Subgroups — #7671603

Order 512.

5741 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59581	C₂	1	2	yes	maximal, complemented
2	#59568	C₂	1	2	yes	maximal, complemented
3	#59549	C₂	1	2	yes	maximal, complemented
4	#59488	C₂	1	2	yes	maximal, complemented
5	#59487	C₂	1	2	yes	maximal, complemented
6	#59484	C₂	1	2	yes	maximal, complemented
7	#59086	C₂	1	2	yes	maximal, complemented
8	#59044	C₂	1	2	yes	maximal, complemented
9	#39256	C₂	1	2	yes	maximal, complemented
10	#39042	C₂	1	2	yes	maximal, complemented
11	#39024	C₂	1	2	yes	maximal, complemented
12	#39020	C₂	1	2	yes	maximal, complemented
13	#39001	C₂	1	2	yes	maximal, complemented
14	#38997	C₂	1	2	yes	maximal, complemented
15	#38228	C₂	1	2	yes	maximal, complemented
16	#38206	C₂	1	2	yes	maximal, complemented
17	#36631	C₂	1	1	yes	maximal, characteristic, complemented
18	#36609	C₂	1	1	yes	maximal, characteristic, complemented
19	#36559	C₂	1	1	yes	maximal, characteristic, complemented
20	#36253	C₂	1	2	yes	maximal, complemented
21	#36238	C₂	1	2	yes	maximal, complemented
22	#36231	C₂	1	2	yes	maximal, complemented
23	#36216	C₂	1	2	yes	maximal, complemented
24	#36210	C₂	1	1	yes	maximal, characteristic, complemented
25	#36209	C₂	1	1	yes	maximal, characteristic, complemented
26	#36187	C₂	1	1	yes	maximal, characteristic, complemented
27	#36149	C₂	1	1	yes	maximal, characteristic, complemented
28	#36121	C₂	1	1	yes	maximal, characteristic, complemented
29	#36121	C₂	1	1	yes	maximal, characteristic, complemented
30	#35546	C₂	1	2	yes	maximal, complemented
31	#35522	C₂	1	2	yes	maximal, complemented
32	#35288	C₂	1	1	yes	maximal, characteristic, complemented
33	#35283	C₂	1	1	yes	maximal, characteristic, complemented
34	#35193	C₂	1	2	yes	maximal, complemented
35	#34261	C₂	1	2	yes	maximal, complemented
36	#34226	C₂	1	1	yes	maximal, characteristic, complemented
37	#34210	C₂	1	1	yes	maximal, characteristic, complemented
38	C₄×#532	C₂	1	1	yes	maximal, characteristic, complemented
39	C₄×#529	C₂	1	1	yes	maximal, characteristic, complemented
40	C₂×#555	C₂²	1	2	yes	complemented
41	C₂×#554	C₂²	1	2	yes	complemented
42	C₂×#546	C₂²	1	2	yes	—
43	C₂×#546	C₂²	1	2	yes	—
44	C₂×#532	C₂²	1	1	yes	characteristic
45	C₂×#532	C₂²	1	1	yes	characteristic
46	C₂²×#127	C₂²	1	1	yes	characteristic
47	C₂×#529	C₂²	1	1	yes	characteristic
48	C₂×#529	C₂²	1	2	yes	complemented
49	C₂×#518	C₂²	1	2	yes	—
50	C₂×C₄×#41	C₂²	1	2	yes	complemented
51	#2868	C₂²	1	1	yes	characteristic, complemented
52	#2862	C₂²	1	1	yes	characteristic, complemented
53	#2861	C₂²	1	2	yes	complemented
54	#2860	C₂²	1	2	yes	complemented
55	#2860	C₂²	1	2	yes	complemented
56	#2859	C₂²	1	1	yes	characteristic, complemented
57	#2859	C₂²	1	1	yes	characteristic, complemented
58	#2858	C₂²	1	1	yes	characteristic
59	#2858	C₂²	1	1	yes	characteristic
60	#2857	C₂²	1	1	yes	characteristic
61	#2857	C₂²	1	1	yes	characteristic
62	#2857	C₂²	1	1	yes	characteristic, complemented
63	#2857	C₂²	1	1	yes	characteristic, complemented
64	#2856	C₂²	1	1	yes	characteristic
65	#2856	C₂²	1	1	yes	characteristic
66	#2854	C₂²	1	2	yes	complemented
67	#2854	C₂²	1	2	yes	complemented
68	#2853	C₂²	1	4	yes	complemented
69	#2850	C₂²	1	2	yes	complemented
70	#2850	C₂²	1	4	yes	complemented
71	#2778	C₂²	1	4	yes	complemented
72	#2756	C₂²	1	4	yes	complemented
73	#2753	C₂²	1	4	yes	complemented
74	#2750	C₂²	1	4	yes	complemented
75	#2749	C₂²	1	4	yes	complemented
76	#2746	C₂²	1	4	yes	complemented
77	#2741	C₂²	1	4	yes	complemented
78	#2737	C₂²	1	4	yes	complemented
79	#2736	C₂²	1	4	yes	—
80	#2735	C₂²	1	4	yes	—
81	#2723	C₂²	1	4	yes	complemented
82	#2702	C₂²	1	4	yes	complemented
83	#2695	C₂²	1	4	yes	complemented
84	#2688	C₂²	1	4	yes	complemented
85	#2685	C₂²	1	4	yes	—
86	#2684	C₂²	1	4	yes	—
87	#2653	C₂²	1	4	yes	complemented
88	#2648	C₂²	1	4	yes	complemented
89	#2647	C₂²	1	2	yes	complemented
90	#2644	C₂²	1	2	yes	complemented
91	#2628	C₂²	1	2	yes	—
92	#2624	C₂²	1	2	yes	complemented
93	#2610	C₂²	1	4	yes	complemented
94	#2609	C₂²	1	4	yes	complemented
95	#2597	C₂²	1	4	yes	complemented
96	#2592	C₂²	1	2	yes	complemented
97	#2592	C₂²	1	2	yes	complemented
98	#2591	C₂²	1	4	yes	complemented
99	#2580	C₂²	1	2	yes	complemented
100	#2578	C₂²	1	4	yes	complemented
101	#2578	C₂²	1	4	yes	complemented
102	#2576	C₂²	1	4	yes	complemented
103	#2572	C₂²	1	4	yes	complemented
104	#2566	C₂²	1	2	yes	complemented
105	#2566	C₂²	1	2	yes	complemented
106	#2563	C₂²	1	2	yes	complemented
107	#2563	C₂²	1	2	yes	complemented
108	#2562	C₂²	1	2	yes	—
109	#2561	C₂²	1	4	yes	—
110	#2557	C₂²	1	4	yes	complemented
111	#2544	C₂²	1	2	yes	—
112	#2544	C₂²	1	2	yes	—
113	#2538	C₂²	1	2	yes	complemented
114	#2538	C₂²	1	2	yes	complemented
115	#2537	C₂²	1	2	yes	complemented
116	#2537	C₂²	1	2	yes	complemented
117	#2536	C₂²	1	2	yes	—
118	#2535	C₂²	1	2	yes	complemented
119	#2526	C₂²	1	4	yes	complemented
120	#2518	C₂²	1	4	yes	complemented
121	#2514	C₂²	1	2	yes	complemented
122	#2513	C₂²	1	2	yes	complemented
123	#2513	C₂²	1	2	yes	complemented
124	#2513	C₂²	1	2	yes	complemented
125	#2511	C₂²	1	2	yes	complemented
126	#2511	C₂²	1	2	yes	complemented
127	#2509	C₂²	1	2	yes	complemented
128	#2508	C₂²	1	2	yes	complemented
129	#2508	C₂²	1	2	yes	complemented
130	#2500	C₂²	1	2	yes	complemented
131	#2500	C₂²	1	2	yes	complemented
132	#2498	C₂²	1	4	yes	complemented
133	#2495	C₂²	1	2	yes	—
134	#2495	C₂²	1	2	yes	complemented
135	#2495	C₂²	1	2	yes	complemented
136	#2494	C₂²	1	2	yes	—
137	#2494	C₂²	1	2	yes	complemented
138	#2492	C₂²	1	2	yes	—
139	#2492	C₂²	1	2	yes	—
140	#2491	C₂²	1	2	yes	complemented
141	#2491	C₂²	1	2	yes	complemented
142	#2491	C₂²	1	2	yes	complemented
143	#2491	C₂²	1	2	yes	complemented
144	#2490	C₂²	1	2	yes	complemented
145	#2489	C₂²	1	2	yes	—
146	#2489	C₂²	1	2	yes	complemented
147	#2488	C₂²	1	4	yes	complemented
148	#2488	C₂²	1	4	yes	complemented
149	#2485	C₂²	1	2	yes	—
150	#2485	C₂²	1	2	yes	—
151	#2485	C₂²	1	2	yes	—
152	#2482	C₂²	1	4	yes	—
153	#2480	C₂²	1	4	yes	—
154	#2477	C₂²	1	4	yes	complemented
155	#2476	C₂²	1	4	yes	complemented
156	#2472	C₂²	1	4	yes	—
157	#2472	C₂²	1	4	yes	—
158	#2470	C₂²	1	4	yes	complemented
159	#2467	C₂²	1	4	yes	complemented
