Subgroups — #10583800

Order 512.

7522 conjugacy classes of subgroups.

The subgroup lattice has 1499 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62992	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	#62576	C₂	1	4	yes	maximal, complemented
4	#62535	C₂	1	2	yes	maximal, complemented
5	#62299	C₂	1	4	yes	maximal, complemented
6	#62253	C₂	1	4	yes	maximal, complemented
7	#62245	C₂	1	1	yes	maximal, characteristic, complemented
8	#62137	C₂	1	4	yes	maximal, complemented
9	#62110	C₂	1	2	yes	maximal, complemented
10	#61979	C₂	1	4	yes	maximal, complemented
11	#61963	C₂	1	2	yes	maximal, complemented
12	#61733	C₂	1	4	yes	maximal, complemented
13	#61707	C₂	1	4	yes	maximal, complemented
14	#61697	C₂	1	1	yes	maximal, characteristic, complemented
15	#61591	C₂	1	4	yes	maximal, complemented
16	#61571	C₂	1	4	yes	maximal, complemented
17	#61559	C₂	1	1	yes	maximal, characteristic, complemented
18	#61451	C₂	1	4	yes	maximal, complemented
19	#61439	C₂	1	2	yes	maximal, complemented
20	#61155	C₂	1	4	yes	maximal, complemented
21	C₂×#3318	C₂	1	4	yes	maximal, complemented
22	C₂×#3295	C₂	1	1	yes	maximal, characteristic, complemented
23	#60309	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×H(5,𝔽₂)	—	2	1	no	—
25	#3521	—	2	4	no	—
26	#3519	C₂²	1	4	yes	complemented
27	#3515	C₂²	1	4	yes	complemented
28	#3513	—	2	4	no	—
29	#3512	—	2	2	no	—
30	#3511	C₂²	1	2	yes	complemented
31	#3505	—	2	4	no	—
32	#3505	C₂²	1	4	yes	complemented
33	#3498	C₂²	1	2	yes	complemented
34	#3498	C₂²	1	4	yes	complemented
35	#3496	—	2	1	no	—
36	#3496	C₂²	1	1	yes	characteristic
37	#3496	C₂²	1	4	yes	complemented
38	#3496	C₂²	1	4	yes	complemented
39	#3496	C₂²	1	1	yes	characteristic, complemented
40	#3488	—	2	2	no	—
41	#3488	—	2	4	no	—
42	#3484	—	2	1	no	—
43	#3484	—	2	4	no	—
44	#3484	—	2	4	no	—
45	#3481	C₂²	1	4	yes	complemented
46	#3480	C₂²	1	2	yes	complemented
47	#3475	C₂²	1	4	yes	complemented
48	C₂×#554	C₂²	1	1	yes	characteristic, complemented
49	C₂×#553	C₂²	1	4	yes	complemented
50	D₄×#41	C₂²	1	4	yes	complemented
51	D₄×#41	C₂²	1	2	yes	complemented
52	C₂×D₄²	C₂²	1	1	yes	characteristic
53	C₂×D₄²	C₂²	1	4	yes	complemented
54	C₂×D₄²	C₂²	1	4	yes	complemented
55	C₄×H(5,𝔽₂)	—	2	1	no	—
56	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
57	#3399	C₂²	1	4	yes	complemented
58	#3399	C₂²	1	2	yes	complemented
59	#3386	C₂²	1	2	yes	complemented
60	#3384	C₂²	1	4	yes	complemented
61	#3373	C₂²	1	2	yes	complemented
62	#3368	C₂²	1	4	yes	complemented
63	#3368	C₂²	1	2	yes	complemented
64	#3366	C₂²	1	4	yes	complemented
65	#3366	C₂²	1	4	yes	complemented
66	#3366	C₂²	1	4	yes	complemented
67	#3354	C₂²	1	4	yes	complemented
68	#3353	C₂²	1	2	yes	complemented
69	#3345	C₂²	1	8	yes	complemented
70	#3345	C₂²	1	4	yes	complemented
71	#3345	C₂²	1	8	yes	complemented
72	#3345	C₂²	1	8	yes	complemented
73	#3343	C₂²	1	8	yes	complemented
74	#3335	C₂²	1	4	yes	complemented
75	#3335	C₂²	1	4	yes	complemented
76	#3334	C₂²	1	4	yes	complemented
77	#3332	C₂²	1	2	yes	complemented
78	#3325	C₂²	1	4	yes	complemented
79	#3325	C₂²	1	4	yes	complemented
80	#3325	C₂²	1	4	yes	complemented
81	#3324	C₂²	1	2	yes	complemented
82	#3324	C₂²	1	4	yes	complemented
83	#3318	C₂²	1	8	yes	complemented
84	#3318	C₂²	1	8	yes	complemented
85	#3318	C₂²	1	8	yes	complemented
86	#3318	C₂²	1	4	yes	complemented
87	#3318	C₂²	1	8	yes	complemented
88	#3318	C₂²	1	8	yes	complemented
89	#3318	C₂²	1	8	yes	complemented
90	#3318	C₂²	1	8	yes	complemented
91	#3318	C₂²	1	8	yes	complemented
92	#3318	C₂²	1	8	yes	complemented
93	#3318	C₂²	1	8	yes	complemented
94	#3310	C₂²	1	8	yes	complemented
95	#3310	C₂²	1	8	yes	complemented
96	#3310	C₂²	1	8	yes	complemented
97	#3308	C₂²	1	4	yes	complemented
98	#3306	C₂²	1	8	yes	complemented
99	#3295	C₂²	1	4	yes	complemented
100	#3295	C₂²	1	4	yes	complemented
101	#3295	C₂²	1	4	yes	complemented
102	#3295	C₂²	1	4	yes	complemented
103	#3295	C₂²	1	4	yes	complemented
104	#3295	C₂²	1	4	yes	complemented
105	#3294	C₂²	1	4	yes	complemented
106	#3294	C₂²	1	4	yes	complemented
107	#3294	C₂²	1	4	yes	complemented
108	#3294	C₂²	1	4	yes	complemented
109	D₄×D₈	C₂²	1	4	yes	complemented
110	D₄×D₈	C₂²	1	4	yes	complemented
111	D₄×D₈	C₂²	1	4	yes	complemented
112	#3274	C₂²	1	2	yes	complemented
113	#3274	C₂²	1	4	yes	complemented
114	#3265	C₂²	1	4	yes	complemented
115	#3265	C₂²	1	8	yes	complemented
116	#3264	C₂²	1	8	yes	complemented
117	#3264	C₂²	1	8	yes	complemented
118	#3264	C₂²	1	8	yes	complemented
119	#3253	C₂²	1	4	yes	complemented
120	#3251	C₂²	1	4	yes	complemented
121	#3247	C₂²	1	8	yes	complemented
122	#3245	C₂²	1	2	yes	complemented
123	#3235	C₂²	1	4	yes	complemented
124	#3234	C₂²	1	8	yes	complemented
125	#3228	C₂²	1	4	yes	complemented
126	#3227	C₂²	1	2	yes	complemented
127	#3217	C₂²	1	4	yes	complemented
128	#3217	C₂²	1	8	yes	complemented
129	#3205	C₂²	1	2	yes	complemented
130	#3205	C₂²	1	4	yes	complemented
131	#3194	C₂²	1	8	yes	complemented
132	#3192	C₂²	1	8	yes	complemented
133	#3188	C₂²	1	8	yes	complemented
134	#3187	C₂²	1	4	yes	complemented
135	#3186	C₂²	1	4	yes	complemented
136	#3186	C₂²	1	4	yes	complemented
137	#3184	C₂²	1	4	yes	complemented
138	#3180	C₂²	1	8	yes	complemented
139	#3171	C₂²	1	4	yes	complemented
140	#3169	C₂²	1	2	yes	complemented
141	#3138	C₂²	1	4	yes	complemented
142	C₂×#490	C₂²	1	4	yes	complemented
143	C₂×#486	C₂²	1	1	yes	characteristic, complemented
144	#3115	C₂²	1	4	yes	complemented
145	#3114	C₂²	1	8	yes	complemented
146	#3109	C₂²	1	4	yes	complemented
147	#3109	C₂²	1	8	yes	complemented
148	#3106	C₂²	1	4	yes	complemented
149	#3105	C₂²	1	4	yes	complemented
150	#3103	C₂²	1	2	yes	complemented
151	#3100	C₂²	1	2	yes	complemented
152	#3094	C₂²	1	8	yes	complemented
153	C₂×#481	C₂²	1	4	yes	complemented
154	C₂×#481	C₂²	1	2	yes	complemented
155	C₂×#482	C₂²	1	4	yes	complemented
156	#3077	C₂²	1	4	yes	complemented
157	C₂×#478	C₂²	1	4	yes	complemented
158	C₂×#476	C₂²	1	1	yes	characteristic, complemented
159	#3055	C₂²	1	8	yes	complemented
160	C₂×#469	C₂²	1	4	yes	complemented
161	C₂×#466	C₂²	1	4	yes	complemented
162	C₂×#465	C₂²	1	2	yes	complemented
163	#3038	C₂²	1	4	yes	complemented
164	C₂×#460	C₂²	1	1	yes	characteristic, complemented
165	C₂×#459	C₂²	1	4	yes	complemented
166	#3003	C₂²	1	8	yes	complemented
167	C₂×#450	C₂²	1	2	yes	complemented
168	C₂×#447	C₂²	1	4	yes	complemented
169	C₂×#447	C₂²	1	4	yes	complemented
170	#2990	C₂²	1	4	yes	complemented
171	#2989	C₂²	1	2	yes	complemented
172	#2974	C₂²	1	4	yes	complemented
