Subgroups — #7712238

Order 512.

4857 conjugacy classes of subgroups.

The subgroup lattice has 1913 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59768	C₂	1	2	yes	maximal, complemented
2	#59593	C₂	1	2	yes	maximal, complemented
3	#59551	C₂	1	2	yes	maximal, complemented
4	#59383	C₂	1	2	yes	maximal, complemented
5	#45667	C₂	1	2	yes	maximal, complemented
6	#45664	C₂	1	2	yes	maximal, complemented
7	#45624	C₂	1	2	yes	maximal, complemented
8	#45618	C₂	1	2	yes	maximal, complemented
9	#40199	C₂	1	2	yes	maximal, complemented
10	#40196	C₂	1	2	yes	maximal, complemented
11	#39911	C₂	1	2	yes	maximal, complemented
12	#39908	C₂	1	2	yes	maximal, complemented
13	#39695	C₂	1	2	yes	maximal, complemented
14	#39564	C₂	1	2	yes	maximal, complemented
15	#39244	C₂	1	2	yes	maximal, complemented
16	#39214	C₂	1	2	yes	maximal, complemented
17	#39007	C₂	1	2	yes	maximal, complemented
18	#38999	C₂	1	2	yes	maximal, complemented
19	#37859	C₂	1	2	yes	maximal, complemented
20	#37844	C₂	1	2	yes	maximal
21	#37509	C₂	1	2	yes	maximal, complemented
22	#37408	C₂	1	2	yes	maximal, complemented
23	#37407	C₂	1	2	yes	maximal, complemented
24	#36625	C₂	1	1	yes	maximal, characteristic, complemented
25	#36625	C₂	1	1	yes	maximal, characteristic, complemented
26	#36210	C₂	1	1	yes	maximal, characteristic, complemented
27	#36209	C₂	1	1	yes	maximal, characteristic, complemented
28	#36194	C₂	1	1	yes	maximal, characteristic, complemented
29	#36188	C₂	1	1	yes	maximal, characteristic, complemented
30	#36151	C₂	1	1	yes	maximal, characteristic, complemented
31	#36151	C₂	1	1	yes	maximal, characteristic, complemented
32	#36129	C₂	1	1	yes	maximal, characteristic, complemented
33	#36129	C₂	1	1	yes	maximal, characteristic, complemented
34	#35297	C₂	1	1	yes	maximal, characteristic, complemented
35	#35291	C₂	1	1	yes	maximal, characteristic, complemented
36	#35283	C₂	1	1	yes	maximal, characteristic, complemented
37	#35279	C₂	1	1	yes	maximal, characteristic, complemented
38	#34463	C₂	1	2	yes	maximal, complemented
39	C₄×#525	C₂	1	1	yes	maximal, characteristic
40	C₂×#556	C₂²	1	2	yes	—
41	C₂×#533	C₂²	1	1	yes	characteristic
42	C₂×#533	C₂²	1	1	yes	characteristic
43	C₂×#533	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×#525	C₂²	1	1	yes	characteristic
46	C₂×C₄×#41	C₂²	1	1	yes	characteristic
47	C₂³×C₄²	C₂²	1	1	yes	characteristic
48	#2868	C₂²	1	1	yes	characteristic, complemented
49	#2862	C₂²	1	1	yes	characteristic, complemented
50	#2862	C₂²	1	1	yes	characteristic, complemented
51	#2859	C₂²	1	1	yes	characteristic, complemented
52	#2857	C₂²	1	1	yes	characteristic
53	#2857	C₂²	1	1	yes	characteristic
54	#2857	C₂²	1	1	yes	characteristic
55	#2857	C₂²	1	1	yes	characteristic
56	#2857	C₂²	1	1	yes	characteristic
57	#2857	C₂²	1	1	yes	characteristic
58	#2857	C₂²	1	1	yes	characteristic
59	#2857	C₂²	1	1	yes	characteristic
60	#2857	C₂²	1	1	yes	characteristic, complemented
61	#2857	C₂²	1	1	yes	characteristic, complemented
62	#2857	C₂²	1	1	yes	characteristic, complemented
63	#2857	C₂²	1	1	yes	characteristic, complemented
64	#2855	C₂²	1	2	yes	—
65	#2855	C₂²	1	2	yes	—
66	#2855	C₂²	1	2	yes	—
67	#2855	C₂²	1	2	yes	—
68	#2851	C₂²	1	2	yes	—
69	#2851	C₂²	1	2	yes	—
70	#2851	C₂²	1	2	yes	—
71	#2851	C₂²	1	2	yes	—
72	#2848	C₂²	1	2	yes	—
73	#2848	C₂²	1	2	yes	—
74	#2848	C₂²	1	2	yes	—
75	#2848	C₂²	1	2	yes	—
76	#2835	C₂²	1	4	yes	—
77	#2827	C₂²	1	4	yes	—
78	#2807	C₂²	1	4	yes	—
79	#2805	C₂²	1	4	yes	complemented
80	#2796	C₂²	1	4	yes	—
81	#2794	C₂²	1	4	yes	complemented
82	#2790	C₂²	1	4	yes	—
83	#2787	C₂²	1	4	yes	complemented
84	#2786	C₂²	1	4	yes	complemented
85	#2782	C₂²	1	4	yes	—
86	#2782	C₂²	1	4	yes	—
87	#2767	C₂²	1	4	yes	complemented
88	#2767	C₂²	1	4	yes	complemented
89	#2765	C₂²	1	4	yes	—
90	#2764	C₂²	1	4	yes	—
91	#2763	C₂²	1	4	yes	—
92	#2763	C₂²	1	4	yes	—
93	#2762	C₂²	1	4	yes	complemented
94	#2759	C₂²	1	4	yes	complemented
95	#2758	C₂²	1	4	yes	complemented
96	#2757	C₂²	1	4	yes	—
97	#2755	C₂²	1	4	yes	complemented
98	#2754	C₂²	1	4	yes	complemented
99	#2751	C₂²	1	4	yes	—
100	#2750	C₂²	1	4	yes	—
101	#2747	C₂²	1	4	yes	complemented
102	#2745	C₂²	1	4	yes	—
103	#2739	C₂²	1	4	yes	—
104	#2736	C₂²	1	4	yes	—
105	#2735	C₂²	1	4	yes	—
106	#2698	C₂²	1	4	yes	—
107	#2686	C₂²	1	4	yes	—
108	#2685	C₂²	1	4	yes	—
109	#2684	C₂²	1	4	yes	—
110	#2655	C₂²	1	4	yes	complemented
111	#2653	C₂²	1	4	yes	—
112	#2652	C₂²	1	4	yes	—
113	#2650	C₂²	1	4	yes	complemented
114	#2647	C₂²	1	2	yes	complemented
115	#2645	C₂²	1	2	yes	complemented
116	#2628	C₂²	1	2	yes	—
117	#2628	C₂²	1	2	yes	—
118	#2628	C₂²	1	2	yes	complemented
119	#2625	C₂²	1	2	yes	—
120	#2625	C₂²	1	2	yes	complemented
121	#2616	C₂²	1	2	yes	—
122	#2597	C₂²	1	4	yes	—
123	#2596	C₂²	1	4	yes	complemented
124	#2595	C₂²	1	4	yes	complemented
125	#2589	C₂²	1	4	yes	—
126	#2589	C₂²	1	4	yes	—
127	#2588	C₂²	1	4	yes	complemented
128	#2586	C₂²	1	4	yes	complemented
129	#2584	C₂²	1	2	yes	complemented
130	#2581	C₂²	1	2	yes	complemented
131	#2578	C₂²	1	4	yes	—
132	#2575	C₂²	1	4	yes	—
133	#2574	C₂²	1	4	yes	—
134	#2571	C₂²	1	2	yes	complemented
135	#2568	C₂²	1	2	yes	complemented
136	#2568	C₂²	1	2	yes	complemented
137	#2567	C₂²	1	2	yes	complemented
138	#2563	C₂²	1	2	yes	—
139	#2563	C₂²	1	2	yes	—
140	#2562	C₂²	1	2	yes	—
141	#2562	C₂²	1	2	yes	—
142	#2559	C₂²	1	4	yes	—
143	#2553	C₂²	1	4	yes	—
144	#2550	C₂²	1	2	yes	complemented
145	#2550	C₂²	1	2	yes	complemented
146	#2547	C₂²	1	2	yes	—
147	#2547	C₂²	1	2	yes	—
148	#2542	C₂²	1	2	yes	—
149	#2538	C₂²	1	2	yes	—
150	#2536	C₂²	1	2	yes	—
151	#2536	C₂²	1	2	yes	—
152	#2536	C₂²	1	2	yes	—
153	#2536	C₂²	1	2	yes	—
154	#2530	C₂²	1	4	yes	—
155	#2527	C₂²	1	4	yes	—
156	#2520	C₂²	1	4	yes	complemented
157	#2514	C₂²	1	2	yes	complemented
158	#2514	C₂²	1	2	yes	complemented
159	#2511	C₂²	1	2	yes	complemented
160	#2511	C₂²	1	2	yes	complemented
161	#2509	C₂²	1	4	yes	complemented
162	#2509	C₂²	1	2	yes	complemented
163	#2509	C₂²	1	2	yes	complemented
164	#2508	C₂²	1	2	yes	complemented
165	#2508	C₂²	1	2	yes	complemented
166	#2508	C₂²	1	2	yes	complemented
167	#2499	C₂²	1	2	yes	—
168	#2499	C₂²	1	2	yes	complemented
169	#2497	C₂²	1	2	yes	—
170	#2497	C₂²	1	2	yes	complemented
171	#2496	C₂²	1	2	yes	—
172	#2496	C₂²	1	2	yes	—
173	#2496	C₂²	1	2	yes	complemented
174	#2496	C₂²	1	2	yes	complemented
175	#2495	C₂²	1	2	yes	—
176	#2495	C₂²	1	2	yes	—
177	#2495	C₂²	1	2	yes	—
178	#2495	C₂²	1	2	yes	complemented
179	#2494	C₂²	1	2	yes	—
180	#2494	C₂²	1	2	yes	—
181	#2494	C₂²	1	2	yes	complemented
182	#2492	C₂²	1	2	yes	—
183	#2492	C₂²	1	2	yes	—
184	#2492	C₂²	1	2	yes	—
185	#2492	C₂²	1	2	yes	—
186	#2492	C₂²	1	2	yes	—
187	#2492	C₂²	1	2	yes	complemented
188	#2489	C₂²	1	2	yes	—
189	#2489	C₂²	1	2	yes	—
190	#2489	C₂²	1	2	yes	—
191	#2489	C₂²	1	2	yes	—
192	#2489	C₂²	1	2	yes	complemented
193	#2489	C₂²	1	2	yes	complemented
194	#2489	C₂²	1	2	yes	complemented
195	#2487	C₂²	1	2	yes	—
196	#2487	C₂²	1	2	yes	complemented
197	#2485	C₂²	1	2	yes	—
198	#2485	C₂²	1	2	yes	—
199	#2485	C₂²	1	2	yes	—
200	#2485	C₂²	1	2	yes	—
201	#2485	C₂²	1	2	yes	complemented
202	#2465	C₂²	1	4	yes	—
203	#2458	C₂²	1	4	yes	—
204	#2453	C₂²	1	2	yes	complemented
205	#2453	C₂²	1	2	yes	complemented
206	#2453	C₂²	1	2	yes	complemented
207	#2453	C₂²	1	2	yes	complemented
208	#2453	C₂²	1	2	yes	complemented
209	#2451	C₂²	1	2	yes	complemented
210	#2451	C₂²	1	2	yes	complemented
211	#2451	C₂²	1	2	yes	complemented
212	#2451	C₂²	1	2	yes	complemented
213	#2446	C₂²	1	2	yes	complemented
