Subgroups — #7717590

Order 512.

7132 conjugacy classes of subgroups.

The subgroup lattice has 1767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3564	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#551	C₂	1	1	yes	maximal, characteristic, complemented
3	#51412	C₂	1	4	yes	maximal, complemented
4	#51410	C₂	1	4	yes	maximal, complemented
5	#50890	C₂	1	4	yes	maximal, complemented
6	#50888	C₂	1	4	yes	maximal, complemented
7	#44784	C₂	1	4	yes	maximal, complemented
8	#44367	C₂	1	4	yes	maximal, complemented
9	#44351	C₂	1	4	yes	maximal, complemented
10	#44162	C₂	1	4	yes	maximal, complemented
11	#39588	C₂	1	2	yes	maximal, complemented
12	#38917	C₂	1	2	yes	maximal, complemented
13	#38913	C₂	1	2	yes	maximal, complemented
14	#38912	C₂	1	2	yes	maximal, complemented
15	#37843	C₂	1	2	yes	maximal, complemented
16	#37833	C₂	1	2	yes	maximal, complemented
17	#36966	C₂	1	1	yes	maximal, characteristic, complemented
18	#36957	C₂	1	1	yes	maximal, characteristic, complemented
19	#36722	C₂	1	1	yes	maximal, characteristic, complemented
20	#36711	C₂	1	1	yes	maximal, characteristic, complemented
21	#36528	C₂	1	2	yes	maximal, complemented
22	#36158	C₂	1	2	yes	maximal, complemented
23	#35325	C₂	1	1	yes	maximal, characteristic, complemented
24	#35302	C₂	1	1	yes	maximal, characteristic, complemented
25	#35172	C₂	1	1	yes	maximal, characteristic, complemented
26	#35151	C₂	1	1	yes	maximal, characteristic, complemented
27	#35094	C₂	1	1	yes	maximal, characteristic, complemented
28	#34988	C₂	1	1	yes	maximal, characteristic, complemented
29	#34982	C₂	1	1	yes	maximal, characteristic, complemented
30	#34593	C₂	1	1	yes	maximal, characteristic, complemented
31	#34381	C₂	1	1	yes	maximal, characteristic, complemented
32	#3564	—	2	16	no	—
33	C₂×#563	C₂²	1	2	yes	complemented
34	C₂×#563	C₂²	1	2	yes	complemented
35	C₂×#556	C₂²	1	2	yes	complemented
36	C₂×#554	C₂²	1	2	yes	complemented
37	C₂×#552	C₂²	1	2	yes	complemented
38	C₂×#552	C₂²	1	2	yes	complemented
39	C₂×#551	—	2	16	no	—
40	C₂×#551	C₂²	1	2	yes	—
41	C₂×#551	C₂²	1	2	yes	—
42	C₂×#551	C₂²	1	4	yes	—
43	C₂×#551	C₂²	1	4	yes	—
44	C₂×#551	C₂²	1	4	yes	—
45	C₂×#551	C₂²	1	4	yes	—
46	C₂×#544	C₂²	1	1	yes	characteristic, complemented
47	C₂×#543	C₂²	1	1	yes	characteristic
48	C₂×#542	C₂²	1	2	yes	complemented
49	C₂×#541	C₂²	1	2	yes	complemented
50	C₂×#541	C₂²	1	2	yes	complemented
51	C₂×#539	C₂²	1	1	yes	characteristic, complemented
52	C₂×#539	C₂²	1	2	yes	complemented
53	C₂×#538	C₂²	1	1	yes	characteristic
54	C₂×#533	C₂²	1	1	yes	characteristic, complemented
55	C₂×#529	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#126	C₂²	1	1	yes	characteristic
57	C₂²×#126	C₂²	1	1	yes	characteristic
58	C₂²×#124	C₂²	1	1	yes	characteristic
59	C₂²×#123	C₂²	1	1	yes	characteristic
60	C₂²×#123	C₂²	1	1	yes	characteristic
61	C₂²×#123	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	C₂²×#120	C₂²	1	1	yes	characteristic
65	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
66	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
67	C₂²×#117	C₂²	1	1	yes	characteristic
68	C₂²×#117	C₂²	1	1	yes	characteristic
69	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#2855	C₂²	1	2	yes	complemented
72	#2855	C₂²	1	1	yes	characteristic, complemented
73	#2855	C₂²	1	1	yes	characteristic, complemented
74	#2855	C₂²	1	1	yes	characteristic, complemented
75	#2854	C₂²	1	1	yes	characteristic, complemented
76	#2849	C₂²	1	2	yes	—
77	#2848	C₂²	1	2	yes	—
78	#2848	C₂²	1	2	yes	—
79	#2848	C₂²	1	1	yes	characteristic
80	#2848	C₂²	1	1	yes	characteristic
81	#2848	C₂²	1	1	yes	characteristic
82	#2848	C₂²	1	2	yes	complemented
83	#2847	C₂²	1	1	yes	characteristic
84	#2846	C₂²	1	2	yes	—
85	#2723	C₂²	1	4	yes	complemented
86	#2723	C₂²	1	4	yes	complemented
87	#2722	C₂²	1	4	yes	complemented
88	#2720	C₂²	1	4	yes	complemented
89	#2720	C₂²	1	4	yes	complemented
90	#2718	C₂²	1	4	yes	complemented
91	#2715	C₂²	1	4	yes	complemented
92	#2715	C₂²	1	4	yes	complemented
93	#2712	C₂²	1	4	yes	complemented
94	#2707	C₂²	1	4	yes	complemented
95	#2707	C₂²	1	4	yes	complemented
96	#2706	C₂²	1	4	yes	complemented
97	#2705	C₂²	1	4	yes	complemented
98	#2705	C₂²	1	4	yes	complemented
99	#2704	C₂²	1	4	yes	complemented
100	#2700	C₂²	1	4	yes	complemented
101	#2700	C₂²	1	4	yes	complemented
102	#2698	C₂²	1	4	yes	complemented
103	#2696	C₂²	1	4	yes	complemented
104	#2695	C₂²	1	4	yes	complemented
105	#2694	C₂²	1	4	yes	complemented
106	#2694	C₂²	1	4	yes	complemented
107	#2694	C₂²	1	4	yes	complemented
108	#2692	C₂²	1	4	yes	complemented
109	#2685	C₂²	1	4	yes	—
110	#2685	C₂²	1	4	yes	—
111	#2683	C₂²	1	4	yes	complemented
112	#2682	C₂²	1	4	yes	complemented
113	#2681	C₂²	1	4	yes	complemented
114	#2680	C₂²	1	4	yes	complemented
115	#2678	C₂²	1	4	yes	—
116	#2677	C₂²	1	4	yes	complemented
117	#2676	C₂²	1	4	yes	complemented
118	#2674	C₂²	1	4	yes	complemented
119	#2674	C₂²	1	4	yes	complemented
120	#2674	C₂²	1	4	yes	complemented
121	#2674	C₂²	1	4	yes	complemented
122	#2672	C₂²	1	4	yes	complemented
123	#2672	C₂²	1	4	yes	complemented
124	#2670	C₂²	1	4	yes	—
125	#2636	C₂²	1	4	yes	complemented
126	#2633	C₂²	1	2	yes	complemented
127	#2631	C₂²	1	2	yes	complemented
128	#2629	C₂²	1	2	yes	complemented
129	#2628	C₂²	1	2	yes	complemented
130	#2626	C₂²	1	1	yes	characteristic
131	#2626	C₂²	1	1	yes	characteristic
132	#2626	C₂²	1	1	yes	characteristic
133	#2626	C₂²	1	2	yes	—
134	#2626	C₂²	1	2	yes	—
135	#2626	C₂²	1	1	yes	characteristic, complemented
136	#2626	C₂²	1	1	yes	characteristic, complemented
137	#2626	C₂²	1	1	yes	characteristic, complemented
138	#2623	C₂²	1	2	yes	complemented
139	#2623	C₂²	1	2	yes	complemented
140	#2622	C₂²	1	2	yes	—
141	#2621	C₂²	1	2	yes	complemented
142	#2620	C₂²	1	2	yes	complemented
143	#2617	C₂²	1	1	yes	characteristic
144	#2617	C₂²	1	1	yes	characteristic, complemented
145	#2613	C₂²	1	2	yes	—
146	#2611	C₂²	1	4	yes	complemented
147	#2609	C₂²	1	4	yes	complemented
148	#2601	C₂²	1	4	yes	complemented
149	#2599	C₂²	1	4	yes	complemented
150	#2583	C₂²	1	2	yes	complemented
151	#2583	C₂²	1	2	yes	complemented
152	#2580	C₂²	1	2	yes	complemented
153	#2580	C₂²	1	2	yes	complemented
154	#2579	C₂²	1	2	yes	complemented
155	#2579	C₂²	1	2	yes	complemented
156	#2566	C₂²	1	4	yes	complemented
157	#2563	C₂²	1	2	yes	complemented
158	#2561	C₂²	1	2	yes	—
159	#2561	C₂²	1	2	yes	complemented
160	#2558	C₂²	1	4	yes	complemented
161	#2556	C₂²	1	4	yes	complemented
162	#2554	C₂²	1	4	yes	complemented
163	#2553	C₂²	1	4	yes	complemented
164	#2553	C₂²	1	4	yes	complemented
165	#2542	C₂²	1	4	yes	complemented
166	#2542	C₂²	1	2	yes	complemented
167	#2539	C₂²	1	4	yes	—
168	#2538	C₂²	1	4	yes	complemented
169	#2534	C₂²	1	2	yes	—
170	#2534	C₂²	1	2	yes	complemented
171	#2496	C₂²	1	4	yes	complemented
172	#2489	C₂²	1	4	yes	complemented
173	#2484	C₂²	1	2	yes	complemented
174	#2483	C₂²	1	2	yes	—
175	#2482	C₂²	1	2	yes	—
176	#2482	C₂²	1	2	yes	—
177	#2482	C₂²	1	2	yes	complemented
178	#2480	C₂²	1	4	yes	complemented
179	#2480	C₂²	1	4	yes	complemented
180	#2480	C₂²	1	4	yes	complemented
181	#2479	C₂²	1	4	yes	complemented
182	#2478	C₂²	1	4	yes	complemented
183	#2477	C₂²	1	4	yes	complemented
184	#2475	C₂²	1	4	yes	complemented
185	#2472	C₂²	1	4	yes	—
186	#2472	C₂²	1	4	yes	complemented
187	#2472	C₂²	1	4	yes	complemented
188	#2471	C₂²	1	4	yes	complemented
189	#2471	C₂²	1	4	yes	complemented
190	#2470	C₂²	1	4	yes	complemented
191	#2466	C₂²	1	4	yes	complemented
192	#2465	C₂²	1	4	yes	complemented
193	#2463	C₂²	1	4	yes	complemented
194	#2463	C₂²	1	4	yes	complemented
195	#2460	C₂²	1	4	yes	complemented
196	#2460	C₂²	1	4	yes	complemented
197	#2458	C₂²	1	4	yes	complemented
198	#2455	C₂²	1	4	yes	complemented
199	#2452	C₂²	1	4	yes	complemented
200	#2452	C₂²	1	4	yes	complemented
201	#2449	C₂²	1	4	yes	complemented
