Subgroups — #7624196

Order 512.

1493 conjugacy classes of subgroups.

The subgroup lattice has 1344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62267	C₂	1	1	yes	maximal, characteristic, complemented
2	#61057	C₂	1	1	yes	maximal, characteristic, complemented
3	#33898	C₂	1	1	yes	maximal, characteristic, complemented
4	#33895	C₂	1	1	yes	maximal, characteristic, complemented
5	#33893	C₂	1	1	yes	maximal, characteristic, complemented
6	#33890	C₂	1	1	yes	maximal, characteristic, complemented
7	#33883	C₂	1	1	yes	maximal, characteristic, complemented
8	#33879	C₂	1	1	yes	maximal, characteristic, complemented
9	#33878	C₂	1	1	yes	maximal, characteristic, complemented
10	#33874	C₂	1	1	yes	maximal, characteristic, complemented
11	#33843	C₂	1	1	yes	maximal, characteristic, complemented
12	#33842	C₂	1	1	yes	maximal, characteristic, complemented
13	#33842	C₂	1	1	yes	maximal, characteristic, complemented
14	#33841	C₂	1	1	yes	maximal, characteristic, complemented
15	#33836	C₂	1	1	yes	maximal, characteristic, complemented
16	#33836	C₂	1	1	yes	maximal, characteristic, complemented
17	#33835	C₂	1	1	yes	maximal, characteristic, complemented
18	#33833	C₂	1	1	yes	maximal, characteristic, complemented
19	#33791	C₂	1	1	yes	maximal, characteristic, complemented
20	#33789	C₂	1	1	yes	maximal, characteristic, complemented
21	#33770	C₂	1	1	yes	maximal, characteristic, complemented
22	#33767	C₂	1	1	yes	maximal, characteristic, complemented
23	#33762	C₂	1	1	yes	maximal, characteristic, complemented
24	#33761	C₂	1	1	yes	maximal, characteristic, complemented
25	#33685	C₂	1	1	yes	maximal, characteristic, complemented
26	#33680	C₂	1	1	yes	maximal, characteristic, complemented
27	#33527	C₂	1	1	yes	maximal, characteristic, complemented
28	#33525	C₂	1	1	yes	maximal, characteristic, complemented
29	#33521	C₂	1	1	yes	maximal, characteristic, complemented
30	#33519	C₂	1	1	yes	maximal, characteristic, complemented
31	#33492	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#578	C₂²	1	1	yes	characteristic
33	C₂²×#135	C₂²	1	1	yes	characteristic
34	#3541	—	2	1	no	—
35	#3489	—	2	1	no	—
36	C₂×#510	C₂²	1	1	yes	characteristic
37	C₂×#510	C₂²	1	1	yes	characteristic
38	C₂×#510	C₂²	1	1	yes	characteristic
39	C₂×#510	C₂²	1	1	yes	characteristic, complemented
40	C₂×#510	C₂²	1	1	yes	characteristic, complemented
41	C₂×#509	C₂²	1	1	yes	characteristic
42	C₂×#508	C₂²	1	1	yes	characteristic, complemented
43	C₂²×Q₃₂	C₂²	1	1	yes	characteristic, complemented
44	#3342	C₂²	1	1	yes	characteristic
45	#3339	C₂²	1	1	yes	characteristic, complemented
46	#3338	C₂²	1	1	yes	characteristic, complemented
47	#3336	C₂²	1	1	yes	characteristic
48	#3320	—	2	1	no	—
49	#3316	—	2	1	no	—
50	#3315	—	2	1	no	—
51	#3313	—	2	1	no	—
52	D₄×Q₁₆	C₂²	1	1	yes	characteristic
53	D₄×Q₁₆	C₂²	1	1	yes	characteristic
54	D₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
55	#3285	C₂²	1	1	yes	characteristic
56	#3285	C₂²	1	1	yes	characteristic
57	#3285	C₂²	1	1	yes	characteristic
58	#3285	C₂²	1	1	yes	characteristic, complemented
59	#3283	C₂²	1	1	yes	characteristic
60	#3283	C₂²	1	1	yes	characteristic
61	#3283	C₂²	1	1	yes	characteristic
62	#3280	C₂²	1	1	yes	characteristic
63	#3280	C₂²	1	1	yes	characteristic
64	#3269	—	2	1	no	—
65	#3269	—	2	1	no	—
66	#3266	—	2	1	no	—
67	#3266	—	2	1	no	—
68	#3258	—	2	1	no	—
69	#3201	—	2	1	no	—
70	#3196	—	2	1	no	—
71	#3177	C₂²	1	1	yes	characteristic, complemented
72	#3175	C₂²	1	1	yes	characteristic, complemented
73	#3156	C₂²	1	1	yes	characteristic
74	#3061	C₂²	1	1	yes	characteristic
75	#3061	C₂²	1	1	yes	characteristic, complemented
76	#3059	C₂²	1	1	yes	characteristic, complemented
77	#3050	C₂²	1	1	yes	characteristic