214	#2446	C₂²	1	2	yes	complemented
215	#2442	C₂²	1	2	yes	complemented
216	#2442	C₂²	1	2	yes	complemented
217	#2439	C₂²	1	2	yes	—
218	#2439	C₂²	1	2	yes	—
219	#2439	C₂²	1	2	yes	—
220	#2439	C₂²	1	2	yes	complemented
221	#2429	C₂²	1	2	yes	—
222	#2429	C₂²	1	2	yes	—
223	#2423	C₂²	1	2	yes	—
224	#2423	C₂²	1	2	yes	—
225	#2421	C₂²	1	2	yes	—
226	#2421	C₂²	1	2	yes	—
227	#2421	C₂²	1	2	yes	—
228	#2421	C₂²	1	2	yes	complemented
229	#2421	C₂²	1	2	yes	complemented
230	#2421	C₂²	1	2	yes	complemented
231	#2417	C₂²	1	2	yes	—
232	#2417	C₂²	1	2	yes	—
233	#2415	C₂²	1	2	yes	—
234	#2415	C₂²	1	2	yes	—
235	#2415	C₂²	1	2	yes	—
236	#2415	C₂²	1	2	yes	—
237	#2415	C₂²	1	2	yes	—
238	#2415	C₂²	1	2	yes	—
239	#2415	C₂²	1	2	yes	complemented
240	#2409	C₂²	1	2	yes	—
241	#2409	C₂²	1	2	yes	—
242	#2409	C₂²	1	2	yes	—
243	#2409	C₂²	1	2	yes	complemented
244	#2383	C₂²	1	4	yes	—
245	#2379	C₂²	1	4	yes	—
246	#2373	C₂²	1	4	yes	complemented
247	#2370	C₂²	1	2	yes	complemented
248	#2369	C₂²	1	2	yes	complemented
249	#2365	C₂²	1	2	yes	complemented
250	#2365	C₂²	1	2	yes	complemented
251	#2362	C₂²	1	2	yes	—
252	#2362	C₂²	1	2	yes	—
253	#2362	C₂²	1	2	yes	—
254	#2362	C₂²	1	2	yes	complemented
255	#2362	C₂²	1	2	yes	complemented
256	#2360	C₂²	1	2	yes	complemented
257	#2360	C₂²	1	2	yes	complemented
258	#2356	C₂²	1	2	yes	complemented
259	#2355	C₂²	1	2	yes	complemented
260	#2355	C₂²	1	4	yes	complemented
261	#2354	C₂²	1	2	yes	—
262	#2352	C₂²	1	2	yes	—
263	#2352	C₂²	1	2	yes	—
264	#2351	C₂²	1	2	yes	complemented
265	#2351	C₂²	1	2	yes	complemented
266	#2347	C₂²	1	2	yes	complemented
267	#2346	C₂²	1	2	yes	—
268	#2346	C₂²	1	2	yes	complemented
269	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
270	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
271	#2337	C₂²	1	4	yes	—
272	#2334	C₂²	1	4	yes	—
273	#2334	C₂²	1	4	yes	complemented
274	#2331	C₂²	1	2	yes	complemented
275	#2323	C₂²	1	2	yes	—
276	#2323	C₂²	1	2	yes	—
277	#2323	C₂²	1	2	yes	complemented
278	#2320	C₂²	1	2	yes	complemented
279	#2320	C₂²	1	4	yes	complemented
280	#2317	C₂²	1	2	yes	complemented
281	#2314	C₂²	1	2	yes	—
282	#2311	C₂²	1	2	yes	—
283	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
284	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
285	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
286	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
287	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
288	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
289	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
290	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
291	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
292	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
293	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
294	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
295	C₄×C₂²⋊Q₈	C₂²	1	2	yes	—
296	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
297	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
298	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
299	C₄×#123	C₂²	1	1	yes	characteristic
300	C₄×#123	C₂²	1	1	yes	characteristic
301	C₄×#123	C₂²	1	1	yes	characteristic
302	C₄×#123	C₂²	1	1	yes	characteristic
303	C₄×#121	C₂²	1	1	yes	characteristic
304	C₄×#121	C₂²	1	1	yes	characteristic
305	C₄×#121	C₂²	1	1	yes	characteristic
306	C₄×#121	C₂²	1	1	yes	characteristic
307	C₄×#120	C₂²	1	1	yes	characteristic
308	C₄×#120	C₂²	1	1	yes	characteristic
309	C₄×#120	C₂²	1	1	yes	characteristic
310	C₄×#120	C₂²	1	1	yes	characteristic
311	#2297	C₂²	1	1	yes	characteristic
312	#2296	C₂²	1	1	yes	characteristic
313	#2296	C₂²	1	2	yes	—
314	#2296	C₂²	1	2	yes	—
315	#2290	C₂²	1	1	yes	characteristic
316	#2290	C₂²	1	1	yes	characteristic
317	#2290	C₂²	1	1	yes	characteristic
318	#2290	C₂²	1	1	yes	characteristic
319	#2285	C₂²	1	1	yes	characteristic
320	#2285	C₂²	1	1	yes	characteristic
321	#2285	C₂²	1	1	yes	characteristic, complemented
322	#2285	C₂²	1	1	yes	characteristic, complemented
323	#2280	C₂²	1	2	yes	—
324	#2280	C₂²	1	2	yes	—
325	#2280	C₂²	1	1	yes	characteristic
326	C₄²×D₄	C₂²	1	1	yes	characteristic
327	C₄²×D₄	C₂²	1	1	yes	characteristic
328	C₄²×D₄	C₂²	1	1	yes	characteristic
329	C₄²×D₄	C₂²	1	1	yes	characteristic
330	C₄×#117	C₂²	1	1	yes	characteristic
331	C₂²×#41	C₂³	1	1	yes	characteristic
332	C₂³×Q₈	C₂³	1	2	yes	—
333	C₂⁴×C₄	C₂³	1	1	yes	characteristic
334	C₂⁴×C₄	C₂³	1	1	yes	characteristic
335	C₂⁴×C₄	C₂³	1	1	yes	characteristic
336	#556	—	2	16	no	—
337	#533	—	4	4	no	—
338	#533	—	4	4	no	—
339	#533	—	4	4	no	—
340	C₂×C₄⋊Q₈	—	4	4	no	—
341	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
346	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
347	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
348	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
349	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
350	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
351	C₂×#126	C₂³	1	4	yes	—
352	C₂×#126	C₂³	1	4	yes	—
353	C₂×#125	C₂³	1	2	yes	—
354	C₂×#125	C₂³	1	2	yes	—
355	C₂×#125	C₂³	1	2	yes	—
356	C₂×#125	C₂³	1	2	yes	—
357	C₂×#124	C₂³	1	4	yes	—
358	#525	—	2	8	no	—
359	C₂×#123	C₂³	1	1	yes	characteristic
360	C₂×#123	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
362	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
363	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
368	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
369	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
371	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
372	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
373	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
374	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
376	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
377	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
378	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
379	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
380	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
381	C₂×#121	C₂³	1	1	yes	characteristic
382	C₂×#121	C₂³	1	1	yes	characteristic
383	C₂×#120	C₂³	1	1	yes	characteristic
384	C₂×#120	C₂³	1	1	yes	characteristic
385	C₄×#41	—	4	4	no	—
386	C₂×C₄×Q₈	C₂³	1	2	yes	—
387	C₂×C₄×Q₈	C₂³	1	4	yes	—
388	C₂×C₄×Q₈	C₂³	1	2	yes	—
389	C₂×C₄×Q₈	C₂³	1	2	yes	—
390	C₂×C₄×Q₈	C₂³	1	2	yes	—
391	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
392	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
393	C₂×C₄×Q₈	C₂³	1	2	yes	—
394	C₂×C₄×Q₈	C₂³	1	2	yes	—
395	C₂×C₄×Q₈	C₂³	1	2	yes	—
396	C₂×C₄×Q₈	C₂³	1	2	yes	—
397	C₂×C₄×Q₈	C₂³	1	2	yes	—
398	C₂×C₄×Q₈	C₂³	1	2	yes	—
399	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
400	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
401	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
402	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
403	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
404	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
405	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
407	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
408	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
409	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
410	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
411	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
412	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
413	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
