Subgroups — #10583065

Order 512.

7881 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62985	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	#62453	C₂	1	2	yes	maximal, complemented
4	#62421	C₂	1	3	yes	maximal, complemented
5	#62413	C₂	1	1	yes	maximal, characteristic, complemented
6	#62295	C₂	1	6	yes	maximal, complemented
7	#62259	C₂	1	3	yes	maximal, complemented
8	#62003	C₂	1	2	yes	maximal, complemented
9	#61999	C₂	1	2	yes	maximal, complemented
10	#61962	C₂	1	3	yes	maximal, complemented
11	#61959	C₂	1	3	yes	maximal, complemented
12	#61948	C₂	1	1	yes	maximal, characteristic, complemented
13	#61947	C₂	1	1	yes	maximal, characteristic, complemented
14	#61600	C₂	1	6	yes	maximal, complemented
15	#61598	C₂	1	6	yes	maximal, complemented
16	#61585	C₂	1	3	yes	maximal, complemented
17	#61582	C₂	1	3	yes	maximal, complemented
18	#61466	C₂	1	2	yes	maximal, complemented
19	#61437	C₂	1	3	yes	maximal, complemented
20	D₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×AGL(1,ℤ/8)	C₂	1	6	yes	maximal, complemented
22	C₂×#3272	C₂	1	3	yes	maximal, complemented
23	#60325	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×H(5,𝔽₂)	—	2	1	no	—
25	C₂²×AGL(1,ℤ/8)	C₂²	1	6	yes	complemented
26	#3522	—	2	2	no	—
27	#3520	C₂²	1	6	yes	complemented
28	#3517	C₂²	1	2	yes	complemented
29	#3513	—	2	6	no	—
30	#3511	C₂²	1	3	yes	complemented
31	#3506	C₂²	1	3	yes	complemented
32	#3503	C₂²	1	1	yes	characteristic, complemented
33	#3498	C₂²	1	1	yes	characteristic
34	#3498	C₂²	1	3	yes	complemented
35	#3498	C₂²	1	2	yes	complemented
36	#3496	C₂²	1	3	yes	complemented
37	#3496	C₂²	1	6	yes	complemented
38	#3494	—	2	3	no	—
39	#3492	—	2	3	no	—
40	#3488	—	2	1	no	—
41	#3488	—	2	1	no	—
42	#3488	—	2	3	no	—
43	#3488	—	2	2	no	—
44	#3484	—	2	3	no	—
45	#3484	—	2	6	no	—
46	#3482	C₂²	1	2	yes	complemented
47	#3475	C₂²	1	3	yes	complemented
48	D₄×#41	C₂²	1	1	yes	characteristic
49	D₄×#41	C₂²	1	6	yes	complemented
50	D₄×#41	C₂²	1	3	yes	complemented
51	D₄×#41	C₂²	1	2	yes	complemented
52	D₄×#41	C₂²	1	1	yes	characteristic, complemented
53	C₂×#547	C₂²	1	3	yes	complemented
54	C₂×D₄²	C₂²	1	3	yes	complemented
55	C₂×D₄²	C₂²	1	6	yes	complemented
56	C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
57	C₂×#520	—	2	1	no	—
58	#3397	C₂²	1	6	yes	complemented
59	#3397	C₂²	1	3	yes	complemented
60	#3392	C₂²	1	2	yes	complemented
61	#3392	C₂²	1	2	yes	complemented
62	#3392	C₂²	1	2	yes	complemented
63	#3391	C₂²	1	2	yes	complemented
64	#3391	C₂²	1	1	yes	characteristic, complemented
65	#3384	C₂²	1	1	yes	characteristic, complemented
66	Q₈×D₈	C₂²	1	1	yes	characteristic, complemented
67	#3367	C₂²	1	3	yes	complemented
68	#3366	C₂²	1	3	yes	complemented
69	#3359	C₂²	1	2	yes	complemented
70	#3358	C₂²	1	1	yes	characteristic, complemented
71	#3358	C₂²	1	2	yes	complemented
72	#3358	C₂²	1	1	yes	characteristic, complemented
73	#3354	C₂²	1	3	yes	complemented
74	#3353	C₂²	1	6	yes	complemented
75	#3343	C₂²	1	6	yes	complemented
76	#3334	C₂²	1	3	yes	complemented
77	#3332	C₂²	1	6	yes	complemented
78	#3330	C₂²	1	6	yes	complemented
79	#3330	C₂²	1	6	yes	complemented
80	#3330	C₂²	1	6	yes	complemented
81	#3330	C₂²	1	3	yes	complemented
82	#3325	C₂²	1	3	yes	complemented
83	#3325	C₂²	1	6	yes	complemented
84	#3324	C₂²	1	6	yes	complemented
85	#3324	C₂²	1	6	yes	complemented
86	#3324	C₂²	1	6	yes	complemented
87	#3310	C₂²	1	6	yes	complemented
88	#3310	C₂²	1	12	yes	complemented
89	#3308	C₂²	1	12	yes	complemented
90	#3306	C₂²	1	6	yes	complemented
91	#3298	C₂²	1	6	yes	complemented
92	#3294	C₂²	1	3	yes	complemented
93	#3294	C₂²	1	6	yes	complemented
94	#3294	C₂²	1	3	yes	complemented
95	D₄×SD₁₆	C₂²	1	6	yes	complemented
96	D₄×SD₁₆	C₂²	1	6	yes	complemented
97	D₄×SD₁₆	C₂²	1	6	yes	complemented
98	D₄×D₈	C₂²	1	3	yes	complemented
99	D₄×D₈	C₂²	1	6	yes	complemented
100	#3274	C₂²	1	6	yes	complemented
101	#3274	C₂²	1	6	yes	complemented
102	#3274	C₂²	1	6	yes	complemented
103	#3272	C₂²	1	6	yes	complemented
104	#3272	C₂²	1	6	yes	complemented
105	#3272	C₂²	1	6	yes	complemented
106	#3272	C₂²	1	3	yes	complemented
107	#3272	C₂²	1	6	yes	complemented
108	#3272	C₂²	1	6	yes	complemented
109	#3272	C₂²	1	6	yes	complemented
110	#3272	C₂²	1	6	yes	complemented
111	#3272	C₂²	1	6	yes	complemented
112	#3272	C₂²	1	6	yes	complemented
113	#3272	C₂²	1	6	yes	complemented
114	#3265	C₂²	1	12	yes	complemented
115	#3265	C₂²	1	12	yes	complemented
116	#3265	C₂²	1	12	yes	complemented
117	#3264	C₂²	1	6	yes	complemented
118	#3264	C₂²	1	12	yes	complemented
119	#3254	C₂²	1	6	yes	complemented
120	#3251	C₂²	1	6	yes	complemented
121	#3246	C₂²	1	3	yes	complemented
122	#3245	C₂²	1	3	yes	complemented
123	#3217	C₂²	1	6	yes	complemented
124	#3214	C₂²	1	6	yes	complemented
125	#3208	C₂²	1	3	yes	complemented
126	#3208	C₂²	1	6	yes	complemented
127	#3207	C₂²	1	6	yes	complemented
128	#3206	C₂²	1	3	yes	complemented
129	#3206	C₂²	1	3	yes	complemented
130	#3205	C₂²	1	3	yes	complemented
131	#3194	C₂²	1	12	yes	complemented
132	#3193	C₂²	1	12	yes	complemented
133	#3188	C₂²	1	12	yes	complemented
134	#3182	C₂²	1	6	yes	complemented
135	#3171	C₂²	1	6	yes	complemented
136	#3169	C₂²	1	3	yes	complemented
137	#3167	C₂²	1	3	yes	complemented
138	#3151	C₂²	1	6	yes	complemented
139	C₂×#492	C₂²	1	3	yes	complemented
140	#3115	C₂²	1	6	yes	complemented
141	#3110	C₂²	1	6	yes	complemented
142	#3106	C₂²	1	6	yes	complemented
143	#3105	C₂²	1	6	yes	complemented
144	#3101	C₂²	1	3	yes	complemented
145	#3100	C₂²	1	3	yes	complemented
146	#3100	C₂²	1	3	yes	complemented
147	#3100	C₂²	1	3	yes	complemented
148	#3055	C₂²	1	12	yes	complemented
149	C₂×#468	C₂²	1	6	yes	complemented
150	#3038	C₂²	1	6	yes	complemented
151	#3036	C₂²	1	6	yes	complemented
