Subgroups — #10577430

Order 512.

7604 conjugacy classes of subgroups.

The subgroup lattice has 1340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62888	C₂	1	1	yes	maximal, characteristic, complemented
2	#62842	C₂	1	1	yes	maximal, characteristic, complemented
3	#61649	C₂	1	4	yes	maximal, complemented
4	#61643	C₂	1	4	yes	maximal, complemented
5	#61635	C₂	1	4	yes	maximal, complemented
6	#61631	C₂	1	4	yes	maximal, complemented
7	#61613	C₂	1	8	yes	maximal, complemented
8	#61610	C₂	1	8	yes	maximal, complemented
9	#61219	C₂	1	2	yes	maximal, complemented
10	#61212	C₂	1	2	yes	maximal, complemented
11	#61201	C₂	1	4	yes	maximal, complemented
12	#61094	C₂	1	4	yes	maximal, complemented
13	#61085	C₂	1	2	yes	maximal, complemented
14	#61080	C₂	1	2	yes	maximal, complemented
15	#60809	C₂	1	1	yes	maximal, characteristic, complemented
16	#60797	C₂	1	1	yes	maximal, characteristic, complemented
17	#60766	C₂	1	4	yes	maximal, complemented
18	#60564	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#3123	C₂	1	1	yes	maximal, characteristic, complemented
20	#60373	C₂	1	4	yes	maximal, complemented
21	#60238	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×H(5,𝔽₂)	C₂²	1	2	yes	—
23	C₂×#577	C₂²	1	4	yes	complemented
24	C₂×#577	C₂²	1	4	yes	complemented
25	#3562	—	2	4	no	—
26	#3560	—	2	4	no	—
27	#3559	—	2	4	no	—
28	#3552	—	2	4	no	—
29	#3541	C₂²	1	8	yes	complemented
30	#3539	C₂²	1	4	yes	complemented
31	#3538	C₂²	1	4	yes	complemented
32	#3512	C₂²	1	2	yes	complemented
33	#3507	C₂²	1	2	yes	complemented
34	#3499	C₂²	1	2	yes	complemented
35	#3497	C₂²	1	2	yes	complemented
36	#3496	—	2	4	no	—
37	#3496	C₂²	1	4	yes	—
38	#3496	C₂²	1	2	yes	—
39	#3496	C₂²	1	2	yes	—
40	#3489	C₂²	1	4	yes	complemented
41	#3485	—	2	4	no	—
42	#3485	C₂²	1	4	yes	—
43	#3485	C₂²	1	4	yes	—
44	#3484	—	2	4	no	—
45	#3484	C₂²	1	4	yes	—
46	#3484	C₂²	1	4	yes	—
47	#3455	C₂²	1	1	yes	characteristic, complemented
48	C₂×#541	C₂²	1	1	yes	characteristic, complemented
49	#3449	C₂²	1	1	yes	characteristic
50	#3449	C₂²	1	2	yes	—
51	#3449	C₂²	1	1	yes	characteristic
52	C₂×#534	—	2	4	no	—
53	C₂×#518	C₂²	1	1	yes	characteristic
54	#3331	C₂²	1	4	yes	complemented
55	#3324	C₂²	1	4	yes	complemented
56	#3323	C₂²	1	8	yes	complemented
57	#3323	C₂²	1	8	yes	complemented
58	#3322	C₂²	1	8	yes	complemented
59	#3318	C₂²	1	8	yes	complemented
60	#3315	C₂²	1	8	yes	complemented
61	#3315	C₂²	1	8	yes	complemented
62	#3314	C₂²	1	8	yes	complemented
63	#3311	C₂²	1	8	yes	complemented
64	#3310	C₂²	1	8	yes	complemented
65	#3310	C₂²	1	8	yes	complemented
66	#3307	C₂²	1	8	yes	complemented
67	#3302	C₂²	1	4	yes	complemented
68	#3297	C₂²	1	8	yes	complemented
69	#3296	C₂²	1	8	yes	complemented
70	#3296	C₂²	1	8	yes	complemented
71	#3295	C₂²	1	4	yes	complemented
72	#3284	C₂²	1	4	yes	complemented
73	#3283	C₂²	1	8	yes	complemented
74	#3282	C₂²	1	8	yes	complemented
75	D₄×SD₁₆	C₂²	1	4	yes	complemented
76	D₄×SD₁₆	C₂²	1	8	yes	complemented
77	#3276	C₂²	1	4	yes	complemented
78	#3276	C₂²	1	8	yes	complemented
79	#3275	C₂²	1	8	yes	complemented
80	#3274	C₂²	1	4	yes	complemented
81	#3272	C₂²	1	8	yes	complemented
82	#3269	C₂²	1	8	yes	complemented
83	#3268	C₂²	1	8	yes	complemented
84	#3267	C₂²	1	8	yes	complemented
85	#3267	C₂²	1	8	yes	complemented
86	#3266	C₂²	1	8	yes	complemented
87	#3266	C₂²	1	8	yes	complemented
88	#3266	C₂²	1	8	yes	complemented
89	#3265	C₂²	1	8	yes	complemented
90	#3225	C₂²	1	4	yes	complemented
91	#3224	C₂²	1	4	yes	complemented
92	#3223	C₂²	1	2	yes	complemented
93	#3223	C₂²	1	4	yes	complemented
94	#3223	C₂²	1	4	yes	complemented
95	#3222	C₂²	1	2	yes	complemented
96	#3222	C₂²	1	4	yes	complemented
97	#3222	C₂²	1	4	yes	complemented
98	#3221	C₂²	1	2	yes	complemented
99	#3220	C₂²	1	2	yes	complemented
100	#3202	C₂²	1	8	yes	complemented
101	#3201	C₂²	1	8	yes	complemented
102	#3200	C₂²	1	8	yes	complemented
103	#3198	C₂²	1	8	yes	complemented
104	#3197	C₂²	1	8	yes	complemented
105	#3196	C₂²	1	8	yes	complemented
106	#3191	C₂²	1	8	yes	complemented
107	#3190	C₂²	1	8	yes	complemented
108	#3152	C₂²	1	2	yes	complemented
109	#3150	C₂²	1	1	yes	characteristic, complemented
110	#3147	C₂²	1	1	yes	characteristic, complemented
111	#3142	C₂²	1	2	yes	complemented
112	#3135	C₂²	1	1	yes	characteristic, complemented
113	#3131	C₂²	1	1	yes	characteristic, complemented
114	#3123	C₂²	1	8	yes	complemented
115	#3123	C₂²	1	4	yes	complemented
116	#3123	C₂²	1	4	yes	complemented
117	#3123	C₂²	1	4	yes	complemented
118	#3122	C₂²	1	4	yes	complemented
119	#3118	C₂²	1	8	yes	complemented
120	#3099	C₂²	1	4	yes	complemented
121	#3098	C₂²	1	4	yes	complemented
122	#3093	C₂²	1	2	yes	complemented
123	C₂×#485	C₂²	1	2	yes	complemented
124	#3077	C₂²	1	2	yes	complemented
125	C₂×#478	C₂²	1	2	yes	complemented
126	#3063	C₂²	1	4	yes	complemented
127	#3063	C₂²	1	4	yes	complemented
128	#3061	C₂²	1	4	yes	complemented
129	#3060	C₂²	1	4	yes	complemented
130	#3037	C₂²	1	2	yes	complemented
131	#3037	C₂²	1	2	yes	complemented
132	#3036	C₂²	1	2	yes	complemented
133	#3035	C₂²	1	4	yes	complemented
134	C₂×#461	C₂²	1	2	yes	complemented
135	#3013	C₂²	1	4	yes	complemented
136	#3013	C₂²	1	4	yes	complemented
137	#3012	C₂²	1	8	yes	complemented
138	#3012	C₂²	1	8	yes	complemented
139	#3012	C₂²	1	4	yes	complemented
140	#3012	C₂²	1	4	yes	complemented
141	#3009	C₂²	1	8	yes	complemented
142	#3009	C₂²	1	8	yes	complemented
143	#3009	C₂²	1	4	yes	complemented
144	#3009	C₂²	1	4	yes	complemented
145	#3007	C₂²	1	4	yes	complemented
146	#3007	C₂²	1	8	yes	complemented
147	#3003	C₂²	1	2	yes	—
148	#3003	C₂²	1	8	yes	complemented
149	#3002	C₂²	1	4	yes	complemented
150	#3002	C₂²	1	8	yes	complemented
151	C₂×#450	C₂²	1	2	yes	—
152	C₂×#450	C₂²	1	8	yes	complemented
153	#2978	C₂²	1	4	yes	complemented
154	#2977	C₂²	1	4	yes	complemented
