Subgroups — #8699243

Order 512.

4652 conjugacy classes of subgroups.

The subgroup lattice has 2523 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59634	C₂	1	1	yes	maximal, characteristic, complemented
2	#59630	C₂	1	1	yes	maximal, characteristic, complemented
3	#59152	C₂	1	1	yes	maximal, characteristic, complemented
4	#59144	C₂	1	1	yes	maximal, characteristic, complemented
5	#59127	C₂	1	1	yes	maximal, characteristic, complemented
6	#59042	C₂	1	2	yes	maximal, complemented
7	#59036	C₂	1	1	yes	maximal, characteristic, complemented
8	#58896	C₂	1	2	yes	maximal, complemented
9	#56888	C₂	1	2	yes	maximal, complemented
10	#55422	C₂	1	2	yes	maximal, complemented
11	#55164	C₂	1	2	yes	maximal, complemented
12	#54998	C₂	1	2	yes	maximal, complemented
13	#54842	C₂	1	2	yes	maximal, complemented
14	#52304	C₂	1	1	yes	maximal, characteristic, complemented
15	#51358	C₂	1	2	yes	maximal, complemented
16	#50014	C₂	1	2	yes	maximal, complemented
17	#49656	C₂	1	2	yes	maximal, complemented
18	#49557	C₂	1	2	yes	maximal, complemented
19	#48276	C₂	1	2	yes	maximal, complemented
20	#48008	C₂	1	2	yes	maximal, complemented
21	#46174	C₂	1	1	yes	maximal, characteristic, complemented
22	#46105	C₂	1	1	yes	maximal, characteristic, complemented
23	#46075	C₂	1	1	yes	maximal, characteristic, complemented
24	#45364	C₂	1	1	yes	maximal, characteristic, complemented
25	#45341	C₂	1	1	yes	maximal, characteristic, complemented
26	#45039	C₂	1	1	yes	maximal, characteristic, complemented
27	#45029	C₂	1	1	yes	maximal, characteristic, complemented
28	#45001	C₂	1	1	yes	maximal, characteristic, complemented
29	#44950	C₂	1	1	yes	maximal, characteristic, complemented
30	#42886	C₂	1	1	yes	maximal, characteristic, complemented
31	#42754	C₂	1	1	yes	maximal, characteristic, complemented
32	#42624	C₂	1	1	yes	maximal, characteristic, complemented
33	#42611	C₂	1	1	yes	maximal, characteristic, complemented
34	#42574	C₂	1	1	yes	maximal, characteristic, complemented
35	#42481	C₂	1	1	yes	maximal, characteristic, complemented
36	#40222	C₂	1	1	yes	maximal, characteristic, complemented
37	#39866	C₂	1	1	yes	maximal, characteristic, complemented
38	#39720	C₂	1	1	yes	maximal, characteristic, complemented
39	#39411	C₂	1	1	yes	maximal, characteristic, complemented
40	#39221	C₂	1	1	yes	maximal, characteristic, complemented
41	#39029	C₂	1	1	yes	maximal, characteristic, complemented
42	#37275	C₂	1	2	yes	maximal, complemented
43	#36943	C₂	1	2	yes	maximal, complemented
44	#36920	C₂	1	2	yes	maximal, complemented
45	#36479	C₂	1	1	yes	maximal, characteristic, complemented
46	#36471	C₂	1	1	yes	maximal, characteristic
47	#36132	C₂	1	1	yes	maximal, characteristic, complemented
48	C₂×#559	C₂²	1	1	yes	characteristic
49	C₂×#557	C₂²	1	1	yes	characteristic
50	C₂×#553	C₂²	1	1	yes	characteristic
51	C₂×D₄×Q₈	C₂²	1	2	yes	—
52	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
53	C₂×#542	C₂²	1	2	yes	—
54	C₂×#533	C₂²	1	1	yes	characteristic
55	C₂×#533	C₂²	1	2	yes	—
56	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic
57	#2864	C₂²	1	1	yes	characteristic
58	#2861	C₂²	1	1	yes	characteristic
59	#2859	C₂²	1	1	yes	characteristic
60	#2855	C₂²	1	2	yes	—
61	#2854	C₂²	1	1	yes	characteristic
62	#2854	C₂²	1	1	yes	characteristic
63	#2854	C₂²	1	2	yes	—
64	#2851	C₂²	1	2	yes	—
65	#2838	C₂²	1	2	yes	—
66	#2838	C₂²	1	2	yes	—
67	#2838	C₂²	1	2	yes	—
68	#2836	C₂²	1	2	yes	—
69	#2832	C₂²	1	2	yes	—
70	#2832	C₂²	1	2	yes	—
71	#2829	C₂²	1	2	yes	—
72	#2820	C₂²	1	2	yes	—
73	#2814	C₂²	1	2	yes	—
74	#2811	C₂²	1	2	yes	—
75	#2806	C₂²	1	2	yes	—
76	#2806	C₂²	1	2	yes	—
77	#2806	C₂²	1	2	yes	—
78	#2806	C₂²	1	2	yes	—
79	#2805	C₂²	1	1	yes	characteristic
80	#2805	C₂²	1	1	yes	characteristic
81	#2801	C₂²	1	2	yes	—
82	#2801	C₂²	1	2	yes	—
83	#2800	C₂²	1	2	yes	—
84	#2798	C₂²	1	2	yes	—
85	#2798	C₂²	1	2	yes	—
86	#2796	C₂²	1	2	yes	—
87	#2792	C₂²	1	2	yes	—
88	#2792	C₂²	1	2	yes	—
89	#2789	C₂²	1	2	yes	—
90	#2789	C₂²	1	1	yes	characteristic
91	#2789	C₂²	1	1	yes	characteristic
92	#2789	C₂²	1	2	yes	—
93	#2788	C₂²	1	2	yes	—
94	#2787	C₂²	1	2	yes	—
95	#2787	C₂²	1	2	yes	—
96	#2786	C₂²	1	2	yes	—
97	#2779	C₂²	1	2	yes	—
98	#2776	C₂²	1	2	yes	—
99	#2775	C₂²	1	2	yes	—
100	#2775	C₂²	1	2	yes	—
101	#2775	C₂²	1	2	yes	—
102	#2774	C₂²	1	2	yes	—
103	#2773	C₂²	1	2	yes	—
104	#2773	C₂²	1	2	yes	—
105	#2765	C₂²	1	1	yes	characteristic
106	#2765	C₂²	1	1	yes	characteristic
107	#2765	C₂²	1	1	yes	characteristic
108	#2765	C₂²	1	1	yes	characteristic
109	#2762	C₂²	1	2	yes	—
110	#2762	C₂²	1	2	yes	—
111	#2759	C₂²	1	2	yes	—
112	#2759	C₂²	1	2	yes	—
113	#2759	C₂²	1	2	yes	—
114	#2759	C₂²	1	2	yes	—
115	#2759	C₂²	1	2	yes	—
116	#2757	C₂²	1	2	yes	—
117	#2754	C₂²	1	2	yes	—
118	#2751	C₂²	1	2	yes	—
119	#2747	C₂²	1	2	yes	—
120	#2745	C₂²	1	2	yes	—
121	#2745	C₂²	1	2	yes	—
122	#2742	C₂²	1	2	yes	—
123	#2741	C₂²	1	2	yes	—
124	#2738	C₂²	1	2	yes	—
125	#2738	C₂²	1	2	yes	—
126	#2734	C₂²	1	2	yes	—
127	#2731	C₂²	1	2	yes	—
128	#2731	C₂²	1	2	yes	—
129	#2730	C₂²	1	2	yes	—
130	#2724	C₂²	1	1	yes	characteristic
131	#2723	C₂²	1	2	yes	—
132	#2721	C₂²	1	2	yes	—
133	#2721	C₂²	1	2	yes	—
134	#2720	C₂²	1	2	yes	—
135	#2718	C₂²	1	2	yes	—
136	#2717	C₂²	1	1	yes	characteristic
137	#2717	C₂²	1	2	yes	—
138	#2717	C₂²	1	1	yes	characteristic
139	#2716	C₂²	1	2	yes	—
140	#2716	C₂²	1	2	yes	—
141	#2716	C₂²	1	2	yes	—
142	#2716	C₂²	1	2	yes	—
143	#2715	C₂²	1	2	yes	—
144	#2715	C₂²	1	2	yes	—
145	#2713	C₂²	1	2	yes	—
146	#2713	C₂²	1	2	yes	—
147	#2712	C₂²	1	2	yes	—
148	#2712	C₂²	1	2	yes	—
149	#2710	C₂²	1	2	yes	—
150	#2710	C₂²	1	2	yes	—
151	#2704	C₂²	1	2	yes	—
152	#2702	C₂²	1	2	yes	—
153	#2701	C₂²	1	2	yes	—
154	#2700	C₂²	1	2	yes	—
155	#2700	C₂²	1	2	yes	—
156	#2700	C₂²	1	2	yes	—
157	#2700	C₂²	1	2	yes	—
158	#2700	C₂²	1	2	yes	—
159	#2698	C₂²	1	2	yes	—
160	#2694	C₂²	1	2	yes	—
161	#2694	C₂²	1	2	yes	—
162	#2692	C₂²	1	2	yes	—
163	#2692	C₂²	1	2	yes	—
164	#2692	C₂²	1	2	yes	—
165	#2691	C₂²	1	2	yes	—
166	#2690	C₂²	1	1	yes	characteristic
167	#2690	C₂²	1	2	yes	—
168	#2690	C₂²	1	2	yes	—
169	#2690	C₂²	1	1	yes	characteristic
170	#2690	C₂²	1	1	yes	characteristic
171	#2690	C₂²	1	1	yes	characteristic
172	#2690	C₂²	1	2	yes	—
173	#2687	C₂²	1	2	yes	—
174	#2687	C₂²	1	2	yes	—
175	#2687	C₂²	1	2	yes	—
176	#2686	C₂²	1	2	yes	—
177	#2683	C₂²	1	1	yes	characteristic
178	#2681	C₂²	1	2	yes	—
179	#2680	C₂²	1	2	yes	—
180	#2680	C₂²	1	2	yes	—
181	#2680	C₂²	1	2	yes	—
182	#2677	C₂²	1	2	yes	—
183	#2677	C₂²	1	2	yes	—
184	#2677	C₂²	1	2	yes	—
185	#2674	C₂²	1	2	yes	—
186	#2674	C₂²	1	2	yes	—
187	#2674	C₂²	1	2	yes	—
188	#2674	C₂²	1	2	yes	—
189	#2674	C₂²	1	2	yes	—
190	#2672	C₂²	1	2	yes	—
191	#2672	C₂²	1	2	yes	—
192	#2663	C₂²	1	2	yes	—
193	#2653	C₂²	1	2	yes	—
194	#2653	C₂²	1	2	yes	—
195	#2653	C₂²	1	2	yes	—
196	#2653	C₂²	1	2	yes	—
197	#2650	C₂²	1	2	yes	—
198	#2650	C₂²	1	2	yes	—
199	#2649	C₂²	1	2	yes	—
200	#2641	C₂²	1	1	yes	characteristic
201	#2640	C₂²	1	1	yes	characteristic
202	#2638	C₂²	1	2	yes	—
203	#2637	C₂²	1	2	yes	—
204	#2633	C₂²	1	2	yes	—
205	#2632	C₂²	1	2	yes	—
206	#2630	C₂²	1	2	yes	—
207	#2630	C₂²	1	2	yes	—
208	#2625	C₂²	1	2	yes	—
209	#2624	C₂²	1	2	yes	—
210	#2618	C₂²	1	2	yes	—
211	#2614	C₂²	1	2	yes	—
212	#2608	C₂²	1	2	yes	—
213	#2607	C₂²	1	2	yes	—
214	#2607	C₂²	1	2	yes	—
215	#2605	C₂²	1	2	yes	—
216	#2604	C₂²	1	2	yes	—
217	#2602	C₂²	1	2	yes	—
218	#2602	C₂²	1	2	yes	—
219	#2600	C₂²	1	2	yes	—
220	#2596	C₂²	1	2	yes	—
221	#2596	C₂²	1	2	yes	—
222	#2595	C₂²	1	2	yes	—
223	#2592	C₂²	1	1	yes	characteristic
224	#2592	C₂²	1	2	yes	—
225	#2592	C₂²	1	2	yes	—
226	#2586	C₂²	1	2	yes	—
227	#2586	C₂²	1	2	yes	—