152	C₂×#461	C₂²	1	3	yes	complemented
153	C₂×#459	C₂²	1	3	yes	complemented
154	#3006	C₂²	1	12	yes	complemented
155	#3003	C₂²	1	12	yes	complemented
156	C₂×#449	C₂²	1	6	yes	complemented
157	C₂×#450	C₂²	1	6	yes	complemented
158	#2991	C₂²	1	2	yes	complemented
159	#2989	C₂²	1	3	yes	complemented
160	#2988	C₂²	1	1	yes	characteristic, complemented
161	#2975	C₂²	1	3	yes	complemented
162	#2974	C₂²	1	6	yes	complemented
163	#2971	C₂²	1	2	yes	complemented
164	#2965	C₂²	1	3	yes	complemented
165	C₈×#41	C₂²	1	1	yes	characteristic, complemented
166	C₄×AGL(1,ℤ/8)	C₂²	1	6	yes	complemented
167	C₂×C₄×D₈	C₂²	1	3	yes	complemented
168	D₄×M₁₆	C₂²	1	6	yes	complemented
169	C₂×#436	C₂²	1	3	yes	complemented
170	C₂×H(5,𝔽₂)	—	2	1	no	—
171	C₂×H(5,𝔽₂)	—	2	3	no	—
172	C₂×H(5,𝔽₂)	—	2	2	no	—
173	C₂×H(5,𝔽₂)	—	2	3	no	—
174	C₂×H(5,𝔽₂)	—	2	6	no	—
175	C₂×H(5,𝔽₂)	—	4	16	no	—
176	C₂×H(5,𝔽₂)	D₄	1	1	yes	characteristic
177	C₂²×#41	—	2	1	no	—
178	C₂²×#41	—	2	3	no	—
179	C₂²×#41	—	2	2	no	—
180	C₂²×#41	—	2	1	no	—
181	C₂²×#41	C₂³	1	6	yes	complemented
182	C₂³×D₄	—	2	3	no	—
183	C₂³×D₄	—	2	6	no	—
184	C₂³×D₄	C₂³	1	6	yes	—
185	C₂×AGL(1,ℤ/8)	—	4	24	no	—
186	C₂×AGL(1,ℤ/8)	C₂³	1	6	yes	—
187	C₂×AGL(1,ℤ/8)	C₂³	1	12	yes	—
188	C₂×AGL(1,ℤ/8)	C₂³	1	12	yes	complemented
189	C₂×AGL(1,ℤ/8)	C₂³	1	12	yes	complemented
190	C₂×AGL(1,ℤ/8)	C₂³	1	12	yes	complemented
191	C₂²×SD₁₆	C₂³	1	6	yes	—
192	C₂²×SD₁₆	C₂³	1	6	yes	complemented
193	C₂²×SD₁₆	C₂³	1	6	yes	complemented
194	C₂²×D₈	C₂³	1	3	yes	—
195	C₂²×D₈	C₂³	1	6	yes	complemented
196	C₂²×M₁₆	C₂³	1	6	yes	complemented
197	#559	—	2	6	no	—
198	Q₈²	—	2	1	no	—
199	#557	C₂³	1	2	yes	complemented
200	#556	C₂³	1	3	yes	complemented
201	#556	C₂³	1	6	yes	complemented
202	#555	—	2	3	no	—
203	#555	C₂³	1	3	yes	complemented
204	#554	—	2	3	no	—
205	#554	—	2	3	no	—
206	#554	—	2	6	no	—
207	#554	C₂³	1	1	yes	characteristic, complemented
208	#553	—	2	3	no	—
209	#553	—	2	6	no	—
210	#553	—	2	6	no	—
211	#553	—	2	6	no	—
212	#552	—	2	3	no	—
213	#552	—	2	6	no	—
214	#552	C₂³	1	6	yes	complemented
215	#551	—	2	6	no	—
216	#551	—	2	12	no	—
217	#550	—	2	2	no	—
218	#550	—	2	1	no	—
219	#550	—	2	2	no	—
220	#550	—	2	3	no	—
221	#550	C₂³	1	1	yes	characteristic
222	#550	C₂³	1	2	yes	—
223	#550	C₂³	1	3	yes	—
224	#550	C₂³	1	6	yes	complemented
225	#550	C₂³	1	1	yes	characteristic, complemented
226	D₄×Q₈	C₂³	1	1	yes	characteristic
227	D₄×Q₈	C₂³	1	1	yes	characteristic
228	D₄×Q₈	C₂³	1	6	yes	complemented
229	D₄×Q₈	C₂³	1	1	yes	characteristic, complemented
230	#548	—	2	2	no	—
231	#548	—	2	1	no	—
232	#548	—	2	2	no	—
233	#548	—	2	3	no	—
234	#548	—	2	1	no	—
235	#548	C₂³	1	12	yes	complemented
236	#547	—	2	6	no	—
237	#547	—	2	6	no	—
238	#547	—	2	6	no	—
239	#547	C₂³	1	3	yes	—
240	#547	C₂³	1	6	yes	—
241	#547	C₂³	1	3	yes	—
242	#547	C₂³	1	6	yes	—
243	#547	C₂³	1	3	yes	complemented
244	#547	C₂³	1	6	yes	complemented
245	#547	C₂³	1	6	yes	complemented
246	#547	C₂³	1	6	yes	complemented
247	#547	C₂³	1	3	yes	complemented
248	#546	—	2	6	no	—
249	#546	—	2	3	no	—
250	#546	—	2	6	no	—
251	#546	—	2	6	no	—
252	#546	—	2	3	no	—
253	#546	—	2	3	no	—
254	#546	—	2	6	no	—
255	#546	—	2	12	no	—
256	#546	—	2	6	no	—
257	#546	—	2	6	no	—
258	#546	—	2	6	no	—
259	#546	—	2	12	no	—
260	#546	C₂³	1	6	yes	complemented
261	D₄²	—	2	6	no	—
262	D₄²	—	2	6	no	—
263	D₄²	—	2	12	no	—
264	D₄²	—	2	6	no	—
265	D₄²	—	2	6	no	—
266	D₄²	—	2	6	no	—
267	D₄²	—	2	3	no	—
268	D₄²	—	2	6	no	—
269	D₄²	—	2	6	no	—
270	D₄²	—	2	3	no	—
271	D₄²	C₂³	1	3	yes	—
272	D₄²	C₂³	1	6	yes	—
273	D₄²	C₂³	1	3	yes	—
274	D₄²	C₂³	1	6	yes	—
275	D₄²	C₂³	1	6	yes	—
276	D₄²	C₂³	1	12	yes	—
277	D₄²	C₂³	1	6	yes	—
278	D₄²	C₂³	1	6	yes	—
279	D₄²	C₂³	1	6	yes	—
280	D₄²	C₂³	1	3	yes	complemented
281	#544	—	2	3	no	—
282	#542	—	2	6	no	—
283	#542	—	2	6	no	—
284	#540	—	2	6	no	—
285	#539	—	2	12	no	—
286	#538	—	2	6	no	—
287	#537	—	2	3	no	—
288	#537	—	2	3	no	—
289	#537	—	2	6	no	—
290	#535	—	2	3	no	—
291	#535	—	2	3	no	—
292	#535	—	2	3	no	—
293	#535	—	2	6	no	—
294	#535	—	2	6	no	—
295	#534	—	2	6	no	—
296	#534	—	2	12	no	—
297	#533	C₂³	1	3	yes	complemented
298	#533	C₂³	1	6	yes	complemented
299	#532	—	2	6	no	—
300	#532	C₂³	1	3	yes	—
301	#532	C₂³	1	3	yes	—
302	#532	C₂³	1	6	yes	—
303	#532	C₂³	1	6	yes	—
304	#532	C₂³	1	6	yes	complemented
305	#532	C₂³	1	3	yes	complemented
306	C₂×C₄⋊Q₈	C₂³	1	3	yes	complemented
307	C₂×#127	C₂³	1	3	yes	—
308	C₂×#127	C₂³	1	6	yes	—
309	#529	—	2	6	no	—
310	#529	—	2	6	no	—
311	#529	C₂³	1	6	yes	complemented
312	#525	—	2	3	no	—
313	#525	—	2	12	no	—
314	#525	—	2	3	no	—
315	#525	—	2	3	no	—
316	#525	—	2	6	no	—
317	#525	—	2	6	no	—
318	#525	—	2	3	no	—
319	#525	C₂³	1	12	yes	complemented
320	C₂×#123	—	2	6	no	—
321	C₂×C₂²⋊Q₈	C₂³	1	6	yes	complemented
322	C₂×#121	—	2	3	no	—
323	C₂×#121	—	2	3	no	—
324	C₂×#121	—	2	6	no	—
325	C₂×#121	C₂³	1	12	yes	—
326	C₂×#121	C₂³	1	6	yes	—
327	C₂×#120	—	2	6	no	—
328	C₂×#120	—	2	12	no	—
329	#520	—	2	1	no	—
330	#520	—	2	2	no	—
331	#520	—	2	6	no	—
332	#520	—	2	3	no	—
333	#520	—	2	3	no	—
334	#520	D₄	1	1	yes	characteristic
335	#520	D₄	1	3	yes	—
336	#520	D₄	1	2	yes	—
337	#518	D₄	1	3	yes	—
338	#518	D₄	1	6	yes	—
339	C₄×#41	C₂³	1	1	yes	characteristic
340	C₄×#41	C₂³	1	3	yes	—
341	C₄×#41	C₂³	1	2	yes	—
342	C₄×#41	C₂³	1	6	yes	complemented
343	C₂×C₄×Q₈	—	2	2	no	—
344	C₂×C₄×D₄	—	2	6	no	—
345	C₂×C₄×D₄	C₂³	1	3	yes	—
346	C₂×C₄×D₄	C₂³	1	6	yes	—
347	C₂×C₄×D₄	C₂³	1	3	yes	—
348	C₂×C₄×D₄	C₂³	1	6	yes	—
349	C₂×C₄×D₄	C₂³	1	3	yes	complemented
350	C₂×#117	—	2	3	no	—
351	C₂²×C₄⋊C₄	—	2	3	no	—
352	#501	C₂³	1	2	yes	complemented
353	#500	C₂³	1	3	yes	complemented
354	#498	C₂³	1	1	yes	characteristic, complemented
355	#496	C₂³	1	6	yes	complemented
356	#496	C₂³	1	12	yes	complemented
357	#493	C₂³	1	3	yes	complemented
358	#493	C₂³	1	6	yes	complemented
