Subgroups — #7658275

Order 512.

5492 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#41606	C₂	1	4	yes	maximal, complemented
2	#41604	C₂	1	2	yes	maximal, complemented
3	#40929	C₂	1	2	yes	maximal, complemented
4	#40928	C₂	1	4	yes	maximal, complemented
5	#40917	C₂	1	4	yes	maximal, complemented
6	#40916	C₂	1	4	yes	maximal, complemented
7	#40913	C₂	1	4	yes	maximal, complemented
8	#40663	C₂	1	2	yes	maximal, complemented
9	#40662	C₂	1	2	yes	maximal, complemented
10	#40661	C₂	1	4	yes	maximal, complemented
11	#40659	C₂	1	4	yes	maximal, complemented
12	#37527	C₂	1	4	yes	maximal, complemented
13	#37527	C₂	1	2	yes	maximal, complemented
14	#37436	C₂	1	1	yes	maximal, characteristic, complemented
15	#37436	C₂	1	2	yes	maximal, complemented
16	#36676	C₂	1	2	yes	maximal, complemented
17	C₂×#2842	C₂	1	1	yes	maximal, characteristic, complemented
18	#35840	C₂	1	2	yes	maximal, complemented
19	#35837	C₂	1	2	yes	maximal, complemented
20	#35780	C₂	1	4	yes	maximal, complemented
21	#35777	C₂	1	4	yes	maximal, complemented
22	#34198	C₂	1	2	yes	maximal, complemented
23	#34198	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553	C₂²	1	2	yes	complemented
25	C₂²×#120	C₂²	1	2	yes	—
26	C₂²×#120	C₂²	1	1	yes	characteristic
27	C₂×#518	C₂²	1	1	yes	characteristic, complemented
28	C₂×#518	C₂²	1	2	yes	complemented
29	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	#2842	C₂²	1	1	yes	characteristic, complemented
31	#2842	C₂²	1	2	yes	complemented
32	#2842	C₂²	1	4	yes	complemented
33	#2842	C₂²	1	2	yes	complemented
34	#2842	C₂²	1	1	yes	characteristic, complemented
35	#2842	C₂²	1	4	yes	complemented
36	#2842	C₂²	1	2	yes	complemented
37	#2834	C₂²	1	2	yes	complemented
38	#2827	C₂²	1	4	yes	complemented
39	#2827	C₂²	1	4	yes	complemented
40	#2827	C₂²	1	4	yes	complemented
41	#2826	C₂²	1	4	yes	complemented
42	#2826	C₂²	1	2	yes	complemented
43	#2825	C₂²	1	4	yes	complemented
44	#2812	C₂²	1	2	yes	complemented
45	#2812	C₂²	1	4	yes	complemented
46	#2812	C₂²	1	4	yes	complemented
47	#2812	C₂²	1	2	yes	complemented
48	#2771	C₂²	1	2	yes	complemented
49	#2765	C₂²	1	4	yes	complemented
50	#2761	C₂²	1	4	yes	complemented
51	#2752	C₂²	1	2	yes	complemented
52	#2750	C₂²	1	4	yes	complemented
53	#2749	C₂²	1	4	yes	complemented
54	#2746	C₂²	1	4	yes	complemented
55	#2744	C₂²	1	4	yes	complemented
56	#2743	C₂²	1	4	yes	complemented
57	#2743	C₂²	1	4	yes	complemented
58	#2740	C₂²	1	4	yes	complemented
59	#2739	C₂²	1	4	yes	complemented
60	#2738	C₂²	1	4	yes	complemented
61	#2735	C₂²	1	4	yes	complemented
62	#2735	C₂²	1	2	yes	complemented
63	#2707	C₂²	1	4	yes	complemented
64	#2706	C₂²	1	4	yes	complemented
65	#2705	C₂²	1	4	yes	complemented
66	#2697	C₂²	1	4	yes	complemented
67	#2695	C₂²	1	4	yes	complemented
68	#2694	C₂²	1	4	yes	complemented
69	#2693	C₂²	1	4	yes	complemented
70	#2685	C₂²	1	4	yes	complemented
71	#2685	C₂²	1	4	yes	complemented
72	#2678	C₂²	1	4	yes	complemented
73	#2668	C₂²	1	2	yes	complemented
74	#2652	C₂²	1	4	yes	complemented
75	#2652	C₂²	1	4	yes	complemented
76	#2652	C₂²	1	4	yes	complemented
77	#2649	C₂²	1	4	yes	complemented
78	#2649	C₂²	1	4	yes	complemented
79	#2649	C₂²	1	4	yes	complemented
80	#2648	C₂²	1	4	yes	complemented
81	#2648	C₂²	1	4	yes	complemented
82	#2648	C₂²	1	4	yes	complemented
83	#2636	C₂²	1	4	yes	complemented
84	#2636	C₂²	1	4	yes	complemented
85	#2636	C₂²	1	4	yes	complemented
86	#2635	C₂²	1	2	yes	complemented
87	#2635	C₂²	1	4	yes	complemented
88	#2633	C₂²	1	2	yes	complemented
89	#2633	C₂²	1	4	yes	complemented
90	#2630	C₂²	1	4	yes	complemented
91	#2630	C₂²	1	4	yes	complemented
92	#2630	C₂²	1	4	yes	complemented
93	#2622	C₂²	1	4	yes	—
94	#2622	C₂²	1	4	yes	—
95	#2622	C₂²	1	4	yes	—
96	#2617	C₂²	1	2	yes	—
97	#2617	C₂²	1	4	yes	—
98	#2617	C₂²	1	4	yes	—
99	#2617	C₂²	1	2	yes	—
100	#2613	C₂²	1	4	yes	—
101	#2613	C₂²	1	4	yes	—
102	#2613	C₂²	1	4	yes	—
103	#2611	C₂²	1	2	yes	complemented
104	#2609	C₂²	1	4	yes	complemented
105	#2601	C₂²	1	4	yes	complemented
106	#2598	C₂²	1	2	yes	complemented
107	#2591	C₂²	1	4	yes	complemented
108	#2579	C₂²	1	4	yes	complemented
109	#2576	C₂²	1	4	yes	complemented
110	#2575	C₂²	1	4	yes	complemented
111	#2573	C₂²	1	4	yes	complemented
112	#2569	C₂²	1	2	yes	complemented
113	#2558	C₂²	1	4	yes	complemented
114	#2554	C₂²	1	4	yes	complemented
115	#2553	C₂²	1	4	yes	complemented
116	#2543	C₂²	1	2	yes	complemented
117	#2539	C₂²	1	2	yes	complemented
118	#2534	C₂²	1	4	yes	complemented
119	#2526	C₂²	1	4	yes	complemented
120	#2518	C₂²	1	4	yes	complemented
121	#2518	C₂²	1	4	yes	complemented
122	#2518	C₂²	1	4	yes	complemented
123	#2517	C₂²	1	2	yes	complemented
124	#2517	C₂²	1	4	yes	complemented
125	#2516	C₂²	1	4	yes	complemented
126	#2515	C₂²	1	4	yes	complemented
127	#2510	C₂²	1	4	yes	complemented
128	#2504	C₂²	1	2	yes	complemented
129	#2487	C₂²	1	2	yes	complemented
130	#2483	C₂²	1	1	yes	characteristic, complemented
131	#2483	C₂²	1	2	yes	complemented
