Subgroups — #7806731

Order 512.

5042 conjugacy classes of subgroups.

The subgroup lattice has 1463 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#47195	C₂	1	1	yes	maximal, characteristic, complemented
2	#46999	C₂	1	1	yes	maximal, characteristic, complemented
3	#46838	C₂	1	1	yes	maximal, characteristic, complemented
4	#46838	C₂	1	1	yes	maximal, characteristic, complemented
5	#46390	C₂	1	1	yes	maximal, characteristic, complemented
6	#46389	C₂	1	1	yes	maximal, characteristic, complemented
7	#46388	C₂	1	1	yes	maximal, characteristic, complemented
8	#46386	C₂	1	1	yes	maximal, characteristic, complemented
9	#45461	C₂	1	4	yes	maximal, complemented
10	#45459	C₂	1	4	yes	maximal, complemented
11	#43509	C₂	1	4	yes	maximal, complemented
12	#43149	C₂	1	4	yes	maximal, complemented
13	#43147	C₂	1	4	yes	maximal, complemented
14	#43052	C₂	1	4	yes	maximal, complemented
15	#41606	C₂	1	4	yes	maximal, complemented
16	#41606	C₂	1	4	yes	maximal, complemented
17	#40928	C₂	1	4	yes	maximal, complemented
18	#40913	C₂	1	4	yes	maximal, complemented
19	#40659	C₂	1	4	yes	maximal, complemented
20	#37436	C₂	1	1	yes	maximal, characteristic
21	C₂×#2842	C₂	1	1	yes	maximal, characteristic, complemented
22	#35780	C₂	1	4	yes	maximal, complemented
23	#34992	C₂	1	1	yes	maximal, characteristic, complemented
24	#34992	C₂	1	1	yes	maximal, characteristic, complemented
25	#34356	C₂	1	1	yes	maximal, characteristic, complemented
26	#34356	C₂	1	1	yes	maximal, characteristic, complemented
27	#34176	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²×#120	C₂²	1	1	yes	characteristic
29	C₂²×#120	C₂²	1	1	yes	characteristic
30	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	#2849	C₂²	1	2	yes	complemented
32	#2849	C₂²	1	2	yes	complemented
33	#2849	C₂²	1	2	yes	complemented
34	#2849	C₂²	1	2	yes	complemented
35	#2842	C₂²	1	1	yes	characteristic
36	#2842	C₂²	1	1	yes	characteristic
37	#2842	C₂²	1	1	yes	characteristic
38	#2842	C₂²	1	1	yes	characteristic
39	#2842	C₂²	1	4	yes	complemented
40	#2842	C₂²	1	4	yes	complemented
41	#2842	C₂²	1	4	yes	complemented
42	#2827	C₂²	1	4	yes	complemented
43	#2827	C₂²	1	4	yes	complemented
44	#2812	C₂²	1	4	yes	—
45	#2771	C₂²	1	4	yes	complemented
46	#2771	C₂²	1	4	yes	complemented
47	#2765	C₂²	1	4	yes	complemented
48	#2765	C₂²	1	4	yes	complemented
49	#2761	C₂²	1	4	yes	complemented
50	#2752	C₂²	1	4	yes	complemented
51	#2750	C₂²	1	4	yes	complemented
52	#2750	C₂²	1	4	yes	complemented
53	#2749	C₂²	1	4	yes	complemented
54	#2746	C₂²	1	4	yes	complemented
55	#2746	C₂²	1	4	yes	complemented
56	#2744	C₂²	1	4	yes	complemented
57	#2744	C₂²	1	4	yes	complemented
58	#2743	C₂²	1	4	yes	complemented
59	#2743	C₂²	1	4	yes	complemented
60	#2743	C₂²	1	4	yes	complemented
61	#2743	C₂²	1	4	yes	complemented
62	#2743	C₂²	1	4	yes	complemented
63	#2743	C₂²	1	4	yes	complemented
64	#2740	C₂²	1	4	yes	complemented
65	#2739	C₂²	1	4	yes	complemented
66	#2739	C₂²	1	4	yes	complemented
67	#2739	C₂²	1	4	yes	complemented
68	#2738	C₂²	1	4	yes	complemented
69	#2738	C₂²	1	4	yes	complemented
70	#2738	C₂²	1	4	yes	complemented
71	#2735	C₂²	1	4	yes	complemented
72	#2735	C₂²	1	4	yes	complemented
73	#2707	C₂²	1	4	yes	complemented
74	#2707	C₂²	1	4	yes	complemented
75	#2706	C₂²	1	4	yes	complemented
76	#2705	C₂²	1	4	yes	complemented
77	#2705	C₂²	1	4	yes	complemented
78	#2695	C₂²	1	4	yes	complemented
79	#2695	C₂²	1	4	yes	complemented
80	#2694	C₂²	1	4	yes	complemented
81	#2694	C₂²	1	4	yes	complemented
82	#2693	C₂²	1	4	yes	complemented
83	#2685	C₂²	1	4	yes	complemented
84	#2685	C₂²	1	4	yes	complemented
85	#2652	C₂²	1	4	yes	complemented
86	#2652	C₂²	1	4	yes	complemented
87	#2652	C₂²	1	4	yes	complemented
88	#2648	C₂²	1	4	yes	complemented
89	#2636	C₂²	1	4	yes	complemented
90	#2630	C₂²	1	4	yes	complemented
91	#2622	C₂²	1	2	yes	—
92	#2622	C₂²	1	2	yes	—
93	#2622	C₂²	1	4	yes	—
94	#2622	C₂²	1	4	yes	—
95	#2617	C₂²	1	4	yes	—
96	#2613	C₂²	1	2	yes	—
97	#2613	C₂²	1	2	yes	—
98	#2611	C₂²	1	4	yes	complemented
99	#2611	C₂²	1	4	yes	complemented
100	#2609	C₂²	1	4	yes	complemented
101	#2601	C₂²	1	4	yes	complemented
102	#2601	C₂²	1	4	yes	complemented
103	#2598	C₂²	1	4	yes	complemented
104	#2591	C₂²	1	4	yes	complemented
105	#2579	C₂²	1	4	yes	complemented
106	#2576	C₂²	1	4	yes	complemented
107	#2575	C₂²	1	4	yes	complemented
108	#2575	C₂²	1	4	yes	complemented
109	#2575	C₂²	1	4	yes	complemented
110	#2573	C₂²	1	4	yes	complemented
111	#2573	C₂²	1	4	yes	complemented
112	#2573	C₂²	1	4	yes	complemented
113	#2569	C₂²	1	4	yes	complemented
114	#2558	C₂²	1	4	yes	complemented
115	#2558	C₂²	1	4	yes	complemented
116	#2554	C₂²	1	4	yes	complemented
117	#2553	C₂²	1	4	yes	complemented
118	#2553	C₂²	1	4	yes	complemented
119	#2534	C₂²	1	4	yes	complemented
120	#2526	C₂²	1	4	yes	complemented
121	#2526	C₂²	1	4	yes	complemented
122	#2526	C₂²	1	4	yes	complemented
123	#2518	C₂²	1	4	yes	complemented
