Subgroups — D₄×#551 #7699478

Order 512.

9171 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#551	C₂	1	2	yes	maximal, complemented
2	#59843	C₂	1	1	yes	maximal, characteristic, complemented
3	#59820	C₂	1	2	yes	maximal, complemented
4	#59476	C₂	1	2	yes	maximal, complemented
5	#59375	C₂	1	1	yes	maximal, characteristic, complemented
6	#59273	C₂	1	2	yes	maximal, complemented
7	#59198	C₂	1	1	yes	maximal, characteristic, complemented
8	#59191	C₂	1	2	yes	maximal, complemented
9	#59168	C₂	1	4	yes	maximal, complemented
10	#59162	C₂	1	2	yes	maximal, complemented
11	#59133	C₂	1	4	yes	maximal, complemented
12	#59011	C₂	1	4	yes	maximal, complemented
13	#59006	C₂	1	2	yes	maximal, complemented
14	#36264	C₂	1	2	yes	maximal, complemented
15	#36262	C₂	1	2	yes	maximal, complemented
16	#36222	C₂	1	4	yes	maximal, complemented
17	#36220	C₂	1	4	yes	maximal, complemented
18	#36183	C₂	1	2	yes	maximal, complemented
19	#36158	C₂	1	4	yes	maximal, complemented
20	D₄×#126	C₂	1	2	yes	maximal, complemented
21	D₄×#124	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×#123	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#123	C₂	1	2	yes	maximal, complemented
24	D₄×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
25	D₄×#120	C₂	1	1	yes	maximal, characteristic
26	C₄×#551	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×D₄²	C₂	1	2	yes	maximal, complemented
28	D₄×#117	C₂	1	2	yes	maximal, complemented
29	C₂×D₄×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
30	C₂⁴×D₄	C₂²	1	1	yes	characteristic
31	C₂×#551	—	2	32	no	—
32	C₂×#551	C₂²	1	2	yes	—
33	C₂×#551	C₂²	1	1	yes	characteristic
34	C₂×#551	C₂²	1	4	yes	complemented
35	C₂×#551	C₂²	1	4	yes	complemented
36	C₂×#551	C₂²	1	4	yes	complemented
37	C₂×#551	C₂²	1	4	yes	complemented
38	C₂×#551	C₂²	1	4	yes	complemented
39	C₂×#551	C₂²	1	2	yes	complemented
40	C₂×#551	C₂²	1	4	yes	complemented
41	C₂×#551	C₂²	1	2	yes	complemented
42	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄²	C₂²	1	2	yes	—
44	C₂×D₄²	C₂²	1	1	yes	characteristic
45	C₂²×#126	C₂²	1	4	yes	complemented
46	C₂²×#124	C₂²	1	2	yes	complemented
47	C₂²×#123	C₂²	1	2	yes	complemented
48	C₂²×#123	C₂²	1	4	yes	complemented
49	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	complemented
50	C₂²×#120	C₂²	1	2	yes	—
51	C₂²×C₄×D₄	C₂²	1	2	yes	—
52	C₂²×C₄×D₄	C₂²	1	2	yes	—
53	C₂²×C₄×D₄	C₂²	1	4	yes	complemented
54	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#117	C₂²	1	4	yes	complemented
56	C₂³×C₂²⋊C₄	C₂²	1	4	yes	complemented
57	#2860	C₂²	1	2	yes	complemented
58	#2858	C₂²	1	1	yes	characteristic, complemented
59	#2857	C₂²	1	2	yes	complemented
60	#2854	C₂²	1	2	yes	complemented
61	#2854	C₂²	1	1	yes	characteristic, complemented
62	#2852	C₂²	1	4	yes	complemented
63	#2850	C₂²	1	2	yes	complemented
64	#2849	C₂²	1	4	yes	complemented
65	#2849	C₂²	1	2	yes	complemented
66	#2848	C₂²	1	4	yes	complemented
67	#2847	C₂²	1	1	yes	characteristic
68	#2846	C₂²	1	2	yes	—
69	#2730	C₂²	1	4	yes	complemented
70	#2728	C₂²	1	2	yes	complemented
71	#2723	C₂²	1	4	yes	complemented
72	#2722	C₂²	1	2	yes	complemented
73	#2717	C₂²	1	2	yes	complemented
74	#2706	C₂²	1	4	yes	complemented
75	#2705	C₂²	1	4	yes	complemented
76	#2697	C₂²	1	2	yes	complemented
77	#2696	C₂²	1	4	yes	complemented
78	#2693	C₂²	1	2	yes	complemented
79	#2685	C₂²	1	4	yes	complemented
80	#2684	C₂²	1	2	yes	complemented
81	#2610	C₂²	1	4	yes	complemented
82	#2609	C₂²	1	2	yes	complemented
83	#2603	C₂²	1	4	yes	complemented
84	#2602	C₂²	1	4	yes	complemented
85	#2601	C₂²	1	4	yes	complemented
86	#2600	C₂²	1	2	yes	complemented
87	#2598	C₂²	1	4	yes	complemented
88	#2564	C₂²	1	4	yes	complemented
89	#2561	C₂²	1	4	yes	complemented
90	#2560	C₂²	1	4	yes	complemented
91	#2557	C₂²	1	4	yes	complemented
92	#2554	C₂²	1	4	yes	complemented
93	#2553	C₂²	1	4	yes	complemented
94	#2548	C₂²	1	1	yes	characteristic, complemented
95	#2547	C₂²	1	1	yes	characteristic, complemented
96	#2542	C₂²	1	2	yes	complemented
97	#2538	C₂²	1	2	yes	complemented
98	#2534	C₂²	1	4	yes	complemented
99	#2534	C₂²	1	4	yes	complemented
100	#2521	C₂²	1	4	yes	complemented
101	#2512	C₂²	1	2	yes	complemented
102	#2512	C₂²	1	2	yes	complemented
103	#2512	C₂²	1	2	yes	complemented
104	#2501	C₂²	1	2	yes	complemented
105	#2501	C₂²	1	1	yes	characteristic, complemented
106	#2498	C₂²	1	4	yes	complemented
107	#2496	C₂²	1	2	yes	complemented
108	#2496	C₂²	1	2	yes	complemented
109	#2496	C₂²	1	2	yes	complemented
110	#2491	C₂²	1	2	yes	complemented
111	#2491	C₂²	1	2	yes	complemented
112	#2488	C₂²	1	4	yes	complemented
113	#2486	C₂²	1	2	yes	complemented
114	#2486	C₂²	1	1	yes	characteristic, complemented
115	#2483	C₂²	1	2	yes	complemented
116	#2482	C₂²	1	4	yes	complemented
117	#2481	C₂²	1	4	yes	complemented
118	#2481	C₂²	1	4	yes	complemented
119	#2481	C₂²	1	4	yes	complemented
120	#2480	C₂²	1	4	yes	complemented
121	#2480	C₂²	1	4	yes	complemented
122	#2480	C₂²	1	4	yes	complemented
123	#2480	C₂²	1	4	yes	complemented
124	#2480	C₂²	1	4	yes	complemented
125	#2479	C₂²	1	4	yes	complemented
126	#2477	C₂²	1	4	yes	complemented
127	#2472	C₂²	1	4	yes	complemented
128	#2472	C₂²	1	4	yes	complemented
129	#2472	C₂²	1	4	yes	complemented
130	#2472	C₂²	1	4	yes	complemented
131	#2471	C₂²	1	4	yes	complemented
132	#2471	C₂²	1	4	yes	complemented
133	#2467	C₂²	1	4	yes	complemented
134	#2463	C₂²	1	4	yes	complemented
135	#2461	C₂²	1	4	yes	complemented
136	#2461	C₂²	1	4	yes	complemented
137	#2457	C₂²	1	4	yes	complemented
138	#2452	C₂²	1	2	yes	complemented
139	#2452	C₂²	1	2	yes	complemented
140	#2449	C₂²	1	4	yes	complemented
141	#2449	C₂²	1	4	yes	complemented
142	#2445	C₂²	1	2	yes	complemented
143	#2445	C₂²	1	2	yes	complemented
144	#2445	C₂²	1	2	yes	complemented
145	#2443	C₂²	1	4	yes	complemented
146	#2443	C₂²	1	4	yes	complemented
147	#2443	C₂²	1	4	yes	complemented
148	#2440	C₂²	1	2	yes	complemented
149	#2440	C₂²	1	2	yes	complemented
150	#2438	C₂²	1	4	yes	complemented
151	#2437	C₂²	1	4	yes	complemented
152	#2437	C₂²	1	4	yes	complemented
153	#2437	C₂²	1	4	yes	complemented
154	#2436	C₂²	1	2	yes	complemented
155	#2435	C₂²	1	2	yes	complemented
156	#2433	C₂²	1	1	yes	characteristic
157	#2433	C₂²	1	2	yes	—
158	#2422	C₂²	1	2	yes	complemented
159	#2422	C₂²	1	2	yes	complemented
160	#2422	C₂²	1	2	yes	complemented
161	#2419	C₂²	1	4	yes	complemented
162	#2418	C₂²	1	4	yes	complemented
163	#2418	C₂²	1	4	yes	complemented
164	#2418	C₂²	1	4	yes	complemented
165	#2418	C₂²	1	4	yes	complemented
166	#2418	C₂²	1	4	yes	complemented
167	#2417	C₂²	1	4	yes	complemented
168	#2412	C₂²	1	4	yes	complemented
169	#2412	C₂²	1	4	yes	complemented
170	#2412	C₂²	1	4	yes	complemented
171	#2412	C₂²	1	2	yes	complemented
172	#2411	C₂²	1	4	yes	complemented
173	#2411	C₂²	1	4	yes	complemented
174	#2410	C₂²	1	2	yes	—
175	#2410	C₂²	1	4	yes	—
176	#2409	C₂²	1	4	yes	complemented
177	#2408	C₂²	1	2	yes	—
178	#2408	C₂²	1	1	yes	characteristic
179	#2405	C₂²	1	4	yes	complemented
180	#2405	C₂²	1	2	yes	complemented
181	#2403	C₂²	1	2	yes	—
182	#2403	C₂²	1	4	yes	—
183	#2374	C₂²	1	1	yes	characteristic, complemented
184	#2373	C₂²	1	2	yes	complemented
185	#2372	C₂²	1	1	yes	characteristic, complemented
186	#2368	C₂²	1	2	yes	complemented
187	#2366	C₂²	1	2	yes	complemented
188	#2361	C₂²	1	2	yes	complemented
189	#2361	C₂²	1	4	yes	complemented
190	#2361	C₂²	1	2	yes	complemented
191	#2359	C₂²	1	4	yes	complemented
192	#2359	C₂²	1	2	yes	complemented
193	#2358	C₂²	1	1	yes	characteristic
194	#2358	C₂²	1	4	yes	complemented
195	#2358	C₂²	1	4	yes	complemented
196	#2358	C₂²	1	4	yes	complemented
197	#2354	C₂²	1	2	yes	complemented
198	#2354	C₂²	1	2	yes	complemented
199	#2353	C₂²	1	2	yes	complemented
200	#2352	C₂²	1	4	yes	complemented
201	#2352	C₂²	1	4	yes	complemented
202	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
203	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
204	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
205	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
206	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
207	#2344	C₂²	1	2	yes	complemented
208	#2344	C₂²	1	2	yes	complemented
209	#2343	C₂²	1	2	yes	complemented
210	#2342	C₂²	1	2	yes	complemented
211	#2342	C₂²	1	4	yes	complemented
212	#2342	C₂²	1	4	yes	complemented
213	#2342	C₂²	1	4	yes	complemented
214	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