155	#2976	C₂²	1	8	yes	complemented
156	C₄×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
157	C₂×#440	C₂²	1	2	yes	complemented
158	C₂×C₄×SD₁₆	C₂²	1	2	yes	complemented
159	#2935	C₂²	1	4	yes	complemented
160	#2932	C₂²	1	2	yes	complemented
161	#2931	C₂²	1	2	yes	complemented
162	#2921	C₂²	1	1	yes	characteristic, complemented
163	C₂×#433	C₂²	1	1	yes	characteristic, complemented
164	#2897	C₂²	1	4	yes	complemented
165	#2897	C₂²	1	4	yes	complemented
166	#2880	C₂²	1	4	yes	complemented
167	C₂×2₋¹⁺⁴	C₂³	1	4	yes	complemented
168	C₂×H(5,𝔽₂)	—	2	4	no	—
169	C₂×H(5,𝔽₂)	—	2	4	no	—
170	C₂×H(5,𝔽₂)	—	4	16	no	—
171	C₂×H(5,𝔽₂)	C₂³	1	4	yes	—
172	C₂×H(5,𝔽₂)	C₂³	1	4	yes	—
173	C₂×H(5,𝔽₂)	C₂³	1	4	yes	—
174	C₂×H(5,𝔽₂)	C₂³	1	4	yes	—
175	C₂²×#41	—	2	2	no	—
176	C₂²×#41	C₂³	1	2	yes	—
177	C₂²×#41	C₂³	1	4	yes	—
178	C₂²×#41	C₂³	1	2	yes	—
179	C₂³×D₄	—	2	4	no	—
180	C₂³×D₄	—	2	2	no	—
181	C₂³×D₄	C₂³	1	1	yes	characteristic
182	C₂³×D₄	C₂³	1	4	yes	—
183	#577	—	4	16	no	—
184	#577	—	4	16	no	—
185	C₂×#137	C₂³	1	4	yes	complemented
186	C₂×#137	C₂³	1	4	yes	complemented
187	C₂×#137	C₂³	1	8	yes	complemented
188	C₂×#137	C₂³	1	8	yes	complemented
189	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	—
190	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
191	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
192	C₂×#135	C₂³	1	4	yes	complemented
193	C₂×#135	C₂³	1	4	yes	complemented
194	C₂×#135	C₂³	1	8	yes	complemented
195	C₂×#135	C₂³	1	8	yes	complemented
196	C₂²×SD₁₆	C₂³	1	2	yes	—
197	C₂²×SD₁₆	C₂³	1	2	yes	—
198	C₂²×SD₁₆	C₂³	1	8	yes	complemented
199	C₂²×SD₁₆	C₂³	1	8	yes	complemented
200	C₂×#131	C₂³	1	4	yes	complemented
201	C₂×#131	C₂³	1	4	yes	complemented
202	#563	—	2	8	no	—
203	#563	—	2	8	no	—
204	#562	—	2	8	no	—
205	#560	—	2	8	no	—
206	#559	—	2	2	no	—
207	#557	—	2	2	no	—
208	#556	—	2	4	no	—
209	#556	C₂³	1	4	yes	complemented
210	#554	—	2	8	no	—
211	#554	C₂³	1	4	yes	complemented
212	#553	—	2	8	no	—
213	#553	—	2	8	no	—
214	#553	—	2	8	no	—
215	#553	C₂³	1	8	yes	complemented
216	#552	C₂³	1	8	yes	complemented
217	#552	C₂³	1	8	yes	complemented
218	#551	—	2	8	no	—
219	#550	—	2	2	no	—
220	#550	C₂³	1	4	yes	complemented
221	D₄×Q₈	—	2	4	no	—
222	D₄×Q₈	—	2	2	no	—
223	D₄×Q₈	C₂³	1	4	yes	complemented
224	D₄×Q₈	C₂³	1	8	yes	complemented
225	#548	—	2	4	no	—
226	#548	—	2	4	no	—
227	#548	C₂³	1	8	yes	complemented
228	#547	—	2	4	no	—
229	#547	—	2	8	no	—
230	#547	—	2	4	no	—
231	#547	—	2	2	no	—
232	#547	—	2	2	no	—
233	#547	—	2	8	no	—
234	#547	—	2	8	no	—
235	#547	—	2	8	no	—
236	#547	C₂³	1	4	yes	—
237	#547	C₂³	1	8	yes	—
238	#547	C₂³	1	4	yes	—
239	#547	C₂³	1	8	yes	complemented
240	#546	—	2	8	no	—
241	#546	—	2	4	no	—
242	#546	—	2	4	no	—
243	#546	—	2	4	no	—
244	#546	—	2	4	no	—
245	#546	—	2	4	no	—
246	#546	—	2	8	no	—
247	#546	—	2	8	no	—
248	#546	—	2	8	no	—
249	#546	—	2	8	no	—
250	#546	C₂³	1	8	yes	—
251	#546	C₂³	1	8	yes	—
252	#546	C₂³	1	8	yes	—
253	#546	C₂³	1	8	yes	—
254	D₄²	—	2	4	no	—
255	D₄²	—	2	2	no	—
256	D₄²	—	2	2	no	—
257	D₄²	—	2	8	no	—
258	D₄²	—	2	8	no	—
259	D₄²	C₂³	1	4	yes	—
260	D₄²	C₂³	1	8	yes	—
261	D₄²	C₂³	1	4	yes	—
262	#544	—	2	8	no	—
263	#542	—	2	8	no	—
264	#542	C₂³	1	4	yes	complemented
265	#541	—	2	2	no	—
266	#541	—	2	4	no	—
267	#541	C₂³	1	4	yes	complemented
268	#541	C₂³	1	4	yes	complemented
269	#541	C₂³	1	2	yes	complemented
270	#540	—	2	2	no	—
271	#540	—	2	8	no	—
272	#540	C₂³	1	2	yes	complemented
273	#539	—	2	8	no	—
274	#539	—	2	8	no	—
275	#539	—	2	4	no	—
276	#539	—	2	8	no	—
277	#539	—	2	2	no	—
278	#538	—	2	8	no	—
279	#538	—	2	8	no	—
280	#538	—	2	2	no	—
281	#537	—	2	4	no	—
282	#537	—	2	2	no	—
283	#537	D₄	1	4	yes	—
284	#537	C₂³	1	4	yes	—
285	#537	C₂³	1	4	yes	—
286	#537	C₂³	1	8	yes	—
287	#537	C₂³	1	4	yes	complemented
288	#536	—	2	2	no	—
289	#536	—	2	4	no	—
290	#536	D₄	1	4	yes	—
291	#536	C₂³	1	2	yes	—
292	#536	C₂³	1	2	yes	—
293	#536	C₂³	1	4	yes	—
294	#536	C₂³	1	8	yes	—
295	#536	C₂³	1	4	yes	complemented
296	#535	—	2	2	no	—
297	#535	D₄	1	4	yes	—
298	#535	C₂³	1	2	yes	—
299	#535	C₂³	1	2	yes	—
300	#535	C₂³	1	4	yes	—
301	#534	—	2	4	no	—
302	#534	—	2	8	no	—
303	#534	—	2	8	no	—
304	#534	—	2	4	no	—
305	#534	—	2	4	no	—
306	#534	—	2	8	no	—
307	#534	—	2	8	no	—
308	#534	—	2	8	no	—
309	#534	—	2	2	no	—
310	#534	D₄	1	4	yes	—
311	#533	C₂³	1	1	yes	characteristic, complemented
312	#532	—	2	4	no	—
313	#532	—	2	2	no	—
314	#532	—	2	4	no	—
315	#532	C₂³	1	1	yes	characteristic
316	#532	C₂³	1	1	yes	characteristic
317	#532	C₂³	1	2	yes	—
318	#532	C₂³	1	2	yes	—
319	#532	C₂³	1	2	yes	—
320	#532	C₂³	1	1	yes	characteristic, complemented
321	C₂×C₄⋊Q₈	—	2	2	no	—
322	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
323	#529	—	2	4	no	—
324	#529	—	2	4	no	—
325	#529	—	2	4	no	—
326	C₂×#126	—	2	2	no	—
327	C₂×#125	—	2	2	no	—
328	C₂×#125	C₂³	1	1	yes	characteristic, complemented
329	#525	—	2	4	no	—
330	#525	—	2	4	no	—
331	#525	C₂³	1	2	yes	—
332	#525	C₂³	1	4	yes	—
333	#525	C₂³	1	4	yes	—
334	#525	C₂³	1	4	yes	—
335	#525	C₂³	1	4	yes	—
336	#525	C₂³	1	8	yes	complemented
337	C₂×#123	—	2	8	no	—
338	C₂×#123	—	2	8	no	—
339	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
340	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
341	C₂×#121	—	2	4	no	—
342	C₂×#121	—	2	4	no	—
343	C₂×#121	—	2	8	no	—
344	C₂×#120	—	2	8	no	—
345	C₂×#120	—	2	8	no	—
346	#520	C₂³	1	4	yes	complemented
347	#518	—	2	4	no	—
348	#518	C₂³	1	4	yes	—
349	#518	C₂³	1	4	yes	—
350	C₄×#41	C₂³	1	2	yes	complemented
351	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
352	C₂×C₄×D₄	—	2	2	no	—
353	C₂×C₄×D₄	C₂³	1	2	yes	—
354	C₂×C₄×D₄	C₂³	1	2	yes	—
355	C₂×#117	C₂³	1	1	yes	characteristic
356	C₂×#117	C₂³	1	1	yes	characteristic
357	C₂²×C₂²⋊C₄	—	2	2	no	—
358	#497	C₂³	1	2	yes	complemented
359	#497	C₂³	1	2	yes	complemented
360	#497	C₂³	1	4	yes	complemented