414	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
415	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
416	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
417	C₂×#117	C₂³	1	2	yes	—
418	C₂×#117	C₂³	1	1	yes	characteristic
419	C₂×#117	C₂³	1	1	yes	characteristic
420	C₂×#117	C₂³	1	2	yes	—
421	C₂×#117	C₂³	1	1	yes	characteristic
422	C₂×#117	C₂³	1	1	yes	characteristic
423	C₂×#117	C₂³	1	2	yes	—
424	C₂×#117	C₂³	1	2	yes	—
425	C₂×#117	C₂³	1	2	yes	—
426	C₂×#117	C₂³	1	2	yes	—
427	C₂×#117	C₂³	1	2	yes	—
428	C₂×#117	C₂³	1	1	yes	characteristic
429	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
430	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
431	C₂²×C₄²	—	4	4	no	—
432	C₂²×C₄²	C₂³	1	1	yes	characteristic
433	C₂²×C₄²	C₂³	1	1	yes	characteristic
434	C₂²×C₄²	C₂³	1	1	yes	characteristic
435	C₂²×C₄²	C₂³	1	1	yes	characteristic
436	C₂²×C₄²	C₂³	1	1	yes	characteristic
437	C₂²×C₄²	C₂³	1	1	yes	characteristic
438	C₂²×C₄²	C₂³	1	1	yes	characteristic
439	C₂²×C₄²	C₂³	1	1	yes	characteristic
440	C₂²×C₄²	C₂³	1	1	yes	characteristic
441	C₂²×C₄²	C₂³	1	1	yes	characteristic
442	C₂²×C₄²	C₂³	1	1	yes	characteristic
443	C₂²×C₄²	C₂³	1	1	yes	characteristic
444	C₂²×C₄²	C₂³	1	1	yes	characteristic
445	C₂²×C₄²	C₂³	1	1	yes	characteristic
446	#401	C₂³	1	4	yes	—
447	#401	C₂³	1	4	yes	—
448	#400	C₂³	1	4	yes	—
449	#400	C₂³	1	4	yes	—
450	#400	C₂³	1	4	yes	—
451	#400	C₂³	1	4	yes	—
452	#400	C₂³	1	4	yes	—
453	#400	C₂³	1	4	yes	—
454	#400	C₂³	1	4	yes	—
455	#400	C₂³	1	4	yes	—
456	#400	C₂³	1	4	yes	—
457	#400	C₂³	1	4	yes	—
458	#400	C₂³	1	4	yes	—
459	#400	C₂³	1	4	yes	—
460	#400	C₂³	1	4	yes	—
461	#400	C₂³	1	4	yes	—
462	#400	C₂³	1	4	yes	—
463	#400	C₂³	1	4	yes	—
464	#400	C₂³	1	4	yes	—
465	#400	C₂³	1	4	yes	—
466	#400	C₂³	1	4	yes	—
467	#400	C₂³	1	4	yes	—
468	#400	C₂³	1	4	yes	—
469	#400	C₂³	1	4	yes	—
470	#400	C₂³	1	4	yes	—
471	#400	C₂³	1	4	yes	—
472	#399	C₂³	1	4	yes	—
473	#399	C₂³	1	4	yes	—
474	#399	C₂³	1	4	yes	—
475	#398	C₂³	1	4	yes	—
476	#398	C₂³	1	4	yes	—
477	#398	C₂³	1	4	yes	—
478	#398	C₂³	1	4	yes	—
479	#398	C₂³	1	4	yes	—
480	#398	C₂³	1	4	yes	—
481	#398	C₂³	1	4	yes	—
482	#398	C₂³	1	4	yes	—
483	#398	C₂³	1	4	yes	—
484	#398	C₂³	1	4	yes	—
485	#398	C₂³	1	4	yes	—
486	#397	C₂³	1	4	yes	—
487	#397	C₂³	1	4	yes	—
488	#397	C₂³	1	4	yes	—
489	#397	C₂³	1	4	yes	—
490	#397	C₂³	1	4	yes	—
491	#397	C₂³	1	4	yes	—
492	#397	C₂³	1	4	yes	—
493	#397	C₂³	1	4	yes	—
494	#397	C₂³	1	4	yes	—
495	#397	C₂³	1	4	yes	—
496	#397	C₂³	1	4	yes	—
497	#397	C₂³	1	4	yes	—
498	#397	C₂³	1	4	yes	—
499	#397	C₂³	1	4	yes	—
500	#397	C₂³	1	4	yes	—
501	#397	C₂³	1	4	yes	—
502	#396	C₂³	1	4	yes	—
503	#396	C₂³	1	4	yes	—
504	#396	C₂³	1	4	yes	—
505	#396	C₂³	1	4	yes	—
506	#395	C₂³	1	4	yes	—
507	#395	C₂³	1	4	yes	—
508	#395	C₂³	1	4	yes	—
509	#395	C₂³	1	4	yes	—
510	#395	C₂³	1	4	yes	—
511	#395	C₂³	1	4	yes	—
512	#394	C₂³	1	4	yes	—
513	#394	C₂³	1	4	yes	—
514	#394	C₂³	1	4	yes	—
515	#394	C₂³	1	4	yes	—
516	#394	C₂³	1	4	yes	—
517	#394	C₂³	1	4	yes	—
518	#394	C₂³	1	4	yes	—
519	#393	C₂³	1	4	yes	—
520	#393	C₂³	1	4	yes	—
521	#393	C₂³	1	4	yes	—
522	#393	C₂³	1	4	yes	—
523	#393	C₂³	1	4	yes	—
524	#393	C₂³	1	4	yes	—
525	#393	C₂³	1	4	yes	—
526	#391	C₂³	1	2	yes	—
527	#391	C₂³	1	2	yes	—
528	#391	C₂³	1	2	yes	—
529	#391	C₂³	1	2	yes	—
530	#391	C₂³	1	4	yes	—
531	#391	C₂³	1	2	yes	—
532	#391	C₂³	1	4	yes	—
533	#391	C₂³	1	4	yes	—
534	#391	C₂³	1	2	yes	—
535	#391	C₂³	1	2	yes	—
536	#391	C₂³	1	2	yes	—
537	#391	C₂³	1	2	yes	—
538	#391	C₂³	1	2	yes	—
539	#391	C₂³	1	4	yes	—
540	#391	C₂³	1	2	yes	—
541	#391	C₂³	1	4	yes	—
542	#391	C₂³	1	2	yes	—
543	#391	C₂³	1	4	yes	—
544	#391	C₂³	1	2	yes	—
545	#391	C₂³	1	2	yes	—
546	#391	C₂³	1	2	yes	—
547	#391	C₂³	1	4	yes	—
548	#391	C₂³	1	4	yes	—
549	#391	C₂³	1	4	yes	—
550	#391	C₂³	1	4	yes	—
551	#391	C₂³	1	2	yes	—
552	#391	C₂³	1	2	yes	—
553	#391	C₂³	1	2	yes	—
554	#391	C₂³	1	2	yes	—
555	#391	C₂³	1	4	yes	—
556	#391	C₂³	1	2	yes	—
557	#391	C₂³	1	2	yes	—
558	#391	C₂³	1	2	yes	—
559	#391	C₂³	1	2	yes	—
560	#391	C₂³	1	2	yes	—
561	#391	C₂³	1	1	yes	characteristic
562	#391	C₂³	1	1	yes	characteristic
563	#390	C₂³	1	4	yes	—
564	#390	C₂³	1	4	yes	—
565	#390	C₂³	1	1	yes	characteristic
566	#390	C₂³	1	1	yes	characteristic
567	#389	C₂³	1	2	yes	—
568	#389	C₂³	1	2	yes	—
569	#389	C₂³	1	2	yes	—
570	#389	C₂³	1	2	yes	—
571	#389	C₂³	1	2	yes	—
572	#389	C₂³	1	2	yes	—
573	#389	C₂³	1	2	yes	—
574	#389	C₂³	1	2	yes	—
575	#389	C₂³	1	2	yes	—
576	#389	C₂³	1	2	yes	—
577	#389	C₂³	1	2	yes	—
578	#389	C₂³	1	2	yes	—
579	#389	C₂³	1	4	yes	—
580	#389	C₂³	1	2	yes	—
581	#389	C₂³	1	2	yes	—
582	#389	C₂³	1	2	yes	—
583	#389	C₂³	1	2	yes	—
584	#389	C₂³	1	2	yes	—
585	#389	C₂³	1	4	yes	—
586	#389	C₂³	1	2	yes	—
587	#389	C₂³	1	4	yes	—
588	#389	C₂³	1	4	yes	—
589	#389	C₂³	1	2	yes	—
590	#389	C₂³	1	2	yes	—
591	#389	C₂³	1	4	yes	—
592	#389	C₂³	1	2	yes	—
593	#389	C₂³	1	2	yes	—
594	#389	C₂³	1	2	yes	—
595	#389	C₂³	1	2	yes	—
596	#389	C₂³	1	2	yes	—
597	#389	C₂³	1	2	yes	—
598	#389	C₂³	1	2	yes	—
599	#389	C₂³	1	1	yes	characteristic
600	#389	C₂³	1	4	yes	—
601	#389	C₂³	1	4	yes	—
602	#389	C₂³	1	4	yes	—
603	#389	C₂³	1	4	yes	—
604	#389	C₂³	1	4	yes	—
605	#389	C₂³	1	2	yes	—
606	#389	C₂³	1	2	yes	—
607	#389	C₂³	1	2	yes	—
608	#389	C₂³	1	2	yes	—
609	#389	C₂³	1	2	yes	—
610	#389	C₂³	1	2	yes	—
611	#389	C₂³	1	2	yes	—
612	#389	C₂³	1	2	yes	—
613	#389	C₂³	1	2	yes	—
614	#389	C₂³	1	4	yes	—
615	#389	C₂³	1	1	yes	characteristic
616	#389	C₂³	1	1	yes	characteristic
617	#389	C₂³	1	1	yes	characteristic
618	#388	C₂³	1	4	yes	—
619	#388	C₂³	1	4	yes	—
620	#388	C₂³	1	4	yes	—
621	#388	C₂³	1	4	yes	—
622	#388	C₂³	1	4	yes	—
623	#388	C₂³	1	4	yes	—
624	#388	C₂³	1	4	yes	—
625	#388	C₂³	1	4	yes	—
626	#388	C₂³	1	4	yes	—
627	#388	C₂³	1	4	yes	—
628	#388	C₂³	1	4	yes	—
629	#388	C₂³	1	4	yes	—
630	#388	C₂³	1	4	yes	—
631	#388	C₂³	1	4	yes	—
632	#388	C₂³	1	4	yes	—
633	#388	C₂³	1	1	yes	characteristic
634	#388	C₂³	1	4	yes	—
635	#388	C₂³	1	4	yes	—
636	#388	C₂³	1	4	yes	—
637	#388	C₂³	1	4	yes	—
638	#388	C₂³	1	4	yes	—
639	#388	C₂³	1	1	yes	characteristic
640	#388	C₂³	1	4	yes	—
641	#388	C₂³	1	4	yes	—
642	#388	C₂³	1	4	yes	—
643	#388	C₂³	1	4	yes	—
644	#388	C₂³	1	4	yes	—
645	#388	C₂³	1	4	yes	—
646	#388	C₂³	1	4	yes	—
647	#388	C₂³	1	4	yes	—
648	#388	C₂³	1	1	yes	characteristic
649	#388	C₂³	1	1	yes	characteristic
650	#388	C₂³	1	1	yes	characteristic
651	#388	C₂³	1	1	yes	characteristic
652	#388	C₂³	1	1	yes	characteristic
653	#388	C₂³	1	1	yes	characteristic
654	#387	C₂³	1	4	yes	—
655	#387	C₂³	1	4	yes	—
656	#387	C₂³	1	4	yes	—
657	#387	C₂³	1	4	yes	—
658	#387	C₂³	1	4	yes	—
659	#387	C₂³	1	4	yes	—
660	#387	C₂³	1	4	yes	—
661	#387	C₂³	1	4	yes	—
662	#387	C₂³	1	1	yes	characteristic
663	#387	C₂³	1	4	yes	—
664	#387	C₂³	1	4	yes	—
665	#387	C₂³	1	4	yes	—
666	#387	C₂³	1	4	yes	—
667	#387	C₂³	1	4	yes	—
668	#387	C₂³	1	4	yes	—
669	#387	C₂³	1	4	yes	—
670	#387	C₂³	1	4	yes	—
671	#387	C₂³	1	4	yes	—
672	#387	C₂³	1	4	yes	—
673	#387	C₂³	1	4	yes	—
674	#387	C₂³	1	4	yes	—
675	#387	C₂³	1	4	yes	—
676	#387	C₂³	1	1	yes	characteristic
677	#387	C₂³	1	4	yes	—
678	#387	C₂³	1	4	yes	—
679	#387	C₂³	1	4	yes	—
680	#387	C₂³	1	4	yes	—
681	#387	C₂³	1	4	yes	—
682	#387	C₂³	1	4	yes	—
683	#387	C₂³	1	4	yes	—
684	#387	C₂³	1	4	yes	—
685	#387	C₂³	1	4	yes	—
686	#387	C₂³	1	4	yes	—
687	#387	C₂³	1	4	yes	—
688	#387	C₂³	1	4	yes	—
689	#387	C₂³	1	1	yes	characteristic
690	#387	C₂³	1	4	yes	—
691	#387	C₂³	1	4	yes	—
692	#387	C₂³	1	4	yes	—
693	#387	C₂³	1	1	yes	characteristic
694	#387	C₂³	1	1	yes	characteristic