228	#2584	C₂²	1	1	yes	characteristic
229	#2584	C₂²	1	1	yes	characteristic
230	#2584	C₂²	1	1	yes	characteristic
231	#2582	C₂²	1	2	yes	—
232	#2581	C₂²	1	2	yes	—
233	#2580	C₂²	1	2	yes	—
234	#2575	C₂²	1	2	yes	—
235	#2574	C₂²	1	2	yes	—
236	#2568	C₂²	1	1	yes	characteristic
237	#2568	C₂²	1	2	yes	—
238	#2567	C₂²	1	1	yes	characteristic
239	#2567	C₂²	1	1	yes	characteristic
240	#2567	C₂²	1	2	yes	—
241	#2565	C₂²	1	1	yes	characteristic
242	#2563	C₂²	1	1	yes	characteristic
243	#2557	C₂²	1	2	yes	—
244	#2556	C₂²	1	2	yes	—
245	#2556	C₂²	1	2	yes	—
246	#2555	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	#2551	C₂²	1	1	yes	characteristic
252	#2550	C₂²	1	1	yes	characteristic
253	#2550	C₂²	1	1	yes	characteristic
254	#2550	C₂²	1	1	yes	characteristic
255	#2550	C₂²	1	1	yes	characteristic
256	#2550	C₂²	1	1	yes	characteristic
257	#2550	C₂²	1	1	yes	characteristic
258	#2550	C₂²	1	1	yes	characteristic
259	#2550	C₂²	1	1	yes	characteristic
260	#2548	C₂²	1	1	yes	characteristic
261	#2547	C₂²	1	2	yes	—
262	#2546	C₂²	1	2	yes	—
263	#2546	C₂²	1	1	yes	characteristic
264	#2546	C₂²	1	1	yes	characteristic
265	#2542	C₂²	1	1	yes	characteristic
266	#2540	C₂²	1	1	yes	characteristic
267	#2538	C₂²	1	2	yes	—
268	#2536	C₂²	1	2	yes	—
269	#2536	C₂²	1	2	yes	—
270	#2533	C₂²	1	2	yes	—
271	#2532	C₂²	1	2	yes	—
272	#2527	C₂²	1	2	yes	—
273	#2525	C₂²	1	2	yes	—
274	#2523	C₂²	1	2	yes	—
275	#2522	C₂²	1	2	yes	—
276	#2521	C₂²	1	2	yes	—
277	#2521	C₂²	1	2	yes	—
278	#2521	C₂²	1	2	yes	—
279	#2516	C₂²	1	2	yes	—
280	#2514	C₂²	1	1	yes	characteristic
281	#2514	C₂²	1	1	yes	characteristic
282	#2513	C₂²	1	1	yes	characteristic
283	#2513	C₂²	1	1	yes	characteristic
284	#2513	C₂²	1	1	yes	characteristic
285	#2512	C₂²	1	1	yes	characteristic
286	#2511	C₂²	1	1	yes	characteristic
287	#2511	C₂²	1	1	yes	characteristic
288	#2507	C₂²	1	2	yes	—
289	#2504	C₂²	1	1	yes	characteristic
290	#2500	C₂²	1	1	yes	characteristic
291	#2496	C₂²	1	1	yes	characteristic
292	#2496	C₂²	1	1	yes	characteristic
293	#2495	C₂²	1	1	yes	characteristic
294	#2494	C₂²	1	1	yes	characteristic
295	#2492	C₂²	1	2	yes	—
296	#2492	C₂²	1	1	yes	characteristic
297	#2492	C₂²	1	1	yes	characteristic
298	#2492	C₂²	1	2	yes	—
299	#2492	C₂²	1	1	yes	characteristic
300	#2491	C₂²	1	1	yes	characteristic
301	#2491	C₂²	1	1	yes	characteristic
302	#2491	C₂²	1	1	yes	characteristic
303	#2491	C₂²	1	1	yes	characteristic
304	#2491	C₂²	1	1	yes	characteristic
305	#2491	C₂²	1	1	yes	characteristic
306	#2490	C₂²	1	1	yes	characteristic
307	#2490	C₂²	1	1	yes	characteristic
308	#2489	C₂²	1	1	yes	characteristic
309	#2487	C₂²	1	1	yes	characteristic
310	#2485	C₂²	1	1	yes	characteristic
311	#2477	C₂²	1	2	yes	—
312	#2477	C₂²	1	2	yes	—
313	#2477	C₂²	1	2	yes	—
314	#2477	C₂²	1	2	yes	—
315	#2473	C₂²	1	2	yes	—
316	#2473	C₂²	1	2	yes	—
317	#2469	C₂²	1	2	yes	—
318	#2466	C₂²	1	2	yes	—
319	#2465	C₂²	1	2	yes	—
320	#2465	C₂²	1	2	yes	—
321	#2465	C₂²	1	2	yes	—
322	#2465	C₂²	1	2	yes	—
323	#2465	C₂²	1	2	yes	—
324	#2465	C₂²	1	2	yes	—
325	#2465	C₂²	1	2	yes	—
326	#2465	C₂²	1	2	yes	—
327	#2465	C₂²	1	2	yes	—
328	#2464	C₂²	1	2	yes	—
329	#2462	C₂²	1	2	yes	—
330	#2462	C₂²	1	2	yes	—
331	#2461	C₂²	1	2	yes	—
332	#2459	C₂²	1	2	yes	—
333	#2458	C₂²	1	2	yes	—
334	#2454	C₂²	1	1	yes	characteristic
335	#2454	C₂²	1	1	yes	characteristic
336	#2454	C₂²	1	1	yes	characteristic
337	#2454	C₂²	1	1	yes	characteristic
338	#2452	C₂²	1	1	yes	characteristic
339	#2452	C₂²	1	1	yes	characteristic
340	#2452	C₂²	1	1	yes	characteristic
341	#2452	C₂²	1	1	yes	characteristic
342	#2452	C₂²	1	1	yes	characteristic
343	#2452	C₂²	1	1	yes	characteristic
344	#2452	C₂²	1	1	yes	characteristic
345	#2452	C₂²	1	1	yes	characteristic
346	#2451	C₂²	1	1	yes	characteristic
347	#2451	C₂²	1	1	yes	characteristic
348	#2451	C₂²	1	2	yes	—
349	#2451	C₂²	1	1	yes	characteristic
350	#2451	C₂²	1	1	yes	characteristic
351	#2451	C₂²	1	2	yes	—
352	#2451	C₂²	1	2	yes	—
353	#2451	C₂²	1	2	yes	—
354	#2449	C₂²	1	2	yes	—
355	#2449	C₂²	1	2	yes	—
356	#2448	C₂²	1	1	yes	characteristic
357	#2448	C₂²	1	1	yes	characteristic
358	#2448	C₂²	1	1	yes	characteristic
359	#2448	C₂²	1	1	yes	characteristic
360	#2447	C₂²	1	1	yes	characteristic
361	#2447	C₂²	1	1	yes	characteristic
362	#2446	C₂²	1	2	yes	—
363	#2445	C₂²	1	1	yes	characteristic
364	#2445	C₂²	1	1	yes	characteristic
365	#2442	C₂²	1	1	yes	characteristic
366	#2442	C₂²	1	1	yes	characteristic
367	#2441	C₂²	1	1	yes	characteristic
368	#2440	C₂²	1	1	yes	characteristic
369	#2440	C₂²	1	1	yes	characteristic
370	#2439	C₂²	1	1	yes	characteristic
371	#2439	C₂²	1	1	yes	characteristic
372	#2439	C₂²	1	2	yes	—
373	#2439	C₂²	1	2	yes	—
374	#2439	C₂²	1	1	yes	characteristic
375	#2436	C₂²	1	2	yes	—
376	#2434	C₂²	1	2	yes	—
377	#2434	C₂²	1	2	yes	—
378	#2429	C₂²	1	2	yes	—
379	#2428	C₂²	1	1	yes	characteristic
380	#2428	C₂²	1	1	yes	characteristic
381	#2427	C₂²	1	1	yes	characteristic
382	#2427	C₂²	1	2	yes	—
383	#2427	C₂²	1	2	yes	—
384	#2427	C₂²	1	1	yes	characteristic
385	#2423	C₂²	1	2	yes	—
386	#2421	C₂²	1	2	yes	—
387	#2421	C₂²	1	2	yes	—
388	#2409	C₂²	1	2	yes	—
389	#2409	C₂²	1	2	yes	—
390	#2409	C₂²	1	2	yes	—
391	#2409	C₂²	1	2	yes	—
392	#2401	C₂²	1	1	yes	characteristic
393	#2401	C₂²	1	1	yes	characteristic
394	#2401	C₂²	1	1	yes	characteristic
395	#2401	C₂²	1	1	yes	characteristic
396	#2399	C₂²	1	1	yes	characteristic
397	#2399	C₂²	1	1	yes	characteristic
398	#2383	C₂²	1	2	yes	—
399	#2378	C₂²	1	2	yes	—
400	#2378	C₂²	1	2	yes	—
401	#2370	C₂²	1	1	yes	characteristic
402	#2370	C₂²	1	1	yes	characteristic
403	#2370	C₂²	1	1	yes	characteristic
404	#2369	C₂²	1	1	yes	characteristic
405	#2369	C₂²	1	1	yes	characteristic
406	#2369	C₂²	1	1	yes	characteristic
407	#2367	C₂²	1	2	yes	—
408	#2367	C₂²	1	2	yes	—
409	#2365	C₂²	1	1	yes	characteristic
410	#2365	C₂²	1	2	yes	—
411	#2365	C₂²	1	1	yes	characteristic
412	#2365	C₂²	1	1	yes	characteristic
413	#2365	C₂²	1	1	yes	characteristic
414	#2365	C₂²	1	1	yes	characteristic
415	#2365	C₂²	1	1	yes	characteristic
416	#2363	C₂²	1	1	yes	characteristic
417	#2363	C₂²	1	1	yes	characteristic
418	#2362	C₂²	1	1	yes	characteristic
419	#2362	C₂²	1	1	yes	characteristic
420	#2361	C₂²	1	1	yes	characteristic
421	#2361	C₂²	1	1	yes	characteristic
422	#2360	C₂²	1	1	yes	characteristic
423	#2360	C₂²	1	1	yes	characteristic
424	#2357	C₂²	1	1	yes	characteristic
425	#2357	C₂²	1	1	yes	characteristic
426	#2354	C₂²	1	1	yes	characteristic
427	#2354	C₂²	1	1	yes	characteristic
428	#2346	C₂²	1	1	yes	characteristic
429	#2345	C₂²	1	1	yes	characteristic
430	Q₈×C₂²⋊C₄	C₂²	1	2	yes	—
431	Q₈×C₂²⋊C₄	C₂²	1	2	yes	—
432	#2337	C₂²	1	2	yes	—
433	#2335	C₂²	1	2	yes	—
434	#2331	C₂²	1	1	yes	characteristic
435	#2331	C₂²	1	1	yes	characteristic
436	#2331	C₂²	1	1	yes	characteristic
437	#2330	C₂²	1	1	yes	characteristic
438	#2326	C₂²	1	2	yes	—
439	#2322	C₂²	1	2	yes	—
440	#2320	C₂²	1	1	yes	characteristic
441	#2319	C₂²	1	1	yes	characteristic
442	#2314	C₂²	1	2	yes	—
443	C₄×#125	C₂²	1	1	yes	characteristic
444	C₄×#125	C₂²	1	1	yes	characteristic
445	C₄×#124	C₂²	1	1	yes	characteristic
446	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
447	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
448	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
449	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
450	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
451	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
452	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
453	C₄×#123	C₂²	1	1	yes	characteristic
454	C₄×#123	C₂²	1	1	yes	characteristic
455	C₄×#121	C₂²	1	1	yes	characteristic
