Subgroups — #10583141

Order 512.

6966 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62912	C₂	1	2	yes	maximal, complemented
2	#62463	C₂	1	4	yes	maximal, complemented
3	#62423	C₂	1	2	yes	maximal, complemented
4	#62349	C₂	1	4	yes	maximal, complemented
5	#62278	C₂	1	4	yes	maximal, complemented
6	#62248	C₂	1	1	yes	maximal, characteristic, complemented
7	#62067	C₂	1	4	yes	maximal, complemented
8	#62051	C₂	1	4	yes	maximal, complemented
9	#61949	C₂	1	2	yes	maximal, complemented
10	#61947	C₂	1	2	yes	maximal, complemented
11	#61661	C₂	1	4	yes	maximal, complemented
12	#61657	C₂	1	4	yes	maximal, complemented
13	#61609	C₂	1	8	yes	maximal, complemented
14	#61582	C₂	1	2	yes	maximal, complemented
15	#61539	C₂	1	4	yes	maximal, complemented
16	#61437	C₂	1	2	yes	maximal, complemented
17	#61093	C₂	1	4	yes	maximal, complemented
18	#61049	C₂	1	4	yes	maximal, complemented
19	C₂×D₄×D₈	C₂	1	1	yes	maximal, characteristic, complemented
20	#60312	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#576	C₂²	1	4	yes	complemented
22	C₂³×D₈	C₂²	1	2	yes	complemented
23	#3558	—	2	4	no	—
24	#3549	C₂²	1	4	yes	complemented
25	#3546	C₂²	1	4	yes	complemented
26	#3546	C₂²	1	4	yes	complemented
27	#3543	—	2	4	no	—
28	#3543	C₂²	1	4	yes	complemented
29	#3542	—	2	4	no	—
30	#3542	C₂²	1	8	yes	complemented
31	#3537	—	2	4	no	—
32	#3532	—	2	8	no	—
33	#3519	C₂²	1	4	yes	complemented
34	#3514	C₂²	1	4	yes	complemented
35	#3508	C₂²	1	2	yes	complemented
36	#3506	C₂²	1	2	yes	complemented
37	#3498	C₂²	1	2	yes	complemented
38	#3498	C₂²	1	4	yes	complemented
39	#3496	C₂²	1	4	yes	complemented
40	#3494	—	2	2	no	—
41	#3488	—	2	2	no	—
42	#3484	—	2	2	no	—
43	#3484	C₂²	1	8	yes	complemented
44	#3475	C₂²	1	2	yes	complemented
45	D₄×#41	C₂²	1	2	yes	complemented
46	C₂×D₄²	C₂²	1	2	yes	complemented
47	#3460	C₂²	1	1	yes	characteristic
48	C₂×#535	—	2	2	no	—
49	#3399	C₂²	1	4	yes	complemented
50	#3399	C₂²	1	4	yes	complemented
51	#3397	C₂²	1	2	yes	complemented
52	#3394	C₂²	1	4	yes	complemented
53	#3391	C₂²	1	4	yes	complemented
54	#3384	C₂²	1	2	yes	complemented
55	#3367	C₂²	1	2	yes	complemented
56	#3366	C₂²	1	2	yes	complemented
57	#3361	C₂²	1	4	yes	complemented
58	#3358	C₂²	1	4	yes	complemented
59	#3354	C₂²	1	2	yes	complemented
60	#3347	C₂²	1	8	yes	complemented
61	#3343	C₂²	1	4	yes	complemented
62	#3340	C₂²	1	4	yes	complemented
63	#3330	C₂²	1	2	yes	complemented
64	#3325	C₂²	1	4	yes	complemented
65	#3325	C₂²	1	4	yes	complemented
66	#3325	C₂²	1	2	yes	complemented
67	#3325	C₂²	1	8	yes	complemented
68	#3324	C₂²	1	4	yes	complemented
69	#3324	C₂²	1	4	yes	complemented
70	#3322	C₂²	1	8	yes	complemented
71	#3319	C₂²	1	8	yes	complemented
72	#3318	C₂²	1	8	yes	complemented
73	#3310	C₂²	1	4	yes	complemented
74	#3306	C₂²	1	4	yes	complemented
75	#3305	C₂²	1	4	yes	complemented
76	#3305	C₂²	1	4	yes	complemented
77	#3305	C₂²	1	8	yes	complemented
78	#3302	C₂²	1	4	yes	complemented
79	#3297	C₂²	1	8	yes	complemented
80	#3296	C₂²	1	8	yes	complemented
81	#3294	C₂²	1	8	yes	complemented
82	#3294	C₂²	1	4	yes	complemented
83	#3284	C₂²	1	4	yes	complemented
84	#3284	C₂²	1	4	yes	complemented
85	#3280	C₂²	1	8	yes	complemented
86	#3280	C₂²	1	8	yes	complemented
87	D₄×D₈	C₂²	1	4	yes	complemented
88	D₄×D₈	C₂²	1	4	yes	complemented
89	D₄×D₈	C₂²	1	4	yes	complemented
90	D₄×D₈	C₂²	1	4	yes	complemented
91	D₄×D₈	C₂²	1	8	yes	complemented
92	D₄×D₈	C₂²	1	8	yes	complemented
93	D₄×D₈	C₂²	1	4	yes	complemented
94	#3274	C₂²	1	4	yes	complemented
95	#3274	C₂²	1	4	yes	complemented
96	#3274	C₂²	1	8	yes	complemented
97	#3274	C₂²	1	4	yes	complemented
98	#3274	C₂²	1	4	yes	complemented
99	#3273	C₂²	1	8	yes	complemented
100	#3272	C₂²	1	4	yes	complemented
101	#3272	C₂²	1	4	yes	complemented
102	#3272	C₂²	1	2	yes	complemented
103	#3268	C₂²	1	8	yes	complemented
104	#3268	C₂²	1	8	yes	complemented
105	#3264	C₂²	1	4	yes	complemented
106	#3264	C₂²	1	8	yes	complemented
107	#3264	C₂²	1	8	yes	complemented
108	#3264	C₂²	1	8	yes	complemented
109	#3264	C₂²	1	8	yes	complemented
110	#3264	C₂²	1	8	yes	complemented
111	#3262	C₂²	1	4	yes	complemented
112	#3259	C₂²	1	4	yes	complemented
113	#3249	C₂²	1	1	yes	characteristic, complemented
114	#3247	C₂²	1	4	yes	complemented
115	#3245	C₂²	1	1	yes	characteristic, complemented
116	#3245	C₂²	1	4	yes	complemented
117	#3224	C₂²	1	8	yes	complemented
118	#3220	C₂²	1	8	yes	complemented
119	#3212	C₂²	1	4	yes	complemented
120	#3208	C₂²	1	2	yes	complemented
121	#3207	C₂²	1	4	yes	complemented
122	#3205	C₂²	1	2	yes	complemented
123	#3205	C₂²	1	4	yes	complemented
124	#3205	C₂²	1	4	yes	complemented
125	#3203	C₂²	1	4	yes	complemented
126	#3199	C₂²	1	8	yes	complemented
127	#3199	C₂²	1	4	yes	complemented
128	#3198	C₂²	1	8	yes	complemented
129	#3194	C₂²	1	8	yes	complemented
130	#3191	C₂²	1	4	yes	complemented
131	#3184	C₂²	1	4	yes	complemented
132	#3179	C₂²	1	8	yes	complemented
133	#3171	C₂²	1	4	yes	complemented
134	#3167	C₂²	1	2	yes	complemented
135	#3155	C₂²	1	4	yes	complemented
136	#3151	C₂²	1	4	yes	complemented
137	C₂×#493	C₂²	1	1	yes	characteristic, complemented
138	#3122	C₂²	1	8	yes	complemented
139	#3118	C₂²	1	8	yes	complemented
140	#3106	C₂²	1	4	yes	complemented
141	#3106	C₂²	1	4	yes	complemented
142	#3105	C₂²	1	4	yes	complemented
143	#3101	C₂²	1	2	yes	complemented
144	#3100	C₂²	1	2	yes	complemented
145	#3100	C₂²	1	4	yes	complemented
146	#3062	C₂²	1	8	yes	complemented
147	#3058	C₂²	1	4	yes	complemented
148	#3050	C₂²	1	4	yes	complemented
149	C₂×#466	C₂²	1	2	yes	complemented
150	#3041	C₂²	1	8	yes	complemented
151	#3035	C₂²	1	4	yes	complemented
152	C₂×#459	C₂²	1	2	yes	complemented
153	C₂×#459	C₂²	1	4	yes	complemented
154	#3012	C₂²	1	8	yes	complemented
155	#3008	C₂²	1	8	yes	complemented
156	#3008	C₂²	1	8	yes	complemented
157	#3003	C₂²	1	8	yes	complemented
