Subgroups — #8097719

Order 512.

4357 conjugacy classes of subgroups.

The subgroup lattice has 2511 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#53144	C₂	1	1	yes	maximal, characteristic, complemented
2	#53118	C₂	1	1	yes	maximal, characteristic, complemented
3	#53077	C₂	1	1	yes	maximal, characteristic, complemented
4	#53051	C₂	1	1	yes	maximal, characteristic, complemented
5	#53049	C₂	1	1	yes	maximal, characteristic, complemented
6	#53012	C₂	1	1	yes	maximal, characteristic, complemented
7	#52950	C₂	1	2	yes	maximal, complemented
8	#52946	C₂	1	2	yes	maximal, complemented
9	#52934	C₂	1	2	yes	maximal, complemented
10	#52900	C₂	1	2	yes	maximal, complemented
11	#52811	C₂	1	2	yes	maximal, complemented
12	#52809	C₂	1	2	yes	maximal, complemented
13	#52295	C₂	1	1	yes	maximal, characteristic, complemented
14	#52289	C₂	1	2	yes	maximal, complemented
15	#46285	C₂	1	2	yes	maximal, complemented
16	#46268	C₂	1	2	yes	maximal, complemented
17	#46129	C₂	1	2	yes	maximal, complemented
18	#46123	C₂	1	2	yes	maximal, complemented
19	#45934	C₂	1	2	yes	maximal, complemented
20	#45874	C₂	1	2	yes	maximal, complemented
21	#45755	C₂	1	2	yes	maximal, complemented
22	#45677	C₂	1	1	yes	maximal, characteristic, complemented
23	#45675	C₂	1	1	yes	maximal, characteristic, complemented
24	#45666	C₂	1	2	yes	maximal, complemented
25	#45663	C₂	1	1	yes	maximal, characteristic, complemented
26	#45628	C₂	1	1	yes	maximal, characteristic, complemented
27	#45525	C₂	1	1	yes	maximal, characteristic, complemented
28	#45521	C₂	1	2	yes	maximal, complemented
29	#45515	C₂	1	1	yes	maximal, characteristic, complemented
30	#45503	C₂	1	1	yes	maximal, characteristic, complemented
31	#45500	C₂	1	1	yes	maximal, characteristic, complemented
32	#45499	C₂	1	1	yes	maximal, characteristic, complemented
33	#36506	C₂	1	1	yes	maximal, characteristic, complemented
34	#36504	C₂	1	1	yes	maximal, characteristic, complemented
35	#36473	C₂	1	1	yes	maximal, characteristic, complemented
36	#36473	C₂	1	1	yes	maximal, characteristic, complemented
37	#36450	C₂	1	1	yes	maximal, characteristic, complemented
38	#36443	C₂	1	1	yes	maximal, characteristic, complemented
39	#36420	C₂	1	1	yes	maximal, characteristic, complemented
40	#36414	C₂	1	1	yes	maximal, characteristic, complemented
41	#36405	C₂	1	1	yes	maximal, characteristic, complemented
42	#36050	C₂	1	1	yes	maximal, characteristic, complemented
43	#36048	C₂	1	1	yes	maximal, characteristic, complemented
44	#36030	C₂	1	1	yes	maximal, characteristic, complemented
45	#36007	C₂	1	1	yes	maximal, characteristic, complemented
46	#35870	C₂	1	1	yes	maximal, characteristic, complemented
47	#35817	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#556	C₂²	1	1	yes	characteristic
49	C₂×#556	C₂²	1	1	yes	characteristic
50	C₂×#556	C₂²	1	1	yes	characteristic
51	C₂×#556	C₂²	1	1	yes	characteristic
52	C₂×#519	C₂²	1	1	yes	characteristic
53	C₂×C₄×#41	C₂²	1	1	yes	characteristic
54	#2865	C₂²	1	2	yes	—
55	#2865	C₂²	1	2	yes	—
56	#2863	C₂²	1	2	yes	—
57	#2860	C₂²	1	2	yes	—
58	#2860	C₂²	1	2	yes	—
59	#2860	C₂²	1	2	yes	—
60	#2857	C₂²	1	1	yes	characteristic
61	#2857	C₂²	1	1	yes	characteristic
62	#2857	C₂²	1	1	yes	characteristic
63	#2857	C₂²	1	1	yes	characteristic
64	#2857	C₂²	1	1	yes	characteristic
65	#2855	C₂²	1	2	yes	—
66	#2855	C₂²	1	1	yes	characteristic
67	#2855	C₂²	1	1	yes	characteristic
68	#2854	C₂²	1	1	yes	characteristic
69	#2852	C₂²	1	2	yes	—
70	#2850	C₂²	1	1	yes	characteristic
71	#2850	C₂²	1	2	yes	—
72	#2843	C₂²	1	2	yes	—
73	#2841	C₂²	1	2	yes	—
74	#2841	C₂²	1	2	yes	—
75	#2841	C₂²	1	2	yes	—
76	#2838	C₂²	1	2	yes	—
77	#2838	C₂²	1	2	yes	—
78	#2838	C₂²	1	2	yes	—
79	#2838	C₂²	1	2	yes	—
80	#2837	C₂²	1	2	yes	—
81	#2837	C₂²	1	2	yes	—
82	#2837	C₂²	1	2	yes	—
83	#2837	C₂²	1	2	yes	—
84	#2837	C₂²	1	2	yes	—
85	#2836	C₂²	1	2	yes	—
86	#2836	C₂²	1	2	yes	—
87	#2836	C₂²	1	2	yes	—
88	#2835	C₂²	1	2	yes	—
89	#2833	C₂²	1	2	yes	—
90	#2832	C₂²	1	2	yes	—
91	#2832	C₂²	1	2	yes	—
92	#2830	C₂²	1	2	yes	—
93	#2829	C₂²	1	2	yes	—
94	#2829	C₂²	1	2	yes	—
95	#2828	C₂²	1	2	yes	—
96	#2827	C₂²	1	2	yes	—
97	#2824	C₂²	1	2	yes	—
98	#2824	C₂²	1	2	yes	—
99	#2821	C₂²	1	2	yes	—
100	#2821	C₂²	1	2	yes	—
101	#2817	C₂²	1	2	yes	—
102	#2816	C₂²	1	2	yes	—
103	#2814	C₂²	1	2	yes	—
104	#2813	C₂²	1	2	yes	—
105	#2808	C₂²	1	2	yes	—
106	#2807	C₂²	1	2	yes	—
107	#2807	C₂²	1	2	yes	—
108	#2807	C₂²	1	2	yes	—
109	#2806	C₂²	1	2	yes	—
110	#2805	C₂²	1	2	yes	—
111	#2804	C₂²	1	2	yes	—
112	#2803	C₂²	1	2	yes	—
113	#2802	C₂²	1	1	yes	characteristic
114	#2802	C₂²	1	2	yes	—
115	#2802	C₂²	1	2	yes	—
116	#2802	C₂²	1	2	yes	—
117	#2802	C₂²	1	2	yes	—
118	#2802	C₂²	1	2	yes	—
119	#2801	C₂²	1	2	yes	—
120	#2801	C₂²	1	2	yes	—
121	#2799	C₂²	1	2	yes	—
122	#2798	C₂²	1	2	yes	—
123	#2798	C₂²	1	2	yes	—
124	#2798	C₂²	1	2	yes	—
125	#2798	C₂²	1	1	yes	characteristic
126	#2798	C₂²	1	2	yes	—
127	#2797	C₂²	1	2	yes	—
128	#2797	C₂²	1	2	yes	—
129	#2796	C₂²	1	2	yes	—
130	#2796	C₂²	1	2	yes	—
131	#2796	C₂²	1	2	yes	—
132	#2795	C₂²	1	2	yes	—
133	#2792	C₂²	1	2	yes	—
134	#2792	C₂²	1	2	yes	—
135	#2792	C₂²	1	2	yes	—
136	#2791	C₂²	1	2	yes	—
137	#2790	C₂²	1	2	yes	—
138	#2790	C₂²	1	2	yes	—
139	#2788	C₂²	1	1	yes	characteristic
140	#2788	C₂²	1	2	yes	—
141	#2786	C₂²	1	1	yes	characteristic
142	#2783	C₂²	1	2	yes	—
143	#2782	C₂²	1	2	yes	—
144	#2780	C₂²	1	2	yes	—
145	#2779	C₂²	1	1	yes	characteristic
146	#2778	C₂²	1	2	yes	—
147	#2777	C₂²	1	2	yes	—
148	#2768	C₂²	1	2	yes	—
149	#2763	C₂²	1	2	yes	—
150	#2759	C₂²	1	2	yes	—
151	#2758	C₂²	1	2	yes	—
152	#2757	C₂²	1	2	yes	—
153	#2756	C₂²	1	2	yes	—
154	#2756	C₂²	1	2	yes	—
155	#2755	C₂²	1	2	yes	—
156	#2755	C₂²	1	2	yes	—
157	#2753	C₂²	1	2	yes	—
158	#2751	C₂²	1	1	yes	characteristic
159	#2748	C₂²	1	2	yes	—
160	#2747	C₂²	1	2	yes	—
161	#2747	C₂²	1	1	yes	characteristic
162	#2746	C₂²	1	2	yes	—
163	#2746	C₂²	1	2	yes	—
164	#2743	C₂²	1	1	yes	characteristic
165	#2742	C₂²	1	2	yes	—
166	#2742	C₂²	1	2	yes	—
167	#2742	C₂²	1	2	yes	—
168	#2741	C₂²	1	2	yes	—
169	#2741	C₂²	1	2	yes	—
170	#2739	C₂²	1	2	yes	—
171	#2739	C₂²	1	1	yes	characteristic
172	#2737	C₂²	1	2	yes	—
173	#2737	C₂²	1	2	yes	—
174	#2737	C₂²	1	2	yes	—
175	#2729	C₂²	1	2	yes	—
176	#2729	C₂²	1	2	yes	—
177	#2721	C₂²	1	2	yes	—
178	#2720	C₂²	1	2	yes	—
179	#2713	C₂²	1	2	yes	—
180	#2713	C₂²	1	2	yes	—
181	#2711	C₂²	1	2	yes	—
182	#2708	C₂²	1	1	yes	characteristic
183	#2705	C₂²	1	2	yes	—
184	#2704	C₂²	1	2	yes	—
185	#2704	C₂²	1	2	yes	—
186	#2701	C₂²	1	1	yes	characteristic
187	#2696	C₂²	1	1	yes	characteristic
188	#2694	C₂²	1	2	yes	—
189	#2692	C₂²	1	1	yes	characteristic
190	#2692	C₂²	1	2	yes	—
191	#2691	C₂²	1	2	yes	—
192	#2689	C₂²	1	2	yes	—
193	#2688	C₂²	1	2	yes	—
194	#2687	C₂²	1	1	yes	characteristic
195	#2687	C₂²	1	2	yes	—
196	#2681	C₂²	1	1	yes	characteristic
197	#2677	C₂²	1	2	yes	—
198	#2671	C₂²	1	1	yes	characteristic
199	#2662	C₂²	1	2	yes	—
200	#2655	C₂²	1	2	yes	—
201	#2651	C₂²	1	2	yes	—
202	#2647	C₂²	1	1	yes	characteristic
203	#2642	C₂²	1	1	yes	characteristic
204	#2640	C₂²	1	1	yes	characteristic
205	#2637	C₂²	1	2	yes	—
206	#2637	C₂²	1	2	yes	—
207	#2632	C₂²	1	2	yes	—
208	#2628	C₂²	1	1	yes	characteristic
209	#2625	C₂²	1	1	yes	characteristic
210	#2620	C₂²	1	1	yes	characteristic
211	#2610	C₂²	1	2	yes	—
212	#2610	C₂²	1	2	yes	—
213	#2609	C₂²	1	2	yes	—
214	#2604	C₂²	1	2	yes	—
215	#2604	C₂²	1	2	yes	—
216	#2604	C₂²	1	2	yes	—
217	#2604	C₂²	1	2	yes	—
218	#2604	C₂²	1	2	yes	—
219	#2604	C₂²	1	2	yes	—
220	#2601	C₂²	1	2	yes	—
221	#2601	C₂²	1	2	yes	—
222	#2599	C₂²	1	2	yes	—
223	#2599	C₂²	1	2	yes	—
224	#2596	C₂²	1	2	yes	—
225	#2595	C₂²	1	2	yes	—
226	#2593	C₂²	1	2	yes	—
227	#2592	C₂²	1	1	yes	characteristic
228	#2590	C₂²	1	2	yes	—
229	#2585	C₂²	1	2	yes	—
230	#2582	C₂²	1	1	yes	characteristic
231	#2582	C₂²	1	1	yes	characteristic
232	#2582	C₂²	1	1	yes	characteristic
233	#2581	C₂²	1	2	yes	—
234	#2578	C₂²	1	2	yes	—
235	#2577	C₂²	1	2	yes	—
236	#2577	C₂²	1	2	yes	—
237	#2575	C₂²	1	2	yes	—
238	#2570	C₂²	1	1	yes	characteristic
239	#2568	C₂²	1	1	yes	characteristic
240	#2567	C₂²	1	1	yes	characteristic
241	#2567	C₂²	1	1	yes	characteristic
242	#2565	C₂²	1	1	yes	characteristic
243	#2560	C₂²	1	2	yes	—
244	#2560	C₂²	1	2	yes	—
245	#2558	C₂²	1	2	yes	—
246	#2554	C₂²	1	2	yes	—
247	#2553	C₂²	1	2	yes	—
248	#2552	C₂²	1	1	yes	characteristic
249	#2551	C₂²	1	1	yes	characteristic
250	#2551	C₂²	1	1	yes	characteristic
251	#2546	C₂²	1	1	yes	characteristic
252	#2546	C₂²	1	1	yes	characteristic
253	#2545	C₂²	1	1	yes	characteristic
254	#2542	C₂²	1	1	yes	characteristic