359	#492	C₂³	1	6	yes	complemented
360	#492	C₂³	1	6	yes	complemented
361	#492	C₂³	1	6	yes	complemented
362	#492	C₂³	1	3	yes	complemented
363	#492	C₂³	1	6	yes	complemented
364	#490	C₂³	1	6	yes	complemented
365	#489	C₂³	1	6	yes	complemented
366	#487	C₂³	1	3	yes	complemented
367	#487	C₂³	1	6	yes	complemented
368	#486	C₂³	1	3	yes	complemented
369	#486	C₂³	1	3	yes	complemented
370	#486	C₂³	1	6	yes	complemented
371	#486	C₂³	1	3	yes	complemented
372	#484	C₂³	1	6	yes	complemented
373	#484	C₂³	1	12	yes	complemented
374	#483	C₂³	1	6	yes	complemented
375	#482	C₂³	1	6	yes	complemented
376	#482	C₂³	1	12	yes	complemented
377	#482	C₂³	1	6	yes	complemented
378	#481	C₂³	1	6	yes	complemented
379	#480	C₂³	1	6	yes	complemented
380	#480	C₂³	1	6	yes	complemented
381	#480	C₂³	1	6	yes	complemented
382	#478	C₂³	1	2	yes	—
383	#478	C₂³	1	6	yes	complemented
384	#477	C₂³	1	6	yes	complemented
385	#476	C₂³	1	1	yes	characteristic
386	#476	C₂³	1	3	yes	complemented
387	#476	C₂³	1	2	yes	complemented
388	#475	C₂³	1	6	yes	complemented
389	#474	C₂³	1	3	yes	—
390	#474	C₂³	1	1	yes	characteristic, complemented
391	#474	C₂³	1	3	yes	complemented
392	#474	C₂³	1	3	yes	complemented
393	#474	C₂³	1	3	yes	complemented
394	#474	C₂³	1	3	yes	complemented
395	#474	C₂³	1	6	yes	complemented
396	#469	C₂³	1	12	yes	complemented
397	#469	C₂³	1	6	yes	complemented
398	#469	C₂³	1	6	yes	complemented
399	#468	C₂³	1	6	yes	complemented
400	#468	C₂³	1	12	yes	complemented
401	#468	C₂³	1	12	yes	complemented
402	#468	C₂³	1	12	yes	complemented
403	#468	C₂³	1	6	yes	complemented
404	#468	C₂³	1	12	yes	complemented
405	#468	C₂³	1	12	yes	complemented
406	#466	C₂³	1	6	yes	complemented
407	#466	C₂³	1	6	yes	complemented
408	#466	C₂³	1	12	yes	complemented
409	#465	C₂³	1	6	yes	complemented
410	#465	C₂³	1	6	yes	complemented
411	#465	C₂³	1	12	yes	complemented
412	#463	C₂³	1	6	yes	—
413	#463	C₂³	1	6	yes	complemented
414	#463	C₂³	1	12	yes	complemented
415	#461	C₂³	1	3	yes	—
416	#461	C₂³	1	6	yes	—
417	#461	C₂³	1	3	yes	complemented
418	#461	C₂³	1	6	yes	complemented
419	#461	C₂³	1	6	yes	complemented
420	#461	C₂³	1	6	yes	complemented
421	#461	C₂³	1	6	yes	complemented
422	#460	C₂³	1	6	yes	complemented
423	#460	C₂³	1	6	yes	complemented
424	#460	C₂³	1	6	yes	complemented
425	#460	C₂³	1	6	yes	complemented
426	#460	C₂³	1	12	yes	complemented
427	#459	C₂³	1	3	yes	—
428	#459	C₂³	1	6	yes	complemented
429	#459	C₂³	1	3	yes	complemented
430	#459	C₂³	1	3	yes	complemented
431	#459	C₂³	1	3	yes	complemented
432	#459	C₂³	1	3	yes	complemented
433	#459	C₂³	1	3	yes	complemented
434	#459	C₂³	1	6	yes	complemented
435	#459	C₂³	1	6	yes	complemented
436	#459	C₂³	1	6	yes	complemented
437	#459	C₂³	1	6	yes	complemented
438	#450	C₂³	1	6	yes	—
439	#450	C₂³	1	6	yes	—
440	#450	C₂³	1	12	yes	—
441	#450	C₂³	1	12	yes	complemented
442	#450	C₂³	1	12	yes	complemented
443	#450	C₂³	1	12	yes	complemented
444	#450	C₂³	1	12	yes	complemented
445	#449	C₂³	1	6	yes	complemented
446	#449	C₂³	1	12	yes	complemented
447	#449	C₂³	1	12	yes	complemented
448	#449	C₂³	1	12	yes	complemented
449	#449	C₂³	1	12	yes	complemented
450	#449	C₂³	1	6	yes	complemented
451	#449	C₂³	1	12	yes	complemented
452	#448	C₂³	1	12	yes	complemented
453	#448	C₂³	1	12	yes	complemented
454	#447	C₂³	1	6	yes	—
455	#447	C₂³	1	6	yes	—
456	#447	C₂³	1	6	yes	complemented
457	#447	C₂³	1	6	yes	complemented
458	#447	C₂³	1	12	yes	complemented
459	#447	C₂³	1	12	yes	complemented
460	#446	C₂³	1	3	yes	complemented
461	#446	C₂³	1	1	yes	characteristic, complemented
462	C₈×Q₈	C₂³	1	1	yes	characteristic, complemented
463	C₈×Q₈	C₂³	1	2	yes	complemented
464	C₈×Q₈	C₂³	1	1	yes	characteristic, complemented
465	#442	C₂³	1	2	yes	—
466	#442	C₂³	1	6	yes	complemented
467	#440	C₂³	1	6	yes	—
468	#440	C₂³	1	6	yes	complemented
469	#440	C₂³	1	12	yes	complemented
470	C₄×SD₁₆	C₂³	1	6	yes	—
471	C₄×SD₁₆	C₂³	1	6	yes	complemented
472	C₄×SD₁₆	C₂³	1	6	yes	complemented
473	C₄×SD₁₆	C₂³	1	6	yes	complemented
474	C₄×D₈	C₂³	1	3	yes	—
475	C₄×D₈	C₂³	1	3	yes	—
476	C₄×D₈	C₂³	1	3	yes	—
477	C₄×D₈	C₂³	1	1	yes	characteristic
478	C₄×D₈	C₂³	1	3	yes	complemented
479	C₄×D₈	C₂³	1	6	yes	complemented
480	C₄×D₈	C₂³	1	6	yes	complemented
481	C₄×D₈	C₂³	1	6	yes	complemented
482	C₄×D₈	C₂³	1	3	yes	complemented
483	C₄×D₈	C₂³	1	3	yes	complemented
484	C₄×D₈	C₂³	1	3	yes	complemented
485	#436	C₂³	1	6	yes	complemented
486	#436	C₂³	1	6	yes	complemented
487	#436	C₂³	1	3	yes	complemented
488	#436	C₂³	1	6	yes	complemented
489	#436	C₂³	1	6	yes	complemented
490	#436	C₂³	1	6	yes	complemented
491	#436	C₂³	1	3	yes	complemented
492	#435	C₂³	1	6	yes	complemented
493	#435	C₂³	1	12	yes	complemented
494	#435	C₂³	1	6	yes	complemented
495	C₈×D₄	C₂³	1	3	yes	complemented
496	C₈×D₄	C₂³	1	6	yes	complemented
497	C₈×D₄	C₂³	1	3	yes	complemented
498	#432	C₂³	1	6	yes	complemented
499	#431	C₂³	1	3	yes	complemented
500	#431	C₂³	1	3	yes	complemented
501	#431	C₂³	1	6	yes	complemented
502	#428	C₂³	1	6	yes	complemented
503	C₂×#107	C₂³	1	3	yes	complemented
504	#423	C₂³	1	6	yes	complemented
505	C₂×C₄⋊C₈	C₂³	1	3	yes	complemented
506	#418	C₂³	1	6	yes	—
507	#418	C₂³	1	12	yes	complemented
508	#417	C₂³	1	6	yes	complemented
509	#417	C₂³	1	12	yes	complemented
510	C₂×#103	C₂³	1	6	yes	complemented
511	C₂×#102	C₂³	1	3	yes	—
512	C₂×#102	C₂³	1	3	yes	complemented
513	C₂×#102	C₂³	1	6	yes	complemented
514	#407	C₂³	1	12	yes	complemented
515	C₂×C₂²⋊C₈	C₂³	1	6	yes	complemented
516	C₄×M₁₆	C₂³	1	6	yes	complemented
517	C₂×C₄×C₈	C₂³	1	3	yes	complemented
518	C₂⁵	—	2	6	no	—
519	H(5,𝔽₂)	—	2	8	no	—
520	H(5,𝔽₂)	—	4	48	no	—
521	H(5,𝔽₂)	—	4	24	no	—
522	H(5,𝔽₂)	—	4	16	no	—
523	H(5,𝔽₂)	—	4	24	no	—
524	H(5,𝔽₂)	—	4	8	no	—
525	C₂×#41	—	2	1	no	—