158	C₂×#447	C₂²	1	4	yes	complemented
159	#2994	C₂²	1	4	yes	complemented
160	#2988	C₂²	1	2	yes	complemented
161	#2979	C₂²	1	4	yes	complemented
162	#2976	C₂²	1	4	yes	complemented
163	#2975	C₂²	1	1	yes	characteristic, complemented
164	#2969	C₂²	1	4	yes	complemented
165	#2965	C₂²	1	2	yes	complemented
166	#2948	C₂²	1	4	yes	complemented
167	C₄×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
168	C₂×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
169	#2935	C₂²	1	4	yes	complemented
170	#2929	C₂²	1	4	yes	complemented
171	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
172	C₂×H(5,𝔽₂)	—	2	2	no	—
173	C₂×H(5,𝔽₂)	C₂³	1	8	yes	complemented
174	C₂²×#41	—	2	2	no	—
175	C₂³×D₄	—	2	2	no	—
176	C₂³×D₄	C₂³	1	4	yes	—
177	#576	—	4	16	no	—
178	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	—
179	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
180	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
181	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
182	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
183	C₂×#135	C₂³	1	4	yes	complemented
184	C₂×#135	C₂³	1	8	yes	complemented
185	C₂²×D₈	—	4	8	no	—
186	C₂²×D₈	C₂³	1	1	yes	characteristic
187	C₂²×D₈	C₂³	1	4	yes	—
188	C₂²×D₈	C₂³	1	2	yes	—
189	C₂²×D₈	C₂³	1	4	yes	—
190	C₂²×D₈	C₂³	1	4	yes	—
191	C₂²×D₈	C₂³	1	8	yes	—
192	C₂²×D₈	C₂³	1	2	yes	—
193	C₂²×D₈	C₂³	1	8	yes	complemented
194	C₂×#131	C₂³	1	4	yes	complemented
195	C₂³×C₈	C₂³	1	2	yes	—
196	#562	—	2	8	no	—
197	H(3,𝔽₄)	—	2	8	no	—
198	#560	—	2	8	no	—
199	#560	—	2	8	no	—
200	#560	—	2	8	no	—
201	#560	—	2	8	no	—
202	#559	—	2	2	no	—
203	#559	—	2	4	no	—
204	#559	C₂³	1	4	yes	complemented
205	#556	C₂³	1	4	yes	—
206	#556	C₂³	1	2	yes	complemented
207	#555	—	2	4	no	—
208	#555	C₂³	1	4	yes	—
209	#555	C₂³	1	8	yes	complemented
210	#555	C₂³	1	2	yes	complemented
211	#554	C₂³	1	2	yes	complemented
212	#553	—	2	4	no	—
213	#553	—	2	4	no	—
214	#553	—	2	2	no	—
215	#553	—	2	4	no	—
216	#553	C₂³	1	8	yes	complemented
217	#552	—	2	2	no	—
218	#552	C₂³	1	4	yes	—
219	#551	—	2	8	no	—
220	#551	—	2	8	no	—
221	#551	—	2	4	no	—
222	#550	—	2	4	no	—
223	#550	—	2	2	no	—
224	#550	—	2	2	no	—
225	#550	C₂³	1	4	yes	—
226	#550	C₂³	1	4	yes	complemented
227	#550	C₂³	1	8	yes	complemented
228	#550	C₂³	1	4	yes	complemented
229	#550	C₂³	1	2	yes	complemented
230	D₄×Q₈	C₂³	1	2	yes	complemented
231	#548	—	2	4	no	—
232	#548	—	2	2	no	—
233	#547	—	2	4	no	—
234	#547	C₂³	1	4	yes	—
235	#547	C₂³	1	4	yes	—
236	#547	C₂³	1	2	yes	complemented
237	#547	C₂³	1	2	yes	complemented
238	#546	—	2	4	no	—
239	#546	—	2	4	no	—
240	#546	—	2	8	no	—
241	#546	—	2	8	no	—
242	#546	—	2	8	no	—
243	#546	—	2	8	no	—
244	#546	—	2	4	no	—
245	#546	—	2	4	no	—
246	#546	—	2	4	no	—
247	#546	—	2	8	no	—
248	#546	—	2	4	no	—
249	#546	—	2	2	no	—
250	#546	—	2	4	no	—
251	#546	C₂³	1	4	yes	—
252	#546	C₂³	1	8	yes	—
253	#546	C₂³	1	8	yes	complemented
254	#546	C₂³	1	8	yes	complemented
255	#546	C₂³	1	8	yes	complemented
256	D₄²	—	2	4	no	—
257	D₄²	—	2	4	no	—
258	D₄²	—	2	4	no	—
259	D₄²	—	2	4	no	—
260	D₄²	—	2	8	no	—
261	D₄²	—	2	8	no	—
262	D₄²	—	2	4	no	—
263	D₄²	—	2	8	no	—
264	D₄²	—	2	4	no	—
265	D₄²	—	2	4	no	—
266	D₄²	—	2	4	no	—
267	D₄²	—	2	2	no	—
268	D₄²	C₂³	1	4	yes	—
269	D₄²	C₂³	1	4	yes	—
270	D₄²	C₂³	1	4	yes	—
271	D₄²	C₂³	1	4	yes	—
272	D₄²	C₂³	1	4	yes	—
273	D₄²	C₂³	1	8	yes	—
274	D₄²	C₂³	1	2	yes	complemented
275	D₄²	C₂³	1	8	yes	complemented
276	D₄²	C₂³	1	8	yes	complemented
277	D₄²	C₂³	1	4	yes	complemented
278	#544	D₄	1	1	yes	characteristic
279	#542	—	2	4	no	—
280	#542	D₄	1	4	yes	—
281	#542	C₂³	1	8	yes	complemented
282	#540	—	2	4	no	—
283	#540	—	2	8	no	—
284	#540	—	2	4	no	—
285	#540	D₄	1	4	yes	—
286	#540	C₂³	1	8	yes	complemented
287	#538	—	2	8	no	—
288	#538	—	2	8	no	—
289	#538	—	2	8	no	—
290	#538	—	2	8	no	—
291	#538	—	2	8	no	—
292	#538	—	2	4	no	—
293	#538	D₄	1	4	yes	—
294	#537	—	2	4	no	—
295	#537	D₄	1	1	yes	characteristic
296	#537	C₂³	1	8	yes	complemented
297	#535	—	2	2	no	—
298	#535	—	2	2	no	—
299	#535	—	2	4	no	—
300	#535	—	2	4	no	—
301	#535	—	2	8	no	—
302	#535	—	2	4	no	—
303	#535	—	2	4	no	—
304	#535	—	2	4	no	—
305	#535	—	2	8	no	—
306	#535	—	2	8	no	—
307	#535	—	2	2	no	—
308	#535	—	2	4	no	—
309	#535	D₄	1	2	yes	—
310	#535	C₂³	1	8	yes	complemented
311	#535	C₂³	1	8	yes	complemented
312	#535	C₂³	1	8	yes	complemented
313	#534	—	2	8	no	—
314	#534	—	2	8	no	—
315	#534	—	2	8	no	—
316	#534	—	2	8	no	—
317	#534	—	2	8	no	—
318	#533	C₂³	1	2	yes	—
319	#532	—	2	4	no	—
320	#532	C₂³	1	2	yes	—
321	#532	C₂³	1	4	yes	—
322	#532	C₂³	1	4	yes	complemented
323	#532	C₂³	1	4	yes	complemented
324	#532	C₂³	1	4	yes	complemented
325	#532	C₂³	1	4	yes	complemented
326	C₂×#127	—	2	4	no	—
327	C₂×#127	C₂³	1	2	yes	—
328	C₂×#127	C₂³	1	4	yes	complemented
329	#529	—	2	4	no	—
330	#529	—	2	4	no	—
331	#529	C₂³	1	4	yes	—
332	#529	C₂³	1	4	yes	complemented
333	C₂×#124	—	2	4	no	—
334	#525	—	2	2	no	—
335	#525	—	2	4	no	—
336	#525	—	2	2	no	—
337	#525	—	2	4	no	—
338	#525	C₂³	1	8	yes	—
339	#525	C₂³	1	4	yes	—
340	C₂×#121	—	2	4	no	—
341	C₂×#121	—	2	4	no	—
342	C₂×#121	—	2	4	no	—
343	C₂×#121	—	2	2	no	—
344	C₂×#121	C₂³	1	4	yes	—
345	C₂×#120	—	2	8	no	—
346	C₂×#120	—	2	8	no	—
347	C₂×#120	—	2	4	no	—
348	#520	—	2	2	no	—
349	#518	—	2	2	no	—
350	#518	C₂³	1	8	yes	complemented
351	C₄×#41	C₂³	1	2	yes	—
352	C₄×#41	C₂³	1	4	yes	complemented
353	C₂×C₄×D₄	C₂³	1	2	yes	—
354	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
355	C₂×C₄×D₄	C₂³	1	4	yes	complemented
356	C₂×#117	—	2	2	no	—
357	#501	C₂³	1	4	yes	complemented
358	#498	C₂³	1	2	yes	complemented
359	#496	C₂³	1	4	yes	—
360	#496	C₂³	1	8	yes	complemented
361	#496	C₂³	1	8	yes	complemented
362	#495	C₂³	1	8	yes	complemented
363	#493	C₂³	1	4	yes	—
364	#493	C₂³	1	4	yes	—
365	#493	C₂³	1	4	yes	complemented
366	#493	C₂³	1	8	yes	complemented
367	#492	C₂³	1	4	yes	complemented