124	#2518	C₂²	1	4	yes	complemented
125	#2516	C₂²	1	4	yes	complemented
126	#2516	C₂²	1	4	yes	complemented
127	#2515	C₂²	1	4	yes	complemented
128	#2515	C₂²	1	4	yes	complemented
129	#2510	C₂²	1	4	yes	complemented
130	#2487	C₂²	1	4	yes	complemented
131	#2483	C₂²	1	1	yes	characteristic
132	#2483	C₂²	1	1	yes	characteristic
133	#2483	C₂²	1	1	yes	characteristic
134	#2483	C₂²	1	1	yes	characteristic
135	#2483	C₂²	1	1	yes	characteristic
136	#2483	C₂²	1	2	yes	complemented
137	#2483	C₂²	1	2	yes	complemented
138	#2482	C₂²	1	4	yes	complemented
139	#2481	C₂²	1	4	yes	complemented
140	#2481	C₂²	1	4	yes	complemented
141	#2481	C₂²	1	4	yes	complemented
142	#2480	C₂²	1	4	yes	complemented
143	#2479	C₂²	1	4	yes	complemented
144	#2479	C₂²	1	4	yes	complemented
145	#2479	C₂²	1	4	yes	complemented
146	#2475	C₂²	1	4	yes	complemented
147	#2475	C₂²	1	4	yes	complemented
148	#2471	C₂²	1	4	yes	complemented
149	#2471	C₂²	1	4	yes	complemented
150	#2470	C₂²	1	4	yes	complemented
151	#2470	C₂²	1	4	yes	complemented
152	#2466	C₂²	1	4	yes	complemented
153	#2466	C₂²	1	4	yes	complemented
154	#2460	C₂²	1	4	yes	complemented
155	#2460	C₂²	1	4	yes	complemented
156	#2457	C₂²	1	4	yes	complemented
157	#2457	C₂²	1	4	yes	complemented
158	#2444	C₂²	1	4	yes	complemented
159	#2443	C₂²	1	4	yes	complemented
160	#2442	C₂²	1	4	yes	complemented
161	#2442	C₂²	1	4	yes	complemented
162	#2418	C₂²	1	4	yes	complemented
163	#2412	C₂²	1	2	yes	—
164	#2412	C₂²	1	4	yes	—
165	#2412	C₂²	1	2	yes	—
166	#2412	C₂²	1	4	yes	—
167	#2412	C₂²	1	2	yes	complemented
168	#2412	C₂²	1	2	yes	complemented
169	#2412	C₂²	1	2	yes	complemented
170	#2412	C₂²	1	2	yes	complemented
171	#2410	C₂²	1	2	yes	—
172	#2410	C₂²	1	2	yes	—
173	#2405	C₂²	1	1	yes	characteristic
174	#2405	C₂²	1	1	yes	characteristic
175	#2405	C₂²	1	1	yes	characteristic
176	#2405	C₂²	1	1	yes	characteristic
177	#2405	C₂²	1	1	yes	characteristic
178	#2405	C₂²	1	1	yes	characteristic
179	#2405	C₂²	1	2	yes	complemented
180	#2405	C₂²	1	2	yes	complemented
181	#2403	C₂²	1	1	yes	characteristic
182	#2401	C₂²	1	4	yes	complemented
183	C₂×#399	C₂²	1	4	yes	complemented
184	#2392	C₂²	1	4	yes	complemented
185	C₂×#396	C₂²	1	4	yes	complemented
186	C₂×#396	C₂²	1	4	yes	complemented
187	#2375	C₂²	1	4	yes	complemented
188	#2375	C₂²	1	4	yes	complemented
189	#2361	C₂²	1	4	yes	complemented
190	#2358	C₂²	1	4	yes	complemented
191	#2358	C₂²	1	4	yes	complemented
192	#2353	C₂²	1	4	yes	complemented
193	#2352	C₂²	1	4	yes	complemented
194	#2345	C₂²	1	4	yes	complemented
195	#2342	C₂²	1	2	yes	complemented
196	#2342	C₂²	1	4	yes	complemented
197	#2342	C₂²	1	2	yes	complemented
198	#2342	C₂²	1	2	yes	complemented
199	#2342	C₂²	1	2	yes	complemented
200	#2342	C₂²	1	4	yes	complemented
201	#2342	C₂²	1	4	yes	complemented
202	#2342	C₂²	1	4	yes	complemented
203	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
204	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
205	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
206	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
207	#2321	C₂²	1	4	yes	—
208	#2321	C₂²	1	4	yes	—
209	#2321	C₂²	1	4	yes	—
210	#2321	C₂²	1	4	yes	—
211	#2315	C₂²	1	2	yes	complemented
212	#2315	C₂²	1	2	yes	complemented
213	#2315	C₂²	1	2	yes	complemented
214	#2312	C₂²	1	1	yes	characteristic
215	#2312	C₂²	1	1	yes	characteristic
216	#2312	C₂²	1	1	yes	characteristic
217	#2312	C₂²	1	1	yes	characteristic
218	#2312	C₂²	1	1	yes	characteristic
219	#2312	C₂²	1	1	yes	characteristic
220	#2312	C₂²	1	1	yes	characteristic
221	#2312	C₂²	1	1	yes	characteristic
222	#2309	C₂²	1	1	yes	characteristic
223	#2309	C₂²	1	1	yes	characteristic
224	#2308	C₂²	1	1	yes	characteristic
225	#2308	C₂²	1	1	yes	characteristic
226	#2308	C₂²	1	2	yes	complemented
227	#2308	C₂²	1	2	yes	complemented
228	#2280	C₂²	1	2	yes	complemented
229	#2280	C₂²	1	2	yes	complemented
230	C₂×#379	C₂²	1	1	yes	characteristic
231	C₂×#379	C₂²	1	1	yes	characteristic
232	C₂×#379	C₂²	1	1	yes	characteristic
233	C₂×#379	C₂²	1	1	yes	characteristic
234	#2273	C₂²	1	2	yes	complemented
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×D₄	C₂³	1	1	yes	characteristic
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	1	yes	characteristic
239	C₂³×D₄	C₂³	1	1	yes	characteristic
240	C₂³×D₄	C₂³	1	1	yes	characteristic
241	C₂³×D₄	C₂³	1	1	yes	characteristic
242	C₂⁴×C₄	C₂³	1	1	yes	characteristic
243	C₂⁴×C₄	C₂³	1	1	yes	characteristic
244	C₂×#126	C₂³	1	4	yes	complemented
245	C₂×#126	C₂³	1	4	yes	complemented
246	C₂×#126	C₂³	1	4	yes	complemented
247	C₂×#125	C₂³	1	4	yes	complemented
248	C₂×#125	C₂³	1	4	yes	complemented
249	C₂×#123	C₂³	1	2	yes	—
250	C₂×#123	C₂³	1	2	yes	—
251	C₂×#123	C₂³	1	2	yes	—
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	4	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	2	yes	—
257	C₂×#123	C₂³	1	4	yes	complemented
258	C₂×#121	C₂³	1	4	yes	—
259	C₂×#120	—	2	8	no	—