526	C₂×#41	—	2	3	no	—
527	C₂×#41	—	2	1	no	—
528	C₂×#41	—	2	2	no	—
529	C₂×#41	—	2	3	no	—
530	C₂×#41	—	2	6	no	—
531	C₂×#41	—	2	3	no	—
532	C₂×#41	—	2	6	no	—
533	C₂×#41	—	2	3	no	—
534	C₂×#41	—	2	3	no	—
535	C₂×#41	—	2	6	no	—
536	C₂×#41	—	2	6	no	—
537	C₂×#41	—	2	3	no	—
538	C₂×#41	—	2	3	no	—
539	C₂×#41	—	2	12	no	—
540	C₂×#41	—	4	16	no	—
541	C₂×#41	—	4	24	no	—
542	C₂×#41	—	4	8	no	—
543	C₂×#41	—	4	8	no	—
544	C₂×#41	—	4	12	no	—
545	C₂×#41	—	8	6	no	—
546	C₂×#41	C₂×D₄	1	3	yes	—
547	C₂×#41	C₂×D₄	1	2	yes	—
548	C₂×#41	C₂×D₄	1	1	yes	characteristic
549	C₂×#41	C₂⁴	1	6	yes	—
550	C₂×#41	C₂⁴	1	12	yes	—
551	C₂²×Q₈	—	2	1	no	—
552	C₂²×Q₈	—	2	1	no	—
553	C₂²×Q₈	—	2	1	no	—
554	C₂²×Q₈	C₂⁴	1	6	yes	—
555	C₂²×D₄	—	2	12	no	—
556	C₂²×D₄	—	2	6	no	—
557	C₂²×D₄	—	2	6	no	—
558	C₂²×D₄	—	2	3	no	—
559	C₂²×D₄	—	2	6	no	—
560	C₂²×D₄	—	2	3	no	—
561	C₂²×D₄	—	2	6	no	—
562	C₂²×D₄	—	2	3	no	—
563	C₂²×D₄	—	2	12	no	—
564	C₂²×D₄	—	2	6	no	—
565	C₂²×D₄	—	2	6	no	—
566	C₂²×D₄	—	2	6	no	—
567	C₂²×D₄	—	2	6	no	—
568	C₂²×D₄	—	2	6	no	—
569	C₂²×D₄	—	2	3	no	—
570	C₂²×D₄	—	2	6	no	—
571	C₂²×D₄	—	2	12	no	—
572	C₂²×D₄	—	2	3	no	—
573	C₂²×D₄	—	2	6	no	—
574	C₂²×D₄	—	4	12	no	—
575	C₂²×D₄	—	4	48	no	—
576	C₂²×D₄	—	4	24	no	—
577	C₂²×D₄	—	8	6	no	—
578	C₂²×D₄	C₂×D₄	1	3	yes	—
579	C₂²×D₄	C₂×D₄	1	6	yes	—
580	C₂²×D₄	C₂⁴	1	3	yes	—
581	C₂²×D₄	C₂⁴	1	6	yes	—
582	C₂²×D₄	C₂⁴	1	3	yes	—
583	C₂²×D₄	C₂⁴	1	6	yes	—
584	C₂²×D₄	C₂⁴	1	12	yes	—
585	C₂³×C₄	—	2	3	no	—
586	C₂³×C₄	—	2	6	no	—
587	C₂³×C₄	—	2	3	no	—
588	C₂³×C₄	—	2	6	no	—
589	C₂³×C₄	C₂⁴	1	6	yes	—
590	AGL(1,ℤ/8)	—	2	24	no	—
591	AGL(1,ℤ/8)	—	4	24	no	—
592	AGL(1,ℤ/8)	—	4	24	no	—
593	AGL(1,ℤ/8)	—	4	24	no	—
594	AGL(1,ℤ/8)	—	8	12	no	—
595	C₂×SD₁₆	—	4	12	no	—
596	C₂×SD₁₆	—	4	12	no	—
597	C₂×SD₁₆	—	8	6	no	—
598	C₂×SD₁₆	C₂⁴	1	6	yes	—
599	C₂×SD₁₆	C₂⁴	1	6	yes	—
600	C₂×SD₁₆	C₂⁴	1	12	yes	—
601	C₂×SD₁₆	C₂⁴	1	6	yes	—
602	C₂×SD₁₆	C₂⁴	1	12	yes	—
603	C₂×SD₁₆	C₂⁴	1	12	yes	—
604	C₂×SD₁₆	C₂⁴	1	6	yes	—
605	C₂×D₈	—	2	12	no	—
606	C₂×D₈	—	4	12	no	—
607	C₂×D₈	C₂⁴	1	3	yes	—
608	C₂×D₈	C₂⁴	1	3	yes	—
609	C₂×D₈	C₂⁴	1	3	yes	—
610	C₂×D₈	C₂⁴	1	6	yes	—
611	C₂×D₈	C₂⁴	1	12	yes	—
612	C₂×D₈	C₂⁴	1	6	yes	—
613	C₂×D₈	C₂⁴	1	6	yes	—
614	C₂×D₈	C₂⁴	1	1	yes	characteristic
615	C₂×M₁₆	—	4	12	no	—
616	C₂×M₁₆	C₂⁴	1	6	yes	—
617	C₂×M₁₆	C₂⁴	1	12	yes	—
618	C₂×M₁₆	C₂⁴	1	6	yes	—
619	C₂²×C₈	C₂⁴	1	3	yes	—
620	C₂²×C₈	C₂⁴	1	6	yes	—
621	C₂²×C₈	C₂⁴	1	3	yes	—
622	C₄⋊Q₈	—	2	6	no	—
623	C₄⋊Q₈	—	2	3	no	—
624	C₄⋊Q₈	—	2	3	no	—
625	C₄⋊Q₈	C₂⁴	1	3	yes	—
626	C₄⋊Q₈	C₂⁴	1	6	yes	—
627	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
628	C₄⋊Q₈	C₂⁴	1	3	yes	—
629	C₄⋊Q₈	C₂⁴	1	2	yes	—
630	C₄⋊Q₈	C₂⁴	1	3	yes	—
631	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
632	#127	—	2	6	no	—
633	#127	—	2	6	no	—
634	#127	—	2	6	no	—
635	#127	—	2	3	no	—
636	#127	—	2	3	no	—
637	#127	C₂⁴	1	3	yes	—
638	#127	C₂⁴	1	6	yes	—
639	#127	C₂⁴	1	3	yes	—
640	#127	C₂⁴	1	6	yes	—
641	#127	C₂⁴	1	3	yes	—
642	#126	—	2	6	no	—
643	#126	—	2	12	no	—
644	#126	—	2	6	no	—
645	#126	—	2	6	no	—
646	#125	—	2	6	no	—
647	#125	—	2	6	no	—
648	#125	—	2	6	no	—
649	#125	—	2	3	no	—
650	#125	C₂⁴	1	2	yes	—
651	#124	—	2	6	no	—
652	#124	—	2	6	no	—
653	#124	—	2	12	no	—
654	#124	—	2	6	no	—
655	#124	—	2	6	no	—
656	#124	—	2	3	no	—
657	#124	—	2	3	no	—
658	#124	—	2	3	no	—
659	#124	C₂⁴	1	6	yes	—
660	#123	—	2	6	no	—
661	#123	—	2	12	no	—
662	#123	—	2	6	no	—
663	#123	—	2	6	no	—
664	#123	—	2	6	no	—
665	#123	—	2	12	no	—
666	#123	—	2	12	no	—
667	#123	—	2	12	no	—
668	#123	—	2	6	no	—
669	#123	—	2	6	no	—
670	#123	—	2	12	no	—
671	#123	—	2	6	no	—
672	#123	—	2	6	no	—
673	#123	—	2	6	no	—
674	C₂²⋊Q₈	—	2	1	no	—
675	C₂²⋊Q₈	—	2	3	no	—
676	C₂²⋊Q₈	—	2	12	no	—
677	C₂²⋊Q₈	—	2	6	no	—
678	C₂²⋊Q₈	—	2	3	no	—
679	C₂²⋊Q₈	—	2	1	no	—
680	C₂²⋊Q₈	—	2	3	no	—
681	C₂²⋊Q₈	—	2	2	no	—
682	C₂²⋊Q₈	—	2	3	no	—
683	C₂²⋊Q₈	—	2	3	no	—
684	C₂²⋊Q₈	—	2	6	no	—
685	C₂²⋊Q₈	—	2	3	no	—
686	C₂²⋊Q₈	—	2	6	no	—
687	C₂²⋊Q₈	—	2	12	no	—
688	C₂²⋊Q₈	—	2	3	no	—
689	C₂²⋊Q₈	—	2	2	no	—
690	C₂²⋊Q₈	—	2	12	no	—
691	C₂²⋊Q₈	C₂⁴	1	6	yes	—
692	C₂²⋊Q₈	C₂⁴	1	12	yes	—
693	C₂²⋊Q₈	C₂⁴	1	6	yes	—
694	#121	—	2	3	no	—
695	#121	—	2	6	no	—
696	#121	—	2	6	no	—
697	#121	—	2	6	no	—
698	#121	—	2	3	no	—
699	#121	—	2	12	no	—
700	#121	—	2	12	no	—
701	#121	—	2	12	no	—
702	#121	—	2	12	no	—
703	#121	—	2	3	no	—
704	#121	—	2	3	no	—
705	#121	—	2	6	no	—
706	#121	—	2	6	no	—
707	#121	—	2	6	no	—
708	#121	—	2	3	no	—
709	#121	—	2	6	no	—
710	#121	—	2	3	no	—
711	#121	—	2	6	no	—
712	#121	—	2	3	no	—
713	#121	—	2	6	no	—
714	#121	—	2	6	no	—
715	#121	—	2	6	no	—
716	#121	—	2	6	no	—
717	#121	—	2	6	no	—
718	#121	—	2	12	no	—
719	#121	—	2	3	no	—
720	#121	—	2	3	no	—
721	#121	—	2	3	no	—
722	#121	—	2	6	no	—
723	#121	—	2	6	no	—
724	#121	—	2	3	no	—
725	#121	—	2	12	no	—
726	#121	—	2	6	no	—
727	#121	C₂⁴	1	6	yes	—
728	#121	C₂⁴	1	6	yes	—
729	#121	C₂⁴	1	6	yes	—
730	#121	C₂⁴	1	12	yes	—
731	#121	C₂⁴	1	6	yes	—
732	#121	C₂⁴	1	6	yes	—
733	#121	C₂⁴	1	6	yes	—
734	#120	—	2	12	no	—
735	#120	—	2	6	no	—
736	#120	—	2	6	no	—
737	#120	—	2	6	no	—
738	#120	—	2	12	no	—
739	#120	—	2	6	no	—
740	#120	—	2	6	no	—
741	#120	—	2	12	no	—
742	#120	—	2	12	no	—
743	#120	—	2	12	no	—
744	#120	—	2	12	no	—
745	#120	—	2	12	no	—
746	#120	—	2	12	no	—
747	#120	—	2	6	no	—
748	C₄×Q₈	—	2	2	no	—
749	C₄×Q₈	—	2	6	no	—
750	C₄×Q₈	—	2	6	no	—
751	C₄×Q₈	—	2	3	no	—
752	C₄×Q₈	C₂×D₄	1	2	yes	—
753	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
754	C₄×Q₈	C₂×D₄	1	3	yes	—
755	C₄×Q₈	C₂⁴	1	6	yes	—
756	C₄×Q₈	C₂⁴	1	6	yes	—
757	C₄×Q₈	C₂⁴	1	1	yes	characteristic
758	C₄×Q₈	C₂⁴	1	1	yes	characteristic
759	C₄×D₄	—	2	6	no	—
760	C₄×D₄	—	2	12	no	—
761	C₄×D₄	—	2	6	no	—
762	C₄×D₄	—	2	6	no	—
763	C₄×D₄	—	2	12	no	—
764	C₄×D₄	—	2	6	no	—
765	C₄×D₄	—	2	6	no	—
766	C₄×D₄	—	2	12	no	—
767	C₄×D₄	—	2	6	no	—
768	C₄×D₄	—	2	6	no	—
