Subgroups — #7719978

Order 512.

4684 conjugacy classes of subgroups.

The subgroup lattice has 2543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#51953	C₂	1	2	yes	maximal, complemented
2	#51950	C₂	1	2	yes	maximal, complemented
3	#51928	C₂	1	2	yes	maximal, complemented
4	#51925	C₂	1	2	yes	maximal, complemented
5	#50258	C₂	1	2	yes	maximal, complemented
6	#49648	C₂	1	2	yes	maximal, complemented
7	#49072	C₂	1	2	yes	maximal, complemented
8	#48261	C₂	1	2	yes	maximal, complemented
9	#44381	C₂	1	2	yes	maximal, complemented
10	#44306	C₂	1	2	yes	maximal, complemented
11	#44217	C₂	1	2	yes	maximal, complemented
12	#44132	C₂	1	2	yes	maximal, complemented
13	#43972	C₂	1	2	yes	maximal, complemented
14	#43945	C₂	1	2	yes	maximal, complemented
15	#43386	C₂	1	2	yes	maximal, complemented
16	#43186	C₂	1	2	yes	maximal, complemented
17	#39811	C₂	1	1	yes	maximal, characteristic, complemented
18	#39810	C₂	1	1	yes	maximal, characteristic, complemented
19	#39741	C₂	1	1	yes	maximal, characteristic, complemented
20	#39727	C₂	1	1	yes	maximal, characteristic, complemented
21	#39718	C₂	1	1	yes	maximal, characteristic, complemented
22	#39673	C₂	1	1	yes	maximal, characteristic, complemented
23	#39672	C₂	1	1	yes	maximal, characteristic, complemented
24	#39626	C₂	1	1	yes	maximal, characteristic, complemented
25	#37799	C₂	1	1	yes	maximal, characteristic, complemented
26	#37799	C₂	1	1	yes	maximal, characteristic, complemented
27	#37797	C₂	1	1	yes	maximal, characteristic, complemented
28	#37794	C₂	1	1	yes	maximal, characteristic, complemented
29	#37405	C₂	1	1	yes	maximal, characteristic, complemented
30	#37368	C₂	1	1	yes	maximal, characteristic, complemented
31	#37368	C₂	1	1	yes	maximal, characteristic, complemented
32	#37352	C₂	1	1	yes	maximal, characteristic, complemented
33	#36609	C₂	1	1	yes	maximal, characteristic, complemented
34	#36555	C₂	1	1	yes	maximal, characteristic, complemented
35	#36139	C₂	1	1	yes	maximal, characteristic, complemented
36	#36116	C₂	1	1	yes	maximal, characteristic, complemented
37	#35343	C₂	1	1	yes	maximal, characteristic, complemented
38	#35324	C₂	1	1	yes	maximal, characteristic, complemented
39	#35318	C₂	1	1	yes	maximal, characteristic, complemented
40	#35290	C₂	1	1	yes	maximal, characteristic, complemented
41	#35268	C₂	1	1	yes	maximal, characteristic, complemented
42	#35186	C₂	1	1	yes	maximal, characteristic, complemented
43	#35117	C₂	1	1	yes	maximal, characteristic, complemented
44	#34624	C₂	1	1	yes	maximal, characteristic
45	#34499	C₂	1	1	yes	maximal, characteristic, complemented
46	#34498	C₂	1	1	yes	maximal, characteristic, complemented
47	#34145	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#559	C₂²	1	1	yes	characteristic
49	C₂×#556	C₂²	1	1	yes	characteristic
50	C₂×#542	C₂²	1	1	yes	characteristic
51	C₂×#541	C₂²	1	1	yes	characteristic
52	C₂×#533	C₂²	1	1	yes	characteristic
53	C₂×#532	C₂²	1	1	yes	characteristic
54	C₂×#529	C₂²	1	1	yes	characteristic
55	C₂×#529	C₂²	1	1	yes	characteristic
56	C₂×#529	C₂²	1	1	yes	characteristic
57	#2864	C₂²	1	1	yes	characteristic
58	#2864	C₂²	1	1	yes	characteristic
59	#2863	C₂²	1	1	yes	characteristic
60	#2862	C₂²	1	1	yes	characteristic
61	#2862	C₂²	1	1	yes	characteristic
62	#2861	C₂²	1	1	yes	characteristic
63	#2861	C₂²	1	1	yes	characteristic
64	#2861	C₂²	1	1	yes	characteristic
65	#2860	C₂²	1	1	yes	characteristic
66	#2860	C₂²	1	1	yes	characteristic
67	#2860	C₂²	1	1	yes	characteristic
68	#2859	C₂²	1	1	yes	characteristic
69	#2858	C₂²	1	1	yes	characteristic
70	#2858	C₂²	1	1	yes	characteristic
71	#2857	C₂²	1	1	yes	characteristic
72	#2855	C₂²	1	1	yes	characteristic
73	#2855	C₂²	1	1	yes	characteristic
74	#2855	C₂²	1	1	yes	characteristic
75	#2854	C₂²	1	1	yes	characteristic
76	#2850	C₂²	1	1	yes	characteristic
77	#2806	C₂²	1	2	yes	—
78	#2806	C₂²	1	2	yes	—
79	#2801	C₂²	1	2	yes	—
80	#2801	C₂²	1	2	yes	—
81	#2798	C₂²	1	2	yes	—
82	#2798	C₂²	1	2	yes	—
83	#2797	C₂²	1	2	yes	—
84	#2795	C₂²	1	2	yes	—
85	#2795	C₂²	1	2	yes	—
86	#2792	C₂²	1	2	yes	—
87	#2792	C₂²	1	2	yes	—
88	#2792	C₂²	1	2	yes	—
89	#2791	C₂²	1	2	yes	—
90	#2784	C₂²	1	2	yes	—
91	#2780	C₂²	1	2	yes	—
92	#2779	C₂²	1	2	yes	—
93	#2779	C₂²	1	2	yes	—
94	#2775	C₂²	1	2	yes	—
95	#2774	C₂²	1	2	yes	—
96	#2773	C₂²	1	2	yes	—
97	#2773	C₂²	1	2	yes	—
98	#2772	C₂²	1	2	yes	—
99	#2765	C₂²	1	2	yes	—
100	#2763	C₂²	1	2	yes	—
101	#2759	C₂²	1	2	yes	—
102	#2759	C₂²	1	2	yes	—
103	#2755	C₂²	1	2	yes	—
104	#2754	C₂²	1	2	yes	—
105	#2754	C₂²	1	2	yes	—
106	#2754	C₂²	1	2	yes	—
107	#2752	C₂²	1	2	yes	—
108	#2748	C₂²	1	2	yes	—
109	#2747	C₂²	1	2	yes	—
110	#2746	C₂²	1	2	yes	—
111	#2746	C₂²	1	2	yes	—
112	#2745	C₂²	1	2	yes	—
113	#2742	C₂²	1	2	yes	—
114	#2741	C₂²	1	2	yes	—
115	#2741	C₂²	1	2	yes	—
116	#2738	C₂²	1	2	yes	—
117	#2731	C₂²	1	2	yes	—
118	#2730	C₂²	1	2	yes	—
119	#2730	C₂²	1	2	yes	—
120	#2730	C₂²	1	2	yes	—
121	#2729	C₂²	1	2	yes	—
122	#2727	C₂²	1	2	yes	—
123	#2725	C₂²	1	2	yes	—
124	#2725	C₂²	1	2	yes	—
125	#2725	C₂²	1	2	yes	—
126	#2725	C₂²	1	2	yes	—
127	#2723	C₂²	1	2	yes	—
128	#2721	C₂²	1	2	yes	—
129	#2721	C₂²	1	2	yes	—
130	#2718	C₂²	1	2	yes	—
131	#2718	C₂²	1	2	yes	—
132	#2718	C₂²	1	2	yes	—
133	#2718	C₂²	1	2	yes	—
134	#2718	C₂²	1	2	yes	—
135	#2718	C₂²	1	2	yes	—
136	#2716	C₂²	1	2	yes	—
137	#2715	C₂²	1	2	yes	—
138	#2712	C₂²	1	2	yes	—
139	#2710	C₂²	1	2	yes	—
140	#2710	C₂²	1	2	yes	—
141	#2706	C₂²	1	2	yes	—
142	#2705	C₂²	1	2	yes	—
143	#2705	C₂²	1	2	yes	—
144	#2702	C₂²	1	2	yes	—
145	#2702	C₂²	1	2	yes	—
146	#2702	C₂²	1	2	yes	—
147	#2702	C₂²	1	2	yes	—
148	#2701	C₂²	1	2	yes	—
149	#2698	C₂²	1	2	yes	—
150	#2696	C₂²	1	2	yes	—
151	#2692	C₂²	1	2	yes	—
152	#2687	C₂²	1	2	yes	—
153	#2687	C₂²	1	2	yes	—
154	#2686	C₂²	1	2	yes	—
155	#2674	C₂²	1	2	yes	—
156	#2674	C₂²	1	2	yes	—
157	#2662	C₂²	1	2	yes	—
158	#2662	C₂²	1	2	yes	—
159	#2661	C₂²	1	2	yes	—
160	#2661	C₂²	1	2	yes	—
161	#2660	C₂²	1	1	yes	characteristic
162	#2660	C₂²	1	1	yes	characteristic
163	#2658	C₂²	1	1	yes	characteristic
164	#2657	C₂²	1	1	yes	characteristic
165	#2651	C₂²	1	2	yes	—
166	#2651	C₂²	1	2	yes	—
167	#2650	C₂²	1	2	yes	—
168	#2647	C₂²	1	1	yes	characteristic
169	#2645	C₂²	1	1	yes	characteristic
170	#2645	C₂²	1	1	yes	characteristic
171	#2641	C₂²	1	1	yes	characteristic
172	#2640	C₂²	1	1	yes	characteristic
173	#2640	C₂²	1	1	yes	characteristic
174	#2637	C₂²	1	2	yes	—
175	#2628	C₂²	1	1	yes	characteristic
176	#2624	C₂²	1	1	yes	characteristic
177	#2624	C₂²	1	1	yes	characteristic
178	#2621	C₂²	1	1	yes	characteristic
179	#2620	C₂²	1	1	yes	characteristic
180	#2620	C₂²	1	1	yes	characteristic
181	#2620	C₂²	1	1	yes	characteristic
182	#2620	C₂²	1	1	yes	characteristic
183	#2619	C₂²	1	1	yes	characteristic
184	#2619	C₂²	1	1	yes	characteristic
185	#2607	C₂²	1	2	yes	—
186	#2602	C₂²	1	2	yes	—
187	#2602	C₂²	1	2	yes	—
188	#2602	C₂²	1	2	yes	—
189	#2602	C₂²	1	2	yes	—
190	#2602	C₂²	1	2	yes	—
191	#2601	C₂²	1	2	yes	—
192	#2601	C₂²	1	2	yes	—
193	#2601	C₂²	1	2	yes	—
194	#2601	C₂²	1	2	yes	—
195	#2592	C₂²	1	1	yes	characteristic
196	#2592	C₂²	1	1	yes	characteristic
197	#2592	C₂²	1	2	yes	—
198	#2592	C₂²	1	1	yes	characteristic
199	#2592	C₂²	1	1	yes	characteristic
200	#2590	C₂²	1	2	yes	—
201	#2589	C₂²	1	2	yes	—
202	#2588	C₂²	1	2	yes	—
203	#2588	C₂²	1	2	yes	—
204	#2588	C₂²	1	2	yes	—
205	#2587	C₂²	1	2	yes	—
206	#2587	C₂²	1	2	yes	—
207	#2586	C₂²	1	2	yes	—
208	#2585	C₂²	1	2	yes	—
209	#2582	C₂²	1	1	yes	characteristic
210	#2582	C₂²	1	1	yes	characteristic
211	#2582	C₂²	1	2	yes	—
212	#2581	C₂²	1	1	yes	characteristic
213	#2580	C₂²	1	2	yes	—
214	#2580	C₂²	1	1	yes	characteristic
215	#2579	C₂²	1	2	yes	—
216	#2575	C₂²	1	2	yes	—
217	#2575	C₂²	1	2	yes	—
218	#2575	C₂²	1	2	yes	—
219	#2574	C₂²	1	2	yes	—
220	#2573	C₂²	1	2	yes	—
221	#2572	C₂²	1	2	yes	—
222	#2568	C₂²	1	1	yes	characteristic
223	#2567	C₂²	1	2	yes	—
224	#2564	C₂²	1	2	yes	—
225	#2558	C₂²	1	2	yes	—
226	#2557	C₂²	1	2	yes	—
227	#2557	C₂²	1	2	yes	—
228	#2556	C₂²	1	2	yes	—
229	#2556	C₂²	1	2	yes	—
230	#2553	C₂²	1	2	yes	—
231	#2553	C₂²	1	2	yes	—
232	#2553	C₂²	1	2	yes	—
233	#2552	C₂²	1	1	yes	characteristic
234	#2552	C₂²	1	1	yes	characteristic
235	#2552	C₂²	1	1	yes	characteristic
236	#2551	C₂²	1	1	yes	characteristic
237	#2550	C₂²	1	1	yes	characteristic
238	#2550	C₂²	1	1	yes	characteristic
239	#2548	C₂²	1	1	yes	characteristic
240	#2548	C₂²	1	1	yes	characteristic
241	#2547	C₂²	1	1	yes	characteristic
242	#2545	C₂²	1	1	yes	characteristic
243	#2545	C₂²	1	1	yes	characteristic
244	#2544	C₂²	1	1	yes	characteristic
245	#2544	C₂²	1	1	yes	characteristic
246	#2538	C₂²	1	1	yes	characteristic
247	#2538	C₂²	1	1	yes	characteristic
248	#2536	C₂²	1	2	yes	—
249	#2532	C₂²	1	2	yes	—
250	#2529	C₂²	1	2	yes	—
251	#2528	C₂²	1	2	yes	—
252	#2528	C₂²	1	2	yes	—
253	#2527	C₂²	1	2	yes	—
254	#2527	C₂²	1	2	yes	—
255	#2525	C₂²	1	2	yes	—
256	#2522	C₂²	1	2	yes	—
257	#2522	C₂²	1	2	yes	—
258	#2521	C₂²	1	2	yes	—
259	#2521	C₂²	1	2	yes	—
260	#2521	C₂²	1	2	yes	—
261	#2521	C₂²	1	2	yes	—
262	#2521	C₂²	1	2	yes	—
263	#2519	C₂²	1	2	yes	—
264	#2519	C₂²	1	2	yes	—
265	#2517	C₂²	1	2	yes	—
266	#2516	C₂²	1	2	yes	—
267	#2516	C₂²	1	2	yes	—
268	#2516	C₂²	1	2	yes	—
269	#2515	C₂²	1	2	yes	—
270	#2513	C₂²	1	2	yes	—
271	#2513	C₂²	1	2	yes	—
272	#2512	C₂²	1	2	yes	—
273	#2507	C₂²	1	2	yes	—
274	#2497	C₂²	1	2	yes	—
275	#2496	C₂²	1	2	yes	—
276	#2486	C₂²	1	2	yes	—
277	#2479	C₂²	1	2	yes	—
278	#2478	C₂²	1	2	yes	—
279	#2478	C₂²	1	2	yes	—
280	#2475	C₂²	1	2	yes	—
281	#2475	C₂²	1	2	yes	—
282	#2474	C₂²	1	2	yes	—
283	#2471	C₂²	1	2	yes	—
284	#2471	C₂²	1	2	yes	—
285	#2469	C₂²	1	2	yes	—
286	#2468	C₂²	1	2	yes	—
287	#2468	C₂²	1	2	yes	—
288	#2468	C₂²	1	2	yes	—
289	#2468	C₂²	1	2	yes	—
290	#2468	C₂²	1	2	yes	—
291	#2467	C₂²	1	2	yes	—
292	#2467	C₂²	1	2	yes	—
293	#2467	C₂²	1	2	yes	—
294	#2467	C₂²	1	2	yes	—
295	#2466	C₂²	1	2	yes	—
296	#2466	C₂²	1	2	yes	—
297	#2466	C₂²	1	2	yes	—
298	#2465	C₂²	1	2	yes	—
299	#2463	C₂²	1	2	yes	—
300	#2461	C₂²	1	2	yes	—
301	#2461	C₂²	1	2	yes	—
302	#2460	C₂²	1	2	yes	—
303	#2459	C₂²	1	2	yes	—
304	#2459	C₂²	1	2	yes	—
305	#2459	C₂²	1	2	yes	—
306	#2458	C₂²	1	2	yes	—
307	#2455	C₂²	1	2	yes	—
308	#2454	C₂²	1	1	yes	characteristic
309	#2454	C₂²	1	1	yes	characteristic
310	#2454	C₂²	1	1	yes	characteristic
311	#2454	C₂²	1	1	yes	characteristic
312	#2453	C₂²	1	1	yes	characteristic
313	#2453	C₂²	1	1	yes	characteristic
