Subgroups — #11705071

Order 768.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
2	#87284	C₂	1	4	yes	maximal, complemented
3	#86691	C₂	1	4	yes	maximal, complemented
4	#86681	C₂	1	4	yes	maximal, complemented
5	#86667	C₂	1	8	yes	maximal, complemented
6	#86645	C₂	1	8	yes	maximal, complemented
7	#86620	C₂	1	4	yes	maximal, complemented
8	#86616	C₂	1	4	yes	maximal, complemented
9	#86383	C₂	1	4	yes	maximal, complemented
10	#86309	C₂	1	2	yes	maximal, complemented
11	D₃×#534	C₂	1	2	yes	maximal, complemented
12	#86301	C₂	1	4	yes	maximal, complemented
13	#86254	C₂	1	2	yes	maximal, complemented
14	#86247	C₂	1	2	yes	maximal, complemented
15	#85949	C₂	1	2	yes	maximal, complemented
16	C₂×#5609	C₂	1	2	yes	maximal, complemented
17	#85938	C₂	1	2	yes	maximal, complemented
18	#85937	C₂	1	2	yes	maximal, complemented
19	C₂×#5550	C₂	1	1	yes	maximal, characteristic, complemented
20	#85776	C₂	1	1	yes	maximal, characteristic, complemented
21	#62892	—	3	1	no	maximal, Sylow
22	C₂×C₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
23	C₂×#1004	C₂²	1	2	yes	complemented
24	C₂²×D₃×D₄	C₂²	1	2	yes	complemented
25	C₂²×D₃×D₄	C₂²	1	4	yes	complemented
26	C₂²×#235	C₂²	1	1	yes	characteristic, complemented
27	C₂³×D₁₂	C₂²	1	1	yes	characteristic, complemented
28	C₃×#547	C₂²	1	4	yes	complemented
29	C₃×#546	C₂²	1	8	yes	complemented
30	C₃×D₄²	C₂²	1	4	yes	complemented
31	C₃×#537	C₂²	1	2	yes	complemented
32	C₃×#534	C₂²	1	2	yes	complemented
33	C₃×#534	C₂²	1	2	yes	complemented
34	C₃×#532	C₂²	1	2	yes	complemented
35	C₂×C₃×#121	C₂²	1	2	yes	complemented
36	C₂×C₃×#121	C₂²	1	2	yes	complemented
37	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
38	#5830	C₂²	1	8	yes	complemented
39	#5829	C₂²	1	8	yes	complemented
40	#5829	C₂²	1	8	yes	complemented
41	#5829	C₂²	1	8	yes	complemented
42	#5829	C₂²	1	8	yes	complemented
43	#5828	C₂²	1	8	yes	complemented
44	#5806	C₂²	1	4	yes	complemented
45	#5805	C₂²	1	2	yes	complemented
46	#5804	C₂²	1	4	yes	complemented
47	#5804	C₂²	1	8	yes	complemented
48	#5804	C₂²	1	2	yes	complemented
49	C₂×#940	C₂²	1	2	yes	complemented
50	D₄×#67	C₂²	1	8	yes	complemented
51	D₄×#67	C₂²	1	8	yes	complemented
52	D₄×#67	C₂²	1	4	yes	complemented
53	D₄×#67	C₂²	1	8	yes	complemented
54	D₄×#67	C₂²	1	8	yes	complemented
55	C₂×#937	C₂²	1	4	yes	complemented
56	C₂×#937	C₂²	1	8	yes	complemented
57	C₂×#937	C₂²	1	2	yes	complemented
58	#5798	C₂²	1	4	yes	complemented
59	#5791	C₂²	1	2	yes	complemented
60	C₂×#930	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×#67	C₂²	1	2	yes	complemented
62	C₂×#924	C₂²	1	1	yes	characteristic, complemented
63	#5734	C₂²	1	2	yes	complemented
64	#5733	C₂²	1	4	yes	complemented
65	#5730	C₂²	1	2	yes	complemented
66	#5718	C₂²	1	2	yes	complemented
67	#5717	C₂²	1	2	yes	complemented
68	#5715	C₂²	1	4	yes	complemented
69	#5684	C₂²	1	4	yes	complemented
70	#5683	C₂²	1	4	yes	complemented
71	#5678	C₂²	1	8	yes	complemented
72	#5666	C₂²	1	8	yes	complemented
73	#5663	C₂²	1	8	yes	complemented
74	#5661	C₂²	1	8	yes	complemented
75	#5658	C₂²	1	8	yes	complemented
76	#5658	C₂²	1	8	yes	complemented
77	#5657	C₂²	1	8	yes	complemented
78	#5653	C₂²	1	8	yes	complemented
79	D₃×#123	C₂²	1	8	yes	complemented
80	#5647	C₂²	1	8	yes	complemented
81	#5644	C₂²	1	8	yes	complemented
82	#5638	C₂²	1	8	yes	complemented
83	#5637	C₂²	1	8	yes	complemented
84	#5620	C₂²	1	8	yes	complemented
85	#5620	C₂²	1	8	yes	complemented
86	#5619	C₂²	1	4	yes	complemented
87	#5618	C₂²	1	4	yes	complemented
88	#5617	C₂²	1	4	yes	complemented
89	#5617	C₂²	1	4	yes	complemented
90	#5617	C₂²	1	4	yes	complemented
91	#5615	C₂²	1	8	yes	complemented
92	#5612	C₂²	1	4	yes	complemented
93	#5610	C₂²	1	8	yes	complemented
94	#5609	C₂²	1	4	yes	complemented
95	#5609	C₂²	1	8	yes	complemented
96	#5609	C₂²	1	4	yes	complemented
97	#5609	C₂²	1	4	yes	complemented
98	#5609	C₂²	1	4	yes	complemented
99	#5609	C₂²	1	8	yes	complemented
100	#5608	C₂²	1	4	yes	complemented
101	#5607	C₂²	1	4	yes	complemented
102	#5607	C₂²	1	4	yes	complemented
103	#5606	C₂²	1	4	yes	complemented
104	#5606	C₂²	1	4	yes	complemented
105	#5606	C₂²	1	4	yes	complemented
106	#5605	C₂²	1	8	yes	complemented
107	#5605	C₂²	1	4	yes	complemented
108	#5605	C₂²	1	4	yes	complemented
109	D₃×#121	C₂²	1	4	yes	complemented
110	D₃×#121	C₂²	1	4	yes	complemented
111	#5602	C₂²	1	4	yes	complemented
112	#5601	C₂²	1	8	yes	complemented
113	#5600	C₂²	1	4	yes	complemented
114	#5599	C₂²	1	4	yes	complemented
115	#5598	C₂²	1	4	yes	complemented
116	#5595	C₂²	1	8	yes	complemented
117	#5592	C₂²	1	8	yes	complemented
118	#5591	C₂²	1	8	yes	complemented
119	#5591	C₂²	1	8	yes	complemented
120	#5590	C₂²	1	8	yes	complemented
121	#5589	C₂²	1	8	yes	complemented
122	#5589	C₂²	1	8	yes	complemented
123	D₃×#120	C₂²	1	8	yes	complemented
124	#5564	C₂²	1	4	yes	complemented
125	#5562	C₂²	1	4	yes	complemented
126	#5560	C₂²	1	4	yes	complemented
127	#5560	C₂²	1	8	yes	complemented
128	#5559	C₂²	1	4	yes	complemented
129	#5558	C₂²	1	4	yes	complemented
130	#5554	C₂²	1	4	yes	complemented
131	#5554	C₂²	1	4	yes	complemented
132	#5550	C₂²	1	4	yes	complemented
133	#5550	C₂²	1	4	yes	complemented
134	#5550	C₂²	1	8	yes	complemented
135	#5547	C₂²	1	4	yes	complemented
136	#5545	C₂²	1	4	yes	complemented
137	#5538	C₂²	1	4	yes	complemented
138	#5515	C₂²	1	2	yes	complemented
139	#5514	C₂²	1	4	yes	complemented
140	#5513	C₂²	1	4	yes	complemented
141	#5510	C₂²	1	2	yes	complemented
142	C₂×#895	C₂²	1	2	yes	complemented
143	C₂×#894	C₂²	1	2	yes	complemented
144	#5504	C₂²	1	2	yes	complemented
145	C₂×#893	C₂²	1	2	yes	complemented
146	#5495	C₂²	1	8	yes	complemented
147	#5494	C₂²	1	2	yes	complemented
148	#5494	C₂²	1	4	yes	complemented
149	#5493	C₂²	1	1	yes	characteristic, complemented
150	#5493	C₂²	1	4	yes	complemented
151	#5490	C₂²	1	8	yes	complemented
152	C₂×#884	C₂²	1	4	yes	complemented
153	C₂×#884	C₂²	1	2	yes	complemented
154	C₂×#882	C₂²	1	4	yes	complemented
155	C₂×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
156	#5483	C₂²	1	1	yes	characteristic, complemented
157	#5479	C₂²	1	2	yes	complemented
158	C₂×#875	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
160	#3558	—	3	2	no	—
161	#3543	—	3	4	no	—
162	#3542	—	3	4	no	—
163	#3537	—	3	4	no	—
164	#3537	—	3	2	no	—
165	#3534	—	3	8	no	—
166	#3534	—	3	4	no	—
167	#3532	—	3	8	no	—
168	#3519	—	3	2	no	—
169	#3513	—	3	4	no	—
170	#3505	—	3	2	no	—
171	#3496	D₃	1	1	yes	characteristic, complemented
172	#3490	—	3	2	no	—
173	#3488	—	3	2	no	—
174	#3484	—	3	4	no	—
175	#3484	—	3	4	no	—
176	C₂×#546	—	3	1	no	—
177	C₂×D₄²	—	3	2	no	—
178	#3459	—	3	1	no	—
179	C₂×#534	—	3	2	no	—
180	C₂⁴×D₃	C₂³	1	2	yes	—
181	C₂⁴×D₃	C₂³	1	4	yes	complemented
182	C₃×H(5,𝔽₂)	—	4	8	no	—
183	C₂×C₃×#41	C₂³	1	8	yes	complemented
184	C₂×C₃×#41	C₂³	1	4	yes	complemented
185	C₂²×C₃×D₄	C₂³	1	4	yes	—
186	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
187	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
188	C₂²×C₃×D₄	C₂³	1	2	yes	complemented
189	C₂²×C₃×D₄	C₂³	1	8	yes	complemented
190	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
191	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
192	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic, complemented
193	C₂²×#67	C₂³	1	2	yes	—
194	C₂²×#67	C₂³	1	2	yes	complemented
195	C₂²×#67	C₂³	1	4	yes	complemented
196	C₂²×#67	C₂³	1	4	yes	complemented
197	C₂²×#67	C₂³	1	8	yes	complemented