132	#2482	C₂²	1	2	yes	complemented
133	#2481	C₂²	1	4	yes	complemented
134	#2481	C₂²	1	4	yes	complemented
135	#2480	C₂²	1	4	yes	complemented
136	#2479	C₂²	1	4	yes	complemented
137	#2475	C₂²	1	4	yes	complemented
138	#2471	C₂²	1	4	yes	complemented
139	#2471	C₂²	1	4	yes	complemented
140	#2470	C₂²	1	4	yes	complemented
141	#2467	C₂²	1	4	yes	complemented
142	#2467	C₂²	1	4	yes	complemented
143	#2467	C₂²	1	4	yes	complemented
144	#2466	C₂²	1	4	yes	complemented
145	#2466	C₂²	1	4	yes	complemented
146	#2466	C₂²	1	4	yes	complemented
147	#2460	C₂²	1	4	yes	complemented
148	#2460	C₂²	1	4	yes	complemented
149	#2460	C₂²	1	4	yes	complemented
150	#2457	C₂²	1	4	yes	complemented
151	#2456	C₂²	1	4	yes	complemented
152	#2456	C₂²	1	4	yes	complemented
153	#2456	C₂²	1	4	yes	complemented
154	#2455	C₂²	1	4	yes	complemented
155	#2455	C₂²	1	2	yes	complemented
156	#2444	C₂²	1	4	yes	complemented
157	#2443	C₂²	1	4	yes	complemented
158	#2443	C₂²	1	4	yes	complemented
159	#2442	C₂²	1	4	yes	complemented
160	#2424	C₂²	1	4	yes	complemented
161	#2418	C₂²	1	4	yes	complemented
162	#2416	C₂²	1	4	yes	complemented
163	#2412	C₂²	1	4	yes	complemented
164	#2412	C₂²	1	4	yes	complemented
165	#2412	C₂²	1	4	yes	complemented
166	#2411	C₂²	1	4	yes	complemented
167	#2410	C₂²	1	4	yes	complemented
168	#2410	C₂²	1	4	yes	complemented
169	#2410	C₂²	1	4	yes	complemented
170	#2405	C₂²	1	2	yes	complemented
171	#2405	C₂²	1	2	yes	complemented
172	#2405	C₂²	1	2	yes	complemented
173	#2403	C₂²	1	2	yes	complemented
174	#2403	C₂²	1	1	yes	characteristic, complemented
175	#2401	C₂²	1	4	yes	complemented
176	#2397	C₂²	1	2	yes	complemented
177	#2395	C₂²	1	2	yes	complemented
178	#2395	C₂²	1	4	yes	complemented
179	C₂×#399	C₂²	1	2	yes	complemented
180	C₂×#399	C₂²	1	2	yes	complemented
181	#2392	C₂²	1	4	yes	complemented
182	#2392	C₂²	1	4	yes	complemented
183	#2392	C₂²	1	4	yes	complemented
184	C₂×#396	C₂²	1	4	yes	complemented
185	C₂×#396	C₂²	1	4	yes	complemented
186	#2364	C₂²	1	2	yes	complemented
187	#2361	C₂²	1	4	yes	complemented
188	#2358	C₂²	1	4	yes	complemented
189	#2358	C₂²	1	4	yes	complemented
190	#2358	C₂²	1	4	yes	complemented
191	#2358	C₂²	1	4	yes	complemented
192	#2358	C₂²	1	4	yes	complemented
193	#2358	C₂²	1	4	yes	complemented
194	#2353	C₂²	1	2	yes	complemented
195	#2352	C₂²	1	4	yes	complemented
196	#2345	C₂²	1	2	yes	complemented
197	#2342	C₂²	1	4	yes	complemented
198	#2342	C₂²	1	4	yes	complemented
199	#2342	C₂²	1	4	yes	complemented
200	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
201	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
202	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
203	#2321	C₂²	1	2	yes	—
204	#2321	C₂²	1	4	yes	—
205	#2321	C₂²	1	4	yes	—
206	#2321	C₂²	1	2	yes	—
207	#2315	C₂²	1	2	yes	complemented
208	#2315	C₂²	1	1	yes	characteristic, complemented
209	#2308	C₂²	1	2	yes	complemented
210	#2308	C₂²	1	1	yes	characteristic, complemented
211	C₄×#120	C₂²	1	4	yes	complemented
212	C₄×#120	C₂²	1	2	yes	complemented
213	C₄×#120	C₂²	1	2	yes	complemented
214	C₄×#120	C₂²	1	4	yes	complemented
215	C₂×#379	C₂²	1	2	yes	—
216	C₂×#379	C₂²	1	1	yes	characteristic
217	#2273	C₂²	1	2	yes	complemented
218	#2273	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×D₄	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	2	yes	—
223	C₂³×D₄	C₂³	1	2	yes	—
224	C₂³×D₄	C₂³	1	2	yes	—
225	C₂⁴×C₄	C₂³	1	2	yes	—
226	#553	—	4	8	no	—
227	C₂×#126	C₂³	1	4	yes	complemented
228	C₂×#126	C₂³	1	4	yes	complemented
229	C₂×#126	C₂³	1	4	yes	complemented
230	C₂×#125	C₂³	1	2	yes	complemented
231	C₂×#125	C₂³	1	4	yes	complemented
232	C₂×#123	C₂³	1	4	yes	—
233	C₂×#123	C₂³	1	4	yes	—
234	C₂×#123	C₂³	1	4	yes	—
235	C₂×#123	C₂³	1	4	yes	complemented
236	C₂×#123	C₂³	1	4	yes	complemented
237	C₂×#123	C₂³	1	4	yes	complemented
238	C₂×#121	C₂³	1	4	yes	—
239	C₂×#121	C₂³	1	2	yes	—
240	C₂×#121	C₂³	1	4	yes	—
241	C₂×#121	C₂³	1	2	yes	—
242	C₂×#121	C₂³	1	2	yes	complemented
243	C₂×#121	C₂³	1	4	yes	complemented
244	C₂×#120	—	2	16	no	—
245	C₂×#120	—	2	8	no	—
246	C₂×#120	C₂³	1	2	yes	—
247	C₂×#120	C₂³	1	4	yes	—
248	C₂×#120	C₂³	1	4	yes	—
249	C₂×#120	C₂³	1	4	yes	—
250	C₂×#120	C₂³	1	4	yes	—
251	C₂×#120	C₂³	1	4	yes	—
252	C₂×#120	C₂³	1	2	yes	—
253	C₂×#120	C₂³	1	4	yes	—
254	C₂×#120	C₂³	1	4	yes	—
255	C₂×#120	C₂³	1	4	yes	—
256	#518	—	4	4	no	—
257	#518	—	4	8	no	—
258	C₂×C₄×D₄	C₂³	1	4	yes	—
259	C₂×C₄×D₄	C₂³	1	2	yes	—
260	C₂×C₄×D₄	C₂³	1	4	yes	—
261	C₂×C₄×D₄	C₂³	1	2	yes	—
262	C₂×C₄×D₄	C₂³	1	2	yes	—
263	C₂×C₄×D₄	C₂³	1	4	yes	—
264	C₂×C₄×D₄	C₂³	1	4	yes	—
265	C₂×C₄×D₄	C₂³	1	2	yes	—
266	C₂×C₄×D₄	C₂³	1	4	yes	—
267	C₂×C₄×D₄	C₂³	1	4	yes	—
268	C₂×C₄×D₄	C₂³	1	4	yes	—
269	C₂×C₄×D₄	C₂³	1	4	yes	—
270	C₂×C₄×D₄	C₂³	1	4	yes	—
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×C₄×D₄	C₂³	1	2	yes	complemented
273	C₂×C₄×D₄	C₂³	1	4	yes	complemented
274	C₂×#117	C₂³	1	2	yes	—
275	C₂×#117	C₂³	1	4	yes	—
276	C₂×#117	C₂³	1	2	yes	complemented