215	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
216	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
217	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
218	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
219	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
220	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
221	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
222	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
223	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
224	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
225	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
226	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
227	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
228	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
229	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
230	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
231	C₄×#127	C₂²	1	2	yes	complemented
232	C₄×#126	C₂²	1	2	yes	complemented
233	C₄×#124	C₂²	1	1	yes	characteristic, complemented
234	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
235	C₄×#123	C₂²	1	1	yes	characteristic, complemented
236	C₄×#123	C₂²	1	2	yes	complemented
237	C₄×#121	C₂²	1	2	yes	complemented
238	C₄×#121	C₂²	1	4	yes	complemented
239	C₄×#121	C₂²	1	2	yes	complemented
240	C₄×#120	C₂²	1	1	yes	characteristic
241	C₄×#120	C₂²	1	4	yes	complemented
242	C₄×#120	C₂²	1	4	yes	complemented
243	#2293	C₂²	1	2	yes	complemented
244	#2293	C₂²	1	2	yes	complemented
245	C₂×#390	C₂²	1	2	yes	complemented
246	C₂×#390	C₂²	1	2	yes	complemented
247	#2290	C₂²	1	4	yes	complemented
248	#2290	C₂²	1	4	yes	complemented
249	C₂×#386	C₂²	1	4	yes	complemented
250	C₂×#386	C₂²	1	4	yes	complemented
251	#2285	C₂²	1	2	yes	complemented
252	#2280	C₂²	1	4	yes	complemented
253	C₂×#380	C₂²	1	2	yes	complemented
254	C₂×#379	C₂²	1	4	yes	complemented
255	C₄²×D₄	C₂²	1	2	yes	complemented
256	C₄²×D₄	C₂²	1	1	yes	characteristic, complemented
257	C₄²×D₄	C₂²	1	2	yes	complemented
258	C₄×#117	C₂²	1	2	yes	complemented
259	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
260	C₂⁶	C₂³	1	2	yes	—
261	C₂³×Q₈	C₂³	1	2	yes	complemented
262	C₂³×D₄	—	2	16	no	—
263	C₂³×D₄	—	4	4	no	—
264	C₂³×D₄	C₂³	1	1	yes	characteristic
265	C₂³×D₄	C₂³	1	1	yes	characteristic
266	C₂³×D₄	C₂³	1	2	yes	—
267	C₂³×D₄	C₂³	1	1	yes	characteristic
268	C₂³×D₄	C₂³	1	4	yes	—
269	C₂³×D₄	C₂³	1	2	yes	—
270	C₂³×D₄	C₂³	1	4	yes	—
271	C₂³×D₄	C₂³	1	2	yes	—
272	C₂³×D₄	C₂³	1	2	yes	—
273	C₂⁴×C₄	C₂³	1	1	yes	characteristic
274	C₂⁴×C₄	C₂³	1	4	yes	—
275	C₂⁴×C₄	C₂³	1	4	yes	—
276	C₂⁴×C₄	C₂³	1	2	yes	complemented
277	#551	—	2	32	no	—
278	#551	—	2	16	no	—
279	#551	—	2	32	no	—
280	#551	—	2	16	no	—
281	#551	—	2	32	no	—
282	#551	—	2	16	no	—
283	#551	—	2	32	no	—
284	#551	—	2	32	no	—
285	#551	—	2	32	no	—
286	#551	D₄	1	16	yes	direct product factor
287	D₄×Q₈	—	4	4	no	—
288	D₄²	—	2	16	no	—
289	D₄²	—	4	4	no	—
290	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
291	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
292	C₂×#127	C₂³	1	2	yes	—
293	C₂×#127	C₂³	1	1	yes	characteristic
294	C₂×#126	—	2	32	no	—
295	C₂×#126	C₂³	1	4	yes	—
296	C₂×#126	C₂³	1	4	yes	—
297	C₂×#126	C₂³	1	4	yes	—
298	C₂×#126	C₂³	1	2	yes	—
299	C₂×#126	C₂³	1	4	yes	complemented
300	C₂×#126	C₂³	1	4	yes	complemented
301	C₂×#126	C₂³	1	4	yes	complemented
302	C₂×#126	C₂³	1	4	yes	complemented
303	C₂×#124	—	2	16	no	—
304	C₂×#124	C₂³	1	2	yes	—
305	C₂×#124	C₂³	1	4	yes	—
306	C₂×#124	C₂³	1	1	yes	characteristic
307	C₂×#124	C₂³	1	2	yes	complemented
308	C₂×#124	C₂³	1	2	yes	complemented
309	C₂×#124	C₂³	1	4	yes	complemented
310	C₂×#124	C₂³	1	2	yes	complemented
311	C₂×#123	—	2	32	no	—
312	C₂×#123	—	2	16	no	—
313	C₂×#123	C₂³	1	4	yes	—
314	C₂×#123	C₂³	1	4	yes	—
315	C₂×#123	C₂³	1	2	yes	—
316	C₂×#123	C₂³	1	4	yes	—
317	C₂×#123	C₂³	1	4	yes	—
318	C₂×#123	C₂³	1	4	yes	—
319	C₂×#123	C₂³	1	2	yes	—
320	C₂×#123	C₂³	1	1	yes	characteristic
321	C₂×#123	C₂³	1	2	yes	complemented
322	C₂×#123	C₂³	1	2	yes	complemented
323	C₂×#123	C₂³	1	4	yes	complemented
324	C₂×#123	C₂³	1	4	yes	complemented
325	C₂×#123	C₂³	1	4	yes	complemented
326	C₂×#123	C₂³	1	4	yes	complemented
327	C₂×#123	C₂³	1	4	yes	complemented
328	C₂×#123	C₂³	1	2	yes	complemented
329	C₂×C₂²⋊Q₈	—	2	32	no	—
330	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
331	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
335	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
336	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
337	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
338	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
339	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
340	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
341	C₂×#121	C₂³	1	2	yes	—
342	C₂×#121	C₂³	1	2	yes	—
343	C₂×#121	C₂³	1	4	yes	—
344	C₂×#121	C₂³	1	1	yes	characteristic
345	C₂×#121	C₂³	1	2	yes	—
346	C₂×#121	C₂³	1	1	yes	characteristic
347	C₂×#120	—	2	16	no	—
348	C₂×#120	C₂³	1	2	yes	—
349	C₂×#120	C₂³	1	4	yes	—
350	C₂×#120	C₂³	1	4	yes	—
351	C₂×#120	C₂³	1	4	yes	—
352	C₂×#120	C₂³	1	2	yes	—
353	C₂×#120	C₂³	1	4	yes	—
354	C₂×#120	C₂³	1	2	yes	—
355	C₂×#120	C₂³	1	4	yes	—
356	C₂×#120	C₂³	1	2	yes	—
357	C₂×#120	C₂³	1	2	yes	—
358	C₂×#120	C₂³	1	2	yes	—
359	C₂×#120	C₂³	1	1	yes	characteristic
360	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
361	C₂×C₄×D₄	—	2	16	no	—
362	C₂×C₄×D₄	—	2	32	no	—
363	C₂×C₄×D₄	—	4	8	no	—
364	C₂×C₄×D₄	—	4	4	no	—
365	C₂×C₄×D₄	C₂³	1	4	yes	—
366	C₂×C₄×D₄	C₂³	1	2	yes	—
367	C₂×C₄×D₄	C₂³	1	2	yes	—
368	C₂×C₄×D₄	C₂³	1	2	yes	—
369	C₂×C₄×D₄	C₂³	1	2	yes	—
370	C₂×C₄×D₄	C₂³	1	2	yes	—
371	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
372	C₂×C₄×D₄	C₂³	1	4	yes	—
373	C₂×C₄×D₄	C₂³	1	2	yes	—
374	C₂×C₄×D₄	C₂³	1	4	yes	—
375	C₂×C₄×D₄	C₂³	1	2	yes	—
376	C₂×C₄×D₄	C₂³	1	4	yes	—
377	C₂×C₄×D₄	C₂³	1	2	yes	—
378	C₂×C₄×D₄	C₂³	1	4	yes	—
379	C₂×C₄×D₄	C₂³	1	2	yes	—
380	C₂×C₄×D₄	C₂³	1	2	yes	—
381	C₂×C₄×D₄	C₂³	1	4	yes	—
382	C₂×C₄×D₄	C₂³	1	2	yes	—
383	C₂×C₄×D₄	C₂³	1	4	yes	—
384	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
385	C₂×C₄×D₄	C₂³	1	2	yes	—
386	C₂×C₄×D₄	C₂³	1	4	yes	complemented
387	C₂×C₄×D₄	C₂³	1	4	yes	complemented
388	C₂×C₄×D₄	C₂³	1	4	yes	complemented
389	C₂×C₄×D₄	C₂³	1	4	yes	complemented
390	C₂×C₄×D₄	C₂³	1	2	yes	complemented
391	C₂×C₄×D₄	C₂³	1	4	yes	complemented
392	C₂×C₄×D₄	C₂³	1	4	yes	complemented
393	C₂×#117	—	2	32	no	—
394	C₂×#117	C₂³	1	4	yes	—
395	C₂×#117	C₂³	1	4	yes	—
396	C₂×#117	C₂³	1	4	yes	—
397	C₂×#117	C₂³	1	2	yes	—
398	C₂×#117	C₂³	1	2	yes	—
399	C₂×#117	C₂³	1	4	yes	complemented
400	C₂×#117	C₂³	1	4	yes	complemented
401	C₂×#117	C₂³	1	4	yes	complemented
402	C₂×#117	C₂³	1	4	yes	complemented
403	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
404	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
405	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
406	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
407	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
408	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
409	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
410	C₂²×C₂²⋊C₄	—	2	32	no	—
411	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
412	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
413	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
414	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
415	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
416	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
417	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
418	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
419	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
420	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
421	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
422	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
423	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
424	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
425	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
426	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
427	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
428	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
430	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
431	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