202	#2441	C₂²	1	4	yes	complemented
203	#2441	C₂²	1	4	yes	complemented
204	#2439	C₂²	1	4	yes	complemented
205	#2439	C₂²	1	4	yes	complemented
206	#2437	C₂²	1	4	yes	complemented
207	#2437	C₂²	1	4	yes	complemented
208	#2437	C₂²	1	4	yes	complemented
209	#2437	C₂²	1	4	yes	complemented
210	#2437	C₂²	1	4	yes	complemented
211	#2435	C₂²	1	2	yes	—
212	#2434	C₂²	1	2	yes	complemented
213	#2429	C₂²	1	4	yes	complemented
214	#2427	C₂²	1	4	yes	complemented
215	#2424	C₂²	1	4	yes	—
216	#2424	C₂²	1	4	yes	complemented
217	#2422	C₂²	1	4	yes	complemented
218	#2418	C₂²	1	4	yes	complemented
219	#2418	C₂²	1	4	yes	complemented
220	#2415	C₂²	1	4	yes	complemented
221	#2413	C₂²	1	2	yes	complemented
222	#2412	C₂²	1	2	yes	—
223	#2412	C₂²	1	4	yes	complemented
224	#2411	C₂²	1	2	yes	—
225	#2411	C₂²	1	2	yes	—
226	#2411	C₂²	1	4	yes	—
227	#2411	C₂²	1	2	yes	complemented
228	#2410	C₂²	1	2	yes	—
229	#2409	C₂²	1	2	yes	complemented
230	#2408	C₂²	1	2	yes	—
231	#2405	C₂²	1	2	yes	—
232	#2398	C₂²	1	2	yes	complemented
233	#2397	C₂²	1	2	yes	complemented
234	#2392	C₂²	1	4	yes	complemented
235	#2383	C₂²	1	4	yes	complemented
236	#2373	C₂²	1	4	yes	complemented
237	#2367	C₂²	1	4	yes	complemented
238	#2361	C₂²	1	4	yes	complemented
239	#2358	C₂²	1	4	yes	complemented
240	#2345	C₂²	1	2	yes	complemented
241	#2344	C₂²	1	2	yes	complemented
242	#2342	C₂²	1	2	yes	—
243	#2342	C₂²	1	2	yes	—
244	#2342	C₂²	1	4	yes	complemented
245	#2334	C₂²	1	4	yes	complemented
246	#2334	C₂²	1	4	yes	complemented
247	#2324	C₂²	1	2	yes	complemented
248	#2323	C₂²	1	2	yes	complemented
249	#2323	C₂²	1	2	yes	complemented
250	#2323	C₂²	1	2	yes	complemented
251	#2321	C₂²	1	2	yes	—
252	#2321	C₂²	1	2	yes	—
253	#2317	C₂²	1	2	yes	complemented
254	#2317	C₂²	1	2	yes	complemented
255	#2316	C₂²	1	1	yes	characteristic, complemented
256	#2315	C₂²	1	2	yes	—
257	#2315	C₂²	1	1	yes	characteristic
258	#2313	C₂²	1	1	yes	characteristic, complemented
259	#2312	C₂²	1	1	yes	characteristic
260	#2309	C₂²	1	2	yes	—
261	C₄×#123	C₂²	1	2	yes	complemented
262	C₄×#120	C₂²	1	2	yes	—
263	C₄×#120	C₂²	1	2	yes	—
264	C₄×#120	C₂²	1	2	yes	complemented
265	#2285	C₂²	1	1	yes	characteristic, complemented
266	#2283	C₂²	1	1	yes	characteristic, complemented
267	#2280	C₂²	1	2	yes	—
268	C₂×#379	C₂²	1	2	yes	—
269	C₂⁶	C₂³	1	1	yes	characteristic
270	C₂³×Q₈	C₂³	1	1	yes	characteristic
271	C₂³×D₄	C₂³	1	1	yes	characteristic
272	C₂³×D₄	C₂³	1	1	yes	characteristic
273	C₂³×D₄	C₂³	1	1	yes	characteristic
274	C₂⁴×C₄	C₂³	1	1	yes	characteristic
275	C₂⁴×C₄	C₂³	1	1	yes	characteristic
276	C₂⁴×C₄	C₂³	1	1	yes	characteristic
277	C₂⁴×C₄	C₂³	1	1	yes	characteristic
278	C₂⁴×C₄	C₂³	1	1	yes	characteristic
279	#563	—	2	16	no	—
280	#563	—	2	16	no	—
281	#556	—	2	16	no	—
282	#554	—	2	16	no	—
283	#552	—	2	16	no	—
284	#552	—	2	16	no	—
285	#551	—	2	32	no	—
286	#551	—	2	32	no	—
287	#551	—	2	32	no	—
288	#551	—	2	32	no	—
289	#551	—	2	16	no	—
290	#551	—	2	16	no	—
291	#544	—	2	8	no	—
292	#543	—	2	8	no	—
293	#542	—	2	16	no	—
294	#541	—	2	16	no	—
295	#541	—	2	16	no	—
296	#539	—	2	16	no	—
297	#539	—	2	8	no	—
298	#538	—	2	8	no	—
299	#533	—	2	8	no	—
300	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
301	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
302	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
303	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
304	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
305	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
306	#529	—	2	8	no	—
307	C₂×#126	—	2	8	no	—
308	C₂×#126	D₄	1	16	yes	complemented
309	C₂×#126	C₂³	1	4	yes	—
310	C₂×#126	C₂³	1	4	yes	—
311	C₂×#126	C₂³	1	2	yes	—
312	C₂×#126	C₂³	1	2	yes	—
313	C₂×#126	C₂³	1	2	yes	—
314	C₂×#126	C₂³	1	2	yes	—
315	C₂×#126	C₂³	1	2	yes	—
316	C₂×#126	C₂³	1	2	yes	—
317	C₂×#126	C₂³	1	2	yes	—
318	C₂×#126	C₂³	1	2	yes	—
319	C₂×#126	C₂³	1	2	yes	—
320	C₂×#126	C₂³	1	2	yes	complemented
321	C₂×#126	C₂³	1	2	yes	complemented
322	C₂×#126	C₂³	1	2	yes	complemented
323	C₂×#126	C₂³	1	2	yes	complemented
324	C₂×#125	C₂³	1	2	yes	complemented
325	C₂×#125	C₂³	1	1	yes	characteristic, complemented
326	C₂×#125	C₂³	1	2	yes	complemented
327	C₂×#125	C₂³	1	2	yes	complemented
328	C₂×#125	C₂³	1	2	yes	complemented
329	C₂×#125	C₂³	1	2	yes	complemented
330	C₂×#125	C₂³	1	2	yes	complemented
331	C₂×#125	C₂³	1	2	yes	complemented
332	C₂×#125	C₂³	1	2	yes	complemented
333	C₂×#125	C₂³	1	2	yes	complemented
334	C₂×#124	—	2	8	no	—
335	C₂×#124	C₂³	1	4	yes	—
336	C₂×#124	C₂³	1	4	yes	—
337	C₂×#124	C₂³	1	2	yes	—
338	C₂×#124	C₂³	1	2	yes	—
339	C₂×#124	C₂³	1	2	yes	—
340	C₂×#124	C₂³	1	4	yes	—
341	C₂×#124	C₂³	1	1	yes	characteristic, complemented
342	C₂×#123	—	2	8	no	—
343	C₂×#123	—	2	8	no	—
344	C₂×#123	—	2	8	no	—
345	C₂×#123	C₂³	1	2	yes	—
346	C₂×#123	C₂³	1	2	yes	—
347	C₂×#123	C₂³	1	4	yes	—
348	C₂×#123	C₂³	1	4	yes	—
349	C₂×#123	C₂³	1	4	yes	—
350	C₂×#123	C₂³	1	4	yes	—
351	C₂×#123	C₂³	1	4	yes	—
352	C₂×#123	C₂³	1	4	yes	—
353	C₂×#123	C₂³	1	2	yes	—
354	C₂×#123	C₂³	1	2	yes	—
355	C₂×#123	C₂³	1	2	yes	—
356	C₂×#123	C₂³	1	2	yes	—
357	C₂×#123	C₂³	1	2	yes	—
358	C₂×#123	C₂³	1	2	yes	—
359	C₂×#123	C₂³	1	4	yes	—
360	C₂×#123	C₂³	1	2	yes	complemented
361	C₂×C₂²⋊Q₈	—	2	8	no	—
362	C₂×C₂²⋊Q₈	—	2	8	no	—
363	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
366	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
371	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
372	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
374	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
376	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
377	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
378	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
379	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
380	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
381	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
382	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
383	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
384	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
385	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
386	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
387	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
388	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
389	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
390	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
391	C₂×#121	C₂³	1	1	yes	characteristic
392	C₂×#121	C₂³	1	2	yes	—
393	C₂×#121	C₂³	1	2	yes	—
394	C₂×#121	C₂³	1	4	yes	—
395	C₂×#121	C₂³	1	4	yes	—
396	C₂×#120	—	2	8	no	—
397	C₂×#120	C₂³	1	2	yes	—
398	C₂×#120	C₂³	1	2	yes	—
399	C₂×#120	C₂³	1	4	yes	—
400	C₂×#120	C₂³	1	4	yes	—
401	C₂×#120	C₂³	1	2	yes	—
402	C₂×#120	C₂³	1	4	yes	—
403	C₂×#120	C₂³	1	2	yes	—
404	C₂×#120	C₂³	1	4	yes	—
405	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
406	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
407	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
408	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
409	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
410	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
411	C₂×C₄×D₄	—	2	8	no	—
412	C₂×C₄×D₄	—	2	8	no	—
413	C₂×C₄×D₄	C₂³	1	2	yes	—
414	C₂×C₄×D₄	C₂³	1	2	yes	—
415	C₂×C₄×D₄	C₂³	1	2	yes	—
416	C₂×C₄×D₄	C₂³	1	2	yes	—
417	C₂×C₄×D₄	C₂³	1	2	yes	—
418	C₂×C₄×D₄	C₂³	1	2	yes	—
419	C₂×C₄×D₄	C₂³	1	2	yes	—
420	C₂×C₄×D₄	C₂³	1	4	yes	—
421	C₂×C₄×D₄	C₂³	1	2	yes	—
422	C₂×C₄×D₄	C₂³	1	4	yes	—
423	C₂×C₄×D₄	C₂³	1	2	yes	—
424	C₂×C₄×D₄	C₂³	1	4	yes	—
425	C₂×C₄×D₄	C₂³	1	4	yes	—
426	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
427	C₂×C₄×D₄	C₂³	1	4	yes	complemented
428	C₂×#117	—	2	8	no	—
429	C₂×#117	—	2	8	no	—
430	C₂×#117	C₂³	1	2	yes	—
431	C₂×#117	C₂³	1	2	yes	—
432	C₂×#117	C₂³	1	2	yes	—
433	C₂×#117	C₂³	1	2	yes	—