260	C₂×#120	—	2	8	no	—
261	C₂×#120	C₂³	1	2	yes	—
262	C₂×#120	C₂³	1	2	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	2	yes	—
265	C₂×#120	C₂³	1	2	yes	—
266	C₂×#120	C₂³	1	2	yes	—
267	C₂×#120	C₂³	1	2	yes	—
268	C₂×#120	C₂³	1	2	yes	—
269	C₂×#120	C₂³	1	2	yes	—
270	C₂×#120	C₂³	1	2	yes	—
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	4	yes	—
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	4	yes	complemented
276	C₂×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	2	yes	—
278	C₂×#117	C₂³	1	4	yes	—
279	C₂×#117	C₂³	1	4	yes	—
280	C₂×#117	C₂³	1	4	yes	complemented
281	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
282	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
283	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
284	C₂²×C₂²⋊C₄	—	2	8	no	—
285	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
296	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	2	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	2	yes	—
306	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
313	#401	C₂³	1	4	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#400	C₂³	1	4	yes	complemented
322	#400	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#400	C₂³	1	4	yes	complemented
326	#400	C₂³	1	4	yes	complemented
327	#400	C₂³	1	4	yes	complemented
328	#400	C₂³	1	4	yes	complemented
329	#400	C₂³	1	4	yes	complemented
330	#400	C₂³	1	4	yes	complemented
331	#400	C₂³	1	4	yes	complemented
332	#399	C₂³	1	4	yes	—
333	#399	C₂³	1	4	yes	—
334	#399	C₂³	1	4	yes	—
335	#399	C₂³	1	4	yes	—
336	#399	C₂³	1	4	yes	—
337	#399	C₂³	1	4	yes	—
338	#399	C₂³	1	4	yes	—
339	#399	C₂³	1	4	yes	—
340	#399	C₂³	1	4	yes	complemented
341	#399	C₂³	1	4	yes	complemented
342	#399	C₂³	1	4	yes	complemented
343	#398	C₂³	1	4	yes	complemented
344	#398	C₂³	1	4	yes	complemented
345	#398	C₂³	1	4	yes	complemented
346	#398	C₂³	1	4	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#398	C₂³	1	4	yes	complemented
349	#398	C₂³	1	4	yes	complemented
350	#398	C₂³	1	4	yes	complemented
351	#398	C₂³	1	4	yes	complemented
352	#397	C₂³	1	4	yes	—
353	#397	C₂³	1	4	yes	—
354	#397	C₂³	1	4	yes	—
355	#397	C₂³	1	4	yes	—
356	#397	C₂³	1	4	yes	—
357	#397	C₂³	1	4	yes	—
358	#397	C₂³	1	4	yes	—
359	#397	C₂³	1	4	yes	—
360	#397	C₂³	1	4	yes	—
361	#397	C₂³	1	4	yes	—
362	#397	C₂³	1	4	yes	—
363	#397	C₂³	1	4	yes	—
364	#397	C₂³	1	4	yes	complemented
365	#397	C₂³	1	4	yes	complemented
366	#397	C₂³	1	4	yes	complemented
367	#397	C₂³	1	4	yes	complemented
368	#397	C₂³	1	4	yes	complemented
369	#397	C₂³	1	4	yes	complemented
370	#397	C₂³	1	4	yes	complemented
371	#397	C₂³	1	4	yes	complemented
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	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	—
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	complemented
389	#396	C₂³	1	4	yes	complemented
390	#396	C₂³	1	4	yes	complemented
391	#396	C₂³	1	4	yes	complemented
392	#396	C₂³	1	4	yes	complemented
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	complemented
410	#394	C₂³	1	4	yes	complemented
411	#394	C₂³	1	4	yes	complemented
412	#394	C₂³	1	4	yes	complemented
413	#392	C₂³	1	4	yes	—
414	#392	C₂³	1	4	yes	—
415	#392	C₂³	1	4	yes	—
416	#392	C₂³	1	4	yes	—
417	#390	C₂³	1	4	yes	—
418	#390	C₂³	1	4	yes	—
419	#390	C₂³	1	4	yes	—
420	#390	C₂³	1	4	yes	—
421	#390	C₂³	1	4	yes	—
422	#390	C₂³	1	4	yes	—
423	#390	C₂³	1	4	yes	—
424	#390	C₂³	1	4	yes	—
425	#390	C₂³	1	4	yes	complemented
426	#389	C₂³	1	4	yes	complemented
427	#389	C₂³	1	4	yes	complemented
428	#389	C₂³	1	4	yes	complemented
429	#389	C₂³	1	4	yes	complemented
430	#389	C₂³	1	4	yes	complemented
431	#389	C₂³	1	4	yes	complemented
432	#389	C₂³	1	4	yes	complemented
433	#389	C₂³	1	4	yes	complemented
434	#389	C₂³	1	4	yes	complemented
435	#388	C₂³	1	4	yes	—
436	#388	C₂³	1	4	yes	—
437	#388	C₂³	1	4	yes	—
438	#388	C₂³	1	4	yes	—
439	#388	C₂³	1	4	yes	—
440	#388	C₂³	1	4	yes	—
441	#388	C₂³	1	4	yes	—
442	#388	C₂³	1	4	yes	—
443	#388	C₂³	1	4	yes	—
444	#388	C₂³	1	4	yes	—
445	#388	C₂³	1	4	yes	—
446	#388	C₂³	1	4	yes	—
447	#388	C₂³	1	4	yes	—
448	#388	C₂³	1	4	yes	—
449	#388	C₂³	1	4	yes	—
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	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	#387	C₂³	1	4	yes	complemented
477	#387	C₂³	1	4	yes	complemented
478	#387	C₂³	1	4	yes	complemented
479	#387	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	#387	C₂³	1	4	yes	complemented
499	#386	C₂³	1	4	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	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	2	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	2	yes	—
524	#386	C₂³	1	2	yes	—
525	#386	C₂³	1	2	yes	—
526	#386	C₂³	1	2	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	2	yes	—
529	#386	C₂³	1	2	yes	—
530	#386	C₂³	1	2	yes	—
531	#386	C₂³	1	4	yes	complemented
532	#385	C₂³	1	4	yes	—
533	#385	C₂³	1	4	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	2	yes	—