432	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
433	C₂²×C₄²	C₂³	1	2	yes	—
434	C₂²×C₄²	C₂³	1	2	yes	—
435	C₂²×C₄²	C₂³	1	2	yes	complemented
436	C₂²×C₄²	C₂³	1	4	yes	complemented
437	C₂²×C₄²	C₂³	1	1	yes	characteristic, complemented
438	#400	C₂³	1	4	yes	complemented
439	#400	C₂³	1	4	yes	complemented
440	#400	C₂³	1	4	yes	complemented
441	#399	C₂³	1	4	yes	complemented
442	#399	C₂³	1	4	yes	complemented
443	#399	C₂³	1	4	yes	complemented
444	#399	C₂³	1	4	yes	complemented
445	#399	C₂³	1	4	yes	complemented
446	#398	C₂³	1	4	yes	complemented
447	#398	C₂³	1	4	yes	complemented
448	#398	C₂³	1	2	yes	complemented
449	#398	C₂³	1	4	yes	complemented
450	#397	C₂³	1	4	yes	—
451	#397	C₂³	1	4	yes	—
452	#397	C₂³	1	2	yes	—
453	#397	C₂³	1	4	yes	—
454	#397	C₂³	1	2	yes	—
455	#397	C₂³	1	4	yes	complemented
456	#397	C₂³	1	4	yes	complemented
457	#397	C₂³	1	2	yes	complemented
458	#397	C₂³	1	4	yes	complemented
459	#397	C₂³	1	4	yes	complemented
460	#397	C₂³	1	4	yes	complemented
461	#397	C₂³	1	4	yes	complemented
462	#397	C₂³	1	4	yes	complemented
463	#396	C₂³	1	4	yes	complemented
464	#396	C₂³	1	4	yes	complemented
465	#396	C₂³	1	4	yes	complemented
466	#396	C₂³	1	4	yes	complemented
467	#396	C₂³	1	4	yes	complemented
468	#396	C₂³	1	4	yes	complemented
469	#396	C₂³	1	4	yes	complemented
470	#395	C₂³	1	4	yes	complemented
471	#395	C₂³	1	4	yes	complemented
472	#394	C₂³	1	4	yes	—
473	#394	C₂³	1	2	yes	—
474	#394	C₂³	1	4	yes	—
475	#394	C₂³	1	4	yes	—
476	#394	C₂³	1	4	yes	complemented
477	#394	C₂³	1	4	yes	complemented
478	#394	C₂³	1	4	yes	complemented
479	#394	C₂³	1	4	yes	complemented
480	#394	C₂³	1	4	yes	complemented
481	#394	C₂³	1	4	yes	complemented
482	#394	C₂³	1	4	yes	complemented
483	#394	C₂³	1	4	yes	complemented
484	#394	C₂³	1	4	yes	complemented
485	#394	C₂³	1	4	yes	complemented
486	#393	C₂³	1	4	yes	complemented
487	#393	C₂³	1	4	yes	complemented
488	#393	C₂³	1	4	yes	complemented
489	#393	C₂³	1	4	yes	complemented
490	#392	C₂³	1	4	yes	—
491	#392	C₂³	1	2	yes	—
492	#392	C₂³	1	4	yes	—
493	#392	C₂³	1	4	yes	—
494	#392	C₂³	1	4	yes	—
495	#391	C₂³	1	4	yes	complemented
496	#391	C₂³	1	2	yes	complemented
497	#391	C₂³	1	1	yes	characteristic, complemented
498	#391	C₂³	1	2	yes	complemented
499	#390	C₂³	1	4	yes	—
500	#390	C₂³	1	2	yes	—
501	#390	C₂³	1	2	yes	—
502	#390	C₂³	1	2	yes	—
503	#390	C₂³	1	2	yes	—
504	#390	C₂³	1	2	yes	—
505	#390	C₂³	1	2	yes	—
506	#390	C₂³	1	2	yes	—
507	#390	C₂³	1	2	yes	—
508	#390	C₂³	1	2	yes	—
509	#390	C₂³	1	2	yes	—
510	#390	C₂³	1	2	yes	—
511	#390	C₂³	1	4	yes	—
512	#390	C₂³	1	4	yes	—
513	#390	C₂³	1	4	yes	—
514	#390	C₂³	1	1	yes	characteristic
515	#390	C₂³	1	2	yes	complemented
516	#390	C₂³	1	4	yes	complemented
517	#390	C₂³	1	4	yes	complemented
518	#390	C₂³	1	2	yes	complemented
519	#390	C₂³	1	4	yes	complemented
520	#390	C₂³	1	2	yes	complemented
521	#390	C₂³	1	2	yes	complemented
522	#390	C₂³	1	4	yes	complemented
523	#389	C₂³	1	2	yes	complemented
524	#389	C₂³	1	2	yes	complemented
525	#389	C₂³	1	2	yes	complemented
526	#389	C₂³	1	2	yes	complemented
527	#389	C₂³	1	2	yes	complemented
528	#389	C₂³	1	4	yes	complemented
529	#389	C₂³	1	2	yes	complemented
530	#389	C₂³	1	2	yes	complemented
531	#389	C₂³	1	4	yes	complemented
532	#389	C₂³	1	2	yes	complemented
533	#389	C₂³	1	2	yes	complemented
534	#388	C₂³	1	2	yes	—
535	#388	C₂³	1	2	yes	—
536	#388	C₂³	1	2	yes	—
537	#388	C₂³	1	2	yes	—
538	#388	C₂³	1	2	yes	—
539	#388	C₂³	1	4	yes	complemented
540	#388	C₂³	1	4	yes	complemented
541	#388	C₂³	1	4	yes	complemented
542	#388	C₂³	1	4	yes	complemented
543	#388	C₂³	1	4	yes	complemented
544	#388	C₂³	1	4	yes	complemented
545	#388	C₂³	1	4	yes	complemented
546	#388	C₂³	1	4	yes	complemented
547	#388	C₂³	1	4	yes	complemented
548	#388	C₂³	1	4	yes	complemented
549	#388	C₂³	1	4	yes	complemented
550	#388	C₂³	1	4	yes	complemented
551	#388	C₂³	1	4	yes	complemented
552	#388	C₂³	1	4	yes	complemented
553	#388	C₂³	1	4	yes	complemented
554	#388	C₂³	1	4	yes	complemented
555	#388	C₂³	1	4	yes	complemented
556	#388	C₂³	1	4	yes	complemented
557	#388	C₂³	1	4	yes	complemented
558	#388	C₂³	1	4	yes	complemented
559	#388	C₂³	1	2	yes	complemented
560	#388	C₂³	1	2	yes	complemented
561	#388	C₂³	1	4	yes	complemented
562	#388	C₂³	1	4	yes	complemented
563	#388	C₂³	1	4	yes	complemented
564	#388	C₂³	1	2	yes	complemented
565	#387	C₂³	1	2	yes	complemented
566	#387	C₂³	1	2	yes	complemented
567	#387	C₂³	1	2	yes	complemented
568	#387	C₂³	1	4	yes	complemented
569	#387	C₂³	1	4	yes	complemented
570	#387	C₂³	1	4	yes	complemented
571	#387	C₂³	1	4	yes	complemented
572	#387	C₂³	1	2	yes	complemented
573	#387	C₂³	1	2	yes	complemented
574	#387	C₂³	1	2	yes	complemented
575	#387	C₂³	1	4	yes	complemented
576	#387	C₂³	1	4	yes	complemented
577	#387	C₂³	1	4	yes	complemented
578	#387	C₂³	1	2	yes	complemented
579	#387	C₂³	1	2	yes	complemented
580	#386	C₂³	1	4	yes	—
581	#386	C₂³	1	4	yes	—
582	#386	C₂³	1	4	yes	—
583	#386	C₂³	1	2	yes	—
584	#386	C₂³	1	4	yes	—
585	#386	C₂³	1	4	yes	—
586	#386	C₂³	1	4	yes	—
587	#386	C₂³	1	4	yes	—
588	#386	C₂³	1	4	yes	—
589	#386	C₂³	1	4	yes	—
590	#386	C₂³	1	4	yes	—
591	#386	C₂³	1	4	yes	—
592	#386	C₂³	1	4	yes	—
593	#386	C₂³	1	4	yes	—
594	#386	C₂³	1	4	yes	—
595	#386	C₂³	1	4	yes	—
596	#386	C₂³	1	4	yes	—
597	#386	C₂³	1	4	yes	—
598	#386	C₂³	1	4	yes	—
599	#386	C₂³	1	4	yes	—
600	#386	C₂³	1	4	yes	—
601	#386	C₂³	1	4	yes	—
602	#386	C₂³	1	4	yes	—
603	#386	C₂³	1	4	yes	—
604	#386	C₂³	1	2	yes	—
605	#386	C₂³	1	2	yes	—
606	#386	C₂³	1	1	yes	characteristic
607	#386	C₂³	1	1	yes	characteristic
608	#386	C₂³	1	4	yes	complemented
609	#386	C₂³	1	4	yes	complemented
610	#386	C₂³	1	4	yes	complemented
611	#386	C₂³	1	4	yes	complemented
612	#386	C₂³	1	4	yes	complemented
613	#386	C₂³	1	4	yes	complemented
614	#386	C₂³	1	4	yes	complemented
615	#386	C₂³	1	4	yes	complemented
616	#386	C₂³	1	4	yes	complemented
617	#386	C₂³	1	2	yes	complemented
618	#386	C₂³	1	4	yes	complemented
619	#385	C₂³	1	4	yes	—
620	#385	C₂³	1	4	yes	—
621	#385	C₂³	1	2	yes	—
622	#385	C₂³	1	2	yes	—
623	#385	C₂³	1	2	yes	—
624	#385	C₂³	1	2	yes	—
625	#385	C₂³	1	4	yes	—
626	#385	C₂³	1	1	yes	characteristic
627	#385	C₂³	1	4	yes	complemented
628	#385	C₂³	1	4	yes	complemented
629	#385	C₂³	1	4	yes	complemented
630	#385	C₂³	1	4	yes	complemented
631	#385	C₂³	1	4	yes	complemented
632	#385	C₂³	1	4	yes	complemented
633	#385	C₂³	1	4	yes	complemented
634	#385	C₂³	1	4	yes	complemented
635	#385	C₂³	1	4	yes	complemented
636	#385	C₂³	1	4	yes	complemented
637	#385	C₂³	1	4	yes	complemented
638	#385	C₂³	1	4	yes	complemented
639	#385	C₂³	1	4	yes	complemented
640	#385	C₂³	1	4	yes	complemented
641	#385	C₂³	1	4	yes	complemented
642	#385	C₂³	1	1	yes	characteristic, complemented
643	#385	C₂³	1	4	yes	complemented
644	#384	C₂³	1	2	yes	complemented
645	#384	C₂³	1	2	yes	complemented
646	#384	C₂³	1	2	yes	complemented
647	#384	C₂³	1	2	yes	complemented
648	#383	C₂³	1	2	yes	complemented
649	#382	C₂³	1	1	yes	characteristic, complemented
650	#382	C₂³	1	4	yes	complemented
651	#381	C₂³	1	4	yes	—
652	#381	C₂³	1	4	yes	—
653	#381	C₂³	1	2	yes	—
654	#381	C₂³	1	4	yes	—
655	#381	C₂³	1	1	yes	characteristic, complemented
656	#381	C₂³	1	2	yes	complemented
657	#380	C₂³	1	4	yes	—
658	#380	C₂³	1	4	yes	—
659	#380	C₂³	1	2	yes	—
660	#380	C₂³	1	1	yes	characteristic
661	#380	C₂³	1	2	yes	—
662	#380	C₂³	1	2	yes	—
663	#380	C₂³	1	2	yes	—
664	#380	C₂³	1	2	yes	—
665	#380	C₂³	1	2	yes	—
666	#380	C₂³	1	4	yes	—
667	#380	C₂³	1	4	yes	—
668	#380	C₂³	1	4	yes	complemented
669	#380	C₂³	1	4	yes	complemented
670	#380	C₂³	1	1	yes	characteristic, complemented
671	#380	C₂³	1	4	yes	complemented
672	#380	C₂³	1	2	yes	complemented
673	#380	C₂³	1	4	yes	complemented
674	#380	C₂³	1	4	yes	complemented
675	#380	C₂³	1	4	yes	complemented
676	#380	C₂³	1	4	yes	complemented
677	#379	C₂³	1	4	yes	—
678	#379	C₂³	1	4	yes	—
679	#379	C₂³	1	1	yes	characteristic
680	#379	C₂³	1	4	yes	—
681	#379	C₂³	1	2	yes	—
682	#379	C₂³	1	2	yes	—
683	#379	C₂³	1	4	yes	—
684	#379	C₂³	1	4	yes	—
685	#379	C₂³	1	4	yes	—
686	#379	C₂³	1	4	yes	—
687	#379	C₂³	1	4	yes	—
688	#379	C₂³	1	4	yes	—
689	#379	C₂³	1	4	yes	—
690	#379	C₂³	1	2	yes	complemented
691	#379	C₂³	1	4	yes	complemented
692	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
693	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
694	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
