Subgroups — #7744936

Order 512.

6656 conjugacy classes of subgroups.

The subgroup lattice has 1437 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#44002	C₂	1	4	yes	maximal, complemented
2	#43960	C₂	1	2	yes	maximal, complemented
3	#43941	C₂	1	4	yes	maximal, complemented
4	#43938	C₂	1	4	yes	maximal, complemented
5	#43890	C₂	1	2	yes	maximal, complemented
6	#43054	C₂	1	4	yes	maximal, complemented
7	#43053	C₂	1	4	yes	maximal, complemented
8	#42011	C₂	1	2	yes	maximal, complemented
9	#42009	C₂	1	2	yes	maximal, complemented
10	#40562	C₂	1	4	yes	maximal, complemented
11	#40560	C₂	1	4	yes	maximal, complemented
12	#36206	C₂	1	2	yes	maximal, complemented
13	#36158	C₂	1	4	yes	maximal, complemented
14	#36152	C₂	1	2	yes	maximal, complemented
15	#35765	C₂	1	4	yes	maximal, complemented
16	#35764	C₂	1	4	yes	maximal, complemented
17	#35731	C₂	1	2	yes	maximal, complemented
18	#35729	C₂	1	2	yes	maximal, complemented
19	#35224	C₂	1	1	yes	maximal, characteristic, complemented
20	#35050	C₂	1	2	yes	maximal, complemented
21	C₂²×#394	C₂	1	1	yes	maximal, characteristic, complemented
22	#34200	C₂	1	1	yes	maximal, characteristic, complemented
23	#34176	C₂	1	2	yes	maximal, complemented
24	C₂⁴×D₄	C₂²	1	1	yes	characteristic
25	C₂×#551	C₂²	1	4	yes	complemented
26	C₂×#546	C₂²	1	4	yes	—
27	C₂×#546	C₂²	1	2	yes	—
28	C₂×#544	C₂²	1	1	yes	characteristic, complemented
29	C₂×#525	C₂²	1	1	yes	characteristic
30	C₂×#520	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic
32	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
33	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
34	#2849	C₂²	1	4	yes	—
35	#2848	C₂²	1	2	yes	—
36	#2848	C₂²	1	2	yes	—
37	#2846	C₂²	1	4	yes	—
38	#2837	C₂²	1	4	yes	complemented
39	#2832	C₂²	1	2	yes	complemented
40	#2828	C₂²	1	2	yes	complemented
41	#2803	C₂²	1	4	yes	complemented
42	#2803	C₂²	1	4	yes	complemented
43	#2801	C₂²	1	4	yes	complemented
44	#2800	C₂²	1	4	yes	complemented
45	#2795	C₂²	1	2	yes	complemented
46	#2795	C₂²	1	4	yes	complemented
47	#2785	C₂²	1	2	yes	complemented
48	#2782	C₂²	1	2	yes	complemented
49	#2781	C₂²	1	4	yes	complemented
50	#2779	C₂²	1	4	yes	complemented
51	#2778	C₂²	1	4	yes	complemented
52	#2757	C₂²	1	4	yes	complemented
53	#2756	C₂²	1	4	yes	complemented
54	#2753	C₂²	1	4	yes	complemented
55	#2753	C₂²	1	4	yes	complemented
56	#2731	C₂²	1	4	yes	complemented
57	#2718	C₂²	1	4	yes	complemented
58	#2718	C₂²	1	4	yes	complemented
59	#2711	C₂²	1	4	yes	complemented
60	#2711	C₂²	1	4	yes	complemented
61	#2708	C₂²	1	4	yes	complemented
62	#2701	C₂²	1	4	yes	complemented
63	#2701	C₂²	1	4	yes	complemented
64	#2686	C₂²	1	4	yes	complemented
65	#2680	C₂²	1	2	yes	complemented
66	#2674	C₂²	1	4	yes	complemented
67	#2663	C₂²	1	4	yes	complemented
68	#2661	C₂²	1	4	yes	complemented
69	#2653	C₂²	1	4	yes	complemented
70	#2651	C₂²	1	4	yes	complemented
71	#2649	C₂²	1	4	yes	complemented
72	#2635	C₂²	1	2	yes	complemented
73	#2632	C₂²	1	2	yes	complemented
74	#2627	C₂²	1	2	yes	complemented
75	#2627	C₂²	1	2	yes	complemented
76	#2626	C₂²	1	2	yes	complemented
77	#2626	C₂²	1	2	yes	complemented
78	#2617	C₂²	1	2	yes	complemented
79	#2617	C₂²	1	2	yes	complemented
80	#2610	C₂²	1	2	yes	complemented
81	#2602	C₂²	1	4	yes	complemented
82	#2602	C₂²	1	4	yes	complemented
83	#2598	C₂²	1	2	yes	complemented
84	#2595	C₂²	1	4	yes	complemented
85	#2593	C₂²	1	4	yes	complemented
86	#2591	C₂²	1	2	yes	complemented
87	#2576	C₂²	1	4	yes	complemented
88	#2572	C₂²	1	2	yes	complemented
89	#2569	C₂²	1	2	yes	complemented
90	#2564	C₂²	1	2	yes	complemented
91	#2561	C₂²	1	4	yes	complemented
92	#2561	C₂²	1	4	yes	complemented
93	#2559	C₂²	1	4	yes	complemented
94	#2559	C₂²	1	4	yes	complemented
95	#2558	C₂²	1	4	yes	complemented
96	#2555	C₂²	1	2	yes	complemented
97	#2553	C₂²	1	4	yes	complemented
98	#2539	C₂²	1	4	yes	complemented
99	#2534	C₂²	1	4	yes	complemented
100	#2534	C₂²	1	4	yes	complemented
101	#2534	C₂²	1	4	yes	complemented
102	#2526	C₂²	1	4	yes	complemented
103	#2521	C₂²	1	4	yes	complemented
104	#2518	C₂²	1	4	yes	complemented
105	#2518	C₂²	1	4	yes	complemented
106	#2516	C₂²	1	4	yes	complemented
107	#2510	C₂²	1	4	yes	complemented
108	#2505	C₂²	1	4	yes	complemented
109	#2500	C₂²	1	4	yes	complemented
110	#2498	C₂²	1	4	yes	complemented
111	#2493	C₂²	1	4	yes	complemented
112	#2493	C₂²	1	4	yes	complemented
113	#2491	C₂²	1	4	yes	complemented
114	#2488	C₂²	1	4	yes	complemented
115	#2483	C₂²	1	4	yes	complemented
116	#2482	C₂²	1	4	yes	complemented
117	#2482	C₂²	1	4	yes	complemented
118	#2480	C₂²	1	4	yes	complemented
119	#2480	C₂²	1	4	yes	complemented
120	#2480	C₂²	1	4	yes	complemented
121	#2480	C₂²	1	4	yes	complemented
122	#2476	C₂²	1	4	yes	complemented
123	#2474	C₂²	1	4	yes	complemented
124	#2472	C₂²	1	4	yes	complemented
125	#2472	C₂²	1	4	yes	complemented
126	#2470	C₂²	1	4	yes	complemented
127	#2468	C₂²	1	4	yes	complemented
128	#2466	C₂²	1	4	yes	complemented
129	#2464	C₂²	1	4	yes	complemented
130	#2460	C₂²	1	4	yes	complemented
131	#2458	C₂²	1	4	yes	complemented
132	#2443	C₂²	1	4	yes	complemented
133	#2442	C₂²	1	4	yes	complemented
134	#2442	C₂²	1	4	yes	complemented
135	#2440	C₂²	1	4	yes	complemented
136	#2440	C₂²	1	4	yes	complemented
