Subgroups — #7712485

Order 512.

5376 conjugacy classes of subgroups.

The subgroup lattice has 1951 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59700	C₂	1	2	yes	maximal, complemented
2	#59484	C₂	1	2	yes	maximal, complemented
3	#59104	C₂	1	2	yes	maximal, complemented
4	#59103	C₂	1	2	yes	maximal, complemented
5	#46074	C₂	1	2	yes	maximal, complemented
6	#46073	C₂	1	2	yes	maximal, complemented
7	#45718	C₂	1	2	yes	maximal, complemented
8	#45701	C₂	1	2	yes	maximal, complemented
9	#40128	C₂	1	2	yes	maximal, complemented
10	#40056	C₂	1	2	yes	maximal, complemented
11	#40032	C₂	1	2	yes	maximal, complemented
12	#39960	C₂	1	2	yes	maximal, complemented
13	#39248	C₂	1	2	yes	maximal, complemented
14	#39212	C₂	1	2	yes	maximal, complemented
15	#39070	C₂	1	2	yes	maximal, complemented
16	#39069	C₂	1	2	yes	maximal, complemented
17	#39034	C₂	1	2	yes	maximal, complemented
18	#39020	C₂	1	2	yes	maximal, complemented
19	#38936	C₂	1	2	yes	maximal, complemented
20	#38902	C₂	1	2	yes	maximal, complemented
21	#37572	C₂	1	2	yes	maximal, complemented
22	#37371	C₂	1	2	yes	maximal, complemented
23	#37361	C₂	1	2	yes	maximal, complemented
24	#36639	C₂	1	1	yes	maximal, characteristic, complemented
25	#36631	C₂	1	1	yes	maximal, characteristic, complemented
26	#36609	C₂	1	1	yes	maximal, characteristic, complemented
27	#36609	C₂	1	1	yes	maximal, characteristic, complemented
28	#36151	C₂	1	1	yes	maximal, characteristic, complemented
29	#36150	C₂	1	1	yes	maximal, characteristic, complemented
30	#36129	C₂	1	1	yes	maximal, characteristic, complemented
31	#36122	C₂	1	1	yes	maximal, characteristic, complemented
32	#36121	C₂	1	1	yes	maximal, characteristic, complemented
33	#36121	C₂	1	1	yes	maximal, characteristic, complemented
34	#35291	C₂	1	1	yes	maximal, characteristic, complemented
35	#35289	C₂	1	1	yes	maximal, characteristic, complemented
36	#35288	C₂	1	1	yes	maximal, characteristic, complemented
37	#35285	C₂	1	1	yes	maximal, characteristic, complemented
38	#34495	C₂	1	2	yes	maximal, complemented
39	C₄×#529	C₂	1	1	yes	maximal, characteristic, complemented
40	C₂×#548	C₂²	1	2	yes	complemented
41	C₂×#546	C₂²	1	2	yes	—
42	C₂×#546	C₂²	1	2	yes	—
43	C₂×#533	C₂²	1	1	yes	characteristic
44	C₂×#533	C₂²	1	1	yes	characteristic, complemented
45	C₂×#532	C₂²	1	1	yes	characteristic
46	C₂×#532	C₂²	1	1	yes	characteristic
47	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#127	C₂²	1	1	yes	characteristic
49	C₂×#529	C₂²	1	1	yes	characteristic
50	C₂×#529	C₂²	1	2	yes	complemented
51	#2862	C₂²	1	1	yes	characteristic, complemented
52	#2862	C₂²	1	1	yes	characteristic, complemented
53	#2862	C₂²	1	1	yes	characteristic, complemented
54	#2861	C₂²	1	2	yes	complemented
55	#2861	C₂²	1	2	yes	complemented
56	#2861	C₂²	1	2	yes	complemented
57	#2860	C₂²	1	2	yes	complemented
58	#2860	C₂²	1	2	yes	complemented
59	#2859	C₂²	1	1	yes	characteristic, complemented
60	#2858	C₂²	1	1	yes	characteristic
61	#2858	C₂²	1	1	yes	characteristic
62	#2858	C₂²	1	1	yes	characteristic
63	#2858	C₂²	1	1	yes	characteristic
64	#2858	C₂²	1	1	yes	characteristic
65	#2858	C₂²	1	1	yes	characteristic
66	#2857	C₂²	1	1	yes	characteristic
67	#2857	C₂²	1	1	yes	characteristic
68	#2857	C₂²	1	1	yes	characteristic, complemented
69	#2857	C₂²	1	1	yes	characteristic, complemented
70	#2856	C₂²	1	1	yes	characteristic
71	#2856	C₂²	1	1	yes	characteristic
72	#2854	C₂²	1	2	yes	complemented
73	#2854	C₂²	1	2	yes	complemented
74	#2850	C₂²	1	2	yes	complemented
75	#2850	C₂²	1	2	yes	complemented
76	#2850	C₂²	1	2	yes	complemented
77	#2850	C₂²	1	2	yes	complemented
78	#2850	C₂²	1	2	yes	complemented
79	#2837	C₂²	1	4	yes	complemented
80	#2832	C₂²	1	4	yes	complemented
81	#2808	C₂²	1	4	yes	complemented
82	#2800	C₂²	1	4	yes	complemented
83	#2797	C₂²	1	4	yes	complemented
84	#2785	C₂²	1	4	yes	complemented
85	#2781	C₂²	1	4	yes	complemented
86	#2781	C₂²	1	4	yes	complemented
87	#2778	C₂²	1	4	yes	complemented
88	#2778	C₂²	1	4	yes	complemented
89	#2756	C₂²	1	4	yes	complemented
90	#2756	C₂²	1	4	yes	complemented
91	#2753	C₂²	1	4	yes	complemented
92	#2753	C₂²	1	4	yes	complemented
93	#2751	C₂²	1	4	yes	complemented
94	#2750	C₂²	1	4	yes	complemented
95	#2741	C₂²	1	4	yes	complemented
96	#2741	C₂²	1	4	yes	complemented
97	#2740	C₂²	1	4	yes	complemented
98	#2736	C₂²	1	4	yes	—
99	#2736	C₂²	1	4	yes	—
100	#2735	C₂²	1	4	yes	—
101	#2735	C₂²	1	4	yes	—
102	#2710	C₂²	1	4	yes	complemented
103	#2708	C₂²	1	4	yes	complemented
104	#2703	C₂²	1	4	yes	complemented
105	#2697	C₂²	1	4	yes	—
106	#2696	C₂²	1	4	yes	complemented
107	#2694	C₂²	1	4	yes	complemented
108	#2688	C₂²	1	4	yes	complemented
109	#2686	C₂²	1	4	yes	complemented
110	#2684	C₂²	1	4	yes	—
111	#2684	C₂²	1	4	yes	—
112	#2668	C₂²	1	4	yes	—
113	#2663	C₂²	1	4	yes	complemented
114	#2653	C₂²	1	4	yes	complemented
115	#2653	C₂²	1	4	yes	complemented
116	#2649	C₂²	1	4	yes	complemented
117	#2645	C₂²	1	2	yes	complemented
118	#2644	C₂²	1	2	yes	complemented
119	#2641	C₂²	1	2	yes	—
120	#2641	C₂²	1	2	yes	—
121	#2640	C₂²	1	2	yes	complemented
122	#2640	C₂²	1	2	yes	complemented
123	#2625	C₂²	1	2	yes	—
124	#2624	C₂²	1	2	yes	complemented
125	#2602	C₂²	1	4	yes	complemented
126	#2595	C₂²	1	4	yes	complemented
127	#2592	C₂²	1	2	yes	complemented
128	#2592	C₂²	1	2	yes	complemented
129	#2592	C₂²	1	2	yes	complemented
130	#2592	C₂²	1	2	yes	complemented
131	#2580	C₂²	1	2	yes	complemented
132	#2580	C₂²	1	2	yes	complemented
133	#2578	C₂²	1	4	yes	complemented
134	#2572	C₂²	1	4	yes	complemented
135	#2563	C₂²	1	2	yes	complemented
136	#2563	C₂²	1	2	yes	complemented
137	#2561	C₂²	1	4	yes	—
138	#2560	C₂²	1	4	yes	complemented
139	#2559	C₂²	1	4	yes	complemented
140	#2553	C₂²	1	4	yes	complemented
141	#2550	C₂²	1	2	yes	complemented
142	#2548	C₂²	1	2	yes	—
143	#2548	C₂²	1	2	yes	—
144	#2548	C₂²	1	2	yes	—
145	#2548	C₂²	1	2	yes	—
146	#2547	C₂²	1	2	yes	complemented
147	#2547	C₂²	1	2	yes	complemented
148	#2545	C₂²	1	2	yes	complemented
149	#2544	C₂²	1	2	yes	—
150	#2544	C₂²	1	2	yes	—
151	#2540	C₂²	1	2	yes	complemented
152	#2536	C₂²	1	2	yes	—
153	#2518	C₂²	1	4	yes	complemented
154	#2514	C₂²	1	2	yes	complemented
155	#2513	C₂²	1	2	yes	complemented
156	#2513	C₂²	1	2	yes	complemented
157	#2513	C₂²	1	2	yes	complemented
158	#2513	C₂²	1	2	yes	complemented
159	#2513	C₂²	1	2	yes	complemented
160	#2509	C₂²	1	2	yes	complemented
161	#2508	C₂²	1	2	yes	complemented
162	#2504	C₂²	1	2	yes	complemented
163	#2504	C₂²	1	2	yes	complemented
164	#2495	C₂²	1	2	yes	—
165	#2494	C₂²	1	2	yes	—
166	#2492	C₂²	1	2	yes	—
167	#2491	C₂²	1	2	yes	complemented
168	#2491	C₂²	1	2	yes	complemented
169	#2490	C₂²	1	2	yes	complemented
170	#2490	C₂²	1	2	yes	complemented
171	#2489	C₂²	1	2	yes	—
172	#2489	C₂²	1	2	yes	—
173	#2489	C₂²	1	2	yes	complemented
174	#2480	C₂²	1	4	yes	—
175	#2480	C₂²	1	4	yes	—
176	#2477	C₂²	1	4	yes	complemented
177	#2470	C₂²	1	4	yes	complemented
178	#2467	C₂²	1	4	yes	complemented
179	#2464	C₂²	1	4	yes	complemented
180	#2459	C₂²	1	4	yes	complemented
181	#2454	C₂²	1	2	yes	complemented
182	#2454	C₂²	1	2	yes	complemented
183	#2453	C₂²	1	2	yes	complemented
184	#2453	C₂²	1	2	yes	complemented
185	#2453	C₂²	1	2	yes	complemented
186	#2452	C₂²	1	2	yes	complemented
187	#2452	C₂²	1	2	yes	complemented
188	#2451	C₂²	1	2	yes	complemented
189	#2448	C₂²	1	2	yes	complemented
190	#2448	C₂²	1	2	yes	complemented
191	#2448	C₂²	1	2	yes	complemented
192	#2448	C₂²	1	2	yes	complemented
193	#2448	C₂²	1	2	yes	complemented
194	#2448	C₂²	1	2	yes	complemented
195	#2447	C₂²	1	2	yes	complemented
196	#2447	C₂²	1	2	yes	complemented
197	#2447	C₂²	1	2	yes	complemented
198	#2447	C₂²	1	2	yes	complemented