434	C₂×#117	C₂³	1	2	yes	—
435	C₂×#117	C₂³	1	2	yes	—
436	C₂×#117	C₂³	1	2	yes	—
437	C₂×#117	C₂³	1	4	yes	—
438	C₂×#117	C₂³	1	4	yes	—
439	C₂×#117	C₂³	1	2	yes	—
440	C₂×#117	C₂³	1	2	yes	—
441	C₂×#117	C₂³	1	2	yes	—
442	C₂×#117	C₂³	1	2	yes	complemented
443	C₂×#117	C₂³	1	2	yes	complemented
444	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
453	C₂²×C₂²⋊C₄	—	2	8	no	—
454	C₂²×C₂²⋊C₄	—	2	8	no	—
455	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
456	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
457	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
459	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
460	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
461	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
462	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
463	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
464	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
465	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
466	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
467	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
468	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
469	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
471	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
472	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
473	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
474	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
475	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
476	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
477	C₂²×C₄²	C₂³	1	1	yes	characteristic
478	C₂²×C₄²	C₂³	1	1	yes	characteristic
479	C₂²×C₄²	C₂³	1	1	yes	characteristic
480	#400	C₂³	1	4	yes	complemented
481	#400	C₂³	1	4	yes	complemented
482	#400	C₂³	1	4	yes	complemented
483	#399	C₂³	1	2	yes	—
484	#399	C₂³	1	2	yes	—
485	#399	C₂³	1	4	yes	—
486	#399	C₂³	1	2	yes	—
487	#399	C₂³	1	4	yes	—
488	#399	C₂³	1	4	yes	—
489	#399	C₂³	1	4	yes	—
490	#399	C₂³	1	2	yes	complemented
491	#399	C₂³	1	2	yes	complemented
492	#399	C₂³	1	4	yes	complemented
493	#399	C₂³	1	4	yes	complemented
494	#399	C₂³	1	2	yes	complemented
495	#399	C₂³	1	4	yes	complemented
496	#398	C₂³	1	4	yes	complemented
497	#398	C₂³	1	4	yes	complemented
498	#398	C₂³	1	4	yes	complemented
499	#398	C₂³	1	4	yes	complemented
500	#398	C₂³	1	4	yes	complemented
501	#398	C₂³	1	4	yes	complemented
502	#398	C₂³	1	4	yes	complemented
503	#398	C₂³	1	4	yes	complemented
504	#397	C₂³	1	4	yes	—
505	#397	C₂³	1	4	yes	—
506	#397	C₂³	1	2	yes	—
507	#397	C₂³	1	4	yes	—
508	#397	C₂³	1	4	yes	—
509	#397	C₂³	1	4	yes	—
510	#397	C₂³	1	4	yes	—
511	#397	C₂³	1	4	yes	—
512	#397	C₂³	1	4	yes	—
513	#397	C₂³	1	4	yes	complemented
514	#397	C₂³	1	2	yes	complemented
515	#397	C₂³	1	4	yes	complemented
516	#397	C₂³	1	4	yes	complemented
517	#397	C₂³	1	4	yes	complemented
518	#396	C₂³	1	4	yes	—
519	#396	C₂³	1	4	yes	—
520	#396	C₂³	1	4	yes	—
521	#396	C₂³	1	4	yes	—
522	#396	C₂³	1	4	yes	—
523	#396	C₂³	1	4	yes	—
524	#396	C₂³	1	4	yes	—
525	#396	C₂³	1	4	yes	—
526	#396	C₂³	1	4	yes	—
527	#396	C₂³	1	4	yes	—
528	#396	C₂³	1	4	yes	complemented
529	#396	C₂³	1	4	yes	complemented
530	#396	C₂³	1	4	yes	complemented
531	#396	C₂³	1	4	yes	complemented
532	#396	C₂³	1	4	yes	complemented
533	#396	C₂³	1	4	yes	complemented
534	#396	C₂³	1	4	yes	complemented
535	#396	C₂³	1	4	yes	complemented
536	#395	C₂³	1	4	yes	complemented
537	#395	C₂³	1	4	yes	complemented
538	#395	C₂³	1	4	yes	complemented
539	#395	C₂³	1	4	yes	complemented
540	#395	C₂³	1	4	yes	complemented
541	#394	C₂³	1	4	yes	—
542	#394	C₂³	1	4	yes	—
543	#394	C₂³	1	4	yes	—
544	#394	C₂³	1	4	yes	—
545	#394	C₂³	1	4	yes	—
546	#394	C₂³	1	4	yes	—
547	#394	C₂³	1	4	yes	—
548	#394	C₂³	1	4	yes	—
549	#394	C₂³	1	4	yes	—
550	#394	C₂³	1	4	yes	—
551	#394	C₂³	1	4	yes	—
552	#394	C₂³	1	4	yes	—
553	#394	C₂³	1	4	yes	—
554	#394	C₂³	1	4	yes	—
555	#394	C₂³	1	4	yes	—
556	#394	C₂³	1	4	yes	complemented
557	#394	C₂³	1	4	yes	complemented
558	#394	C₂³	1	4	yes	complemented
559	#393	C₂³	1	4	yes	—
560	#393	C₂³	1	2	yes	—
561	#393	C₂³	1	2	yes	—
562	#393	C₂³	1	2	yes	—
563	#393	C₂³	1	4	yes	—
564	#393	C₂³	1	4	yes	—
565	#393	C₂³	1	4	yes	complemented
566	#393	C₂³	1	2	yes	complemented
567	#393	C₂³	1	2	yes	complemented
568	#393	C₂³	1	2	yes	complemented
569	#393	C₂³	1	4	yes	complemented
570	#392	C₂³	1	4	yes	—
571	#392	C₂³	1	4	yes	—
572	#392	C₂³	1	2	yes	—
573	#392	C₂³	1	4	yes	—
574	#392	C₂³	1	4	yes	—
575	#392	C₂³	1	2	yes	complemented
576	#391	C₂³	1	2	yes	complemented
577	#391	C₂³	1	2	yes	complemented
578	#391	C₂³	1	2	yes	complemented
579	#391	C₂³	1	4	yes	complemented
580	#391	C₂³	1	4	yes	complemented
581	#391	C₂³	1	4	yes	complemented
582	#390	C₂³	1	4	yes	—
583	#390	C₂³	1	4	yes	—
584	#390	C₂³	1	4	yes	—
585	#390	C₂³	1	4	yes	—
586	#390	C₂³	1	4	yes	—
587	#390	C₂³	1	4	yes	—
588	#390	C₂³	1	4	yes	—
589	#390	C₂³	1	4	yes	—
590	#390	C₂³	1	4	yes	—
591	#390	C₂³	1	4	yes	—
592	#390	C₂³	1	2	yes	complemented
593	#390	C₂³	1	4	yes	complemented
594	#389	C₂³	1	4	yes	complemented
595	#389	C₂³	1	4	yes	complemented
596	#389	C₂³	1	4	yes	complemented
597	#389	C₂³	1	4	yes	complemented
598	#389	C₂³	1	4	yes	complemented
599	#389	C₂³	1	4	yes	complemented
600	#389	C₂³	1	4	yes	complemented
601	#389	C₂³	1	4	yes	complemented
602	#389	C₂³	1	2	yes	complemented
603	#389	C₂³	1	2	yes	complemented
604	#389	C₂³	1	2	yes	complemented
605	#389	C₂³	1	4	yes	complemented
606	#389	C₂³	1	2	yes	complemented
607	#389	C₂³	1	4	yes	complemented
608	#389	C₂³	1	4	yes	complemented
609	#389	C₂³	1	4	yes	complemented
610	#389	C₂³	1	4	yes	complemented
611	#389	C₂³	1	4	yes	complemented
612	#388	C₂³	1	4	yes	—
613	#388	C₂³	1	4	yes	—
614	#388	C₂³	1	4	yes	—
615	#388	C₂³	1	4	yes	—
616	#388	C₂³	1	4	yes	—
617	#388	C₂³	1	4	yes	—
618	#388	C₂³	1	4	yes	—
619	#388	C₂³	1	4	yes	—
620	#388	C₂³	1	4	yes	—
621	#388	C₂³	1	4	yes	—
622	#388	C₂³	1	4	yes	—
623	#388	C₂³	1	4	yes	—
624	#388	C₂³	1	4	yes	—
625	#388	C₂³	1	4	yes	—
626	#388	C₂³	1	4	yes	—
627	#388	C₂³	1	4	yes	—
628	#388	C₂³	1	4	yes	—
629	#388	C₂³	1	4	yes	—
630	#388	C₂³	1	4	yes	—
631	#388	C₂³	1	4	yes	complemented
632	#388	C₂³	1	4	yes	complemented
633	#388	C₂³	1	4	yes	complemented
634	#388	C₂³	1	4	yes	complemented
635	#388	C₂³	1	4	yes	complemented
636	#388	C₂³	1	4	yes	complemented
637	#388	C₂³	1	4	yes	complemented
638	#388	C₂³	1	4	yes	complemented
639	#388	C₂³	1	4	yes	complemented
640	#387	C₂³	1	4	yes	complemented
641	#387	C₂³	1	4	yes	complemented
642	#387	C₂³	1	4	yes	complemented
643	#387	C₂³	1	4	yes	complemented
644	#387	C₂³	1	4	yes	complemented
645	#387	C₂³	1	4	yes	complemented
646	#387	C₂³	1	4	yes	complemented
647	#387	C₂³	1	4	yes	complemented
648	#387	C₂³	1	4	yes	complemented
649	#387	C₂³	1	4	yes	complemented
650	#387	C₂³	1	4	yes	complemented
651	#387	C₂³	1	4	yes	complemented
652	#387	C₂³	1	4	yes	complemented
653	#387	C₂³	1	4	yes	complemented
654	#387	C₂³	1	4	yes	complemented
655	#387	C₂³	1	4	yes	complemented
656	#386	C₂³	1	2	yes	—
657	#386	C₂³	1	2	yes	—
658	#386	C₂³	1	4	yes	—
659	#386	C₂³	1	4	yes	—
660	#386	C₂³	1	2	yes	—
661	#386	C₂³	1	4	yes	—
662	#386	C₂³	1	4	yes	—
663	#386	C₂³	1	4	yes	—
664	#386	C₂³	1	4	yes	—
665	#386	C₂³	1	4	yes	—
666	#386	C₂³	1	2	yes	—
667	#386	C₂³	1	4	yes	—
668	#386	C₂³	1	4	yes	—
669	#386	C₂³	1	4	yes	—
670	#386	C₂³	1	4	yes	—
671	#386	C₂³	1	4	yes	complemented
672	#386	C₂³	1	4	yes	complemented
673	#385	C₂³	1	4	yes	—
674	#385	C₂³	1	4	yes	—
675	#385	C₂³	1	2	yes	—
676	#385	C₂³	1	2	yes	—
677	#385	C₂³	1	2	yes	—
678	#385	C₂³	1	2	yes	—
679	#385	C₂³	1	4	yes	—
680	#385	C₂³	1	4	yes	—
681	#385	C₂³	1	4	yes	—
682	#385	C₂³	1	4	yes	—
683	#385	C₂³	1	2	yes	—
684	#385	C₂³	1	2	yes	—
685	#385	C₂³	1	2	yes	—
686	#385	C₂³	1	2	yes	—
687	#385	C₂³	1	2	yes	—
688	#385	C₂³	1	2	yes	—
689	#385	C₂³	1	2	yes	—
690	#385	C₂³	1	2	yes	—