456	C₄×#121	C₂²	1	2	yes	—
457	C₄×#121	C₂²	1	1	yes	characteristic
458	C₄²×D₄	C₂²	1	1	yes	characteristic
459	C₂³×Q₈	C₂³	1	2	yes	—
460	C₂³×Q₈	C₂³	1	2	yes	—
461	#559	—	4	4	no	—
462	#557	—	4	4	no	—
463	#553	—	4	4	no	—
464	D₄×Q₈	—	4	4	no	—
465	D₄×Q₈	—	4	8	no	—
466	#542	—	4	8	no	—
467	#533	—	4	8	no	—
468	#533	—	4	4	no	—
469	C₂×C₄⋊Q₈	—	4	4	no	—
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×C₄⋊Q₈	C₂³	1	2	yes	—
476	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
477	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
478	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
479	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
480	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
481	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
482	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
483	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
484	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
485	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
486	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
487	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
488	C₂×#127	C₂³	1	1	yes	characteristic
489	C₂×#126	C₂³	1	2	yes	—
490	C₂×#126	C₂³	1	2	yes	—
491	C₂×#126	C₂³	1	2	yes	—
492	C₂×#126	C₂³	1	2	yes	—
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	2	yes	—
498	C₂×#125	C₂³	1	1	yes	characteristic
499	C₂×#125	C₂³	1	1	yes	characteristic
500	C₂×#125	C₂³	1	1	yes	characteristic
501	C₂×#125	C₂³	1	2	yes	—
502	C₂×#125	C₂³	1	2	yes	—
503	C₂×#124	C₂³	1	2	yes	—
504	C₂×#124	C₂³	1	2	yes	—
505	C₂×#124	C₂³	1	2	yes	—
506	C₂×#124	C₂³	1	1	yes	characteristic
507	C₂×#124	C₂³	1	2	yes	—
508	C₂×#124	C₂³	1	1	yes	characteristic
509	C₂×#124	C₂³	1	2	yes	—
510	C₂×#124	C₂³	1	2	yes	—
511	C₂×#124	C₂³	1	2	yes	—
512	C₂×#124	C₂³	1	2	yes	—
513	C₂×#124	C₂³	1	1	yes	characteristic
514	C₂×#123	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	1	yes	characteristic
522	C₂×#123	C₂³	1	1	yes	characteristic
523	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
526	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
529	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
530	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
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×C₂²⋊Q₈	C₂³	1	2	yes	—
538	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
539	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
540	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
541	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
542	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
543	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
544	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
545	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
546	C₂×#121	C₂³	1	1	yes	characteristic
547	C₂×#121	C₂³	1	1	yes	characteristic
548	C₂×#121	C₂³	1	2	yes	—
549	C₂×#121	C₂³	1	1	yes	characteristic
550	C₂×#121	C₂³	1	1	yes	characteristic
551	C₂×#121	C₂³	1	2	yes	—
552	C₂×#121	C₂³	1	2	yes	—
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	2	yes	—
557	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
558	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
559	C₂×C₄×Q₈	C₂³	1	2	yes	—
560	C₂×C₄×Q₈	C₂³	1	2	yes	—
561	C₂×C₄×Q₈	C₂³	1	2	yes	—
562	C₂×C₄×Q₈	C₂³	1	2	yes	—
563	C₂×C₄×Q₈	C₂³	1	2	yes	—
564	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
565	C₂×C₄×Q₈	C₂³	1	2	yes	—
566	C₂×C₄×Q₈	C₂³	1	2	yes	—
567	C₂×C₄×Q₈	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
579	C₂×C₄×D₄	C₂³	1	2	yes	—
580	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
581	C₂×#117	C₂³	1	2	yes	—
582	C₂×#117	C₂³	1	1	yes	characteristic
583	C₂×#117	C₂³	1	2	yes	—
584	C₂×#117	C₂³	1	1	yes	characteristic
585	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
586	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
587	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
588	C₂²×C₄²	C₂³	1	2	yes	—
589	C₂²×C₄²	C₂³	1	1	yes	characteristic
590	C₂²×C₄²	C₂³	1	1	yes	characteristic
591	#401	C₂³	1	2	yes	—
592	#401	C₂³	1	2	yes	—
593	#401	C₂³	1	2	yes	—
594	#401	C₂³	1	1	yes	characteristic
595	#401	C₂³	1	1	yes	characteristic
596	#401	C₂³	1	1	yes	characteristic
597	#401	C₂³	1	1	yes	characteristic
598	#400	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
612	#400	C₂³	1	2	yes	—
613	#400	C₂³	1	1	yes	characteristic
614	#400	C₂³	1	2	yes	—
615	#400	C₂³	1	2	yes	—
616	#400	C₂³	1	1	yes	characteristic
617	#400	C₂³	1	2	yes	—
618	#400	C₂³	1	2	yes	—
619	#400	C₂³	1	1	yes	characteristic
620	#400	C₂³	1	1	yes	characteristic
621	#400	C₂³	1	1	yes	characteristic
622	#400	C₂³	1	2	yes	—
623	#400	C₂³	1	1	yes	characteristic
624	#400	C₂³	1	1	yes	characteristic
625	#400	C₂³	1	1	yes	characteristic
626	#400	C₂³	1	1	yes	characteristic
627	#400	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	#399	C₂³	1	2	yes	—
633	#399	C₂³	1	2	yes	—
634	#399	C₂³	1	2	yes	—
635	#399	C₂³	1	2	yes	—
636	#399	C₂³	1	2	yes	—
637	#399	C₂³	1	2	yes	—
638	#399	C₂³	1	2	yes	—
639	#399	C₂³	1	2	yes	—
640	#399	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	1	yes	characteristic
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	1	yes	characteristic
657	#398	C₂³	1	2	yes	—
658	#398	C₂³	1	2	yes	—
659	#398	C₂³	1	2	yes	—
660	#398	C₂³	1	1	yes	characteristic
661	#398	C₂³	1	2	yes	—
662	#398	C₂³	1	2	yes	—
663	#398	C₂³	1	1	yes	characteristic
664	#398	C₂³	1	2	yes	—
665	#398	C₂³	1	2	yes	—
666	#398	C₂³	1	1	yes	characteristic
667	#398	C₂³	1	1	yes	characteristic
668	#398	C₂³	1	1	yes	characteristic
669	#398	C₂³	1	1	yes	characteristic
670	#398	C₂³	1	2	yes	—
671	#398	C₂³	1	2	yes	—
672	#398	C₂³	1	2	yes	—
673	#398	C₂³	1	2	yes	—
674	#398	C₂³	1	2	yes	—
675	#398	C₂³	1	2	yes	—
676	#397	C₂³	1	2	yes	—
677	#397	C₂³	1	2	yes	—
678	#397	C₂³	1	1	yes	characteristic
679	#397	C₂³	1	2	yes	—
680	#397	C₂³	1	2	yes	—
681	#397	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	1	yes	characteristic
697	#397	C₂³	1	2	yes	—
698	#397	C₂³	1	2	yes	—
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	2	yes	—
707	#397	C₂³	1	1	yes	characteristic
708	#397	C₂³	1	1	yes	characteristic
709	#397	C₂³	1	1	yes	characteristic
710	#397	C₂³	1	1	yes	characteristic
711	#397	C₂³	1	1	yes	characteristic
712	#397	C₂³	1	1	yes	characteristic
713	#397	C₂³	1	1	yes	characteristic
714	#397	C₂³	1	1	yes	characteristic
715	#397	C₂³	1	2	yes	—
716	#397	C₂³	1	2	yes	—
717	#397	C₂³	1	2	yes	—
718	#396	C₂³	1	2	yes	—
719	#396	C₂³	1	2	yes	—
720	#396	C₂³	1	2	yes	—
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	1	yes	characteristic
732	#396	C₂³	1	2	yes	—
733	#396	C₂³	1	2	yes	—
734	#396	C₂³	1	2	yes	—
735	#396	C₂³	1	2	yes	—
736	#396	C₂³	1	1	yes	characteristic
737	#396	C₂³	1	1	yes	characteristic
738	#396	C₂³	1	1	yes	characteristic
739	#395	C₂³	1	1	yes	characteristic
740	#395	C₂³	1	2	yes	—
741	#395	C₂³	1	1	yes	characteristic
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	2	yes	—
759	#395	C₂³	1	1	yes	characteristic
760	#395	C₂³	1	2	yes	—
761	#395	C₂³	1	2	yes	—
762	#395	C₂³	1	2	yes	—
763	#395	C₂³	1	2	yes	—
764	#395	C₂³	1	1	yes	characteristic
765	#395	C₂³	1	1	yes	characteristic
766	#395	C₂³	1	1	yes	characteristic
767	#395	C₂³	1	1	yes	characteristic
768	#395	C₂³	1	1	yes	characteristic
769	#395	C₂³	1	2	yes	—
770	#395	C₂³	1	2	yes	—
771	#395	C₂³	1	2	yes	—
772	#395	C₂³	1	2	yes	—
773	#395	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	2	yes	—
780	#394	C₂³	1	2	yes	—
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	2	yes	—
787	#394	C₂³	1	2	yes	—