160	#2464	C₂²	1	4	yes	complemented
161	#2463	C₂²	1	4	yes	complemented
162	#2461	C₂²	1	4	yes	complemented
163	#2460	C₂²	1	4	yes	complemented
164	#2459	C₂²	1	4	yes	complemented
165	#2457	C₂²	1	4	yes	complemented
166	#2456	C₂²	1	4	yes	complemented
167	#2454	C₂²	1	2	yes	complemented
168	#2452	C₂²	1	2	yes	complemented
169	#2452	C₂²	1	2	yes	complemented
170	#2452	C₂²	1	2	yes	complemented
171	#2452	C₂²	1	2	yes	complemented
172	#2451	C₂²	1	2	yes	complemented
173	#2451	C₂²	1	2	yes	complemented
174	#2448	C₂²	1	2	yes	complemented
175	#2448	C₂²	1	2	yes	complemented
176	#2448	C₂²	1	2	yes	complemented
177	#2447	C₂²	1	2	yes	complemented
178	#2447	C₂²	1	2	yes	complemented
179	#2447	C₂²	1	2	yes	complemented
180	#2447	C₂²	1	2	yes	complemented
181	#2447	C₂²	1	2	yes	complemented
182	#2445	C₂²	1	2	yes	—
183	#2445	C₂²	1	2	yes	—
184	#2445	C₂²	1	2	yes	—
185	#2445	C₂²	1	2	yes	—
186	#2444	C₂²	1	4	yes	complemented
187	#2443	C₂²	1	4	yes	complemented
188	#2435	C₂²	1	2	yes	—
189	#2435	C₂²	1	2	yes	—
190	#2431	C₂²	1	2	yes	—
191	#2431	C₂²	1	2	yes	—
192	#2428	C₂²	1	2	yes	—
193	#2428	C₂²	1	2	yes	—
194	#2428	C₂²	1	2	yes	—
195	#2428	C₂²	1	2	yes	—
196	#2427	C₂²	1	2	yes	complemented
197	#2427	C₂²	1	2	yes	complemented
198	#2427	C₂²	1	2	yes	complemented
199	#2427	C₂²	1	4	yes	complemented
200	#2426	C₂²	1	2	yes	complemented
201	#2424	C₂²	1	4	yes	—
202	#2423	C₂²	1	2	yes	—
203	#2423	C₂²	1	2	yes	—
204	#2421	C₂²	1	2	yes	—
205	#2420	C₂²	1	2	yes	complemented
206	#2420	C₂²	1	2	yes	complemented
207	#2420	C₂²	1	2	yes	complemented
208	#2418	C₂²	1	4	yes	—
209	#2418	C₂²	1	4	yes	—
210	#2415	C₂²	1	2	yes	—
211	#2408	C₂²	1	2	yes	—
212	#2408	C₂²	1	2	yes	—
213	#2408	C₂²	1	2	yes	—
214	#2408	C₂²	1	2	yes	—
215	#2407	C₂²	1	2	yes	complemented
216	#2407	C₂²	1	2	yes	complemented
217	#2370	C₂²	1	2	yes	complemented
218	#2367	C₂²	1	2	yes	complemented
219	#2367	C₂²	1	2	yes	complemented
220	#2367	C₂²	1	2	yes	complemented
221	#2367	C₂²	1	2	yes	complemented
222	#2366	C₂²	1	2	yes	—
223	#2366	C₂²	1	2	yes	—
224	#2366	C₂²	1	2	yes	—
225	#2366	C₂²	1	2	yes	—
226	#2363	C₂²	1	2	yes	complemented
227	#2363	C₂²	1	2	yes	complemented
228	#2362	C₂²	1	2	yes	complemented
229	#2357	C₂²	1	2	yes	complemented
230	#2357	C₂²	1	2	yes	complemented
231	#2356	C₂²	1	2	yes	complemented
232	#2354	C₂²	1	2	yes	complemented
233	#2354	C₂²	1	2	yes	complemented
234	#2353	C₂²	1	4	yes	complemented
235	#2352	C₂²	1	4	yes	complemented
236	#2349	C₂²	1	2	yes	complemented
237	#2349	C₂²	1	2	yes	complemented
238	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
239	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
240	#2347	C₂²	1	2	yes	—
241	#2346	C₂²	1	2	yes	—
242	#2346	C₂²	1	2	yes	complemented
243	#2342	C₂²	1	4	yes	—
244	#2342	C₂²	1	4	yes	—
245	#2341	C₂²	1	2	yes	complemented
246	#2339	C₂²	1	2	yes	complemented
247	#2339	C₂²	1	2	yes	complemented
248	#2339	C₂²	1	2	yes	complemented
249	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
250	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
251	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
252	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
253	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
254	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
255	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
256	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
257	#2331	C₂²	1	2	yes	complemented
258	#2328	C₂²	1	2	yes	—
259	#2328	C₂²	1	2	yes	—
260	#2324	C₂²	1	2	yes	complemented
261	#2324	C₂²	1	2	yes	complemented
262	#2324	C₂²	1	2	yes	complemented
263	#2319	C₂²	1	2	yes	complemented
264	#2319	C₂²	1	2	yes	complemented
265	#2318	C₂²	1	4	yes	complemented
266	#2314	C₂²	1	2	yes	—
267	#2312	C₂²	1	4	yes	—
268	#2309	C₂²	1	2	yes	—
269	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
270	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
271	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
272	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
273	C₄×#127	C₂²	1	1	yes	characteristic
274	C₄×#127	C₂²	1	1	yes	characteristic
275	C₄×#127	C₂²	1	1	yes	characteristic
276	C₄×#127	C₂²	1	1	yes	characteristic
277	C₄×#127	C₂²	1	1	yes	characteristic
278	C₄×#127	C₂²	1	1	yes	characteristic
279	C₄×#125	C₂²	1	1	yes	characteristic, complemented
280	C₄×#125	C₂²	1	1	yes	characteristic, complemented
281	C₄×#126	C₂²	1	1	yes	characteristic
282	C₄×#126	C₂²	1	1	yes	characteristic
283	C₄×#126	C₂²	1	1	yes	characteristic, complemented
284	C₄×#126	C₂²	1	1	yes	characteristic, complemented
285	C₄×#124	C₂²	1	1	yes	characteristic
286	C₄×#124	C₂²	1	1	yes	characteristic
287	C₄×#124	C₂²	1	2	yes	complemented
288	C₄×#124	C₂²	1	2	yes	complemented
289	C₄×#124	C₂²	1	2	yes	complemented
290	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
291	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
292	C₄×#123	C₂²	1	1	yes	characteristic
293	C₄×#123	C₂²	1	1	yes	characteristic
294	C₄×#123	C₂²	1	1	yes	characteristic, complemented
295	C₄×#123	C₂²	1	1	yes	characteristic, complemented
296	C₄×#121	C₂²	1	1	yes	characteristic
297	C₄×#121	C₂²	1	1	yes	characteristic
298	C₄×#121	C₂²	1	2	yes	complemented
299	C₄×#121	C₂²	1	2	yes	complemented
300	C₄×#121	C₂²	1	2	yes	complemented
301	C₄×#121	C₂²	1	2	yes	complemented
302	C₄×#121	C₂²	1	2	yes	complemented
303	C₄×#121	C₂²	1	2	yes	complemented
304	#2298	C₂²	1	1	yes	characteristic
305	#2298	C₂²	1	1	yes	characteristic, complemented
306	#2297	C₂²	1	2	yes	complemented
307	#2295	C₂²	1	1	yes	characteristic, complemented
308	#2293	C₂²	1	1	yes	characteristic
309	#2293	C₂²	1	2	yes	complemented
310	#2293	C₂²	1	2	yes	complemented
311	#2293	C₂²	1	2	yes	complemented
312	#2293	C₂²	1	2	yes	complemented
313	#2290	C₂²	1	1	yes	characteristic
314	#2290	C₂²	1	1	yes	characteristic, complemented
315	#2290	C₂²	1	4	yes	complemented
316	C₂×#388	C₂²	1	4	yes	—
317	#2285	C₂²	1	1	yes	characteristic
318	#2285	C₂²	1	1	yes	characteristic, complemented
319	#2285	C₂²	1	1	yes	characteristic, complemented
320	#2283	C₂²	1	1	yes	characteristic, complemented
321	#2275	C₂²	1	2	yes	complemented
322	C₄²×Q₈	C₂²	1	1	yes	characteristic, complemented
323	C₄²×D₄	C₂²	1	1	yes	characteristic
324	C₄²×D₄	C₂²	1	1	yes	characteristic