78	C₂×#467	C₂²	1	1	yes	characteristic
79	C₂×#467	C₂²	1	1	yes	characteristic
80	#3046	—	2	1	no	—
81	#3013	—	2	1	no	—
82	#3007	—	2	1	no	—
83	#2951	C₂²	1	1	yes	characteristic
84	#2929	C₂²	1	1	yes	characteristic
85	#2251	C₂²	1	1	yes	characteristic, complemented
86	#2251	C₂²	1	1	yes	characteristic, complemented
87	#2249	C₂²	1	1	yes	characteristic, complemented
88	#2247	C₂²	1	1	yes	characteristic, complemented
89	#2245	C₂²	1	1	yes	characteristic, complemented
90	#2243	C₂²	1	1	yes	characteristic, complemented
91	#2242	C₂²	1	1	yes	characteristic, complemented
92	#2241	C₂²	1	1	yes	characteristic, complemented
93	#2237	C₂²	1	1	yes	characteristic
94	#2237	C₂²	1	1	yes	characteristic
95	#2237	C₂²	1	1	yes	characteristic, complemented
96	#2236	C₂²	1	1	yes	characteristic, complemented
97	#2235	C₂²	1	1	yes	characteristic, complemented
98	#2235	C₂²	1	1	yes	characteristic, complemented
99	#2235	C₂²	1	1	yes	characteristic, complemented
100	#2235	C₂²	1	1	yes	characteristic, complemented
101	#2235	C₂²	1	1	yes	characteristic, complemented
102	#2234	C₂²	1	1	yes	characteristic, complemented
103	#2233	C₂²	1	1	yes	characteristic, complemented
104	#2233	C₂²	1	1	yes	characteristic, complemented
105	#2229	C₂²	1	1	yes	characteristic, complemented
106	#2228	C₂²	1	1	yes	characteristic, complemented
107	#2226	C₂²	1	1	yes	characteristic, complemented
108	#2225	C₂²	1	1	yes	characteristic, complemented
109	#2220	C₂²	1	1	yes	characteristic, complemented
110	#2220	C₂²	1	1	yes	characteristic, complemented
111	#2220	C₂²	1	1	yes	characteristic, complemented
112	#2219	C₂²	1	1	yes	characteristic
113	#2219	C₂²	1	1	yes	characteristic
114	#2219	C₂²	1	1	yes	characteristic
115	#2219	C₂²	1	1	yes	characteristic
116	#2219	C₂²	1	1	yes	characteristic, complemented
117	#2219	C₂²	1	1	yes	characteristic, complemented
118	#2219	C₂²	1	1	yes	characteristic, complemented
119	#2219	C₂²	1	1	yes	characteristic, complemented
120	#2218	C₂²	1	1	yes	characteristic, complemented
121	#2217	C₂²	1	1	yes	characteristic, complemented
122	#2217	C₂²	1	1	yes	characteristic, complemented
123	#2217	C₂²	1	1	yes	characteristic, complemented
124	#2216	C₂²	1	1	yes	characteristic, complemented
125	#2211	C₂²	1	1	yes	characteristic, complemented
126	#2211	C₂²	1	1	yes	characteristic, complemented
127	#2211	C₂²	1	1	yes	characteristic, complemented
128	#2211	C₂²	1	1	yes	characteristic, complemented
129	#2210	C₂²	1	1	yes	characteristic, complemented
130	#2210	C₂²	1	1	yes	characteristic, complemented
131	#2209	C₂²	1	1	yes	characteristic, complemented
132	#2209	C₂²	1	1	yes	characteristic, complemented
133	#2209	C₂²	1	1	yes	characteristic, complemented
134	#2209	C₂²	1	1	yes	characteristic, complemented
135	#2208	C₂²	1	1	yes	characteristic, complemented
136	#2208	C₂²	1	1	yes	characteristic, complemented
137	#2189	C₂²	1	1	yes	characteristic
138	#2189	C₂²	1	1	yes	characteristic
139	#2189	C₂²	1	1	yes	characteristic
140	#2189	C₂²	1	1	yes	characteristic
141	#2189	C₂²	1	1	yes	characteristic
142	#2189	C₂²	1	1	yes	characteristic
143	#2189	C₂²	1	1	yes	characteristic
144	#2189	C₂²	1	1	yes	characteristic
145	#2189	C₂²	1	1	yes	characteristic
146	#2189	C₂²	1	1	yes	characteristic
147	#2189	C₂²	1	1	yes	characteristic, complemented
148	#2189	C₂²	1	1	yes	characteristic, complemented
149	#2189	C₂²	1	1	yes	characteristic, complemented
150	#2189	C₂²	1	1	yes	characteristic, complemented
151	#2188	C₂²	1	1	yes	characteristic
152	#2188	C₂²	1	1	yes	characteristic
153	#2188	C₂²	1	1	yes	characteristic, complemented
154	#2188	C₂²	1	1	yes	characteristic, complemented
155	#2188	C₂²	1	1	yes	characteristic, complemented
156	#2188	C₂²	1	1	yes	characteristic, complemented