173	#2973	C₂²	1	4	yes	complemented
174	#2972	C₂²	1	1	yes	characteristic, complemented
175	#2970	C₂²	1	4	yes	complemented
176	#2965	C₂²	1	2	yes	complemented
177	C₄×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
178	C₂×#442	C₂²	1	4	yes	complemented
179	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	D₄×M₁₆	C₂²	1	4	yes	complemented
181	C₂×#435	C₂²	1	4	yes	complemented
182	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
183	C₂×#418	C₂²	1	4	yes	complemented
184	C₂²×#102	C₂²	1	2	yes	complemented
185	C₂×H(5,𝔽₂)	—	2	2	no	—
186	C₂×H(5,𝔽₂)	—	2	4	no	—
187	C₂×H(5,𝔽₂)	—	2	1	no	—
188	C₂×H(5,𝔽₂)	—	2	4	no	—
189	C₂×H(5,𝔽₂)	—	2	4	no	—
190	C₂×H(5,𝔽₂)	—	2	1	no	—
191	C₂×H(5,𝔽₂)	—	4	16	no	—
192	C₂×H(5,𝔽₂)	D₄	1	1	yes	characteristic
193	C₂²×#41	—	2	2	no	—
194	C₂²×#41	—	2	4	no	—
195	C₂³×D₄	—	2	1	no	—
196	C₂³×D₄	—	2	4	no	—
197	C₂³×D₄	—	2	4	no	—
198	C₂³×D₄	C₂³	1	2	yes	—
199	C₂³×D₄	C₂³	1	4	yes	—
200	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	—
201	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
202	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂²×SD₁₆	C₂³	1	2	yes	complemented
204	C₂²×D₈	C₂³	1	4	yes	—
205	C₂²×D₈	C₂³	1	4	yes	complemented
206	C₂²×D₈	C₂³	1	4	yes	complemented
207	C₂²×M₁₆	C₂³	1	4	yes	complemented
208	C₂³×C₈	C₂³	1	2	yes	complemented
209	#559	—	2	2	no	—
210	#559	C₂³	1	2	yes	complemented
211	#557	C₂³	1	2	yes	complemented
212	#556	—	2	2	no	—
213	#556	—	2	2	no	—
214	#556	C₂³	1	2	yes	complemented
215	#555	C₂³	1	4	yes	complemented
216	#554	—	2	4	no	—
217	#554	C₂³	1	4	yes	complemented
218	#554	C₂³	1	4	yes	complemented
219	#554	C₂³	1	4	yes	complemented
220	#553	—	2	8	no	—
221	#553	—	2	8	no	—
222	#553	—	2	4	no	—
223	#553	—	2	8	no	—
224	#553	—	2	4	no	—
225	#553	—	2	4	no	—
226	#553	C₂³	1	4	yes	complemented
227	#553	C₂³	1	8	yes	complemented
228	#553	C₂³	1	8	yes	complemented
229	#553	C₂³	1	8	yes	complemented
230	#552	—	2	8	no	—
231	#552	—	2	4	no	—
232	#552	—	2	4	no	—
233	#552	C₂³	1	8	yes	complemented
234	#551	—	2	8	no	—
235	#551	—	2	8	no	—
236	#551	—	2	8	no	—
237	#550	—	2	4	no	—
238	#550	—	2	2	no	—
239	#550	C₂³	1	4	yes	—
240	#550	C₂³	1	2	yes	—
241	#550	C₂³	1	2	yes	complemented
242	D₄×Q₈	C₂³	1	2	yes	—
243	#548	—	2	4	no	—
244	#548	—	2	2	no	—
245	#548	—	2	4	no	—
246	#548	C₂³	1	4	yes	complemented
247	#547	—	2	4	no	—
248	#547	—	2	2	no	—
249	#547	C₂³	1	2	yes	—
250	#547	C₂³	1	4	yes	—
251	#547	C₂³	1	8	yes	—
252	#547	C₂³	1	4	yes	—
253	#547	C₂³	1	4	yes	complemented
254	#546	—	2	4	no	—
255	#546	—	2	4	no	—
256	#546	—	2	4	no	—
257	#546	—	2	8	no	—
258	#546	—	2	2	no	—
259	#546	—	2	4	no	—
260	#546	—	2	4	no	—
261	#546	—	2	4	no	—
262	#546	—	2	8	no	—
263	#546	—	2	4	no	—
264	#546	—	2	8	no	—
265	#546	—	2	8	no	—
266	#546	—	2	4	no	—
267	#546	—	2	8	no	—
268	#546	C₂³	1	8	yes	complemented
269	D₄²	—	2	4	no	—
270	D₄²	—	2	4	no	—
271	D₄²	—	2	4	no	—
272	D₄²	—	2	8	no	—
273	D₄²	—	2	4	no	—
274	D₄²	—	2	8	no	—
275	D₄²	—	2	8	no	—
276	D₄²	—	2	4	no	—
277	D₄²	—	2	8	no	—
278	D₄²	—	2	2	no	—
279	D₄²	—	2	4	no	—
280	D₄²	C₂³	1	4	yes	—
281	D₄²	C₂³	1	4	yes	—
282	D₄²	C₂³	1	8	yes	—
283	D₄²	C₂³	1	4	yes	—
284	D₄²	C₂³	1	2	yes	—
285	D₄²	C₂³	1	4	yes	—
286	D₄²	C₂³	1	8	yes	—
287	D₄²	C₂³	1	8	yes	—
288	D₄²	C₂³	1	8	yes	—
289	D₄²	C₂³	1	4	yes	—
290	D₄²	C₂³	1	4	yes	complemented
291	#542	—	2	4	no	—
292	#541	—	2	4	no	—
293	#540	—	2	4	no	—
294	#539	—	2	8	no	—
295	#539	—	2	4	no	—
296	#538	—	2	8	no	—
297	#538	—	2	4	no	—
298	#537	—	2	2	no	—
299	#537	—	2	1	no	—
300	#537	—	2	4	no	—
301	#537	—	2	4	no	—
302	#537	—	2	1	no	—
303	#535	—	2	2	no	—
304	#535	—	2	4	no	—
305	#535	—	2	8	no	—
306	#535	—	2	4	no	—
307	#534	—	2	4	no	—
308	#534	—	2	2	no	—
309	#534	—	2	4	no	—
310	#534	—	2	4	no	—
311	#534	—	2	8	no	—
312	#534	—	2	2	no	—
313	#533	C₂³	1	4	yes	complemented
314	#532	—	2	2	no	—
315	#532	C₂³	1	2	yes	—
316	#532	C₂³	1	4	yes	—
317	#532	C₂³	1	8	yes	—
318	#532	C₂³	1	4	yes	—
319	#532	C₂³	1	2	yes	complemented
320	#532	C₂³	1	4	yes	complemented
321	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
322	C₂×#127	C₂³	1	1	yes	characteristic
323	C₂×#127	C₂³	1	4	yes	—
324	C₂×#127	C₂³	1	4	yes	—
325	#529	—	2	4	no	—
326	#529	—	2	8	no	—
327	#529	—	2	4	no	—
328	#529	—	2	4	no	—
329	#529	C₂³	1	4	yes	complemented
330	#529	C₂³	1	8	yes	complemented
331	C₂×#126	—	2	4	no	—
332	C₂×#125	—	2	1	no	—
333	C₂×#125	C₂³	1	4	yes	complemented
334	#525	—	2	8	no	—
335	#525	—	2	2	no	—
336	#525	—	2	4	no	—
337	#525	—	2	8	no	—
338	#525	—	2	4	no	—
339	#525	C₂³	1	8	yes	complemented
340	C₂×#123	—	2	4	no	—
341	C₂×C₂²⋊Q₈	—	2	2	no	—
342	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
343	C₂×#121	—	2	4	no	—
344	C₂×#121	—	2	1	no	—
345	C₂×#121	—	2	4	no	—
346	C₂×#121	—	2	4	no	—
347	C₂×#121	C₂³	1	4	yes	—
348	C₂×#121	C₂³	1	2	yes	—
349	C₂×#121	C₂³	1	4	yes	—
350	C₂×#121	C₂³	1	8	yes	—
351	C₂×#121	C₂³	1	4	yes	complemented
352	C₂×#121	C₂³	1	4	yes	complemented
353	C₂×#120	—	2	2	no	—
354	C₂×#120	—	2	4	no	—
355	C₂×#120	—	2	4	no	—
356	C₂×#120	—	2	8	no	—
357	#520	—	2	4	no	—
358	#520	—	2	2	no	—
359	#520	D₄	1	2	yes	—
360	#520	D₄	1	4	yes	—
361	#518	—	2	4	no	—
362	#518	—	2	4	no	—
363	#518	D₄	1	1	yes	characteristic
364	#518	D₄	1	4	yes	—
365	#518	D₄	1	4	yes	—
366	C₄×#41	—	2	4	no	—
367	C₄×#41	—	2	2	no	—
368	C₄×#41	C₂³	1	2	yes	—
369	C₄×#41	C₂³	1	4	yes	—
370	C₄×#41	C₂³	1	4	yes	complemented
371	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
372	C₂×C₄×D₄	—	2	1	no	—
373	C₂×C₄×D₄	—	2	4	no	—
374	C₂×C₄×D₄	—	2	4	no	—
375	C₂×C₄×D₄	C₂³	1	4	yes	—
376	C₂×C₄×D₄	C₂³	1	4	yes	—
377	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
378	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
379	C₂×C₄×D₄	C₂³	1	4	yes	—
380	C₂×C₄×D₄	C₂³	1	4	yes	—
381	C₂×C₄×D₄	C₂³	1	4	yes	complemented
382	C₂×#117	C₂³	1	4	yes	complemented
383	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
384	#501	C₂³	1	8	yes	complemented
385	#501	C₂³	1	4	yes	complemented
386	#500	C₂³	1	2	yes	complemented
387	#498	C₂³	1	4	yes	complemented
388	#496	C₂³	1	4	yes	complemented
389	#496	C₂³	1	8	yes	complemented
390	#493	C₂³	1	2	yes	complemented
391	#493	C₂³	1	4	yes	complemented
392	#490	C₂³	1	8	yes	complemented
393	#490	C₂³	1	8	yes	complemented
394	#490	C₂³	1	8	yes	complemented
395	#490	C₂³	1	4	yes	complemented
396	#490	C₂³	1	8	yes	complemented
397	#489	C₂³	1	4	yes	complemented
398	#486	C₂³	1	2	yes	complemented
399	#486	C₂³	1	4	yes	complemented
400	#486	C₂³	1	4	yes	complemented
401	#486	C₂³	1	4	yes	complemented
402	#486	C₂³	1	2	yes	complemented
403	#486	C₂³	1	4	yes	complemented