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	2	yes	—
793	#394	C₂³	1	2	yes	—
794	#394	C₂³	1	2	yes	—
795	#394	C₂³	1	2	yes	—
796	#394	C₂³	1	2	yes	—
797	#394	C₂³	1	2	yes	—
798	#394	C₂³	1	2	yes	—
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	2	yes	—
811	#393	C₂³	1	2	yes	—
812	#393	C₂³	1	2	yes	—
813	#393	C₂³	1	2	yes	—
814	#393	C₂³	1	2	yes	—
815	#393	C₂³	1	2	yes	—
816	#393	C₂³	1	2	yes	—
817	#393	C₂³	1	2	yes	—
818	#393	C₂³	1	2	yes	—
819	#393	C₂³	1	2	yes	—
820	#393	C₂³	1	2	yes	—
821	#393	C₂³	1	2	yes	—
822	#393	C₂³	1	2	yes	—
823	#393	C₂³	1	2	yes	—
824	#392	C₂³	1	2	yes	—
825	#392	C₂³	1	2	yes	—
826	#392	C₂³	1	2	yes	—
827	#391	C₂³	1	1	yes	characteristic
828	#391	C₂³	1	1	yes	characteristic
829	#391	C₂³	1	2	yes	—
830	#391	C₂³	1	2	yes	—
831	#391	C₂³	1	2	yes	—
832	#391	C₂³	1	2	yes	—
833	#391	C₂³	1	2	yes	—
834	#391	C₂³	1	2	yes	—
835	#391	C₂³	1	2	yes	—
836	#391	C₂³	1	2	yes	—
837	#391	C₂³	1	2	yes	—
838	#391	C₂³	1	1	yes	characteristic
839	#391	C₂³	1	1	yes	characteristic
840	#391	C₂³	1	2	yes	—
841	#391	C₂³	1	2	yes	—
842	#391	C₂³	1	2	yes	—
843	#391	C₂³	1	2	yes	—
844	#391	C₂³	1	1	yes	characteristic
845	#391	C₂³	1	1	yes	characteristic
846	#391	C₂³	1	2	yes	—
847	#391	C₂³	1	2	yes	—
848	#391	C₂³	1	2	yes	—
849	#391	C₂³	1	2	yes	—
850	#391	C₂³	1	2	yes	—
851	#391	C₂³	1	2	yes	—
852	#391	C₂³	1	2	yes	—
853	#391	C₂³	1	2	yes	—
854	#391	C₂³	1	2	yes	—
855	#391	C₂³	1	2	yes	—
856	#391	C₂³	1	2	yes	—
857	#391	C₂³	1	2	yes	—
858	#391	C₂³	1	1	yes	characteristic
859	#391	C₂³	1	1	yes	characteristic
860	#391	C₂³	1	2	yes	—
861	#391	C₂³	1	2	yes	—
862	#391	C₂³	1	1	yes	characteristic
863	#391	C₂³	1	2	yes	—
864	#391	C₂³	1	2	yes	—
865	#391	C₂³	1	2	yes	—
866	#391	C₂³	1	2	yes	—
867	#391	C₂³	1	2	yes	—
868	#391	C₂³	1	2	yes	—
869	#391	C₂³	1	2	yes	—
870	#391	C₂³	1	2	yes	—
871	#391	C₂³	1	2	yes	—
872	#391	C₂³	1	2	yes	—
873	#391	C₂³	1	2	yes	—
874	#391	C₂³	1	2	yes	—
875	#391	C₂³	1	2	yes	—
876	#391	C₂³	1	2	yes	—
877	#391	C₂³	1	2	yes	—
878	#391	C₂³	1	1	yes	characteristic
879	#391	C₂³	1	1	yes	characteristic
880	#391	C₂³	1	1	yes	characteristic
881	#391	C₂³	1	1	yes	characteristic
882	#390	C₂³	1	1	yes	characteristic
883	#390	C₂³	1	1	yes	characteristic
884	#390	C₂³	1	2	yes	—
885	#390	C₂³	1	1	yes	characteristic
886	#390	C₂³	1	1	yes	characteristic
887	#390	C₂³	1	2	yes	—
888	#390	C₂³	1	2	yes	—
889	#390	C₂³	1	2	yes	—
890	#390	C₂³	1	2	yes	—
891	#390	C₂³	1	1	yes	characteristic
892	#390	C₂³	1	1	yes	characteristic
893	#390	C₂³	1	2	yes	—
894	#390	C₂³	1	1	yes	characteristic
895	#390	C₂³	1	1	yes	characteristic
896	#390	C₂³	1	2	yes	—
897	#390	C₂³	1	1	yes	characteristic
898	#390	C₂³	1	1	yes	characteristic
899	#390	C₂³	1	1	yes	characteristic
900	#390	C₂³	1	1	yes	characteristic
901	#390	C₂³	1	1	yes	characteristic
902	#390	C₂³	1	1	yes	characteristic
903	#390	C₂³	1	1	yes	characteristic
904	#390	C₂³	1	1	yes	characteristic
905	#390	C₂³	1	1	yes	characteristic
906	#389	C₂³	1	1	yes	characteristic
907	#389	C₂³	1	1	yes	characteristic
908	#389	C₂³	1	1	yes	characteristic
909	#389	C₂³	1	1	yes	characteristic
910	#389	C₂³	1	2	yes	—
911	#389	C₂³	1	2	yes	—
912	#389	C₂³	1	2	yes	—
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	2	yes	—
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	#389	C₂³	1	2	yes	—
927	#389	C₂³	1	2	yes	—
928	#389	C₂³	1	2	yes	—
929	#389	C₂³	1	2	yes	—
930	#389	C₂³	1	2	yes	—
931	#389	C₂³	1	2	yes	—
932	#389	C₂³	1	2	yes	—
933	#389	C₂³	1	2	yes	—
934	#389	C₂³	1	1	yes	characteristic
935	#389	C₂³	1	1	yes	characteristic
936	#389	C₂³	1	2	yes	—
937	#389	C₂³	1	1	yes	characteristic
938	#389	C₂³	1	1	yes	characteristic
939	#389	C₂³	1	2	yes	—
940	#389	C₂³	1	1	yes	characteristic
941	#389	C₂³	1	2	yes	—
942	#389	C₂³	1	1	yes	characteristic
943	#389	C₂³	1	1	yes	characteristic
944	#389	C₂³	1	1	yes	characteristic
945	#389	C₂³	1	2	yes	—
946	#389	C₂³	1	2	yes	—
947	#389	C₂³	1	2	yes	—
948	#389	C₂³	1	2	yes	—
949	#389	C₂³	1	2	yes	—
950	#389	C₂³	1	2	yes	—
951	#389	C₂³	1	1	yes	characteristic
952	#389	C₂³	1	1	yes	characteristic
953	#389	C₂³	1	2	yes	—
954	#389	C₂³	1	1	yes	characteristic
955	#389	C₂³	1	1	yes	characteristic
956	#389	C₂³	1	2	yes	—
957	#389	C₂³	1	2	yes	—
958	#389	C₂³	1	2	yes	—
959	#389	C₂³	1	1	yes	characteristic
960	#389	C₂³	1	1	yes	characteristic
961	#389	C₂³	1	1	yes	characteristic
962	#389	C₂³	1	1	yes	characteristic
963	#389	C₂³	1	2	yes	—
964	#389	C₂³	1	2	yes	—
965	#389	C₂³	1	2	yes	—
966	#389	C₂³	1	2	yes	—
967	#389	C₂³	1	2	yes	—
968	#389	C₂³	1	2	yes	—
969	#389	C₂³	1	1	yes	characteristic
970	#389	C₂³	1	1	yes	characteristic
971	#389	C₂³	1	1	yes	characteristic
972	#389	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
991	#388	C₂³	1	2	yes	—
992	#388	C₂³	1	2	yes	—
993	#388	C₂³	1	2	yes	—
994	#388	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	#388	C₂³	1	2	yes	—
1009	#388	C₂³	1	2	yes	—
1010	#388	C₂³	1	1	yes	characteristic
1011	#388	C₂³	1	2	yes	—
1012	#388	C₂³	1	2	yes	—
1013	#388	C₂³	1	2	yes	—
1014	#388	C₂³	1	2	yes	—
1015	#388	C₂³	1	2	yes	—
1016	#388	C₂³	1	2	yes	—
1017	#388	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1026	#388	C₂³	1	2	yes	—
1027	#388	C₂³	1	2	yes	—
1028	#388	C₂³	1	2	yes	—
1029	#388	C₂³	1	2	yes	—
1030	#388	C₂³	1	2	yes	—
1031	#388	C₂³	1	1	yes	characteristic
1032	#388	C₂³	1	2	yes	—
1033	#388	C₂³	1	2	yes	—
1034	#388	C₂³	1	2	yes	—
1035	#388	C₂³	1	2	yes	—
1036	#388	C₂³	1	2	yes	—
1037	#388	C₂³	1	2	yes	—
1038	#388	C₂³	1	2	yes	—
1039	#388	C₂³	1	2	yes	—
1040	#388	C₂³	1	2	yes	—
1041	#388	C₂³	1	1	yes	characteristic
1042	#388	C₂³	1	2	yes	—
1043	#388	C₂³	1	2	yes	—
1044	#388	C₂³	1	2	yes	—
1045	#387	C₂³	1	1	yes	characteristic
1046	#387	C₂³	1	1	yes	characteristic
1047	#387	C₂³	1	1	yes	characteristic
1048	#387	C₂³	1	1	yes	characteristic
1049	#387	C₂³	1	1	yes	characteristic
1050	#387	C₂³	1	1	yes	characteristic
1051	#387	C₂³	1	1	yes	characteristic
1052	#387	C₂³	1	1	yes	characteristic
1053	#387	C₂³	1	2	yes	—
1054	#387	C₂³	1	2	yes	—
1055	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
1062	#387	C₂³	1	2	yes	—
1063	#387	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
1102	#387	C₂³	1	2	yes	—
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	2	yes	—
1109	#387	C₂³	1	2	yes	—
1110	#387	C₂³	1	2	yes	—
1111	#387	C₂³	1	2	yes	—
1112	#387	C₂³	1	2	yes	—
1113	#387	C₂³	1	1	yes	characteristic
1114	#387	C₂³	1	2	yes	—
1115	#387	C₂³	1	2	yes	—
1116	#387	C₂³	1	2	yes	—
1117	#387	C₂³	1	1	yes	characteristic
1118	#387	C₂³	1	1	yes	characteristic
1119	#387	C₂³	1	2	yes	—
1120	#387	C₂³	1	1	yes	characteristic
1121	#387	C₂³	1	2	yes	—
1122	#387	C₂³	1	2	yes	—
1123	#387	C₂³	1	1	yes	characteristic
1124	#387	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
1132	#386	C₂³	1	2	yes	—
1133	#386	C₂³	1	2	yes	—
1134	#386	C₂³	1	2	yes	—
1135	#386	C₂³	1	2	yes	—
1136	#386	C₂³	1	2	yes	—
1137	#386	C₂³	1	2	yes	—
1138	#386	C₂³	1	2	yes	—
1139	#386	C₂³	1	2	yes	—
1140	#386	C₂³	1	1	yes	characteristic
1141	#386	C₂³	1	2	yes	—
1142	#386	C₂³	1	2	yes	—
1143	#386	C₂³	1	2	yes	—
1144	#385	C₂³	1	2	yes	—
1145	#385	C₂³	1	2	yes	—
1146	#385	C₂³	1	2	yes	—
1147	#385	C₂³	1	2	yes	—
1148	#385	C₂³	1	1	yes	characteristic
1149	#385	C₂³	1	2	yes	—
1150	#385	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
1163	#385	C₂³	1	2	yes	—
1164	#385	C₂³	1	2	yes	—
1165	#385	C₂³	1	2	yes	—
1166	#385	C₂³	1	2	yes	—
1167	#385	C₂³	1	2	yes	—
1168	#385	C₂³	1	1	yes	characteristic
1169	#385	C₂³	1	2	yes	—
1170	#385	C₂³	1	2	yes	—
1171	#385	C₂³	1	1	yes	characteristic
1172	#385	C₂³	1	2	yes	—
1173	#385	C₂³	1	1	yes	characteristic
1174	#385	C₂³	1	1	yes	characteristic
1175	#385	C₂³	1	1	yes	characteristic