157	#2188	C₂²	1	1	yes	characteristic, complemented
158	#2188	C₂²	1	1	yes	characteristic, complemented
159	#2188	C₂²	1	1	yes	characteristic, complemented
160	#2188	C₂²	1	1	yes	characteristic, complemented
161	#2188	C₂²	1	1	yes	characteristic, complemented
162	#2187	C₂²	1	1	yes	characteristic
163	#2187	C₂²	1	1	yes	characteristic
164	#2186	C₂²	1	1	yes	characteristic
165	#2186	C₂²	1	1	yes	characteristic
166	#2186	C₂²	1	1	yes	characteristic
167	#2186	C₂²	1	1	yes	characteristic
168	#2186	C₂²	1	1	yes	characteristic, complemented
169	#2186	C₂²	1	1	yes	characteristic, complemented
170	#2185	C₂²	1	1	yes	characteristic, complemented
171	#2185	C₂²	1	1	yes	characteristic, complemented
172	#2185	C₂²	1	1	yes	characteristic, complemented
173	#2177	C₂²	1	1	yes	characteristic, complemented
174	#2176	C₂²	1	1	yes	characteristic, complemented
175	#2176	C₂²	1	1	yes	characteristic, complemented
176	#2175	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₃₂	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₃₂	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₃₂	C₂²	1	1	yes	characteristic, complemented
180	C₄×SD₃₂	C₂²	1	1	yes	characteristic, complemented
181	#2169	C₂²	1	1	yes	characteristic
182	#2169	C₂²	1	1	yes	characteristic
183	#2169	C₂²	1	1	yes	characteristic, complemented
184	#2169	C₂²	1	1	yes	characteristic, complemented
185	#2168	C₂²	1	1	yes	characteristic
186	#2168	C₂²	1	1	yes	characteristic
187	#2168	C₂²	1	1	yes	characteristic, complemented
188	#2168	C₂²	1	1	yes	characteristic, complemented
189	#2164	C₂²	1	1	yes	characteristic, complemented
190	#2164	C₂²	1	1	yes	characteristic, complemented
191	#2141	C₂²	1	1	yes	characteristic
192	#2141	C₂²	1	1	yes	characteristic, complemented
193	#2140	C₂²	1	1	yes	characteristic
194	#2139	C₂²	1	1	yes	characteristic
195	#2139	C₂²	1	1	yes	characteristic
196	#2139	C₂²	1	1	yes	characteristic, complemented
197	#2138	C₂²	1	1	yes	characteristic, complemented
198	C₂×#358	C₂²	1	1	yes	characteristic, complemented
199	#2113	C₂²	1	1	yes	characteristic, complemented
200	#2113	C₂²	1	1	yes	characteristic, complemented
201	#2112	C₂²	1	1	yes	characteristic
202	#2112	C₂²	1	1	yes	characteristic
203	C₂×2₋¹⁺⁴	—	2	1	no	—
204	C₂²×#41	—	2	1	no	—
205	#578	—	4	2	no	—
206	#578	—	4	2	no	—
207	C₂×#137	—	2	1	no	—
208	C₂×#137	—	2	1	no	—
209	C₂×#137	—	2	1	no	—
210	C₂×#137	—	2	1	no	—
211	C₂×#135	—	2	1	no	—
212	C₂×#135	—	2	1	no	—
213	C₂×#135	—	4	2	no	—
214	C₂×#135	—	4	2	no	—
215	C₂×#135	C₂³	1	1	yes	characteristic
216	C₂×#135	C₂³	1	1	yes	characteristic
217	C₂×#135	C₂³	1	1	yes	characteristic
218	C₂×#135	C₂³	1	1	yes	characteristic
219	C₂×#135	C₂³	1	1	yes	characteristic
220	C₂×#135	C₂³	1	1	yes	characteristic
221	C₂×#135	C₂³	1	1	yes	characteristic
222	C₂×#135	C₂³	1	1	yes	characteristic
223	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
224	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
225	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
227	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
228	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
229	C₂²×SD₁₆	—	2	1	no	—
230	C₂²×D₈	C₂³	1	1	yes	characteristic
231	C₂×#131	C₂³	1	1	yes	characteristic
232	C₂³×C₈	C₂³	1	1	yes	characteristic
233	#563	—	4	1	no	—
234	#562	—	4	1	no	—
235	#556	—	2	1	no	—
236	#554	—	2	1	no	—
237	#554	—	4	1	no	—
238	#553	—	2	1	no	—
239	#553	—	4	1	no	—
240	#552	—	2	1	no	—
241	D₄×Q₈	—	2	1	no	—
242	D₄×Q₈	—	2	1	no	—
243	D₄×Q₈	—	2	1	no	—
244	#548	—	2	1	no	—
245	#548	—	2	1	no	—
246	#548	—	2	1	no	—
247	#548	—	2	1	no	—
248	#547	—	2	1	no	—
249	#547	—	2	1	no	—
250	#547	—	2	1	no	—
251	#547	—	4	1	no	—
252	#547	—	4	1	no	—
253	#546	—	2	1	no	—
254	#546	—	2	1	no	—
255	#546	—	4	1	no	—
256	#546	—	4	1	no	—