691	#385	C₂³	1	4	yes	—
692	#385	C₂³	1	4	yes	—
693	#385	C₂³	1	4	yes	—
694	#385	C₂³	1	4	yes	—
695	#385	C₂³	1	4	yes	—
696	#385	C₂³	1	4	yes	—
697	#385	C₂³	1	4	yes	—
698	#385	C₂³	1	4	yes	—
699	#385	C₂³	1	4	yes	—
700	#385	C₂³	1	4	yes	—
701	#385	C₂³	1	4	yes	—
702	#385	C₂³	1	4	yes	—
703	#385	C₂³	1	4	yes	complemented
704	#385	C₂³	1	4	yes	complemented
705	#385	C₂³	1	4	yes	complemented
706	#385	C₂³	1	4	yes	complemented
707	#385	C₂³	1	4	yes	complemented
708	#384	C₂³	1	4	yes	complemented
709	#384	C₂³	1	4	yes	complemented
710	#384	C₂³	1	2	yes	complemented
711	#383	C₂³	1	2	yes	complemented
712	#382	C₂³	1	4	yes	complemented
713	#382	C₂³	1	4	yes	complemented
714	#382	C₂³	1	2	yes	complemented
715	#382	C₂³	1	2	yes	complemented
716	#381	C₂³	1	2	yes	—
717	#381	C₂³	1	2	yes	—
718	#381	C₂³	1	2	yes	—
719	#381	C₂³	1	2	yes	—
720	#381	C₂³	1	2	yes	—
721	#381	C₂³	1	4	yes	—
722	#380	C₂³	1	4	yes	—
723	#380	C₂³	1	1	yes	characteristic
724	#380	C₂³	1	1	yes	characteristic
725	#380	C₂³	1	1	yes	characteristic
726	#380	C₂³	1	1	yes	characteristic
727	#380	C₂³	1	2	yes	—
728	#380	C₂³	1	4	yes	—
729	#380	C₂³	1	4	yes	—
730	#380	C₂³	1	2	yes	—
731	#380	C₂³	1	2	yes	—
732	#380	C₂³	1	2	yes	—
733	#380	C₂³	1	2	yes	—
734	#380	C₂³	1	2	yes	—
735	#380	C₂³	1	2	yes	—
736	#380	C₂³	1	4	yes	—
737	#380	C₂³	1	4	yes	—
738	#380	C₂³	1	4	yes	—
739	#380	C₂³	1	4	yes	—
740	#380	C₂³	1	4	yes	complemented
741	#379	C₂³	1	2	yes	—
742	#379	C₂³	1	2	yes	—
743	#379	C₂³	1	2	yes	—
744	#379	C₂³	1	2	yes	—
745	#379	C₂³	1	2	yes	—
746	#379	C₂³	1	2	yes	—
747	#379	C₂³	1	2	yes	—
748	#379	C₂³	1	2	yes	—
749	#379	C₂³	1	4	yes	—
750	#379	C₂³	1	4	yes	—
751	#379	C₂³	1	2	yes	—
752	#379	C₂³	1	2	yes	—
753	#379	C₂³	1	4	yes	—
754	#379	C₂³	1	4	yes	—
755	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
756	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
757	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
758	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
759	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
760	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
761	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
762	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
763	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
764	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
765	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
766	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
767	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
768	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
769	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
770	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
771	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
772	#376	C₂³	1	2	yes	complemented
773	C₂⁵	—	2	4	no	—
774	C₂⁵	—	2	4	no	—
775	C₂⁵	—	4	2	no	—
776	C₂⁵	—	4	4	no	—
777	C₂⁵	—	8	2	no	—
778	C₂⁵	C₂⁴	1	1	yes	characteristic
779	C₂⁵	C₂⁴	1	4	yes	—
780	C₂⁵	C₂⁴	1	1	yes	characteristic
781	C₂⁵	C₂⁴	1	1	yes	characteristic
782	C₂⁵	C₂⁴	1	1	yes	characteristic
783	C₂²×Q₈	—	2	4	no	—
784	C₂²×Q₈	—	8	2	no	—
785	C₂²×Q₈	C₂⁴	1	2	yes	—
786	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
787	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
788	C₂²×Q₈	C₂⁴	1	2	yes	—
789	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
790	C₂²×Q₈	C₂⁴	1	2	yes	—
791	C₂²×Q₈	C₂⁴	1	4	yes	—
792	C₂²×D₄	—	2	4	no	—
793	C₂²×D₄	—	2	4	no	—
794	C₂²×D₄	—	2	4	no	—
795	C₂²×D₄	—	2	4	no	—
796	C₂²×D₄	—	4	2	no	—
797	C₂²×D₄	—	4	4	no	—
798	C₂²×D₄	—	8	2	no	—
799	C₂²×D₄	C₂⁴	1	2	yes	—
800	C₂²×D₄	C₂⁴	1	4	yes	—
801	C₂²×D₄	C₂⁴	1	2	yes	—
802	C₂²×D₄	C₂⁴	1	2	yes	—
803	C₂²×D₄	C₂⁴	1	2	yes	—
804	C₂²×D₄	C₂⁴	1	4	yes	—
805	C₂²×D₄	C₂⁴	1	2	yes	—
806	C₂²×D₄	C₂⁴	1	4	yes	—
807	C₂²×D₄	C₂⁴	1	1	yes	characteristic
808	C₂²×D₄	C₂⁴	1	4	yes	—
809	C₂²×D₄	C₂⁴	1	4	yes	—
810	C₂³×C₄	—	2	4	no	—
811	C₂³×C₄	—	2	4	no	—
812	C₂³×C₄	—	2	4	no	—
813	C₂³×C₄	—	2	4	no	—
814	C₂³×C₄	—	2	4	no	—
815	C₂³×C₄	—	2	4	no	—
816	C₂³×C₄	—	4	2	no	—
817	C₂³×C₄	—	4	4	no	—
818	C₂³×C₄	—	8	2	no	—
819	C₂³×C₄	—	8	2	no	—
820	C₂³×C₄	—	8	2	no	—
821	C₂³×C₄	C₂⁴	1	1	yes	characteristic
822	C₂³×C₄	C₂⁴	1	2	yes	—
823	C₂³×C₄	C₂⁴	1	2	yes	—
824	C₂³×C₄	C₂⁴	1	4	yes	—
825	C₂³×C₄	C₂⁴	1	1	yes	characteristic
826	C₂³×C₄	C₂⁴	1	1	yes	characteristic
827	C₂³×C₄	C₂⁴	1	1	yes	characteristic
828	C₂³×C₄	C₂⁴	1	1	yes	characteristic
829	C₂³×C₄	C₂⁴	1	2	yes	—
830	C₂³×C₄	C₂⁴	1	2	yes	—
831	C₂³×C₄	C₂⁴	1	1	yes	characteristic
832	C₂³×C₄	C₂⁴	1	1	yes	characteristic
833	C₂³×C₄	C₂⁴	1	2	yes	—
834	C₂³×C₄	C₂⁴	1	4	yes	—
835	C₂³×C₄	C₂⁴	1	2	yes	—
836	C₂³×C₄	C₂⁴	1	2	yes	—
837	C₂³×C₄	C₂⁴	1	2	yes	—
838	C₂³×C₄	C₂⁴	1	2	yes	—
839	C₂³×C₄	C₂⁴	1	2	yes	—
840	C₂³×C₄	C₂⁴	1	2	yes	—
841	C₂³×C₄	C₂⁴	1	4	yes	—
842	C₂³×C₄	C₂⁴	1	1	yes	characteristic
843	C₂³×C₄	C₂⁴	1	1	yes	characteristic
844	C₂³×C₄	C₂⁴	1	1	yes	characteristic
845	C₂³×C₄	C₂⁴	1	1	yes	characteristic
846	C₄⋊Q₈	—	2	8	no	—
847	C₄⋊Q₈	—	2	8	no	—
848	C₄⋊Q₈	—	2	8	no	—
849	C₄⋊Q₈	—	2	4	no	—
850	C₄⋊Q₈	—	2	4	no	—
851	C₄⋊Q₈	—	8	4	no	—
852	#126	—	2	8	no	—
853	#126	—	2	8	no	—
854	#126	—	2	8	no	—
855	#126	—	2	16	no	—
856	#126	—	2	16	no	—
857	#126	—	2	8	no	—
858	#126	—	2	8	no	—
859	#126	—	2	8	no	—
860	#126	—	2	8	no	—
861	#126	—	2	8	no	—
862	#126	—	2	8	no	—
863	#126	C₂×D₄	1	16	yes	—
864	#126	C₂×D₄	1	16	yes	—
865	#126	C₂×D₄	1	16	yes	—
866	#126	C₂×D₄	1	16	yes	—
867	#125	—	2	8	no	—
868	#125	—	2	8	no	—
869	#125	—	2	8	no	—
870	#125	—	2	8	no	—
871	#125	—	2	8	no	—
872	#125	—	2	8	no	—
873	#125	—	2	8	no	—
874	#125	—	2	8	no	—
875	#125	—	2	4	no	—
876	#125	—	2	8	no	—
877	#124	—	2	16	no	—
878	#124	—	2	16	no	—
879	#124	—	2	8	no	—
880	#124	—	2	8	no	—
881	#124	—	2	8	no	—
882	#124	—	2	4	no	—
883	#124	—	4	8	no	—
884	#123	—	2	8	no	—
885	#123	—	2	8	no	—
886	#123	—	2	16	no	—
887	#123	—	2	16	no	—
888	#123	—	2	16	no	—
889	#123	—	2	16	no	—
890	#123	—	2	8	no	—
891	#123	—	2	16	no	—
892	#123	—	2	16	no	—
893	#123	—	2	8	no	—
894	#123	—	2	8	no	—
895	#123	—	2	8	no	—
896	#123	—	2	8	no	—
897	#123	—	2	8	no	—
898	#123	—	4	4	no	—
899	#123	—	8	4	no	—
900	C₂²⋊Q₈	—	2	4	no	—
901	C₂²⋊Q₈	—	2	4	no	—
902	C₂²⋊Q₈	—	2	4	no	—
903	C₂²⋊Q₈	—	2	8	no	—
904	C₂²⋊Q₈	—	2	8	no	—
905	C₂²⋊Q₈	—	2	8	no	—
906	C₂²⋊Q₈	—	2	16	no	—
907	C₂²⋊Q₈	—	2	16	no	—
908	C₂²⋊Q₈	—	2	16	no	—
909	C₂²⋊Q₈	—	2	16	no	—
910	C₂²⋊Q₈	—	2	8	no	—
911	C₂²⋊Q₈	—	2	8	no	—
912	C₂²⋊Q₈	—	2	8	no	—
913	C₂²⋊Q₈	—	2	8	no	—
914	C₂²⋊Q₈	—	2	8	no	—
915	C₂²⋊Q₈	—	2	8	no	—
916	C₂²⋊Q₈	—	2	8	no	—
917	C₂²⋊Q₈	—	2	8	no	—
918	C₂²⋊Q₈	—	2	8	no	—
919	C₂²⋊Q₈	—	2	8	no	—
920	C₂²⋊Q₈	—	2	8	no	—
921	C₂²⋊Q₈	—	4	4	no	—
922	C₂²⋊Q₈	—	4	4	no	—
923	C₂²⋊Q₈	—	4	4	no	—
924	C₂²⋊Q₈	—	8	4	no	—
925	C₂²⋊Q₈	—	8	4	no	—
926	C₂²⋊Q₈	—	8	4	no	—
927	C₂²⋊Q₈	—	8	4	no	—
928	#121	—	2	4	no	—
929	#121	—	2	8	no	—
930	#121	—	4	8	no	—
931	#121	—	4	4	no	—
932	#121	—	8	4	no	—
933	#120	—	2	8	no	—
934	#120	—	2	8	no	—
935	#120	—	2	16	no	—
936	#120	—	2	16	no	—
937	#120	—	4	4	no	—
938	#120	—	4	4	no	—
939	#120	—	4	8	no	—
940	#120	—	8	4	no	—
941	C₄×Q₈	—	2	8	no	—
942	C₄×Q₈	—	2	8	no	—
943	C₄×Q₈	—	2	4	no	—
944	C₄×Q₈	—	2	8	no	—
945	C₄×Q₈	—	2	4	no	—
946	C₄×Q₈	—	2	4	no	—
947	C₄×D₄	—	2	8	no	—
948	C₄×D₄	—	2	8	no	—
949	C₄×D₄	—	2	8	no	—
950	C₄×D₄	—	2	16	no	—
951	C₄×D₄	—	2	16	no	—
952	C₄×D₄	—	2	8	no	—
953	C₄×D₄	—	2	8	no	—
954	C₄×D₄	—	2	8	no	—
955	C₄×D₄	—	2	8	no	—
956	C₄×D₄	—	2	8	no	—
957	C₄×D₄	—	2	8	no	—
958	C₄×D₄	—	2	4	no	—
959	C₄×D₄	—	8	4	no	—
960	C₄×D₄	—	8	4	no	—
961	C₄×D₄	—	8	4	no	—
962	#117	—	2	8	no	—
963	#117	—	2	8	no	—
964	#117	—	2	16	no	—
965	#117	—	2	16	no	—
966	#117	—	2	8	no	—
967	#117	—	2	8	no	—
968	#117	—	2	8	no	—
969	#117	—	2	8	no	—
970	#117	—	2	8	no	—
971	#117	—	2	8	no	—
972	#117	—	2	8	no	—
973	#117	—	2	8	no	—
974	#117	—	4	4	no	—
975	#117	—	4	4	no	—
976	C₂×C₄⋊C₄	—	2	4	no	—
977	C₂×C₄⋊C₄	—	2	4	no	—
978	C₂×C₄⋊C₄	—	2	4	no	—
979	C₂×C₄⋊C₄	—	2	4	no	—
980	C₂×C₄⋊C₄	—	2	4	no	—
981	C₂×C₄⋊C₄	—	2	8	no	—