769	C₄×D₄	—	2	6	no	—
770	C₄×D₄	—	2	3	no	—
771	C₄×D₄	—	2	3	no	—
772	C₄×D₄	—	2	3	no	—
773	C₄×D₄	—	2	3	no	—
774	C₄×D₄	—	2	6	no	—
775	C₄×D₄	—	2	6	no	—
776	C₄×D₄	—	2	3	no	—
777	C₄×D₄	—	2	3	no	—
778	C₄×D₄	—	2	6	no	—
779	C₄×D₄	—	2	3	no	—
780	C₄×D₄	C₂×D₄	1	6	yes	—
781	C₄×D₄	C₂×D₄	1	12	yes	—
782	C₄×D₄	C₂×D₄	1	6	yes	—
783	C₄×D₄	C₂×D₄	1	6	yes	—
784	C₄×D₄	C₂×D₄	1	6	yes	—
785	C₄×D₄	C₂×D₄	1	6	yes	—
786	C₄×D₄	C₂×D₄	1	3	yes	—
787	C₄×D₄	C₂×D₄	1	6	yes	—
788	C₄×D₄	C₂×D₄	1	3	yes	—
789	C₄×D₄	C₂⁴	1	1	yes	characteristic
790	C₄×D₄	C₂⁴	1	3	yes	—
791	C₄×D₄	C₂⁴	1	2	yes	—
792	C₄×D₄	C₂⁴	1	3	yes	—
793	C₄×D₄	C₂⁴	1	3	yes	—
794	C₄×D₄	C₂⁴	1	6	yes	—
795	C₄×D₄	C₂⁴	1	6	yes	—
796	C₄×D₄	C₂⁴	1	1	yes	characteristic
797	C₄×D₄	C₂⁴	1	3	yes	—
798	C₄×D₄	C₂⁴	1	3	yes	—
799	C₄×D₄	C₂⁴	1	3	yes	—
800	C₄×D₄	C₂⁴	1	2	yes	—
801	C₄×D₄	C₂⁴	1	3	yes	—
802	C₄×D₄	C₂⁴	1	6	yes	—
803	C₄×D₄	C₂⁴	1	3	yes	—
804	C₄×D₄	C₂⁴	1	6	yes	—
805	#117	—	2	3	no	—
806	#117	—	2	6	no	—
807	#117	—	2	3	no	—
808	#117	—	2	3	no	—
809	#117	—	2	6	no	—
810	#117	—	2	6	no	—
811	#117	—	2	6	no	—
812	#117	C₂×D₄	1	3	yes	—
813	#117	C₂×D₄	1	3	yes	—
814	#117	C₂×D₄	1	6	yes	—
815	#117	C₂×D₄	1	6	yes	—
816	#117	C₂⁴	1	6	yes	—
817	C₂×C₄⋊C₄	—	2	3	no	—
818	C₂×C₄⋊C₄	—	2	6	no	—
819	C₂×C₄⋊C₄	—	2	3	no	—
820	C₂×C₄⋊C₄	—	2	3	no	—
821	C₂×C₄⋊C₄	—	2	6	no	—
822	C₂×C₄⋊C₄	—	2	6	no	—
823	C₂×C₄⋊C₄	—	2	6	no	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	C₂×D₄	1	3	yes	—
826	C₂×C₄⋊C₄	C₂×D₄	1	6	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
830	C₂×C₂²⋊C₄	—	2	6	no	—
831	C₂×C₂²⋊C₄	—	2	3	no	—
832	C₂×C₂²⋊C₄	—	2	6	no	—
833	C₂×C₂²⋊C₄	—	2	3	no	—
834	C₂×C₂²⋊C₄	—	2	6	no	—
835	C₂×C₂²⋊C₄	—	2	12	no	—
836	C₂×C₂²⋊C₄	—	2	6	no	—
837	C₂×C₂²⋊C₄	C₂×D₄	1	6	yes	—
838	C₂×C₂²⋊C₄	C₂×D₄	1	12	yes	—
839	C₂×C₄²	—	2	6	no	—
840	C₂×C₄²	C₂⁴	1	3	yes	—
841	C₂×C₄²	C₂⁴	1	6	yes	—
842	#107	C₂⁴	1	1	yes	characteristic
843	#107	C₂⁴	1	3	yes	—
844	#107	C₂⁴	1	3	yes	—
845	#107	C₂⁴	1	3	yes	—
846	#107	C₂⁴	1	6	yes	—
847	#107	C₂⁴	1	2	yes	—
848	#107	C₂⁴	1	6	yes	—
849	#106	C₂⁴	1	2	yes	—
850	#106	C₂⁴	1	6	yes	—
851	#106	C₂⁴	1	2	yes	—
852	#106	C₂⁴	1	2	yes	—
853	C₄⋊C₈	C₂⁴	1	3	yes	—
854	C₄⋊C₈	C₂⁴	1	6	yes	—
855	C₄⋊C₈	C₂⁴	1	3	yes	—
856	C₄⋊C₈	C₂⁴	1	6	yes	—
857	C₄⋊C₈	C₂⁴	1	2	yes	—
858	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
859	C₄⋊C₈	C₂⁴	1	3	yes	—
860	#103	C₂⁴	1	6	yes	—
861	#103	C₂⁴	1	12	yes	—
862	#103	C₂⁴	1	6	yes	—
863	#103	C₂⁴	1	6	yes	—
864	#103	C₂⁴	1	6	yes	—
865	#102	C₂⁴	1	1	yes	characteristic
866	#102	C₂⁴	1	3	yes	—
867	#102	C₂⁴	1	3	yes	—
868	#102	C₂⁴	1	3	yes	—
869	#102	C₂⁴	1	1	yes	characteristic
870	#102	C₂⁴	1	6	yes	—
871	#102	C₂⁴	1	3	yes	—
872	#102	C₂⁴	1	12	yes	—
873	#102	C₂⁴	1	3	yes	—
874	#102	C₂⁴	1	3	yes	—
875	#102	C₂⁴	1	2	yes	—
876	#102	C₂⁴	1	6	yes	—
877	#102	C₂⁴	1	6	yes	—
878	#102	C₂⁴	1	2	yes	—
879	#102	C₂⁴	1	6	yes	—
880	#102	C₂⁴	1	6	yes	—
881	#102	C₂⁴	1	6	yes	—
882	#102	C₂⁴	1	6	yes	—
883	#102	C₂⁴	1	6	yes	—
884	C₂²⋊C₈	C₂⁴	1	6	yes	—
885	C₂²⋊C₈	C₂⁴	1	12	yes	—
886	C₂²⋊C₈	C₂⁴	1	6	yes	—
887	C₂²⋊C₈	C₂⁴	1	6	yes	—
888	C₂²⋊C₈	C₂⁴	1	6	yes	—
889	#97	C₂⁴	1	2	yes	—
890	#97	C₂⁴	1	6	yes	—
891	C₄×C₈	C₂⁴	1	1	yes	characteristic
892	C₄×C₈	C₂⁴	1	3	yes	—
893	C₄×C₈	C₂⁴	1	3	yes	—
894	C₄×C₈	C₂⁴	1	3	yes	—
895	C₄×C₈	C₂⁴	1	6	yes	—
896	C₂⁴	—	2	3	no	—
897	C₂⁴	—	2	6	no	—
898	C₂⁴	—	2	3	no	—
899	C₂⁴	—	2	12	no	—
900	C₂⁴	—	2	6	no	—
901	C₂⁴	—	4	24	no	—
902	C₂⁴	—	8	12	no	—
903	C₂⁴	—	16	6	no	—
904	C₂⁴	C₂²×D₄	1	6	yes	—
905	#41	—	2	8	no	—
906	#41	—	2	12	no	—
907	#41	—	2	12	no	—
908	#41	—	4	6	no	—
909	#41	—	4	24	no	—
910	#41	—	4	24	no	—
911	#41	—	4	12	no	—
912	#41	—	4	12	no	—
913	#41	—	4	24	no	—
914	#41	—	4	24	no	—
915	#41	—	4	12	no	—
916	#41	—	4	12	no	—
917	#41	—	4	4	no	—
918	#41	—	4	8	no	—
919	#41	—	4	4	no	—
920	#41	—	4	12	no	—
921	#41	—	4	12	no	—
922	#41	—	4	12	no	—
923	#41	—	4	12	no	—
924	#41	—	4	12	no	—
925	#41	—	8	24	no	—
926	#41	AGL(1,ℤ/8)	1	8	yes	complemented
927	C₂×Q₈	—	2	3	no	—
928	C₂×Q₈	—	2	2	no	—
929	C₂×Q₈	—	2	3	no	—
930	C₂×Q₈	—	2	1	no	—
931	C₂×Q₈	—	2	1	no	—
932	C₂×Q₈	—	2	6	no	—
933	C₂×Q₈	—	4	6	no	—
934	C₂×Q₈	—	4	6	no	—
935	C₂×Q₈	—	4	4	no	—
936	C₂×Q₈	—	4	4	no	—
937	C₂×Q₈	—	4	4	no	—
938	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
939	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
940	C₂×Q₈	C₂⁵	1	6	yes	—
941	C₂×D₄	—	2	24	no	—
942	C₂×D₄	—	2	6	no	—
943	C₂×D₄	—	2	12	no	—
944	C₂×D₄	—	2	6	no	—
945	C₂×D₄	—	2	6	no	—
946	C₂×D₄	—	2	6	no	—
947	C₂×D₄	—	2	12	no	—
948	C₂×D₄	—	2	6	no	—
949	C₂×D₄	—	2	6	no	—
950	C₂×D₄	—	2	6	no	—
951	C₂×D₄	—	2	6	no	—
952	C₂×D₄	—	2	6	no	—
953	C₂×D₄	—	2	12	no	—
954	C₂×D₄	—	2	12	no	—
955	C₂×D₄	—	2	3	no	—
956	C₂×D₄	—	2	6	no	—
957	C₂×D₄	—	2	3	no	—
958	C₂×D₄	—	2	3	no	—
959	C₂×D₄	—	2	6	no	—
960	C₂×D₄	—	2	3	no	—
961	C₂×D₄	—	2	6	no	—
962	C₂×D₄	—	2	3	no	—
963	C₂×D₄	—	2	3	no	—
964	C₂×D₄	—	2	6	no	—
965	C₂×D₄	—	2	3	no	—
966	C₂×D₄	—	2	6	no	—
967	C₂×D₄	—	2	3	no	—
968	C₂×D₄	—	2	12	no	—
969	C₂×D₄	—	2	6	no	—
970	C₂×D₄	—	4	3	no	—
971	C₂×D₄	—	4	6	no	—
972	C₂×D₄	—	4	3	no	—
973	C₂×D₄	—	4	6	no	—
974	C₂×D₄	—	4	6	no	—
975	C₂×D₄	—	4	12	no	—
976	C₂×D₄	—	4	12	no	—
977	C₂×D₄	—	4	24	no	—
978	C₂×D₄	—	4	24	no	—
979	C₂×D₄	—	4	24	no	—
980	C₂×D₄	—	4	12	no	—
981	C₂×D₄	—	4	48	no	—
982	C₂×D₄	—	4	24	no	—
983	C₂×D₄	—	4	24	no	—
984	C₂×D₄	—	4	24	no	—
985	C₂×D₄	—	4	48	no	—
986	C₂×D₄	—	4	24	no	—
987	C₂×D₄	—	4	12	no	—
988	C₂×D₄	—	4	24	no	—
989	C₂×D₄	—	4	12	no	—
990	C₂×D₄	—	4	12	no	—
991	C₂×D₄	—	8	12	no	—
992	C₂×D₄	—	8	24	no	—
993	C₂×D₄	—	8	12	no	—
994	C₂×D₄	—	16	6	no	—
995	C₂×D₄	—	16	3	no	—
996	C₂×D₄	C₂²×D₄	1	6	yes	—
997	C₂×D₄	C₂²×D₄	1	3	yes	—
998	C₂×D₄	C₂²×D₄	1	6	yes	—
999	C₂×D₄	C₂²×D₄	1	3	yes	—
1000	C₂×D₄	C₂⁵	1	3	yes	—
1001	C₂×D₄	C₂⁵	1	3	yes	—
1002	C₂×D₄	C₂⁵	1	6	yes	—
1003	C₂×D₄	C₂⁵	1	1	yes	characteristic
1004	C₂×D₄	C₂⁵	1	1	yes	characteristic