277	C₂×#117	C₂³	1	4	yes	complemented
278	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
280	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
281	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
282	C₂²×C₂²⋊C₄	—	4	4	no	—
283	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
302	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
303	#401	C₂³	1	4	yes	complemented
304	#400	C₂³	1	4	yes	complemented
305	#400	C₂³	1	4	yes	complemented
306	#400	C₂³	1	4	yes	complemented
307	#400	C₂³	1	4	yes	complemented
308	#400	C₂³	1	4	yes	complemented
309	#400	C₂³	1	2	yes	complemented
310	#400	C₂³	1	4	yes	complemented
311	#400	C₂³	1	4	yes	complemented
312	#400	C₂³	1	4	yes	complemented
313	#400	C₂³	1	2	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#399	C₂³	1	2	yes	—
318	#399	C₂³	1	2	yes	—
319	#399	C₂³	1	4	yes	—
320	#399	C₂³	1	2	yes	—
321	#399	C₂³	1	2	yes	—
322	#399	C₂³	1	2	yes	—
323	#399	C₂³	1	4	yes	—
324	#399	C₂³	1	4	yes	—
325	#399	C₂³	1	2	yes	—
326	#399	C₂³	1	2	yes	—
327	#399	C₂³	1	4	yes	—
328	#399	C₂³	1	2	yes	—
329	#399	C₂³	1	4	yes	complemented
330	#399	C₂³	1	2	yes	complemented
331	#399	C₂³	1	4	yes	complemented
332	#399	C₂³	1	2	yes	complemented
333	#398	C₂³	1	4	yes	complemented
334	#398	C₂³	1	2	yes	complemented
335	#398	C₂³	1	4	yes	complemented
336	#398	C₂³	1	4	yes	complemented
337	#398	C₂³	1	4	yes	complemented
338	#398	C₂³	1	4	yes	complemented
339	#398	C₂³	1	4	yes	complemented
340	#398	C₂³	1	4	yes	complemented
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	4	yes	—
345	#397	C₂³	1	2	yes	—
346	#397	C₂³	1	2	yes	—
347	#397	C₂³	1	4	yes	—
348	#397	C₂³	1	2	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	2	yes	—
351	#397	C₂³	1	4	yes	—
352	#397	C₂³	1	4	yes	—
353	#397	C₂³	1	4	yes	—
354	#397	C₂³	1	4	yes	—
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#397	C₂³	1	4	yes	complemented
358	#397	C₂³	1	4	yes	complemented
359	#397	C₂³	1	4	yes	complemented
360	#397	C₂³	1	4	yes	complemented
361	#397	C₂³	1	4	yes	complemented
362	#397	C₂³	1	4	yes	complemented
363	#397	C₂³	1	4	yes	complemented
364	#397	C₂³	1	4	yes	complemented
365	#397	C₂³	1	2	yes	complemented
366	#396	C₂³	1	4	yes	—
367	#396	C₂³	1	4	yes	—
368	#396	C₂³	1	4	yes	—
369	#396	C₂³	1	4	yes	—
370	#396	C₂³	1	4	yes	—
371	#396	C₂³	1	4	yes	—
372	#396	C₂³	1	4	yes	—
373	#396	C₂³	1	4	yes	—
374	#396	C₂³	1	4	yes	—
375	#396	C₂³	1	4	yes	—
376	#396	C₂³	1	4	yes	—
377	#396	C₂³	1	4	yes	—
378	#396	C₂³	1	4	yes	—
379	#396	C₂³	1	4	yes	—
380	#396	C₂³	1	4	yes	—
381	#396	C₂³	1	4	yes	—
382	#396	C₂³	1	4	yes	complemented
383	#396	C₂³	1	4	yes	complemented
384	#396	C₂³	1	4	yes	complemented
385	#396	C₂³	1	4	yes	complemented
386	#396	C₂³	1	4	yes	complemented
387	#396	C₂³	1	4	yes	complemented
388	#394	C₂³	1	4	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	4	yes	—
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	4	yes	—
404	#394	C₂³	1	4	yes	—
405	#394	C₂³	1	4	yes	—
406	#394	C₂³	1	4	yes	—
407	#394	C₂³	1	4	yes	—
408	#394	C₂³	1	4	yes	—
409	#394	C₂³	1	4	yes	—
410	#394	C₂³	1	4	yes	—
411	#394	C₂³	1	4	yes	—
412	#394	C₂³	1	4	yes	complemented
413	#394	C₂³	1	4	yes	complemented
414	#394	C₂³	1	4	yes	complemented
415	#394	C₂³	1	4	yes	complemented
416	#394	C₂³	1	2	yes	complemented
417	#394	C₂³	1	4	yes	complemented
418	#394	C₂³	1	4	yes	complemented
419	#394	C₂³	1	4	yes	complemented
420	#392	C₂³	1	4	yes	—
421	#392	C₂³	1	4	yes	—
422	#392	C₂³	1	4	yes	—
423	#392	C₂³	1	4	yes	—
424	#392	C₂³	1	2	yes	—
425	#392	C₂³	1	2	yes	—
426	#392	C₂³	1	2	yes	—
427	#392	C₂³	1	4	yes	—
428	#392	C₂³	1	4	yes	—
429	#392	C₂³	1	4	yes	—
430	#392	C₂³	1	4	yes	—
431	#392	C₂³	1	4	yes	—
432	#392	C₂³	1	4	yes	—
433	#392	C₂³	1	2	yes	—
434	#392	C₂³	1	2	yes	complemented
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	4	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	4	yes	complemented
442	#390	C₂³	1	4	yes	complemented
443	#390	C₂³	1	4	yes	complemented
444	#389	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#389	C₂³	1	4	yes	complemented
450	#388	C₂³	1	4	yes	—
451	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	complemented
463	#388	C₂³	1	4	yes	complemented
464	#388	C₂³	1	4	yes	complemented
465	#388	C₂³	1	4	yes	complemented
466	#388	C₂³	1	4	yes	complemented
467	#388	C₂³	1	4	yes	complemented
468	#388	C₂³	1	4	yes	complemented
469	#388	C₂³	1	4	yes	complemented
470	#388	C₂³	1	4	yes	complemented
471	#388	C₂³	1	4	yes	complemented
472	#388	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	complemented
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#387	C₂³	1	4	yes	complemented
481	#387	C₂³	1	4	yes	complemented
482	#387	C₂³	1	4	yes	complemented
483	#387	C₂³	1	4	yes	complemented
484	#387	C₂³	1	4	yes	complemented
485	#387	C₂³	1	4	yes	complemented
486	#387	C₂³	1	4	yes	complemented
487	#387	C₂³	1	4	yes	complemented
488	#387	C₂³	1	4	yes	complemented
489	#387	C₂³	1	4	yes	complemented