325	C₄²×D₄	C₂²	1	1	yes	characteristic, complemented
326	C₄²×D₄	C₂²	1	2	yes	complemented
327	C₄²×D₄	C₂²	1	2	yes	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×D₄	C₂³	1	2	yes	—
334	C₂³×D₄	C₂³	1	2	yes	—
335	C₂³×D₄	C₂³	1	2	yes	—
336	#555	—	4	8	no	—
337	#554	—	4	8	no	—
338	#546	—	4	8	no	—
339	#546	—	4	8	no	—
340	#532	—	2	8	no	—
341	#532	—	2	8	no	—
342	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
345	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
346	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
347	C₂×#127	—	2	8	no	—
348	C₂×#127	C₂³	1	1	yes	characteristic
349	C₂×#127	C₂³	1	2	yes	—
350	C₂×#127	C₂³	1	2	yes	—
351	C₂×#127	C₂³	1	2	yes	—
352	C₂×#127	C₂³	1	1	yes	characteristic
353	#529	—	2	8	no	—
354	#529	—	4	8	no	—
355	C₂×#126	C₂³	1	1	yes	characteristic
356	C₂×#126	C₂³	1	1	yes	characteristic
357	C₂×#126	C₂³	1	4	yes	—
358	C₂×#125	C₂³	1	1	yes	characteristic
359	C₂×#125	C₂³	1	2	yes	—
360	C₂×#125	C₂³	1	2	yes	—
361	C₂×#124	C₂³	1	2	yes	—
362	C₂×#124	C₂³	1	2	yes	—
363	C₂×#124	C₂³	1	1	yes	characteristic
364	C₂×#124	C₂³	1	2	yes	—
365	C₂×#124	C₂³	1	2	yes	—
366	C₂×#124	C₂³	1	2	yes	—
367	C₂×#124	C₂³	1	4	yes	—
368	C₂×#124	C₂³	1	2	yes	—
369	C₂×#124	C₂³	1	4	yes	—
370	C₂×#123	C₂³	1	1	yes	characteristic
371	C₂×#123	C₂³	1	1	yes	characteristic
372	C₂×#123	C₂³	1	4	yes	—
373	C₂×#123	C₂³	1	4	yes	—
374	C₂×#123	C₂³	1	4	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊Q₈	C₂³	1	4	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×C₂²⋊Q₈	C₂³	1	4	yes	—
382	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
383	C₂×#121	C₂³	1	2	yes	—
384	C₂×#121	C₂³	1	2	yes	—
385	C₂×#121	C₂³	1	2	yes	—
386	C₂×#121	C₂³	1	2	yes	—
387	C₂×#121	C₂³	1	2	yes	—
388	C₂×#121	C₂³	1	1	yes	characteristic
389	C₂×#121	C₂³	1	2	yes	—
390	C₂×#121	C₂³	1	4	yes	—
391	C₂×#121	C₂³	1	2	yes	—
392	C₂×#121	C₂³	1	2	yes	—
393	C₂×#121	C₂³	1	2	yes	—
394	C₂×#121	C₂³	1	2	yes	—
395	C₂×#121	C₂³	1	4	yes	—
396	C₂×#121	C₂³	1	4	yes	—
397	C₂×#120	C₂³	1	4	yes	—
398	C₂×#120	C₂³	1	4	yes	—
399	#518	—	2	16	no	—
400	C₄×#41	—	4	8	no	—
401	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
402	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
403	C₂×C₄×Q₈	C₂³	1	2	yes	—
404	C₂×C₄×Q₈	C₂³	1	2	yes	—
405	C₂×C₄×Q₈	C₂³	1	2	yes	—
406	C₂×C₄×Q₈	C₂³	1	2	yes	—
407	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
408	C₂×C₄×D₄	C₂³	1	2	yes	—
409	C₂×C₄×D₄	C₂³	1	2	yes	—
410	C₂×C₄×D₄	C₂³	1	2	yes	—
411	C₂×C₄×D₄	C₂³	1	2	yes	—
412	C₂×C₄×D₄	C₂³	1	2	yes	—
413	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
414	C₂×C₄×D₄	C₂³	1	4	yes	—
415	C₂×C₄×D₄	C₂³	1	2	yes	—
416	C₂×C₄×D₄	C₂³	1	2	yes	—
417	C₂×C₄×D₄	C₂³	1	2	yes	—
418	C₂×C₄×D₄	C₂³	1	2	yes	—
419	C₂×C₄×D₄	C₂³	1	4	yes	—
420	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
421	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
422	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
423	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
424	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
425	C₂×C₄×D₄	C₂³	1	2	yes	—
426	C₂×C₄×D₄	C₂³	1	2	yes	—
427	C₂×C₄×D₄	C₂³	1	2	yes	—
428	C₂×C₄×D₄	C₂³	1	2	yes	—
429	C₂×C₄×D₄	C₂³	1	2	yes	—
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	2	yes	—
437	C₂×C₄×D₄	C₂³	1	2	yes	—
438	C₂×C₄×D₄	C₂³	1	4	yes	—
439	C₂×C₄×D₄	C₂³	1	4	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×#117	C₂³	1	2	yes	—
445	C₂×#117	C₂³	1	1	yes	characteristic
446	C₂×#117	C₂³	1	2	yes	—
447	C₂×#117	C₂³	1	1	yes	characteristic
448	C₂×#117	C₂³	1	1	yes	characteristic
449	C₂×#117	C₂³	1	4	yes	—
450	C₂×#117	C₂³	1	4	yes	—
451	C₂×#117	C₂³	1	4	yes	—
452	C₂×#117	C₂³	1	2	yes	—
453	C₂×#117	C₂³	1	1	yes	characteristic
454	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
455	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
456	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
457	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
458	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
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	C₂²×C₄²	C₂³	1	4	yes	—
467	C₂²×C₄²	C₂³	1	1	yes	characteristic
468	C₂²×C₄²	C₂³	1	1	yes	characteristic
469	#401	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	#400	C₂³	1	4	yes	—
475	#400	C₂³	1	4	yes	—
476	#400	C₂³	1	4	yes	—
477	#399	C₂³	1	4	yes	—
478	#399	C₂³	1	4	yes	—
479	#399	C₂³	1	4	yes	—
480	#398	C₂³	1	4	yes	—
481	#398	C₂³	1	4	yes	—
482	#398	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	#396	C₂³	1	4	yes	—
499	#396	C₂³	1	4	yes	—
500	#396	C₂³	1	4	yes	—
501	#396	C₂³	1	4	yes	—
502	#396	C₂³	1	4	yes	—
503	#395	C₂³	1	4	yes	—
504	#394	C₂³	1	4	yes	—
505	#394	C₂³	1	4	yes	—
506	#394	C₂³	1	4	yes	—
507	#394	C₂³	1	4	yes	—
508	#394	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	#393	C₂³	1	4	yes	—
523	#393	C₂³	1	4	yes	—
524	#393	C₂³	1	4	yes	—
525	#393	C₂³	1	4	yes	—
526	#393	C₂³	1	4	yes	—
527	#393	C₂³	1	4	yes	—
528	#392	C₂³	1	4	yes	—
529	#392	C₂³	1	4	yes	—
530	#392	C₂³	1	4	yes	—
531	#392	C₂³	1	4	yes	—
532	#392	C₂³	1	4	yes	—
533	#391	C₂³	1	2	yes	—
534	#391	C₂³	1	2	yes	—
535	#391	C₂³	1	2	yes	—
536	#391	C₂³	1	2	yes	—
537	#391	C₂³	1	4	yes	—
538	#391	C₂³	1	4	yes	—
539	#391	C₂³	1	2	yes	—
540	#391	C₂³	1	2	yes	—
541	#391	C₂³	1	2	yes	—
542	#391	C₂³	1	2	yes	—
543	#391	C₂³	1	2	yes	—
544	#391	C₂³	1	2	yes	—
545	#391	C₂³	1	2	yes	—
546	#391	C₂³	1	2	yes	—
547	#391	C₂³	1	1	yes	characteristic
548	#391	C₂³	1	1	yes	characteristic
549	#390	C₂³	1	2	yes	—
550	#390	C₂³	1	2	yes	—
551	#390	C₂³	1	2	yes	—
552	#390	C₂³	1	2	yes	—
553	#390	C₂³	1	2	yes	—
554	#390	C₂³	1	2	yes	—
555	#390	C₂³	1	2	yes	—
556	#390	C₂³	1	2	yes	—
557	#390	C₂³	1	2	yes	—
558	#390	C₂³	1	2	yes	—
559	#390	C₂³	1	2	yes	—
560	#390	C₂³	1	2	yes	—
561	#390	C₂³	1	2	yes	—
562	#390	C₂³	1	2	yes	—
563	#390	C₂³	1	2	yes	—
564	#390	C₂³	1	2	yes	—
565	#390	C₂³	1	2	yes	—
566	#390	C₂³	1	2	yes	—
567	#390	C₂³	1	2	yes	—
568	#390	C₂³	1	2	yes	—
569	#390	C₂³	1	4	yes	—
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	4	yes	—
575	#390	C₂³	1	4	yes	—
576	#390	C₂³	1	4	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	1	yes	characteristic
587	#390	C₂³	1	1	yes	characteristic
588	#389	C₂³	1	1	yes	characteristic
589	#389	C₂³	1	1	yes	characteristic