361	#497	C₂³	1	4	yes	complemented
362	#496	C₂³	1	2	yes	complemented
363	#496	C₂³	1	2	yes	complemented
364	#495	C₂³	1	4	yes	complemented
365	#494	C₂³	1	1	yes	characteristic, complemented
366	#494	C₂³	1	4	yes	complemented
367	#493	C₂³	1	1	yes	characteristic, complemented
368	#492	C₂³	1	1	yes	characteristic, complemented
369	#492	C₂³	1	1	yes	characteristic, complemented
370	#492	C₂³	1	4	yes	complemented
371	#491	C₂³	1	2	yes	complemented
372	#491	C₂³	1	4	yes	complemented
373	#490	C₂³	1	2	yes	complemented
374	#490	C₂³	1	4	yes	complemented
375	#489	C₂³	1	4	yes	complemented
376	#488	C₂³	1	2	yes	complemented
377	#488	C₂³	1	2	yes	complemented
378	#488	C₂³	1	4	yes	complemented
379	#488	C₂³	1	4	yes	complemented
380	#487	C₂³	1	2	yes	complemented
381	#486	C₂³	1	2	yes	complemented
382	#485	C₂³	1	8	yes	complemented
383	#485	C₂³	1	8	yes	complemented
384	#485	C₂³	1	8	yes	complemented
385	#485	C₂³	1	8	yes	complemented
386	#485	C₂³	1	8	yes	complemented
387	#484	C₂³	1	8	yes	complemented
388	#483	C₂³	1	8	yes	complemented
389	#482	C₂³	1	8	yes	complemented
390	#482	C₂³	1	8	yes	complemented
391	#482	C₂³	1	8	yes	complemented
392	#481	C₂³	1	8	yes	complemented
393	#480	C₂³	1	8	yes	complemented
394	#478	C₂³	1	8	yes	complemented
395	#478	C₂³	1	8	yes	complemented
396	#478	C₂³	1	8	yes	complemented
397	#476	C₂³	1	4	yes	complemented
398	#474	C₂³	1	4	yes	complemented
399	#470	C₂³	1	8	yes	complemented
400	#470	C₂³	1	8	yes	complemented
401	#470	C₂³	1	8	yes	complemented
402	#469	C₂³	1	8	yes	complemented
403	#468	C₂³	1	8	yes	complemented
404	#468	C₂³	1	8	yes	complemented
405	#468	C₂³	1	8	yes	complemented
406	#468	C₂³	1	8	yes	complemented
407	#467	C₂³	1	8	yes	complemented
408	#467	C₂³	1	8	yes	complemented
409	#467	C₂³	1	8	yes	complemented
410	#466	C₂³	1	8	yes	complemented
411	#465	C₂³	1	8	yes	complemented
412	#465	C₂³	1	8	yes	complemented
413	#465	C₂³	1	8	yes	complemented
414	#465	C₂³	1	8	yes	complemented
415	#464	C₂³	1	8	yes	complemented
416	#464	C₂³	1	8	yes	complemented
417	#464	C₂³	1	4	yes	complemented
418	#464	C₂³	1	4	yes	complemented
419	#463	C₂³	1	8	yes	complemented
420	#463	C₂³	1	4	yes	complemented
421	#463	C₂³	1	4	yes	complemented
422	#462	C₂³	1	4	yes	complemented
423	#462	C₂³	1	4	yes	complemented
424	#462	C₂³	1	4	yes	complemented
425	#461	C₂³	1	4	yes	complemented
426	#461	C₂³	1	8	yes	complemented
427	#461	C₂³	1	8	yes	complemented
428	#461	C₂³	1	4	yes	complemented
429	#460	C₂³	1	4	yes	complemented
430	#460	C₂³	1	4	yes	complemented
431	#460	C₂³	1	4	yes	complemented
432	#459	C₂³	1	4	yes	complemented
433	#459	C₂³	1	4	yes	complemented
434	#452	C₂³	1	4	yes	—
435	#452	C₂³	1	8	yes	—
436	#452	C₂³	1	8	yes	—
437	#452	C₂³	1	4	yes	—
438	#452	C₂³	1	8	yes	complemented
439	#452	C₂³	1	8	yes	complemented
440	#452	C₂³	1	8	yes	complemented
441	#452	C₂³	1	8	yes	complemented
442	#452	C₂³	1	8	yes	complemented
443	#452	C₂³	1	8	yes	complemented
444	#452	C₂³	1	8	yes	complemented
445	#452	C₂³	1	8	yes	complemented
446	#451	C₂³	1	8	yes	complemented
447	#451	C₂³	1	8	yes	complemented
448	#451	C₂³	1	8	yes	complemented
449	#451	C₂³	1	4	yes	complemented
450	#450	C₂³	1	8	yes	—
451	#450	C₂³	1	8	yes	—
452	#450	C₂³	1	8	yes	—
453	#450	C₂³	1	8	yes	complemented
454	#450	C₂³	1	4	yes	complemented
455	#450	C₂³	1	8	yes	complemented
456	#450	C₂³	1	8	yes	complemented
457	#450	C₂³	1	8	yes	complemented
458	#450	C₂³	1	8	yes	complemented
459	#450	C₂³	1	8	yes	complemented
460	#450	C₂³	1	8	yes	complemented
461	#449	C₂³	1	4	yes	—
462	#449	C₂³	1	4	yes	—
463	#449	C₂³	1	8	yes	complemented
464	#449	C₂³	1	8	yes	complemented
465	#449	C₂³	1	8	yes	complemented
466	#449	C₂³	1	8	yes	complemented
467	#448	C₂³	1	8	yes	complemented
468	#448	C₂³	1	8	yes	complemented
469	#448	C₂³	1	4	yes	complemented
470	#447	C₂³	1	8	yes	—
471	#447	C₂³	1	4	yes	complemented
472	#447	C₂³	1	8	yes	complemented
473	#447	C₂³	1	8	yes	complemented
474	#442	C₂³	1	8	yes	complemented
475	#440	C₂³	1	8	yes	complemented
476	#440	C₂³	1	8	yes	complemented
477	#440	C₂³	1	8	yes	complemented
478	C₄×SD₁₆	C₂³	1	4	yes	complemented
479	C₄×SD₁₆	C₂³	1	8	yes	complemented
480	C₄×SD₁₆	C₂³	1	4	yes	complemented
481	C₄×SD₁₆	C₂³	1	4	yes	complemented
482	C₄×SD₁₆	C₂³	1	4	yes	complemented
483	C₄×D₈	C₂³	1	8	yes	complemented
484	#436	C₂³	1	4	yes	complemented
485	#436	C₂³	1	4	yes	complemented
486	#436	C₂³	1	8	yes	complemented
487	#435	C₂³	1	8	yes	complemented
488	#435	C₂³	1	8	yes	complemented
489	#435	C₂³	1	8	yes	complemented
490	#435	C₂³	1	8	yes	complemented
491	C₈×D₄	C₂³	1	4	yes	complemented
492	C₈×D₄	C₂³	1	4	yes	complemented
493	C₈×D₄	C₂³	1	8	yes	complemented
494	#433	C₂³	1	4	yes	complemented
495	#433	C₂³	1	4	yes	complemented
496	#433	C₂³	1	2	yes	complemented
497	#433	C₂³	1	2	yes	complemented
498	#433	C₂³	1	4	yes	complemented
499	#428	C₂³	1	4	yes	complemented
500	C₂×#107	C₂³	1	2	yes	complemented
501	C₂×#106	C₂³	1	2	yes	complemented
502	#423	C₂³	1	2	yes	complemented
503	C₂×C₄⋊C₈	C₂³	1	2	yes	complemented
504	#418	C₂³	1	4	yes	—
505	#418	C₂³	1	8	yes	complemented
506	#418	C₂³	1	8	yes	complemented
507	#417	C₂³	1	8	yes	complemented
508	#417	C₂³	1	4	yes	complemented
509	#417	C₂³	1	4	yes	complemented
510	#417	C₂³	1	4	yes	complemented
511	#417	C₂³	1	8	yes	complemented
512	#416	C₂³	1	4	yes	complemented
513	#416	C₂³	1	4	yes	complemented
514	#416	C₂³	1	8	yes	complemented
515	#416	C₂³	1	8	yes	complemented
516	C₂×#103	C₂³	1	2	yes	complemented
517	C₂×#103	C₂³	1	2	yes	complemented
518	C₂×#102	C₂³	1	2	yes	—
519	C₂×#102	C₂³	1	2	yes	—
520	C₂×#102	C₂³	1	8	yes	complemented
521	C₂×#102	C₂³	1	8	yes	complemented
522	#408	C₂³	1	8	yes	—
523	#408	C₂³	1	8	yes	—
524	#408	C₂³	1	4	yes	complemented
525	#408	C₂³	1	4	yes	complemented
526	#407	C₂³	1	2	yes	—
527	#407	C₂³	1	8	yes	complemented