137	#2438	C₂²	1	4	yes	complemented
138	#2437	C₂²	1	4	yes	complemented
139	#2437	C₂²	1	4	yes	complemented
140	#2435	C₂²	1	4	yes	—
141	#2435	C₂²	1	2	yes	—
142	#2432	C₂²	1	4	yes	complemented
143	#2422	C₂²	1	4	yes	complemented
144	#2419	C₂²	1	4	yes	complemented
145	#2418	C₂²	1	4	yes	complemented
146	#2418	C₂²	1	4	yes	complemented
147	#2412	C₂²	1	4	yes	complemented
148	#2412	C₂²	1	4	yes	complemented
149	#2412	C₂²	1	4	yes	complemented
150	#2411	C₂²	1	4	yes	complemented
151	#2411	C₂²	1	4	yes	complemented
152	#2411	C₂²	1	4	yes	complemented
153	#2410	C₂²	1	4	yes	—
154	#2410	C₂²	1	4	yes	—
155	#2410	C₂²	1	4	yes	—
156	#2408	C₂²	1	4	yes	—
157	#2408	C₂²	1	2	yes	—
158	#2406	C₂²	1	2	yes	complemented
159	#2405	C₂²	1	4	yes	—
160	#2405	C₂²	1	4	yes	—
161	#2405	C₂²	1	4	yes	—
162	#2404	C₂²	1	4	yes	complemented
163	#2398	C₂²	1	2	yes	complemented
164	#2395	C₂²	1	4	yes	complemented
165	#2388	C₂²	1	2	yes	complemented
166	C₂×#394	C₂²	1	2	yes	—
167	C₂×#394	C₂²	1	4	yes	—
168	C₂×#394	C₂²	1	4	yes	—
169	C₂×#394	C₂²	1	2	yes	—
170	C₂×#394	C₂²	1	2	yes	—
171	C₂×#394	C₂²	1	4	yes	—
172	C₂×#394	C₂²	1	4	yes	—
173	C₂×#394	C₂²	1	2	yes	—
174	#2368	C₂²	1	2	yes	complemented
175	#2361	C₂²	1	4	yes	complemented
176	#2360	C₂²	1	4	yes	complemented
177	#2359	C₂²	1	4	yes	complemented
178	#2358	C₂²	1	4	yes	complemented
179	#2358	C₂²	1	4	yes	complemented
180	#2353	C₂²	1	2	yes	complemented
181	#2352	C₂²	1	4	yes	complemented
182	D₄×C₄⋊C₄	C₂²	1	4	yes	complemented
183	#2343	C₂²	1	4	yes	complemented
184	#2342	C₂²	1	4	yes	complemented
185	#2342	C₂²	1	4	yes	complemented
186	#2342	C₂²	1	4	yes	complemented
187	#2342	C₂²	1	4	yes	complemented
188	#2342	C₂²	1	4	yes	complemented
189	#2342	C₂²	1	4	yes	complemented
190	#2342	C₂²	1	4	yes	complemented
191	#2342	C₂²	1	4	yes	complemented
192	#2342	C₂²	1	4	yes	complemented
193	#2342	C₂²	1	4	yes	complemented
194	#2342	C₂²	1	4	yes	complemented
195	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
196	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
197	#2322	C₂²	1	2	yes	complemented
198	#2322	C₂²	1	2	yes	complemented
199	#2321	C₂²	1	4	yes	complemented
200	#2321	C₂²	1	4	yes	complemented
201	#2317	C₂²	1	1	yes	characteristic, complemented
202	#2317	C₂²	1	2	yes	complemented
203	#2316	C₂²	1	1	yes	characteristic, complemented
204	#2315	C₂²	1	2	yes	complemented
205	#2315	C₂²	1	2	yes	complemented
206	#2312	C₂²	1	4	yes	complemented
207	#2312	C₂²	1	2	yes	complemented
208	#2312	C₂²	1	2	yes	complemented
209	#2311	C₂²	1	1	yes	characteristic, complemented
210	C₄×#120	C₂²	1	2	yes	—
211	C₄×#120	C₂²	1	2	yes	—
212	#2280	C₂²	1	4	yes	—
213	#2280	C₂²	1	1	yes	characteristic
214	#2280	C₂²	1	2	yes	—
215	C₂×#379	C₂²	1	4	yes	—
216	#2274	C₂²	1	1	yes	characteristic, complemented
217	#2273	C₂²	1	4	yes	complemented
218	C₂²×#95	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	2	yes	—
220	C₂²×#41	C₂³	1	1	yes	characteristic
221	C₂²×#41	C₂³	1	2	yes	—
222	C₂³×D₄	—	4	4	no	—
223	C₂³×D₄	—	4	8	no	—
224	C₂³×D₄	C₂³	1	4	yes	—
225	C₂³×D₄	C₂³	1	2	yes	—
226	C₂³×D₄	C₂³	1	2	yes	—
227	C₂³×D₄	C₂³	1	4	yes	—
228	C₂⁴×C₄	C₂³	1	1	yes	characteristic
229	C₂⁴×C₄	C₂³	1	2	yes	—
230	C₂⁴×C₄	C₂³	1	1	yes	characteristic
231	C₂⁴×C₄	C₂³	1	1	yes	characteristic
232	#551	—	4	16	no	—
233	#546	—	4	16	no	—
234	#546	—	4	8	no	—
235	#544	—	4	4	no	—
236	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
237	C₂×#126	C₂³	1	4	yes	complemented
238	C₂×#126	C₂³	1	4	yes	complemented
239	C₂×#125	C₂³	1	4	yes	complemented
240	C₂×#124	C₂³	1	2	yes	—
241	C₂×#124	C₂³	1	4	yes	—
242	C₂×#124	C₂³	1	4	yes	complemented
243	#525	—	2	8	no	—
244	C₂×#123	C₂³	1	2	yes	—
245	C₂×#123	C₂³	1	4	yes	—
246	C₂×#123	C₂³	1	4	yes	—
247	C₂×#123	C₂³	1	4	yes	—
248	C₂×#123	C₂³	1	4	yes	—
249	C₂×#123	C₂³	1	4	yes	—
250	C₂×#123	C₂³	1	4	yes	complemented
251	C₂×#123	C₂³	1	4	yes	complemented
252	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
258	C₂×#121	C₂³	1	2	yes	—
259	C₂×#121	C₂³	1	2	yes	—
260	C₂×#121	C₂³	1	4	yes	—
261	C₂×#121	C₂³	1	4	yes	—
262	C₂×#121	C₂³	1	4	yes	—
263	C₂×#121	C₂³	1	4	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	2	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	4	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	#520	—	4	4	no	—
272	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
273	C₂×C₄×D₄	C₂³	1	2	yes	—
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	2	yes	—
276	C₂×C₄×D₄	C₂³	1	2	yes	—
277	C₂×C₄×D₄	C₂³	1	4	yes	—
278	C₂×C₄×D₄	C₂³	1	4	yes	—
279	C₂×C₄×D₄	C₂³	1	4	yes	—
280	C₂×C₄×D₄	C₂³	1	4	yes	complemented
281	C₂×C₄×D₄	C₂³	1	2	yes	complemented
282	C₂×#117	C₂³	1	1	yes	characteristic
283	C₂×#117	C₂³	1	1	yes	characteristic
284	C₂×#117	C₂³	1	2	yes	—
285	C₂×#117	C₂³	1	1	yes	characteristic
286	C₂×#117	C₂³	1	2	yes	—
287	C₂×#117	C₂³	1	4	yes	—
288	C₂×#117	C₂³	1	4	yes	—
289	C₂×#117	C₂³	1	4	yes	complemented
290	C₂×#117	C₂³	1	2	yes	complemented
291	C₂²×C₄⋊C₄	—	4	4	no	—
292	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
297	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
298	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
299	C₂²×C₂²⋊C₄	—	2	16	no	—
300	C₂²×C₂²⋊C₄	—	4	8	no	—
301	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
302	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
