Subgroups — #11707356

Order 768.

11596 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	C₂×#5964	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#1009	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
4	#87275	C₂	1	1	yes	maximal, characteristic, complemented
5	#87264	C₂	1	1	yes	maximal, characteristic, complemented
6	#86769	C₂	1	2	yes	maximal, complemented
7	#86745	C₂	1	2	yes	maximal, complemented
8	#86715	C₂	1	2	yes	maximal, complemented
9	#86710	C₂	1	2	yes	maximal, complemented
10	#86700	C₂	1	6	yes	maximal, complemented
11	#86665	C₂	1	6	yes	maximal, complemented
12	D₃×#546	C₂	1	6	yes	maximal, complemented
13	#86620	C₂	1	6	yes	maximal, complemented
14	#86244	C₂	1	3	yes	maximal, complemented
15	#86241	C₂	1	3	yes	maximal, complemented
16	#86042	C₂	1	3	yes	maximal, complemented
17	#86041	C₂	1	3	yes	maximal, complemented
18	#86040	C₂	1	3	yes	maximal, complemented
19	#86039	C₂	1	3	yes	maximal, complemented
20	#85847	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#1009	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×#235	C₂	1	3	yes	maximal, complemented
23	C₂×#5550	C₂	1	3	yes	maximal, complemented
24	#62987	—	3	1	no	maximal, Sylow
25	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
27	#5964	—	2	16	no	—
28	C₂×#1010	C₂²	1	3	yes	complemented
29	C₂×#1010	C₂²	1	1	yes	characteristic, complemented
30	C₂×#1009	—	2	16	no	—
31	C₂×#1009	C₂²	1	1	yes	characteristic
32	C₂×#1009	C₂²	1	3	yes	complemented
33	C₂×#1009	C₂²	1	3	yes	complemented
34	C₂×#1009	C₂²	1	1	yes	characteristic, complemented
35	C₂×#1009	C₂²	1	6	yes	complemented
36	C₂×#1009	C₂²	1	2	yes	complemented
37	C₂×#1009	C₂²	1	3	yes	complemented
38	C₂×D₃×#41	C₂²	1	6	yes	complemented
39	C₂×D₃×#41	C₂²	1	2	yes	complemented
40	C₂×#1007	C₂²	1	2	yes	complemented
41	C₂²×#239	C₂²	1	2	yes	complemented
42	C₂×#1004	C₂²	1	6	yes	complemented
43	C₂²×D₃×D₄	C₂²	1	6	yes	complemented
44	C₂²×#235	C₂²	1	3	yes	complemented
45	C₂²×#235	C₂²	1	3	yes	complemented
46	C₂²×#235	C₂²	1	3	yes	complemented
47	C₂³×D₁₂	C₂²	1	3	yes	complemented
48	C₃×#550	C₂²	1	1	yes	characteristic, complemented
49	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃×#548	C₂²	1	1	yes	characteristic, complemented
51	C₃×#548	C₂²	1	1	yes	characteristic, complemented
52	C₃×#547	C₂²	1	3	yes	complemented
53	C₃×#546	C₂²	1	3	yes	complemented
54	C₃×#546	C₂²	1	3	yes	complemented
55	C₃×D₄²	C₂²	1	3	yes	complemented
56	C₃×#532	C₂²	1	3	yes	complemented
57	C₃×#525	C₂²	1	3	yes	complemented
58	C₃×#525	C₂²	1	3	yes	complemented
59	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₄×D₄	C₂²	1	3	yes	complemented
61	#5834	C₂²	1	2	yes	complemented
62	#5833	C₂²	1	3	yes	complemented
63	#5833	C₂²	1	3	yes	complemented
64	#5831	C₂²	1	2	yes	complemented
65	#5830	C₂²	1	3	yes	complemented
66	#5829	C₂²	1	6	yes	complemented
67	#5827	C₂²	1	1	yes	characteristic, complemented
68	#5825	C₂²	1	3	yes	complemented
69	#5824	C₂²	1	6	yes	complemented
70	#5817	C₂²	1	2	yes	complemented
71	Q₈×#67	C₂²	1	2	yes	complemented
72	#5806	C₂²	1	6	yes	complemented
73	D₄×#67	C₂²	1	6	yes	complemented
74	D₄×#67	C₂²	1	6	yes	complemented
75	C₂×#937	C₂²	1	6	yes	complemented
76	#5791	C₂²	1	3	yes	complemented
77	#5791	C₂²	1	3	yes	complemented
78	C₂×#930	C₂²	1	3	yes	complemented
79	C₂×#924	C₂²	1	3	yes	complemented
80	#5726	C₂²	1	6	yes	complemented
81	#5724	C₂²	1	6	yes	complemented
82	#5717	C₂²	1	6	yes	complemented
83	#5715	C₂²	1	6	yes	complemented
84	#5676	C₂²	1	6	yes	complemented
85	#5676	C₂²	1	6	yes	complemented
86	D₃×#124	C₂²	1	6	yes	complemented
87	#5668	C₂²	1	6	yes	complemented
88	#5655	C₂²	1	12	yes	complemented
89	#5654	C₂²	1	12	yes	complemented
90	#5653	C₂²	1	12	yes	complemented
91	D₃×#123	C₂²	1	12	yes	complemented
92	#5631	C₂²	1	6	yes	complemented
93	#5631	C₂²	1	6	yes	complemented
94	#5630	C₂²	1	6	yes	complemented
95	#5630	C₂²	1	6	yes	complemented
96	#5629	C₂²	1	6	yes	complemented
97	#5628	C₂²	1	6	yes	complemented
98	#5627	C₂²	1	6	yes	complemented
99	D₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
100	#5612	C₂²	1	6	yes	complemented
101	#5612	C₂²	1	6	yes	complemented
102	#5610	C₂²	1	12	yes	complemented
103	#5610	C₂²	1	12	yes	complemented
104	#5609	C₂²	1	6	yes	complemented
105	#5609	C₂²	1	6	yes	complemented
106	#5608	C₂²	1	6	yes	complemented
107	#5607	C₂²	1	6	yes	complemented
108	#5606	C₂²	1	6	yes	complemented
109	#5605	C₂²	1	12	yes	complemented
110	D₃×#121	C₂²	1	6	yes	complemented
111	D₃×#121	C₂²	1	12	yes	complemented
112	#5591	C₂²	1	12	yes	complemented
113	#5590	C₂²	1	12	yes	complemented
114	#5589	C₂²	1	12	yes	complemented
115	D₃×#120	C₂²	1	12	yes	complemented
116	#5576	C₂²	1	2	yes	complemented
117	#5576	C₂²	1	2	yes	complemented
118	#5574	C₂²	1	2	yes	complemented
119	C₄×#239	C₂²	1	2	yes	complemented
120	#5554	C₂²	1	6	yes	complemented
121	#5554	C₂²	1	6	yes	complemented
122	#5553	C₂²	1	3	yes	complemented
123	#5552	C₂²	1	1	yes	characteristic, complemented
124	#5552	C₂²	1	3	yes	complemented
125	#5552	C₂²	1	6	yes	complemented
126	#5551	C₂²	1	3	yes	complemented
127	#5551	C₂²	1	6	yes	complemented
128	#5550	C₂²	1	3	yes	complemented
129	#5550	C₂²	1	6	yes	complemented
130	#5550	C₂²	1	6	yes	complemented
131	#5550	C₂²	1	6	yes	complemented
132	#5550	C₂²	1	6	yes	complemented
133	#5550	C₂²	1	6	yes	complemented
134	#5550	C₂²	1	6	yes	complemented
135	#5550	C₂²	1	6	yes	complemented
136	#5550	C₂²	1	6	yes	complemented
137	#5550	C₂²	1	3	yes	complemented
138	D₄×D₁₂	C₂²	1	3	yes	complemented
139	D₄×D₁₂	C₂²	1	6	yes	complemented
140	#5548	C₂²	1	6	yes	complemented
141	#5547	C₂²	1	6	yes	complemented
142	#5547	C₂²	1	6	yes	complemented
143	#5545	C₂²	1	6	yes	complemented
144	C₄×D₃×D₄	C₂²	1	6	yes	complemented
145	C₄×D₃×D₄	C₂²	1	6	yes	complemented
146	D₄×Dic₆	C₂²	1	3	yes	complemented
147	#5526	C₂²	1	3	yes	complemented
148	#5525	C₂²	1	3	yes	complemented
149	#5523	C₂²	1	3	yes	complemented
150	#5521	C₂²	1	3	yes	complemented
151	#5507	C₂²	1	6	yes	complemented
152	C₂×#894	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×D₃×C₂²⋊C₄	C₂²	1	6	yes	complemented
157	#5477	C₂²	1	3	yes	complemented
158	C₂×#875	C₂²	1	3	yes	complemented
159	C₄×#235	C₂²	1	3	yes	complemented
160	C₂×C₄×D₁₂	C₂²	1	3	yes	complemented
161	C₂×#585	—	3	1	no	—
162	C₂²×H(5,𝔽₂)	—	3	1	no	—
163	#3500	—	3	2	no	—
164	#3500	—	3	3	no	—
165	#3500	—	3	1	no	—
166	#3496	—	3	6	no	—
167	#3496	—	3	3	no	—
168	#3489	—	3	1	no	—
169	#3489	—	3	2	no	—
170	#3489	—	3	3	no	—
171	#3488	—	3	1	no	—
172	#3488	—	3	2	no	—
173	#3488	—	3	3	no	—
174	#3485	—	3	6	no	—
175	#3485	—	3	3	no	—
176	#3484	—	3	6	no	—
177	#3484	—	3	3	no	—
178	D₄×#41	—	3	2	no	—
179	D₄×#41	—	3	3	no	—
180	D₄×#41	D₃	1	1	yes	characteristic, complemented
181	C₂×#546	—	3	6	no	—
182	C₂×#546	—	3	3	no	—
183	C₄×H(5,𝔽₂)	—	3	1	no	—
184	C₂⁴×D₃	C₂³	1	6	yes	—
185	C₂×C₃×#41	—	2	8	no	—
186	C₂×C₃×#41	—	2	8	no	—
187	C₂×C₃×#41	C₂³	1	3	yes	—
188	C₂×C₃×#41	C₂³	1	3	yes	—
189	C₂×C₃×#41	C₂³	1	1	yes	characteristic
190	C₂×C₃×#41	C₂³	1	1	yes	characteristic
191	C₂×C₃×#41	C₂³	1	3	yes	complemented
192	C₂×C₃×#41	C₂³	1	1	yes	characteristic, complemented
193	C₂×C₃×#41	C₂³	1	3	yes	complemented
194	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
195	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic, complemented
196	C₂²×C₃×D₄	C₂³	1	3	yes	—
197	C₂²×C₃×D₄	C₂³	1	3	yes	—