982	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	—
983	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	—
984	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	—
985	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
986	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
987	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
988	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
989	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
990	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
991	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
992	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
993	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
994	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
995	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
996	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
997	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
999	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1000	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1001	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1003	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1005	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1006	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1007	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1008	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1009	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1010	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1012	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1014	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1015	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1017	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1019	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1021	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1024	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1027	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1036	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1040	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1043	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1044	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1045	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1046	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1047	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1048	C₂×C₂²⋊C₄	—	2	4	no	—
1049	C₂×C₂²⋊C₄	—	2	4	no	—
1050	C₂×C₂²⋊C₄	—	2	8	no	—
1051	C₂×C₂²⋊C₄	—	2	4	no	—
1052	C₂×C₂²⋊C₄	—	2	4	no	—
1053	C₂×C₂²⋊C₄	—	2	4	no	—
1054	C₂×C₂²⋊C₄	—	2	4	no	—
1055	C₂×C₂²⋊C₄	—	2	4	no	—
1056	C₂×C₂²⋊C₄	—	2	4	no	—
1057	C₂×C₂²⋊C₄	—	2	4	no	—
1058	C₂×C₂²⋊C₄	—	2	4	no	—
1059	C₂×C₂²⋊C₄	—	2	4	no	—
1060	C₂×C₂²⋊C₄	—	2	16	no	—
1061	C₂×C₂²⋊C₄	—	2	16	no	—
1062	C₂×C₂²⋊C₄	—	2	16	no	—
1063	C₂×C₂²⋊C₄	—	2	16	no	—
1064	C₂×C₂²⋊C₄	—	4	4	no	—
1065	C₂×C₂²⋊C₄	—	4	8	no	—
1066	C₂×C₂²⋊C₄	—	8	4	no	—
1067	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
1068	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
1069	C₂×C₂²⋊C₄	C₂×D₄	1	8	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	4	yes	—
1075	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1076	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1077	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1078	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1079	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1080	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1082	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1083	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1084	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1085	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1086	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1087	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1088	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1089	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1090	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1091	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1092	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1093	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1094	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1095	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1096	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1097	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1098	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1099	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1100	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1101	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1102	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1103	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1104	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1105	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1106	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1107	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1108	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1109	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1110	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1113	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1114	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1115	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1116	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1117	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1118	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1119	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1120	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1121	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1122	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1123	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1124	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1125	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1126	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1127	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1128	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1129	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1130	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1131	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1132	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1133	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1134	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1135	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1136	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1137	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1138	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1139	C₂×C₄²	—	2	4	no	—
1140	C₂×C₄²	—	2	4	no	—
1141	C₂×C₄²	C₂×D₄	1	8	yes	—
1142	C₂×C₄²	C₂⁴	1	2	yes	—
1143	C₂×C₄²	C₂⁴	1	2	yes	—
1144	C₂×C₄²	C₂⁴	1	2	yes	—
1145	C₂×C₄²	C₂⁴	1	4	yes	—
1146	C₂×C₄²	C₂⁴	1	2	yes	—
1147	C₂×C₄²	C₂⁴	1	2	yes	—
1148	C₂×C₄²	C₂⁴	1	2	yes	—
1149	C₂×C₄²	C₂⁴	1	2	yes	—
1150	C₂×C₄²	C₂⁴	1	2	yes	—
1151	C₂×C₄²	C₂⁴	1	2	yes	—
1152	C₂×C₄²	C₂⁴	1	4	yes	—
1153	C₂×C₄²	C₂⁴	1	4	yes	—
1154	C₂×C₄²	C₂⁴	1	4	yes	—
1155	C₂×C₄²	C₂⁴	1	4	yes	—
1156	C₂×C₄²	C₂⁴	1	4	yes	—
1157	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1158	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1159	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1160	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1161	#95	C₂⁴	1	4	yes	—
1162	#95	C₂⁴	1	2	yes	—
1163	#95	C₂⁴	1	2	yes	—
1164	#95	C₂⁴	1	4	yes	—
1165	#95	C₂⁴	1	4	yes	—
1166	#95	C₂⁴	1	4	yes	—
1167	#95	C₂⁴	1	4	yes	—
1168	#95	C₂⁴	1	4	yes	—
1169	#95	C₂⁴	1	4	yes	—
1170	#95	C₂⁴	1	4	yes	—
1171	#95	C₂⁴	1	4	yes	—