404	#484	C₂³	1	4	yes	complemented
405	#483	C₂³	1	8	yes	complemented
406	#482	C₂³	1	4	yes	complemented
407	#482	C₂³	1	8	yes	complemented
408	#482	C₂³	1	8	yes	complemented
409	#482	C₂³	1	8	yes	complemented
410	#482	C₂³	1	4	yes	complemented
411	#482	C₂³	1	8	yes	complemented
412	#482	C₂³	1	8	yes	complemented
413	#481	C₂³	1	4	yes	complemented
414	#481	C₂³	1	8	yes	complemented
415	#481	C₂³	1	8	yes	complemented
416	#481	C₂³	1	4	yes	complemented
417	#481	C₂³	1	8	yes	complemented
418	#481	C₂³	1	8	yes	complemented
419	#481	C₂³	1	8	yes	complemented
420	#481	C₂³	1	8	yes	complemented
421	#480	C₂³	1	8	yes	complemented
422	#480	C₂³	1	8	yes	complemented
423	#480	C₂³	1	8	yes	complemented
424	#480	C₂³	1	4	yes	complemented
425	#478	C₂³	1	4	yes	—
426	#478	C₂³	1	8	yes	—
427	#478	C₂³	1	8	yes	complemented
428	#478	C₂³	1	8	yes	complemented
429	#478	C₂³	1	8	yes	complemented
430	#478	C₂³	1	4	yes	complemented
431	#478	C₂³	1	8	yes	complemented
432	#477	C₂³	1	4	yes	complemented
433	#476	C₂³	1	4	yes	—
434	#476	C₂³	1	4	yes	complemented
435	#476	C₂³	1	4	yes	complemented
436	#476	C₂³	1	4	yes	complemented
437	#476	C₂³	1	8	yes	complemented
438	#476	C₂³	1	4	yes	complemented
439	#475	C₂³	1	2	yes	complemented
440	#475	C₂³	1	2	yes	complemented
441	#474	C₂³	1	2	yes	—
442	#474	C₂³	1	4	yes	complemented
443	#474	C₂³	1	4	yes	complemented
444	#474	C₂³	1	2	yes	complemented
445	#469	C₂³	1	4	yes	complemented
446	#469	C₂³	1	4	yes	complemented
447	#469	C₂³	1	8	yes	complemented
448	#469	C₂³	1	8	yes	complemented
449	#469	C₂³	1	8	yes	complemented
450	#469	C₂³	1	8	yes	complemented
451	#469	C₂³	1	8	yes	complemented
452	#468	C₂³	1	8	yes	complemented
453	#468	C₂³	1	4	yes	complemented
454	#468	C₂³	1	4	yes	complemented
455	#466	C₂³	1	8	yes	complemented
456	#466	C₂³	1	4	yes	complemented
457	#466	C₂³	1	8	yes	complemented
458	#466	C₂³	1	8	yes	complemented
459	#466	C₂³	1	8	yes	complemented
460	#466	C₂³	1	4	yes	complemented
461	#466	C₂³	1	8	yes	complemented
462	#465	C₂³	1	8	yes	complemented
463	#465	C₂³	1	8	yes	complemented
464	#465	C₂³	1	8	yes	complemented
465	#465	C₂³	1	8	yes	complemented
466	#463	C₂³	1	4	yes	—
467	#463	C₂³	1	4	yes	complemented
468	#463	C₂³	1	8	yes	complemented
469	#460	C₂³	1	2	yes	complemented
470	#460	C₂³	1	2	yes	complemented
471	#460	C₂³	1	4	yes	complemented
472	#460	C₂³	1	8	yes	complemented
473	#460	C₂³	1	4	yes	complemented
474	#460	C₂³	1	4	yes	complemented
475	#459	C₂³	1	2	yes	—
476	#459	C₂³	1	2	yes	complemented
477	#459	C₂³	1	4	yes	complemented
478	#459	C₂³	1	8	yes	complemented
479	#459	C₂³	1	4	yes	complemented
480	#459	C₂³	1	8	yes	complemented
481	#459	C₂³	1	4	yes	complemented
482	#459	C₂³	1	8	yes	complemented
483	#459	C₂³	1	4	yes	complemented
484	#459	C₂³	1	4	yes	complemented
485	#459	C₂³	1	8	yes	complemented
486	#450	C₂³	1	4	yes	—
487	#450	C₂³	1	8	yes	—
488	#450	C₂³	1	8	yes	complemented
489	#450	C₂³	1	8	yes	complemented
490	#450	C₂³	1	8	yes	complemented
491	#449	C₂³	1	4	yes	complemented
492	#449	C₂³	1	4	yes	complemented
493	#449	C₂³	1	8	yes	complemented
494	#448	C₂³	1	4	yes	complemented
495	#447	C₂³	1	4	yes	—
496	#447	C₂³	1	4	yes	—
497	#447	C₂³	1	8	yes	—
498	#447	C₂³	1	8	yes	—
499	#447	C₂³	1	8	yes	complemented
500	#447	C₂³	1	8	yes	complemented
501	#447	C₂³	1	8	yes	complemented
502	#447	C₂³	1	8	yes	complemented
503	#447	C₂³	1	8	yes	complemented
504	#447	C₂³	1	8	yes	complemented
505	#447	C₂³	1	8	yes	complemented
506	#447	C₂³	1	8	yes	complemented
507	#446	C₂³	1	2	yes	complemented
508	#446	C₂³	1	2	yes	complemented
509	#446	C₂³	1	4	yes	complemented
510	#442	C₂³	1	8	yes	—
511	#442	C₂³	1	4	yes	—
512	#442	C₂³	1	8	yes	complemented
513	#442	C₂³	1	4	yes	complemented
514	#442	C₂³	1	8	yes	complemented
515	#442	C₂³	1	8	yes	complemented
516	#442	C₂³	1	8	yes	complemented
517	#440	C₂³	1	4	yes	—
518	#440	C₂³	1	8	yes	complemented
519	#440	C₂³	1	4	yes	complemented
520	C₄×SD₁₆	C₂³	1	2	yes	—
521	C₄×SD₁₆	C₂³	1	2	yes	—
522	C₄×SD₁₆	C₂³	1	2	yes	complemented
523	C₄×SD₁₆	C₂³	1	4	yes	complemented
524	C₄×SD₁₆	C₂³	1	4	yes	complemented
525	C₄×SD₁₆	C₂³	1	2	yes	complemented
526	C₄×D₈	C₂³	1	4	yes	—
527	C₄×D₈	C₂³	1	4	yes	complemented
528	C₄×D₈	C₂³	1	4	yes	complemented
529	C₄×D₈	C₂³	1	4	yes	complemented
530	#436	C₂³	1	2	yes	complemented
531	#436	C₂³	1	2	yes	complemented
532	#436	C₂³	1	4	yes	complemented
533	#435	C₂³	1	8	yes	complemented
534	#435	C₂³	1	8	yes	complemented
535	#435	C₂³	1	8	yes	complemented
536	#435	C₂³	1	4	yes	complemented
537	#435	C₂³	1	8	yes	complemented
538	#435	C₂³	1	4	yes	complemented
539	#435	C₂³	1	8	yes	complemented
540	C₈×D₄	C₂³	1	4	yes	complemented
541	C₈×D₄	C₂³	1	4	yes	complemented
542	C₈×D₄	C₂³	1	4	yes	complemented
543	C₈×D₄	C₂³	1	4	yes	complemented
544	#432	C₂³	1	8	yes	complemented
545	#432	C₂³	1	4	yes	complemented
546	#431	C₂³	1	2	yes	complemented
547	#431	C₂³	1	4	yes	complemented
548	#428	C₂³	1	8	yes	complemented
549	#428	C₂³	1	4	yes	complemented
550	C₂×#107	C₂³	1	4	yes	complemented
551	C₂×#106	C₂³	1	4	yes	complemented
552	C₂×#106	C₂³	1	4	yes	complemented
553	C₂×#106	C₂³	1	1	yes	characteristic, complemented
554	C₂×#106	C₂³	1	2	yes	complemented
555	#423	C₂³	1	4	yes	complemented
556	C₂×C₄⋊C₈	C₂³	1	4	yes	complemented
557	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
558	#418	C₂³	1	8	yes	—
559	#418	C₂³	1	4	yes	—
560	#418	C₂³	1	8	yes	complemented
561	#418	C₂³	1	8	yes	complemented
562	#418	C₂³	1	8	yes	complemented
563	#417	C₂³	1	4	yes	complemented
564	C₂×#103	C₂³	1	1	yes	characteristic, complemented
565	C₂×#102	C₂³	1	4	yes	—
566	C₂×#102	C₂³	1	4	yes	—
567	C₂×#102	C₂³	1	1	yes	characteristic
568	C₂×#102	C₂³	1	4	yes	—
569	C₂×#102	C₂³	1	2	yes	—
570	C₂×#102	C₂³	1	4	yes	complemented
571	C₂×#102	C₂³	1	4	yes	complemented
572	C₂×#102	C₂³	1	2	yes	complemented
573	C₂×#102	C₂³	1	4	yes	complemented
574	C₂×#102	C₂³	1	2	yes	complemented
575	C₂×#102	C₂³	1	4	yes	complemented
576	C₂×#102	C₂³	1	2	yes	complemented
577	C₂×#102	C₂³	1	4	yes	complemented
578	C₂×#102	C₂³	1	4	yes	complemented
579	C₂×#102	C₂³	1	4	yes	complemented
580	#407	C₂³	1	8	yes	complemented
581	C₂×C₂²⋊C₈	C₂³	1	4	yes	complemented
582	C₂×C₂²⋊C₈	C₂³	1	2	yes	complemented
583	C₂×C₂²⋊C₈	C₂³	1	4	yes	complemented
584	C₄×M₁₆	C₂³	1	4	yes	complemented
585	C₂×#97	C₂³	1	4	yes	complemented
586	C₂×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
587	C₂⁵	—	2	4	no	—
588	C₂⁵	—	2	2	no	—
589	H(5,𝔽₂)	—	2	8	no	—
590	H(5,𝔽₂)	—	4	32	no	—
591	H(5,𝔽₂)	—	4	32	no	—
592	H(5,𝔽₂)	—	4	32	no	—
593	H(5,𝔽₂)	—	4	16	no	—
594	H(5,𝔽₂)	—	4	8	no	—