198	C₂²×#67	C₂³	1	4	yes	complemented
199	C₂²×#67	C₂³	1	2	yes	complemented
200	C₂²×#67	C₂³	1	8	yes	complemented
201	#1004	—	4	8	no	—
202	C₂×#237	C₂³	1	4	yes	complemented
203	C₂×#237	C₂³	1	4	yes	complemented
204	C₂×#237	C₂³	1	4	yes	complemented
205	C₂×D₃×D₄	—	4	8	no	—
206	C₂×D₃×D₄	—	4	16	no	—
207	C₂×D₃×D₄	C₂³	1	4	yes	—
208	C₂×D₃×D₄	C₂³	1	8	yes	—
209	C₂×D₃×D₄	C₂³	1	8	yes	—
210	C₂×D₃×D₄	C₂³	1	4	yes	complemented
211	C₂×D₃×D₄	C₂³	1	8	yes	complemented
212	C₂×D₃×D₄	C₂³	1	8	yes	complemented
213	C₂×D₃×D₄	C₂³	1	8	yes	complemented
214	C₂×D₃×D₄	C₂³	1	4	yes	complemented
215	C₂×D₃×D₄	C₂³	1	4	yes	complemented
216	C₂×#235	—	4	4	no	—
217	C₂×#235	C₂³	1	2	yes	—
218	C₂×#235	C₂³	1	4	yes	complemented
219	C₂×#235	C₂³	1	2	yes	complemented
220	C₂×#235	C₂³	1	2	yes	complemented
221	C₂²×D₁₂	—	4	4	no	—
222	C₂²×D₁₂	C₂³	1	1	yes	characteristic
223	C₂²×D₁₂	C₂³	1	2	yes	—
224	C₂²×D₁₂	C₂³	1	1	yes	characteristic
225	C₂²×D₁₂	C₂³	1	4	yes	—
226	C₂²×D₁₂	C₂³	1	2	yes	—
227	C₂²×D₁₂	C₂³	1	2	yes	—
228	C₂²×D₁₂	C₂³	1	4	yes	complemented
229	C₂²×C₄×D₃	C₂³	1	4	yes	complemented
230	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
231	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
232	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
233	C₂²×Dic₆	C₂³	1	1	yes	characteristic, complemented
234	C₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
235	C₃×#127	C₂³	1	2	yes	complemented
236	C₃×#124	C₂³	1	4	yes	complemented
237	C₃×#123	C₂³	1	8	yes	complemented
238	C₃×#123	C₂³	1	8	yes	complemented
239	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
240	C₃×#121	C₂³	1	4	yes	—
241	C₃×#121	C₂³	1	4	yes	—
242	C₃×#121	C₂³	1	4	yes	complemented
243	C₃×#121	C₂³	1	4	yes	complemented
244	C₃×#121	C₂³	1	4	yes	complemented
245	C₃×#121	C₂³	1	4	yes	complemented
246	C₃×#121	C₂³	1	4	yes	complemented
247	C₃×#121	C₂³	1	4	yes	complemented
248	C₃×#121	C₂³	1	8	yes	complemented
249	C₃×#120	C₂³	1	8	yes	complemented
250	C₃×#120	C₂³	1	8	yes	complemented
251	C₃×C₄×D₄	C₂³	1	4	yes	complemented
252	C₃×C₄×D₄	C₂³	1	4	yes	complemented
253	C₃×C₄×D₄	C₂³	1	4	yes	complemented
254	C₃×C₄×D₄	C₂³	1	4	yes	complemented
255	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
256	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
257	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
258	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
260	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
261	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
262	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
263	#953	C₂³	1	8	yes	—
264	#953	C₂³	1	8	yes	complemented
265	#953	C₂³	1	4	yes	complemented
266	#953	C₂³	1	8	yes	complemented
267	C₂×#217	C₂³	1	2	yes	—
268	C₂×#217	C₂³	1	2	yes	—
269	C₂×#217	C₂³	1	8	yes	complemented
270	#947	C₂³	1	8	yes	complemented
271	#947	C₂³	1	8	yes	complemented
272	#946	C₂³	1	8	yes	complemented
273	#946	C₂³	1	8	yes	complemented
274	#940	C₂³	1	4	yes	—
275	#940	C₂³	1	8	yes	complemented
276	#940	C₂³	1	8	yes	complemented
277	#940	C₂³	1	4	yes	complemented
278	#940	C₂³	1	8	yes	complemented
279	#939	C₂³	1	4	yes	—
280	#939	C₂³	1	4	yes	—
281	#939	C₂³	1	8	yes	complemented
282	#939	C₂³	1	8	yes	complemented
283	#939	C₂³	1	8	yes	complemented
284	#939	C₂³	1	8	yes	complemented
285	#939	C₂³	1	8	yes	complemented
286	#939	C₂³	1	8	yes	complemented
287	#939	C₂³	1	8	yes	complemented
288	#939	C₂³	1	8	yes	complemented
289	#939	C₂³	1	8	yes	complemented
290	#938	C₂³	1	8	yes	complemented
291	#938	C₂³	1	8	yes	complemented
292	#938	C₂³	1	4	yes	complemented
293	#938	C₂³	1	4	yes	complemented
294	#938	C₂³	1	4	yes	complemented
295	#938	C₂³	1	4	yes	complemented
296	#938	C₂³	1	4	yes	complemented
297	#937	C₂³	1	8	yes	—
298	#937	C₂³	1	8	yes	—
299	#937	C₂³	1	8	yes	complemented
300	#937	C₂³	1	8	yes	complemented
301	#937	C₂³	1	8	yes	complemented
302	#937	C₂³	1	8	yes	complemented
303	#937	C₂³	1	8	yes	complemented
304	#937	C₂³	1	8	yes	complemented
305	#937	C₂³	1	8	yes	complemented
306	#937	C₂³	1	4	yes	complemented
307	#937	C₂³	1	8	yes	complemented
308	#937	C₂³	1	8	yes	complemented
309	#937	C₂³	1	8	yes	complemented
310	#937	C₂³	1	8	yes	complemented
311	#936	C₂³	1	4	yes	complemented
312	#935	C₂³	1	8	yes	complemented
313	#935	C₂³	1	4	yes	complemented
314	#935	C₂³	1	8	yes	complemented
315	D₄×Dic₃	C₂³	1	8	yes	complemented
316	D₄×Dic₃	C₂³	1	8	yes	complemented
317	D₄×Dic₃	C₂³	1	4	yes	complemented
318	D₄×Dic₃	C₂³	1	8	yes	complemented
319	D₄×Dic₃	C₂³	1	8	yes	complemented
320	#930	C₂³	1	2	yes	—
321	#930	C₂³	1	2	yes	—
322	#930	C₂³	1	8	yes	complemented
323	#930	C₂³	1	8	yes	complemented
324	#930	C₂³	1	8	yes	complemented
325	#930	C₂³	1	8	yes	complemented
326	#930	C₂³	1	2	yes	complemented
327	#930	C₂³	1	4	yes	complemented
328	#930	C₂³	1	4	yes	complemented
329	#929	C₂³	1	8	yes	—
330	#929	C₂³	1	8	yes	complemented
331	#929	C₂³	1	8	yes	complemented
332	#929	C₂³	1	4	yes	complemented
333	#929	C₂³	1	4	yes	complemented
334	C₄×#67	C₂³	1	4	yes	—
335	C₄×#67	C₂³	1	4	yes	—
336	C₄×#67	C₂³	1	8	yes	complemented
337	C₄×#67	C₂³	1	8	yes	complemented
338	C₄×#67	C₂³	1	8	yes	complemented
339	C₄×#67	C₂³	1	8	yes	complemented
340	C₄×#67	C₂³	1	4	yes	complemented
341	C₄×#67	C₂³	1	4	yes	complemented
342	C₄×#67	C₂³	1	4	yes	complemented
343	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
344	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
345	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
346	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
347	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
348	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
349	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
350	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
351	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
352	#926	C₂³	1	8	yes	complemented
353	#926	C₂³	1	2	yes	complemented
354	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
355	#924	C₂³	1	2	yes	complemented
356	#924	C₂³	1	2	yes	complemented
357	#924	C₂³	1	2	yes	complemented
358	#924	C₂³	1	4	yes	complemented
359	#924	C₂³	1	4	yes	complemented
360	C₂×Dic₃⋊C₄	C₂³	1	2	yes	complemented
361	C₂×Dic₃⋊C₄	C₂³	1	2	yes	complemented
362	C₂×C₄×Dic₃	C₂³	1	2	yes	complemented
363	#898	C₂³	1	4	yes	complemented
364	#898	C₂³	1	8	yes	complemented
365	#898	C₂³	1	8	yes	complemented
366	#898	C₂³	1	8	yes	complemented
367	#897	C₂³	1	4	yes	complemented
368	#897	C₂³	1	4	yes	complemented
369	#897	C₂³	1	4	yes	complemented
370	#896	C₂³	1	4	yes	complemented
371	#895	C₂³	1	4	yes	—
372	#895	C₂³	1	4	yes	complemented
373	#895	C₂³	1	8	yes	complemented
374	#895	C₂³	1	4	yes	complemented
375	#895	C₂³	1	4	yes	complemented
376	#894	C₂³	1	8	yes	complemented
377	#894	C₂³	1	8	yes	complemented
378	#894	C₂³	1	4	yes	complemented
379	#894	C₂³	1	8	yes	complemented
380	#894	C₂³	1	8	yes	complemented
381	#893	C₂³	1	4	yes	—
382	#893	C₂³	1	8	yes	complemented
383	#893	C₂³	1	4	yes	complemented
384	#892	C₂³	1	4	yes	complemented
385	#892	C₂³	1	4	yes	complemented
386	#892	C₂³	1	4	yes	complemented
387	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
388	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
389	#890	C₂³	1	4	yes	complemented
390	#889	C₂³	1	4	yes	complemented
391	#889	C₂³	1	8	yes	complemented
392	#887	C₂³	1	4	yes	complemented
393	#886	C₂³	1	4	yes	—
394	#886	C₂³	1	8	yes	complemented