198	C₂²×C₃×D₄	C₂³	1	3	yes	complemented
199	C₂³×C₃×C₄	C₂³	1	3	yes	—
200	C₂³×C₃×C₄	C₂³	1	3	yes	complemented
201	C₂²×#67	C₂³	1	6	yes	—
202	C₂²×#67	C₂³	1	6	yes	complemented
203	C₂²×#67	C₂³	1	6	yes	complemented
204	C₂²×#67	C₂³	1	6	yes	complemented
205	#1010	—	2	8	no	—
206	#1010	—	2	24	no	—
207	#1009	—	2	8	no	—
208	#1009	—	2	16	no	—
209	#1009	—	2	48	no	—
210	#1009	—	2	24	no	—
211	#1009	—	2	24	no	—
212	#1009	—	2	24	no	—
213	#1009	D₄	1	16	yes	complemented
214	D₃×#41	—	2	16	no	—
215	D₃×#41	—	2	48	no	—
216	#1007	—	2	16	no	—
217	C₂×#239	—	2	16	no	—
218	C₂×#239	C₂³	1	6	yes	—
219	C₂×#239	C₂³	1	6	yes	—
220	C₂×#239	C₂³	1	2	yes	—
221	C₂×#239	C₂³	1	2	yes	—
222	C₂×#239	C₂³	1	6	yes	complemented
223	C₂×D₃×Q₈	C₂³	1	6	yes	complemented
224	C₂×D₃×Q₈	C₂³	1	2	yes	complemented
225	#1004	—	2	48	no	—
226	C₂×#237	C₂³	1	12	yes	complemented
227	C₂×#237	C₂³	1	6	yes	complemented
228	C₂×#237	C₂³	1	6	yes	complemented
229	C₂×D₃×D₄	—	2	48	no	—
230	C₂×D₃×D₄	C₂³	1	12	yes	—
231	C₂×D₃×D₄	C₂³	1	12	yes	—
232	C₂×D₃×D₄	C₂³	1	6	yes	—
233	C₂×D₃×D₄	C₂³	1	6	yes	—
234	C₂×D₃×D₄	C₂³	1	6	yes	—
235	C₂×D₃×D₄	C₂³	1	6	yes	—
236	C₂×D₃×D₄	C₂³	1	6	yes	—
237	C₂×D₃×D₄	C₂³	1	12	yes	complemented
238	C₂×D₃×D₄	C₂³	1	6	yes	complemented
239	C₂×D₃×D₄	C₂³	1	12	yes	complemented
240	C₂×#235	—	2	24	no	—
241	C₂×#235	—	2	24	no	—
242	C₂×#235	—	2	24	no	—
243	C₂×#235	C₂³	1	6	yes	—
244	C₂×#235	C₂³	1	3	yes	—
245	C₂×#235	C₂³	1	6	yes	—
246	C₂×#235	C₂³	1	3	yes	—
247	C₂×#235	C₂³	1	3	yes	—
248	C₂×#235	C₂³	1	3	yes	—
249	C₂×#235	C₂³	1	6	yes	complemented
250	C₂×#235	C₂³	1	3	yes	complemented
251	C₂×#235	C₂³	1	1	yes	characteristic, complemented
252	C₂×#235	C₂³	1	6	yes	complemented
253	C₂×#235	C₂³	1	6	yes	complemented
254	C₂×#235	C₂³	1	6	yes	complemented
255	C₂×#235	C₂³	1	3	yes	complemented
256	C₂×#235	C₂³	1	6	yes	complemented
257	C₂²×D₁₂	—	2	24	no	—
258	C₂²×D₁₂	C₂³	1	6	yes	—
259	C₂²×D₁₂	C₂³	1	3	yes	—
260	C₂²×D₁₂	C₂³	1	6	yes	—
261	C₂²×D₁₂	C₂³	1	3	yes	—
262	C₂²×D₁₂	C₂³	1	6	yes	—
263	C₂²×D₁₂	C₂³	1	6	yes	—
264	C₂²×D₁₂	C₂³	1	3	yes	—
265	C₂²×D₁₂	C₂³	1	3	yes	complemented
266	C₂²×C₄×D₃	C₂³	1	6	yes	—
267	C₂²×C₄×D₃	C₂³	1	6	yes	complemented
268	C₂²×C₄×D₃	C₂³	1	6	yes	complemented
269	C₂²×C₄×D₃	C₂³	1	6	yes	complemented
270	C₂²×Dic₆	C₂³	1	1	yes	characteristic
271	C₂²×Dic₆	C₂³	1	3	yes	complemented
272	C₂²×Dic₆	C₂³	1	3	yes	complemented
273	C₃×C₄⋊Q₈	C₂³	1	3	yes	complemented
274	C₃×#127	C₂³	1	3	yes	complemented
275	C₃×#124	C₂³	1	3	yes	complemented
276	C₃×#124	C₂³	1	3	yes	complemented
277	C₃×#123	C₂³	1	6	yes	complemented
278	C₃×#123	C₂³	1	6	yes	complemented
279	C₃×C₂²⋊Q₈	C₂³	1	3	yes	—
280	C₃×C₂²⋊Q₈	C₂³	1	3	yes	complemented
281	C₃×C₂²⋊Q₈	C₂³	1	3	yes	complemented
282	C₃×C₂²⋊Q₈	C₂³	1	3	yes	complemented
283	C₃×#121	C₂³	1	3	yes	—
284	C₃×#121	C₂³	1	3	yes	complemented
285	C₃×#121	C₂³	1	3	yes	complemented
286	C₃×#121	C₂³	1	3	yes	complemented
287	C₃×#121	C₂³	1	6	yes	complemented
288	C₃×#121	C₂³	1	6	yes	complemented
289	C₃×#120	C₂³	1	6	yes	—
290	C₃×#120	C₂³	1	6	yes	complemented
291	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
292	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
293	C₃×C₄×D₄	C₂³	1	3	yes	—
294	C₃×C₄×D₄	C₂³	1	3	yes	—
295	C₃×C₄×D₄	C₂³	1	3	yes	—
296	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
297	C₃×C₄×D₄	C₂³	1	3	yes	complemented
298	C₃×C₄×D₄	C₂³	1	3	yes	complemented
299	C₃×C₄×D₄	C₂³	1	3	yes	complemented
300	C₃×C₄×D₄	C₂³	1	3	yes	complemented
301	C₃×C₄×D₄	C₂³	1	6	yes	complemented
302	C₃×C₄×D₄	C₂³	1	3	yes	complemented
303	C₃×C₄×D₄	C₂³	1	3	yes	complemented
304	C₃×#117	C₂³	1	3	yes	complemented
305	C₂×C₃×C₄⋊C₄	C₂³	1	3	yes	complemented
306	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	—
307	C₂×C₃×C₂²⋊C₄	C₂³	1	3	yes	complemented
308	C₂×C₃×C₄²	C₂³	1	3	yes	complemented
309	#953	C₂³	1	6	yes	—
310	#953	C₂³	1	6	yes	complemented
311	C₂×#217	C₂³	1	6	yes	—
312	#947	C₂³	1	6	yes	complemented
313	#946	C₂³	1	6	yes	complemented
314	#946	C₂³	1	6	yes	complemented
315	Q₈×Dic₃	C₂³	1	2	yes	complemented
316	#944	C₂³	1	6	yes	complemented
317	#940	C₂³	1	6	yes	complemented
318	#940	C₂³	1	6	yes	complemented
319	#939	C₂³	1	2	yes	—
320	#939	C₂³	1	12	yes	complemented
321	#939	C₂³	1	12	yes	complemented
322	#939	C₂³	1	6	yes	complemented
323	#939	C₂³	1	12	yes	complemented
324	#938	C₂³	1	6	yes	complemented
325	#938	C₂³	1	6	yes	complemented
326	#938	C₂³	1	12	yes	complemented
327	#938	C₂³	1	6	yes	complemented
328	#937	C₂³	1	6	yes	—
329	#937	C₂³	1	12	yes	—
330	#937	C₂³	1	12	yes	complemented
331	#937	C₂³	1	12	yes	complemented
332	#937	C₂³	1	12	yes	complemented
333	#937	C₂³	1	6	yes	complemented
334	#937	C₂³	1	12	yes	complemented
335	#936	C₂³	1	6	yes	complemented
336	#935	C₂³	1	12	yes	complemented
337	D₄×Dic₃	C₂³	1	6	yes	—
338	D₄×Dic₃	C₂³	1	6	yes	complemented
339	#930	C₂³	1	1	yes	characteristic
340	#930	C₂³	1	6	yes	complemented
341	#930	C₂³	1	6	yes	complemented
342	#930	C₂³	1	3	yes	complemented
343	#930	C₂³	1	6	yes	complemented
344	#930	C₂³	1	6	yes	complemented
345	#930	C₂³	1	6	yes	complemented
346	#930	C₂³	1	3	yes	complemented
347	#930	C₂³	1	3	yes	complemented
348	#929	C₂³	1	6	yes	complemented
349	#929	C₂³	1	6	yes	complemented
350	C₄×#67	C₂³	1	6	yes	—
351	C₄×#67	C₂³	1	6	yes	complemented
352	C₄×#67	C₂³	1	6	yes	complemented
353	C₄×#67	C₂³	1	6	yes	complemented
354	C₄×#67	C₂³	1	6	yes	complemented
355	C₄×#67	C₂³	1	6	yes	complemented
356	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
357	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
358	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
359	C₂×(C₂×D₃)⋊C₄	C₂³	1	6	yes	complemented
360	#926	C₂³	1	3	yes	complemented
361	C₂×C₄⋊Dic₃	C₂³	1	3	yes	complemented
362	#924	C₂³	1	3	yes	—
363	#924	C₂³	1	6	yes	—
364	#924	C₂³	1	6	yes	complemented
365	#924	C₂³	1	6	yes	complemented
366	#924	C₂³	1	1	yes	characteristic, complemented
367	#924	C₂³	1	3	yes	complemented
368	#924	C₂³	1	3	yes	complemented
369	C₂×Dic₃⋊C₄	C₂³	1	6	yes	complemented
370	#897	C₂³	1	6	yes	complemented
371	#897	C₂³	1	6	yes	complemented
372	#896	C₂³	1	12	yes	complemented
373	#896	C₂³	1	6	yes	complemented
374	#896	C₂³	1	2	yes	complemented
375	#895	C₂³	1	6	yes	complemented
376	#895	C₂³	1	12	yes	complemented
377	#895	C₂³	1	6	yes	complemented
378	#895	C₂³	1	6	yes	complemented
379	#894	C₂³	1	12	yes	complemented
380	#894	C₂³	1	12	yes	complemented
381	#894	C₂³	1	12	yes	complemented
382	#894	C₂³	1	12	yes	complemented
383	#894	C₂³	1	6	yes	complemented
384	#894	C₂³	1	6	yes	complemented
385	#893	C₂³	1	6	yes	complemented
386	#893	C₂³	1	6	yes	complemented
387	#893	C₂³	1	6	yes	complemented
388	#892	C₂³	1	6	yes	complemented
389	D₃×C₄⋊C₄	C₂³	1	6	yes	complemented
390	D₃×C₄⋊C₄	C₂³	1	12	yes	complemented
391	D₃×C₄⋊C₄	C₂³	1	6	yes	complemented
392	#888	C₂³	1	6	yes	complemented
393	#886	C₂³	1	12	yes	complemented
394	#885	C₂³	1	12	yes	complemented
395	#885	C₂³	1	6	yes	complemented
396	#885	C₂³	1	2	yes	complemented
397	#884	C₂³	1	12	yes	complemented
398	#884	C₂³	1	12	yes	complemented
399	#884	C₂³	1	6	yes	complemented
400	#884	C₂³	1	12	yes	complemented
401	#884	C₂³	1	6	yes	complemented
402	#884	C₂³	1	6	yes	complemented
403	#884	C₂³	1	12	yes	complemented
404	#884	C₂³	1	6	yes	complemented
405	#883	C₂³	1	6	yes	complemented
406	#883	C₂³	1	12	yes	complemented
407	#883	C₂³	1	12	yes	complemented
408	#883	C₂³	1	6	yes	complemented