595	H(5,𝔽₂)	—	4	8	no	—
596	C₂×#41	—	2	4	no	—
597	C₂×#41	—	2	2	no	—
598	C₂×#41	—	2	4	no	—
599	C₂×#41	—	2	8	no	—
600	C₂×#41	—	2	4	no	—
601	C₂×#41	—	2	2	no	—
602	C₂×#41	—	2	4	no	—
603	C₂×#41	—	2	2	no	—
604	C₂×#41	—	2	8	no	—
605	C₂×#41	—	2	4	no	—
606	C₂×#41	—	2	4	no	—
607	C₂×#41	—	2	2	no	—
608	C₂×#41	—	2	4	no	—
609	C₂×#41	—	4	32	no	—
610	C₂×#41	—	4	16	no	—
611	C₂×#41	C₂×D₄	1	2	yes	—
612	C₂×#41	C₂×D₄	1	4	yes	—
613	C₂×#41	C₂⁴	1	4	yes	—
614	C₂²×Q₈	—	2	2	no	—
615	C₂²×Q₈	—	2	1	no	—
616	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
617	C₂²×D₄	—	2	4	no	—
618	C₂²×D₄	—	2	4	no	—
619	C₂²×D₄	—	2	8	no	—
620	C₂²×D₄	—	2	2	no	—
621	C₂²×D₄	—	2	4	no	—
622	C₂²×D₄	—	2	4	no	—
623	C₂²×D₄	—	2	4	no	—
624	C₂²×D₄	—	2	8	no	—
625	C₂²×D₄	—	2	4	no	—
626	C₂²×D₄	—	2	2	no	—
627	C₂²×D₄	—	2	4	no	—
628	C₂²×D₄	—	2	8	no	—
629	C₂²×D₄	—	2	8	no	—
630	C₂²×D₄	—	2	8	no	—
631	C₂²×D₄	—	2	4	no	—
632	C₂²×D₄	—	2	4	no	—
633	C₂²×D₄	—	2	4	no	—
634	C₂²×D₄	—	2	4	no	—
635	C₂²×D₄	—	2	4	no	—
636	C₂²×D₄	—	2	1	no	—
637	C₂²×D₄	—	2	4	no	—
638	C₂²×D₄	—	2	4	no	—
639	C₂²×D₄	—	2	2	no	—
640	C₂²×D₄	—	2	8	no	—
641	C₂²×D₄	—	2	4	no	—
642	C₂²×D₄	—	2	1	no	—
643	C₂²×D₄	—	2	4	no	—
644	C₂²×D₄	—	4	4	no	—
645	C₂²×D₄	—	4	8	no	—
646	C₂²×D₄	—	4	32	no	—
647	C₂²×D₄	—	4	32	no	—
648	C₂²×D₄	—	4	8	no	—
649	C₂²×D₄	—	8	2	no	—
650	C₂²×D₄	—	8	4	no	—
651	C₂²×D₄	C₂×D₄	1	4	yes	—
652	C₂²×D₄	C₂×D₄	1	4	yes	—
653	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
654	C₂²×D₄	C₂⁴	1	4	yes	—
655	C₂²×D₄	C₂⁴	1	1	yes	characteristic
656	C₂²×D₄	C₂⁴	1	4	yes	—
657	C₂²×D₄	C₂⁴	1	4	yes	—
658	C₂²×D₄	C₂⁴	1	4	yes	—
659	C₂²×D₄	C₂⁴	1	4	yes	—
660	C₂²×D₄	C₂⁴	1	2	yes	—
661	C₂²×D₄	C₂⁴	1	8	yes	—
662	C₂³×C₄	—	2	2	no	—
663	C₂³×C₄	—	2	4	no	—
664	C₂³×C₄	—	2	4	no	—
665	C₂³×C₄	—	2	1	no	—
666	C₂³×C₄	—	2	4	no	—
667	C₂³×C₄	C₂⁴	1	2	yes	—
668	C₂³×C₄	C₂⁴	1	4	yes	—
669	AGL(1,ℤ/8)	—	4	8	no	—
670	AGL(1,ℤ/8)	—	8	8	no	—
671	C₂×SD₁₆	—	4	2	no	—
672	C₂×SD₁₆	—	8	2	no	—
673	C₂×SD₁₆	C₂⁴	1	2	yes	—
674	C₂×SD₁₆	C₂⁴	1	2	yes	—
675	C₂×SD₁₆	C₂⁴	1	8	yes	—
676	C₂×SD₁₆	C₂⁴	1	4	yes	—
677	C₂×SD₁₆	C₂⁴	1	4	yes	—
678	C₂×D₈	—	4	8	no	—
679	C₂×D₈	—	8	4	no	—
680	C₂×D₈	—	8	4	no	—
681	C₂×D₈	C₂⁴	1	4	yes	—
682	C₂×D₈	C₂⁴	1	8	yes	—
683	C₂×D₈	C₂⁴	1	4	yes	—
684	C₂×D₈	C₂⁴	1	4	yes	—
685	C₂×D₈	C₂⁴	1	8	yes	—
686	C₂×D₈	C₂⁴	1	8	yes	—
687	C₂×D₈	C₂⁴	1	4	yes	—
688	C₂×M₁₆	—	8	4	no	—
689	C₂×M₁₆	C₂⁴	1	4	yes	—
690	C₂×M₁₆	C₂⁴	1	8	yes	—
691	C₂×M₁₆	C₂⁴	1	4	yes	—
692	C₂²×C₈	—	8	2	no	—
693	C₂²×C₈	C₂⁴	1	1	yes	characteristic
694	C₂²×C₈	C₂⁴	1	4	yes	—
695	C₂²×C₈	C₂⁴	1	4	yes	—
696	C₂²×C₈	C₂⁴	1	2	yes	—
697	C₂²×C₈	C₂⁴	1	4	yes	—
698	C₂²×C₈	C₂⁴	1	4	yes	—
699	C₂²×C₈	C₂⁴	1	1	yes	characteristic
700	C₄⋊Q₈	—	2	2	no	—
701	C₄⋊Q₈	—	2	2	no	—
702	C₄⋊Q₈	C₂⁴	1	4	yes	—
703	C₄⋊Q₈	C₂⁴	1	2	yes	—
704	C₄⋊Q₈	C₂⁴	1	4	yes	—
705	C₄⋊Q₈	C₂⁴	1	2	yes	—
706	#127	—	2	2	no	—
707	#127	—	2	4	no	—
708	#127	—	2	8	no	—
709	#127	—	2	4	no	—
710	#127	—	2	2	no	—
711	#127	C₂⁴	1	4	yes	—
712	#127	C₂⁴	1	8	yes	—
713	#127	C₂⁴	1	4	yes	—
714	#127	C₂⁴	1	2	yes	—
715	#127	C₂⁴	1	2	yes	—
716	#126	—	2	4	no	—
717	#126	—	2	8	no	—
718	#126	—	2	8	no	—
719	#126	—	2	8	no	—
720	#126	—	2	4	no	—
721	#126	—	2	8	no	—
722	#126	—	2	4	no	—
723	#126	—	2	8	no	—
724	#125	—	2	4	no	—
725	#125	—	2	4	no	—
726	#125	—	2	4	no	—
727	#125	—	2	8	no	—
728	#125	—	2	8	no	—
729	#125	C₂⁴	1	4	yes	—
730	#125	C₂⁴	1	8	yes	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	4	no	—
734	#124	—	2	8	no	—
735	#124	—	2	4	no	—
736	#124	—	2	8	no	—
737	#124	—	2	4	no	—
738	#124	—	2	2	no	—
739	#124	—	2	4	no	—
740	#124	—	2	2	no	—
741	#124	C₂⁴	1	4	yes	—
742	#123	—	2	8	no	—
743	#123	—	2	8	no	—
744	#123	—	2	8	no	—
745	#123	—	2	4	no	—
746	#123	—	2	4	no	—
747	#123	—	2	8	no	—
748	#123	—	2	4	no	—
749	#123	—	2	8	no	—
750	#123	—	2	8	no	—
751	#123	—	2	8	no	—
752	#123	—	2	8	no	—
753	#123	—	2	4	no	—
754	#123	—	2	8	no	—
755	#123	—	2	8	no	—
756	#123	—	2	4	no	—
757	#123	—	2	4	no	—
758	#123	—	2	8	no	—
759	C₂²⋊Q₈	—	2	4	no	—
760	C₂²⋊Q₈	—	2	4	no	—
761	C₂²⋊Q₈	—	2	4	no	—
762	C₂²⋊Q₈	—	2	4	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	4	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	4	no	—
767	C₂²⋊Q₈	—	2	4	no	—
768	C₂²⋊Q₈	—	2	8	no	—
769	C₂²⋊Q₈	—	2	8	no	—
770	C₂²⋊Q₈	—	2	4	no	—
771	C₂²⋊Q₈	—	2	4	no	—
772	C₂²⋊Q₈	—	2	8	no	—
773	C₂²⋊Q₈	—	2	8	no	—
774	C₂²⋊Q₈	C₂⁴	1	8	yes	—
775	C₂²⋊Q₈	C₂⁴	1	4	yes	—
776	#121	—	2	4	no	—
777	#121	—	2	8	no	—
778	#121	—	2	8	no	—
779	#121	—	2	8	no	—
780	#121	—	2	4	no	—
781	#121	—	2	4	no	—
782	#121	—	2	8	no	—
783	#121	—	2	4	no	—
784	#121	—	2	4	no	—
785	#121	—	2	4	no	—
786	#121	—	2	8	no	—
787	#121	—	2	8	no	—
788	#121	—	2	4	no	—
789	#121	—	2	4	no	—
790	#121	—	2	8	no	—
791	#121	—	2	8	no	—
792	#121	—	2	2	no	—
793	#121	—	2	4	no	—
794	#121	—	2	4	no	—
795	#121	—	2	2	no	—
796	#121	—	2	4	no	—
797	#121	—	2	2	no	—
798	#121	—	2	4	no	—
799	#121	—	2	4	no	—
800	#121	—	2	8	no	—
801	#121	—	2	4	no	—
802	#121	—	2	4	no	—
803	#121	—	2	4	no	—
804	#121	—	2	8	no	—
805	#121	—	2	8	no	—
806	#121	—	2	8	no	—
807	#121	—	2	2	no	—
808	#121	—	2	4	no	—
809	#121	—	2	4	no	—
810	#121	—	2	8	no	—
811	#121	—	2	4	no	—
812	#121	—	2	8	no	—
813	#121	—	2	4	no	—
814	#121	C₂⁴	1	8	yes	—
815	#121	C₂⁴	1	8	yes	—
816	#121	C₂⁴	1	4	yes	—
817	#121	C₂⁴	1	4	yes	—
818	#121	C₂⁴	1	8	yes	—
819	#121	C₂⁴	1	4	yes	—
820	#121	C₂⁴	1	4	yes	—
821	#121	C₂⁴	1	4	yes	—
822	#121	C₂⁴	1	8	yes	—
823	#121	C₂⁴	1	8	yes	—
824	#120	—	2	8	no	—
825	#120	—	2	8	no	—
826	#120	—	2	8	no	—
827	#120	—	2	4	no	—
828	#120	—	2	8	no	—
829	#120	—	2	8	no	—
830	#120	—	2	4	no	—
831	#120	—	2	4	no	—
832	#120	—	2	8	no	—
833	#120	—	2	8	no	—
834	#120	—	2	8	no	—
835	#120	—	2	8	no	—
836	#120	—	2	8	no	—
837	#120	—	2	8	no	—
838	#120	—	2	8	no	—
839	#120	—	2	8	no	—
840	#120	—	2	8	no	—
841	#120	—	2	8	no	—
842	C₄×Q₈	—	2	2	no	—
843	C₄×Q₈	—	2	2	no	—
844	C₄×Q₈	—	2	2	no	—
845	C₄×Q₈	—	2	4	no	—
846	C₄×Q₈	—	2	4	no	—
847	C₄×Q₈	C₂×D₄	1	4	yes	—
848	C₄×Q₈	C₂×D₄	1	2	yes	—
849	C₄×Q₈	C₂⁴	1	2	yes	—
850	C₄×Q₈	C₂⁴	1	2	yes	—
851	C₄×Q₈	C₂⁴	1	4	yes	—
852	C₄×Q₈	C₂⁴	1	2	yes	—
853	C₄×D₄	—	2	4	no	—
854	C₄×D₄	—	2	4	no	—
855	C₄×D₄	—	2	8	no	—
856	C₄×D₄	—	2	8	no	—
857	C₄×D₄	—	2	4	no	—
858	C₄×D₄	—	2	4	no	—
859	C₄×D₄	—	2	8	no	—
860	C₄×D₄	—	2	4	no	—
861	C₄×D₄	—	2	2	no	—
862	C₄×D₄	—	2	2	no	—
863	C₄×D₄	—	2	8	no	—
864	C₄×D₄	—	2	4	no	—
865	C₄×D₄	—	2	8	no	—
866	C₄×D₄	—	2	8	no	—
867	C₄×D₄	—	2	4	no	—
868	C₄×D₄	—	2	4	no	—
869	C₄×D₄	—	2	4	no	—
870	C₄×D₄	—	2	8	no	—
871	C₄×D₄	—	2	4	no	—
872	C₄×D₄	—	2	2	no	—
873	C₄×D₄	—	2	8	no	—
874	C₄×D₄	—	2	4	no	—
875	C₄×D₄	—	2	8	no	—
876	C₄×D₄	—	2	4	no	—
877	C₄×D₄	—	2	2	no	—
878	C₄×D₄	—	2	2	no	—