695	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
696	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
697	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
698	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
699	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
700	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
701	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
702	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
703	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
704	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
705	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
706	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
707	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
708	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
709	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
710	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
711	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
712	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
713	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
714	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
715	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
716	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
717	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
718	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
719	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
720	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
721	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
722	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
723	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
724	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
725	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
726	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
727	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
728	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
729	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
730	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
731	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
732	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
733	#376	C₂³	1	2	yes	complemented
734	#376	C₂³	1	2	yes	complemented
735	C₂×#95	C₂³	1	2	yes	—
736	C₂×#95	C₂³	1	2	yes	—
737	C₂×#95	C₂³	1	4	yes	—
738	C₄³	C₂³	1	2	yes	complemented
739	C₄³	C₂³	1	1	yes	characteristic, complemented
740	C₂⁵	—	2	8	no	—
741	C₂⁵	—	2	16	no	—
742	C₂⁵	—	4	4	no	—
743	C₂⁵	—	4	8	no	—
744	C₂⁵	—	8	2	no	—
745	C₂⁵	C₂⁴	1	4	yes	—
746	C₂⁵	C₂⁴	1	2	yes	—
747	C₂⁵	C₂⁴	1	2	yes	—
748	C₂⁵	C₂⁴	1	1	yes	characteristic
749	C₂⁵	C₂⁴	1	4	yes	—
750	C₂⁵	C₂⁴	1	2	yes	—
751	C₂²×Q₈	—	2	8	no	—
752	C₂²×Q₈	—	4	4	no	—
753	C₂²×Q₈	—	8	2	no	—
754	C₂²×Q₈	C₂⁴	1	4	yes	—
755	C₂²×Q₈	C₂⁴	1	2	yes	—
756	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
757	C₂²×D₄	—	2	8	no	—
758	C₂²×D₄	—	2	8	no	—
759	C₂²×D₄	—	2	16	no	—
760	C₂²×D₄	—	2	16	no	—
761	C₂²×D₄	—	2	16	no	—
762	C₂²×D₄	—	2	8	no	—
763	C₂²×D₄	—	2	8	no	—
764	C₂²×D₄	—	2	16	no	—
765	C₂²×D₄	—	2	8	no	—
766	C₂²×D₄	—	2	16	no	—
767	C₂²×D₄	—	2	8	no	—
768	C₂²×D₄	—	2	4	no	—
769	C₂²×D₄	—	2	4	no	—
770	C₂²×D₄	—	2	8	no	—
771	C₂²×D₄	—	2	8	no	—
772	C₂²×D₄	—	4	4	no	—
773	C₂²×D₄	—	4	2	no	—
774	C₂²×D₄	—	4	4	no	—
775	C₂²×D₄	—	4	4	no	—
776	C₂²×D₄	—	4	8	no	—
777	C₂²×D₄	—	4	8	no	—
778	C₂²×D₄	—	4	64	no	—
779	C₂²×D₄	—	8	2	no	—
780	C₂²×D₄	#41	1	16	yes	—
781	C₂²×D₄	C₂⁴	1	4	yes	—
782	C₂²×D₄	C₂⁴	1	2	yes	—
783	C₂²×D₄	C₂⁴	1	1	yes	characteristic
784	C₂²×D₄	C₂⁴	1	2	yes	—
785	C₂²×D₄	C₂⁴	1	1	yes	characteristic
786	C₂²×D₄	C₂⁴	1	4	yes	—
787	C₂²×D₄	C₂⁴	1	4	yes	—
788	C₂²×D₄	C₂⁴	1	2	yes	—
789	C₂²×D₄	C₂⁴	1	4	yes	—
790	C₂²×D₄	C₂⁴	1	2	yes	—
791	C₂²×D₄	C₂⁴	1	4	yes	—
792	C₂²×D₄	C₂⁴	1	2	yes	—
793	C₂²×D₄	C₂⁴	1	4	yes	—
794	C₂²×D₄	C₂⁴	1	2	yes	—
795	C₂²×D₄	C₂⁴	1	2	yes	—
796	C₂²×D₄	C₂⁴	1	2	yes	—
797	C₂²×D₄	C₂⁴	1	2	yes	—
798	C₂²×D₄	C₂⁴	1	1	yes	characteristic
799	C₂²×D₄	C₂⁴	1	1	yes	characteristic
800	C₂³×C₄	—	2	16	no	—
801	C₂³×C₄	—	2	16	no	—
802	C₂³×C₄	—	2	8	no	—
803	C₂³×C₄	—	2	16	no	—
804	C₂³×C₄	—	2	8	no	—
805	C₂³×C₄	—	4	2	no	—
806	C₂³×C₄	—	4	8	no	—
807	C₂³×C₄	—	4	8	no	—
808	C₂³×C₄	—	4	4	no	—
809	C₂³×C₄	—	8	4	no	—
810	C₂³×C₄	—	8	2	no	—
811	C₂³×C₄	C₂⁴	1	4	yes	—
812	C₂³×C₄	C₂⁴	1	1	yes	characteristic
813	C₂³×C₄	C₂⁴	1	1	yes	characteristic
814	C₂³×C₄	C₂⁴	1	4	yes	—
815	C₂³×C₄	C₂⁴	1	4	yes	—
816	C₂³×C₄	C₂⁴	1	4	yes	—
817	C₂³×C₄	C₂⁴	1	4	yes	—
818	C₂³×C₄	C₂⁴	1	4	yes	—
819	C₂³×C₄	C₂⁴	1	2	yes	—
820	C₂³×C₄	C₂⁴	1	4	yes	—
821	C₂³×C₄	C₂⁴	1	4	yes	—
822	C₂³×C₄	C₂⁴	1	2	yes	—
823	C₂³×C₄	C₂⁴	1	1	yes	characteristic
824	C₂³×C₄	C₂⁴	1	2	yes	—
825	C₂³×C₄	C₂⁴	1	2	yes	—
826	C₂³×C₄	C₂⁴	1	2	yes	—
827	C₂³×C₄	C₂⁴	1	2	yes	—
828	C₂³×C₄	C₂⁴	1	4	yes	—
829	C₂³×C₄	C₂⁴	1	4	yes	—
830	C₂³×C₄	C₂⁴	1	4	yes	—
831	C₂³×C₄	C₂⁴	1	2	yes	—
832	C₂³×C₄	C₂⁴	1	4	yes	—
833	C₂³×C₄	C₂⁴	1	1	yes	characteristic
834	C₂³×C₄	C₂⁴	1	2	yes	—
835	C₂³×C₄	C₂⁴	1	1	yes	characteristic
836	C₄⋊Q₈	—	4	4	no	—
837	C₄⋊Q₈	—	4	2	no	—
838	#127	—	2	8	no	—
839	#127	—	4	2	no	—
840	#126	—	2	16	no	—
841	#126	—	2	16	no	—
842	#126	—	2	16	no	—
843	#126	—	2	16	no	—
844	#126	—	2	16	no	—
845	#126	—	2	16	no	—
846	#126	—	2	16	no	—
847	#126	C₂×D₄	1	16	yes	complemented
848	#124	—	2	8	no	—
849	#124	—	2	8	no	—
850	#124	—	2	16	no	—
851	#124	—	2	16	no	—
852	#124	—	2	8	no	—
853	#124	—	8	2	no	—
854	#124	C₂×D₄	1	8	yes	complemented
855	#123	—	2	16	no	—
856	#123	—	2	8	no	—
857	#123	—	2	16	no	—
858	#123	—	2	8	no	—
859	#123	—	2	16	no	—
860	#123	—	2	16	no	—
861	#123	—	2	16	no	—
862	#123	—	2	16	no	—
863	#123	—	2	16	no	—
864	#123	—	2	16	no	—
865	#123	—	2	16	no	—
866	#123	—	2	8	no	—
867	#123	—	4	8	no	—
868	#123	—	8	2	no	—
869	#123	C₂×D₄	1	8	yes	complemented
870	#123	C₂×D₄	1	16	yes	complemented
871	C₂²⋊Q₈	—	2	16	no	—
872	C₂²⋊Q₈	—	2	16	no	—
873	C₂²⋊Q₈	—	2	16	no	—
874	C₂²⋊Q₈	—	2	16	no	—
875	C₂²⋊Q₈	—	2	16	no	—
876	C₂²⋊Q₈	—	2	16	no	—
877	C₂²⋊Q₈	—	2	16	no	—
878	C₂²⋊Q₈	—	4	4	no	—
879	C₂²⋊Q₈	—	4	8	no	—
880	C₂²⋊Q₈	—	8	4	no	—
881	C₂²⋊Q₈	C₂×D₄	1	16	yes	complemented
882	#121	—	2	8	no	—
883	#121	—	2	16	no	—
884	#121	—	2	8	no	—
885	#121	—	4	2	no	—
886	#121	—	4	2	no	—
887	#121	—	4	4	no	—
888	#120	—	2	8	no	—
889	#120	—	2	16	no	—
890	#120	—	2	16	no	—
891	#120	—	2	8	no	—
892	#120	—	2	16	no	—
893	#120	—	2	8	no	—
894	#120	—	2	16	no	—
895	#120	—	4	8	no	—
896	#120	—	4	4	no	—
897	#120	—	4	4	no	—
898	#120	—	8	2	no	—
899	#120	C₂×D₄	1	8	yes	—
900	C₄×Q₈	—	4	2	no	—
901	C₄×D₄	—	2	16	no	—
902	C₄×D₄	—	2	16	no	—
903	C₄×D₄	—	2	16	no	—
904	C₄×D₄	—	2	8	no	—
905	C₄×D₄	—	2	8	no	—
906	C₄×D₄	—	2	8	no	—
907	C₄×D₄	—	2	8	no	—
908	C₄×D₄	—	2	8	no	—
909	C₄×D₄	—	2	8	no	—
910	C₄×D₄	—	2	8	no	—
911	C₄×D₄	—	2	4	no	—
912	C₄×D₄	—	2	16	no	—
913	C₄×D₄	—	2	16	no	—
914	C₄×D₄	—	2	8	no	—
915	C₄×D₄	—	2	16	no	—
916	C₄×D₄	—	2	16	no	—
917	C₄×D₄	—	2	16	no	—
918	C₄×D₄	—	2	16	no	—
919	C₄×D₄	—	4	4	no	—
920	C₄×D₄	—	4	4	no	—
921	C₄×D₄	—	4	4	no	—
922	C₄×D₄	—	4	2	no	—
923	C₄×D₄	—	4	8	no	—
924	C₄×D₄	—	4	8	no	—
925	C₄×D₄	—	4	8	no	—
926	C₄×D₄	—	4	4	no	—
927	C₄×D₄	—	8	4	no	—
928	C₄×D₄	C₂×D₄	1	16	yes	complemented
929	#117	—	2	16	no	—
930	#117	—	2	16	no	—
931	#117	—	2	16	no	—
932	#117	—	2	16	no	—
933	#117	—	2	16	no	—
934	#117	—	2	16	no	—
935	#117	—	2	16	no	—
936	#117	—	4	4	no	—
937	#117	C₂×D₄	1	16	yes	complemented
938	C₂×C₄⋊C₄	—	2	8	no	—
939	C₂×C₄⋊C₄	—	2	16	no	—
940	C₂×C₄⋊C₄	—	2	16	no	—
941	C₂×C₄⋊C₄	—	2	16	no	—
942	C₂×C₄⋊C₄	—	2	16	no	—
943	C₂×C₄⋊C₄	—	4	4	no	—
944	C₂×C₄⋊C₄	—	4	2	no	—
945	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
947	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
948	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
949	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
950	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
952	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
953	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
954	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
955	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
956	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
957	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
958	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
959	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
961	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