409	#882	C₂³	1	6	yes	—
410	#882	C₂³	1	6	yes	complemented
411	#882	C₂³	1	12	yes	complemented
412	#882	C₂³	1	12	yes	complemented
413	#882	C₂³	1	12	yes	complemented
414	#67⋊C₄	C₂³	1	2	yes	—
415	#67⋊C₄	C₂³	1	12	yes	complemented
416	#67⋊C₄	C₂³	1	12	yes	complemented
417	#67⋊C₄	C₂³	1	6	yes	complemented
418	D₃×C₂²⋊C₄	C₂³	1	6	yes	—
419	D₃×C₂²⋊C₄	C₂³	1	12	yes	—
420	D₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
421	D₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
422	D₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
423	D₃×C₂²⋊C₄	C₂³	1	12	yes	complemented
424	D₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
425	#878	C₂³	1	6	yes	—
426	#878	C₂³	1	6	yes	complemented
427	#875	C₂³	1	6	yes	complemented
428	#875	C₂³	1	6	yes	complemented
429	#875	C₂³	1	3	yes	complemented
430	#875	C₂³	1	6	yes	complemented
431	#875	C₂³	1	1	yes	characteristic, complemented
432	#874	C₂³	1	3	yes	complemented
433	C₄×D₁₂	C₂³	1	6	yes	complemented
434	C₄×D₁₂	C₂³	1	6	yes	complemented
435	C₄×D₁₂	C₂³	1	6	yes	complemented
436	C₄×D₁₂	C₂³	1	6	yes	complemented
437	C₄×D₁₂	C₂³	1	3	yes	complemented
438	C₄×D₁₂	C₂³	1	6	yes	complemented
439	C₄×D₁₂	C₂³	1	3	yes	complemented
440	#872	C₂³	1	6	yes	complemented
441	C₄²×D₃	C₂³	1	6	yes	complemented
442	#869	C₂³	1	3	yes	complemented
443	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
444	C₄×Dic₆	C₂³	1	3	yes	complemented
445	#585	—	6	16	no	—
446	C₂×2₋¹⁺⁴	—	3	1	no	—
447	C₂×2₋¹⁺⁴	—	3	3	no	—
448	C₂×2₋¹⁺⁴	—	3	2	no	—
449	C₂×H(5,𝔽₂)	—	3	1	no	—
450	C₂×H(5,𝔽₂)	—	3	6	no	—
451	C₂×H(5,𝔽₂)	—	3	3	no	—
452	C₂×H(5,𝔽₂)	—	3	2	no	—
453	C₂×H(5,𝔽₂)	—	3	3	no	—
454	C₂×H(5,𝔽₂)	—	3	1	no	—
455	C₂×H(5,𝔽₂)	—	3	3	no	—
456	C₂×H(5,𝔽₂)	—	3	6	no	—
457	C₂×H(5,𝔽₂)	—	6	16	no	—
458	C₂²×#41	—	3	6	no	—
459	C₂²×#41	—	3	2	no	—
460	C₂²×#41	—	3	2	no	—
461	C₂²×#41	—	3	3	no	—
462	C₂²×#41	—	3	3	no	—
463	C₂²×#41	—	3	3	no	—
464	C₂²×#41	C₂×D₃	1	1	yes	characteristic, complemented
465	C₂²×#41	C₂×D₃	1	1	yes	characteristic, complemented
466	C₂³×D₄	—	3	6	no	—
467	C₂³×D₄	—	3	3	no	—
468	#550	—	3	2	no	—
469	#550	—	3	3	no	—
470	#550	C₂×D₃	1	1	yes	characteristic, complemented
471	D₄×Q₈	—	3	2	no	—
472	D₄×Q₈	—	3	3	no	—
473	D₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
474	#548	—	3	2	no	—
475	#548	—	3	2	no	—
476	#548	—	3	2	no	—
477	#548	—	3	2	no	—
478	#548	—	3	1	no	—
479	#548	—	3	3	no	—
480	#548	—	3	6	no	—
481	#548	C₂×D₃	1	1	yes	characteristic, complemented
482	#548	C₂×D₃	1	1	yes	characteristic, complemented
483	#547	—	3	6	no	—
484	#547	—	3	6	no	—
485	#547	—	3	12	no	—
486	#547	—	3	6	no	—
487	#547	—	3	6	no	—
488	#547	—	3	3	no	—
489	#547	—	3	6	no	—
490	#547	—	3	6	no	—
491	#547	C₂×D₃	1	3	yes	complemented
492	#546	—	3	6	no	—
493	#546	—	3	6	no	—
494	#546	—	3	6	no	—
495	#546	—	3	6	no	—
496	#546	—	3	12	no	—
497	#546	—	3	6	no	—
498	#546	—	3	6	no	—
499	#546	—	3	6	no	—
500	#546	—	3	12	no	—
501	#546	—	3	12	no	—
502	#546	—	3	6	no	—
503	#546	—	3	12	no	—
504	#546	—	3	6	no	—
505	#546	—	3	3	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	3	no	—
514	#546	—	3	6	no	—
515	#546	—	3	6	no	—
516	#546	—	3	6	no	—
517	#546	—	3	6	no	—
518	#546	C₂×D₃	1	3	yes	complemented
519	#546	C₂×D₃	1	3	yes	complemented
520	D₄²	—	3	6	no	—
521	D₄²	—	3	6	no	—
522	D₄²	—	3	6	no	—
523	D₄²	—	3	6	no	—
524	D₄²	—	3	6	no	—
525	D₄²	—	3	12	no	—
526	D₄²	—	3	3	no	—
527	D₄²	—	3	6	no	—
528	D₄²	C₂×D₃	1	3	yes	complemented
529	#537	—	3	3	no	—
530	#537	—	3	3	no	—
531	#537	—	3	6	no	—
532	#537	—	3	6	no	—
533	#536	—	3	3	no	—
534	#536	—	3	6	no	—
535	#536	—	3	6	no	—
536	#536	—	3	3	no	—
537	#535	—	3	3	no	—
538	#535	—	3	6	no	—
539	#535	—	3	6	no	—
540	#535	—	3	3	no	—
541	#534	—	3	12	no	—
542	#534	—	3	12	no	—
543	#534	—	3	12	no	—
544	#532	—	3	6	no	—
545	#532	—	3	6	no	—
546	#532	—	3	3	no	—
547	#532	C₂×D₃	1	3	yes	complemented
548	C₂×#124	—	3	6	no	—
549	C₂×#124	—	3	3	no	—
550	#525	—	3	3	no	—
551	#525	—	3	3	no	—
552	#525	—	3	6	no	—
553	#525	—	3	6	no	—
554	#525	—	3	6	no	—
555	#525	—	3	6	no	—
556	#525	C₂×D₃	1	3	yes	complemented
557	#525	C₂×D₃	1	3	yes	complemented
558	C₂×#123	—	3	12	no	—
559	C₂×#123	—	3	6	no	—
560	C₂×C₂²⋊Q₈	—	3	3	no	—
561	C₂×C₂²⋊Q₈	—	3	6	no	—
562	C₂×#121	—	3	3	no	—
563	C₂×#121	—	3	6	no	—
564	C₂×#121	—	3	12	no	—
565	C₂×#121	—	3	6	no	—
566	C₂×#120	—	3	6	no	—
567	C₂×#120	—	3	12	no	—
568	#520	—	3	1	no	—
569	#520	—	3	2	no	—
570	#520	—	3	3	no	—
571	#518	—	3	6	no	—
572	#518	—	3	3	no	—
573	C₄×#41	—	3	2	no	—
574	C₄×#41	—	3	3	no	—
575	C₄×#41	C₂×D₃	1	1	yes	characteristic, complemented
576	C₂×C₄×D₄	—	3	6	no	—
577	C₂×C₄×D₄	—	3	6	no	—
578	C₂×C₄×D₄	—	3	3	no	—
579	C₂×C₄×D₄	C₂×D₃	1	3	yes	complemented
580	C₂²×C₂²⋊C₄	—	3	6	no	—
581	C₂⁴×C₃	C₂⁴	1	3	yes	—
582	C₂⁴×C₃	C₂⁴	1	3	yes	—
583	C₂³×D₃	—	2	24	no	—
584	C₂³×D₃	—	4	12	no	—
585	C₂³×D₃	—	8	6	no	—
586	C₂³×D₃	C₂⁴	1	6	yes	—
587	C₂³×D₃	C₂⁴	1	12	yes	—
588	C₂³×D₃	C₂⁴	1	6	yes	—
589	C₂³×D₃	C₂⁴	1	6	yes	—
590	C₂³×D₃	C₂⁴	1	6	yes	—
591	C₃×#41	—	2	4	no	—
592	C₃×#41	—	2	4	no	—
593	C₃×#41	—	2	12	no	—
594	C₃×#41	—	2	12	no	—
595	C₃×#41	—	2	12	no	—
596	C₃×#41	—	2	12	no	—
597	C₃×#41	C₂×D₄	1	8	yes	complemented
598	C₂×C₃×Q₈	—	2	4	no	—
599	C₂×C₃×Q₈	—	2	4	no	—
600	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
601	C₂×C₃×Q₈	C₂⁴	1	3	yes	—
602	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
603	C₂×C₃×D₄	—	2	12	no	—
604	C₂×C₃×D₄	—	2	12	no	—
605	C₂×C₃×D₄	—	4	6	no	—
606	C₂×C₃×D₄	C₂⁴	1	3	yes	—
607	C₂×C₃×D₄	C₂⁴	1	6	yes	—
608	C₂×C₃×D₄	C₂⁴	1	3	yes	—
609	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
610	C₂×C₃×D₄	C₂⁴	1	6	yes	—
611	C₂×C₃×D₄	C₂⁴	1	3	yes	—
612	C₂×C₃×D₄	C₂⁴	1	3	yes	—
613	C₂×C₃×D₄	C₂⁴	1	3	yes	—
614	C₂×C₃×D₄	C₂⁴	1	6	yes	—
615	C₂×C₃×D₄	C₂⁴	1	3	yes	—
616	C₂²×C₃×C₄	—	2	12	no	—
617	C₂²×C₃×C₄	—	2	12	no	—
618	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
619	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
620	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
621	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
622	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
623	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
624	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
625	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
626	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
627	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
628	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
629	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
630	C₂²×C₃×C₄	C₂⁴	1	3	yes	—
631	C₂×#67	—	2	24	no	—
632	C₂×#67	—	2	24	no	—
633	C₂×#67	—	2	24	no	—
634	C₂×#67	—	8	6	no	—
635	C₂×#67	C₂⁴	1	2	yes	—
636	C₂×#67	C₂⁴	1	6	yes	—
637	C₂×#67	C₂⁴	1	6	yes	—
638	C₂×#67	C₂⁴	1	6	yes	—
639	C₂×#67	C₂⁴	1	12	yes	—
640	C₂×#67	C₂⁴	1	2	yes	—
641	C₂×#67	C₂⁴	1	6	yes	—
642	C₂×#67	C₂⁴	1	6	yes	—
643	C₂×#67	C₂⁴	1	6	yes	—
644	C₂×#67	C₂⁴	1	12	yes	—
645	C₂×#67	C₂⁴	1	6	yes	—
646	C₂×#67	C₂⁴	1	6	yes	—
647	C₂×#67	C₂⁴	1	6	yes	—
648	C₂²×Dic₃	C₂⁴	1	2	yes	—
649	C₂²×Dic₃	C₂⁴	1	6	yes	—
650	C₂²×Dic₃	C₂⁴	1	6	yes	—
651	C₂²×Dic₃	C₂⁴	1	6	yes	—
652	#239	—	2	8	no	—
653	#239	—	2	24	no	—
654	#239	—	2	24	no	—
655	#239	—	2	24	no	—
656	#239	C₂×D₄	1	16	yes	complemented
657	D₃×Q₈	—	2	8	no	—
658	D₃×Q₈	—	2	24	no	—
659	#237	—	2	24	no	—
660	#237	—	2	48	no	—
661	#237	—	2	24	no	—
662	D₃×D₄	—	2	48	no	—
663	D₃×D₄	—	2	48	no	—
664	D₃×D₄	—	2	24	no	—
665	D₃×D₄	—	2	48	no	—