879	C₄×D₄	C₂×D₄	1	4	yes	—
880	C₄×D₄	C₂×D₄	1	4	yes	—
881	C₄×D₄	C₂×D₄	1	8	yes	—
882	C₄×D₄	C₂×D₄	1	4	yes	—
883	C₄×D₄	C₂×D₄	1	4	yes	—
884	C₄×D₄	C₂×D₄	1	8	yes	—
885	C₄×D₄	C₂×D₄	1	8	yes	—
886	C₄×D₄	C₂×D₄	1	8	yes	—
887	C₄×D₄	C₂×D₄	1	2	yes	—
888	C₄×D₄	C₂×D₄	1	4	yes	—
889	C₄×D₄	C₂⁴	1	2	yes	—
890	C₄×D₄	C₂⁴	1	4	yes	—
891	C₄×D₄	C₂⁴	1	4	yes	—
892	C₄×D₄	C₂⁴	1	2	yes	—
893	C₄×D₄	C₂⁴	1	8	yes	—
894	C₄×D₄	C₂⁴	1	4	yes	—
895	C₄×D₄	C₂⁴	1	4	yes	—
896	C₄×D₄	C₂⁴	1	8	yes	—
897	C₄×D₄	C₂⁴	1	4	yes	—
898	C₄×D₄	C₂⁴	1	4	yes	—
899	C₄×D₄	C₂⁴	1	8	yes	—
900	C₄×D₄	C₂⁴	1	4	yes	—
901	C₄×D₄	C₂⁴	1	2	yes	—
902	#117	—	2	8	no	—
903	#117	—	2	4	no	—
904	#117	—	2	8	no	—
905	#117	—	2	4	no	—
906	#117	—	2	4	no	—
907	#117	—	2	8	no	—
908	#117	C₂×D₄	1	2	yes	—
909	#117	C₂×D₄	1	4	yes	—
910	#117	C₂×D₄	1	8	yes	—
911	#117	C₂×D₄	1	4	yes	—
912	#117	C₂⁴	1	4	yes	—
913	#117	C₂⁴	1	8	yes	—
914	C₂×C₄⋊C₄	—	2	2	no	—
915	C₂×C₄⋊C₄	—	2	4	no	—
916	C₂×C₄⋊C₄	—	2	4	no	—
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	2	4	no	—
920	C₂×C₄⋊C₄	—	2	2	no	—
921	C₂×C₄⋊C₄	—	2	4	no	—
922	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂×D₄	1	4	yes	—
924	C₂×C₄⋊C₄	C₂×D₄	1	4	yes	—
925	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
933	C₂×C₂²⋊C₄	—	2	4	no	—
934	C₂×C₂²⋊C₄	—	2	2	no	—
935	C₂×C₂²⋊C₄	—	2	4	no	—
936	C₂×C₂²⋊C₄	—	2	4	no	—
937	C₂×C₂²⋊C₄	—	2	1	no	—
938	C₂×C₂²⋊C₄	—	2	4	no	—
939	C₂×C₂²⋊C₄	—	2	4	no	—
940	C₂×C₂²⋊C₄	—	2	4	no	—
941	C₂×C₂²⋊C₄	—	2	4	no	—
942	C₂×C₂²⋊C₄	—	2	2	no	—
943	C₂×C₂²⋊C₄	—	2	8	no	—
944	C₂×C₂²⋊C₄	—	2	4	no	—
945	C₂×C₂²⋊C₄	—	2	8	no	—
946	C₂×C₂²⋊C₄	C₂×D₄	1	4	yes	—
947	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
948	C₂×C₂²⋊C₄	C₂×D₄	1	4	yes	—
949	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
950	C₂×C₄²	—	2	4	no	—
951	C₂×C₄²	—	2	1	no	—
952	C₂×C₄²	—	2	4	no	—
953	C₂×C₄²	C₂⁴	1	4	yes	—
954	C₂×C₄²	C₂⁴	1	1	yes	characteristic
955	C₂×C₄²	C₂⁴	1	4	yes	—
956	#107	C₂⁴	1	4	yes	—
957	#107	C₂⁴	1	8	yes	—
958	#107	C₂⁴	1	4	yes	—
959	#107	C₂⁴	1	4	yes	—
960	#107	C₂⁴	1	4	yes	—
961	#106	C₂⁴	1	4	yes	—
962	#106	C₂⁴	1	4	yes	—
963	#106	C₂⁴	1	2	yes	—
964	#106	C₂⁴	1	8	yes	—
965	#106	C₂⁴	1	8	yes	—
966	#106	C₂⁴	1	2	yes	—
967	#106	C₂⁴	1	8	yes	—
968	C₄⋊C₈	C₂⁴	1	4	yes	—
969	C₄⋊C₈	C₂⁴	1	4	yes	—
970	C₄⋊C₈	C₂⁴	1	8	yes	—
971	C₄⋊C₈	C₂⁴	1	2	yes	—
972	C₄⋊C₈	C₂⁴	1	2	yes	—
973	C₄⋊C₈	C₂⁴	1	4	yes	—
974	#103	C₂⁴	1	2	yes	—
975	#103	C₂⁴	1	2	yes	—
976	#103	C₂⁴	1	4	yes	—
977	#103	C₂⁴	1	4	yes	—
978	#102	C₂⁴	1	1	yes	characteristic
979	#102	C₂⁴	1	1	yes	characteristic
980	#102	C₂⁴	1	4	yes	—
981	#102	C₂⁴	1	4	yes	—
982	#102	C₂⁴	1	1	yes	characteristic
983	#102	C₂⁴	1	1	yes	characteristic
984	#102	C₂⁴	1	4	yes	—
985	#102	C₂⁴	1	4	yes	—
986	#102	C₂⁴	1	4	yes	—
987	#102	C₂⁴	1	4	yes	—
988	#102	C₂⁴	1	4	yes	—
989	#102	C₂⁴	1	8	yes	—
990	#102	C₂⁴	1	4	yes	—
991	#102	C₂⁴	1	4	yes	—
992	#102	C₂⁴	1	4	yes	—
993	#102	C₂⁴	1	4	yes	—
994	#102	C₂⁴	1	4	yes	—
995	#102	C₂⁴	1	8	yes	—
996	#102	C₂⁴	1	8	yes	—
997	#102	C₂⁴	1	8	yes	—
998	#102	C₂⁴	1	8	yes	—
999	#102	C₂⁴	1	8	yes	—
1000	#102	C₂⁴	1	8	yes	—
1001	#102	C₂⁴	1	4	yes	—
1002	#102	C₂⁴	1	4	yes	—
1003	#102	C₂⁴	1	4	yes	—
1004	#102	C₂⁴	1	4	yes	—
1005	C₂²⋊C₈	C₂⁴	1	4	yes	—
1006	C₂²⋊C₈	C₂⁴	1	4	yes	—
1007	C₂²⋊C₈	C₂⁴	1	8	yes	—
1008	C₂²⋊C₈	C₂⁴	1	8	yes	—
1009	C₂²⋊C₈	C₂⁴	1	8	yes	—
1010	C₂²⋊C₈	C₂⁴	1	4	yes	—
1011	#97	C₂⁴	1	4	yes	—
1012	#97	C₂⁴	1	8	yes	—
1013	#97	C₂⁴	1	4	yes	—
1014	C₄×C₈	C₂⁴	1	2	yes	—
1015	C₄×C₈	C₂⁴	1	2	yes	—
1016	C₄×C₈	C₂⁴	1	4	yes	—
1017	C₂⁴	—	2	4	no	—
1018	C₂⁴	—	2	4	no	—
1019	C₂⁴	—	2	1	no	—
1020	C₂⁴	—	2	4	no	—
1021	C₂⁴	—	2	8	no	—
1022	C₂⁴	—	2	4	no	—
1023	C₂⁴	—	2	4	no	—
1024	C₂⁴	—	2	2	no	—
1025	C₂⁴	—	4	16	no	—
1026	C₂⁴	—	4	8	no	—
1027	C₂⁴	—	8	4	no	—
1028	C₂⁴	—	8	8	no	—
1029	C₂⁴	—	16	2	no	—
1030	C₂⁴	—	16	4	no	—
1031	C₂⁴	C₂²×D₄	1	4	yes	—
1032	C₂⁴	C₂²×D₄	1	2	yes	—
1033	#41	—	2	16	no	—
1034	#41	—	2	8	no	—
1035	#41	—	4	32	no	—
1036	#41	—	4	16	no	—
1037	#41	—	4	16	no	—
1038	#41	—	4	4	no	—
1039	#41	—	4	4	no	—
1040	#41	—	4	32	no	—
1041	#41	—	4	16	no	—
1042	#41	—	4	8	no	—
1043	#41	—	4	16	no	—
1044	#41	—	4	8	no	—
1045	#41	—	4	16	no	—
1046	#41	—	4	16	no	—
1047	#41	—	4	8	no	—
1048	#41	—	4	8	no	—
1049	#41	—	16	4	no	—
1050	C₂×Q₈	—	2	2	no	—
1051	C₂×Q₈	—	2	4	no	—
1052	C₂×Q₈	—	2	2	no	—
1053	C₂×Q₈	—	2	1	no	—
1054	C₂×Q₈	—	2	4	no	—
1055	C₂×Q₈	—	4	1	no	—
1056	C₂×Q₈	—	4	1	no	—
1057	C₂×Q₈	—	4	8	no	—
1058	C₂×Q₈	—	16	1	no	—
1059	C₂×Q₈	C₂²×D₄	1	2	yes	—
1060	C₂×Q₈	C₂⁵	1	2	yes	—
1061	C₂×D₄	—	2	16	no	—
1062	C₂×D₄	—	2	16	no	—
1063	C₂×D₄	—	2	8	no	—
1064	C₂×D₄	—	2	2	no	—
1065	C₂×D₄	—	2	8	no	—
1066	C₂×D₄	—	2	8	no	—
1067	C₂×D₄	—	2	4	no	—
1068	C₂×D₄	—	2	8	no	—
1069	C₂×D₄	—	2	4	no	—
1070	C₂×D₄	—	2	4	no	—
1071	C₂×D₄	—	2	8	no	—
1072	C₂×D₄	—	2	8	no	—
1073	C₂×D₄	—	2	4	no	—
1074	C₂×D₄	—	2	4	no	—
1075	C₂×D₄	—	2	8	no	—
1076	C₂×D₄	—	2	4	no	—
1077	C₂×D₄	—	2	2	no	—
1078	C₂×D₄	—	2	4	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	4	no	—
1081	C₂×D₄	—	2	4	no	—
1082	C₂×D₄	—	2	8	no	—
1083	C₂×D₄	—	2	2	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	2	4	no	—
1087	C₂×D₄	—	2	8	no	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	2	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	8	no	—
1092	C₂×D₄	—	2	2	no	—
1093	C₂×D₄	—	2	4	no	—
1094	C₂×D₄	—	2	4	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	4	1	no	—
1097	C₂×D₄	—	4	4	no	—
1098	C₂×D₄	—	4	4	no	—
1099	C₂×D₄	—	4	4	no	—
1100	C₂×D₄	—	4	4	no	—
1101	C₂×D₄	—	4	4	no	—
1102	C₂×D₄	—	4	2	no	—
1103	C₂×D₄	—	4	8	no	—
1104	C₂×D₄	—	4	4	no	—
1105	C₂×D₄	—	4	4	no	—
1106	C₂×D₄	—	4	2	no	—
1107	C₂×D₄	—	4	8	no	—
1108	C₂×D₄	—	4	16	no	—
1109	C₂×D₄	—	4	16	no	—
1110	C₂×D₄	—	4	32	no	—
1111	C₂×D₄	—	4	16	no	—
1112	C₂×D₄	—	4	8	no	—
1113	C₂×D₄	—	4	32	no	—
1114	C₂×D₄	—	4	32	no	—
1115	C₂×D₄	—	4	32	no	—
1116	C₂×D₄	—	4	16	no	—
1117	C₂×D₄	—	4	32	no	—
1118	C₂×D₄	—	4	16	no	—
1119	C₂×D₄	—	4	16	no	—
1120	C₂×D₄	—	4	8	no	—
1121	C₂×D₄	—	4	16	no	—
1122	C₂×D₄	—	4	16	no	—
1123	C₂×D₄	—	4	16	no	—
1124	C₂×D₄	—	4	16	no	—
1125	C₂×D₄	—	4	16	no	—
1126	C₂×D₄	—	4	4	no	—
1127	C₂×D₄	—	8	8	no	—
1128	C₂×D₄	—	8	16	no	—
1129	C₂×D₄	—	8	4	no	—
1130	C₂×D₄	—	8	8	no	—
1131	C₂×D₄	—	16	4	no	—
1132	C₂×D₄	—	16	1	no	—
1133	C₂×D₄	—	16	4	no	—
1134	C₂×D₄	—	16	4	no	—
1135	C₂×D₄	AGL(1,ℤ/8)	1	8	yes	complemented
1136	C₂×D₄	C₂²×D₄	1	8	yes	—
1137	C₂×D₄	C₂²×D₄	1	4	yes	—
1138	C₂×D₄	C₂²×D₄	1	2	yes	—
1139	C₂×D₄	C₂²×D₄	1	4	yes	—
1140	C₂×D₄	C₂⁵	1	4	yes	—
1141	C₂×D₄	C₂⁵	1	4	yes	—
1142	C₂×D₄	C₂⁵	1	1	yes	characteristic
1143	C₂×D₄	C₂⁵	1	4	yes	—
1144	C₂×D₄	C₂⁵	1	1	yes	characteristic
1145	C₂²×C₄	—	2	4	no	—
1146	C₂²×C₄	—	2	4	no	—