543	#385	C₂³	1	2	yes	—
544	#385	C₂³	1	2	yes	—
545	#385	C₂³	1	2	yes	—
546	#385	C₂³	1	2	yes	—
547	#385	C₂³	1	2	yes	—
548	#385	C₂³	1	2	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	2	yes	—
552	#385	C₂³	1	2	yes	—
553	#385	C₂³	1	2	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	2	yes	—
558	#385	C₂³	1	2	yes	—
559	#385	C₂³	1	2	yes	—
560	#385	C₂³	1	2	yes	—
561	#385	C₂³	1	2	yes	—
562	#385	C₂³	1	4	yes	complemented
563	#385	C₂³	1	4	yes	complemented
564	#385	C₂³	1	4	yes	complemented
565	#385	C₂³	1	4	yes	complemented
566	#385	C₂³	1	4	yes	complemented
567	#383	C₂³	1	4	yes	complemented
568	#383	C₂³	1	4	yes	complemented
569	#382	C₂³	1	4	yes	complemented
570	#382	C₂³	1	4	yes	complemented
571	#382	C₂³	1	4	yes	complemented
572	#381	C₂³	1	2	yes	—
573	#381	C₂³	1	2	yes	—
574	#381	C₂³	1	2	yes	—
575	#381	C₂³	1	2	yes	—
576	#381	C₂³	1	2	yes	—
577	#381	C₂³	1	2	yes	—
578	#381	C₂³	1	2	yes	—
579	#381	C₂³	1	4	yes	—
580	#381	C₂³	1	2	yes	—
581	#381	C₂³	1	4	yes	—
582	#381	C₂³	1	2	yes	—
583	#381	C₂³	1	2	yes	—
584	#381	C₂³	1	2	yes	—
585	#381	C₂³	1	4	yes	—
586	#381	C₂³	1	4	yes	—
587	#381	C₂³	1	2	yes	—
588	#381	C₂³	1	4	yes	complemented
589	#381	C₂³	1	4	yes	complemented
590	#380	C₂³	1	2	yes	—
591	#380	C₂³	1	2	yes	—
592	#380	C₂³	1	2	yes	—
593	#380	C₂³	1	2	yes	—
594	#380	C₂³	1	2	yes	—
595	#380	C₂³	1	2	yes	—
596	#380	C₂³	1	2	yes	—
597	#380	C₂³	1	2	yes	—
598	#380	C₂³	1	4	yes	—
599	#380	C₂³	1	4	yes	—
600	#380	C₂³	1	4	yes	—
601	#380	C₂³	1	4	yes	—
602	#380	C₂³	1	4	yes	—
603	#380	C₂³	1	4	yes	—
604	#380	C₂³	1	4	yes	—
605	#380	C₂³	1	4	yes	complemented
606	#380	C₂³	1	4	yes	complemented
607	#380	C₂³	1	4	yes	complemented
608	#379	C₂³	1	1	yes	characteristic
609	#379	C₂³	1	1	yes	characteristic
610	#379	C₂³	1	1	yes	characteristic
611	#379	C₂³	1	2	yes	—
612	#379	C₂³	1	2	yes	—
613	#379	C₂³	1	2	yes	—
614	#379	C₂³	1	2	yes	—
615	#379	C₂³	1	1	yes	characteristic
616	#379	C₂³	1	1	yes	characteristic
617	#379	C₂³	1	1	yes	characteristic
618	#379	C₂³	1	2	yes	—
619	#379	C₂³	1	2	yes	—
620	#379	C₂³	1	1	yes	characteristic
621	#379	C₂³	1	1	yes	characteristic
622	#379	C₂³	1	2	yes	—
623	#379	C₂³	1	2	yes	—
624	#379	C₂³	1	2	yes	—
625	#379	C₂³	1	2	yes	—
626	#379	C₂³	1	2	yes	—
627	#379	C₂³	1	2	yes	—
628	#379	C₂³	1	2	yes	—
629	#379	C₂³	1	2	yes	—
630	#379	C₂³	1	2	yes	—
631	#379	C₂³	1	2	yes	—
632	#379	C₂³	1	2	yes	—
633	#379	C₂³	1	2	yes	—
634	#379	C₂³	1	2	yes	—
635	#379	C₂³	1	2	yes	—
636	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
637	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
638	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
639	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
640	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
641	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
642	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
643	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
644	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
645	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
646	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
647	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
648	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
649	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
650	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
651	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
652	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
653	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
654	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
655	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
656	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
658	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
659	#376	C₂³	1	4	yes	complemented
660	C₂×#95	C₂³	1	4	yes	—
661	C₂⁵	—	4	4	no	—
662	C₂⁵	—	8	2	no	—
663	C₂⁵	—	8	2	no	—
664	C₂⁵	#41	1	8	yes	—
665	C₂⁵	C₂⁴	1	1	yes	characteristic
666	C₂⁵	C₂⁴	1	1	yes	characteristic
667	C₂⁵	C₂⁴	1	1	yes	characteristic
668	C₂⁵	C₂⁴	1	1	yes	characteristic
669	C₂⁵	C₂⁴	1	1	yes	characteristic
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂²×D₄	—	2	4	no	—
675	C₂²×D₄	—	2	4	no	—
676	C₂²×D₄	—	2	4	no	—
677	C₂²×D₄	—	2	4	no	—
678	C₂²×D₄	—	2	4	no	—
679	C₂²×D₄	—	2	4	no	—
680	C₂²×D₄	—	4	4	no	—
681	C₂²×D₄	—	4	4	no	—
682	C₂²×D₄	—	8	2	no	—
683	C₂²×D₄	—	8	2	no	—
684	C₂²×D₄	—	8	2	no	—
685	C₂²×D₄	—	8	2	no	—
686	C₂²×D₄	C₂⁴	1	2	yes	—
687	C₂²×D₄	C₂⁴	1	2	yes	—
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	2	yes	—
690	C₂²×D₄	C₂⁴	1	2	yes	—
691	C₂²×D₄	C₂⁴	1	2	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	2	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	2	yes	—
696	C₂²×D₄	C₂⁴	1	2	yes	—
697	C₂²×D₄	C₂⁴	1	2	yes	—
698	C₂²×D₄	C₂⁴	1	4	yes	—
699	C₂³×C₄	—	2	4	no	—
700	C₂³×C₄	—	2	4	no	—
701	C₂³×C₄	—	8	2	no	—
702	C₂³×C₄	—	8	2	no	—
703	C₂³×C₄	C₂⁴	1	4	yes	—