490	#387	C₂³	1	4	yes	complemented
491	#387	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#387	C₂³	1	4	yes	complemented
496	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#386	C₂³	1	4	yes	—
499	#386	C₂³	1	2	yes	—
500	#386	C₂³	1	4	yes	—
501	#386	C₂³	1	2	yes	—
502	#386	C₂³	1	4	yes	—
503	#386	C₂³	1	4	yes	—
504	#386	C₂³	1	4	yes	—
505	#386	C₂³	1	4	yes	—
506	#386	C₂³	1	4	yes	—
507	#386	C₂³	1	4	yes	—
508	#386	C₂³	1	4	yes	—
509	#386	C₂³	1	4	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	4	yes	complemented
530	#386	C₂³	1	4	yes	complemented
531	#386	C₂³	1	4	yes	complemented
532	#385	C₂³	1	4	yes	—
533	#385	C₂³	1	2	yes	—
534	#385	C₂³	1	4	yes	—
535	#385	C₂³	1	4	yes	—
536	#385	C₂³	1	4	yes	—
537	#385	C₂³	1	2	yes	—
538	#385	C₂³	1	4	yes	—
539	#385	C₂³	1	4	yes	—
540	#385	C₂³	1	4	yes	—
541	#385	C₂³	1	4	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	—
544	#385	C₂³	1	4	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	complemented
552	#385	C₂³	1	4	yes	complemented
553	#385	C₂³	1	4	yes	complemented
554	#385	C₂³	1	4	yes	complemented
555	#385	C₂³	1	4	yes	complemented
556	#385	C₂³	1	4	yes	complemented
557	#383	C₂³	1	4	yes	complemented
558	#383	C₂³	1	2	yes	complemented
559	#382	C₂³	1	4	yes	complemented
560	#382	C₂³	1	4	yes	complemented
561	#382	C₂³	1	4	yes	complemented
562	#381	C₂³	1	2	yes	—
563	#381	C₂³	1	4	yes	—
564	#381	C₂³	1	4	yes	—
565	#381	C₂³	1	4	yes	—
566	#381	C₂³	1	4	yes	—
567	#381	C₂³	1	2	yes	complemented
568	#381	C₂³	1	4	yes	complemented
569	#380	C₂³	1	4	yes	—
570	#380	C₂³	1	2	yes	—
571	#380	C₂³	1	4	yes	—
572	#380	C₂³	1	4	yes	—
573	#380	C₂³	1	4	yes	—
574	#380	C₂³	1	4	yes	—
575	#380	C₂³	1	2	yes	—
576	#380	C₂³	1	4	yes	complemented
577	#380	C₂³	1	4	yes	complemented
578	#380	C₂³	1	4	yes	complemented
579	#379	C₂³	1	2	yes	—
580	#379	C₂³	1	4	yes	—
581	#379	C₂³	1	2	yes	—
582	#379	C₂³	1	1	yes	characteristic
583	#379	C₂³	1	2	yes	—
584	#379	C₂³	1	1	yes	characteristic
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	4	yes	—
587	#379	C₂³	1	4	yes	—
588	#379	C₂³	1	2	yes	—
589	#379	C₂³	1	1	yes	characteristic
590	#379	C₂³	1	2	yes	—
591	#379	C₂³	1	1	yes	characteristic
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
596	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
597	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
599	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
600	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
601	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
602	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
603	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
604	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
615	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	#376	C₂³	1	2	yes	complemented
618	C₂×#95	C₂³	1	2	yes	—
619	C₂×#95	C₂³	1	2	yes	—
620	C₂⁵	—	4	2	no	—
621	C₂⁵	—	4	2	no	—
622	C₂⁵	—	8	4	no	—
623	C₂⁵	#41	1	8	yes	—
624	C₂⁵	C₂⁴	1	2	yes	—
625	C₂⁵	C₂⁴	1	1	yes	characteristic
626	C₂⁵	C₂⁴	1	2	yes	—
627	C₂⁵	C₂⁴	1	1	yes	characteristic
628	C₂⁵	C₂⁴	1	1	yes	characteristic
629	C₂⁵	C₂⁴	1	2	yes	—
630	C₂⁵	C₂⁴	1	1	yes	characteristic
631	C₂²×D₄	—	2	8	no	—
632	C₂²×D₄	—	2	4	no	—
633	C₂²×D₄	—	2	8	no	—
634	C₂²×D₄	—	2	8	no	—
635	C₂²×D₄	—	2	8	no	—
636	C₂²×D₄	—	4	2	no	—
637	C₂²×D₄	—	4	4	no	—
638	C₂²×D₄	—	4	4	no	—
639	C₂²×D₄	—	4	2	no	—
640	C₂²×D₄	—	8	4	no	—
641	C₂²×D₄	—	8	4	no	—
642	C₂²×D₄	—	8	4	no	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂²×D₄	C₂⁴	1	2	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	2	yes	—
647	C₂²×D₄	C₂⁴	1	4	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	4	yes	—
653	C₂²×D₄	C₂⁴	1	2	yes	—
654	C₂²×D₄	C₂⁴	1	4	yes	—
655	C₂²×D₄	C₂⁴	1	4	yes	—
656	C₂²×D₄	C₂⁴	1	2	yes	—
657	C₂³×C₄	—	4	4	no	—
658	C₂³×C₄	—	8	4	no	—
659	C₂³×C₄	C₂⁴	1	4	yes	—
660	C₂³×C₄	C₂⁴	1	2	yes	—
661	C₂³×C₄	C₂⁴	1	4	yes	—
662	C₂³×C₄	C₂⁴	1	2	yes	—
663	C₂³×C₄	C₂⁴	1	1	yes	characteristic
664	C₂³×C₄	C₂⁴	1	2	yes	—
665	C₂³×C₄	C₂⁴	1	4	yes	—
666	C₂³×C₄	C₂⁴	1	2	yes	—
667	C₂³×C₄	C₂⁴	1	2	yes	—
668	C₂³×C₄	C₂⁴	1	2	yes	—
669	C₂³×C₄	C₂⁴	1	2	yes	—
670	C₂³×C₄	C₂⁴	1	2	yes	—
671	C₂³×C₄	C₂⁴	1	4	yes	—
672	C₂³×C₄	C₂⁴	1	4	yes	—
673	C₂³×C₄	C₂⁴	1	2	yes	—
674	C₂³×C₄	C₂⁴	1	4	yes	—
675	C₂³×C₄	C₂⁴	1	2	yes	—
676	#126	—	4	8	no	—
677	#126	—	8	4	no	—
678	#126	—	8	4	no	—
679	#125	—	4	4	no	—
680	#125	—	8	4	no	—
681	#123	—	4	8	no	—
682	#123	—	8	4	no	—
683	#123	—	8	4	no	—
684	#123	—	8	4	no	—
685	#123	—	8	4	no	—
686	#123	—	8	4	no	—
687	#121	—	4	4	no	—
688	#121	—	4	8	no	—
689	#121	—	4	4	no	—
690	#121	—	4	8	no	—
691	#121	—	4	4	no	—
692	#121	—	8	4	no	—
693	#120	—	2	16	no	—
694	#120	—	2	8	no	—
695	#120	—	2	16	no	—
696	#120	—	2	16	no	—
697	#120	—	2	16	no	—
698	#120	—	2	8	no	—
699	#120	—	2	16	no	—
700	#120	—	8	4	no	—
701	#120	—	8	4	no	—
702	#120	—	8	4	no	—
703	C₄×D₄	—	2	16	no	—
704	C₄×D₄	—	2	8	no	—
705	C₄×D₄	—	4	8	no	—
706	C₄×D₄	—	4	4	no	—
707	C₄×D₄	—	4	4	no	—
708	C₄×D₄	—	4	8	no	—
709	C₄×D₄	—	4	4	no	—