314	#2453	C₂²	1	1	yes	characteristic
315	#2453	C₂²	1	1	yes	characteristic
316	#2452	C₂²	1	1	yes	characteristic
317	#2452	C₂²	1	1	yes	characteristic
318	#2451	C₂²	1	1	yes	characteristic
319	#2451	C₂²	1	1	yes	characteristic
320	#2451	C₂²	1	2	yes	—
321	#2450	C₂²	1	2	yes	—
322	#2449	C₂²	1	2	yes	—
323	#2449	C₂²	1	2	yes	—
324	#2448	C₂²	1	1	yes	characteristic
325	#2448	C₂²	1	1	yes	characteristic
326	#2448	C₂²	1	2	yes	—
327	#2448	C₂²	1	1	yes	characteristic
328	#2448	C₂²	1	2	yes	—
329	#2448	C₂²	1	1	yes	characteristic
330	#2447	C₂²	1	1	yes	characteristic
331	#2447	C₂²	1	1	yes	characteristic
332	#2447	C₂²	1	2	yes	—
333	#2447	C₂²	1	1	yes	characteristic
334	#2447	C₂²	1	1	yes	characteristic
335	#2446	C₂²	1	1	yes	characteristic
336	#2446	C₂²	1	1	yes	characteristic
337	#2445	C₂²	1	1	yes	characteristic
338	#2445	C₂²	1	1	yes	characteristic
339	#2443	C₂²	1	2	yes	—
340	#2441	C₂²	1	2	yes	—
341	#2441	C₂²	1	2	yes	—
342	#2439	C₂²	1	2	yes	—
343	#2432	C₂²	1	2	yes	—
344	#2429	C₂²	1	2	yes	—
345	#2425	C₂²	1	2	yes	—
346	#2423	C₂²	1	2	yes	—
347	#2419	C₂²	1	2	yes	—
348	#2419	C₂²	1	2	yes	—
349	#2415	C₂²	1	2	yes	—
350	#2415	C₂²	1	2	yes	—
351	#2406	C₂²	1	2	yes	—
352	#2406	C₂²	1	2	yes	—
353	#2392	C₂²	1	2	yes	—
354	#2392	C₂²	1	2	yes	—
355	#2388	C₂²	1	2	yes	—
356	#2388	C₂²	1	2	yes	—
357	#2383	C₂²	1	2	yes	—
358	#2378	C₂²	1	2	yes	—
359	#2376	C₂²	1	2	yes	—
360	#2376	C₂²	1	2	yes	—
361	#2373	C₂²	1	2	yes	—
362	#2370	C₂²	1	1	yes	characteristic
363	#2370	C₂²	1	1	yes	characteristic
364	#2370	C₂²	1	1	yes	characteristic
365	#2370	C₂²	1	1	yes	characteristic
366	#2369	C₂²	1	1	yes	characteristic
367	#2369	C₂²	1	1	yes	characteristic
368	#2368	C₂²	1	1	yes	characteristic
369	#2368	C₂²	1	1	yes	characteristic
370	#2368	C₂²	1	1	yes	characteristic
371	#2368	C₂²	1	1	yes	characteristic
372	#2367	C₂²	1	2	yes	—
373	#2367	C₂²	1	1	yes	characteristic
374	#2367	C₂²	1	1	yes	characteristic
375	#2367	C₂²	1	1	yes	characteristic
376	#2367	C₂²	1	2	yes	—
377	#2367	C₂²	1	1	yes	characteristic
378	#2366	C₂²	1	1	yes	characteristic
379	#2365	C₂²	1	1	yes	characteristic
380	#2365	C₂²	1	1	yes	characteristic
381	#2365	C₂²	1	1	yes	characteristic
382	#2360	C₂²	1	1	yes	characteristic
383	#2360	C₂²	1	2	yes	—
384	#2360	C₂²	1	1	yes	characteristic
385	#2360	C₂²	1	1	yes	characteristic
386	#2360	C₂²	1	1	yes	characteristic
387	#2359	C₂²	1	2	yes	—
388	#2357	C₂²	1	2	yes	—
389	#2355	C₂²	1	1	yes	characteristic
390	#2351	C₂²	1	1	yes	characteristic
391	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
392	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
393	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
394	#2349	C₂²	1	1	yes	characteristic
395	D₄×C₄⋊C₄	C₂²	1	2	yes	—
396	D₄×C₄⋊C₄	C₂²	1	2	yes	—
397	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
398	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
399	#2345	C₂²	1	2	yes	—
400	#2344	C₂²	1	2	yes	—
401	#2343	C₂²	1	2	yes	—
402	#2339	C₂²	1	2	yes	—
403	#2334	C₂²	1	2	yes	—
404	#2334	C₂²	1	2	yes	—
405	#2334	C₂²	1	2	yes	—
406	#2332	C₂²	1	2	yes	—
407	#2331	C₂²	1	1	yes	characteristic
408	#2331	C₂²	1	1	yes	characteristic
409	#2329	C₂²	1	2	yes	—
410	#2328	C₂²	1	1	yes	characteristic
411	#2328	C₂²	1	1	yes	characteristic
412	#2327	C₂²	1	1	yes	characteristic
413	#2327	C₂²	1	1	yes	characteristic
414	#2327	C₂²	1	1	yes	characteristic
415	#2326	C₂²	1	1	yes	characteristic
416	#2326	C₂²	1	1	yes	characteristic
417	#2326	C₂²	1	2	yes	—
418	#2326	C₂²	1	2	yes	—
419	#2326	C₂²	1	1	yes	characteristic
420	#2324	C₂²	1	1	yes	characteristic
421	#2323	C₂²	1	1	yes	characteristic
422	#2323	C₂²	1	1	yes	characteristic
423	#2323	C₂²	1	1	yes	characteristic
424	#2322	C₂²	1	2	yes	—
425	#2322	C₂²	1	2	yes	—
426	#2320	C₂²	1	1	yes	characteristic
427	#2319	C₂²	1	1	yes	characteristic
428	#2319	C₂²	1	2	yes	—
429	#2319	C₂²	1	2	yes	—
430	#2319	C₂²	1	1	yes	characteristic
431	#2319	C₂²	1	1	yes	characteristic
432	#2314	C₂²	1	2	yes	—
433	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
434	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
435	C₄×#127	C₂²	1	1	yes	characteristic
436	C₄×#127	C₂²	1	1	yes	characteristic
437	C₄×#124	C₂²	1	1	yes	characteristic
438	C₄×#124	C₂²	1	1	yes	characteristic
439	C₄×#124	C₂²	1	1	yes	characteristic
440	C₄×#124	C₂²	1	1	yes	characteristic
441	C₄×#121	C₂²	1	1	yes	characteristic
442	C₄×#121	C₂²	1	1	yes	characteristic
443	#2296	C₂²	1	1	yes	characteristic
444	#2296	C₂²	1	1	yes	characteristic
445	#2295	C₂²	1	1	yes	characteristic
446	#2295	C₂²	1	1	yes	characteristic
447	#2295	C₂²	1	1	yes	characteristic
448	#2295	C₂²	1	1	yes	characteristic
449	#2295	C₂²	1	1	yes	characteristic
450	#2295	C₂²	1	1	yes	characteristic
451	#2295	C₂²	1	1	yes	characteristic
452	#2295	C₂²	1	1	yes	characteristic
453	C₄²×Q₈	C₂²	1	1	yes	characteristic
454	C₄²×Q₈	C₂²	1	1	yes	characteristic
455	C₄×#117	C₂²	1	1	yes	characteristic
456	C₄×#117	C₂²	1	1	yes	characteristic
457	C₄×#117	C₂²	1	1	yes	characteristic
458	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
459	C₂²×#41	C₂³	1	2	yes	—
460	#559	—	2	8	no	—
461	#556	—	2	8	no	—
462	#542	—	4	4	no	—
463	#541	—	4	4	no	—
464	#533	—	2	8	no	—
465	#532	—	4	4	no	—
466	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
467	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
469	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
470	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
472	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
473	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
475	C₂×#127	C₂³	1	1	yes	characteristic
476	C₂×#127	C₂³	1	1	yes	characteristic
477	C₂×#127	C₂³	1	1	yes	characteristic
478	#529	—	4	4	no	—
479	#529	—	4	4	no	—
480	#529	—	4	4	no	—
481	C₂×#126	C₂³	1	2	yes	—
482	C₂×#126	C₂³	1	2	yes	—
483	C₂×#126	C₂³	1	2	yes	—
484	C₂×#126	C₂³	1	2	yes	—
485	C₂×#126	C₂³	1	2	yes	—
486	C₂×#126	C₂³	1	2	yes	—
487	C₂×#126	C₂³	1	2	yes	—
488	C₂×#126	C₂³	1	2	yes	—
489	C₂×#126	C₂³	1	2	yes	—
490	C₂×#126	C₂³	1	2	yes	—
491	C₂×#126	C₂³	1	2	yes	—
492	C₂×#125	C₂³	1	1	yes	characteristic
493	C₂×#125	C₂³	1	1	yes	characteristic
494	C₂×#125	C₂³	1	1	yes	characteristic
495	C₂×#125	C₂³	1	1	yes	characteristic
496	C₂×#125	C₂³	1	1	yes	characteristic
497	C₂×#125	C₂³	1	1	yes	characteristic
498	C₂×#125	C₂³	1	2	yes	—
499	C₂×#125	C₂³	1	2	yes	—
500	C₂×#124	C₂³	1	1	yes	characteristic
501	C₂×#124	C₂³	1	1	yes	characteristic
502	C₂×#124	C₂³	1	1	yes	characteristic
503	C₂×#124	C₂³	1	2	yes	—
504	C₂×#124	C₂³	1	1	yes	characteristic
505	C₂×#124	C₂³	1	1	yes	characteristic
506	C₂×#124	C₂³	1	2	yes	—
507	C₂×#124	C₂³	1	2	yes	—
508	C₂×#124	C₂³	1	1	yes	characteristic
509	C₂×#124	C₂³	1	1	yes	characteristic
510	C₂×#124	C₂³	1	1	yes	characteristic
511	C₂×#124	C₂³	1	1	yes	characteristic
512	C₂×#124	C₂³	1	2	yes	—
513	C₂×#124	C₂³	1	2	yes	—
514	C₂×#124	C₂³	1	2	yes	—
515	C₂×#123	C₂³	1	2	yes	—
516	C₂×#123	C₂³	1	2	yes	—
517	C₂×#123	C₂³	1	2	yes	—
518	C₂×#123	C₂³	1	2	yes	—
519	C₂×#123	C₂³	1	2	yes	—
520	C₂×#123	C₂³	1	2	yes	—
521	C₂×#123	C₂³	1	2	yes	—
522	C₂×#123	C₂³	1	2	yes	—
523	C₂×#123	C₂³	1	2	yes	—
524	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
528	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
529	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
530	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
531	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
532	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
533	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
534	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
535	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
536	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
537	C₂×#121	C₂³	1	1	yes	characteristic
538	C₂×#121	C₂³	1	1	yes	characteristic
539	C₂×#121	C₂³	1	1	yes	characteristic
540	C₂×#121	C₂³	1	2	yes	—
541	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
542	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
543	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
544	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
545	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
546	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
547	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
548	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
549	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
550	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
551	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
552	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
553	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
554	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
555	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
556	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
557	C₂×C₄×Q₈	C₂³	1	2	yes	—
558	C₂×C₄×Q₈	C₂³	1	2	yes	—
559	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
560	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
561	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
562	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
563	C₂×C₄×D₄	C₂³	1	2	yes	—
564	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
565	C₂×C₄×D₄	C₂³	1	2	yes	—
566	C₂×C₄×D₄	C₂³	1	2	yes	—
567	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
568	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
569	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
570	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
571	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
572	C₂×C₄×D₄	C₂³	1	2	yes	—
573	C₂×C₄×D₄	C₂³	1	2	yes	—
574	C₂×C₄×D₄	C₂³	1	2	yes	—
575	C₂×C₄×D₄	C₂³	1	2	yes	—
576	C₂×C₄×D₄	C₂³	1	2	yes	—
577	C₂×C₄×D₄	C₂³	1	2	yes	—
578	C₂×C₄×D₄	C₂³	1	2	yes	—
579	C₂×C₄×D₄	C₂³	1	2	yes	—
580	C₂×C₄×D₄	C₂³	1	2	yes	—
581	C₂×#117	C₂³	1	2	yes	—
582	C₂×#117	C₂³	1	1	yes	characteristic
583	C₂×#117	C₂³	1	1	yes	characteristic
584	C₂×#117	C₂³	1	1	yes	characteristic
585	C₂×#117	C₂³	1	1	yes	characteristic
586	C₂×#117	C₂³	1	2	yes	—
587	C₂×#117	C₂³	1	2	yes	—
588	C₂×#117	C₂³	1	2	yes	—
589	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
590	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
591	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
592	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
593	C₂²×C₄²	C₂³	1	1	yes	characteristic
594	C₂²×C₄²	C₂³	1	1	yes	characteristic