368	#492	C₂³	1	2	yes	complemented
369	#490	C₂³	1	4	yes	complemented
370	#489	C₂³	1	4	yes	complemented
371	#488	C₂³	1	8	yes	complemented
372	#487	C₂³	1	2	yes	complemented
373	#486	C₂³	1	8	yes	complemented
374	#486	C₂³	1	4	yes	complemented
375	#486	C₂³	1	4	yes	complemented
376	#486	C₂³	1	2	yes	complemented
377	#485	C₂³	1	8	yes	complemented
378	#484	C₂³	1	4	yes	complemented
379	#483	C₂³	1	4	yes	—
380	#482	C₂³	1	8	yes	complemented
381	#482	C₂³	1	4	yes	complemented
382	#482	C₂³	1	8	yes	complemented
383	#482	C₂³	1	8	yes	complemented
384	#482	C₂³	1	8	yes	complemented
385	#482	C₂³	1	4	yes	complemented
386	#481	C₂³	1	4	yes	complemented
387	#480	C₂³	1	4	yes	—
388	#480	C₂³	1	8	yes	complemented
389	#478	C₂³	1	4	yes	complemented
390	#478	C₂³	1	8	yes	complemented
391	#478	C₂³	1	4	yes	complemented
392	#477	C₂³	1	4	yes	complemented
393	#477	C₂³	1	4	yes	complemented
394	#476	C₂³	1	2	yes	complemented
395	#476	C₂³	1	2	yes	complemented
396	#476	C₂³	1	4	yes	complemented
397	#474	C₂³	1	2	yes	complemented
398	#474	C₂³	1	4	yes	complemented
399	#474	C₂³	1	8	yes	complemented
400	#474	C₂³	1	2	yes	complemented
401	#469	C₂³	1	4	yes	—
402	#469	C₂³	1	8	yes	complemented
403	#469	C₂³	1	4	yes	complemented
404	#469	C₂³	1	8	yes	complemented
405	#469	C₂³	1	8	yes	complemented
406	#469	C₂³	1	8	yes	complemented
407	#468	C₂³	1	4	yes	complemented
408	#468	C₂³	1	4	yes	complemented
409	#468	C₂³	1	8	yes	complemented
410	#468	C₂³	1	8	yes	complemented
411	#467	C₂³	1	4	yes	—
412	#467	C₂³	1	4	yes	complemented
413	#466	C₂³	1	8	yes	—
414	#466	C₂³	1	4	yes	—
415	#466	C₂³	1	4	yes	—
416	#466	C₂³	1	4	yes	—
417	#466	C₂³	1	8	yes	complemented
418	#466	C₂³	1	8	yes	complemented
419	#466	C₂³	1	8	yes	complemented
420	#466	C₂³	1	4	yes	complemented
421	#465	C₂³	1	4	yes	—
422	#465	C₂³	1	4	yes	—
423	#465	C₂³	1	8	yes	complemented
424	#465	C₂³	1	8	yes	complemented
425	#464	C₂³	1	8	yes	complemented
426	#463	C₂³	1	4	yes	—
427	#463	C₂³	1	4	yes	complemented
428	#463	C₂³	1	8	yes	complemented
429	#463	C₂³	1	8	yes	complemented
430	#463	C₂³	1	8	yes	complemented
431	#463	C₂³	1	8	yes	complemented
432	#462	C₂³	1	4	yes	complemented
433	#461	C₂³	1	2	yes	complemented
434	#461	C₂³	1	2	yes	complemented
435	#460	C₂³	1	4	yes	complemented
436	#460	C₂³	1	4	yes	complemented
437	#460	C₂³	1	4	yes	complemented
438	#459	C₂³	1	4	yes	—
439	#459	C₂³	1	4	yes	—
440	#459	C₂³	1	4	yes	—
441	#459	C₂³	1	4	yes	—
442	#459	C₂³	1	4	yes	—
443	#459	C₂³	1	2	yes	complemented
444	#459	C₂³	1	2	yes	complemented
445	#459	C₂³	1	4	yes	complemented
446	#459	C₂³	1	8	yes	complemented
447	#459	C₂³	1	8	yes	complemented
448	#459	C₂³	1	4	yes	complemented
449	#459	C₂³	1	8	yes	complemented
450	#459	C₂³	1	8	yes	complemented
451	#459	C₂³	1	4	yes	complemented
452	#459	C₂³	1	8	yes	complemented
453	#452	C₂³	1	8	yes	complemented
454	#452	C₂³	1	8	yes	complemented
455	#450	C₂³	1	4	yes	—
456	#450	C₂³	1	8	yes	—
457	#450	C₂³	1	4	yes	complemented
458	#450	C₂³	1	8	yes	complemented
459	#450	C₂³	1	8	yes	complemented
460	#449	C₂³	1	4	yes	—
461	#449	C₂³	1	8	yes	complemented
462	#449	C₂³	1	4	yes	complemented
463	#449	C₂³	1	8	yes	complemented
464	#449	C₂³	1	8	yes	complemented
465	#449	C₂³	1	8	yes	complemented
466	#449	C₂³	1	8	yes	complemented
467	#449	C₂³	1	8	yes	complemented
468	#449	C₂³	1	8	yes	complemented
469	#447	C₂³	1	4	yes	—
470	#447	C₂³	1	4	yes	—
471	#447	C₂³	1	8	yes	—
472	#447	C₂³	1	8	yes	—
473	#447	C₂³	1	8	yes	—
474	#447	C₂³	1	8	yes	—
475	#447	C₂³	1	8	yes	—
476	#447	C₂³	1	8	yes	complemented
477	#447	C₂³	1	8	yes	complemented
478	#447	C₂³	1	8	yes	complemented
479	#447	C₂³	1	8	yes	complemented
480	#447	C₂³	1	8	yes	complemented
481	#447	C₂³	1	8	yes	complemented
482	#447	C₂³	1	8	yes	complemented
483	#446	C₂³	1	2	yes	complemented
484	#446	C₂³	1	2	yes	complemented
485	C₈×Q₈	C₂³	1	4	yes	complemented
486	#442	C₂³	1	4	yes	—
487	#442	C₂³	1	8	yes	complemented
488	#442	C₂³	1	4	yes	complemented
489	#442	C₂³	1	8	yes	complemented
490	#440	C₂³	1	4	yes	complemented
491	#440	C₂³	1	4	yes	complemented
492	C₄×SD₁₆	C₂³	1	4	yes	complemented
493	C₄×SD₁₆	C₂³	1	4	yes	complemented
494	C₄×SD₁₆	C₂³	1	4	yes	complemented
495	C₄×SD₁₆	C₂³	1	4	yes	complemented
496	C₄×SD₁₆	C₂³	1	8	yes	complemented
497	C₄×D₈	C₂³	1	2	yes	—
498	C₄×D₈	C₂³	1	2	yes	—
499	C₄×D₈	C₂³	1	2	yes	—
500	C₄×D₈	C₂³	1	2	yes	—
501	C₄×D₈	C₂³	1	4	yes	complemented
502	C₄×D₈	C₂³	1	8	yes	complemented
503	C₄×D₈	C₂³	1	4	yes	complemented
504	C₄×D₈	C₂³	1	8	yes	complemented
505	C₄×D₈	C₂³	1	8	yes	complemented
506	#436	C₂³	1	4	yes	—
507	#436	C₂³	1	4	yes	—
508	#436	C₂³	1	2	yes	complemented
509	#436	C₂³	1	2	yes	complemented
510	#436	C₂³	1	8	yes	complemented
511	#435	C₂³	1	4	yes	—
512	#435	C₂³	1	4	yes	—
513	#435	C₂³	1	8	yes	complemented
514	#435	C₂³	1	8	yes	complemented
515	C₈×D₄	C₂³	1	4	yes	—
516	C₈×D₄	C₂³	1	4	yes	—
517	C₈×D₄	C₂³	1	8	yes	—
518	C₈×D₄	C₂³	1	8	yes	complemented
519	C₈×D₄	C₂³	1	4	yes	complemented
520	#433	C₂³	1	8	yes	complemented
521	#431	C₂³	1	2	yes	—
522	#431	C₂³	1	4	yes	complemented
523	#431	C₂³	1	4	yes	complemented
524	#428	C₂³	1	4	yes	complemented
525	#427	C₂³	1	4	yes	complemented
526	C₂×#107	C₂³	1	1	yes	characteristic
527	#424	C₂³	1	4	yes	complemented
528	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
529	C₂×C₄⋊C₈	C₂³	1	4	yes	complemented
530	#418	C₂³	1	4	yes	complemented
531	#418	C₂³	1	8	yes	complemented
532	#418	C₂³	1	8	yes	complemented
533	#417	C₂³	1	4	yes	complemented
534	#416	C₂³	1	8	yes	complemented
535	#416	C₂³	1	8	yes	complemented
536	C₂×#102	C₂³	1	2	yes	—
537	C₂×#102	C₂³	1	4	yes	—
538	C₂×#102	C₂³	1	8	yes	complemented
539	#408	C₂³	1	4	yes	complemented
540	#408	C₂³	1	8	yes	complemented
541	#407	C₂³	1	4	yes	—
542	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
543	#405	C₂³	1	4	yes	complemented
544	C₄×M₁₆	C₂³	1	4	yes	complemented