199	#2447	C₂²	1	2	yes	complemented
200	#2446	C₂²	1	2	yes	complemented
201	#2445	C₂²	1	2	yes	—
202	#2445	C₂²	1	2	yes	—
203	#2445	C₂²	1	2	yes	—
204	#2445	C₂²	1	2	yes	—
205	#2442	C₂²	1	2	yes	complemented
206	#2439	C₂²	1	2	yes	—
207	#2436	C₂²	1	2	yes	complemented
208	#2436	C₂²	1	2	yes	complemented
209	#2436	C₂²	1	2	yes	complemented
210	#2435	C₂²	1	2	yes	—
211	#2435	C₂²	1	2	yes	—
212	#2435	C₂²	1	2	yes	—
213	#2435	C₂²	1	2	yes	—
214	#2435	C₂²	1	2	yes	—
215	#2435	C₂²	1	2	yes	—
216	#2432	C₂²	1	2	yes	complemented
217	#2431	C₂²	1	2	yes	—
218	#2431	C₂²	1	2	yes	—
219	#2429	C₂²	1	2	yes	—
220	#2428	C₂²	1	2	yes	—
221	#2428	C₂²	1	2	yes	—
222	#2428	C₂²	1	2	yes	—
223	#2428	C₂²	1	2	yes	—
224	#2427	C₂²	1	2	yes	complemented
225	#2427	C₂²	1	2	yes	complemented
226	#2426	C₂²	1	2	yes	complemented
227	#2426	C₂²	1	2	yes	complemented
228	#2426	C₂²	1	2	yes	complemented
229	#2421	C₂²	1	2	yes	—
230	#2421	C₂²	1	2	yes	—
231	#2421	C₂²	1	2	yes	complemented
232	#2420	C₂²	1	4	yes	complemented
233	#2420	C₂²	1	2	yes	complemented
234	#2418	C₂²	1	4	yes	—
235	#2417	C₂²	1	2	yes	—
236	#2416	C₂²	1	2	yes	complemented
237	#2416	C₂²	1	2	yes	complemented
238	#2415	C₂²	1	2	yes	—
239	#2415	C₂²	1	2	yes	—
240	#2414	C₂²	1	2	yes	complemented
241	#2409	C₂²	1	2	yes	—
242	#2408	C₂²	1	2	yes	—
243	#2408	C₂²	1	2	yes	—
244	#2408	C₂²	1	2	yes	—
245	#2408	C₂²	1	2	yes	—
246	#2407	C₂²	1	2	yes	complemented
247	#2376	C₂²	1	4	yes	complemented
248	#2375	C₂²	1	4	yes	—
249	#2367	C₂²	1	2	yes	complemented
250	#2367	C₂²	1	2	yes	complemented
251	#2367	C₂²	1	2	yes	complemented
252	#2367	C₂²	1	2	yes	complemented
253	#2367	C₂²	1	2	yes	complemented
254	#2363	C₂²	1	4	yes	complemented
255	#2363	C₂²	1	2	yes	complemented
256	#2362	C₂²	1	2	yes	—
257	#2362	C₂²	1	2	yes	complemented
258	#2361	C₂²	1	2	yes	complemented
259	#2361	C₂²	1	2	yes	complemented
260	#2360	C₂²	1	2	yes	complemented
261	#2357	C₂²	1	2	yes	complemented
262	#2357	C₂²	1	2	yes	complemented
263	#2352	C₂²	1	2	yes	—
264	#2351	C₂²	1	2	yes	complemented
265	#2342	C₂²	1	4	yes	—
266	#2341	C₂²	1	2	yes	complemented
267	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
268	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
269	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
270	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
271	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
272	#2335	C₂²	1	4	yes	complemented
273	#2333	C₂²	1	4	yes	complemented
274	#2324	C₂²	1	2	yes	complemented
275	#2323	C₂²	1	2	yes	—
276	#2321	C₂²	1	4	yes	—
277	#2320	C₂²	1	2	yes	complemented
278	#2319	C₂²	1	2	yes	complemented
279	#2312	C₂²	1	4	yes	—
280	#2311	C₂²	1	2	yes	complemented
281	#2311	C₂²	1	2	yes	complemented
282	#2309	C₂²	1	2	yes	—
283	#2309	C₂²	1	2	yes	—
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×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
288	C₄×#127	C₂²	1	1	yes	characteristic
289	C₄×#127	C₂²	1	1	yes	characteristic
290	C₄×#125	C₂²	1	1	yes	characteristic, complemented
291	C₄×#125	C₂²	1	1	yes	characteristic, complemented
292	C₄×#126	C₂²	1	1	yes	characteristic
293	C₄×#126	C₂²	1	1	yes	characteristic
294	C₄×#126	C₂²	1	1	yes	characteristic, complemented
295	C₄×#126	C₂²	1	1	yes	characteristic, complemented
296	C₄×#124	C₂²	1	1	yes	characteristic
297	C₄×#124	C₂²	1	1	yes	characteristic
298	C₄×#124	C₂²	1	2	yes	complemented
299	C₄×#124	C₂²	1	2	yes	complemented
300	C₄×#124	C₂²	1	2	yes	complemented
301	C₄×#124	C₂²	1	2	yes	complemented
302	C₄×#124	C₂²	1	2	yes	complemented
303	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
304	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
305	C₄×#123	C₂²	1	1	yes	characteristic
306	C₄×#123	C₂²	1	1	yes	characteristic
307	C₄×#123	C₂²	1	1	yes	characteristic, complemented
308	C₄×#123	C₂²	1	1	yes	characteristic, complemented
309	C₄×#121	C₂²	1	1	yes	characteristic
310	C₄×#121	C₂²	1	1	yes	characteristic
311	C₄×#121	C₂²	1	2	yes	complemented
312	C₄×#121	C₂²	1	2	yes	complemented
313	#2298	C₂²	1	1	yes	characteristic
314	#2298	C₂²	1	1	yes	characteristic, complemented
315	#2297	C₂²	1	2	yes	complemented
316	#2297	C₂²	1	2	yes	complemented
317	#2295	C₂²	1	1	yes	characteristic, complemented
318	#2293	C₂²	1	1	yes	characteristic
319	#2293	C₂²	1	2	yes	complemented
320	#2293	C₂²	1	2	yes	complemented
321	#2290	C₂²	1	1	yes	characteristic
322	#2290	C₂²	1	1	yes	characteristic, complemented
323	#2283	C₂²	1	1	yes	characteristic, complemented
324	C₄²×Q₈	C₂²	1	1	yes	characteristic, complemented
325	C₄²×D₄	C₂²	1	1	yes	characteristic
326	C₄²×D₄	C₂²	1	1	yes	characteristic
327	C₄²×D₄	C₂²	1	1	yes	characteristic, complemented
328	C₄×#117	C₂²	1	1	yes	characteristic
329	C₄×#117	C₂²	1	1	yes	characteristic, complemented
330	C₂×C₄³	C₂²	1	1	yes	characteristic, complemented
331	C₂²×#41	C₂³	1	2	yes	—
332	C₂²×#41	C₂³	1	2	yes	—
333	C₂³×Q₈	C₂³	1	2	yes	—
334	C₂³×D₄	C₂³	1	2	yes	—
335	C₂³×D₄	C₂³	1	2	yes	—
336	C₂³×D₄	C₂³	1	2	yes	—
337	#548	—	4	8	no	—
338	#546	—	2	16	no	—
339	#546	—	4	8	no	—
340	#533	—	4	4	no	—
341	#533	—	4	4	no	—
342	#532	—	4	4	no	—
343	#532	—	4	4	no	—
344	C₂×C₄⋊Q₈	—	4	4	no	—
345	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
350	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
351	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
352	C₂×#127	—	4	4	no	—
353	C₂×#127	C₂³	1	1	yes	characteristic
354	C₂×#127	C₂³	1	1	yes	characteristic
355	C₂×#127	C₂³	1	2	yes	—
356	C₂×#127	C₂³	1	2	yes	—
357	C₂×#127	C₂³	1	2	yes	—
358	#529	—	2	8	no	—
359	#529	—	4	8	no	—
360	C₂×#126	C₂³	1	1	yes	characteristic
361	C₂×#126	C₂³	1	1	yes	characteristic
362	C₂×#126	C₂³	1	4	yes	—
363	C₂×#125	C₂³	1	1	yes	characteristic
364	C₂×#125	C₂³	1	2	yes	—
365	C₂×#125	C₂³	1	2	yes	—
366	C₂×#125	C₂³	1	2	yes	—
367	C₂×#124	C₂³	1	2	yes	—
368	C₂×#124	C₂³	1	1	yes	characteristic
369	C₂×#124	C₂³	1	2	yes	—
370	C₂×#124	C₂³	1	2	yes	—
371	C₂×#124	C₂³	1	2	yes	—
372	C₂×#124	C₂³	1	2	yes	—
373	C₂×#124	C₂³	1	2	yes	—
374	C₂×#124	C₂³	1	2	yes	—
375	C₂×#124	C₂³	1	2	yes	—
376	C₂×#124	C₂³	1	2	yes	—
377	C₂×#124	C₂³	1	2	yes	—
378	C₂×#124	C₂³	1	2	yes	—
379	C₂×#124	C₂³	1	2	yes	—
380	C₂×#124	C₂³	1	2	yes	—
381	C₂×#124	C₂³	1	2	yes	—
382	C₂×#124	C₂³	1	4	yes	—
383	C₂×#123	C₂³	1	4	yes	—
384	C₂×#123	C₂³	1	1	yes	characteristic
385	C₂×#123	C₂³	1	1	yes	characteristic
386	C₂×#123	C₂³	1	4	yes	—
387	C₂×#123	C₂³	1	4	yes	—
388	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
389	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
390	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
391	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
392	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
393	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
394	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
395	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
396	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
397	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
398	C₂×#121	C₂³	1	2	yes	—
399	C₂×#121	C₂³	1	4	yes	—
400	C₂×#121	C₂³	1	2	yes	—
401	C₂×#121	C₂³	1	1	yes	characteristic
402	C₂×#121	C₂³	1	2	yes	—
403	C₂×#121	C₂³	1	2	yes	—
404	C₂×#121	C₂³	1	2	yes	—
405	C₂×#121	C₂³	1	2	yes	—
406	C₂×#121	C₂³	1	2	yes	—
407	C₂×#121	C₂³	1	2	yes	—
408	C₂×#121	C₂³	1	2	yes	—
409	C₂×#121	C₂³	1	2	yes	—
410	C₂×#121	C₂³	1	4	yes	—
411	C₂×#121	C₂³	1	4	yes	—
412	C₂×#120	C₂³	1	4	yes	—
413	C₂×#120	C₂³	1	4	yes	—
414	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
415	C₂×C₄×Q₈	C₂³	1	2	yes	—
416	C₂×C₄×Q₈	C₂³	1	2	yes	—
417	C₂×C₄×Q₈	C₂³	1	2	yes	—
418	C₂×C₄×Q₈	C₂³	1	2	yes	—
419	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