257	#542	—	2	1	no	—
258	#542	—	4	1	no	—
259	#541	—	2	1	no	—
260	#539	—	4	1	no	—
261	#538	—	4	1	no	—
262	#538	—	4	1	no	—
263	#537	—	2	1	no	—
264	#537	—	2	1	no	—
265	#537	—	4	1	no	—
266	#536	—	2	1	no	—
267	#536	—	2	1	no	—
268	#536	—	4	1	no	—
269	#525	—	2	1	no	—
270	#525	—	4	1	no	—
271	#525	D₄	1	1	yes	characteristic
272	C₂×C₂²⋊Q₈	—	2	1	no	—
273	C₂×C₂²⋊Q₈	—	2	1	no	—
274	C₂×C₂²⋊Q₈	—	4	1	no	—
275	#520	—	2	1	no	—
276	#510	—	4	2	no	—
277	#510	—	4	2	no	—
278	#510	—	4	2	no	—
279	#510	—	4	2	no	—
280	#510	—	4	2	no	—
281	#509	—	4	2	no	—
282	#508	—	4	2	no	—
283	C₂×Q₃₂	—	4	2	no	—
284	C₂×Q₃₂	C₂³	1	1	yes	characteristic
285	C₂×Q₃₂	C₂³	1	1	yes	characteristic
286	C₂×Q₃₂	C₂³	1	1	yes	characteristic
287	C₂×Q₃₂	C₂³	1	1	yes	characteristic
288	C₂×Q₃₂	C₂³	1	1	yes	characteristic
289	C₂×Q₃₂	C₂³	1	1	yes	characteristic
290	C₂×Q₃₂	C₂³	1	1	yes	characteristic
291	C₂×Q₃₂	C₂³	1	1	yes	characteristic
292	C₂×Q₃₂	C₂³	1	1	yes	characteristic
293	C₂×Q₃₂	C₂³	1	1	yes	characteristic
294	C₂×Q₃₂	C₂³	1	1	yes	characteristic
295	C₂×Q₃₂	C₂³	1	1	yes	characteristic
296	C₂×SD₃₂	C₂³	1	1	yes	characteristic
297	C₂×SD₃₂	C₂³	1	1	yes	characteristic
298	C₂×SD₃₂	C₂³	1	1	yes	characteristic
299	C₂×SD₃₂	C₂³	1	1	yes	characteristic
300	C₂×SD₃₂	C₂³	1	1	yes	characteristic
301	C₂×SD₃₂	C₂³	1	1	yes	characteristic
302	C₂×SD₃₂	C₂³	1	1	yes	characteristic
303	C₂×SD₃₂	C₂³	1	1	yes	characteristic
304	C₂×SD₃₂	C₂³	1	1	yes	characteristic
305	C₂×SD₃₂	C₂³	1	1	yes	characteristic
306	C₂×D₁₆	C₂³	1	1	yes	characteristic
307	C₂×D₁₆	C₂³	1	1	yes	characteristic
308	C₂×M₃₂	C₂³	1	1	yes	characteristic
309	C₂×M₃₂	C₂³	1	1	yes	characteristic
310	C₂×M₃₂	C₂³	1	1	yes	characteristic
311	C₂×M₃₂	C₂³	1	1	yes	characteristic
312	C₂×M₃₂	C₂³	1	1	yes	characteristic
313	C₂×M₃₂	C₂³	1	1	yes	characteristic
314	C₂²×C₁₆	C₂³	1	1	yes	characteristic
315	C₂²×C₁₆	C₂³	1	1	yes	characteristic
316	#500	C₂³	1	1	yes	characteristic
317	#499	C₂³	1	1	yes	characteristic
318	#497	—	2	1	no	—
319	#497	—	2	1	no	—
320	#495	C₂³	1	1	yes	characteristic
321	#495	C₂³	1	1	yes	characteristic
322	#495	C₂³	1	1	yes	characteristic
323	#494	C₂³	1	1	yes	characteristic
324	#494	C₂³	1	1	yes	characteristic
325	#494	C₂³	1	1	yes	characteristic
326	#491	—	2	1	no	—
327	#489	—	2	1	no	—
328	#485	—	2	1	no	—
329	#485	—	2	1	no	—
330	#485	—	2	1	no	—
331	#484	—	2	1	no	—
332	#484	—	2	1	no	—
333	#483	—	2	1	no	—
334	#482	—	2	1	no	—
335	#481	—	2	1	no	—
336	#479	—	2	1	no	—
337	#478	—	2	1	no	—
338	#477	—	2	1	no	—
339	#475	—	2	1	no	—
340	#470	—	2	1	no	—
341	#470	—	2	1	no	—
342	#470	—	2	1	no	—
343	#468	—	2	1	no	—
344	#468	—	2	1	no	—
345	#468	—	2	1	no	—
346	#468	—	2	1	no	—
347	#468	—	2	1	no	—
348	#467	—	2	1	no	—
349	#467	—	2	1	no	—
350	#467	—	2	1	no	—
351	#467	—	2	1	no	—
352	#467	C₂³	1	1	yes	characteristic
353	#467	C₂³	1	1	yes	characteristic
354	#467	C₂³	1	1	yes	characteristic
355	#467	C₂³	1	1	yes	characteristic
356	#467	C₂³	1	1	yes	characteristic
357	#467	C₂³	1	1	yes	characteristic
358	#467	C₂³	1	1	yes	characteristic
359	#467	C₂³	1	1	yes	characteristic
360	#467	C₂³	1	1	yes	characteristic
361	#467	C₂³	1	1	yes	characteristic
362	#467	C₂³	1	1	yes	characteristic
363	#467	C₂³	1	1	yes	characteristic
364	#467	C₂³	1	1	yes	characteristic
365	#467	C₂³	1	1	yes	characteristic
366	#467	C₂³	1	1	yes	characteristic
367	#466	C₂³	1	1	yes	characteristic
368	#466	C₂³	1	1	yes	characteristic
369	#466	C₂³	1	1	yes	characteristic
370	#466	C₂³	1	1	yes	characteristic
371	#466	C₂³	1	1	yes	characteristic
372	#465	—	2	1	no	—
373	#465	—	2	1	no	—
374	#464	—	2	1	no	—
375	#464	—	2	1	no	—
376	#464	—	2	1	no	—
377	#464	—	2	1	no	—
378	#463	—	2	1	no	—
379	#463	—	2	1	no	—
380	#462	—	2	1	no	—
381	#462	—	2	1	no	—
382	#462	—	2	1	no	—
383	#461	—	2	1	no	—