590	#389	C₂³	1	1	yes	characteristic
591	#389	C₂³	1	1	yes	characteristic
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	2	yes	—
600	#389	C₂³	1	2	yes	—
601	#389	C₂³	1	2	yes	—
602	#389	C₂³	1	2	yes	—
603	#389	C₂³	1	2	yes	—
604	#389	C₂³	1	2	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	2	yes	—
615	#389	C₂³	1	2	yes	—
616	#389	C₂³	1	4	yes	—
617	#388	C₂³	1	1	yes	characteristic
618	#388	C₂³	1	1	yes	characteristic
619	#388	C₂³	1	1	yes	characteristic
620	#388	C₂³	1	1	yes	characteristic
621	#388	C₂³	1	1	yes	characteristic
622	#388	C₂³	1	1	yes	characteristic
623	#388	C₂³	1	1	yes	characteristic
624	#388	C₂³	1	1	yes	characteristic
625	#388	C₂³	1	1	yes	characteristic
626	#388	C₂³	1	1	yes	characteristic
627	#388	C₂³	1	1	yes	characteristic
628	#388	C₂³	1	1	yes	characteristic
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	4	yes	—
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	4	yes	—
649	#388	C₂³	1	4	yes	—
650	#388	C₂³	1	4	yes	—
651	#388	C₂³	1	4	yes	—
652	#388	C₂³	1	4	yes	—
653	#388	C₂³	1	4	yes	—
654	#388	C₂³	1	1	yes	characteristic
655	#388	C₂³	1	4	yes	—
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	1	yes	characteristic
668	#388	C₂³	1	4	yes	—
669	#388	C₂³	1	4	yes	—
670	#388	C₂³	1	4	yes	—
671	#388	C₂³	1	1	yes	characteristic
672	#387	C₂³	1	1	yes	characteristic
673	#387	C₂³	1	1	yes	characteristic
674	#387	C₂³	1	1	yes	characteristic
675	#387	C₂³	1	1	yes	characteristic
676	#387	C₂³	1	1	yes	characteristic
677	#387	C₂³	1	1	yes	characteristic
678	#387	C₂³	1	1	yes	characteristic
679	#387	C₂³	1	1	yes	characteristic
680	#387	C₂³	1	1	yes	characteristic
681	#387	C₂³	1	1	yes	characteristic
682	#387	C₂³	1	1	yes	characteristic
683	#387	C₂³	1	1	yes	characteristic
684	#387	C₂³	1	1	yes	characteristic
685	#387	C₂³	1	1	yes	characteristic
686	#387	C₂³	1	1	yes	characteristic
687	#387	C₂³	1	1	yes	characteristic
688	#387	C₂³	1	4	yes	—
689	#387	C₂³	1	4	yes	—
690	#387	C₂³	1	4	yes	—
691	#387	C₂³	1	4	yes	—
692	#387	C₂³	1	4	yes	—
693	#387	C₂³	1	4	yes	—
694	#387	C₂³	1	4	yes	—
695	#387	C₂³	1	4	yes	—
696	#387	C₂³	1	4	yes	—
697	#386	C₂³	1	4	yes	—
698	#386	C₂³	1	4	yes	—
699	#386	C₂³	1	4	yes	—
700	#386	C₂³	1	4	yes	—
701	#386	C₂³	1	4	yes	—
702	#386	C₂³	1	4	yes	—
703	#386	C₂³	1	4	yes	—
704	#386	C₂³	1	4	yes	—
705	#386	C₂³	1	4	yes	—
706	#386	C₂³	1	4	yes	—
707	#386	C₂³	1	4	yes	—
708	#386	C₂³	1	4	yes	—
709	#386	C₂³	1	4	yes	—
710	#386	C₂³	1	4	yes	—
711	#386	C₂³	1	4	yes	—
712	#386	C₂³	1	4	yes	—
713	#386	C₂³	1	4	yes	—
714	#386	C₂³	1	4	yes	—
715	#386	C₂³	1	4	yes	—
716	#386	C₂³	1	4	yes	—
717	#386	C₂³	1	4	yes	—
718	#386	C₂³	1	4	yes	—
719	#386	C₂³	1	4	yes	—
720	#386	C₂³	1	4	yes	—
721	#386	C₂³	1	4	yes	—
722	#386	C₂³	1	1	yes	characteristic
723	#386	C₂³	1	4	yes	—
724	#386	C₂³	1	1	yes	characteristic
725	#386	C₂³	1	4	yes	—
726	#386	C₂³	1	1	yes	characteristic
727	#386	C₂³	1	1	yes	characteristic
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	4	yes	—
735	#385	C₂³	1	4	yes	—
736	#385	C₂³	1	4	yes	—
737	#385	C₂³	1	4	yes	—
738	#385	C₂³	1	4	yes	—
739	#385	C₂³	1	1	yes	characteristic
740	#385	C₂³	1	1	yes	characteristic
741	#385	C₂³	1	1	yes	characteristic
742	#385	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	1	yes	characteristic
747	#384	C₂³	1	2	yes	—
748	#384	C₂³	1	2	yes	—
749	#384	C₂³	1	2	yes	—
750	#383	C₂³	1	1	yes	characteristic
751	#383	C₂³	1	1	yes	characteristic
752	#383	C₂³	1	4	yes	—
753	#383	C₂³	1	4	yes	—
754	#382	C₂³	1	1	yes	characteristic
755	#382	C₂³	1	1	yes	characteristic
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	2	yes	—
761	#382	C₂³	1	4	yes	—
762	#382	C₂³	1	4	yes	—
763	#382	C₂³	1	2	yes	—
764	#382	C₂³	1	2	yes	—
765	#381	C₂³	1	4	yes	—
766	#381	C₂³	1	4	yes	—
767	#381	C₂³	1	4	yes	—
768	#381	C₂³	1	4	yes	—
769	#381	C₂³	1	4	yes	—
770	#381	C₂³	1	1	yes	characteristic
771	#381	C₂³	1	1	yes	characteristic
772	#380	C₂³	1	2	yes	—
773	#380	C₂³	1	2	yes	—
774	#380	C₂³	1	2	yes	—
775	#380	C₂³	1	2	yes	—
776	#380	C₂³	1	4	yes	—
777	#380	C₂³	1	4	yes	—
778	#380	C₂³	1	4	yes	—
779	#380	C₂³	1	4	yes	—
780	#380	C₂³	1	4	yes	—
781	#380	C₂³	1	2	yes	—
782	#380	C₂³	1	2	yes	—
783	#380	C₂³	1	4	yes	—
784	#380	C₂³	1	4	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	1	yes	characteristic
792	#380	C₂³	1	1	yes	characteristic
793	#380	C₂³	1	2	yes	—
794	#380	C₂³	1	2	yes	—
795	#379	C₂³	1	4	yes	—
796	#379	C₂³	1	4	yes	—
797	#379	C₂³	1	4	yes	—
798	#379	C₂³	1	4	yes	—
799	#379	C₂³	1	4	yes	—
800	#379	C₂³	1	4	yes	—
801	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
802	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
803	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
804	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
805	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
806	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
807	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
808	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
809	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
810	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
811	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	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	2	yes	—
826	C₄×C₄⋊C₄	C₂³	1	2	yes	—
827	C₄×C₄⋊C₄	C₂³	1	2	yes	—
828	C₄×C₄⋊C₄	C₂³	1	2	yes	—
829	C₄×C₄⋊C₄	C₂³	1	2	yes	—
830	C₄×C₄⋊C₄	C₂³	1	4	yes	—
831	C₄×C₄⋊C₄	C₂³	1	2	yes	—
832	C₄×C₄⋊C₄	C₂³	1	2	yes	—
833	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
834	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
843	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
844	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
845	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
846	C₄×C₂²⋊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	4	yes	—
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	4	yes	—
862	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
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	4	yes	—
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	4	yes	—
879	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
880	#376	C₂³	1	1	yes	characteristic
881	#376	C₂³	1	1	yes	characteristic
882	#376	C₂³	1	1	yes	characteristic