666	D₃×D₄	—	2	24	no	—
667	D₃×D₄	—	2	24	no	—
668	D₃×D₄	—	2	24	no	—
669	D₃×D₄	—	4	12	no	—
670	D₃×D₄	—	8	12	no	—
671	D₃×D₄	C₂×D₄	1	48	yes	complemented
672	#235	—	2	12	no	—
673	#235	—	2	12	no	—
674	#235	—	2	24	no	—
675	#235	—	2	24	no	—
676	#235	—	2	12	no	—
677	#235	—	2	12	no	—
678	#235	—	2	24	no	—
679	#235	—	2	24	no	—
680	#235	—	2	24	no	—
681	#235	—	2	24	no	—
682	#235	—	2	24	no	—
683	#235	—	2	4	no	—
684	#235	—	2	12	no	—
685	#235	C₂×D₄	1	24	yes	complemented
686	C₂×D₁₂	—	2	24	no	—
687	C₂×D₁₂	—	2	12	no	—
688	C₂×D₁₂	—	2	12	no	—
689	C₂×D₁₂	—	2	24	no	—
690	C₂×D₁₂	—	2	24	no	—
691	C₂×D₁₂	—	2	24	no	—
692	C₂×D₁₂	—	2	12	no	—
693	C₂×D₁₂	C₂×D₄	1	24	yes	complemented
694	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
695	C₂×D₁₂	C₂⁴	1	3	yes	—
696	C₂×D₁₂	C₂⁴	1	6	yes	—
697	C₂×D₁₂	C₂⁴	1	6	yes	—
698	C₂×D₁₂	C₂⁴	1	6	yes	—
699	C₂×D₁₂	C₂⁴	1	12	yes	—
700	C₂×D₁₂	C₂⁴	1	6	yes	—
701	C₂×D₁₂	C₂⁴	1	6	yes	—
702	C₂×D₁₂	C₂⁴	1	3	yes	—
703	C₂×D₁₂	C₂⁴	1	6	yes	—
704	C₂×C₄×D₃	—	2	24	no	—
705	C₂×C₄×D₃	—	2	24	no	—
706	C₂×C₄×D₃	—	2	24	no	—
707	C₂×C₄×D₃	—	8	6	no	—
708	C₂×C₄×D₃	C₂⁴	1	6	yes	—
709	C₂×C₄×D₃	C₂⁴	1	6	yes	—
710	C₂×C₄×D₃	C₂⁴	1	6	yes	—
711	C₂×C₄×D₃	C₂⁴	1	12	yes	—
712	C₂×C₄×D₃	C₂⁴	1	6	yes	—
713	C₂×C₄×D₃	C₂⁴	1	2	yes	—
714	C₂×C₄×D₃	C₂⁴	1	6	yes	—
715	C₂×C₄×D₃	C₂⁴	1	6	yes	—
716	C₂×C₄×D₃	C₂⁴	1	6	yes	—
717	C₂×C₄×D₃	C₂⁴	1	12	yes	—
718	C₂×C₄×D₃	C₂⁴	1	6	yes	—
719	C₂×Dic₆	—	2	12	no	—
720	C₂×Dic₆	—	2	4	no	—
721	C₂×Dic₆	—	2	12	no	—
722	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
723	C₂×Dic₆	C₂⁴	1	3	yes	—
724	C₂×Dic₆	C₂⁴	1	6	yes	—
725	C₂×Dic₆	C₂⁴	1	6	yes	—
726	C₂×Dic₆	C₂⁴	1	2	yes	—
727	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
728	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
729	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
730	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
731	C₃×C₄⋊C₄	C₂⁴	1	6	yes	—
732	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
733	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
734	C₃×C₄⋊C₄	C₂⁴	1	3	yes	—
735	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
736	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
737	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
738	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
739	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
740	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
741	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
742	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
743	C₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
744	C₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
745	C₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
746	C₃×C₄²	C₂⁴	1	3	yes	—
747	C₃×C₄²	C₂⁴	1	1	yes	characteristic
748	C₃×C₄²	C₂⁴	1	3	yes	—
749	C₃×C₄²	C₂⁴	1	3	yes	—
750	#217	C₂⁴	1	6	yes	—
751	#217	C₂⁴	1	6	yes	—
752	#217	C₂⁴	1	12	yes	—
753	#217	C₂⁴	1	6	yes	—
754	#217	C₂⁴	1	6	yes	—
755	#217	C₂⁴	1	2	yes	—
756	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
757	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
758	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
759	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
760	(C₂×D₃)⋊C₄	C₂⁴	1	12	yes	—
761	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
762	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
763	(C₂×D₃)⋊C₄	C₂⁴	1	12	yes	—
764	(C₂×D₃)⋊C₄	C₂⁴	1	12	yes	—
765	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
766	(C₂×D₃)⋊C₄	C₂⁴	1	12	yes	—
767	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
768	(C₂×D₃)⋊C₄	C₂⁴	1	6	yes	—
769	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
770	C₄⋊Dic₃	C₂⁴	1	3	yes	—
771	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
772	C₄⋊Dic₃	C₂⁴	1	6	yes	—
773	C₄⋊Dic₃	C₂⁴	1	6	yes	—
774	C₄⋊Dic₃	C₂⁴	1	6	yes	—
775	Dic₃⋊C₄	C₂⁴	1	2	yes	—
776	Dic₃⋊C₄	C₂⁴	1	6	yes	—
777	Dic₃⋊C₄	C₂⁴	1	6	yes	—
778	Dic₃⋊C₄	C₂⁴	1	6	yes	—
779	Dic₃⋊C₄	C₂⁴	1	2	yes	—
780	Dic₃⋊C₄	C₂⁴	1	12	yes	—
781	Dic₃⋊C₄	C₂⁴	1	6	yes	—
782	C₄×Dic₃	C₂⁴	1	2	yes	—
783	C₄×Dic₃	C₂⁴	1	6	yes	—
784	C₄×Dic₃	C₂⁴	1	6	yes	—
785	C₂⁵	—	3	6	no	—
786	2₋¹⁺⁴	—	6	16	no	—
787	2₋¹⁺⁴	—	6	24	no	—
788	2₋¹⁺⁴	—	6	8	no	—
789	H(5,𝔽₂)	—	3	16	no	—
790	H(5,𝔽₂)	—	6	48	no	—
791	H(5,𝔽₂)	—	6	48	no	—
792	H(5,𝔽₂)	—	6	24	no	—
793	H(5,𝔽₂)	—	6	24	no	—
794	H(5,𝔽₂)	—	6	16	no	—
795	H(5,𝔽₂)	—	6	24	no	—
796	H(5,𝔽₂)	—	6	8	no	—
797	C₂×#41	—	2	8	no	—
798	C₂×#41	—	2	8	no	—
799	C₂×#41	—	3	2	no	—
800	C₂×#41	—	3	6	no	—
801	C₂×#41	—	3	6	no	—
802	C₂×#41	—	3	6	no	—
803	C₂×#41	—	3	2	no	—
804	C₂×#41	—	3	6	no	—
805	C₂×#41	—	3	6	no	—
806	C₂×#41	—	3	12	no	—
807	C₂×#41	—	3	3	no	—
808	C₂×#41	—	3	6	no	—
809	C₂×#41	—	3	3	no	—
810	C₂×#41	—	3	6	no	—
811	C₂×#41	—	3	3	no	—
812	C₂×#41	—	3	6	no	—
813	C₂×#41	—	3	3	no	—
814	C₂×#41	—	3	6	no	—
815	C₂×#41	—	3	6	no	—
816	C₂×#41	—	3	6	no	—
817	C₂×#41	—	3	3	no	—
818	C₂×#41	—	3	6	no	—
819	C₂×#41	—	3	3	no	—
820	C₂×#41	—	3	1	no	—
821	C₂×#41	—	6	24	no	—
822	C₂×#41	—	6	24	no	—
823	C₂×#41	—	6	24	no	—
824	C₂×#41	—	6	48	no	—
825	C₂×#41	—	6	16	no	—
826	C₂×#41	—	6	16	no	—
827	C₂×#41	C₂²×D₃	1	3	yes	—
828	C₂×#41	C₂²×D₃	1	3	yes	—
829	C₂×#41	C₂²×D₃	1	1	yes	characteristic
830	C₂×#41	C₂²×D₃	1	1	yes	characteristic
831	C₂×#41	C₂²×D₃	1	3	yes	complemented
832	C₂×#41	C₂²×D₃	1	3	yes	complemented
833	C₂×#41	C₂²×D₃	1	1	yes	characteristic, complemented
834	C₂²×Q₈	—	3	6	no	—
835	C₂²×Q₈	—	3	2	no	—
836	C₂²×Q₈	—	3	3	no	—
837	C₂²×Q₈	—	3	3	no	—
838	C₂²×Q₈	—	3	1	no	—
839	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
840	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
841	C₂²×D₄	—	3	6	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	12	no	—
847	C₂²×D₄	—	3	12	no	—
848	C₂²×D₄	—	3	6	no	—
849	C₂²×D₄	—	3	6	no	—
850	C₂²×D₄	—	3	12	no	—
851	C₂²×D₄	—	3	6	no	—
852	C₂²×D₄	—	3	6	no	—
853	C₂²×D₄	—	3	6	no	—
854	C₂²×D₄	—	3	12	no	—
855	C₂²×D₄	—	3	3	no	—
856	C₂²×D₄	—	3	6	no	—
857	C₂²×D₄	—	3	3	no	—
858	C₂²×D₄	—	3	3	no	—
859	C₂²×D₄	—	3	6	no	—
860	C₂²×D₄	—	3	3	no	—
861	C₂²×D₄	—	3	6	no	—
862	C₂²×D₄	—	3	6	no	—
863	C₂²×D₄	—	6	24	no	—
864	C₂²×D₄	—	6	48	no	—
865	C₂²×D₄	C₂²×D₃	1	3	yes	—
866	C₂²×D₄	C₂²×D₃	1	3	yes	—
867	C₂²×D₄	C₂²×D₃	1	3	yes	complemented
868	C₂³×C₄	—	3	6	no	—
869	C₂³×C₄	—	3	6	no	—
870	C₂³×C₄	—	3	6	no	—
871	C₂³×C₄	—	3	6	no	—
872	C₂³×C₄	C₂²×D₃	1	3	yes	—
873	C₂³×C₄	C₂²×D₃	1	3	yes	complemented
874	C₄⋊Q₈	—	3	6	no	—
875	C₄⋊Q₈	—	3	6	no	—
876	C₄⋊Q₈	—	3	3	no	—
877	C₄⋊Q₈	C₂²×D₃	1	3	yes	complemented
878	#127	—	3	6	no	—
879	#127	—	3	6	no	—
880	#127	—	3	3	no	—
881	#127	C₂²×D₃	1	3	yes	complemented
882	#124	—	3	6	no	—
883	#124	—	3	6	no	—
884	#124	—	3	6	no	—
885	#124	—	3	12	no	—
886	#124	—	3	2	no	—
887	#124	—	3	6	no	—
888	#124	—	3	3	no	—
889	#124	—	3	6	no	—
890	#124	—	3	6	no	—
891	#124	—	3	1	no	—
892	#124	C₂²×D₃	1	3	yes	complemented
893	#124	C₂²×D₃	1	3	yes	complemented
894	#123	—	3	12	no	—
895	#123	—	3	6	no	—
896	#123	—	3	6	no	—
897	#123	—	3	12	no	—
898	#123	—	3	6	no	—
899	#123	—	3	12	no	—
900	#123	—	3	12	no	—
901	#123	—	3	12	no	—
902	#123	—	3	6	no	—
903	#123	—	3	6	no	—
904	#123	—	3	12	no	—
905	#123	—	3	12	no	—
906	#123	—	3	12	no	—
907	#123	—	3	6	no	—
908	#123	C₂²×D₃	1	6	yes	complemented
909	#123	C₂²×D₃	1	6	yes	complemented
910	C₂²⋊Q₈	—	3	6	no	—
911	C₂²⋊Q₈	—	3	6	no	—
912	C₂²⋊Q₈	—	3	6	no	—
913	C₂²⋊Q₈	—	3	3	no	—
914	C₂²⋊Q₈	—	3	6	no	—
915	C₂²⋊Q₈	—	3	6	no	—
916	C₂²⋊Q₈	—	3	1	no	—