384	#461	—	2	1	no	—
385	#461	—	2	1	no	—
386	#452	—	2	1	no	—
387	#452	—	2	1	no	—
388	#452	—	2	1	no	—
389	#452	—	2	1	no	—
390	#452	—	2	1	no	—
391	#452	—	2	1	no	—
392	#452	—	2	1	no	—
393	#452	—	2	1	no	—
394	#452	—	2	1	no	—
395	#452	—	2	1	no	—
396	#451	—	2	1	no	—
397	#451	—	2	1	no	—
398	#451	—	2	1	no	—
399	#451	—	2	1	no	—
400	#451	—	2	1	no	—
401	#451	—	2	1	no	—
402	#450	—	2	1	no	—
403	#450	—	2	1	no	—
404	#449	—	2	1	no	—
405	#449	—	2	1	no	—
406	#448	—	2	1	no	—
407	#448	—	2	1	no	—
408	#448	—	2	1	no	—
409	#448	—	2	1	no	—
410	#441	—	2	1	no	—
411	#440	—	2	1	no	—
412	#440	—	2	1	no	—
413	#440	—	2	1	no	—
414	C₄×Q₁₆	C₂³	1	1	yes	characteristic
415	C₄×Q₁₆	C₂³	1	1	yes	characteristic
416	C₄×Q₁₆	C₂³	1	1	yes	characteristic
417	C₄×Q₁₆	C₂³	1	1	yes	characteristic
418	C₄×Q₁₆	C₂³	1	1	yes	characteristic
419	C₄×D₈	C₂³	1	1	yes	characteristic
420	C₄×D₈	C₂³	1	1	yes	characteristic
421	C₄×D₈	C₂³	1	1	yes	characteristic
422	#435	D₄	1	1	yes	characteristic
423	#435	D₄	1	1	yes	characteristic
424	#435	D₄	1	1	yes	characteristic
425	#435	D₄	1	1	yes	characteristic
426	C₈×D₄	C₂³	1	1	yes	characteristic
427	C₈×D₄	C₂³	1	1	yes	characteristic
428	C₈×D₄	C₂³	1	1	yes	characteristic
429	C₈×D₄	C₂³	1	1	yes	characteristic
430	#427	C₂³	1	1	yes	characteristic
431	#427	C₂³	1	1	yes	characteristic
432	C₂×#107	C₂³	1	1	yes	characteristic
433	C₂×#107	C₂³	1	1	yes	characteristic
434	C₂×#107	C₂³	1	1	yes	characteristic
435	#424	D₄	1	1	yes	characteristic
436	#419	—	2	1	no	—
437	#417	—	2	1	no	—
438	#417	—	2	1	no	—
439	#417	—	2	1	no	—
440	#416	—	2	1	no	—
441	C₂×#103	—	2	1	no	—
442	C₂×#103	—	2	1	no	—
443	#408	D₄	1	1	yes	characteristic
444	#407	D₄	1	1	yes	characteristic
445	#405	C₂³	1	1	yes	characteristic
446	#367	C₂³	1	1	yes	characteristic
447	#367	C₂³	1	1	yes	characteristic
448	#367	C₂³	1	1	yes	characteristic
449	#367	C₂³	1	1	yes	characteristic
450	#367	C₂³	1	1	yes	characteristic
451	#367	C₂³	1	1	yes	characteristic
452	#366	C₂³	1	1	yes	characteristic
453	#366	C₂³	1	1	yes	characteristic
454	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
455	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
456	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
457	C₄⋊C₁₆	C₂³	1	1	yes	characteristic
458	#358	C₂³	1	1	yes	characteristic
459	#358	C₂³	1	1	yes	characteristic
460	#358	C₂³	1	1	yes	characteristic
461	#358	C₂³	1	1	yes	characteristic
462	#358	C₂³	1	1	yes	characteristic
463	#358	C₂³	1	1	yes	characteristic
464	#358	C₂³	1	1	yes	characteristic
465	#358	C₂³	1	1	yes	characteristic
466	#358	C₂³	1	1	yes	characteristic
467	#358	C₂³	1	1	yes	characteristic
468	#358	C₂³	1	1	yes	characteristic
469	#358	C₂³	1	1	yes	characteristic
470	#358	C₂³	1	1	yes	characteristic
471	#358	C₂³	1	1	yes	characteristic
472	#358	C₂³	1	1	yes	characteristic
473	#358	C₂³	1	1	yes	characteristic
474	#358	C₂³	1	1	yes	characteristic
475	#358	C₂³	1	1	yes	characteristic
476	#358	C₂³	1	1	yes	characteristic
477	#358	C₂³	1	1	yes	characteristic
478	#358	C₂³	1	1	yes	characteristic
479	#358	C₂³	1	1	yes	characteristic
480	#357	C₂³	1	1	yes	characteristic
481	#357	C₂³	1	1	yes	characteristic
482	#357	C₂³	1	1	yes	characteristic
483	#357	C₂³	1	1	yes	characteristic
484	#357	C₂³	1	1	yes	characteristic
485	#357	C₂³	1	1	yes	characteristic
486	#357	C₂³	1	1	yes	characteristic
487	#357	C₂³	1	1	yes	characteristic
488	#357	C₂³	1	1	yes	characteristic
489	#357	C₂³	1	1	yes	characteristic
490	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
491	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
492	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
493	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
494	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