710	C₄×D₄	—	4	8	no	—
711	C₄×D₄	—	4	4	no	—
712	C₄×D₄	—	8	4	no	—
713	C₄×D₄	—	8	4	no	—
714	C₄×D₄	—	8	4	no	—
715	C₄×D₄	—	8	4	no	—
716	C₄×D₄	—	8	4	no	—
717	C₄×D₄	—	8	4	no	—
718	C₄×D₄	—	8	4	no	—
719	#117	—	4	4	no	—
720	#117	—	4	8	no	—
721	#117	—	4	4	no	—
722	#117	—	8	4	no	—
723	C₂×C₄⋊C₄	—	4	4	no	—
724	C₂×C₄⋊C₄	—	4	4	no	—
725	C₂×C₄⋊C₄	—	8	4	no	—
726	C₂×C₄⋊C₄	—	8	4	no	—
727	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊C₄	—	2	8	no	—
762	C₂×C₂²⋊C₄	—	2	8	no	—
763	C₂×C₂²⋊C₄	—	2	8	no	—
764	C₂×C₂²⋊C₄	—	2	8	no	—
765	C₂×C₂²⋊C₄	—	2	4	no	—
766	C₂×C₂²⋊C₄	—	2	4	no	—
767	C₂×C₂²⋊C₄	—	2	8	no	—
768	C₂×C₂²⋊C₄	—	4	4	no	—
769	C₂×C₂²⋊C₄	—	4	8	no	—
770	C₂×C₂²⋊C₄	—	4	8	no	—
771	C₂×C₂²⋊C₄	—	4	4	no	—
772	C₂×C₂²⋊C₄	—	4	4	no	—
773	C₂×C₂²⋊C₄	—	4	2	no	—
774	C₂×C₂²⋊C₄	—	4	4	no	—
775	C₂×C₂²⋊C₄	—	4	2	no	—
776	C₂×C₂²⋊C₄	—	4	4	no	—
777	C₂×C₂²⋊C₄	—	4	2	no	—
778	C₂×C₂²⋊C₄	—	8	4	no	—
779	C₂×C₂²⋊C₄	—	8	4	no	—
780	C₂×C₂²⋊C₄	—	8	4	no	—
781	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
850	C₂×C₄²	C₂⁴	1	4	yes	—
851	C₂×C₄²	C₂⁴	1	2	yes	—
852	C₂×C₄²	C₂⁴	1	4	yes	—
853	C₂×C₄²	C₂⁴	1	2	yes	—
854	C₂×C₄²	C₂⁴	1	4	yes	—
855	C₂×C₄²	C₂⁴	1	4	yes	—
856	C₂×C₄²	C₂⁴	1	4	yes	—
857	C₂×C₄²	C₂⁴	1	4	yes	—
858	C₂×C₄²	C₂⁴	1	4	yes	—
859	C₂×C₄²	C₂⁴	1	4	yes	—
860	#95	C₂⁴	1	2	yes	—
861	#95	C₂⁴	1	2	yes	—
862	#95	C₂⁴	1	2	yes	—
863	#95	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	2	yes	—
866	#95	C₂⁴	1	2	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	2	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	#95	C₂⁴	1	4	yes	—
892	#95	C₂⁴	1	4	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	2	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	2	yes	—
898	#95	C₂⁴	1	4	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	4	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	4	yes	—
904	C₂⁴	—	2	4	no	—
905	C₂⁴	—	2	2	no	—
906	C₂⁴	—	2	4	no	—
907	C₂⁴	—	2	2	no	—
908	C₂⁴	—	2	4	no	—
909	C₂⁴	—	2	2	no	—
910	C₂⁴	—	4	1	no	—
911	C₂⁴	—	4	4	no	—
912	C₂⁴	—	4	1	no	—
913	C₂⁴	—	4	1	no	—
914	C₂⁴	—	4	2	no	—
915	C₂⁴	—	4	4	no	—
916	C₂⁴	—	4	4	no	—
917	C₂⁴	—	4	4	no	—
918	C₂⁴	—	4	4	no	—
919	C₂⁴	—	4	4	no	—
920	C₂⁴	—	4	4	no	—
921	C₂⁴	—	4	16	no	—
922	C₂⁴	—	4	1	no	—
923	C₂⁴	—	4	2	no	—
924	C₂⁴	—	4	2	no	—
925	C₂⁴	—	4	1	no	—
926	C₂⁴	—	4	2	no	—
927	C₂⁴	—	4	1	no	—
928	C₂⁴	—	4	4	no	—
929	C₂⁴	—	4	4	no	—
930	C₂⁴	—	4	4	no	—
931	C₂⁴	—	8	16	no	—
932	C₂⁴	—	8	16	no	—
933	C₂⁴	—	8	16	no	—
934	C₂⁴	C₂×#41	1	8	yes	—
935	C₂⁴	C₂×#41	1	4	yes	—
936	C₂⁴	C₂×#41	1	8	yes	—
937	C₂⁴	C₂×#41	1	4	yes	—
938	C₂⁴	C₂×#41	1	4	yes	—
939	C₂⁴	C₂⁵	1	4	yes	—
940	C₂⁴	C₂⁵	1	2	yes	—
941	C₂⁴	C₂⁵	1	2	yes	—
942	C₂⁴	C₂⁵	1	1	yes	characteristic
943	C₂⁴	C₂⁵	1	2	yes	—
944	C₂⁴	C₂⁵	1	1	yes	characteristic
945	C₂⁴	C₂⁵	1	1	yes	characteristic
946	C₂×D₄	—	2	8	no	—
947	C₂×D₄	—	2	4	no	—
948	C₂×D₄	—	2	8	no	—
949	C₂×D₄	—	2	8	no	—
950	C₂×D₄	—	2	8	no	—
951	C₂×D₄	—	2	8	no	—
952	C₂×D₄	—	2	4	no	—
953	C₂×D₄	—	2	8	no	—
954	C₂×D₄	—	2	4	no	—
955	C₂×D₄	—	2	8	no	—
956	C₂×D₄	—	2	4	no	—
957	C₂×D₄	—	2	8	no	—
958	C₂×D₄	—	2	8	no	—
959	C₂×D₄	—	2	8	no	—
960	C₂×D₄	—	4	4	no	—
961	C₂×D₄	—	4	2	no	—
962	C₂×D₄	—	4	4	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	4	no	—
965	C₂×D₄	—	4	4	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	—	4	4	no	—
968	C₂×D₄	—	4	4	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	4	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	4	no	—
979	C₂×D₄	—	4	4	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	4	no	—
982	C₂×D₄	—	4	4	no	—
983	C₂×D₄	—	4	4	no	—
984	C₂×D₄	—	4	4	no	—
985	C₂×D₄	—	4	2	no	—
986	C₂×D₄	—	4	32	no	—
987	C₂×D₄	—	4	16	no	—
988	C₂×D₄	—	8	16	no	—
989	C₂×D₄	—	8	16	no	—
990	C₂×D₄	—	8	16	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	4	no	—
993	C₂²×C₄	—	2	4	no	—
994	C₂²×C₄	—	2	4	no	—
995	C₂²×C₄	—	2	4	no	—
996	C₂²×C₄	—	2	8	no	—
997	C₂²×C₄	—	2	4	no	—
998	C₂²×C₄	—	2	8	no	—
999	C₂²×C₄	—	2	4	no	—
1000	C₂²×C₄	—	2	8	no	—
1001	C₂²×C₄	—	2	4	no	—
1002	C₂²×C₄	—	2	4	no	—
1003	C₂²×C₄	—	2	8	no	—
1004	C₂²×C₄	—	4	2	no	—
1005	C₂²×C₄	—	4	1	no	—
1006	C₂²×C₄	—	4	1	no	—
1007	C₂²×C₄	—	4	2	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	2	no	—
1010	C₂²×C₄	—	4	4	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	4	no	—
1013	C₂²×C₄	—	4	4	no	—
1014	C₂²×C₄	—	4	4	no	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	4	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	4	no	—
1021	C₂²×C₄	—	4	4	no	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	4	4	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	—	4	2	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	4	no	—
1031	C₂²×C₄	—	4	4	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	8	16	no	—
1034	C₂²×C₄	C₂⁵	1	2	yes	—
1035	C₂²×C₄	C₂⁵	1	4	yes	—
1036	C₂²×C₄	C₂⁵	1	4	yes	—
1037	C₂²×C₄	C₂⁵	1	4	yes	—
1038	C₂²×C₄	C₂⁵	1	4	yes	—
1039	C₂²×C₄	C₂⁵	1	4	yes	—
1040	C₂²×C₄	C₂⁵	1	2	yes	—
1041	C₂²×C₄	C₂⁵	1	4	yes	—
1042	C₂²×C₄	C₂⁵	1	2	yes	—