595	C₂²×C₄²	C₂³	1	1	yes	characteristic
596	#401	C₂³	1	2	yes	—
597	#401	C₂³	1	2	yes	—
598	#400	C₂³	1	2	yes	—
599	#400	C₂³	1	2	yes	—
600	#400	C₂³	1	2	yes	—
601	#400	C₂³	1	2	yes	—
602	#400	C₂³	1	2	yes	—
603	#400	C₂³	1	2	yes	—
604	#400	C₂³	1	2	yes	—
605	#400	C₂³	1	2	yes	—
606	#400	C₂³	1	2	yes	—
607	#400	C₂³	1	2	yes	—
608	#400	C₂³	1	2	yes	—
609	#400	C₂³	1	2	yes	—
610	#400	C₂³	1	2	yes	—
611	#400	C₂³	1	2	yes	—
612	#400	C₂³	1	2	yes	—
613	#400	C₂³	1	2	yes	—
614	#400	C₂³	1	2	yes	—
615	#400	C₂³	1	2	yes	—
616	#399	C₂³	1	2	yes	—
617	#399	C₂³	1	2	yes	—
618	#399	C₂³	1	2	yes	—
619	#399	C₂³	1	2	yes	—
620	#399	C₂³	1	2	yes	—
621	#399	C₂³	1	2	yes	—
622	#399	C₂³	1	2	yes	—
623	#399	C₂³	1	2	yes	—
624	#399	C₂³	1	2	yes	—
625	#399	C₂³	1	2	yes	—
626	#399	C₂³	1	2	yes	—
627	#399	C₂³	1	2	yes	—
628	#399	C₂³	1	2	yes	—
629	#399	C₂³	1	2	yes	—
630	#399	C₂³	1	2	yes	—
631	#399	C₂³	1	2	yes	—
632	#398	C₂³	1	2	yes	—
633	#398	C₂³	1	2	yes	—
634	#398	C₂³	1	2	yes	—
635	#398	C₂³	1	2	yes	—
636	#398	C₂³	1	2	yes	—
637	#398	C₂³	1	2	yes	—
638	#398	C₂³	1	2	yes	—
639	#398	C₂³	1	2	yes	—
640	#398	C₂³	1	2	yes	—
641	#398	C₂³	1	2	yes	—
642	#398	C₂³	1	2	yes	—
643	#398	C₂³	1	2	yes	—
644	#398	C₂³	1	2	yes	—
645	#398	C₂³	1	2	yes	—
646	#398	C₂³	1	2	yes	—
647	#398	C₂³	1	2	yes	—
648	#398	C₂³	1	2	yes	—
649	#398	C₂³	1	2	yes	—
650	#398	C₂³	1	2	yes	—
651	#398	C₂³	1	2	yes	—
652	#398	C₂³	1	2	yes	—
653	#398	C₂³	1	2	yes	—
654	#398	C₂³	1	2	yes	—
655	#398	C₂³	1	2	yes	—
656	#398	C₂³	1	2	yes	—
657	#398	C₂³	1	2	yes	—
658	#398	C₂³	1	2	yes	—
659	#398	C₂³	1	2	yes	—
660	#397	C₂³	1	2	yes	—
661	#397	C₂³	1	2	yes	—
662	#397	C₂³	1	2	yes	—
663	#397	C₂³	1	2	yes	—
664	#397	C₂³	1	2	yes	—
665	#397	C₂³	1	2	yes	—
666	#397	C₂³	1	2	yes	—
667	#397	C₂³	1	2	yes	—
668	#397	C₂³	1	2	yes	—
669	#397	C₂³	1	2	yes	—
670	#397	C₂³	1	2	yes	—
671	#397	C₂³	1	2	yes	—
672	#397	C₂³	1	2	yes	—
673	#397	C₂³	1	2	yes	—
674	#397	C₂³	1	2	yes	—
675	#397	C₂³	1	2	yes	—
676	#397	C₂³	1	2	yes	—
677	#397	C₂³	1	2	yes	—
678	#397	C₂³	1	2	yes	—
679	#397	C₂³	1	2	yes	—
680	#397	C₂³	1	2	yes	—
681	#397	C₂³	1	2	yes	—
682	#397	C₂³	1	2	yes	—
683	#397	C₂³	1	2	yes	—
684	#397	C₂³	1	2	yes	—
685	#397	C₂³	1	2	yes	—
686	#396	C₂³	1	2	yes	—
687	#396	C₂³	1	2	yes	—
688	#396	C₂³	1	2	yes	—
689	#396	C₂³	1	2	yes	—
690	#396	C₂³	1	2	yes	—
691	#396	C₂³	1	2	yes	—
692	#396	C₂³	1	2	yes	—
693	#396	C₂³	1	2	yes	—
694	#396	C₂³	1	2	yes	—
695	#396	C₂³	1	2	yes	—
696	#396	C₂³	1	2	yes	—
697	#396	C₂³	1	2	yes	—
698	#396	C₂³	1	2	yes	—
699	#396	C₂³	1	2	yes	—
700	#396	C₂³	1	2	yes	—
701	#396	C₂³	1	2	yes	—
702	#396	C₂³	1	2	yes	—
703	#396	C₂³	1	2	yes	—
704	#396	C₂³	1	2	yes	—
705	#396	C₂³	1	2	yes	—
706	#396	C₂³	1	2	yes	—
707	#396	C₂³	1	2	yes	—
708	#395	C₂³	1	2	yes	—
709	#395	C₂³	1	2	yes	—
710	#395	C₂³	1	2	yes	—
711	#395	C₂³	1	2	yes	—
712	#395	C₂³	1	2	yes	—
713	#395	C₂³	1	2	yes	—
714	#395	C₂³	1	2	yes	—
715	#395	C₂³	1	2	yes	—
716	#395	C₂³	1	2	yes	—
717	#395	C₂³	1	2	yes	—
718	#395	C₂³	1	2	yes	—
719	#395	C₂³	1	2	yes	—
720	#394	C₂³	1	2	yes	—
721	#394	C₂³	1	2	yes	—
722	#394	C₂³	1	2	yes	—
723	#394	C₂³	1	2	yes	—
724	#394	C₂³	1	2	yes	—
725	#394	C₂³	1	2	yes	—
726	#394	C₂³	1	2	yes	—
727	#394	C₂³	1	2	yes	—
728	#394	C₂³	1	2	yes	—
729	#394	C₂³	1	2	yes	—
730	#394	C₂³	1	2	yes	—
731	#394	C₂³	1	2	yes	—
732	#394	C₂³	1	2	yes	—
733	#394	C₂³	1	2	yes	—
734	#394	C₂³	1	2	yes	—
735	#394	C₂³	1	2	yes	—
736	#394	C₂³	1	2	yes	—
737	#394	C₂³	1	2	yes	—
738	#394	C₂³	1	2	yes	—
739	#394	C₂³	1	2	yes	—
740	#394	C₂³	1	2	yes	—
741	#394	C₂³	1	2	yes	—
742	#394	C₂³	1	2	yes	—
743	#394	C₂³	1	2	yes	—
744	#394	C₂³	1	2	yes	—
745	#394	C₂³	1	2	yes	—
746	#394	C₂³	1	2	yes	—
747	#394	C₂³	1	2	yes	—
748	#394	C₂³	1	2	yes	—
749	#394	C₂³	1	2	yes	—
750	#394	C₂³	1	2	yes	—
751	#394	C₂³	1	2	yes	—
752	#393	C₂³	1	2	yes	—
753	#393	C₂³	1	2	yes	—
754	#393	C₂³	1	2	yes	—
755	#393	C₂³	1	2	yes	—
756	#393	C₂³	1	2	yes	—
757	#393	C₂³	1	2	yes	—
758	#393	C₂³	1	2	yes	—
759	#393	C₂³	1	2	yes	—
760	#393	C₂³	1	2	yes	—
761	#393	C₂³	1	2	yes	—
762	#393	C₂³	1	2	yes	—
763	#393	C₂³	1	2	yes	—
764	#392	C₂³	1	2	yes	—
765	#392	C₂³	1	2	yes	—
766	#392	C₂³	1	2	yes	—
767	#392	C₂³	1	2	yes	—
768	#392	C₂³	1	2	yes	—
769	#392	C₂³	1	2	yes	—
770	#392	C₂³	1	2	yes	—
771	#392	C₂³	1	2	yes	—
772	#391	C₂³	1	2	yes	—
773	#391	C₂³	1	1	yes	characteristic
774	#391	C₂³	1	1	yes	characteristic
775	#391	C₂³	1	2	yes	—
776	#391	C₂³	1	2	yes	—
777	#391	C₂³	1	1	yes	characteristic
778	#391	C₂³	1	1	yes	characteristic
779	#391	C₂³	1	1	yes	characteristic
780	#391	C₂³	1	1	yes	characteristic
781	#391	C₂³	1	2	yes	—
782	#391	C₂³	1	1	yes	characteristic
783	#391	C₂³	1	1	yes	characteristic
784	#391	C₂³	1	1	yes	characteristic
785	#391	C₂³	1	1	yes	characteristic
786	#391	C₂³	1	1	yes	characteristic
787	#391	C₂³	1	1	yes	characteristic
788	#391	C₂³	1	2	yes	—
789	#391	C₂³	1	1	yes	characteristic
790	#391	C₂³	1	1	yes	characteristic
791	#391	C₂³	1	2	yes	—
792	#391	C₂³	1	2	yes	—
793	#391	C₂³	1	2	yes	—
794	#391	C₂³	1	1	yes	characteristic
795	#391	C₂³	1	2	yes	—
796	#391	C₂³	1	1	yes	characteristic
797	#391	C₂³	1	1	yes	characteristic
798	#391	C₂³	1	1	yes	characteristic
799	#391	C₂³	1	1	yes	characteristic
800	#391	C₂³	1	2	yes	—
801	#391	C₂³	1	2	yes	—
802	#391	C₂³	1	2	yes	—
803	#391	C₂³	1	2	yes	—
804	#391	C₂³	1	2	yes	—
805	#391	C₂³	1	2	yes	—
806	#391	C₂³	1	2	yes	—
807	#391	C₂³	1	1	yes	characteristic
808	#391	C₂³	1	1	yes	characteristic
809	#391	C₂³	1	1	yes	characteristic
810	#391	C₂³	1	2	yes	—
811	#391	C₂³	1	1	yes	characteristic
812	#391	C₂³	1	1	yes	characteristic
813	#391	C₂³	1	1	yes	characteristic
814	#391	C₂³	1	1	yes	characteristic
815	#391	C₂³	1	1	yes	characteristic
816	#391	C₂³	1	1	yes	characteristic
817	#391	C₂³	1	1	yes	characteristic
818	#391	C₂³	1	1	yes	characteristic
819	#390	C₂³	1	1	yes	characteristic
820	#390	C₂³	1	1	yes	characteristic
821	#390	C₂³	1	2	yes	—
822	#390	C₂³	1	1	yes	characteristic
823	#390	C₂³	1	1	yes	characteristic
824	#390	C₂³	1	2	yes	—
825	#390	C₂³	1	2	yes	—
826	#390	C₂³	1	2	yes	—
827	#390	C₂³	1	1	yes	characteristic
828	#390	C₂³	1	1	yes	characteristic
829	#390	C₂³	1	1	yes	characteristic
830	#390	C₂³	1	1	yes	characteristic
831	#390	C₂³	1	2	yes	—
832	#390	C₂³	1	2	yes	—
833	#390	C₂³	1	2	yes	—
834	#390	C₂³	1	1	yes	characteristic
835	#390	C₂³	1	2	yes	—
836	#390	C₂³	1	1	yes	characteristic
837	#390	C₂³	1	2	yes	—
838	#390	C₂³	1	2	yes	—
839	#390	C₂³	1	2	yes	—
840	#390	C₂³	1	1	yes	characteristic
841	#390	C₂³	1	1	yes	characteristic
842	#390	C₂³	1	1	yes	characteristic
843	#390	C₂³	1	1	yes	characteristic
844	#390	C₂³	1	2	yes	—
845	#390	C₂³	1	1	yes	characteristic
846	#390	C₂³	1	1	yes	characteristic
847	#390	C₂³	1	1	yes	characteristic
848	#390	C₂³	1	1	yes	characteristic
849	#390	C₂³	1	2	yes	—
850	#390	C₂³	1	2	yes	—
851	#390	C₂³	1	2	yes	—
852	#389	C₂³	1	2	yes	—
853	#389	C₂³	1	2	yes	—
854	#389	C₂³	1	1	yes	characteristic
855	#389	C₂³	1	1	yes	characteristic
856	#389	C₂³	1	2	yes	—
857	#389	C₂³	1	1	yes	characteristic
858	#389	C₂³	1	2	yes	—
859	#389	C₂³	1	2	yes	—
860	#389	C₂³	1	2	yes	—
861	#389	C₂³	1	1	yes	characteristic
862	#389	C₂³	1	1	yes	characteristic
863	#389	C₂³	1	1	yes	characteristic
864	#389	C₂³	1	2	yes	—
865	#389	C₂³	1	1	yes	characteristic
866	#389	C₂³	1	1	yes	characteristic
867	#389	C₂³	1	2	yes	—
868	#389	C₂³	1	1	yes	characteristic
869	#389	C₂³	1	2	yes	—
870	#389	C₂³	1	1	yes	characteristic
871	#389	C₂³	1	2	yes	—
872	#389	C₂³	1	2	yes	—
873	#389	C₂³	1	2	yes	—
874	#389	C₂³	1	1	yes	characteristic
875	#389	C₂³	1	1	yes	characteristic
876	#389	C₂³	1	1	yes	characteristic
877	#389	C₂³	1	2	yes	—
878	#389	C₂³	1	2	yes	—
879	#389	C₂³	1	2	yes	—
880	#389	C₂³	1	1	yes	characteristic
881	#389	C₂³	1	1	yes	characteristic
882	#389	C₂³	1	1	yes	characteristic
883	#389	C₂³	1	2	yes	—
884	#389	C₂³	1	2	yes	—
885	#389	C₂³	1	2	yes	—
886	#389	C₂³	1	2	yes	—
887	#389	C₂³	1	2	yes	—
888	#389	C₂³	1	2	yes	—
889	#389	C₂³	1	1	yes	characteristic
890	#389	C₂³	1	2	yes	—
891	#389	C₂³	1	2	yes	—
892	#389	C₂³	1	1	yes	characteristic
893	#389	C₂³	1	1	yes	characteristic
894	#389	C₂³	1	1	yes	characteristic
895	#389	C₂³	1	1	yes	characteristic
896	#389	C₂³	1	2	yes	—
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	2	yes	—
899	#389	C₂³	1	1	yes	characteristic
900	#389	C₂³	1	1	yes	characteristic
901	#389	C₂³	1	2	yes	—
902	#389	C₂³	1	2	yes	—
903	#389	C₂³	1	1	yes	characteristic
904	#389	C₂³	1	1	yes	characteristic
905	#389	C₂³	1	2	yes	—
906	#389	C₂³	1	2	yes	—
907	#389	C₂³	1	2	yes	—
908	#389	C₂³	1	2	yes	—
909	#389	C₂³	1	2	yes	—
910	#389	C₂³	1	2	yes	—
911	#389	C₂³	1	1	yes	characteristic
912	#389	C₂³	1	1	yes	characteristic
913	#389	C₂³	1	1	yes	characteristic
914	#389	C₂³	1	1	yes	characteristic
915	#389	C₂³	1	1	yes	characteristic
916	#389	C₂³	1	1	yes	characteristic
917	#389	C₂³	1	1	yes	characteristic
918	#389	C₂³	1	1	yes	characteristic
919	#389	C₂³	1	1	yes	characteristic
920	#389	C₂³	1	1	yes	characteristic
921	#389	C₂³	1	1	yes	characteristic
922	#389	C₂³	1	1	yes	characteristic
923	#389	C₂³	1	1	yes	characteristic
924	#389	C₂³	1	1	yes	characteristic
925	#389	C₂³	1	1	yes	characteristic
926	#388	C₂³	1	2	yes	—
927	#388	C₂³	1	2	yes	—
928	#388	C₂³	1	2	yes	—
929	#388	C₂³	1	2	yes	—
930	#388	C₂³	1	2	yes	—
931	#388	C₂³	1	2	yes	—
932	#388	C₂³	1	2	yes	—
933	#388	C₂³	1	2	yes	—
934	#388	C₂³	1	2	yes	—
935	#388	C₂³	1	2	yes	—
936	#388	C₂³	1	2	yes	—
937	#388	C₂³	1	2	yes	—
938	#388	C₂³	1	2	yes	—
939	#388	C₂³	1	2	yes	—
940	#388	C₂³	1	2	yes	—
941	#388	C₂³	1	2	yes	—
942	#388	C₂³	1	2	yes	—
943	#388	C₂³	1	2	yes	—
944	#388	C₂³	1	2	yes	—
945	#388	C₂³	1	2	yes	—
946	#388	C₂³	1	2	yes	—
947	#388	C₂³	1	2	yes	—
948	#388	C₂³	1	2	yes	—
949	#388	C₂³	1	2	yes	—
950	#388	C₂³	1	2	yes	—
951	#388	C₂³	1	2	yes	—
952	#388	C₂³	1	2	yes	—
953	#388	C₂³	1	2	yes	—
954	#388	C₂³	1	2	yes	—
955	#388	C₂³	1	2	yes	—
956	#388	C₂³	1	2	yes	—
957	#388	C₂³	1	2	yes	—
958	#388	C₂³	1	2	yes	—
959	#388	C₂³	1	2	yes	—
960	#388	C₂³	1	2	yes	—
961	#388	C₂³	1	2	yes	—
962	#388	C₂³	1	2	yes	—
963	#388	C₂³	1	2	yes	—
964	#388	C₂³	1	2	yes	—
965	#388	C₂³	1	2	yes	—
966	#388	C₂³	1	2	yes	—
967	#388	C₂³	1	2	yes	—
968	#388	C₂³	1	2	yes	—
969	#388	C₂³	1	2	yes	—
970	#388	C₂³	1	2	yes	—
971	#388	C₂³	1	2	yes	—
972	#388	C₂³	1	2	yes	—
973	#388	C₂³	1	2	yes	—
974	#388	C₂³	1	2	yes	—
975	#388	C₂³	1	2	yes	—
976	#388	C₂³	1	2	yes	—
977	#388	C₂³	1	2	yes	—
978	#388	C₂³	1	2	yes	—
979	#388	C₂³	1	2	yes	—