704	C₂³×C₄	C₂⁴	1	4	yes	—
705	C₂³×C₄	C₂⁴	1	4	yes	—
706	C₂³×C₄	C₂⁴	1	2	yes	—
707	C₂³×C₄	C₂⁴	1	2	yes	—
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	C₂⁴	1	1	yes	characteristic
711	C₂³×C₄	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄	C₂⁴	1	2	yes	—
713	C₂³×C₄	C₂⁴	1	2	yes	—
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	1	yes	characteristic
717	C₂³×C₄	C₂⁴	1	1	yes	characteristic
718	C₂³×C₄	C₂⁴	1	1	yes	characteristic
719	C₂³×C₄	C₂⁴	1	1	yes	characteristic
720	C₂³×C₄	C₂⁴	1	4	yes	—
721	C₂³×C₄	C₂⁴	1	4	yes	—
722	C₂³×C₄	C₂⁴	1	4	yes	—
723	#126	—	8	4	no	—
724	#126	—	8	4	no	—
725	#126	—	8	4	no	—
726	#125	—	8	4	no	—
727	#125	—	8	4	no	—
728	#123	—	8	2	no	—
729	#123	—	8	2	no	—
730	#123	—	8	2	no	—
731	#123	—	8	4	no	—
732	#123	—	8	2	no	—
733	#123	—	8	4	no	—
734	#123	—	8	2	no	—
735	#123	—	8	2	no	—
736	#123	—	8	4	no	—
737	#121	—	4	8	no	—
738	#120	—	2	8	no	—
739	#120	—	2	8	no	—
740	#120	—	2	8	no	—
741	#120	—	2	8	no	—
742	#120	—	2	8	no	—
743	#120	—	2	8	no	—
744	#120	—	2	8	no	—
745	#120	—	2	8	no	—
746	#120	—	8	2	no	—
747	#120	—	8	2	no	—
748	C₄×D₄	—	4	8	no	—
749	C₄×D₄	—	4	8	no	—
750	C₄×D₄	—	8	4	no	—
751	C₄×D₄	—	8	4	no	—
752	C₄×D₄	—	8	4	no	—
753	#117	—	8	4	no	—
754	#117	—	8	4	no	—
755	#117	—	8	2	no	—
756	#117	—	8	2	no	—
757	#117	—	8	4	no	—
758	C₂×C₄⋊C₄	—	4	8	no	—
759	C₂×C₄⋊C₄	—	8	4	no	—
760	C₂×C₄⋊C₄	—	8	4	no	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	—	2	8	no	—
795	C₂×C₂²⋊C₄	—	2	8	no	—
796	C₂×C₂²⋊C₄	—	2	8	no	—
797	C₂×C₂²⋊C₄	—	2	8	no	—
798	C₂×C₂²⋊C₄	—	2	4	no	—
799	C₂×C₂²⋊C₄	—	2	4	no	—
800	C₂×C₂²⋊C₄	—	2	4	no	—
801	C₂×C₂²⋊C₄	—	2	4	no	—
802	C₂×C₂²⋊C₄	—	2	4	no	—
803	C₂×C₂²⋊C₄	—	2	4	no	—
804	C₂×C₂²⋊C₄	—	2	4	no	—
805	C₂×C₂²⋊C₄	—	2	4	no	—
806	C₂×C₂²⋊C₄	—	2	4	no	—
807	C₂×C₂²⋊C₄	—	2	4	no	—
808	C₂×C₂²⋊C₄	—	4	4	no	—
809	C₂×C₂²⋊C₄	—	4	4	no	—
810	C₂×C₂²⋊C₄	—	4	4	no	—
811	C₂×C₂²⋊C₄	—	4	4	no	—
812	C₂×C₂²⋊C₄	—	8	2	no	—
813	C₂×C₂²⋊C₄	—	8	2	no	—
814	C₂×C₂²⋊C₄	—	8	2	no	—
815	C₂×C₂²⋊C₄	—	8	2	no	—
816	C₂×C₂²⋊C₄	—	8	2	no	—
817	C₂×C₂²⋊C₄	—	8	2	no	—
818	C₂×C₂²⋊C₄	—	8	2	no	—
819	C₂×C₂²⋊C₄	—	8	2	no	—
820	C₂×C₂²⋊C₄	—	8	2	no	—
821	C₂×C₂²⋊C₄	—	8	2	no	—
822	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₄²	C₂⁴	1	4	yes	—
899	C₂×C₄²	C₂⁴	1	4	yes	—
900	C₂×C₄²	C₂⁴	1	4	yes	—
901	C₂×C₄²	C₂⁴	1	4	yes	—
902	C₂×C₄²	C₂⁴	1	4	yes	—
903	C₂×C₄²	C₂⁴	1	4	yes	—
904	C₂×C₄²	C₂⁴	1	4	yes	—
905	C₂×C₄²	C₂⁴	1	4	yes	—
906	C₂×C₄²	C₂⁴	1	4	yes	—
907	C₂×C₄²	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	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	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	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	C₂⁴	—	2	4	no	—
955	C₂⁴	—	2	4	no	—
956	C₂⁴	—	2	4	no	—
957	C₂⁴	—	2	2	no	—
958	C₂⁴	—	2	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	2	no	—
961	C₂⁴	—	4	2	no	—
962	C₂⁴	—	4	2	no	—
963	C₂⁴	—	4	2	no	—
964	C₂⁴	—	4	2	no	—
965	C₂⁴	—	4	2	no	—
966	C₂⁴	—	4	2	no	—
967	C₂⁴	—	4	2	no	—
968	C₂⁴	—	4	2	no	—
969	C₂⁴	—	4	2	no	—
970	C₂⁴	—	4	2	no	—
971	C₂⁴	—	4	2	no	—
972	C₂⁴	—	4	2	no	—
973	C₂⁴	—	4	2	no	—
974	C₂⁴	—	4	16	no	—
975	C₂⁴	—	4	2	no	—
976	C₂⁴	—	4	2	no	—
977	C₂⁴	—	4	2	no	—
978	C₂⁴	—	4	2	no	—
979	C₂⁴	—	4	2	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	2	no	—
982	C₂⁴	—	4	2	no	—
983	C₂⁴	—	4	2	no	—
984	C₂⁴	—	8	8	no	—
985	C₂⁴	—	8	8	no	—
986	C₂⁴	—	8	32	no	—
987	C₂⁴	C₂×#41	1	4	yes	—
988	C₂⁴	C₂×#41	1	4	yes	—
989	C₂⁴	C₂×#41	1	4	yes	—
990	C₂⁴	C₂×#41	1	4	yes	—
991	C₂⁴	C₂×#41	1	4	yes	—
992	C₂⁴	C₂×#41	1	4	yes	—
993	C₂⁴	C₂×#41	1	4	yes	—
994	C₂⁴	C₂⁵	1	2	yes	—
995	C₂⁴	C₂⁵	1	2	yes	—
996	C₂⁴	C₂⁵	1	1	yes	characteristic
997	C₂⁴	C₂⁵	1	1	yes	characteristic
998	C₂⁴	C₂⁵	1	1	yes	characteristic
999	C₂⁴	C₂⁵	1	1	yes	characteristic
1000	C₂⁴	C₂⁵	1	1	yes	characteristic
1001	C₂⁴	C₂⁵	1	1	yes	characteristic
1002	C₂⁴	C₂⁵	1	1	yes	characteristic
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	2	8	no	—
1008	C₂×D₄	—	2	8	no	—
1009	C₂×D₄	—	2	4	no	—
1010	C₂×D₄	—	2	4	no	—
1011	C₂×D₄	—	2	4	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	2	4	no	—
1014	C₂×D₄	—	2	4	no	—
1015	C₂×D₄	—	2	4	no	—
1016	C₂×D₄	—	2	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	2	no	—
1022	C₂×D₄	—	4	2	no	—
1023	C₂×D₄	—	4	4	no	—
1024	C₂×D₄	—	4	2	no	—
1025	C₂×D₄	—	4	2	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	—	4	4	no	—
1028	C₂×D₄	—	4	4	no	—
1029	C₂×D₄	—	4	2	no	—
1030	C₂×D₄	—	4	2	no	—
1031	C₂×D₄	—	4	2	no	—
1032	C₂×D₄	—	4	4	no	—
1033	C₂×D₄	—	4	4	no	—
1034	C₂×D₄	—	8	8	no	—
1035	C₂×D₄	—	8	8	no	—
1036	C₂×D₄	—	8	8	no	—
1037	C₂×D₄	—	8	8	no	—
1038	C₂×D₄	—	8	8	no	—
1039	C₂×D₄	—	8	8	no	—
1040	C₂²×C₄	—	2	4	no	—
1041	C₂²×C₄	—	2	4	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	4	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	—	2	8	no	—
1055	C₂²×C₄	—	2	8	no	—
1056	C₂²×C₄	—	2	8	no	—
1057	C₂²×C₄	—	4	4	no	—
1058	C₂²×C₄	—	4	4	no	—
1059	C₂²×C₄	—	4	2	no	—
1060	C₂²×C₄	—	4	2	no	—