695	#387	C₂³	1	1	yes	characteristic
696	#387	C₂³	1	1	yes	characteristic
697	#387	C₂³	1	1	yes	characteristic
698	#386	C₂³	1	4	yes	—
699	#386	C₂³	1	4	yes	—
700	#386	C₂³	1	1	yes	characteristic
701	#386	C₂³	1	1	yes	characteristic
702	#386	C₂³	1	1	yes	characteristic
703	#386	C₂³	1	4	yes	—
704	#386	C₂³	1	1	yes	characteristic
705	#386	C₂³	1	4	yes	—
706	#386	C₂³	1	1	yes	characteristic
707	#386	C₂³	1	1	yes	characteristic
708	#386	C₂³	1	1	yes	characteristic
709	#386	C₂³	1	1	yes	characteristic
710	#386	C₂³	1	1	yes	characteristic
711	#386	C₂³	1	1	yes	characteristic
712	#386	C₂³	1	1	yes	characteristic
713	#386	C₂³	1	1	yes	characteristic
714	#385	C₂³	1	4	yes	—
715	#385	C₂³	1	4	yes	—
716	#385	C₂³	1	4	yes	—
717	#385	C₂³	1	4	yes	—
718	#385	C₂³	1	4	yes	—
719	#385	C₂³	1	4	yes	—
720	#385	C₂³	1	4	yes	—
721	#385	C₂³	1	1	yes	characteristic
722	#385	C₂³	1	1	yes	characteristic
723	#385	C₂³	1	1	yes	characteristic
724	#385	C₂³	1	1	yes	characteristic
725	#385	C₂³	1	4	yes	—
726	#385	C₂³	1	4	yes	—
727	#385	C₂³	1	4	yes	—
728	#385	C₂³	1	4	yes	—
729	#385	C₂³	1	4	yes	—
730	#385	C₂³	1	4	yes	—
731	#385	C₂³	1	4	yes	—
732	#385	C₂³	1	4	yes	—
733	#385	C₂³	1	4	yes	—
734	#385	C₂³	1	1	yes	characteristic
735	#385	C₂³	1	1	yes	characteristic
736	#385	C₂³	1	1	yes	characteristic
737	#385	C₂³	1	1	yes	characteristic
738	#385	C₂³	1	1	yes	characteristic
739	#385	C₂³	1	1	yes	characteristic
740	#385	C₂³	1	1	yes	characteristic
741	#385	C₂³	1	1	yes	characteristic
742	#384	C₂³	1	1	yes	characteristic
743	#384	C₂³	1	1	yes	characteristic
744	#384	C₂³	1	1	yes	characteristic
745	#384	C₂³	1	1	yes	characteristic
746	#384	C₂³	1	4	yes	—
747	#384	C₂³	1	2	yes	—
748	#384	C₂³	1	2	yes	—
749	#384	C₂³	1	2	yes	—
750	#383	C₂³	1	4	yes	—
751	#383	C₂³	1	4	yes	—
752	#383	C₂³	1	4	yes	—
753	#382	C₂³	1	4	yes	—
754	#382	C₂³	1	4	yes	—
755	#382	C₂³	1	2	yes	—
756	#382	C₂³	1	2	yes	—
757	#382	C₂³	1	2	yes	—
758	#382	C₂³	1	2	yes	—
759	#382	C₂³	1	2	yes	—
760	#382	C₂³	1	4	yes	—
761	#382	C₂³	1	4	yes	—
762	#382	C₂³	1	4	yes	—
763	#382	C₂³	1	2	yes	—
764	#382	C₂³	1	4	yes	—
765	#382	C₂³	1	2	yes	—
766	#382	C₂³	1	2	yes	—
767	#382	C₂³	1	2	yes	—
768	#382	C₂³	1	4	yes	—
769	#381	C₂³	1	1	yes	characteristic
770	#381	C₂³	1	4	yes	—
771	#381	C₂³	1	4	yes	—
772	#381	C₂³	1	1	yes	characteristic
773	#380	C₂³	1	2	yes	—
774	#380	C₂³	1	2	yes	—
775	#380	C₂³	1	2	yes	—
776	#380	C₂³	1	2	yes	—
777	#380	C₂³	1	2	yes	—
778	#380	C₂³	1	2	yes	—
779	#380	C₂³	1	2	yes	—
780	#380	C₂³	1	2	yes	—
781	#380	C₂³	1	2	yes	—
782	#380	C₂³	1	2	yes	—
783	#380	C₂³	1	2	yes	—
784	#380	C₂³	1	2	yes	—
785	#380	C₂³	1	2	yes	—
786	#380	C₂³	1	2	yes	—
787	#380	C₂³	1	2	yes	—
788	#380	C₂³	1	2	yes	—
789	#380	C₂³	1	2	yes	—
790	#380	C₂³	1	2	yes	—
791	#380	C₂³	1	2	yes	—
792	#380	C₂³	1	1	yes	characteristic
793	#380	C₂³	1	4	yes	—
794	#380	C₂³	1	2	yes	—
795	#380	C₂³	1	2	yes	—
796	#380	C₂³	1	2	yes	—
797	#380	C₂³	1	2	yes	—
798	#380	C₂³	1	2	yes	—
799	#380	C₂³	1	2	yes	—
800	#380	C₂³	1	2	yes	—
801	#380	C₂³	1	2	yes	—
802	#380	C₂³	1	2	yes	—
803	#380	C₂³	1	2	yes	—
804	#380	C₂³	1	4	yes	—
805	#380	C₂³	1	2	yes	—
806	#380	C₂³	1	2	yes	—
807	#380	C₂³	1	1	yes	characteristic
808	#380	C₂³	1	2	yes	—
809	#380	C₂³	1	1	yes	characteristic
810	#380	C₂³	1	1	yes	characteristic
811	#379	C₂³	1	4	yes	—
812	#379	C₂³	1	4	yes	—
813	#379	C₂³	1	1	yes	characteristic
814	#379	C₂³	1	1	yes	characteristic
815	C₄×C₄⋊C₄	C₂³	1	2	yes	—
816	C₄×C₄⋊C₄	C₂³	1	2	yes	—
817	C₄×C₄⋊C₄	C₂³	1	2	yes	—
818	C₄×C₄⋊C₄	C₂³	1	2	yes	—
819	C₄×C₄⋊C₄	C₂³	1	2	yes	—
820	C₄×C₄⋊C₄	C₂³	1	2	yes	—
821	C₄×C₄⋊C₄	C₂³	1	2	yes	—
822	C₄×C₄⋊C₄	C₂³	1	2	yes	—
823	C₄×C₄⋊C₄	C₂³	1	2	yes	—
824	C₄×C₄⋊C₄	C₂³	1	2	yes	—
825	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
826	C₄×C₄⋊C₄	C₂³	1	2	yes	—
827	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
828	C₄×C₄⋊C₄	C₂³	1	4	yes	—
829	C₄×C₄⋊C₄	C₂³	1	4	yes	—
830	C₄×C₄⋊C₄	C₂³	1	2	yes	—
831	C₄×C₄⋊C₄	C₂³	1	4	yes	—
832	C₄×C₄⋊C₄	C₂³	1	4	yes	—
833	C₄×C₄⋊C₄	C₂³	1	4	yes	—
834	C₄×C₄⋊C₄	C₂³	1	4	yes	—
835	C₄×C₄⋊C₄	C₂³	1	4	yes	—
836	C₄×C₄⋊C₄	C₂³	1	4	yes	—
837	C₄×C₄⋊C₄	C₂³	1	2	yes	—
838	C₄×C₄⋊C₄	C₂³	1	2	yes	—
839	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
840	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
841	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
842	C₄×C₄⋊C₄	C₂³	1	2	yes	—
843	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
844	C₄×C₄⋊C₄	C₂³	1	2	yes	—
845	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
846	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
847	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
848	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
849	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
850	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
851	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
852	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
853	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
854	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
855	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
856	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
857	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
858	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
859	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
860	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
861	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
862	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
863	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
864	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
865	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
866	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
867	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
868	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
871	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
872	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
873	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
874	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
875	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
876	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
877	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
878	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
879	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
880	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
881	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
882	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
883	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
885	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
888	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
889	#376	C₂³	1	1	yes	characteristic
890	#376	C₂³	1	4	yes	—
891	#376	C₂³	1	1	yes	characteristic
892	C₄³	C₂³	1	1	yes	characteristic
893	C₄³	C₂³	1	1	yes	characteristic
894	C₂⁵	C₂⁴	1	1	yes	characteristic
895	C₂×#41	—	2	4	no	—
896	C₂×#41	—	2	4	no	—
897	C₂×#41	—	4	2	no	—
898	C₂²×Q₈	—	4	4	no	—
899	C₂²×Q₈	—	4	4	no	—
900	C₂²×Q₈	—	4	4	no	—
901	C₂²×Q₈	C₂⁴	1	2	yes	—
902	C₂²×Q₈	C₂⁴	1	2	yes	—
903	C₂²×Q₈	C₂⁴	1	2	yes	—
904	C₂²×Q₈	C₂⁴	1	2	yes	—
905	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
906	C₂²×Q₈	C₂⁴	1	4	yes	—
907	C₂²×Q₈	C₂⁴	1	4	yes	—
908	C₂²×D₄	C₂⁴	1	1	yes	characteristic
909	C₂²×D₄	C₂⁴	1	1	yes	characteristic
910	C₂²×D₄	C₂⁴	1	1	yes	characteristic
911	C₂²×D₄	C₂⁴	1	1	yes	characteristic