255	#2542	C₂²	1	1	yes	characteristic
256	#2542	C₂²	1	1	yes	characteristic
257	#2540	C₂²	1	2	yes	—
258	#2540	C₂²	1	1	yes	characteristic
259	#2537	C₂²	1	1	yes	characteristic
260	#2536	C₂²	1	1	yes	characteristic
261	#2536	C₂²	1	2	yes	—
262	#2536	C₂²	1	1	yes	characteristic
263	#2533	C₂²	1	2	yes	—
264	#2533	C₂²	1	2	yes	—
265	#2533	C₂²	1	2	yes	—
266	#2532	C₂²	1	2	yes	—
267	#2532	C₂²	1	2	yes	—
268	#2532	C₂²	1	2	yes	—
269	#2531	C₂²	1	2	yes	—
270	#2531	C₂²	1	2	yes	—
271	#2530	C₂²	1	2	yes	—
272	#2529	C₂²	1	2	yes	—
273	#2529	C₂²	1	2	yes	—
274	#2529	C₂²	1	2	yes	—
275	#2528	C₂²	1	2	yes	—
276	#2528	C₂²	1	2	yes	—
277	#2528	C₂²	1	2	yes	—
278	#2526	C₂²	1	2	yes	—
279	#2524	C₂²	1	2	yes	—
280	#2524	C₂²	1	2	yes	—
281	#2521	C₂²	1	2	yes	—
282	#2521	C₂²	1	2	yes	—
283	#2521	C₂²	1	2	yes	—
284	#2521	C₂²	1	2	yes	—
285	#2516	C₂²	1	2	yes	—
286	#2515	C₂²	1	2	yes	—
287	#2514	C₂²	1	1	yes	characteristic
288	#2514	C₂²	1	1	yes	characteristic
289	#2514	C₂²	1	1	yes	characteristic
290	#2513	C₂²	1	1	yes	characteristic
291	#2512	C₂²	1	2	yes	—
292	#2512	C₂²	1	1	yes	characteristic
293	#2512	C₂²	1	2	yes	—
294	#2511	C₂²	1	1	yes	characteristic
295	#2511	C₂²	1	1	yes	characteristic
296	#2511	C₂²	1	1	yes	characteristic
297	#2507	C₂²	1	1	yes	characteristic
298	#2506	C₂²	1	1	yes	characteristic
299	#2500	C₂²	1	1	yes	characteristic
300	#2499	C₂²	1	1	yes	characteristic
301	#2499	C₂²	1	1	yes	characteristic
302	#2499	C₂²	1	1	yes	characteristic
303	#2497	C₂²	1	1	yes	characteristic
304	#2497	C₂²	1	1	yes	characteristic
305	#2496	C₂²	1	1	yes	characteristic
306	#2496	C₂²	1	2	yes	—
307	#2496	C₂²	1	2	yes	—
308	#2495	C₂²	1	1	yes	characteristic
309	#2494	C₂²	1	2	yes	—
310	#2492	C₂²	1	1	yes	characteristic
311	#2492	C₂²	1	1	yes	characteristic
312	#2492	C₂²	1	1	yes	characteristic
313	#2492	C₂²	1	1	yes	characteristic
314	#2491	C₂²	1	2	yes	—
315	#2491	C₂²	1	2	yes	—
316	#2490	C₂²	1	1	yes	characteristic
317	#2489	C₂²	1	2	yes	—
318	#2489	C₂²	1	1	yes	characteristic
319	#2485	C₂²	1	2	yes	—
320	#2479	C₂²	1	2	yes	—
321	#2479	C₂²	1	2	yes	—
322	#2479	C₂²	1	2	yes	—
323	#2479	C₂²	1	2	yes	—
324	#2479	C₂²	1	2	yes	—
325	#2478	C₂²	1	2	yes	—
326	#2478	C₂²	1	2	yes	—
327	#2478	C₂²	1	2	yes	—
328	#2478	C₂²	1	2	yes	—
329	#2477	C₂²	1	2	yes	—
330	#2477	C₂²	1	2	yes	—
331	#2474	C₂²	1	2	yes	—
332	#2474	C₂²	1	2	yes	—
333	#2471	C₂²	1	2	yes	—
334	#2469	C₂²	1	2	yes	—
335	#2469	C₂²	1	2	yes	—
336	#2469	C₂²	1	2	yes	—
337	#2468	C₂²	1	2	yes	—
338	#2468	C₂²	1	2	yes	—
339	#2468	C₂²	1	2	yes	—
340	#2467	C₂²	1	2	yes	—
341	#2467	C₂²	1	2	yes	—
342	#2466	C₂²	1	2	yes	—
343	#2465	C₂²	1	2	yes	—
344	#2461	C₂²	1	2	yes	—
345	#2459	C₂²	1	2	yes	—
346	#2452	C₂²	1	1	yes	characteristic
347	#2451	C₂²	1	1	yes	characteristic
348	#2451	C₂²	1	1	yes	characteristic
349	#2451	C₂²	1	1	yes	characteristic
350	#2448	C₂²	1	1	yes	characteristic
351	#2447	C₂²	1	1	yes	characteristic
352	#2447	C₂²	1	1	yes	characteristic
353	#2446	C₂²	1	1	yes	characteristic
354	#2446	C₂²	1	1	yes	characteristic
355	#2446	C₂²	1	1	yes	characteristic
356	#2441	C₂²	1	1	yes	characteristic
357	#2441	C₂²	1	1	yes	characteristic
358	#2436	C₂²	1	1	yes	characteristic
359	#2434	C₂²	1	1	yes	characteristic
360	#2434	C₂²	1	1	yes	characteristic
361	#2432	C₂²	1	1	yes	characteristic
362	#2432	C₂²	1	1	yes	characteristic
363	#2432	C₂²	1	1	yes	characteristic
364	#2429	C₂²	1	1	yes	characteristic
365	#2429	C₂²	1	1	yes	characteristic
366	#2429	C₂²	1	1	yes	characteristic
367	#2429	C₂²	1	1	yes	characteristic
368	#2429	C₂²	1	1	yes	characteristic
369	#2427	C₂²	1	1	yes	characteristic
370	#2426	C₂²	1	1	yes	characteristic
371	#2426	C₂²	1	1	yes	characteristic
372	#2423	C₂²	1	1	yes	characteristic
373	#2423	C₂²	1	1	yes	characteristic
374	#2423	C₂²	1	1	yes	characteristic
375	#2423	C₂²	1	1	yes	characteristic
376	#2423	C₂²	1	1	yes	characteristic
377	#2421	C₂²	1	1	yes	characteristic
378	#2415	C₂²	1	2	yes	—
379	#2415	C₂²	1	1	yes	characteristic
380	#2415	C₂²	1	1	yes	characteristic
381	#2415	C₂²	1	1	yes	characteristic
382	#2415	C₂²	1	1	yes	characteristic
383	#2415	C₂²	1	1	yes	characteristic
384	#2414	C₂²	1	1	yes	characteristic
385	#2409	C₂²	1	1	yes	characteristic
386	#2409	C₂²	1	1	yes	characteristic
387	#2409	C₂²	1	1	yes	characteristic
388	#2407	C₂²	1	1	yes	characteristic
389	#2407	C₂²	1	1	yes	characteristic
390	#2407	C₂²	1	1	yes	characteristic
391	#2402	C₂²	1	2	yes	—
392	#2402	C₂²	1	1	yes	characteristic
393	#2402	C₂²	1	2	yes	—
394	#2399	C₂²	1	2	yes	—
395	#2399	C₂²	1	2	yes	—
396	#2398	C₂²	1	1	yes	characteristic
397	#2398	C₂²	1	1	yes	characteristic
398	#2396	C₂²	1	1	yes	characteristic
399	#2396	C₂²	1	2	yes	—
400	#2396	C₂²	1	2	yes	—
401	#2395	C₂²	1	1	yes	characteristic
402	#2392	C₂²	1	1	yes	characteristic
403	#2383	C₂²	1	2	yes	—
404	#2383	C₂²	1	2	yes	—
405	#2378	C₂²	1	2	yes	—
406	#2378	C₂²	1	2	yes	—
407	#2378	C₂²	1	2	yes	—
408	#2378	C₂²	1	2	yes	—
409	#2377	C₂²	1	2	yes	—
410	#2376	C₂²	1	2	yes	—
411	#2376	C₂²	1	2	yes	—
412	#2370	C₂²	1	1	yes	characteristic
413	#2367	C₂²	1	1	yes	characteristic
414	#2365	C₂²	1	1	yes	characteristic
415	#2365	C₂²	1	1	yes	characteristic
416	#2365	C₂²	1	1	yes	characteristic
417	#2365	C₂²	1	1	yes	characteristic
418	#2363	C₂²	1	1	yes	characteristic
419	#2363	C₂²	1	1	yes	characteristic
420	#2363	C₂²	1	1	yes	characteristic
421	#2362	C₂²	1	1	yes	characteristic
422	#2362	C₂²	1	1	yes	characteristic
423	#2362	C₂²	1	1	yes	characteristic
424	#2362	C₂²	1	1	yes	characteristic
425	#2362	C₂²	1	1	yes	characteristic
426	#2362	C₂²	1	1	yes	characteristic
427	#2362	C₂²	1	1	yes	characteristic
428	#2356	C₂²	1	1	yes	characteristic
429	#2355	C₂²	1	1	yes	characteristic
430	#2355	C₂²	1	1	yes	characteristic
431	#2355	C₂²	1	1	yes	characteristic
432	#2354	C₂²	1	1	yes	characteristic
433	#2354	C₂²	1	1	yes	characteristic
434	#2354	C₂²	1	1	yes	characteristic
435	#2354	C₂²	1	1	yes	characteristic
436	#2347	C₂²	1	1	yes	characteristic
437	#2346	C₂²	1	1	yes	characteristic
438	C₄×C₄⋊Q₈	C₂²	1	2	yes	—
439	C₄×C₄⋊Q₈	C₂²	1	2	yes	—
440	C₄×#125	C₂²	1	2	yes	—
441	C₄×#125	C₂²	1	2	yes	—
442	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
443	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
444	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
445	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
446	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
447	C₄×#123	C₂²	1	1	yes	characteristic
448	C₄×#123	C₂²	1	1	yes	characteristic
449	C₄×#123	C₂²	1	1	yes	characteristic
450	C₄×#121	C₂²	1	1	yes	characteristic
451	C₄×#121	C₂²	1	1	yes	characteristic
452	C₄×#121	C₂²	1	1	yes	characteristic
453	#2298	C₂²	1	2	yes	—
454	#2298	C₂²	1	2	yes	—
455	#2296	C₂²	1	2	yes	—
456	#2276	C₂²	1	1	yes	characteristic
457	C₄×#117	C₂²	1	1	yes	characteristic
458	C₄×#117	C₂²	1	1	yes	characteristic
459	C₂²×#41	C₂³	1	1	yes	characteristic
460	C₂³×Q₈	C₂³	1	1	yes	characteristic
461	#556	—	4	4	no	—
462	#556	—	4	4	no	—
463	#556	—	4	4	no	—
464	#556	—	4	4	no	—
465	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
466	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
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	1	yes	characteristic
475	C₂×#126	C₂³	1	2	yes	—
476	C₂×#126	C₂³	1	2	yes	—
477	C₂×#126	C₂³	1	2	yes	—
478	C₂×#126	C₂³	1	2	yes	—
479	C₂×#126	C₂³	1	2	yes	—
480	C₂×#126	C₂³	1	2	yes	—
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×#125	C₂³	1	2	yes	—
486	C₂×#125	C₂³	1	2	yes	—
487	C₂×#125	C₂³	1	1	yes	characteristic
488	C₂×#124	C₂³	1	1	yes	characteristic
489	C₂×#124	C₂³	1	2	yes	—
490	C₂×#124	C₂³	1	2	yes	—
491	C₂×#124	C₂³	1	2	yes	—
492	C₂×#124	C₂³	1	1	yes	characteristic
493	C₂×#124	C₂³	1	1	yes	characteristic
494	C₂×#123	C₂³	1	1	yes	characteristic
495	C₂×#123	C₂³	1	2	yes	—
496	C₂×#123	C₂³	1	1	yes	characteristic
497	C₂×#123	C₂³	1	1	yes	characteristic
498	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
499	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
500	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
501	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
502	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
503	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
504	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
505	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
506	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
507	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
508	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
509	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