395	#886	C₂³	1	8	yes	complemented
396	#886	C₂³	1	8	yes	complemented
397	#885	C₂³	1	8	yes	complemented
398	#885	C₂³	1	4	yes	complemented
399	#885	C₂³	1	8	yes	complemented
400	#885	C₂³	1	8	yes	complemented
401	#884	C₂³	1	8	yes	—
402	#884	C₂³	1	8	yes	complemented
403	#884	C₂³	1	8	yes	complemented
404	#884	C₂³	1	8	yes	complemented
405	#884	C₂³	1	8	yes	complemented
406	#884	C₂³	1	8	yes	complemented
407	#884	C₂³	1	4	yes	complemented
408	#884	C₂³	1	8	yes	complemented
409	#884	C₂³	1	8	yes	complemented
410	#883	C₂³	1	8	yes	complemented
411	#883	C₂³	1	8	yes	complemented
412	#883	C₂³	1	8	yes	complemented
413	#883	C₂³	1	8	yes	complemented
414	#883	C₂³	1	8	yes	complemented
415	#883	C₂³	1	4	yes	complemented
416	#882	C₂³	1	8	yes	—
417	#882	C₂³	1	4	yes	—
418	#882	C₂³	1	8	yes	complemented
419	#882	C₂³	1	8	yes	complemented
420	#882	C₂³	1	8	yes	complemented
421	#882	C₂³	1	8	yes	complemented
422	#882	C₂³	1	8	yes	complemented
423	#67⋊C₄	C₂³	1	8	yes	complemented
424	#67⋊C₄	C₂³	1	8	yes	complemented
425	#67⋊C₄	C₂³	1	8	yes	complemented
426	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
427	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
428	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
429	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
430	#879	C₂³	1	8	yes	complemented
431	#879	C₂³	1	4	yes	complemented
432	#879	C₂³	1	8	yes	complemented
433	#878	C₂³	1	4	yes	complemented
434	#878	C₂³	1	4	yes	complemented
435	#878	C₂³	1	8	yes	complemented
436	#877	C₂³	1	8	yes	complemented
437	#876	C₂³	1	4	yes	complemented
438	#875	C₂³	1	2	yes	complemented
439	#875	C₂³	1	4	yes	complemented
440	#875	C₂³	1	4	yes	complemented
441	C₄×D₁₂	C₂³	1	2	yes	—
442	C₄×D₁₂	C₂³	1	4	yes	complemented
443	C₄×D₁₂	C₂³	1	2	yes	complemented
444	C₄×D₁₂	C₂³	1	2	yes	complemented
445	#872	C₂³	1	4	yes	complemented
446	#870	C₂³	1	2	yes	complemented
447	C₄×Dic₆	C₂³	1	2	yes	complemented
448	C₂×H(5,𝔽₂)	—	3	2	no	—
449	C₂×H(5,𝔽₂)	C₂×D₃	1	2	yes	complemented
450	C₂²×#41	—	3	1	no	—
451	C₂³×D₄	—	3	4	no	—
452	C₂³×D₄	—	3	2	no	—
453	C₂³×D₄	—	3	1	no	—
454	#562	—	3	4	no	—
455	#562	—	3	8	no	—
456	H(3,𝔽₄)	—	3	4	no	—
457	#560	—	3	8	no	—
458	#560	—	3	8	no	—
459	#560	—	3	8	no	—
460	#560	—	3	8	no	—
461	#559	—	3	4	no	—
462	#555	—	3	2	no	—
463	#554	—	3	2	no	—
464	#553	—	3	8	no	—
465	#553	—	3	4	no	—
466	#553	—	3	8	no	—
467	#553	—	3	4	no	—
468	#553	—	3	4	no	—
469	#552	—	3	4	no	—
470	#551	—	3	8	no	—
471	#551	—	3	8	no	—
472	#551	—	3	8	no	—
473	#551	—	3	8	no	—
474	#550	—	3	2	no	—
475	#550	—	3	4	no	—
476	#548	—	3	4	no	—
477	#547	C₂×D₃	1	4	yes	complemented
478	#546	—	3	8	no	—
479	#546	—	3	8	no	—
480	#546	—	3	8	no	—
481	#546	—	3	8	no	—
482	#546	—	3	4	no	—
483	#546	—	3	4	no	—
484	#546	—	3	8	no	—
485	#546	—	3	8	no	—
486	#546	—	3	8	no	—
487	#546	—	3	4	no	—
488	#546	—	3	8	no	—
489	#546	—	3	4	no	—
490	#546	—	3	4	no	—
491	#546	—	3	4	no	—
492	#546	—	3	8	no	—
493	#546	C₂×D₃	1	8	yes	complemented
494	D₄²	—	3	8	no	—
495	D₄²	—	3	8	no	—
496	D₄²	—	3	8	no	—
497	D₄²	—	3	8	no	—
498	D₄²	—	3	4	no	—
499	D₄²	—	3	2	no	—
500	D₄²	—	3	4	no	—
501	D₄²	—	3	8	no	—
502	D₄²	—	3	4	no	—
503	D₄²	—	3	4	no	—
504	D₄²	—	3	8	no	—
505	D₄²	—	3	4	no	—
506	D₄²	—	3	8	no	—
507	D₄²	C₂×D₃	1	4	yes	complemented
508	#543	—	3	1	no	—
509	#542	—	3	4	no	—
510	#540	—	3	8	no	—
511	#540	—	3	4	no	—
512	#540	—	3	8	no	—
513	#540	—	3	4	no	—
514	#539	—	3	8	no	—
515	#539	—	3	4	no	—
516	#539	—	3	4	no	—
517	#539	—	3	2	no	—
518	#538	—	3	8	no	—
519	#538	—	3	8	no	—
520	#538	—	3	8	no	—
521	#538	—	3	4	no	—
522	#538	—	3	4	no	—
523	#538	—	3	4	no	—
524	#538	—	3	4	no	—
525	#538	—	3	8	no	—
526	#538	—	3	2	no	—
527	#538	—	3	4	no	—
528	#537	—	3	4	no	—
529	#537	—	3	2	no	—
530	#537	C₂×D₃	1	2	yes	complemented
531	#535	—	3	8	no	—
532	#535	—	3	2	no	—
533	#535	—	3	4	no	—
534	#535	—	3	4	no	—
535	#535	—	3	4	no	—
536	#535	—	3	8	no	—
537	#534	—	3	4	no	—
538	#534	—	3	2	no	—
539	#534	—	3	8	no	—
540	#534	—	3	8	no	—
541	#534	—	3	4	no	—
542	#534	—	3	4	no	—
543	#534	—	3	8	no	—
544	#534	—	3	8	no	—
545	#534	—	3	8	no	—
546	#534	—	3	1	no	—
547	#534	—	3	4	no	—
548	#534	C₂×D₃	1	2	yes	complemented
549	#534	C₂×D₃	1	2	yes	complemented
550	#532	C₂×D₃	1	2	yes	complemented
551	C₂×#127	—	3	2	no	—
552	#529	—	3	4	no	—
553	#529	—	3	4	no	—
554	#529	—	3	2	no	—
555	C₂×#124	—	3	1	no	—
556	#525	—	3	8	no	—
557	#525	—	3	2	no	—
558	#525	—	3	4	no	—
559	#525	—	3	4	no	—
560	#525	—	3	4	no	—
561	#525	—	3	4	no	—
562	C₂×#123	—	3	8	no	—
563	C₂×#123	—	3	2	no	—
564	C₂×C₂²⋊Q₈	—	3	1	no	—
565	C₂×#121	—	3	1	no	—
566	C₂×#121	—	3	4	no	—
567	C₂×#121	—	3	4	no	—
568	C₂×#121	—	3	2	no	—
569	C₂×#121	—	3	4	no	—
570	C₂×#121	—	3	2	no	—
571	C₂×#121	C₂×D₃	1	2	yes	complemented
572	C₂×#121	C₂×D₃	1	2	yes	complemented
573	C₂×#120	—	3	4	no	—
574	C₂×#120	—	3	2	no	—
575	C₂×#120	—	3	8	no	—
576	C₂×#120	—	3	8	no	—
577	C₂×#120	—	3	4	no	—
578	#520	—	3	2	no	—
579	#518	—	3	4	no	—
580	#518	—	3	4	no	—
581	C₂×C₄×D₄	—	3	2	no	—
582	C₂×C₄×D₄	—	3	2	no	—
583	C₂×C₄×D₄	—	3	1	no	—
584	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
585	C₂²×C₂²⋊C₄	—	3	2	no	—
586	C₂⁴×C₃	C₂⁴	1	4	yes	—
587	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
588	C₂⁴×C₃	C₂⁴	1	4	yes	—
589	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
590	C₂³×D₃	—	2	8	no	—
591	C₂³×D₃	—	4	4	no	—
592	C₂³×D₃	—	4	8	no	—
593	C₂³×D₃	—	4	8	no	—
594	C₂³×D₃	—	8	2	no	—
595	C₂³×D₃	—	8	4	no	—
596	C₂³×D₃	C₂⁴	1	4	yes	—
597	C₂³×D₃	C₂⁴	1	2	yes	—
598	C₂³×D₃	C₂⁴	1	8	yes	—
599	C₂³×D₃	C₂⁴	1	4	yes	—
600	C₂³×D₃	C₂⁴	1	2	yes	—
601	C₂³×D₃	C₂⁴	1	2	yes	—
602	C₂³×D₃	C₂⁴	1	8	yes	—
603	C₃×#41	—	4	16	no	—
604	C₃×#41	—	4	8	no	—
605	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
606	C₂×C₃×D₄	—	2	16	no	—
607	C₂×C₃×D₄	—	2	4	no	—
608	C₂×C₃×D₄	—	4	4	no	—
609	C₂×C₃×D₄	—	4	4	no	—
610	C₂×C₃×D₄	—	4	8	no	—
611	C₂×C₃×D₄	—	4	16	no	—
612	C₂×C₃×D₄	C₂⁴	1	8	yes	—
613	C₂×C₃×D₄	C₂⁴	1	8	yes	—
614	C₂×C₃×D₄	C₂⁴	1	4	yes	—
615	C₂×C₃×D₄	C₂⁴	1	4	yes	—
616	C₂×C₃×D₄	C₂⁴	1	4	yes	—
617	C₂×C₃×D₄	C₂⁴	1	4	yes	—
618	C₂×C₃×D₄	C₂⁴	1	8	yes	—
619	C₂×C₃×D₄	C₂⁴	1	4	yes	—
620	C₂×C₃×D₄	C₂⁴	1	4	yes	—
621	C₂²×C₃×C₄	—	4	2	no	—
622	C₂²×C₃×C₄	—	4	2	no	—
623	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
624	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
625	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
626	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
627	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
628	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
629	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
630	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
631	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
633	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
634	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
635	C₂×#67	—	2	8	no	—
636	C₂×#67	—	4	8	no	—
637	C₂×#67	—	4	4	no	—
638	C₂×#67	—	4	8	no	—
639	C₂×#67	—	4	16	no	—
640	C₂×#67	—	8	2	no	—
641	C₂×#67	—	8	8	no	—
642	C₂×#67	—	8	4	no	—
643	C₂×#67	C₂⁴	1	8	yes	—
644	C₂×#67	C₂⁴	1	4	yes	—
645	C₂×#67	C₂⁴	1	4	yes	—
646	C₂×#67	C₂⁴	1	4	yes	—
647	C₂×#67	C₂⁴	1	8	yes	—
648	C₂×#67	C₂⁴	1	8	yes	—
649	C₂×#67	C₂⁴	1	8	yes	—
650	C₂×#67	C₂⁴	1	8	yes	—
651	C₂×#67	C₂⁴	1	8	yes	—
652	C₂×#67	C₂⁴	1	4	yes	—
653	C₂×#67	C₂⁴	1	8	yes	—
654	C₂×#67	C₂⁴	1	8	yes	—
655	C₂×#67	C₂⁴	1	8	yes	—
656	C₂×#67	C₂⁴	1	4	yes	—
657	C₂×#67	C₂⁴	1	4	yes	—
658	C₂²×Dic₃	C₂⁴	1	2	yes	—
659	C₂²×Dic₃	C₂⁴	1	8	yes	—