980	#388	C₂³	1	2	yes	—
981	#388	C₂³	1	2	yes	—
982	#388	C₂³	1	2	yes	—
983	#388	C₂³	1	2	yes	—
984	#388	C₂³	1	2	yes	—
985	#388	C₂³	1	2	yes	—
986	#388	C₂³	1	2	yes	—
987	#388	C₂³	1	2	yes	—
988	#388	C₂³	1	2	yes	—
989	#388	C₂³	1	2	yes	—
990	#388	C₂³	1	2	yes	—
991	#388	C₂³	1	2	yes	—
992	#388	C₂³	1	2	yes	—
993	#388	C₂³	1	2	yes	—
994	#388	C₂³	1	2	yes	—
995	#388	C₂³	1	2	yes	—
996	#388	C₂³	1	2	yes	—
997	#388	C₂³	1	2	yes	—
998	#388	C₂³	1	2	yes	—
999	#388	C₂³	1	2	yes	—
1000	#388	C₂³	1	2	yes	—
1001	#388	C₂³	1	2	yes	—
1002	#388	C₂³	1	2	yes	—
1003	#388	C₂³	1	2	yes	—
1004	#388	C₂³	1	2	yes	—
1005	#388	C₂³	1	2	yes	—
1006	#388	C₂³	1	2	yes	—
1007	#388	C₂³	1	2	yes	—
1008	#387	C₂³	1	1	yes	characteristic
1009	#387	C₂³	1	2	yes	—
1010	#387	C₂³	1	1	yes	characteristic
1011	#387	C₂³	1	2	yes	—
1012	#387	C₂³	1	2	yes	—
1013	#387	C₂³	1	2	yes	—
1014	#387	C₂³	1	2	yes	—
1015	#387	C₂³	1	2	yes	—
1016	#387	C₂³	1	2	yes	—
1017	#387	C₂³	1	2	yes	—
1018	#387	C₂³	1	2	yes	—
1019	#387	C₂³	1	1	yes	characteristic
1020	#387	C₂³	1	2	yes	—
1021	#387	C₂³	1	2	yes	—
1022	#387	C₂³	1	2	yes	—
1023	#387	C₂³	1	2	yes	—
1024	#387	C₂³	1	2	yes	—
1025	#387	C₂³	1	2	yes	—
1026	#387	C₂³	1	2	yes	—
1027	#387	C₂³	1	2	yes	—
1028	#387	C₂³	1	2	yes	—
1029	#387	C₂³	1	2	yes	—
1030	#387	C₂³	1	2	yes	—
1031	#387	C₂³	1	2	yes	—
1032	#387	C₂³	1	1	yes	characteristic
1033	#387	C₂³	1	1	yes	characteristic
1034	#387	C₂³	1	2	yes	—
1035	#387	C₂³	1	2	yes	—
1036	#387	C₂³	1	2	yes	—
1037	#387	C₂³	1	2	yes	—
1038	#387	C₂³	1	2	yes	—
1039	#387	C₂³	1	2	yes	—
1040	#387	C₂³	1	2	yes	—
1041	#387	C₂³	1	2	yes	—
1042	#387	C₂³	1	2	yes	—
1043	#387	C₂³	1	2	yes	—
1044	#387	C₂³	1	2	yes	—
1045	#387	C₂³	1	2	yes	—
1046	#387	C₂³	1	2	yes	—
1047	#387	C₂³	1	2	yes	—
1048	#387	C₂³	1	2	yes	—
1049	#387	C₂³	1	2	yes	—
1050	#387	C₂³	1	2	yes	—
1051	#387	C₂³	1	2	yes	—
1052	#387	C₂³	1	2	yes	—
1053	#387	C₂³	1	2	yes	—
1054	#387	C₂³	1	2	yes	—
1055	#387	C₂³	1	2	yes	—
1056	#387	C₂³	1	2	yes	—
1057	#387	C₂³	1	2	yes	—
1058	#387	C₂³	1	1	yes	characteristic
1059	#387	C₂³	1	2	yes	—
1060	#387	C₂³	1	2	yes	—
1061	#387	C₂³	1	2	yes	—
1062	#387	C₂³	1	2	yes	—
1063	#387	C₂³	1	2	yes	—
1064	#387	C₂³	1	1	yes	characteristic
1065	#387	C₂³	1	2	yes	—
1066	#387	C₂³	1	2	yes	—
1067	#387	C₂³	1	1	yes	characteristic
1068	#387	C₂³	1	2	yes	—
1069	#387	C₂³	1	2	yes	—
1070	#387	C₂³	1	2	yes	—
1071	#387	C₂³	1	2	yes	—
1072	#387	C₂³	1	1	yes	characteristic
1073	#387	C₂³	1	1	yes	characteristic
1074	#387	C₂³	1	1	yes	characteristic
1075	#387	C₂³	1	1	yes	characteristic
1076	#387	C₂³	1	1	yes	characteristic
1077	#387	C₂³	1	1	yes	characteristic
1078	#387	C₂³	1	1	yes	characteristic
1079	#387	C₂³	1	1	yes	characteristic
1080	#387	C₂³	1	1	yes	characteristic
1081	#387	C₂³	1	1	yes	characteristic
1082	#387	C₂³	1	1	yes	characteristic
1083	#387	C₂³	1	1	yes	characteristic
1084	#387	C₂³	1	1	yes	characteristic
1085	#387	C₂³	1	1	yes	characteristic
1086	#387	C₂³	1	1	yes	characteristic
1087	#387	C₂³	1	1	yes	characteristic
1088	#387	C₂³	1	2	yes	—
1089	#387	C₂³	1	2	yes	—
1090	#386	C₂³	1	2	yes	—
1091	#386	C₂³	1	2	yes	—
1092	#386	C₂³	1	2	yes	—
1093	#386	C₂³	1	2	yes	—
1094	#386	C₂³	1	2	yes	—
1095	#386	C₂³	1	2	yes	—
1096	#386	C₂³	1	2	yes	—
1097	#386	C₂³	1	2	yes	—
1098	#386	C₂³	1	2	yes	—
1099	#386	C₂³	1	2	yes	—
1100	#386	C₂³	1	2	yes	—
1101	#386	C₂³	1	2	yes	—
1102	#386	C₂³	1	2	yes	—
1103	#386	C₂³	1	2	yes	—
1104	#386	C₂³	1	2	yes	—
1105	#386	C₂³	1	2	yes	—
1106	#386	C₂³	1	2	yes	—
1107	#386	C₂³	1	2	yes	—
1108	#386	C₂³	1	2	yes	—
1109	#386	C₂³	1	2	yes	—
1110	#386	C₂³	1	2	yes	—
1111	#386	C₂³	1	2	yes	—
1112	#385	C₂³	1	2	yes	—
1113	#385	C₂³	1	2	yes	—
1114	#385	C₂³	1	2	yes	—
1115	#385	C₂³	1	2	yes	—
1116	#385	C₂³	1	2	yes	—
1117	#385	C₂³	1	2	yes	—
1118	#385	C₂³	1	2	yes	—
1119	#385	C₂³	1	2	yes	—
1120	#385	C₂³	1	2	yes	—
1121	#385	C₂³	1	2	yes	—
1122	#385	C₂³	1	2	yes	—
1123	#385	C₂³	1	2	yes	—
1124	#385	C₂³	1	2	yes	—
1125	#385	C₂³	1	2	yes	—
1126	#385	C₂³	1	2	yes	—
1127	#385	C₂³	1	2	yes	—
1128	#385	C₂³	1	2	yes	—
1129	#385	C₂³	1	2	yes	—
1130	#385	C₂³	1	2	yes	—
1131	#385	C₂³	1	2	yes	—
1132	#385	C₂³	1	2	yes	—
1133	#385	C₂³	1	2	yes	—
1134	#385	C₂³	1	2	yes	—
1135	#385	C₂³	1	2	yes	—
1136	#385	C₂³	1	2	yes	—
1137	#385	C₂³	1	2	yes	—
1138	#385	C₂³	1	2	yes	—
1139	#385	C₂³	1	2	yes	—
1140	#385	C₂³	1	2	yes	—
1141	#385	C₂³	1	2	yes	—
1142	#385	C₂³	1	2	yes	—
1143	#385	C₂³	1	1	yes	characteristic
1144	#385	C₂³	1	1	yes	characteristic
1145	#385	C₂³	1	1	yes	characteristic
1146	#385	C₂³	1	1	yes	characteristic
1147	#385	C₂³	1	1	yes	characteristic
1148	#385	C₂³	1	1	yes	characteristic
1149	#385	C₂³	1	1	yes	characteristic
1150	#385	C₂³	1	1	yes	characteristic
1151	#385	C₂³	1	2	yes	—
1152	#384	C₂³	1	1	yes	characteristic
1153	#384	C₂³	1	1	yes	characteristic
1154	#384	C₂³	1	2	yes	—
1155	#384	C₂³	1	2	yes	—
1156	#384	C₂³	1	2	yes	—
1157	#384	C₂³	1	1	yes	characteristic
1158	#384	C₂³	1	1	yes	characteristic
1159	#384	C₂³	1	1	yes	characteristic
1160	#384	C₂³	1	2	yes	—
1161	#384	C₂³	1	2	yes	—
1162	#383	C₂³	1	2	yes	—
1163	#383	C₂³	1	2	yes	—
1164	#382	C₂³	1	2	yes	—
1165	#382	C₂³	1	2	yes	—
1166	#382	C₂³	1	2	yes	—
1167	#382	C₂³	1	2	yes	—
1168	#382	C₂³	1	1	yes	characteristic
1169	#382	C₂³	1	1	yes	characteristic
1170	#382	C₂³	1	1	yes	characteristic
1171	#382	C₂³	1	1	yes	characteristic
1172	#382	C₂³	1	1	yes	characteristic
1173	#382	C₂³	1	2	yes	—
1174	#382	C₂³	1	2	yes	—
1175	#382	C₂³	1	2	yes	—
1176	#381	C₂³	1	2	yes	—
1177	#381	C₂³	1	2	yes	—
1178	#381	C₂³	1	2	yes	—
1179	#381	C₂³	1	2	yes	—
1180	#381	C₂³	1	2	yes	—
1181	#381	C₂³	1	2	yes	—
1182	#381	C₂³	1	2	yes	—
1183	#381	C₂³	1	2	yes	—
1184	#381	C₂³	1	2	yes	—
1185	#381	C₂³	1	2	yes	—
1186	#380	C₂³	1	2	yes	—
1187	#380	C₂³	1	2	yes	—
1188	#380	C₂³	1	2	yes	—
1189	#380	C₂³	1	2	yes	—
1190	#380	C₂³	1	2	yes	—
1191	#380	C₂³	1	2	yes	—
1192	#380	C₂³	1	2	yes	—
1193	#380	C₂³	1	2	yes	—
1194	#380	C₂³	1	2	yes	—
1195	#380	C₂³	1	2	yes	—
1196	#380	C₂³	1	1	yes	characteristic
1197	#380	C₂³	1	1	yes	characteristic
1198	#380	C₂³	1	2	yes	—
1199	#380	C₂³	1	2	yes	—
1200	#380	C₂³	1	2	yes	—
1201	#380	C₂³	1	2	yes	—
1202	#380	C₂³	1	2	yes	—
1203	#380	C₂³	1	2	yes	—
1204	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1205	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1206	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1207	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1208	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1209	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1210	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1211	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1212	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1213	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1214	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1215	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1216	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1217	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1218	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1219	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1220	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1221	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1222	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1223	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1224	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1225	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1226	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1227	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1228	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1229	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1230	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1231	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1232	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1233	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1234	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1235	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1236	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1237	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1238	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1239	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1240	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1241	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1242	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1243	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1244	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1245	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1246	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1247	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1248	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1249	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1250	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1251	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1252	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1253	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1254	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1255	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1256	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1257	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1258	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1259	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1261	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1262	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1263	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1264	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1265	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1266	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1268	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1269	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1271	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1272	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1273	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1274	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1275	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1276	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1277	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1278	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1279	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1280	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1281	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1282	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1283	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1284	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1285	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1286	#376	C₂³	1	1	yes	characteristic