1061	C₂²×C₄	—	4	4	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	4	no	—
1069	C₂²×C₄	—	4	4	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	—	4	4	no	—
1073	C₂²×C₄	—	4	4	no	—
1074	C₂²×C₄	—	4	2	no	—
1075	C₂²×C₄	—	4	2	no	—
1076	C₂²×C₄	—	4	2	no	—
1077	C₂²×C₄	—	4	2	no	—
1078	C₂²×C₄	—	4	2	no	—
1079	C₂²×C₄	—	4	2	no	—
1080	C₂²×C₄	—	4	4	no	—
1081	C₂²×C₄	—	4	4	no	—
1082	C₂²×C₄	—	4	4	no	—
1083	C₂²×C₄	—	4	4	no	—
1084	C₂²×C₄	—	4	4	no	—
1085	C₂²×C₄	—	4	4	no	—
1086	C₂²×C₄	—	8	8	no	—
1087	C₂²×C₄	—	8	8	no	—
1088	C₂²×C₄	C₂⁵	1	2	yes	—
1089	C₂²×C₄	C₂⁵	1	2	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	2	yes	—
1094	C₂²×C₄	C₂⁵	1	2	yes	—
1095	C₂²×C₄	C₂⁵	1	2	yes	—
1096	C₂²×C₄	C₂⁵	1	2	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	4	yes	—
1101	C₂²×C₄	C₂⁵	1	4	yes	—
1102	C₂²×C₄	C₂⁵	1	4	yes	—
1103	C₂²×C₄	C₂⁵	1	4	yes	—
1104	C₂²×C₄	C₂⁵	1	4	yes	—
1105	C₂²×C₄	C₂⁵	1	4	yes	—
1106	C₄⋊C₄	—	4	4	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	4	no	—
1109	C₄⋊C₄	—	4	4	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	4	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₄⋊C₄	—	4	4	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	4	no	—
1117	C₄⋊C₄	—	4	4	no	—
1118	C₄⋊C₄	—	4	4	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	4	no	—
1121	C₄⋊C₄	—	4	4	no	—
1122	C₄⋊C₄	—	4	4	no	—
1123	C₄⋊C₄	—	4	4	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	4	no	—
1129	C₄⋊C₄	—	4	4	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	4	no	—
1139	C₂²⋊C₄	—	2	4	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	4	no	—
1142	C₂²⋊C₄	—	2	4	no	—
1143	C₂²⋊C₄	—	2	4	no	—
1144	C₂²⋊C₄	—	2	4	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	4	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	4	no	—
1153	C₂²⋊C₄	—	2	4	no	—
1154	C₂²⋊C₄	—	2	4	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	4	no	—
1157	C₂²⋊C₄	—	2	4	no	—
1158	C₂²⋊C₄	—	2	4	no	—
1159	C₂²⋊C₄	—	2	8	no	—
1160	C₂²⋊C₄	—	4	2	no	—
1161	C₂²⋊C₄	—	4	2	no	—
1162	C₂²⋊C₄	—	4	2	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	2	no	—
1166	C₂²⋊C₄	—	4	2	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	2	no	—
1169	C₂²⋊C₄	—	4	2	no	—
1170	C₂²⋊C₄	—	4	2	no	—
1171	C₂²⋊C₄	—	4	2	no	—
1172	C₂²⋊C₄	—	4	2	no	—
1173	C₂²⋊C₄	—	4	2	no	—
1174	C₂²⋊C₄	—	4	2	no	—
1175	C₂²⋊C₄	—	4	2	no	—
1176	C₂²⋊C₄	—	4	2	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	2	no	—
1180	C₂²⋊C₄	—	4	2	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	2	no	—
1186	C₂²⋊C₄	—	4	2	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₂²⋊C₄	—	4	2	no	—
1189	C₂²⋊C₄	—	4	2	no	—
1190	C₂²⋊C₄	—	4	2	no	—
1191	C₂²⋊C₄	—	4	2	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	4	no	—
1194	C₂²⋊C₄	—	4	2	no	—
1195	C₂²⋊C₄	—	4	2	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	C₂²⋊C₄	—	4	4	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	4	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₄²	—	4	4	no	—
1216	C₄²	—	4	4	no	—
1217	C₄²	—	4	4	no	—
1218	C₄²	—	4	4	no	—
1219	C₄²	—	4	4	no	—
1220	C₄²	—	4	4	no	—
1221	C₄²	—	4	4	no	—
1222	C₄²	—	4	4	no	—
1223	C₄²	—	4	4	no	—
1224	C₄²	—	4	4	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	2	no	—
1228	C₂³	—	2	2	no	—
1229	C₂³	—	2	2	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	2	no	—
1233	C₂³	—	2	2	no	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	8	no	—
1246	C₂³	—	2	8	no	—
1247	C₂³	—	2	8	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	2	no	—
1250	C₂³	—	2	4	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	4	no	—
1255	C₂³	—	2	4	no	—
1256	C₂³	—	2	2	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	4	4	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	4	4	no	—
1261	C₂³	—	4	4	no	—
1262	C₂³	—	4	4	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	4	no	—
1265	C₂³	—	4	4	no	—
1266	C₂³	—	4	4	no	—
1267	C₂³	—	4	4	no	—
1268	C₂³	—	4	4	no	—
1269	C₂³	—	4	4	no	—
1270	C₂³	—	4	4	no	—
1271	C₂³	—	4	4	no	—
1272	C₂³	—	4	4	no	—
1273	C₂³	—	4	4	no	—
1274	C₂³	—	4	4	no	—
1275	C₂³	—	4	4	no	—
1276	C₂³	—	4	4	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	4	16	no	—
1279	C₂³	—	8	8	no	—
1280	C₂³	—	8	8	no	—
1281	C₂³	—	8	8	no	—
1282	C₂³	—	8	2	no	—
1283	C₂³	—	8	2	no	—
1284	C₂³	—	8	2	no	—
1285	C₂³	—	8	2	no	—
1286	C₂³	—	8	8	no	—
1287	C₂³	—	8	8	no	—
1288	C₂³	—	8	8	no	—
1289	C₂³	—	8	64	no	—
1290	C₂³	—	16	4	no	—
1291	C₂³	—	16	4	no	—
1292	C₂³	C₂²×#41	1	2	yes	—
1293	C₂³	C₂²×#41	1	2	yes	—
1294	C₂³	C₂²×#41	1	2	yes	—
1295	C₂³	C₂²×#41	1	2	yes	—
1296	C₂³	C₂²×#41	1	2	yes	—
1297	C₂³	C₂²×#41	1	2	yes	—
1298	C₂³	C₂²×#41	1	2	yes	—
1299	C₂³	#585	1	4	yes	—
1300	C₂³	C₂⁶	1	1	yes	characteristic
1301	D₄	—	4	8	no	—
1302	D₄	—	4	8	no	—
1303	D₄	—	4	8	no	—
1304	D₄	—	4	8	no	—
1305	D₄	—	8	4	no	—
1306	D₄	—	8	4	no	—
1307	D₄	—	8	4	no	—
1308	D₄	—	8	4	no	—
1309	D₄	—	8	4	no	—
1310	D₄	—	8	4	no	—
1311	D₄	—	8	4	no	—
1312	D₄	—	8	4	no	—