660	C₂²×Dic₃	C₂⁴	1	2	yes	—
661	C₂²×Dic₃	C₂⁴	1	2	yes	—
662	C₂²×Dic₃	C₂⁴	1	8	yes	—
663	C₂²×Dic₃	C₂⁴	1	2	yes	—
664	C₂²×Dic₃	C₂⁴	1	2	yes	—
665	#237	—	4	8	no	—
666	#237	—	4	8	no	—
667	#237	—	8	4	no	—
668	D₃×D₄	—	2	16	no	—
669	D₃×D₄	—	4	8	no	—
670	D₃×D₄	—	4	8	no	—
671	D₃×D₄	—	4	16	no	—
672	D₃×D₄	—	4	16	no	—
673	D₃×D₄	—	4	16	no	—
674	D₃×D₄	—	4	16	no	—
675	D₃×D₄	—	4	16	no	—
676	D₃×D₄	—	8	4	no	—
677	#235	—	2	8	no	—
678	#235	—	4	4	no	—
679	#235	—	4	4	no	—
680	#235	—	4	8	no	—
681	C₂×D₁₂	—	2	4	no	—
682	C₂×D₁₂	—	2	8	no	—
683	C₂×D₁₂	—	4	4	no	—
684	C₂×D₁₂	—	4	2	no	—
685	C₂×D₁₂	—	4	8	no	—
686	C₂×D₁₂	—	4	4	no	—
687	C₂×D₁₂	—	4	8	no	—
688	C₂×D₁₂	C₂⁴	1	2	yes	—
689	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
690	C₂×D₁₂	C₂⁴	1	2	yes	—
691	C₂×D₁₂	C₂⁴	1	4	yes	—
692	C₂×D₁₂	C₂⁴	1	2	yes	—
693	C₂×D₁₂	C₂⁴	1	2	yes	—
694	C₂×D₁₂	C₂⁴	1	2	yes	—
695	C₂×D₁₂	C₂⁴	1	8	yes	—
696	C₂×D₁₂	C₂⁴	1	4	yes	—
697	C₂×D₁₂	C₂⁴	1	8	yes	—
698	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
699	C₂×C₄×D₃	—	4	4	no	—
700	C₂×C₄×D₃	—	4	4	no	—
701	C₂×C₄×D₃	—	4	8	no	—
702	C₂×C₄×D₃	—	8	2	no	—
703	C₂×C₄×D₃	C₂⁴	1	4	yes	—
704	C₂×C₄×D₃	C₂⁴	1	4	yes	—
705	C₂×C₄×D₃	C₂⁴	1	4	yes	—
706	C₂×C₄×D₃	C₂⁴	1	4	yes	—
707	C₂×C₄×D₃	C₂⁴	1	4	yes	—
708	C₂×C₄×D₃	C₂⁴	1	8	yes	—
709	C₂×C₄×D₃	C₂⁴	1	4	yes	—
710	C₂×C₄×D₃	C₂⁴	1	8	yes	—
711	C₂×Dic₆	—	4	2	no	—
712	C₂×Dic₆	C₂⁴	1	2	yes	—
713	C₂×Dic₆	C₂⁴	1	2	yes	—
714	C₂×Dic₆	C₂⁴	1	2	yes	—
715	C₂×Dic₆	C₂⁴	1	2	yes	—
716	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
720	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
721	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
722	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
726	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₃×C₄²	C₂⁴	1	2	yes	—
728	C₃×C₄²	C₂⁴	1	2	yes	—
729	#217	C₂⁴	1	8	yes	—
730	#217	C₂⁴	1	4	yes	—
731	#217	C₂⁴	1	8	yes	—
732	#217	C₂⁴	1	8	yes	—
733	#217	C₂⁴	1	8	yes	—
734	#217	C₂⁴	1	4	yes	—
735	#217	C₂⁴	1	4	yes	—
736	#217	C₂⁴	1	8	yes	—
737	#217	C₂⁴	1	4	yes	—
738	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
739	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
740	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
741	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
742	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
743	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
744	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
745	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
746	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
747	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
748	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
749	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
750	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
751	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
752	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
753	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
754	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
755	C₄⋊Dic₃	C₂⁴	1	2	yes	—
756	C₄⋊Dic₃	C₂⁴	1	2	yes	—
757	C₄⋊Dic₃	C₂⁴	1	2	yes	—
758	C₄⋊Dic₃	C₂⁴	1	2	yes	—
759	C₄⋊Dic₃	C₂⁴	1	2	yes	—
760	C₄⋊Dic₃	C₂⁴	1	8	yes	—
761	C₄⋊Dic₃	C₂⁴	1	8	yes	—
762	C₄⋊Dic₃	C₂⁴	1	2	yes	—
763	Dic₃⋊C₄	C₂⁴	1	4	yes	—
764	Dic₃⋊C₄	C₂⁴	1	4	yes	—
765	Dic₃⋊C₄	C₂⁴	1	4	yes	—
766	Dic₃⋊C₄	C₂⁴	1	4	yes	—
767	Dic₃⋊C₄	C₂⁴	1	8	yes	—
768	Dic₃⋊C₄	C₂⁴	1	8	yes	—
769	Dic₃⋊C₄	C₂⁴	1	4	yes	—
770	Dic₃⋊C₄	C₂⁴	1	8	yes	—
771	Dic₃⋊C₄	C₂⁴	1	4	yes	—
772	C₄×Dic₃	C₂⁴	1	4	yes	—
773	C₄×Dic₃	C₂⁴	1	4	yes	—
774	C₄×Dic₃	C₂⁴	1	8	yes	—
775	C₄×Dic₃	C₂⁴	1	8	yes	—
776	C₂⁵	—	3	2	no	—
777	C₂⁵	—	3	4	no	—
778	H(5,𝔽₂)	—	4	8	no	—
779	H(5,𝔽₂)	—	12	8	no	—
780	C₂×#41	—	3	4	no	—
781	C₂×#41	—	3	4	no	—
782	C₂×#41	—	3	4	no	—
783	C₂×#41	—	3	2	no	—
784	C₂×#41	—	3	2	no	—
785	C₂×#41	—	3	4	no	—
786	C₂×#41	—	3	2	no	—
787	C₂×#41	—	12	4	no	—
788	C₂×#41	C₂²×D₃	1	8	yes	complemented
789	C₂×#41	C₂²×D₃	1	4	yes	complemented
790	C₂²×Q₈	—	3	1	no	—
791	C₂²×D₄	—	3	2	no	—
792	C₂²×D₄	—	3	2	no	—
793	C₂²×D₄	—	3	4	no	—
794	C₂²×D₄	—	3	8	no	—
795	C₂²×D₄	—	3	4	no	—
796	C₂²×D₄	—	3	4	no	—
797	C₂²×D₄	—	3	2	no	—
798	C₂²×D₄	—	3	8	no	—
799	C₂²×D₄	—	3	4	no	—
800	C₂²×D₄	—	3	4	no	—
801	C₂²×D₄	—	3	8	no	—
802	C₂²×D₄	—	3	8	no	—
803	C₂²×D₄	—	3	8	no	—
804	C₂²×D₄	—	3	8	no	—
805	C₂²×D₄	—	3	8	no	—
806	C₂²×D₄	—	3	4	no	—
807	C₂²×D₄	—	3	4	no	—
808	C₂²×D₄	—	3	1	no	—
809	C₂²×D₄	—	3	2	no	—
810	C₂²×D₄	—	3	4	no	—
811	C₂²×D₄	—	3	4	no	—
812	C₂²×D₄	—	3	2	no	—
813	C₂²×D₄	—	3	1	no	—
814	C₂²×D₄	—	3	2	no	—
815	C₂²×D₄	—	12	4	no	—
816	C₂²×D₄	—	12	16	no	—
817	C₂²×D₄	—	12	8	no	—
818	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
819	C₂²×D₄	C₂²×D₃	1	4	yes	—
820	C₂²×D₄	C₂²×D₃	1	8	yes	complemented
821	C₂²×D₄	C₂²×D₃	1	2	yes	complemented
822	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
823	C₂²×D₄	C₂²×D₃	1	2	yes	complemented
824	C₂³×C₄	—	3	2	no	—
825	C₂³×C₄	—	3	4	no	—
826	C₂³×C₄	—	3	2	no	—
827	C₂³×C₄	—	3	2	no	—
828	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
829	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic, complemented
830	C₄⋊Q₈	C₂²×D₃	1	2	yes	complemented
831	#127	—	3	4	no	—
832	#127	—	3	4	no	—
833	#127	—	3	8	no	—
834	#127	—	3	8	no	—
835	#127	—	3	8	no	—
836	#127	C₂²×D₃	1	2	yes	complemented
837	#126	—	3	4	no	—
838	#126	—	3	8	no	—
839	#126	—	3	8	no	—
840	#126	—	3	8	no	—
841	#126	—	3	8	no	—
842	#126	—	3	4	no	—
843	#126	—	3	8	no	—
844	#126	—	3	4	no	—
845	#125	—	3	4	no	—
846	#125	—	3	4	no	—
847	#125	—	3	8	no	—
848	#125	—	3	2	no	—
849	#124	—	3	8	no	—
850	#124	—	3	8	no	—
851	#124	—	3	4	no	—
852	#124	—	3	4	no	—
853	#124	—	3	8	no	—
854	#124	—	3	8	no	—
855	#124	—	3	8	no	—
856	#124	—	3	4	no	—
857	#124	—	3	4	no	—
858	#124	—	3	2	no	—
859	#124	C₂²×D₃	1	4	yes	complemented
860	#123	—	3	8	no	—
861	#123	—	3	4	no	—
862	#123	—	3	8	no	—
863	#123	—	3	8	no	—
864	#123	—	3	4	no	—
865	#123	—	3	4	no	—
866	#123	—	3	8	no	—
867	#123	—	3	8	no	—
868	#123	—	3	8	no	—
869	#123	—	3	8	no	—
870	#123	—	3	8	no	—
871	#123	—	3	8	no	—
872	#123	—	3	4	no	—
873	#123	—	3	4	no	—
874	#123	—	3	8	no	—
875	#123	—	3	8	no	—
876	#123	—	3	4	no	—
877	#123	—	3	8	no	—
878	#123	—	3	8	no	—
879	#123	—	3	8	no	—
880	#123	—	3	8	no	—
881	#123	—	3	8	no	—
882	#123	—	3	8	no	—
883	#123	C₂²×D₃	1	8	yes	complemented
884	#123	C₂²×D₃	1	8	yes	complemented
885	C₂²⋊Q₈	—	3	8	no	—
886	C₂²⋊Q₈	—	3	8	no	—
887	C₂²⋊Q₈	—	3	4	no	—
888	C₂²⋊Q₈	—	3	4	no	—
889	C₂²⋊Q₈	—	3	2	no	—
890	C₂²⋊Q₈	—	3	2	no	—
891	C₂²⋊Q₈	—	3	2	no	—
892	C₂²⋊Q₈	—	3	4	no	—
893	C₂²⋊Q₈	—	3	4	no	—
894	C₂²⋊Q₈	—	3	4	no	—
895	C₂²⋊Q₈	—	3	4	no	—
896	C₂²⋊Q₈	—	3	4	no	—
897	C₂²⋊Q₈	—	3	4	no	—
898	C₂²⋊Q₈	—	3	8	no	—
899	C₂²⋊Q₈	C₂²×D₃	1	8	yes	complemented
900	#121	—	3	4	no	—
901	#121	—	3	8	no	—
902	#121	—	3	8	no	—
903	#121	—	3	4	no	—
904	#121	—	3	4	no	—
905	#121	—	3	8	no	—
906	#121	—	3	4	no	—
907	#121	—	3	4	no	—
908	#121	—	3	4	no	—
909	#121	—	3	8	no	—
910	#121	—	3	4	no	—
911	#121	—	3	8	no	—
912	#121	—	3	8	no	—
913	#121	—	3	8	no	—
914	#121	—	3	8	no	—
915	#121	—	3	8	no	—
916	#121	—	3	8	no	—
917	#121	—	3	8	no	—
918	#121	—	3	2	no	—
919	#121	—	3	2	no	—
920	#121	—	3	4	no	—
921	#121	—	3	4	no	—
922	#121	—	3	2	no	—
923	#121	—	3	8	no	—
924	#121	—	3	8	no	—
925	#121	—	3	8	no	—
926	#121	—	3	8	no	—
927	#121	—	3	4	no	—
928	#121	—	3	4	no	—
929	#121	—	3	4	no	—
930	#121	—	3	4	no	—
931	#121	—	3	8	no	—
932	#121	—	3	8	no	—
933	#121	—	3	8	no	—
934	#121	—	3	8	no	—
935	#121	—	3	8	no	—