1147	C₂²×C₄	—	2	4	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	1	no	—
1150	C₂²×C₄	—	2	4	no	—
1151	C₂²×C₄	—	2	1	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	4	no	—
1154	C₂²×C₄	—	2	4	no	—
1155	C₂²×C₄	—	2	4	no	—
1156	C₂²×C₄	—	2	2	no	—
1157	C₂²×C₄	—	2	8	no	—
1158	C₂²×C₄	—	2	4	no	—
1159	C₂²×C₄	—	2	4	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	2	4	no	—
1163	C₂²×C₄	—	2	8	no	—
1164	C₂²×C₄	—	4	2	no	—
1165	C₂²×C₄	—	4	4	no	—
1166	C₂²×C₄	—	4	2	no	—
1167	C₂²×C₄	—	4	4	no	—
1168	C₂²×C₄	—	4	16	no	—
1169	C₂²×C₄	—	4	16	no	—
1170	C₂²×C₄	—	4	4	no	—
1171	C₂²×C₄	—	16	4	no	—
1172	C₂²×C₄	—	16	2	no	—
1173	C₂²×C₄	C₂²×D₄	1	4	yes	—
1174	C₂²×C₄	C₂²×D₄	1	4	yes	—
1175	C₂²×C₄	C₂²×D₄	1	4	yes	—
1176	C₂²×C₄	C₂²×D₄	1	4	yes	—
1177	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1178	C₂²×C₄	C₂²×D₄	1	4	yes	—
1179	C₂²×C₄	C₂²×D₄	1	4	yes	—
1180	C₂²×C₄	C₂²×D₄	1	2	yes	—
1181	C₂²×C₄	C₂²×D₄	1	8	yes	—
1182	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1183	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁵	1	4	yes	—
1185	C₂²×C₄	C₂⁵	1	4	yes	—
1186	SD₁₆	—	2	4	no	—
1187	SD₁₆	—	4	2	no	—
1188	SD₁₆	—	4	8	no	—
1189	SD₁₆	—	4	4	no	—
1190	SD₁₆	—	4	4	no	—
1191	D₈	—	2	8	no	—
1192	D₈	—	4	8	no	—
1193	D₈	—	4	4	no	—
1194	D₈	—	4	4	no	—
1195	D₈	—	4	8	no	—
1196	D₈	—	4	8	no	—
1197	D₈	—	4	4	no	—
1198	M₁₆	—	4	4	no	—
1199	M₁₆	—	4	8	no	—
1200	M₁₆	—	4	4	no	—
1201	C₂×C₈	—	4	1	no	—
1202	C₂×C₈	—	4	4	no	—
1203	C₂×C₈	—	4	4	no	—
1204	C₂×C₈	—	4	2	no	—
1205	C₂×C₈	—	4	4	no	—
1206	C₂×C₈	—	4	4	no	—
1207	C₂×C₈	—	4	1	no	—
1208	C₂×C₈	C₂⁵	1	1	yes	characteristic
1209	C₂×C₈	C₂⁵	1	2	yes	—
1210	C₂×C₈	C₂⁵	1	1	yes	characteristic
1211	C₂×C₈	C₂⁵	1	4	yes	—
1212	C₂×C₈	C₂⁵	1	4	yes	—
1213	C₂×C₈	C₂⁵	1	4	yes	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	4	no	—
1216	C₄⋊C₄	—	2	4	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	2	4	no	—
1219	C₄⋊C₄	—	2	8	no	—
1220	C₄⋊C₄	—	2	4	no	—
1221	C₄⋊C₄	—	2	4	no	—
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	2	8	no	—
1224	C₄⋊C₄	—	2	8	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	4	no	—
1227	C₄⋊C₄	—	2	4	no	—
1228	C₄⋊C₄	—	2	1	no	—
1229	C₄⋊C₄	—	2	4	no	—
1230	C₄⋊C₄	—	2	4	no	—
1231	C₄⋊C₄	—	2	4	no	—
1232	C₄⋊C₄	—	2	4	no	—
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1236	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1237	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1238	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1239	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1240	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1241	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1242	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1243	C₄⋊C₄	C₂⁵	1	4	yes	—
1244	C₄⋊C₄	C₂⁵	1	4	yes	—
1245	C₄⋊C₄	C₂⁵	1	4	yes	—
1246	C₄⋊C₄	C₂⁵	1	2	yes	—
1247	C₂²⋊C₄	—	2	4	no	—
1248	C₂²⋊C₄	—	2	8	no	—
1249	C₂²⋊C₄	—	2	8	no	—
1250	C₂²⋊C₄	—	2	4	no	—
1251	C₂²⋊C₄	—	2	4	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	4	no	—
1254	C₂²⋊C₄	—	2	4	no	—
1255	C₂²⋊C₄	—	2	8	no	—
1256	C₂²⋊C₄	—	2	4	no	—
1257	C₂²⋊C₄	—	2	4	no	—
1258	C₂²⋊C₄	—	2	8	no	—
1259	C₂²⋊C₄	—	2	4	no	—
1260	C₂²⋊C₄	—	2	4	no	—
1261	C₂²⋊C₄	—	2	8	no	—
1262	C₂²⋊C₄	—	2	8	no	—
1263	C₂²⋊C₄	—	2	4	no	—
1264	C₂²⋊C₄	—	2	8	no	—
1265	C₂²⋊C₄	—	2	8	no	—
1266	C₂²⋊C₄	—	2	4	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	4	no	—
1269	C₂²⋊C₄	—	2	8	no	—
1270	C₂²⋊C₄	—	2	4	no	—
1271	C₂²⋊C₄	—	2	4	no	—
1272	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1273	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1274	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1275	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1276	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1277	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1278	C₄²	—	2	4	no	—
1279	C₄²	—	2	2	no	—
1280	C₄²	—	2	4	no	—
1281	C₄²	—	2	8	no	—
1282	C₄²	—	2	2	no	—
1283	C₄²	C₂²×D₄	1	4	yes	—
1284	C₄²	C₂²×D₄	1	8	yes	—
1285	C₄²	C₂²×D₄	1	4	yes	—
1286	C₄²	C₂²×D₄	1	2	yes	—
1287	C₄²	C₂⁵	1	2	yes	—
1288	C₄²	C₂⁵	1	4	yes	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	8	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	4	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	4	2	no	—
1297	C₂³	—	4	4	no	—
1298	C₂³	—	4	4	no	—
1299	C₂³	—	4	2	no	—
1300	C₂³	—	4	8	no	—
1301	C₂³	—	4	8	no	—
1302	C₂³	—	4	8	no	—
1303	C₂³	—	4	16	no	—
1304	C₂³	—	4	8	no	—
1305	C₂³	—	4	2	no	—
1306	C₂³	—	4	8	no	—
1307	C₂³	—	4	8	no	—
1308	C₂³	—	4	4	no	—
1309	C₂³	—	4	8	no	—
1310	C₂³	—	8	1	no	—
1311	C₂³	—	8	4	no	—
1312	C₂³	—	8	4	no	—
1313	C₂³	—	8	4	no	—
1314	C₂³	—	8	2	no	—
1315	C₂³	—	8	4	no	—
1316	C₂³	—	8	4	no	—
1317	C₂³	—	8	8	no	—
1318	C₂³	—	8	4	no	—
1319	C₂³	—	8	2	no	—
1320	C₂³	—	8	4	no	—
1321	C₂³	—	8	4	no	—
1322	C₂³	—	8	8	no	—
1323	C₂³	—	16	16	no	—
1324	C₂³	—	16	32	no	—
1325	C₂³	C₂×AGL(1,ℤ/8)	1	8	yes	—
1326	C₂³	C₂³×D₄	1	4	yes	—
1327	C₂³	C₂³×D₄	1	4	yes	—
1328	C₂³	C₂³×D₄	1	1	yes	characteristic
1329	Q₈	—	2	4	no	—
1330	Q₈	—	2	2	no	—
1331	Q₈	—	2	2	no	—
1332	Q₈	—	4	8	no	—
1333	Q₈	—	4	4	no	—
1334	Q₈	—	4	4	no	—
1335	Q₈	—	8	1	no	—
1336	Q₈	—	8	4	no	—
1337	D₄	—	2	16	no	—
1338	D₄	—	2	8	no	—
1339	D₄	—	2	4	no	—
1340	D₄	—	2	4	no	—
1341	D₄	—	2	4	no	—
1342	D₄	—	2	1	no	—
1343	D₄	—	2	1	no	—
1344	D₄	—	2	4	no	—
1345	D₄	—	2	1	no	—
1346	D₄	—	2	4	no	—
1347	D₄	—	2	4	no	—
1348	D₄	—	2	4	no	—
1349	D₄	—	4	8	no	—
1350	D₄	—	4	8	no	—
1351	D₄	—	4	2	no	—
1352	D₄	—	4	16	no	—
1353	D₄	—	4	8	no	—
1354	D₄	—	4	16	no	—
1355	D₄	—	4	8	no	—
1356	D₄	—	4	8	no	—
1357	D₄	—	4	16	no	—
1358	D₄	—	4	16	no	—
1359	D₄	—	4	8	no	—
1360	D₄	—	4	16	no	—
1361	D₄	—	4	8	no	—
1362	D₄	—	4	4	no	—
1363	D₄	—	4	8	no	—
1364	D₄	—	4	4	no	—
1365	D₄	—	8	4	no	—
1366	D₄	—	8	8	no	—
1367	D₄	—	8	4	no	—
1368	D₄	—	8	4	no	—
1369	D₄	—	8	2	no	—
1370	D₄	—	8	4	no	—
1371	D₄	—	8	8	no	—
1372	D₄	—	8	4	no	—
1373	D₄	—	8	2	no	—
1374	D₄	—	8	2	no	—
1375	D₄	—	8	4	no	—
1376	D₄	—	8	8	no	—
1377	D₄	—	8	4	no	—
1378	D₄	C₂×AGL(1,ℤ/8)	1	16	yes	—
1379	D₄	#585	1	2	yes	—
1380	C₂×C₄	—	2	8	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	8	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	2	no	—
1390	C₂×C₄	—	2	4	no	—
1391	C₂×C₄	—	2	4	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	4	no	—
1394	C₂×C₄	—	2	2	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	—	4	8	no	—
1397	C₂×C₄	—	4	2	no	—
1398	C₂×C₄	—	4	4	no	—
1399	C₂×C₄	—	4	4	no	—
1400	C₂×C₄	—	4	1	no	—
1401	C₂×C₄	—	4	4	no	—
1402	C₂×C₄	—	4	8	no	—
1403	C₂×C₄	—	4	16	no	—
1404	C₂×C₄	—	4	8	no	—
1405	C₂×C₄	—	4	8	no	—
1406	C₂×C₄	—	4	8	no	—
1407	C₂×C₄	—	4	2	no	—