1005	C₂²×C₄	—	2	3	no	—
1006	C₂²×C₄	—	2	6	no	—
1007	C₂²×C₄	—	2	3	no	—
1008	C₂²×C₄	—	2	6	no	—
1009	C₂²×C₄	—	2	3	no	—
1010	C₂²×C₄	—	2	6	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	3	no	—
1013	C₂²×C₄	—	2	3	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	3	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	6	no	—
1018	C₂²×C₄	—	2	6	no	—
1019	C₂²×C₄	—	2	3	no	—
1020	C₂²×C₄	—	2	3	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	12	no	—
1023	C₂²×C₄	—	4	6	no	—
1024	C₂²×C₄	—	4	6	no	—
1025	C₂²×C₄	—	4	24	no	—
1026	C₂²×C₄	—	4	12	no	—
1027	C₂²×C₄	—	4	12	no	—
1028	C₂²×C₄	—	8	12	no	—
1029	C₂²×C₄	C₂²×D₄	1	6	yes	—
1030	C₂²×C₄	C₂²×D₄	1	3	yes	—
1031	C₂²×C₄	C₂²×D₄	1	6	yes	—
1032	C₂²×C₄	C₂²×D₄	1	6	yes	—
1033	C₂²×C₄	C₂²×D₄	1	12	yes	—
1034	C₂²×C₄	C₂²×D₄	1	3	yes	—
1035	C₂²×C₄	C₂⁵	1	3	yes	—
1036	C₂²×C₄	C₂⁵	1	6	yes	—
1037	SD₁₆	—	2	12	no	—
1038	SD₁₆	—	2	12	no	—
1039	SD₁₆	—	4	12	no	—
1040	SD₁₆	—	4	12	no	—
1041	SD₁₆	—	4	6	no	—
1042	SD₁₆	—	4	12	no	—
1043	SD₁₆	—	4	6	no	—
1044	D₈	—	2	6	no	—
1045	D₈	—	2	6	no	—
1046	D₈	—	2	12	no	—
1047	D₈	—	2	6	no	—
1048	D₈	—	4	12	no	—
1049	D₈	—	4	6	no	—
1050	D₈	—	4	6	no	—
1051	D₈	H(5,𝔽₂)	1	4	yes	complemented
1052	M₁₆	—	2	12	no	—
1053	M₁₆	—	4	12	no	—
1054	M₁₆	—	4	6	no	—
1055	C₂×C₈	—	2	6	no	—
1056	C₂×C₈	—	4	6	no	—
1057	C₂×C₈	—	4	3	no	—
1058	C₂×C₈	C₂⁵	1	1	yes	characteristic
1059	C₂×C₈	C₂⁵	1	2	yes	—
1060	C₂×C₈	C₂⁵	1	3	yes	—
1061	C₂×C₈	C₂⁵	1	3	yes	—
1062	C₂×C₈	C₂⁵	1	6	yes	—
1063	C₂×C₈	C₂⁵	1	1	yes	characteristic
1064	C₄⋊C₄	—	2	3	no	—
1065	C₄⋊C₄	—	2	6	no	—
1066	C₄⋊C₄	—	2	6	no	—
1067	C₄⋊C₄	—	2	12	no	—
1068	C₄⋊C₄	—	2	3	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	6	no	—
1072	C₄⋊C₄	—	2	6	no	—
1073	C₄⋊C₄	—	2	3	no	—
1074	C₄⋊C₄	—	2	3	no	—
1075	C₄⋊C₄	—	2	3	no	—
1076	C₄⋊C₄	—	2	6	no	—
1077	C₄⋊C₄	—	2	6	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	3	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	6	no	—
1083	C₄⋊C₄	C₂²×D₄	1	3	yes	—
1084	C₄⋊C₄	C₂²×D₄	1	6	yes	—
1085	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1086	C₄⋊C₄	C₂²×D₄	1	3	yes	—
1087	C₄⋊C₄	C₂²×D₄	1	6	yes	—
1088	C₄⋊C₄	C₂²×D₄	1	3	yes	—
1089	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1090	C₄⋊C₄	C₂⁵	1	2	yes	—
1091	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1092	C₄⋊C₄	C₂⁵	1	3	yes	—
1093	C₄⋊C₄	C₂⁵	1	1	yes	characteristic
1094	C₄⋊C₄	C₂⁵	1	3	yes	—
1095	C₄⋊C₄	C₂⁵	1	2	yes	—
1096	C₂²⋊C₄	—	2	6	no	—
1097	C₂²⋊C₄	—	2	6	no	—
1098	C₂²⋊C₄	—	2	12	no	—
1099	C₂²⋊C₄	—	2	6	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	3	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	6	no	—
1105	C₂²⋊C₄	—	2	12	no	—
1106	C₂²⋊C₄	—	2	6	no	—
1107	C₂²⋊C₄	—	2	6	no	—
1108	C₂²⋊C₄	—	2	6	no	—
1109	C₂²⋊C₄	—	2	6	no	—
1110	C₂²⋊C₄	—	2	6	no	—
1111	C₂²⋊C₄	—	2	3	no	—
1112	C₂²⋊C₄	—	2	6	no	—
1113	C₂²⋊C₄	—	2	3	no	—
1114	C₂²⋊C₄	—	2	3	no	—
1115	C₂²⋊C₄	—	2	6	no	—
1116	C₂²⋊C₄	—	2	3	no	—
1117	C₂²⋊C₄	—	2	3	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	6	no	—
1120	C₂²⋊C₄	—	2	6	no	—
1121	C₂²⋊C₄	C₂²×D₄	1	6	yes	—
1122	C₂²⋊C₄	C₂²×D₄	1	6	yes	—
1123	C₂²⋊C₄	C₂²×D₄	1	12	yes	—
1124	C₂²⋊C₄	C₂²×D₄	1	6	yes	—
1125	C₂²⋊C₄	C₂²×D₄	1	6	yes	—
1126	C₄²	—	2	6	no	—
1127	C₄²	—	2	6	no	—
1128	C₄²	—	2	6	no	—
1129	C₄²	C₂²×D₄	1	6	yes	—
1130	C₄²	C₂²×D₄	1	6	yes	—
1131	C₄²	C₂²×D₄	1	3	yes	—
1132	C₄²	C₂²×D₄	1	3	yes	—
1133	C₄²	C₂⁵	1	1	yes	characteristic
1134	C₄²	C₂⁵	1	3	yes	—
1135	C₄²	C₂⁵	1	2	yes	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	12	no	—
1139	C₂³	—	2	3	no	—
1140	C₂³	—	2	3	no	—
1141	C₂³	—	2	6	no	—
1142	C₂³	—	4	6	no	—
1143	C₂³	—	4	6	no	—
1144	C₂³	—	4	6	no	—
1145	C₂³	—	4	6	no	—
1146	C₂³	—	4	12	no	—
1147	C₂³	—	4	12	no	—
1148	C₂³	—	4	24	no	—
1149	C₂³	—	4	6	no	—
1150	C₂³	—	4	6	no	—
1151	C₂³	—	4	12	no	—
1152	C₂³	—	8	3	no	—
1153	C₂³	—	8	3	no	—
1154	C₂³	—	8	6	no	—
1155	C₂³	—	8	6	no	—
1156	C₂³	—	8	12	no	—
1157	C₂³	—	8	6	no	—
1158	C₂³	—	8	12	no	—
1159	C₂³	—	16	48	no	—
1160	C₂³	C₂³×D₄	1	6	yes	—
1161	C₂³	C₂³×D₄	1	3	yes	—
1162	Q₈	—	2	2	no	—
1163	Q₈	—	2	6	no	—
1164	Q₈	—	2	6	no	—
1165	Q₈	—	4	4	no	—
1166	Q₈	—	4	6	no	—
1167	Q₈	—	4	6	no	—
1168	Q₈	—	4	2	no	—
1169	Q₈	—	8	1	no	—
1170	Q₈	—	8	6	no	—
1171	Q₈	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
1172	D₄	—	2	12	no	—
1173	D₄	—	2	3	no	—
1174	D₄	—	2	3	no	—
1175	D₄	—	2	6	no	—
1176	D₄	—	2	1	no	—
1177	D₄	—	2	1	no	—
1178	D₄	—	2	3	no	—
1179	D₄	—	2	3	no	—
1180	D₄	—	2	6	no	—
1181	D₄	—	2	12	no	—
1182	D₄	—	2	6	no	—
1183	D₄	—	4	12	no	—
1184	D₄	—	4	6	no	—
1185	D₄	—	4	6	no	—
1186	D₄	—	4	12	no	—
1187	D₄	—	4	12	no	—
1188	D₄	—	4	12	no	—
1189	D₄	—	4	24	no	—
1190	D₄	—	4	12	no	—
1191	D₄	—	4	12	no	—
1192	D₄	—	4	12	no	—
1193	D₄	—	4	12	no	—
1194	D₄	—	4	6	no	—
1195	D₄	—	4	12	no	—
1196	D₄	—	4	6	no	—
1197	D₄	—	4	6	no	—
1198	D₄	—	8	3	no	—
1199	D₄	—	8	12	no	—
1200	D₄	—	8	6	no	—
1201	D₄	—	8	6	no	—
1202	D₄	—	8	3	no	—
1203	D₄	—	8	6	no	—
1204	D₄	—	8	3	no	—
1205	D₄	—	8	6	no	—
1206	D₄	—	8	12	no	—
1207	D₄	C₂×AGL(1,ℤ/8)	1	12	yes	complemented
1208	D₄	C₂×H(5,𝔽₂)	1	2	yes	—
1209	D₄	C₂×H(5,𝔽₂)	1	2	yes	complemented
1210	C₂×C₄	—	2	3	no	—
1211	C₂×C₄	—	2	6	no	—
1212	C₂×C₄	—	2	3	no	—
1213	C₂×C₄	—	2	6	no	—
1214	C₂×C₄	—	2	12	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	3	no	—
1217	C₂×C₄	—	2	6	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	3	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	4	6	no	—
1223	C₂×C₄	—	4	12	no	—
1224	C₂×C₄	—	4	6	no	—
1225	C₂×C₄	—	4	3	no	—
1226	C₂×C₄	—	4	12	no	—
1227	C₂×C₄	—	4	4	no	—
1228	C₂×C₄	—	4	12	no	—
1229	C₂×C₄	—	4	12	no	—
1230	C₂×C₄	—	4	6	no	—
1231	C₂×C₄	—	4	6	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	4	6	no	—
1234	C₂×C₄	—	4	2	no	—
1235	C₂×C₄	—	4	12	no	—
1236	C₂×C₄	—	4	6	no	—
1237	C₂×C₄	—	4	6	no	—
1238	C₂×C₄	—	4	6	no	—