936	#121	—	3	8	no	—
937	#121	—	3	8	no	—
938	#121	—	3	8	no	—
939	#121	—	3	8	no	—
940	#121	—	3	4	no	—
941	#121	C₂²×D₃	1	4	yes	—
942	#121	C₂²×D₃	1	4	yes	—
943	#121	C₂²×D₃	1	4	yes	complemented
944	#121	C₂²×D₃	1	4	yes	complemented
945	#121	C₂²×D₃	1	4	yes	complemented
946	#121	C₂²×D₃	1	4	yes	complemented
947	#121	C₂²×D₃	1	4	yes	complemented
948	#121	C₂²×D₃	1	4	yes	complemented
949	#121	C₂²×D₃	1	8	yes	complemented
950	#120	—	3	8	no	—
951	#120	—	3	4	no	—
952	#120	—	3	8	no	—
953	#120	—	3	8	no	—
954	#120	—	3	8	no	—
955	#120	—	3	4	no	—
956	#120	—	3	8	no	—
957	#120	—	3	8	no	—
958	#120	—	3	8	no	—
959	#120	—	3	8	no	—
960	#120	—	3	8	no	—
961	#120	—	3	8	no	—
962	#120	—	3	8	no	—
963	#120	—	3	8	no	—
964	#120	—	3	8	no	—
965	#120	—	3	8	no	—
966	#120	—	3	8	no	—
967	#120	—	3	8	no	—
968	#120	—	3	4	no	—
969	#120	—	3	8	no	—
970	#120	—	3	8	no	—
971	#120	—	3	8	no	—
972	#120	—	3	8	no	—
973	#120	—	3	8	no	—
974	#120	—	3	8	no	—
975	#120	C₂²×D₃	1	8	yes	complemented
976	#120	C₂²×D₃	1	8	yes	complemented
977	C₄×Q₈	—	3	4	no	—
978	C₄×Q₈	—	3	2	no	—
979	C₄×D₄	—	3	8	no	—
980	C₄×D₄	—	3	8	no	—
981	C₄×D₄	—	3	8	no	—
982	C₄×D₄	—	3	8	no	—
983	C₄×D₄	—	3	4	no	—
984	C₄×D₄	—	3	4	no	—
985	C₄×D₄	—	3	4	no	—
986	C₄×D₄	—	3	4	no	—
987	C₄×D₄	—	3	4	no	—
988	C₄×D₄	—	3	8	no	—
989	C₄×D₄	—	3	8	no	—
990	C₄×D₄	—	3	4	no	—
991	C₄×D₄	—	3	8	no	—
992	C₄×D₄	—	3	8	no	—
993	C₄×D₄	—	3	4	no	—
994	C₄×D₄	—	3	8	no	—
995	C₄×D₄	—	3	4	no	—
996	C₄×D₄	—	3	8	no	—
997	C₄×D₄	—	3	8	no	—
998	C₄×D₄	—	3	8	no	—
999	C₄×D₄	—	3	2	no	—
1000	C₄×D₄	—	3	4	no	—
1001	C₄×D₄	—	3	2	no	—
1002	C₄×D₄	—	3	2	no	—
1003	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1004	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1005	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1006	C₄×D₄	C₂²×D₃	1	4	yes	complemented
1007	#117	—	3	8	no	—
1008	#117	—	3	2	no	—
1009	#117	—	3	4	no	—
1010	#117	—	3	4	no	—
1011	#117	—	3	4	no	—
1012	#117	—	3	8	no	—
1013	#117	—	3	4	no	—
1014	C₂×C₄⋊C₄	—	3	2	no	—
1015	C₂×C₄⋊C₄	—	3	1	no	—
1016	C₂×C₄⋊C₄	—	3	2	no	—
1017	C₂×C₄⋊C₄	—	3	4	no	—
1018	C₂×C₄⋊C₄	—	3	4	no	—
1019	C₂×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
1020	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1021	C₂×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
1022	C₂×C₂²⋊C₄	—	3	2	no	—
1023	C₂×C₂²⋊C₄	—	3	2	no	—
1024	C₂×C₂²⋊C₄	—	3	8	no	—
1025	C₂×C₂²⋊C₄	—	3	2	no	—
1026	C₂×C₂²⋊C₄	—	3	2	no	—
1027	C₂×C₂²⋊C₄	—	3	2	no	—
1028	C₂×C₂²⋊C₄	—	3	4	no	—
1029	C₂×C₂²⋊C₄	—	3	2	no	—
1030	C₂×C₂²⋊C₄	—	3	8	no	—
1031	C₂×C₂²⋊C₄	—	3	4	no	—
1032	C₂×C₂²⋊C₄	—	3	2	no	—
1033	C₂×C₂²⋊C₄	—	3	8	no	—
1034	C₂×C₂²⋊C₄	—	3	8	no	—
1035	C₂×C₂²⋊C₄	—	3	8	no	—
1036	C₂×C₂²⋊C₄	—	3	8	no	—
1037	C₂×C₂²⋊C₄	—	3	8	no	—
1038	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
1040	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
1041	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
1042	C₂×C₄²	—	3	2	no	—
1043	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
1044	C₂³×C₃	—	2	8	no	—
1045	C₂³×C₃	—	2	2	no	—
1046	C₂³×C₃	—	4	1	no	—
1047	C₂³×C₃	—	4	1	no	—
1048	C₂³×C₃	—	4	1	no	—
1049	C₂³×C₃	—	4	4	no	—
1050	C₂³×C₃	—	4	1	no	—
1051	C₂³×C₃	—	4	4	no	—
1052	C₂³×C₃	—	4	4	no	—
1053	C₂³×C₃	—	4	4	no	—
1054	C₂³×C₃	—	4	4	no	—
1055	C₂³×C₃	H(5,𝔽₂)	1	4	yes	complemented
1056	C₂³×C₃	C₂⁵	1	8	yes	—
1057	C₂³×C₃	C₂⁵	1	2	yes	—
1058	C₂³×C₃	C₂⁵	1	2	yes	—
1059	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1060	C₂²×D₃	—	2	8	no	—
1061	C₂²×D₃	—	2	4	no	—
1062	C₂²×D₃	—	2	4	no	—
1063	C₂²×D₃	—	2	8	no	—
1064	C₂²×D₃	—	2	4	no	—
1065	C₂²×D₃	—	2	4	no	—
1066	C₂²×D₃	—	2	8	no	—
1067	C₂²×D₃	—	2	16	no	—
1068	C₂²×D₃	—	4	2	no	—
1069	C₂²×D₃	—	4	2	no	—
1070	C₂²×D₃	—	4	4	no	—
1071	C₂²×D₃	—	4	2	no	—
1072	C₂²×D₃	—	4	4	no	—
1073	C₂²×D₃	—	4	2	no	—
1074	C₂²×D₃	—	4	8	no	—
1075	C₂²×D₃	—	4	8	no	—
1076	C₂²×D₃	—	4	8	no	—
1077	C₂²×D₃	—	4	8	no	—
1078	C₂²×D₃	—	4	4	no	—
1079	C₂²×D₃	—	4	8	no	—
1080	C₂²×D₃	—	4	2	no	—
1081	C₂²×D₃	—	8	16	no	—
1082	C₂²×D₃	—	8	32	no	—
1083	C₂²×D₃	C₂⁵	1	4	yes	—
1084	C₂²×D₃	C₂⁵	1	4	yes	—
1085	C₂²×D₃	C₂⁵	1	2	yes	—
1086	C₂²×D₃	C₂⁵	1	2	yes	—
1087	C₃×Q₈	—	4	4	no	—
1088	C₃×D₄	—	2	16	no	—
1089	C₃×D₄	—	2	16	no	—
1090	C₃×D₄	—	2	8	no	—
1091	C₃×D₄	—	2	8	no	—
1092	C₃×D₄	—	4	4	no	—
1093	C₃×D₄	—	4	4	no	—
1094	C₃×D₄	—	4	4	no	—
1095	C₃×D₄	—	4	8	no	—
1096	C₃×D₄	—	4	4	no	—
1097	C₂×C₃×C₄	—	2	8	no	—
1098	C₂×C₃×C₄	—	2	2	no	—
1099	C₂×C₃×C₄	—	2	2	no	—
1100	C₂×C₃×C₄	—	2	4	no	—
1101	C₂×C₃×C₄	—	2	4	no	—
1102	C₂×C₃×C₄	—	4	1	no	—
1103	C₂×C₃×C₄	—	4	1	no	—
1104	C₂×C₃×C₄	—	4	2	no	—
1105	C₂×C₃×C₄	—	4	1	no	—
1106	C₂×C₃×C₄	—	4	2	no	—
1107	C₂×C₃×C₄	—	4	4	no	—
1108	C₂×C₃×C₄	—	4	8	no	—
1109	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1110	C₂×C₃×C₄	C₂⁵	1	8	yes	—
1111	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1112	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1113	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1114	C₂×C₃×C₄	C₂⁵	1	2	yes	—
1115	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1116	#67	—	2	8	no	—
1117	#67	—	2	8	no	—
1118	#67	—	2	8	no	—
1119	#67	—	2	16	no	—
1120	#67	—	4	4	no	—
1121	#67	—	4	4	no	—
1122	#67	—	4	8	no	—
1123	#67	—	4	8	no	—
1124	#67	—	4	8	no	—
1125	#67	—	4	8	no	—
1126	#67	—	4	8	no	—
1127	#67	—	4	8	no	—
1128	#67	—	4	4	no	—
1129	#67	—	4	8	no	—
1130	#67	—	4	8	no	—
1131	C₂×Dic₃	—	2	4	no	—
1132	C₂×Dic₃	—	4	2	no	—
1133	C₂×Dic₃	—	4	2	no	—
1134	C₂×Dic₃	—	4	2	no	—
1135	C₂×Dic₃	—	4	8	no	—
1136	C₂×Dic₃	—	4	8	no	—
1137	C₂×Dic₃	—	4	2	no	—
1138	C₂×Dic₃	C₂⁵	1	4	yes	—
1139	C₂×Dic₃	C₂⁵	1	4	yes	—
1140	C₂×Dic₃	C₂⁵	1	4	yes	—
1141	C₂×Dic₃	C₂⁵	1	4	yes	—
1142	C₂×Dic₃	C₂⁵	1	4	yes	—
1143	D₁₂	—	2	4	no	—
1144	D₁₂	—	2	8	no	—
1145	D₁₂	—	2	2	no	—
1146	D₁₂	—	2	4	no	—
1147	D₁₂	—	4	2	no	—
1148	D₁₂	—	4	4	no	—
1149	D₁₂	—	4	8	no	—
1150	D₁₂	—	4	8	no	—
1151	D₁₂	—	4	2	no	—
1152	D₁₂	—	4	2	no	—
1153	D₁₂	H(5,𝔽₂)	1	4	yes	complemented
1154	C₄×D₃	—	2	8	no	—
1155	C₄×D₃	—	2	8	no	—
1156	C₄×D₃	—	4	4	no	—
1157	C₄×D₃	—	4	4	no	—
1158	C₄×D₃	—	4	8	no	—
1159	C₄×D₃	—	4	8	no	—
1160	C₄×D₃	—	4	4	no	—
1161	C₄×D₃	—	4	4	no	—
1162	Dic₆	—	2	4	no	—
1163	Dic₆	—	4	2	no	—
1164	Dic₆	—	4	2	no	—
1165	Dic₆	—	4	2	no	—
1166	C₂⁴	—	3	4	no	—
1167	C₂⁴	—	3	2	no	—
1168	C₂⁴	—	3	8	no	—
1169	C₂⁴	—	3	2	no	—
1170	C₂⁴	—	3	4	no	—
1171	C₂⁴	—	3	2	no	—
1172	C₂⁴	—	3	8	no	—
1173	C₂⁴	—	6	8	no	—
1174	C₂⁴	—	12	8	no	—
1175	C₂⁴	—	12	4	no	—
1176	C₂⁴	—	12	8	no	—
1177	C₂⁴	—	24	2	no	—
1178	C₂⁴	—	24	4	no	—
1179	C₂⁴	C₂³×D₃	1	4	yes	—
1180	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1181	C₂⁴	C₂³×D₃	1	4	yes	—
1182	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1183	#41	—	4	16	no	—
1184	#41	—	4	8	no	—
1185	#41	—	6	8	no	—
1186	#41	—	12	4	no	—
1187	#41	—	12	4	no	—
1188	#41	—	12	8	no	—
1189	#41	—	12	8	no	—
1190	#41	—	12	8	no	—
1191	#41	—	24	4	no	—
1192	C₂×Q₈	—	3	2	no	—
1193	C₂×Q₈	—	3	2	no	—
1194	C₂×Q₈	—	3	2	no	—
1195	C₂×Q₈	—	3	2	no	—
1196	C₂×Q₈	—	12	2	no	—
1197	C₂×Q₈	C₂³×D₃	1	4	yes	—
1198	C₂×D₄	—	2	16	no	—
1199	C₂×D₄	—	2	4	no	—
1200	C₂×D₄	—	3	4	no	—
1201	C₂×D₄	—	3	8	no	—
1202	C₂×D₄	—	3	4	no	—
1203	C₂×D₄	—	3	4	no	—
1204	C₂×D₄	—	3	8	no	—
1205	C₂×D₄	—	3	8	no	—
1206	C₂×D₄	—	3	8	no	—
1207	C₂×D₄	—	3	8	no	—
1208	C₂×D₄	—	3	4	no	—
1209	C₂×D₄	—	3	8	no	—
1210	C₂×D₄	—	3	4	no	—
1211	C₂×D₄	—	3	4	no	—
1212	C₂×D₄	—	3	8	no	—
1213	C₂×D₄	—	3	8	no	—
1214	C₂×D₄	—	3	8	no	—
1215	C₂×D₄	—	3	1	no	—
1216	C₂×D₄	—	3	2	no	—
1217	C₂×D₄	—	3	4	no	—
1218	C₂×D₄	—	3	2	no	—
1219	C₂×D₄	—	3	1	no	—