1043	C₂²×C₄	C₂⁵	1	2	yes	—
1044	C₂²×C₄	C₂⁵	1	4	yes	—
1045	C₂²×C₄	C₂⁵	1	2	yes	—
1046	C₂²×C₄	C₂⁵	1	4	yes	—
1047	C₂²×C₄	C₂⁵	1	4	yes	—
1048	C₂²×C₄	C₂⁵	1	2	yes	—
1049	C₂²×C₄	C₂⁵	1	2	yes	—
1050	C₄⋊C₄	—	2	8	no	—
1051	C₄⋊C₄	—	2	4	no	—
1052	C₄⋊C₄	—	4	2	no	—
1053	C₄⋊C₄	—	4	2	no	—
1054	C₄⋊C₄	—	4	4	no	—
1055	C₄⋊C₄	—	4	2	no	—
1056	C₄⋊C₄	—	4	2	no	—
1057	C₄⋊C₄	—	4	4	no	—
1058	C₄⋊C₄	—	4	4	no	—
1059	C₄⋊C₄	—	4	4	no	—
1060	C₄⋊C₄	—	4	4	no	—
1061	C₄⋊C₄	—	4	4	no	—
1062	C₄⋊C₄	—	4	4	no	—
1063	C₄⋊C₄	—	4	4	no	—
1064	C₄⋊C₄	—	4	4	no	—
1065	C₄⋊C₄	—	4	4	no	—
1066	C₄⋊C₄	—	4	4	no	—
1067	C₄⋊C₄	—	4	2	no	—
1068	C₄⋊C₄	—	4	2	no	—
1069	C₄⋊C₄	—	4	4	no	—
1070	C₄⋊C₄	—	4	4	no	—
1071	C₄⋊C₄	—	4	4	no	—
1072	C₄⋊C₄	—	4	4	no	—
1073	C₄⋊C₄	—	4	4	no	—
1074	C₄⋊C₄	—	4	4	no	—
1075	C₄⋊C₄	—	4	4	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	2	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₄⋊C₄	—	4	4	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₂²⋊C₄	—	2	8	no	—
1085	C₂²⋊C₄	—	2	4	no	—
1086	C₂²⋊C₄	—	2	8	no	—
1087	C₂²⋊C₄	—	2	8	no	—
1088	C₂²⋊C₄	—	2	8	no	—
1089	C₂²⋊C₄	—	2	8	no	—
1090	C₂²⋊C₄	—	2	8	no	—
1091	C₂²⋊C₄	—	2	8	no	—
1092	C₂²⋊C₄	—	2	4	no	—
1093	C₂²⋊C₄	—	2	8	no	—
1094	C₂²⋊C₄	—	2	4	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	8	no	—
1097	C₂²⋊C₄	—	2	4	no	—
1098	C₂²⋊C₄	—	2	8	no	—
1099	C₂²⋊C₄	—	2	4	no	—
1100	C₂²⋊C₄	—	4	2	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	4	2	no	—
1104	C₂²⋊C₄	—	4	2	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	4	no	—
1107	C₂²⋊C₄	—	4	2	no	—
1108	C₂²⋊C₄	—	4	2	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₂²⋊C₄	—	4	2	no	—
1111	C₂²⋊C₄	—	4	4	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	4	2	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	2	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	4	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	4	no	—
1137	C₂²⋊C₄	—	4	4	no	—
1138	C₂²⋊C₄	—	4	4	no	—
1139	C₂²⋊C₄	—	4	4	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	4	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	4	no	—
1148	C₂²⋊C₄	—	4	4	no	—
1149	C₂²⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1153	C₄²	—	2	8	no	—
1154	C₄²	—	2	4	no	—
1155	C₄²	—	4	2	no	—
1156	C₄²	—	4	4	no	—
1157	C₄²	—	4	4	no	—
1158	C₄²	—	4	4	no	—
1159	C₄²	—	4	4	no	—
1160	C₄²	—	4	4	no	—
1161	C₄²	—	4	4	no	—
1162	C₄²	—	4	4	no	—
1163	C₂³	—	2	4	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	2	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	4	no	—
1176	C₂³	—	2	4	no	—
1177	C₂³	—	2	4	no	—
1178	C₂³	—	2	16	no	—
1179	C₂³	—	2	8	no	—
1180	C₂³	—	2	4	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	4	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	2	4	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	4	no	—
1187	C₂³	—	2	4	no	—
1188	C₂³	—	2	4	no	—
1189	C₂³	—	2	4	no	—
1190	C₂³	—	2	4	no	—
1191	C₂³	—	2	4	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	4	8	no	—
1194	C₂³	—	4	8	no	—
1195	C₂³	—	4	8	no	—
1196	C₂³	—	4	8	no	—
1197	C₂³	—	4	4	no	—
1198	C₂³	—	4	8	no	—
1199	C₂³	—	4	8	no	—
1200	C₂³	—	4	8	no	—
1201	C₂³	—	4	8	no	—
1202	C₂³	—	4	8	no	—
1203	C₂³	—	4	4	no	—
1204	C₂³	—	4	8	no	—
1205	C₂³	—	4	8	no	—
1206	C₂³	—	8	8	no	—
1207	C₂³	—	8	4	no	—
1208	C₂³	—	8	8	no	—
1209	C₂³	—	8	4	no	—
1210	C₂³	—	8	4	no	—
1211	C₂³	—	8	4	no	—
1212	C₂³	—	8	4	no	—
1213	C₂³	—	8	4	no	—
1214	C₂³	—	8	8	no	—
1215	C₂³	—	8	4	no	—
1216	C₂³	—	8	8	no	—
1217	C₂³	—	8	64	no	—
1218	C₂³	—	16	4	no	—
1219	C₂³	—	16	2	no	—
1220	C₂³	—	16	4	no	—
1221	C₂³	—	16	2	no	—
1222	C₂³	C₂²×#41	1	4	yes	—
1223	C₂³	C₂²×#41	1	2	yes	—
1224	C₂³	C₂²×#41	1	4	yes	—
1225	C₂³	C₂²×#41	1	2	yes	—
1226	C₂³	C₂²×#41	1	2	yes	—
1227	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1228	C₂³	#585	1	2	yes	—
1229	C₂³	C₂⁶	1	1	yes	characteristic
1230	D₄	—	4	16	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	16	no	—
1233	D₄	—	4	16	no	—
1234	D₄	—	4	16	no	—
1235	D₄	—	4	16	no	—
1236	D₄	—	4	8	no	—
1237	D₄	—	8	8	no	—
1238	D₄	—	8	8	no	—
1239	D₄	—	8	8	no	—
1240	D₄	—	8	4	no	—
1241	D₄	—	8	8	no	—
1242	D₄	—	16	4	no	—
1243	D₄	—	16	2	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	4	no	—
1283	C₂×C₄	—	2	4	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	4	8	no	—
1286	C₂×C₄	—	4	4	no	—
1287	C₂×C₄	—	8	8	no	—
1288	C₂×C₄	—	8	4	no	—
1289	C₂×C₄	—	8	8	no	—
1290	C₂×C₄	—	8	4	no	—
1291	C₂×C₄	—	8	8	no	—
1292	C₂×C₄	—	8	4	no	—
1293	C₂×C₄	—	8	8	no	—
1294	C₂×C₄	—	8	4	no	—
1295	C₂×C₄	—	8	4	no	—
1296	C₂×C₄	—	8	4	no	—
1297	C₂×C₄	—	8	4	no	—
1298	C₂×C₄	—	8	4	no	—
1299	C₂×C₄	—	8	8	no	—
1300	C₂×C₄	—	16	2	no	—
1301	C₂×C₄	—	16	4	no	—
1302	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1303	C₂²	—	2	4	no	—
1304	C₂²	—	2	4	no	—
1305	C₂²	—	2	4	no	—
1306	C₂²	—	2	4	no	—
1307	C₂²	—	2	4	no	—
1308	C₂²	—	2	4	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	2	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	4	16	no	—
1317	C₂²	—	4	4	no	—
1318	C₂²	—	4	2	no	—
1319	C₂²	—	4	4	no	—