1313	D₄	—	8	8	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	2	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	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	4	no	—
1330	C₂×C₄	—	2	4	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	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	4	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	2	4	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	4	no	—
1348	C₂×C₄	—	2	4	no	—
1349	C₂×C₄	—	2	4	no	—
1350	C₂×C₄	—	2	4	no	—
1351	C₂×C₄	—	2	4	no	—
1352	C₂×C₄	—	2	4	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	4	no	—
1357	C₂×C₄	—	2	4	no	—
1358	C₂×C₄	—	2	2	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	4	8	no	—
1361	C₂×C₄	—	4	8	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	8	8	no	—
1365	C₂×C₄	—	8	8	no	—
1366	C₂×C₄	—	8	8	no	—
1367	C₂×C₄	—	8	2	no	—
1368	C₂×C₄	—	8	2	no	—
1369	C₂×C₄	—	8	4	no	—
1370	C₂×C₄	—	8	4	no	—
1371	C₂×C₄	—	8	2	no	—
1372	C₂×C₄	—	8	2	no	—
1373	C₂×C₄	—	8	2	no	—
1374	C₂×C₄	—	8	2	no	—
1375	C₂×C₄	—	8	2	no	—
1376	C₂×C₄	—	8	2	no	—
1377	C₂×C₄	—	8	8	no	—
1378	C₂×C₄	—	16	4	no	—
1379	C₂×C₄	—	16	4	no	—
1380	C₂²	—	2	8	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	2	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	2	no	—
1401	C₂²	—	4	16	no	—
1402	C₂²	—	4	4	no	—
1403	C₂²	—	4	4	no	—
1404	C₂²	—	4	4	no	—
1405	C₂²	—	4	4	no	—
1406	C₂²	—	4	4	no	—
1407	C₂²	—	4	4	no	—
1408	C₂²	—	4	2	no	—
1409	C₂²	—	4	2	no	—
1410	C₂²	—	4	4	no	—
1411	C₂²	—	4	4	no	—
1412	C₂²	—	4	4	no	—
1413	C₂²	—	4	4	no	—
1414	C₂²	—	4	2	no	—
1415	C₂²	—	4	2	no	—
1416	C₂²	—	4	2	no	—
1417	C₂²	—	4	2	no	—
1418	C₂²	—	8	8	no	—
1419	C₂²	—	8	8	no	—
1420	C₂²	—	8	8	no	—
1421	C₂²	—	8	8	no	—
1422	C₂²	—	8	8	no	—
1423	C₂²	—	8	8	no	—
1424	C₂²	—	16	4	no	—
1425	C₂²	—	16	4	no	—
1426	C₂²	#3491	1	4	yes	—
1427	C₂²	C₂³×#41	1	1	yes	characteristic
1428	C₂²	C₂×#585	1	2	yes	—
1429	C₂²	H(7,𝔽₂)	1	2	yes	—
1430	C₂²	H(7,𝔽₂)	1	2	yes	—
1431	C₄	—	4	2	no	—
1432	C₄	—	4	2	no	—
1433	C₄	—	4	4	no	—
1434	C₄	—	4	4	no	—
1435	C₄	—	4	4	no	—
1436	C₄	—	4	4	no	—
1437	C₄	—	4	4	no	—
1438	C₄	—	4	4	no	—
1439	C₄	—	4	4	no	—
1440	C₄	—	4	4	no	—
1441	C₄	—	4	2	no	—
1442	C₄	—	4	2	no	—
1443	C₄	—	4	2	no	—
1444	C₄	—	4	2	no	—
1445	C₄	—	4	2	no	—
1446	C₄	—	4	2	no	—
1447	C₄	—	4	2	no	—
1448	C₄	—	4	2	no	—
1449	C₂	—	2	4	no	—
1450	C₂	—	4	2	no	—
1451	C₂	—	4	2	no	—
1452	C₂	—	4	2	no	—
1453	C₂	—	4	2	no	—
1454	C₂	—	4	2	no	—
1455	C₂	—	4	2	no	—
1456	C₂	—	8	2	no	—
1457	C₂	—	8	2	no	—
1458	C₂	C₂×#3491	1	1	yes	characteristic
1459	C₂	#62844	1	1	yes	characteristic
1460	C₂	#62844	1	1	yes	characteristic
1461	C₂	#63042	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#37436	C₂
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. #47195	C₂	semidirect
2. #46999	C₂	semidirect
3. #46838	C₂	semidirect
4. #46838	C₂	semidirect
5. #46390	C₂	semidirect
6. #46389	C₂	semidirect
7. #46388	C₂	semidirect
8. #46386	C₂	semidirect
9. #45461	C₂	semidirect
10. #45459	C₂	semidirect
11. #43509	C₂	semidirect
12. #43149	C₂	semidirect
13. #43147	C₂	semidirect
14. #43052	C₂	semidirect
15. #41606	C₂	semidirect
16. #41606	C₂	semidirect
17. #40928	C₂	semidirect
18. #40913	C₂	semidirect
19. #40659	C₂	semidirect
21. C₂×#2842	C₂	semidirect
22. #35780	C₂	semidirect
23. #34992	C₂	semidirect
24. #34992	C₂	semidirect
25. #34356	C₂	semidirect
26. #34356	C₂	semidirect
27. #34176	C₂	semidirect
31. #2849	C₂²	semidirect
32. #2849	C₂²	semidirect
33. #2849	C₂²	semidirect
34. #2849	C₂²	semidirect
39. #2842	C₂²	semidirect
40. #2842	C₂²	semidirect
41. #2842	C₂²	semidirect
42. #2827	C₂²	semidirect
43. #2827	C₂²	semidirect
45. #2771	C₂²	semidirect
46. #2771	C₂²	semidirect
47. #2765	C₂²	semidirect
48. #2765	C₂²	semidirect
49. #2761	C₂²	semidirect
50. #2752	C₂²	semidirect
51. #2750	C₂²	semidirect
52. #2750	C₂²	semidirect
53. #2749	C₂²	semidirect
54. #2746	C₂²	semidirect
55. #2746	C₂²	semidirect
56. #2744	C₂²	semidirect
57. #2744	C₂²	semidirect
58. #2743	C₂²	semidirect
59. #2743	C₂²	semidirect
60. #2743	C₂²	semidirect
61. #2743	C₂²	semidirect
62. #2743	C₂²	semidirect
63. #2743	C₂²	semidirect
64. #2740	C₂²	semidirect
65. #2739	C₂²	semidirect
66. #2739	C₂²	semidirect
67. #2739	C₂²	semidirect
68. #2738	C₂²	semidirect
69. #2738	C₂²	semidirect
70. #2738	C₂²	semidirect
71. #2735	C₂²	semidirect
72. #2735	C₂²	semidirect
73. #2707	C₂²	semidirect
74. #2707	C₂²	semidirect
75. #2706	C₂²	semidirect
76. #2705	C₂²	semidirect
77. #2705	C₂²	semidirect
78. #2695	C₂²	semidirect
79. #2695	C₂²	semidirect
80. #2694	C₂²	semidirect
81. #2694	C₂²	semidirect
82. #2693	C₂²	semidirect
83. #2685	C₂²	semidirect
84. #2685	C₂²	semidirect
85. #2652	C₂²	semidirect
86. #2652	C₂²	semidirect
87. #2652	C₂²	semidirect
88. #2648	C₂²	semidirect
89. #2636	C₂²	semidirect
90. #2630	C₂²	semidirect
98. #2611	C₂²	semidirect
99. #2611	C₂²	semidirect
100. #2609	C₂²	semidirect
101. #2601	C₂²	semidirect
102. #2601	C₂²	semidirect
103. #2598	C₂²	semidirect