912	C₂²×D₄	C₂⁴	1	1	yes	characteristic
913	C₂²×D₄	C₂⁴	1	1	yes	characteristic
914	C₂²×D₄	C₂⁴	1	1	yes	characteristic
915	C₂³×C₄	—	2	4	no	—
916	C₂³×C₄	—	2	4	no	—
917	C₂³×C₄	—	2	4	no	—
918	C₂³×C₄	—	4	2	no	—
919	C₂³×C₄	—	4	2	no	—
920	C₂³×C₄	—	4	2	no	—
921	C₂³×C₄	—	4	2	no	—
922	C₂³×C₄	—	4	2	no	—
923	C₂³×C₄	—	4	2	no	—
924	C₂³×C₄	C₂⁴	1	1	yes	characteristic
925	C₂³×C₄	C₂⁴	1	1	yes	characteristic
926	C₂³×C₄	C₂⁴	1	1	yes	characteristic
927	C₂³×C₄	C₂⁴	1	1	yes	characteristic
928	C₂³×C₄	C₂⁴	1	1	yes	characteristic
929	C₂³×C₄	C₂⁴	1	1	yes	characteristic
930	C₂³×C₄	C₂⁴	1	1	yes	characteristic
931	C₂³×C₄	C₂⁴	1	1	yes	characteristic
932	C₂³×C₄	C₂⁴	1	1	yes	characteristic
933	C₂³×C₄	C₂⁴	1	1	yes	characteristic
934	C₂³×C₄	C₂⁴	1	1	yes	characteristic
935	C₂³×C₄	C₂⁴	1	1	yes	characteristic
936	C₂³×C₄	C₂⁴	1	1	yes	characteristic
937	C₂³×C₄	C₂⁴	1	1	yes	characteristic
938	C₂³×C₄	C₂⁴	1	1	yes	characteristic
939	C₂³×C₄	C₂⁴	1	1	yes	characteristic
940	C₂³×C₄	C₂⁴	1	1	yes	characteristic
941	C₂³×C₄	C₂⁴	1	1	yes	characteristic
942	C₂³×C₄	C₂⁴	1	1	yes	characteristic
943	C₂³×C₄	C₂⁴	1	1	yes	characteristic
944	C₂³×C₄	C₂⁴	1	1	yes	characteristic
945	C₂³×C₄	C₂⁴	1	4	yes	—
946	C₂³×C₄	C₂⁴	1	1	yes	characteristic
947	C₂³×C₄	C₂⁴	1	1	yes	characteristic
948	C₂³×C₄	C₂⁴	1	1	yes	characteristic
949	C₄⋊Q₈	—	2	8	no	—
950	C₄⋊Q₈	—	2	4	no	—
951	C₄⋊Q₈	—	2	4	no	—
952	C₄⋊Q₈	—	2	4	no	—
953	C₄⋊Q₈	—	2	4	no	—
954	C₄⋊Q₈	—	4	4	no	—
955	C₄⋊Q₈	—	4	4	no	—
956	C₄⋊Q₈	—	4	4	no	—
957	C₄⋊Q₈	—	4	4	no	—
958	C₄⋊Q₈	—	4	4	no	—
959	#126	—	2	16	no	—
960	#126	—	2	16	no	—
961	#125	—	4	4	no	—
962	#125	—	4	4	no	—
963	#125	—	4	4	no	—
964	#125	—	4	4	no	—
965	#124	—	2	16	no	—
966	#123	—	2	4	no	—
967	#123	—	2	4	no	—
968	C₂²⋊Q₈	—	2	8	no	—
969	C₂²⋊Q₈	—	2	8	no	—
970	C₂²⋊Q₈	—	2	8	no	—
971	C₂²⋊Q₈	—	2	8	no	—
972	C₂²⋊Q₈	—	2	4	no	—
973	C₂²⋊Q₈	—	2	4	no	—
974	C₂²⋊Q₈	—	4	4	no	—
975	C₂²⋊Q₈	—	4	4	no	—
976	C₂²⋊Q₈	—	4	4	no	—
977	C₂²⋊Q₈	—	4	4	no	—
978	C₂²⋊Q₈	—	4	4	no	—
979	C₂²⋊Q₈	—	4	4	no	—
980	C₂²⋊Q₈	—	4	4	no	—
981	C₂²⋊Q₈	—	4	4	no	—
982	C₂²⋊Q₈	—	4	4	no	—
983	C₂²⋊Q₈	—	4	4	no	—
984	C₂²⋊Q₈	—	4	4	no	—
985	C₂²⋊Q₈	—	4	4	no	—
986	C₂²⋊Q₈	—	4	4	no	—
987	C₂²⋊Q₈	—	4	4	no	—
988	#121	—	2	4	no	—
989	#121	—	2	4	no	—
990	#120	—	2	4	no	—
991	#120	—	2	4	no	—
992	C₄×Q₈	—	2	16	no	—
993	C₄×Q₈	—	2	8	no	—
994	C₄×Q₈	—	4	2	no	—
995	C₄×Q₈	—	4	2	no	—
996	C₄×Q₈	—	4	4	no	—
997	C₄×Q₈	—	4	4	no	—
998	C₄×Q₈	—	4	4	no	—
999	C₄×Q₈	—	4	4	no	—
1000	C₄×Q₈	—	4	4	no	—
1001	C₄×Q₈	—	4	4	no	—
1002	C₄×Q₈	—	4	4	no	—
1003	C₄×Q₈	—	4	4	no	—
1004	C₄×Q₈	—	4	4	no	—
1005	C₄×D₄	—	2	4	no	—
1006	C₄×D₄	—	2	4	no	—
1007	C₄×D₄	—	2	4	no	—
1008	C₄×D₄	—	2	4	no	—
1009	C₄×D₄	—	2	4	no	—
1010	C₄×D₄	—	4	2	no	—
1011	C₄×D₄	—	4	2	no	—
1012	C₄×D₄	—	4	2	no	—
1013	C₄×D₄	—	4	2	no	—
1014	C₄×D₄	—	4	2	no	—
1015	C₄×D₄	—	4	2	no	—
1016	C₄×D₄	—	4	2	no	—
1017	C₄×D₄	—	4	2	no	—
1018	C₄×D₄	—	4	2	no	—
1019	C₄×D₄	—	4	2	no	—
1020	C₄×D₄	—	4	2	no	—
1021	C₄×D₄	—	4	2	no	—
1022	C₄×D₄	#41	1	8	yes	—
1023	#117	—	2	8	no	—
1024	#117	—	2	8	no	—
1025	#117	—	2	4	no	—
1026	#117	—	2	4	no	—
1027	#117	—	4	2	no	—
1028	#117	—	4	2	no	—
1029	#117	—	4	2	no	—
1030	#117	—	4	4	no	—
1031	#117	—	4	4	no	—
1032	#117	—	4	4	no	—
1033	#117	—	4	4	no	—
1034	#117	—	4	4	no	—
1035	C₂×C₄⋊C₄	—	4	4	no	—
1036	C₂×C₄⋊C₄	—	4	4	no	—
1037	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1040	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1041	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1042	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1043	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1044	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1045	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1046	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1047	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1048	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1051	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1052	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1053	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1061	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1066	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1067	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1068	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1069	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1071	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1072	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1073	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1074	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1082	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1083	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1084	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1085	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1086	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1087	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1088	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1089	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1090	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1091	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1092	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1093	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1094	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1095	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1096	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1097	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1098	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1099	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1100	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1101	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1102	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1103	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1104	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1105	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1106	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1107	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1125	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1126	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1127	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1128	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1135	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1136	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1137	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1138	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1139	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1152	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1153	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1154	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1155	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1156	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1157	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1158	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1159	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1161	C₂×C₄²	—	2	4	no	—
1162	C₂×C₄²	—	2	4	no	—
1163	C₂×C₄²	—	2	4	no	—
1164	C₂×C₄²	—	2	4	no	—
1165	C₂×C₄²	—	2	4	no	—
1166	C₂×C₄²	—	4	2	no	—
1167	C₂×C₄²	—	4	2	no	—
1168	C₂×C₄²	—	4	2	no	—
1169	C₂×C₄²	—	4	2	no	—
1170	C₂×C₄²	—	4	2	no	—
1171	C₂×C₄²	—	4	2	no	—
1172	C₂×C₄²	—	4	2	no	—
1173	C₂×C₄²	—	4	2	no	—
1174	C₂×C₄²	—	4	2	no	—