495	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
496	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
497	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
498	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
499	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
500	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
501	C₂²⋊C₁₆	C₂³	1	1	yes	characteristic
502	#346	C₂³	1	1	yes	characteristic
503	#346	C₂³	1	1	yes	characteristic
504	C₄×C₁₆	C₂³	1	1	yes	characteristic
505	C₄×C₁₆	C₂³	1	1	yes	characteristic
506	2₋¹⁺⁴	—	4	4	no	—
507	2₋¹⁺⁴	—	8	2	no	—
508	C₂×#41	—	2	1	no	—
509	C₂×#41	—	2	1	no	—
510	C₂×#41	—	2	1	no	—
511	C₂×#41	—	2	1	no	—
512	C₂×#41	—	2	1	no	—
513	C₂×#41	—	2	1	no	—
514	C₂×#41	—	2	1	no	—
515	C₂×#41	—	2	1	no	—
516	C₂×#41	—	4	1	no	—
517	C₂×#41	—	4	1	no	—
518	C₂×#41	—	4	1	no	—
519	C₂×#41	—	4	1	no	—
520	C₂×#41	—	4	1	no	—
521	C₂×#41	—	4	4	no	—
522	C₂×#41	—	8	2	no	—
523	C₂×#41	C₂×D₄	1	1	yes	characteristic
524	C₂²×Q₈	—	2	1	no	—
525	C₂²×Q₈	—	2	1	no	—
526	C₂²×Q₈	—	2	1	no	—
527	C₂²×Q₈	—	2	1	no	—
528	C₂²×Q₈	—	2	1	no	—
529	C₂²×Q₈	—	2	1	no	—
530	C₂²×Q₈	—	4	1	no	—
531	C₂²×D₄	—	2	1	no	—
532	C₂²×D₄	—	4	1	no	—
533	C₂³×C₄	—	4	1	no	—
534	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
535	#137	—	4	4	no	—
536	#137	—	4	4	no	—
537	#137	—	4	4	no	—
538	#137	—	8	2	no	—
539	#135	—	2	2	no	—
540	#135	—	2	2	no	—
541	#135	—	2	2	no	—
542	#135	—	2	2	no	—
543	#135	—	2	2	no	—
544	#135	—	2	2	no	—
545	#135	—	4	1	no	—
546	#135	—	4	1	no	—
547	#135	—	4	1	no	—
548	#135	—	4	1	no	—
549	#135	—	4	1	no	—
550	#135	—	4	1	no	—
551	#135	—	4	1	no	—
552	#135	—	4	1	no	—
553	#135	—	4	1	no	—
554	#135	—	4	1	no	—
555	#135	—	4	4	no	—
556	#135	—	4	4	no	—
557	C₂×Q₁₆	—	2	2	no	—
558	C₂×Q₁₆	—	2	2	no	—
559	C₂×Q₁₆	—	2	2	no	—
560	C₂×Q₁₆	—	2	1	no	—
561	C₂×Q₁₆	—	2	1	no	—
562	C₂×Q₁₆	—	2	1	no	—
563	C₂×Q₁₆	—	2	1	no	—
564	C₂×Q₁₆	—	2	1	no	—
565	C₂×Q₁₆	—	2	1	no	—
566	C₂×Q₁₆	—	2	1	no	—
567	C₂×Q₁₆	—	2	1	no	—
568	C₂×Q₁₆	—	2	1	no	—
569	C₂×Q₁₆	—	4	1	no	—
570	C₂×Q₁₆	—	4	1	no	—
571	C₂×Q₁₆	—	4	1	no	—
572	C₂×Q₁₆	—	4	1	no	—
573	C₂×Q₁₆	—	4	1	no	—
574	C₂×Q₁₆	—	4	1	no	—
575	C₂×Q₁₆	—	4	1	no	—
576	C₂×Q₁₆	—	4	1	no	—
577	C₂×Q₁₆	—	4	1	no	—
578	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
579	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
580	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
581	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
582	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
583	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
584	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
585	C₂×SD₁₆	—	2	1	no	—
586	C₂×SD₁₆	—	2	1	no	—
587	C₂×SD₁₆	—	2	1	no	—
588	C₂×SD₁₆	—	2	1	no	—
589	C₂×SD₁₆	—	2	1	no	—
590	C₂×SD₁₆	—	2	1	no	—
591	C₂×SD₁₆	—	2	1	no	—
592	C₂×SD₁₆	—	2	1	no	—
593	C₂×SD₁₆	—	2	1	no	—
594	C₂×SD₁₆	—	2	1	no	—
595	C₂×SD₁₆	—	2	1	no	—
596	C₂×SD₁₆	—	4	4	no	—
597	C₂×D₈	—	2	2	no	—
598	C₂×D₈	—	2	1	no	—
599	C₂×D₈	—	4	1	no	—
600	C₂×D₈	C₂⁴	1	1	yes	characteristic
601	C₂×D₈	C₂⁴	1	1	yes	characteristic
602	C₂×D₈	C₂⁴	1	1	yes	characteristic
603	#131	—	4	1	no	—
604	#131	—	4	1	no	—
605	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
606	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
607	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
608	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
609	C₂²×C₈	—	4	1	no	—
610	C₂²×C₈	—	4	1	no	—
611	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
612	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
613	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
614	C₂²×C₈	C₂⁴	1	1	yes	characteristic
615	C₂²×C₈	C₂⁴	1	1	yes	characteristic
616	C₂²×C₈	C₂⁴	1	1	yes	characteristic
617	C₂²×C₈	C₂⁴	1	1	yes	characteristic