883	#376	C₂³	1	1	yes	characteristic
884	#376	C₂³	1	4	yes	—
885	C₂×#95	C₂³	1	4	yes	—
886	C₂×#95	C₂³	1	4	yes	—
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	—	2	8	no	—
901	C₂×#41	—	4	4	no	—
902	C₂×#41	—	4	4	no	—
903	C₂×#41	—	4	4	no	—
904	C₂²×Q₈	C₂⁴	1	2	yes	—
905	C₂²×Q₈	C₂⁴	1	2	yes	—
906	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
907	C₂²×Q₈	C₂⁴	1	4	yes	—
908	C₂²×D₄	—	2	8	no	—
909	C₂²×D₄	—	2	8	no	—
910	C₂²×D₄	—	2	8	no	—
911	C₂²×D₄	—	2	8	no	—
912	C₂²×D₄	—	4	4	no	—
913	C₂²×D₄	—	4	4	no	—
914	C₂²×D₄	—	4	4	no	—
915	C₂²×D₄	—	4	4	no	—
916	C₂²×D₄	—	4	4	no	—
917	C₂²×D₄	C₂⁴	1	2	yes	—
918	C₂²×D₄	C₂⁴	1	2	yes	—
919	C₂²×D₄	C₂⁴	1	2	yes	—
920	C₂²×D₄	C₂⁴	1	1	yes	characteristic
921	C₂²×D₄	C₂⁴	1	1	yes	characteristic
922	C₂²×D₄	C₂⁴	1	1	yes	characteristic
923	C₂²×D₄	C₂⁴	1	4	yes	—
924	C₂²×D₄	C₂⁴	1	4	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	4	yes	—
929	C₂²×D₄	C₂⁴	1	4	yes	—
930	C₂²×D₄	C₂⁴	1	4	yes	—
931	C₂²×D₄	C₂⁴	1	4	yes	—
932	C₂²×D₄	C₂⁴	1	4	yes	—
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	4	yes	—
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	4	yes	—
947	C₂³×C₄	C₂⁴	1	4	yes	—
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	4	yes	—
952	C₂³×C₄	C₂⁴	1	4	yes	—
953	C₂³×C₄	C₂⁴	1	1	yes	characteristic
954	C₄⋊Q₈	—	2	4	no	—
955	C₄⋊Q₈	—	2	4	no	—
956	C₄⋊Q₈	—	4	4	no	—
957	C₄⋊Q₈	—	4	4	no	—
958	C₄⋊Q₈	—	4	4	no	—
959	#127	—	2	8	no	—
960	#127	—	2	8	no	—
961	#127	—	2	8	no	—
962	#127	—	2	4	no	—
963	#127	#41	1	8	yes	—
964	#126	—	2	4	no	—
965	#126	—	2	4	no	—
966	#126	—	4	8	no	—
967	#125	—	2	4	no	—
968	#125	—	2	8	no	—
969	#125	—	4	4	no	—
970	#124	—	2	8	no	—
971	#124	—	2	8	no	—
972	#124	—	2	4	no	—
973	#124	—	2	8	no	—
974	#124	—	4	8	no	—
975	#124	—	4	4	no	—
976	#124	—	4	4	no	—
977	#124	—	4	4	no	—
978	#124	—	4	8	no	—
979	#123	—	2	4	no	—
980	#123	—	2	4	no	—
981	#123	—	4	8	no	—
982	#123	—	4	8	no	—
983	#123	—	4	8	no	—
984	C₂²⋊Q₈	—	2	4	no	—
985	C₂²⋊Q₈	—	4	8	no	—
986	C₂²⋊Q₈	—	4	8	no	—
987	C₂²⋊Q₈	—	4	8	no	—
988	C₂²⋊Q₈	—	4	4	no	—
989	C₂²⋊Q₈	—	4	4	no	—
990	C₂²⋊Q₈	—	4	4	no	—
991	C₂²⋊Q₈	—	4	4	no	—
992	#121	—	2	8	no	—
993	#121	—	2	8	no	—
994	#121	—	2	8	no	—
995	#121	—	2	8	no	—
996	#121	—	2	8	no	—
997	#121	—	2	4	no	—
998	#121	—	4	8	no	—
999	#121	—	4	8	no	—
1000	#121	—	4	8	no	—
1001	#121	—	4	4	no	—
1002	#121	—	4	4	no	—
1003	#121	—	4	4	no	—
1004	#121	—	4	4	no	—
1005	#121	—	4	4	no	—
1006	#120	—	4	8	no	—
1007	#120	—	4	8	no	—
1008	C₄×Q₈	—	2	4	no	—
1009	C₄×Q₈	—	2	4	no	—
1010	C₄×Q₈	—	4	2	no	—
1011	C₄×Q₈	—	4	4	no	—
1012	C₄×Q₈	—	4	4	no	—
1013	C₄×Q₈	—	4	4	no	—
1014	C₄×Q₈	—	4	4	no	—
1015	C₄×D₄	—	2	8	no	—
1016	C₄×D₄	—	2	8	no	—
1017	C₄×D₄	—	2	8	no	—
1018	C₄×D₄	—	2	8	no	—
1019	C₄×D₄	—	2	4	no	—
1020	C₄×D₄	—	2	4	no	—
1021	C₄×D₄	—	2	4	no	—
1022	C₄×D₄	—	2	4	no	—
1023	C₄×D₄	—	2	16	no	—
1024	C₄×D₄	—	2	16	no	—
1025	C₄×D₄	—	2	8	no	—
1026	C₄×D₄	—	2	8	no	—
1027	C₄×D₄	—	2	8	no	—
1028	C₄×D₄	—	2	8	no	—
1029	C₄×D₄	—	2	4	no	—
1030	C₄×D₄	—	2	4	no	—
1031	C₄×D₄	—	2	8	no	—
1032	C₄×D₄	—	4	4	no	—
1033	C₄×D₄	—	4	4	no	—
1034	C₄×D₄	—	4	4	no	—
1035	C₄×D₄	—	4	4	no	—
1036	C₄×D₄	—	4	4	no	—
1037	C₄×D₄	—	4	4	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	2	no	—
1046	C₄×D₄	—	4	2	no	—
1047	C₄×D₄	—	4	2	no	—
1048	C₄×D₄	—	4	8	no	—
1049	C₄×D₄	—	4	8	no	—
1050	C₄×D₄	—	4	8	no	—
1051	#117	—	2	8	no	—
1052	#117	—	2	8	no	—
1053	#117	—	2	4	no	—
1054	#117	—	4	2	no	—
1055	#117	—	4	2	no	—
1056	#117	—	4	8	no	—
1057	#117	—	4	8	no	—
1058	#117	—	4	8	no	—
1059	#117	—	4	4	no	—
1060	#117	#41	1	8	yes	complemented
1061	C₂×C₄⋊C₄	—	4	8	no	—
1062	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1073	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1074	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1083	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
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	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1093	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1101	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1102	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1103	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1104	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1105	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1106	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1112	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1113	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
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	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	—	2	16	no	—
1120	C₂×C₂²⋊C₄	—	2	16	no	—
1121	C₂×C₂²⋊C₄	—	4	8	no	—
1122	C₂×C₂²⋊C₄	—	4	8	no	—
1123	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1124	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1129	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1130	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1131	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1132	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1133	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1136	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
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	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	4	yes	—
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	4	yes	—
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	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1192	C₂×C₄²	—	2	4	no	—
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	8	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	4	yes	—
1205	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1206	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1207	C₂×C₄²	C₂⁴	1	4	yes	—
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	1	yes	characteristic
1239	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	4	yes	—
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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1255	#95	C₂⁴	1	1	yes	characteristic
1256	#95	C₂⁴	1	1	yes	characteristic
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	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	1	yes	characteristic
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	4	yes	—