1175	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1176	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1177	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1178	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1179	C₂×C₄²	C₂⁴	1	4	yes	—
1180	C₂×C₄²	C₂⁴	1	4	yes	—
1181	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1182	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1183	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1184	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1185	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1186	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1187	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1188	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1189	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1190	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1191	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1192	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1193	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1194	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1195	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1196	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1197	C₂×C₄²	C₂⁴	1	4	yes	—
1198	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1199	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1200	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1201	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1202	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1203	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1204	C₂×C₄²	C₂⁴	1	4	yes	—
1205	C₂×C₄²	C₂⁴	1	4	yes	—
1206	C₂×C₄²	C₂⁴	1	4	yes	—
1207	C₂×C₄²	C₂⁴	1	4	yes	—
1208	C₂×C₄²	C₂⁴	1	4	yes	—
1209	C₂×C₄²	C₂⁴	1	4	yes	—
1210	C₂×C₄²	C₂⁴	1	4	yes	—
1211	C₂×C₄²	C₂⁴	1	4	yes	—
1212	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1213	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1214	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1215	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1216	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1217	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1218	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1219	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1220	#95	C₂⁴	1	1	yes	characteristic
1221	#95	C₂⁴	1	4	yes	—
1222	#95	C₂⁴	1	1	yes	characteristic
1223	#95	C₂⁴	1	1	yes	characteristic
1224	#95	C₂⁴	1	1	yes	characteristic
1225	#95	C₂⁴	1	1	yes	characteristic
1226	#95	C₂⁴	1	1	yes	characteristic
1227	#95	C₂⁴	1	1	yes	characteristic
1228	#95	C₂⁴	1	1	yes	characteristic
1229	#95	C₂⁴	1	1	yes	characteristic
1230	#95	C₂⁴	1	4	yes	—
1231	#95	C₂⁴	1	4	yes	—
1232	#95	C₂⁴	1	1	yes	characteristic
1233	#95	C₂⁴	1	1	yes	characteristic
1234	#95	C₂⁴	1	1	yes	characteristic
1235	#95	C₂⁴	1	1	yes	characteristic
1236	#95	C₂⁴	1	1	yes	characteristic
1237	#95	C₂⁴	1	1	yes	characteristic
1238	#95	C₂⁴	1	1	yes	characteristic
1239	#95	C₂⁴	1	1	yes	characteristic
1240	#95	C₂⁴	1	1	yes	characteristic
1241	#95	C₂⁴	1	1	yes	characteristic
1242	#95	C₂⁴	1	1	yes	characteristic
1243	#95	C₂⁴	1	1	yes	characteristic
1244	#95	C₂⁴	1	1	yes	characteristic
1245	#95	C₂⁴	1	1	yes	characteristic
1246	#95	C₂⁴	1	1	yes	characteristic
1247	#95	C₂⁴	1	1	yes	characteristic
1248	#95	C₂⁴	1	1	yes	characteristic
1249	#95	C₂⁴	1	1	yes	characteristic
1250	#95	C₂⁴	1	1	yes	characteristic
1251	#95	C₂⁴	1	1	yes	characteristic
1252	#95	C₂⁴	1	1	yes	characteristic
1253	#95	C₂⁴	1	1	yes	characteristic
1254	#95	C₂⁴	1	1	yes	characteristic
1255	#95	C₂⁴	1	4	yes	—
1256	#95	C₂⁴	1	4	yes	—
1257	#95	C₂⁴	1	4	yes	—
1258	#95	C₂⁴	1	4	yes	—
1259	#95	C₂⁴	1	4	yes	—
1260	#95	C₂⁴	1	4	yes	—
1261	#95	C₂⁴	1	4	yes	—
1262	#95	C₂⁴	1	4	yes	—
1263	#95	C₂⁴	1	4	yes	—
1264	#95	C₂⁴	1	4	yes	—
1265	#95	C₂⁴	1	4	yes	—
1266	#95	C₂⁴	1	4	yes	—
1267	#95	C₂⁴	1	4	yes	—
1268	#95	C₂⁴	1	4	yes	—
1269	#95	C₂⁴	1	4	yes	—
1270	#95	C₂⁴	1	4	yes	—
1271	#95	C₂⁴	1	4	yes	—
1272	#95	C₂⁴	1	4	yes	—
1273	#95	C₂⁴	1	4	yes	—
1274	#95	C₂⁴	1	4	yes	—
1275	#95	C₂⁴	1	4	yes	—
1276	#95	C₂⁴	1	4	yes	—
1277	#95	C₂⁴	1	4	yes	—
1278	#95	C₂⁴	1	4	yes	—
1279	#95	C₂⁴	1	4	yes	—
1280	#95	C₂⁴	1	4	yes	—
1281	#95	C₂⁴	1	4	yes	—
1282	#95	C₂⁴	1	4	yes	—
1283	#95	C₂⁴	1	4	yes	—
1284	#95	C₂⁴	1	4	yes	—
1285	#95	C₂⁴	1	4	yes	—
1286	#95	C₂⁴	1	4	yes	—
1287	#95	C₂⁴	1	4	yes	—
1288	#95	C₂⁴	1	4	yes	—
1289	#95	C₂⁴	1	4	yes	—
1290	#95	C₂⁴	1	4	yes	—
1291	#95	C₂⁴	1	4	yes	—
1292	#95	C₂⁴	1	4	yes	—
1293	#95	C₂⁴	1	4	yes	—
1294	#95	C₂⁴	1	4	yes	—
1295	#95	C₂⁴	1	4	yes	—
1296	#95	C₂⁴	1	4	yes	—
1297	#95	C₂⁴	1	4	yes	—
1298	#95	C₂⁴	1	4	yes	—
1299	#95	C₂⁴	1	4	yes	—
1300	#95	C₂⁴	1	4	yes	—
1301	#95	C₂⁴	1	4	yes	—
1302	C₂⁴	—	2	2	no	—
1303	C₂⁴	—	2	2	no	—
1304	C₂⁴	—	2	2	no	—
1305	C₂⁴	—	4	1	no	—
1306	C₂⁴	—	4	1	no	—
1307	C₂⁴	—	4	1	no	—
1308	C₂⁴	—	4	1	no	—
1309	C₂⁴	C₂⁵	1	1	yes	characteristic
1310	C₂⁴	C₂⁵	1	1	yes	characteristic
1311	C₂⁴	C₂⁵	1	1	yes	characteristic
1312	C₂⁴	C₂⁵	1	1	yes	characteristic
1313	C₂⁴	C₂⁵	1	1	yes	characteristic
1314	#41	—	4	16	no	—
1315	C₂×Q₈	—	2	4	no	—
1316	C₂×Q₈	—	2	2	no	—
1317	C₂×Q₈	—	2	8	no	—
1318	C₂×Q₈	—	2	4	no	—
1319	C₂×Q₈	—	2	4	no	—
1320	C₂×Q₈	—	2	4	no	—
1321	C₂×Q₈	—	2	4	no	—
1322	C₂×Q₈	—	2	4	no	—
1323	C₂×Q₈	—	2	4	no	—
1324	C₂×Q₈	—	2	2	no	—
1325	C₂×Q₈	—	2	4	no	—
1326	C₂×Q₈	—	2	4	no	—
1327	C₂×Q₈	—	2	4	no	—
1328	C₂×Q₈	—	2	4	no	—
1329	C₂×Q₈	—	2	4	no	—
1330	C₂×Q₈	—	4	1	no	—
1331	C₂×Q₈	—	4	4	no	—
1332	C₂×Q₈	—	4	4	no	—
1333	C₂×Q₈	—	4	4	no	—
1334	C₂×Q₈	—	4	4	no	—
1335	C₂×Q₈	—	4	4	no	—
1336	C₂×Q₈	—	8	16	no	—
1337	C₂×D₄	—	2	2	no	—
1338	C₂×D₄	—	2	2	no	—
1339	C₂×D₄	—	2	2	no	—
1340	C₂×D₄	—	2	2	no	—
1341	C₂×D₄	—	2	2	no	—
1342	C₂×D₄	—	2	2	no	—
1343	C₂×D₄	—	2	2	no	—
1344	C₂×D₄	—	2	2	no	—
1345	C₂×D₄	—	2	2	no	—
1346	C₂×D₄	—	2	2	no	—
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	4	1	no	—
1349	C₂×D₄	—	4	1	no	—
1350	C₂×D₄	—	4	1	no	—
1351	C₂×D₄	—	4	1	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	—	4	1	no	—
1355	C₂×D₄	—	4	1	no	—
1356	C₂×D₄	—	4	1	no	—
1357	C₂×D₄	C₂×#41	1	4	yes	—
1358	C₂²×C₄	—	2	2	no	—
1359	C₂²×C₄	—	2	2	no	—
1360	C₂²×C₄	—	2	2	no	—
1361	C₂²×C₄	—	2	2	no	—
1362	C₂²×C₄	—	2	2	no	—
1363	C₂²×C₄	—	2	2	no	—
1364	C₂²×C₄	—	2	2	no	—
1365	C₂²×C₄	—	2	2	no	—
1366	C₂²×C₄	—	2	2	no	—
1367	C₂²×C₄	—	2	2	no	—
1368	C₂²×C₄	—	2	2	no	—
1369	C₂²×C₄	—	2	2	no	—
1370	C₂²×C₄	—	2	2	no	—
1371	C₂²×C₄	—	2	2	no	—
1372	C₂²×C₄	—	2	2	no	—
1373	C₂²×C₄	—	2	2	no	—
1374	C₂²×C₄	—	2	2	no	—
1375	C₂²×C₄	—	2	2	no	—
1376	C₂²×C₄	—	2	2	no	—
1377	C₂²×C₄	—	2	2	no	—
1378	C₂²×C₄	—	2	2	no	—
1379	C₂²×C₄	—	2	2	no	—
1380	C₂²×C₄	—	2	2	no	—
1381	C₂²×C₄	—	2	2	no	—
1382	C₂²×C₄	—	2	2	no	—
1383	C₂²×C₄	—	2	2	no	—
1384	C₂²×C₄	—	2	2	no	—
1385	C₂²×C₄	—	2	2	no	—
1386	C₂²×C₄	—	2	2	no	—
1387	C₂²×C₄	—	2	2	no	—
1388	C₂²×C₄	—	2	2	no	—
1389	C₂²×C₄	—	2	2	no	—
1390	C₂²×C₄	—	2	2	no	—
1391	C₂²×C₄	—	2	2	no	—
1392	C₂²×C₄	—	2	2	no	—
1393	C₂²×C₄	—	2	2	no	—
1394	C₂²×C₄	—	2	2	no	—
1395	C₂²×C₄	—	2	2	no	—
1396	C₂²×C₄	—	2	2	no	—
1397	C₂²×C₄	—	2	2	no	—
1398	C₂²×C₄	—	2	2	no	—
1399	C₂²×C₄	—	2	2	no	—
1400	C₂²×C₄	—	2	2	no	—
1401	C₂²×C₄	—	2	2	no	—
1402	C₂²×C₄	—	2	2	no	—
1403	C₂²×C₄	—	2	2	no	—
1404	C₂²×C₄	—	2	2	no	—
1405	C₂²×C₄	—	2	2	no	—
1406	C₂²×C₄	—	2	2	no	—
1407	C₂²×C₄	—	2	2	no	—
1408	C₂²×C₄	—	4	1	no	—
1409	C₂²×C₄	—	4	1	no	—
1410	C₂²×C₄	—	4	1	no	—
1411	C₂²×C₄	—	4	1	no	—
1412	C₂²×C₄	—	4	1	no	—
1413	C₂²×C₄	—	4	1	no	—
1414	C₂²×C₄	—	4	1	no	—
1415	C₂²×C₄	—	4	1	no	—
1416	C₂²×C₄	—	4	1	no	—
1417	C₂²×C₄	—	4	1	no	—
1418	C₂²×C₄	—	4	1	no	—