1176	#385	C₂³	1	1	yes	characteristic
1177	#385	C₂³	1	2	yes	—
1178	#385	C₂³	1	1	yes	characteristic
1179	#384	C₂³	1	1	yes	characteristic
1180	#384	C₂³	1	2	yes	—
1181	#384	C₂³	1	2	yes	—
1182	#384	C₂³	1	2	yes	—
1183	#384	C₂³	1	1	yes	characteristic
1184	#384	C₂³	1	1	yes	characteristic
1185	#383	C₂³	1	2	yes	—
1186	#383	C₂³	1	2	yes	—
1187	#383	C₂³	1	2	yes	—
1188	#383	C₂³	1	2	yes	—
1189	#382	C₂³	1	1	yes	characteristic
1190	#382	C₂³	1	1	yes	characteristic
1191	#382	C₂³	1	1	yes	characteristic
1192	#382	C₂³	1	1	yes	characteristic
1193	#382	C₂³	1	2	yes	—
1194	#382	C₂³	1	1	yes	characteristic
1195	#382	C₂³	1	1	yes	characteristic
1196	#382	C₂³	1	2	yes	—
1197	#382	C₂³	1	2	yes	—
1198	#382	C₂³	1	2	yes	—
1199	#382	C₂³	1	1	yes	characteristic
1200	#382	C₂³	1	1	yes	characteristic
1201	#381	C₂³	1	2	yes	—
1202	#381	C₂³	1	2	yes	—
1203	#381	C₂³	1	1	yes	characteristic
1204	#381	C₂³	1	2	yes	—
1205	#381	C₂³	1	2	yes	—
1206	#381	C₂³	1	2	yes	—
1207	#381	C₂³	1	1	yes	characteristic
1208	#380	C₂³	1	2	yes	—
1209	#380	C₂³	1	2	yes	—
1210	#380	C₂³	1	2	yes	—
1211	#380	C₂³	1	2	yes	—
1212	#380	C₂³	1	2	yes	—
1213	#380	C₂³	1	2	yes	—
1214	#380	C₂³	1	2	yes	—
1215	#380	C₂³	1	2	yes	—
1216	#380	C₂³	1	2	yes	—
1217	#380	C₂³	1	1	yes	characteristic
1218	#380	C₂³	1	2	yes	—
1219	#380	C₂³	1	2	yes	—
1220	#380	C₂³	1	2	yes	—
1221	#380	C₂³	1	1	yes	characteristic
1222	#380	C₂³	1	1	yes	characteristic
1223	#380	C₂³	1	2	yes	—
1224	#380	C₂³	1	1	yes	characteristic
1225	#380	C₂³	1	1	yes	characteristic
1226	#380	C₂³	1	2	yes	—
1227	#380	C₂³	1	1	yes	characteristic
1228	#380	C₂³	1	1	yes	characteristic
1229	#380	C₂³	1	1	yes	characteristic
1230	#380	C₂³	1	1	yes	characteristic
1231	#380	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	2	yes	—
1245	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1246	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1247	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1248	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1249	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1250	C₄×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
1257	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1258	C₄×C₄⋊C₄	C₂³	1	2	yes	—
1259	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1260	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
1270	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1271	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1272	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1273	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1274	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
1275	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1276	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1277	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1278	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1279	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1280	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1281	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1282	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1283	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1284	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1285	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1286	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1287	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1288	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1289	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1290	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1291	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1292	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1293	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1294	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1295	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1296	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1297	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
1298	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
1299	#376	C₂³	1	1	yes	characteristic
1300	#376	C₂³	1	1	yes	characteristic
1301	#376	C₂³	1	2	yes	—
1302	C₄³	C₂³	1	1	yes	characteristic
1303	C₂²×Q₈	—	4	4	no	—
1304	C₂²×Q₈	—	4	4	no	—
1305	C₂²×Q₈	—	4	4	no	—
1306	C₂²×Q₈	—	4	4	no	—
1307	C₂²×Q₈	—	4	4	no	—
1308	C₂²×Q₈	—	4	4	no	—
1309	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1310	C₂²×Q₈	C₂⁴	1	2	yes	—
1311	C₂²×Q₈	C₂⁴	1	2	yes	—
1312	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1313	C₂²×Q₈	C₂⁴	1	2	yes	—
1314	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1315	C₂²×Q₈	C₂⁴	1	2	yes	—
1316	C₂²×Q₈	C₂⁴	1	2	yes	—
1317	C₂²×Q₈	C₂⁴	1	2	yes	—
1318	C₂²×Q₈	C₂⁴	1	2	yes	—
1319	C₂²×Q₈	C₂⁴	1	2	yes	—
1320	C₂²×Q₈	C₂⁴	1	2	yes	—
1321	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
1322	C₂²×Q₈	C₂⁴	1	2	yes	—
1323	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1324	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1325	C₂²×D₄	C₂⁴	1	2	yes	—
1326	C₂²×D₄	C₂⁴	1	2	yes	—
1327	C₂²×D₄	C₂⁴	1	1	yes	characteristic
1328	C₂²×D₄	C₂⁴	1	2	yes	—
1329	C₂²×D₄	C₂⁴	1	2	yes	—
1330	C₂²×D₄	C₂⁴	1	2	yes	—
1331	C₂²×D₄	C₂⁴	1	2	yes	—
1332	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1333	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1334	C₂³×C₄	C₂⁴	1	2	yes	—
1335	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1336	C₂³×C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1341	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1342	C₂³×C₄	C₂⁴	1	2	yes	—
1343	C₂³×C₄	C₂⁴	1	2	yes	—
1344	C₂³×C₄	C₂⁴	1	2	yes	—
1345	C₂³×C₄	C₂⁴	1	1	yes	characteristic
1346	C₄⋊Q₈	—	2	4	no	—
1347	C₄⋊Q₈	—	2	4	no	—
1348	C₄⋊Q₈	—	2	4	no	—
1349	C₄⋊Q₈	—	2	8	no	—
1350	C₄⋊Q₈	—	2	4	no	—
1351	C₄⋊Q₈	—	2	4	no	—
1352	C₄⋊Q₈	—	2	4	no	—
1353	C₄⋊Q₈	—	4	2	no	—
1354	C₄⋊Q₈	—	4	2	no	—
1355	C₄⋊Q₈	—	4	2	no	—
1356	C₄⋊Q₈	—	4	4	no	—
1357	C₄⋊Q₈	—	4	2	no	—
1358	C₄⋊Q₈	—	4	4	no	—
1359	C₄⋊Q₈	—	4	4	no	—
1360	C₄⋊Q₈	—	4	4	no	—
1361	C₄⋊Q₈	—	4	4	no	—
1362	C₄⋊Q₈	—	4	4	no	—
1363	C₄⋊Q₈	—	4	4	no	—
1364	#127	—	4	2	no	—
1365	#126	—	4	4	no	—
1366	#126	—	4	4	no	—
1367	#126	—	4	4	no	—
1368	#126	—	4	4	no	—
1369	#125	—	2	4	no	—
1370	#125	—	2	4	no	—
1371	#125	—	2	4	no	—
1372	#125	—	4	4	no	—
1373	#125	—	4	2	no	—
1374	#125	—	4	2	no	—
1375	#125	—	4	4	no	—
1376	#125	—	4	2	no	—
1377	#125	—	4	2	no	—
1378	#125	—	4	4	no	—
1379	#124	—	4	4	no	—
1380	#124	—	4	4	no	—
1381	#124	—	4	2	no	—
1382	#124	—	4	2	no	—
1383	#124	—	4	2	no	—
1384	#124	—	4	4	no	—
1385	#124	—	4	4	no	—
1386	#124	—	4	4	no	—
1387	#124	—	4	4	no	—
1388	#124	—	4	4	no	—
1389	#124	—	4	4	no	—
1390	#123	—	4	2	no	—
1391	#123	—	4	4	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	—	4	2	no	—
1398	#123	—	4	4	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	—	4	4	no	—
1405	C₂²⋊Q₈	—	4	4	no	—
1406	C₂²⋊Q₈	—	4	4	no	—
1407	C₂²⋊Q₈	—	4	4	no	—
1408	C₂²⋊Q₈	—	4	4	no	—
1409	C₂²⋊Q₈	—	4	4	no	—
1410	C₂²⋊Q₈	—	4	2	no	—
1411	C₂²⋊Q₈	—	4	4	no	—
1412	C₂²⋊Q₈	—	4	4	no	—
1413	C₂²⋊Q₈	—	4	4	no	—
1414	C₂²⋊Q₈	—	4	4	no	—
1415	C₂²⋊Q₈	—	4	4	no	—
1416	C₂²⋊Q₈	—	4	4	no	—
1417	C₂²⋊Q₈	—	4	4	no	—
1418	C₂²⋊Q₈	—	4	2	no	—
1419	C₂²⋊Q₈	—	4	4	no	—
1420	C₂²⋊Q₈	—	4	4	no	—
1421	C₂²⋊Q₈	—	4	4	no	—
1422	#121	—	2	4	no	—
1423	#121	—	2	4	no	—
1424	#121	—	4	4	no	—
1425	#121	—	4	4	no	—
1426	#121	—	4	4	no	—
1427	#121	—	4	2	no	—
1428	#121	—	4	2	no	—
1429	C₄×Q₈	—	2	4	no	—
1430	C₄×Q₈	—	4	2	no	—
1431	C₄×Q₈	—	4	2	no	—
1432	C₄×Q₈	—	4	2	no	—
1433	C₄×Q₈	—	4	4	no	—
1434	C₄×Q₈	—	4	4	no	—
1435	C₄×Q₈	—	4	4	no	—
1436	C₄×Q₈	—	4	4	no	—
1437	C₄×Q₈	—	4	4	no	—
1438	C₄×Q₈	—	4	4	no	—