510	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
511	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
512	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
513	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
514	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
515	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
516	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
518	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
519	C₂×#121	C₂³	1	2	yes	—
520	C₂×#121	C₂³	1	1	yes	characteristic
521	C₂×#121	C₂³	1	1	yes	characteristic
522	C₂×#121	C₂³	1	1	yes	characteristic
523	C₂×#121	C₂³	1	1	yes	characteristic
524	C₂×#121	C₂³	1	1	yes	characteristic
525	C₂×#121	C₂³	1	1	yes	characteristic
526	#519	—	4	4	no	—
527	C₄×#41	—	4	4	no	—
528	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
529	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
530	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
531	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
532	C₂×C₄×Q₈	C₂³	1	2	yes	—
533	C₂×C₄×Q₈	C₂³	1	2	yes	—
534	C₂×C₄×Q₈	C₂³	1	2	yes	—
535	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
536	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
537	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
538	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
539	C₂×C₄×Q₈	C₂³	1	2	yes	—
540	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
541	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
542	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
543	C₂×C₄×Q₈	C₂³	1	2	yes	—
544	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
545	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
546	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
548	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
549	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
550	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
551	C₂×C₄×D₄	C₂³	1	2	yes	—
552	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
553	C₂×C₄×D₄	C₂³	1	2	yes	—
554	C₂×#117	C₂³	1	1	yes	characteristic
555	C₂×#117	C₂³	1	1	yes	characteristic
556	C₂×#117	C₂³	1	1	yes	characteristic
557	C₂×#117	C₂³	1	1	yes	characteristic
558	C₂×#117	C₂³	1	2	yes	—
559	C₂×#117	C₂³	1	2	yes	—
560	C₂×#117	C₂³	1	2	yes	—
561	C₂×#117	C₂³	1	2	yes	—
562	C₂×#117	C₂³	1	2	yes	—
563	C₂×#117	C₂³	1	1	yes	characteristic
564	C₂×#117	C₂³	1	1	yes	characteristic
565	C₂×#117	C₂³	1	1	yes	characteristic
566	C₂²×C₄²	C₂³	1	2	yes	—
567	C₂²×C₄²	C₂³	1	1	yes	characteristic
568	C₂²×C₄²	C₂³	1	1	yes	characteristic
569	C₂²×C₄²	C₂³	1	1	yes	characteristic
570	#401	C₂³	1	2	yes	—
571	#401	C₂³	1	2	yes	—
572	#401	C₂³	1	2	yes	—
573	#400	C₂³	1	1	yes	characteristic
574	#400	C₂³	1	2	yes	—
575	#400	C₂³	1	2	yes	—
576	#400	C₂³	1	2	yes	—
577	#400	C₂³	1	1	yes	characteristic
578	#400	C₂³	1	2	yes	—
579	#400	C₂³	1	2	yes	—
580	#400	C₂³	1	2	yes	—
581	#400	C₂³	1	2	yes	—
582	#400	C₂³	1	2	yes	—
583	#400	C₂³	1	2	yes	—
584	#400	C₂³	1	2	yes	—
585	#400	C₂³	1	2	yes	—
586	#400	C₂³	1	2	yes	—
587	#400	C₂³	1	2	yes	—
588	#400	C₂³	1	2	yes	—
589	#400	C₂³	1	2	yes	—
590	#400	C₂³	1	2	yes	—
591	#400	C₂³	1	2	yes	—
592	#400	C₂³	1	2	yes	—
593	#400	C₂³	1	1	yes	characteristic
594	#400	C₂³	1	2	yes	—
595	#400	C₂³	1	2	yes	—
596	#400	C₂³	1	2	yes	—
597	#400	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
605	#400	C₂³	1	2	yes	—
606	#400	C₂³	1	2	yes	—
607	#400	C₂³	1	1	yes	characteristic
608	#400	C₂³	1	1	yes	characteristic
609	#400	C₂³	1	2	yes	—
610	#400	C₂³	1	2	yes	—
611	#400	C₂³	1	1	yes	characteristic
612	#400	C₂³	1	1	yes	characteristic
613	#400	C₂³	1	2	yes	—
614	#400	C₂³	1	1	yes	characteristic
615	#400	C₂³	1	2	yes	—
616	#400	C₂³	1	2	yes	—
617	#399	C₂³	1	2	yes	—
618	#399	C₂³	1	2	yes	—
619	#399	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
629	#399	C₂³	1	2	yes	—
630	#399	C₂³	1	2	yes	—
631	#399	C₂³	1	2	yes	—
632	#399	C₂³	1	2	yes	—
633	#399	C₂³	1	2	yes	—
634	#399	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	#398	C₂³	1	2	yes	—
661	#398	C₂³	1	2	yes	—
662	#398	C₂³	1	2	yes	—
663	#398	C₂³	1	2	yes	—
664	#398	C₂³	1	1	yes	characteristic
665	#398	C₂³	1	2	yes	—
666	#398	C₂³	1	2	yes	—
667	#398	C₂³	1	2	yes	—
668	#398	C₂³	1	2	yes	—
669	#398	C₂³	1	2	yes	—
670	#398	C₂³	1	2	yes	—
671	#398	C₂³	1	1	yes	characteristic
672	#398	C₂³	1	1	yes	characteristic
673	#398	C₂³	1	2	yes	—
674	#398	C₂³	1	2	yes	—
675	#398	C₂³	1	1	yes	characteristic
676	#398	C₂³	1	1	yes	characteristic
677	#398	C₂³	1	1	yes	characteristic
678	#398	C₂³	1	2	yes	—
679	#398	C₂³	1	2	yes	—
680	#398	C₂³	1	1	yes	characteristic
681	#398	C₂³	1	1	yes	characteristic
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	#397	C₂³	1	2	yes	—
687	#397	C₂³	1	2	yes	—
688	#397	C₂³	1	2	yes	—
689	#397	C₂³	1	2	yes	—
690	#397	C₂³	1	2	yes	—
691	#397	C₂³	1	2	yes	—
692	#397	C₂³	1	2	yes	—
693	#397	C₂³	1	2	yes	—
694	#397	C₂³	1	2	yes	—
695	#397	C₂³	1	2	yes	—
696	#397	C₂³	1	2	yes	—
697	#397	C₂³	1	2	yes	—
698	#397	C₂³	1	1	yes	characteristic
699	#397	C₂³	1	2	yes	—
700	#397	C₂³	1	2	yes	—
701	#397	C₂³	1	2	yes	—
702	#397	C₂³	1	2	yes	—
703	#397	C₂³	1	1	yes	characteristic
704	#397	C₂³	1	2	yes	—
705	#397	C₂³	1	2	yes	—
706	#397	C₂³	1	1	yes	characteristic
707	#397	C₂³	1	1	yes	characteristic
708	#397	C₂³	1	2	yes	—
709	#397	C₂³	1	2	yes	—
710	#397	C₂³	1	2	yes	—
711	#397	C₂³	1	2	yes	—
712	#397	C₂³	1	1	yes	characteristic
713	#397	C₂³	1	2	yes	—
714	#397	C₂³	1	2	yes	—
715	#397	C₂³	1	2	yes	—
716	#397	C₂³	1	2	yes	—
717	#397	C₂³	1	1	yes	characteristic
718	#397	C₂³	1	1	yes	characteristic
719	#397	C₂³	1	1	yes	characteristic
720	#396	C₂³	1	1	yes	characteristic
721	#396	C₂³	1	2	yes	—
722	#396	C₂³	1	2	yes	—
723	#396	C₂³	1	2	yes	—
724	#396	C₂³	1	2	yes	—
725	#396	C₂³	1	2	yes	—
726	#396	C₂³	1	2	yes	—
727	#396	C₂³	1	2	yes	—
728	#396	C₂³	1	2	yes	—
729	#396	C₂³	1	2	yes	—
730	#396	C₂³	1	2	yes	—
731	#396	C₂³	1	2	yes	—
732	#396	C₂³	1	1	yes	characteristic
733	#396	C₂³	1	2	yes	—
734	#396	C₂³	1	2	yes	—
735	#396	C₂³	1	2	yes	—
736	#396	C₂³	1	2	yes	—
737	#396	C₂³	1	2	yes	—
738	#396	C₂³	1	1	yes	characteristic
739	#396	C₂³	1	2	yes	—
740	#396	C₂³	1	1	yes	characteristic
741	#395	C₂³	1	2	yes	—
742	#395	C₂³	1	2	yes	—
743	#395	C₂³	1	2	yes	—
744	#395	C₂³	1	2	yes	—
745	#395	C₂³	1	2	yes	—
746	#395	C₂³	1	2	yes	—
747	#395	C₂³	1	2	yes	—
748	#395	C₂³	1	2	yes	—
749	#395	C₂³	1	2	yes	—
750	#395	C₂³	1	2	yes	—
751	#395	C₂³	1	2	yes	—
752	#395	C₂³	1	2	yes	—
753	#395	C₂³	1	2	yes	—
754	#395	C₂³	1	2	yes	—
755	#395	C₂³	1	2	yes	—
756	#395	C₂³	1	2	yes	—
757	#395	C₂³	1	2	yes	—
758	#395	C₂³	1	1	yes	characteristic
759	#395	C₂³	1	2	yes	—
760	#395	C₂³	1	2	yes	—
761	#394	C₂³	1	2	yes	—
762	#394	C₂³	1	2	yes	—
763	#394	C₂³	1	1	yes	characteristic
764	#394	C₂³	1	2	yes	—
765	#394	C₂³	1	2	yes	—
766	#394	C₂³	1	2	yes	—
767	#394	C₂³	1	2	yes	—
768	#394	C₂³	1	1	yes	characteristic
769	#394	C₂³	1	2	yes	—
770	#394	C₂³	1	2	yes	—
771	#394	C₂³	1	2	yes	—
772	#394	C₂³	1	2	yes	—
773	#394	C₂³	1	2	yes	—
774	#394	C₂³	1	2	yes	—
775	#394	C₂³	1	2	yes	—
776	#394	C₂³	1	2	yes	—
777	#394	C₂³	1	2	yes	—
778	#394	C₂³	1	2	yes	—
779	#394	C₂³	1	1	yes	characteristic
780	#394	C₂³	1	1	yes	characteristic
781	#394	C₂³	1	2	yes	—
782	#394	C₂³	1	2	yes	—
783	#394	C₂³	1	2	yes	—
784	#394	C₂³	1	2	yes	—
785	#394	C₂³	1	2	yes	—
786	#394	C₂³	1	1	yes	characteristic
787	#394	C₂³	1	1	yes	characteristic
788	#394	C₂³	1	2	yes	—
789	#394	C₂³	1	2	yes	—
790	#394	C₂³	1	2	yes	—
791	#394	C₂³	1	2	yes	—
792	#394	C₂³	1	1	yes	characteristic
793	#394	C₂³	1	2	yes	—
794	#394	C₂³	1	1	yes	characteristic
795	#394	C₂³	1	1	yes	characteristic
796	#394	C₂³	1	2	yes	—
797	#393	C₂³	1	1	yes	characteristic
798	#393	C₂³	1	1	yes	characteristic
799	#393	C₂³	1	2	yes	—
800	#393	C₂³	1	2	yes	—
801	#393	C₂³	1	2	yes	—
802	#393	C₂³	1	2	yes	—
803	#393	C₂³	1	2	yes	—
804	#393	C₂³	1	2	yes	—
805	#393	C₂³	1	2	yes	—
806	#393	C₂³	1	2	yes	—
807	#393	C₂³	1	2	yes	—
808	#393	C₂³	1	2	yes	—
809	#393	C₂³	1	2	yes	—
810	#393	C₂³	1	1	yes	characteristic
811	#393	C₂³	1	2	yes	—
812	#393	C₂³	1	2	yes	—
813	#393	C₂³	1	2	yes	—
814	#393	C₂³	1	1	yes	characteristic
815	#393	C₂³	1	1	yes	characteristic
816	#392	C₂³	1	2	yes	—
817	#392	C₂³	1	2	yes	—
818	#392	C₂³	1	1	yes	characteristic
819	#392	C₂³	1	2	yes	—
820	#392	C₂³	1	2	yes	—
821	#392	C₂³	1	2	yes	—
822	#391	C₂³	1	2	yes	—
823	#391	C₂³	1	2	yes	—
824	#391	C₂³	1	2	yes	—
825	#391	C₂³	1	2	yes	—
826	#391	C₂³	1	2	yes	—
827	#391	C₂³	1	1	yes	characteristic
828	#391	C₂³	1	1	yes	characteristic