1172	#95	C₂⁴	1	4	yes	—
1173	#95	C₂⁴	1	4	yes	—
1174	#95	C₂⁴	1	4	yes	—
1175	#95	C₂⁴	1	4	yes	—
1176	#95	C₂⁴	1	4	yes	—
1177	#95	C₂⁴	1	4	yes	—
1178	#95	C₂⁴	1	4	yes	—
1179	#95	C₂⁴	1	4	yes	—
1180	#95	C₂⁴	1	4	yes	—
1181	#95	C₂⁴	1	2	yes	—
1182	#95	C₂⁴	1	2	yes	—
1183	#95	C₂⁴	1	4	yes	—
1184	#95	C₂⁴	1	4	yes	—
1185	#95	C₂⁴	1	4	yes	—
1186	#95	C₂⁴	1	4	yes	—
1187	#95	C₂⁴	1	4	yes	—
1188	#95	C₂⁴	1	4	yes	—
1189	#95	C₂⁴	1	4	yes	—
1190	#95	C₂⁴	1	4	yes	—
1191	#95	C₂⁴	1	4	yes	—
1192	#95	C₂⁴	1	4	yes	—
1193	#95	C₂⁴	1	4	yes	—
1194	#95	C₂⁴	1	4	yes	—
1195	#95	C₂⁴	1	4	yes	—
1196	#95	C₂⁴	1	4	yes	—
1197	C₂⁴	—	2	2	no	—
1198	C₂⁴	—	2	2	no	—
1199	C₂⁴	—	2	4	no	—
1200	C₂⁴	—	2	2	no	—
1201	C₂⁴	—	2	2	no	—
1202	C₂⁴	—	2	2	no	—
1203	C₂⁴	—	2	2	no	—
1204	C₂⁴	—	2	2	no	—
1205	C₂⁴	—	2	2	no	—
1206	C₂⁴	—	2	8	no	—
1207	C₂⁴	—	2	8	no	—
1208	C₂⁴	—	2	8	no	—
1209	C₂⁴	—	2	2	no	—
1210	C₂⁴	—	2	2	no	—
1211	C₂⁴	—	4	2	no	—
1212	C₂⁴	—	4	2	no	—
1213	C₂⁴	—	4	2	no	—
1214	C₂⁴	—	4	4	no	—
1215	C₂⁴	—	4	2	no	—
1216	C₂⁴	—	4	2	no	—
1217	C₂⁴	—	4	2	no	—
1218	C₂⁴	—	4	2	no	—
1219	C₂⁴	—	4	4	no	—
1220	C₂⁴	—	4	4	no	—
1221	C₂⁴	—	4	4	no	—
1222	C₂⁴	—	4	16	no	—
1223	C₂⁴	—	4	16	no	—
1224	C₂⁴	—	8	16	no	—
1225	C₂⁴	—	8	8	no	—
1226	C₂⁴	—	8	16	no	—
1227	C₂⁴	C₂²×D₄	1	4	yes	—
1228	C₂⁴	2₋¹⁺⁴	1	4	yes	—
1229	C₂⁴	C₂⁵	1	2	yes	—
1230	C₂⁴	C₂⁵	1	2	yes	—
1231	C₂⁴	C₂⁵	1	2	yes	—
1232	C₂⁴	C₂⁵	1	2	yes	—
1233	C₂⁴	C₂⁵	1	2	yes	—
1234	C₂⁴	C₂⁵	1	1	yes	characteristic
1235	C₂×Q₈	—	2	4	no	—
1236	C₂×Q₈	—	2	2	no	—
1237	C₂×Q₈	—	2	4	no	—
1238	C₂×Q₈	—	2	2	no	—
1239	C₂×Q₈	—	2	4	no	—
1240	C₂×Q₈	—	2	2	no	—
1241	C₂×Q₈	—	2	8	no	—
1242	C₂×Q₈	—	4	2	no	—
1243	C₂×Q₈	—	4	2	no	—
1244	C₂×Q₈	—	4	2	no	—
1245	C₂×Q₈	—	4	4	no	—
1246	C₂×Q₈	—	4	4	no	—
1247	C₂×Q₈	—	4	4	no	—
1248	C₂×Q₈	—	4	4	no	—
1249	C₂×Q₈	—	4	4	no	—
1250	C₂×Q₈	—	8	8	no	—
1251	C₂×D₄	—	2	4	no	—
1252	C₂×D₄	—	2	4	no	—
1253	C₂×D₄	—	2	4	no	—
1254	C₂×D₄	—	2	4	no	—
1255	C₂×D₄	—	2	4	no	—
1256	C₂×D₄	—	2	8	no	—
1257	C₂×D₄	—	2	4	no	—
1258	C₂×D₄	—	2	4	no	—
1259	C₂×D₄	—	2	8	no	—
1260	C₂×D₄	—	2	8	no	—
1261	C₂×D₄	—	2	8	no	—
1262	C₂×D₄	—	2	4	no	—
1263	C₂×D₄	—	2	8	no	—
1264	C₂×D₄	—	2	4	no	—
1265	C₂×D₄	—	2	2	no	—
1266	C₂×D₄	—	4	2	no	—
1267	C₂×D₄	—	4	4	no	—
1268	C₂×D₄	—	4	2	no	—
1269	C₂×D₄	—	4	16	no	—
1270	C₂×D₄	—	4	4	no	—
1271	C₂×D₄	—	4	4	no	—
1272	C₂×D₄	—	4	4	no	—
1273	C₂×D₄	—	4	4	no	—
1274	C₂×D₄	—	4	4	no	—
1275	C₂×D₄	—	4	4	no	—
1276	C₂×D₄	—	4	4	no	—
1277	C₂×D₄	—	4	4	no	—
1278	C₂×D₄	—	4	2	no	—
1279	C₂×D₄	—	4	4	no	—
1280	C₂×D₄	—	4	4	no	—
1281	C₂×D₄	—	4	4	no	—
1282	C₂×D₄	—	4	16	no	—
1283	C₂×D₄	—	8	8	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	2	2	no	—
1287	C₂²×C₄	—	2	2	no	—
1288	C₂²×C₄	—	2	2	no	—
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	8	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	2	4	no	—
1296	C₂²×C₄	—	2	4	no	—
1297	C₂²×C₄	—	2	2	no	—
1298	C₂²×C₄	—	2	4	no	—
1299	C₂²×C₄	—	2	4	no	—
1300	C₂²×C₄	—	2	8	no	—
1301	C₂²×C₄	—	2	4	no	—
1302	C₂²×C₄	—	2	4	no	—
1303	C₂²×C₄	—	2	8	no	—
1304	C₂²×C₄	—	2	4	no	—
1305	C₂²×C₄	—	2	4	no	—
1306	C₂²×C₄	—	2	4	no	—
1307	C₂²×C₄	—	2	4	no	—
1308	C₂²×C₄	—	2	4	no	—
1309	C₂²×C₄	—	2	4	no	—
1310	C₂²×C₄	—	2	4	no	—
1311	C₂²×C₄	—	4	4	no	—
1312	C₂²×C₄	—	4	2	no	—
1313	C₂²×C₄	—	4	2	no	—
1314	C₂²×C₄	—	4	2	no	—
1315	C₂²×C₄	—	4	2	no	—
1316	C₂²×C₄	—	4	2	no	—
1317	C₂²×C₄	—	4	2	no	—
1318	C₂²×C₄	—	4	2	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	4	no	—
1327	C₂²×C₄	—	4	4	no	—
1328	C₂²×C₄	—	4	4	no	—
1329	C₂²×C₄	—	4	4	no	—
1330	C₂²×C₄	—	4	4	no	—
1331	C₂²×C₄	—	4	4	no	—
1332	C₂²×C₄	—	4	4	no	—
1333	C₂²×C₄	—	4	4	no	—
1334	C₂²×C₄	—	4	4	no	—
1335	C₂²×C₄	—	4	4	no	—
1336	C₂²×C₄	—	4	16	no	—
1337	C₂²×C₄	—	4	16	no	—
1338	C₂²×C₄	—	8	8	no	—
1339	C₂²×C₄	—	8	8	no	—
1340	C₂²×C₄	—	8	8	no	—
1341	C₂²×C₄	C₂²×D₄	1	4	yes	—
1342	C₂²×C₄	C₂²×D₄	1	4	yes	—
1343	C₂²×C₄	C₂²×D₄	1	4	yes	—
1344	C₂²×C₄	C₂²×D₄	1	4	yes	—
1345	C₂²×C₄	C₂²×D₄	1	4	yes	—
1346	C₂²×C₄	C₂²×D₄	1	4	yes	—
1347	C₂²×C₄	C₂⁵	1	4	yes	—
1348	C₂²×C₄	C₂⁵	1	2	yes	—
1349	C₂²×C₄	C₂⁵	1	4	yes	—
1350	C₂²×C₄	C₂⁵	1	4	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	2	yes	—
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	2	yes	—
1360	C₂²×C₄	C₂⁵	1	2	yes	—
1361	C₂²×C₄	C₂⁵	1	2	yes	—
1362	C₂²×C₄	C₂⁵	1	2	yes	—
1363	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁵	1	2	yes	—
1367	C₂²×C₄	C₂⁵	1	2	yes	—
1368	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁵	1	2	yes	—
1371	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	4	no	—
1380	C₄⋊C₄	—	2	4	no	—
1381	C₄⋊C₄	—	2	8	no	—
1382	C₄⋊C₄	—	2	4	no	—
1383	C₄⋊C₄	—	2	4	no	—
1384	C₄⋊C₄	—	2	4	no	—
1385	C₄⋊C₄	—	2	4	no	—
1386	C₄⋊C₄	—	2	4	no	—
1387	C₄⋊C₄	—	2	4	no	—
1388	C₄⋊C₄	—	2	4	no	—
1389	C₄⋊C₄	—	2	4	no	—
1390	C₄⋊C₄	—	2	4	no	—
1391	C₄⋊C₄	—	2	4	no	—
1392	C₄⋊C₄	—	2	4	no	—
1393	C₄⋊C₄	—	2	2	no	—
1394	C₄⋊C₄	—	2	4	no	—
1395	C₄⋊C₄	—	2	4	no	—
1396	C₄⋊C₄	—	2	4	no	—
1397	C₄⋊C₄	—	2	4	no	—
1398	C₄⋊C₄	—	2	4	no	—
1399	C₄⋊C₄	—	2	2	no	—
1400	C₄⋊C₄	—	2	4	no	—
1401	C₄⋊C₄	—	2	4	no	—
1402	C₄⋊C₄	—	2	2	no	—
1403	C₄⋊C₄	—	2	4	no	—
1404	C₄⋊C₄	—	2	2	no	—
1405	C₄⋊C₄	—	2	4	no	—
1406	C₄⋊C₄	—	2	4	no	—
1407	C₄⋊C₄	—	4	4	no	—
1408	C₄⋊C₄	—	4	4	no	—
1409	C₄⋊C₄	—	4	4	no	—
1410	C₄⋊C₄	—	4	4	no	—
1411	C₄⋊C₄	—	4	4	no	—
1412	C₄⋊C₄	—	4	4	no	—
1413	C₄⋊C₄	—	4	2	no	—
1414	C₄⋊C₄	—	4	4	no	—
1415	C₄⋊C₄	—	4	2	no	—
1416	C₄⋊C₄	—	4	2	no	—
1417	C₄⋊C₄	—	4	2	no	—
1418	C₄⋊C₄	—	4	4	no	—
1419	C₄⋊C₄	—	4	4	no	—
1420	C₄⋊C₄	—	4	4	no	—
1421	C₄⋊C₄	—	4	4	no	—
1422	C₄⋊C₄	—	4	4	no	—
1423	C₄⋊C₄	—	4	4	no	—
1424	C₄⋊C₄	—	4	4	no	—
1425	C₄⋊C₄	—	4	4	no	—
1426	C₄⋊C₄	—	4	4	no	—
1427	C₄⋊C₄	—	4	4	no	—
1428	C₄⋊C₄	—	4	4	no	—
1429	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1430	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1431	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1432	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1433	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1434	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1435	C₂²⋊C₄	—	2	8	no	—
1436	C₂²⋊C₄	—	2	8	no	—
1437	C₂²⋊C₄	—	2	4	no	—
1438	C₂²⋊C₄	—	2	4	no	—
1439	C₂²⋊C₄	—	2	4	no	—
1440	C₂²⋊C₄	—	2	4	no	—
1441	C₂²⋊C₄	—	2	4	no	—
1442	C₂²⋊C₄	—	2	4	no	—
1443	C₂²⋊C₄	—	2	4	no	—
1444	C₂²⋊C₄	—	2	8	no	—
1445	C₂²⋊C₄	—	2	4	no	—
1446	C₂²⋊C₄	—	2	4	no	—
1447	C₂²⋊C₄	—	2	4	no	—
1448	C₂²⋊C₄	—	2	8	no	—
1449	C₂²⋊C₄	—	2	8	no	—
1450	C₂²⋊C₄	—	2	4	no	—
1451	C₂²⋊C₄	—	2	8	no	—
1452	C₂²⋊C₄	—	2	4	no	—
1453	C₂²⋊C₄	—	2	4	no	—
1454	C₂²⋊C₄	—	2	4	no	—
1455	C₂²⋊C₄	—	2	4	no	—
1456	C₂²⋊C₄	—	2	8	no	—
1457	C₂²⋊C₄	—	2	8	no	—
1458	C₂²⋊C₄	—	2	4	no	—
1459	C₂²⋊C₄	—	2	8	no	—
1460	C₂²⋊C₄	—	2	4	no	—
1461	C₂²⋊C₄	—	2	8	no	—
1462	C₂²⋊C₄	—	2	4	no	—
1463	C₂²⋊C₄	—	2	4	no	—
1464	C₂²⋊C₄	—	2	8	no	—
1465	C₂²⋊C₄	—	2	4	no	—
1466	C₂²⋊C₄	—	2	4	no	—
1467	C₂²⋊C₄	—	2	4	no	—
1468	C₂²⋊C₄	—	2	4	no	—
1469	C₂²⋊C₄	—	2	4	no	—
1470	C₂²⋊C₄	—	2	4	no	—
1471	C₂²⋊C₄	—	2	4	no	—
1472	C₂²⋊C₄	—	2	4	no	—
1473	C₂²⋊C₄	—	4	4	no	—
1474	C₂²⋊C₄	—	4	4	no	—
1475	C₂²⋊C₄	—	4	4	no	—
1476	C₂²⋊C₄	—	4	4	no	—
1477	C₂²⋊C₄	—	4	4	no	—
1478	C₂²⋊C₄	—	4	4	no	—
1479	C₂²⋊C₄	—	4	4	no	—
1480	C₂²⋊C₄	—	4	4	no	—
1481	C₂²⋊C₄	—	4	4	no	—
1482	C₂²⋊C₄	—	4	4	no	—
1483	C₂²⋊C₄	—	4	4	no	—
1484	C₂²⋊C₄	—	4	4	no	—
1485	C₂²⋊C₄	—	4	4	no	—
1486	C₂²⋊C₄	—	4	4	no	—
1487	C₂²⋊C₄	—	4	4	no	—
1488	C₂²⋊C₄	—	4	4	no	—
1489	C₂²⋊C₄	—	4	4	no	—
1490	C₂²⋊C₄	—	4	4	no	—
1491	C₂²⋊C₄	—	4	4	no	—
1492	C₂²⋊C₄	—	4	4	no	—
1493	C₂²⋊C₄	—	4	4	no	—
1494	C₂²⋊C₄	—	4	4	no	—
1495	C₂²⋊C₄	—	4	4	no	—
1496	C₂²⋊C₄	—	4	4	no	—
1497	C₂²⋊C₄	—	4	4	no	—
1498	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1499	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1500	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1501	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1502	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1503	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1504	C₄²	—	2	4	no	—
1505	C₄²	—	2	4	no	—
1506	C₄²	—	2	8	no	—