1220	C₂×D₄	—	3	2	no	—
1221	C₂×D₄	—	3	2	no	—
1222	C₂×D₄	—	3	2	no	—
1223	C₂×D₄	—	3	8	no	—
1224	C₂×D₄	—	3	8	no	—
1225	C₂×D₄	—	3	4	no	—
1226	C₂×D₄	—	4	4	no	—
1227	C₂×D₄	—	4	4	no	—
1228	C₂×D₄	—	4	16	no	—
1229	C₂×D₄	—	4	8	no	—
1230	C₂×D₄	—	6	8	no	—
1231	C₂×D₄	—	6	4	no	—
1232	C₂×D₄	—	6	16	no	—
1233	C₂×D₄	—	6	8	no	—
1234	C₂×D₄	—	12	2	no	—
1235	C₂×D₄	—	12	4	no	—
1236	C₂×D₄	—	12	8	no	—
1237	C₂×D₄	—	12	4	no	—
1238	C₂×D₄	—	12	8	no	—
1239	C₂×D₄	—	12	8	no	—
1240	C₂×D₄	—	12	8	no	—
1241	C₂×D₄	—	12	8	no	—
1242	C₂×D₄	—	12	16	no	—
1243	C₂×D₄	—	12	16	no	—
1244	C₂×D₄	—	12	16	no	—
1245	C₂×D₄	—	12	16	no	—
1246	C₂×D₄	—	12	16	no	—
1247	C₂×D₄	—	12	8	no	—
1248	C₂×D₄	—	12	4	no	—
1249	C₂×D₄	—	12	16	no	—
1250	C₂×D₄	—	24	4	no	—
1251	C₂×D₄	—	24	2	no	—
1252	C₂×D₄	—	24	4	no	—
1253	C₂×D₄	—	24	8	no	—
1254	C₂×D₄	C₂³×D₃	1	8	yes	—
1255	C₂×D₄	C₂³×D₃	1	8	yes	—
1256	C₂×D₄	C₂³×D₃	1	4	yes	—
1257	C₂×D₄	C₂³×D₃	1	4	yes	—
1258	C₂×D₄	C₂³×D₃	1	4	yes	—
1259	C₂×D₄	C₂³×D₃	1	4	yes	—
1260	C₂×D₄	C₂³×D₃	1	4	yes	—
1261	C₂×D₄	C₂³×D₃	1	8	yes	—
1262	C₂×D₄	C₂³×D₃	1	4	yes	—
1263	C₂²×C₄	—	3	2	no	—
1264	C₂²×C₄	—	3	2	no	—
1265	C₂²×C₄	—	3	2	no	—
1266	C₂²×C₄	—	3	2	no	—
1267	C₂²×C₄	—	3	2	no	—
1268	C₂²×C₄	—	3	8	no	—
1269	C₂²×C₄	—	3	8	no	—
1270	C₂²×C₄	—	3	4	no	—
1271	C₂²×C₄	—	3	4	no	—
1272	C₂²×C₄	—	3	4	no	—
1273	C₂²×C₄	—	3	8	no	—
1274	C₂²×C₄	—	3	4	no	—
1275	C₂²×C₄	—	3	4	no	—
1276	C₂²×C₄	—	3	4	no	—
1277	C₂²×C₄	—	3	8	no	—
1278	C₂²×C₄	—	4	2	no	—
1279	C₂²×C₄	—	4	2	no	—
1280	C₂²×C₄	—	12	4	no	—
1281	C₂²×C₄	—	12	8	no	—
1282	C₂²×C₄	—	12	4	no	—
1283	C₂²×C₄	—	24	2	no	—
1284	C₂²×C₄	C₂³×D₃	1	2	yes	—
1285	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₃	1	4	yes	—
1288	C₂²×C₄	C₂³×D₃	1	2	yes	—
1289	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₃	1	8	yes	—
1292	C₂²×C₄	C₂³×D₃	1	2	yes	—
1293	C₂²×C₄	C₂³×D₃	1	2	yes	—
1294	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₃	1	4	yes	—
1296	C₄⋊C₄	—	3	2	no	—
1297	C₄⋊C₄	—	3	2	no	—
1298	C₄⋊C₄	—	3	2	no	—
1299	C₄⋊C₄	—	3	8	no	—
1300	C₄⋊C₄	—	3	8	no	—
1301	C₄⋊C₄	—	3	4	no	—
1302	C₄⋊C₄	—	3	4	no	—
1303	C₄⋊C₄	—	3	2	no	—
1304	C₄⋊C₄	—	3	8	no	—
1305	C₄⋊C₄	—	3	2	no	—
1306	C₄⋊C₄	—	3	2	no	—
1307	C₄⋊C₄	—	3	8	no	—
1308	C₄⋊C₄	—	3	4	no	—
1309	C₄⋊C₄	—	3	4	no	—
1310	C₄⋊C₄	—	3	8	no	—
1311	C₄⋊C₄	—	3	4	no	—
1312	C₄⋊C₄	—	3	4	no	—
1313	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1314	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1315	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1316	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1317	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1318	C₂²⋊C₄	—	3	8	no	—
1319	C₂²⋊C₄	—	3	4	no	—
1320	C₂²⋊C₄	—	3	8	no	—
1321	C₂²⋊C₄	—	3	4	no	—
1322	C₂²⋊C₄	—	3	8	no	—
1323	C₂²⋊C₄	—	3	8	no	—
1324	C₂²⋊C₄	—	3	8	no	—
1325	C₂²⋊C₄	—	3	4	no	—
1326	C₂²⋊C₄	—	3	4	no	—
1327	C₂²⋊C₄	—	3	4	no	—
1328	C₂²⋊C₄	—	3	8	no	—
1329	C₂²⋊C₄	—	3	8	no	—
1330	C₂²⋊C₄	—	3	8	no	—
1331	C₂²⋊C₄	—	3	8	no	—
1332	C₂²⋊C₄	—	3	4	no	—
1333	C₂²⋊C₄	—	3	4	no	—
1334	C₂²⋊C₄	—	3	8	no	—
1335	C₂²⋊C₄	—	3	4	no	—
1336	C₂²⋊C₄	—	3	8	no	—
1337	C₂²⋊C₄	—	3	4	no	—
1338	C₂²⋊C₄	—	3	8	no	—
1339	C₂²⋊C₄	—	3	8	no	—
1340	C₂²⋊C₄	—	3	4	no	—
1341	C₂²⋊C₄	—	3	8	no	—
1342	C₂²⋊C₄	—	3	4	no	—
1343	C₂²⋊C₄	—	3	4	no	—
1344	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1345	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1346	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1347	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1348	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1349	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1350	C₄²	—	3	4	no	—
1351	C₄²	—	3	4	no	—
1352	C₄²	—	3	8	no	—
1353	C₄²	—	3	8	no	—
1354	C₄²	C₂³×D₃	1	2	yes	—
1355	C₄²	C₂³×D₃	1	2	yes	—
1356	C₂²×C₃	—	2	1	no	—
1357	C₂²×C₃	—	2	2	no	—
1358	C₂²×C₃	—	2	1	no	—
1359	C₂²×C₃	—	2	2	no	—
1360	C₂²×C₃	—	2	8	no	—
1361	C₂²×C₃	—	2	2	no	—
1362	C₂²×C₃	—	2	8	no	—
1363	C₂²×C₃	—	2	2	no	—
1364	C₂²×C₃	—	2	8	no	—
1365	C₂²×C₃	—	2	2	no	—
1366	C₂²×C₃	—	4	4	no	—
1367	C₂²×C₃	—	8	8	no	—
1368	C₂²×C₃	—	8	2	no	—
1369	C₂²×C₃	—	16	4	no	—
1370	C₂²×C₃	C₂×H(5,𝔽₂)	1	4	yes	—
1371	C₂²×C₃	C₂×H(5,𝔽₂)	1	2	yes	—
1372	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1373	C₂×D₃	—	2	2	no	—
1374	C₂×D₃	—	2	2	no	—
1375	C₂×D₃	—	2	4	no	—
1376	C₂×D₃	—	2	2	no	—
1377	C₂×D₃	—	2	4	no	—
1378	C₂×D₃	—	2	4	no	—
1379	C₂×D₃	—	2	4	no	—
1380	C₂×D₃	—	2	2	no	—
1381	C₂×D₃	—	2	2	no	—
1382	C₂×D₃	—	2	4	no	—
1383	C₂×D₃	—	2	4	no	—
1384	C₂×D₃	—	4	8	no	—
1385	C₂×D₃	—	4	16	no	—
1386	C₂×D₃	—	4	8	no	—
1387	C₂×D₃	—	8	16	no	—
1388	C₂×D₃	—	8	8	no	—
1389	C₂×D₃	—	8	4	no	—
1390	C₂×D₃	—	8	16	no	—
1391	C₂×D₃	C₂×H(5,𝔽₂)	1	4	yes	—
1392	C₃×C₄	—	2	1	no	—
1393	C₃×C₄	—	2	2	no	—
1394	C₃×C₄	—	2	2	no	—
1395	C₃×C₄	—	2	8	no	—
1396	C₃×C₄	—	2	2	no	—
1397	C₃×C₄	—	2	2	no	—
1398	C₃×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1399	Dic₃	—	2	4	no	—
1400	Dic₃	—	2	4	no	—
1401	Dic₃	—	2	4	no	—
1402	Dic₃	—	2	4	no	—
1403	Dic₃	—	2	4	no	—
1404	C₂³	—	2	2	no	—
1405	C₂³	—	2	8	no	—
1406	C₂³	—	3	2	no	—
1407	C₂³	—	3	4	no	—
1408	C₂³	—	3	4	no	—
1409	C₂³	—	3	2	no	—
1410	C₂³	—	4	1	no	—
1411	C₂³	—	4	1	no	—
1412	C₂³	—	4	1	no	—
1413	C₂³	—	4	4	no	—
1414	C₂³	—	4	1	no	—
1415	C₂³	—	4	4	no	—
1416	C₂³	—	4	4	no	—
1417	C₂³	—	4	4	no	—
1418	C₂³	—	4	4	no	—
1419	C₂³	—	6	4	no	—
1420	C₂³	—	6	8	no	—
1421	C₂³	—	6	16	no	—
1422	C₂³	—	6	8	no	—
1423	C₂³	—	6	4	no	—
1424	C₂³	—	6	4	no	—
1425	C₂³	—	6	4	no	—
1426	C₂³	—	6	8	no	—
1427	C₂³	—	12	2	no	—
1428	C₂³	—	12	2	no	—
1429	C₂³	—	12	4	no	—
1430	C₂³	—	12	2	no	—
1431	C₂³	—	12	2	no	—
1432	C₂³	—	12	4	no	—
1433	C₂³	—	12	8	no	—
1434	C₂³	—	12	8	no	—
1435	C₂³	—	12	8	no	—
1436	C₂³	—	12	2	no	—
1437	C₂³	—	12	4	no	—
1438	C₂³	—	12	8	no	—
1439	C₂³	—	12	8	no	—
1440	C₂³	—	24	16	no	—
1441	C₂³	—	24	32	no	—
1442	C₂³	#1004	1	4	yes	complemented
1443	C₂³	C₂⁴×D₃	1	8	yes	—
1444	C₂³	C₂⁴×D₃	1	2	yes	—
1445	C₂³	C₂⁴×D₃	1	2	yes	—
1446	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1447	Q₈	—	4	4	no	—
1448	Q₈	—	6	4	no	—
1449	Q₈	—	12	2	no	—
1450	Q₈	—	12	2	no	—
1451	Q₈	—	12	2	no	—
1452	D₄	—	2	8	no	—
1453	D₄	—	2	16	no	—
1454	D₄	—	2	16	no	—
1455	D₄	—	2	8	no	—
1456	D₄	—	3	4	no	—
1457	D₄	—	4	4	no	—
1458	D₄	—	4	8	no	—
1459	D₄	—	4	4	no	—
1460	D₄	—	4	4	no	—
1461	D₄	—	4	4	no	—
1462	D₄	—	6	8	no	—
1463	D₄	—	6	4	no	—
1464	D₄	—	6	16	no	—
1465	D₄	—	6	8	no	—
1466	D₄	—	6	8	no	—
1467	D₄	—	6	8	no	—
1468	D₄	—	6	4	no	—
1469	D₄	—	6	2	no	—
1470	D₄	—	12	8	no	—
1471	D₄	—	12	8	no	—
1472	D₄	—	12	2	no	—
1473	D₄	—	12	4	no	—
1474	D₄	—	12	2	no	—
1475	D₄	—	12	2	no	—
1476	D₄	—	12	8	no	—
1477	D₄	—	12	8	no	—
1478	D₄	—	12	8	no	—
1479	D₄	—	12	4	no	—
1480	D₄	—	12	8	no	—
1481	D₄	—	12	4	no	—
1482	D₄	—	12	8	no	—
1483	D₄	—	12	8	no	—
1484	D₄	—	12	8	no	—
1485	D₄	—	12	4	no	—
1486	D₄	—	12	8	no	—
1487	C₂×C₄	—	2	8	no	—
1488	C₂×C₄	—	2	2	no	—
1489	C₂×C₄	—	2	2	no	—
1490	C₂×C₄	—	2	4	no	—
1491	C₂×C₄	—	2	4	no	—
1492	C₂×C₄	—	3	4	no	—
1493	C₂×C₄	—	3	4	no	—
1494	C₂×C₄	—	3	4	no	—
1495	C₂×C₄	—	3	4	no	—
1496	C₂×C₄	—	3	4	no	—
1497	C₂×C₄	—	4	1	no	—
1498	C₂×C₄	—	4	2	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	2	no	—
1501	C₂×C₄	—	4	1	no	—
1502	C₂×C₄	—	4	8	no	—
1503	C₂×C₄	—	4	4	no	—
1504	C₂×C₄	—	6	8	no	—
1505	C₂×C₄	—	6	4	no	—
1506	C₂×C₄	—	6	8	no	—
1507	C₂×C₄	—	12	8	no	—
1508	C₂×C₄	—	12	8	no	—
1509	C₂×C₄	—	12	4	no	—
1510	C₂×C₄	—	12	4	no	—
1511	C₂×C₄	—	12	4	no	—
1512	C₂×C₄	—	12	4	no	—
1513	C₂×C₄	—	12	2	no	—
1514	C₂×C₄	—	12	2	no	—
1515	C₂×C₄	—	12	2	no	—
1516	C₂×C₄	—	12	8	no	—