917	C₂²⋊Q₈	—	3	3	no	—
918	C₂²⋊Q₈	—	3	3	no	—
919	C₂²⋊Q₈	—	3	12	no	—
920	C₂²⋊Q₈	—	3	6	no	—
921	C₂²⋊Q₈	—	3	2	no	—
922	C₂²⋊Q₈	—	3	6	no	—
923	C₂²⋊Q₈	—	3	6	no	—
924	C₂²⋊Q₈	—	3	6	no	—
925	C₂²⋊Q₈	—	3	6	no	—
926	C₂²⋊Q₈	C₂²×D₃	1	3	yes	—
927	C₂²⋊Q₈	C₂²×D₃	1	3	yes	complemented
928	C₂²⋊Q₈	C₂²×D₃	1	3	yes	complemented
929	C₂²⋊Q₈	C₂²×D₃	1	3	yes	complemented
930	#121	—	3	12	no	—
931	#121	—	3	12	no	—
932	#121	—	3	12	no	—
933	#121	—	3	6	no	—
934	#121	—	3	12	no	—
935	#121	—	3	2	no	—
936	#121	—	3	6	no	—
937	#121	—	3	6	no	—
938	#121	—	3	6	no	—
939	#121	—	3	6	no	—
940	#121	—	3	3	no	—
941	#121	—	3	6	no	—
942	#121	—	3	6	no	—
943	#121	—	3	6	no	—
944	#121	—	3	1	no	—
945	#121	—	3	3	no	—
946	#121	—	3	3	no	—
947	#121	—	3	6	no	—
948	#121	—	3	12	no	—
949	#121	—	3	6	no	—
950	#121	—	3	6	no	—
951	#121	—	3	6	no	—
952	#121	—	3	6	no	—
953	#121	—	3	12	no	—
954	#121	—	3	6	no	—
955	#121	—	3	6	no	—
956	#121	—	3	12	no	—
957	#121	—	3	12	no	—
958	#121	—	3	6	no	—
959	#121	—	3	12	no	—
960	#121	C₂²×D₃	1	3	yes	—
961	#121	C₂²×D₃	1	3	yes	complemented
962	#121	C₂²×D₃	1	6	yes	complemented
963	#121	C₂²×D₃	1	3	yes	complemented
964	#121	C₂²×D₃	1	3	yes	complemented
965	#121	C₂²×D₃	1	6	yes	complemented
966	#120	—	3	6	no	—
967	#120	—	3	6	no	—
968	#120	—	3	12	no	—
969	#120	—	3	6	no	—
970	#120	—	3	12	no	—
971	#120	—	3	12	no	—
972	#120	—	3	12	no	—
973	#120	—	3	12	no	—
974	#120	—	3	6	no	—
975	#120	—	3	6	no	—
976	#120	—	3	12	no	—
977	#120	—	3	12	no	—
978	#120	—	3	12	no	—
979	#120	—	3	6	no	—
980	#120	C₂²×D₃	1	6	yes	—
981	#120	C₂²×D₃	1	6	yes	complemented
982	C₄×Q₈	—	3	2	no	—
983	C₄×Q₈	—	3	1	no	—
984	C₄×Q₈	—	3	3	no	—
985	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
986	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
987	C₄×D₄	—	3	6	no	—
988	C₄×D₄	—	3	6	no	—
989	C₄×D₄	—	3	6	no	—
990	C₄×D₄	—	3	6	no	—
991	C₄×D₄	—	3	6	no	—
992	C₄×D₄	—	3	6	no	—
993	C₄×D₄	—	3	6	no	—
994	C₄×D₄	—	3	6	no	—
995	C₄×D₄	—	3	6	no	—
996	C₄×D₄	—	3	6	no	—
997	C₄×D₄	—	3	6	no	—
998	C₄×D₄	—	3	2	no	—
999	C₄×D₄	—	3	12	no	—
1000	C₄×D₄	—	3	6	no	—
1001	C₄×D₄	—	3	12	no	—
1002	C₄×D₄	—	3	6	no	—
1003	C₄×D₄	—	3	3	no	—
1004	C₄×D₄	—	3	6	no	—
1005	C₄×D₄	—	3	6	no	—
1006	C₄×D₄	—	3	6	no	—
1007	C₄×D₄	—	3	3	no	—
1008	C₄×D₄	—	3	6	no	—
1009	C₄×D₄	C₂²×D₃	1	3	yes	—
1010	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1011	C₄×D₄	C₂²×D₃	1	3	yes	—
1012	C₄×D₄	C₂²×D₃	1	3	yes	—
1013	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1014	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1015	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1016	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1017	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1018	C₄×D₄	C₂²×D₃	1	3	yes	complemented
1019	C₄×D₄	C₂²×D₃	1	6	yes	complemented
1020	#117	—	3	3	no	—
1021	#117	—	3	6	no	—
1022	#117	—	3	6	no	—
1023	#117	C₂²×D₃	1	3	yes	complemented
1024	C₂×C₄⋊C₄	—	3	3	no	—
1025	C₂×C₄⋊C₄	—	3	6	no	—
1026	C₂×C₄⋊C₄	—	3	6	no	—
1027	C₂×C₄⋊C₄	—	3	6	no	—
1028	C₂×C₄⋊C₄	—	3	12	no	—
1029	C₂×C₄⋊C₄	C₂²×D₃	1	3	yes	complemented
1030	C₂×C₂²⋊C₄	—	3	6	no	—
1031	C₂×C₂²⋊C₄	—	3	6	no	—
1032	C₂×C₂²⋊C₄	—	3	6	no	—
1033	C₂×C₂²⋊C₄	—	3	6	no	—
1034	C₂×C₂²⋊C₄	—	3	6	no	—
1035	C₂×C₂²⋊C₄	—	3	6	no	—
1036	C₂×C₂²⋊C₄	—	3	12	no	—
1037	C₂×C₂²⋊C₄	—	3	12	no	—
1038	C₂×C₂²⋊C₄	—	3	12	no	—
1039	C₂×C₂²⋊C₄	—	3	12	no	—
1040	C₂×C₂²⋊C₄	—	3	6	no	—
1041	C₂×C₂²⋊C₄	—	3	12	no	—
1042	C₂×C₂²⋊C₄	C₂²×D₃	1	3	yes	—
1043	C₂×C₂²⋊C₄	C₂²×D₃	1	3	yes	complemented
1044	C₂×C₄²	—	3	6	no	—
1045	C₂×C₄²	C₂²×D₃	1	3	yes	complemented
1046	C₂³×C₃	—	2	6	no	—
1047	C₂³×C₃	—	2	6	no	—
1048	C₂³×C₃	—	2	6	no	—
1049	C₂³×C₃	—	4	3	no	—
1050	C₂³×C₃	—	4	3	no	—
1051	C₂³×C₃	—	4	3	no	—
1052	C₂³×C₃	C₂⁵	1	3	yes	—
1053	C₂³×C₃	C₂⁵	1	3	yes	—
1054	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1055	C₂³×C₃	C₂⁵	1	3	yes	—
1056	C₂³×C₃	C₂⁵	1	1	yes	characteristic
1057	C₂²×D₃	—	2	12	no	—
1058	C₂²×D₃	—	2	12	no	—
1059	C₂²×D₃	—	2	12	no	—
1060	C₂²×D₃	—	2	12	no	—
1061	C₂²×D₃	—	2	24	no	—
1062	C₂²×D₃	—	4	6	no	—
1063	C₂²×D₃	—	4	6	no	—
1064	C₂²×D₃	—	4	6	no	—
1065	C₂²×D₃	—	4	6	no	—
1066	C₂²×D₃	—	4	6	no	—
1067	C₂²×D₃	—	4	12	no	—
1068	C₂²×D₃	—	4	6	no	—
1069	C₂²×D₃	—	4	12	no	—
1070	C₂²×D₃	—	4	6	no	—
1071	C₂²×D₃	—	8	48	no	—
1072	C₂²×D₃	C₂²×D₄	1	24	yes	—
1073	C₂²×D₃	C₂⁵	1	6	yes	—
1074	C₂²×D₃	C₂⁵	1	2	yes	—
1075	C₂²×D₃	C₂⁵	1	6	yes	—
1076	C₃×Q₈	—	2	6	no	—
1077	C₃×Q₈	—	2	6	no	—
1078	C₃×Q₈	C₂²×D₄	1	4	yes	—
1079	C₃×D₄	—	2	12	no	—
1080	C₃×D₄	—	2	12	no	—
1081	C₃×D₄	—	2	6	no	—
1082	C₃×D₄	—	2	2	no	—
1083	C₃×D₄	—	2	6	no	—
1084	C₃×D₄	—	2	6	no	—
1085	C₃×D₄	—	4	6	no	—
1086	C₃×D₄	—	4	3	no	—
1087	C₃×D₄	—	4	3	no	—
1088	C₃×D₄	C₂²×D₄	1	12	yes	—
1089	C₂×C₃×C₄	—	2	6	no	—
1090	C₂×C₃×C₄	—	2	6	no	—
1091	C₂×C₃×C₄	—	2	2	no	—
1092	C₂×C₃×C₄	—	2	6	no	—
1093	C₂×C₃×C₄	—	2	6	no	—
1094	C₂×C₃×C₄	—	2	6	no	—
1095	C₂×C₃×C₄	—	2	6	no	—
1096	C₂×C₃×C₄	—	2	6	no	—
1097	C₂×C₃×C₄	—	2	2	no	—
1098	C₂×C₃×C₄	—	2	6	no	—
1099	C₂×C₃×C₄	—	4	3	no	—
1100	C₂×C₃×C₄	—	4	3	no	—
1101	C₂×C₃×C₄	C₂²×D₄	1	12	yes	—
1102	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1103	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1104	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1105	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1106	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1107	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1108	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1109	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1110	C₂×C₃×C₄	C₂⁵	1	3	yes	—
1111	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1112	#67	—	2	12	no	—
1113	#67	—	2	12	no	—
1114	#67	—	2	4	no	—
1115	#67	—	2	12	no	—
1116	#67	—	2	12	no	—
1117	#67	—	2	24	no	—
1118	#67	—	2	4	no	—
1119	#67	—	2	12	no	—
1120	#67	—	4	6	no	—
1121	#67	—	4	6	no	—
1122	#67	—	4	12	no	—
1123	#67	—	4	6	no	—
1124	#67	C₂²×D₄	1	24	yes	—
1125	C₂×Dic₃	—	2	12	no	—
1126	C₂×Dic₃	—	2	4	no	—
1127	C₂×Dic₃	—	2	12	no	—
1128	C₂×Dic₃	—	4	6	no	—
1129	C₂×Dic₃	C₂⁵	1	2	yes	—
1130	C₂×Dic₃	C₂⁵	1	6	yes	—
1131	C₂×Dic₃	C₂⁵	1	2	yes	—
1132	C₂×Dic₃	C₂⁵	1	6	yes	—
1133	C₂×Dic₃	C₂⁵	1	2	yes	—
1134	D₁₂	—	2	12	no	—
1135	D₁₂	—	2	24	no	—
1136	D₁₂	—	2	12	no	—
1137	D₁₂	—	2	6	no	—
1138	D₁₂	—	2	2	no	—
1139	D₁₂	—	2	12	no	—
1140	D₁₂	—	4	6	no	—
1141	D₁₂	—	4	6	no	—
1142	D₁₂	C₂²×D₄	1	12	yes	—
1143	D₁₂	C₂²×D₄	1	24	yes	—
1144	C₄×D₃	—	2	12	no	—
1145	C₄×D₃	—	2	12	no	—
1146	C₄×D₃	—	2	24	no	—
1147	C₄×D₃	—	2	12	no	—
1148	C₄×D₃	—	2	12	no	—
1149	C₄×D₃	—	2	4	no	—
1150	C₄×D₃	—	2	12	no	—
1151	C₄×D₃	—	4	6	no	—
1152	C₄×D₃	—	4	12	no	—
1153	C₄×D₃	—	4	6	no	—
1154	C₄×D₃	C₂²×D₄	1	24	yes	—
1155	Dic₆	—	2	6	no	—
1156	Dic₆	—	2	2	no	—
1157	Dic₆	—	2	12	no	—
1158	Dic₆	—	2	4	no	—
1159	Dic₆	—	2	12	no	—
1160	Dic₆	C₂²×D₄	1	4	yes	—
1161	C₂⁴	—	3	6	no	—
1162	C₂⁴	—	3	6	no	—
1163	C₂⁴	—	3	12	no	—
1164	C₂⁴	—	3	6	no	—
1165	C₂⁴	—	3	6	no	—
1166	C₂⁴	—	6	24	no	—
1167	C₂⁴	—	12	12	no	—
1168	C₂⁴	—	24	6	no	—
1169	C₂⁴	C₂³×D₃	1	3	yes	—
1170	C₂⁴	C₂³×D₃	1	3	yes	—
1171	#41	—	2	4	no	—
1172	#41	—	2	4	no	—
1173	#41	—	2	12	no	—
1174	#41	—	2	12	no	—
1175	#41	—	2	12	no	—
1176	#41	—	2	12	no	—
1177	#41	—	3	16	no	—
1178	#41	—	3	24	no	—
1179	#41	—	6	24	no	—
1180	#41	—	6	24	no	—
1181	#41	—	6	24	no	—
1182	#41	—	6	12	no	—
1183	#41	—	6	24	no	—
1184	#41	—	6	24	no	—
1185	#41	—	6	12	no	—
1186	#41	—	6	24	no	—
1187	#41	—	6	24	no	—
1188	#41	—	6	4	no	—
1189	#41	—	6	12	no	—
1190	#41	—	6	24	no	—
1191	#41	—	6	24	no	—