545	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
546	C₂⁵	—	2	4	no	—
547	H(5,𝔽₂)	—	4	16	no	—
548	H(5,𝔽₂)	—	8	8	no	—
549	H(5,𝔽₂)	—	8	8	no	—
550	C₂×#41	—	2	4	no	—
551	C₂×#41	—	2	8	no	—
552	C₂×#41	—	2	2	no	—
553	C₂×#41	—	2	4	no	—
554	C₂×#41	—	2	2	no	—
555	C₂×#41	—	2	2	no	—
556	C₂×#41	—	2	4	no	—
557	C₂×#41	—	2	4	no	—
558	C₂×#41	—	2	4	no	—
559	C₂×#41	—	8	8	no	—
560	C₂×#41	C₂×D₄	1	2	yes	—
561	C₂×#41	C₂⁴	1	4	yes	—
562	C₂×#41	C₂⁴	1	8	yes	—
563	C₂×#41	C₂⁴	1	8	yes	—
564	C₂×#41	C₂⁴	1	4	yes	—
565	C₂²×Q₈	—	2	2	no	—
566	C₂²×D₄	—	2	4	no	—
567	C₂²×D₄	—	2	4	no	—
568	C₂²×D₄	—	2	8	no	—
569	C₂²×D₄	—	2	8	no	—
570	C₂²×D₄	—	2	8	no	—
571	C₂²×D₄	—	2	4	no	—
572	C₂²×D₄	—	2	8	no	—
573	C₂²×D₄	—	2	4	no	—
574	C₂²×D₄	—	2	4	no	—
575	C₂²×D₄	—	2	2	no	—
576	C₂²×D₄	—	2	4	no	—
577	C₂²×D₄	—	2	4	no	—
578	C₂²×D₄	—	2	8	no	—
579	C₂²×D₄	—	2	8	no	—
580	C₂²×D₄	—	2	2	no	—
581	C₂²×D₄	—	2	4	no	—
582	C₂²×D₄	—	2	4	no	—
583	C₂²×D₄	—	2	8	no	—
584	C₂²×D₄	—	2	2	no	—
585	C₂²×D₄	—	2	4	no	—
586	C₂²×D₄	—	4	8	no	—
587	C₂²×D₄	—	8	8	no	—
588	C₂²×D₄	—	8	4	no	—
589	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
590	C₂²×D₄	C₂⁴	1	2	yes	—
591	C₂²×D₄	C₂⁴	1	4	yes	—
592	C₂²×D₄	C₂⁴	1	8	yes	—
593	C₂²×D₄	C₂⁴	1	4	yes	—
594	C₂²×D₄	C₂⁴	1	8	yes	—
595	C₂²×D₄	C₂⁴	1	8	yes	—
596	C₂³×C₄	—	2	2	no	—
597	C₂³×C₄	—	2	4	no	—
598	C₂³×C₄	C₂⁴	1	2	yes	—
599	AGL(1,ℤ/8)	—	2	16	no	—
600	AGL(1,ℤ/8)	—	4	16	no	—
601	AGL(1,ℤ/8)	—	4	16	no	—
602	AGL(1,ℤ/8)	—	8	8	no	—
603	AGL(1,ℤ/8)	—	8	8	no	—
604	#135	—	4	8	no	—
605	#135	—	4	16	no	—
606	C₂×Q₁₆	C₂⁴	1	4	yes	—
607	C₂×SD₁₆	C₂⁴	1	4	yes	—
608	C₂×SD₁₆	C₂⁴	1	4	yes	—
609	C₂×SD₁₆	C₂⁴	1	8	yes	—
610	C₂×SD₁₆	C₂⁴	1	4	yes	—
611	C₂×SD₁₆	C₂⁴	1	8	yes	—
612	C₂×SD₁₆	C₂⁴	1	4	yes	—
613	C₂×D₈	—	2	4	no	—
614	C₂×D₈	—	2	16	no	—
615	C₂×D₈	—	4	4	no	—
616	C₂×D₈	—	4	8	no	—
617	C₂×D₈	—	4	16	no	—
618	C₂×D₈	—	4	8	no	—
619	C₂×D₈	—	4	16	no	—
620	C₂×D₈	—	8	2	no	—
621	C₂×D₈	C₂⁴	1	2	yes	—
622	C₂×D₈	C₂⁴	1	1	yes	characteristic
623	C₂×D₈	C₂⁴	1	8	yes	—
624	C₂×D₈	C₂⁴	1	4	yes	—
625	C₂×D₈	C₂⁴	1	4	yes	—
626	C₂×D₈	C₂⁴	1	8	yes	—
627	C₂×D₈	C₂⁴	1	4	yes	—
628	C₂×D₈	C₂⁴	1	8	yes	—
629	C₂×D₈	C₂⁴	1	4	yes	—
630	C₂×D₈	C₂⁴	1	8	yes	—
631	C₂×D₈	C₂⁴	1	4	yes	—
632	C₂×D₈	C₂⁴	1	8	yes	—
633	C₂×D₈	C₂⁴	1	1	yes	characteristic
634	#131	—	4	8	no	—
635	C₂×M₁₆	C₂⁴	1	4	yes	—
636	C₂×M₁₆	C₂⁴	1	4	yes	—
637	C₂×M₁₆	C₂⁴	1	4	yes	—
638	C₂×M₁₆	C₂⁴	1	4	yes	—
639	C₂²×C₈	—	4	4	no	—
640	C₂²×C₈	C₂⁴	1	1	yes	characteristic
641	C₂²×C₈	C₂⁴	1	4	yes	—
642	C₂²×C₈	C₂⁴	1	2	yes	—
643	C₂²×C₈	C₂⁴	1	4	yes	—
644	C₂²×C₈	C₂⁴	1	8	yes	—
645	C₂²×C₈	C₂⁴	1	1	yes	characteristic
646	C₄⋊Q₈	C₂×D₄	1	4	yes	—
647	C₄⋊Q₈	C₂⁴	1	2	yes	—
648	C₄⋊Q₈	C₂⁴	1	2	yes	—
649	C₄⋊Q₈	C₂⁴	1	2	yes	—
650	C₄⋊Q₈	C₂⁴	1	4	yes	—
651	#127	—	2	8	no	—
652	#127	—	2	4	no	—
653	#127	—	2	4	no	—
654	#127	—	2	8	no	—
655	#127	—	2	8	no	—
656	#127	—	2	4	no	—
657	#127	—	2	2	no	—
658	#127	—	2	2	no	—
659	#127	—	2	4	no	—
660	#127	C₂×D₄	1	4	yes	—
661	#127	C₂⁴	1	4	yes	—
662	#127	C₂⁴	1	4	yes	—
663	#127	C₂⁴	1	2	yes	—
664	#127	C₂⁴	1	8	yes	—
665	#127	C₂⁴	1	4	yes	—
666	#126	—	2	4	no	—
667	#126	—	2	8	no	—
668	#126	—	2	8	no	—
669	#126	—	2	4	no	—
670	#126	—	2	8	no	—
671	#126	—	2	4	no	—
672	#126	C₂×D₄	1	8	yes	—
673	#125	—	2	4	no	—
674	#125	—	2	2	no	—
675	#125	C₂×D₄	1	4	yes	—
676	#125	C₂⁴	1	4	yes	—
677	#124	—	2	4	no	—
678	#124	—	2	8	no	—
679	#124	—	2	8	no	—
680	#124	—	2	4	no	—
681	#124	—	2	8	no	—
682	#124	—	2	8	no	—
683	#124	—	2	4	no	—
684	#124	—	2	8	no	—
685	#124	—	2	8	no	—
686	#124	—	2	4	no	—
687	#124	—	2	2	no	—
688	#124	—	2	4	no	—
689	#124	—	2	4	no	—
690	#124	C₂×D₄	1	4	yes	—
691	#124	C₂×D₄	1	8	yes	—
692	#124	C₂⁴	1	4	yes	—
693	#124	C₂⁴	1	8	yes	—
694	#123	—	2	4	no	—
695	#123	—	2	8	no	—
696	#123	—	2	4	no	—
697	#123	—	2	8	no	—
698	#123	—	2	4	no	—
699	#123	—	2	8	no	—
700	#123	—	2	8	no	—
701	#123	—	2	8	no	—
702	#123	—	2	8	no	—
703	#123	—	2	8	no	—
704	#123	—	2	8	no	—
705	#123	—	2	4	no	—
706	#123	—	2	4	no	—
707	#123	—	2	4	no	—
708	#123	—	2	4	no	—
709	#123	—	2	8	no	—
710	#123	—	2	8	no	—
711	#123	—	2	8	no	—
712	#123	C₂×D₄	1	8	yes	—
713	#123	C₂×D₄	1	8	yes	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	—	2	2	no	—
716	C₂²⋊Q₈	—	2	8	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	4	no	—
720	C₂²⋊Q₈	—	2	4	no	—
721	C₂²⋊Q₈	—	2	2	no	—
722	C₂²⋊Q₈	—	2	4	no	—
723	C₂²⋊Q₈	—	2	8	no	—
724	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
725	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
726	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
727	C₂²⋊Q₈	C₂⁴	1	4	yes	—
728	C₂²⋊Q₈	C₂⁴	1	8	yes	—
729	C₂²⋊Q₈	C₂⁴	1	4	yes	—
730	#121	—	2	2	no	—
731	#121	—	2	8	no	—
732	#121	—	2	8	no	—
733	#121	—	2	4	no	—
734	#121	—	2	4	no	—
735	#121	—	2	8	no	—
736	#121	—	2	2	no	—
737	#121	—	2	8	no	—
738	#121	—	2	8	no	—
739	#121	—	2	4	no	—
740	#121	—	2	4	no	—
741	#121	—	2	8	no	—
742	#121	—	2	2	no	—
743	#121	—	2	4	no	—
744	#121	—	2	4	no	—
745	#121	—	2	4	no	—
746	#121	—	2	4	no	—
747	#121	—	2	4	no	—
748	#121	—	2	4	no	—
749	#121	—	2	4	no	—
750	#121	—	2	4	no	—
751	#121	—	2	4	no	—
752	#121	—	2	2	no	—
753	#121	—	2	4	no	—
754	#121	—	2	4	no	—
755	#121	—	2	2	no	—
756	#121	—	2	8	no	—
757	#121	—	2	8	no	—
758	#121	—	2	8	no	—
759	#121	—	2	8	no	—
760	#121	—	2	8	no	—
761	#121	—	2	8	no	—
762	#121	—	2	8	no	—
763	#121	—	2	8	no	—
764	#121	—	2	8	no	—
765	#121	—	2	4	no	—
766	#121	—	2	8	no	—
767	#121	—	2	8	no	—
768	#121	—	2	8	no	—
769	#121	—	2	8	no	—
770	#121	—	2	8	no	—
771	#121	—	2	8	no	—
772	#121	—	2	8	no	—
773	#121	C₂×D₄	1	4	yes	—
774	#121	C₂×D₄	1	4	yes	—
775	#121	C₂×D₄	1	4	yes	—
776	#121	C₂×D₄	1	4	yes	—
777	#121	C₂×D₄	1	4	yes	—
778	#121	C₂×D₄	1	8	yes	—
779	#121	C₂⁴	1	8	yes	—
780	#121	C₂⁴	1	8	yes	—
781	#121	C₂⁴	1	4	yes	—
782	#121	C₂⁴	1	8	yes	—
783	#121	C₂⁴	1	4	yes	—
784	#121	C₂⁴	1	4	yes	—
785	#121	C₂⁴	1	8	yes	—
786	#121	C₂⁴	1	4	yes	—
787	#121	C₂⁴	1	8	yes	—
788	#120	—	2	8	no	—