1287	#376	C₂³	1	1	yes	characteristic
1288	#376	C₂³	1	2	yes	—
1289	#376	C₂³	1	2	yes	—
1290	#376	C₂³	1	1	yes	characteristic
1291	#376	C₂³	1	1	yes	characteristic
1292	#376	C₂³	1	1	yes	characteristic
1293	#376	C₂³	1	1	yes	characteristic
1294	C₂×#95	C₂³	1	2	yes	—
1295	C₂×#95	C₂³	1	1	yes	characteristic
1296	C₂×#95	C₂³	1	1	yes	characteristic
1297	C₄³	C₂³	1	1	yes	characteristic
1298	C₄³	C₂³	1	1	yes	characteristic
1299	C₄³	C₂³	1	1	yes	characteristic
1300	C₄³	C₂³	1	1	yes	characteristic
1301	C₄³	C₂³	1	1	yes	characteristic
1302	C₄³	C₂³	1	1	yes	characteristic
1303	C₂×#41	—	4	4	no	—
1304	C₂×#41	—	4	4	no	—
1305	C₂×#41	—	8	2	no	—
1306	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1307	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1308	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1309	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1310	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1311	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1312	C₂²×Q₈	C₂⁴	1	2	yes	—
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	2	yes	—
1315	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1316	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1317	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1318	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1319	C₂²×D₄	C₂⁴	1	2	yes	—
1320	C₂²×D₄	C₂⁴	1	2	yes	—
1321	C₂²×D₄	C₂⁴	1	2	yes	—
1322	C₂²×D₄	C₂⁴	1	2	yes	—
1323	C₂²×D₄	C₂⁴	1	2	yes	—
1324	C₂²×D₄	C₂⁴	1	2	yes	—
1325	C₂²×D₄	C₂⁴	1	2	yes	—
1326	C₂²×D₄	C₂⁴	1	2	yes	—
1327	C₂²×D₄	C₂⁴	1	2	yes	—
1328	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1329	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1330	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1331	C₂³×C₄	C₂⁴	1	2	yes	—
1332	C₂³×C₄	C₂⁴	1	2	yes	—
1333	C₂³×C₄	C₂⁴	1	2	yes	—
1334	C₂³×C₄	C₂⁴	1	2	yes	—
1335	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1336	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1337	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1338	C₂³×C₄	C₂⁴	1	2	yes	—
1339	C₂³×C₄	C₂⁴	1	2	yes	—
1340	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1341	C₂³×C₄	C₂⁴	1	2	yes	—
1342	C₂³×C₄	C₂⁴	1	2	yes	—
1343	C₂³×C₄	C₂⁴	1	2	yes	—
1344	C₄⋊Q₈	—	2	4	no	—
1345	C₄⋊Q₈	—	2	4	no	—
1346	C₄⋊Q₈	—	2	4	no	—
1347	C₄⋊Q₈	—	2	4	no	—
1348	C₄⋊Q₈	—	2	4	no	—
1349	C₄⋊Q₈	—	4	2	no	—
1350	C₄⋊Q₈	—	4	2	no	—
1351	C₄⋊Q₈	—	4	2	no	—
1352	C₄⋊Q₈	—	8	2	no	—
1353	#127	—	2	4	no	—
1354	#127	—	2	4	no	—
1355	#127	—	4	2	no	—
1356	#126	—	2	8	no	—
1357	#126	—	2	8	no	—
1358	#126	—	4	4	no	—
1359	#126	—	4	4	no	—
1360	#126	—	4	4	no	—
1361	#126	—	4	4	no	—
1362	#126	—	4	4	no	—
1363	#126	—	4	4	no	—
1364	#126	—	4	4	no	—
1365	#126	—	8	2	no	—
1366	#126	—	8	2	no	—
1367	#125	—	2	4	no	—
1368	#125	—	2	4	no	—
1369	#125	—	4	2	no	—
1370	#125	—	4	2	no	—
1371	#125	—	4	2	no	—
1372	#125	—	4	2	no	—
1373	#125	—	4	4	no	—
1374	#125	—	4	4	no	—
1375	#124	—	2	8	no	—
1376	#124	—	2	4	no	—
1377	#124	—	2	4	no	—
1378	#124	—	2	4	no	—
1379	#124	—	2	4	no	—
1380	#124	—	2	4	no	—
1381	#124	—	4	4	no	—
1382	#124	—	4	4	no	—
1383	#124	—	4	2	no	—
1384	#124	—	4	2	no	—
1385	#124	—	4	2	no	—
1386	#124	—	4	2	no	—
1387	#124	—	4	4	no	—
1388	#124	—	4	4	no	—
1389	#124	—	8	2	no	—
1390	#123	—	2	8	no	—
1391	#123	—	2	8	no	—
1392	#123	—	4	4	no	—
1393	#123	—	4	4	no	—
1394	#123	—	4	4	no	—
1395	#123	—	4	4	no	—
1396	#123	—	4	4	no	—
1397	#123	—	8	2	no	—
1398	#123	—	8	2	no	—
1399	C₂²⋊Q₈	—	2	4	no	—
1400	C₂²⋊Q₈	—	2	8	no	—
1401	C₂²⋊Q₈	—	2	4	no	—
1402	C₂²⋊Q₈	—	2	4	no	—
1403	C₂²⋊Q₈	—	2	4	no	—
1404	C₂²⋊Q₈	—	2	4	no	—
1405	C₂²⋊Q₈	—	2	4	no	—
1406	C₂²⋊Q₈	—	2	4	no	—
1407	C₂²⋊Q₈	—	4	4	no	—
1408	C₂²⋊Q₈	—	4	4	no	—
1409	C₂²⋊Q₈	—	4	4	no	—
1410	C₂²⋊Q₈	—	8	2	no	—
1411	C₂²⋊Q₈	—	8	2	no	—
1412	#121	—	2	4	no	—
1413	#121	—	2	4	no	—
1414	#121	—	2	4	no	—
1415	#121	—	4	4	no	—
1416	C₄×Q₈	—	2	4	no	—
1417	C₄×Q₈	—	2	4	no	—
1418	C₄×Q₈	—	2	4	no	—
1419	C₄×Q₈	—	2	4	no	—
1420	C₄×Q₈	—	2	4	no	—
1421	C₄×Q₈	—	2	4	no	—
1422	C₄×Q₈	—	4	2	no	—
1423	C₄×Q₈	—	4	2	no	—
1424	C₄×Q₈	—	4	2	no	—
1425	C₄×Q₈	—	4	2	no	—
1426	C₄×Q₈	—	4	2	no	—
1427	C₄×Q₈	—	4	2	no	—
1428	C₄×Q₈	—	4	2	no	—
1429	C₄×Q₈	—	4	2	no	—
1430	C₄×Q₈	—	4	2	no	—
1431	C₄×Q₈	—	4	2	no	—
1432	C₄×Q₈	—	8	2	no	—
1433	C₄×Q₈	—	8	2	no	—
1434	C₄×Q₈	#41	1	8	yes	complemented
1435	C₄×D₄	—	2	8	no	—
1436	C₄×D₄	—	2	4	no	—
1437	C₄×D₄	—	2	4	no	—
1438	C₄×D₄	—	2	4	no	—
1439	C₄×D₄	—	4	4	no	—
1440	C₄×D₄	—	4	2	no	—
1441	C₄×D₄	—	4	2	no	—
1442	C₄×D₄	—	4	2	no	—
1443	C₄×D₄	—	4	2	no	—
1444	C₄×D₄	—	4	2	no	—
1445	C₄×D₄	—	4	2	no	—
1446	C₄×D₄	—	4	4	no	—
1447	C₄×D₄	—	4	4	no	—
1448	C₄×D₄	—	4	4	no	—
1449	C₄×D₄	—	4	4	no	—
1450	C₄×D₄	—	4	4	no	—
1451	C₄×D₄	—	4	4	no	—
1452	C₄×D₄	—	8	2	no	—
1453	C₄×D₄	—	8	2	no	—
1454	C₄×D₄	—	8	2	no	—
1455	C₄×D₄	—	8	2	no	—
1456	#117	—	2	4	no	—
1457	#117	—	2	8	no	—
1458	#117	—	2	4	no	—
1459	#117	—	2	4	no	—
1460	#117	—	2	4	no	—
1461	#117	—	4	4	no	—
1462	#117	—	4	4	no	—
1463	#117	—	4	4	no	—
1464	C₂×C₄⋊C₄	—	4	4	no	—
1465	C₂×C₄⋊C₄	—	4	2	no	—
1466	C₂×C₄⋊C₄	—	4	4	no	—
1467	C₂×C₄⋊C₄	—	4	2	no	—
1468	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1470	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1471	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1473	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1476	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1477	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1478	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1479	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1482	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1484	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1485	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1486	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1487	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1488	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1489	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1490	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1491	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1492	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1493	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1494	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1495	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1496	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1497	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1498	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1499	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1500	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1501	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1502	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1503	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1504	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1505	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1506	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1507	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1508	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1509	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1510	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1511	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1512	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1513	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1514	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1515	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1516	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1517	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1518	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1519	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1520	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1521	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1522	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1523	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1524	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1525	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1526	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1527	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1528	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1529	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1530	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1531	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1532	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1533	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1535	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1536	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1537	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1538	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1539	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1540	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1541	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1542	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1543	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1544	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1545	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1547	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1548	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1549	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1550	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1551	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1553	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1554	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1555	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1556	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1557	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1559	