1517	C₂×C₄	—	12	2	no	—
1518	C₂×C₄	—	12	8	no	—
1519	C₂×C₄	C₂⁴×D₃	1	8	yes	—
1520	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1521	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1522	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1523	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1524	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1525	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1526	C₂×C₃	—	2	4	no	—
1527	C₂×C₃	—	2	2	no	—
1528	C₂×C₃	—	4	8	no	—
1529	C₂×C₃	—	4	2	no	—
1530	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1531	C₂×C₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1532	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1533	D₃	—	2	4	no	—
1534	D₃	—	4	2	no	—
1535	D₃	—	4	4	no	—
1536	D₃	—	4	4	no	—
1537	C₂²	—	2	1	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	8	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	8	no	—
1545	C₂²	—	2	8	no	—
1546	C₂²	—	2	2	no	—
1547	C₂²	—	3	4	no	—
1548	C₂²	—	4	4	no	—
1549	C₂²	—	6	2	no	—
1550	C₂²	—	6	2	no	—
1551	C₂²	—	6	4	no	—
1552	C₂²	—	6	4	no	—
1553	C₂²	—	6	2	no	—
1554	C₂²	—	6	4	no	—
1555	C₂²	—	6	2	no	—
1556	C₂²	—	6	4	no	—
1557	C₂²	—	6	2	no	—
1558	C₂²	—	6	4	no	—
1559	C₂²	—	6	4	no	—
1560	C₂²	—	8	8	no	—
1561	C₂²	—	8	2	no	—
1562	C₂²	—	12	16	no	—
1563	C₂²	—	12	8	no	—
1564	C₂²	—	12	8	no	—
1565	C₂²	—	16	4	no	—
1566	C₂²	—	24	8	no	—
1567	C₂²	—	24	4	no	—
1568	C₂²	—	24	16	no	—
1569	C₂²	—	24	16	no	—
1570	C₂²	C₂×#1004	1	4	yes	—
1571	C₂²	C₂×#1004	1	2	yes	—
1572	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1573	C₄	—	2	2	no	—
1574	C₄	—	2	8	no	—
1575	C₄	—	2	1	no	—
1576	C₄	—	2	2	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	2	2	no	—
1579	C₄	—	6	4	no	—
1580	C₄	—	6	4	no	—
1581	C₄	—	6	4	no	—
1582	C₄	—	6	4	no	—
1583	C₄	—	6	4	no	—
1584	C₄	D₃×H(5,𝔽₂)	1	2	yes	—
1585	C₃	#62892	1	1	yes	characteristic, complemented, Sylow
1586	C₂	—	2	4	no	—
1587	C₂	—	2	2	no	—
1588	C₂	—	4	2	no	—
1589	C₂	—	4	8	no	—
1590	C₂	—	6	4	no	—
1591	C₂	—	12	4	no	—
1592	C₂	—	12	4	no	—
1593	C₂	—	12	2	no	—
1594	C₂	C₂²×#1004	1	1	yes	characteristic
1595	C₂	C₂×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1596	C₂	#87574	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3496	C₂
hypercenter	#3496	D₃
hypocenter	C₃	#62892
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. C₃×#3496	C₂	semidirect
2. #87284	C₂	semidirect
3. #86691	C₂	semidirect
4. #86681	C₂	semidirect
5. #86667	C₂	semidirect
6. #86645	C₂	semidirect
7. #86620	C₂	semidirect
8. #86616	C₂	semidirect
9. #86383	C₂	semidirect
10. #86309	C₂	semidirect
11. D₃×#534	C₂	semidirect
12. #86301	C₂	semidirect
13. #86254	C₂	semidirect
14. #86247	C₂	semidirect
15. #85949	C₂	semidirect
16. C₂×#5609	C₂	semidirect
17. #85938	C₂	semidirect
18. #85937	C₂	semidirect
19. C₂×#5550	C₂	semidirect
20. #85776	C₂	semidirect
22. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
23. C₂×#1004	C₂²	semidirect
24. C₂²×D₃×D₄	C₂²	semidirect
25. C₂²×D₃×D₄	C₂²	semidirect
26. C₂²×#235	C₂²	semidirect
27. C₂³×D₁₂	C₂²	semidirect
28. C₃×#547	C₂²	semidirect
29. C₃×#546	C₂²	semidirect
30. C₃×D₄²	C₂²	semidirect
31. C₃×#537	C₂²	semidirect
32. C₃×#534	C₂²	semidirect
33. C₃×#534	C₂²	semidirect
34. C₃×#532	C₂²	semidirect
35. C₂×C₃×#121	C₂²	semidirect
36. C₂×C₃×#121	C₂²	semidirect
37. C₂×C₃×C₄×D₄	C₂²	semidirect
38. #5830	C₂²	semidirect
39. #5829	C₂²	semidirect
40. #5829	C₂²	semidirect
41. #5829	C₂²	semidirect
42. #5829	C₂²	semidirect
43. #5828	C₂²	semidirect
44. #5806	C₂²	semidirect
45. #5805	C₂²	semidirect
46. #5804	C₂²	semidirect
47. #5804	C₂²	semidirect
48. #5804	C₂²	semidirect
49. C₂×#940	C₂²	semidirect
50. D₄×#67	C₂²	semidirect
51. D₄×#67	C₂²	semidirect
52. D₄×#67	C₂²	semidirect
53. D₄×#67	C₂²	semidirect
54. D₄×#67	C₂²	semidirect
55. C₂×#937	C₂²	semidirect
56. C₂×#937	C₂²	semidirect
57. C₂×#937	C₂²	semidirect
58. #5798	C₂²	semidirect
59. #5791	C₂²	semidirect
60. C₂×#930	C₂²	semidirect
61. C₂×C₄×#67	C₂²	semidirect
62. C₂×#924	C₂²	semidirect
63. #5734	C₂²	semidirect
64. #5733	C₂²	semidirect
65. #5730	C₂²	semidirect
66. #5718	C₂²	semidirect
67. #5717	C₂²	semidirect
68. #5715	C₂²	semidirect
69. #5684	C₂²	semidirect
70. #5683	C₂²	semidirect
71. #5678	C₂²	semidirect
72. #5666	C₂²	semidirect
73. #5663	C₂²	semidirect
74. #5661	C₂²	semidirect
75. #5658	C₂²	semidirect
76. #5658	C₂²	semidirect
77. #5657	C₂²	semidirect
78. #5653	C₂²	semidirect
79. D₃×#123	C₂²	semidirect
80. #5647	C₂²	semidirect
81. #5644	C₂²	semidirect
82. #5638	C₂²	semidirect
83. #5637	C₂²	semidirect
84. #5620	C₂²	semidirect
85. #5620	C₂²	semidirect
86. #5619	C₂²	semidirect
87. #5618	C₂²	semidirect
88. #5617	C₂²	semidirect
89. #5617	C₂²	semidirect
90. #5617	C₂²	semidirect
91. #5615	C₂²	semidirect
92. #5612	C₂²	semidirect
93. #5610	C₂²	semidirect
94. #5609	C₂²	semidirect
95. #5609	C₂²	semidirect
96. #5609	C₂²	semidirect
97. #5609	C₂²	semidirect
98. #5609	C₂²	semidirect
99. #5609	C₂²	semidirect
100. #5608	C₂²	semidirect
101. #5607	C₂²	semidirect
102. #5607	C₂²	semidirect
103. #5606	C₂²	semidirect
104. #5606	C₂²	semidirect
105. #5606	C₂²	semidirect
106. #5605	C₂²	semidirect
107. #5605	C₂²	semidirect
108. #5605	C₂²	semidirect
109. D₃×#121	C₂²	semidirect
110. D₃×#121	C₂²	semidirect
111. #5602	C₂²	semidirect
112. #5601	C₂²	semidirect
113. #5600	C₂²	semidirect
114. #5599	C₂²	semidirect
115. #5598	C₂²	semidirect
116. #5595	C₂²	semidirect
117. #5592	C₂²	semidirect
118. #5591	C₂²	semidirect
119. #5591	C₂²	semidirect
120. #5590	C₂²	semidirect
121. #5589	C₂²	semidirect
122. #5589	C₂²	semidirect
123. D₃×#120	C₂²	semidirect
124. #5564	C₂²	semidirect
125. #5562	C₂²	semidirect
126. #5560	C₂²	semidirect
127. #5560	C₂²	semidirect
128. #5559	C₂²	semidirect
129. #5558	C₂²	semidirect
130. #5554	C₂²	semidirect
131. #5554	C₂²	semidirect
132. #5550	C₂²	semidirect
133. #5550	C₂²	semidirect
134. #5550	C₂²	semidirect
135. #5547	C₂²	semidirect
136. #5545	C₂²	semidirect
137. #5538	C₂²	semidirect
138. #5515	C₂²	semidirect
139. #5514	C₂²	semidirect
140. #5513	C₂²	semidirect
141. #5510	C₂²	semidirect
142. C₂×#895	C₂²	semidirect
143. C₂×#894	C₂²	semidirect
144. #5504	C₂²	semidirect
145. C₂×#893	C₂²	semidirect
146. #5495	C₂²	semidirect
147. #5494	C₂²	semidirect
148. #5494	C₂²	semidirect
149. #5493	C₂²	semidirect
150. #5493	C₂²	semidirect
151. #5490	C₂²	semidirect
152. C₂×#884	C₂²	semidirect
153. C₂×#884	C₂²	semidirect
154. C₂×#882	C₂²	semidirect
155. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
156. #5483	C₂²	semidirect
157. #5479	C₂²	semidirect
158. C₂×#875	C₂²	semidirect
159. C₂×C₄×D₁₂	C₂²	semidirect
171. #3496	D₃	semidirect
181. C₂⁴×D₃	C₂³	semidirect
183. C₂×C₃×#41	C₂³	semidirect
184. C₂×C₃×#41	C₂³	semidirect
187. C₂²×C₃×D₄	C₂³	semidirect
188. C₂²×C₃×D₄	C₂³	semidirect
189. C₂²×C₃×D₄	C₂³	semidirect
190. C₂²×C₃×D₄	C₂³	semidirect
192. C₂³×C₃×C₄	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
202. C₂×#237	C₂³	semidirect
203. C₂×#237	C₂³	semidirect
204. C₂×#237	C₂³	semidirect
210. C₂×D₃×D₄	C₂³	semidirect
211. C₂×D₃×D₄	C₂³	semidirect
212. C₂×D₃×D₄	C₂³	semidirect
213. C₂×D₃×D₄	C₂³	semidirect
214. C₂×D₃×D₄	C₂³	semidirect
215. C₂×D₃×D₄	C₂³	semidirect
218. C₂×#235	C₂³	semidirect
219. C₂×#235	C₂³	semidirect
220. C₂×#235	C₂³	semidirect
228. C₂²×D₁₂	C₂³	semidirect
229. C₂²×C₄×D₃	C₂³	semidirect
230. C₂²×C₄×D₃	C₂³	semidirect