789	#120	—	2	4	no	—
790	#120	—	2	8	no	—
791	#120	—	2	8	no	—
792	#120	—	2	8	no	—
793	#120	—	2	8	no	—
794	#120	—	2	8	no	—
795	#120	—	2	8	no	—
796	#120	—	2	8	no	—
797	#120	—	2	8	no	—
798	#120	—	2	4	no	—
799	#120	—	2	8	no	—
800	#120	—	2	8	no	—
801	#120	—	2	8	no	—
802	#120	—	2	8	no	—
803	#120	—	2	8	no	—
804	#120	—	2	8	no	—
805	#120	—	2	8	no	—
806	#120	—	2	8	no	—
807	#120	—	2	8	no	—
808	#120	—	2	4	no	—
809	#120	—	2	8	no	—
810	#120	—	2	4	no	—
811	#120	—	2	8	no	—
812	#120	—	2	8	no	—
813	#120	—	2	8	no	—
814	#120	C₂×D₄	1	8	yes	—
815	C₄×Q₈	—	2	4	no	—
816	C₄×Q₈	—	2	2	no	—
817	C₄×Q₈	C₂×D₄	1	2	yes	—
818	C₄×Q₈	C₂⁴	1	4	yes	—
819	C₄×Q₈	C₂⁴	1	4	yes	—
820	C₄×Q₈	C₂⁴	1	2	yes	—
821	C₄×D₄	—	2	4	no	—
822	C₄×D₄	—	2	4	no	—
823	C₄×D₄	—	2	8	no	—
824	C₄×D₄	—	2	4	no	—
825	C₄×D₄	—	2	8	no	—
826	C₄×D₄	—	2	4	no	—
827	C₄×D₄	—	2	4	no	—
828	C₄×D₄	—	2	8	no	—
829	C₄×D₄	—	2	8	no	—
830	C₄×D₄	—	2	4	no	—
831	C₄×D₄	—	2	8	no	—
832	C₄×D₄	—	2	8	no	—
833	C₄×D₄	—	2	2	no	—
834	C₄×D₄	—	2	2	no	—
835	C₄×D₄	—	2	4	no	—
836	C₄×D₄	—	2	4	no	—
837	C₄×D₄	—	2	4	no	—
838	C₄×D₄	—	2	4	no	—
839	C₄×D₄	—	2	2	no	—
840	C₄×D₄	—	2	4	no	—
841	C₄×D₄	—	2	4	no	—
842	C₄×D₄	—	2	4	no	—
843	C₄×D₄	C₂×D₄	1	4	yes	—
844	C₄×D₄	C₂×D₄	1	4	yes	—
845	C₄×D₄	C₂×D₄	1	2	yes	—
846	C₄×D₄	C₂⁴	1	2	yes	—
847	C₄×D₄	C₂⁴	1	2	yes	—
848	C₄×D₄	C₂⁴	1	2	yes	—
849	C₄×D₄	C₂⁴	1	2	yes	—
850	C₄×D₄	C₂⁴	1	4	yes	—
851	C₄×D₄	C₂⁴	1	4	yes	—
852	C₄×D₄	C₂⁴	1	4	yes	—
853	C₄×D₄	C₂⁴	1	4	yes	—
854	C₄×D₄	C₂⁴	1	8	yes	—
855	C₄×D₄	C₂⁴	1	8	yes	—
856	C₄×D₄	C₂⁴	1	4	yes	—
857	C₄×D₄	C₂⁴	1	4	yes	—
858	C₄×D₄	C₂⁴	1	2	yes	—
859	C₄×D₄	C₂⁴	1	8	yes	—
860	#117	—	2	2	no	—
861	#117	—	2	2	no	—
862	#117	—	2	2	no	—
863	#117	—	2	4	no	—
864	#117	—	2	8	no	—
865	#117	—	2	4	no	—
866	#117	—	2	4	no	—
867	#117	—	2	4	no	—
868	#117	C₂×D₄	1	2	yes	—
869	#117	C₂×D₄	1	4	yes	—
870	#117	C₂⁴	1	4	yes	—
871	#117	C₂⁴	1	8	yes	—
872	#117	C₂⁴	1	4	yes	—
873	C₂×C₄⋊C₄	—	2	2	no	—
874	C₂×C₄⋊C₄	—	2	2	no	—
875	C₂×C₄⋊C₄	—	2	4	no	—
876	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	—	2	2	no	—
880	C₂×C₂²⋊C₄	—	2	4	no	—
881	C₂×C₂²⋊C₄	—	2	4	no	—
882	C₂×C₂²⋊C₄	—	2	4	no	—
883	C₂×C₂²⋊C₄	—	2	8	no	—
884	C₂×C₂²⋊C₄	—	2	8	no	—
885	C₂×C₂²⋊C₄	—	2	8	no	—
886	C₂×C₂²⋊C₄	—	2	8	no	—
887	C₂×C₂²⋊C₄	—	2	8	no	—
888	C₂×C₂²⋊C₄	—	2	8	no	—
889	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
890	C₂×C₄²	—	2	4	no	—
891	C₂×C₄²	C₂⁴	1	1	yes	characteristic
892	C₂×C₄²	C₂⁴	1	4	yes	—
893	#107	C₂⁴	1	2	yes	—
894	#107	C₂⁴	1	1	yes	characteristic
895	#107	C₂⁴	1	1	yes	characteristic
896	#107	C₂⁴	1	4	yes	—
897	#107	C₂⁴	1	4	yes	—
898	#107	C₂⁴	1	4	yes	—
899	#107	C₂⁴	1	4	yes	—
900	#106	C₂⁴	1	4	yes	—
901	#106	C₂⁴	1	4	yes	—
902	#106	C₂⁴	1	4	yes	—
903	#106	C₂⁴	1	4	yes	—
904	C₄⋊C₈	C₂⁴	1	4	yes	—
905	C₄⋊C₈	C₂⁴	1	2	yes	—
906	C₄⋊C₈	C₂⁴	1	8	yes	—
907	C₄⋊C₈	C₂⁴	1	4	yes	—
908	C₄⋊C₈	C₂⁴	1	2	yes	—
909	C₄⋊C₈	C₂⁴	1	4	yes	—
910	#103	C₂⁴	1	4	yes	—
911	#103	C₂⁴	1	4	yes	—
912	#103	C₂⁴	1	8	yes	—
913	#103	C₂⁴	1	4	yes	—
914	#103	C₂⁴	1	4	yes	—
915	#102	C₂⁴	1	8	yes	—
916	#102	C₂⁴	1	8	yes	—
917	#102	C₂⁴	1	2	yes	—
918	#102	C₂⁴	1	2	yes	—
919	#102	C₂⁴	1	2	yes	—
920	#102	C₂⁴	1	2	yes	—
921	#102	C₂⁴	1	4	yes	—
922	#102	C₂⁴	1	8	yes	—
923	#102	C₂⁴	1	8	yes	—
924	#102	C₂⁴	1	4	yes	—
925	#102	C₂⁴	1	8	yes	—
926	#102	C₂⁴	1	4	yes	—
927	#102	C₂⁴	1	4	yes	—
928	#102	C₂⁴	1	4	yes	—
929	#102	C₂⁴	1	4	yes	—
930	#102	C₂⁴	1	4	yes	—
931	#102	C₂⁴	1	8	yes	—
932	#102	C₂⁴	1	8	yes	—
933	#102	C₂⁴	1	4	yes	—
934	C₂²⋊C₈	C₂⁴	1	8	yes	—
935	C₂²⋊C₈	C₂⁴	1	4	yes	—
936	C₂²⋊C₈	C₂⁴	1	8	yes	—
937	C₂²⋊C₈	C₂⁴	1	8	yes	—
938	C₂²⋊C₈	C₂⁴	1	4	yes	—
939	C₂²⋊C₈	C₂⁴	1	4	yes	—
940	#97	C₂⁴	1	4	yes	—
941	#97	C₂⁴	1	4	yes	—
942	C₄×C₈	C₂⁴	1	2	yes	—
943	C₄×C₈	C₂⁴	1	2	yes	—
944	C₄×C₈	C₂⁴	1	4	yes	—
945	C₄×C₈	C₂⁴	1	8	yes	—
946	C₂⁴	—	2	2	no	—
947	C₂⁴	—	2	8	no	—
948	C₂⁴	—	2	4	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	8	no	—
951	C₂⁴	—	2	8	no	—
952	C₂⁴	—	8	8	no	—
953	C₂⁴	—	8	8	no	—
954	C₂⁴	—	16	4	no	—
955	C₂⁴	C₂²×D₄	1	2	yes	—
956	#41	—	2	8	no	—
957	#41	—	2	8	no	—
958	#41	—	4	4	no	—
959	#41	—	4	4	no	—
960	#41	—	4	4	no	—
961	#41	—	4	8	no	—
962	#41	—	4	8	no	—
963	#41	—	4	8	no	—
964	#41	—	4	8	no	—
965	#41	—	4	8	no	—
966	#41	—	8	8	no	—
967	#41	—	8	8	no	—
968	#41	—	8	8	no	—
969	#41	—	8	4	no	—
970	#41	—	8	16	no	—
971	#41	—	8	4	no	—
972	#41	—	8	8	no	—
973	#41	—	16	4	no	—
974	C₂×Q₈	—	2	2	no	—
975	C₂×Q₈	—	2	2	no	—
976	C₂×Q₈	—	2	4	no	—
977	C₂×Q₈	—	8	4	no	—
978	C₂×Q₈	C₂²×D₄	1	2	yes	—
979	C₂×Q₈	C₂²×D₄	1	4	yes	—
980	C₂×Q₈	C₂⁵	1	4	yes	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	16	no	—
983	C₂×D₄	—	2	8	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	4	no	—
986	C₂×D₄	—	2	4	no	—
987	C₂×D₄	—	2	8	no	—
988	C₂×D₄	—	2	8	no	—
989	C₂×D₄	—	2	4	no	—
990	C₂×D₄	—	2	8	no	—
991	C₂×D₄	—	2	8	no	—
992	C₂×D₄	—	2	8	no	—
993	C₂×D₄	—	2	8	no	—
994	C₂×D₄	—	2	4	no	—
995	C₂×D₄	—	2	8	no	—
996	C₂×D₄	—	2	4	no	—
997	C₂×D₄	—	2	4	no	—
998	C₂×D₄	—	2	8	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	4	no	—
1001	C₂×D₄	—	2	4	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	8	no	—
1007	C₂×D₄	—	2	2	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	2	8	no	—
1010	C₂×D₄	—	2	8	no	—
1011	C₂×D₄	—	2	8	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	4	8	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	8	no	—
1018	C₂×D₄	—	4	8	no	—
1019	C₂×D₄	—	4	4	no	—
1020	C₂×D₄	—	4	8	no	—
1021	C₂×D₄	—	4	8	no	—
1022	C₂×D₄	—	4	8	no	—
1023	C₂×D₄	—	8	8	no	—
1024	C₂×D₄	—	8	8	no	—
1025	C₂×D₄	—	8	8	no	—
1026	C₂×D₄	—	8	8	no	—
1027	C₂×D₄	—	8	8	no	—
1028	C₂×D₄	—	8	4	no	—
1029	C₂×D₄	—	8	8	no	—
1030	C₂×D₄	—	8	16	no	—
1031	C₂×D₄	—	8	8	no	—
1032	C₂×D₄	—	8	16	no	—
1033	C₂×D₄	—	8	8	no	—
1034	C₂×D₄	—	8	8	no	—
1035	C₂×D₄	—	8	16	no	—
1036	C₂×D₄	—	8	16	no	—
1037	C₂×D₄	—	8	16	no	—
1038	C₂×D₄	—	16	2	no	—
1039	C₂×D₄	—	16	4	no	—
1040	C₂×D₄	—	16	8	no	—
1041	C₂×D₄	—	16	8	no	—
1042	C₂×D₄	C₂²×D₄	1	4	yes	—