420	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
421	C₂×C₄×Q₈	C₂³	1	2	yes	—
422	C₂×C₄×Q₈	C₂³	1	2	yes	—
423	C₂×C₄×Q₈	C₂³	1	2	yes	—
424	C₂×C₄×Q₈	C₂³	1	2	yes	—
425	C₂×C₄×D₄	C₂³	1	2	yes	—
426	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
427	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
428	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
429	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
430	C₂×C₄×D₄	C₂³	1	2	yes	—
431	C₂×C₄×D₄	C₂³	1	2	yes	—
432	C₂×C₄×D₄	C₂³	1	2	yes	—
433	C₂×C₄×D₄	C₂³	1	2	yes	—
434	C₂×C₄×D₄	C₂³	1	2	yes	—
435	C₂×C₄×D₄	C₂³	1	2	yes	—
436	C₂×C₄×D₄	C₂³	1	4	yes	—
437	C₂×C₄×D₄	C₂³	1	2	yes	—
438	C₂×C₄×D₄	C₂³	1	2	yes	—
439	C₂×C₄×D₄	C₂³	1	2	yes	—
440	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
441	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
442	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
443	C₂×C₄×D₄	C₂³	1	4	yes	—
444	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
445	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
446	C₂×#117	C₂³	1	1	yes	characteristic
447	C₂×#117	C₂³	1	1	yes	characteristic
448	C₂×#117	C₂³	1	1	yes	characteristic
449	C₂×#117	C₂³	1	2	yes	—
450	C₂×#117	C₂³	1	1	yes	characteristic
451	C₂×#117	C₂³	1	4	yes	—
452	C₂×#117	C₂³	1	2	yes	—
453	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
454	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
456	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
457	C₂²×C₄²	C₂³	1	1	yes	characteristic
458	C₂²×C₄²	C₂³	1	1	yes	characteristic
459	C₂²×C₄²	C₂³	1	1	yes	characteristic
460	C₂²×C₄²	C₂³	1	1	yes	characteristic
461	C₂²×C₄²	C₂³	1	1	yes	characteristic
462	C₂²×C₄²	C₂³	1	1	yes	characteristic
463	C₂²×C₄²	C₂³	1	1	yes	characteristic
464	C₂²×C₄²	C₂³	1	1	yes	characteristic
465	C₂²×C₄²	C₂³	1	1	yes	characteristic
466	#401	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	#400	C₂³	1	4	yes	—
473	#400	C₂³	1	4	yes	—
474	#399	C₂³	1	4	yes	—
475	#399	C₂³	1	4	yes	—
476	#399	C₂³	1	4	yes	—
477	#399	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	#397	C₂³	1	4	yes	—
483	#397	C₂³	1	4	yes	—
484	#397	C₂³	1	4	yes	—
485	#397	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	#397	C₂³	1	4	yes	—
503	#396	C₂³	1	4	yes	—
504	#396	C₂³	1	4	yes	—
505	#396	C₂³	1	4	yes	—
506	#396	C₂³	1	4	yes	—
507	#396	C₂³	1	4	yes	—
508	#395	C₂³	1	4	yes	—
509	#394	C₂³	1	4	yes	—
510	#394	C₂³	1	4	yes	—
511	#394	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	#394	C₂³	1	4	yes	—
520	#394	C₂³	1	4	yes	—
521	#394	C₂³	1	4	yes	—
522	#394	C₂³	1	4	yes	—
523	#394	C₂³	1	4	yes	—
524	#394	C₂³	1	4	yes	—
525	#394	C₂³	1	4	yes	—
526	#394	C₂³	1	4	yes	—
527	#394	C₂³	1	4	yes	—
528	#394	C₂³	1	4	yes	—
529	#394	C₂³	1	4	yes	—
530	#394	C₂³	1	4	yes	—
531	#394	C₂³	1	4	yes	—
532	#393	C₂³	1	4	yes	—
533	#393	C₂³	1	4	yes	—
534	#393	C₂³	1	4	yes	—
535	#393	C₂³	1	4	yes	—
536	#393	C₂³	1	4	yes	—
537	#393	C₂³	1	4	yes	—
538	#393	C₂³	1	4	yes	—
539	#393	C₂³	1	4	yes	—
540	#393	C₂³	1	4	yes	—
541	#392	C₂³	1	4	yes	—
542	#392	C₂³	1	4	yes	—
543	#392	C₂³	1	4	yes	—
544	#392	C₂³	1	4	yes	—
545	#392	C₂³	1	4	yes	—
546	#391	C₂³	1	4	yes	—
547	#391	C₂³	1	2	yes	—
548	#391	C₂³	1	2	yes	—
549	#391	C₂³	1	2	yes	—
550	#391	C₂³	1	2	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	1	yes	characteristic
558	#391	C₂³	1	2	yes	—
559	#391	C₂³	1	2	yes	—
560	#391	C₂³	1	2	yes	—
561	#391	C₂³	1	2	yes	—
562	#391	C₂³	1	2	yes	—
563	#391	C₂³	1	2	yes	—
564	#391	C₂³	1	2	yes	—
565	#391	C₂³	1	2	yes	—
566	#391	C₂³	1	2	yes	—
567	#391	C₂³	1	2	yes	—
568	#391	C₂³	1	2	yes	—
569	#391	C₂³	1	1	yes	characteristic
570	#390	C₂³	1	4	yes	—
571	#390	C₂³	1	2	yes	—
572	#390	C₂³	1	2	yes	—
573	#390	C₂³	1	2	yes	—
574	#390	C₂³	1	2	yes	—
575	#390	C₂³	1	2	yes	—
576	#390	C₂³	1	2	yes	—
577	#390	C₂³	1	2	yes	—
578	#390	C₂³	1	2	yes	—
579	#390	C₂³	1	2	yes	—
580	#390	C₂³	1	2	yes	—
581	#390	C₂³	1	2	yes	—
582	#390	C₂³	1	2	yes	—
583	#390	C₂³	1	2	yes	—
584	#390	C₂³	1	2	yes	—
585	#390	C₂³	1	2	yes	—
586	#390	C₂³	1	4	yes	—
587	#390	C₂³	1	2	yes	—
588	#390	C₂³	1	4	yes	—
589	#390	C₂³	1	2	yes	—
590	#390	C₂³	1	2	yes	—
591	#390	C₂³	1	4	yes	—
592	#390	C₂³	1	2	yes	—
593	#390	C₂³	1	2	yes	—
594	#390	C₂³	1	2	yes	—
595	#390	C₂³	1	1	yes	characteristic
596	#390	C₂³	1	4	yes	—
597	#390	C₂³	1	4	yes	—
598	#390	C₂³	1	2	yes	—
599	#390	C₂³	1	2	yes	—
600	#390	C₂³	1	4	yes	—
601	#390	C₂³	1	2	yes	—
602	#390	C₂³	1	2	yes	—
603	#390	C₂³	1	2	yes	—
604	#390	C₂³	1	2	yes	—
605	#390	C₂³	1	2	yes	—
606	#390	C₂³	1	2	yes	—
607	#390	C₂³	1	2	yes	—
608	#390	C₂³	1	2	yes	—
609	#390	C₂³	1	2	yes	—
610	#390	C₂³	1	2	yes	—
611	#390	C₂³	1	2	yes	—
612	#390	C₂³	1	2	yes	—
613	#390	C₂³	1	2	yes	—
614	#390	C₂³	1	4	yes	—
615	#390	C₂³	1	1	yes	characteristic
616	#389	C₂³	1	1	yes	characteristic
617	#389	C₂³	1	1	yes	characteristic
618	#389	C₂³	1	1	yes	characteristic
619	#389	C₂³	1	1	yes	characteristic
620	#389	C₂³	1	2	yes	—
621	#389	C₂³	1	2	yes	—
622	#389	C₂³	1	2	yes	—
623	#389	C₂³	1	2	yes	—
624	#389	C₂³	1	2	yes	—
625	#389	C₂³	1	2	yes	—
626	#389	C₂³	1	2	yes	—
627	#389	C₂³	1	2	yes	—
628	#389	C₂³	1	2	yes	—
629	#389	C₂³	1	2	yes	—
630	#389	C₂³	1	2	yes	—
631	#389	C₂³	1	2	yes	—
632	#389	C₂³	1	4	yes	—
633	#389	C₂³	1	2	yes	—
634	#389	C₂³	1	2	yes	—
635	#389	C₂³	1	2	yes	—
636	#389	C₂³	1	2	yes	—
637	#389	C₂³	1	2	yes	—
638	#389	C₂³	1	2	yes	—
639	#389	C₂³	1	2	yes	—
640	#389	C₂³	1	4	yes	—
641	#389	C₂³	1	2	yes	—
642	#389	C₂³	1	4	yes	—
643	#389	C₂³	1	4	yes	—
644	#388	C₂³	1	1	yes	characteristic
645	#388	C₂³	1	1	yes	characteristic
646	#388	C₂³	1	1	yes	characteristic
647	#388	C₂³	1	1	yes	characteristic
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	#388	C₂³	1	1	yes	characteristic
655	#388	C₂³	1	1	yes	characteristic
656	#388	C₂³	1	4	yes	—
657	#388	C₂³	1	4	yes	—
658	#388	C₂³	1	4	yes	—
659	#388	C₂³	1	4	yes	—
660	#388	C₂³	1	4	yes	—
661	#388	C₂³	1	4	yes	—
662	#388	C₂³	1	4	yes	—
663	#388	C₂³	1	4	yes	—
664	#388	C₂³	1	4	yes	—
665	#388	C₂³	1	4	yes	—
666	#388	C₂³	1	4	yes	—
667	#388	C₂³	1	4	yes	—
668	#388	C₂³	1	4	yes	—
669	#388	C₂³	1	4	yes	—
670	#388	C₂³	1	4	yes	—
671	#388	C₂³	1	4	yes	—
672	#388	C₂³	1	4	yes	—
673	#388	C₂³	1	4	yes	—
674	#388	C₂³	1	4	yes	—
675	#388	C₂³	1	4	yes	—
676	#388	C₂³	1	4	yes	—
677	#388	C₂³	1	4	yes	—
678	#388	C₂³	1	4	yes	—
679	#388	C₂³	1	4	yes	—
680	#388	C₂³	1	4	yes	—
681	#388	C₂³	1	4	yes	—
682	#388	C₂³	1	4	yes	—
683	#388	C₂³	1	4	yes	—
684	#388	C₂³	1	4	yes	—
685	#388	C₂³	1	4	yes	—
686	#388	C₂³	1	4	yes	—
687	#388	C₂³	1	4	yes	—
688	#388	C₂³	1	4	yes	—
689	#388	C₂³	1	4	yes	—
690	#388	C₂³	1	4	yes	—
691	#388	C₂³	1	4	yes	—
692	#388	C₂³	1	4	yes	—
693	#388	C₂³	1	4	yes	—
694	#388	C₂³	1	4	yes	—
695	#388	C₂³	1	4	yes	—
696	#388	C₂³	1	4	yes	—
697	#388	C₂³	1	4	yes	—
698	#388	C₂³	1	4	yes	—
699	#388	C₂³	1	1	yes	characteristic
700	#388	C₂³	1	1	yes	characteristic
701	#388	C₂³	1	1	yes	characteristic
702	#388	C₂³	1	1	yes	characteristic
703	#387	C₂³	1	1	yes	characteristic
704	#387	C₂³	1	1	yes	characteristic
705	#387	C₂³	1	1	yes	characteristic
706	#387	C₂³	1	1	yes	characteristic
707	#387	C₂³	1	1	yes	characteristic
708	#387	C₂³	1	1	yes	characteristic
709	#387	C₂³	1	1	yes	characteristic
710	#387	C₂³	1	1	yes	characteristic
711	#387	C₂³	1	1	yes	characteristic
712	#387	C₂³	1	1	yes	characteristic
713	#387	C₂³	1	1	yes	characteristic
714	#387	C₂³	1	1	yes	characteristic
715	#387	C₂³	1	1	yes	characteristic
716	#387	C₂³	1	1	yes	characteristic
717	#387	C₂³	1	1	yes	characteristic
718	#387	C₂³	1	1	yes	characteristic
719	#387	C₂³	1	4	yes	—
720	#387	C₂³	1	4	yes	—
721	#387	C₂³	1	4	yes	—
722	#387	C₂³	1	4	yes	—
723	#387	C₂³	1	4	yes	—
724	#387	C₂³	1	4	yes	—
725	#387	C₂³	1	4	yes	—
726	#386	C₂³	1	4	yes	—