829	#391	C₂³	1	1	yes	characteristic
830	#391	C₂³	1	1	yes	characteristic
831	#391	C₂³	1	2	yes	—
832	#391	C₂³	1	1	yes	characteristic
833	#391	C₂³	1	1	yes	characteristic
834	#391	C₂³	1	1	yes	characteristic
835	#391	C₂³	1	2	yes	—
836	#391	C₂³	1	2	yes	—
837	#391	C₂³	1	1	yes	characteristic
838	#391	C₂³	1	2	yes	—
839	#391	C₂³	1	1	yes	characteristic
840	#391	C₂³	1	1	yes	characteristic
841	#391	C₂³	1	1	yes	characteristic
842	#391	C₂³	1	1	yes	characteristic
843	#391	C₂³	1	1	yes	characteristic
844	#391	C₂³	1	2	yes	—
845	#391	C₂³	1	2	yes	—
846	#391	C₂³	1	1	yes	characteristic
847	#391	C₂³	1	1	yes	characteristic
848	#391	C₂³	1	2	yes	—
849	#391	C₂³	1	1	yes	characteristic
850	#391	C₂³	1	1	yes	characteristic
851	#391	C₂³	1	1	yes	characteristic
852	#391	C₂³	1	1	yes	characteristic
853	#391	C₂³	1	1	yes	characteristic
854	#391	C₂³	1	1	yes	characteristic
855	#391	C₂³	1	1	yes	characteristic
856	#391	C₂³	1	2	yes	—
857	#391	C₂³	1	1	yes	characteristic
858	#391	C₂³	1	1	yes	characteristic
859	#391	C₂³	1	1	yes	characteristic
860	#391	C₂³	1	2	yes	—
861	#390	C₂³	1	2	yes	—
862	#390	C₂³	1	2	yes	—
863	#390	C₂³	1	2	yes	—
864	#390	C₂³	1	2	yes	—
865	#390	C₂³	1	2	yes	—
866	#390	C₂³	1	2	yes	—
867	#390	C₂³	1	1	yes	characteristic
868	#390	C₂³	1	1	yes	characteristic
869	#390	C₂³	1	2	yes	—
870	#390	C₂³	1	1	yes	characteristic
871	#390	C₂³	1	1	yes	characteristic
872	#390	C₂³	1	2	yes	—
873	#390	C₂³	1	1	yes	characteristic
874	#390	C₂³	1	2	yes	—
875	#390	C₂³	1	2	yes	—
876	#390	C₂³	1	1	yes	characteristic
877	#390	C₂³	1	1	yes	characteristic
878	#390	C₂³	1	2	yes	—
879	#390	C₂³	1	2	yes	—
880	#390	C₂³	1	2	yes	—
881	#390	C₂³	1	2	yes	—
882	#390	C₂³	1	1	yes	characteristic
883	#390	C₂³	1	1	yes	characteristic
884	#389	C₂³	1	1	yes	characteristic
885	#389	C₂³	1	2	yes	—
886	#389	C₂³	1	2	yes	—
887	#389	C₂³	1	2	yes	—
888	#389	C₂³	1	1	yes	characteristic
889	#389	C₂³	1	1	yes	characteristic
890	#389	C₂³	1	2	yes	—
891	#389	C₂³	1	2	yes	—
892	#389	C₂³	1	2	yes	—
893	#389	C₂³	1	2	yes	—
894	#389	C₂³	1	2	yes	—
895	#389	C₂³	1	2	yes	—
896	#389	C₂³	1	1	yes	characteristic
897	#389	C₂³	1	2	yes	—
898	#389	C₂³	1	1	yes	characteristic
899	#389	C₂³	1	1	yes	characteristic
900	#389	C₂³	1	1	yes	characteristic
901	#389	C₂³	1	2	yes	—
902	#389	C₂³	1	1	yes	characteristic
903	#389	C₂³	1	2	yes	—
904	#389	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
919	#389	C₂³	1	2	yes	—
920	#389	C₂³	1	2	yes	—
921	#389	C₂³	1	2	yes	—
922	#389	C₂³	1	2	yes	—
923	#389	C₂³	1	2	yes	—
924	#389	C₂³	1	2	yes	—
925	#389	C₂³	1	1	yes	characteristic
926	#389	C₂³	1	2	yes	—
927	#389	C₂³	1	1	yes	characteristic
928	#389	C₂³	1	1	yes	characteristic
929	#389	C₂³	1	2	yes	—
930	#389	C₂³	1	2	yes	—
931	#389	C₂³	1	2	yes	—
932	#389	C₂³	1	1	yes	characteristic
933	#389	C₂³	1	1	yes	characteristic
934	#389	C₂³	1	2	yes	—
935	#389	C₂³	1	2	yes	—
936	#389	C₂³	1	2	yes	—
937	#389	C₂³	1	2	yes	—
938	#389	C₂³	1	2	yes	—
939	#389	C₂³	1	2	yes	—
940	#389	C₂³	1	2	yes	—
941	#389	C₂³	1	1	yes	characteristic
942	#389	C₂³	1	2	yes	—
943	#389	C₂³	1	1	yes	characteristic
944	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1001	#388	C₂³	1	2	yes	—
1002	#388	C₂³	1	2	yes	—
1003	#388	C₂³	1	1	yes	characteristic
1004	#388	C₂³	1	1	yes	characteristic
1005	#388	C₂³	1	1	yes	characteristic
1006	#388	C₂³	1	1	yes	characteristic
1007	#388	C₂³	1	2	yes	—
1008	#388	C₂³	1	2	yes	—
1009	#388	C₂³	1	2	yes	—
1010	#388	C₂³	1	2	yes	—
1011	#388	C₂³	1	2	yes	—
1012	#388	C₂³	1	2	yes	—
1013	#388	C₂³	1	1	yes	characteristic
1014	#388	C₂³	1	2	yes	—
1015	#388	C₂³	1	2	yes	—
1016	#388	C₂³	1	1	yes	characteristic
1017	#388	C₂³	1	2	yes	—
1018	#388	C₂³	1	2	yes	—
1019	#388	C₂³	1	2	yes	—
1020	#388	C₂³	1	2	yes	—
1021	#388	C₂³	1	2	yes	—
1022	#388	C₂³	1	2	yes	—
1023	#388	C₂³	1	2	yes	—
1024	#388	C₂³	1	2	yes	—
1025	#388	C₂³	1	2	yes	—
1026	#388	C₂³	1	2	yes	—
1027	#388	C₂³	1	2	yes	—
1028	#388	C₂³	1	2	yes	—
1029	#388	C₂³	1	1	yes	characteristic
1030	#388	C₂³	1	2	yes	—
1031	#388	C₂³	1	2	yes	—
1032	#388	C₂³	1	2	yes	—
1033	#388	C₂³	1	2	yes	—
1034	#388	C₂³	1	1	yes	characteristic
1035	#387	C₂³	1	2	yes	—
1036	#387	C₂³	1	2	yes	—
1037	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
1059	#387	C₂³	1	2	yes	—
1060	#387	C₂³	1	2	yes	—
1061	#387	C₂³	1	1	yes	characteristic
1062	#387	C₂³	1	2	yes	—
1063	#387	C₂³	1	2	yes	—
1064	#387	C₂³	1	2	yes	—
1065	#387	C₂³	1	2	yes	—
1066	#387	C₂³	1	2	yes	—
1067	#387	C₂³	1	2	yes	—
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	2	yes	—
1073	#387	C₂³	1	2	yes	—
1074	#387	C₂³	1	2	yes	—
1075	#387	C₂³	1	2	yes	—
1076	#387	C₂³	1	2	yes	—
1077	#387	C₂³	1	2	yes	—
1078	#387	C₂³	1	2	yes	—
1079	#387	C₂³	1	2	yes	—
1080	#387	C₂³	1	1	yes	characteristic
1081	#387	C₂³	1	2	yes	—
1082	#387	C₂³	1	2	yes	—
1083	#387	C₂³	1	2	yes	—
1084	#387	C₂³	1	2	yes	—
1085	#387	C₂³	1	2	yes	—
1086	#387	C₂³	1	2	yes	—
1087	#387	C₂³	1	2	yes	—
1088	#387	C₂³	1	2	yes	—
1089	#387	C₂³	1	2	yes	—
1090	#387	C₂³	1	2	yes	—
1091	#387	C₂³	1	2	yes	—
1092	#387	C₂³	1	2	yes	—
1093	#387	C₂³	1	2	yes	—
1094	#387	C₂³	1	2	yes	—
1095	#387	C₂³	1	1	yes	characteristic
1096	#387	C₂³	1	2	yes	—
1097	#387	C₂³	1	2	yes	—
1098	#387	C₂³	1	2	yes	—
1099	#387	C₂³	1	2	yes	—
1100	#387	C₂³	1	2	yes	—
1101	#387	C₂³	1	2	yes	—
1102	#387	C₂³	1	1	yes	characteristic
1103	#387	C₂³	1	2	yes	—
1104	#387	C₂³	1	1	yes	characteristic
1105	#387	C₂³	1	2	yes	—
1106	#387	C₂³	1	2	yes	—
1107	#387	C₂³	1	2	yes	—
1108	#387	C₂³	1	1	yes	characteristic
1109	#387	C₂³	1	1	yes	characteristic
1110	#387	C₂³	1	2	yes	—
1111	#387	C₂³	1	2	yes	—
1112	#387	C₂³	1	1	yes	characteristic
1113	#387	C₂³	1	1	yes	characteristic
1114	#387	C₂³	1	1	yes	characteristic
1115	#387	C₂³	1	2	yes	—
1116	#387	C₂³	1	1	yes	characteristic
1117	#386	C₂³	1	2	yes	—
1118	#386	C₂³	1	2	yes	—
1119	#386	C₂³	1	1	yes	characteristic
1120	#386	C₂³	1	2	yes	—
1121	#386	C₂³	1	2	yes	—
1122	#386	C₂³	1	2	yes	—
1123	#386	C₂³	1	2	yes	—
1124	#386	C₂³	1	2	yes	—
1125	#386	C₂³	1	2	yes	—
1126	#386	C₂³	1	2	yes	—
1127	#386	C₂³	1	2	yes	—
1128	#386	C₂³	1	2	yes	—
1129	#386	C₂³	1	2	yes	—
1130	#386	C₂³	1	2	yes	—
1131	#386	C₂³	1	2	yes	—
1132	#386	C₂³	1	1	yes	characteristic
1133	#386	C₂³	1	2	yes	—
1134	#386	C₂³	1	1	yes	characteristic
1135	#386	C₂³	1	1	yes	characteristic
1136	#386	C₂³	1	1	yes	characteristic
1137	#386	C₂³	1	1	yes	characteristic
1138	#386	C₂³	1	1	yes	characteristic
1139	#386	C₂³	1	1	yes	characteristic
1140	#386	C₂³	1	1	yes	characteristic
1141	#385	C₂³	1	2	yes	—
1142	#385	C₂³	1	2	yes	—
1143	#385	C₂³	1	2	yes	—
1144	#385	C₂³	1	2	yes	—
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	2	yes	—
1149	#385	C₂³	1	2	yes	—
1150	#385	C₂³	1	1	yes	characteristic
1151	#385	C₂³	1	2	yes	—
1152	#385	C₂³	1	2	yes	—
1153	#385	C₂³	1	2	yes	—
1154	#385	C₂³	1	2	yes	—
1155	#385	C₂³	1	2	yes	—
1156	#385	C₂³	1	2	yes	—
1157	#385	C₂³	1	2	yes	—
1158	#385	C₂³	1	2	yes	—
1159	#385	C₂³	1	2	yes	—
1160	#385	C₂³	1	2	yes	—
1161	#385	C₂³	1	2	yes	—
1162	#385	C₂³	1	2	yes	—
1163	#385	C₂³	1	1	yes	characteristic
1164	#385	C₂³	1	2	yes	—
1165	#385	C₂³	1	1	yes	characteristic
1166	#385	C₂³	1	1	yes	characteristic
1167	#385	C₂³	1	2	yes	—
1168	#385	C₂³	1	2	yes	—
1169	#385	C₂³	1	2	yes	—
1170	#385	C₂³	1	1	yes	characteristic
1171	#385	C₂³	1	1	yes	characteristic
1172	#384	C₂³	1	2	yes	—
1173	#384	C₂³	1	2	yes	—
1174	#384	C₂³	1	1	yes	characteristic
1175	#384	C₂³	1	1	yes	characteristic
1176	#384	C₂³	1	2	yes	—
1177	#384	C₂³	1	1	yes	characteristic
1178	#384	C₂³	1	1	yes	characteristic
1179	#384	C₂³	1	1	yes	characteristic
1180	#384	C₂³	1	1	yes	characteristic
1181	#384	C₂³	1	1	yes	characteristic
1182	#383	C₂³	1	2	yes	—
1183	#383	C₂³	1	2	yes	—
1184	#383	C₂³	1	2	yes	—
1185	#383	C₂³	1	2	yes	—
1186	#383	C₂³	1	2	yes	—
1187	#383	C₂³	1	2	yes	—
1188	#382	C₂³	1	2	yes	—
1189	#382	C₂³	1	2	yes	—
1190	#382	C₂³	1	1	yes	characteristic
1191	#382	C₂³	1	1	yes	characteristic
1192	#382	C₂³	1	2	yes	—
1193	#382	C₂³	1	2	yes	—
1194	#382	C₂³	1	2	yes	—
1195	#382	C₂³	1	1	yes	characteristic
1196	#381	C₂³	1	2	yes	—
1197	#381	C₂³	1	2	yes	—
1198	#381	C₂³	1	1	yes	characteristic
1199	#381	C₂³	1	1	yes	characteristic
1200	#381	C₂³	1	2	yes	—
1201	#381	C₂³	1	2	yes	—
1202	#381	C₂³	1	1	yes	characteristic
1203	#380	C₂³	1	2	yes	—
1204	#380	C₂³	1	2	yes	—
1205	#380	C₂³	1	1	yes	characteristic
1206	#380	C₂³	1	1	yes	characteristic
1207	#380	C₂³	1	2	yes	—
1208	#380	C₂³	1	2	yes	—
1209	#380	C₂³	1	2	yes	—
1210	#380	C₂³	1	2	yes	—
1211	#380	C₂³	1	1	yes	characteristic
1212	#380	C₂³	1	1	yes	characteristic
1213	#380	C₂³	1	1	yes	characteristic