1439	C₄×Q₈	—	4	4	no	—
1440	C₄×Q₈	—	4	4	no	—
1441	C₄×Q₈	—	4	2	no	—
1442	C₄×Q₈	—	4	2	no	—
1443	C₄×Q₈	—	4	4	no	—
1444	C₄×D₄	—	2	4	no	—
1445	C₄×D₄	—	2	4	no	—
1446	C₄×D₄	—	2	4	no	—
1447	C₄×D₄	—	2	4	no	—
1448	C₄×D₄	—	4	4	no	—
1449	C₄×D₄	—	4	2	no	—
1450	C₄×D₄	—	4	2	no	—
1451	C₄×D₄	—	4	4	no	—
1452	C₄×D₄	—	4	4	no	—
1453	C₄×D₄	—	4	2	no	—
1454	C₄×D₄	—	4	4	no	—
1455	C₄×D₄	—	4	4	no	—
1456	C₄×D₄	—	4	4	no	—
1457	#117	—	2	8	no	—
1458	#117	—	2	4	no	—
1459	#117	—	4	4	no	—
1460	#117	—	4	2	no	—
1461	C₂×C₄⋊C₄	—	2	4	no	—
1462	C₂×C₄⋊C₄	—	4	2	no	—
1463	C₂×C₄⋊C₄	—	4	4	no	—
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	2	yes	—
1468	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
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	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	1	yes	characteristic
1494	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1495	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1496	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1497	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1502	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1503	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	1	yes	characteristic
1514	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1515	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1516	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1517	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1518	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1519	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1520	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1531	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1532	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1533	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	2	yes	—
1548	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1549	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1550	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1551	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1552	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1553	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1554	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1559	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1560	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1561	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1566	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1567	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1573	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1586	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1587	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1594	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1595	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1596	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1597	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1598	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1599	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1600	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1601	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1602	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1603	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1604	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1605	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
1625	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1626	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1627	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	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	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	1	yes	characteristic
1644	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1645	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1652	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1653	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1654	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
1659	C₂×C₄²	—	4	4	no	—
1660	C₂×C₄²	—	4	2	no	—
1661	C₂×C₄²	C₂⁴	1	2	yes	—
1662	C₂×C₄²	C₂⁴	1	2	yes	—
1663	C₂×C₄²	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1669	C₂×C₄²	C₂⁴	1	2	yes	—
1670	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1680	C₂×C₄²	C₂⁴	1	2	yes	—
1681	C₂×C₄²	C₂⁴	1	2	yes	—
1682	C₂×C₄²	C₂⁴	1	2	yes	—
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	2	yes	—
1687	C₂×C₄²	C₂⁴	1	2	yes	—
1688	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1689	C₂×C₄²	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1694	C₂×C₄²	C₂⁴	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
1704	#95	C₂⁴	1	1	yes	characteristic
1705	#95	C₂⁴	1	1	yes	characteristic
1706	#95	C₂⁴	1	2	yes	—
1707	#95	C₂⁴	1	1	yes	characteristic
1708	#95	C₂⁴	1	2	yes	—
1709	#95	C₂⁴	1	1	yes	characteristic
1710	#95	C₂⁴	1	1	yes	characteristic
1711	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1720	#95	C₂⁴	1	2	yes	—
1721	#95	C₂⁴	1	2	yes	—
1722	#95	C₂⁴	1	2	yes	—
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	2	yes	—
1728	#95	C₂⁴	1	1	yes	characteristic
1729	#95	C₂⁴	1	2	yes	—
1730	#95	C₂⁴	1	2	yes	—
1731	#95	C₂⁴	1	2	yes	—
1732	#95	C₂⁴	1	2	yes	—
1733	#95	C₂⁴	1	2	yes	—
1734	#95	C₂⁴	1	2	yes	—
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	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	2	yes	—
1746	#95	C₂⁴	1	2	yes	—
1747	#95	C₂⁴	1	2	yes	—
1748	#95	C₂⁴	1	2	yes	—
1749	#95	C₂⁴	1	1	yes	characteristic
1750	#95	C₂⁴	1	2	yes	—
1751	#95	C₂⁴	1	2	yes	—
1752	#95	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1759	#95	C₂⁴	1	1	yes	characteristic
1760	#95	C₂⁴	1	1	yes	characteristic
1761	#95	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1767	#95	C₂⁴	1	2	yes	—
1768	#95	C₂⁴	1	2	yes	—
1769	#95	C₂⁴	1	1	yes	characteristic
1770	#95	C₂⁴	1	2	yes	—
1771	#95	C₂⁴	1	1	yes	characteristic
1772	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1781	#95	C₂⁴	1	1	yes	characteristic
1782	#95	C₂⁴	1	1	yes	characteristic
1783	#95	C₂⁴	1	1	yes	characteristic
1784	#95	C₂⁴	1	1	yes	characteristic
1785	#95	C₂⁴	1	1	yes	characteristic
1786	#95	C₂⁴	1	2	yes	—
1787	#95	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1793	#95	C₂⁴	1	2	yes	—
1794	#95	C₂⁴	1	1	yes	characteristic
1795	#95	C₂⁴	1	1	yes	characteristic
1796	#95	C₂⁴	1	1	yes	characteristic
1797	#95	C₂⁴	1	2	yes	—
1798	#95	C₂⁴	1	2	yes	—
1799	#95	C₂⁴	1	1	yes	characteristic
1800	#95	C₂⁴	1	1	yes	characteristic
1801	#95	C₂⁴	1	1	yes	characteristic
1802	#95	C₂⁴	1	1	yes	characteristic
1803	#95	C₂⁴	1	2	yes	—
1804	#95	C₂⁴	1	1	yes	characteristic
1805	#95	C₂⁴	1	2	yes	—
1806	#95	C₂⁴	1	1	yes	characteristic
1807	#95	C₂⁴	1	2	yes	—
1808	#95	C₂⁴	1	1	yes	characteristic
1809	#95	C₂⁴	1	1	yes	characteristic
1810	#95	C₂⁴	1	2	yes	—
1811	#95	C₂⁴	1	2	yes	—
1812	#95	C₂⁴	1	1	yes	characteristic
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	#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	C₂⁴	C₂⁵	1	2	yes	—
1842	C₂⁴	C₂⁵	1	1	yes	characteristic
1843	C₂⁴	C₂⁵	1	2	yes	—
1844	C₂⁴	C₂⁵	1	1	yes	characteristic
1845	C₂×Q₈	—	2	2	no	—
1846	C₂×Q₈	—	2	4	no	—
1847	C₂×Q₈	—	2	4	no	—
1848	C₂×Q₈	—	2	4	no	—
1849	C₂×Q₈	—	2	4	no	—
1850	C₂×Q₈	—	2	2	no	—
1851	C₂×Q₈	—	2	4	no	—
1852	C₂×Q₈	—	2	2	no	—
1853	C₂×Q₈	—	2	4	no	—
1854	C₂×Q₈	—	2	2	no	—
1855	C₂×Q₈	—	2	2	no	—
1856	C₂×Q₈	—	2	4	no	—
1857	C₂×Q₈	—	2	4	no	—
1858	C₂×Q₈	—	2	4	no	—
1859	C₂×Q₈	—	2	2	no	—
1860	C₂×Q₈	—	2	4	no	—
1861	C₂×Q₈	—	2	4	no	—
1862	C₂×Q₈	—	4	1	no	—
1863	C₂×Q₈	—	4	2	no	—
1864	C₂×Q₈	—	4	2	no	—
1865	C₂×Q₈	—	4	2	no	—
1866	C₂×Q₈	—	4	2	no	—