528	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
529	C₂×C₂²⋊C₈	C₂³	1	8	yes	complemented
530	C₄×M₁₆	C₂³	1	2	yes	complemented
531	C₂×#97	C₂³	1	1	yes	characteristic, complemented
532	C₂×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
533	C₂⁵	—	2	1	no	—
534	C₂⁵	—	2	4	no	—
535	2₋¹⁺⁴	—	4	8	no	—
536	2₋¹⁺⁴	—	4	8	no	—
537	H(5,𝔽₂)	—	2	16	no	—
538	H(5,𝔽₂)	—	2	16	no	—
539	H(5,𝔽₂)	—	4	16	no	—
540	H(5,𝔽₂)	—	4	16	no	—
541	H(5,𝔽₂)	—	4	8	no	—
542	H(5,𝔽₂)	—	4	8	no	—
543	H(5,𝔽₂)	—	4	32	no	—
544	H(5,𝔽₂)	—	4	32	no	—
545	C₂×#41	—	2	4	no	—
546	C₂×#41	—	2	4	no	—
547	C₂×#41	—	2	4	no	—
548	C₂×#41	—	2	4	no	—
549	C₂×#41	—	2	4	no	—
550	C₂×#41	—	2	8	no	—
551	C₂×#41	—	2	2	no	—
552	C₂×#41	—	2	2	no	—
553	C₂×#41	—	2	8	no	—
554	C₂×#41	—	4	8	no	—
555	C₂×#41	—	4	8	no	—
556	C₂×#41	—	4	16	no	—
557	C₂×#41	—	4	16	no	—
558	C₂×#41	C₂×D₄	1	4	yes	—
559	C₂×#41	C₂×D₄	1	4	yes	—
560	C₂×#41	C₂⁴	1	2	yes	—
561	C₂×#41	C₂⁴	1	2	yes	—
562	C₂×#41	C₂⁴	1	2	yes	—
563	C₂×#41	C₂⁴	1	8	yes	—
564	C₂×#41	C₂⁴	1	8	yes	—
565	C₂×#41	C₂⁴	1	2	yes	—
566	C₂×#41	C₂⁴	1	2	yes	—
567	C₂×#41	C₂⁴	1	8	yes	—
568	C₂×#41	C₂⁴	1	4	yes	—
569	C₂×#41	C₂⁴	1	4	yes	—
570	C₂²×Q₈	—	2	4	no	—
571	C₂²×Q₈	C₂×D₄	1	2	yes	—
572	C₂²×Q₈	C₂⁴	1	2	yes	—
573	C₂²×Q₈	C₂⁴	1	8	yes	—
574	C₂²×Q₈	C₂⁴	1	2	yes	—
575	C₂²×D₄	—	2	8	no	—
576	C₂²×D₄	—	2	2	no	—
577	C₂²×D₄	—	2	4	no	—
578	C₂²×D₄	—	2	8	no	—
579	C₂²×D₄	—	2	8	no	—
580	C₂²×D₄	—	2	8	no	—
581	C₂²×D₄	—	2	8	no	—
582	C₂²×D₄	—	2	4	no	—
583	C₂²×D₄	—	2	4	no	—
584	C₂²×D₄	—	2	4	no	—
585	C₂²×D₄	—	2	4	no	—
586	C₂²×D₄	—	2	8	no	—
587	C₂²×D₄	—	2	4	no	—
588	C₂²×D₄	—	2	4	no	—
589	C₂²×D₄	—	2	1	no	—
590	C₂²×D₄	—	2	2	no	—
591	C₂²×D₄	—	2	4	no	—
592	C₂²×D₄	—	2	8	no	—
593	C₂²×D₄	—	4	16	no	—
594	C₂²×D₄	—	4	16	no	—
595	C₂²×D₄	—	4	32	no	—
596	C₂²×D₄	C₂×D₄	1	4	yes	—
597	C₂²×D₄	C₂×D₄	1	2	yes	—
598	C₂²×D₄	C₂⁴	1	4	yes	—
599	C₂²×D₄	C₂⁴	1	8	yes	—
600	C₂²×D₄	C₂⁴	1	8	yes	—
601	C₂²×D₄	C₂⁴	1	2	yes	—
602	C₂²×D₄	C₂⁴	1	2	yes	—
603	C₂³×C₄	—	2	4	no	—
604	C₂³×C₄	—	2	2	no	—
605	C₂³×C₄	—	2	2	no	—
606	C₂³×C₄	—	2	2	no	—
607	C₂³×C₄	C₂⁴	1	1	yes	characteristic
608	C₂³×C₄	C₂⁴	1	4	yes	—
609	#137	—	4	8	no	—
610	#137	—	4	8	no	—
611	#137	—	4	16	no	—
612	#137	—	4	16	no	—
613	AGL(1,ℤ/8)	—	2	16	no	—
614	AGL(1,ℤ/8)	—	4	16	no	—
615	AGL(1,ℤ/8)	—	4	16	no	—
616	#135	—	4	8	no	—
617	#135	—	4	8	no	—
618	#135	—	4	16	no	—
619	#135	—	4	16	no	—
620	C₂×Q₁₆	C₂⁴	1	4	yes	—
621	C₂×Q₁₆	C₂⁴	1	4	yes	—
622	C₂×Q₁₆	C₂⁴	1	8	yes	—
623	C₂×Q₁₆	C₂⁴	1	8	yes	—
624	C₂×SD₁₆	—	2	8	no	—
625	C₂×SD₁₆	—	2	8	no	—
626	C₂×SD₁₆	—	4	16	no	—
627	C₂×SD₁₆	—	4	16	no	—
628	C₂×SD₁₆	C₂⁴	1	4	yes	—
629	C₂×SD₁₆	C₂⁴	1	8	yes	—
630	C₂×SD₁₆	C₂⁴	1	4	yes	—
631	C₂×SD₁₆	C₂⁴	1	8	yes	—
632	C₂×SD₁₆	C₂⁴	1	4	yes	—
633	C₂×SD₁₆	C₂⁴	1	4	yes	—
634	C₂×SD₁₆	C₂⁴	1	8	yes	—
635	C₂×SD₁₆	C₂⁴	1	8	yes	—
636	C₂×SD₁₆	C₂⁴	1	4	yes	—
637	C₂×SD₁₆	C₂⁴	1	4	yes	—
638	C₂×D₈	C₂⁴	1	8	yes	—
639	C₂×D₈	C₂⁴	1	4	yes	—
640	C₂×D₈	C₂⁴	1	4	yes	—
641	#131	—	4	8	no	—
642	#131	—	4	8	no	—
643	C₂×M₁₆	C₂⁴	1	4	yes	—
644	C₂×M₁₆	C₂⁴	1	8	yes	—
645	C₂×M₁₆	C₂⁴	1	8	yes	—
646	C₂²×C₈	C₂⁴	1	2	yes	—
647	C₂²×C₈	C₂⁴	1	2	yes	—
648	C₂²×C₈	C₂⁴	1	8	yes	—
649	C₂²×C₈	C₂⁴	1	8	yes	—
650	C₄⋊Q₈	—	2	4	no	—
651	C₄⋊Q₈	—	2	4	no	—
652	C₄⋊Q₈	—	2	8	no	—
653	C₄⋊Q₈	—	2	8	no	—
654	C₄⋊Q₈	—	2	4	no	—
655	C₄⋊Q₈	—	2	2	no	—
656	C₄⋊Q₈	C₂×D₄	1	2	yes	—
657	C₄⋊Q₈	C₂×D₄	1	2	yes	—
658	C₄⋊Q₈	C₂⁴	1	4	yes	—
659	C₄⋊Q₈	C₂⁴	1	2	yes	—
660	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
661	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
662	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
663	C₄⋊Q₈	C₂⁴	1	2	yes	—
664	#127	—	2	4	no	—
665	#127	—	2	4	no	—
666	#127	C₂×D₄	1	2	yes	—
667	#127	C₂×D₄	1	2	yes	—
668	#127	C₂⁴	1	2	yes	—
669	#127	C₂⁴	1	1	yes	characteristic
670	#127	C₂⁴	1	1	yes	characteristic
671	#127	C₂⁴	1	1	yes	characteristic
672	#126	—	2	4	no	—
673	#126	—	2	8	no	—
674	#126	—	2	8	no	—
675	#126	—	2	8	no	—
676	#126	—	2	8	no	—
677	#126	—	2	4	no	—
678	#126	—	2	8	no	—
679	#126	—	2	8	no	—
680	#125	—	2	8	no	—
681	#125	—	2	8	no	—
682	#125	—	2	4	no	—
683	#125	—	2	4	no	—
684	#125	—	2	8	no	—
685	#125	—	2	8	no	—
686	#125	—	2	2	no	—
687	#125	C₂⁴	1	4	yes	—
688	#125	C₂⁴	1	2	yes	—
689	#124	—	2	4	no	—
690	#124	—	2	4	no	—
691	#124	—	2	4	no	—
692	#124	—	2	4	no	—
693	#124	—	2	8	no	—
694	#124	—	2	4	no	—
695	#124	—	2	8	no	—
696	#124	C₂×D₄	1	4	yes	—
697	#124	C₂×D₄	1	4	yes	—
698	#124	C₂⁴	1	2	yes	—
699	#124	C₂⁴	1	2	yes	—
700	#124	C₂⁴	1	2	yes	—
701	#124	C₂⁴	1	2	yes	—
702	#124	C₂⁴	1	2	yes	—
703	#123	—	2	8	no	—
704	#123	—	2	8	no	—
705	#123	—	2	8	no	—
706	#123	—	2	8	no	—
707	#123	—	2	8	no	—
708	#123	—	2	8	no	—
709	#123	—	2	4	no	—
710	#123	—	2	4	no	—
711	#123	—	2	2	no	—
712	#123	—	2	8	no	—
713	#123	—	2	8	no	—
714	#123	—	2	8	no	—
715	#123	—	2	8	no	—
716	#123	—	2	8	no	—
717	#123	—	2	4	no	—
718	#123	—	2	4	no	—
719	#123	—	2	4	no	—
720	#123	—	2	8	no	—
721	#123	—	2	8	no	—
722	#123	—	2	8	no	—
723	#123	—	2	8	no	—
724	#123	—	2	4	no	—
725	#123	—	2	8	no	—
726	#123	—	2	8	no	—
727	#123	—	2	8	no	—
728	#123	C₂×D₄	1	8	yes	—
729	#123	C₂×D₄	1	8	yes	—
730	C₂²⋊Q₈	—	2	4	no	—
731	C₂²⋊Q₈	—	2	4	no	—
732	C₂²⋊Q₈	—	2	4	no	—
733	C₂²⋊Q₈	—	2	8	no	—
734	C₂²⋊Q₈	—	2	4	no	—
735	C₂²⋊Q₈	—	2	8	no	—
736	C₂²⋊Q₈	—	2	8	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	4	no	—
739	C₂²⋊Q₈	—	2	4	no	—
740	C₂²⋊Q₈	—	2	4	no	—
741	C₂²⋊Q₈	—	2	8	no	—
742	C₂²⋊Q₈	—	2	8	no	—
743	C₂²⋊Q₈	—	2	8	no	—
744	C₂²⋊Q₈	—	2	8	no	—
745	C₂²⋊Q₈	—	2	8	no	—
746	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
747	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
748	C₂²⋊Q₈	C₂⁴	1	8	yes	—
749	C₂²⋊Q₈	C₂⁴	1	4	yes	—
750	C₂²⋊Q₈	C₂⁴	1	8	yes	—
751	C₂²⋊Q₈	C₂⁴	1	8	yes	—
752	C₂²⋊Q₈	C₂⁴	1	8	yes	—
753	C₂²⋊Q₈	C₂⁴	1	8	yes	—
754	C₂²⋊Q₈	C₂⁴	1	8	yes	—
755	#121	—	2	8	no	—
756	#121	—	2	8	no	—
757	#121	—	2	8	no	—
758	#121	—	2	4	no	—
759	#121	—	2	4	no	—