1419	C₂²×C₄	—	4	1	no	—
1420	C₂²×C₄	—	4	1	no	—
1421	C₂²×C₄	—	4	1	no	—
1422	C₂²×C₄	—	4	1	no	—
1423	C₂²×C₄	—	4	1	no	—
1424	C₂²×C₄	—	4	1	no	—
1425	C₂²×C₄	—	4	1	no	—
1426	C₂²×C₄	—	4	16	no	—
1427	C₂²×C₄	—	4	4	no	—
1428	C₂²×C₄	—	4	4	no	—
1429	C₂²×C₄	—	4	4	no	—
1430	C₂²×C₄	—	4	16	no	—
1431	C₂²×C₄	—	4	16	no	—
1432	C₂²×C₄	C₂×#41	1	4	yes	—
1433	C₂²×C₄	C₂×#41	1	4	yes	—
1434	C₂²×C₄	2₋¹⁺⁴	1	4	yes	—
1435	C₂²×C₄	2₋¹⁺⁴	1	4	yes	—
1436	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1441	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1442	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1443	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1444	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1445	C₂²×C₄	C₂⁵	1	4	yes	—
1446	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1447	C₂²×C₄	C₂⁵	1	4	yes	—
1448	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1452	C₂²×C₄	C₂⁵	1	4	yes	—
1453	C₂²×C₄	C₂⁵	1	4	yes	—
1454	C₂²×C₄	C₂⁵	1	4	yes	—
1455	C₂²×C₄	C₂⁵	1	4	yes	—
1456	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1457	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1458	C₂²×C₄	C₂⁵	1	4	yes	—
1459	C₂²×C₄	C₂⁵	1	4	yes	—
1460	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1461	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1462	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1463	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1464	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1465	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1466	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1467	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1468	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1469	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1470	C₄⋊C₄	—	2	4	no	—
1471	C₄⋊C₄	—	2	2	no	—
1472	C₄⋊C₄	—	2	2	no	—
1473	C₄⋊C₄	—	2	4	no	—
1474	C₄⋊C₄	—	2	4	no	—
1475	C₄⋊C₄	—	2	2	no	—
1476	C₄⋊C₄	—	2	2	no	—
1477	C₄⋊C₄	—	2	2	no	—
1478	C₄⋊C₄	—	2	8	no	—
1479	C₄⋊C₄	—	2	8	no	—
1480	C₄⋊C₄	—	2	8	no	—
1481	C₄⋊C₄	—	2	8	no	—
1482	C₄⋊C₄	—	2	4	no	—
1483	C₄⋊C₄	—	2	4	no	—
1484	C₄⋊C₄	—	2	4	no	—
1485	C₄⋊C₄	—	2	4	no	—
1486	C₄⋊C₄	—	2	4	no	—
1487	C₄⋊C₄	—	2	4	no	—
1488	C₄⋊C₄	—	2	4	no	—
1489	C₄⋊C₄	—	2	4	no	—
1490	C₄⋊C₄	—	2	2	no	—
1491	C₄⋊C₄	—	2	2	no	—
1492	C₄⋊C₄	—	2	2	no	—
1493	C₄⋊C₄	—	2	2	no	—
1494	C₄⋊C₄	—	2	4	no	—
1495	C₄⋊C₄	—	2	4	no	—
1496	C₄⋊C₄	—	2	8	no	—
1497	C₄⋊C₄	—	2	8	no	—
1498	C₄⋊C₄	—	2	4	no	—
1499	C₄⋊C₄	—	2	4	no	—
1500	C₄⋊C₄	—	2	4	no	—
1501	C₄⋊C₄	—	2	4	no	—
1502	C₄⋊C₄	—	2	4	no	—
1503	C₄⋊C₄	—	2	4	no	—
1504	C₄⋊C₄	—	2	4	no	—
1505	C₄⋊C₄	—	4	4	no	—
1506	C₄⋊C₄	—	4	4	no	—
1507	C₄⋊C₄	—	4	1	no	—
1508	C₄⋊C₄	—	4	1	no	—
1509	C₄⋊C₄	—	4	1	no	—
1510	C₄⋊C₄	—	4	1	no	—
1511	C₄⋊C₄	—	4	1	no	—
1512	C₄⋊C₄	—	4	1	no	—
1513	C₄⋊C₄	—	4	1	no	—
1514	C₄⋊C₄	—	4	1	no	—
1515	C₄⋊C₄	—	4	1	no	—
1516	C₄⋊C₄	—	4	1	no	—
1517	C₄⋊C₄	—	4	1	no	—
1518	C₄⋊C₄	—	4	1	no	—
1519	C₄⋊C₄	—	4	4	no	—
1520	C₄⋊C₄	—	4	4	no	—
1521	C₄⋊C₄	—	4	4	no	—
1522	C₄⋊C₄	—	4	4	no	—
1523	C₄⋊C₄	—	4	4	no	—
1524	C₄⋊C₄	—	4	4	no	—
1525	C₄⋊C₄	—	4	4	no	—
1526	C₄⋊C₄	—	4	4	no	—
1527	C₄⋊C₄	—	4	4	no	—
1528	C₄⋊C₄	—	4	4	no	—
1529	C₄⋊C₄	—	4	4	no	—
1530	C₄⋊C₄	—	4	4	no	—
1531	C₄⋊C₄	—	4	4	no	—
1532	C₄⋊C₄	—	4	4	no	—
1533	C₄⋊C₄	—	4	4	no	—
1534	C₄⋊C₄	—	4	4	no	—
1535	C₄⋊C₄	—	4	4	no	—
1536	C₄⋊C₄	—	4	4	no	—
1537	C₄⋊C₄	—	4	4	no	—
1538	C₄⋊C₄	—	4	4	no	—
1539	C₄⋊C₄	—	4	4	no	—
1540	C₄⋊C₄	C₂×#41	1	4	yes	—
1541	C₂²⋊C₄	—	2	8	no	—
1542	C₂²⋊C₄	—	2	8	no	—
1543	C₂²⋊C₄	—	2	2	no	—
1544	C₂²⋊C₄	—	2	2	no	—
1545	C₂²⋊C₄	—	2	8	no	—
1546	C₂²⋊C₄	—	2	8	no	—
1547	C₂²⋊C₄	—	2	2	no	—
1548	C₂²⋊C₄	—	2	2	no	—
1549	C₂²⋊C₄	—	2	2	no	—
1550	C₂²⋊C₄	—	2	2	no	—
1551	C₂²⋊C₄	—	2	8	no	—
1552	C₂²⋊C₄	—	2	8	no	—
1553	C₂²⋊C₄	—	2	2	no	—
1554	C₂²⋊C₄	—	2	2	no	—
1555	C₂²⋊C₄	—	2	2	no	—
1556	C₂²⋊C₄	—	2	2	no	—
1557	C₂²⋊C₄	—	2	2	no	—
1558	C₂²⋊C₄	—	2	2	no	—
1559	C₂²⋊C₄	—	2	2	no	—
1560	C₂²⋊C₄	—	2	2	no	—
1561	C₂²⋊C₄	—	4	4	no	—
1562	C₂²⋊C₄	—	4	4	no	—
1563	C₂²⋊C₄	—	4	1	no	—
1564	C₂²⋊C₄	—	4	1	no	—
1565	C₂²⋊C₄	—	4	1	no	—
1566	C₂²⋊C₄	—	4	1	no	—
1567	C₂²⋊C₄	—	4	1	no	—
1568	C₂²⋊C₄	—	4	1	no	—
1569	C₂²⋊C₄	—	4	4	no	—
1570	C₂²⋊C₄	—	4	4	no	—
1571	C₂²⋊C₄	—	4	4	no	—
1572	C₂²⋊C₄	—	4	1	no	—
1573	C₂²⋊C₄	—	4	1	no	—
1574	C₂²⋊C₄	—	4	1	no	—
1575	C₂²⋊C₄	—	4	1	no	—
1576	C₂²⋊C₄	—	4	1	no	—
1577	C₂²⋊C₄	—	4	1	no	—
1578	C₂²⋊C₄	—	4	1	no	—
1579	C₂²⋊C₄	—	4	1	no	—
1580	C₂²⋊C₄	—	4	1	no	—
1581	C₂²⋊C₄	—	4	1	no	—
1582	C₂²⋊C₄	—	4	1	no	—
1583	C₂²⋊C₄	—	4	1	no	—
1584	C₂²⋊C₄	—	4	4	no	—
1585	C₂²⋊C₄	—	4	4	no	—
1586	C₂²⋊C₄	—	4	4	no	—
1587	C₂²⋊C₄	—	4	4	no	—
1588	C₂²⋊C₄	—	4	4	no	—
1589	C₂²⋊C₄	—	4	4	no	—
1590	C₂²⋊C₄	—	4	4	no	—
1591	C₂²⋊C₄	—	4	4	no	—
1592	C₂²⋊C₄	C₂×#41	1	4	yes	—
1593	C₂²⋊C₄	C₂×#41	1	4	yes	—
1594	C₄²	—	2	2	no	—
1595	C₄²	—	2	8	no	—
1596	C₄²	—	2	8	no	—
1597	C₄²	—	2	8	no	—
1598	C₄²	—	2	2	no	—
1599	C₄²	—	2	2	no	—
1600	C₄²	—	2	2	no	—
1601	C₄²	—	2	2	no	—
1602	C₄²	—	2	2	no	—
1603	C₄²	—	2	2	no	—
1604	C₄²	—	2	2	no	—
1605	C₄²	—	2	2	no	—
1606	C₄²	—	2	2	no	—
1607	C₄²	—	2	2	no	—
1608	C₄²	—	2	2	no	—
1609	C₄²	—	2	2	no	—
1610	C₄²	—	2	2	no	—
1611	C₄²	—	2	2	no	—
1612	C₄²	—	2	2	no	—
1613	C₄²	—	2	2	no	—
1614	C₄²	—	2	2	no	—
1615	C₄²	—	2	2	no	—
1616	C₄²	—	2	2	no	—
1617	C₄²	—	2	2	no	—
1618	C₄²	—	2	2	no	—
1619	C₄²	—	2	2	no	—
1620	C₄²	—	2	2	no	—
1621	C₄²	—	2	2	no	—
1622	C₄²	—	2	2	no	—
1623	C₄²	—	4	1	no	—
1624	C₄²	—	4	1	no	—
1625	C₄²	—	4	1	no	—
1626	C₄²	—	4	1	no	—
1627	C₄²	—	4	1	no	—
1628	C₄²	—	4	1	no	—
1629	C₄²	—	4	4	no	—
1630	C₄²	—	4	4	no	—
1631	C₄²	—	4	4	no	—
1632	C₄²	—	4	4	no	—
1633	C₄²	—	4	4	no	—
1634	C₄²	—	4	4	no	—
1635	C₄²	—	4	4	no	—
1636	C₄²	—	4	4	no	—
1637	C₄²	C₂×#41	1	4	yes	—
1638	C₄²	H(5,𝔽₂)	1	4	yes	—
1639	C₂³	—	2	1	no	—
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	2	1	no	—
1648	C₂³	—	2	1	no	—
1649	C₂³	—	2	1	no	—
1650	C₂³	—	2	1	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	2	1	no	—
1654	C₂³	—	2	1	no	—
1655	C₂³	—	2	1	no	—
1656	C₂³	—	2	1	no	—
1657	C₂³	—	2	1	no	—
1658	C₂³	—	2	1	no	—
1659	C₂³	—	2	1	no	—
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	2	1	no	—
1663	C₂³	—	2	1	no	—
1664	C₂³	—	2	1	no	—
1665	C₂³	—	2	1	no	—
1666	C₂³	—	2	1	no	—
1667	C₂³	—	2	1	no	—
1668	C₂³	—	2	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	4	4	no	—
1671	C₂³	—	4	4	no	—
1672	C₂³	—	4	4	no	—
1673	C₂³	—	4	4	no	—
1674	C₂³	—	4	4	no	—
1675	C₂³	—	4	4	no	—
1676	C₂³	—	4	4	no	—
1677	C₂³	C₂²×#41	1	2	yes	—
1678	C₂³	C₂²×#41	1	2	yes	—
1679	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1680	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1681	C₂³	C₂⁶	1	1	yes	characteristic
1682	Q₈	—	4	4	no	—
1683	Q₈	—	4	8	no	—
1684	Q₈	—	4	8	no	—
1685	Q₈	—	4	8	no	—
1686	Q₈	—	4	8	no	—
1687	Q₈	—	8	8	no	—
1688	Q₈	—	8	8	no	—
1689	D₄	—	4	4	no	—
1690	D₄	—	4	4	no	—
1691	D₄	—	4	4	no	—
1692	D₄	—	4	4	no	—
1693	D₄	—	4	4	no	—
1694	D₄	—	4	4	no	—
1695	D₄	—	4	4	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	8	no	—
1709	C₂×C₄	—	2	8	no	—
1710	C₂×C₄	—	2	8	no	—
1711	C₂×C₄	—	2	8	no	—
1712	C₂×C₄	—	2	4	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	4	no	—
1716	C₂×C₄	—	2	4	no	—
1717	C₂×C₄	—	2	4	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	4	no	—
1732	C₂×C₄	—	2	4	no	—
1733	C₂×C₄	—	2	4	no	—
1734	C₂×C₄	—	2	4	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	4	no	—
1743	C₂×C₄	—	2	4	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	4	no	—
1747	C₂×C₄	—	2	4	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	4	no	—
1763	C₂×C₄	—	2	4	no	—
1764	C₂×C₄	—	2	4	no	—
1765	C₂×C₄	—	2	4	no	—