1214	#380	C₂³	1	1	yes	characteristic
1215	#380	C₂³	1	1	yes	characteristic
1216	#380	C₂³	1	2	yes	—
1217	#380	C₂³	1	2	yes	—
1218	#380	C₂³	1	2	yes	—
1219	#380	C₂³	1	2	yes	—
1220	#380	C₂³	1	1	yes	characteristic
1221	#380	C₂³	1	1	yes	characteristic
1222	#380	C₂³	1	1	yes	characteristic
1223	#380	C₂³	1	1	yes	characteristic
1224	#380	C₂³	1	2	yes	—
1225	#380	C₂³	1	1	yes	characteristic
1226	#380	C₂³	1	1	yes	characteristic
1227	#380	C₂³	1	1	yes	characteristic
1228	#380	C₂³	1	2	yes	—
1229	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1230	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1231	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1232	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1233	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1234	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1235	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1236	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1237	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1238	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1239	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1240	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1241	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1242	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1243	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1244	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1245	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1246	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1247	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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×C₄⋊C₄	C₂³	1	2	yes	—
1261	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1262	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1263	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1264	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1265	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1266	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1267	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1268	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1269	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1270	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1271	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
1276	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1277	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1278	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1279	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1287	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1288	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1289	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1290	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1291	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1292	#376	C₂³	1	2	yes	—
1293	#376	C₂³	1	2	yes	—
1294	#376	C₂³	1	2	yes	—
1295	#376	C₂³	1	2	yes	—
1296	#376	C₂³	1	2	yes	—
1297	#376	C₂³	1	1	yes	characteristic
1298	C₄³	C₂³	1	2	yes	—
1299	C₄³	C₂³	1	2	yes	—
1300	C₂×#41	—	4	2	no	—
1301	C₂×#41	—	4	2	no	—
1302	C₂×#41	—	4	2	no	—
1303	C₂²×Q₈	—	4	2	no	—
1304	C₂²×Q₈	—	4	2	no	—
1305	C₂²×Q₈	—	4	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	2	yes	—
1311	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1312	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	2	yes	—
1315	C₂²×Q₈	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1320	C₂²×D₄	C₂⁴	1	2	yes	—
1321	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1322	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1323	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1324	C₂²×D₄	C₂⁴	1	2	yes	—
1325	C₂²×D₄	C₂⁴	1	2	yes	—
1326	C₂²×D₄	C₂⁴	1	2	yes	—
1327	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1334	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	C₄⋊Q₈	—	4	4	no	—
1342	C₄⋊Q₈	—	4	2	no	—
1343	C₄⋊Q₈	—	4	2	no	—
1344	C₄⋊Q₈	—	4	2	no	—
1345	C₄⋊Q₈	—	4	2	no	—
1346	C₄⋊Q₈	—	4	2	no	—
1347	C₄⋊Q₈	—	4	2	no	—
1348	C₄⋊Q₈	—	4	2	no	—
1349	C₄⋊Q₈	—	4	2	no	—
1350	C₄⋊Q₈	—	4	4	no	—
1351	#126	—	4	4	no	—
1352	#126	—	4	4	no	—
1353	#126	—	4	4	no	—
1354	#126	—	4	4	no	—
1355	#126	—	4	4	no	—
1356	#126	—	4	4	no	—
1357	#126	—	4	4	no	—
1358	#126	—	4	4	no	—
1359	#126	—	4	4	no	—
1360	#126	—	4	4	no	—
1361	#125	—	4	2	no	—
1362	#125	—	4	4	no	—
1363	#125	—	4	4	no	—
1364	#124	—	4	4	no	—
1365	#124	—	4	4	no	—
1366	#124	—	4	4	no	—
1367	#124	—	4	2	no	—
1368	#124	—	4	2	no	—
1369	#124	—	4	2	no	—
1370	#123	—	2	4	no	—
1371	#123	—	4	2	no	—
1372	#123	—	4	4	no	—
1373	#123	—	4	2	no	—
1374	C₂²⋊Q₈	—	2	4	no	—
1375	C₂²⋊Q₈	—	2	4	no	—
1376	C₂²⋊Q₈	—	4	2	no	—
1377	C₂²⋊Q₈	—	4	4	no	—
1378	C₂²⋊Q₈	—	4	4	no	—
1379	C₂²⋊Q₈	—	4	4	no	—
1380	C₂²⋊Q₈	—	4	2	no	—
1381	C₂²⋊Q₈	—	4	2	no	—
1382	C₂²⋊Q₈	—	4	2	no	—
1383	C₂²⋊Q₈	—	4	2	no	—
1384	C₂²⋊Q₈	—	4	2	no	—
1385	C₂²⋊Q₈	—	4	2	no	—
1386	C₂²⋊Q₈	—	4	2	no	—
1387	C₂²⋊Q₈	—	4	4	no	—
1388	C₂²⋊Q₈	—	4	4	no	—
1389	C₂²⋊Q₈	—	4	2	no	—
1390	C₂²⋊Q₈	—	4	2	no	—
1391	C₂²⋊Q₈	—	4	2	no	—
1392	C₂²⋊Q₈	—	4	2	no	—
1393	C₂²⋊Q₈	—	4	2	no	—
1394	C₂²⋊Q₈	—	4	2	no	—
1395	#121	—	4	2	no	—
1396	#121	—	4	2	no	—
1397	#121	—	4	2	no	—
1398	#121	—	4	2	no	—
1399	#121	—	4	2	no	—
1400	#121	—	4	4	no	—
1401	#121	—	4	2	no	—
1402	C₄×Q₈	—	2	4	no	—
1403	C₄×Q₈	—	2	4	no	—
1404	C₄×Q₈	—	2	4	no	—
1405	C₄×Q₈	—	2	4	no	—
1406	C₄×Q₈	—	4	2	no	—
1407	C₄×Q₈	—	4	4	no	—
1408	C₄×Q₈	—	4	4	no	—
1409	C₄×Q₈	—	4	2	no	—
1410	C₄×Q₈	—	4	4	no	—
1411	C₄×Q₈	—	4	4	no	—
1412	C₄×Q₈	—	4	4	no	—
1413	C₄×Q₈	—	4	2	no	—
1414	C₄×Q₈	—	4	2	no	—
1415	C₄×Q₈	—	4	2	no	—
1416	C₄×Q₈	—	4	2	no	—
1417	C₄×Q₈	—	4	2	no	—
1418	C₄×D₄	—	2	4	no	—
1419	C₄×D₄	—	4	4	no	—
1420	C₄×D₄	—	4	2	no	—
1421	C₄×D₄	—	4	2	no	—
1422	C₄×D₄	—	4	2	no	—
1423	C₄×D₄	—	4	2	no	—
1424	C₄×D₄	—	4	2	no	—
1425	C₄×D₄	—	4	2	no	—
1426	C₄×D₄	—	4	2	no	—
1427	C₄×D₄	—	4	4	no	—
1428	#117	—	2	4	no	—
1429	#117	—	2	4	no	—
1430	#117	—	2	4	no	—
1431	#117	—	2	4	no	—
1432	#117	—	2	8	no	—
1433	#117	—	4	2	no	—
1434	#117	—	4	4	no	—
1435	#117	—	4	4	no	—
1436	#117	—	4	4	no	—
1437	#117	—	4	4	no	—
1438	#117	—	4	2	no	—
1439	#117	—	4	2	no	—
1440	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1441	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1442	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1443	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1444	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1445	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1447	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1449	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1451	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1452	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1453	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1454	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1455	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1456	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1457	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1458	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1459	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1460	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1461	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1463	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1464	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1470	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1471	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1473	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1474	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1475	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1476	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1486	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1487	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1488	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1489	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1490	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1491	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1492	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1493	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1494	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1495	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1500	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1501	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1502	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1503	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1504	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1505	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1506	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1507	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1508	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1509	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1510	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1511	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1512	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1513	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1514	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1515	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1516	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1517	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