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1560	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1561	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1562	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1563	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1564	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1565	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1566	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1567	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1568	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1569	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1570	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1571	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1572	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1573	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1574	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1575	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1576	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1577	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1578	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1579	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1581	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1582	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1583	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1584	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1585	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1586	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1587	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1588	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1589	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1590	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1591	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1592	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1593	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1594	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1595	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1596	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1597	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1598	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1599	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1600	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1601	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1602	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1603	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1604	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1605	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1606	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1607	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1608	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1609	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1610	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1611	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1612	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1613	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1614	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1615	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1616	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1617	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1618	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1619	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1620	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1621	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1622	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1623	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1624	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1625	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1626	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1627	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1628	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1629	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1630	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1631	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1632	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1633	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1634	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1635	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1636	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1637	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1638	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1639	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1640	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1641	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1642	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1643	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1644	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1645	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1646	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1647	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1648	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1649	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1650	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1651	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1652	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1653	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1654	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1655	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1656	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1657	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1658	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1659	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1660	C₂×C₄²	—	2	4	no	—
1661	C₂×C₄²	—	2	4	no	—
1662	C₂×C₄²	—	2	4	no	—
1663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1665	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1669	C₂×C₄²	C₂⁴	1	2	yes	—
1670	C₂×C₄²	C₂⁴	1	2	yes	—
1671	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1676	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1677	C₂×C₄²	C₂⁴	1	2	yes	—
1678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1684	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1685	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1686	C₂×C₄²	C₂⁴	1	2	yes	—
1687	C₂×C₄²	C₂⁴	1	2	yes	—
1688	C₂×C₄²	C₂⁴	1	2	yes	—
1689	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1690	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1691	C₂×C₄²	C₂⁴	1	2	yes	—
1692	C₂×C₄²	C₂⁴	1	2	yes	—
1693	C₂×C₄²	C₂⁴	1	2	yes	—
1694	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1695	C₂×C₄²	C₂⁴	1	2	yes	—
1696	C₂×C₄²	C₂⁴	1	2	yes	—
1697	C₂×C₄²	C₂⁴	1	2	yes	—
1698	C₂×C₄²	C₂⁴	1	2	yes	—
1699	C₂×C₄²	C₂⁴	1	2	yes	—
1700	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1701	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1702	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1703	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1705	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1706	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1707	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1708	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1709	C₂×C₄²	C₂⁴	1	2	yes	—
1710	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1711	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1712	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1713	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1714	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1715	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1716	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1717	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1718	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1719	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1720	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1721	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1722	#95	C₂⁴	1	1	yes	characteristic
1723	#95	C₂⁴	1	2	yes	—
1724	#95	C₂⁴	1	1	yes	characteristic
1725	#95	C₂⁴	1	1	yes	characteristic
1726	#95	C₂⁴	1	1	yes	characteristic
1727	#95	C₂⁴	1	1	yes	characteristic
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	1	yes	characteristic
1730	#95	C₂⁴	1	1	yes	characteristic
1731	#95	C₂⁴	1	2	yes	—
1732	#95	C₂⁴	1	2	yes	—
1733	#95	C₂⁴	1	1	yes	characteristic
1734	#95	C₂⁴	1	1	yes	characteristic
1735	#95	C₂⁴	1	1	yes	characteristic
1736	#95	C₂⁴	1	2	yes	—
1737	#95	C₂⁴	1	1	yes	characteristic
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	1	yes	characteristic
1740	#95	C₂⁴	1	1	yes	characteristic
1741	#95	C₂⁴	1	1	yes	characteristic
1742	#95	C₂⁴	1	1	yes	characteristic
1743	#95	C₂⁴	1	1	yes	characteristic
1744	#95	C₂⁴	1	1	yes	characteristic
1745	#95	C₂⁴	1	1	yes	characteristic
1746	#95	C₂⁴	1	1	yes	characteristic
1747	#95	C₂⁴	1	1	yes	characteristic
1748	#95	C₂⁴	1	1	yes	characteristic
1749	#95	C₂⁴	1	1	yes	characteristic
1750	#95	C₂⁴	1	1	yes	characteristic
1751	#95	C₂⁴	1	1	yes	characteristic
1752	#95	C₂⁴	1	1	yes	characteristic
1753	#95	C₂⁴	1	1	yes	characteristic
1754	#95	C₂⁴	1	1	yes	characteristic
1755	#95	C₂⁴	1	1	yes	characteristic
1756	#95	C₂⁴	1	1	yes	characteristic
1757	#95	C₂⁴	1	1	yes	characteristic
1758	#95	C₂⁴	1	2	yes	—
1759	#95	C₂⁴	1	2	yes	—
1760	#95	C₂⁴	1	2	yes	—
1761	#95	C₂⁴	1	2	yes	—
1762	#95	C₂⁴	1	2	yes	—
1763	#95	C₂⁴	1	2	yes	—
1764	#95	C₂⁴	1	1	yes	characteristic
1765	#95	C₂⁴	1	2	yes	—
1766	#95	C₂⁴	1	1	yes	characteristic
1767	#95	C₂⁴	1	2	yes	—
1768	#95	C₂⁴	1	2	yes	—
1769	#95	C₂⁴	1	2	yes	—
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	2	yes	—
1772	#95	C₂⁴	1	2	yes	—
1773	#95	C₂⁴	1	2	yes	—
1774	#95	C₂⁴	1	2	yes	—
1775	#95	C₂⁴	1	2	yes	—
1776	#95	C₂⁴	1	2	yes	—
1777	#95	C₂⁴	1	2	yes	—
1778	#95	C₂⁴	1	2	yes	—
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	2	yes	—
1781	#95	C₂⁴	1	2	yes	—
1782	#95	C₂⁴	1	2	yes	—
1783	#95	C₂⁴	1	2	yes	—
1784	#95	C₂⁴	1	2	yes	—
1785	#95	C₂⁴	1	2	yes	—
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	2	yes	—
1788	#95	C₂⁴	1	1	yes	characteristic