104. #2591	C₂²	semidirect
105. #2579	C₂²	semidirect
106. #2576	C₂²	semidirect
107. #2575	C₂²	semidirect
108. #2575	C₂²	semidirect
109. #2575	C₂²	semidirect
110. #2573	C₂²	semidirect
111. #2573	C₂²	semidirect
112. #2573	C₂²	semidirect
113. #2569	C₂²	semidirect
114. #2558	C₂²	semidirect
115. #2558	C₂²	semidirect
116. #2554	C₂²	semidirect
117. #2553	C₂²	semidirect
118. #2553	C₂²	semidirect
119. #2534	C₂²	semidirect
120. #2526	C₂²	semidirect
121. #2526	C₂²	semidirect
122. #2526	C₂²	semidirect
123. #2518	C₂²	semidirect
124. #2518	C₂²	semidirect
125. #2516	C₂²	semidirect
126. #2516	C₂²	semidirect
127. #2515	C₂²	semidirect
128. #2515	C₂²	semidirect
129. #2510	C₂²	semidirect
130. #2487	C₂²	semidirect
136. #2483	C₂²	semidirect
137. #2483	C₂²	semidirect
138. #2482	C₂²	semidirect
139. #2481	C₂²	semidirect
140. #2481	C₂²	semidirect
141. #2481	C₂²	semidirect
142. #2480	C₂²	semidirect
143. #2479	C₂²	semidirect
144. #2479	C₂²	semidirect
145. #2479	C₂²	semidirect
146. #2475	C₂²	semidirect
147. #2475	C₂²	semidirect
148. #2471	C₂²	semidirect
149. #2471	C₂²	semidirect
150. #2470	C₂²	semidirect
151. #2470	C₂²	semidirect
152. #2466	C₂²	semidirect
153. #2466	C₂²	semidirect
154. #2460	C₂²	semidirect
155. #2460	C₂²	semidirect
156. #2457	C₂²	semidirect
157. #2457	C₂²	semidirect
158. #2444	C₂²	semidirect
159. #2443	C₂²	semidirect
160. #2442	C₂²	semidirect
161. #2442	C₂²	semidirect
162. #2418	C₂²	semidirect
167. #2412	C₂²	semidirect
168. #2412	C₂²	semidirect
169. #2412	C₂²	semidirect
170. #2412	C₂²	semidirect
179. #2405	C₂²	semidirect
180. #2405	C₂²	semidirect
182. #2401	C₂²	semidirect
183. C₂×#399	C₂²	semidirect
184. #2392	C₂²	semidirect
185. C₂×#396	C₂²	semidirect
186. C₂×#396	C₂²	semidirect
187. #2375	C₂²	semidirect
188. #2375	C₂²	semidirect
189. #2361	C₂²	semidirect
190. #2358	C₂²	semidirect
191. #2358	C₂²	semidirect
192. #2353	C₂²	semidirect
193. #2352	C₂²	semidirect
194. #2345	C₂²	semidirect
195. #2342	C₂²	semidirect
196. #2342	C₂²	semidirect
197. #2342	C₂²	semidirect
198. #2342	C₂²	semidirect
199. #2342	C₂²	semidirect
200. #2342	C₂²	semidirect
201. #2342	C₂²	semidirect
202. #2342	C₂²	semidirect
203. D₄×C₂²⋊C₄	C₂²	semidirect
204. D₄×C₂²⋊C₄	C₂²	semidirect
205. D₄×C₂²⋊C₄	C₂²	semidirect
206. D₄×C₂²⋊C₄	C₂²	semidirect
211. #2315	C₂²	semidirect
212. #2315	C₂²	semidirect
213. #2315	C₂²	semidirect
226. #2308	C₂²	semidirect
227. #2308	C₂²	semidirect
228. #2280	C₂²	semidirect
229. #2280	C₂²	semidirect
234. #2273	C₂²	semidirect
244. C₂×#126	C₂³	semidirect
245. C₂×#126	C₂³	semidirect
246. C₂×#126	C₂³	semidirect
247. C₂×#125	C₂³	semidirect
248. C₂×#125	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
275. C₂×C₄×D₄	C₂³	semidirect
280. C₂×#117	C₂³	semidirect
313. #401	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
321. #400	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
340. #399	C₂³	semidirect
341. #399	C₂³	semidirect
342. #399	C₂³	semidirect
343. #398	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #398	C₂³	semidirect
348. #398	C₂³	semidirect
349. #398	C₂³	semidirect
350. #398	C₂³	semidirect
351. #398	C₂³	semidirect
364. #397	C₂³	semidirect
365. #397	C₂³	semidirect
366. #397	C₂³	semidirect
367. #397	C₂³	semidirect
368. #397	C₂³	semidirect
369. #397	C₂³	semidirect
370. #397	C₂³	semidirect
371. #397	C₂³	semidirect
388. #396	C₂³	semidirect
389. #396	C₂³	semidirect
390. #396	C₂³	semidirect
391. #396	C₂³	semidirect
392. #396	C₂³	semidirect
409. #394	C₂³	semidirect
410. #394	C₂³	semidirect
411. #394	C₂³	semidirect
412. #394	C₂³	semidirect
425. #390	C₂³	semidirect
426. #389	C₂³	semidirect
427. #389	C₂³	semidirect
428. #389	C₂³	semidirect
429. #389	C₂³	semidirect
430. #389	C₂³	semidirect
431. #389	C₂³	semidirect
432. #389	C₂³	semidirect
433. #389	C₂³	semidirect
434. #389	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. #387	C₂³	semidirect
477. #387	C₂³	semidirect
478. #387	C₂³	semidirect
479. #387	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
498. #387	C₂³	semidirect
531. #386	C₂³	semidirect
562. #385	C₂³	semidirect
563. #385	C₂³	semidirect
564. #385	C₂³	semidirect
565. #385	C₂³	semidirect
566. #385	C₂³	semidirect
567. #383	C₂³	semidirect
568. #383	C₂³	semidirect
569. #382	C₂³	semidirect
570. #382	C₂³	semidirect
571. #382	C₂³	semidirect
588. #381	C₂³	semidirect
589. #381	C₂³	semidirect
605. #380	C₂³	semidirect
606. #380	C₂³	semidirect
607. #380	C₂³	semidirect
636. C₄×C₄⋊C₄	C₂³	semidirect
637. C₄×C₄⋊C₄	C₂³	semidirect
638. C₄×C₄⋊C₄	C₂³	semidirect
639. C₄×C₄⋊C₄	C₂³	semidirect
658. C₄×C₂²⋊C₄	C₂³	semidirect
659. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#47195	2
#46999	2
#46838	2
#46390	2
#46389	2
#46388	2
#46386	2
#45461	2
#45459	2
#43509	2
#43149	2
#43147	2
#43052	2
#41606	2
#40928	2
#40913	2
#40659	2
#37436	2
C₂×#2842	2
#35780	2
#34992	2
#34356	2
#34176	2