231. C₂²×C₄×D₃	C₂³	semidirect
232. C₂²×C₄×D₃	C₂³	semidirect
233. C₂²×Dic₆	C₂³	semidirect
234. C₃×C₄⋊Q₈	C₂³	semidirect
235. C₃×#127	C₂³	semidirect
236. C₃×#124	C₂³	semidirect
237. C₃×#123	C₂³	semidirect
238. C₃×#123	C₂³	semidirect
239. C₃×C₂²⋊Q₈	C₂³	semidirect
242. C₃×#121	C₂³	semidirect
243. C₃×#121	C₂³	semidirect
244. C₃×#121	C₂³	semidirect
245. C₃×#121	C₂³	semidirect
246. C₃×#121	C₂³	semidirect
247. C₃×#121	C₂³	semidirect
248. C₃×#121	C₂³	semidirect
249. C₃×#120	C₂³	semidirect
250. C₃×#120	C₂³	semidirect
251. C₃×C₄×D₄	C₂³	semidirect
252. C₃×C₄×D₄	C₂³	semidirect
253. C₃×C₄×D₄	C₂³	semidirect
254. C₃×C₄×D₄	C₂³	semidirect
255. C₂×C₃×C₄⋊C₄	C₂³	semidirect
256. C₂×C₃×C₄⋊C₄	C₂³	semidirect
257. C₂×C₃×C₄⋊C₄	C₂³	semidirect
259. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
260. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
261. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
262. C₂×C₃×C₄²	C₂³	semidirect
264. #953	C₂³	semidirect
265. #953	C₂³	semidirect
266. #953	C₂³	semidirect
269. C₂×#217	C₂³	semidirect
270. #947	C₂³	semidirect
271. #947	C₂³	semidirect
272. #946	C₂³	semidirect
273. #946	C₂³	semidirect
275. #940	C₂³	semidirect
276. #940	C₂³	semidirect
277. #940	C₂³	semidirect
278. #940	C₂³	semidirect
281. #939	C₂³	semidirect
282. #939	C₂³	semidirect
283. #939	C₂³	semidirect
284. #939	C₂³	semidirect
285. #939	C₂³	semidirect
286. #939	C₂³	semidirect
287. #939	C₂³	semidirect
288. #939	C₂³	semidirect
289. #939	C₂³	semidirect
290. #938	C₂³	semidirect
291. #938	C₂³	semidirect
292. #938	C₂³	semidirect
293. #938	C₂³	semidirect
294. #938	C₂³	semidirect
295. #938	C₂³	semidirect
296. #938	C₂³	semidirect
299. #937	C₂³	semidirect
300. #937	C₂³	semidirect
301. #937	C₂³	semidirect
302. #937	C₂³	semidirect
303. #937	C₂³	semidirect
304. #937	C₂³	semidirect
305. #937	C₂³	semidirect
306. #937	C₂³	semidirect
307. #937	C₂³	semidirect
308. #937	C₂³	semidirect
309. #937	C₂³	semidirect
310. #937	C₂³	semidirect
311. #936	C₂³	semidirect
312. #935	C₂³	semidirect
313. #935	C₂³	semidirect
314. #935	C₂³	semidirect
315. D₄×Dic₃	C₂³	semidirect
316. D₄×Dic₃	C₂³	semidirect
317. D₄×Dic₃	C₂³	semidirect
318. D₄×Dic₃	C₂³	semidirect
319. D₄×Dic₃	C₂³	semidirect
322. #930	C₂³	semidirect
323. #930	C₂³	semidirect
324. #930	C₂³	semidirect
325. #930	C₂³	semidirect
326. #930	C₂³	semidirect
327. #930	C₂³	semidirect
328. #930	C₂³	semidirect
330. #929	C₂³	semidirect
331. #929	C₂³	semidirect
332. #929	C₂³	semidirect
333. #929	C₂³	semidirect
336. C₄×#67	C₂³	semidirect
337. C₄×#67	C₂³	semidirect
338. C₄×#67	C₂³	semidirect
339. C₄×#67	C₂³	semidirect
340. C₄×#67	C₂³	semidirect
341. C₄×#67	C₂³	semidirect
342. C₄×#67	C₂³	semidirect
343. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
344. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
345. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
346. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
347. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
348. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
349. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
350. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
351. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
352. #926	C₂³	semidirect
353. #926	C₂³	semidirect
354. C₂×C₄⋊Dic₃	C₂³	semidirect
355. #924	C₂³	semidirect
356. #924	C₂³	semidirect
357. #924	C₂³	semidirect
358. #924	C₂³	semidirect
359. #924	C₂³	semidirect
360. C₂×Dic₃⋊C₄	C₂³	semidirect
361. C₂×Dic₃⋊C₄	C₂³	semidirect
362. C₂×C₄×Dic₃	C₂³	semidirect
363. #898	C₂³	semidirect
364. #898	C₂³	semidirect
365. #898	C₂³	semidirect
366. #898	C₂³	semidirect
367. #897	C₂³	semidirect
368. #897	C₂³	semidirect
369. #897	C₂³	semidirect
370. #896	C₂³	semidirect
372. #895	C₂³	semidirect
373. #895	C₂³	semidirect
374. #895	C₂³	semidirect
375. #895	C₂³	semidirect
376. #894	C₂³	semidirect
377. #894	C₂³	semidirect
378. #894	C₂³	semidirect
379. #894	C₂³	semidirect
380. #894	C₂³	semidirect
382. #893	C₂³	semidirect
383. #893	C₂³	semidirect
384. #892	C₂³	semidirect
385. #892	C₂³	semidirect
386. #892	C₂³	semidirect
387. D₃×C₄⋊C₄	C₂³	semidirect
388. D₃×C₄⋊C₄	C₂³	semidirect
389. #890	C₂³	semidirect
390. #889	C₂³	semidirect
391. #889	C₂³	semidirect
392. #887	C₂³	semidirect
394. #886	C₂³	semidirect
395. #886	C₂³	semidirect
396. #886	C₂³	semidirect
397. #885	C₂³	semidirect
398. #885	C₂³	semidirect
399. #885	C₂³	semidirect
400. #885	C₂³	semidirect
402. #884	C₂³	semidirect
403. #884	C₂³	semidirect
404. #884	C₂³	semidirect
405. #884	C₂³	semidirect
406. #884	C₂³	semidirect
407. #884	C₂³	semidirect
408. #884	C₂³	semidirect
409. #884	C₂³	semidirect
410. #883	C₂³	semidirect
411. #883	C₂³	semidirect
412. #883	C₂³	semidirect
413. #883	C₂³	semidirect
414. #883	C₂³	semidirect
415. #883	C₂³	semidirect
418. #882	C₂³	semidirect
419. #882	C₂³	semidirect
420. #882	C₂³	semidirect
421. #882	C₂³	semidirect
422. #882	C₂³	semidirect
423. #67⋊C₄	C₂³	semidirect
424. #67⋊C₄	C₂³	semidirect
425. #67⋊C₄	C₂³	semidirect
426. D₃×C₂²⋊C₄	C₂³	semidirect
427. D₃×C₂²⋊C₄	C₂³	semidirect
428. D₃×C₂²⋊C₄	C₂³	semidirect
429. D₃×C₂²⋊C₄	C₂³	semidirect
430. #879	C₂³	semidirect
431. #879	C₂³	semidirect
432. #879	C₂³	semidirect
433. #878	C₂³	semidirect
434. #878	C₂³	semidirect
435. #878	C₂³	semidirect
436. #877	C₂³	semidirect
437. #876	C₂³	semidirect
438. #875	C₂³	semidirect
439. #875	C₂³	semidirect
440. #875	C₂³	semidirect
442. C₄×D₁₂	C₂³	semidirect
443. C₄×D₁₂	C₂³	semidirect
444. C₄×D₁₂	C₂³	semidirect
445. #872	C₂³	semidirect
446. #870	C₂³	semidirect
447. C₄×Dic₆	C₂³	semidirect
449. C₂×H(5,𝔽₂)	C₂×D₃	semidirect
477. #547	C₂×D₃	semidirect
493. #546	C₂×D₃	semidirect
507. D₄²	C₂×D₃	semidirect
530. #537	C₂×D₃	semidirect
548. #534	C₂×D₃	semidirect
549. #534	C₂×D₃	semidirect
550. #532	C₂×D₃	semidirect
571. C₂×#121	C₂×D₃	semidirect
572. C₂×#121	C₂×D₃	semidirect
584. C₂×C₄×D₄	C₂×D₃	semidirect
788. C₂×#41	C₂²×D₃	semidirect
789. C₂×#41	C₂²×D₃	semidirect
820. C₂²×D₄	C₂²×D₃	semidirect
821. C₂²×D₄	C₂²×D₃	semidirect
822. C₂²×D₄	C₂²×D₃	semidirect
823. C₂²×D₄	C₂²×D₃	semidirect
829. C₂³×C₄	C₂²×D₃	semidirect
830. C₄⋊Q₈	C₂²×D₃	semidirect
836. #127	C₂²×D₃	semidirect
859. #124	C₂²×D₃	semidirect
883. #123	C₂²×D₃	semidirect
884. #123	C₂²×D₃	semidirect
899. C₂²⋊Q₈	C₂²×D₃	semidirect
943. #121	C₂²×D₃	semidirect
944. #121	C₂²×D₃	semidirect
945. #121	C₂²×D₃	semidirect
946. #121	C₂²×D₃	semidirect
947. #121	C₂²×D₃	semidirect
948. #121	C₂²×D₃	semidirect
949. #121	C₂²×D₃	semidirect
975. #120	C₂²×D₃	semidirect
976. #120	C₂²×D₃	semidirect
1003. C₄×D₄	C₂²×D₃	semidirect
1004. C₄×D₄	C₂²×D₃	semidirect
1005. C₄×D₄	C₂²×D₃	semidirect
1006. C₄×D₄	C₂²×D₃	semidirect
1019. C₂×C₄⋊C₄	C₂²×D₃	semidirect
1020. C₂×C₄⋊C₄	C₂²×D₃	semidirect
1021. C₂×C₄⋊C₄	C₂²×D₃	semidirect
1039. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1040. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1041. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1043. C₂×C₄²	C₂²×D₃	semidirect
1055. C₂³×C₃	H(5,𝔽₂)	semidirect
1153. D₁₂	H(5,𝔽₂)	semidirect
1442. C₂³	#1004	semidirect
1585. C₃	#62892	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3496	2
#87284	2
#86691	2
#86681	2
#86667	2
#86645	2
#86620	2
#86616	2
#86383	2
#86309	2
D₃×#534	2
#86301	2
#86254	2
#86247	2
#85949	2
C₂×#5609	2
#85938	2
#85937	2
C₂×#5550	2
#85776	2
#62892	3