1408	C₂×C₄	—	4	8	no	—
1409	C₂×C₄	—	4	4	no	—
1410	C₂×C₄	—	4	8	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	—	4	8	no	—
1413	C₂×C₄	—	8	4	no	—
1414	C₂×C₄	—	8	8	no	—
1415	C₂×C₄	—	8	4	no	—
1416	C₂×C₄	—	8	1	no	—
1417	C₂×C₄	—	8	4	no	—
1418	C₂×C₄	—	8	4	no	—
1419	C₂×C₄	—	8	2	no	—
1420	C₂×C₄	—	8	1	no	—
1421	C₂×C₄	C₂×AGL(1,ℤ/8)	1	4	yes	—
1422	C₂×C₄	C₂³×D₄	1	4	yes	—
1423	C₂×C₄	C₂³×D₄	1	4	yes	—
1424	C₂×C₄	C₂³×D₄	1	2	yes	—
1425	C₂×C₄	C₂³×D₄	1	4	yes	—
1426	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1427	C₂×C₄	C₂³×D₄	1	4	yes	—
1428	C₂×C₄	C₂³×D₄	1	2	yes	—
1429	C₂×C₄	C₂⁶	1	1	yes	characteristic
1430	C₈	—	2	4	no	—
1431	C₈	—	2	2	no	—
1432	C₈	—	2	1	no	—
1433	C₈	—	2	1	no	—
1434	C₈	—	2	4	no	—
1435	C₈	—	2	4	no	—
1436	C₂²	—	2	1	no	—
1437	C₂²	—	2	4	no	—
1438	C₂²	—	2	1	no	—
1439	C₂²	—	2	4	no	—
1440	C₂²	—	2	4	no	—
1441	C₂²	—	2	2	no	—
1442	C₂²	—	2	4	no	—
1443	C₂²	—	2	4	no	—
1444	C₂²	—	4	8	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	4	no	—
1448	C₂²	—	4	4	no	—
1449	C₂²	—	4	4	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	4	no	—
1452	C₂²	—	4	4	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	4	no	—
1455	C₂²	—	4	4	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	4	no	—
1458	C₂²	—	4	4	no	—
1459	C₂²	—	8	8	no	—
1460	C₂²	—	8	4	no	—
1461	C₂²	—	8	16	no	—
1462	C₂²	—	8	16	no	—
1463	C₂²	—	16	8	no	—
1464	C₂²	—	16	4	no	—
1465	C₂²	—	16	8	no	—
1466	C₂²	—	16	8	no	—
1467	C₂²	—	16	16	no	—
1468	C₂²	C₂²×AGL(1,ℤ/8)	1	8	yes	—
1469	C₂²	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1470	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1471	C₄	—	2	4	no	—
1472	C₄	—	2	4	no	—
1473	C₄	—	2	1	no	—
1474	C₄	—	2	4	no	—
1475	C₄	—	2	4	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	4	2	no	—
1478	C₄	—	4	4	no	—
1479	C₄	—	4	2	no	—
1480	C₄	—	4	4	no	—
1481	C₄	—	4	1	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	4	no	—
1484	C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1485	C₄	C₂×#585	1	1	yes	characteristic
1486	C₄	H(7,𝔽₂)	1	1	yes	characteristic
1487	C₂	—	2	2	no	—
1488	C₂	—	2	8	no	—
1489	C₂	—	4	4	no	—
1490	C₂	—	4	2	no	—
1491	C₂	—	8	1	no	—
1492	C₂	—	8	4	no	—
1493	C₂	—	8	4	no	—
1494	C₂	—	8	4	no	—
1495	C₂	#62987	1	1	yes	characteristic
1496	C₂	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1497	C₂	#63091	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂⁴×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₄×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62992	C₂	semidirect
2. D₄×H(5,𝔽₂)	C₂	semidirect
3. #62576	C₂	semidirect
4. #62535	C₂	semidirect
5. #62299	C₂	semidirect
6. #62253	C₂	semidirect
7. #62245	C₂	semidirect
8. #62137	C₂	semidirect
9. #62110	C₂	semidirect
10. #61979	C₂	semidirect
11. #61963	C₂	semidirect
12. #61733	C₂	semidirect
13. #61707	C₂	semidirect
14. #61697	C₂	semidirect
15. #61591	C₂	semidirect
16. #61571	C₂	semidirect
17. #61559	C₂	semidirect
18. #61451	C₂	semidirect
19. #61439	C₂	semidirect
20. #61155	C₂	semidirect
21. C₂×#3318	C₂	semidirect
22. C₂×#3295	C₂	semidirect
23. #60309	C₂	semidirect
26. #3519	C₂²	semidirect
27. #3515	C₂²	semidirect
30. #3511	C₂²	semidirect
32. #3505	C₂²	semidirect
33. #3498	C₂²	semidirect
34. #3498	C₂²	semidirect
37. #3496	C₂²	semidirect
38. #3496	C₂²	semidirect
39. #3496	C₂²	semidirect
45. #3481	C₂²	semidirect
46. #3480	C₂²	semidirect
47. #3475	C₂²	semidirect
48. C₂×#554	C₂²	semidirect
49. C₂×#553	C₂²	semidirect
50. D₄×#41	C₂²	semidirect
51. D₄×#41	C₂²	semidirect
53. C₂×D₄²	C₂²	semidirect
54. C₂×D₄²	C₂²	semidirect
57. #3399	C₂²	semidirect
58. #3399	C₂²	semidirect
59. #3386	C₂²	semidirect
60. #3384	C₂²	semidirect
61. #3373	C₂²	semidirect
62. #3368	C₂²	semidirect
63. #3368	C₂²	semidirect
64. #3366	C₂²	semidirect
65. #3366	C₂²	semidirect
66. #3366	C₂²	semidirect
67. #3354	C₂²	semidirect
68. #3353	C₂²	semidirect
69. #3345	C₂²	semidirect
70. #3345	C₂²	semidirect
71. #3345	C₂²	semidirect
72. #3345	C₂²	semidirect
73. #3343	C₂²	semidirect
74. #3335	C₂²	semidirect
75. #3335	C₂²	semidirect
76. #3334	C₂²	semidirect
77. #3332	C₂²	semidirect
78. #3325	C₂²	semidirect
79. #3325	C₂²	semidirect
80. #3325	C₂²	semidirect
81. #3324	C₂²	semidirect
82. #3324	C₂²	semidirect
83. #3318	C₂²	semidirect
84. #3318	C₂²	semidirect
85. #3318	C₂²	semidirect
86. #3318	C₂²	semidirect
87. #3318	C₂²	semidirect
88. #3318	C₂²	semidirect
89. #3318	C₂²	semidirect
90. #3318	C₂²	semidirect
91. #3318	C₂²	semidirect
92. #3318	C₂²	semidirect
93. #3318	C₂²	semidirect
94. #3310	C₂²	semidirect
95. #3310	C₂²	semidirect
96. #3310	C₂²	semidirect
97. #3308	C₂²	semidirect
98. #3306	C₂²	semidirect
99. #3295	C₂²	semidirect
100. #3295	C₂²	semidirect
101. #3295	C₂²	semidirect
102. #3295	C₂²	semidirect
103. #3295	C₂²	semidirect
104. #3295	C₂²	semidirect
105. #3294	C₂²	semidirect
106. #3294	C₂²	semidirect
107. #3294	C₂²	semidirect
108. #3294	C₂²	semidirect
109. D₄×D₈	C₂²	semidirect
110. D₄×D₈	C₂²	semidirect
111. D₄×D₈	C₂²	semidirect
112. #3274	C₂²	semidirect
113. #3274	C₂²	semidirect
114. #3265	C₂²	semidirect
115. #3265	C₂²	semidirect
116. #3264	C₂²	semidirect
117. #3264	C₂²	semidirect
118. #3264	C₂²	semidirect
119. #3253	C₂²	semidirect
120. #3251	C₂²	semidirect
121. #3247	C₂²	semidirect
122. #3245	C₂²	semidirect
123. #3235	C₂²	semidirect
124. #3234	C₂²	semidirect
125. #3228	C₂²	semidirect
126. #3227	C₂²	semidirect
127. #3217	C₂²	semidirect
128. #3217	C₂²	semidirect
129. #3205	C₂²	semidirect
130. #3205	C₂²	semidirect
131. #3194	C₂²	semidirect
132. #3192	C₂²	semidirect
133. #3188	C₂²	semidirect
134. #3187	C₂²	semidirect
135. #3186	C₂²	semidirect
136. #3186	C₂²	semidirect
137. #3184	C₂²	semidirect
138. #3180	C₂²	semidirect
139. #3171	C₂²	semidirect
140. #3169	C₂²	semidirect
141. #3138	C₂²	semidirect
142. C₂×#490	C₂²	semidirect
143. C₂×#486	C₂²	semidirect
144. #3115	C₂²	semidirect
145. #3114	C₂²	semidirect
146. #3109	C₂²	semidirect
147. #3109	C₂²	semidirect
148. #3106	C₂²	semidirect
149. #3105	C₂²	semidirect
150. #3103	C₂²	semidirect
151. #3100	C₂²	semidirect
152. #3094	C₂²	semidirect
153. C₂×#481	C₂²	semidirect
154. C₂×#481	C₂²	semidirect
155. C₂×#482	C₂²	semidirect
156. #3077	C₂²	semidirect
157. C₂×#478	C₂²	semidirect
158. C₂×#476	C₂²	semidirect
159. #3055	C₂²	semidirect
160. C₂×#469	C₂²	semidirect
161. C₂×#466	C₂²	semidirect
162. C₂×#465	C₂²	semidirect
163. #3038	C₂²	semidirect
164. C₂×#460	C₂²	semidirect
165. C₂×#459	C₂²	semidirect
166. #3003	C₂²	semidirect
167. C₂×#450	C₂²	semidirect