1192	#41	—	6	48	no	—
1193	#41	—	6	24	no	—
1194	#41	—	6	24	no	—
1195	#41	—	6	8	no	—
1196	#41	—	6	24	no	—
1197	#41	—	6	12	no	—
1198	#41	—	6	12	no	—
1199	#41	D₃×D₄	1	8	yes	complemented
1200	C₂×Q₈	—	2	4	no	—
1201	C₂×Q₈	—	2	4	no	—
1202	C₂×Q₈	—	3	1	no	—
1203	C₂×Q₈	—	3	6	no	—
1204	C₂×Q₈	—	3	6	no	—
1205	C₂×Q₈	—	3	3	no	—
1206	C₂×Q₈	—	3	2	no	—
1207	C₂×Q₈	—	3	1	no	—
1208	C₂×Q₈	—	6	4	no	—
1209	C₂×Q₈	—	6	12	no	—
1210	C₂×Q₈	—	6	24	no	—
1211	C₂×Q₈	—	6	8	no	—
1212	C₂×Q₈	—	6	12	no	—
1213	C₂×Q₈	C₂³×D₃	1	3	yes	—
1214	C₂×Q₈	C₂³×D₃	1	3	yes	—
1215	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1216	C₂×D₄	—	2	12	no	—
1217	C₂×D₄	—	2	12	no	—
1218	C₂×D₄	—	3	6	no	—
1219	C₂×D₄	—	3	48	no	—
1220	C₂×D₄	—	3	2	no	—
1221	C₂×D₄	—	3	12	no	—
1222	C₂×D₄	—	3	6	no	—
1223	C₂×D₄	—	3	6	no	—
1224	C₂×D₄	—	3	6	no	—
1225	C₂×D₄	—	3	6	no	—
1226	C₂×D₄	—	3	6	no	—
1227	C₂×D₄	—	3	2	no	—
1228	C₂×D₄	—	3	6	no	—
1229	C₂×D₄	—	3	12	no	—
1230	C₂×D₄	—	3	6	no	—
1231	C₂×D₄	—	3	6	no	—
1232	C₂×D₄	—	3	24	no	—
1233	C₂×D₄	—	3	6	no	—
1234	C₂×D₄	—	3	3	no	—
1235	C₂×D₄	—	3	6	no	—
1236	C₂×D₄	—	3	12	no	—
1237	C₂×D₄	—	3	6	no	—
1238	C₂×D₄	—	3	6	no	—
1239	C₂×D₄	—	3	3	no	—
1240	C₂×D₄	—	3	1	no	—
1241	C₂×D₄	—	3	6	no	—
1242	C₂×D₄	—	3	6	no	—
1243	C₂×D₄	—	4	6	no	—
1244	C₂×D₄	—	6	12	no	—
1245	C₂×D₄	—	6	24	no	—
1246	C₂×D₄	—	6	24	no	—
1247	C₂×D₄	—	6	24	no	—
1248	C₂×D₄	—	6	12	no	—
1249	C₂×D₄	—	6	24	no	—
1250	C₂×D₄	—	6	24	no	—
1251	C₂×D₄	—	6	48	no	—
1252	C₂×D₄	—	6	24	no	—
1253	C₂×D₄	—	6	24	no	—
1254	C₂×D₄	—	6	48	no	—
1255	C₂×D₄	—	6	48	no	—
1256	C₂×D₄	—	6	24	no	—
1257	C₂×D₄	—	6	24	no	—
1258	C₂×D₄	—	6	24	no	—
1259	C₂×D₄	—	6	24	no	—
1260	C₂×D₄	—	6	12	no	—
1261	C₂×D₄	—	12	12	no	—
1262	C₂×D₄	—	24	12	no	—
1263	C₂×D₄	—	24	6	no	—
1264	C₂×D₄	C₂³×D₃	1	3	yes	—
1265	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1266	C₂×D₄	C₂³×D₃	1	6	yes	—
1267	C₂×D₄	C₂³×D₃	1	6	yes	—
1268	C₂×D₄	C₂³×D₃	1	3	yes	—
1269	C₂×D₄	C₂³×D₃	1	3	yes	—
1270	C₂×D₄	C₂³×D₃	1	3	yes	—
1271	C₂×D₄	C₂³×D₃	1	3	yes	—
1272	C₂×D₄	C₂³×D₃	1	6	yes	—
1273	C₂×D₄	C₂³×D₃	1	3	yes	—
1274	C₂²×C₄	—	2	12	no	—
1275	C₂²×C₄	—	2	12	no	—
1276	C₂²×C₄	—	3	6	no	—
1277	C₂²×C₄	—	3	6	no	—
1278	C₂²×C₄	—	3	6	no	—
1279	C₂²×C₄	—	3	2	no	—
1280	C₂²×C₄	—	3	6	no	—
1281	C₂²×C₄	—	3	6	no	—
1282	C₂²×C₄	—	3	12	no	—
1283	C₂²×C₄	—	3	6	no	—
1284	C₂²×C₄	—	3	2	no	—
1285	C₂²×C₄	—	3	6	no	—
1286	C₂²×C₄	—	3	6	no	—
1287	C₂²×C₄	—	3	6	no	—
1288	C₂²×C₄	—	3	6	no	—
1289	C₂²×C₄	—	3	6	no	—
1290	C₂²×C₄	—	3	12	no	—
1291	C₂²×C₄	—	6	24	no	—
1292	C₂²×C₄	—	6	24	no	—
1293	C₂²×C₄	—	6	24	no	—
1294	C₂²×C₄	—	24	6	no	—
1295	C₂²×C₄	C₂³×D₃	1	3	yes	—
1296	C₂²×C₄	C₂³×D₃	1	3	yes	—
1297	C₂²×C₄	C₂³×D₃	1	3	yes	—
1298	C₂²×C₄	C₂³×D₃	1	3	yes	—
1299	C₂²×C₄	C₂³×D₃	1	3	yes	—
1300	C₂²×C₄	C₂³×D₃	1	3	yes	—
1301	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1302	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1303	C₂²×C₄	C₂³×D₃	1	3	yes	—
1304	C₂²×C₄	C₂³×D₃	1	3	yes	—
1305	C₂²×C₄	C₂³×D₃	1	3	yes	—
1306	C₂²×C₄	C₂³×D₃	1	3	yes	—
1307	C₂²×C₄	C₂³×D₃	1	3	yes	—
1308	C₄⋊C₄	—	3	2	no	—
1309	C₄⋊C₄	—	3	6	no	—
1310	C₄⋊C₄	—	3	6	no	—
1311	C₄⋊C₄	—	3	3	no	—
1312	C₄⋊C₄	—	3	12	no	—
1313	C₄⋊C₄	—	3	6	no	—
1314	C₄⋊C₄	—	3	6	no	—
1315	C₄⋊C₄	—	3	6	no	—
1316	C₄⋊C₄	—	3	6	no	—
1317	C₄⋊C₄	—	3	6	no	—
1318	C₄⋊C₄	—	3	2	no	—
1319	C₄⋊C₄	—	3	1	no	—
1320	C₄⋊C₄	C₂³×D₃	1	3	yes	—
1321	C₄⋊C₄	C₂³×D₃	1	3	yes	—
1322	C₄⋊C₄	C₂³×D₃	1	6	yes	—
1323	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1324	C₄⋊C₄	C₂³×D₃	1	3	yes	—
1325	C₄⋊C₄	C₂³×D₃	1	3	yes	—
1326	C₄⋊C₄	C₂³×D₃	1	3	yes	—
1327	C₂²⋊C₄	—	3	6	no	—
1328	C₂²⋊C₄	—	3	12	no	—
1329	C₂²⋊C₄	—	3	6	no	—
1330	C₂²⋊C₄	—	3	6	no	—
1331	C₂²⋊C₄	—	3	6	no	—
1332	C₂²⋊C₄	—	3	2	no	—
1333	C₂²⋊C₄	—	3	6	no	—
1334	C₂²⋊C₄	—	3	6	no	—
1335	C₂²⋊C₄	—	3	2	no	—
1336	C₂²⋊C₄	—	3	12	no	—
1337	C₂²⋊C₄	—	3	12	no	—
1338	C₂²⋊C₄	—	3	6	no	—
1339	C₂²⋊C₄	—	3	12	no	—
1340	C₂²⋊C₄	—	3	6	no	—
1341	C₂²⋊C₄	—	3	6	no	—
1342	C₂²⋊C₄	—	3	12	no	—
1343	C₂²⋊C₄	—	3	6	no	—
1344	C₂²⋊C₄	—	3	6	no	—
1345	C₂²⋊C₄	—	3	2	no	—
1346	C₂²⋊C₄	—	3	2	no	—
1347	C₂²⋊C₄	C₂³×D₃	1	1	yes	characteristic
1348	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1349	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1350	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1351	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1352	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1353	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1354	C₂²⋊C₄	C₂³×D₃	1	1	yes	characteristic
1355	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1356	C₂²⋊C₄	C₂³×D₃	1	3	yes	—
1357	C₂²⋊C₄	C₂³×D₃	1	6	yes	—
1358	C₄²	—	3	2	no	—
1359	C₄²	—	3	6	no	—
1360	C₄²	—	3	6	no	—
1361	C₄²	C₂³×D₃	1	3	yes	—
1362	C₄²	C₂³×D₃	1	1	yes	characteristic
1363	C₄²	C₂³×D₃	1	3	yes	—
1364	C₄²	C₂³×D₃	1	3	yes	—
1365	C₂²×C₃	—	2	1	no	—
1366	C₂²×C₃	—	2	3	no	—
1367	C₂²×C₃	—	2	3	no	—
1368	C₂²×C₃	—	2	1	no	—
1369	C₂²×C₃	—	2	3	no	—
1370	C₂²×C₃	—	2	1	no	—
1371	C₂²×C₃	—	2	3	no	—
1372	C₂²×C₃	—	2	3	no	—
1373	C₂²×C₃	—	2	1	no	—
1374	C₂²×C₃	—	2	3	no	—
1375	C₂²×C₃	—	2	1	no	—
1376	C₂²×C₃	—	2	3	no	—
1377	C₂²×C₃	—	2	3	no	—
1378	C₂²×C₃	—	4	12	no	—
1379	C₂²×C₃	—	8	6	no	—
1380	C₂²×C₃	C₂³×D₄	1	6	yes	—
1381	C₂²×C₃	#585	1	2	yes	complemented
1382	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1383	C₂×D₃	—	2	6	no	—
1384	C₂×D₃	—	2	6	no	—
1385	C₂×D₃	—	2	2	no	—
1386	C₂×D₃	—	2	6	no	—
1387	C₂×D₃	—	2	2	no	—
1388	C₂×D₃	—	2	6	no	—
1389	C₂×D₃	—	2	2	no	—
1390	C₂×D₃	—	2	6	no	—
1391	C₂×D₃	—	4	24	no	—
1392	C₂×D₃	—	4	24	no	—
1393	C₂×D₃	—	8	12	no	—
1394	C₂×D₃	—	8	24	no	—
1395	C₂×D₃	—	8	12	no	—
1396	C₂×D₃	C₂³×D₄	1	12	yes	—
1397	C₃×C₄	—	2	3	no	—
1398	C₃×C₄	—	2	1	no	—
1399	C₃×C₄	—	2	1	no	—
1400	C₃×C₄	—	2	3	no	—
1401	C₃×C₄	—	2	3	no	—
1402	C₃×C₄	—	2	1	no	—
1403	C₃×C₄	—	2	1	no	—
1404	C₃×C₄	—	2	3	no	—
1405	C₃×C₄	C₂³×D₄	1	2	yes	—
1406	C₃×C₄	C₂³×D₄	1	6	yes	—
1407	Dic₃	—	2	6	no	—
1408	Dic₃	—	2	2	no	—
1409	Dic₃	—	2	2	no	—
1410	Dic₃	—	2	6	no	—
1411	Dic₃	C₂³×D₄	1	4	yes	—
1412	C₂³	—	2	6	no	—
1413	C₂³	—	2	6	no	—
1414	C₂³	—	2	6	no	—
1415	C₂³	—	3	6	no	—
1416	C₂³	—	3	24	no	—
1417	C₂³	—	3	6	no	—
1418	C₂³	—	3	2	no	—
1419	C₂³	—	4	3	no	—
1420	C₂³	—	4	3	no	—
1421	C₂³	—	4	3	no	—
1422	C₂³	—	6	12	no	—
1423	C₂³	—	6	12	no	—
1424	C₂³	—	6	24	no	—
1425	C₂³	—	6	12	no	—
1426	C₂³	—	6	12	no	—
1427	C₂³	—	12	6	no	—
1428	C₂³	—	12	6	no	—
1429	C₂³	—	12	6	no	—
1430	C₂³	—	12	6	no	—
1431	C₂³	—	12	6	no	—
1432	C₂³	—	12	6	no	—
1433	C₂³	—	12	12	no	—
1434	C₂³	—	12	6	no	—
1435	C₂³	—	12	12	no	—
1436	C₂³	—	24	48	no	—
1437	C₂³	C₂⁴×D₃	1	3	yes	—
1438	C₂³	C₂⁴×D₃	1	3	yes	—
1439	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1440	C₂³	C₂⁴×D₃	1	3	yes	—
1441	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1442	Q₈	—	2	6	no	—
1443	Q₈	—	2	6	no	—
1444	Q₈	—	3	4	no	—
1445	Q₈	—	6	12	no	—
1446	Q₈	—	6	4	no	—
1447	Q₈	—	6	6	no	—
1448	Q₈	—	6	12	no	—
1449	Q₈	—	6	2	no	—
1450	Q₈	C₂×D₃×D₄	1	4	yes	—
1451	D₄	—	2	12	no	—
1452	D₄	—	2	12	no	—
1453	D₄	—	2	2	no	—
1454	D₄	—	2	6	no	—
1455	D₄	—	2	6	no	—
1456	D₄	—	2	6	no	—
1457	D₄	—	3	24	no	—
1458	D₄	—	3	12	no	—
1459	D₄	—	3	24	no	—
1460	D₄	—	4	3	no	—
1461	D₄	—	4	3	no	—
1462	D₄	—	4	6	no	—
1463	D₄	—	6	12	no	—
1464	D₄	—	6	24	no	—
1465	D₄	—	6	12	no	—
1466	D₄	—	6	12	no	—
1467	D₄	—	6	4	no	—
1468	D₄	—	6	12	no	—
1469	D₄	—	6	12	no	—
1470	D₄	—	6	24	no	—
1471	D₄	—	6	12	no	—
1472	D₄	—	6	12	no	—
1473	D₄	—	6	4	no	—
1474	D₄	—	6	6	no	—
1475	D₄	—	6	12	no	—
1476	D₄	—	6	2	no	—