1320	C₂²	—	4	2	no	—
1321	C₂²	—	4	4	no	—
1322	C₂²	—	4	2	no	—
1323	C₂²	—	4	4	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	4	4	no	—
1326	C₂²	—	4	2	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	4	2	no	—
1329	C₂²	—	4	4	no	—
1330	C₂²	—	4	4	no	—
1331	C₂²	—	4	4	no	—
1332	C₂²	—	4	4	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	4	4	no	—
1335	C₂²	—	4	4	no	—
1336	C₂²	—	4	2	no	—
1337	C₂²	—	8	16	no	—
1338	C₂²	—	8	8	no	—
1339	C₂²	—	8	8	no	—
1340	C₂²	—	8	16	no	—
1341	C₂²	—	16	8	no	—
1342	C₂²	—	16	4	no	—
1343	C₂²	#3459	1	4	yes	—
1344	C₂²	C₂³×#41	1	1	yes	characteristic
1345	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1346	C₂²	C₂×#585	1	1	yes	characteristic
1347	C₂²	H(7,𝔽₂)	1	4	yes	—
1348	C₄	—	2	4	no	—
1349	C₄	—	4	4	no	—
1350	C₄	—	4	4	no	—
1351	C₄	—	4	2	no	—
1352	C₄	—	4	2	no	—
1353	C₄	—	4	2	no	—
1354	C₄	—	4	4	no	—
1355	C₄	—	4	2	no	—
1356	C₄	—	4	4	no	—
1357	C₄	—	4	4	no	—
1358	C₄	—	4	2	no	—
1359	C₄	—	4	4	no	—
1360	C₄	—	4	4	no	—
1361	C₄	—	4	4	no	—
1362	C₄	—	4	4	no	—
1363	C₄	—	4	2	no	—
1364	C₂	—	2	4	no	—
1365	C₂	—	4	4	no	—
1366	C₂	—	4	2	no	—
1367	C₂	—	4	4	no	—
1368	C₂	—	4	2	no	—
1369	C₂	—	8	4	no	—
1370	C₂	—	8	2	no	—
1371	C₂	C₂×#3459	1	1	yes	characteristic
1372	C₂	#62844	1	2	yes	—
1373	C₂	#63041	1	2	yes	—
1374	C₂	#63042	1	2	yes	—

	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. #41606	C₂	semidirect
2. #41604	C₂	semidirect
3. #40929	C₂	semidirect
4. #40928	C₂	semidirect
5. #40917	C₂	semidirect
6. #40916	C₂	semidirect
7. #40913	C₂	semidirect
8. #40663	C₂	semidirect
9. #40662	C₂	semidirect
10. #40661	C₂	semidirect
11. #40659	C₂	semidirect
12. #37527	C₂	semidirect
13. #37527	C₂	semidirect
14. #37436	C₂	semidirect
15. #37436	C₂	semidirect
16. #36676	C₂	semidirect
17. C₂×#2842	C₂	semidirect
18. #35840	C₂	semidirect
19. #35837	C₂	semidirect
20. #35780	C₂	semidirect
21. #35777	C₂	semidirect
22. #34198	C₂	semidirect
23. #34198	C₂	semidirect
24. C₂×#553	C₂²	semidirect
27. C₂×#518	C₂²	semidirect
28. C₂×#518	C₂²	semidirect
30. #2842	C₂²	semidirect
31. #2842	C₂²	semidirect
32. #2842	C₂²	semidirect
33. #2842	C₂²	semidirect
34. #2842	C₂²	semidirect
35. #2842	C₂²	semidirect
36. #2842	C₂²	semidirect
37. #2834	C₂²	semidirect
38. #2827	C₂²	semidirect
39. #2827	C₂²	semidirect
40. #2827	C₂²	semidirect
41. #2826	C₂²	semidirect
42. #2826	C₂²	semidirect
43. #2825	C₂²	semidirect
44. #2812	C₂²	semidirect
45. #2812	C₂²	semidirect
46. #2812	C₂²	semidirect
47. #2812	C₂²	semidirect
48. #2771	C₂²	semidirect
49. #2765	C₂²	semidirect
50. #2761	C₂²	semidirect
51. #2752	C₂²	semidirect
52. #2750	C₂²	semidirect
53. #2749	C₂²	semidirect
54. #2746	C₂²	semidirect
55. #2744	C₂²	semidirect
56. #2743	C₂²	semidirect
57. #2743	C₂²	semidirect
58. #2740	C₂²	semidirect
59. #2739	C₂²	semidirect
60. #2738	C₂²	semidirect
61. #2735	C₂²	semidirect
62. #2735	C₂²	semidirect
63. #2707	C₂²	semidirect
64. #2706	C₂²	semidirect
65. #2705	C₂²	semidirect
66. #2697	C₂²	semidirect
67. #2695	C₂²	semidirect
68. #2694	C₂²	semidirect
69. #2693	C₂²	semidirect
70. #2685	C₂²	semidirect
71. #2685	C₂²	semidirect
72. #2678	C₂²	semidirect
73. #2668	C₂²	semidirect
74. #2652	C₂²	semidirect
75. #2652	C₂²	semidirect
76. #2652	C₂²	semidirect
77. #2649	C₂²	semidirect
78. #2649	C₂²	semidirect
79. #2649	C₂²	semidirect
80. #2648	C₂²	semidirect
81. #2648	C₂²	semidirect
82. #2648	C₂²	semidirect
83. #2636	C₂²	semidirect
84. #2636	C₂²	semidirect
85. #2636	C₂²	semidirect
86. #2635	C₂²	semidirect
87. #2635	C₂²	semidirect
88. #2633	C₂²	semidirect
89. #2633	C₂²	semidirect
90. #2630	C₂²	semidirect
91. #2630	C₂²	semidirect
92. #2630	C₂²	semidirect
103. #2611	C₂²	semidirect
104. #2609	C₂²	semidirect
105. #2601	C₂²	semidirect
106. #2598	C₂²	semidirect
107. #2591	C₂²	semidirect
108. #2579	C₂²	semidirect
109. #2576	C₂²	semidirect
110. #2575	C₂²	semidirect
111. #2573	C₂²	semidirect
112. #2569	C₂²	semidirect
113. #2558	C₂²	semidirect
114. #2554	C₂²	semidirect
115. #2553	C₂²	semidirect
116. #2543	C₂²	semidirect
117. #2539	C₂²	semidirect
118. #2534	C₂²	semidirect
119. #2526	C₂²	semidirect
120. #2518	C₂²	semidirect
121. #2518	C₂²	semidirect
122. #2518	C₂²	semidirect
123. #2517	C₂²	semidirect
124. #2517	C₂²	semidirect
125. #2516	C₂²	semidirect
126. #2515	C₂²	semidirect
127. #2510	C₂²	semidirect
128. #2504	C₂²	semidirect
129. #2487	C₂²	semidirect
130. #2483	C₂²	semidirect
131. #2483	C₂²	semidirect
132. #2482	C₂²	semidirect
133. #2481	C₂²	semidirect
134. #2481	C₂²	semidirect
135. #2480	C₂²	semidirect
136. #2479	C₂²	semidirect
137. #2475	C₂²	semidirect
138. #2471	C₂²	semidirect
139. #2471	C₂²	semidirect
140. #2470	C₂²	semidirect
141. #2467	C₂²	semidirect
142. #2467	C₂²	semidirect
143. #2467	C₂²	semidirect
144. #2466	C₂²	semidirect
145. #2466	C₂²	semidirect
146. #2466	C₂²	semidirect
147. #2460	C₂²	semidirect
148. #2460	C₂²	semidirect
149. #2460	C₂²	semidirect
150. #2457	C₂²	semidirect