727	#386	C₂³	1	4	yes	—
728	#386	C₂³	1	4	yes	—
729	#386	C₂³	1	4	yes	—
730	#386	C₂³	1	4	yes	—
731	#386	C₂³	1	4	yes	—
732	#386	C₂³	1	4	yes	—
733	#386	C₂³	1	4	yes	—
734	#386	C₂³	1	4	yes	—
735	#386	C₂³	1	4	yes	—
736	#386	C₂³	1	4	yes	—
737	#386	C₂³	1	4	yes	—
738	#386	C₂³	1	4	yes	—
739	#386	C₂³	1	4	yes	—
740	#386	C₂³	1	4	yes	—
741	#386	C₂³	1	4	yes	—
742	#386	C₂³	1	4	yes	—
743	#386	C₂³	1	4	yes	—
744	#386	C₂³	1	4	yes	—
745	#386	C₂³	1	4	yes	—
746	#386	C₂³	1	4	yes	—
747	#386	C₂³	1	4	yes	—
748	#386	C₂³	1	4	yes	—
749	#386	C₂³	1	1	yes	characteristic
750	#386	C₂³	1	1	yes	characteristic
751	#386	C₂³	1	1	yes	characteristic
752	#386	C₂³	1	1	yes	characteristic
753	#385	C₂³	1	4	yes	—
754	#385	C₂³	1	4	yes	—
755	#385	C₂³	1	4	yes	—
756	#385	C₂³	1	4	yes	—
757	#385	C₂³	1	4	yes	—
758	#385	C₂³	1	4	yes	—
759	#385	C₂³	1	4	yes	—
760	#385	C₂³	1	4	yes	—
761	#385	C₂³	1	4	yes	—
762	#385	C₂³	1	1	yes	characteristic
763	#385	C₂³	1	1	yes	characteristic
764	#385	C₂³	1	1	yes	characteristic
765	#385	C₂³	1	1	yes	characteristic
766	#384	C₂³	1	1	yes	characteristic
767	#384	C₂³	1	1	yes	characteristic
768	#383	C₂³	1	1	yes	characteristic
769	#383	C₂³	1	1	yes	characteristic
770	#383	C₂³	1	4	yes	—
771	#382	C₂³	1	1	yes	characteristic
772	#382	C₂³	1	1	yes	characteristic
773	#382	C₂³	1	2	yes	—
774	#382	C₂³	1	2	yes	—
775	#382	C₂³	1	2	yes	—
776	#382	C₂³	1	2	yes	—
777	#382	C₂³	1	4	yes	—
778	#382	C₂³	1	2	yes	—
779	#382	C₂³	1	2	yes	—
780	#382	C₂³	1	2	yes	—
781	#382	C₂³	1	4	yes	—
782	#381	C₂³	1	4	yes	—
783	#381	C₂³	1	4	yes	—
784	#381	C₂³	1	4	yes	—
785	#381	C₂³	1	1	yes	characteristic
786	#381	C₂³	1	1	yes	characteristic
787	#380	C₂³	1	4	yes	—
788	#380	C₂³	1	4	yes	—
789	#380	C₂³	1	4	yes	—
790	#380	C₂³	1	4	yes	—
791	#380	C₂³	1	4	yes	—
792	#380	C₂³	1	4	yes	—
793	#380	C₂³	1	2	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	4	yes	—
800	#380	C₂³	1	2	yes	—
801	#380	C₂³	1	2	yes	—
802	#380	C₂³	1	1	yes	characteristic
803	#380	C₂³	1	1	yes	characteristic
804	#379	C₂³	1	4	yes	—
805	#379	C₂³	1	4	yes	—
806	#379	C₂³	1	4	yes	—
807	#379	C₂³	1	4	yes	—
808	#379	C₂³	1	4	yes	—
809	#379	C₂³	1	4	yes	—
810	#379	C₂³	1	4	yes	—
811	#379	C₂³	1	4	yes	—
812	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
813	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
814	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
815	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
816	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
817	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
818	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
819	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
820	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
821	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
822	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
823	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
824	C₄×C₄⋊C₄	C₂³	1	4	yes	—
825	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
826	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
827	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
828	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
829	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
830	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
831	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
832	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
833	C₄×C₄⋊C₄	C₂³	1	2	yes	—
834	C₄×C₄⋊C₄	C₂³	1	2	yes	—
835	C₄×C₄⋊C₄	C₂³	1	2	yes	—
836	C₄×C₄⋊C₄	C₂³	1	2	yes	—
837	C₄×C₄⋊C₄	C₂³	1	2	yes	—
838	C₄×C₄⋊C₄	C₂³	1	2	yes	—
839	C₄×C₄⋊C₄	C₂³	1	2	yes	—
840	C₄×C₄⋊C₄	C₂³	1	2	yes	—
841	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
842	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
843	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
844	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
845	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
846	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
847	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
848	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
850	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
851	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
852	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
853	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
854	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
855	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
856	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
857	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
858	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
859	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
860	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
861	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
862	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
863	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
864	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
865	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
866	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
867	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
868	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
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	#376	C₂³	1	1	yes	characteristic
884	#376	C₂³	1	1	yes	characteristic
885	#376	C₂³	1	1	yes	characteristic
886	#376	C₂³	1	1	yes	characteristic
887	C₄³	C₂³	1	1	yes	characteristic
888	C₄³	C₂³	1	1	yes	characteristic
889	C₄³	C₂³	1	1	yes	characteristic
890	C₄³	C₂³	1	1	yes	characteristic
891	C₄³	C₂³	1	1	yes	characteristic
892	C₄³	C₂³	1	1	yes	characteristic
893	C₄³	C₂³	1	1	yes	characteristic
894	C₄³	C₂³	1	1	yes	characteristic
895	C₄³	C₂³	1	1	yes	characteristic
896	C₄³	C₂³	1	1	yes	characteristic
897	C₂⁵	C₂⁴	1	4	yes	—
898	C₂×#41	—	2	8	no	—
899	C₂×#41	—	2	8	no	—
900	C₂×#41	—	4	4	no	—
901	C₂×#41	—	4	4	no	—
902	C₂×#41	—	4	4	no	—
903	C₂×#41	—	4	4	no	—
904	C₂²×Q₈	—	4	4	no	—
905	C₂²×Q₈	—	4	4	no	—
906	C₂²×Q₈	—	4	4	no	—
907	C₂²×Q₈	C₂⁴	1	2	yes	—
908	C₂²×Q₈	C₂⁴	1	2	yes	—
909	C₂²×Q₈	C₂⁴	1	2	yes	—
910	C₂²×Q₈	C₂⁴	1	2	yes	—
911	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
912	C₂²×Q₈	C₂⁴	1	4	yes	—
913	C₂²×D₄	—	2	8	no	—
914	C₂²×D₄	—	4	4	no	—
915	C₂²×D₄	—	4	4	no	—
916	C₂²×D₄	—	4	4	no	—
917	C₂²×D₄	—	4	4	no	—
918	C₂²×D₄	—	4	4	no	—
919	C₂²×D₄	—	4	4	no	—
920	C₂²×D₄	—	4	4	no	—
921	C₂²×D₄	—	4	4	no	—
922	C₂²×D₄	C₂⁴	1	2	yes	—
923	C₂²×D₄	C₂⁴	1	2	yes	—
924	C₂²×D₄	C₂⁴	1	2	yes	—
925	C₂²×D₄	C₂⁴	1	2	yes	—
926	C₂²×D₄	C₂⁴	1	2	yes	—
927	C₂²×D₄	C₂⁴	1	2	yes	—
928	C₂²×D₄	C₂⁴	1	1	yes	characteristic
929	C₂²×D₄	C₂⁴	1	1	yes	characteristic
930	C₂²×D₄	C₂⁴	1	4	yes	—
931	C₂²×D₄	C₂⁴	1	4	yes	—
932	C₂²×D₄	C₂⁴	1	4	yes	—
933	C₂²×D₄	C₂⁴	1	4	yes	—
934	C₂²×D₄	C₂⁴	1	4	yes	—
935	C₂²×D₄	C₂⁴	1	4	yes	—
936	C₂²×D₄	C₂⁴	1	4	yes	—
937	C₂²×D₄	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	1	yes	characteristic
946	C₂³×C₄	C₂⁴	1	1	yes	characteristic
947	C₂³×C₄	C₂⁴	1	1	yes	characteristic
948	C₂³×C₄	C₂⁴	1	4	yes	—
949	C₂³×C₄	C₂⁴	1	4	yes	—
950	C₂³×C₄	C₂⁴	1	4	yes	—
951	C₂³×C₄	C₂⁴	1	1	yes	characteristic
952	C₂³×C₄	C₂⁴	1	1	yes	characteristic
953	C₂³×C₄	C₂⁴	1	4	yes	—
954	C₂³×C₄	C₂⁴	1	4	yes	—
955	C₂³×C₄	C₂⁴	1	1	yes	characteristic
956	C₄⋊Q₈	—	2	4	no	—
957	C₄⋊Q₈	—	2	4	no	—
958	C₄⋊Q₈	—	2	4	no	—
959	C₄⋊Q₈	—	2	4	no	—
960	C₄⋊Q₈	—	4	4	no	—
961	C₄⋊Q₈	—	4	4	no	—
962	C₄⋊Q₈	—	4	4	no	—
963	#127	—	2	4	no	—
964	#127	—	2	4	no	—
965	#127	—	4	4	no	—
966	#127	—	4	4	no	—
967	#127	—	4	4	no	—
968	#126	—	2	4	no	—
969	#126	—	2	4	no	—
970	#126	—	4	8	no	—
971	#125	—	2	4	no	—
972	#125	—	4	4	no	—
973	#125	—	4	4	no	—
974	#125	—	4	4	no	—
975	#124	—	2	4	no	—