1280	#95	C₂⁴	1	4	yes	—
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	4	yes	—
1285	#95	C₂⁴	1	4	yes	—
1286	#95	C₂⁴	1	4	yes	—
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	4	yes	—
1291	#95	C₂⁴	1	1	yes	characteristic
1292	#95	C₂⁴	1	1	yes	characteristic
1293	#95	C₂⁴	1	1	yes	characteristic
1294	#95	C₂⁴	1	1	yes	characteristic
1295	#95	C₂⁴	1	1	yes	characteristic
1296	#95	C₂⁴	1	1	yes	characteristic
1297	#95	C₂⁴	1	1	yes	characteristic
1298	#95	C₂⁴	1	1	yes	characteristic
1299	#95	C₂⁴	1	4	yes	—
1300	#95	C₂⁴	1	1	yes	characteristic
1301	#95	C₂⁴	1	4	yes	—
1302	#95	C₂⁴	1	1	yes	characteristic
1303	#95	C₂⁴	1	1	yes	characteristic
1304	#95	C₂⁴	1	4	yes	—
1305	#95	C₂⁴	1	4	yes	—
1306	#95	C₂⁴	1	4	yes	—
1307	#95	C₂⁴	1	4	yes	—
1308	#95	C₂⁴	1	1	yes	characteristic
1309	#95	C₂⁴	1	1	yes	characteristic
1310	#95	C₂⁴	1	1	yes	characteristic
1311	#95	C₂⁴	1	1	yes	characteristic
1312	#95	C₂⁴	1	1	yes	characteristic
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	#95	C₂⁴	1	4	yes	—
1325	C₂⁴	—	2	8	no	—
1326	C₂⁴	—	2	8	no	—
1327	C₂⁴	—	4	4	no	—
1328	C₂⁴	—	4	4	no	—
1329	C₂⁴	—	4	4	no	—
1330	C₂⁴	—	4	4	no	—
1331	C₂⁴	—	4	4	no	—
1332	C₂⁴	C₂⁵	1	4	yes	—
1333	C₂⁴	C₂⁵	1	1	yes	characteristic
1334	C₂⁴	C₂⁵	1	1	yes	characteristic
1335	C₂⁴	C₂⁵	1	4	yes	—
1336	C₂⁴	C₂⁵	1	1	yes	characteristic
1337	#41	—	4	32	no	—
1338	#41	—	8	16	no	—
1339	C₂×Q₈	—	2	2	no	—
1340	C₂×Q₈	—	2	4	no	—
1341	C₂×Q₈	—	2	4	no	—
1342	C₂×Q₈	—	2	2	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	—	4	1	no	—
1348	C₂×Q₈	—	4	4	no	—
1349	C₂×Q₈	—	4	4	no	—
1350	C₂×Q₈	—	4	4	no	—
1351	C₂×D₄	—	2	2	no	—
1352	C₂×D₄	—	2	2	no	—
1353	C₂×D₄	—	2	8	no	—
1354	C₂×D₄	—	2	8	no	—
1355	C₂×D₄	—	2	2	no	—
1356	C₂×D₄	—	2	2	no	—
1357	C₂×D₄	—	2	8	no	—
1358	C₂×D₄	—	2	8	no	—
1359	C₂×D₄	—	2	8	no	—
1360	C₂×D₄	—	2	8	no	—
1361	C₂×D₄	—	2	8	no	—
1362	C₂×D₄	—	2	4	no	—
1363	C₂×D₄	—	2	8	no	—
1364	C₂×D₄	—	2	4	no	—
1365	C₂×D₄	—	2	2	no	—
1366	C₂×D₄	—	2	4	no	—
1367	C₂×D₄	—	2	4	no	—
1368	C₂×D₄	—	2	4	no	—
1369	C₂×D₄	—	2	4	no	—
1370	C₂×D₄	—	2	4	no	—
1371	C₂×D₄	—	2	2	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	—	4	32	no	—
1381	C₂×D₄	—	4	1	no	—
1382	C₂×D₄	—	4	1	no	—
1383	C₂×D₄	—	4	1	no	—
1384	C₂×D₄	—	4	4	no	—
1385	C₂×D₄	—	4	4	no	—
1386	C₂×D₄	—	4	4	no	—
1387	C₂×D₄	—	4	4	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	—	8	16	no	—
1398	C₂×D₄	—	8	16	no	—
1399	C₂×D₄	C₂×#41	1	8	yes	—
1400	C₂×D₄	C₂×#41	1	8	yes	—
1401	C₂×D₄	C₂×#41	1	8	yes	—
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	8	no	—
1407	C₂²×C₄	—	2	2	no	—
1408	C₂²×C₄	—	2	2	no	—
1409	C₂²×C₄	—	2	8	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	8	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	—	2	8	no	—
1440	C₂²×C₄	—	2	8	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	—	4	4	no	—
1460	C₂²×C₄	—	4	4	no	—
1461	C₂²×C₄	—	4	4	no	—
1462	C₂²×C₄	—	4	4	no	—
1463	C₂²×C₄	C₂×#41	1	4	yes	—
1464	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
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	1	yes	characteristic
1471	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1472	C₂²×C₄	C₂⁵	1	4	yes	—
1473	C₂²×C₄	C₂⁵	1	4	yes	—
1474	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1475	C₂²×C₄	C₂⁵	1	4	yes	—
1476	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1477	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1478	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1479	C₂²×C₄	C₂⁵	1	4	yes	—
1480	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1481	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1482	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1483	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1484	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1485	C₂²×C₄	C₂⁵	1	4	yes	—
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	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1497	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1498	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1499	C₄⋊C₄	—	2	4	no	—
1500	C₄⋊C₄	—	2	4	no	—
1501	C₄⋊C₄	—	2	2	no	—
1502	C₄⋊C₄	—	2	2	no	—
1503	C₄⋊C₄	—	2	4	no	—
1504	C₄⋊C₄	—	2	4	no	—
1505	C₄⋊C₄	—	2	4	no	—
1506	C₄⋊C₄	—	2	4	no	—
1507	C₄⋊C₄	—	2	2	no	—
1508	C₄⋊C₄	—	2	2	no	—
1509	C₄⋊C₄	—	2	2	no	—
1510	C₄⋊C₄	—	2	2	no	—
1511	C₄⋊C₄	—	2	2	no	—
1512	C₄⋊C₄	—	2	2	no	—
1513	C₄⋊C₄	—	2	2	no	—
1514	C₄⋊C₄	—	2	8	no	—
1515	C₄⋊C₄	—	2	4	no	—
1516	C₄⋊C₄	—	2	4	no	—
1517	C₄⋊C₄	—	2	2	no	—
1518	C₄⋊C₄	—	2	4	no	—
1519	C₄⋊C₄	—	2	4	no	—
1520	C₄⋊C₄	—	2	2	no	—
1521	C₄⋊C₄	—	2	2	no	—
1522	C₄⋊C₄	—	2	4	no	—
1523	C₄⋊C₄	—	2	4	no	—
1524	C₄⋊C₄	—	2	8	no	—
1525	C₄⋊C₄	—	2	2	no	—
1526	C₄⋊C₄	—	2	2	no	—
1527	C₄⋊C₄	—	2	4	no	—
1528	C₄⋊C₄	—	2	4	no	—
1529	C₄⋊C₄	—	2	4	no	—
1530	C₄⋊C₄	—	2	4	no	—
1531	C₄⋊C₄	—	4	4	no	—
1532	C₄⋊C₄	—	4	4	no	—
1533	C₄⋊C₄	—	4	1	no	—
1534	C₄⋊C₄	—	4	1	no	—
1535	C₄⋊C₄	—	4	1	no	—
1536	C₄⋊C₄	—	4	1	no	—
1537	C₄⋊C₄	—	4	4	no	—
1538	C₄⋊C₄	—	4	4	no	—
1539	C₄⋊C₄	—	4	4	no	—
1540	C₄⋊C₄	—	4	4	no	—
1541	C₄⋊C₄	—	4	1	no	—
1542	C₄⋊C₄	—	4	1	no	—
1543	C₄⋊C₄	—	4	1	no	—
1544	C₄⋊C₄	—	4	1	no	—
1545	C₄⋊C₄	—	4	1	no	—
1546	C₄⋊C₄	—	4	1	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	—	4	4	no	—
1552	C₄⋊C₄	—	4	4	no	—
1553	C₄⋊C₄	—	4	4	no	—
1554	C₄⋊C₄	C₂×#41	1	4	yes	—
1555	C₄⋊C₄	C₂×#41	1	4	yes	—
1556	C₂²⋊C₄	—	2	8	no	—
1557	C₂²⋊C₄	—	2	8	no	—
1558	C₂²⋊C₄	—	2	8	no	—
1559	C₂²⋊C₄	—	2	8	no	—
1560	C₂²⋊C₄	—	2	8	no	—
1561	C₂²⋊C₄	—	2	2	no	—
1562	C₂²⋊C₄	—	2	2	no	—
1563	C₂²⋊C₄	—	2	8	no	—
1564	C₂²⋊C₄	—	2	2	no	—
1565	C₂²⋊C₄	—	2	2	no	—
1566	C₂²⋊C₄	—	2	8	no	—
1567	C₂²⋊C₄	—	2	8	no	—
1568	C₂²⋊C₄	—	2	8	no	—
1569	C₂²⋊C₄	—	2	8	no	—
1570	C₂²⋊C₄	—	2	2	no	—
1571	C₂²⋊C₄	—	2	2	no	—
1572	C₂²⋊C₄	—	2	2	no	—
1573	C₂²⋊C₄	—	2	2	no	—
1574	C₂²⋊C₄	—	2	2	no	—
1575	C₂²⋊C₄	—	2	2	no	—
1576	C₂²⋊C₄	—	2	2	no	—
1577	C₂²⋊C₄	—	2	2	no	—
1578	C₂²⋊C₄	—	2	8	no	—
1579	C₂²⋊C₄	—	2	8	no	—
1580	C₂²⋊C₄	—	2	8	no	—
1581	C₂²⋊C₄	—	2	2	no	—
1582	C₂²⋊C₄	—	2	2	no	—
1583	C₂²⋊C₄	—	2	8	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	1	no	—
1589	C₂²⋊C₄	—	4	1	no	—
1590	C₂²⋊C₄	—	4	1	no	—
1591	C₂²⋊C₄	—	4	1	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	1	no	—
1598	C₂²⋊C₄	—	4	1	no	—
1599	C₂²⋊C₄	—	4	4	no	—
1600	C₂²⋊C₄	—	4	4	no	—
1601	C₂²⋊C₄	—	4	4	no	—