1766	C₂×C₄	—	2	4	no	—
1767	C₂×C₄	—	2	4	no	—
1768	C₂×C₄	—	2	4	no	—
1769	C₂×C₄	—	2	4	no	—
1770	C₂×C₄	—	2	4	no	—
1771	C₂×C₄	—	2	4	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	4	no	—
1776	C₂×C₄	—	2	4	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	2	1	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	4	4	no	—
1788	C₂×C₄	—	4	4	no	—
1789	C₂×C₄	—	4	4	no	—
1790	C₂×C₄	—	4	4	no	—
1791	C₂×C₄	—	4	4	no	—
1792	C₂×C₄	—	4	4	no	—
1793	C₂×C₄	—	4	4	no	—
1794	C₂×C₄	—	4	4	no	—
1795	C₂×C₄	—	4	4	no	—
1796	C₂×C₄	—	4	4	no	—
1797	C₂×C₄	—	4	4	no	—
1798	C₂×C₄	—	4	4	no	—
1799	C₂×C₄	—	4	4	no	—
1800	C₂×C₄	—	4	4	no	—
1801	C₂×C₄	—	4	4	no	—
1802	C₂×C₄	—	4	4	no	—
1803	C₂×C₄	—	4	4	no	—
1804	C₂×C₄	—	4	4	no	—
1805	C₂×C₄	—	4	4	no	—
1806	C₂×C₄	—	4	4	no	—
1807	C₂×C₄	—	8	8	no	—
1808	C₂×C₄	C₂²×#41	1	2	yes	—
1809	C₂×C₄	C₂²×#41	1	2	yes	—
1810	C₂×C₄	C₂²×#41	1	2	yes	—
1811	C₂×C₄	C₂²×#41	1	2	yes	—
1812	C₂×C₄	C₂²×#41	1	2	yes	—
1813	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1814	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1815	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1816	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1817	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1818	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1819	C₂×C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1820	C₂×C₄	#585	1	2	yes	—
1821	C₂×C₄	#585	1	2	yes	—
1822	C₂×C₄	#585	1	2	yes	—
1823	C₂²	—	2	2	no	—
1824	C₂²	—	2	2	no	—
1825	C₂²	—	2	2	no	—
1826	C₂²	—	2	2	no	—
1827	C₂²	—	2	2	no	—
1828	C₂²	—	2	2	no	—
1829	C₂²	—	2	2	no	—
1830	C₂²	—	2	2	no	—
1831	C₂²	—	2	2	no	—
1832	C₂²	—	2	2	no	—
1833	C₂²	—	2	2	no	—
1834	C₂²	—	2	2	no	—
1835	C₂²	—	4	16	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	C₂³×#41	1	1	yes	characteristic
1860	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1861	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1862	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1863	C₂²	C₂×#585	1	1	yes	characteristic
1864	C₂²	C₂×#585	1	1	yes	characteristic
1865	C₂²	C₂×#585	1	1	yes	characteristic
1866	C₄	—	2	2	no	—
1867	C₄	—	2	2	no	—
1868	C₄	—	2	2	no	—
1869	C₄	—	2	2	no	—
1870	C₄	—	2	2	no	—
1871	C₄	—	2	2	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	4	4	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	4	no	—
1883	C₄	—	4	4	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	4	no	—
1887	C₄	—	4	4	no	—
1888	C₄	—	4	1	no	—
1889	C₄	—	4	1	no	—
1890	C₄	—	4	4	no	—
1891	C₄	—	4	4	no	—
1892	C₄	—	4	1	no	—
1893	C₄	—	4	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	4	no	—
1897	C₄	#3520	1	4	yes	—
1898	C₄	#3540	1	4	yes	—
1899	C₄	#3541	1	4	yes	—
1900	C₂	—	4	2	no	—
1901	C₂	—	4	2	no	—
1902	C₂	—	4	2	no	—
1903	C₂	—	4	2	no	—
1904	C₂	—	8	1	no	—
1905	C₂	C₂×#3541	1	1	yes	characteristic
1906	C₂	C₂×#3540	1	1	yes	characteristic
1907	C₂	C₂×#3520	1	1	yes	characteristic
1908	C₂	#62805	1	1	yes	characteristic
1909	C₂	#62815	1	1	yes	characteristic
1910	C₂	#62837	1	1	yes	characteristic
1911	C₂	#62838	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂×#525	C₂²
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. #59768	C₂	semidirect
2. #59593	C₂	semidirect
3. #59551	C₂	semidirect
4. #59383	C₂	semidirect
5. #45667	C₂	semidirect
6. #45664	C₂	semidirect
7. #45624	C₂	semidirect
8. #45618	C₂	semidirect
9. #40199	C₂	semidirect
10. #40196	C₂	semidirect
11. #39911	C₂	semidirect
12. #39908	C₂	semidirect
13. #39695	C₂	semidirect
14. #39564	C₂	semidirect
15. #39244	C₂	semidirect
16. #39214	C₂	semidirect
17. #39007	C₂	semidirect
18. #38999	C₂	semidirect
19. #37859	C₂	semidirect
21. #37509	C₂	semidirect
22. #37408	C₂	semidirect
23. #37407	C₂	semidirect
24. #36625	C₂	semidirect
25. #36625	C₂	semidirect
26. #36210	C₂	semidirect
27. #36209	C₂	semidirect
28. #36194	C₂	semidirect
29. #36188	C₂	semidirect
30. #36151	C₂	semidirect
31. #36151	C₂	semidirect
32. #36129	C₂	semidirect
33. #36129	C₂	semidirect
34. #35297	C₂	semidirect
35. #35291	C₂	semidirect
36. #35283	C₂	semidirect
37. #35279	C₂	semidirect
38. #34463	C₂	semidirect
43. C₂×#533	C₂²	semidirect
44. C₂²×C₄⋊Q₈	C₂²	semidirect
48. #2868	C₂²	semidirect
49. #2862	C₂²	semidirect
50. #2862	C₂²	semidirect
51. #2859	C₂²	semidirect
60. #2857	C₂²	semidirect
61. #2857	C₂²	semidirect
62. #2857	C₂²	semidirect
63. #2857	C₂²	semidirect
79. #2805	C₂²	semidirect
81. #2794	C₂²	semidirect
83. #2787	C₂²	semidirect
84. #2786	C₂²	semidirect
87. #2767	C₂²	semidirect
88. #2767	C₂²	semidirect
93. #2762	C₂²	semidirect
94. #2759	C₂²	semidirect
95. #2758	C₂²	semidirect
97. #2755	C₂²	semidirect
98. #2754	C₂²	semidirect
101. #2747	C₂²	semidirect
110. #2655	C₂²	semidirect
113. #2650	C₂²	semidirect
114. #2647	C₂²	semidirect
115. #2645	C₂²	semidirect
118. #2628	C₂²	semidirect
120. #2625	C₂²	semidirect
123. #2596	C₂²	semidirect
124. #2595	C₂²	semidirect
127. #2588	C₂²	semidirect
128. #2586	C₂²	semidirect
129. #2584	C₂²	semidirect
130. #2581	C₂²	semidirect
134. #2571	C₂²	semidirect
135. #2568	C₂²	semidirect
136. #2568	C₂²	semidirect
137. #2567	C₂²	semidirect
144. #2550	C₂²	semidirect
145. #2550	C₂²	semidirect
156. #2520	C₂²	semidirect
157. #2514	C₂²	semidirect
158. #2514	C₂²	semidirect
159. #2511	C₂²	semidirect
160. #2511	C₂²	semidirect
161. #2509	C₂²	semidirect
162. #2509	C₂²	semidirect
163. #2509	C₂²	semidirect
164. #2508	C₂²	semidirect
165. #2508	C₂²	semidirect
166. #2508	C₂²	semidirect
168. #2499	C₂²	semidirect
170. #2497	C₂²	semidirect
173. #2496	C₂²	semidirect
174. #2496	C₂²	semidirect
178. #2495	C₂²	semidirect
181. #2494	C₂²	semidirect
187. #2492	C₂²	semidirect
192. #2489	C₂²	semidirect
193. #2489	C₂²	semidirect
194. #2489	C₂²	semidirect
196. #2487	C₂²	semidirect
201. #2485	C₂²	semidirect
204. #2453	C₂²	semidirect
205. #2453	C₂²	semidirect
206. #2453	C₂²	semidirect
207. #2453	C₂²	semidirect
208. #2453	C₂²	semidirect
209. #2451	C₂²	semidirect
210. #2451	C₂²	semidirect
211. #2451	C₂²	semidirect
212. #2451	C₂²	semidirect
213. #2446	C₂²	semidirect
214. #2446	C₂²	semidirect
215. #2442	C₂²	semidirect
216. #2442	C₂²	semidirect
220. #2439	C₂²	semidirect
228. #2421	C₂²	semidirect
229. #2421	C₂²	semidirect
230. #2421	C₂²	semidirect
239. #2415	C₂²	semidirect
243. #2409	C₂²	semidirect
246. #2373	C₂²	semidirect
247. #2370	C₂²	semidirect
248. #2369	C₂²	semidirect
249. #2365	C₂²	semidirect
250. #2365	C₂²	semidirect
254. #2362	C₂²	semidirect
255. #2362	C₂²	semidirect
256. #2360	C₂²	semidirect
257. #2360	C₂²	semidirect
258. #2356	C₂²	semidirect
259. #2355	C₂²	semidirect
260. #2355	C₂²	semidirect
264. #2351	C₂²	semidirect
265. #2351	C₂²	semidirect
266. #2347	C₂²	semidirect
268. #2346	C₂²	semidirect
269. Q₈×C₂²⋊C₄	C₂²	semidirect
270. Q₈×C₂²⋊C₄	C₂²	semidirect
273. #2334	C₂²	semidirect
274. #2331	C₂²	semidirect
277. #2323	C₂²	semidirect
278. #2320	C₂²	semidirect
279. #2320	C₂²	semidirect
280. #2317	C₂²	semidirect
283. C₄×C₄⋊Q₈	C₂²	semidirect
284. C₄×C₄⋊Q₈	C₂²	semidirect
285. C₄×C₄⋊Q₈	C₂²	semidirect
286. C₄×C₄⋊Q₈	C₂²	semidirect
321. #2285	C₂²	semidirect
322. #2285	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#59768	2
#59593	2
#59551	2
#59383	2
#45667	2
#45664	2
#45624	2
#45618	2
#40199	2
#40196	2
#39911	2
#39908	2
#39695	2
#39564	2
#39244	2
#39214	2
#39007	2
#38999	2
#37859	2
#37844	2
#37509	2
#37408	2
#37407	2
#36625	2
#36210	2
#36209	2
#36194	2
#36188	2
#36151	2
#36129	2
#35297	2
#35291	2
#35283	2
#35279	2
#34463	2
C₄×#525	2