect
459. #876	C₂³	semidirect
460. #875	C₂³	semidirect
461. #875	C₂³	semidirect
462. #874	C₂³	semidirect
463. #874	C₂³	semidirect
464. #874	C₂³	semidirect
465. C₄×D₁₂	C₂³	semidirect
466. C₄×D₁₂	C₂³	semidirect
467. #872	C₂³	semidirect
468. #872	C₂³	semidirect
469. #872	C₂³	semidirect
470. C₄²×D₃	C₂³	semidirect
471. C₄²×D₃	C₂³	semidirect
478. H(3,𝔽₄)	C₂×D₃	semidirect
486. #560	C₂×D₃	semidirect
498. #551	C₂×D₃	semidirect
514. #546	C₂×D₃	semidirect
541. D₄²	C₂×D₃	semidirect
553. #538	C₂×D₃	semidirect
565. #535	C₂×D₃	semidirect
577. #534	C₂×D₃	semidirect
605. C₂×#120	C₂×D₃	semidirect
812. C₂⁵	C₂²×D₃	semidirect
824. C₂×#41	C₂²×D₃	semidirect
863. C₂²×D₄	C₂²×D₃	semidirect
864. C₂²×D₄	C₂²×D₃	semidirect
865. C₂²×D₄	C₂²×D₃	semidirect
883. #127	C₂²×D₃	semidirect
884. #127	C₂²×D₃	semidirect
891. #126	C₂²×D₃	semidirect
892. #126	C₂²×D₃	semidirect
904. #124	C₂²×D₃	semidirect
905. #124	C₂²×D₃	semidirect
906. #124	C₂²×D₃	semidirect
927. #123	C₂²×D₃	semidirect
928. #123	C₂²×D₃	semidirect
929. #123	C₂²×D₃	semidirect
930. #123	C₂²×D₃	semidirect
936. C₂²⋊Q₈	C₂²×D₃	semidirect
984. #121	C₂²×D₃	semidirect
985. #121	C₂²×D₃	semidirect
986. #121	C₂²×D₃	semidirect
987. #121	C₂²×D₃	semidirect
988. #121	C₂²×D₃	semidirect
1033. #120	C₂²×D₃	semidirect
1034. #120	C₂²×D₃	semidirect
1035. #120	C₂²×D₃	semidirect
1036. #120	C₂²×D₃	semidirect
1037. #120	C₂²×D₃	semidirect
1038. #120	C₂²×D₃	semidirect
1039. #120	C₂²×D₃	semidirect
1040. #120	C₂²×D₃	semidirect
1069. C₄×D₄	C₂²×D₃	semidirect
1070. C₄×D₄	C₂²×D₃	semidirect
1079. #117	C₂²×D₃	semidirect
1095. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1096. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1097. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1187. #67	H(5,𝔽₂)	semidirect
1639. C₃	#63011	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃×#3532	2
#87090	2
#87087	2
#87083	2
#87071	2
#86818	2
#86791	2
#86662	2
#86639	2
D₃×D₄²	2
#86614	2
#86417	2
#86396	2
#86333	2
#86316	2
#86308	2
#86303	2
#85919	2
C₂×#5590	2
#63011	3