1602	C₂²⋊C₄	—	4	1	no	—
1603	C₂²⋊C₄	—	4	1	no	—
1604	C₂²⋊C₄	—	4	1	no	—
1605	C₂²⋊C₄	—	4	4	no	—
1606	C₂²⋊C₄	—	4	1	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	—	4	4	no	—
1623	C₂²⋊C₄	C₂×#41	1	4	yes	—
1624	C₂²⋊C₄	C₂×#41	1	4	yes	—
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	8	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	8	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	—	2	2	no	—
1661	C₄²	—	2	2	no	—
1662	C₄²	—	2	2	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	1	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	C₂×#41	1	4	yes	—
1676	C₄²	C₂×#41	1	4	yes	—
1677	C₄²	H(5,𝔽₂)	1	4	yes	—
1678	C₂³	—	2	1	no	—
1679	C₂³	—	2	4	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	4	no	—
1685	C₂³	—	2	1	no	—
1686	C₂³	—	2	4	no	—
1687	C₂³	—	2	1	no	—
1688	C₂³	—	2	1	no	—
1689	C₂³	—	2	4	no	—
1690	C₂³	—	2	1	no	—
1691	C₂³	—	2	1	no	—
1692	C₂³	—	2	4	no	—
1693	C₂³	—	2	4	no	—
1694	C₂³	—	2	1	no	—
1695	C₂³	—	2	1	no	—
1696	C₂³	—	2	1	no	—
1697	C₂³	—	2	4	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	2	4	no	—
1700	C₂³	—	2	4	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	2	4	no	—
1703	C₂³	—	2	1	no	—
1704	C₂³	—	2	1	no	—
1705	C₂³	—	2	4	no	—
1706	C₂³	—	2	4	no	—
1707	C₂³	—	2	1	no	—
1708	C₂³	—	2	4	no	—
1709	C₂³	—	2	1	no	—
1710	C₂³	—	4	16	no	—
1711	C₂³	—	8	8	no	—
1712	C₂³	—	8	8	no	—
1713	C₂³	—	8	8	no	—
1714	C₂³	—	8	8	no	—
1715	C₂³	—	16	4	no	—
1716	C₂³	—	16	4	no	—
1717	C₂³	C₂²×#41	1	2	yes	—
1718	C₂³	C₂²×#41	1	8	yes	—
1719	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1720	C₂³	C₂⁶	1	1	yes	characteristic
1721	Q₈	—	4	4	no	—
1722	Q₈	—	4	8	no	—
1723	Q₈	—	4	8	no	—
1724	Q₈	—	16	4	no	—
1725	D₄	—	2	16	no	—
1726	D₄	—	2	16	no	—
1727	D₄	—	2	16	no	—
1728	D₄	—	4	4	no	—
1729	D₄	—	4	4	no	—
1730	D₄	—	4	16	no	—
1731	D₄	—	4	4	no	—
1732	D₄	—	4	16	no	—
1733	D₄	—	4	8	no	—
1734	D₄	—	4	8	no	—
1735	D₄	—	4	8	no	—
1736	D₄	—	8	8	no	—
1737	D₄	—	8	8	no	—
1738	D₄	—	8	8	no	—
1739	D₄	—	8	8	no	—
1740	D₄	—	16	4	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	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	8	no	—
1758	C₂×C₄	—	2	8	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	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	4	no	—
1770	C₂×C₄	—	2	4	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	4	no	—
1774	C₂×C₄	—	2	4	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	4	no	—
1780	C₂×C₄	—	2	4	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	—	2	1	no	—
1788	C₂×C₄	—	2	4	no	—
1789	C₂×C₄	—	2	4	no	—
1790	C₂×C₄	—	2	4	no	—
1791	C₂×C₄	—	2	4	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	4	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	4	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	4	no	—
1818	C₂×C₄	—	2	4	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	4	no	—
1821	C₂×C₄	—	2	4	no	—
1822	C₂×C₄	—	2	4	no	—
1823	C₂×C₄	—	2	4	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	2	1	no	—
1826	C₂×C₄	—	2	1	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	4	4	no	—
1829	C₂×C₄	—	4	4	no	—
1830	C₂×C₄	—	4	4	no	—
1831	C₂×C₄	—	4	16	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	—	8	8	no	—
1841	C₂×C₄	—	8	8	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	C₂²×#41	1	2	yes	—
1853	C₂×C₄	C₂²×#41	1	2	yes	—
1854	C₂×C₄	C₂²×#41	1	2	yes	—
1855	C₂×C₄	C₂²×#41	1	2	yes	—
1856	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1857	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1858	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1859	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1860	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1861	C₂×C₄	#585	1	2	yes	—
1862	C₂×C₄	#585	1	2	yes	—
1863	C₂×C₄	#585	1	2	yes	—
1864	C₂²	—	2	2	no	—
1865	C₂²	—	2	8	no	—
1866	C₂²	—	2	8	no	—
1867	C₂²	—	2	2	no	—
1868	C₂²	—	2	2	no	—
1869	C₂²	—	2	2	no	—
1870	C₂²	—	2	2	no	—
1871	C₂²	—	2	2	no	—
1872	C₂²	—	2	8	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	4	no	—
1878	C₂²	—	4	4	no	—
1879	C₂²	—	4	4	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	4	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	4	1	no	—
1885	C₂²	—	4	1	no	—
1886	C₂²	—	4	4	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	4	no	—
1889	C₂²	—	4	4	no	—
1890	C₂²	—	4	4	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	4	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	4	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	4	no	—
1899	C₂²	—	16	16	no	—
1900	C₂²	C₂³×#41	1	1	yes	characteristic
1901	C₂²	C₂³×#41	1	1	yes	characteristic
1902	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1903	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1904	C₂²	C₂×#585	1	1	yes	characteristic
1905	C₂²	C₂×#585	1	1	yes	characteristic
1906	C₂²	C₂×#585	1	1	yes	characteristic
1907	C₄	—	2	2	no	—
1908	C₄	—	2	2	no	—
1909	C₄	—	2	2	no	—
1910	C₄	—	2	2	no	—
1911	C₄	—	2	2	no	—
1912	C₄	—	2	2	no	—
1913	C₄	—	2	2	no	—
1914	C₄	—	2	2	no	—
1915	C₄	—	4	1	no	—
1916	C₄	—	4	4	no	—
1917	C₄	—	4	1	no	—
1918	C₄	—	4	1	no	—
1919	C₄	—	4	1	no	—
1920	C₄	—	4	1	no	—
1921	C₄	—	4	4	no	—
1922	C₄	—	4	1	no	—
1923	C₄	—	4	4	no	—
1924	C₄	—	4	4	no	—
1925	C₄	—	4	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	4	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	—	4	1	no	—
1936	C₄	—	4	1	no	—
1937	C₄	—	4	1	no	—
1938	C₄	#3475	1	4	yes	—
1939	C₄	#3513	1	4	yes	—
1940	C₄	#3514	1	4	yes	—
1941	C₂	—	4	2	no	—
1942	C₂	—	4	8	no	—
1943	C₂	—	4	2	no	—
1944	C₂	—	8	1	no	—
1945	C₂	—	8	4	no	—
1946	C₂	C₂×#3475	1	1	yes	characteristic
1947	C₂	C₂×#3513	1	1	yes	characteristic
1948	C₂	C₂×#3514	1	1	yes	characteristic
1949	C₂	#62800	1	1	yes	characteristic
1950	C₂	#62800	1	1	yes	characteristic
1951	C₂	#62834	1	1	yes	characteristic
1952	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. #59581	C₂	semidirect
2. #59568	C₂	semidirect
3. #59549	C₂	semidirect
4. #59488	C₂	semidirect
5. #59487	C₂	semidirect
6. #59484	C₂	semidirect
7. #59086	C₂	semidirect
8. #59044	C₂	semidirect
9. #39256	C₂	semidirect
10. #39042	C₂	semidirect
11. #39024	C₂	semidirect
12. #39020	C₂	semidirect
13. #39001	C₂	semidirect
14. #38997	C₂	semidirect
15. #38228	C₂	semidirect
16. #38206	C₂	semidirect