1043	C₂×D₄	C₂²×D₄	1	4	yes	—
1044	C₂×D₄	C₂²×D₄	1	2	yes	—
1045	C₂×D₄	C₂²×D₄	1	8	yes	—
1046	C₂×D₄	C₂²×D₄	1	8	yes	—
1047	C₂×D₄	C₂²×D₄	1	4	yes	—
1048	C₂×D₄	C₂⁵	1	2	yes	—
1049	C₂×D₄	C₂⁵	1	8	yes	—
1050	C₂×D₄	C₂⁵	1	4	yes	—
1051	C₂×D₄	C₂⁵	1	2	yes	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	4	no	—
1054	C₂²×C₄	—	2	2	no	—
1055	C₂²×C₄	—	2	4	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	4	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	4	no	—
1061	C₂²×C₄	—	2	4	no	—
1062	C₂²×C₄	—	2	8	no	—
1063	C₂²×C₄	—	2	8	no	—
1064	C₂²×C₄	—	2	8	no	—
1065	C₂²×C₄	—	2	4	no	—
1066	C₂²×C₄	—	2	8	no	—
1067	C₂²×C₄	—	4	2	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	8	no	—
1070	C₂²×C₄	—	8	8	no	—
1071	C₂²×C₄	C₂²×D₄	1	4	yes	—
1072	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1073	C₂²×C₄	C₂²×D₄	1	4	yes	—
1074	C₂²×C₄	C₂²×D₄	1	2	yes	—
1075	C₂²×C₄	C₂²×D₄	1	4	yes	—
1076	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁵	1	4	yes	—
1079	C₂²×C₄	C₂⁵	1	4	yes	—
1080	Q₁₆	—	4	4	no	—
1081	SD₁₆	—	2	8	no	—
1082	SD₁₆	—	2	8	no	—
1083	SD₁₆	—	4	8	no	—
1084	SD₁₆	—	4	4	no	—
1085	SD₁₆	—	4	8	no	—
1086	SD₁₆	—	4	4	no	—
1087	D₈	—	2	4	no	—
1088	D₈	—	2	16	no	—
1089	D₈	—	2	8	no	—
1090	D₈	—	2	2	no	—
1091	D₈	—	2	8	no	—
1092	D₈	—	4	4	no	—
1093	D₈	—	4	8	no	—
1094	D₈	—	4	4	no	—
1095	D₈	—	4	8	no	—
1096	D₈	—	4	8	no	—
1097	D₈	—	4	8	no	—
1098	D₈	—	4	4	no	—
1099	D₈	H(5,𝔽₂)	1	4	yes	complemented
1100	M₁₆	—	2	8	no	—
1101	M₁₆	—	4	4	no	—
1102	M₁₆	—	4	4	no	—
1103	M₁₆	—	4	4	no	—
1104	C₂×C₈	—	2	2	no	—
1105	C₂×C₈	—	2	8	no	—
1106	C₂×C₈	—	4	4	no	—
1107	C₂×C₈	—	4	2	no	—
1108	C₂×C₈	—	4	8	no	—
1109	C₂×C₈	—	4	1	no	—
1110	C₂×C₈	C₂⁵	1	4	yes	—
1111	C₂×C₈	C₂⁵	1	2	yes	—
1112	C₂×C₈	C₂⁵	1	4	yes	—
1113	C₂×C₈	C₂⁵	1	1	yes	characteristic
1114	C₂×C₈	C₂⁵	1	4	yes	—
1115	C₂×C₈	C₂⁵	1	1	yes	characteristic
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	4	no	—
1119	C₄⋊C₄	—	2	4	no	—
1120	C₄⋊C₄	—	2	8	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	4	no	—
1123	C₄⋊C₄	—	2	4	no	—
1124	C₄⋊C₄	—	2	4	no	—
1125	C₄⋊C₄	—	2	4	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	4	no	—
1128	C₄⋊C₄	—	2	4	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1131	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1132	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1133	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1134	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1135	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1136	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1137	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1138	C₄⋊C₄	C₂⁵	1	4	yes	—
1139	C₄⋊C₄	C₂⁵	1	2	yes	—
1140	C₄⋊C₄	C₂⁵	1	4	yes	—
1141	C₄⋊C₄	C₂⁵	1	2	yes	—
1142	C₂²⋊C₄	—	2	4	no	—
1143	C₂²⋊C₄	—	2	8	no	—
1144	C₂²⋊C₄	—	2	8	no	—
1145	C₂²⋊C₄	—	2	4	no	—
1146	C₂²⋊C₄	—	2	4	no	—
1147	C₂²⋊C₄	—	2	4	no	—
1148	C₂²⋊C₄	—	2	2	no	—
1149	C₂²⋊C₄	—	2	4	no	—
1150	C₂²⋊C₄	—	2	4	no	—
1151	C₂²⋊C₄	—	2	4	no	—
1152	C₂²⋊C₄	—	2	8	no	—
1153	C₂²⋊C₄	—	2	8	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	4	no	—
1156	C₂²⋊C₄	—	2	4	no	—
1157	C₂²⋊C₄	—	2	8	no	—
1158	C₂²⋊C₄	—	2	8	no	—
1159	C₂²⋊C₄	—	2	8	no	—
1160	C₂²⋊C₄	—	2	8	no	—
1161	C₂²⋊C₄	—	2	2	no	—
1162	C₂²⋊C₄	—	2	2	no	—
1163	C₂²⋊C₄	—	2	8	no	—
1164	C₂²⋊C₄	—	2	8	no	—
1165	C₂²⋊C₄	—	2	4	no	—
1166	C₂²⋊C₄	—	2	4	no	—
1167	C₂²⋊C₄	—	2	8	no	—
1168	C₂²⋊C₄	—	2	4	no	—
1169	C₂²⋊C₄	—	2	4	no	—
1170	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1171	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1172	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1173	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1174	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1175	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1176	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1177	C₄²	—	2	4	no	—
1178	C₄²	—	2	4	no	—
1179	C₄²	—	2	4	no	—
1180	C₄²	—	2	8	no	—
1181	C₄²	C₂²×D₄	1	4	yes	—
1182	C₄²	C₂²×D₄	1	4	yes	—
1183	C₄²	C₂²×D₄	1	2	yes	—
1184	C₄²	C₂⁵	1	2	yes	—
1185	C₄²	C₂⁵	1	4	yes	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	4	no	—
1188	C₂³	—	2	2	no	—
1189	C₂³	—	2	8	no	—
1190	C₂³	—	2	4	no	—
1191	C₂³	—	4	2	no	—
1192	C₂³	—	4	2	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	8	no	—
1195	C₂³	—	4	16	no	—
1196	C₂³	—	4	4	no	—
1197	C₂³	—	4	8	no	—
1198	C₂³	—	8	2	no	—
1199	C₂³	—	8	4	no	—
1200	C₂³	—	8	4	no	—
1201	C₂³	—	8	8	no	—
1202	C₂³	—	8	8	no	—
1203	C₂³	—	8	8	no	—
1204	C₂³	—	8	4	no	—
1205	C₂³	—	8	4	no	—
1206	C₂³	—	8	8	no	—
1207	C₂³	—	8	8	no	—
1208	C₂³	—	8	8	no	—
1209	C₂³	—	8	8	no	—
1210	C₂³	—	8	8	no	—
1211	C₂³	—	16	32	no	—
1212	C₂³	C₂³×D₄	1	4	yes	—
1213	C₂³	C₂³×D₄	1	4	yes	—
1214	C₂³	C₂³×D₄	1	1	yes	characteristic
1215	Q₈	—	2	4	no	—
1216	Q₈	—	2	4	no	—
1217	Q₈	—	2	4	no	—
1218	Q₈	—	4	4	no	—
1219	Q₈	—	4	4	no	—
1220	Q₈	—	8	4	no	—
1221	Q₈	—	8	2	no	—
1222	D₄	—	2	8	no	—
1223	D₄	—	2	2	no	—
1224	D₄	—	2	8	no	—
1225	D₄	—	2	4	no	—
1226	D₄	—	2	2	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	2	4	no	—
1229	D₄	—	2	2	no	—
1230	D₄	—	2	8	no	—
1231	D₄	—	2	4	no	—
1232	D₄	—	4	4	no	—
1233	D₄	—	4	8	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	4	no	—
1236	D₄	—	4	16	no	—
1237	D₄	—	4	8	no	—
1238	D₄	—	4	8	no	—
1239	D₄	—	4	8	no	—
1240	D₄	—	4	8	no	—
1241	D₄	—	4	8	no	—
1242	D₄	—	4	4	no	—
1243	D₄	—	8	4	no	—
1244	D₄	—	8	8	no	—
1245	D₄	—	8	8	no	—
1246	D₄	—	8	8	no	—
1247	D₄	—	8	4	no	—
1248	D₄	—	8	4	no	—
1249	D₄	—	8	2	no	—
1250	D₄	—	8	8	no	—
1251	D₄	—	8	4	no	—
1252	D₄	—	8	4	no	—
1253	D₄	—	8	8	no	—
1254	D₄	—	8	8	no	—
1255	D₄	—	8	8	no	—
1256	D₄	—	8	8	no	—
1257	D₄	—	8	8	no	—
1258	D₄	—	8	4	no	—
1259	D₄	—	8	4	no	—
1260	D₄	—	8	4	no	—
1261	D₄	—	8	8	no	—
1262	D₄	—	8	8	no	—
1263	D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	8	no	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	4	4	no	—
1277	C₂×C₄	—	4	2	no	—