1789	#95	C₂⁴	1	1	yes	characteristic
1790	#95	C₂⁴	1	1	yes	characteristic
1791	#95	C₂⁴	1	1	yes	characteristic
1792	#95	C₂⁴	1	1	yes	characteristic
1793	#95	C₂⁴	1	1	yes	characteristic
1794	#95	C₂⁴	1	1	yes	characteristic
1795	#95	C₂⁴	1	1	yes	characteristic
1796	#95	C₂⁴	1	2	yes	—
1797	#95	C₂⁴	1	1	yes	characteristic
1798	#95	C₂⁴	1	2	yes	—
1799	#95	C₂⁴	1	2	yes	—
1800	#95	C₂⁴	1	2	yes	—
1801	#95	C₂⁴	1	2	yes	—
1802	#95	C₂⁴	1	2	yes	—
1803	#95	C₂⁴	1	2	yes	—
1804	#95	C₂⁴	1	2	yes	—
1805	#95	C₂⁴	1	2	yes	—
1806	#95	C₂⁴	1	2	yes	—
1807	#95	C₂⁴	1	2	yes	—
1808	#95	C₂⁴	1	2	yes	—
1809	#95	C₂⁴	1	2	yes	—
1810	#95	C₂⁴	1	2	yes	—
1811	#95	C₂⁴	1	2	yes	—
1812	#95	C₂⁴	1	2	yes	—
1813	#95	C₂⁴	1	2	yes	—
1814	#95	C₂⁴	1	1	yes	characteristic
1815	#95	C₂⁴	1	1	yes	characteristic
1816	#95	C₂⁴	1	1	yes	characteristic
1817	#95	C₂⁴	1	1	yes	characteristic
1818	#95	C₂⁴	1	2	yes	—
1819	#95	C₂⁴	1	1	yes	characteristic
1820	#95	C₂⁴	1	2	yes	—
1821	#95	C₂⁴	1	2	yes	—
1822	#95	C₂⁴	1	2	yes	—
1823	#95	C₂⁴	1	2	yes	—
1824	#95	C₂⁴	1	2	yes	—
1825	#95	C₂⁴	1	2	yes	—
1826	#95	C₂⁴	1	2	yes	—
1827	#95	C₂⁴	1	2	yes	—
1828	#95	C₂⁴	1	2	yes	—
1829	#95	C₂⁴	1	2	yes	—
1830	#95	C₂⁴	1	2	yes	—
1831	#95	C₂⁴	1	2	yes	—
1832	#95	C₂⁴	1	2	yes	—
1833	#95	C₂⁴	1	2	yes	—
1834	#95	C₂⁴	1	2	yes	—
1835	#95	C₂⁴	1	2	yes	—
1836	#95	C₂⁴	1	2	yes	—
1837	#95	C₂⁴	1	2	yes	—
1838	#95	C₂⁴	1	2	yes	—
1839	#95	C₂⁴	1	2	yes	—
1840	#95	C₂⁴	1	2	yes	—
1841	#95	C₂⁴	1	2	yes	—
1842	#95	C₂⁴	1	2	yes	—
1843	#95	C₂⁴	1	2	yes	—
1844	C₂⁴	C₂⁵	1	2	yes	—
1845	C₂⁴	C₂⁵	1	2	yes	—
1846	C₂⁴	C₂⁵	1	2	yes	—
1847	C₂⁴	C₂⁵	1	1	yes	characteristic
1848	#41	—	8	16	no	—
1849	C₂×Q₈	—	2	2	no	—
1850	C₂×Q₈	—	2	2	no	—
1851	C₂×Q₈	—	2	2	no	—
1852	C₂×Q₈	—	2	2	no	—
1853	C₂×Q₈	—	2	2	no	—
1854	C₂×Q₈	—	2	2	no	—
1855	C₂×Q₈	—	2	2	no	—
1856	C₂×Q₈	—	2	2	no	—
1857	C₂×Q₈	—	2	2	no	—
1858	C₂×Q₈	—	2	2	no	—
1859	C₂×Q₈	—	2	2	no	—
1860	C₂×Q₈	—	2	2	no	—
1861	C₂×Q₈	—	2	4	no	—
1862	C₂×Q₈	—	2	2	no	—
1863	C₂×Q₈	—	2	2	no	—
1864	C₂×Q₈	—	4	1	no	—
1865	C₂×Q₈	—	4	1	no	—
1866	C₂×Q₈	—	4	1	no	—
1867	C₂×Q₈	—	4	1	no	—
1868	C₂×Q₈	—	4	2	no	—
1869	C₂×Q₈	—	4	1	no	—
1870	C₂×Q₈	—	4	2	no	—
1871	C₂×Q₈	—	4	2	no	—
1872	C₂×Q₈	—	4	2	no	—
1873	C₂×Q₈	—	4	1	no	—
1874	C₂×Q₈	—	4	2	no	—
1875	C₂×Q₈	—	4	2	no	—
1876	C₂×Q₈	—	4	2	no	—
1877	C₂×Q₈	—	4	2	no	—
1878	C₂×Q₈	C₂×#41	1	4	yes	—
1879	C₂×D₄	—	2	4	no	—
1880	C₂×D₄	—	2	4	no	—
1881	C₂×D₄	—	2	4	no	—
1882	C₂×D₄	—	2	2	no	—
1883	C₂×D₄	—	2	4	no	—
1884	C₂×D₄	—	2	2	no	—
1885	C₂×D₄	—	2	2	no	—
1886	C₂×D₄	—	2	4	no	—
1887	C₂×D₄	—	2	2	no	—
1888	C₂×D₄	—	2	2	no	—
1889	C₂×D₄	—	2	2	no	—
1890	C₂×D₄	—	2	2	no	—
1891	C₂×D₄	—	2	2	no	—
1892	C₂×D₄	—	2	2	no	—
1893	C₂×D₄	—	2	4	no	—
1894	C₂×D₄	—	2	4	no	—
1895	C₂×D₄	—	4	2	no	—
1896	C₂×D₄	—	4	2	no	—
1897	C₂×D₄	—	4	2	no	—
1898	C₂×D₄	—	4	2	no	—
1899	C₂×D₄	—	4	2	no	—
1900	C₂×D₄	—	4	2	no	—
1901	C₂×D₄	—	4	2	no	—
1902	C₂×D₄	—	4	2	no	—
1903	C₂×D₄	—	4	2	no	—
1904	C₂×D₄	—	4	2	no	—
1905	C₂×D₄	—	4	2	no	—
1906	C₂×D₄	—	4	2	no	—
1907	C₂×D₄	—	4	2	no	—
1908	C₂×D₄	—	4	2	no	—
1909	C₂×D₄	—	4	2	no	—
1910	C₂×D₄	—	4	2	no	—
1911	C₂×D₄	—	4	2	no	—
1912	C₂×D₄	—	4	2	no	—
1913	C₂×D₄	—	4	2	no	—
1914	C₂×D₄	—	4	2	no	—
1915	C₂²×C₄	—	2	2	no	—
1916	C₂²×C₄	—	2	2	no	—
1917	C₂²×C₄	—	2	2	no	—
1918	C₂²×C₄	—	2	2	no	—
1919	C₂²×C₄	—	2	2	no	—
1920	C₂²×C₄	—	2	2	no	—
1921	C₂²×C₄	—	2	2	no	—
1922	C₂²×C₄	—	2	2	no	—
1923	C₂²×C₄	—	2	2	no	—
1924	C₂²×C₄	—	2	2	no	—
1925	C₂²×C₄	—	2	4	no	—
1926	C₂²×C₄	—	2	4	no	—
1927	C₂²×C₄	—	2	4	no	—
1928	C₂²×C₄	—	2	4	no	—
1929	C₂²×C₄	—	2	4	no	—
1930	C₂²×C₄	—	2	4	no	—
1931	C₂²×C₄	—	4	1	no	—
1932	C₂²×C₄	—	4	1	no	—
1933	C₂²×C₄	—	4	2	no	—
1934	C₂²×C₄	—	4	2	no	—
1935	C₂²×C₄	—	4	1	no	—
1936	C₂²×C₄	—	4	1	no	—
1937	C₂²×C₄	—	4	1	no	—
1938	C₂²×C₄	—	4	2	no	—
1939	C₂²×C₄	—	4	2	no	—
1940	C₂²×C₄	—	4	2	no	—
1941	C₂²×C₄	—	4	2	no	—
1942	C₂²×C₄	—	4	2	no	—
1943	C₂²×C₄	—	4	2	no	—
1944	C₂²×C₄	—	4	2	no	—
1945	C₂²×C₄	—	4	1	no	—
1946	C₂²×C₄	—	4	2	no	—
1947	C₂²×C₄	—	4	2	no	—
1948	C₂²×C₄	—	4	2	no	—
1949	C₂²×C₄	—	4	2	no	—
1950	C₂²×C₄	—	4	2	no	—
1951	C₂²×C₄	—	4	2	no	—
1952	C₂²×C₄	—	4	2	no	—
1953	C₂²×C₄	—	4	1	no	—
1954	C₂²×C₄	—	4	1	no	—
1955	C₂²×C₄	—	4	2	no	—
1956	C₂²×C₄	—	4	1	no	—
1957	C₂²×C₄	—	4	1	no	—
1958	C₂²×C₄	—	4	2	no	—
1959	C₂²×C₄	—	4	2	no	—
1960	C₂²×C₄	—	4	2	no	—
1961	C₂²×C₄	—	4	2	no	—
1962	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1963	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1964	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1965	C₂²×C₄	C₂⁵	1	2	yes	—
1966	C₂²×C₄	C₂⁵	1	2	yes	—
1967	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1968	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1969	C₂²×C₄	C₂⁵	1	2	yes	—
1970	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1971	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1972	C₂²×C₄	C₂⁵	1	2	yes	—
1973	C₂²×C₄	C₂⁵	1	2	yes	—
1974	C₂²×C₄	C₂⁵	1	2	yes	—
1975	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1976	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1977	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1978	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1979	C₂²×C₄	C₂⁵	1	2	yes	—
1980	C₂²×C₄	C₂⁵	1	2	yes	—
1981	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1982	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1983	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1984	C₂²×C₄	C₂⁵	1	2	yes	—
1985	C₂²×C₄	C₂⁵	1	2	yes	—
1986	C₂²×C₄	C₂⁵	1	2	yes	—
1987	C₂²×C₄	C₂⁵	1	2	yes	—
1988	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1989	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1990	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1991	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1992	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1993	C₂²×C₄	C₂⁵	1	2	yes	—
1994	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1995	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1996	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1997	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1998	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1999	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2000	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2001	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2002	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2003	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2004	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2005	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2006	C₄⋊C₄	—	2	4	no	—
2007	C₄⋊C₄	—	2	2	no	—
2008	C₄⋊C₄	—	2	2	no	—
2009	C₄⋊C₄	—	2	2	no	—
2010	C₄⋊C₄	—	2	2	no	—
2011	C₄⋊C₄	—	2	2	no	—
2012	C₄⋊C₄	—	2	2	no	—
2013	C₄⋊C₄	—	2	2	no	—
2014	C₄⋊C₄	—	2	2	no	—
2015	C₄⋊C₄	—	2	2	no	—
2016	C₄⋊C₄	—	2	2	no	—
2017	C₄⋊C₄	—	2	2	no	—
2018	C₄⋊C₄	—	2	2	no	—
2019	C₄⋊C₄	—	2	4	no	—
2020	C₄⋊C₄	—	2	4	no	—
2021	C₄⋊C₄	—	2	2	no	—
2022	C₄⋊C₄	—	2	2	no	—
2023	C₄⋊C₄	—	2	2	no	—
2024	C₄⋊C₄	—	2	4	no	—
2025	C₄⋊C₄	—	2	4	no	—
2026	C₄⋊C₄	—	2	2	no	—
2027	C₄⋊C₄	—	2	2	no	—
2028	C₄⋊C₄	—	2	4	no	—
2029	C₄⋊C₄	—	2	4	no	—
2030	C₄⋊C₄	—	2	4	no	—
2031	C₄⋊C₄	—	2	2	no	—
2032	C₄⋊C₄	—	2	2	no	—
2033	C₄⋊C₄	—	2	2	no	—
2034	C₄⋊C₄	—	2	2	no	—
2035	C₄⋊C₄	—	2	2	no	—
2036	C₄⋊C₄	—	2	2	no	—
2037	C₄⋊C₄	—	2	2	no	—
2038	C₄⋊C₄	—	2	2	no	—
2039	C₄⋊C₄	—	2	4	no	—
2040	C₄⋊C₄	—	2	4	no	—
2041	C₄⋊C₄	—	2	4	no	—
2042	C₄⋊C₄	—	2	2	no	—
2043	C₄⋊C₄	—	2	2	no	—
2044	C₄⋊C₄	—	2	2	no	—
2045	C₄⋊C₄	—	2	2	no	—
2046	C₄⋊C₄	—	2	4	no	—
2047	C₄⋊C₄	—	2	2	no	—
2048	C₄⋊C₄	—	2	2	no	—
2049	C₄⋊C₄	—	2	2	no	—
2050	C₄⋊C₄	—	2	4	no	—
2051	C₄⋊C₄	—	2	2	no	—
2052	C₄⋊C₄	—	4	1	no	—
2053	C₄⋊C₄	—	4	1	no	—
2054	C₄⋊C₄	—	4	1	no	—
2055	C₄⋊C₄	—	4	2	no	—
2056	C₄⋊C₄	—	4	1	no	—
2057	C₄⋊C₄	—	4	2	no	—
2058	C₄⋊C₄	—	4	2	no	—
2059	C₄⋊C₄	—	4	2	no	—
2060	C₄⋊C₄	—	4	1	no	—
2061	C₄⋊C₄	—	4	2	no	—
2062	C₄⋊C₄	—	4	1	no	—
2063	C₄⋊C₄	—	4	2	no	—
2064	C₄⋊C₄	—	4	1	no	—
2065	C₄⋊C₄	—	4	1	no	—
2066	C₄⋊C₄	—	4	2	no	—
2067	C₄⋊C₄	—	4	2	no	—
2068	C₄⋊C₄	—	4	2	no	—
2069	C₄⋊C₄	—	4	2	no	—
2070	C₄⋊C₄	—	4	2	no	—
2071	C₄⋊C₄	—	4	2	no	—
2072	C₄⋊C₄	—	4	2	no	—
2073	C₄⋊C₄	—	4	2	no	—
2074	C₄⋊C₄	—	4	2	no	—
2075	C₄⋊C₄	—	4	2	no	—
2076	C₄⋊C₄	—	4	1	no	—
2077	C₄⋊C₄	—	4	2	no	—
2078	C₄⋊C₄	—	4	2	no	—
2079	C₄⋊C₄	—	4	2	no	—
2080	C₄⋊C₄	—	4	1	no	—
2081	C₄⋊C₄	—	4	1	no	—
2082	C₄⋊C₄	—	4	1	no	—
2083	C₄⋊C₄	—	4	1	no	—
2084	C₄⋊C₄	—	4	1	no	—
2085	C₄⋊C₄	—	4	1	no	—
2086	C₄⋊C₄	—	4	2	no	—
2087	C₄⋊C₄	—	4	2	no	—
2088	C₄⋊C₄	—	4	2	no	—
2089	C₄⋊C₄	—	4	2	no	—
2090	C₄⋊C₄	—	4	2	no	—
2091	C₄⋊C₄	—	4	2	no	—
2092	C₄⋊C₄	—	4	2	no	—
2093	C₄⋊C₄	—	4	2	no	—
2094	C₄⋊C₄	—	4	2	no	—
2095	C₄⋊C₄	—	4	2	no	—
2096	C₄⋊C₄	—	4	2	no	—
2097	C₄⋊C₄	—	4	2	no	—
2098	C₄⋊C₄	—	4	2	no	—
2099	C₄⋊C₄	—	4	1	no	—
2100	C₄⋊C₄	—	4	2	no	—
2101	C₄⋊C₄	—	4	2	no	—
2102	C₄⋊C₄	—	4	2	no	—
2103	C₄⋊C₄	—	4	2	no	—
2104	C₄⋊C₄	—	4	2	no	—
2105	C₄⋊C₄	—	4	1	no	—
2106	C₄⋊C₄	—	4	2	no	—
2107	C₄⋊C₄	—	4	2	no	—
2108	C₄⋊C₄	—	4	2	no	—
2109	C₄⋊C₄	—	4	2	no	—
2110	C₄⋊C₄	—	4	2	no	—
2111	C₄⋊C₄	—	4	2	no	—
2112	C₄⋊C₄	—	4	2	no	—
2113	C₄⋊C₄	—	4	2	no	—
2114	C₄⋊C₄	—	4	2	no	—
2115	C₄⋊C₄	—	4	1	no	—
2116	C₄⋊C₄	C₂×#41	1	4	yes	—
2117	C₄⋊C₄	C₂×#41	1	4	yes	—
2118	C₄⋊C₄	C₂×#41	1	4	yes	—
2119	C₂²⋊C₄	—	2	2	no	—
2120	C₂²⋊C₄	—	2	2	no	—
2121	C₂²⋊C₄	—	2	4	no	—
2122	C₂²⋊C₄	—	2	4	no	—
2123	C₂²⋊C₄	—	2	4	no	—
2124	C₂²⋊C₄	—	2	2	no	—
2125	C₂²⋊C₄	—	2	2	no	—
2126	C₂²⋊C₄	—	2	2	no	—
2127	C₂²⋊C₄	—	2	2	no	—
2128	C₂²⋊C₄	—	2	4	no	—
2129	C₂²⋊C₄	—	2	4	no	—
2130	C₂²⋊C₄	—	2	4	no	—
2131	C₂²⋊C₄	—	2	4	no	—
2132	C₂²⋊C₄	—	2	4	no	—
2133	C₂²⋊C₄	—	2	4	no	—
2134	C₂²⋊C₄	—	2	4	no	—
2135	C₂²⋊C₄	—	2	4	no	—
2136	C₂²⋊C₄	—	2	4	no	—
2137	C₂²⋊C₄	—	2	4	no	—
2138	C₂²⋊C₄	—	2	4	no	—
2139	C₂²⋊C₄	—	2	4	no	—
2140	C₂²⋊C₄	—	2	4	no	—
2141	C₂²⋊C₄	—	2	4	no	—
2142	C₂²⋊C₄	—	2	2	no	—
2143	C₂²⋊C₄	—	2	2	no	—
2144	C₂²⋊C₄	—	2	4	no	—
2145	C₂²⋊C₄	—	2	4	no	—
2146	C₂²⋊C₄	—	2	4	no	—
2147	C₂²⋊C₄	—	2	4	no	—
2148	C₂²⋊C₄	—	2	4	no	—
2149	C₂²⋊C₄	—	4	2	no	—
2150	C₂²⋊C₄	—	4	2	no	—
2151	C₂²⋊C₄	—	4	2	no	—
2152	C₂²⋊C₄	—	4	2	no	—
2153	C₂²⋊C₄	—	4	2	no	—
2154	C₂²⋊C₄	—	4	2	no	—
2155	C₂²⋊C₄	—	4	2	no	—
2156	C₂²⋊C₄	—	4	2	no	—
2157	C₂²⋊C₄	—	4	2	no	—
2158	C₂²⋊C₄	—	4	2	no	—
2159	C₂²⋊C₄	—	4	2	no	—
2160	C₂²⋊C₄	—	4	2	no	—
2161	C₂²⋊C₄	—	4	2	no	—
2162	C₂²⋊C₄	—	4	2	no	—
2163	C₂²⋊C₄	—	4	2	no	—
2164	C₂²⋊C₄	—	4	2	no	—
2165	C₂²⋊C₄	—	4	2	no	—
2166	C₂²⋊C₄	—	4	2	no	—
2167	C₂²⋊C₄	—	4	2	no	—
2168	C₂²⋊C₄	—	4	2	no	—
2169	C₂²⋊C₄	—	4	2	no	—
2170	C₂²⋊C₄	—	4	2	no	—
2171	C₂²⋊C₄	—	4	2	no	—
2172	C₂²⋊C₄	—	4	2	no	—
2173	C₂²⋊C₄	—	4	2	no	—
2174	C₂²⋊C₄	—	4	2	no	—