1507	C₄²	—	2	4	no	—
1508	C₄²	—	2	4	no	—
1509	C₄²	—	2	4	no	—
1510	C₄²	—	2	4	no	—
1511	C₄²	—	2	4	no	—
1512	C₄²	—	2	4	no	—
1513	C₄²	—	2	4	no	—
1514	C₄²	—	4	4	no	—
1515	C₄²	—	4	4	no	—
1516	C₄²	—	4	4	no	—
1517	C₄²	—	4	4	no	—
1518	C₄²	—	4	4	no	—
1519	C₄²	C₂²×D₄	1	4	yes	—
1520	C₄²	C₂²×D₄	1	4	yes	—
1521	C₄²	C₂²×D₄	1	4	yes	—
1522	C₄²	C₂²×D₄	1	4	yes	—
1523	C₂³	—	2	2	no	—
1524	C₂³	—	2	2	no	—
1525	C₂³	—	2	8	no	—
1526	C₂³	—	2	2	no	—
1527	C₂³	—	2	2	no	—
1528	C₂³	—	2	2	no	—
1529	C₂³	—	2	2	no	—
1530	C₂³	—	2	4	no	—
1531	C₂³	—	2	2	no	—
1532	C₂³	—	2	2	no	—
1533	C₂³	—	2	4	no	—
1534	C₂³	—	2	2	no	—
1535	C₂³	—	2	2	no	—
1536	C₂³	—	2	2	no	—
1537	C₂³	—	2	4	no	—
1538	C₂³	—	2	2	no	—
1539	C₂³	—	2	4	no	—
1540	C₂³	—	2	8	no	—
1541	C₂³	—	2	8	no	—
1542	C₂³	—	2	2	no	—
1543	C₂³	—	2	2	no	—
1544	C₂³	—	2	2	no	—
1545	C₂³	—	2	2	no	—
1546	C₂³	—	2	4	no	—
1547	C₂³	—	2	2	no	—
1548	C₂³	—	2	2	no	—
1549	C₂³	—	2	4	no	—
1550	C₂³	—	2	4	no	—
1551	C₂³	—	2	4	no	—
1552	C₂³	—	4	8	no	—
1553	C₂³	—	4	4	no	—
1554	C₂³	—	4	4	no	—
1555	C₂³	—	4	8	no	—
1556	C₂³	—	4	8	no	—
1557	C₂³	—	4	16	no	—
1558	C₂³	—	4	16	no	—
1559	C₂³	—	4	16	no	—
1560	C₂³	—	4	4	no	—
1561	C₂³	—	4	4	no	—
1562	C₂³	—	4	4	no	—
1563	C₂³	—	4	8	no	—
1564	C₂³	—	4	4	no	—
1565	C₂³	—	4	4	no	—
1566	C₂³	—	4	4	no	—
1567	C₂³	—	4	4	no	—
1568	C₂³	—	8	4	no	—
1569	C₂³	—	8	4	no	—
1570	C₂³	—	8	4	no	—
1571	C₂³	—	8	4	no	—
1572	C₂³	—	8	8	no	—
1573	C₂³	—	8	8	no	—
1574	C₂³	—	8	8	no	—
1575	C₂³	—	8	8	no	—
1576	C₂³	—	8	64	no	—
1577	C₂³	C₂³×D₄	1	4	yes	—
1578	C₂³	C₂³×D₄	1	2	yes	—
1579	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1580	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1581	C₂³	#585	1	4	yes	—
1582	C₂³	#585	1	2	yes	—
1583	C₂³	C₂⁶	1	1	yes	characteristic
1584	Q₈	—	8	2	no	—
1585	Q₈	—	8	2	no	—
1586	Q₈	—	8	2	no	—
1587	Q₈	—	8	4	no	—
1588	Q₈	—	8	4	no	—
1589	Q₈	—	8	4	no	—
1590	Q₈	—	8	8	no	—
1591	D₄	—	4	8	no	—
1592	D₄	—	4	8	no	—
1593	D₄	—	4	16	no	—
1594	D₄	—	4	8	no	—
1595	D₄	—	8	2	no	—
1596	D₄	—	8	4	no	—
1597	D₄	—	8	4	no	—
1598	D₄	—	8	8	no	—
1599	D₄	—	8	8	no	—
1600	D₄	—	8	8	no	—
1601	D₄	—	8	8	no	—
1602	C₂×C₄	—	2	2	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	2	no	—
1610	C₂×C₄	—	2	2	no	—
1611	C₂×C₄	—	2	2	no	—
1612	C₂×C₄	—	2	4	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	8	no	—
1615	C₂×C₄	—	2	8	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	2	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	2	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	4	no	—
1630	C₂×C₄	—	2	2	no	—
1631	C₂×C₄	—	2	4	no	—
1632	C₂×C₄	—	2	4	no	—
1633	C₂×C₄	—	2	4	no	—
1634	C₂×C₄	—	2	4	no	—
1635	C₂×C₄	—	2	4	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	4	no	—
1638	C₂×C₄	—	2	4	no	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	2	no	—
1641	C₂×C₄	—	2	4	no	—
1642	C₂×C₄	—	2	2	no	—
1643	C₂×C₄	—	2	2	no	—
1644	C₂×C₄	—	2	2	no	—
1645	C₂×C₄	—	2	4	no	—
1646	C₂×C₄	—	2	4	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	4	no	—
1649	C₂×C₄	—	2	4	no	—
1650	C₂×C₄	—	2	4	no	—
1651	C₂×C₄	—	2	4	no	—
1652	C₂×C₄	—	2	2	no	—
1653	C₂×C₄	—	2	4	no	—
1654	C₂×C₄	—	2	4	no	—
1655	C₂×C₄	—	2	2	no	—
1656	C₂×C₄	—	4	4	no	—
1657	C₂×C₄	—	4	4	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	4	4	no	—
1660	C₂×C₄	—	4	16	no	—
1661	C₂×C₄	—	4	8	no	—
1662	C₂×C₄	—	4	8	no	—
1663	C₂×C₄	—	4	4	no	—
1664	C₂×C₄	—	4	4	no	—
1665	C₂×C₄	—	4	4	no	—
1666	C₂×C₄	—	4	4	no	—
1667	C₂×C₄	—	4	4	no	—
1668	C₂×C₄	—	8	4	no	—
1669	C₂×C₄	—	8	4	no	—
1670	C₂×C₄	—	8	4	no	—
1671	C₂×C₄	—	8	4	no	—
1672	C₂×C₄	—	8	4	no	—
1673	C₂×C₄	—	8	4	no	—
1674	C₂×C₄	—	8	4	no	—
1675	C₂×C₄	—	8	8	no	—
1676	C₂×C₄	—	8	4	no	—
1677	C₂×C₄	—	8	4	no	—
1678	C₂×C₄	—	16	4	no	—
1679	C₂×C₄	C₂³×D₄	1	2	yes	—
1680	C₂×C₄	C₂³×D₄	1	4	yes	—
1681	C₂×C₄	C₂³×D₄	1	2	yes	—
1682	C₂×C₄	C₂³×D₄	1	2	yes	—
1683	C₂×C₄	C₂³×D₄	1	2	yes	—
1684	C₂×C₄	C₂³×D₄	1	4	yes	—
1685	C₂×C₄	C₂³×D₄	1	4	yes	—
1686	C₂×C₄	C₂³×D₄	1	2	yes	—
1687	C₂×C₄	C₂³×D₄	1	2	yes	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	2	no	—
1690	C₂²	—	2	4	no	—
1691	C₂²	—	2	4	no	—
1692	C₂²	—	2	4	no	—
1693	C₂²	—	2	4	no	—
1694	C₂²	—	2	4	no	—
1695	C₂²	—	2	4	no	—
1696	C₂²	—	2	4	no	—
1697	C₂²	—	2	8	no	—
1698	C₂²	—	2	4	no	—
1699	C₂²	—	2	4	no	—
1700	C₂²	—	4	16	no	—
1701	C₂²	—	4	16	no	—
1702	C₂²	—	4	2	no	—
1703	C₂²	—	4	2	no	—
1704	C₂²	—	4	2	no	—
1705	C₂²	—	4	2	no	—
1706	C₂²	—	4	2	no	—
1707	C₂²	—	4	4	no	—
1708	C₂²	—	4	4	no	—
1709	C₂²	—	4	4	no	—
1710	C₂²	—	4	2	no	—
1711	C₂²	—	4	2	no	—
1712	C₂²	—	4	2	no	—
1713	C₂²	—	4	2	no	—
1714	C₂²	—	4	2	no	—
1715	C₂²	—	4	2	no	—
1716	C₂²	—	4	2	no	—
1717	C₂²	—	4	4	no	—
1718	C₂²	—	4	4	no	—
1719	C₂²	—	4	4	no	—
1720	C₂²	—	4	4	no	—
1721	C₂²	—	8	8	no	—
1722	C₂²	—	8	8	no	—
1723	C₂²	—	8	32	no	—
1724	C₂²	#3489	1	4	yes	—
1725	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1726	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1727	C₂²	C₂×#585	1	1	yes	characteristic
1728	C₂²	C₂×#585	1	2	yes	—
1729	C₂²	H(7,𝔽₂)	1	2	yes	—
1730	C₄	—	2	4	no	—
1731	C₄	—	2	2	no	—
1732	C₄	—	2	2	no	—
1733	C₄	—	2	2	no	—
1734	C₄	—	2	2	no	—
1735	C₄	—	2	4	no	—
1736	C₄	—	2	2	no	—
1737	C₄	—	2	2	no	—
1738	C₄	—	2	4	no	—
1739	C₄	—	4	2	no	—
1740	C₄	—	4	2	no	—
1741	C₄	—	4	2	no	—
1742	C₄	—	4	2	no	—
1743	C₄	—	4	2	no	—
1744	C₄	—	4	2	no	—
1745	C₄	—	4	2	no	—
1746	C₄	—	4	2	no	—
1747	C₄	—	4	2	no	—
1748	C₄	—	4	2	no	—
1749	C₄	—	4	2	no	—
1750	C₄	—	4	2	no	—
1751	C₄	—	4	4	no	—
1752	C₄	—	4	4	no	—
1753	C₄	—	4	4	no	—
1754	C₄	—	4	4	no	—
1755	C₂	—	2	4	no	—
1756	C₂	—	4	4	no	—
1757	C₂	—	4	4	no	—
1758	C₂	—	4	4	no	—
1759	C₂	—	8	2	no	—
1760	C₂	—	8	2	no	—
1761	C₂	C₂×#3489	1	1	yes	characteristic
1762	C₂	#62811	1	1	yes	characteristic
1763	C₂	#62852	1	1	yes	characteristic
1764	C₂	#62903	1	2	yes	—
1765	C₂	#62933	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
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. C₂×#3564	C₂	semidirect
2. C₂²×#551	C₂	semidirect
3. #51412	C₂	semidirect
4. #51410	C₂	semidirect
5. #50890	C₂	semidirect
6. #50888	C₂	semidirect
7. #44784	C₂	semidirect
8. #44367	C₂	semidirect
9. #44351	C₂	semidirect
10. #44162	C₂	semidirect
11. #39588	C₂	semidirect
12. #38917	C₂	semidirect
13. #38913	C₂	semidirect
14. #38912	C₂	semidirect
15. #37843	C₂	semidirect
16. #37833	C₂	semidirect
17. #36966	C₂	semidirect
18. #36957	C₂	semidirect
19. #36722	C₂	semidirect
20. #36711	C₂	semidirect
21. #36528	C₂	semidirect
22. #36158	C₂	semidirect
23. #35325	C₂	semidirect
24. #35302	C₂	semidirect
25. #35172	C₂	semidirect
26. #35151	C₂	semidirect
27. #35094	C₂	semidirect
28. #34988	C₂	semidirect
29. #34982	C₂	semidirect
30. #34593	C₂	semidirect
31. #34381	C₂	semidirect
33. C₂×#563	C₂²	semidirect
34. C₂×#563	C₂²	semidirect
35. C₂×#556	C₂²	semidirect
36. C₂×#554	C₂²	semidirect
37. C₂×#552	C₂²	semidirect
38. C₂×#552	C₂²	semidirect
46. C₂×#544	C₂²	semidirect
48. C₂×#542	C₂²	semidirect
49. C₂×#541	C₂²	semidirect
50. C₂×#541	C₂²	semidirect
51. C₂×#539	C₂²	semidirect
52. C₂×#539	C₂²	semidirect
54. C₂×#533	C₂²	semidirect
55. C₂×#529	C₂²	semidirect
71. #2855	C₂²	semidirect
72. #2855	C₂²	semidirect
73. #2855	C₂²	semidirect
74. #2855	C₂²	semidirect
75. #2854	C₂²	semidirect
82. #2848	C₂²	semidirect
85. #2723	C₂²	semidirect
86. #2723	C₂²	semidirect
87. #2722	C₂²	semidirect
88. #2720	C₂²	semidirect
89. #2720	C₂²	semidirect
90. #2718	C₂²	semidirect
91. #2715	C₂²	semidirect
92. #2715	C₂²	semidirect
93. #2712	C₂²	semidirect
94. #2707	C₂²	semidirect
95. #2707	C₂²	semidirect
96. #2706	C₂²	semidirect
97. #2705	C₂²	semidirect
98. #2705	C₂²	semidirect
99. #2704	C₂²	semidirect
100. #2700	C₂²	semidirect
101. #2700	C₂²	semidirect
102. #2698	C₂²	semidirect
103. #2696	C₂²	semidirect
104. #2695	C₂²	semidirect
105. #2694	C₂²	semidirect
106. #2694	C₂²	semidirect
107. #2694	C₂²	semidirect
108. #2692	C₂²	semidirect
111. #2683	C₂²	semidirect
112. #2682	C₂²	semidirect