1867	C₂×Q₈	—	4	2	no	—
1868	C₂×Q₈	—	4	2	no	—
1869	C₂×Q₈	—	4	2	no	—
1870	C₂×Q₈	—	4	1	no	—
1871	C₂×Q₈	—	4	1	no	—
1872	C₂×Q₈	—	4	2	no	—
1873	C₂×Q₈	—	4	2	no	—
1874	C₂×Q₈	—	4	2	no	—
1875	C₂×Q₈	—	4	1	no	—
1876	C₂×Q₈	—	4	2	no	—
1877	C₂×Q₈	—	4	2	no	—
1878	C₂×Q₈	—	4	1	no	—
1879	C₂×Q₈	—	4	2	no	—
1880	C₂×Q₈	—	4	2	no	—
1881	C₂×Q₈	—	4	2	no	—
1882	C₂×Q₈	—	4	2	no	—
1883	C₂×Q₈	—	4	2	no	—
1884	C₂×Q₈	—	4	2	no	—
1885	C₂×Q₈	—	4	2	no	—
1886	C₂×Q₈	—	4	1	no	—
1887	C₂×Q₈	—	8	16	no	—
1888	C₂×Q₈	—	8	16	no	—
1889	C₂×D₄	—	2	4	no	—
1890	C₂×D₄	—	2	4	no	—
1891	C₂×D₄	—	2	2	no	—
1892	C₂×D₄	—	2	2	no	—
1893	C₂×D₄	—	2	2	no	—
1894	C₂×D₄	—	2	2	no	—
1895	C₂×D₄	—	2	2	no	—
1896	C₂×D₄	—	2	4	no	—
1897	C₂×D₄	—	2	2	no	—
1898	C₂×D₄	—	2	2	no	—
1899	C₂×D₄	—	2	4	no	—
1900	C₂×D₄	—	4	2	no	—
1901	C₂×D₄	—	4	1	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	1	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	C₂×D₄	—	4	2	no	—
1916	C₂²×C₄	—	2	2	no	—
1917	C₂²×C₄	—	2	2	no	—
1918	C₂²×C₄	—	2	2	no	—
1919	C₂²×C₄	—	2	4	no	—
1920	C₂²×C₄	—	2	2	no	—
1921	C₂²×C₄	—	2	4	no	—
1922	C₂²×C₄	—	2	2	no	—
1923	C₂²×C₄	—	2	2	no	—
1924	C₂²×C₄	—	2	2	no	—
1925	C₂²×C₄	—	2	2	no	—
1926	C₂²×C₄	—	2	2	no	—
1927	C₂²×C₄	—	2	4	no	—
1928	C₂²×C₄	—	2	4	no	—
1929	C₂²×C₄	—	2	4	no	—
1930	C₂²×C₄	—	2	2	no	—
1931	C₂²×C₄	—	2	4	no	—
1932	C₂²×C₄	—	2	4	no	—
1933	C₂²×C₄	—	2	4	no	—
1934	C₂²×C₄	—	4	1	no	—
1935	C₂²×C₄	—	4	1	no	—
1936	C₂²×C₄	—	4	2	no	—
1937	C₂²×C₄	—	4	1	no	—
1938	C₂²×C₄	—	4	2	no	—
1939	C₂²×C₄	—	4	2	no	—
1940	C₂²×C₄	—	4	1	no	—
1941	C₂²×C₄	—	4	1	no	—
1942	C₂²×C₄	—	4	2	no	—
1943	C₂²×C₄	—	4	2	no	—
1944	C₂²×C₄	—	4	2	no	—
1945	C₂²×C₄	—	4	2	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	1	no	—
1952	C₂²×C₄	—	4	1	no	—
1953	C₂²×C₄	—	4	1	no	—
1954	C₂²×C₄	—	4	2	no	—
1955	C₂²×C₄	—	4	2	no	—
1956	C₂²×C₄	—	4	2	no	—
1957	C₂²×C₄	—	4	2	no	—
1958	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1959	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1960	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1961	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1962	C₂²×C₄	C₂⁵	1	2	yes	—
1963	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1964	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1965	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1966	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	2	yes	—
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	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1975	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1976	C₂²×C₄	C₂⁵	1	2	yes	—
1977	C₂²×C₄	C₂⁵	1	2	yes	—
1978	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1979	C₂²×C₄	C₂⁵	1	2	yes	—
1980	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1981	C₂²×C₄	C₂⁵	1	2	yes	—
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	1	yes	characteristic
1986	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1987	C₂²×C₄	C₂⁵	1	2	yes	—
1988	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1989	C₂²×C₄	C₂⁵	1	2	yes	—
1990	C₂²×C₄	C₂⁵	1	2	yes	—
1991	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1992	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1993	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1994	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1995	C₂²×C₄	C₂⁵	1	2	yes	—
1996	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1997	C₂²×C₄	C₂⁵	1	2	yes	—
1998	C₂²×C₄	C₂⁵	1	2	yes	—
1999	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2000	C₂²×C₄	C₂⁵	1	1	yes	characteristic
2001	C₄⋊C₄	—	2	2	no	—
2002	C₄⋊C₄	—	2	4	no	—
2003	C₄⋊C₄	—	2	2	no	—
2004	C₄⋊C₄	—	2	2	no	—
2005	C₄⋊C₄	—	2	4	no	—
2006	C₄⋊C₄	—	2	4	no	—
2007	C₄⋊C₄	—	2	2	no	—
2008	C₄⋊C₄	—	2	4	no	—
2009	C₄⋊C₄	—	2	2	no	—
2010	C₄⋊C₄	—	2	2	no	—
2011	C₄⋊C₄	—	2	2	no	—
2012	C₄⋊C₄	—	2	4	no	—
2013	C₄⋊C₄	—	2	4	no	—
2014	C₄⋊C₄	—	2	4	no	—
2015	C₄⋊C₄	—	2	4	no	—
2016	C₄⋊C₄	—	2	2	no	—
2017	C₄⋊C₄	—	2	2	no	—
2018	C₄⋊C₄	—	2	2	no	—
2019	C₄⋊C₄	—	2	2	no	—
2020	C₄⋊C₄	—	2	2	no	—
2021	C₄⋊C₄	—	2	2	no	—
2022	C₄⋊C₄	—	2	4	no	—
2023	C₄⋊C₄	—	2	4	no	—
2024	C₄⋊C₄	—	2	4	no	—
2025	C₄⋊C₄	—	2	4	no	—
2026	C₄⋊C₄	—	2	4	no	—
2027	C₄⋊C₄	—	2	2	no	—
2028	C₄⋊C₄	—	2	2	no	—
2029	C₄⋊C₄	—	2	4	no	—
2030	C₄⋊C₄	—	2	4	no	—
2031	C₄⋊C₄	—	2	4	no	—
2032	C₄⋊C₄	—	2	4	no	—
2033	C₄⋊C₄	—	2	2	no	—
2034	C₄⋊C₄	—	2	4	no	—
2035	C₄⋊C₄	—	2	4	no	—
2036	C₄⋊C₄	—	2	4	no	—
2037	C₄⋊C₄	—	2	2	no	—
2038	C₄⋊C₄	—	2	2	no	—
2039	C₄⋊C₄	—	2	2	no	—
2040	C₄⋊C₄	—	2	2	no	—
2041	C₄⋊C₄	—	2	2	no	—
2042	C₄⋊C₄	—	2	2	no	—
2043	C₄⋊C₄	—	2	2	no	—
2044	C₄⋊C₄	—	4	2	no	—
2045	C₄⋊C₄	—	4	2	no	—
2046	C₄⋊C₄	—	4	2	no	—
2047	C₄⋊C₄	—	4	1	no	—
2048	C₄⋊C₄	—	4	1	no	—
2049	C₄⋊C₄	—	4	2	no	—
2050	C₄⋊C₄	—	4	2	no	—
2051	C₄⋊C₄	—	4	1	no	—
2052	C₄⋊C₄	—	4	1	no	—
2053	C₄⋊C₄	—	4	1	no	—
2054	C₄⋊C₄	—	4	2	no	—
2055	C₄⋊C₄	—	4	1	no	—
2056	C₄⋊C₄	—	4	1	no	—
2057	C₄⋊C₄	—	4	1	no	—
2058	C₄⋊C₄	—	4	1	no	—
2059	C₄⋊C₄	—	4	2	no	—
2060	C₄⋊C₄	—	4	2	no	—
2061	C₄⋊C₄	—	4	1	no	—
2062	C₄⋊C₄	—	4	2	no	—
2063	C₄⋊C₄	—	4	1	no	—
2064	C₄⋊C₄	—	4	2	no	—
2065	C₄⋊C₄	—	4	1	no	—
2066	C₄⋊C₄	—	4	2	no	—
2067	C₄⋊C₄	—	4	1	no	—
2068	C₄⋊C₄	—	4	1	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	1	no	—
2079	C₄⋊C₄	—	4	1	no	—
2080	C₄⋊C₄	—	4	1	no	—
2081	C₄⋊C₄	—	4	2	no	—
2082	C₄⋊C₄	—	4	1	no	—
2083	C₄⋊C₄	—	4	2	no	—
2084	C₄⋊C₄	—	4	2	no	—
2085	C₄⋊C₄	—	4	2	no	—
2086	C₄⋊C₄	—	4	2	no	—
2087	C₄⋊C₄	—	4	1	no	—
2088	C₄⋊C₄	—	4	1	no	—
2089	C₄⋊C₄	—	4	2	no	—
2090	C₄⋊C₄	—	4	1	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	1	no	—
2098	C₄⋊C₄	—	4	1	no	—
2099	C₄⋊C₄	—	4	2	no	—
2100	C₄⋊C₄	—	4	2	no	—
2101	C₄⋊C₄	—	4	2	no	—
2102	C₄⋊C₄	—	4	1	no	—
2103	C₄⋊C₄	—	4	1	no	—
2104	C₄⋊C₄	—	4	2	no	—
2105	C₄⋊C₄	—	4	2	no	—
2106	C₄⋊C₄	—	4	1	no	—
2107	C₄⋊C₄	—	4	1	no	—
2108	C₄⋊C₄	—	4	1	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	H(5,𝔽₂)	1	4	yes	—
2114	C₄⋊C₄	H(5,𝔽₂)	1	4	yes	—
2115	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2116	C₄⋊C₄	2₋¹⁺⁴	1	4	yes	—
2117	C₂²⋊C₄	—	2	2	no	—
2118	C₂²⋊C₄	—	2	2	no	—
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	2	no	—
2124	C₂²⋊C₄	—	2	4	no	—
2125	C₂²⋊C₄	—	2	4	no	—
2126	C₂²⋊C₄	—	2	4	no	—
2127	C₂²⋊C₄	—	2	4	no	—
2128	C₂²⋊C₄	—	2	4	no	—
2129	C₂²⋊C₄	—	2	2	no	—
2130	C₂²⋊C₄	—	2	2	no	—
2131	C₂²⋊C₄	—	2	4	no	—
2132	C₂²⋊C₄	—	2	4	no	—
2133	C₂²⋊C₄	—	2	2	no	—
2134	C₂²⋊C₄	—	2	2	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	—	4	1	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	1	no	—
2150	C₂²⋊C₄	—	4	2	no	—
2151	C₂²⋊C₄	—	4	2	no	—
2152	C₂²⋊C₄	—	4	2	no	—
2153	C₂²⋊C₄	—	4	1	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	1	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	1	no	—
2168	C₂²⋊C₄	—	4	1	no	—
2169	C₂²⋊C₄	—	4	1	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	1	no	—
2175	C₂²⋊C₄	—	4	1	no	—
2176	C₂²⋊C₄	—	4	2	no	—
2177	C₂²⋊C₄	—	4	2	no	—
2178	C₂²⋊C₄	—	4	1	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	1	no	—
2192	C₂²⋊C₄	—	4	2	no	—
2193	C₂²⋊C₄	—	4	2	no	—
2194	C₂²⋊C₄	—	4	1	no	—
2195	C₄²	—	2	2	no	—
2196	C₄²	—	2	4	no	—
2197	C₄²	—	2	2	no	—
2198	C₄²	—	2	2	no	—
2199	C₄²	—	2	2	no	—
2200	C₄²	—	2	2	no	—
2201	C₄²	—	2	4	no	—
2202	C₄²	—	2	4	no	—
2203	C₄²	—	2	4	no	—
2204	C₄²	—	2	2	no	—
2205	C₄²	—	2	2	no	—
2206	C₄²	—	2	4	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	—	4	2	no	—
2215	C₄²	—	4	2	no	—
2216	C₄²	—	4	1	no	—
2217	C₄²	—	4	1	no	—
2218	C₄²	—	4	1	no	—
2219	C₄²	—	4	1	no	—
2220	C₄²	—	4	1	no	—
2221	C₄²	—	4	2	no	—
2222	C₄²	—	4	2	no	—
2223	C₄²	—	4	2	no	—
2224	C₄²	—	4	2	no	—
2225	C₄²	—	4	2	no	—
2226	C₄²	—	4	2	no	—
2227	C₄²	—	4	2	no	—
2228	C₄²	—	4	2	no	—
2229	C₄²	—	4	2	no	—
2230	C₄²	—	4	2	no	—
2231	C₄²	—	4	2	no	—
2232	C₄²	—	4	2	no	—