313	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	#401	C₂³	1	4	yes	complemented
322	#400	C₂³	1	2	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	2	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	2	yes	complemented
328	#400	C₂³	1	2	yes	complemented
329	#400	C₂³	1	2	yes	complemented
330	#400	C₂³	1	4	yes	complemented
331	#400	C₂³	1	4	yes	complemented
332	#399	C₂³	1	2	yes	complemented
333	#399	C₂³	1	4	yes	complemented
334	#399	C₂³	1	4	yes	complemented
335	#399	C₂³	1	4	yes	complemented
336	#399	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	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
343	#397	C₂³	1	4	yes	complemented
344	#397	C₂³	1	4	yes	complemented
345	#397	C₂³	1	4	yes	complemented
346	#397	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#396	C₂³	1	4	yes	complemented
358	#396	C₂³	1	4	yes	complemented
359	#396	C₂³	1	4	yes	complemented
360	#396	C₂³	1	4	yes	complemented
361	#396	C₂³	1	4	yes	complemented
362	#396	C₂³	1	4	yes	complemented
363	#396	C₂³	1	4	yes	complemented
364	#396	C₂³	1	4	yes	complemented
365	#395	C₂³	1	2	yes	complemented
366	#395	C₂³	1	2	yes	complemented
367	#395	C₂³	1	2	yes	complemented
368	#395	C₂³	1	2	yes	complemented
369	#395	C₂³	1	2	yes	complemented
370	#394	C₂³	1	2	yes	—
371	#394	C₂³	1	2	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	2	yes	—
377	#394	C₂³	1	2	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	2	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	2	yes	—
384	#394	C₂³	1	2	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	2	yes	—
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	2	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	2	yes	—
399	#394	C₂³	1	4	yes	—
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#394	C₂³	1	4	yes	complemented
406	#394	C₂³	1	4	yes	complemented
407	#394	C₂³	1	4	yes	complemented
408	#394	C₂³	1	4	yes	complemented
409	#394	C₂³	1	4	yes	complemented
410	#393	C₂³	1	4	yes	complemented
411	#393	C₂³	1	4	yes	complemented
412	#393	C₂³	1	4	yes	complemented
413	#393	C₂³	1	4	yes	complemented
414	#393	C₂³	1	2	yes	complemented
415	#392	C₂³	1	4	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	2	yes	—
419	#392	C₂³	1	4	yes	complemented
420	#392	C₂³	1	4	yes	complemented
421	#391	C₂³	1	2	yes	complemented
422	#391	C₂³	1	4	yes	complemented
423	#390	C₂³	1	4	yes	—
424	#390	C₂³	1	4	yes	—
425	#390	C₂³	1	4	yes	—
426	#390	C₂³	1	2	yes	complemented
427	#390	C₂³	1	4	yes	complemented
428	#390	C₂³	1	4	yes	complemented
429	#390	C₂³	1	4	yes	complemented
430	#390	C₂³	1	4	yes	complemented
431	#390	C₂³	1	4	yes	complemented
432	#390	C₂³	1	4	yes	complemented
433	#389	C₂³	1	4	yes	complemented
434	#389	C₂³	1	4	yes	complemented
435	#389	C₂³	1	4	yes	complemented
436	#389	C₂³	1	4	yes	complemented
437	#389	C₂³	1	4	yes	complemented
438	#389	C₂³	1	4	yes	complemented
439	#389	C₂³	1	4	yes	complemented
440	#389	C₂³	1	4	yes	complemented
441	#388	C₂³	1	4	yes	complemented
442	#388	C₂³	1	4	yes	complemented
443	#388	C₂³	1	4	yes	complemented
444	#388	C₂³	1	4	yes	complemented
445	#388	C₂³	1	4	yes	complemented
446	#388	C₂³	1	4	yes	complemented
447	#388	C₂³	1	4	yes	complemented
448	#388	C₂³	1	4	yes	complemented
449	#388	C₂³	1	4	yes	complemented
450	#388	C₂³	1	4	yes	complemented
451	#388	C₂³	1	4	yes	complemented
452	#388	C₂³	1	4	yes	complemented
453	#388	C₂³	1	4	yes	complemented
454	#388	C₂³	1	4	yes	complemented
455	#388	C₂³	1	4	yes	complemented
456	#388	C₂³	1	4	yes	complemented
457	#388	C₂³	1	4	yes	complemented
458	#388	C₂³	1	4	yes	complemented
459	#388	C₂³	1	4	yes	complemented
460	#388	C₂³	1	4	yes	complemented
461	#388	C₂³	1	4	yes	complemented
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	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	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	#386	C₂³	1	4	yes	—
498	#386	C₂³	1	2	yes	—
499	#386	C₂³	1	2	yes	—
500	#386	C₂³	1	4	yes	—
501	#386	C₂³	1	4	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	complemented
512	#386	C₂³	1	4	yes	complemented
513	#386	C₂³	1	4	yes	complemented
514	#386	C₂³	1	4	yes	complemented
515	#386	C₂³	1	4	yes	complemented
516	#386	C₂³	1	4	yes	complemented
517	#386	C₂³	1	4	yes	complemented
518	#386	C₂³	1	4	yes	complemented
519	#385	C₂³	1	4	yes	—
520	#385	C₂³	1	2	yes	—
521	#385	C₂³	1	2	yes	—
522	#385	C₂³	1	4	yes	—
523	#385	C₂³	1	4	yes	—
524	#385	C₂³	1	4	yes	—
525	#385	C₂³	1	4	yes	—
526	#385	C₂³	1	4	yes	—
527	#385	C₂³	1	4	yes	—
528	#385	C₂³	1	4	yes	—
529	#385	C₂³	1	4	yes	—
530	#385	C₂³	1	4	yes	—
531	#385	C₂³	1	4	yes	—
532	#385	C₂³	1	4	yes	—
533	#385	C₂³	1	4	yes	complemented
534	#385	C₂³	1	4	yes	complemented
535	#385	C₂³	1	4	yes	complemented
536	#385	C₂³	1	4	yes	complemented
537	#385	C₂³	1	4	yes	complemented
538	#385	C₂³	1	4	yes	complemented
539	#385	C₂³	1	4	yes	complemented
540	#385	C₂³	1	4	yes	complemented
541	#385	C₂³	1	4	yes	complemented
542	#385	C₂³	1	4	yes	complemented
543	#385	C₂³	1	4	yes	complemented
544	#385	C₂³	1	4	yes	complemented
545	#385	C₂³	1	4	yes	complemented
546	#385	C₂³	1	4	yes	complemented
547	#385	C₂³	1	4	yes	complemented
548	#384	C₂³	1	2	yes	complemented
549	#384	C₂³	1	4	yes	complemented
550	#383	C₂³	1	4	yes	complemented