168. C₂×#447	C₂²	semidirect
169. C₂×#447	C₂²	semidirect
170. #2990	C₂²	semidirect
171. #2989	C₂²	semidirect
172. #2974	C₂²	semidirect
173. #2973	C₂²	semidirect
174. #2972	C₂²	semidirect
175. #2970	C₂²	semidirect
176. #2965	C₂²	semidirect
177. C₄×AGL(1,ℤ/8)	C₂²	semidirect
178. C₂×#442	C₂²	semidirect
179. C₂×C₄×SD₁₆	C₂²	semidirect
180. D₄×M₁₆	C₂²	semidirect
181. C₂×#435	C₂²	semidirect
182. C₂×C₈×D₄	C₂²	semidirect
183. C₂×#418	C₂²	semidirect
184. C₂²×#102	C₂²	semidirect
201. C₂×AGL(1,ℤ/8)	C₂³	semidirect
203. C₂²×SD₁₆	C₂³	semidirect
205. C₂²×D₈	C₂³	semidirect
206. C₂²×D₈	C₂³	semidirect
207. C₂²×M₁₆	C₂³	semidirect
208. C₂³×C₈	C₂³	semidirect
210. #559	C₂³	semidirect
211. #557	C₂³	semidirect
214. #556	C₂³	semidirect
215. #555	C₂³	semidirect
217. #554	C₂³	semidirect
218. #554	C₂³	semidirect
219. #554	C₂³	semidirect
226. #553	C₂³	semidirect
227. #553	C₂³	semidirect
228. #553	C₂³	semidirect
229. #553	C₂³	semidirect
233. #552	C₂³	semidirect
241. #550	C₂³	semidirect
246. #548	C₂³	semidirect
253. #547	C₂³	semidirect
268. #546	C₂³	semidirect
290. D₄²	C₂³	semidirect
313. #533	C₂³	semidirect
319. #532	C₂³	semidirect
320. #532	C₂³	semidirect
321. C₂×C₄⋊Q₈	C₂³	semidirect
329. #529	C₂³	semidirect
330. #529	C₂³	semidirect
333. C₂×#125	C₂³	semidirect
339. #525	C₂³	semidirect
342. C₂×C₂²⋊Q₈	C₂³	semidirect
351. C₂×#121	C₂³	semidirect
352. C₂×#121	C₂³	semidirect
370. C₄×#41	C₂³	semidirect
371. C₂×C₄×Q₈	C₂³	semidirect
381. C₂×C₄×D₄	C₂³	semidirect
382. C₂×#117	C₂³	semidirect
383. C₂²×C₄⋊C₄	C₂³	semidirect
384. #501	C₂³	semidirect
385. #501	C₂³	semidirect
386. #500	C₂³	semidirect
387. #498	C₂³	semidirect
388. #496	C₂³	semidirect
389. #496	C₂³	semidirect
390. #493	C₂³	semidirect
391. #493	C₂³	semidirect
392. #490	C₂³	semidirect
393. #490	C₂³	semidirect
394. #490	C₂³	semidirect
395. #490	C₂³	semidirect
396. #490	C₂³	semidirect
397. #489	C₂³	semidirect
398. #486	C₂³	semidirect
399. #486	C₂³	semidirect
400. #486	C₂³	semidirect
401. #486	C₂³	semidirect
402. #486	C₂³	semidirect
403. #486	C₂³	semidirect
404. #484	C₂³	semidirect
405. #483	C₂³	semidirect
406. #482	C₂³	semidirect
407. #482	C₂³	semidirect
408. #482	C₂³	semidirect
409. #482	C₂³	semidirect
410. #482	C₂³	semidirect
411. #482	C₂³	semidirect
412. #482	C₂³	semidirect
413. #481	C₂³	semidirect
414. #481	C₂³	semidirect
415. #481	C₂³	semidirect
416. #481	C₂³	semidirect
417. #481	C₂³	semidirect
418. #481	C₂³	semidirect
419. #481	C₂³	semidirect
420. #481	C₂³	semidirect
421. #480	C₂³	semidirect
422. #480	C₂³	semidirect
423. #480	C₂³	semidirect
424. #480	C₂³	semidirect
427. #478	C₂³	semidirect
428. #478	C₂³	semidirect
429. #478	C₂³	semidirect
430. #478	C₂³	semidirect
431. #478	C₂³	semidirect
432. #477	C₂³	semidirect
434. #476	C₂³	semidirect
435. #476	C₂³	semidirect
436. #476	C₂³	semidirect
437. #476	C₂³	semidirect
438. #476	C₂³	semidirect
439. #475	C₂³	semidirect
440. #475	C₂³	semidirect
442. #474	C₂³	semidirect
443. #474	C₂³	semidirect
444. #474	C₂³	semidirect
445. #469	C₂³	semidirect
446. #469	C₂³	semidirect
447. #469	C₂³	semidirect
448. #469	C₂³	semidirect
449. #469	C₂³	semidirect
450. #469	C₂³	semidirect
451. #469	C₂³	semidirect
452. #468	C₂³	semidirect
453. #468	C₂³	semidirect
454. #468	C₂³	semidirect
455. #466	C₂³	semidirect
456. #466	C₂³	semidirect
457. #466	C₂³	semidirect
458. #466	C₂³	semidirect
459. #466	C₂³	semidirect
460. #466	C₂³	semidirect
461. #466	C₂³	semidirect
462. #465	C₂³	semidirect
463. #465	C₂³	semidirect
464. #465	C₂³	semidirect
465. #465	C₂³	semidirect
467. #463	C₂³	semidirect
468. #463	C₂³	semidirect
469. #460	C₂³	semidirect
470. #460	C₂³	semidirect
471. #460	C₂³	semidirect
472. #460	C₂³	semidirect
473. #460	C₂³	semidirect
474. #460	C₂³	semidirect
476. #459	C₂³	semidirect
477. #459	C₂³	semidirect
478. #459	C₂³	semidirect
479. #459	C₂³	semidirect
480. #459	C₂³	semidirect
481. #459	C₂³	semidirect
482. #459	C₂³	semidirect
483. #459	C₂³	semidirect
484. #459	C₂³	semidirect
485. #459	C₂³	semidirect
488. #450	C₂³	semidirect
489. #450	C₂³	semidirect
490. #450	C₂³	semidirect
491. #449	C₂³	semidirect
492. #449	C₂³	semidirect
493. #449	C₂³	semidirect
494. #448	C₂³	semidirect
499. #447	C₂³	semidirect
500. #447	C₂³	semidirect
501. #447	C₂³	semidirect
502. #447	C₂³	semidirect
503. #447	C₂³	semidirect
504. #447	C₂³	semidirect
505. #447	C₂³	semidirect
506. #447	C₂³	semidirect
507. #446	C₂³	semidirect
508. #446	C₂³	semidirect
509. #446	C₂³	semidirect
512. #442	C₂³	semidirect
513. #442	C₂³	semidirect
514. #442	C₂³	semidirect
515. #442	C₂³	semidirect
516. #442	C₂³	semidirect
518. #440	C₂³	semidirect
519. #440	C₂³	semidirect
522. C₄×SD₁₆	C₂³	semidirect
523. C₄×SD₁₆	C₂³	semidirect
524. C₄×SD₁₆	C₂³	semidirect
525. C₄×SD₁₆	C₂³	semidirect
527. C₄×D₈	C₂³	semidirect
528. C₄×D₈	C₂³	semidirect
529. C₄×D₈	C₂³	semidirect
530. #436	C₂³	semidirect
531. #436	C₂³	semidirect
532. #436	C₂³	semidirect
533. #435	C₂³	semidirect
534. #435	C₂³	semidirect
535. #435	C₂³	semidirect
536. #435	C₂³	semidirect
537. #435	C₂³	semidirect
538. #435	C₂³	semidirect
539. #435	C₂³	semidirect
540. C₈×D₄	C₂³	semidirect
541. C₈×D₄	C₂³	semidirect
542. C₈×D₄	C₂³	semidirect
543. C₈×D₄	C₂³	semidirect
544. #432	C₂³	semidirect
545. #432	C₂³	semidirect
546. #431	C₂³	semidirect
547. #431	C₂³	semidirect
548. #428	C₂³	semidirect
549. #428	C₂³	semidirect
550. C₂×#107	C₂³	semidirect
551. C₂×#106	C₂³	semidirect
552. C₂×#106	C₂³	semidirect
553. C₂×#106	C₂³	semidirect
554. C₂×#106	C₂³	semidirect
555. #423	C₂³	semidirect
556. C₂×C₄⋊C₈	C₂³	semidirect
557. C₂×C₄⋊C₈	C₂³	semidirect
560. #418	C₂³	semidirect
561. #418	C₂³	semidirect
562. #418	C₂³	semidirect
563. #417	C₂³	semidirect
564. C₂×#103	C₂³	semidirect
570. C₂×#102	C₂³	semidirect
571. C₂×#102	C₂³	semidirect
572. C₂×#102	C₂³	semidirect
573. C₂×#102	C₂³	semidirect
574. C₂×#102	C₂³	semidirect
575. C₂×#102	C₂³	semidirect
576. C₂×#102	C₂³	semidirect
577. C₂×#102	C₂³	semidirect
578. C₂×#102	C₂³	semidirect
579. C₂×#102	C₂³	semidirect
580. #407	C₂³	semidirect
581. C₂×C₂²⋊C₈	C₂³	semidirect
582. C₂×C₂²⋊C₈	C₂³	semidirect
583. C₂×C₂²⋊C₈	C₂³	semidirect
584. C₄×M₁₆	C₂³	semidirect
585. C₂×#97	C₂³	semidirect
586. C₂×C₄×C₈	C₂³	semidirect
1135. C₂×D₄	AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
#62992	2
D₄×H(5,𝔽₂)	2
#62576	2
#62535	2
#62299	2
#62253	2
#62245	2
#62137	2
#62110	2
#61979	2
#61963	2
#61733	2
#61707	2
#61697	2
#61591	2
#61571	2
#61559	2
#61451	2
#61439	2
#61155	2
C₂×#3318	2
C₂×#3295	2
#60309	2