618	C₂²×C₈	C₂⁴	1	1	yes	characteristic
619	C₄⋊Q₈	—	2	1	no	—
620	C₄⋊Q₈	—	2	1	no	—
621	C₄⋊Q₈	—	2	1	no	—
622	C₄⋊Q₈	—	2	1	no	—
623	C₄⋊Q₈	—	4	1	no	—
624	C₄⋊Q₈	—	4	1	no	—
625	C₄⋊Q₈	—	4	1	no	—
626	C₄⋊Q₈	—	4	1	no	—
627	#126	—	4	1	no	—
628	#126	—	4	1	no	—
629	#126	—	4	1	no	—
630	#126	—	4	1	no	—
631	#126	—	4	1	no	—
632	#126	—	4	1	no	—
633	#126	—	4	1	no	—
634	#125	—	2	1	no	—
635	#125	—	4	1	no	—
636	#125	—	4	1	no	—
637	#125	—	4	1	no	—
638	#125	—	4	1	no	—
639	#124	—	2	1	no	—
640	#124	—	2	1	no	—
641	#124	—	2	1	no	—
642	#124	—	4	1	no	—
643	#124	—	4	1	no	—
644	#124	—	4	1	no	—
645	#124	—	4	1	no	—
646	#124	—	4	1	no	—
647	#124	—	4	1	no	—
648	#124	—	4	1	no	—
649	#123	—	4	1	no	—
650	#123	—	4	1	no	—
651	#123	—	4	1	no	—
652	#123	—	4	1	no	—
653	#123	—	4	1	no	—
654	#123	—	4	1	no	—
655	#123	—	4	1	no	—
656	#123	—	4	1	no	—
657	#123	—	4	1	no	—
658	#123	—	4	1	no	—
659	#123	—	4	1	no	—
660	#123	—	4	1	no	—
661	#123	—	4	1	no	—
662	#123	—	4	1	no	—
663	#123	—	4	1	no	—
664	#123	—	4	1	no	—
665	#123	D₈	1	1	yes	characteristic
666	#123	D₈	1	1	yes	characteristic
667	C₂²⋊Q₈	—	2	1	no	—
668	C₂²⋊Q₈	—	2	1	no	—
669	C₂²⋊Q₈	—	2	1	no	—
670	C₂²⋊Q₈	—	2	1	no	—
671	C₂²⋊Q₈	—	2	1	no	—
672	C₂²⋊Q₈	—	2	1	no	—
673	C₂²⋊Q₈	—	2	1	no	—
674	C₂²⋊Q₈	—	2	1	no	—
675	C₂²⋊Q₈	—	2	1	no	—
676	C₂²⋊Q₈	—	2	1	no	—
677	C₂²⋊Q₈	—	2	1	no	—
678	C₂²⋊Q₈	—	2	1	no	—
679	C₂²⋊Q₈	—	2	1	no	—
680	C₂²⋊Q₈	—	2	1	no	—
681	C₂²⋊Q₈	—	2	1	no	—
682	C₂²⋊Q₈	—	4	1	no	—
683	C₂²⋊Q₈	—	4	1	no	—
684	C₂²⋊Q₈	—	4	1	no	—
685	C₂²⋊Q₈	—	4	1	no	—
686	C₂²⋊Q₈	—	4	1	no	—
687	C₂²⋊Q₈	—	4	1	no	—
688	C₂²⋊Q₈	—	4	1	no	—
689	C₂²⋊Q₈	—	4	1	no	—
690	C₂²⋊Q₈	—	4	1	no	—
691	C₂²⋊Q₈	—	4	1	no	—
692	C₂²⋊Q₈	—	4	1	no	—
693	C₂²⋊Q₈	—	4	1	no	—
694	C₂²⋊Q₈	—	4	1	no	—
695	C₂²⋊Q₈	—	4	1	no	—
696	C₂²⋊Q₈	—	4	1	no	—
697	C₂²⋊Q₈	—	4	1	no	—
698	C₂²⋊Q₈	—	4	1	no	—
699	C₂²⋊Q₈	—	4	1	no	—
700	C₂²⋊Q₈	—	4	1	no	—
701	C₂²⋊Q₈	—	4	1	no	—
702	C₂²⋊Q₈	—	4	1	no	—
703	C₂²⋊Q₈	D₈	1	1	yes	characteristic
704	C₂²⋊Q₈	D₈	1	1	yes	characteristic
705	#121	—	2	1	no	—
706	#121	—	2	1	no	—
707	#121	—	2	1	no	—
708	#121	—	2	1	no	—
709	#121	—	2	1	no	—
710	#121	—	4	1	no	—
711	#121	—	4	1	no	—
712	#121	—	4	1	no	—
713	#121	—	4	1	no	—
714	#121	—	4	1	no	—
715	#121	—	4	1	no	—
716	#121	—	4	1	no	—
717	#121	—	4	1	no	—
718	#121	—	4	1	no	—
719	#121	—	4	1	no	—
720	#121	—	4	1	no	—
721	#121	—	4	1	no	—
722	#121	—	4	1	no	—
723	#121	—	4	1	no	—
724	#121	—	4	1	no	—
725	#121	—	4	1	no	—
726	#121	D₈	1	1	yes	characteristic
727	#121	D₈	1	1	yes	characteristic
728	#120	—	4	1	no	—
729	#120	—	4	1	no	—
730	#120	—	4	1	no	—
731	#120	D₈	1	1	yes	characteristic
732	#120	D₈	1	1	yes	characteristic
733	C₄×Q₈	—	2	1	no	—
734	C₄×Q₈	—	2	1	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	—	2	1	no	—
737	C₄×Q₈	—	2	1	no	—
738	C₄×Q₈	—	4	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	—	2	1	no	—
741	C₄×D₄	—	2	1	no	—
742	C₄×D₄	—	4	1	no	—
743	C₄×D₄	—	4	1	no	—
744	C₄×D₄	—	4	1	no	—
745	C₄×D₄	—	4	1	no	—
746	C₄×D₄	—	4	1	no	—
747	C₄×D₄	—	4	1	no	—
748	C₄×D₄	—	4	1	no	—
749	C₄×D₄	—	4	1	no	—
750	C₄×D₄	—	4	1	no	—
751	C₄×D₄	—	4	1	no	—
752	C₄×D₄	—	4	1	no	—
753	C₄×D₄	—	4	1	no	—
754	C₄×D₄	—	4	1	no	—
755	C₄×D₄	C₂×D₄	1	1	yes	characteristic
756	C₄×D₄	C₂×D₄	1	1	yes	characteristic
757	C₄×D₄	C₂×D₄	1	1	yes	characteristic
758	C₄×D₄	C₂×D₄	1	1	yes	characteristic
759	#117	—	2	1	no	—
760	#117	—	2	1	no	—
761	#117	—	4	1	no	—
762	#117	—	4	1	no	—
763	#117	C₂×D₄	1	1	yes	characteristic
764	C₂×C₄⋊C₄	—	2	1	no	—
765	C₂×C₄⋊C₄	—	2	1	no	—
766	C₂×C₄⋊C₄	—	2	1	no	—
767	C₂×C₄⋊C₄	—	4	1	no	—
768	C₂×C₄⋊C₄	—	4	1	no	—
769	C₂×C₄⋊C₄	—	4	1	no	—
770	C₂×C₄⋊C₄	—	4	1	no	—
771	C₂×C₄⋊C₄	—	4	1	no	—
772	C₂×C₄⋊C₄	—	4	1	no	—
773	C₂×C₂²⋊C₄	—	4	1	no	—
774	C₂×C₂²⋊C₄	—	4	1	no	—
775	C₂×C₂²⋊C₄	—	4	1	no	—
776	C₂×C₂²⋊C₄	—	4	1	no	—
777	Q₃₂	—	2	2	no	—