1477	D₄	—	12	6	no	—
1478	D₄	—	12	6	no	—
1479	D₄	—	12	6	no	—
1480	D₄	—	12	12	no	—
1481	D₄	—	12	6	no	—
1482	D₄	—	12	6	no	—
1483	D₄	C₂×D₃×D₄	1	12	yes	—
1484	C₂×C₄	—	2	6	no	—
1485	C₂×C₄	—	2	6	no	—
1486	C₂×C₄	—	2	2	no	—
1487	C₂×C₄	—	2	2	no	—
1488	C₂×C₄	—	2	6	no	—
1489	C₂×C₄	—	2	6	no	—
1490	C₂×C₄	—	2	6	no	—
1491	C₂×C₄	—	2	6	no	—
1492	C₂×C₄	—	2	6	no	—
1493	C₂×C₄	—	2	6	no	—
1494	C₂×C₄	—	3	2	no	—
1495	C₂×C₄	—	3	24	no	—
1496	C₂×C₄	—	3	2	no	—
1497	C₂×C₄	—	3	6	no	—
1498	C₂×C₄	—	3	6	no	—
1499	C₂×C₄	—	3	2	no	—
1500	C₂×C₄	—	4	3	no	—
1501	C₂×C₄	—	4	3	no	—
1502	C₂×C₄	—	6	4	no	—
1503	C₂×C₄	—	6	12	no	—
1504	C₂×C₄	—	6	12	no	—
1505	C₂×C₄	—	6	12	no	—
1506	C₂×C₄	—	6	24	no	—
1507	C₂×C₄	—	6	4	no	—
1508	C₂×C₄	—	6	12	no	—
1509	C₂×C₄	—	6	12	no	—
1510	C₂×C₄	—	6	12	no	—
1511	C₂×C₄	—	6	12	no	—
1512	C₂×C₄	—	12	6	no	—
1513	C₂×C₄	—	12	12	no	—
1514	C₂×C₄	—	12	6	no	—
1515	C₂×C₄	—	12	6	no	—
1516	C₂×C₄	C₂×D₃×D₄	1	12	yes	—
1517	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1518	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1519	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1520	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1521	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1522	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1523	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1524	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1525	C₂×C₄	C₂⁴×D₃	1	3	yes	—
1526	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1527	C₂×C₃	—	2	2	no	—
1528	C₂×C₃	—	2	6	no	—
1529	C₂×C₃	—	4	3	no	—
1530	C₂×C₃	—	4	3	no	—
1531	C₂×C₃	—	4	1	no	—
1532	C₂×C₃	C₂⁴×D₄	1	1	yes	characteristic
1533	C₂×C₃	C₂×#585	1	1	yes	characteristic
1534	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1535	D₃	—	2	12	no	—
1536	D₃	—	4	6	no	—
1537	D₃	—	4	2	no	—
1538	C₂²	—	2	1	no	—
1539	C₂²	—	2	3	no	—
1540	C₂²	—	2	3	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	2	1	no	—
1543	C₂²	—	2	3	no	—
1544	C₂²	—	2	3	no	—
1545	C₂²	—	2	1	no	—
1546	C₂²	—	2	3	no	—
1547	C₂²	—	2	3	no	—
1548	C₂²	—	2	3	no	—
1549	C₂²	—	2	3	no	—
1550	C₂²	—	2	1	no	—
1551	C₂²	—	3	12	no	—
1552	C₂²	—	4	12	no	—
1553	C₂²	—	6	6	no	—
1554	C₂²	—	6	6	no	—
1555	C₂²	—	6	2	no	—
1556	C₂²	—	6	6	no	—
1557	C₂²	—	6	2	no	—
1558	C₂²	—	6	6	no	—
1559	C₂²	—	6	2	no	—
1560	C₂²	—	6	6	no	—
1561	C₂²	—	8	6	no	—
1562	C₂²	—	12	24	no	—
1563	C₂²	—	12	24	no	—
1564	C₂²	—	24	12	no	—
1565	C₂²	—	24	24	no	—
1566	C₂²	—	24	12	no	—
1567	C₂²	C₂²×D₃×D₄	1	6	yes	—
1568	C₂²	#5964	1	2	yes	complemented
1569	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	3	no	—
1573	C₄	—	2	3	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	3	no	—
1576	C₄	—	2	1	no	—
1577	C₄	—	2	3	no	—
1578	C₄	—	3	4	no	—
1579	C₄	—	6	2	no	—
1580	C₄	—	6	6	no	—
1581	C₄	—	6	2	no	—
1582	C₄	—	6	6	no	—
1583	C₄	C₂²×D₃×D₄	1	2	yes	—
1584	C₄	C₂²×D₃×D₄	1	6	yes	—
1585	C₃	#62987	1	1	yes	characteristic, complemented, Sylow
1586	C₂	—	2	2	no	—
1587	C₂	—	2	6	no	—
1588	C₂	—	4	3	no	—
1589	C₂	—	4	1	no	—
1590	C₂	—	4	3	no	—
1591	C₂	—	6	12	no	—
1592	C₂	—	12	6	no	—
1593	C₂	—	12	2	no	—
1594	C₂	C₂³×D₃×D₄	1	1	yes	characteristic
1595	C₂	C₂×#5964	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×D₄×#41	C₂
hypercenter	D₄×#41	D₃
hypocenter	C₃	#62987
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. C₂×#5964	C₂	semidirect
2. C₂²×#1009	C₂	semidirect
3. C₃×D₄×#41	C₂	semidirect
4. #87275	C₂	semidirect
5. #87264	C₂	semidirect
6. #86769	C₂	semidirect
7. #86745	C₂	semidirect
8. #86715	C₂	semidirect
9. #86710	C₂	semidirect
10. #86700	C₂	semidirect
11. #86665	C₂	semidirect
12. D₃×#546	C₂	semidirect
13. #86620	C₂	semidirect
14. #86244	C₂	semidirect
15. #86241	C₂	semidirect
16. #86042	C₂	semidirect
17. #86041	C₂	semidirect
18. #86040	C₂	semidirect
19. #86039	C₂	semidirect
20. #85847	C₂	semidirect
21. C₄×#1009	C₂	semidirect
22. D₄×#235	C₂	semidirect
23. C₂×#5550	C₂	semidirect
25. C₂²×C₃×#41	C₂²	semidirect
26. C₂²×C₃×#41	C₂²	semidirect
28. C₂×#1010	C₂²	semidirect
29. C₂×#1010	C₂²	semidirect
32. C₂×#1009	C₂²	semidirect
33. C₂×#1009	C₂²	semidirect
34. C₂×#1009	C₂²	semidirect
35. C₂×#1009	C₂²	semidirect
36. C₂×#1009	C₂²	semidirect
37. C₂×#1009	C₂²	semidirect
38. C₂×D₃×#41	C₂²	semidirect
39. C₂×D₃×#41	C₂²	semidirect
40. C₂×#1007	C₂²	semidirect
41. C₂²×#239	C₂²	semidirect
42. C₂×#1004	C₂²	semidirect
43. C₂²×D₃×D₄	C₂²	semidirect
44. C₂²×#235	C₂²	semidirect
45. C₂²×#235	C₂²	semidirect
46. C₂²×#235	C₂²	semidirect
47. C₂³×D₁₂	C₂²	semidirect
48. C₃×#550	C₂²	semidirect
49. C₃×D₄×Q₈	C₂²	semidirect
50. C₃×#548	C₂²	semidirect
51. C₃×#548	C₂²	semidirect
52. C₃×#547	C₂²	semidirect
53. C₃×#546	C₂²	semidirect
54. C₃×#546	C₂²	semidirect
55. C₃×D₄²	C₂²	semidirect
56. C₃×#532	C₂²	semidirect
57. C₃×#525	C₂²	semidirect
58. C₃×#525	C₂²	semidirect
59. C₃×C₄×#41	C₂²	semidirect
60. C₂×C₃×C₄×D₄	C₂²	semidirect
61. #5834	C₂²	semidirect
62. #5833	C₂²	semidirect
63. #5833	C₂²	semidirect
64. #5831	C₂²	semidirect
65. #5830	C₂²	semidirect
66. #5829	C₂²	semidirect
67. #5827	C₂²	semidirect
68. #5825	C₂²	semidirect
69. #5824	C₂²	semidirect
70. #5817	C₂²	semidirect
71. Q₈×#67	C₂²	semidirect
72. #5806	C₂²	semidirect
73. D₄×#67	C₂²	semidirect
74. D₄×#67	C₂²	semidirect
75. C₂×#937	C₂²	semidirect
76. #5791	C₂²	semidirect
77. #5791	C₂²	semidirect
78. C₂×#930	C₂²	semidirect
79. C₂×#924	C₂²	semidirect
80. #5726	C₂²	semidirect
81. #5724	C₂²	semidirect
82. #5717	C₂²	semidirect
83. #5715	C₂²	semidirect
84. #5676	C₂²	semidirect
85. #5676	C₂²	semidirect
86. D₃×#124	C₂²	semidirect
87. #5668	C₂²	semidirect
88. #5655	C₂²	semidirect
89. #5654	C₂²	semidirect
90. #5653	C₂²	semidirect
91. D₃×#123	C₂²	semidirect
92. #5631	C₂²	semidirect
93. #5631	C₂²	semidirect
94. #5630	C₂²	semidirect
95. #5630	C₂²	semidirect
96. #5629	C₂²	semidirect
97. #5628	C₂²	semidirect
98. #5627	C₂²	semidirect
99. D₃×C₂²⋊Q₈	C₂²	semidirect
100. #5612	C₂²	semidirect
101. #5612	C₂²	semidirect
102. #5610	C₂²	semidirect
103. #5610	C₂²	semidirect
104. #5609	C₂²	semidirect
105. #5609	C₂²	semidirect
106. #5608	C₂²	semidirect
107. #5607	C₂²	semidirect
108. #5606	C₂²	semidirect
109. #5605	C₂²	semidirect
110. D₃×#121	C₂²	semidirect
111. D₃×#121	C₂²	semidirect
112. #5591	C₂²	semidirect
113. #5590	C₂²	semidirect
114. #5589	C₂²	semidirect
115. D₃×#120	C₂²	semidirect
116. #5576	C₂²	semidirect
117. #5576	C₂²	semidirect
118. #5574	C₂²	semidirect
119. C₄×#239	C₂²	semidirect
120. #5554	C₂²	semidirect
121. #5554	C₂²	semidirect
122. #5553	C₂²	semidirect
123. #5552	C₂²	semidirect
124. #5552	C₂²	semidirect
125. #5552	C₂²	semidirect
126. #5551	C₂²	semidirect
127. #5551	C₂²	semidirect
128. #5550	C₂²	semidirect
129. #5550	C₂²	semidirect
130. #5550	C₂²	semidirect
131. #5550	C₂²	semidirect
132. #5550	C₂²	semidirect
133. #5550	C₂²	semidirect
134. #5550	C₂²	semidirect
135. #5550	C₂²	semidirect
136. #5550	C₂²	semidirect
137. #5550	C₂²	semidirect
138. D₄×D₁₂	C₂²	semidirect
139. D₄×D₁₂	C₂²	semidirect
140. #5548	C₂²	semidirect
141. #5547	C₂²	semidirect
142. #5547	C₂²	semidirect
143. #5545	C₂²	semidirect
144. C₄×D₃×D₄	C₂²	semidirect
145. C₄×D₃×D₄	C₂²	semidirect
146. D₄×Dic₆	C₂²	semidirect
147. #5526	C₂²	semidirect
148. #5525	C₂²	semidirect
149. #5523	C₂²	semidirect
150. #5521	C₂²	semidirect
151. #5507	C₂²	semidirect
152. C₂×#894	C₂²	semidirect
153. #5490	C₂²	semidirect