113. #2681	C₂²	semidirect
114. #2680	C₂²	semidirect
116. #2677	C₂²	semidirect
117. #2676	C₂²	semidirect
118. #2674	C₂²	semidirect
119. #2674	C₂²	semidirect
120. #2674	C₂²	semidirect
121. #2674	C₂²	semidirect
122. #2672	C₂²	semidirect
123. #2672	C₂²	semidirect
125. #2636	C₂²	semidirect
126. #2633	C₂²	semidirect
127. #2631	C₂²	semidirect
128. #2629	C₂²	semidirect
129. #2628	C₂²	semidirect
135. #2626	C₂²	semidirect
136. #2626	C₂²	semidirect
137. #2626	C₂²	semidirect
138. #2623	C₂²	semidirect
139. #2623	C₂²	semidirect
141. #2621	C₂²	semidirect
142. #2620	C₂²	semidirect
144. #2617	C₂²	semidirect
146. #2611	C₂²	semidirect
147. #2609	C₂²	semidirect
148. #2601	C₂²	semidirect
149. #2599	C₂²	semidirect
150. #2583	C₂²	semidirect
151. #2583	C₂²	semidirect
152. #2580	C₂²	semidirect
153. #2580	C₂²	semidirect
154. #2579	C₂²	semidirect
155. #2579	C₂²	semidirect
156. #2566	C₂²	semidirect
157. #2563	C₂²	semidirect
159. #2561	C₂²	semidirect
160. #2558	C₂²	semidirect
161. #2556	C₂²	semidirect
162. #2554	C₂²	semidirect
163. #2553	C₂²	semidirect
164. #2553	C₂²	semidirect
165. #2542	C₂²	semidirect
166. #2542	C₂²	semidirect
168. #2538	C₂²	semidirect
170. #2534	C₂²	semidirect
171. #2496	C₂²	semidirect
172. #2489	C₂²	semidirect
173. #2484	C₂²	semidirect
177. #2482	C₂²	semidirect
178. #2480	C₂²	semidirect
179. #2480	C₂²	semidirect
180. #2480	C₂²	semidirect
181. #2479	C₂²	semidirect
182. #2478	C₂²	semidirect
183. #2477	C₂²	semidirect
184. #2475	C₂²	semidirect
186. #2472	C₂²	semidirect
187. #2472	C₂²	semidirect
188. #2471	C₂²	semidirect
189. #2471	C₂²	semidirect
190. #2470	C₂²	semidirect
191. #2466	C₂²	semidirect
192. #2465	C₂²	semidirect
193. #2463	C₂²	semidirect
194. #2463	C₂²	semidirect
195. #2460	C₂²	semidirect
196. #2460	C₂²	semidirect
197. #2458	C₂²	semidirect
198. #2455	C₂²	semidirect
199. #2452	C₂²	semidirect
200. #2452	C₂²	semidirect
201. #2449	C₂²	semidirect
202. #2441	C₂²	semidirect
203. #2441	C₂²	semidirect
204. #2439	C₂²	semidirect
205. #2439	C₂²	semidirect
206. #2437	C₂²	semidirect
207. #2437	C₂²	semidirect
208. #2437	C₂²	semidirect
209. #2437	C₂²	semidirect
210. #2437	C₂²	semidirect
212. #2434	C₂²	semidirect
213. #2429	C₂²	semidirect
214. #2427	C₂²	semidirect
216. #2424	C₂²	semidirect
217. #2422	C₂²	semidirect
218. #2418	C₂²	semidirect
219. #2418	C₂²	semidirect
220. #2415	C₂²	semidirect
221. #2413	C₂²	semidirect
223. #2412	C₂²	semidirect
227. #2411	C₂²	semidirect
229. #2409	C₂²	semidirect
232. #2398	C₂²	semidirect
233. #2397	C₂²	semidirect
234. #2392	C₂²	semidirect
235. #2383	C₂²	semidirect
236. #2373	C₂²	semidirect
237. #2367	C₂²	semidirect
238. #2361	C₂²	semidirect
239. #2358	C₂²	semidirect
240. #2345	C₂²	semidirect
241. #2344	C₂²	semidirect
244. #2342	C₂²	semidirect
245. #2334	C₂²	semidirect
246. #2334	C₂²	semidirect
247. #2324	C₂²	semidirect
248. #2323	C₂²	semidirect
249. #2323	C₂²	semidirect
250. #2323	C₂²	semidirect
253. #2317	C₂²	semidirect
254. #2317	C₂²	semidirect
255. #2316	C₂²	semidirect
258. #2313	C₂²	semidirect
261. C₄×#123	C₂²	semidirect
264. C₄×#120	C₂²	semidirect
265. #2285	C₂²	semidirect
266. #2283	C₂²	semidirect
300. C₂×C₄⋊Q₈	C₂³	semidirect
301. C₂×C₄⋊Q₈	C₂³	semidirect
302. C₂×C₄⋊Q₈	C₂³	semidirect
303. C₂×C₄⋊Q₈	C₂³	semidirect
304. C₂×C₄⋊Q₈	C₂³	semidirect
305. C₂×C₄⋊Q₈	C₂³	semidirect
308. C₂×#126	D₄	semidirect
320. C₂×#126	C₂³	semidirect
321. C₂×#126	C₂³	semidirect
322. C₂×#126	C₂³	semidirect
323. C₂×#126	C₂³	semidirect
324. C₂×#125	C₂³	semidirect
325. C₂×#125	C₂³	semidirect
326. C₂×#125	C₂³	semidirect
327. C₂×#125	C₂³	semidirect
328. C₂×#125	C₂³	semidirect
329. C₂×#125	C₂³	semidirect
330. C₂×#125	C₂³	semidirect
331. C₂×#125	C₂³	semidirect
332. C₂×#125	C₂³	semidirect
333. C₂×#125	C₂³	semidirect
341. C₂×#124	C₂³	semidirect
360. C₂×#123	C₂³	semidirect
384. C₂×C₂²⋊Q₈	C₂³	semidirect
385. C₂×C₂²⋊Q₈	C₂³	semidirect
386. C₂×C₂²⋊Q₈	C₂³	semidirect
387. C₂×C₂²⋊Q₈	C₂³	semidirect
388. C₂×C₂²⋊Q₈	C₂³	semidirect
389. C₂×C₂²⋊Q₈	C₂³	semidirect
390. C₂×C₂²⋊Q₈	C₂³	semidirect
405. C₂×C₄×Q₈	C₂³	semidirect
406. C₂×C₄×Q₈	C₂³	semidirect
407. C₂×C₄×Q₈	C₂³	semidirect
408. C₂×C₄×Q₈	C₂³	semidirect
409. C₂×C₄×Q₈	C₂³	semidirect
410. C₂×C₄×Q₈	C₂³	semidirect
426. C₂×C₄×D₄	C₂³	semidirect
427. C₂×C₄×D₄	C₂³	semidirect
442. C₂×#117	C₂³	semidirect
443. C₂×#117	C₂³	semidirect
452. C₂²×C₄⋊C₄	C₂³	semidirect
480. #400	C₂³	semidirect
481. #400	C₂³	semidirect
482. #400	C₂³	semidirect
490. #399	C₂³	semidirect
491. #399	C₂³	semidirect
492. #399	C₂³	semidirect
493. #399	C₂³	semidirect
494. #399	C₂³	semidirect
495. #399	C₂³	semidirect
496. #398	C₂³	semidirect
497. #398	C₂³	semidirect
498. #398	C₂³	semidirect
499. #398	C₂³	semidirect
500. #398	C₂³	semidirect
501. #398	C₂³	semidirect
502. #398	C₂³	semidirect
503. #398	C₂³	semidirect
513. #397	C₂³	semidirect
514. #397	C₂³	semidirect
515. #397	C₂³	semidirect
516. #397	C₂³	semidirect
517. #397	C₂³	semidirect
528. #396	C₂³	semidirect
529. #396	C₂³	semidirect
530. #396	C₂³	semidirect
531. #396	C₂³	semidirect
532. #396	C₂³	semidirect
533. #396	C₂³	semidirect
534. #396	C₂³	semidirect
535. #396	C₂³	semidirect
536. #395	C₂³	semidirect
537. #395	C₂³	semidirect
538. #395	C₂³	semidirect
539. #395	C₂³	semidirect
540. #395	C₂³	semidirect
556. #394	C₂³	semidirect
557. #394	C₂³	semidirect
558. #394	C₂³	semidirect
565. #393	C₂³	semidirect
566. #393	C₂³	semidirect
567. #393	C₂³	semidirect
568. #393	C₂³	semidirect
569. #393	C₂³	semidirect
575. #392	C₂³	semidirect
576. #391	C₂³	semidirect
577. #391	C₂³	semidirect
578. #391	C₂³	semidirect
579. #391	C₂³	semidirect
580. #391	C₂³	semidirect
581. #391	C₂³	semidirect
592. #390	C₂³	semidirect
593. #390	C₂³	semidirect
594. #389	C₂³	semidirect
595. #389	C₂³	semidirect
596. #389	C₂³	semidirect
597. #389	C₂³	semidirect
598. #389	C₂³	semidirect
599. #389	C₂³	semidirect
600. #389	C₂³	semidirect
601. #389	C₂³	semidirect
602. #389	C₂³	semidirect
603. #389	C₂³	semidirect
604. #389	C₂³	semidirect
605. #389	C₂³	semidirect
606. #389	C₂³	semidirect
607. #389	C₂³	semidirect
608. #389	C₂³	semidirect
609. #389	C₂³	semidirect
610. #389	C₂³	semidirect
611. #389	C₂³	semidirect
631. #388	C₂³	semidirect
632. #388	C₂³	semidirect
633. #388	C₂³	semidirect
634. #388	C₂³	semidirect
635. #388	C₂³	semidirect
636. #388	C₂³	semidirect
637. #388	C₂³	semidirect
638. #388	C₂³	semidirect
639. #388	C₂³	semidirect
640. #387	C₂³	semidirect
641. #387	C₂³	semidirect
642. #387	C₂³	semidirect
643. #387	C₂³	semidirect
644. #387	C₂³	semidirect
645. #387	C₂³	semidirect
646. #387	C₂³	semidirect
647. #387	C₂³	semidirect
648. #387	C₂³	semidirect
649. #387	C₂³	semidirect
650. #387	C₂³	semidirect
651. #387	C₂³	semidirect
652. #387	C₂³	semidirect
653. #387	C₂³	semidirect
654. #387	C₂³	semidirect
655. #387	C₂³	semidirect
671. #386	C₂³	semidirect
672. #386	C₂³	semidirect
703. #385	C₂³	semidirect
704. #385	C₂³	semidirect
705. #385	C₂³	semidirect
706. #385	C₂³	semidirect
707. #385	C₂³	semidirect
708. #384	C₂³	semidirect
709. #384	C₂³	semidirect
710. #384	C₂³	semidirect
711. #383	C₂³	semidirect
712. #382	C₂³	semidirect
713. #382	C₂³	semidirect
714. #382	C₂³	semidirect
715. #382	C₂³	semidirect
740. #380	C₂³	semidirect
755. C₄×C₄⋊C₄	C₂³	semidirect
756. C₄×C₄⋊C₄	C₂³	semidirect
757. C₄×C₄⋊C₄	C₂³	semidirect
758. C₄×C₄⋊C₄	C₂³	semidirect
759. C₄×C₄⋊C₄	C₂³	semidirect
760. C₄×C₄⋊C₄	C₂³	semidirect
770. C₄×C₂²⋊C₄	C₂³	semidirect
771. C₄×C₂²⋊C₄	C₂³	semidirect
772. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3564	2
C₂²×#551	2
#51412	2
#51410	2
#50890	2
#50888	2
#44784	2
#44367	2
#44351	2
#44162	2
#39588	2
#38917	2
#38913	2
#38912	2
#37843	2
#37833	2
#36966	2
#36957	2
#36722	2
#36711	2
#36528	2
#36158	2
#35325	2
#35302	2
#35172	2
#35151	2
#35094	2
#34988	2
#34982	2
#34593	2
#34381	2