962	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
964	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
965	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
967	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
968	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
969	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
971	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
972	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
973	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
975	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
981	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
982	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
983	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
984	C₂×C₂²⋊C₄	—	2	16	no	—
985	C₂×C₂²⋊C₄	—	2	16	no	—
986	C₂×C₂²⋊C₄	—	2	16	no	—
987	C₂×C₂²⋊C₄	—	2	16	no	—
988	C₂×C₂²⋊C₄	—	2	16	no	—
989	C₂×C₂²⋊C₄	—	2	16	no	—
990	C₂×C₂²⋊C₄	—	2	16	no	—
991	C₂×C₂²⋊C₄	—	2	16	no	—
992	C₂×C₂²⋊C₄	—	2	16	no	—
993	C₂×C₂²⋊C₄	—	2	16	no	—
994	C₂×C₂²⋊C₄	—	2	16	no	—
995	C₂×C₂²⋊C₄	—	2	16	no	—
996	C₂×C₂²⋊C₄	—	2	16	no	—
997	C₂×C₂²⋊C₄	—	2	8	no	—
998	C₂×C₂²⋊C₄	—	2	16	no	—
999	C₂×C₂²⋊C₄	—	2	8	no	—
1000	C₂×C₂²⋊C₄	—	4	4	no	—
1001	C₂×C₂²⋊C₄	—	4	8	no	—
1002	C₂×C₂²⋊C₄	—	4	4	no	—
1003	C₂×C₂²⋊C₄	—	4	8	no	—
1004	C₂×C₂²⋊C₄	—	8	4	no	—
1005	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
1006	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1038	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1040	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1041	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1046	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1047	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1048	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1049	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1052	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1055	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1056	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1059	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1060	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1062	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1063	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1066	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1067	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1068	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1070	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1071	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1072	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1073	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1074	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1076	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1077	C₂×C₄²	—	2	8	no	—
1078	C₂×C₄²	—	2	8	no	—
1079	C₂×C₄²	—	2	16	no	—
1080	C₂×C₄²	—	4	4	no	—
1081	C₂×C₄²	—	4	2	no	—
1082	C₂×C₄²	C₂⁴	1	4	yes	—
1083	C₂×C₄²	C₂⁴	1	2	yes	—
1084	C₂×C₄²	C₂⁴	1	4	yes	—
1085	C₂×C₄²	C₂⁴	1	4	yes	—
1086	C₂×C₄²	C₂⁴	1	4	yes	—
1087	C₂×C₄²	C₂⁴	1	2	yes	—
1088	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1089	C₂×C₄²	C₂⁴	1	2	yes	—
1090	C₂×C₄²	C₂⁴	1	2	yes	—
1091	C₂×C₄²	C₂⁴	1	2	yes	—
1092	C₂×C₄²	C₂⁴	1	2	yes	—
1093	C₂×C₄²	C₂⁴	1	2	yes	—
1094	C₂×C₄²	C₂⁴	1	2	yes	—
1095	C₂×C₄²	C₂⁴	1	2	yes	—
1096	C₂×C₄²	C₂⁴	1	2	yes	—
1097	C₂×C₄²	C₂⁴	1	2	yes	—
1098	C₂×C₄²	C₂⁴	1	2	yes	—
1099	C₂×C₄²	C₂⁴	1	2	yes	—
1100	C₂×C₄²	C₂⁴	1	2	yes	—
1101	C₂×C₄²	C₂⁴	1	2	yes	—
1102	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1103	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1104	C₂×C₄²	C₂⁴	1	2	yes	—
1105	#95	C₂⁴	1	2	yes	—
1106	#95	C₂⁴	1	2	yes	—
1107	#95	C₂⁴	1	2	yes	—
1108	#95	C₂⁴	1	2	yes	—
1109	#95	C₂⁴	1	2	yes	—
1110	#95	C₂⁴	1	2	yes	—
1111	#95	C₂⁴	1	2	yes	—
1112	#95	C₂⁴	1	2	yes	—
1113	#95	C₂⁴	1	4	yes	—
1114	#95	C₂⁴	1	4	yes	—
1115	#95	C₂⁴	1	4	yes	—
1116	#95	C₂⁴	1	4	yes	—
1117	#95	C₂⁴	1	2	yes	—
1118	#95	C₂⁴	1	2	yes	—
1119	#95	C₂⁴	1	2	yes	—
1120	#95	C₂⁴	1	2	yes	—
1121	#95	C₂⁴	1	2	yes	—
1122	#95	C₂⁴	1	2	yes	—
1123	#95	C₂⁴	1	2	yes	—
1124	#95	C₂⁴	1	2	yes	—
1125	#95	C₂⁴	1	2	yes	—
1126	#95	C₂⁴	1	2	yes	—
1127	#95	C₂⁴	1	2	yes	—
1128	#95	C₂⁴	1	4	yes	—
1129	#95	C₂⁴	1	4	yes	—
1130	#95	C₂⁴	1	2	yes	—
1131	#95	C₂⁴	1	4	yes	—
1132	#95	C₂⁴	1	4	yes	—
1133	#95	C₂⁴	1	4	yes	—
1134	#95	C₂⁴	1	4	yes	—
1135	#95	C₂⁴	1	4	yes	—
1136	#95	C₂⁴	1	4	yes	—
1137	#95	C₂⁴	1	4	yes	—
1138	#95	C₂⁴	1	4	yes	—
1139	#95	C₂⁴	1	4	yes	—
1140	#95	C₂⁴	1	2	yes	—
1141	#95	C₂⁴	1	4	yes	—
1142	#95	C₂⁴	1	2	yes	—
1143	#95	C₂⁴	1	2	yes	—
1144	#95	C₂⁴	1	2	yes	—
1145	#95	C₂⁴	1	2	yes	—
1146	#95	C₂⁴	1	4	yes	—
1147	#95	C₂⁴	1	4	yes	—
1148	C₂⁴	—	2	8	no	—
1149	C₂⁴	—	2	4	no	—
1150	C₂⁴	—	2	8	no	—
1151	C₂⁴	—	2	8	no	—
1152	C₂⁴	—	2	4	no	—
1153	C₂⁴	—	2	8	no	—
1154	C₂⁴	—	2	4	no	—
1155	C₂⁴	—	2	4	no	—
1156	C₂⁴	—	2	8	no	—
1157	C₂⁴	—	2	4	no	—
1158	C₂⁴	—	2	8	no	—
1159	C₂⁴	—	2	8	no	—
1160	C₂⁴	—	2	8	no	—
1161	C₂⁴	—	2	8	no	—
1162	C₂⁴	—	2	8	no	—
1163	C₂⁴	—	2	4	no	—
1164	C₂⁴	—	2	4	no	—
1165	C₂⁴	—	2	8	no	—
1166	C₂⁴	—	4	1	no	—
1167	C₂⁴	—	4	4	no	—
1168	C₂⁴	—	4	4	no	—
1169	C₂⁴	—	4	1	no	—
1170	C₂⁴	—	4	4	no	—
1171	C₂⁴	—	4	2	no	—
1172	C₂⁴	—	4	4	no	—
1173	C₂⁴	—	4	2	no	—
1174	C₂⁴	—	4	4	no	—
1175	C₂⁴	—	4	2	no	—
1176	C₂⁴	—	4	4	no	—
1177	C₂⁴	—	4	4	no	—
1178	C₂⁴	—	4	4	no	—
1179	C₂⁴	—	4	2	no	—
1180	C₂⁴	—	4	32	no	—
1181	C₂⁴	—	4	64	no	—
1182	C₂⁴	—	8	16	no	—
1183	C₂⁴	—	8	32	no	—
1184	C₂⁴	—	8	16	no	—
1185	C₂⁴	C₂²×D₄	1	4	yes	—
1186	C₂⁴	C₂×#41	1	16	yes	—
1187	C₂⁴	C₂⁵	1	2	yes	—
1188	C₂⁴	C₂⁵	1	2	yes	—
1189	C₂⁴	C₂⁵	1	1	yes	characteristic
1190	C₂⁴	C₂⁵	1	1	yes	characteristic
1191	C₂⁴	C₂⁵	1	4	yes	—
1192	C₂⁴	C₂⁵	1	2	yes	—
1193	C₂⁴	C₂⁵	1	2	yes	—
1194	C₂×Q₈	—	2	8	no	—
1195	C₂×Q₈	—	2	4	no	—
1196	C₂×Q₈	—	4	1	no	—
1197	C₂×Q₈	—	4	1	no	—
1198	C₂×Q₈	—	4	4	no	—
1199	C₂×Q₈	—	4	2	no	—
1200	C₂×Q₈	—	4	4	no	—
1201	C₂×Q₈	—	4	2	no	—
1202	C₂×Q₈	—	8	16	no	—
1203	C₂×Q₈	C₂²×D₄	1	4	yes	complemented
1204	C₂×D₄	—	2	4	no	—
1205	C₂×D₄	—	2	8	no	—
1206	C₂×D₄	—	2	8	no	—
1207	C₂×D₄	—	2	4	no	—
1208	C₂×D₄	—	2	64	no	—
1209	C₂×D₄	—	2	8	no	—
1210	C₂×D₄	—	2	8	no	—
1211	C₂×D₄	—	2	8	no	—
1212	C₂×D₄	—	2	8	no	—
1213	C₂×D₄	—	2	8	no	—
1214	C₂×D₄	—	2	8	no	—
1215	C₂×D₄	—	2	8	no	—
1216	C₂×D₄	—	2	8	no	—
1217	C₂×D₄	—	2	8	no	—
1218	C₂×D₄	—	2	4	no	—
1219	C₂×D₄	—	2	4	no	—
1220	C₂×D₄	—	2	8	no	—
1221	C₂×D₄	—	2	4	no	—
1222	C₂×D₄	—	2	4	no	—
1223	C₂×D₄	—	2	8	no	—
1224	C₂×D₄	—	2	8	no	—
1225	C₂×D₄	—	2	4	no	—
1226	C₂×D₄	—	2	4	no	—
1227	C₂×D₄	—	2	4	no	—
1228	C₂×D₄	—	2	8	no	—
1229	C₂×D₄	—	2	4	no	—
1230	C₂×D₄	—	2	4	no	—
1231	C₂×D₄	—	2	2	no	—
1232	C₂×D₄	—	2	2	no	—
1233	C₂×D₄	—	4	32	no	—
1234	C₂×D₄	—	4	1	no	—
1235	C₂×D₄	—	4	4	no	—
1236	C₂×D₄	—	4	2	no	—
1237	C₂×D₄	—	4	4	no	—
1238	C₂×D₄	—	4	4	no	—
1239	C₂×D₄	—	4	1	no	—
1240	C₂×D₄	—	4	4	no	—
1241	C₂×D₄	—	4	2	no	—
1242	C₂×D₄	—	4	2	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	2	no	—
1245	C₂×D₄	—	4	2	no	—
1246	C₂×D₄	—	4	2	no	—
1247	C₂×D₄	—	4	2	no	—
1248	C₂×D₄	—	4	2	no	—
1249	C₂×D₄	—	4	4	no	—
1250	C₂×D₄	—	4	32	no	—
1251	C₂×D₄	—	4	16	no	—
1252	C₂×D₄	—	4	64	no	—
1253	C₂×D₄	—	4	64	no	—
1254	C₂×D₄	—	4	16	no	—
1255	C₂×D₄	—	4	16	no	—
1256	C₂×D₄	—	8	16	no	—
1257	C₂×D₄	C₂²×D₄	1	8	yes	—
1258	C₂×D₄	C₂²×D₄	1	4	yes	—
1259	C₂×D₄	C₂×#41	1	16	yes	—
1260	C₂×D₄	C₂×#41	1	8	yes	—
1261	C₂×D₄	C₂×#41	1	8	yes	—
1262	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1263	C₂²×C₄	—	2	4	no	—
1264	C₂²×C₄	—	2	4	no	—
1265	C₂²×C₄	—	2	4	no	—
1266	C₂²×C₄	—	2	4	no	—
1267	C₂²×C₄	—	2	8	no	—
1268	C₂²×C₄	—	2	8	no	—
1269	C₂²×C₄	—	2	8	no	—
1270	C₂²×C₄	—	2	8	no	—
1271	C₂²×C₄	—	2	8	no	—
1272	C₂²×C₄	—	2	8	no	—
1273	C₂²×C₄	—	2	8	no	—
1274	C₂²×C₄	—	2	4	no	—
1275	C₂²×C₄	—	2	8	no	—
1276	C₂²×C₄	—	2	8	no	—
1277	C₂²×C₄	—	2	4	no	—
1278	C₂²×C₄	—	2	8	no	—
1279	C₂²×C₄	—	2	8	no	—
1280	C₂²×C₄	—	2	4	no	—
1281	C₂²×C₄	—	2	4	no	—
1282	C₂²×C₄	—	2	4	no	—
1283	C₂²×C₄	—	2	8	no	—
1284	C₂²×C₄	—	2	8	no	—
1285	C₂²×C₄	—	2	8	no	—
1286	C₂²×C₄	—	2	4	no	—
1287	C₂²×C₄	—	2	8	no	—
1288	C₂²×C₄	—	2	8	no	—
1289	C₂²×C₄	—	2	8	no	—
1290	C₂²×C₄	—	2	8	no	—
1291	C₂²×C₄	—	2	4	no	—
1292	C₂²×C₄	—	2	4	no	—
1293	C₂²×C₄	—	2	4	no	—
1294	C₂²×C₄	—	2	4	no	—
1295	C₂²×C₄	—	2	2	no	—
1296	C₂²×C₄	—	2	2	no	—
1297	C₂²×C₄	—	2	8	no	—
1298	C₂²×C₄	—	2	8	no	—
1299	C₂²×C₄	—	2	8	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	2	no	—
1302	C₂²×C₄	—	4	4	no	—
1303	C₂²×C₄	—	4	4	no	—
1304	C₂²×C₄	—	4	4	no	—
1305	C₂²×C₄	—	4	4	no	—