151. #2456	C₂²	semidirect
152. #2456	C₂²	semidirect
153. #2456	C₂²	semidirect
154. #2455	C₂²	semidirect
155. #2455	C₂²	semidirect
156. #2444	C₂²	semidirect
157. #2443	C₂²	semidirect
158. #2443	C₂²	semidirect
159. #2442	C₂²	semidirect
160. #2424	C₂²	semidirect
161. #2418	C₂²	semidirect
162. #2416	C₂²	semidirect
163. #2412	C₂²	semidirect
164. #2412	C₂²	semidirect
165. #2412	C₂²	semidirect
166. #2411	C₂²	semidirect
167. #2410	C₂²	semidirect
168. #2410	C₂²	semidirect
169. #2410	C₂²	semidirect
170. #2405	C₂²	semidirect
171. #2405	C₂²	semidirect
172. #2405	C₂²	semidirect
173. #2403	C₂²	semidirect
174. #2403	C₂²	semidirect
175. #2401	C₂²	semidirect
176. #2397	C₂²	semidirect
177. #2395	C₂²	semidirect
178. #2395	C₂²	semidirect
179. C₂×#399	C₂²	semidirect
180. C₂×#399	C₂²	semidirect
181. #2392	C₂²	semidirect
182. #2392	C₂²	semidirect
183. #2392	C₂²	semidirect
184. C₂×#396	C₂²	semidirect
185. C₂×#396	C₂²	semidirect
186. #2364	C₂²	semidirect
187. #2361	C₂²	semidirect
188. #2358	C₂²	semidirect
189. #2358	C₂²	semidirect
190. #2358	C₂²	semidirect
191. #2358	C₂²	semidirect
192. #2358	C₂²	semidirect
193. #2358	C₂²	semidirect
194. #2353	C₂²	semidirect
195. #2352	C₂²	semidirect
196. #2345	C₂²	semidirect
197. #2342	C₂²	semidirect
198. #2342	C₂²	semidirect
199. #2342	C₂²	semidirect
200. D₄×C₂²⋊C₄	C₂²	semidirect
201. D₄×C₂²⋊C₄	C₂²	semidirect
202. D₄×C₂²⋊C₄	C₂²	semidirect
207. #2315	C₂²	semidirect
208. #2315	C₂²	semidirect
209. #2308	C₂²	semidirect
210. #2308	C₂²	semidirect
211. C₄×#120	C₂²	semidirect
212. C₄×#120	C₂²	semidirect
213. C₄×#120	C₂²	semidirect
214. C₄×#120	C₂²	semidirect
217. #2273	C₂²	semidirect
218. #2273	C₂²	semidirect
227. C₂×#126	C₂³	semidirect
228. C₂×#126	C₂³	semidirect
229. C₂×#126	C₂³	semidirect
230. C₂×#125	C₂³	semidirect
231. C₂×#125	C₂³	semidirect
235. C₂×#123	C₂³	semidirect
236. C₂×#123	C₂³	semidirect
237. C₂×#123	C₂³	semidirect
242. C₂×#121	C₂³	semidirect
243. C₂×#121	C₂³	semidirect
272. C₂×C₄×D₄	C₂³	semidirect
273. C₂×C₄×D₄	C₂³	semidirect
276. C₂×#117	C₂³	semidirect
277. C₂×#117	C₂³	semidirect
303. #401	C₂³	semidirect
304. #400	C₂³	semidirect
305. #400	C₂³	semidirect
306. #400	C₂³	semidirect
307. #400	C₂³	semidirect
308. #400	C₂³	semidirect
309. #400	C₂³	semidirect
310. #400	C₂³	semidirect
311. #400	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
329. #399	C₂³	semidirect
330. #399	C₂³	semidirect
331. #399	C₂³	semidirect
332. #399	C₂³	semidirect
333. #398	C₂³	semidirect
334. #398	C₂³	semidirect
335. #398	C₂³	semidirect
336. #398	C₂³	semidirect
337. #398	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
340. #398	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #397	C₂³	semidirect
359. #397	C₂³	semidirect
360. #397	C₂³	semidirect
361. #397	C₂³	semidirect
362. #397	C₂³	semidirect
363. #397	C₂³	semidirect
364. #397	C₂³	semidirect
365. #397	C₂³	semidirect
382. #396	C₂³	semidirect
383. #396	C₂³	semidirect
384. #396	C₂³	semidirect
385. #396	C₂³	semidirect
386. #396	C₂³	semidirect
387. #396	C₂³	semidirect
412. #394	C₂³	semidirect
413. #394	C₂³	semidirect
414. #394	C₂³	semidirect
415. #394	C₂³	semidirect
416. #394	C₂³	semidirect
417. #394	C₂³	semidirect
418. #394	C₂³	semidirect
419. #394	C₂³	semidirect
434. #392	C₂³	semidirect
441. #390	C₂³	semidirect
442. #390	C₂³	semidirect
443. #390	C₂³	semidirect
444. #389	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
462. #388	C₂³	semidirect
463. #388	C₂³	semidirect
464. #388	C₂³	semidirect
465. #388	C₂³	semidirect
466. #388	C₂³	semidirect
467. #388	C₂³	semidirect
468. #388	C₂³	semidirect
469. #388	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #388	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #387	C₂³	semidirect
481. #387	C₂³	semidirect
482. #387	C₂³	semidirect
483. #387	C₂³	semidirect
484. #387	C₂³	semidirect
485. #387	C₂³	semidirect
486. #387	C₂³	semidirect
487. #387	C₂³	semidirect
488. #387	C₂³	semidirect
489. #387	C₂³	semidirect
490. #387	C₂³	semidirect
491. #387	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
495. #387	C₂³	semidirect
496. #387	C₂³	semidirect
497. #387	C₂³	semidirect
529. #386	C₂³	semidirect
530. #386	C₂³	semidirect
531. #386	C₂³	semidirect
551. #385	C₂³	semidirect
552. #385	C₂³	semidirect
553. #385	C₂³	semidirect
554. #385	C₂³	semidirect
555. #385	C₂³	semidirect
556. #385	C₂³	semidirect
557. #383	C₂³	semidirect
558. #383	C₂³	semidirect
559. #382	C₂³	semidirect
560. #382	C₂³	semidirect
561. #382	C₂³	semidirect
567. #381	C₂³	semidirect
568. #381	C₂³	semidirect
576. #380	C₂³	semidirect
577. #380	C₂³	semidirect
578. #380	C₂³	semidirect
595. C₄×C₄⋊C₄	C₂³	semidirect
596. C₄×C₄⋊C₄	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#41606	2
#41604	2
#40929	2
#40928	2
#40917	2
#40916	2
#40913	2
#40663	2
#40662	2
#40661	2
#40659	2
#37527	2
#37436	2
#36676	2
C₂×#2842	2
#35840	2
#35837	2
#35780	2
#35777	2
#34198	2