2233	C₄²	—	4	2	no	—
2234	C₄²	—	4	2	no	—
2235	C₄²	—	4	1	no	—
2236	C₄²	—	4	1	no	—
2237	C₄²	—	4	2	no	—
2238	C₂³	—	2	1	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	2	no	—
2245	C₂³	—	2	1	no	—
2246	C₂³	—	2	2	no	—
2247	C₂³	—	2	1	no	—
2248	C₂³	—	2	2	no	—
2249	C₂³	—	2	2	no	—
2250	C₂³	—	2	1	no	—
2251	C₂³	—	2	2	no	—
2252	C₂³	—	2	2	no	—
2253	C₂³	—	2	2	no	—
2254	C₂³	—	2	2	no	—
2255	C₂³	—	2	1	no	—
2256	C₂³	—	2	2	no	—
2257	C₂³	—	2	1	no	—
2258	C₂³	—	2	1	no	—
2259	C₂³	—	2	2	no	—
2260	C₂³	—	2	2	no	—
2261	C₂³	—	2	2	no	—
2262	C₂³	—	2	2	no	—
2263	C₂³	—	2	2	no	—
2264	C₂³	—	2	1	no	—
2265	C₂³	#585	1	2	yes	—
2266	C₂³	C₂⁶	1	1	yes	characteristic
2267	Q₈	—	4	8	no	—
2268	Q₈	—	4	8	no	—
2269	Q₈	—	4	4	no	—
2270	Q₈	—	4	8	no	—
2271	Q₈	—	4	4	no	—
2272	Q₈	—	8	2	no	—
2273	Q₈	—	8	4	no	—
2274	Q₈	—	8	4	no	—
2275	Q₈	—	8	4	no	—
2276	Q₈	—	8	4	no	—
2277	Q₈	—	8	4	no	—
2278	Q₈	—	8	4	no	—
2279	Q₈	—	8	2	no	—
2280	Q₈	—	8	4	no	—
2281	D₄	—	4	8	no	—
2282	D₄	—	4	4	no	—
2283	D₄	—	4	4	no	—
2284	D₄	—	8	4	no	—
2285	D₄	—	8	2	no	—
2286	D₄	—	8	4	no	—
2287	D₄	—	8	4	no	—
2288	D₄	—	16	2	no	—
2289	D₄	—	16	2	no	—
2290	C₂×C₄	—	2	2	no	—
2291	C₂×C₄	—	2	2	no	—
2292	C₂×C₄	—	2	1	no	—
2293	C₂×C₄	—	2	1	no	—
2294	C₂×C₄	—	2	2	no	—
2295	C₂×C₄	—	2	1	no	—
2296	C₂×C₄	—	2	1	no	—
2297	C₂×C₄	—	2	1	no	—
2298	C₂×C₄	—	2	2	no	—
2299	C₂×C₄	—	2	1	no	—
2300	C₂×C₄	—	2	1	no	—
2301	C₂×C₄	—	2	2	no	—
2302	C₂×C₄	—	2	1	no	—
2303	C₂×C₄	—	2	2	no	—
2304	C₂×C₄	—	2	1	no	—
2305	C₂×C₄	—	2	1	no	—
2306	C₂×C₄	—	2	1	no	—
2307	C₂×C₄	—	2	2	no	—
2308	C₂×C₄	—	2	2	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	2	no	—
2318	C₂×C₄	—	2	2	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	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	2	no	—
2330	C₂×C₄	—	2	2	no	—
2331	C₂×C₄	—	2	2	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	1	no	—
2337	C₂×C₄	—	2	1	no	—
2338	C₂×C₄	—	2	2	no	—
2339	C₂×C₄	—	2	2	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	1	no	—
2353	C₂×C₄	—	2	2	no	—
2354	C₂×C₄	—	2	2	no	—
2355	C₂×C₄	—	2	2	no	—
2356	C₂×C₄	—	2	1	no	—
2357	C₂×C₄	—	2	1	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	1	no	—
2365	C₂×C₄	—	2	1	no	—
2366	C₂×C₄	—	2	2	no	—
2367	C₂×C₄	—	2	1	no	—
2368	C₂×C₄	—	2	1	no	—
2369	C₂×C₄	—	2	2	no	—
2370	C₂×C₄	—	2	2	no	—
2371	C₂×C₄	—	2	1	no	—
2372	C₂×C₄	—	2	1	no	—
2373	C₂×C₄	—	2	1	no	—
2374	C₂×C₄	—	2	2	no	—
2375	C₂×C₄	—	2	2	no	—
2376	C₂×C₄	—	2	1	no	—
2377	C₂×C₄	—	2	1	no	—
2378	C₂×C₄	—	2	1	no	—
2379	C₂×C₄	—	2	1	no	—
2380	C₂×C₄	—	2	2	no	—
2381	C₂×C₄	—	2	1	no	—
2382	C₂×C₄	—	2	1	no	—
2383	C₂×C₄	—	2	1	no	—
2384	C₂×C₄	—	2	1	no	—
2385	C₂×C₄	—	2	1	no	—
2386	C₂×C₄	—	2	2	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	—	2	2	no	—
2392	C₂×C₄	—	2	1	no	—
2393	C₂×C₄	—	2	2	no	—
2394	C₂×C₄	—	2	1	no	—
2395	C₂×C₄	—	2	1	no	—
2396	C₂×C₄	—	2	2	no	—
2397	C₂×C₄	—	2	2	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	1	no	—
2403	C₂×C₄	—	2	2	no	—
2404	C₂×C₄	—	2	1	no	—
2405	C₂×C₄	—	2	1	no	—
2406	C₂×C₄	—	2	1	no	—
2407	C₂×C₄	—	2	1	no	—
2408	C₂×C₄	—	2	1	no	—
2409	C₂×C₄	—	4	8	no	—
2410	C₂×C₄	—	4	4	no	—
2411	C₂×C₄	—	4	4	no	—
2412	C₂×C₄	—	4	4	no	—
2413	C₂×C₄	—	4	4	no	—
2414	C₂×C₄	—	8	4	no	—
2415	C₂×C₄	—	8	2	no	—
2416	C₂×C₄	—	8	4	no	—
2417	C₂×C₄	—	8	4	no	—
2418	C₂×C₄	—	8	4	no	—
2419	C₂×C₄	—	8	4	no	—
2420	C₂×C₄	—	8	4	no	—
2421	C₂×C₄	—	8	2	no	—
2422	C₂×C₄	—	8	4	no	—
2423	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2424	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2425	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
2426	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2427	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
2428	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2429	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
2430	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2431	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
2432	C₂×C₄	#585	1	2	yes	—
2433	C₂²	—	2	2	no	—
2434	C₂²	—	2	2	no	—
2435	C₂²	—	2	2	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	2	no	—
2442	C₂²	—	4	1	no	—
2443	C₂²	—	4	1	no	—
2444	C₂²	—	4	2	no	—
2445	C₂²	—	4	2	no	—
2446	C₂²	—	4	2	no	—
2447	C₂²	—	4	2	no	—
2448	C₂²	—	4	1	no	—
2449	C₂²	—	4	2	no	—
2450	C₂²	—	4	2	no	—
2451	C₂²	—	4	1	no	—
2452	C₂²	—	4	1	no	—
2453	C₂²	—	4	2	no	—
2454	C₂²	—	4	2	no	—
2455	C₂²	—	4	2	no	—
2456	C₂²	—	4	1	no	—
2457	C₂²	—	4	2	no	—
2458	C₂²	—	4	1	no	—
2459	C₂²	—	4	2	no	—
2460	C₂²	—	4	2	no	—
2461	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2462	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
2463	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2464	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
2465	C₂²	C₂×#585	1	1	yes	characteristic
2466	C₂²	C₂×#585	1	1	yes	characteristic
2467	C₂²	2₋¹⁺⁶	1	1	yes	characteristic
2468	C₄	—	2	2	no	—
2469	C₄	—	2	2	no	—
2470	C₄	—	2	2	no	—
2471	C₄	—	2	4	no	—
2472	C₄	—	2	4	no	—
2473	C₄	—	2	2	no	—
2474	C₄	—	2	4	no	—
2475	C₄	—	4	1	no	—
2476	C₄	—	4	1	no	—
2477	C₄	—	4	2	no	—
2478	C₄	—	4	2	no	—
2479	C₄	—	4	2	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	2	no	—
2486	C₄	—	4	1	no	—
2487	C₄	—	4	2	no	—
2488	C₄	—	4	2	no	—
2489	C₄	—	4	1	no	—
2490	C₄	—	4	1	no	—
2491	C₄	—	4	1	no	—
2492	C₄	—	4	1	no	—
2493	C₄	—	4	1	no	—
2494	C₄	—	4	2	no	—
2495	C₄	—	4	1	no	—
2496	C₄	—	4	1	no	—
2497	C₄	—	4	1	no	—
2498	C₄	—	4	1	no	—
2499	C₄	—	4	1	no	—
2500	C₄	—	4	1	no	—
2501	C₄	—	4	2	no	—
2502	C₄	—	4	1	no	—
2503	C₄	—	4	2	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	#3550	1	4	yes	—
2511	C₂	—	4	2	no	—
2512	C₂	—	8	2	no	—
2513	C₂	—	8	1	no	—
2514	C₂	—	8	2	no	—
2515	C₂	C₂×#3550	1	1	yes	characteristic
2516	C₂	#62897	1	1	yes	characteristic
2517	C₂	#62942	1	1	yes	characteristic
2518	C₂	#62953	1	1	yes	characteristic
2519	C₂	#63012	1	1	yes	characteristic
2520	C₂	#63015	1	1	yes	characteristic
2521	C₂	#63033	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#36471	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. #59634	C₂	semidirect
2. #59630	C₂	semidirect
3. #59152	C₂	semidirect
4. #59144	C₂	semidirect
5. #59127	C₂	semidirect
6. #59042	C₂	semidirect
7. #59036	C₂	semidirect
8. #58896	C₂	semidirect
9. #56888	C₂	semidirect
10. #55422	C₂	semidirect
11. #55164	C₂	semidirect
12. #54998	C₂	semidirect
13. #54842	C₂	semidirect
14. #52304	C₂	semidirect
15. #51358	C₂	semidirect
16. #50014	C₂	semidirect
17. #49656	C₂	semidirect
18. #49557	C₂	semidirect
19. #48276	C₂	semidirect
20. #48008	C₂	semidirect
21. #46174	C₂	semidirect
22. #46105	C₂	semidirect
23. #46075	C₂	semidirect
24. #45364	C₂	semidirect
25. #45341	C₂	semidirect
26. #45039	C₂	semidirect
27. #45029	C₂	semidirect
28. #45001	C₂	semidirect
29. #44950	C₂	semidirect
30. #42886	C₂	semidirect
31. #42754	C₂	semidirect
32. #42624	C₂	semidirect
33. #42611	C₂	semidirect
34. #42574	C₂	semidirect
35. #42481	C₂	semidirect
36. #40222	C₂	semidirect
37. #39866	C₂	semidirect
38. #39720	C₂	semidirect
39. #39411	C₂	semidirect
40. #39221	C₂	semidirect
41. #39029	C₂	semidirect
42. #37275	C₂	semidirect
43. #36943	C₂	semidirect
44. #36920	C₂	semidirect
45. #36479	C₂	semidirect
47. #36132	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59634	2
#59630	2
#59152	2
#59144	2
#59127	2
#59042	2
#59036	2
#58896	2
#56888	2
#55422	2
#55164	2
#54998	2
#54842	2
#52304	2
#51358	2
#50014	2
#49656	2
#49557	2
#48276	2
#48008	2
#46174	2
#46105	2
#46075	2
#45364	2
#45341	2
#45039	2
#45029	2
#45001	2
#44950	2
#42886	2
#42754	2
#42624	2
#42611	2
#42574	2
#42481	2
#40222	2
#39866	2
#39720	2
#39411	2
#39221	2
#39029	2
#37275	2
#36943	2
#36920	2
#36479	2
#36471	2
#36132	2