760	#121	—	2	4	no	—
761	#121	—	2	4	no	—
762	#121	—	2	4	no	—
763	#121	—	2	8	no	—
764	#121	—	2	8	no	—
765	#121	—	2	8	no	—
766	#121	—	2	8	no	—
767	#121	—	2	8	no	—
768	#121	—	2	8	no	—
769	#121	—	2	8	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	4	no	—
773	#121	—	2	2	no	—
774	#121	—	2	8	no	—
775	#121	—	2	4	no	—
776	#121	—	2	4	no	—
777	#121	—	2	4	no	—
778	#121	—	2	4	no	—
779	#121	—	2	8	no	—
780	#121	—	2	8	no	—
781	#121	—	2	8	no	—
782	#121	—	2	8	no	—
783	#121	—	2	4	no	—
784	#121	—	2	8	no	—
785	#121	C₂×D₄	1	4	yes	—
786	#121	C₂×D₄	1	4	yes	—
787	#121	C₂×D₄	1	8	yes	—
788	#121	C₂×D₄	1	8	yes	—
789	#121	C₂×D₄	1	8	yes	—
790	#121	C₂⁴	1	4	yes	—
791	#121	C₂⁴	1	8	yes	—
792	#121	C₂⁴	1	8	yes	—
793	#121	C₂⁴	1	8	yes	—
794	#120	—	2	4	no	—
795	#120	—	2	4	no	—
796	#120	—	2	2	no	—
797	#120	—	2	8	no	—
798	#120	—	2	8	no	—
799	#120	—	2	8	no	—
800	#120	—	2	8	no	—
801	#120	—	2	8	no	—
802	#120	—	2	8	no	—
803	#120	—	2	4	no	—
804	#120	—	2	4	no	—
805	#120	—	2	8	no	—
806	#120	—	2	8	no	—
807	#120	—	2	8	no	—
808	#120	—	2	8	no	—
809	#120	C₂×D₄	1	8	yes	—
810	#120	C₂×D₄	1	8	yes	—
811	C₄×Q₈	—	2	4	no	—
812	C₄×Q₈	—	2	4	no	—
813	C₄×Q₈	—	2	2	no	—
814	C₄×Q₈	—	2	2	no	—
815	C₄×Q₈	—	2	2	no	—
816	C₄×Q₈	C₂⁴	1	4	yes	—
817	C₄×Q₈	C₂⁴	1	4	yes	—
818	C₄×Q₈	C₂⁴	1	4	yes	—
819	C₄×D₄	—	2	8	no	—
820	C₄×D₄	—	2	4	no	—
821	C₄×D₄	—	2	4	no	—
822	C₄×D₄	—	2	8	no	—
823	C₄×D₄	—	2	4	no	—
824	C₄×D₄	—	2	4	no	—
825	C₄×D₄	—	2	8	no	—
826	C₄×D₄	—	2	8	no	—
827	C₄×D₄	—	2	4	no	—
828	C₄×D₄	—	2	8	no	—
829	C₄×D₄	—	2	8	no	—
830	C₄×D₄	—	2	8	no	—
831	C₄×D₄	—	2	8	no	—
832	C₄×D₄	—	2	4	no	—
833	C₄×D₄	—	2	8	no	—
834	C₄×D₄	—	2	8	no	—
835	C₄×D₄	—	2	4	no	—
836	C₄×D₄	—	2	2	no	—
837	C₄×D₄	—	2	2	no	—
838	C₄×D₄	—	2	4	no	—
839	C₄×D₄	—	2	2	no	—
840	C₄×D₄	—	2	2	no	—
841	C₄×D₄	—	2	2	no	—
842	C₄×D₄	C₂⁴	1	8	yes	—
843	C₄×D₄	C₂⁴	1	4	yes	—
844	C₄×D₄	C₂⁴	1	4	yes	—
845	C₄×D₄	C₂⁴	1	4	yes	—
846	C₄×D₄	C₂⁴	1	8	yes	—
847	C₄×D₄	C₂⁴	1	4	yes	—
848	C₄×D₄	C₂⁴	1	4	yes	—
849	#117	—	2	2	no	—
850	#117	—	2	8	no	—
851	#117	—	2	8	no	—
852	#117	—	2	2	no	—
853	#117	C₂×D₄	1	4	yes	—
854	#117	C₂⁴	1	4	yes	—
855	#117	C₂⁴	1	2	yes	—
856	#117	C₂⁴	1	8	yes	—
857	#117	C₂⁴	1	2	yes	—
858	#117	C₂⁴	1	2	yes	—
859	C₂×C₄⋊C₄	—	2	2	no	—
860	C₂×C₄⋊C₄	—	2	2	no	—
861	C₂×C₄⋊C₄	—	2	8	no	—
862	C₂×C₄⋊C₄	—	2	2	no	—
863	C₂×C₄⋊C₄	—	2	2	no	—
864	C₂×C₄⋊C₄	—	2	8	no	—
865	C₂×C₄⋊C₄	—	2	4	no	—
866	C₂×C₄⋊C₄	—	2	4	no	—
867	C₂×C₄⋊C₄	—	2	8	no	—
868	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
869	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
870	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
872	C₂×C₂²⋊C₄	—	2	1	no	—
873	C₂×C₂²⋊C₄	—	2	2	no	—
874	C₂×C₂²⋊C₄	—	2	8	no	—
875	C₂×C₂²⋊C₄	—	2	2	no	—
876	C₂×C₂²⋊C₄	—	2	2	no	—
877	C₂×C₂²⋊C₄	—	2	8	no	—
878	C₂×C₂²⋊C₄	—	2	8	no	—
879	C₂×C₂²⋊C₄	—	2	8	no	—
880	C₂×C₂²⋊C₄	—	2	8	no	—
881	C₂×C₂²⋊C₄	—	2	8	no	—
882	C₂×C₂²⋊C₄	—	2	8	no	—
883	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
884	C₂×C₄²	—	2	1	no	—
885	C₂×C₄²	—	2	2	no	—
886	C₂×C₄²	—	2	2	no	—
887	C₂×C₄²	C₂⁴	1	1	yes	characteristic
888	C₂×C₄²	C₂⁴	1	1	yes	characteristic
889	#107	C₂⁴	1	8	yes	—
890	#107	C₂⁴	1	8	yes	—
891	#106	C₂⁴	1	4	yes	—
892	#106	C₂⁴	1	4	yes	—
893	#106	C₂⁴	1	8	yes	—
894	C₄⋊C₈	C₂⁴	1	4	yes	—
895	C₄⋊C₈	C₂⁴	1	4	yes	—
896	C₄⋊C₈	C₂⁴	1	4	yes	—
897	C₄⋊C₈	C₂⁴	1	4	yes	—
898	#103	C₂⁴	1	4	yes	—
899	#103	C₂⁴	1	4	yes	—
900	#103	C₂⁴	1	8	yes	—
901	#103	C₂⁴	1	4	yes	—
902	#103	C₂⁴	1	4	yes	—
903	#103	C₂⁴	1	4	yes	—
904	#103	C₂⁴	1	4	yes	—
905	#103	C₂⁴	1	8	yes	—
906	#103	C₂⁴	1	8	yes	—
907	#103	C₂⁴	1	8	yes	—
908	#102	C₂⁴	1	4	yes	—
909	#102	C₂⁴	1	8	yes	—
910	#102	C₂⁴	1	4	yes	—
911	#102	C₂⁴	1	4	yes	—
912	#102	C₂⁴	1	4	yes	—
913	#102	C₂⁴	1	8	yes	—
914	#102	C₂⁴	1	8	yes	—
915	#102	C₂⁴	1	8	yes	—
916	#102	C₂⁴	1	8	yes	—
917	#102	C₂⁴	1	4	yes	—
918	#102	C₂⁴	1	4	yes	—
919	#102	C₂⁴	1	8	yes	—
920	C₂²⋊C₈	C₂⁴	1	4	yes	—
921	C₂²⋊C₈	C₂⁴	1	4	yes	—
922	C₂²⋊C₈	C₂⁴	1	8	yes	—
923	C₂²⋊C₈	C₂⁴	1	8	yes	—
924	C₂²⋊C₈	C₂⁴	1	8	yes	—
925	C₂²⋊C₈	C₂⁴	1	8	yes	—
926	C₂²⋊C₈	C₂⁴	1	8	yes	—
927	#97	C₂⁴	1	2	yes	—
928	#97	C₂⁴	1	2	yes	—
929	#97	C₂⁴	1	4	yes	—
930	C₄×C₈	C₂⁴	1	1	yes	characteristic
931	C₄×C₈	C₂⁴	1	2	yes	—
932	C₄×C₈	C₂⁴	1	1	yes	characteristic
933	C₄×C₈	C₂⁴	1	4	yes	—
934	C₂⁴	—	2	8	no	—
935	C₂⁴	—	2	4	no	—
936	C₂⁴	—	2	2	no	—
937	C₂⁴	—	2	8	no	—
938	C₂⁴	—	2	8	no	—
939	C₂⁴	—	2	2	no	—
940	C₂⁴	—	4	16	no	—
941	C₂⁴	—	16	2	no	—
942	C₂⁴	—	16	8	no	—
943	C₂⁴	C₂²×D₄	1	1	yes	characteristic
944	C₂⁴	C₂²×D₄	1	4	yes	—
945	#41	—	2	8	no	—
946	#41	—	2	8	no	—
947	#41	—	2	16	no	—
948	#41	—	2	16	no	—
949	#41	—	2	8	no	—
950	#41	—	2	8	no	—
951	#41	—	2	8	no	—
952	#41	—	4	8	no	—
953	#41	—	4	8	no	—
954	#41	—	4	8	no	—
955	#41	—	4	8	no	—
956	#41	—	4	8	no	—
957	#41	—	4	4	no	—
958	#41	—	4	4	no	—
959	#41	—	4	8	no	—
960	#41	—	4	8	no	—
961	#41	—	4	8	no	—
962	#41	—	4	8	no	—
963	#41	—	4	16	no	—
964	#41	—	4	16	no	—
965	#41	—	4	32	no	—
966	#41	—	4	16	no	—
967	#41	—	4	16	no	—
968	#41	—	8	16	no	—
969	#41	—	8	8	no	—
970	C₂×Q₈	—	2	2	no	—
971	C₂×Q₈	—	2	2	no	—
972	C₂×Q₈	—	2	2	no	—
973	C₂×Q₈	—	2	8	no	—
974	C₂×Q₈	—	2	4	no	—
975	C₂×Q₈	—	2	4	no	—
976	C₂×Q₈	—	4	4	no	—
977	C₂×Q₈	—	4	4	no	—
978	C₂×Q₈	—	4	8	no	—
979	C₂×Q₈	—	4	8	no	—
980	C₂×Q₈	—	8	8	no	—
981	C₂×Q₈	C₂²×D₄	1	4	yes	—
982	C₂×Q₈	C₂²×D₄	1	4	yes	—
983	C₂×Q₈	C₂⁵	1	2	yes	—
984	C₂×Q₈	C₂⁵	1	2	yes	—
985	C₂×Q₈	C₂⁵	1	2	yes	—
986	C₂×Q₈	C₂⁵	1	4	yes	—
987	C₂×D₄	—	2	16	no	—
988	C₂×D₄	—	2	8	no	—
989	C₂×D₄	—	2	16	no	—
990	C₂×D₄	—	2	16	no	—
991	C₂×D₄	—	2	16	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	2	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	8	no	—
996	C₂×D₄	—	2	8	no	—
997	C₂×D₄	—	2	2	no	—
998	C₂×D₄	—	2	2	no	—
999	C₂×D₄	—	2	4	no	—
1000	C₂×D₄	—	2	8	no	—
1001	C₂×D₄	—	2	8	no	—
1002	C₂×D₄	—	2	8	no	—
1003	C₂×D₄	—	2	8	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	2	no	—