1239	C₂×C₄	—	4	6	no	—
1240	C₂×C₄	—	4	6	no	—
1241	C₂×C₄	—	8	2	no	—
1242	C₂×C₄	—	8	12	no	—
1243	C₂×C₄	—	8	6	no	—
1244	C₂×C₄	C₂×AGL(1,ℤ/8)	1	12	yes	complemented
1245	C₂×C₄	C₂³×D₄	1	2	yes	—
1246	C₂×C₄	C₂³×D₄	1	6	yes	—
1247	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1248	C₂×C₄	C₂³×D₄	1	3	yes	—
1249	C₂×C₄	C₂³×D₄	1	2	yes	—
1250	C₂×C₄	C₂³×D₄	1	3	yes	—
1251	C₂×C₄	C₂³×D₄	1	3	yes	—
1252	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1253	C₂×C₄	C₂⁶	1	1	yes	characteristic
1254	C₈	—	2	3	no	—
1255	C₈	—	2	6	no	—
1256	C₈	—	2	1	no	—
1257	C₈	—	2	3	no	—
1258	C₈	—	2	2	no	—
1259	C₈	C₂×H(5,𝔽₂)	1	2	yes	complemented
1260	C₂²	—	2	3	no	—
1261	C₂²	—	2	3	no	—
1262	C₂²	—	2	6	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	6	no	—
1266	C₂²	—	2	6	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	3	no	—
1272	C₂²	—	4	3	no	—
1273	C₂²	—	4	6	no	—
1274	C₂²	—	4	6	no	—
1275	C₂²	—	4	3	no	—
1276	C₂²	—	4	3	no	—
1277	C₂²	—	4	3	no	—
1278	C₂²	—	4	3	no	—
1279	C₂²	—	4	6	no	—
1280	C₂²	—	8	12	no	—
1281	C₂²	—	8	12	no	—
1282	C₂²	—	8	12	no	—
1283	C₂²	—	8	24	no	—
1284	C₂²	—	16	12	no	—
1285	C₂²	—	16	24	no	—
1286	C₂²	C₂²×AGL(1,ℤ/8)	1	6	yes	—
1287	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1288	C₄	—	2	6	no	—
1289	C₄	—	2	3	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	3	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	4	6	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	2	no	—
1297	C₄	—	4	3	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	3	no	—
1300	C₄	—	4	2	no	—
1301	C₄	C₂²×AGL(1,ℤ/8)	1	6	yes	—
1302	C₄	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1303	C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1304	C₄	H(7,𝔽₂)	1	1	yes	characteristic
1305	C₂	—	2	6	no	—
1306	C₂	—	4	6	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	4	2	no	—
1309	C₂	—	8	3	no	—
1310	C₂	—	8	3	no	—
1311	C₂	—	8	6	no	—
1312	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1313	C₂	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1314	C₂	#63092	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. #62985	C₂	semidirect
2. D₄×H(5,𝔽₂)	C₂	semidirect
3. #62453	C₂	semidirect
4. #62421	C₂	semidirect
5. #62413	C₂	semidirect
6. #62295	C₂	semidirect
7. #62259	C₂	semidirect
8. #62003	C₂	semidirect
9. #61999	C₂	semidirect
10. #61962	C₂	semidirect
11. #61959	C₂	semidirect
12. #61948	C₂	semidirect
13. #61947	C₂	semidirect
14. #61600	C₂	semidirect
15. #61598	C₂	semidirect
16. #61585	C₂	semidirect
17. #61582	C₂	semidirect
18. #61466	C₂	semidirect
19. #61437	C₂	semidirect
20. D₈×#41	C₂	semidirect
21. D₄×AGL(1,ℤ/8)	C₂	semidirect
22. C₂×#3272	C₂	semidirect
23. #60325	C₂	semidirect
25. C₂²×AGL(1,ℤ/8)	C₂²	semidirect
27. #3520	C₂²	semidirect
28. #3517	C₂²	semidirect
30. #3511	C₂²	semidirect
31. #3506	C₂²	semidirect
32. #3503	C₂²	semidirect
34. #3498	C₂²	semidirect
35. #3498	C₂²	semidirect
36. #3496	C₂²	semidirect
37. #3496	C₂²	semidirect
46. #3482	C₂²	semidirect
47. #3475	C₂²	semidirect
49. D₄×#41	C₂²	semidirect
50. D₄×#41	C₂²	semidirect
51. D₄×#41	C₂²	semidirect
52. D₄×#41	C₂²	semidirect
53. C₂×#547	C₂²	semidirect
54. C₂×D₄²	C₂²	semidirect
55. C₂×D₄²	C₂²	semidirect
58. #3397	C₂²	semidirect
59. #3397	C₂²	semidirect
60. #3392	C₂²	semidirect
61. #3392	C₂²	semidirect
62. #3392	C₂²	semidirect
63. #3391	C₂²	semidirect
64. #3391	C₂²	semidirect
65. #3384	C₂²	semidirect
66. Q₈×D₈	C₂²	semidirect
67. #3367	C₂²	semidirect
68. #3366	C₂²	semidirect
69. #3359	C₂²	semidirect
70. #3358	C₂²	semidirect
71. #3358	C₂²	semidirect
72. #3358	C₂²	semidirect
73. #3354	C₂²	semidirect
74. #3353	C₂²	semidirect
75. #3343	C₂²	semidirect
76. #3334	C₂²	semidirect
77. #3332	C₂²	semidirect
78. #3330	C₂²	semidirect
79. #3330	C₂²	semidirect
80. #3330	C₂²	semidirect
81. #3330	C₂²	semidirect
82. #3325	C₂²	semidirect
83. #3325	C₂²	semidirect
84. #3324	C₂²	semidirect
85. #3324	C₂²	semidirect
86. #3324	C₂²	semidirect
87. #3310	C₂²	semidirect
88. #3310	C₂²	semidirect
89. #3308	C₂²	semidirect
90. #3306	C₂²	semidirect
91. #3298	C₂²	semidirect
92. #3294	C₂²	semidirect
93. #3294	C₂²	semidirect
94. #3294	C₂²	semidirect
95. D₄×SD₁₆	C₂²	semidirect
96. D₄×SD₁₆	C₂²	semidirect
97. D₄×SD₁₆	C₂²	semidirect
98. D₄×D₈	C₂²	semidirect
99. D₄×D₈	C₂²	semidirect
100. #3274	C₂²	semidirect
101. #3274	C₂²	semidirect
102. #3274	C₂²	semidirect
103. #3272	C₂²	semidirect
104. #3272	C₂²	semidirect
105. #3272	C₂²	semidirect
106. #3272	C₂²	semidirect
107. #3272	C₂²	semidirect
108. #3272	C₂²	semidirect
109. #3272	C₂²	semidirect
110. #3272	C₂²	semidirect
111. #3272	C₂²	semidirect
112. #3272	C₂²	semidirect
113. #3272	C₂²	semidirect
114. #3265	C₂²	semidirect
115. #3265	C₂²	semidirect
116. #3265	C₂²	semidirect
117. #3264	C₂²	semidirect
118. #3264	C₂²	semidirect
119. #3254	C₂²	semidirect
120. #3251	C₂²	semidirect
121. #3246	C₂²	semidirect
122. #3245	C₂²	semidirect
123. #3217	C₂²	semidirect
124. #3214	C₂²	semidirect
125. #3208	C₂²	semidirect
126. #3208	C₂²	semidirect
127. #3207	C₂²	semidirect
128. #3206	C₂²	semidirect
129. #3206	C₂²	semidirect
130. #3205	C₂²	semidirect
131. #3194	C₂²	semidirect
132. #3193	C₂²	semidirect
133. #3188	C₂²	semidirect
134. #3182	C₂²	semidirect
135. #3171	C₂²	semidirect
136. #3169	C₂²	semidirect
137. #3167	C₂²	semidirect
138. #3151	C₂²	semidirect
139. C₂×#492	C₂²	semidirect
140. #3115	C₂²	semidirect
141. #3110	C₂²	semidirect
142. #3106	C₂²	semidirect
143. #3105	C₂²	semidirect
144. #3101	C₂²	semidirect
145. #3100	C₂²	semidirect
146. #3100	C₂²	semidirect
147. #3100	C₂²	semidirect
148. #3055	C₂²	semidirect
149. C₂×#468	C₂²	semidirect
150. #3038	C₂²	semidirect
151. #3036	C₂²	semidirect
152. C₂×#461	C₂²	semidirect
153. C₂×#459	C₂²	semidirect