1278	C₂×C₄	—	4	1	no	—
1279	C₂×C₄	—	4	4	no	—
1280	C₂×C₄	—	4	8	no	—
1281	C₂×C₄	—	4	4	no	—
1282	C₂×C₄	—	4	4	no	—
1283	C₂×C₄	—	4	4	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	4	4	no	—
1286	C₂×C₄	—	4	8	no	—
1287	C₂×C₄	—	8	4	no	—
1288	C₂×C₄	—	8	4	no	—
1289	C₂×C₄	—	8	8	no	—
1290	C₂×C₄	—	8	8	no	—
1291	C₂×C₄	—	8	8	no	—
1292	C₂×C₄	—	8	4	no	—
1293	C₂×C₄	—	8	8	no	—
1294	C₂×C₄	—	8	4	no	—
1295	C₂×C₄	#576	1	4	yes	complemented
1296	C₂×C₄	C₂³×D₄	1	4	yes	—
1297	C₂×C₄	C₂³×D₄	1	4	yes	—
1298	C₂×C₄	C₂³×D₄	1	4	yes	—
1299	C₂×C₄	C₂³×D₄	1	2	yes	—
1300	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1301	C₂×C₄	C₂³×D₄	1	4	yes	—
1302	C₂×C₄	C₂³×D₄	1	2	yes	—
1303	C₂×C₄	C₂⁶	1	1	yes	characteristic
1304	C₈	—	2	1	no	—
1305	C₈	—	2	4	no	—
1306	C₈	—	2	4	no	—
1307	C₈	—	2	2	no	—
1308	C₈	—	2	4	no	—
1309	C₈	C₂×H(5,𝔽₂)	1	2	yes	—
1310	C₂²	—	2	1	no	—
1311	C₂²	—	2	1	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	4	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	4	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	4	8	no	—
1320	C₂²	—	4	2	no	—
1321	C₂²	—	4	2	no	—
1322	C₂²	—	4	4	no	—
1323	C₂²	—	4	8	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	4	2	no	—
1326	C₂²	—	4	4	no	—
1327	C₂²	—	4	8	no	—
1328	C₂²	—	4	8	no	—
1329	C₂²	—	4	4	no	—
1330	C₂²	—	4	2	no	—
1331	C₂²	—	8	8	no	—
1332	C₂²	—	16	8	no	—
1333	C₂²	—	16	8	no	—
1334	C₂²	—	16	16	no	—
1335	C₂²	—	16	16	no	—
1336	C₂²	—	32	8	no	—
1337	C₂²	C₂×#576	1	2	yes	—
1338	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1339	C₄	—	2	1	no	—
1340	C₄	—	2	4	no	—
1341	C₄	—	2	4	no	—
1342	C₄	—	2	4	no	—
1343	C₄	—	2	2	no	—
1344	C₄	—	2	4	no	—
1345	C₄	—	4	4	no	—
1346	C₄	—	4	2	no	—
1347	C₄	—	4	2	no	—
1348	C₄	—	4	4	no	—
1349	C₄	—	4	4	no	—
1350	C₄	C₂×#576	1	4	yes	—
1351	C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1352	C₄	H(7,𝔽₂)	1	1	yes	characteristic
1353	C₂	—	2	2	no	—
1354	C₂	—	4	4	no	—
1355	C₂	—	4	4	no	—
1356	C₂	—	4	4	no	—
1357	C₂	—	8	2	no	—
1358	C₂	—	8	8	no	—
1359	C₂	—	8	4	no	—
1360	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1361	C₂	C₂²×#576	1	1	yes	characteristic
1362	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 ◁ #3460 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62912	C₂	semidirect
2. #62463	C₂	semidirect
3. #62423	C₂	semidirect
4. #62349	C₂	semidirect
5. #62278	C₂	semidirect
6. #62248	C₂	semidirect
7. #62067	C₂	semidirect
8. #62051	C₂	semidirect
9. #61949	C₂	semidirect
10. #61947	C₂	semidirect
11. #61661	C₂	semidirect
12. #61657	C₂	semidirect
13. #61609	C₂	semidirect
14. #61582	C₂	semidirect
15. #61539	C₂	semidirect
16. #61437	C₂	semidirect
17. #61093	C₂	semidirect
18. #61049	C₂	semidirect
19. C₂×D₄×D₈	C₂	semidirect
20. #60312	C₂	semidirect
21. C₂×#576	C₂²	semidirect
22. C₂³×D₈	C₂²	semidirect
24. #3549	C₂²	semidirect
25. #3546	C₂²	semidirect
26. #3546	C₂²	semidirect
28. #3543	C₂²	semidirect
30. #3542	C₂²	semidirect
33. #3519	C₂²	semidirect
34. #3514	C₂²	semidirect
35. #3508	C₂²	semidirect
36. #3506	C₂²	semidirect
37. #3498	C₂²	semidirect
38. #3498	C₂²	semidirect
39. #3496	C₂²	semidirect
43. #3484	C₂²	semidirect
44. #3475	C₂²	semidirect
45. D₄×#41	C₂²	semidirect
46. C₂×D₄²	C₂²	semidirect
49. #3399	C₂²	semidirect
50. #3399	C₂²	semidirect
51. #3397	C₂²	semidirect
52. #3394	C₂²	semidirect
53. #3391	C₂²	semidirect
54. #3384	C₂²	semidirect
55. #3367	C₂²	semidirect
56. #3366	C₂²	semidirect
57. #3361	C₂²	semidirect
58. #3358	C₂²	semidirect
59. #3354	C₂²	semidirect
60. #3347	C₂²	semidirect
61. #3343	C₂²	semidirect
62. #3340	C₂²	semidirect
63. #3330	C₂²	semidirect
64. #3325	C₂²	semidirect
65. #3325	C₂²	semidirect
66. #3325	C₂²	semidirect
67. #3325	C₂²	semidirect
68. #3324	C₂²	semidirect
69. #3324	C₂²	semidirect
70. #3322	C₂²	semidirect
71. #3319	C₂²	semidirect
72. #3318	C₂²	semidirect
73. #3310	C₂²	semidirect
74. #3306	C₂²	semidirect
75. #3305	C₂²	semidirect
76. #3305	C₂²	semidirect
77. #3305	C₂²	semidirect
78. #3302	C₂²	semidirect
79. #3297	C₂²	semidirect
80. #3296	C₂²	semidirect
81. #3294	C₂²	semidirect
82. #3294	C₂²	semidirect
83. #3284	C₂²	semidirect
84. #3284	C₂²	semidirect
85. #3280	C₂²	semidirect
86. #3280	C₂²	semidirect
87. D₄×D₈	C₂²	semidirect
88. D₄×D₈	C₂²	semidirect
89. D₄×D₈	C₂²	semidirect
90. D₄×D₈	C₂²	semidirect
91. D₄×D₈	C₂²	semidirect
92. D₄×D₈	C₂²	semidirect
93. D₄×D₈	C₂²	semidirect
94. #3274	C₂²	semidirect
95. #3274	C₂²	semidirect
96. #3274	C₂²	semidirect
97. #3274	C₂²	semidirect
98. #3274	C₂²	semidirect
99. #3273	C₂²	semidirect
100. #3272	C₂²	semidirect
101. #3272	C₂²	semidirect
102. #3272	C₂²	semidirect
103. #3268	C₂²	semidirect
104. #3268	C₂²	semidirect
105. #3264	C₂²	semidirect
106. #3264	C₂²	semidirect
107. #3264	C₂²	semidirect
108. #3264	C₂²	semidirect
109. #3264	C₂²	semidirect
110. #3264	C₂²	semidirect
111. #3262	C₂²	semidirect
112. #3259	C₂²	semidirect
113. #3249	C₂²	semidirect
114. #3247	C₂²	semidirect
115. #3245	C₂²	semidirect
116. #3245	C₂²	semidirect
117. #3224	C₂²	semidirect
118. #3220	C₂²	semidirect
119. #3212	C₂²	semidirect
120. #3208	C₂²	semidirect
121. #3207	C₂²	semidirect
122. #3205	C₂²	semidirect
123. #3205	C₂²	semidirect
124. #3205	C₂²	semidirect
125. #3203	C₂²	semidirect
126. #3199	C₂²	semidirect
127. #3199	C₂²	semidirect
128. #3198	C₂²	semidirect
129. #3194	C₂²	semidirect
130. #3191	C₂²	semidirect
131. #3184	C₂²	semidirect
132. #3179	C₂²	semidirect
133. #3171	C₂²	semidirect
134. #3167	C₂²	semidirect
135. #3155	C₂²	semidirect
136. #3151	C₂²	semidirect
137. C₂×#493	C₂²	semidirect
138. #3122	C₂²	semidirect
139. #3118	C₂²	semidirect
140. #3106	C₂²	semidirect
141. #3106	C₂²	semidirect
142. #3105	C₂²	semidirect
143. #3101	C₂²	semidirect
144. #3100	C₂²	semidirect
145. #3100	C₂²	semidirect
146. #3062	C₂²	semidirect
147. #3058	C₂²	semidirect
148. #3050	C₂²	semidirect