1006	C₂×D₄	—	2	8	no	—
1007	C₂×D₄	—	2	8	no	—
1008	C₂×D₄	—	2	2	no	—
1009	C₂×D₄	—	2	2	no	—
1010	C₂×D₄	—	2	2	no	—
1011	C₂×D₄	—	2	2	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	2	4	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	8	no	—
1017	C₂×D₄	—	4	8	no	—
1018	C₂×D₄	—	4	8	no	—
1019	C₂×D₄	—	4	16	no	—
1020	C₂×D₄	—	4	16	no	—
1021	C₂×D₄	—	4	32	no	—
1022	C₂×D₄	—	4	32	no	—
1023	C₂×D₄	—	4	32	no	—
1024	C₂×D₄	—	4	16	no	—
1025	C₂×D₄	—	4	16	no	—
1026	C₂×D₄	—	4	16	no	—
1027	C₂×D₄	—	4	16	no	—
1028	C₂×D₄	—	4	8	no	—
1029	C₂×D₄	—	4	32	no	—
1030	C₂×D₄	—	4	32	no	—
1031	C₂×D₄	—	16	8	no	—
1032	C₂×D₄	—	16	4	no	—
1033	C₂×D₄	—	16	4	no	—
1034	C₂×D₄	C₂²×D₄	1	8	yes	—
1035	C₂×D₄	C₂²×D₄	1	4	yes	—
1036	C₂×D₄	C₂²×D₄	1	8	yes	—
1037	C₂×D₄	C₂²×D₄	1	4	yes	—
1038	C₂×D₄	C₂²×D₄	1	4	yes	—
1039	C₂×D₄	C₂²×D₄	1	8	yes	—
1040	C₂×D₄	C₂²×D₄	1	4	yes	—
1041	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1042	C₂×D₄	C₂⁵	1	2	yes	—
1043	C₂×D₄	C₂⁵	1	2	yes	—
1044	C₂×D₄	C₂⁵	1	2	yes	—
1045	C₂×D₄	C₂⁵	1	4	yes	—
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	8	no	—
1052	C₂²×C₄	—	2	8	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	—	2	8	no	—
1055	C₂²×C₄	—	2	8	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	2	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	4	no	—
1061	C₂²×C₄	—	2	4	no	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	2	8	no	—
1064	C₂²×C₄	—	2	8	no	—
1065	C₂²×C₄	—	4	8	no	—
1066	C₂²×C₄	—	4	8	no	—
1067	C₂²×C₄	—	4	16	no	—
1068	C₂²×C₄	—	16	2	no	—
1069	C₂²×C₄	—	16	2	no	—
1070	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1071	C₂²×C₄	C₂²×D₄	1	2	yes	—
1072	C₂²×C₄	C₂²×D₄	1	2	yes	—
1073	C₂²×C₄	C₂²×D₄	1	2	yes	—
1074	C₂²×C₄	C₂²×D₄	1	8	yes	—
1075	C₂²×C₄	C₂²×D₄	1	4	yes	—
1076	C₂²×C₄	C₂⁵	1	2	yes	—
1077	C₂²×C₄	C₂⁵	1	8	yes	—
1078	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1079	Q₁₆	—	4	4	no	—
1080	Q₁₆	—	4	4	no	—
1081	Q₁₆	—	4	8	no	—
1082	Q₁₆	—	4	8	no	—
1083	SD₁₆	—	2	8	no	—
1084	SD₁₆	—	2	16	no	—
1085	SD₁₆	—	2	8	no	—
1086	SD₁₆	—	2	16	no	—
1087	SD₁₆	—	4	4	no	—
1088	SD₁₆	—	4	4	no	—
1089	SD₁₆	—	4	8	no	—
1090	SD₁₆	—	4	8	no	—
1091	SD₁₆	—	4	4	no	—
1092	SD₁₆	—	4	4	no	—
1093	D₈	—	2	16	no	—
1094	D₈	—	4	4	no	—
1095	D₈	—	4	4	no	—
1096	M₁₆	—	2	8	no	—
1097	M₁₆	—	4	8	no	—
1098	M₁₆	—	4	8	no	—
1099	C₂×C₈	—	2	4	no	—
1100	C₂×C₈	—	2	4	no	—
1101	C₂×C₈	—	4	8	no	—
1102	C₂×C₈	—	4	8	no	—
1103	C₂×C₈	C₂⁵	1	2	yes	—
1104	C₂×C₈	C₂⁵	1	2	yes	—
1105	C₂×C₈	C₂⁵	1	8	yes	—
1106	C₂×C₈	C₂⁵	1	4	yes	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	2	4	no	—
1110	C₄⋊C₄	—	2	8	no	—
1111	C₄⋊C₄	—	2	8	no	—
1112	C₄⋊C₄	—	2	8	no	—
1113	C₄⋊C₄	—	2	8	no	—
1114	C₄⋊C₄	—	2	4	no	—
1115	C₄⋊C₄	—	2	8	no	—
1116	C₄⋊C₄	—	2	8	no	—
1117	C₄⋊C₄	—	2	8	no	—
1118	C₄⋊C₄	—	2	8	no	—
1119	C₄⋊C₄	—	2	4	no	—
1120	C₄⋊C₄	—	2	4	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	8	no	—
1124	C₄⋊C₄	—	2	4	no	—
1125	C₄⋊C₄	—	2	4	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1129	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1130	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1131	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1132	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1133	C₄⋊C₄	C₂⁵	1	4	yes	—
1134	C₄⋊C₄	C₂⁵	1	4	yes	—
1135	C₄⋊C₄	C₂⁵	1	4	yes	—
1136	C₂²⋊C₄	—	2	4	no	—
1137	C₂²⋊C₄	—	2	8	no	—
1138	C₂²⋊C₄	—	2	8	no	—
1139	C₂²⋊C₄	—	2	8	no	—
1140	C₂²⋊C₄	—	2	4	no	—
1141	C₂²⋊C₄	—	2	8	no	—
1142	C₂²⋊C₄	—	2	8	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	8	no	—
1145	C₂²⋊C₄	—	2	8	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	8	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	8	no	—
1154	C₂²⋊C₄	—	2	8	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	8	no	—
1157	C₂²⋊C₄	—	2	4	no	—
1158	C₂²⋊C₄	—	2	4	no	—
1159	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1160	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1161	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1162	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1163	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1164	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1165	C₄²	—	2	4	no	—
1166	C₄²	—	2	4	no	—
1167	C₄²	—	2	4	no	—
1168	C₄²	—	2	2	no	—
1169	C₄²	—	2	4	no	—
1170	C₄²	—	2	8	no	—
1171	C₄²	C₂²×D₄	1	2	yes	—
1172	C₄²	C₂²×D₄	1	2	yes	—
1173	C₄²	C₂⁵	1	2	yes	—
1174	C₄²	C₂⁵	1	1	yes	characteristic
1175	C₄²	C₂⁵	1	1	yes	characteristic
1176	C₂³	—	2	16	no	—
1177	C₂³	—	2	4	no	—
1178	C₂³	—	2	2	no	—
1179	C₂³	—	2	8	no	—
1180	C₂³	—	2	2	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	2	no	—
1183	C₂³	—	4	4	no	—
1184	C₂³	—	4	2	no	—
1185	C₂³	—	4	8	no	—
1186	C₂³	—	4	16	no	—
1187	C₂³	—	4	16	no	—
1188	C₂³	—	4	4	no	—
1189	C₂³	—	8	2	no	—
1190	C₂³	—	8	2	no	—
1191	C₂³	—	8	8	no	—
1192	C₂³	—	8	4	no	—
1193	C₂³	—	8	8	no	—
1194	C₂³	—	8	8	no	—
1195	C₂³	—	8	8	no	—
1196	C₂³	—	8	8	no	—
1197	C₂³	—	16	8	no	—
1198	C₂³	—	16	32	no	—
1199	C₂³	C₂³×D₄	1	2	yes	—
1200	C₂³	C₂³×D₄	1	8	yes	—
1201	C₂³	C₂³×D₄	1	1	yes	characteristic
1202	Q₈	—	2	8	no	—
1203	Q₈	—	2	4	no	—
1204	Q₈	—	2	4	no	—
1205	Q₈	—	2	4	no	—
1206	Q₈	—	2	4	no	—
1207	Q₈	—	2	4	no	—
1208	Q₈	—	4	4	no	—
1209	Q₈	—	4	4	no	—
1210	Q₈	—	4	4	no	—
1211	Q₈	—	8	2	no	—
1212	Q₈	—	8	8	no	—
1213	D₄	—	2	16	no	—
1214	D₄	—	2	16	no	—
1215	D₄	—	2	4	no	—
1216	D₄	—	2	4	no	—
1217	D₄	—	2	4	no	—
1218	D₄	—	2	4	no	—
1219	D₄	—	2	8	no	—
1220	D₄	—	2	8	no	—
1221	D₄	—	4	4	no	—
1222	D₄	—	4	8	no	—
1223	D₄	—	4	8	no	—
1224	D₄	—	4	4	no	—
1225	D₄	—	4	4	no	—
1226	D₄	—	4	16	no	—
1227	D₄	—	4	16	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	16	no	—
1230	D₄	—	4	16	no	—
1231	D₄	—	4	4	no	—
1232	D₄	—	4	4	no	—
1233	D₄	—	4	4	no	—
1234	D₄	—	4	4	no	—
1235	D₄	—	4	4	no	—
1236	D₄	—	8	2	no	—
1237	D₄	—	8	4	no	—
1238	D₄	—	8	2	no	—
1239	D₄	—	8	2	no	—
1240	D₄	—	8	8	no	—
1241	D₄	—	8	4	no	—