1306	C₂²×C₄	—	4	1	no	—
1307	C₂²×C₄	—	4	2	no	—
1308	C₂²×C₄	—	4	1	no	—
1309	C₂²×C₄	—	4	2	no	—
1310	C₂²×C₄	—	4	4	no	—
1311	C₂²×C₄	—	4	4	no	—
1312	C₂²×C₄	—	4	4	no	—
1313	C₂²×C₄	—	4	2	no	—
1314	C₂²×C₄	—	4	16	no	—
1315	C₂²×C₄	—	4	1	no	—
1316	C₂²×C₄	—	4	2	no	—
1317	C₂²×C₄	—	4	2	no	—
1318	C₂²×C₄	—	4	4	no	—
1319	C₂²×C₄	—	4	2	no	—
1320	C₂²×C₄	—	4	2	no	—
1321	C₂²×C₄	—	4	2	no	—
1322	C₂²×C₄	—	4	4	no	—
1323	C₂²×C₄	—	4	4	no	—
1324	C₂²×C₄	—	4	4	no	—
1325	C₂²×C₄	—	4	4	no	—
1326	C₂²×C₄	—	4	2	no	—
1327	C₂²×C₄	—	4	4	no	—
1328	C₂²×C₄	—	4	4	no	—
1329	C₂²×C₄	—	4	4	no	—
1330	C₂²×C₄	—	4	2	no	—
1331	C₂²×C₄	—	4	64	no	—
1332	C₂²×C₄	—	8	32	no	—
1333	C₂²×C₄	—	8	16	no	—
1334	C₂²×C₄	C₂²×D₄	1	8	yes	—
1335	C₂²×C₄	C₂²×D₄	1	8	yes	—
1336	C₂²×C₄	C₂²×D₄	1	4	yes	complemented
1337	C₂²×C₄	C₂×#41	1	8	yes	—
1338	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁵	1	2	yes	—
1340	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1341	C₂²×C₄	C₂⁵	1	2	yes	—
1342	C₂²×C₄	C₂⁵	1	2	yes	—
1343	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁵	1	2	yes	—
1345	C₂²×C₄	C₂⁵	1	4	yes	—
1346	C₂²×C₄	C₂⁵	1	2	yes	—
1347	C₂²×C₄	C₂⁵	1	4	yes	—
1348	C₂²×C₄	C₂⁵	1	4	yes	—
1349	C₂²×C₄	C₂⁵	1	4	yes	—
1350	C₂²×C₄	C₂⁵	1	2	yes	—
1351	C₂²×C₄	C₂⁵	1	4	yes	—
1352	C₂²×C₄	C₂⁵	1	2	yes	—
1353	C₂²×C₄	C₂⁵	1	2	yes	—
1354	C₂²×C₄	C₂⁵	1	2	yes	—
1355	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁵	1	2	yes	—
1357	C₂²×C₄	C₂⁵	1	2	yes	—
1358	C₂²×C₄	C₂⁵	1	2	yes	—
1359	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1360	C₄⋊C₄	—	2	8	no	—
1361	C₄⋊C₄	—	2	8	no	—
1362	C₄⋊C₄	—	2	8	no	—
1363	C₄⋊C₄	—	2	8	no	—
1364	C₄⋊C₄	—	2	8	no	—
1365	C₄⋊C₄	—	2	8	no	—
1366	C₄⋊C₄	—	2	8	no	—
1367	C₄⋊C₄	—	2	8	no	—
1368	C₄⋊C₄	—	2	8	no	—
1369	C₄⋊C₄	—	2	8	no	—
1370	C₄⋊C₄	—	2	8	no	—
1371	C₄⋊C₄	—	2	8	no	—
1372	C₄⋊C₄	—	2	8	no	—
1373	C₄⋊C₄	—	2	4	no	—
1374	C₄⋊C₄	—	2	4	no	—
1375	C₄⋊C₄	—	2	4	no	—
1376	C₄⋊C₄	—	2	4	no	—
1377	C₄⋊C₄	—	2	4	no	—
1378	C₄⋊C₄	—	2	4	no	—
1379	C₄⋊C₄	—	2	2	no	—
1380	C₄⋊C₄	—	4	4	no	—
1381	C₄⋊C₄	—	4	2	no	—
1382	C₄⋊C₄	—	4	2	no	—
1383	C₄⋊C₄	—	4	2	no	—
1384	C₄⋊C₄	—	4	2	no	—
1385	C₄⋊C₄	—	4	1	no	—
1386	C₄⋊C₄	—	4	4	no	—
1387	C₄⋊C₄	—	4	2	no	—
1388	C₄⋊C₄	—	4	1	no	—
1389	C₄⋊C₄	—	4	4	no	—
1390	C₄⋊C₄	—	4	2	no	—
1391	C₄⋊C₄	—	4	2	no	—
1392	C₄⋊C₄	—	4	4	no	—
1393	C₄⋊C₄	—	4	4	no	—
1394	C₄⋊C₄	—	4	4	no	—
1395	C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
1396	C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
1397	C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
1398	C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
1399	C₂²⋊C₄	—	2	8	no	—
1400	C₂²⋊C₄	—	2	8	no	—
1401	C₂²⋊C₄	—	2	8	no	—
1402	C₂²⋊C₄	—	2	8	no	—
1403	C₂²⋊C₄	—	2	8	no	—
1404	C₂²⋊C₄	—	2	8	no	—
1405	C₂²⋊C₄	—	2	4	no	—
1406	C₂²⋊C₄	—	2	4	no	—
1407	C₂²⋊C₄	—	2	8	no	—
1408	C₂²⋊C₄	—	2	8	no	—
1409	C₂²⋊C₄	—	2	8	no	—
1410	C₂²⋊C₄	—	2	8	no	—
1411	C₂²⋊C₄	—	2	4	no	—
1412	C₂²⋊C₄	—	2	8	no	—
1413	C₂²⋊C₄	—	2	8	no	—
1414	C₂²⋊C₄	—	2	8	no	—
1415	C₂²⋊C₄	—	2	8	no	—
1416	C₂²⋊C₄	—	2	4	no	—
1417	C₂²⋊C₄	—	2	4	no	—
1418	C₂²⋊C₄	—	2	4	no	—
1419	C₂²⋊C₄	—	2	4	no	—
1420	C₂²⋊C₄	—	2	8	no	—
1421	C₂²⋊C₄	—	2	8	no	—
1422	C₂²⋊C₄	—	2	8	no	—
1423	C₂²⋊C₄	—	2	8	no	—
1424	C₂²⋊C₄	—	2	8	no	—
1425	C₂²⋊C₄	—	2	8	no	—
1426	C₂²⋊C₄	—	2	8	no	—
1427	C₂²⋊C₄	—	2	8	no	—
1428	C₂²⋊C₄	—	2	8	no	—
1429	C₂²⋊C₄	—	2	8	no	—
1430	C₂²⋊C₄	—	2	8	no	—
1431	C₂²⋊C₄	—	2	8	no	—
1432	C₂²⋊C₄	—	2	8	no	—
1433	C₂²⋊C₄	—	2	8	no	—
1434	C₂²⋊C₄	—	2	4	no	—
1435	C₂²⋊C₄	—	2	8	no	—
1436	C₂²⋊C₄	—	4	2	no	—
1437	C₂²⋊C₄	—	4	2	no	—
1438	C₂²⋊C₄	—	4	4	no	—
1439	C₂²⋊C₄	—	4	4	no	—
1440	C₂²⋊C₄	—	4	4	no	—
1441	C₂²⋊C₄	—	4	4	no	—
1442	C₂²⋊C₄	—	4	4	no	—
1443	C₂²⋊C₄	—	4	4	no	—
1444	C₂²⋊C₄	—	4	4	no	—
1445	C₂²⋊C₄	—	4	4	no	—
1446	C₂²⋊C₄	—	4	4	no	—
1447	C₂²⋊C₄	—	4	4	no	—
1448	C₂²⋊C₄	—	4	4	no	—
1449	C₂²⋊C₄	—	4	2	no	—
1450	C₂²⋊C₄	—	4	1	no	—
1451	C₂²⋊C₄	—	4	1	no	—
1452	C₂²⋊C₄	—	4	4	no	—
1453	C₂²⋊C₄	—	4	4	no	—
1454	C₂²⋊C₄	—	4	4	no	—
1455	C₂²⋊C₄	—	4	2	no	—
1456	C₂²⋊C₄	—	4	2	no	—
1457	C₂²⋊C₄	—	4	1	no	—
1458	C₂²⋊C₄	—	4	4	no	—
1459	C₂²⋊C₄	—	4	4	no	—
1460	C₂²⋊C₄	—	4	4	no	—
1461	C₂²⋊C₄	—	4	1	no	—
1462	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1463	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1464	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1465	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1466	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1467	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1468	C₂²⋊C₄	C₂²×D₄	1	8	yes	complemented
1469	C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
1470	C₄²	—	2	4	no	—
1471	C₄²	—	2	8	no	—
1472	C₄²	—	2	8	no	—
1473	C₄²	—	2	8	no	—
1474	C₄²	—	2	8	no	—
1475	C₄²	—	2	4	no	—
1476	C₄²	—	2	4	no	—
1477	C₄²	—	2	4	no	—
1478	C₄²	—	2	4	no	—
1479	C₄²	—	2	4	no	—
1480	C₄²	—	2	4	no	—
1481	C₄²	—	2	4	no	—
1482	C₄²	—	2	2	no	—
1483	C₄²	—	4	2	no	—
1484	C₄²	—	4	2	no	—
1485	C₄²	—	4	2	no	—
1486	C₄²	—	4	2	no	—
1487	C₄²	—	4	2	no	—
1488	C₄²	—	4	2	no	—
1489	C₄²	—	4	2	no	—
1490	C₄²	—	4	1	no	—
1491	C₄²	C₂²×D₄	1	4	yes	complemented
1492	C₄²	C₂²×D₄	1	8	yes	complemented
1493	C₂³	—	2	2	no	—
1494	C₂³	—	2	2	no	—
1495	C₂³	—	2	2	no	—
1496	C₂³	—	2	4	no	—
1497	C₂³	—	2	2	no	—
1498	C₂³	—	2	2	no	—
1499	C₂³	—	2	2	no	—
1500	C₂³	—	2	4	no	—
1501	C₂³	—	2	2	no	—
1502	C₂³	—	2	2	no	—
1503	C₂³	—	2	4	no	—
1504	C₂³	—	2	4	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	4	no	—
1508	C₂³	—	2	2	no	—
1509	C₂³	—	2	2	no	—
1510	C₂³	—	2	4	no	—
1511	C₂³	—	2	4	no	—
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	32	no	—
1515	C₂³	—	2	16	no	—
1516	C₂³	—	2	32	no	—
1517	C₂³	—	2	2	no	—
1518	C₂³	—	2	2	no	—
1519	C₂³	—	2	4	no	—
1520	C₂³	—	2	4	no	—
1521	C₂³	—	2	2	no	—
1522	C₂³	—	2	2	no	—
1523	C₂³	—	2	4	no	—
1524	C₂³	—	2	4	no	—
1525	C₂³	—	2	2	no	—
1526	C₂³	—	2	2	no	—
1527	C₂³	—	4	4	no	—
1528	C₂³	—	4	16	no	—
1529	C₂³	—	4	4	no	—
1530	C₂³	—	4	16	no	—
1531	C₂³	—	4	16	no	—
1532	C₂³	—	4	16	no	—
1533	C₂³	—	4	16	no	—
1534	C₂³	—	4	8	no	—
1535	C₂³	—	4	4	no	—
1536	C₂³	—	4	8	no	—
1537	C₂³	—	4	16	no	—
1538	C₂³	—	4	8	no	—
1539	C₂³	—	4	16	no	—
1540	C₂³	—	4	8	no	—
1541	C₂³	—	4	16	no	—
1542	C₂³	—	4	16	no	—
1543	C₂³	—	4	16	no	—
1544	C₂³	—	4	16	no	—
1545	C₂³	—	4	16	no	—
1546	C₂³	—	4	8	no	—
1547	C₂³	—	4	8	no	—
1548	C₂³	—	8	8	no	—
1549	C₂³	—	8	4	no	—
1550	C₂³	—	8	8	no	—
1551	C₂³	—	8	8	no	—
1552	C₂³	—	8	8	no	—
1553	C₂³	—	8	8	no	—
1554	C₂³	—	8	4	no	—
1555	C₂³	—	8	4	no	—
1556	C₂³	—	8	8	no	—
1557	C₂³	—	8	128	no	—
1558	C₂³	—	8	4	no	—
1559	C₂³	C₂³×D₄	1	2	yes	—
1560	C₂³	C₂³×D₄	1	2	yes	—
1561	C₂³	C₂³×D₄	1	4	yes	—
1562	C₂³	C₂²×#41	1	8	yes	—
1563	C₂³	C₂²×#41	1	4	yes	—
1564	C₂³	C₂²×#41	1	8	yes	—
1565	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1566	C₂³	#585	1	4	yes	—
1567	C₂³	C₂⁶	1	1	yes	characteristic
1568	Q₈	—	4	4	no	—
1569	Q₈	—	8	8	no	—
1570	Q₈	—	8	4	no	—
1571	D₄	—	2	16	no	—
1572	D₄	—	2	32	no	—
1573	D₄	—	2	16	no	—
1574	D₄	—	4	4	no	—
1575	D₄	—	4	16	no	—
1576	D₄	—	4	16	no	—
1577	D₄	—	4	16	no	—
1578	D₄	—	4	8	no	—
1579	D₄	—	4	16	no	—
1580	D₄	—	4	8	no	—
1581	D₄	—	4	8	no	—
1582	D₄	—	4	4	no	—
1583	D₄	—	4	4	no	—
1584	D₄	—	8	4	no	—
1585	D₄	—	8	8	no	—
1586	D₄	—	8	4	no	—
1587	D₄	—	8	4	no	—
1588	D₄	—	16	2	no	—
1589	D₄	#551	1	16	yes	direct product factor
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	2	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	2	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	2	no	—
1600	C₂×C₄	—	2	2	no	—
1601	C₂×C₄	—	2	2	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	2	no	—
1604	C₂×C₄	—	2	16	no	—
1605	C₂×C₄	—	2	16	no	—
1606	C₂×C₄	—	2	4	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	4	no	—
1609	C₂×C₄	—	2	2	no	—
1610	C₂×C₄	—	2	4	no	—
1611	C₂×C₄	—	2	4	no	—
1612	C₂×C₄	—	2	2	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	2	no	—
1615	C₂×C₄	—	2	4	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	4	no	—
1618	C₂×C₄	—	2	4	no	—
1619	C₂×C₄	—	2	2	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	4	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	4	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	2	no	—
1630	C₂×C₄	—	2	2	no	—
1631	C₂×C₄	—	2	2	no	—
1632	C₂×C₄	—	2	2	no	—
1633	C₂×C₄	—	2	2	no	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	2	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	4	no	—
1638	C₂×C₄	—	2	4	no	—
1639	C₂×C₄	—	2	2	no	—
1640	C₂×C₄	—	2	2	no	—
1641	C₂×C₄	—	2	2	no	—
1642	C₂×C₄	—	2	4	no	—
1643	C₂×C₄	—	2	4	no	—
1644	C₂×C₄	—	2	2	no	—