551	#383	C₂³	1	2	yes	complemented
552	#382	C₂³	1	4	yes	complemented
553	#382	C₂³	1	2	yes	complemented
554	#382	C₂³	1	4	yes	complemented
555	#381	C₂³	1	4	yes	—
556	#381	C₂³	1	4	yes	—
557	#381	C₂³	1	4	yes	—
558	#381	C₂³	1	2	yes	—
559	#381	C₂³	1	4	yes	—
560	#381	C₂³	1	4	yes	—
561	#381	C₂³	1	4	yes	complemented
562	#381	C₂³	1	4	yes	complemented
563	#381	C₂³	1	2	yes	complemented
564	#380	C₂³	1	4	yes	—
565	#380	C₂³	1	2	yes	—
566	#380	C₂³	1	2	yes	—
567	#380	C₂³	1	4	yes	—
568	#380	C₂³	1	4	yes	—
569	#380	C₂³	1	2	yes	—
570	#380	C₂³	1	2	yes	—
571	#380	C₂³	1	2	yes	—
572	#380	C₂³	1	4	yes	—
573	#380	C₂³	1	2	yes	—
574	#380	C₂³	1	4	yes	—
575	#380	C₂³	1	4	yes	—
576	#380	C₂³	1	2	yes	—
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	4	yes	complemented
579	#380	C₂³	1	4	yes	complemented
580	#380	C₂³	1	4	yes	complemented
581	#379	C₂³	1	4	yes	—
582	#379	C₂³	1	4	yes	—
583	#379	C₂³	1	4	yes	—
584	#379	C₂³	1	4	yes	—
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	4	yes	—
587	#379	C₂³	1	4	yes	—
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	2	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	4	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	complemented
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
619	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
620	#376	C₂³	1	2	yes	complemented
621	C₂×#95	C₂³	1	2	yes	—
622	C₂×#95	C₂³	1	4	yes	—
623	C₂×#95	C₂³	1	4	yes	—
624	C₂×#95	C₂³	1	2	yes	—
625	C₂⁵	—	2	8	no	—
626	C₂⁵	—	2	8	no	—
627	C₂⁵	—	4	4	no	—
628	C₂⁵	—	4	4	no	—
629	C₂⁵	—	4	4	no	—
630	C₂⁵	—	4	4	no	—
631	C₂⁵	—	4	4	no	—
632	C₂⁵	C₂⁴	1	1	yes	characteristic
633	C₂⁵	C₂⁴	1	4	yes	—
634	C₂⁵	C₂⁴	1	4	yes	—
635	C₂⁵	C₂⁴	1	2	yes	—
636	C₂⁵	C₂⁴	1	2	yes	—
637	C₂×#41	—	2	4	no	—
638	C₂×#41	—	4	2	no	—
639	C₂×#41	—	4	2	no	—
640	C₂×#41	—	4	8	no	—
641	C₂×#41	—	4	4	no	—
642	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
643	C₂²×Q₈	C₂⁴	1	2	yes	—
644	C₂²×Q₈	C₂⁴	1	2	yes	—
645	C₂²×D₄	—	2	16	no	—
646	C₂²×D₄	—	2	8	no	—
647	C₂²×D₄	—	4	8	no	—
648	C₂²×D₄	—	4	8	no	—
649	C₂²×D₄	—	4	4	no	—
650	C₂²×D₄	—	4	8	no	—
651	C₂²×D₄	—	4	8	no	—
652	C₂²×D₄	—	4	8	no	—
653	C₂²×D₄	—	4	8	no	—
654	C₂²×D₄	—	4	8	no	—
655	C₂²×D₄	—	4	64	no	—
656	C₂²×D₄	C₂⁴	1	4	yes	—
657	C₂²×D₄	C₂⁴	1	2	yes	—
658	C₂²×D₄	C₂⁴	1	2	yes	—
659	C₂²×D₄	C₂⁴	1	2	yes	—
660	C₂²×D₄	C₂⁴	1	4	yes	—
661	C₂²×D₄	C₂⁴	1	1	yes	characteristic
662	C₂²×D₄	C₂⁴	1	4	yes	—
663	C₂²×D₄	C₂⁴	1	4	yes	—
664	C₂²×D₄	C₂⁴	1	4	yes	—
665	C₂²×D₄	C₂⁴	1	2	yes	—
666	C₂²×D₄	C₂⁴	1	4	yes	—
667	C₂²×D₄	C₂⁴	1	4	yes	—
668	C₂²×D₄	C₂⁴	1	2	yes	—
669	C₂³×C₄	—	2	8	no	—
670	C₂³×C₄	—	2	4	no	—
671	C₂³×C₄	—	4	2	no	—
672	C₂³×C₄	—	4	2	no	—
673	C₂³×C₄	—	4	4	no	—
674	C₂³×C₄	—	4	4	no	—
675	C₂³×C₄	—	4	4	no	—
676	C₂³×C₄	—	4	2	no	—
677	C₂³×C₄	—	4	4	no	—
678	C₂³×C₄	#41	1	8	yes	complemented
679	C₂³×C₄	C₂⁴	1	4	yes	—
680	C₂³×C₄	C₂⁴	1	4	yes	—
681	C₂³×C₄	C₂⁴	1	1	yes	characteristic
682	C₂³×C₄	C₂⁴	1	1	yes	characteristic
683	C₂³×C₄	C₂⁴	1	1	yes	characteristic
684	C₂³×C₄	C₂⁴	1	4	yes	—
685	C₂³×C₄	C₂⁴	1	1	yes	characteristic
686	C₂³×C₄	C₂⁴	1	2	yes	—
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	2	yes	—
689	C₂³×C₄	C₂⁴	1	4	yes	—
690	C₂³×C₄	C₂⁴	1	4	yes	—
691	C₂³×C₄	C₂⁴	1	1	yes	characteristic
692	C₂³×C₄	C₂⁴	1	2	yes	—
693	C₂³×C₄	C₂⁴	1	2	yes	—
694	C₂³×C₄	C₂⁴	1	4	yes	—
695	C₂³×C₄	C₂⁴	1	4	yes	—
696	C₂³×C₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	C₂⁴	1	2	yes	—
698	C₂³×C₄	C₂⁴	1	2	yes	—
699	C₂³×C₄	C₂⁴	1	1	yes	characteristic
700	C₄⋊Q₈	—	4	8	no	—
701	#126	—	4	8	no	—
702	#126	—	4	8	no	—
703	#125	—	4	8	no	—
704	#124	—	4	4	no	—
705	#124	—	4	8	no	—
706	#124	—	4	8	no	—
707	#123	—	2	8	no	—
708	#123	—	4	8	no	—
709	#123	—	4	8	no	—
710	#123	—	4	8	no	—
711	#123	—	4	8	no	—
712	#123	—	4	8	no	—
713	#123	—	4	8	no	—
714	#123	—	4	8	no	—
715	C₂²⋊Q₈	—	2	8	no	—
716	C₂²⋊Q₈	—	2	8	no	—
717	C₂²⋊Q₈	—	4	4	no	—
718	C₂²⋊Q₈	—	4	8	no	—
719	C₂²⋊Q₈	—	4	8	no	—
720	C₂²⋊Q₈	—	4	8	no	—
721	#121	—	2	8	no	—
722	#121	—	4	8	no	—
723	#121	—	4	8	no	—
724	#121	—	4	8	no	—
725	#121	—	4	4	no	—
726	#121	—	4	8	no	—
727	#120	—	2	8	no	—
728	#120	—	2	16	no	—
729	#120	—	4	8	no	—
730	#120	—	4	8	no	—
731	#120	—	4	8	no	—
732	#120	—	4	8	no	—
733	#120	—	4	8	no	—
734	C₄×Q₈	—	4	4	no	—
735	C₄×D₄	—	2	16	no	—
736	C₄×D₄	—	2	8	no	—
737	C₄×D₄	—	4	4	no	—
738	C₄×D₄	—	4	4	no	—
739	C₄×D₄	—	4	4	no	—
740	C₄×D₄	—	4	8	no	—
741	C₄×D₄	—	4	8	no	—
742	C₄×D₄	—	4	8	no	—
743	C₄×D₄	—	4	8	no	—
744	#117	—	2	4	no	—
745	#117	—	4	4	no	—
746	#117	—	4	2	no	—
747	#117	—	4	8	no	—
748	#117	—	4	4	no	—
749	#117	—	4	2	no	—
750	#117	—	4	4	no	—
751	#117	—	4	8	no	—
752	#117	—	4	8	no	—
753	C₂×C₄⋊C₄	—	2	4	no	—
754	C₂×C₄⋊C₄	—	2	4	no	—
755	C₂×C₄⋊C₄	—	4	8	no	—
756	C₂×C₄⋊C₄	—	4	8	no	—
757	C₂×C₄⋊C₄	—	4	4	no	—
758	C₂×C₄⋊C₄	—	4	2	no	—
759	C₂×C₄⋊C₄	—	4	2	no	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	—	2	16	no	—
798	C₂×C₂²⋊C₄	—	2	16	no	—
799	C₂×C₂²⋊C₄	—	2	16	no	—
800	C₂×C₂²⋊C₄	—	2	16	no	—
801	C₂×C₂²⋊C₄	—	2	16	no	—
802	C₂×C₂²⋊C₄	—	2	16	no	—
803	C₂×C₂²⋊C₄	—	2	8	no	—
804	C₂×C₂²⋊C₄	—	2	8	no	—
805	C₂×C₂²⋊C₄	—	2	8	no	—
806	C₂×C₂²⋊C₄	—	2	8	no	—
807	C₂×C₂²⋊C₄	—	4	8	no	—
808	C₂×C₂²⋊C₄	—	4	8	no	—
809	C₂×C₂²⋊C₄	—	4	8	no	—
810	C₂×C₂²⋊C₄	—	4	8	no	—
811	C₂×C₂²⋊C₄	—	4	8	no	—
812	C₂×C₂²⋊C₄	—	4	8	no	—
813	C₂×C₂²⋊C₄	—	4	8	no	—