17. #36631	C₂	semidirect
18. #36609	C₂	semidirect
19. #36559	C₂	semidirect
20. #36253	C₂	semidirect
21. #36238	C₂	semidirect
22. #36231	C₂	semidirect
23. #36216	C₂	semidirect
24. #36210	C₂	semidirect
25. #36209	C₂	semidirect
26. #36187	C₂	semidirect
27. #36149	C₂	semidirect
28. #36121	C₂	semidirect
29. #36121	C₂	semidirect
30. #35546	C₂	semidirect
31. #35522	C₂	semidirect
32. #35288	C₂	semidirect
33. #35283	C₂	semidirect
34. #35193	C₂	semidirect
35. #34261	C₂	semidirect
36. #34226	C₂	semidirect
37. #34210	C₂	semidirect
38. C₄×#532	C₂	semidirect
39. C₄×#529	C₂	semidirect
40. C₂×#555	C₂²	semidirect
41. C₂×#554	C₂²	semidirect
48. C₂×#529	C₂²	semidirect
50. C₂×C₄×#41	C₂²	semidirect
51. #2868	C₂²	semidirect
52. #2862	C₂²	semidirect
53. #2861	C₂²	semidirect
54. #2860	C₂²	semidirect
55. #2860	C₂²	semidirect
56. #2859	C₂²	semidirect
57. #2859	C₂²	semidirect
62. #2857	C₂²	semidirect
63. #2857	C₂²	semidirect
66. #2854	C₂²	semidirect
67. #2854	C₂²	semidirect
68. #2853	C₂²	semidirect
69. #2850	C₂²	semidirect
70. #2850	C₂²	semidirect
71. #2778	C₂²	semidirect
72. #2756	C₂²	semidirect
73. #2753	C₂²	semidirect
74. #2750	C₂²	semidirect
75. #2749	C₂²	semidirect
76. #2746	C₂²	semidirect
77. #2741	C₂²	semidirect
78. #2737	C₂²	semidirect
81. #2723	C₂²	semidirect
82. #2702	C₂²	semidirect
83. #2695	C₂²	semidirect
84. #2688	C₂²	semidirect
87. #2653	C₂²	semidirect
88. #2648	C₂²	semidirect
89. #2647	C₂²	semidirect
90. #2644	C₂²	semidirect
92. #2624	C₂²	semidirect
93. #2610	C₂²	semidirect
94. #2609	C₂²	semidirect
95. #2597	C₂²	semidirect
96. #2592	C₂²	semidirect
97. #2592	C₂²	semidirect
98. #2591	C₂²	semidirect
99. #2580	C₂²	semidirect
100. #2578	C₂²	semidirect
101. #2578	C₂²	semidirect
102. #2576	C₂²	semidirect
103. #2572	C₂²	semidirect
104. #2566	C₂²	semidirect
105. #2566	C₂²	semidirect
106. #2563	C₂²	semidirect
107. #2563	C₂²	semidirect
110. #2557	C₂²	semidirect
113. #2538	C₂²	semidirect
114. #2538	C₂²	semidirect
115. #2537	C₂²	semidirect
116. #2537	C₂²	semidirect
118. #2535	C₂²	semidirect
119. #2526	C₂²	semidirect
120. #2518	C₂²	semidirect
121. #2514	C₂²	semidirect
122. #2513	C₂²	semidirect
123. #2513	C₂²	semidirect
124. #2513	C₂²	semidirect
125. #2511	C₂²	semidirect
126. #2511	C₂²	semidirect
127. #2509	C₂²	semidirect
128. #2508	C₂²	semidirect
129. #2508	C₂²	semidirect
130. #2500	C₂²	semidirect
131. #2500	C₂²	semidirect
132. #2498	C₂²	semidirect
134. #2495	C₂²	semidirect
135. #2495	C₂²	semidirect
137. #2494	C₂²	semidirect
140. #2491	C₂²	semidirect
141. #2491	C₂²	semidirect
142. #2491	C₂²	semidirect
143. #2491	C₂²	semidirect
144. #2490	C₂²	semidirect
146. #2489	C₂²	semidirect
147. #2488	C₂²	semidirect
148. #2488	C₂²	semidirect
154. #2477	C₂²	semidirect
155. #2476	C₂²	semidirect
158. #2470	C₂²	semidirect
159. #2467	C₂²	semidirect
160. #2464	C₂²	semidirect
161. #2463	C₂²	semidirect
162. #2461	C₂²	semidirect
163. #2460	C₂²	semidirect
164. #2459	C₂²	semidirect
165. #2457	C₂²	semidirect
166. #2456	C₂²	semidirect
167. #2454	C₂²	semidirect
168. #2452	C₂²	semidirect
169. #2452	C₂²	semidirect
170. #2452	C₂²	semidirect
171. #2452	C₂²	semidirect
172. #2451	C₂²	semidirect
173. #2451	C₂²	semidirect
174. #2448	C₂²	semidirect
175. #2448	C₂²	semidirect
176. #2448	C₂²	semidirect
177. #2447	C₂²	semidirect
178. #2447	C₂²	semidirect
179. #2447	C₂²	semidirect
180. #2447	C₂²	semidirect
181. #2447	C₂²	semidirect
186. #2444	C₂²	semidirect
187. #2443	C₂²	semidirect
196. #2427	C₂²	semidirect
197. #2427	C₂²	semidirect
198. #2427	C₂²	semidirect
199. #2427	C₂²	semidirect
200. #2426	C₂²	semidirect
205. #2420	C₂²	semidirect
206. #2420	C₂²	semidirect
207. #2420	C₂²	semidirect
215. #2407	C₂²	semidirect
216. #2407	C₂²	semidirect
217. #2370	C₂²	semidirect
218. #2367	C₂²	semidirect
219. #2367	C₂²	semidirect
220. #2367	C₂²	semidirect
221. #2367	C₂²	semidirect
226. #2363	C₂²	semidirect
227. #2363	C₂²	semidirect
228. #2362	C₂²	semidirect
229. #2357	C₂²	semidirect
230. #2357	C₂²	semidirect
231. #2356	C₂²	semidirect
232. #2354	C₂²	semidirect
233. #2354	C₂²	semidirect
234. #2353	C₂²	semidirect
235. #2352	C₂²	semidirect
236. #2349	C₂²	semidirect
237. #2349	C₂²	semidirect
238. D₄×C₄⋊C₄	C₂²	semidirect
239. D₄×C₄⋊C₄	C₂²	semidirect
242. #2346	C₂²	semidirect
245. #2341	C₂²	semidirect
246. #2339	C₂²	semidirect
247. #2339	C₂²	semidirect
248. #2339	C₂²	semidirect
257. #2331	C₂²	semidirect
260. #2324	C₂²	semidirect
261. #2324	C₂²	semidirect
262. #2324	C₂²	semidirect
263. #2319	C₂²	semidirect
264. #2319	C₂²	semidirect
265. #2318	C₂²	semidirect
269. C₄×C₄⋊Q₈	C₂²	semidirect
270. C₄×C₄⋊Q₈	C₂²	semidirect
271. C₄×C₄⋊Q₈	C₂²	semidirect
272. C₄×C₄⋊Q₈	C₂²	semidirect
279. C₄×#125	C₂²	semidirect
280. C₄×#125	C₂²	semidirect
283. C₄×#126	C₂²	semidirect
284. C₄×#126	C₂²	semidirect
287. C₄×#124	C₂²	semidirect
288. C₄×#124	C₂²	semidirect
289. C₄×#124	C₂²	semidirect
290. C₄×C₂²⋊Q₈	C₂²	semidirect
291. C₄×C₂²⋊Q₈	C₂²	semidirect
294. C₄×#123	C₂²	semidirect
295. C₄×#123	C₂²	semidirect
298. C₄×#121	C₂²	semidirect
299. C₄×#121	C₂²	semidirect
300. C₄×#121	C₂²	semidirect
301. C₄×#121	C₂²	semidirect
302. C₄×#121	C₂²	semidirect
303. C₄×#121	C₂²	semidirect
305. #2298	C₂²	semidirect
306. #2297	C₂²	semidirect
307. #2295	C₂²	semidirect
309. #2293	C₂²	semidirect
310. #2293	C₂²	semidirect
311. #2293	C₂²	semidirect
312. #2293	C₂²	semidirect
314. #2290	C₂²	semidirect
315. #2290	C₂²	semidirect
318. #2285	C₂²	semidirect
319. #2285	C₂²	semidirect
320. #2283	C₂²	semidirect
321. #2275	C₂²	semidirect
322. C₄²×Q₈	C₂²	semidirect
325. C₄²×D₄	C₂²	semidirect
326. C₄²×D₄	C₂²	semidirect
327. C₄²×D₄	C₂²	semidirect
329. C₄×#117	C₂²	semidirect
330. C₂×C₄³	C₂²	semidirect
1060. #117	#41	semidirect

Maximal subgroups

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

subgroup	index
#59581	2
#59568	2
#59549	2
#59488	2
#59487	2
#59484	2
#59086	2
#59044	2
#39256	2
#39042	2
#39024	2
#39020	2
#39001	2
#38997	2
#38228	2
#38206	2
#36631	2
#36609	2
#36559	2
#36253	2
#36238	2
#36231	2
#36216	2
#36210	2
#36209	2
#36187	2
#36149	2
#36121	2
#35546	2
#35522	2
#35288	2
#35283	2
#35193	2
#34261	2
#34226	2
#34210	2
C₄×#532	2
C₄×#529	2