1645	C₂×C₄	—	4	8	no	—
1646	C₂×C₄	—	4	4	no	—
1647	C₂×C₄	—	4	4	no	—
1648	C₂×C₄	—	4	16	no	—
1649	C₂×C₄	—	4	16	no	—
1650	C₂×C₄	—	4	16	no	—
1651	C₂×C₄	—	4	16	no	—
1652	C₂×C₄	—	4	8	no	—
1653	C₂×C₄	—	4	16	no	—
1654	C₂×C₄	—	4	16	no	—
1655	C₂×C₄	—	4	16	no	—
1656	C₂×C₄	—	4	8	no	—
1657	C₂×C₄	—	4	16	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	4	4	no	—
1660	C₂×C₄	—	8	8	no	—
1661	C₂×C₄	—	8	8	no	—
1662	C₂×C₄	—	8	8	no	—
1663	C₂×C₄	—	8	4	no	—
1664	C₂×C₄	—	8	4	no	—
1665	C₂×C₄	—	8	4	no	—
1666	C₂×C₄	—	8	8	no	—
1667	C₂×C₄	—	8	2	no	—
1668	C₂×C₄	C₂³×D₄	1	4	yes	—
1669	C₂×C₄	C₂³×D₄	1	4	yes	—
1670	C₂×C₄	C₂³×D₄	1	4	yes	—
1671	C₂×C₄	C₂³×D₄	1	2	yes	—
1672	C₂×C₄	C₂³×D₄	1	4	yes	—
1673	C₂×C₄	C₂³×D₄	1	4	yes	—
1674	C₂×C₄	C₂²×#41	1	4	yes	—
1675	C₂×C₄	C₂²×#41	1	4	yes	—
1676	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1677	C₂²	—	2	4	no	—
1678	C₂²	—	2	4	no	—
1679	C₂²	—	2	4	no	—
1680	C₂²	—	2	4	no	—
1681	C₂²	—	2	8	no	—
1682	C₂²	—	2	4	no	—
1683	C₂²	—	2	4	no	—
1684	C₂²	—	2	8	no	—
1685	C₂²	—	2	4	no	—
1686	C₂²	—	2	4	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	8	no	—
1690	C₂²	—	2	8	no	—
1691	C₂²	—	2	4	no	—
1692	C₂²	—	2	4	no	—
1693	C₂²	—	2	8	no	—
1694	C₂²	—	4	64	no	—
1695	C₂²	—	4	16	no	—
1696	C₂²	—	4	4	no	—
1697	C₂²	—	4	4	no	—
1698	C₂²	—	4	2	no	—
1699	C₂²	—	4	2	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	4	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	4	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	2	no	—
1707	C₂²	—	4	2	no	—
1708	C₂²	—	4	4	no	—
1709	C₂²	—	4	4	no	—
1710	C₂²	—	4	2	no	—
1711	C₂²	—	4	2	no	—
1712	C₂²	—	4	4	no	—
1713	C₂²	—	4	4	no	—
1714	C₂²	—	4	2	no	—
1715	C₂²	—	4	2	no	—
1716	C₂²	—	8	16	no	—
1717	C₂²	—	8	32	no	—
1718	C₂²	—	8	16	no	—
1719	C₂²	—	8	16	no	—
1720	C₂²	D₄×#41	1	8	yes	—
1721	C₂²	C₂×#551	1	8	yes	complemented
1722	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1723	C₂²	C₂³×#41	1	2	yes	—
1724	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1725	C₂²	C₂×#585	1	2	yes	—
1726	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1727	C₄	—	2	4	no	—
1728	C₄	—	2	4	no	—
1729	C₄	—	2	2	no	—
1730	C₄	—	2	4	no	—
1731	C₄	—	2	4	no	—
1732	C₄	—	2	4	no	—
1733	C₄	—	2	4	no	—
1734	C₄	—	4	4	no	—
1735	C₄	—	4	4	no	—
1736	C₄	—	4	2	no	—
1737	C₄	—	4	2	no	—
1738	C₄	—	4	2	no	—
1739	C₄	—	4	2	no	—
1740	C₄	—	4	2	no	—
1741	C₄	—	4	2	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	4	no	—
1744	C₄	—	4	4	no	—
1745	C₄	—	4	4	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	no	—
1748	C₄	C₂×#551	1	4	yes	complemented
1749	C₂	—	2	8	no	—
1750	C₂	—	2	8	no	—
1751	C₂	—	4	8	no	—
1752	C₂	—	4	2	no	—
1753	C₂	—	4	2	no	—
1754	C₂	—	8	2	no	—
1755	C₂	—	8	2	no	—
1756	C₂	C₂×D₄×#41	1	2	yes	—
1757	C₂	C₂²×#551	1	1	yes	characteristic
1758	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1759	C₂	#62990	1	2	yes	—
1760	C₂	#63017	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	D₄×#120	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#551	C₂	semidirect
2. #59843	C₂	semidirect
3. #59820	C₂	semidirect
4. #59476	C₂	semidirect
5. #59375	C₂	semidirect
6. #59273	C₂	semidirect
7. #59198	C₂	semidirect
8. #59191	C₂	semidirect
9. #59168	C₂	semidirect
10. #59162	C₂	semidirect
11. #59133	C₂	semidirect
12. #59011	C₂	semidirect
13. #59006	C₂	semidirect
14. #36264	C₂	semidirect
15. #36262	C₂	semidirect
16. #36222	C₂	semidirect
17. #36220	C₂	semidirect
18. #36183	C₂	semidirect
19. #36158	C₂	semidirect
20. D₄×#126	C₂	semidirect
21. D₄×#124	C₂	semidirect
22. D₄×#123	C₂	semidirect
23. D₄×#123	C₂	semidirect
24. D₄×C₂²⋊Q₈	C₂	semidirect
26. C₄×#551	C₂	semidirect
27. C₄×D₄²	C₂	semidirect
28. D₄×#117	C₂	semidirect
29. C₂×D₄×C₂²⋊C₄	C₂	semidirect
34. C₂×#551	C₂²	semidirect
35. C₂×#551	C₂²	semidirect
36. C₂×#551	C₂²	semidirect
37. C₂×#551	C₂²	semidirect
38. C₂×#551	C₂²	semidirect
39. C₂×#551	C₂²	semidirect
40. C₂×#551	C₂²	semidirect
41. C₂×#551	C₂²	semidirect
42. C₂×D₄×Q₈	C₂²	semidirect
45. C₂²×#126	C₂²	semidirect
46. C₂²×#124	C₂²	semidirect
47. C₂²×#123	C₂²	semidirect
48. C₂²×#123	C₂²	semidirect
49. C₂²×C₂²⋊Q₈	C₂²	semidirect
53. C₂²×C₄×D₄	C₂²	semidirect
54. C₂²×C₄×D₄	C₂²	semidirect
55. C₂²×#117	C₂²	semidirect
56. C₂³×C₂²⋊C₄	C₂²	semidirect
57. #2860	C₂²	semidirect
58. #2858	C₂²	semidirect
59. #2857	C₂²	semidirect
60. #2854	C₂²	semidirect
61. #2854	C₂²	semidirect
62. #2852	C₂²	semidirect
63. #2850	C₂²	semidirect
64. #2849	C₂²	semidirect
65. #2849	C₂²	semidirect
66. #2848	C₂²	semidirect
69. #2730	C₂²	semidirect
70. #2728	C₂²	semidirect
71. #2723	C₂²	semidirect
72. #2722	C₂²	semidirect
73. #2717	C₂²	semidirect
74. #2706	C₂²	semidirect
75. #2705	C₂²	semidirect
76. #2697	C₂²	semidirect
77. #2696	C₂²	semidirect
78. #2693	C₂²	semidirect
79. #2685	C₂²	semidirect
80. #2684	C₂²	semidirect
81. #2610	C₂²	semidirect
82. #2609	C₂²	semidirect
83. #2603	C₂²	semidirect
84. #2602	C₂²	semidirect
85. #2601	C₂²	semidirect
86. #2600	C₂²	semidirect
87. #2598	C₂²	semidirect
88. #2564	C₂²	semidirect
89. #2561	C₂²	semidirect
90. #2560	C₂²	semidirect
91. #2557	C₂²	semidirect
92. #2554	C₂²	semidirect
93. #2553	C₂²	semidirect
94. #2548	C₂²	semidirect
95. #2547	C₂²	semidirect
96. #2542	C₂²	semidirect
97. #2538	C₂²	semidirect
98. #2534	C₂²	semidirect
99. #2534	C₂²	semidirect
100. #2521	C₂²	semidirect
101. #2512	C₂²	semidirect
102. #2512	C₂²	semidirect
103. #2512	C₂²	semidirect
104. #2501	C₂²	semidirect
105. #2501	C₂²	semidirect
106. #2498	C₂²	semidirect
107. #2496	C₂²	semidirect
108. #2496	C₂²	semidirect
109. #2496	C₂²	semidirect
110. #2491	C₂²	semidirect
111. #2491	C₂²	semidirect
112. #2488	C₂²	semidirect
113. #2486	C₂²	semidirect
114. #2486	C₂²	semidirect
115. #2483	C₂²	semidirect
116. #2482	C₂²	semidirect
117. #2481	C₂²	semidirect
118. #2481	C₂²	semidirect
119. #2481	C₂²	semidirect
120. #2480	C₂²	semidirect
121. #2480	C₂²	semidirect
122. #2480	C₂²	semidirect
123. #2480	C₂²	semidirect
124. #2480	C₂²	semidirect
125. #2479	C₂²	semidirect
126. #2477	C₂²	semidirect
127. #2472	C₂²	semidirect
128. #2472	C₂²	semidirect
129. #2472	C₂²	semidirect
130. #2472	C₂²	semidirect
131. #2471	C₂²	semidirect
132. #2471	C₂²	semidirect
133. #2467	C₂²	semidirect
134. #2463	C₂²	semidirect
135. #2461	C₂²	semidirect
136. #2461	C₂²	semidirect
137. #2457	C₂²	semidirect
138. #2452	C₂²	semidirect
139. #2452	C₂²	semidirect
140. #2449	C₂²	semidirect
141. #2449	C₂²	semidirect
142. #2445	C₂²	semidirect
143. #2445	C₂²	semidirect
144. #2445	C₂²	semidirect
145. #2443	C₂²	semidirect
146. #2443	C₂²	semidirect
147. #2443	C₂²	semidirect
148. #2440	C₂²	semidirect
149. #2440	C₂²	semidirect
150. #2438	C₂²	semidirect
151. #2437	C₂²	semidirect
152. #2437	C₂²	semidirect
153. #2437	C₂²	semidirect
154. #2436	C₂²	semidirect
155. #2435	C₂²	semidirect
158. #2422	C₂²	semidirect
159. #2422	C₂²	semidirect
160. #2422	C₂²	semidirect
161. #2419	C₂²	semidirect
162. #2418	C₂²	semidirect
163. #2418	C₂²	semidirect
164. #2418	C₂²	semidirect
165. #2418	C₂²	semidirect
166. #2418	C₂²	semidirect
167. #2417	C₂²	semidirect
168. #2412	C₂²	semidirect
169. #2412	C₂²	semidirect
170. #2412	C₂²	semidirect
171. #2412	C₂²	semidirect
172. #2411	C₂²	semidirect
173. #2411	C₂²	semidirect
176. #2409	C₂²	semidirect
179. #2405	C₂²	semidirect
180. #2405	C₂²	semidirect
183. #2374	C₂²	semidirect
184. #2373	C₂²	semidirect
185. #2372	C₂²	semidirect
186. #2368	C₂²	semidirect
187. #2366	C₂²	semidirect
188. #2361	C₂²	semidirect
189. #2361	C₂²	semidirect
190. #2361	C₂²	semidirect
191. #2359	C₂²	semidirect
192. #2359	C₂²	semidirect
194. #2358	C₂²	semidirect
195. #2358	C₂²	semidirect
196. #2358	C₂²	semidirect
197. #2354	C₂²	semidirect
198. #2354	C₂²	semidirect
199. #2353	C₂²	semidirect
200. #2352	C₂²	semidirect
201. #2352	C₂²	semidirect
202. D₄×C₄⋊C₄	C₂²	semidirect
203. D₄×C₄⋊C₄	C₂²	semidirect
204. D₄×C₄⋊C₄	C₂²	semidirect
205. D₄×C₄⋊C₄	C₂²	semidirect
206. D₄×C₄⋊C₄	C₂²	semidirect
207. #2344	C₂²	semidirect
208. #2344	C₂²	semidirect
209. #2343	C₂²	semidirect
210. #2342	C₂²	semidirect
211. #2342	C₂²	semidirect
212. #2342	C₂²	semidirect
213. #2342	C₂²	semidirect
220. D₄×C₂²⋊C₄	C₂²	semidirect
221. D₄×C₂²⋊C₄	C₂²	semidirect
222. D₄×C₂²⋊C₄	C₂²	semidirect
223. D₄×C₂²⋊C₄	C₂²	semidirect
224. D₄×C₂²⋊C₄	C₂²	semidirect
225. D₄×C₂²⋊C₄	C₂²	semidirect
226. D₄×C₂²⋊C₄	C₂²	semidirect
227. D₄×C₂²⋊C₄	C₂²	semidirect
228. D₄×C₂²⋊C₄	C₂²	semidirect