814	C₂×C₂²⋊C₄	—	4	8	no	—
815	C₂×C₂²⋊C₄	—	4	8	no	—
816	C₂×C₂²⋊C₄	—	4	8	no	—
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	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
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	2	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₄²	C₂⁴	1	2	yes	—
879	C₂×C₄²	C₂⁴	1	2	yes	—
880	C₂×C₄²	C₂⁴	1	4	yes	—
881	C₂×C₄²	C₂⁴	1	2	yes	—
882	C₂×C₄²	C₂⁴	1	4	yes	—
883	C₂×C₄²	C₂⁴	1	4	yes	—
884	C₂×C₄²	C₂⁴	1	4	yes	—
885	C₂×C₄²	C₂⁴	1	2	yes	—
886	C₂×C₄²	C₂⁴	1	4	yes	—
887	C₂×C₄²	C₂⁴	1	4	yes	—
888	C₂×C₄²	C₂⁴	1	2	yes	—
889	C₂×C₄²	C₂⁴	1	4	yes	—
890	C₂×C₄²	C₂⁴	1	4	yes	—
891	#95	C₂⁴	1	2	yes	—
892	#95	C₂⁴	1	2	yes	—
893	#95	C₂⁴	1	2	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	4	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	4	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	2	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	2	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	2	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	C₂⁴	—	2	2	no	—
934	C₂⁴	—	2	4	no	—
935	C₂⁴	—	2	2	no	—
936	C₂⁴	—	2	4	no	—
937	C₂⁴	—	2	4	no	—
938	C₂⁴	—	2	4	no	—
939	C₂⁴	—	2	8	no	—
940	C₂⁴	—	2	8	no	—
941	C₂⁴	—	2	4	no	—
942	C₂⁴	—	2	8	no	—
943	C₂⁴	—	2	8	no	—
944	C₂⁴	—	2	8	no	—
945	C₂⁴	—	2	8	no	—
946	C₂⁴	—	2	8	no	—
947	C₂⁴	—	2	8	no	—
948	C₂⁴	—	2	4	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	4	2	no	—
951	C₂⁴	—	4	4	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	2	no	—
954	C₂⁴	—	4	4	no	—
955	C₂⁴	—	4	2	no	—
956	C₂⁴	—	4	4	no	—
957	C₂⁴	—	4	4	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	4	no	—
961	C₂⁴	—	4	4	no	—
962	C₂⁴	—	4	2	no	—
963	C₂⁴	—	4	2	no	—
964	C₂⁴	—	4	32	no	—
965	C₂⁴	—	4	32	no	—
966	C₂⁴	—	4	32	no	—
967	C₂⁴	—	8	16	no	—
968	C₂⁴	—	8	16	no	—
969	C₂⁴	—	8	16	no	—
970	C₂⁴	—	8	16	no	—
971	C₂⁴	C₂×#41	1	4	yes	—
972	C₂⁴	H(5,𝔽₂)	1	8	yes	—
973	C₂⁴	C₂⁵	1	4	yes	—
974	C₂⁴	C₂⁵	1	2	yes	—
975	C₂⁴	C₂⁵	1	4	yes	—
976	C₂⁴	C₂⁵	1	2	yes	—
977	C₂⁴	C₂⁵	1	1	yes	characteristic
978	#41	—	4	16	no	—
979	#41	—	8	16	no	—
980	C₂×Q₈	—	2	2	no	—
981	C₂×Q₈	—	2	4	no	—
982	C₂×Q₈	—	4	1	no	—
983	C₂×Q₈	—	4	1	no	—
984	C₂×Q₈	—	4	4	no	—
985	C₂×Q₈	—	4	4	no	—
986	C₂×Q₈	—	4	2	no	—
987	C₂×D₄	—	2	8	no	—
988	C₂×D₄	—	2	8	no	—
989	C₂×D₄	—	2	4	no	—
990	C₂×D₄	—	2	4	no	—
991	C₂×D₄	—	2	8	no	—
992	C₂×D₄	—	2	8	no	—
993	C₂×D₄	—	2	8	no	—
994	C₂×D₄	—	2	8	no	—
995	C₂×D₄	—	2	8	no	—
996	C₂×D₄	—	2	4	no	—
997	C₂×D₄	—	2	8	no	—
998	C₂×D₄	—	2	8	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	4	no	—
1001	C₂×D₄	—	2	8	no	—
1002	C₂×D₄	—	2	4	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂×D₄	—	4	4	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	4	no	—
1007	C₂×D₄	—	4	4	no	—
1008	C₂×D₄	—	4	2	no	—
1009	C₂×D₄	—	4	4	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	1	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	4	no	—
1019	C₂×D₄	—	4	4	no	—
1020	C₂×D₄	—	4	4	no	—
1021	C₂×D₄	—	4	4	no	—
1022	C₂×D₄	—	4	32	no	—
1023	C₂×D₄	—	4	64	no	—
1024	C₂×D₄	—	4	64	no	—
1025	C₂×D₄	—	4	32	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	8	no	—
1031	C₂²×C₄	—	2	8	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	8	no	—
1034	C₂²×C₄	—	2	8	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	2	8	no	—
1038	C₂²×C₄	—	2	8	no	—
1039	C₂²×C₄	—	2	8	no	—
1040	C₂²×C₄	—	2	8	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	4	no	—
1044	C₂²×C₄	—	2	8	no	—
1045	C₂²×C₄	—	2	4	no	—
1046	C₂²×C₄	—	4	2	no	—
1047	C₂²×C₄	—	4	2	no	—
1048	C₂²×C₄	—	4	2	no	—
1049	C₂²×C₄	—	4	16	no	—
1050	C₂²×C₄	—	4	2	no	—
1051	C₂²×C₄	—	4	2	no	—
1052	C₂²×C₄	—	4	2	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	4	2	no	—
1055	C₂²×C₄	—	4	2	no	—
1056	C₂²×C₄	—	4	2	no	—
1057	C₂²×C₄	—	4	4	no	—
1058	C₂²×C₄	—	4	2	no	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	4	2	no	—
1061	C₂²×C₄	—	4	2	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	4	no	—
1067	C₂²×C₄	—	4	4	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	4	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	4	no	—
1072	C₂²×C₄	—	4	4	no	—
1073	C₂²×C₄	—	4	4	no	—
1074	C₂²×C₄	—	4	4	no	—
1075	C₂²×C₄	—	4	4	no	—
1076	C₂²×C₄	—	4	4	no	—
1077	C₂²×C₄	—	4	2	no	—
1078	C₂²×C₄	—	4	4	no	—
1079	C₂²×C₄	—	4	16	no	—
1080	C₂²×C₄	—	8	16	no	—
1081	C₂²×C₄	—	8	8	no	—
1082	C₂²×C₄	C₂×#41	1	4	yes	—
1083	C₂²×C₄	C₂×#41	1	4	yes	—
1084	C₂²×C₄	C₂×#41	1	8	yes	—
1085	C₂²×C₄	C₂×#41	1	8	yes	—
1086	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1087	C₂²×C₄	C₂⁵	1	4	yes	—
1088	C₂²×C₄	C₂⁵	1	2	yes	—
1089	C₂²×C₄	C₂⁵	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	2	yes	—
1091	C₂²×C₄	C₂⁵	1	2	yes	—
1092	C₂²×C₄	C₂⁵	1	4	yes	—
1093	C₂²×C₄	C₂⁵	1	4	yes	—
1094	C₂²×C₄	C₂⁵	1	4	yes	—
1095	C₂²×C₄	C₂⁵	1	4	yes	—
1096	C₂²×C₄	C₂⁵	1	4	yes	—
1097	C₂²×C₄	C₂⁵	1	2	yes	—
1098	C₂²×C₄	C₂⁵	1	2	yes	—
1099	C₂²×C₄	C₂⁵	1	4	yes	—
1100	C₂²×C₄	C₂⁵	1	2	yes	—
1101	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁵	1	2	yes	—
1104	C₂²×C₄	C₂⁵	1	2	yes	—
1105	C₄⋊C₄	—	2	4	no	—
1106	C₄⋊C₄	—	2	8	no	—
1107	C₄⋊C₄	—	2	4	no	—
1108	C₄⋊C₄	—	2	4	no	—
1109	C₄⋊C₄	—	2	8	no	—
1110	C₄⋊C₄	—	2	4	no	—
1111	C₄⋊C₄	—	2	4	no	—
1112	C₄⋊C₄	—	2	8	no	—
1113	C₄⋊C₄	—	4	4	no	—
1114	C₄⋊C₄	—	4	2	no	—
1115	C₄⋊C₄	—	4	2	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	2	no	—