976	#124	—	2	8	no	—
977	#124	—	4	4	no	—
978	#124	—	4	4	no	—
979	#124	—	4	4	no	—
980	#124	—	4	4	no	—
981	#124	—	4	4	no	—
982	#124	—	4	4	no	—
983	#124	—	4	4	no	—
984	#124	—	4	4	no	—
985	#124	—	4	4	no	—
986	#124	—	4	4	no	—
987	#124	—	4	4	no	—
988	#124	—	4	4	no	—
989	#124	—	4	4	no	—
990	#124	—	4	8	no	—
991	#123	—	2	16	no	—
992	#123	—	2	4	no	—
993	#123	—	2	4	no	—
994	#123	—	4	8	no	—
995	#123	—	4	8	no	—
996	C₂²⋊Q₈	—	2	8	no	—
997	C₂²⋊Q₈	—	2	8	no	—
998	C₂²⋊Q₈	—	2	4	no	—
999	C₂²⋊Q₈	—	4	8	no	—
1000	C₂²⋊Q₈	—	4	4	no	—
1001	C₂²⋊Q₈	—	4	4	no	—
1002	C₂²⋊Q₈	—	4	4	no	—
1003	C₂²⋊Q₈	—	4	4	no	—
1004	C₂²⋊Q₈	—	4	4	no	—
1005	C₂²⋊Q₈	—	4	4	no	—
1006	#121	—	2	4	no	—
1007	#121	—	2	8	no	—
1008	#121	—	2	8	no	—
1009	#121	—	2	16	no	—
1010	#121	—	4	8	no	—
1011	#121	—	4	8	no	—
1012	#121	—	4	4	no	—
1013	#121	—	4	4	no	—
1014	#121	—	4	4	no	—
1015	#121	—	4	4	no	—
1016	#121	—	4	4	no	—
1017	#121	—	4	4	no	—
1018	#121	—	4	4	no	—
1019	#121	—	4	4	no	—
1020	#120	—	2	16	no	—
1021	#120	—	4	8	no	—
1022	C₄×Q₈	—	2	4	no	—
1023	C₄×Q₈	—	4	2	no	—
1024	C₄×Q₈	—	4	2	no	—
1025	C₄×Q₈	—	4	4	no	—
1026	C₄×Q₈	—	4	4	no	—
1027	C₄×Q₈	—	4	4	no	—
1028	C₄×Q₈	—	4	4	no	—
1029	C₄×Q₈	—	4	4	no	—
1030	C₄×Q₈	—	4	4	no	—
1031	C₄×Q₈	—	4	4	no	—
1032	C₄×Q₈	—	4	4	no	—
1033	C₄×D₄	—	2	4	no	—
1034	C₄×D₄	—	2	4	no	—
1035	C₄×D₄	—	2	4	no	—
1036	C₄×D₄	—	2	4	no	—
1037	C₄×D₄	—	2	8	no	—
1038	C₄×D₄	—	4	4	no	—
1039	C₄×D₄	—	4	4	no	—
1040	C₄×D₄	—	4	4	no	—
1041	C₄×D₄	—	4	4	no	—
1042	C₄×D₄	—	4	4	no	—
1043	C₄×D₄	—	4	4	no	—
1044	C₄×D₄	—	4	4	no	—
1045	C₄×D₄	—	4	4	no	—
1046	C₄×D₄	—	4	4	no	—
1047	C₄×D₄	—	4	2	no	—
1048	C₄×D₄	—	4	2	no	—
1049	C₄×D₄	—	4	2	no	—
1050	C₄×D₄	—	4	2	no	—
1051	C₄×D₄	—	4	8	no	—
1052	C₄×D₄	—	4	8	no	—
1053	C₄×D₄	#41	1	8	yes	complemented
1054	#117	—	2	4	no	—
1055	#117	—	2	4	no	—
1056	#117	—	4	2	no	—
1057	#117	—	4	2	no	—
1058	#117	—	4	8	no	—
1059	#117	—	4	4	no	—
1060	#117	—	4	4	no	—
1061	C₂×C₄⋊C₄	—	4	4	no	—
1062	C₂×C₄⋊C₄	—	4	4	no	—
1063	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	2	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	4	yes	—
1069	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1071	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1076	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1077	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1078	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1079	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1080	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1081	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
1087	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1094	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1095	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1096	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1097	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1098	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1099	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1100	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1108	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1115	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1116	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1117	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1118	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	—	2	16	no	—
1120	C₂×C₂²⋊C₄	—	4	8	no	—
1121	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1123	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1124	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1125	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1126	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1127	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1132	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1134	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1140	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1141	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1142	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1143	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1144	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
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	4	yes	—
1150	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
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	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1166	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1167	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1168	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1169	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1170	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1171	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1172	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1173	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1174	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1175	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1176	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1177	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1178	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1179	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1180	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1181	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1182	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1183	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1184	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1185	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1186	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1187	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1188	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1189	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1190	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1191	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1193	C₂×C₄²	—	2	4	no	—
1194	C₂×C₄²	—	2	4	no	—
1195	C₂×C₄²	—	2	4	no	—
1196	C₂×C₄²	—	2	4	no	—
1197	C₂×C₄²	—	2	4	no	—
1198	C₂×C₄²	—	4	2	no	—
1199	C₂×C₄²	—	4	2	no	—
1200	C₂×C₄²	—	4	2	no	—
1201	C₂×C₄²	—	4	2	no	—
1202	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1203	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1204	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1205	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1206	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1207	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1208	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1209	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1210	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1211	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1221	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1222	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1223	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1224	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1225	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1226	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1227	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1228	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1229	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1230	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1231	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1232	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1233	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1234	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1235	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1236	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1237	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1238	C₂×C₄²	C₂⁴	1	4	yes	—