1242	D₄	—	8	8	no	—
1243	D₄	—	8	8	no	—
1244	D₄	—	8	8	no	—
1245	D₄	C₂×H(5,𝔽₂)	1	8	yes	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	8	no	—
1248	C₂×C₄	—	2	8	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	8	no	—
1260	C₂×C₄	—	4	2	no	—
1261	C₂×C₄	—	4	2	no	—
1262	C₂×C₄	—	4	16	no	—
1263	C₂×C₄	—	4	16	no	—
1264	C₂×C₄	—	4	4	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	4	4	no	—
1268	C₂×C₄	—	4	4	no	—
1269	C₂×C₄	—	4	4	no	—
1270	C₂×C₄	—	4	4	no	—
1271	C₂×C₄	—	8	4	no	—
1272	C₂×C₄	—	8	8	no	—
1273	C₂×C₄	—	8	4	no	—
1274	C₂×C₄	—	8	4	no	—
1275	C₂×C₄	—	8	8	no	—
1276	C₂×C₄	—	8	2	no	—
1277	C₂×C₄	—	8	8	no	—
1278	C₂×C₄	—	8	2	no	—
1279	C₂×C₄	—	8	8	no	—
1280	C₂×C₄	C₂³×D₄	1	2	yes	—
1281	C₂×C₄	C₂³×D₄	1	2	yes	—
1282	C₂×C₄	C₂³×D₄	1	2	yes	—
1283	C₂×C₄	C₂³×D₄	1	4	yes	—
1284	C₂×C₄	C₂³×D₄	1	8	yes	—
1285	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1286	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1287	C₂×C₄	C₂⁶	1	1	yes	characteristic
1288	C₈	—	2	2	no	—
1289	C₈	—	2	4	no	—
1290	C₈	—	2	2	no	—
1291	C₈	—	2	8	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	8	no	—
1295	C₂²	—	2	8	no	—
1296	C₂²	—	2	8	no	—
1297	C₂²	—	2	8	no	—
1298	C₂²	—	2	4	no	—
1299	C₂²	—	4	4	no	—
1300	C₂²	—	4	4	no	—
1301	C₂²	—	4	2	no	—
1302	C₂²	—	4	2	no	—
1303	C₂²	—	4	2	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	4	no	—
1307	C₂²	—	8	2	no	—
1308	C₂²	—	8	8	no	—
1309	C₂²	—	8	16	no	—
1310	C₂²	—	8	8	no	—
1311	C₂²	—	8	8	no	—
1312	C₂²	—	16	16	no	—
1313	C₂²	—	16	16	no	—
1314	C₂²	#3484	1	2	yes	—
1315	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1316	C₄	—	2	2	no	—
1317	C₄	—	2	8	no	—
1318	C₄	—	2	4	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	4	2	no	—
1322	C₄	—	4	2	no	—
1323	C₄	—	4	2	no	—
1324	C₄	—	4	4	no	—
1325	C₄	—	4	4	no	—
1326	C₄	—	4	4	no	—
1327	C₄	—	4	4	no	—
1328	C₄	#3484	1	2	yes	—
1329	C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1330	C₂	—	2	2	no	—
1331	C₂	—	4	2	no	—
1332	C₂	—	4	8	no	—
1333	C₂	—	4	8	no	—
1334	C₂	—	8	2	no	—
1335	C₂	—	8	2	no	—
1336	C₂	—	8	2	no	—
1337	C₂	C₂×#3484	1	1	yes	characteristic
1338	C₂	#63092	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂⁴×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #3449 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62888	C₂	semidirect
2. #62842	C₂	semidirect
3. #61649	C₂	semidirect
4. #61643	C₂	semidirect
5. #61635	C₂	semidirect
6. #61631	C₂	semidirect
7. #61613	C₂	semidirect
8. #61610	C₂	semidirect
9. #61219	C₂	semidirect
10. #61212	C₂	semidirect
11. #61201	C₂	semidirect
12. #61094	C₂	semidirect
13. #61085	C₂	semidirect
14. #61080	C₂	semidirect
15. #60809	C₂	semidirect
16. #60797	C₂	semidirect
17. #60766	C₂	semidirect
18. #60564	C₂	semidirect
19. C₂×#3123	C₂	semidirect
20. #60373	C₂	semidirect
21. #60238	C₂	semidirect
23. C₂×#577	C₂²	semidirect
24. C₂×#577	C₂²	semidirect
29. #3541	C₂²	semidirect
30. #3539	C₂²	semidirect
31. #3538	C₂²	semidirect
32. #3512	C₂²	semidirect
33. #3507	C₂²	semidirect
34. #3499	C₂²	semidirect
35. #3497	C₂²	semidirect
40. #3489	C₂²	semidirect
47. #3455	C₂²	semidirect
48. C₂×#541	C₂²	semidirect
54. #3331	C₂²	semidirect
55. #3324	C₂²	semidirect
56. #3323	C₂²	semidirect
57. #3323	C₂²	semidirect
58. #3322	C₂²	semidirect
59. #3318	C₂²	semidirect
60. #3315	C₂²	semidirect
61. #3315	C₂²	semidirect
62. #3314	C₂²	semidirect
63. #3311	C₂²	semidirect
64. #3310	C₂²	semidirect
65. #3310	C₂²	semidirect
66. #3307	C₂²	semidirect
67. #3302	C₂²	semidirect
68. #3297	C₂²	semidirect
69. #3296	C₂²	semidirect
70. #3296	C₂²	semidirect
71. #3295	C₂²	semidirect
72. #3284	C₂²	semidirect
73. #3283	C₂²	semidirect
74. #3282	C₂²	semidirect
75. D₄×SD₁₆	C₂²	semidirect
76. D₄×SD₁₆	C₂²	semidirect
77. #3276	C₂²	semidirect
78. #3276	C₂²	semidirect
79. #3275	C₂²	semidirect
80. #3274	C₂²	semidirect
81. #3272	C₂²	semidirect
82. #3269	C₂²	semidirect
83. #3268	C₂²	semidirect
84. #3267	C₂²	semidirect
85. #3267	C₂²	semidirect
86. #3266	C₂²	semidirect
87. #3266	C₂²	semidirect
88. #3266	C₂²	semidirect
89. #3265	C₂²	semidirect
90. #3225	C₂²	semidirect
91. #3224	C₂²	semidirect
92. #3223	C₂²	semidirect
93. #3223	C₂²	semidirect
94. #3223	C₂²	semidirect
95. #3222	C₂²	semidirect
96. #3222	C₂²	semidirect
97. #3222	C₂²	semidirect
98. #3221	C₂²	semidirect
99. #3220	C₂²	semidirect
100. #3202	C₂²	semidirect
101. #3201	C₂²	semidirect
102. #3200	C₂²	semidirect
103. #3198	C₂²	semidirect
104. #3197	C₂²	semidirect
105. #3196	C₂²	semidirect
106. #3191	C₂²	semidirect
107. #3190	C₂²	semidirect
108. #3152	C₂²	semidirect
109. #3150	C₂²	semidirect
110. #3147	C₂²	semidirect
111. #3142	C₂²	semidirect
112. #3135	C₂²	semidirect
113. #3131	C₂²	semidirect
114. #3123	C₂²	semidirect
115. #3123	C₂²	semidirect
116. #3123	C₂²	semidirect
117. #3123	C₂²	semidirect
118. #3122	C₂²	semidirect
119. #3118	C₂²	semidirect
120. #3099	C₂²	semidirect
121. #3098	C₂²	semidirect
122. #3093	C₂²	semidirect
123. C₂×#485	C₂²	semidirect
124. #3077	C₂²	semidirect
125. C₂×#478	C₂²	semidirect
126. #3063	C₂²	semidirect
127. #3063	C₂²	semidirect
128. #3061	C₂²	semidirect
129. #3060	C₂²	semidirect
130. #3037	C₂²	semidirect
131. #3037	C₂²	semidirect
132. #3036	C₂²	semidirect
133. #3035	C₂²	semidirect
134. C₂×#461	C₂²	semidirect
135. #3013	C₂²	semidirect
136. #3013	C₂²	semidirect
137. #3012	C₂²	semidirect
138. #3012	C₂²	semidirect
139. #3012	C₂²	semidirect
140. #3012	C₂²	semidirect
141. #3009	C₂²	semidirect
142. #3009	C₂²	semidirect
143. #3009	C₂²	semidirect
144. #3009	C₂²	semidirect
145. #3007	C₂²	semidirect
146. #3007	C₂²	semidirect
148. #3003	C₂²	semidirect
149. #3002	C₂²	semidirect
150. #3002	C₂²	semidirect
152. C₂×#450	C₂²	semidirect
153. #2978	C₂²	semidirect
154. #2977	C₂²	semidirect
155. #2976	C₂²	semidirect
156. C₄×AGL(1,ℤ/8)	C₂²	semidirect