154. #3006	C₂²	semidirect
155. #3003	C₂²	semidirect
156. C₂×#449	C₂²	semidirect
157. C₂×#450	C₂²	semidirect
158. #2991	C₂²	semidirect
159. #2989	C₂²	semidirect
160. #2988	C₂²	semidirect
161. #2975	C₂²	semidirect
162. #2974	C₂²	semidirect
163. #2971	C₂²	semidirect
164. #2965	C₂²	semidirect
165. C₈×#41	C₂²	semidirect
166. C₄×AGL(1,ℤ/8)	C₂²	semidirect
167. C₂×C₄×D₈	C₂²	semidirect
168. D₄×M₁₆	C₂²	semidirect
169. C₂×#436	C₂²	semidirect
181. C₂²×#41	C₂³	semidirect
188. C₂×AGL(1,ℤ/8)	C₂³	semidirect
189. C₂×AGL(1,ℤ/8)	C₂³	semidirect
190. C₂×AGL(1,ℤ/8)	C₂³	semidirect
192. C₂²×SD₁₆	C₂³	semidirect
193. C₂²×SD₁₆	C₂³	semidirect
195. C₂²×D₈	C₂³	semidirect
196. C₂²×M₁₆	C₂³	semidirect
199. #557	C₂³	semidirect
200. #556	C₂³	semidirect
201. #556	C₂³	semidirect
203. #555	C₂³	semidirect
207. #554	C₂³	semidirect
214. #552	C₂³	semidirect
224. #550	C₂³	semidirect
225. #550	C₂³	semidirect
228. D₄×Q₈	C₂³	semidirect
229. D₄×Q₈	C₂³	semidirect
235. #548	C₂³	semidirect
243. #547	C₂³	semidirect
244. #547	C₂³	semidirect
245. #547	C₂³	semidirect
246. #547	C₂³	semidirect
247. #547	C₂³	semidirect
260. #546	C₂³	semidirect
280. D₄²	C₂³	semidirect
297. #533	C₂³	semidirect
298. #533	C₂³	semidirect
304. #532	C₂³	semidirect
305. #532	C₂³	semidirect
306. C₂×C₄⋊Q₈	C₂³	semidirect
311. #529	C₂³	semidirect
319. #525	C₂³	semidirect
321. C₂×C₂²⋊Q₈	C₂³	semidirect
342. C₄×#41	C₂³	semidirect
349. C₂×C₄×D₄	C₂³	semidirect
352. #501	C₂³	semidirect
353. #500	C₂³	semidirect
354. #498	C₂³	semidirect
355. #496	C₂³	semidirect
356. #496	C₂³	semidirect
357. #493	C₂³	semidirect
358. #493	C₂³	semidirect
359. #492	C₂³	semidirect
360. #492	C₂³	semidirect
361. #492	C₂³	semidirect
362. #492	C₂³	semidirect
363. #492	C₂³	semidirect
364. #490	C₂³	semidirect
365. #489	C₂³	semidirect
366. #487	C₂³	semidirect
367. #487	C₂³	semidirect
368. #486	C₂³	semidirect
369. #486	C₂³	semidirect
370. #486	C₂³	semidirect
371. #486	C₂³	semidirect
372. #484	C₂³	semidirect
373. #484	C₂³	semidirect
374. #483	C₂³	semidirect
375. #482	C₂³	semidirect
376. #482	C₂³	semidirect
377. #482	C₂³	semidirect
378. #481	C₂³	semidirect
379. #480	C₂³	semidirect
380. #480	C₂³	semidirect
381. #480	C₂³	semidirect
383. #478	C₂³	semidirect
384. #477	C₂³	semidirect
386. #476	C₂³	semidirect
387. #476	C₂³	semidirect
388. #475	C₂³	semidirect
390. #474	C₂³	semidirect
391. #474	C₂³	semidirect
392. #474	C₂³	semidirect
393. #474	C₂³	semidirect
394. #474	C₂³	semidirect
395. #474	C₂³	semidirect
396. #469	C₂³	semidirect
397. #469	C₂³	semidirect
398. #469	C₂³	semidirect
399. #468	C₂³	semidirect
400. #468	C₂³	semidirect
401. #468	C₂³	semidirect
402. #468	C₂³	semidirect
403. #468	C₂³	semidirect
404. #468	C₂³	semidirect
405. #468	C₂³	semidirect
406. #466	C₂³	semidirect
407. #466	C₂³	semidirect
408. #466	C₂³	semidirect
409. #465	C₂³	semidirect
410. #465	C₂³	semidirect
411. #465	C₂³	semidirect
413. #463	C₂³	semidirect
414. #463	C₂³	semidirect
417. #461	C₂³	semidirect
418. #461	C₂³	semidirect
419. #461	C₂³	semidirect
420. #461	C₂³	semidirect
421. #461	C₂³	semidirect
422. #460	C₂³	semidirect
423. #460	C₂³	semidirect
424. #460	C₂³	semidirect
425. #460	C₂³	semidirect
426. #460	C₂³	semidirect
428. #459	C₂³	semidirect
429. #459	C₂³	semidirect
430. #459	C₂³	semidirect
431. #459	C₂³	semidirect
432. #459	C₂³	semidirect
433. #459	C₂³	semidirect
434. #459	C₂³	semidirect
435. #459	C₂³	semidirect
436. #459	C₂³	semidirect
437. #459	C₂³	semidirect
441. #450	C₂³	semidirect
442. #450	C₂³	semidirect
443. #450	C₂³	semidirect
444. #450	C₂³	semidirect
445. #449	C₂³	semidirect
446. #449	C₂³	semidirect
447. #449	C₂³	semidirect
448. #449	C₂³	semidirect
449. #449	C₂³	semidirect
450. #449	C₂³	semidirect
451. #449	C₂³	semidirect
452. #448	C₂³	semidirect
453. #448	C₂³	semidirect
456. #447	C₂³	semidirect
457. #447	C₂³	semidirect
458. #447	C₂³	semidirect
459. #447	C₂³	semidirect
460. #446	C₂³	semidirect
461. #446	C₂³	semidirect
462. C₈×Q₈	C₂³	semidirect
463. C₈×Q₈	C₂³	semidirect
464. C₈×Q₈	C₂³	semidirect
466. #442	C₂³	semidirect
468. #440	C₂³	semidirect
469. #440	C₂³	semidirect
471. C₄×SD₁₆	C₂³	semidirect
472. C₄×SD₁₆	C₂³	semidirect
473. C₄×SD₁₆	C₂³	semidirect
478. C₄×D₈	C₂³	semidirect
479. C₄×D₈	C₂³	semidirect
480. C₄×D₈	C₂³	semidirect
481. C₄×D₈	C₂³	semidirect
482. C₄×D₈	C₂³	semidirect
483. C₄×D₈	C₂³	semidirect
484. C₄×D₈	C₂³	semidirect
485. #436	C₂³	semidirect
486. #436	C₂³	semidirect
487. #436	C₂³	semidirect
488. #436	C₂³	semidirect
489. #436	C₂³	semidirect
490. #436	C₂³	semidirect
491. #436	C₂³	semidirect
492. #435	C₂³	semidirect
493. #435	C₂³	semidirect
494. #435	C₂³	semidirect
495. C₈×D₄	C₂³	semidirect
496. C₈×D₄	C₂³	semidirect
497. C₈×D₄	C₂³	semidirect
498. #432	C₂³	semidirect
499. #431	C₂³	semidirect
500. #431	C₂³	semidirect
501. #431	C₂³	semidirect
502. #428	C₂³	semidirect
503. C₂×#107	C₂³	semidirect
504. #423	C₂³	semidirect
505. C₂×C₄⋊C₈	C₂³	semidirect
507. #418	C₂³	semidirect
508. #417	C₂³	semidirect
509. #417	C₂³	semidirect
510. C₂×#103	C₂³	semidirect
512. C₂×#102	C₂³	semidirect
513. C₂×#102	C₂³	semidirect
514. #407	C₂³	semidirect
515. C₂×C₂²⋊C₈	C₂³	semidirect
516. C₄×M₁₆	C₂³	semidirect
517. C₂×C₄×C₈	C₂³	semidirect
926. #41	AGL(1,ℤ/8)	semidirect
1051. D₈	H(5,𝔽₂)	semidirect
1171. Q₈	C₂×AGL(1,ℤ/8)	semidirect
1207. D₄	C₂×AGL(1,ℤ/8)	semidirect
1209. D₄	C₂×H(5,𝔽₂)	semidirect
1244. C₂×C₄	C₂×AGL(1,ℤ/8)	semidirect
1259. C₈	C₂×H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#62985	2
D₄×H(5,𝔽₂)	2
#62453	2
#62421	2
#62413	2
#62295	2
#62259	2
#62003	2
#61999	2
#61962	2
#61959	2
#61948	2
#61947	2
#61600	2
#61598	2
#61585	2
#61582	2
#61466	2
#61437	2
D₈×#41	2
D₄×AGL(1,ℤ/8)	2
C₂×#3272	2
#60325	2