1239	C₂×C₄²	C₂⁴	1	4	yes	—
1240	C₂×C₄²	C₂⁴	1	4	yes	—
1241	C₂×C₄²	C₂⁴	1	4	yes	—
1242	C₂×C₄²	C₂⁴	1	4	yes	—
1243	C₂×C₄²	C₂⁴	1	4	yes	—
1244	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1245	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1246	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1247	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1248	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1249	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1250	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1251	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1252	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1253	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1254	#95	C₂⁴	1	1	yes	characteristic
1255	#95	C₂⁴	1	1	yes	characteristic
1256	#95	C₂⁴	1	1	yes	characteristic
1257	#95	C₂⁴	1	1	yes	characteristic
1258	#95	C₂⁴	1	1	yes	characteristic
1259	#95	C₂⁴	1	1	yes	characteristic
1260	#95	C₂⁴	1	1	yes	characteristic
1261	#95	C₂⁴	1	1	yes	characteristic
1262	#95	C₂⁴	1	1	yes	characteristic
1263	#95	C₂⁴	1	1	yes	characteristic
1264	#95	C₂⁴	1	1	yes	characteristic
1265	#95	C₂⁴	1	1	yes	characteristic
1266	#95	C₂⁴	1	1	yes	characteristic
1267	#95	C₂⁴	1	1	yes	characteristic
1268	#95	C₂⁴	1	1	yes	characteristic
1269	#95	C₂⁴	1	1	yes	characteristic
1270	#95	C₂⁴	1	1	yes	characteristic
1271	#95	C₂⁴	1	1	yes	characteristic
1272	#95	C₂⁴	1	1	yes	characteristic
1273	#95	C₂⁴	1	4	yes	—
1274	#95	C₂⁴	1	1	yes	characteristic
1275	#95	C₂⁴	1	1	yes	characteristic
1276	#95	C₂⁴	1	1	yes	characteristic
1277	#95	C₂⁴	1	1	yes	characteristic
1278	#95	C₂⁴	1	1	yes	characteristic
1279	#95	C₂⁴	1	1	yes	characteristic
1280	#95	C₂⁴	1	1	yes	characteristic
1281	#95	C₂⁴	1	1	yes	characteristic
1282	#95	C₂⁴	1	1	yes	characteristic
1283	#95	C₂⁴	1	1	yes	characteristic
1284	#95	C₂⁴	1	1	yes	characteristic
1285	#95	C₂⁴	1	1	yes	characteristic
1286	#95	C₂⁴	1	1	yes	characteristic
1287	#95	C₂⁴	1	1	yes	characteristic
1288	#95	C₂⁴	1	1	yes	characteristic
1289	#95	C₂⁴	1	1	yes	characteristic
1290	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	4	yes	—
1303	#95	C₂⁴	1	4	yes	—
1304	#95	C₂⁴	1	4	yes	—
1305	#95	C₂⁴	1	1	yes	characteristic
1306	#95	C₂⁴	1	1	yes	characteristic
1307	#95	C₂⁴	1	1	yes	characteristic
1308	#95	C₂⁴	1	1	yes	characteristic
1309	#95	C₂⁴	1	4	yes	—
1310	#95	C₂⁴	1	4	yes	—
1311	#95	C₂⁴	1	4	yes	—
1312	#95	C₂⁴	1	4	yes	—
1313	#95	C₂⁴	1	4	yes	—
1314	#95	C₂⁴	1	4	yes	—
1315	#95	C₂⁴	1	4	yes	—
1316	#95	C₂⁴	1	4	yes	—
1317	#95	C₂⁴	1	4	yes	—
1318	#95	C₂⁴	1	4	yes	—
1319	#95	C₂⁴	1	4	yes	—
1320	#95	C₂⁴	1	4	yes	—
1321	#95	C₂⁴	1	4	yes	—
1322	#95	C₂⁴	1	4	yes	—
1323	#95	C₂⁴	1	4	yes	—
1324	C₂⁴	—	2	8	no	—
1325	C₂⁴	—	4	4	no	—
1326	C₂⁴	—	4	4	no	—
1327	C₂⁴	—	4	4	no	—
1328	C₂⁴	—	4	4	no	—
1329	C₂⁴	—	4	4	no	—
1330	C₂⁴	—	4	4	no	—
1331	C₂⁴	C₂⁵	1	4	yes	—
1332	C₂⁴	C₂⁵	1	4	yes	—
1333	C₂⁴	C₂⁵	1	1	yes	characteristic
1334	C₂⁴	C₂⁵	1	1	yes	characteristic
1335	C₂⁴	C₂⁵	1	1	yes	characteristic
1336	#41	—	8	16	no	—
1337	#41	—	8	16	no	—
1338	C₂×Q₈	—	2	2	no	—
1339	C₂×Q₈	—	2	4	no	—
1340	C₂×Q₈	—	2	4	no	—
1341	C₂×Q₈	—	2	4	no	—
1342	C₂×Q₈	—	2	4	no	—
1343	C₂×Q₈	—	2	4	no	—
1344	C₂×Q₈	—	2	4	no	—
1345	C₂×Q₈	—	2	4	no	—
1346	C₂×Q₈	—	2	4	no	—
1347	C₂×Q₈	—	2	4	no	—
1348	C₂×Q₈	—	2	4	no	—
1349	C₂×Q₈	—	2	4	no	—
1350	C₂×Q₈	—	2	4	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	4	1	no	—
1353	C₂×Q₈	—	4	4	no	—
1354	C₂×Q₈	—	4	4	no	—
1355	C₂×Q₈	—	4	4	no	—
1356	C₂×Q₈	—	8	16	no	—
1357	C₂×D₄	—	2	2	no	—
1358	C₂×D₄	—	2	2	no	—
1359	C₂×D₄	—	2	2	no	—
1360	C₂×D₄	—	2	2	no	—
1361	C₂×D₄	—	2	8	no	—
1362	C₂×D₄	—	2	8	no	—
1363	C₂×D₄	—	2	8	no	—
1364	C₂×D₄	—	2	8	no	—
1365	C₂×D₄	—	2	4	no	—
1366	C₂×D₄	—	2	4	no	—
1367	C₂×D₄	—	2	8	no	—
1368	C₂×D₄	—	2	4	no	—
1369	C₂×D₄	—	2	4	no	—
1370	C₂×D₄	—	2	4	no	—
1371	C₂×D₄	—	2	4	no	—
1372	C₂×D₄	—	2	4	no	—
1373	C₂×D₄	—	2	4	no	—
1374	C₂×D₄	—	2	4	no	—
1375	C₂×D₄	—	2	4	no	—
1376	C₂×D₄	—	2	4	no	—
1377	C₂×D₄	—	2	4	no	—
1378	C₂×D₄	—	2	4	no	—
1379	C₂×D₄	—	2	4	no	—
1380	C₂×D₄	—	2	4	no	—
1381	C₂×D₄	—	2	4	no	—
1382	C₂×D₄	—	2	4	no	—
1383	C₂×D₄	—	2	4	no	—
1384	C₂×D₄	—	4	1	no	—
1385	C₂×D₄	—	4	1	no	—
1386	C₂×D₄	—	4	1	no	—
1387	C₂×D₄	—	4	1	no	—
1388	C₂×D₄	—	4	4	no	—
1389	C₂×D₄	—	4	4	no	—
1390	C₂×D₄	—	4	4	no	—
1391	C₂×D₄	—	4	4	no	—
1392	C₂×D₄	—	4	4	no	—
1393	C₂×D₄	—	4	4	no	—
1394	C₂×D₄	—	4	4	no	—
1395	C₂×D₄	—	4	4	no	—
1396	C₂×D₄	—	4	4	no	—
1397	C₂×D₄	—	4	4	no	—
1398	C₂×D₄	—	4	4	no	—
1399	C₂×D₄	—	4	4	no	—
1400	C₂×D₄	—	4	4	no	—
1401	C₂×D₄	—	4	4	no	—
1402	C₂×D₄	—	4	4	no	—
1403	C₂×D₄	—	4	4	no	—
1404	C₂×D₄	—	8	16	no	—
1405	C₂×D₄	—	8	16	no	—
1406	C₂×D₄	—	8	16	no	—
1407	C₂×D₄	C₂×#41	1	4	yes	—
1408	C₂²×C₄	—	2	2	no	—
1409	C₂²×C₄	—	2	2	no	—
1410	C₂²×C₄	—	2	2	no	—
1411	C₂²×C₄	—	2	2	no	—
1412	C₂²×C₄	—	2	2	no	—
1413	C₂²×C₄	—	2	2	no	—
1414	C₂²×C₄	—	2	2	no	—
1415	C₂²×C₄	—	2	2	no	—
1416	C₂²×C₄	—	2	2	no	—
1417	C₂²×C₄	—	2	2	no	—
1418	C₂²×C₄	—	2	2	no	—
1419	C₂²×C₄	—	2	2	no	—
1420	C₂²×C₄	—	2	2	no	—
1421	C₂²×C₄	—	2	2	no	—
1422	C₂²×C₄	—	2	2	no	—
1423	C₂²×C₄	—	2	2	no	—
1424	C₂²×C₄	—	2	2	no	—
1425	C₂²×C₄	—	2	2	no	—
1426	C₂²×C₄	—	2	2	no	—
1427	C₂²×C₄	—	2	2	no	—
1428	C₂²×C₄	—	2	2	no	—
1429	C₂²×C₄	—	2	2	no	—
1430	C₂²×C₄	—	2	2	no	—
1431	C₂²×C₄	—	2	2	no	—
1432	C₂²×C₄	—	2	2	no	—
1433	C₂²×C₄	—	2	2	no	—
1434	C₂²×C₄	—	2	2	no	—
1435	C₂²×C₄	—	2	2	no	—
1436	C₂²×C₄	—	2	8	no	—
1437	C₂²×C₄	—	2	8	no	—
1438	C₂²×C₄	—	2	8	no	—
1439	C₂²×C₄	—	4	1	no	—
1440	C₂²×C₄	—	4	1	no	—
1441	C₂²×C₄	—	4	1	no	—
1442	C₂²×C₄	—	4	1	no	—
1443	C₂²×C₄	—	4	1	no	—
1444	C₂²×C₄	—	4	1	no	—
1445	C₂²×C₄	—	4	1	no	—
1446	C₂²×C₄	—	4	1	no	—
1447	C₂²×C₄	—	4	4	no	—
1448	C₂²×C₄	—	4	4	no	—
1449	C₂²×C₄	—	4	4	no	—
1450	C₂²×C₄	—	4	4	no	—
1451	C₂²×C₄	—	4	4	no	—
1452	C₂²×C₄	—	4	4	no	—
1453	C₂²×C₄	—	4	4	no	—
1454	C₂²×C₄	—	4	4	no	—
1455	C₂²×C₄	—	4	4	no	—
1456	C₂²×C₄	—	4	4	no	—
1457	C₂²×C₄	—	4	4	no	—
1458	C₂²×C₄	—	4	4	no	—
1459	C₂²×C₄	C₂×#41	1	4	yes	—
1460	C₂²×C₄	C₂×#41	1	4	yes	—
1461	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
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	C₂²×C₄	C₂⁵	1	4	yes	—
1471	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1472	C₂²×C₄	C₂⁵	1	4	yes	—
1473	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1474	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1475	C₂²×C₄	C₂⁵	1	4	yes	—
1476	C₂²×C₄	C₂⁵	1	4	yes	—
1477	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1479	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1480	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1481	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1482	C₂²×C₄	C₂⁵	1	4	yes	—
1483	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1484	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1486	C₂²×C₄	C₂⁵	1	4	yes	—
1487	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1488	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1489	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1490	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1491	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1492	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1493	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1494	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1495	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1496	C₄⋊C₄	—	2	2	no	—
1497	C₄⋊C₄	—	2	2	no	—
1498	C₄⋊C₄	—	2	2	no	—
1499	C₄⋊C₄	—	2	2	no	—
1500	C₄⋊C₄	—	2	4	no	—
1501	C₄⋊C₄	—	2	2	no	—
1502	C₄⋊C₄	—	2	2	no	—
1503	C₄⋊C₄	—	2	2	no	—
1504	C₄⋊C₄	—	2	2	no	—
1505	C₄⋊C₄	—	2	2	no	—
1506	C₄⋊C₄	—	2	8	no	—
1507	C₄⋊C₄	—	2	4	no	—