157. C₂×#440	C₂²	semidirect
158. C₂×C₄×SD₁₆	C₂²	semidirect
159. #2935	C₂²	semidirect
160. #2932	C₂²	semidirect
161. #2931	C₂²	semidirect
162. #2921	C₂²	semidirect
163. C₂×#433	C₂²	semidirect
164. #2897	C₂²	semidirect
165. #2897	C₂²	semidirect
166. #2880	C₂²	semidirect
167. C₂×2₋¹⁺⁴	C₂³	semidirect
185. C₂×#137	C₂³	semidirect
186. C₂×#137	C₂³	semidirect
187. C₂×#137	C₂³	semidirect
188. C₂×#137	C₂³	semidirect
190. C₂×AGL(1,ℤ/8)	C₂³	semidirect
191. C₂×AGL(1,ℤ/8)	C₂³	semidirect
192. C₂×#135	C₂³	semidirect
193. C₂×#135	C₂³	semidirect
194. C₂×#135	C₂³	semidirect
195. C₂×#135	C₂³	semidirect
198. C₂²×SD₁₆	C₂³	semidirect
199. C₂²×SD₁₆	C₂³	semidirect
200. C₂×#131	C₂³	semidirect
201. C₂×#131	C₂³	semidirect
209. #556	C₂³	semidirect
211. #554	C₂³	semidirect
215. #553	C₂³	semidirect
216. #552	C₂³	semidirect
217. #552	C₂³	semidirect
220. #550	C₂³	semidirect
223. D₄×Q₈	C₂³	semidirect
224. D₄×Q₈	C₂³	semidirect
227. #548	C₂³	semidirect
239. #547	C₂³	semidirect
264. #542	C₂³	semidirect
267. #541	C₂³	semidirect
268. #541	C₂³	semidirect
269. #541	C₂³	semidirect
272. #540	C₂³	semidirect
287. #537	C₂³	semidirect
295. #536	C₂³	semidirect
311. #533	C₂³	semidirect
320. #532	C₂³	semidirect
322. C₂×C₄⋊Q₈	C₂³	semidirect
328. C₂×#125	C₂³	semidirect
336. #525	C₂³	semidirect
340. C₂×C₂²⋊Q₈	C₂³	semidirect
346. #520	C₂³	semidirect
350. C₄×#41	C₂³	semidirect
351. C₂×C₄×Q₈	C₂³	semidirect
358. #497	C₂³	semidirect
359. #497	C₂³	semidirect
360. #497	C₂³	semidirect
361. #497	C₂³	semidirect
362. #496	C₂³	semidirect
363. #496	C₂³	semidirect
364. #495	C₂³	semidirect
365. #494	C₂³	semidirect
366. #494	C₂³	semidirect
367. #493	C₂³	semidirect
368. #492	C₂³	semidirect
369. #492	C₂³	semidirect
370. #492	C₂³	semidirect
371. #491	C₂³	semidirect
372. #491	C₂³	semidirect
373. #490	C₂³	semidirect
374. #490	C₂³	semidirect
375. #489	C₂³	semidirect
376. #488	C₂³	semidirect
377. #488	C₂³	semidirect
378. #488	C₂³	semidirect
379. #488	C₂³	semidirect
380. #487	C₂³	semidirect
381. #486	C₂³	semidirect
382. #485	C₂³	semidirect
383. #485	C₂³	semidirect
384. #485	C₂³	semidirect
385. #485	C₂³	semidirect
386. #485	C₂³	semidirect
387. #484	C₂³	semidirect
388. #483	C₂³	semidirect
389. #482	C₂³	semidirect
390. #482	C₂³	semidirect
391. #482	C₂³	semidirect
392. #481	C₂³	semidirect
393. #480	C₂³	semidirect
394. #478	C₂³	semidirect
395. #478	C₂³	semidirect
396. #478	C₂³	semidirect
397. #476	C₂³	semidirect
398. #474	C₂³	semidirect
399. #470	C₂³	semidirect
400. #470	C₂³	semidirect
401. #470	C₂³	semidirect
402. #469	C₂³	semidirect
403. #468	C₂³	semidirect
404. #468	C₂³	semidirect
405. #468	C₂³	semidirect
406. #468	C₂³	semidirect
407. #467	C₂³	semidirect
408. #467	C₂³	semidirect
409. #467	C₂³	semidirect
410. #466	C₂³	semidirect
411. #465	C₂³	semidirect
412. #465	C₂³	semidirect
413. #465	C₂³	semidirect
414. #465	C₂³	semidirect
415. #464	C₂³	semidirect
416. #464	C₂³	semidirect
417. #464	C₂³	semidirect
418. #464	C₂³	semidirect
419. #463	C₂³	semidirect
420. #463	C₂³	semidirect
421. #463	C₂³	semidirect
422. #462	C₂³	semidirect
423. #462	C₂³	semidirect
424. #462	C₂³	semidirect
425. #461	C₂³	semidirect
426. #461	C₂³	semidirect
427. #461	C₂³	semidirect
428. #461	C₂³	semidirect
429. #460	C₂³	semidirect
430. #460	C₂³	semidirect
431. #460	C₂³	semidirect
432. #459	C₂³	semidirect
433. #459	C₂³	semidirect
438. #452	C₂³	semidirect
439. #452	C₂³	semidirect
440. #452	C₂³	semidirect
441. #452	C₂³	semidirect
442. #452	C₂³	semidirect
443. #452	C₂³	semidirect
444. #452	C₂³	semidirect
445. #452	C₂³	semidirect
446. #451	C₂³	semidirect
447. #451	C₂³	semidirect
448. #451	C₂³	semidirect
449. #451	C₂³	semidirect
453. #450	C₂³	semidirect
454. #450	C₂³	semidirect
455. #450	C₂³	semidirect
456. #450	C₂³	semidirect
457. #450	C₂³	semidirect
458. #450	C₂³	semidirect
459. #450	C₂³	semidirect
460. #450	C₂³	semidirect
463. #449	C₂³	semidirect
464. #449	C₂³	semidirect
465. #449	C₂³	semidirect
466. #449	C₂³	semidirect
467. #448	C₂³	semidirect
468. #448	C₂³	semidirect
469. #448	C₂³	semidirect
471. #447	C₂³	semidirect
472. #447	C₂³	semidirect
473. #447	C₂³	semidirect
474. #442	C₂³	semidirect
475. #440	C₂³	semidirect
476. #440	C₂³	semidirect
477. #440	C₂³	semidirect
478. C₄×SD₁₆	C₂³	semidirect
479. C₄×SD₁₆	C₂³	semidirect
480. C₄×SD₁₆	C₂³	semidirect
481. C₄×SD₁₆	C₂³	semidirect
482. C₄×SD₁₆	C₂³	semidirect
483. C₄×D₈	C₂³	semidirect
484. #436	C₂³	semidirect
485. #436	C₂³	semidirect
486. #436	C₂³	semidirect
487. #435	C₂³	semidirect
488. #435	C₂³	semidirect
489. #435	C₂³	semidirect
490. #435	C₂³	semidirect
491. C₈×D₄	C₂³	semidirect
492. C₈×D₄	C₂³	semidirect
493. C₈×D₄	C₂³	semidirect
494. #433	C₂³	semidirect
495. #433	C₂³	semidirect
496. #433	C₂³	semidirect
497. #433	C₂³	semidirect
498. #433	C₂³	semidirect
499. #428	C₂³	semidirect
500. C₂×#107	C₂³	semidirect
501. C₂×#106	C₂³	semidirect
502. #423	C₂³	semidirect
503. C₂×C₄⋊C₈	C₂³	semidirect
505. #418	C₂³	semidirect
506. #418	C₂³	semidirect
507. #417	C₂³	semidirect
508. #417	C₂³	semidirect
509. #417	C₂³	semidirect
510. #417	C₂³	semidirect
511. #417	C₂³	semidirect
512. #416	C₂³	semidirect
513. #416	C₂³	semidirect
514. #416	C₂³	semidirect
515. #416	C₂³	semidirect
516. C₂×#103	C₂³	semidirect
517. C₂×#103	C₂³	semidirect
520. C₂×#102	C₂³	semidirect
521. C₂×#102	C₂³	semidirect
524. #408	C₂³	semidirect
525. #408	C₂³	semidirect
527. #407	C₂³	semidirect
529. C₂×C₂²⋊C₈	C₂³	semidirect
530. C₄×M₁₆	C₂³	semidirect
531. C₂×#97	C₂³	semidirect
532. C₂×C₄×C₈	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#62888	2
#62842	2
#61649	2
#61643	2
#61635	2
#61631	2
#61613	2
#61610	2
#61219	2
#61212	2
#61201	2
#61094	2
#61085	2
#61080	2
#60809	2
#60797	2
#60766	2
#60564	2
C₂×#3123	2
#60373	2
#60238	2