1118	C₄⋊C₄	—	4	2	no	—
1119	C₄⋊C₄	—	4	2	no	—
1120	C₄⋊C₄	—	4	2	no	—
1121	C₄⋊C₄	—	4	4	no	—
1122	C₄⋊C₄	—	4	4	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	4	no	—
1125	C₄⋊C₄	—	4	4	no	—
1126	C₄⋊C₄	—	4	4	no	—
1127	C₄⋊C₄	—	4	4	no	—
1128	C₄⋊C₄	—	4	2	no	—
1129	C₄⋊C₄	—	4	2	no	—
1130	C₄⋊C₄	—	4	4	no	—
1131	C₄⋊C₄	—	4	4	no	—
1132	C₄⋊C₄	—	4	4	no	—
1133	C₄⋊C₄	—	4	4	no	—
1134	C₄⋊C₄	—	4	4	no	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₄⋊C₄	—	4	4	no	—
1137	C₄⋊C₄	—	4	4	no	—
1138	C₄⋊C₄	—	4	2	no	—
1139	C₄⋊C₄	—	4	4	no	—
1140	C₄⋊C₄	—	4	4	no	—
1141	C₄⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	2	4	no	—
1143	C₂²⋊C₄	—	2	8	no	—
1144	C₂²⋊C₄	—	2	8	no	—
1145	C₂²⋊C₄	—	2	8	no	—
1146	C₂²⋊C₄	—	2	8	no	—
1147	C₂²⋊C₄	—	2	8	no	—
1148	C₂²⋊C₄	—	2	8	no	—
1149	C₂²⋊C₄	—	2	8	no	—
1150	C₂²⋊C₄	—	2	8	no	—
1151	C₂²⋊C₄	—	2	8	no	—
1152	C₂²⋊C₄	—	2	4	no	—
1153	C₂²⋊C₄	—	2	8	no	—
1154	C₂²⋊C₄	—	2	8	no	—
1155	C₂²⋊C₄	—	2	8	no	—
1156	C₂²⋊C₄	—	2	8	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	4	no	—
1159	C₂²⋊C₄	—	2	8	no	—
1160	C₂²⋊C₄	—	2	8	no	—
1161	C₂²⋊C₄	—	2	8	no	—
1162	C₂²⋊C₄	—	2	8	no	—
1163	C₂²⋊C₄	—	2	8	no	—
1164	C₂²⋊C₄	—	2	8	no	—
1165	C₂²⋊C₄	—	2	8	no	—
1166	C₂²⋊C₄	—	2	8	no	—
1167	C₂²⋊C₄	—	2	8	no	—
1168	C₂²⋊C₄	—	2	8	no	—
1169	C₂²⋊C₄	—	2	8	no	—
1170	C₂²⋊C₄	—	2	8	no	—
1171	C₂²⋊C₄	—	2	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	2	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	4	no	—
1189	C₂²⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	4	no	—
1195	C₂²⋊C₄	—	4	4	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	4	no	—
1199	C₂²⋊C₄	—	4	4	no	—
1200	C₂²⋊C₄	—	4	4	no	—
1201	C₂²⋊C₄	—	4	4	no	—
1202	C₂²⋊C₄	—	4	4	no	—
1203	C₄²	—	2	4	no	—
1204	C₄²	—	2	4	no	—
1205	C₄²	—	4	4	no	—
1206	C₄²	—	4	2	no	—
1207	C₄²	—	4	4	no	—
1208	C₄²	—	4	4	no	—
1209	C₄²	—	4	4	no	—
1210	C₄²	—	4	2	no	—
1211	C₄²	—	4	2	no	—
1212	C₄²	—	4	4	no	—
1213	C₄²	—	4	4	no	—
1214	C₄²	—	4	4	no	—
1215	C₄²	—	4	4	no	—
1216	C₂³	—	2	8	no	—
1217	C₂³	—	2	16	no	—
1218	C₂³	—	2	8	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	16	no	—
1226	C₂³	—	2	8	no	—
1227	C₂³	—	2	4	no	—
1228	C₂³	—	2	4	no	—
1229	C₂³	—	2	4	no	—
1230	C₂³	—	2	4	no	—
1231	C₂³	—	2	4	no	—
1232	C₂³	—	2	4	no	—
1233	C₂³	—	2	16	no	—
1234	C₂³	—	2	4	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	4	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	4	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	4	8	no	—
1247	C₂³	—	4	8	no	—
1248	C₂³	—	4	16	no	—
1249	C₂³	—	4	16	no	—
1250	C₂³	—	4	16	no	—
1251	C₂³	—	4	16	no	—
1252	C₂³	—	4	16	no	—
1253	C₂³	—	4	16	no	—
1254	C₂³	—	4	8	no	—
1255	C₂³	—	4	8	no	—
1256	C₂³	—	4	8	no	—
1257	C₂³	—	4	16	no	—
1258	C₂³	—	4	16	no	—
1259	C₂³	—	8	4	no	—
1260	C₂³	—	8	8	no	—
1261	C₂³	—	8	4	no	—
1262	C₂³	—	8	4	no	—
1263	C₂³	—	8	8	no	—
1264	C₂³	—	8	4	no	—
1265	C₂³	—	8	8	no	—
1266	C₂³	—	8	4	no	—
1267	C₂³	—	8	8	no	—
1268	C₂³	—	8	4	no	—
1269	C₂³	—	8	8	no	—
1270	C₂³	—	8	4	no	—
1271	C₂³	—	8	8	no	—
1272	C₂³	—	8	4	no	—
1273	C₂³	—	8	128	no	—
1274	C₂³	C₂²×#41	1	4	yes	—
1275	C₂³	C₂²×#41	1	2	yes	—
1276	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1277	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1278	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1279	C₂³	#585	1	4	yes	—
1280	C₂³	#585	1	2	yes	—
1281	C₂³	C₂⁶	1	1	yes	characteristic
1282	Q₈	—	4	4	no	—
1283	Q₈	—	8	4	no	—
1284	Q₈	—	16	2	no	—
1285	D₄	—	2	16	no	—
1286	D₄	—	4	16	no	—
1287	D₄	—	4	8	no	—
1288	D₄	—	4	4	no	—
1289	D₄	—	4	8	no	—
1290	D₄	—	4	16	no	—
1291	D₄	—	4	8	no	—
1292	D₄	—	4	16	no	—
1293	D₄	—	4	8	no	—
1294	D₄	—	8	8	no	—
1295	D₄	—	8	8	no	—
1296	D₄	—	16	4	no	—
1297	D₄	—	16	4	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	8	no	—
1306	C₂×C₄	—	2	8	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	4	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	4	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	4	no	—
1318	C₂×C₄	—	2	4	no	—
1319	C₂×C₄	—	2	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	4	no	—
1327	C₂×C₄	—	2	4	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	4	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	4	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	4	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	4	no	—
1339	C₂×C₄	—	2	4	no	—
1340	C₂×C₄	—	2	4	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	4	8	no	—
1345	C₂×C₄	—	4	8	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	4	16	no	—
1348	C₂×C₄	—	4	8	no	—
1349	C₂×C₄	—	4	4	no	—
1350	C₂×C₄	—	4	16	no	—
1351	C₂×C₄	—	8	4	no	—
1352	C₂×C₄	—	8	8	no	—
1353	C₂×C₄	—	8	4	no	—
1354	C₂×C₄	—	8	8	no	—
1355	C₂×C₄	—	8	4	no	—
1356	C₂×C₄	—	8	2	no	—
1357	C₂×C₄	—	8	8	no	—
1358	C₂×C₄	—	8	2	no	—
1359	C₂×C₄	—	8	8	no	—
1360	C₂×C₄	—	16	2	no	—
1361	C₂×C₄	—	16	4	no	—
1362	C₂×C₄	—	16	4	no	—
1363	C₂×C₄	C₂²×#41	1	2	yes	—
1364	C₂×C₄	C₂²×#41	1	4	yes	—
1365	C₂×C₄	C₂²×#41	1	2	yes	—
1366	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1367	C₂²	—	2	32	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	2	4	no	—
1378	C₂²	—	2	8	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	8	no	—
1381	C₂²	—	4	4	no	—
1382	C₂²	—	4	4	no	—
1383	C₂²	—	4	4	no	—
1384	C₂²	—	4	4	no	—
1385	C₂²	—	4	2	no	—
1386	C₂²	—	4	4	no	—