1543	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1544	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1545	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1546	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1547	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1549	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1551	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1553	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1554	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1555	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1556	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1557	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1558	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1559	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1560	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1561	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1562	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1563	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1564	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1565	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1566	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1567	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1568	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1569	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1570	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1571	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1572	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1573	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1574	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1575	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1576	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1577	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1579	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1580	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1581	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1582	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
1594	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1621	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1622	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1623	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1624	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1634	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1635	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1636	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1637	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1638	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1639	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1640	C₂×C₄²	—	4	4	no	—
1641	C₂×C₄²	—	4	2	no	—
1642	C₂×C₄²	—	4	2	no	—
1643	C₂×C₄²	—	4	2	no	—
1644	C₂×C₄²	C₂⁴	1	2	yes	—
1645	C₂×C₄²	C₂⁴	1	2	yes	—
1646	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1647	C₂×C₄²	C₂⁴	1	2	yes	—
1648	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1649	C₂×C₄²	C₂⁴	1	2	yes	—
1650	C₂×C₄²	C₂⁴	1	2	yes	—
1651	C₂×C₄²	C₂⁴	1	2	yes	—
1652	C₂×C₄²	C₂⁴	1	2	yes	—
1653	C₂×C₄²	C₂⁴	1	2	yes	—
1654	C₂×C₄²	C₂⁴	1	2	yes	—
1655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1656	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1657	C₂×C₄²	C₂⁴	1	2	yes	—
1658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1665	C₂×C₄²	C₂⁴	1	2	yes	—
1666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1667	C₂×C₄²	C₂⁴	1	2	yes	—
1668	C₂×C₄²	C₂⁴	1	2	yes	—
1669	C₂×C₄²	C₂⁴	1	2	yes	—
1670	C₂×C₄²	C₂⁴	1	2	yes	—
1671	C₂×C₄²	C₂⁴	1	2	yes	—
1672	C₂×C₄²	C₂⁴	1	2	yes	—
1673	C₂×C₄²	C₂⁴	1	2	yes	—
1674	C₂×C₄²	C₂⁴	1	2	yes	—
1675	C₂×C₄²	C₂⁴	1	2	yes	—
1676	C₂×C₄²	C₂⁴	1	2	yes	—
1677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1679	C₂×C₄²	C₂⁴	1	2	yes	—
1680	C₂×C₄²	C₂⁴	1	2	yes	—
1681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1683	C₂×C₄²	C₂⁴	1	2	yes	—
1684	C₂×C₄²	C₂⁴	1	2	yes	—
1685	C₂×C₄²	C₂⁴	1	2	yes	—
1686	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1687	#95	C₂⁴	1	1	yes	characteristic
1688	#95	C₂⁴	1	1	yes	characteristic
1689	#95	C₂⁴	1	1	yes	characteristic
1690	#95	C₂⁴	1	2	yes	—
1691	#95	C₂⁴	1	2	yes	—
1692	#95	C₂⁴	1	2	yes	—
1693	#95	C₂⁴	1	2	yes	—
1694	#95	C₂⁴	1	2	yes	—
1695	#95	C₂⁴	1	2	yes	—
1696	#95	C₂⁴	1	2	yes	—
1697	#95	C₂⁴	1	2	yes	—
1698	#95	C₂⁴	1	2	yes	—
1699	#95	C₂⁴	1	2	yes	—
1700	#95	C₂⁴	1	2	yes	—
1701	#95	C₂⁴	1	1	yes	characteristic
1702	#95	C₂⁴	1	1	yes	characteristic
1703	#95	C₂⁴	1	1	yes	characteristic
1704	#95	C₂⁴	1	2	yes	—
1705	#95	C₂⁴	1	2	yes	—
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	2	yes	—
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	2	yes	—
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	1	yes	characteristic
1712	#95	C₂⁴	1	1	yes	characteristic
1713	#95	C₂⁴	1	1	yes	characteristic
1714	#95	C₂⁴	1	1	yes	characteristic
1715	#95	C₂⁴	1	1	yes	characteristic
1716	#95	C₂⁴	1	1	yes	characteristic
1717	#95	C₂⁴	1	1	yes	characteristic
1718	#95	C₂⁴	1	1	yes	characteristic
1719	#95	C₂⁴	1	1	yes	characteristic
1720	#95	C₂⁴	1	1	yes	characteristic
1721	#95	C₂⁴	1	1	yes	characteristic
1722	#95	C₂⁴	1	1	yes	characteristic
1723	#95	C₂⁴	1	1	yes	characteristic
1724	#95	C₂⁴	1	1	yes	characteristic
1725	#95	C₂⁴	1	1	yes	characteristic
1726	#95	C₂⁴	1	2	yes	—
1727	#95	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1737	#95	C₂⁴	1	1	yes	characteristic
1738	#95	C₂⁴	1	1	yes	characteristic
1739	#95	C₂⁴	1	2	yes	—
1740	#95	C₂⁴	1	2	yes	—
1741	#95	C₂⁴	1	2	yes	—
1742	#95	C₂⁴	1	2	yes	—
1743	#95	C₂⁴	1	1	yes	characteristic
1744	#95	C₂⁴	1	2	yes	—
1745	#95	C₂⁴	1	2	yes	—
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	2	yes	—
1749	#95	C₂⁴	1	2	yes	—
1750	#95	C₂⁴	1	1	yes	characteristic
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	1	yes	characteristic
1753	#95	C₂⁴	1	2	yes	—
1754	#95	C₂⁴	1	2	yes	—
1755	#95	C₂⁴	1	1	yes	characteristic
1756	#95	C₂⁴	1	1	yes	characteristic
1757	#95	C₂⁴	1	2	yes	—
1758	#95	C₂⁴	1	2	yes	—
1759	#95	C₂⁴	1	2	yes	—
1760	#95	C₂⁴	1	1	yes	characteristic
1761	#95	C₂⁴	1	1	yes	characteristic
1762	#95	C₂⁴	1	1	yes	characteristic
1763	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1775	#95	C₂⁴	1	1	yes	characteristic
1776	#95	C₂⁴	1	1	yes	characteristic
1777	#95	C₂⁴	1	1	yes	characteristic
1778	#95	C₂⁴	1	2	yes	—
1779	#95	C₂⁴	1	2	yes	—
1780	#95	C₂⁴	1	2	yes	—
1781	#95	C₂⁴	1	1	yes	characteristic
1782	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1789	#95	C₂⁴	1	2	yes	—
1790	#95	C₂⁴	1	2	yes	—
1791	#95	C₂⁴	1	2	yes	—
1792	#95	C₂⁴	1	2	yes	—
1793	#95	C₂⁴	1	2	yes	—
1794	#95	C₂⁴	1	2	yes	—
1795	#95	C₂⁴	1	2	yes	—
1796	#95	C₂⁴	1	2	yes	—
1797	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1815	#95	C₂⁴	1	2	yes	—
1816	#95	C₂⁴	1	2	yes	—
1817	#95	C₂⁴	1	2	yes	—
1818	#95	C₂⁴	1	2	yes	—
1819	#95	C₂⁴	1	2	yes	—
1820	C₂⁴	C₂⁵	1	1	yes	characteristic
1821	C₂⁴	C₂⁵	1	1	yes	characteristic
1822	C₂⁴	C₂⁵	1	1	yes	characteristic
1823	C₂⁴	C₂⁵	1	1	yes	characteristic
1824	C₂⁴	C₂⁵	1	2	yes	—
1825	#41	—	4	16	no	—
1826	C₂×Q₈	—	2	2	no	—
1827	C₂×Q₈	—	2	2	no	—
1828	C₂×Q₈	—	2	2	no	—
1829	C₂×Q₈	—	2	2	no	—
1830	C₂×Q₈	—	2	2	no	—
1831	C₂×Q₈	—	2	2	no	—
1832	C₂×Q₈	—	2	2	no	—
1833	C₂×Q₈	—	2	2	no	—
1834	C₂×Q₈	—	2	2	no	—
1835	C₂×Q₈	—	2	2	no	—
1836	C₂×Q₈	—	2	2	no	—
1837	C₂×Q₈	—	2	2	no	—
1838	C₂×Q₈	—	2	2	no	—
1839	C₂×Q₈	—	2	2	no	—
1840	C₂×Q₈	—	2	4	no	—
1841	C₂×Q₈	—	4	2	no	—
1842	C₂×Q₈	—	4	2	no	—
1843	C₂×Q₈	—	4	2	no	—
1844	C₂×Q₈	—	4	1	no	—
1845	C₂×Q₈	—	4	2	no	—
1846	C₂×Q₈	—	4	2	no	—