2175	C₂²⋊C₄	—	4	2	no	—
2176	C₂²⋊C₄	—	4	2	no	—
2177	C₂²⋊C₄	—	4	2	no	—
2178	C₂²⋊C₄	—	4	2	no	—
2179	C₂²⋊C₄	—	4	2	no	—
2180	C₂²⋊C₄	—	4	2	no	—
2181	C₂²⋊C₄	—	4	2	no	—
2182	C₂²⋊C₄	—	4	2	no	—
2183	C₂²⋊C₄	—	4	2	no	—
2184	C₂²⋊C₄	—	4	2	no	—
2185	C₂²⋊C₄	—	4	2	no	—
2186	C₂²⋊C₄	—	4	2	no	—
2187	C₂²⋊C₄	—	4	2	no	—
2188	C₂²⋊C₄	—	4	2	no	—
2189	C₂²⋊C₄	—	4	2	no	—
2190	C₂²⋊C₄	—	4	2	no	—
2191	C₂²⋊C₄	—	4	2	no	—
2192	C₂²⋊C₄	—	4	2	no	—
2193	C₂²⋊C₄	—	4	2	no	—
2194	C₂²⋊C₄	—	4	2	no	—
2195	C₂²⋊C₄	—	4	2	no	—
2196	C₂²⋊C₄	—	4	2	no	—
2197	C₂²⋊C₄	—	4	2	no	—
2198	C₄²	—	2	2	no	—
2199	C₄²	—	2	2	no	—
2200	C₄²	—	2	2	no	—
2201	C₄²	—	2	2	no	—
2202	C₄²	—	2	2	no	—
2203	C₄²	—	2	4	no	—
2204	C₄²	—	2	4	no	—
2205	C₄²	—	2	4	no	—
2206	C₄²	—	2	2	no	—
2207	C₄²	—	2	2	no	—
2208	C₄²	—	2	2	no	—
2209	C₄²	—	2	2	no	—
2210	C₄²	—	2	2	no	—
2211	C₄²	—	2	2	no	—
2212	C₄²	—	2	2	no	—
2213	C₄²	—	2	2	no	—
2214	C₄²	—	2	2	no	—
2215	C₄²	—	2	2	no	—
2216	C₄²	—	2	2	no	—
2217	C₄²	—	2	2	no	—
2218	C₄²	—	2	2	no	—
2219	C₄²	—	2	2	no	—
2220	C₄²	—	2	2	no	—
2221	C₄²	—	4	1	no	—
2222	C₄²	—	4	1	no	—
2223	C₄²	—	4	1	no	—
2224	C₄²	—	4	1	no	—
2225	C₄²	—	4	1	no	—
2226	C₄²	—	4	1	no	—
2227	C₄²	—	4	2	no	—
2228	C₄²	—	4	2	no	—
2229	C₄²	—	4	2	no	—
2230	C₄²	—	4	2	no	—
2231	C₄²	—	4	1	no	—
2232	C₄²	—	4	1	no	—
2233	C₄²	—	4	2	no	—
2234	C₄²	—	4	2	no	—
2235	C₄²	—	4	1	no	—
2236	C₄²	—	4	1	no	—
2237	C₄²	—	4	1	no	—
2238	C₄²	—	4	1	no	—
2239	C₄²	—	4	1	no	—
2240	C₄²	—	4	1	no	—
2241	C₄²	—	4	1	no	—
2242	C₄²	—	4	1	no	—
2243	C₄²	—	4	2	no	—
2244	C₄²	—	4	2	no	—
2245	C₄²	—	4	2	no	—
2246	C₄²	—	4	1	no	—
2247	C₄²	—	4	2	no	—
2248	C₄²	—	4	2	no	—
2249	C₄²	—	4	2	no	—
2250	C₄²	—	4	1	no	—
2251	C₄²	—	4	1	no	—
2252	C₄²	—	4	1	no	—
2253	C₄²	C₂×#41	1	4	yes	—
2254	C₄²	C₂×#41	1	4	yes	—
2255	C₄²	C₂×#41	1	4	yes	—
2256	C₄²	2₋¹⁺⁴	1	4	yes	—
2257	C₂³	—	2	1	no	—
2258	C₂³	—	2	1	no	—
2259	C₂³	—	2	1	no	—
2260	C₂³	—	2	1	no	—
2261	C₂³	—	2	1	no	—
2262	C₂³	—	2	1	no	—
2263	C₂³	—	2	2	no	—
2264	C₂³	—	2	2	no	—
2265	C₂³	—	2	2	no	—
2266	C₂³	—	2	2	no	—
2267	C₂³	—	2	2	no	—
2268	C₂³	—	2	2	no	—
2269	C₂³	—	2	2	no	—
2270	C₂³	—	2	2	no	—
2271	C₂³	—	2	2	no	—
2272	C₂³	—	2	2	no	—
2273	C₂³	—	2	2	no	—
2274	C₂³	—	2	2	no	—
2275	C₂³	—	2	2	no	—
2276	C₂³	—	2	2	no	—
2277	C₂³	—	2	2	no	—
2278	C₂³	—	2	2	no	—
2279	C₂³	—	2	2	no	—
2280	C₂³	—	2	2	no	—
2281	C₂³	—	2	2	no	—
2282	C₂³	—	2	2	no	—
2283	C₂³	—	2	2	no	—
2284	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
2285	C₂³	C₂⁶	1	1	yes	characteristic
2286	Q₈	—	4	4	no	—
2287	Q₈	—	4	4	no	—
2288	Q₈	—	4	4	no	—
2289	Q₈	—	4	4	no	—
2290	Q₈	—	4	4	no	—
2291	Q₈	—	4	4	no	—
2292	Q₈	—	8	2	no	—
2293	Q₈	—	8	4	no	—
2294	Q₈	—	8	4	no	—
2295	Q₈	—	16	2	no	—
2296	D₄	—	4	8	no	—
2297	D₄	—	4	8	no	—
2298	D₄	—	4	8	no	—
2299	D₄	—	4	4	no	—
2300	D₄	—	4	4	no	—
2301	D₄	—	4	4	no	—
2302	D₄	—	8	4	no	—
2303	D₄	—	8	4	no	—
2304	D₄	—	8	4	no	—
2305	D₄	—	8	4	no	—
2306	D₄	—	8	4	no	—
2307	D₄	—	8	4	no	—
2308	C₂×C₄	—	2	1	no	—
2309	C₂×C₄	—	2	1	no	—
2310	C₂×C₄	—	2	1	no	—
2311	C₂×C₄	—	2	1	no	—
2312	C₂×C₄	—	2	1	no	—
2313	C₂×C₄	—	2	1	no	—
2314	C₂×C₄	—	2	1	no	—
2315	C₂×C₄	—	2	1	no	—
2316	C₂×C₄	—	2	1	no	—
2317	C₂×C₄	—	2	1	no	—
2318	C₂×C₄	—	2	1	no	—
2319	C₂×C₄	—	2	1	no	—
2320	C₂×C₄	—	2	1	no	—
2321	C₂×C₄	—	2	1	no	—
2322	C₂×C₄	—	2	1	no	—
2323	C₂×C₄	—	2	1	no	—
2324	C₂×C₄	—	2	1	no	—
2325	C₂×C₄	—	2	1	no	—
2326	C₂×C₄	—	2	1	no	—
2327	C₂×C₄	—	2	1	no	—
2328	C₂×C₄	—	2	1	no	—
2329	C₂×C₄	—	2	1	no	—
2330	C₂×C₄	—	2	8	no	—
2331	C₂×C₄	—	2	2	no	—
2332	C₂×C₄	—	2	1	no	—
2333	C₂×C₄	—	2	2	no	—
2334	C₂×C₄	—	2	2	no	—
2335	C₂×C₄	—	2	2	no	—
2336	C₂×C₄	—	2	2	no	—
2337	C₂×C₄	—	2	1	no	—
2338	C₂×C₄	—	2	1	no	—
2339	C₂×C₄	—	2	1	no	—
2340	C₂×C₄	—	2	1	no	—
2341	C₂×C₄	—	2	1	no	—
2342	C₂×C₄	—	2	1	no	—
2343	C₂×C₄	—	2	1	no	—
2344	C₂×C₄	—	2	1	no	—
2345	C₂×C₄	—	2	1	no	—
2346	C₂×C₄	—	2	1	no	—
2347	C₂×C₄	—	2	1	no	—
2348	C₂×C₄	—	2	1	no	—
2349	C₂×C₄	—	2	1	no	—
2350	C₂×C₄	—	2	1	no	—
2351	C₂×C₄	—	2	1	no	—
2352	C₂×C₄	—	2	2	no	—
2353	C₂×C₄	—	2	2	no	—
2354	C₂×C₄	—	2	2	no	—
2355	C₂×C₄	—	2	2	no	—
2356	C₂×C₄	—	2	2	no	—
2357	C₂×C₄	—	2	2	no	—
2358	C₂×C₄	—	2	2	no	—
2359	C₂×C₄	—	2	2	no	—
2360	C₂×C₄	—	2	2	no	—
2361	C₂×C₄	—	2	1	no	—
2362	C₂×C₄	—	2	1	no	—
2363	C₂×C₄	—	2	2	no	—
2364	C₂×C₄	—	2	2	no	—
2365	C₂×C₄	—	2	2	no	—
2366	C₂×C₄	—	2	2	no	—
2367	C₂×C₄	—	2	2	no	—
2368	C₂×C₄	—	2	1	no	—
2369	C₂×C₄	—	2	1	no	—
2370	C₂×C₄	—	2	1	no	—
2371	C₂×C₄	—	2	1	no	—
2372	C₂×C₄	—	2	1	no	—
2373	C₂×C₄	—	2	2	no	—
2374	C₂×C₄	—	2	1	no	—
2375	C₂×C₄	—	2	1	no	—
2376	C₂×C₄	—	2	1	no	—
2377	C₂×C₄	—	2	2	no	—
2378	C₂×C₄	—	2	1	no	—
2379	C₂×C₄	—	2	2	no	—
2380	C₂×C₄	—	2	1	no	—
2381	C₂×C₄	—	2	1	no	—
2382	C₂×C₄	—	2	1	no	—
2383	C₂×C₄	—	2	1	no	—
2384	C₂×C₄	—	2	2	no	—
2385	C₂×C₄	—	2	2	no	—
2386	C₂×C₄	—	2	1	no	—
2387	C₂×C₄	—	2	2	no	—
2388	C₂×C₄	—	2	2	no	—
2389	C₂×C₄	—	2	2	no	—
2390	C₂×C₄	—	2	2	no	—
2391	C₂×C₄	—	2	2	no	—
2392	C₂×C₄	—	2	1	no	—
2393	C₂×C₄	—	2	1	no	—
2394	C₂×C₄	—	2	1	no	—
2395	C₂×C₄	—	2	1	no	—
2396	C₂×C₄	—	2	2	no	—
2397	C₂×C₄	—	2	1	no	—
2398	C₂×C₄	—	2	1	no	—
2399	C₂×C₄	—	2	1	no	—
2400	C₂×C₄	—	2	1	no	—
2401	C₂×C₄	—	2	1	no	—
2402	C₂×C₄	—	2	2	no	—
2403	C₂×C₄	—	2	2	no	—
2404	C₂×C₄	—	2	1	no	—
2405	C₂×C₄	—	2	2	no	—
2406	C₂×C₄	—	2	2	no	—
2407	C₂×C₄	—	2	2	no	—
2408	C₂×C₄	—	2	2	no	—
2409	C₂×C₄	—	2	1	no	—
2410	C₂×C₄	—	2	1	no	—
2411	C₂×C₄	—	2	1	no	—
2412	C₂×C₄	—	2	1	no	—
2413	C₂×C₄	—	2	1	no	—
2414	C₂×C₄	—	2	1	no	—
2415	C₂×C₄	—	2	1	no	—
2416	C₂×C₄	—	2	1	no	—
2417	C₂×C₄	—	2	1	no	—
2418	C₂×C₄	—	2	1	no	—
2419	C₂×C₄	—	2	2	no	—
2420	C₂×C₄	—	2	2	no	—
2421	C₂×C₄	—	2	2	no	—
2422	C₂×C₄	—	2	1	no	—
2423	C₂×C₄	—	2	1	no	—
2424	C₂×C₄	—	4	4	no	—
2425	C₂×C₄	—	4	4	no	—
2426	C₂×C₄	—	8	4	no	—
2427	C₂×C₄	—	8	4	no	—
2428	C₂×C₄	—	8	2	no	—
2429	C₂×C₄	—	8	4	no	—
2430	C₂×C₄	—	8	4	no	—
2431	C₂×C₄	—	8	4	no	—
2432	C₂×C₄	—	8	4	no	—
2433	C₂×C₄	—	8	2	no	—
2434	C₂×C₄	—	8	2	no	—
2435	C₂×C₄	—	8	2	no	—
2436	C₂×C₄	—	8	4	no	—
2437	C₂×C₄	—	8	4	no	—
2438	C₂×C₄	—	16	2	no	—
2439	C₂×C₄	C₂²×#41	1	2	yes	—
2440	C₂×C₄	C₂²×#41	1	2	yes	—
2441	C₂×C₄	C₂²×#41	1	2	yes	—
2442	C₂×C₄	C₂²×#41	1	2	yes	—
2443	C₂×C₄	C₂²×#41	1	2	yes	—
2444	C₂×C₄	C₂²×#41	1	2	yes	—
2445	C₂×C₄	C₂²×#41	1	2	yes	—
2446	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2447	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2448	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2449	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2450	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2451	C₂×C₄	#585	1	2	yes	—
2452	C₂×C₄	#585	1	2	yes	—
2453	C₂²	—	2	2	no	—
2454	C₂²	—	2	2	no	—
2455	C₂²	—	2	2	no	—
2456	C₂²	—	4	1	no	—
2457	C₂²	—	4	1	no	—
2458	C₂²	—	4	1	no	—
2459	C₂²	—	4	1	no	—
2460	C₂²	—	4	2	no	—
2461	C₂²	—	4	2	no	—
2462	C₂²	—	4	2	no	—
2463	C₂²	—	4	2	no	—
2464	C₂²	—	4	2	no	—
2465	C₂²	—	4	2	no	—
2466	C₂²	—	4	2	no	—
2467	C₂²	—	4	2	no	—
2468	C₂²	—	4	2	no	—
2469	C₂²	—	4	2	no	—
2470	C₂²	—	4	2	no	—
2471	C₂²	—	4	2	no	—
2472	C₂²	—	4	2	no	—
2473	C₂²	—	4	2	no	—
2474	C₂²	—	4	2	no	—
2475	C₂²	—	4	2	no	—
2476	C₂²	—	4	2	no	—
2477	C₂²	—	4	2	no	—
2478	C₂²	—	4	2	no	—
2479	C₂²	—	4	2	no	—
2480	C₂²	—	4	2	no	—
2481	C₂²	C₂³×#41	1	1	yes	characteristic
2482	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2483	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2484	C₂²	C₂×#585	1	1	yes	characteristic
2485	C₂²	C₂×#585	1	1	yes	characteristic
2486	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
2487	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2488	C₄	—	2	2	no	—
2489	C₄	—	2	2	no	—
2490	C₄	—	2	2	no	—
2491	C₄	—	2	2	no	—
2492	C₄	—	2	2	no	—
2493	C₄	—	2	2	no	—
2494	C₄	—	2	2	no	—
2495	C₄	—	2	2	no	—
2496	C₄	—	2	2	no	—
2497	C₄	—	2	2	no	—
2498	C₄	—	2	2	no	—
2499	C₄	—	4	2	no	—
2500	C₄	—	4	2	no	—
2501	C₄	—	4	2	no	—
2502	C₄	—	4	2	no	—
2503	C₄	—	4	1	no	—
2504	C₄	—	4	1	no	—
2505	C₄	—	4	2	no	—
2506	C₄	—	4	1	no	—
2507	C₄	—	4	1	no	—
2508	C₄	—	4	1	no	—
2509	C₄	—	4	1	no	—
2510	C₄	—	4	1	no	—
2511	C₄	—	4	2	no	—
2512	C₄	—	4	1	no	—
2513	C₄	—	4	2	no	—
2514	C₄	—	4	2	no	—
2515	C₄	—	4	2	no	—
2516	C₄	—	4	1	no	—
2517	C₄	—	4	1	no	—
2518	C₄	—	4	1	no	—
2519	C₄	—	4	1	no	—
2520	C₄	—	4	1	no	—
2521	C₄	—	4	1	no	—
2522	C₄	—	4	2	no	—
2523	C₄	—	4	1	no	—
2524	C₄	—	4	1	no	—
2525	C₄	—	4	2	no	—
2526	C₄	—	4	1	no	—
2527	C₄	—	4	1	no	—
2528	C₄	—	4	2	no	—
2529	C₄	—	4	2	no	—
2530	C₄	#3522	1	4	yes	—
2531	C₂	—	4	2	no	—
2532	C₂	—	8	2	no	—
2533	C₂	—	8	2	no	—
2534	C₂	—	8	2	no	—
2535	C₂	C₂×#3522	1	1	yes	characteristic
2536	C₂	#62810	1	1	yes	characteristic
2537	C₂	#62856	1	1	yes	characteristic
2538	C₂	#62924	1	1	yes	characteristic
2539	C₂	#62925	1	1	yes	characteristic
2540	C₂	#62932	1	1	yes	characteristic
2541	C₂	#62962	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#34624	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. #51953	C₂	semidirect
2. #51950	C₂	semidirect
3. #51928	C₂	semidirect
4. #51925	C₂	semidirect
5. #50258	C₂	semidirect
6. #49648	C₂	semidirect
7. #49072	C₂	semidirect
8. #48261	C₂	semidirect
9. #44381	C₂	semidirect
10. #44306	C₂	semidirect
11. #44217	C₂	semidirect
12. #44132	C₂	semidirect
13. #43972	C₂	semidirect
14. #43945	C₂	semidirect
15. #43386	C₂	semidirect
16. #43186	C₂	semidirect
17. #39811	C₂	semidirect
18. #39810	C₂	semidirect
19. #39741	C₂	semidirect
20. #39727	C₂	semidirect
21. #39718	C₂	semidirect
22. #39673	C₂	semidirect
23. #39672	C₂	semidirect
24. #39626	C₂	semidirect
25. #37799	C₂	semidirect
26. #37799	C₂	semidirect
27. #37797	C₂	semidirect
28. #37794	C₂	semidirect
29. #37405	C₂	semidirect
30. #37368	C₂	semidirect
31. #37368	C₂	semidirect
32. #37352	C₂	semidirect
33. #36609	C₂	semidirect
34. #36555	C₂	semidirect
35. #36139	C₂	semidirect
36. #36116	C₂	semidirect
37. #35343	C₂	semidirect
38. #35324	C₂	semidirect
39. #35318	C₂	semidirect
40. #35290	C₂	semidirect
41. #35268	C₂	semidirect
42. #35186	C₂	semidirect
43. #35117	C₂	semidirect
45. #34499	C₂	semidirect
46. #34498	C₂	semidirect
47. #34145	C₂	semidirect
1434. C₄×Q₈	#41	semidirect

Maximal subgroups

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

subgroup	index
#51953	2
#51950	2
#51928	2
#51925	2
#50258	2
#49648	2
#49072	2
#48261	2
#44381	2
#44306	2
#44217	2
#44132	2
#43972	2
#43945	2
#43386	2
#43186	2
#39811	2
#39810	2
#39741	2
#39727	2
#39718	2
#39673	2
#39672	2
#39626	2
#37799	2
#37797	2
#37794	2
#37405	2
#37368	2
#37352	2
#36609	2
#36555	2
#36139	2
#36116	2
#35343	2
#35324	2
#35318	2
#35290	2
#35268	2
#35186	2
#35117	2
#34624	2
#34499	2
#34498	2
#34145	2