1508	C₄⋊C₄	—	2	4	no	—
1509	C₄⋊C₄	—	2	4	no	—
1510	C₄⋊C₄	—	2	4	no	—
1511	C₄⋊C₄	—	2	4	no	—
1512	C₄⋊C₄	—	2	8	no	—
1513	C₄⋊C₄	—	2	4	no	—
1514	C₄⋊C₄	—	2	4	no	—
1515	C₄⋊C₄	—	2	2	no	—
1516	C₄⋊C₄	—	2	2	no	—
1517	C₄⋊C₄	—	2	4	no	—
1518	C₄⋊C₄	—	2	4	no	—
1519	C₄⋊C₄	—	2	4	no	—
1520	C₄⋊C₄	—	2	4	no	—
1521	C₄⋊C₄	—	2	4	no	—
1522	C₄⋊C₄	—	2	4	no	—
1523	C₄⋊C₄	—	4	4	no	—
1524	C₄⋊C₄	—	4	4	no	—
1525	C₄⋊C₄	—	4	1	no	—
1526	C₄⋊C₄	—	4	1	no	—
1527	C₄⋊C₄	—	4	1	no	—
1528	C₄⋊C₄	—	4	1	no	—
1529	C₄⋊C₄	—	4	4	no	—
1530	C₄⋊C₄	—	4	1	no	—
1531	C₄⋊C₄	—	4	1	no	—
1532	C₄⋊C₄	—	4	1	no	—
1533	C₄⋊C₄	—	4	1	no	—
1534	C₄⋊C₄	—	4	4	no	—
1535	C₄⋊C₄	—	4	1	no	—
1536	C₄⋊C₄	—	4	1	no	—
1537	C₄⋊C₄	—	4	1	no	—
1538	C₄⋊C₄	—	4	1	no	—
1539	C₄⋊C₄	—	4	1	no	—
1540	C₄⋊C₄	—	4	1	no	—
1541	C₄⋊C₄	—	4	4	no	—
1542	C₄⋊C₄	—	4	4	no	—
1543	C₄⋊C₄	—	4	4	no	—
1544	C₄⋊C₄	—	4	4	no	—
1545	C₄⋊C₄	—	4	4	no	—
1546	C₄⋊C₄	—	4	4	no	—
1547	C₄⋊C₄	—	4	4	no	—
1548	C₄⋊C₄	—	4	4	no	—
1549	C₄⋊C₄	—	4	4	no	—
1550	C₄⋊C₄	—	4	4	no	—
1551	C₄⋊C₄	C₂×#41	1	4	yes	—
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	—	2	8	no	—
1562	C₂²⋊C₄	—	2	8	no	—
1563	C₂²⋊C₄	—	2	8	no	—
1564	C₂²⋊C₄	—	2	8	no	—
1565	C₂²⋊C₄	—	2	2	no	—
1566	C₂²⋊C₄	—	2	2	no	—
1567	C₂²⋊C₄	—	2	8	no	—
1568	C₂²⋊C₄	—	2	2	no	—
1569	C₂²⋊C₄	—	2	8	no	—
1570	C₂²⋊C₄	—	2	2	no	—
1571	C₂²⋊C₄	—	4	4	no	—
1572	C₂²⋊C₄	—	4	4	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	4	no	—
1578	C₂²⋊C₄	—	4	4	no	—
1579	C₂²⋊C₄	—	4	4	no	—
1580	C₂²⋊C₄	—	4	1	no	—
1581	C₂²⋊C₄	—	4	1	no	—
1582	C₂²⋊C₄	—	4	4	no	—
1583	C₂²⋊C₄	—	4	1	no	—
1584	C₂²⋊C₄	—	4	1	no	—
1585	C₂²⋊C₄	—	4	1	no	—
1586	C₂²⋊C₄	—	4	1	no	—
1587	C₂²⋊C₄	—	4	1	no	—
1588	C₂²⋊C₄	—	4	1	no	—
1589	C₂²⋊C₄	—	4	4	no	—
1590	C₂²⋊C₄	—	4	4	no	—
1591	C₂²⋊C₄	—	4	4	no	—
1592	C₂²⋊C₄	—	4	4	no	—
1593	C₂²⋊C₄	—	4	4	no	—
1594	C₂²⋊C₄	—	4	4	no	—
1595	C₂²⋊C₄	—	4	4	no	—
1596	C₂²⋊C₄	—	4	4	no	—
1597	C₂²⋊C₄	—	4	4	no	—
1598	C₂²⋊C₄	—	4	4	no	—
1599	C₂²⋊C₄	—	4	4	no	—
1600	C₂²⋊C₄	—	4	4	no	—
1601	C₂²⋊C₄	—	4	4	no	—
1602	C₂²⋊C₄	—	4	4	no	—
1603	C₂²⋊C₄	—	4	4	no	—
1604	C₂²⋊C₄	—	4	4	no	—
1605	C₂²⋊C₄	—	4	4	no	—
1606	C₂²⋊C₄	—	4	4	no	—
1607	C₂²⋊C₄	—	4	4	no	—
1608	C₂²⋊C₄	—	4	4	no	—
1609	C₂²⋊C₄	—	4	4	no	—
1610	C₂²⋊C₄	—	4	4	no	—
1611	C₂²⋊C₄	—	4	4	no	—
1612	C₂²⋊C₄	—	4	4	no	—
1613	C₂²⋊C₄	—	4	4	no	—
1614	C₂²⋊C₄	—	4	4	no	—
1615	C₂²⋊C₄	—	4	4	no	—
1616	C₂²⋊C₄	—	4	4	no	—
1617	C₂²⋊C₄	—	4	4	no	—
1618	C₂²⋊C₄	—	4	4	no	—
1619	C₂²⋊C₄	—	4	4	no	—
1620	C₂²⋊C₄	—	4	4	no	—
1621	C₂²⋊C₄	—	4	4	no	—
1622	C₂²⋊C₄	C₂×#41	1	4	yes	—
1623	C₂²⋊C₄	C₂×#41	1	4	yes	—
1624	C₄²	—	2	2	no	—
1625	C₄²	—	2	2	no	—
1626	C₄²	—	2	2	no	—
1627	C₄²	—	2	2	no	—
1628	C₄²	—	2	2	no	—
1629	C₄²	—	2	2	no	—
1630	C₄²	—	2	2	no	—
1631	C₄²	—	2	2	no	—
1632	C₄²	—	2	2	no	—
1633	C₄²	—	2	2	no	—
1634	C₄²	—	2	2	no	—
1635	C₄²	—	2	2	no	—
1636	C₄²	—	2	2	no	—
1637	C₄²	—	2	2	no	—
1638	C₄²	—	2	2	no	—
1639	C₄²	—	2	2	no	—
1640	C₄²	—	2	2	no	—
1641	C₄²	—	2	2	no	—
1642	C₄²	—	2	2	no	—
1643	C₄²	—	2	2	no	—
1644	C₄²	—	2	2	no	—
1645	C₄²	—	2	2	no	—
1646	C₄²	—	2	2	no	—
1647	C₄²	—	2	2	no	—
1648	C₄²	—	2	2	no	—
1649	C₄²	—	2	2	no	—
1650	C₄²	—	2	2	no	—
1651	C₄²	—	2	2	no	—
1652	C₄²	—	2	2	no	—
1653	C₄²	—	2	2	no	—
1654	C₄²	—	2	2	no	—
1655	C₄²	—	2	2	no	—
1656	C₄²	—	2	2	no	—
1657	C₄²	—	2	2	no	—
1658	C₄²	—	2	2	no	—
1659	C₄²	—	2	2	no	—
1660	C₄²	—	4	1	no	—
1661	C₄²	—	4	1	no	—
1662	C₄²	—	4	1	no	—
1663	C₄²	—	4	1	no	—
1664	C₄²	—	4	1	no	—
1665	C₄²	—	4	1	no	—
1666	C₄²	—	4	1	no	—
1667	C₄²	—	4	1	no	—
1668	C₄²	—	4	4	no	—
1669	C₄²	—	4	4	no	—
1670	C₄²	—	4	4	no	—
1671	C₄²	—	4	4	no	—
1672	C₄²	—	4	4	no	—
1673	C₄²	—	4	4	no	—
1674	C₄²	C₂×#41	1	4	yes	—
1675	C₄²	H(5,𝔽₂)	1	4	yes	—
1676	C₂³	—	2	1	no	—
1677	C₂³	—	2	1	no	—
1678	C₂³	—	2	1	no	—
1679	C₂³	—	2	1	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	1	no	—
1685	C₂³	—	2	1	no	—
1686	C₂³	—	2	1	no	—
1687	C₂³	—	2	1	no	—
1688	C₂³	—	2	1	no	—
1689	C₂³	—	2	1	no	—
1690	C₂³	—	2	1	no	—
1691	C₂³	—	2	1	no	—
1692	C₂³	—	2	1	no	—
1693	C₂³	—	2	1	no	—
1694	C₂³	—	2	4	no	—
1695	C₂³	—	2	4	no	—
1696	C₂³	—	2	4	no	—
1697	C₂³	—	2	4	no	—
1698	C₂³	—	2	4	no	—
1699	C₂³	—	2	4	no	—
1700	C₂³	—	2	4	no	—
1701	C₂³	—	2	4	no	—
1702	C₂³	—	2	4	no	—
1703	C₂³	—	2	4	no	—
1704	C₂³	—	2	4	no	—
1705	C₂³	—	2	4	no	—
1706	C₂³	—	2	4	no	—
1707	C₂³	—	2	4	no	—
1708	C₂³	—	8	8	no	—
1709	C₂³	—	8	8	no	—
1710	C₂³	—	8	8	no	—
1711	C₂³	—	8	8	no	—
1712	C₂³	—	8	8	no	—
1713	C₂³	—	16	4	no	—
1714	C₂³	—	16	4	no	—
1715	C₂³	C₂²×#41	1	2	yes	—
1716	C₂³	C₂²×#41	1	2	yes	—
1717	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1718	C₂³	C₂⁶	1	1	yes	characteristic
1719	Q₈	—	4	4	no	—
1720	Q₈	—	4	8	no	—
1721	Q₈	—	4	8	no	—
1722	Q₈	—	4	8	no	—
1723	Q₈	—	4	8	no	—
1724	Q₈	—	8	8	no	—
1725	D₄	—	4	4	no	—
1726	D₄	—	4	4	no	—
1727	D₄	—	4	4	no	—
1728	D₄	—	4	8	no	—
1729	D₄	—	4	8	no	—
1730	D₄	—	4	8	no	—
1731	D₄	—	4	8	no	—
1732	D₄	—	4	8	no	—
1733	D₄	—	4	8	no	—
1734	D₄	—	8	8	no	—
1735	D₄	—	8	8	no	—
1736	D₄	—	8	8	no	—
1737	D₄	—	8	8	no	—
1738	D₄	—	8	8	no	—
1739	D₄	—	8	8	no	—
1740	D₄	—	8	8	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	8	no	—
1752	C₂×C₄	—	2	8	no	—
1753	C₂×C₄	—	2	8	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	4	no	—
1762	C₂×C₄	—	2	4	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	4	no	—
1777	C₂×C₄	—	2	4	no	—
1778	C₂×C₄	—	2	4	no	—
1779	C₂×C₄	—	2	4	no	—
1780	C₂×C₄	—	2	4	no	—
1781	C₂×C₄	—	2	4	no	—
1782	C₂×C₄	—	2	4	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	4	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	2	1	no	—
1812	C₂×C₄	—	2	1	no	—
1813	C₂×C₄	—	2	1	no	—
1814	C₂×C₄	—	2	1	no	—
1815	C₂×C₄	—	2	1	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	4	no	—
1819	C₂×C₄	—	2	4	no	—
1820	C₂×C₄	—	2	4	no	—
1821	C₂×C₄	—	2	4	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	4	no	—
1824	C₂×C₄	—	2	4	no	—
1825	C₂×C₄	—	2	4	no	—
1826	C₂×C₄	—	2	4	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	2	1	no	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	4	4	no	—
1833	C₂×C₄	—	4	4	no	—
1834	C₂×C₄	—	4	4	no	—
1835	C₂×C₄	—	4	4	no	—
1836	C₂×C₄	—	4	4	no	—
1837	C₂×C₄	—	4	4	no	—
1838	C₂×C₄	—	4	4	no	—
1839	C₂×C₄	—	4	4	no	—
1840	C₂×C₄	—	4	4	no	—
1841	C₂×C₄	—	4	4	no	—
1842	C₂×C₄	—	8	8	no	—
1843	C₂×C₄	—	8	8	no	—
1844	C₂×C₄	—	8	8	no	—
1845	C₂×C₄	—	8	8	no	—
1846	C₂×C₄	—	16	4	no	—
1847	C₂×C₄	C₂²×#41	1	2	yes	—
1848	C₂×C₄	C₂²×#41	1	2	yes	—
1849	C₂×C₄	C₂²×#41	1	2	yes	—
1850	C₂×C₄	C₂²×#41	1	2	yes	—
1851	C₂×C₄	C₂²×#41	1	2	yes	—
1852	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1853	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1854	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1855	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1856	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1857	C₂×C₄	#585	1	2	yes	—
1858	C₂×C₄	#585	1	2	yes	—
1859	C₂×C₄	#585	1	2	yes	—
1860	C₂×C₄	#585	1	2	yes	—
1861	C₂²	—	2	2	no	—
1862	C₂²	—	2	2	no	—
1863	C₂²	—	2	2	no	—
1864	C₂²	—	2	2	no	—
1865	C₂²	—	2	2	no	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	2	no	—
1868	C₂²	—	2	2	no	—
1869	C₂²	—	2	2	no	—
1870	C₂²	—	4	1	no	—
1871	C₂²	—	4	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	4	no	—
1883	C₂²	—	4	4	no	—
1884	C₂²	—	4	4	no	—
1885	C₂²	—	4	4	no	—
1886	C₂²	—	4	4	no	—
1887	C₂²	—	4	4	no	—
1888	C₂²	—	4	4	no	—
1889	C₂²	—	4	4	no	—
1890	C₂²	—	4	4	no	—
1891	C₂²	—	4	4	no	—
1892	C₂²	—	4	4	no	—
1893	C₂²	—	4	4	no	—
1894	C₂²	—	4	4	no	—
1895	C₂²	—	4	4	no	—
1896	C₂²	—	16	16	no	—
1897	C₂²	C₂³×#41	1	1	yes	characteristic
1898	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1899	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1900	C₂²	C₂×#585	1	1	yes	characteristic
1901	C₂²	C₂×#585	1	1	yes	characteristic
1902	C₂²	C₂×#585	1	1	yes	characteristic