1847	C₂×Q₈	—	4	2	no	—
1848	C₂×Q₈	—	4	1	no	—
1849	C₂×Q₈	—	4	1	no	—
1850	C₂×Q₈	—	4	2	no	—
1851	C₂×Q₈	—	4	2	no	—
1852	C₂×Q₈	—	4	2	no	—
1853	C₂×Q₈	—	4	2	no	—
1854	C₂×Q₈	—	4	2	no	—
1855	C₂×Q₈	—	4	1	no	—
1856	C₂×Q₈	—	4	16	no	—
1857	C₂×D₄	—	2	2	no	—
1858	C₂×D₄	—	2	2	no	—
1859	C₂×D₄	—	2	2	no	—
1860	C₂×D₄	—	2	2	no	—
1861	C₂×D₄	—	2	2	no	—
1862	C₂×D₄	—	2	2	no	—
1863	C₂×D₄	—	4	2	no	—
1864	C₂×D₄	—	4	2	no	—
1865	C₂×D₄	—	4	2	no	—
1866	C₂×D₄	—	4	1	no	—
1867	C₂×D₄	—	4	1	no	—
1868	C₂×D₄	—	4	1	no	—
1869	C₂×D₄	—	4	1	no	—
1870	C₂×D₄	—	4	1	no	—
1871	C₂×D₄	—	4	1	no	—
1872	C₂×D₄	—	4	1	no	—
1873	C₂×D₄	—	4	1	no	—
1874	C₂×D₄	—	4	1	no	—
1875	C₂×D₄	—	4	1	no	—
1876	C₂×D₄	—	4	1	no	—
1877	C₂×D₄	—	4	1	no	—
1878	C₂×D₄	—	4	1	no	—
1879	C₂×D₄	—	4	1	no	—
1880	C₂×D₄	—	4	1	no	—
1881	C₂×D₄	—	4	2	no	—
1882	C₂×D₄	—	4	2	no	—
1883	C₂×D₄	—	4	2	no	—
1884	C₂×D₄	—	4	2	no	—
1885	C₂×D₄	—	4	2	no	—
1886	C₂×D₄	—	4	2	no	—
1887	C₂×D₄	—	4	2	no	—
1888	C₂×D₄	—	4	2	no	—
1889	C₂×D₄	—	4	2	no	—
1890	C₂²×C₄	—	2	2	no	—
1891	C₂²×C₄	—	2	4	no	—
1892	C₂²×C₄	—	2	2	no	—
1893	C₂²×C₄	—	2	2	no	—
1894	C₂²×C₄	—	2	2	no	—
1895	C₂²×C₄	—	2	4	no	—
1896	C₂²×C₄	—	2	2	no	—
1897	C₂²×C₄	—	2	2	no	—
1898	C₂²×C₄	—	2	2	no	—
1899	C₂²×C₄	—	2	2	no	—
1900	C₂²×C₄	—	2	2	no	—
1901	C₂²×C₄	—	2	2	no	—
1902	C₂²×C₄	—	2	2	no	—
1903	C₂²×C₄	—	2	2	no	—
1904	C₂²×C₄	—	2	2	no	—
1905	C₂²×C₄	—	2	2	no	—
1906	C₂²×C₄	—	2	2	no	—
1907	C₂²×C₄	—	2	4	no	—
1908	C₂²×C₄	—	2	2	no	—
1909	C₂²×C₄	—	2	2	no	—
1910	C₂²×C₄	—	4	2	no	—
1911	C₂²×C₄	—	4	2	no	—
1912	C₂²×C₄	—	4	2	no	—
1913	C₂²×C₄	—	4	2	no	—
1914	C₂²×C₄	—	4	2	no	—
1915	C₂²×C₄	—	4	2	no	—
1916	C₂²×C₄	—	4	2	no	—
1917	C₂²×C₄	—	4	1	no	—
1918	C₂²×C₄	—	4	2	no	—
1919	C₂²×C₄	—	4	1	no	—
1920	C₂²×C₄	—	4	1	no	—
1921	C₂²×C₄	—	4	1	no	—
1922	C₂²×C₄	—	4	1	no	—
1923	C₂²×C₄	—	4	1	no	—
1924	C₂²×C₄	—	4	1	no	—
1925	C₂²×C₄	—	4	1	no	—
1926	C₂²×C₄	—	4	1	no	—
1927	C₂²×C₄	—	4	2	no	—
1928	C₂²×C₄	—	4	1	no	—
1929	C₂²×C₄	—	4	1	no	—
1930	C₂²×C₄	—	4	1	no	—
1931	C₂²×C₄	—	4	1	no	—
1932	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1933	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1934	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1935	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1936	C₂²×C₄	C₂⁵	1	2	yes	—
1937	C₂²×C₄	C₂⁵	1	2	yes	—
1938	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1939	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1940	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1942	C₂²×C₄	C₂⁵	1	2	yes	—
1943	C₂²×C₄	C₂⁵	1	2	yes	—
1944	C₂²×C₄	C₂⁵	1	2	yes	—
1945	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1946	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1947	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1948	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1949	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1950	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1951	C₂²×C₄	C₂⁵	1	2	yes	—
1952	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1953	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1954	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1955	C₂²×C₄	C₂⁵	1	2	yes	—
1956	C₂²×C₄	C₂⁵	1	2	yes	—
1957	C₂²×C₄	C₂⁵	1	2	yes	—
1958	C₂²×C₄	C₂⁵	1	2	yes	—
1959	C₂²×C₄	C₂⁵	1	2	yes	—
1960	C₂²×C₄	C₂⁵	1	2	yes	—
1961	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1962	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1963	C₂²×C₄	C₂⁵	1	2	yes	—
1964	C₂²×C₄	C₂⁵	1	2	yes	—
1965	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1966	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1967	C₂²×C₄	C₂⁵	1	2	yes	—
1968	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1969	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1970	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1971	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1972	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1973	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1974	C₄⋊C₄	—	2	2	no	—
1975	C₄⋊C₄	—	2	2	no	—
1976	C₄⋊C₄	—	2	2	no	—
1977	C₄⋊C₄	—	2	2	no	—
1978	C₄⋊C₄	—	2	4	no	—
1979	C₄⋊C₄	—	2	4	no	—
1980	C₄⋊C₄	—	2	4	no	—
1981	C₄⋊C₄	—	2	4	no	—
1982	C₄⋊C₄	—	2	4	no	—
1983	C₄⋊C₄	—	2	2	no	—
1984	C₄⋊C₄	—	2	2	no	—
1985	C₄⋊C₄	—	2	2	no	—
1986	C₄⋊C₄	—	2	2	no	—
1987	C₄⋊C₄	—	2	2	no	—
1988	C₄⋊C₄	—	2	2	no	—
1989	C₄⋊C₄	—	2	2	no	—
1990	C₄⋊C₄	—	2	2	no	—
1991	C₄⋊C₄	—	2	2	no	—
1992	C₄⋊C₄	—	2	2	no	—
1993	C₄⋊C₄	—	2	2	no	—
1994	C₄⋊C₄	—	2	2	no	—
1995	C₄⋊C₄	—	2	4	no	—
1996	C₄⋊C₄	—	2	2	no	—
1997	C₄⋊C₄	—	2	2	no	—
1998	C₄⋊C₄	—	2	2	no	—
1999	C₄⋊C₄	—	2	2	no	—
2000	C₄⋊C₄	—	2	2	no	—
2001	C₄⋊C₄	—	2	4	no	—
2002	C₄⋊C₄	—	2	4	no	—
2003	C₄⋊C₄	—	2	2	no	—
2004	C₄⋊C₄	—	2	4	no	—
2005	C₄⋊C₄	—	2	2	no	—
2006	C₄⋊C₄	—	4	1	no	—
2007	C₄⋊C₄	—	4	1	no	—
2008	C₄⋊C₄	—	4	1	no	—
2009	C₄⋊C₄	—	4	2	no	—
2010	C₄⋊C₄	—	4	1	no	—
2011	C₄⋊C₄	—	4	2	no	—
2012	C₄⋊C₄	—	4	2	no	—
2013	C₄⋊C₄	—	4	2	no	—
2014	C₄⋊C₄	—	4	1	no	—
2015	C₄⋊C₄	—	4	2	no	—
2016	C₄⋊C₄	—	4	1	no	—
2017	C₄⋊C₄	—	4	2	no	—
2018	C₄⋊C₄	—	4	2	no	—
2019	C₄⋊C₄	—	4	1	no	—
2020	C₄⋊C₄	—	4	2	no	—
2021	C₄⋊C₄	—	4	1	no	—
2022	C₄⋊C₄	—	4	1	no	—
2023	C₄⋊C₄	—	4	1	no	—
2024	C₄⋊C₄	—	4	1	no	—
2025	C₄⋊C₄	—	4	1	no	—
2026	C₄⋊C₄	—	4	1	no	—
2027	C₄⋊C₄	—	4	1	no	—
2028	C₄⋊C₄	—	4	1	no	—
2029	C₄⋊C₄	—	4	1	no	—
2030	C₄⋊C₄	—	4	2	no	—
2031	C₄⋊C₄	—	4	2	no	—
2032	C₄⋊C₄	—	4	2	no	—
2033	C₄⋊C₄	—	4	2	no	—
2034	C₄⋊C₄	—	4	2	no	—
2035	C₄⋊C₄	—	4	2	no	—
2036	C₄⋊C₄	—	4	2	no	—
2037	C₄⋊C₄	—	4	2	no	—
2038	C₄⋊C₄	—	4	1	no	—
2039	C₄⋊C₄	—	4	1	no	—
2040	C₄⋊C₄	—	4	2	no	—
2041	C₄⋊C₄	—	4	2	no	—
2042	C₄⋊C₄	—	4	2	no	—
2043	C₄⋊C₄	—	4	2	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	2	no	—
2047	C₄⋊C₄	—	4	2	no	—
2048	C₄⋊C₄	—	4	2	no	—
2049	C₄⋊C₄	—	4	2	no	—
2050	C₄⋊C₄	—	4	2	no	—
2051	C₄⋊C₄	—	4	1	no	—
2052	C₄⋊C₄	—	4	2	no	—
2053	C₄⋊C₄	—	4	2	no	—
2054	C₄⋊C₄	—	4	1	no	—
2055	C₄⋊C₄	—	4	2	no	—
2056	C₄⋊C₄	—	4	2	no	—
2057	C₄⋊C₄	—	4	2	no	—
2058	C₄⋊C₄	—	4	2	no	—
2059	C₄⋊C₄	—	4	2	no	—
2060	C₄⋊C₄	—	4	2	no	—
2061	C₄⋊C₄	—	4	2	no	—
2062	C₄⋊C₄	—	4	2	no	—
2063	C₄⋊C₄	—	4	2	no	—
2064	C₄⋊C₄	—	4	2	no	—
2065	C₄⋊C₄	—	4	2	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	2	no	—
2077	C₄⋊C₄	—	4	2	no	—
2078	C₄⋊C₄	—	4	2	no	—
2079	C₄⋊C₄	—	4	2	no	—
2080	C₄⋊C₄	—	4	2	no	—
2081	C₄⋊C₄	—	4	2	no	—
2082	C₄⋊C₄	—	4	2	no	—
2083	C₄⋊C₄	—	4	2	no	—
2084	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2085	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2086	C₂²⋊C₄	—	2	4	no	—
2087	C₂²⋊C₄	—	2	4	no	—
2088	C₂²⋊C₄	—	2	4	no	—
2089	C₂²⋊C₄	—	2	4	no	—
2090	C₂²⋊C₄	—	2	4	no	—
2091	C₂²⋊C₄	—	2	4	no	—
2092	C₂²⋊C₄	—	2	4	no	—
2093	C₂²⋊C₄	—	2	2	no	—
2094	C₂²⋊C₄	—	2	2	no	—
2095	C₂²⋊C₄	—	2	2	no	—
2096	C₂²⋊C₄	—	2	2	no	—
2097	C₂²⋊C₄	—	2	2	no	—
2098	C₂²⋊C₄	—	2	2	no	—
2099	C₂²⋊C₄	—	2	2	no	—
2100	C₂²⋊C₄	—	2	2	no	—
2101	C₂²⋊C₄	—	2	2	no	—
2102	C₂²⋊C₄	—	2	4	no	—
2103	C₂²⋊C₄	—	4	1	no	—
2104	C₂²⋊C₄	—	4	1	no	—
2105	C₂²⋊C₄	—	4	1	no	—
2106	C₂²⋊C₄	—	4	1	no	—
2107	C₂²⋊C₄	—	4	2	no	—
2108	C₂²⋊C₄	—	4	1	no	—
2109	C₂²⋊C₄	—	4	2	no	—
2110	C₂²⋊C₄	—	4	2	no	—
2111	C₂²⋊C₄	—	4	2	no	—
2112	C₂²⋊C₄	—	4	1	no	—
2113	C₂²⋊C₄	—	4	1	no	—
2114	C₂²⋊C₄	—	4	2	no	—
2115	C₂²⋊C₄	—	4	2	no	—
2116	C₂²⋊C₄	—	4	2	no	—
2117	C₂²⋊C₄	—	4	1	no	—
2118	C₂²⋊C₄	—	4	1	no	—
2119	C₂²⋊C₄	—	4	1	no	—
2120	C₂²⋊C₄	—	4	1	no	—
2121	C₂²⋊C₄	—	4	1	no	—
2122	C₂²⋊C₄	—	4	1	no	—
2123	C₂²⋊C₄	—	4	1	no	—
2124	C₂²⋊C₄	—	4	1	no	—
2125	C₂²⋊C₄	—	4	1	no	—
2126	C₂²⋊C₄	—	4	1	no	—
2127	C₂²⋊C₄	—	4	1	no	—
2128	C₂²⋊C₄	—	4	1	no	—
2129	C₂²⋊C₄	—	4	2	no	—
2130	C₂²⋊C₄	—	4	2	no	—
2131	C₂²⋊C₄	—	4	2	no	—
2132	C₂²⋊C₄	—	4	2	no	—
2133	C₂²⋊C₄	—	4	1	no	—
2134	C₂²⋊C₄	—	4	1	no	—
2135	C₂²⋊C₄	—	4	1	no	—
2136	C₂²⋊C₄	—	4	1	no	—
2137	C₂²⋊C₄	—	4	2	no	—
2138	C₂²⋊C₄	—	4	2	no	—
2139	C₂²⋊C₄	—	4	2	no	—
2140	C₂²⋊C₄	—	4	2	no	—
2141	C₂²⋊C₄	—	4	2	no	—
2142	C₂²⋊C₄	—	4	2	no	—
2143	C₂²⋊C₄	—	4	2	no	—
2144	C₂²⋊C₄	—	4	2	no	—
2145	C₂²⋊C₄	—	4	2	no	—
2146	C₂²⋊C₄	—	4	2	no	—
2147	C₂²⋊C₄	—	4	2	no	—
2148	C₂²⋊C₄	—	4	2	no	—
2149	C₂²⋊C₄	—	4	2	no	—
2150	C₂²⋊C₄	—	4	1	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	1	no	—
2162	C₂²⋊C₄	—	4	2	no	—
2163	C₂²⋊C₄	—	4	2	no	—
2164	C₂²⋊C₄	—	4	1	no	—
2165	C₂²⋊C₄	—	4	1	no	—
2166	C₂²⋊C₄	—	4	1	no	—
2167	C₂²⋊C₄	—	4	1	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	C₄²	—	2	4	no	—
2175	C₄²	—	2	2	no	—
2176	C₄²	—	2	2	no	—
2177	C₄²	—	2	4	no	—
2178	C₄²	—	2	4	no	—
2179	C₄²	—	2	4	no	—
2180	C₄²	—	2	4	no	—
2181	C₄²	—	2	4	no	—
2182	C₄²	—	2	2	no	—
2183	C₄²	—	2	2	no	—
2184	C₄²	—	2	4	no	—
2185	C₄²	—	2	4	no	—
2186	C₄²	—	2	2	no	—
2187	C₄²	—	2	4	no	—
2188	C₄²	—	2	4	no	—
2189	C₄²	—	2	2	no	—
2190	C₄²	—	2	2	no	—
2191	C₄²	—	2	2	no	—
2192	C₄²	—	2	2	no	—