1387	C₂²	—	4	4	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	4	no	—
1390	C₂²	—	4	2	no	—
1391	C₂²	—	4	4	no	—
1392	C₂²	—	4	4	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	4	4	no	—
1395	C₂²	—	4	2	no	—
1396	C₂²	—	4	4	no	—
1397	C₂²	—	8	16	no	—
1398	C₂²	—	8	32	no	—
1399	C₂²	—	8	32	no	—
1400	C₂²	—	8	16	no	—
1401	C₂²	#3494	1	8	yes	—
1402	C₂²	#3505	1	4	yes	—
1403	C₂²	C₂³×#41	1	1	yes	characteristic
1404	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1405	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1406	C₂²	C₂×#585	1	1	yes	characteristic
1407	C₂²	C₂×#585	1	2	yes	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	4	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	4	2	no	—
1413	C₄	—	4	4	no	—
1414	C₄	—	4	4	no	—
1415	C₄	—	4	4	no	—
1416	C₄	—	4	2	no	—
1417	C₄	—	4	2	no	—
1418	C₄	—	4	2	no	—
1419	C₄	—	4	2	no	—
1420	C₄	—	4	4	no	—
1421	C₄	—	4	4	no	—
1422	C₄	—	4	4	no	—
1423	C₄	—	4	4	no	—
1424	C₄	—	4	2	no	—
1425	C₄	—	4	4	no	—
1426	C₂	—	2	8	no	—
1427	C₂	—	2	4	no	—
1428	C₂	—	4	8	no	—
1429	C₂	—	8	2	no	—
1430	C₂	—	8	4	no	—
1431	C₂	C₂×#3505	1	1	yes	characteristic
1432	C₂	C₂×#3494	1	2	yes	—
1433	C₂	#62817	1	1	yes	characteristic
1434	C₂	#62820	1	2	yes	—
1435	C₂	#62824	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. #44002	C₂	semidirect
2. #43960	C₂	semidirect
3. #43941	C₂	semidirect
4. #43938	C₂	semidirect
5. #43890	C₂	semidirect
6. #43054	C₂	semidirect
7. #43053	C₂	semidirect
8. #42011	C₂	semidirect
9. #42009	C₂	semidirect
10. #40562	C₂	semidirect
11. #40560	C₂	semidirect
12. #36206	C₂	semidirect
13. #36158	C₂	semidirect
14. #36152	C₂	semidirect
15. #35765	C₂	semidirect
16. #35764	C₂	semidirect
17. #35731	C₂	semidirect
18. #35729	C₂	semidirect
19. #35224	C₂	semidirect
20. #35050	C₂	semidirect
21. C₂²×#394	C₂	semidirect
22. #34200	C₂	semidirect
23. #34176	C₂	semidirect
25. C₂×#551	C₂²	semidirect
28. C₂×#544	C₂²	semidirect
30. C₂×#520	C₂²	semidirect
38. #2837	C₂²	semidirect
39. #2832	C₂²	semidirect
40. #2828	C₂²	semidirect
41. #2803	C₂²	semidirect
42. #2803	C₂²	semidirect
43. #2801	C₂²	semidirect
44. #2800	C₂²	semidirect
45. #2795	C₂²	semidirect
46. #2795	C₂²	semidirect
47. #2785	C₂²	semidirect
48. #2782	C₂²	semidirect
49. #2781	C₂²	semidirect
50. #2779	C₂²	semidirect
51. #2778	C₂²	semidirect
52. #2757	C₂²	semidirect
53. #2756	C₂²	semidirect
54. #2753	C₂²	semidirect
55. #2753	C₂²	semidirect
56. #2731	C₂²	semidirect
57. #2718	C₂²	semidirect
58. #2718	C₂²	semidirect
59. #2711	C₂²	semidirect
60. #2711	C₂²	semidirect
61. #2708	C₂²	semidirect
62. #2701	C₂²	semidirect
63. #2701	C₂²	semidirect
64. #2686	C₂²	semidirect
65. #2680	C₂²	semidirect
66. #2674	C₂²	semidirect
67. #2663	C₂²	semidirect
68. #2661	C₂²	semidirect
69. #2653	C₂²	semidirect
70. #2651	C₂²	semidirect
71. #2649	C₂²	semidirect
72. #2635	C₂²	semidirect
73. #2632	C₂²	semidirect
74. #2627	C₂²	semidirect
75. #2627	C₂²	semidirect
76. #2626	C₂²	semidirect
77. #2626	C₂²	semidirect
78. #2617	C₂²	semidirect
79. #2617	C₂²	semidirect
80. #2610	C₂²	semidirect
81. #2602	C₂²	semidirect
82. #2602	C₂²	semidirect
83. #2598	C₂²	semidirect
84. #2595	C₂²	semidirect
85. #2593	C₂²	semidirect
86. #2591	C₂²	semidirect
87. #2576	C₂²	semidirect
88. #2572	C₂²	semidirect
89. #2569	C₂²	semidirect
90. #2564	C₂²	semidirect
91. #2561	C₂²	semidirect
92. #2561	C₂²	semidirect
93. #2559	C₂²	semidirect
94. #2559	C₂²	semidirect
95. #2558	C₂²	semidirect
96. #2555	C₂²	semidirect
97. #2553	C₂²	semidirect
98. #2539	C₂²	semidirect
99. #2534	C₂²	semidirect
100. #2534	C₂²	semidirect
101. #2534	C₂²	semidirect
102. #2526	C₂²	semidirect
103. #2521	C₂²	semidirect
104. #2518	C₂²	semidirect
105. #2518	C₂²	semidirect
106. #2516	C₂²	semidirect
107. #2510	C₂²	semidirect
108. #2505	C₂²	semidirect
109. #2500	C₂²	semidirect
110. #2498	C₂²	semidirect
111. #2493	C₂²	semidirect
112. #2493	C₂²	semidirect
113. #2491	C₂²	semidirect
114. #2488	C₂²	semidirect
115. #2483	C₂²	semidirect
116. #2482	C₂²	semidirect
117. #2482	C₂²	semidirect
118. #2480	C₂²	semidirect
119. #2480	C₂²	semidirect
120. #2480	C₂²	semidirect
121. #2480	C₂²	semidirect
122. #2476	C₂²	semidirect
123. #2474	C₂²	semidirect
124. #2472	C₂²	semidirect
125. #2472	C₂²	semidirect
126. #2470	C₂²	semidirect
127. #2468	C₂²	semidirect
128. #2466	C₂²	semidirect
129. #2464	C₂²	semidirect
130. #2460	C₂²	semidirect
131. #2458	C₂²	semidirect
132. #2443	C₂²	semidirect
133. #2442	C₂²	semidirect
134. #2442	C₂²	semidirect
135. #2440	C₂²	semidirect
136. #2440	C₂²	semidirect
137. #2438	C₂²	semidirect
138. #2437	C₂²	semidirect
139. #2437	C₂²	semidirect
142. #2432	C₂²	semidirect
143. #2422	C₂²	semidirect
144. #2419	C₂²	semidirect
145. #2418	C₂²	semidirect
146. #2418	C₂²	semidirect
147. #2412	C₂²	semidirect
148. #2412	C₂²	semidirect
149. #2412	C₂²	semidirect
150. #2411	C₂²	semidirect
151. #2411	C₂²	semidirect
152. #2411	C₂²	semidirect
158. #2406	C₂²	semidirect
162. #2404	C₂²	semidirect
163. #2398	C₂²	semidirect
164. #2395	C₂²	semidirect
165. #2388	C₂²	semidirect
174. #2368	C₂²	semidirect
175. #2361	C₂²	semidirect
176. #2360	C₂²	semidirect
177. #2359	C₂²	semidirect
178. #2358	C₂²	semidirect
179. #2358	C₂²	semidirect
180. #2353	C₂²	semidirect
181. #2352	C₂²	semidirect