154. #5490	C₂²	semidirect
155. C₂×#884	C₂²	semidirect
156. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
157. #5477	C₂²	semidirect
158. C₂×#875	C₂²	semidirect
159. C₄×#235	C₂²	semidirect
160. C₂×C₄×D₁₂	C₂²	semidirect
180. D₄×#41	D₃	semidirect
191. C₂×C₃×#41	C₂³	semidirect
192. C₂×C₃×#41	C₂³	semidirect
193. C₂×C₃×#41	C₂³	semidirect
195. C₂²×C₃×Q₈	C₂³	semidirect
198. C₂²×C₃×D₄	C₂³	semidirect
200. C₂³×C₃×C₄	C₂³	semidirect
202. C₂²×#67	C₂³	semidirect
203. C₂²×#67	C₂³	semidirect
204. C₂²×#67	C₂³	semidirect
213. #1009	D₄	semidirect
222. C₂×#239	C₂³	semidirect
223. C₂×D₃×Q₈	C₂³	semidirect
224. C₂×D₃×Q₈	C₂³	semidirect
226. C₂×#237	C₂³	semidirect
227. C₂×#237	C₂³	semidirect
228. C₂×#237	C₂³	semidirect
237. C₂×D₃×D₄	C₂³	semidirect
238. C₂×D₃×D₄	C₂³	semidirect
239. C₂×D₃×D₄	C₂³	semidirect
249. C₂×#235	C₂³	semidirect
250. C₂×#235	C₂³	semidirect
251. C₂×#235	C₂³	semidirect
252. C₂×#235	C₂³	semidirect
253. C₂×#235	C₂³	semidirect
254. C₂×#235	C₂³	semidirect
255. C₂×#235	C₂³	semidirect
256. C₂×#235	C₂³	semidirect
265. C₂²×D₁₂	C₂³	semidirect
267. C₂²×C₄×D₃	C₂³	semidirect
268. C₂²×C₄×D₃	C₂³	semidirect
269. C₂²×C₄×D₃	C₂³	semidirect
271. C₂²×Dic₆	C₂³	semidirect
272. C₂²×Dic₆	C₂³	semidirect
273. C₃×C₄⋊Q₈	C₂³	semidirect
274. C₃×#127	C₂³	semidirect
275. C₃×#124	C₂³	semidirect
276. C₃×#124	C₂³	semidirect
277. C₃×#123	C₂³	semidirect
278. C₃×#123	C₂³	semidirect
280. C₃×C₂²⋊Q₈	C₂³	semidirect
281. C₃×C₂²⋊Q₈	C₂³	semidirect
282. C₃×C₂²⋊Q₈	C₂³	semidirect
284. C₃×#121	C₂³	semidirect
285. C₃×#121	C₂³	semidirect
286. C₃×#121	C₂³	semidirect
287. C₃×#121	C₂³	semidirect
288. C₃×#121	C₂³	semidirect
290. C₃×#120	C₂³	semidirect
291. C₃×C₄×Q₈	C₂³	semidirect
292. C₃×C₄×Q₈	C₂³	semidirect
297. C₃×C₄×D₄	C₂³	semidirect
298. C₃×C₄×D₄	C₂³	semidirect
299. C₃×C₄×D₄	C₂³	semidirect
300. C₃×C₄×D₄	C₂³	semidirect
301. C₃×C₄×D₄	C₂³	semidirect
302. C₃×C₄×D₄	C₂³	semidirect
303. C₃×C₄×D₄	C₂³	semidirect
304. C₃×#117	C₂³	semidirect
305. C₂×C₃×C₄⋊C₄	C₂³	semidirect
307. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
308. C₂×C₃×C₄²	C₂³	semidirect
310. #953	C₂³	semidirect
312. #947	C₂³	semidirect
313. #946	C₂³	semidirect
314. #946	C₂³	semidirect
315. Q₈×Dic₃	C₂³	semidirect
316. #944	C₂³	semidirect
317. #940	C₂³	semidirect
318. #940	C₂³	semidirect
320. #939	C₂³	semidirect
321. #939	C₂³	semidirect
322. #939	C₂³	semidirect
323. #939	C₂³	semidirect
324. #938	C₂³	semidirect
325. #938	C₂³	semidirect
326. #938	C₂³	semidirect
327. #938	C₂³	semidirect
330. #937	C₂³	semidirect
331. #937	C₂³	semidirect
332. #937	C₂³	semidirect
333. #937	C₂³	semidirect
334. #937	C₂³	semidirect
335. #936	C₂³	semidirect
336. #935	C₂³	semidirect
338. D₄×Dic₃	C₂³	semidirect
340. #930	C₂³	semidirect
341. #930	C₂³	semidirect
342. #930	C₂³	semidirect
343. #930	C₂³	semidirect
344. #930	C₂³	semidirect
345. #930	C₂³	semidirect
346. #930	C₂³	semidirect
347. #930	C₂³	semidirect
348. #929	C₂³	semidirect
349. #929	C₂³	semidirect
351. C₄×#67	C₂³	semidirect
352. C₄×#67	C₂³	semidirect
353. C₄×#67	C₂³	semidirect
354. C₄×#67	C₂³	semidirect
355. C₄×#67	C₂³	semidirect
356. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
357. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
358. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
359. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
360. #926	C₂³	semidirect
361. C₂×C₄⋊Dic₃	C₂³	semidirect
364. #924	C₂³	semidirect
365. #924	C₂³	semidirect
366. #924	C₂³	semidirect
367. #924	C₂³	semidirect
368. #924	C₂³	semidirect
369. C₂×Dic₃⋊C₄	C₂³	semidirect
370. #897	C₂³	semidirect
371. #897	C₂³	semidirect
372. #896	C₂³	semidirect
373. #896	C₂³	semidirect
374. #896	C₂³	semidirect
375. #895	C₂³	semidirect
376. #895	C₂³	semidirect
377. #895	C₂³	semidirect
378. #895	C₂³	semidirect
379. #894	C₂³	semidirect
380. #894	C₂³	semidirect
381. #894	C₂³	semidirect
382. #894	C₂³	semidirect
383. #894	C₂³	semidirect
384. #894	C₂³	semidirect
385. #893	C₂³	semidirect
386. #893	C₂³	semidirect
387. #893	C₂³	semidirect
388. #892	C₂³	semidirect
389. D₃×C₄⋊C₄	C₂³	semidirect
390. D₃×C₄⋊C₄	C₂³	semidirect
391. D₃×C₄⋊C₄	C₂³	semidirect
392. #888	C₂³	semidirect
393. #886	C₂³	semidirect
394. #885	C₂³	semidirect
395. #885	C₂³	semidirect
396. #885	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. #884	C₂³	semidirect
404. #884	C₂³	semidirect
405. #883	C₂³	semidirect
406. #883	C₂³	semidirect
407. #883	C₂³	semidirect
408. #883	C₂³	semidirect
410. #882	C₂³	semidirect
411. #882	C₂³	semidirect
412. #882	C₂³	semidirect
413. #882	C₂³	semidirect
415. #67⋊C₄	C₂³	semidirect
416. #67⋊C₄	C₂³	semidirect
417. #67⋊C₄	C₂³	semidirect
420. D₃×C₂²⋊C₄	C₂³	semidirect
421. D₃×C₂²⋊C₄	C₂³	semidirect
422. D₃×C₂²⋊C₄	C₂³	semidirect
423. D₃×C₂²⋊C₄	C₂³	semidirect
424. D₃×C₂²⋊C₄	C₂³	semidirect
426. #878	C₂³	semidirect
427. #875	C₂³	semidirect
428. #875	C₂³	semidirect
429. #875	C₂³	semidirect
430. #875	C₂³	semidirect
431. #875	C₂³	semidirect
432. #874	C₂³	semidirect
433. C₄×D₁₂	C₂³	semidirect
434. C₄×D₁₂	C₂³	semidirect
435. C₄×D₁₂	C₂³	semidirect
436. C₄×D₁₂	C₂³	semidirect
437. C₄×D₁₂	C₂³	semidirect
438. C₄×D₁₂	C₂³	semidirect
439. C₄×D₁₂	C₂³	semidirect
440. #872	C₂³	semidirect
441. C₄²×D₃	C₂³	semidirect
442. #869	C₂³	semidirect
443. C₄×Dic₆	C₂³	semidirect
444. C₄×Dic₆	C₂³	semidirect
464. C₂²×#41	C₂×D₃	semidirect
465. C₂²×#41	C₂×D₃	semidirect
470. #550	C₂×D₃	semidirect
473. D₄×Q₈	C₂×D₃	semidirect
481. #548	C₂×D₃	semidirect
482. #548	C₂×D₃	semidirect
491. #547	C₂×D₃	semidirect
518. #546	C₂×D₃	semidirect
519. #546	C₂×D₃	semidirect
528. D₄²	C₂×D₃	semidirect
547. #532	C₂×D₃	semidirect
556. #525	C₂×D₃	semidirect
557. #525	C₂×D₃	semidirect
575. C₄×#41	C₂×D₃	semidirect
579. C₂×C₄×D₄	C₂×D₃	semidirect
597. C₃×#41	C₂×D₄	semidirect
656. #239	C₂×D₄	semidirect
671. D₃×D₄	C₂×D₄	semidirect
685. #235	C₂×D₄	semidirect
693. C₂×D₁₂	C₂×D₄	semidirect
831. C₂×#41	C₂²×D₃	semidirect
832. C₂×#41	C₂²×D₃	semidirect
833. C₂×#41	C₂²×D₃	semidirect
840. C₂²×Q₈	C₂²×D₃	semidirect
867. C₂²×D₄	C₂²×D₃	semidirect
873. C₂³×C₄	C₂²×D₃	semidirect
877. C₄⋊Q₈	C₂²×D₃	semidirect
881. #127	C₂²×D₃	semidirect
892. #124	C₂²×D₃	semidirect
893. #124	C₂²×D₃	semidirect
908. #123	C₂²×D₃	semidirect
909. #123	C₂²×D₃	semidirect
927. C₂²⋊Q₈	C₂²×D₃	semidirect
928. C₂²⋊Q₈	C₂²×D₃	semidirect
929. C₂²⋊Q₈	C₂²×D₃	semidirect
961. #121	C₂²×D₃	semidirect
962. #121	C₂²×D₃	semidirect
963. #121	C₂²×D₃	semidirect
964. #121	C₂²×D₃	semidirect
965. #121	C₂²×D₃	semidirect
981. #120	C₂²×D₃	semidirect
985. C₄×Q₈	C₂²×D₃	semidirect
986. C₄×Q₈	C₂²×D₃	semidirect
1013. C₄×D₄	C₂²×D₃	semidirect
1014. C₄×D₄	C₂²×D₃	semidirect
1015. C₄×D₄	C₂²×D₃	semidirect
1016. C₄×D₄	C₂²×D₃	semidirect
1017. C₄×D₄	C₂²×D₃	semidirect
1018. C₄×D₄	C₂²×D₃	semidirect
1019. C₄×D₄	C₂²×D₃	semidirect
1023. #117	C₂²×D₃	semidirect
1029. C₂×C₄⋊C₄	C₂²×D₃	semidirect
1043. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
1045. C₂×C₄²	C₂²×D₃	semidirect
1199. #41	D₃×D₄	semidirect
1381. C₂²×C₃	#585	semidirect
1568. C₂²	#5964	semidirect
1585. C₃	#62987	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5964	2
C₂²×#1009	2
C₃×D₄×#41	2
#87275	2
#87264	2
#86769	2
#86745	2
#86715	2
#86710	2
#86700	2
#86665	2
D₃×#546	2
#86620	2
#86244	2
#86241	2
#86042	2
#86041	2
#86040	2
#86039	2
#85847	2
C₄×#1009	2
D₄×#235	2
C₂×#5550	2
#62987	3