1903	C₂²	C₂×#585	1	1	yes	characteristic
1904	C₄	—	2	2	no	—
1905	C₄	—	2	2	no	—
1906	C₄	—	2	2	no	—
1907	C₄	—	2	2	no	—
1908	C₄	—	2	2	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	4	no	—
1912	C₄	—	4	4	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	4	1	no	—
1915	C₄	—	4	1	no	—
1916	C₄	—	4	4	no	—
1917	C₄	—	4	1	no	—
1918	C₄	—	4	4	no	—
1919	C₄	—	4	1	no	—
1920	C₄	—	4	4	no	—
1921	C₄	—	4	1	no	—
1922	C₄	—	4	1	no	—
1923	C₄	—	4	1	no	—
1924	C₄	—	4	1	no	—
1925	C₄	—	4	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	1	no	—
1929	C₄	—	4	1	no	—
1930	C₄	—	4	4	no	—
1931	C₄	—	4	1	no	—
1932	C₄	—	4	1	no	—
1933	C₄	—	4	1	no	—
1934	C₄	—	4	1	no	—
1935	C₄	#3514	1	4	yes	—
1936	C₄	#3558	1	4	yes	—
1937	C₄	#3562	1	4	yes	—
1938	C₂	—	4	2	no	—
1939	C₂	—	4	2	no	—
1940	C₂	—	4	2	no	—
1941	C₂	—	8	4	no	—
1942	C₂	—	8	4	no	—
1943	C₂	C₂×#3558	1	1	yes	characteristic
1944	C₂	C₂×#3562	1	1	yes	characteristic
1945	C₂	C₂×#3514	1	1	yes	characteristic
1946	C₂	#62800	1	1	yes	characteristic
1947	C₂	#62815	1	1	yes	characteristic
1948	C₂	#62836	1	1	yes	characteristic
1949	C₂	#62839	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #59700	C₂	semidirect
2. #59484	C₂	semidirect
3. #59104	C₂	semidirect
4. #59103	C₂	semidirect
5. #46074	C₂	semidirect
6. #46073	C₂	semidirect
7. #45718	C₂	semidirect
8. #45701	C₂	semidirect
9. #40128	C₂	semidirect
10. #40056	C₂	semidirect
11. #40032	C₂	semidirect
12. #39960	C₂	semidirect
13. #39248	C₂	semidirect
14. #39212	C₂	semidirect
15. #39070	C₂	semidirect
16. #39069	C₂	semidirect
17. #39034	C₂	semidirect
18. #39020	C₂	semidirect
19. #38936	C₂	semidirect
20. #38902	C₂	semidirect
21. #37572	C₂	semidirect
22. #37371	C₂	semidirect
23. #37361	C₂	semidirect
24. #36639	C₂	semidirect
25. #36631	C₂	semidirect
26. #36609	C₂	semidirect
27. #36609	C₂	semidirect
28. #36151	C₂	semidirect
29. #36150	C₂	semidirect
30. #36129	C₂	semidirect
31. #36122	C₂	semidirect
32. #36121	C₂	semidirect
33. #36121	C₂	semidirect
34. #35291	C₂	semidirect
35. #35289	C₂	semidirect
36. #35288	C₂	semidirect
37. #35285	C₂	semidirect
38. #34495	C₂	semidirect
39. C₄×#529	C₂	semidirect
40. C₂×#548	C₂²	semidirect
44. C₂×#533	C₂²	semidirect
47. C₂²×C₄⋊Q₈	C₂²	semidirect
50. C₂×#529	C₂²	semidirect
51. #2862	C₂²	semidirect
52. #2862	C₂²	semidirect
53. #2862	C₂²	semidirect
54. #2861	C₂²	semidirect
55. #2861	C₂²	semidirect
56. #2861	C₂²	semidirect
57. #2860	C₂²	semidirect
58. #2860	C₂²	semidirect
59. #2859	C₂²	semidirect
68. #2857	C₂²	semidirect
69. #2857	C₂²	semidirect
72. #2854	C₂²	semidirect
73. #2854	C₂²	semidirect
74. #2850	C₂²	semidirect
75. #2850	C₂²	semidirect
76. #2850	C₂²	semidirect
77. #2850	C₂²	semidirect
78. #2850	C₂²	semidirect
79. #2837	C₂²	semidirect
80. #2832	C₂²	semidirect
81. #2808	C₂²	semidirect
82. #2800	C₂²	semidirect
83. #2797	C₂²	semidirect
84. #2785	C₂²	semidirect
85. #2781	C₂²	semidirect
86. #2781	C₂²	semidirect
87. #2778	C₂²	semidirect
88. #2778	C₂²	semidirect
89. #2756	C₂²	semidirect
90. #2756	C₂²	semidirect
91. #2753	C₂²	semidirect
92. #2753	C₂²	semidirect
93. #2751	C₂²	semidirect
94. #2750	C₂²	semidirect
95. #2741	C₂²	semidirect
96. #2741	C₂²	semidirect
97. #2740	C₂²	semidirect
102. #2710	C₂²	semidirect
103. #2708	C₂²	semidirect
104. #2703	C₂²	semidirect
106. #2696	C₂²	semidirect
107. #2694	C₂²	semidirect
108. #2688	C₂²	semidirect
109. #2686	C₂²	semidirect
113. #2663	C₂²	semidirect
114. #2653	C₂²	semidirect
115. #2653	C₂²	semidirect
116. #2649	C₂²	semidirect
117. #2645	C₂²	semidirect
118. #2644	C₂²	semidirect
121. #2640	C₂²	semidirect
122. #2640	C₂²	semidirect
124. #2624	C₂²	semidirect
125. #2602	C₂²	semidirect
126. #2595	C₂²	semidirect
127. #2592	C₂²	semidirect
128. #2592	C₂²	semidirect
129. #2592	C₂²	semidirect
130. #2592	C₂²	semidirect
131. #2580	C₂²	semidirect
132. #2580	C₂²	semidirect
133. #2578	C₂²	semidirect
134. #2572	C₂²	semidirect
135. #2563	C₂²	semidirect
136. #2563	C₂²	semidirect
138. #2560	C₂²	semidirect
139. #2559	C₂²	semidirect
140. #2553	C₂²	semidirect
141. #2550	C₂²	semidirect
146. #2547	C₂²	semidirect
147. #2547	C₂²	semidirect
148. #2545	C₂²	semidirect
151. #2540	C₂²	semidirect
153. #2518	C₂²	semidirect
154. #2514	C₂²	semidirect
155. #2513	C₂²	semidirect
156. #2513	C₂²	semidirect
157. #2513	C₂²	semidirect
158. #2513	C₂²	semidirect
159. #2513	C₂²	semidirect
160. #2509	C₂²	semidirect
161. #2508	C₂²	semidirect
162. #2504	C₂²	semidirect
163. #2504	C₂²	semidirect
167. #2491	C₂²	semidirect
168. #2491	C₂²	semidirect
169. #2490	C₂²	semidirect
170. #2490	C₂²	semidirect
173. #2489	C₂²	semidirect
176. #2477	C₂²	semidirect
177. #2470	C₂²	semidirect
178. #2467	C₂²	semidirect
179. #2464	C₂²	semidirect
180. #2459	C₂²	semidirect
181. #2454	C₂²	semidirect
182. #2454	C₂²	semidirect
183. #2453	C₂²	semidirect
184. #2453	C₂²	semidirect
185. #2453	C₂²	semidirect
186. #2452	C₂²	semidirect
187. #2452	C₂²	semidirect
188. #2451	C₂²	semidirect
189. #2448	C₂²	semidirect
190. #2448	C₂²	semidirect
191. #2448	C₂²	semidirect
192. #2448	C₂²	semidirect
193. #2448	C₂²	semidirect
194. #2448	C₂²	semidirect
195. #2447	C₂²	semidirect
196. #2447	C₂²	semidirect
197. #2447	C₂²	semidirect
198. #2447	C₂²	semidirect
199. #2447	C₂²	semidirect
200. #2446	C₂²	semidirect
205. #2442	C₂²	semidirect
207. #2436	C₂²	semidirect
208. #2436	C₂²	semidirect
209. #2436	C₂²	semidirect
216. #2432	C₂²	semidirect
224. #2427	C₂²	semidirect
225. #2427	C₂²	semidirect
226. #2426	C₂²	semidirect
227. #2426	C₂²	semidirect
228. #2426	C₂²	semidirect
231. #2421	C₂²	semidirect
232. #2420	C₂²	semidirect
233. #2420	C₂²	semidirect
236. #2416	C₂²	semidirect
237. #2416	C₂²	semidirect
240. #2414	C₂²	semidirect
246. #2407	C₂²	semidirect
247. #2376	C₂²	semidirect
249. #2367	C₂²	semidirect
250. #2367	C₂²	semidirect
251. #2367	C₂²	semidirect
252. #2367	C₂²	semidirect
253. #2367	C₂²	semidirect
254. #2363	C₂²	semidirect
255. #2363	C₂²	semidirect
257. #2362	C₂²	semidirect
258. #2361	C₂²	semidirect
259. #2361	C₂²	semidirect
260. #2360	C₂²	semidirect
261. #2357	C₂²	semidirect
262. #2357	C₂²	semidirect
264. #2351	C₂²	semidirect
266. #2341	C₂²	semidirect
267. Q₈×C₂²⋊C₄	C₂²	semidirect
272. #2335	C₂²	semidirect
273. #2333	C₂²	semidirect
274. #2324	C₂²	semidirect
277. #2320	C₂²	semidirect
278. #2319	C₂²	semidirect
280. #2311	C₂²	semidirect
281. #2311	C₂²	semidirect
284. C₄×C₄⋊Q₈	C₂²	semidirect
285. C₄×C₄⋊Q₈	C₂²	semidirect
286. C₄×C₄⋊Q₈	C₂²	semidirect
287. C₄×C₄⋊Q₈	C₂²	semidirect
290. C₄×#125	C₂²	semidirect
291. C₄×#125	C₂²	semidirect
294. C₄×#126	C₂²	semidirect
295. C₄×#126	C₂²	semidirect
298. C₄×#124	C₂²	semidirect
299. C₄×#124	C₂²	semidirect
300. C₄×#124	C₂²	semidirect
301. C₄×#124	C₂²	semidirect
302. C₄×#124	C₂²	semidirect
303. C₄×C₂²⋊Q₈	C₂²	semidirect
304. C₄×C₂²⋊Q₈	C₂²	semidirect
307. C₄×#123	C₂²	semidirect
308. C₄×#123	C₂²	semidirect
311. C₄×#121	C₂²	semidirect
312. C₄×#121	C₂²	semidirect
314. #2298	C₂²	semidirect
315. #2297	C₂²	semidirect
316. #2297	C₂²	semidirect
317. #2295	C₂²	semidirect
319. #2293	C₂²	semidirect
320. #2293	C₂²	semidirect
322. #2290	C₂²	semidirect
323. #2283	C₂²	semidirect
324. C₄²×Q₈	C₂²	semidirect
327. C₄²×D₄	C₂²	semidirect
329. C₄×#117	C₂²	semidirect
330. C₂×C₄³	C₂²	semidirect
1053. C₄×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#59700	2
#59484	2
#59104	2
#59103	2
#46074	2
#46073	2
#45718	2
#45701	2
#40128	2
#40056	2
#40032	2
#39960	2
#39248	2
#39212	2
#39070	2
#39069	2
#39034	2
#39020	2
#38936	2
#38902	2
#37572	2
#37371	2
#37361	2
#36639	2
#36631	2
#36609	2
#36151	2
#36150	2
#36129	2
#36122	2
#36121	2
#35291	2
#35289	2
#35288	2
#35285	2
#34495	2
C₄×#529	2