182. D₄×C₄⋊C₄	C₂²	semidirect
183. #2343	C₂²	semidirect
184. #2342	C₂²	semidirect
185. #2342	C₂²	semidirect
186. #2342	C₂²	semidirect
187. #2342	C₂²	semidirect
188. #2342	C₂²	semidirect
189. #2342	C₂²	semidirect
190. #2342	C₂²	semidirect
191. #2342	C₂²	semidirect
192. #2342	C₂²	semidirect
193. #2342	C₂²	semidirect
194. #2342	C₂²	semidirect
197. #2322	C₂²	semidirect
198. #2322	C₂²	semidirect
199. #2321	C₂²	semidirect
200. #2321	C₂²	semidirect
201. #2317	C₂²	semidirect
202. #2317	C₂²	semidirect
203. #2316	C₂²	semidirect
204. #2315	C₂²	semidirect
205. #2315	C₂²	semidirect
206. #2312	C₂²	semidirect
207. #2312	C₂²	semidirect
208. #2312	C₂²	semidirect
209. #2311	C₂²	semidirect
216. #2274	C₂²	semidirect
217. #2273	C₂²	semidirect
236. C₂×C₄⋊Q₈	C₂³	semidirect
237. C₂×#126	C₂³	semidirect
238. C₂×#126	C₂³	semidirect
239. C₂×#125	C₂³	semidirect
242. C₂×#124	C₂³	semidirect
250. C₂×#123	C₂³	semidirect
251. C₂×#123	C₂³	semidirect
257. C₂×C₂²⋊Q₈	C₂³	semidirect
272. C₂×C₄×Q₈	C₂³	semidirect
280. C₂×C₄×D₄	C₂³	semidirect
281. C₂×C₄×D₄	C₂³	semidirect
289. C₂×#117	C₂³	semidirect
290. C₂×#117	C₂³	semidirect
298. C₂²×C₄⋊C₄	C₂³	semidirect
321. #401	C₂³	semidirect
322. #400	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #400	C₂³	semidirect
326. #400	C₂³	semidirect
327. #400	C₂³	semidirect
328. #400	C₂³	semidirect
329. #400	C₂³	semidirect
330. #400	C₂³	semidirect
331. #400	C₂³	semidirect
332. #399	C₂³	semidirect
333. #399	C₂³	semidirect
334. #399	C₂³	semidirect
335. #399	C₂³	semidirect
336. #399	C₂³	semidirect
337. #398	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
340. #398	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
343. #397	C₂³	semidirect
344. #397	C₂³	semidirect
345. #397	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #396	C₂³	semidirect
358. #396	C₂³	semidirect
359. #396	C₂³	semidirect
360. #396	C₂³	semidirect
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
363. #396	C₂³	semidirect
364. #396	C₂³	semidirect
365. #395	C₂³	semidirect
366. #395	C₂³	semidirect
367. #395	C₂³	semidirect
368. #395	C₂³	semidirect
369. #395	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
405. #394	C₂³	semidirect
406. #394	C₂³	semidirect
407. #394	C₂³	semidirect
408. #394	C₂³	semidirect
409. #394	C₂³	semidirect
410. #393	C₂³	semidirect
411. #393	C₂³	semidirect
412. #393	C₂³	semidirect
413. #393	C₂³	semidirect
414. #393	C₂³	semidirect
419. #392	C₂³	semidirect
420. #392	C₂³	semidirect
421. #391	C₂³	semidirect
422. #391	C₂³	semidirect
426. #390	C₂³	semidirect
427. #390	C₂³	semidirect
428. #390	C₂³	semidirect
429. #390	C₂³	semidirect
430. #390	C₂³	semidirect
431. #390	C₂³	semidirect
432. #390	C₂³	semidirect
433. #389	C₂³	semidirect
434. #389	C₂³	semidirect
435. #389	C₂³	semidirect
436. #389	C₂³	semidirect
437. #389	C₂³	semidirect
438. #389	C₂³	semidirect
439. #389	C₂³	semidirect
440. #389	C₂³	semidirect
441. #388	C₂³	semidirect
442. #388	C₂³	semidirect
443. #388	C₂³	semidirect
444. #388	C₂³	semidirect
445. #388	C₂³	semidirect
446. #388	C₂³	semidirect
447. #388	C₂³	semidirect
448. #388	C₂³	semidirect
449. #388	C₂³	semidirect
450. #388	C₂³	semidirect
451. #388	C₂³	semidirect
452. #388	C₂³	semidirect
453. #388	C₂³	semidirect
454. #388	C₂³	semidirect
455. #388	C₂³	semidirect
456. #388	C₂³	semidirect
457. #388	C₂³	semidirect
458. #388	C₂³	semidirect
459. #388	C₂³	semidirect
460. #388	C₂³	semidirect
461. #388	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. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	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
511. #386	C₂³	semidirect
512. #386	C₂³	semidirect
513. #386	C₂³	semidirect
514. #386	C₂³	semidirect
515. #386	C₂³	semidirect
516. #386	C₂³	semidirect
517. #386	C₂³	semidirect
518. #386	C₂³	semidirect
533. #385	C₂³	semidirect
534. #385	C₂³	semidirect
535. #385	C₂³	semidirect
536. #385	C₂³	semidirect
537. #385	C₂³	semidirect
538. #385	C₂³	semidirect
539. #385	C₂³	semidirect
540. #385	C₂³	semidirect
541. #385	C₂³	semidirect
542. #385	C₂³	semidirect
543. #385	C₂³	semidirect
544. #385	C₂³	semidirect
545. #385	C₂³	semidirect
546. #385	C₂³	semidirect
547. #385	C₂³	semidirect
548. #384	C₂³	semidirect
549. #384	C₂³	semidirect
550. #383	C₂³	semidirect
551. #383	C₂³	semidirect
552. #382	C₂³	semidirect
553. #382	C₂³	semidirect
554. #382	C₂³	semidirect
561. #381	C₂³	semidirect
562. #381	C₂³	semidirect
563. #381	C₂³	semidirect
578. #380	C₂³	semidirect
579. #380	C₂³	semidirect
580. #380	C₂³	semidirect
595. C₄×C₄⋊C₄	C₂³	semidirect
596. C₄×C₄⋊C₄	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
609. C₄×C₂²⋊C₄	C₂³	semidirect
610. C₄×C₂²⋊C₄	C₂³	semidirect
611. C₄×C₂²⋊C₄	C₂³	semidirect
612. C₄×C₂²⋊C₄	C₂³	semidirect
613. C₄×C₂²⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. C₄×C₂²⋊C₄	C₂³	semidirect
618. C₄×C₂²⋊C₄	C₂³	semidirect
619. C₄×C₂²⋊C₄	C₂³	semidirect
620. #376	C₂³	semidirect
678. C₂³×C₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#44002	2
#43960	2
#43941	2
#43938	2
#43890	2
#43054	2
#43053	2
#42011	2
#42009	2
#40562	2
#40560	2
#36206	2
#36158	2
#36152	2
#35765	2
#35764	2
#35731	2
#35729	2
#35224	2
#35050	2
C₂²×#394	2
#34200	2
#34176	2