149. C₂×#466	C₂²	semidirect
150. #3041	C₂²	semidirect
151. #3035	C₂²	semidirect
152. C₂×#459	C₂²	semidirect
153. C₂×#459	C₂²	semidirect
154. #3012	C₂²	semidirect
155. #3008	C₂²	semidirect
156. #3008	C₂²	semidirect
157. #3003	C₂²	semidirect
158. C₂×#447	C₂²	semidirect
159. #2994	C₂²	semidirect
160. #2988	C₂²	semidirect
161. #2979	C₂²	semidirect
162. #2976	C₂²	semidirect
163. #2975	C₂²	semidirect
164. #2969	C₂²	semidirect
165. #2965	C₂²	semidirect
166. #2948	C₂²	semidirect
167. C₄×AGL(1,ℤ/8)	C₂²	semidirect
168. C₂×C₄×D₈	C₂²	semidirect
169. #2935	C₂²	semidirect
170. #2929	C₂²	semidirect
171. C₂×C₈×D₄	C₂²	semidirect
173. C₂×H(5,𝔽₂)	C₂³	semidirect
179. C₂×AGL(1,ℤ/8)	C₂³	semidirect
180. C₂×AGL(1,ℤ/8)	C₂³	semidirect
181. C₂×AGL(1,ℤ/8)	C₂³	semidirect
182. C₂×AGL(1,ℤ/8)	C₂³	semidirect
183. C₂×#135	C₂³	semidirect
184. C₂×#135	C₂³	semidirect
193. C₂²×D₈	C₂³	semidirect
194. C₂×#131	C₂³	semidirect
204. #559	C₂³	semidirect
206. #556	C₂³	semidirect
209. #555	C₂³	semidirect
210. #555	C₂³	semidirect
211. #554	C₂³	semidirect
216. #553	C₂³	semidirect
226. #550	C₂³	semidirect
227. #550	C₂³	semidirect
228. #550	C₂³	semidirect
229. #550	C₂³	semidirect
230. D₄×Q₈	C₂³	semidirect
236. #547	C₂³	semidirect
237. #547	C₂³	semidirect
253. #546	C₂³	semidirect
254. #546	C₂³	semidirect
255. #546	C₂³	semidirect
274. D₄²	C₂³	semidirect
275. D₄²	C₂³	semidirect
276. D₄²	C₂³	semidirect
277. D₄²	C₂³	semidirect
281. #542	C₂³	semidirect
286. #540	C₂³	semidirect
296. #537	C₂³	semidirect
310. #535	C₂³	semidirect
311. #535	C₂³	semidirect
312. #535	C₂³	semidirect
322. #532	C₂³	semidirect
323. #532	C₂³	semidirect
324. #532	C₂³	semidirect
325. #532	C₂³	semidirect
328. C₂×#127	C₂³	semidirect
332. #529	C₂³	semidirect
350. #518	C₂³	semidirect
352. C₄×#41	C₂³	semidirect
355. C₂×C₄×D₄	C₂³	semidirect
357. #501	C₂³	semidirect
358. #498	C₂³	semidirect
360. #496	C₂³	semidirect
361. #496	C₂³	semidirect
362. #495	C₂³	semidirect
365. #493	C₂³	semidirect
366. #493	C₂³	semidirect
367. #492	C₂³	semidirect
368. #492	C₂³	semidirect
369. #490	C₂³	semidirect
370. #489	C₂³	semidirect
371. #488	C₂³	semidirect
372. #487	C₂³	semidirect
373. #486	C₂³	semidirect
374. #486	C₂³	semidirect
375. #486	C₂³	semidirect
376. #486	C₂³	semidirect
377. #485	C₂³	semidirect
378. #484	C₂³	semidirect
380. #482	C₂³	semidirect
381. #482	C₂³	semidirect
382. #482	C₂³	semidirect
383. #482	C₂³	semidirect
384. #482	C₂³	semidirect
385. #482	C₂³	semidirect
386. #481	C₂³	semidirect
388. #480	C₂³	semidirect
389. #478	C₂³	semidirect
390. #478	C₂³	semidirect
391. #478	C₂³	semidirect
392. #477	C₂³	semidirect
393. #477	C₂³	semidirect
394. #476	C₂³	semidirect
395. #476	C₂³	semidirect
396. #476	C₂³	semidirect
397. #474	C₂³	semidirect
398. #474	C₂³	semidirect
399. #474	C₂³	semidirect
400. #474	C₂³	semidirect
402. #469	C₂³	semidirect
403. #469	C₂³	semidirect
404. #469	C₂³	semidirect
405. #469	C₂³	semidirect
406. #469	C₂³	semidirect
407. #468	C₂³	semidirect
408. #468	C₂³	semidirect
409. #468	C₂³	semidirect
410. #468	C₂³	semidirect
412. #467	C₂³	semidirect
417. #466	C₂³	semidirect
418. #466	C₂³	semidirect
419. #466	C₂³	semidirect
420. #466	C₂³	semidirect
423. #465	C₂³	semidirect
424. #465	C₂³	semidirect
425. #464	C₂³	semidirect
427. #463	C₂³	semidirect
428. #463	C₂³	semidirect
429. #463	C₂³	semidirect
430. #463	C₂³	semidirect
431. #463	C₂³	semidirect
432. #462	C₂³	semidirect
433. #461	C₂³	semidirect
434. #461	C₂³	semidirect
435. #460	C₂³	semidirect
436. #460	C₂³	semidirect
437. #460	C₂³	semidirect
443. #459	C₂³	semidirect
444. #459	C₂³	semidirect
445. #459	C₂³	semidirect
446. #459	C₂³	semidirect
447. #459	C₂³	semidirect
448. #459	C₂³	semidirect
449. #459	C₂³	semidirect
450. #459	C₂³	semidirect
451. #459	C₂³	semidirect
452. #459	C₂³	semidirect
453. #452	C₂³	semidirect
454. #452	C₂³	semidirect
457. #450	C₂³	semidirect
458. #450	C₂³	semidirect
459. #450	C₂³	semidirect
461. #449	C₂³	semidirect
462. #449	C₂³	semidirect
463. #449	C₂³	semidirect
464. #449	C₂³	semidirect
465. #449	C₂³	semidirect
466. #449	C₂³	semidirect
467. #449	C₂³	semidirect
468. #449	C₂³	semidirect
476. #447	C₂³	semidirect
477. #447	C₂³	semidirect
478. #447	C₂³	semidirect
479. #447	C₂³	semidirect
480. #447	C₂³	semidirect
481. #447	C₂³	semidirect
482. #447	C₂³	semidirect
483. #446	C₂³	semidirect
484. #446	C₂³	semidirect
485. C₈×Q₈	C₂³	semidirect
487. #442	C₂³	semidirect
488. #442	C₂³	semidirect
489. #442	C₂³	semidirect
490. #440	C₂³	semidirect
491. #440	C₂³	semidirect
492. C₄×SD₁₆	C₂³	semidirect
493. C₄×SD₁₆	C₂³	semidirect
494. C₄×SD₁₆	C₂³	semidirect
495. C₄×SD₁₆	C₂³	semidirect
496. C₄×SD₁₆	C₂³	semidirect
501. C₄×D₈	C₂³	semidirect
502. C₄×D₈	C₂³	semidirect
503. C₄×D₈	C₂³	semidirect
504. C₄×D₈	C₂³	semidirect
505. C₄×D₈	C₂³	semidirect
508. #436	C₂³	semidirect
509. #436	C₂³	semidirect
510. #436	C₂³	semidirect
513. #435	C₂³	semidirect
514. #435	C₂³	semidirect
518. C₈×D₄	C₂³	semidirect
519. C₈×D₄	C₂³	semidirect
520. #433	C₂³	semidirect
522. #431	C₂³	semidirect
523. #431	C₂³	semidirect
524. #428	C₂³	semidirect
525. #427	C₂³	semidirect
527. #424	C₂³	semidirect
529. C₂×C₄⋊C₈	C₂³	semidirect
530. #418	C₂³	semidirect
531. #418	C₂³	semidirect
532. #418	C₂³	semidirect
533. #417	C₂³	semidirect
534. #416	C₂³	semidirect
535. #416	C₂³	semidirect
538. C₂×#102	C₂³	semidirect
539. #408	C₂³	semidirect
540. #408	C₂³	semidirect
543. #405	C₂³	semidirect
544. C₄×M₁₆	C₂³	semidirect
1099. D₈	H(5,𝔽₂)	semidirect
1295. C₂×C₄	#576	semidirect

Maximal subgroups

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

subgroup	index
#62912	2
#62463	2
#62423	2
#62349	2
#62278	2
#62248	2
#62067	2
#62051	2
#61949	2
#61947	2
#61661	2
#61657	2
#61609	2
#61582	2
#61539	2
#61437	2
#61093	2
#61049	2
C₂×D₄×D₈	2
#60312	2