2193	C₄²	—	2	2	no	—
2194	C₄²	—	2	2	no	—
2195	C₄²	—	2	4	no	—
2196	C₄²	—	4	1	no	—
2197	C₄²	—	4	1	no	—
2198	C₄²	—	4	1	no	—
2199	C₄²	—	4	1	no	—
2200	C₄²	—	4	1	no	—
2201	C₄²	—	4	1	no	—
2202	C₄²	—	4	2	no	—
2203	C₄²	—	4	2	no	—
2204	C₄²	—	4	2	no	—
2205	C₄²	—	4	2	no	—
2206	C₄²	—	4	2	no	—
2207	C₄²	—	4	2	no	—
2208	C₄²	—	4	2	no	—
2209	C₄²	—	4	2	no	—
2210	C₄²	—	4	2	no	—
2211	C₄²	—	4	2	no	—
2212	C₄²	—	4	2	no	—
2213	C₄²	—	4	2	no	—
2214	C₄²	—	4	2	no	—
2215	C₄²	—	4	2	no	—
2216	C₄²	—	4	2	no	—
2217	C₂³	—	2	1	no	—
2218	C₂³	—	2	1	no	—
2219	C₂³	—	2	1	no	—
2220	C₂³	—	2	1	no	—
2221	C₂³	—	2	2	no	—
2222	C₂³	—	2	1	no	—
2223	C₂³	—	2	2	no	—
2224	C₂³	—	2	1	no	—
2225	C₂³	—	2	1	no	—
2226	C₂³	—	2	1	no	—
2227	C₂³	—	2	2	no	—
2228	C₂³	—	2	1	no	—
2229	C₂³	—	2	1	no	—
2230	C₂³	—	2	1	no	—
2231	C₂³	—	2	1	no	—
2232	C₂³	—	2	2	no	—
2233	C₂³	—	2	1	no	—
2234	C₂³	—	2	1	no	—
2235	C₂³	—	2	1	no	—
2236	C₂³	—	2	1	no	—
2237	C₂³	—	2	1	no	—
2238	C₂³	—	2	2	no	—
2239	C₂³	—	2	1	no	—
2240	C₂³	—	2	1	no	—
2241	C₂³	—	2	1	no	—
2242	C₂³	—	2	1	no	—
2243	C₂³	—	2	1	no	—
2244	C₂³	—	2	1	no	—
2245	C₂³	—	2	2	no	—
2246	C₂³	—	2	1	no	—
2247	C₂³	—	2	1	no	—
2248	C₂³	—	2	1	no	—
2249	C₂³	—	2	1	no	—
2250	C₂³	—	2	1	no	—
2251	C₂³	—	2	2	no	—
2252	C₂³	C₂⁶	1	1	yes	characteristic
2253	Q₈	—	4	8	no	—
2254	Q₈	—	4	4	no	—
2255	Q₈	—	4	4	no	—
2256	Q₈	—	4	4	no	—
2257	Q₈	—	4	4	no	—
2258	Q₈	—	8	4	no	—
2259	Q₈	—	8	2	no	—
2260	Q₈	—	8	2	no	—
2261	Q₈	—	8	4	no	—
2262	Q₈	—	8	4	no	—
2263	D₄	—	4	8	no	—
2264	D₄	—	4	4	no	—
2265	D₄	—	8	2	no	—
2266	D₄	—	8	2	no	—
2267	D₄	—	8	2	no	—
2268	D₄	—	8	2	no	—
2269	D₄	—	8	2	no	—
2270	D₄	—	8	2	no	—
2271	D₄	—	16	2	no	—
2272	D₄	—	16	2	no	—
2273	D₄	—	16	2	no	—
2274	C₂×C₄	—	2	1	no	—
2275	C₂×C₄	—	2	1	no	—
2276	C₂×C₄	—	2	2	no	—
2277	C₂×C₄	—	2	1	no	—
2278	C₂×C₄	—	2	1	no	—
2279	C₂×C₄	—	2	1	no	—
2280	C₂×C₄	—	2	1	no	—
2281	C₂×C₄	—	2	1	no	—
2282	C₂×C₄	—	2	1	no	—
2283	C₂×C₄	—	2	2	no	—
2284	C₂×C₄	—	2	1	no	—
2285	C₂×C₄	—	2	1	no	—
2286	C₂×C₄	—	2	1	no	—
2287	C₂×C₄	—	2	1	no	—
2288	C₂×C₄	—	2	1	no	—
2289	C₂×C₄	—	2	1	no	—
2290	C₂×C₄	—	2	1	no	—
2291	C₂×C₄	—	2	1	no	—
2292	C₂×C₄	—	2	1	no	—
2293	C₂×C₄	—	2	2	no	—
2294	C₂×C₄	—	2	1	no	—
2295	C₂×C₄	—	2	1	no	—
2296	C₂×C₄	—	2	1	no	—
2297	C₂×C₄	—	2	2	no	—
2298	C₂×C₄	—	2	1	no	—
2299	C₂×C₄	—	2	2	no	—
2300	C₂×C₄	—	2	2	no	—
2301	C₂×C₄	—	2	2	no	—
2302	C₂×C₄	—	2	2	no	—
2303	C₂×C₄	—	2	2	no	—
2304	C₂×C₄	—	2	1	no	—
2305	C₂×C₄	—	2	2	no	—
2306	C₂×C₄	—	2	2	no	—
2307	C₂×C₄	—	2	2	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	2	no	—
2324	C₂×C₄	—	2	2	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	1	no	—
2331	C₂×C₄	—	2	1	no	—
2332	C₂×C₄	—	2	2	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	2	no	—
2338	C₂×C₄	—	2	2	no	—
2339	C₂×C₄	—	2	2	no	—
2340	C₂×C₄	—	2	2	no	—
2341	C₂×C₄	—	2	2	no	—
2342	C₂×C₄	—	2	2	no	—
2343	C₂×C₄	—	2	2	no	—
2344	C₂×C₄	—	2	2	no	—
2345	C₂×C₄	—	2	2	no	—
2346	C₂×C₄	—	2	1	no	—
2347	C₂×C₄	—	2	1	no	—
2348	C₂×C₄	—	2	2	no	—
2349	C₂×C₄	—	2	1	no	—
2350	C₂×C₄	—	2	1	no	—
2351	C₂×C₄	—	2	1	no	—
2352	C₂×C₄	—	2	1	no	—
2353	C₂×C₄	—	2	1	no	—
2354	C₂×C₄	—	2	1	no	—
2355	C₂×C₄	—	2	1	no	—
2356	C₂×C₄	—	2	1	no	—
2357	C₂×C₄	—	2	2	no	—
2358	C₂×C₄	—	2	1	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	1	no	—
2364	C₂×C₄	—	2	2	no	—
2365	C₂×C₄	—	2	2	no	—
2366	C₂×C₄	—	2	1	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	2	no	—
2373	C₂×C₄	—	2	2	no	—
2374	C₂×C₄	—	2	2	no	—
2375	C₂×C₄	—	2	2	no	—
2376	C₂×C₄	—	2	1	no	—
2377	C₂×C₄	—	2	2	no	—
2378	C₂×C₄	—	2	1	no	—
2379	C₂×C₄	—	2	1	no	—
2380	C₂×C₄	—	2	1	no	—
2381	C₂×C₄	—	2	2	no	—
2382	C₂×C₄	—	2	1	no	—
2383	C₂×C₄	—	2	2	no	—
2384	C₂×C₄	—	2	2	no	—
2385	C₂×C₄	—	2	2	no	—
2386	C₂×C₄	—	2	1	no	—
2387	C₂×C₄	—	2	1	no	—
2388	C₂×C₄	—	2	1	no	—
2389	C₂×C₄	—	2	1	no	—
2390	C₂×C₄	—	2	1	no	—
2391	C₂×C₄	—	4	8	no	—
2392	C₂×C₄	—	4	8	no	—
2393	C₂×C₄	—	4	8	no	—
2394	C₂×C₄	—	4	4	no	—
2395	C₂×C₄	—	4	4	no	—
2396	C₂×C₄	—	4	4	no	—
2397	C₂×C₄	—	4	4	no	—
2398	C₂×C₄	—	8	2	no	—
2399	C₂×C₄	—	8	4	no	—
2400	C₂×C₄	—	8	2	no	—
2401	C₂×C₄	—	8	2	no	—
2402	C₂×C₄	—	8	2	no	—
2403	C₂×C₄	—	8	2	no	—
2404	C₂×C₄	—	8	2	no	—
2405	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2406	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2407	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2408	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2409	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2410	C₂×C₄	#585	1	2	yes	—
2411	C₂×C₄	#585	1	2	yes	—
2412	C₂×C₄	#585	1	2	yes	—
2413	C₂×C₄	#585	1	2	yes	—
2414	C₂²	—	4	1	no	—
2415	C₂²	—	4	2	no	—
2416	C₂²	—	4	1	no	—
2417	C₂²	—	4	1	no	—
2418	C₂²	—	4	1	no	—
2419	C₂²	—	4	1	no	—
2420	C₂²	—	4	1	no	—
2421	C₂²	—	4	1	no	—
2422	C₂²	—	4	1	no	—
2423	C₂²	—	4	2	no	—
2424	C₂²	—	4	2	no	—
2425	C₂²	—	4	1	no	—
2426	C₂²	—	4	1	no	—
2427	C₂²	—	4	1	no	—
2428	C₂²	—	4	1	no	—
2429	C₂²	—	4	1	no	—
2430	C₂²	—	4	1	no	—
2431	C₂²	—	4	1	no	—
2432	C₂²	—	4	1	no	—
2433	C₂²	—	4	2	no	—
2434	C₂²	—	4	2	no	—
2435	C₂²	—	4	1	no	—
2436	C₂²	—	4	1	no	—
2437	C₂²	—	4	1	no	—
2438	C₂²	—	4	1	no	—
2439	C₂²	—	4	1	no	—
2440	C₂²	—	4	2	no	—
2441	C₂²	—	4	1	no	—
2442	C₂²	—	4	1	no	—
2443	C₂²	—	4	1	no	—
2444	C₂²	—	4	2	no	—
2445	C₂²	—	4	1	no	—
2446	C₂²	—	4	1	no	—
2447	C₂²	—	4	1	no	—
2448	C₂²	—	4	1	no	—
2449	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2450	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2451	C₂²	C₂×#585	1	1	yes	characteristic
2452	C₂²	C₂×#585	1	1	yes	characteristic
2453	C₂²	C₂×#585	1	1	yes	characteristic
2454	C₂²	C₂×#585	1	1	yes	characteristic
2455	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2456	C₄	—	2	2	no	—
2457	C₄	—	2	2	no	—
2458	C₄	—	2	2	no	—
2459	C₄	—	2	2	no	—
2460	C₄	—	2	2	no	—
2461	C₄	—	2	4	no	—
2462	C₄	—	4	1	no	—
2463	C₄	—	4	1	no	—
2464	C₄	—	4	2	no	—
2465	C₄	—	4	1	no	—
2466	C₄	—	4	1	no	—
2467	C₄	—	4	2	no	—
2468	C₄	—	4	2	no	—
2469	C₄	—	4	2	no	—
2470	C₄	—	4	1	no	—
2471	C₄	—	4	1	no	—
2472	C₄	—	4	1	no	—
2473	C₄	—	4	2	no	—
2474	C₄	—	4	2	no	—
2475	C₄	—	4	1	no	—
2476	C₄	—	4	1	no	—
2477	C₄	—	4	1	no	—
2478	C₄	—	4	1	no	—
2479	C₄	—	4	1	no	—
2480	C₄	—	4	2	no	—
2481	C₄	—	4	1	no	—
2482	C₄	—	4	1	no	—
2483	C₄	—	4	1	no	—
2484	C₄	—	4	1	no	—
2485	C₄	—	4	1	no	—
2486	C₄	—	4	1	no	—
2487	C₄	—	4	1	no	—
2488	C₄	—	4	2	no	—
2489	C₄	—	4	1	no	—
2490	C₄	—	4	2	no	—
2491	C₄	—	4	2	no	—
2492	C₄	—	4	2	no	—
2493	C₄	—	4	1	no	—
2494	C₄	—	4	2	no	—
2495	C₄	—	4	2	no	—
2496	C₄	—	4	2	no	—
2497	C₄	#3529	1	4	yes	—
2498	C₂	—	8	1	no	—
2499	C₂	—	8	2	no	—
2500	C₂	—	8	1	no	—
2501	C₂	—	8	1	no	—
2502	C₂	—	8	1	no	—
2503	C₂	C₂×#3529	1	1	yes	characteristic
2504	C₂	#62911	1	1	yes	characteristic
2505	C₂	#62915	1	1	yes	characteristic
2506	C₂	#62968	1	1	yes	characteristic
2507	C₂	#63019	1	1	yes	characteristic
2508	C₂	#63025	1	1	yes	characteristic
2509	C₂	#63034	1	1	yes	characteristic

	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. #53144	C₂	semidirect
2. #53118	C₂	semidirect
3. #53077	C₂	semidirect
4. #53051	C₂	semidirect
5. #53049	C₂	semidirect
6. #53012	C₂	semidirect
7. #52950	C₂	semidirect
8. #52946	C₂	semidirect
9. #52934	C₂	semidirect
10. #52900	C₂	semidirect
11. #52811	C₂	semidirect
12. #52809	C₂	semidirect
13. #52295	C₂	semidirect
14. #52289	C₂	semidirect
15. #46285	C₂	semidirect
16. #46268	C₂	semidirect
17. #46129	C₂	semidirect
18. #46123	C₂	semidirect
19. #45934	C₂	semidirect
20. #45874	C₂	semidirect
21. #45755	C₂	semidirect
22. #45677	C₂	semidirect
23. #45675	C₂	semidirect
24. #45666	C₂	semidirect
25. #45663	C₂	semidirect
26. #45628	C₂	semidirect
27. #45525	C₂	semidirect
28. #45521	C₂	semidirect
29. #45515	C₂	semidirect
30. #45503	C₂	semidirect
31. #45500	C₂	semidirect
32. #45499	C₂	semidirect
33. #36506	C₂	semidirect
34. #36504	C₂	semidirect
35. #36473	C₂	semidirect
36. #36473	C₂	semidirect
37. #36450	C₂	semidirect
38. #36443	C₂	semidirect
39. #36420	C₂	semidirect
40. #36414	C₂	semidirect
41. #36405	C₂	semidirect
42. #36050	C₂	semidirect
43. #36048	C₂	semidirect
44. #36030	C₂	semidirect
45. #36007	C₂	semidirect
46. #35870	C₂	semidirect
47. #35817	C₂	semidirect

Maximal subgroups

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

subgroup	index
#53144	2
#53118	2
#53077	2
#53051	2
#53049	2
#53012	2
#52950	2
#52946	2
#52934	2
#52900	2
#52811	2
#52809	2
#52295	2
#52289	2
#46285	2
#46268	2
#46129	2
#46123	2
#45934	2
#45874	2
#45755	2
#45677	2
#45675	2
#45666	2
#45663	2
#45628	2
#45525	2
#45521	2
#45515	2
#45503	2
#45500	2
#45499	2
#36506	2
#36504	2
#36473	2
#36450	2
#36443	2
#36420	2
#36414	2
#36405	2
#36050	2
#36048	2
#36030	2
#36007	2
#35870	2
#35817	2