229. D₄×C₂²⋊C₄	C₂²	semidirect
230. D₄×C₂²⋊C₄	C₂²	semidirect
231. C₄×#127	C₂²	semidirect
232. C₄×#126	C₂²	semidirect
233. C₄×#124	C₂²	semidirect
234. C₄×C₂²⋊Q₈	C₂²	semidirect
235. C₄×#123	C₂²	semidirect
236. C₄×#123	C₂²	semidirect
237. C₄×#121	C₂²	semidirect
238. C₄×#121	C₂²	semidirect
239. C₄×#121	C₂²	semidirect
241. C₄×#120	C₂²	semidirect
242. C₄×#120	C₂²	semidirect
243. #2293	C₂²	semidirect
244. #2293	C₂²	semidirect
245. C₂×#390	C₂²	semidirect
246. C₂×#390	C₂²	semidirect
247. #2290	C₂²	semidirect
248. #2290	C₂²	semidirect
249. C₂×#386	C₂²	semidirect
250. C₂×#386	C₂²	semidirect
251. #2285	C₂²	semidirect
252. #2280	C₂²	semidirect
253. C₂×#380	C₂²	semidirect
254. C₂×#379	C₂²	semidirect
255. C₄²×D₄	C₂²	semidirect
256. C₄²×D₄	C₂²	semidirect
257. C₄²×D₄	C₂²	semidirect
258. C₄×#117	C₂²	semidirect
259. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
261. C₂³×Q₈	C₂³	semidirect
276. C₂⁴×C₄	C₂³	semidirect
286. #551	D₄	direct (N × H)
290. C₂×C₄⋊Q₈	C₂³	semidirect
291. C₂×C₄⋊Q₈	C₂³	semidirect
299. C₂×#126	C₂³	semidirect
300. C₂×#126	C₂³	semidirect
301. C₂×#126	C₂³	semidirect
302. C₂×#126	C₂³	semidirect
307. C₂×#124	C₂³	semidirect
308. C₂×#124	C₂³	semidirect
309. C₂×#124	C₂³	semidirect
310. C₂×#124	C₂³	semidirect
321. C₂×#123	C₂³	semidirect
322. C₂×#123	C₂³	semidirect
323. C₂×#123	C₂³	semidirect
324. C₂×#123	C₂³	semidirect
325. C₂×#123	C₂³	semidirect
326. C₂×#123	C₂³	semidirect
327. C₂×#123	C₂³	semidirect
328. C₂×#123	C₂³	semidirect
334. C₂×C₂²⋊Q₈	C₂³	semidirect
335. C₂×C₂²⋊Q₈	C₂³	semidirect
336. C₂×C₂²⋊Q₈	C₂³	semidirect
337. C₂×C₂²⋊Q₈	C₂³	semidirect
338. C₂×C₂²⋊Q₈	C₂³	semidirect
339. C₂×C₂²⋊Q₈	C₂³	semidirect
340. C₂×C₂²⋊Q₈	C₂³	semidirect
360. C₂×C₄×Q₈	C₂³	semidirect
386. C₂×C₄×D₄	C₂³	semidirect
387. C₂×C₄×D₄	C₂³	semidirect
388. C₂×C₄×D₄	C₂³	semidirect
389. C₂×C₄×D₄	C₂³	semidirect
390. C₂×C₄×D₄	C₂³	semidirect
391. C₂×C₄×D₄	C₂³	semidirect
392. C₂×C₄×D₄	C₂³	semidirect
399. C₂×#117	C₂³	semidirect
400. C₂×#117	C₂³	semidirect
401. C₂×#117	C₂³	semidirect
402. C₂×#117	C₂³	semidirect
405. C₂²×C₄⋊C₄	C₂³	semidirect
406. C₂²×C₄⋊C₄	C₂³	semidirect
407. C₂²×C₄⋊C₄	C₂³	semidirect
408. C₂²×C₄⋊C₄	C₂³	semidirect
409. C₂²×C₄⋊C₄	C₂³	semidirect
430. C₂²×C₂²⋊C₄	C₂³	semidirect
431. C₂²×C₂²⋊C₄	C₂³	semidirect
432. C₂²×C₂²⋊C₄	C₂³	semidirect
435. C₂²×C₄²	C₂³	semidirect
436. C₂²×C₄²	C₂³	semidirect
437. C₂²×C₄²	C₂³	semidirect
438. #400	C₂³	semidirect
439. #400	C₂³	semidirect
440. #400	C₂³	semidirect
441. #399	C₂³	semidirect
442. #399	C₂³	semidirect
443. #399	C₂³	semidirect
444. #399	C₂³	semidirect
445. #399	C₂³	semidirect
446. #398	C₂³	semidirect
447. #398	C₂³	semidirect
448. #398	C₂³	semidirect
449. #398	C₂³	semidirect
455. #397	C₂³	semidirect
456. #397	C₂³	semidirect
457. #397	C₂³	semidirect
458. #397	C₂³	semidirect
459. #397	C₂³	semidirect
460. #397	C₂³	semidirect
461. #397	C₂³	semidirect
462. #397	C₂³	semidirect
463. #396	C₂³	semidirect
464. #396	C₂³	semidirect
465. #396	C₂³	semidirect
466. #396	C₂³	semidirect
467. #396	C₂³	semidirect
468. #396	C₂³	semidirect
469. #396	C₂³	semidirect
470. #395	C₂³	semidirect
471. #395	C₂³	semidirect
476. #394	C₂³	semidirect
477. #394	C₂³	semidirect
478. #394	C₂³	semidirect
479. #394	C₂³	semidirect
480. #394	C₂³	semidirect
481. #394	C₂³	semidirect
482. #394	C₂³	semidirect
483. #394	C₂³	semidirect
484. #394	C₂³	semidirect
485. #394	C₂³	semidirect
486. #393	C₂³	semidirect
487. #393	C₂³	semidirect
488. #393	C₂³	semidirect
489. #393	C₂³	semidirect
495. #391	C₂³	semidirect
496. #391	C₂³	semidirect
497. #391	C₂³	semidirect
498. #391	C₂³	semidirect
515. #390	C₂³	semidirect
516. #390	C₂³	semidirect
517. #390	C₂³	semidirect
518. #390	C₂³	semidirect
519. #390	C₂³	semidirect
520. #390	C₂³	semidirect
521. #390	C₂³	semidirect
522. #390	C₂³	semidirect
523. #389	C₂³	semidirect
524. #389	C₂³	semidirect
525. #389	C₂³	semidirect
526. #389	C₂³	semidirect
527. #389	C₂³	semidirect
528. #389	C₂³	semidirect
529. #389	C₂³	semidirect
530. #389	C₂³	semidirect
531. #389	C₂³	semidirect
532. #389	C₂³	semidirect
533. #389	C₂³	semidirect
539. #388	C₂³	semidirect
540. #388	C₂³	semidirect
541. #388	C₂³	semidirect
542. #388	C₂³	semidirect
543. #388	C₂³	semidirect
544. #388	C₂³	semidirect
545. #388	C₂³	semidirect
546. #388	C₂³	semidirect
547. #388	C₂³	semidirect
548. #388	C₂³	semidirect
549. #388	C₂³	semidirect
550. #388	C₂³	semidirect
551. #388	C₂³	semidirect
552. #388	C₂³	semidirect
553. #388	C₂³	semidirect
554. #388	C₂³	semidirect
555. #388	C₂³	semidirect
556. #388	C₂³	semidirect
557. #388	C₂³	semidirect
558. #388	C₂³	semidirect
559. #388	C₂³	semidirect
560. #388	C₂³	semidirect
561. #388	C₂³	semidirect
562. #388	C₂³	semidirect
563. #388	C₂³	semidirect
564. #388	C₂³	semidirect
565. #387	C₂³	semidirect
566. #387	C₂³	semidirect
567. #387	C₂³	semidirect
568. #387	C₂³	semidirect
569. #387	C₂³	semidirect
570. #387	C₂³	semidirect
571. #387	C₂³	semidirect
572. #387	C₂³	semidirect
573. #387	C₂³	semidirect
574. #387	C₂³	semidirect
575. #387	C₂³	semidirect
576. #387	C₂³	semidirect
577. #387	C₂³	semidirect
578. #387	C₂³	semidirect
579. #387	C₂³	semidirect
608. #386	C₂³	semidirect
609. #386	C₂³	semidirect
610. #386	C₂³	semidirect
611. #386	C₂³	semidirect
612. #386	C₂³	semidirect
613. #386	C₂³	semidirect
614. #386	C₂³	semidirect
615. #386	C₂³	semidirect
616. #386	C₂³	semidirect
617. #386	C₂³	semidirect
618. #386	C₂³	semidirect
627. #385	C₂³	semidirect
628. #385	C₂³	semidirect
629. #385	C₂³	semidirect
630. #385	C₂³	semidirect
631. #385	C₂³	semidirect
632. #385	C₂³	semidirect
633. #385	C₂³	semidirect
634. #385	C₂³	semidirect
635. #385	C₂³	semidirect
636. #385	C₂³	semidirect
637. #385	C₂³	semidirect
638. #385	C₂³	semidirect
639. #385	C₂³	semidirect
640. #385	C₂³	semidirect
641. #385	C₂³	semidirect
642. #385	C₂³	semidirect
643. #385	C₂³	semidirect
644. #384	C₂³	semidirect
645. #384	C₂³	semidirect
646. #384	C₂³	semidirect
647. #384	C₂³	semidirect
648. #383	C₂³	semidirect
649. #382	C₂³	semidirect
650. #382	C₂³	semidirect
655. #381	C₂³	semidirect
656. #381	C₂³	semidirect
668. #380	C₂³	semidirect
669. #380	C₂³	semidirect
670. #380	C₂³	semidirect
671. #380	C₂³	semidirect
672. #380	C₂³	semidirect
673. #380	C₂³	semidirect
674. #380	C₂³	semidirect
675. #380	C₂³	semidirect
676. #380	C₂³	semidirect
690. #379	C₂³	semidirect
691. #379	C₂³	semidirect
692. C₄×C₄⋊C₄	C₂³	semidirect
693. C₄×C₄⋊C₄	C₂³	semidirect
694. C₄×C₄⋊C₄	C₂³	semidirect
695. C₄×C₄⋊C₄	C₂³	semidirect
696. C₄×C₄⋊C₄	C₂³	semidirect
697. C₄×C₄⋊C₄	C₂³	semidirect
698. C₄×C₄⋊C₄	C₂³	semidirect
699. C₄×C₄⋊C₄	C₂³	semidirect
700. C₄×C₄⋊C₄	C₂³	semidirect
701. C₄×C₄⋊C₄	C₂³	semidirect
702. C₄×C₄⋊C₄	C₂³	semidirect
703. C₄×C₄⋊C₄	C₂³	semidirect
704. C₄×C₄⋊C₄	C₂³	semidirect
705. C₄×C₄⋊C₄	C₂³	semidirect
720. C₄×C₂²⋊C₄	C₂³	semidirect
721. C₄×C₂²⋊C₄	C₂³	semidirect
722. C₄×C₂²⋊C₄	C₂³	semidirect
723. C₄×C₂²⋊C₄	C₂³	semidirect
724. C₄×C₂²⋊C₄	C₂³	semidirect
725. C₄×C₂²⋊C₄	C₂³	semidirect
726. C₄×C₂²⋊C₄	C₂³	semidirect
727. C₄×C₂²⋊C₄	C₂³	semidirect
728. C₄×C₂²⋊C₄	C₂³	semidirect
729. C₄×C₂²⋊C₄	C₂³	semidirect
730. C₄×C₂²⋊C₄	C₂³	semidirect
731. C₄×C₂²⋊C₄	C₂³	semidirect
732. C₄×C₂²⋊C₄	C₂³	semidirect
733. #376	C₂³	semidirect
734. #376	C₂³	semidirect
738. C₄³	C₂³	semidirect
739. C₄³	C₂³	semidirect
847. #126	C₂×D₄	semidirect
854. #124	C₂×D₄	semidirect
869. #123	C₂×D₄	semidirect
870. #123	C₂×D₄	semidirect
881. C₂²⋊Q₈	C₂×D₄	semidirect
928. C₄×D₄	C₂×D₄	semidirect
937. #117	C₂×D₄	semidirect
1005. C₂×C₂²⋊C₄	C₂×D₄	semidirect
1203. C₂×Q₈	C₂²×D₄	semidirect
1336. C₂²×C₄	C₂²×D₄	semidirect
1395. C₄⋊C₄	C₂²×D₄	semidirect
1396. C₄⋊C₄	C₂²×D₄	semidirect
1397. C₄⋊C₄	C₂²×D₄	semidirect
1398. C₄⋊C₄	C₂²×D₄	semidirect
1468. C₂²⋊C₄	C₂²×D₄	semidirect
1469. C₂²⋊C₄	C₂²×D₄	semidirect
1491. C₄²	C₂²×D₄	semidirect
1492. C₄²	C₂²×D₄	semidirect
1589. D₄	#551	direct (N × H)
1721. C₂²	C₂×#551	semidirect
1748. C₄	C₂×#551	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#551	2
#59843	2
#59820	2
#59476	2
#59375	2
#59273	2
#59198	2
#59191	2
#59168	2
#59162	2
#59133	2
#59011	2
#59006	2
#36264	2
#36262	2
#36222	2
#36220	2
#36183	2
#36158	2
D₄×#126	2
D₄×#124	2
D₄×#123	2
D₄×C₂²⋊Q₈	2
D₄×#120	2
C₄×#551	2
C₄×D₄²	2
D₄×#117	2
C₂×D₄×C₂²⋊C₄	2

Subgroups — D4×#551 #7699478

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×#551 #7699478