778	Q₃₂	—	2	2	no	—
779	Q₃₂	—	2	2	no	—
780	Q₃₂	—	4	1	no	—
781	Q₃₂	—	4	1	no	—
782	Q₃₂	—	4	1	no	—
783	Q₃₂	—	4	1	no	—
784	Q₃₂	—	4	1	no	—
785	Q₃₂	—	4	1	no	—
786	Q₃₂	—	4	1	no	—
787	Q₃₂	—	4	1	no	—
788	Q₃₂	—	4	1	no	—
789	SD₃₂	—	2	2	no	—
790	SD₃₂	—	2	2	no	—
791	SD₃₂	—	2	2	no	—
792	SD₃₂	—	2	2	no	—
793	SD₃₂	—	4	1	no	—
794	SD₃₂	—	4	1	no	—
795	SD₃₂	—	4	1	no	—
796	SD₃₂	—	4	1	no	—
797	SD₃₂	—	4	1	no	—
798	SD₃₂	—	4	1	no	—
799	D₁₆	—	2	2	no	—
800	D₁₆	—	4	1	no	—
801	M₃₂	—	4	1	no	—
802	M₃₂	—	4	1	no	—
803	M₃₂	—	4	1	no	—
804	M₃₂	—	4	1	no	—
805	M₃₂	—	4	1	no	—
806	M₃₂	—	4	1	no	—
807	C₂×C₁₆	—	4	1	no	—
808	C₂×C₁₆	—	4	1	no	—
809	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
810	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
811	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
812	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
813	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
814	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
815	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
816	C₂×C₁₆	C₂⁴	1	1	yes	characteristic
817	#107	—	2	1	no	—
818	#107	—	2	1	no	—
819	#107	—	2	1	no	—
820	#107	—	2	1	no	—
821	#107	C₂⁴	1	1	yes	characteristic
822	#107	C₂⁴	1	1	yes	characteristic
823	#107	C₂⁴	1	1	yes	characteristic
824	#107	C₂⁴	1	1	yes	characteristic
825	#107	C₂⁴	1	1	yes	characteristic
826	#107	C₂⁴	1	1	yes	characteristic
827	#106	—	2	1	no	—
828	#106	—	2	1	no	—
829	#106	—	2	1	no	—
830	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
831	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
832	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
833	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
834	#103	—	2	1	no	—
835	#103	—	2	1	no	—
836	#103	—	2	1	no	—
837	#103	—	2	1	no	—
838	#103	—	2	1	no	—
839	#103	—	2	1	no	—
840	#103	—	2	1	no	—
841	#103	—	2	1	no	—
842	#103	—	2	1	no	—
843	#103	—	2	1	no	—
844	#103	—	2	1	no	—
845	#103	—	2	1	no	—
846	#103	—	2	1	no	—
847	#103	—	2	1	no	—
848	#103	—	2	1	no	—
849	#103	—	2	1	no	—
850	#103	—	2	1	no	—
851	#103	—	2	1	no	—
852	#103	—	2	1	no	—
853	#103	—	2	1	no	—
854	#102	—	2	1	no	—
855	#102	—	2	1	no	—
856	#102	—	2	1	no	—
857	#102	—	2	1	no	—
858	#102	—	2	1	no	—
859	#102	—	2	1	no	—
860	#102	—	2	1	no	—
861	#102	—	2	1	no	—
862	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
863	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
864	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
865	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
866	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
867	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
868	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
869	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
870	#97	C₂×D₄	1	1	yes	characteristic
871	#97	C₂×D₄	1	1	yes	characteristic
872	C₄×C₈	C₂⁴	1	1	yes	characteristic
873	C₄×C₈	C₂⁴	1	1	yes	characteristic
874	C₂⁴	—	4	1	no	—
875	C₂⁴	C₂×D₈	1	1	yes	characteristic
876	#41	—	2	4	no	—
877	#41	—	4	1	no	—
878	#41	—	4	1	no	—
879	#41	—	4	2	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	4	2	no	—
883	#41	—	4	2	no	—
884	#41	—	4	2	no	—
885	#41	—	4	2	no	—
886	#41	—	8	1	no	—
887	#41	—	8	1	no	—
888	#41	—	8	1	no	—
889	#41	—	8	1	no	—
890	#41	—	8	1	no	—
891	#41	—	8	1	no	—
892	#41	—	8	1	no	—
893	#41	—	8	1	no	—
894	#41	—	8	4	no	—
895	#41	—	8	4	no	—
896	#41	—	8	4	no	—
897	#41	—	8	4	no	—
898	#41	—	8	4	no	—
899	C₂×Q₈	—	2	1	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	1	no	—
903	C₂×Q₈	—	2	1	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	4	2	no	—
907	C₂×Q₈	—	4	2	no	—
908	C₂×Q₈	—	4	2	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	—	4	1	no	—
912	C₂×Q₈	—	4	1	no	—
913	C₂×Q₈	—	4	1	no	—
914	C₂×Q₈	—	4	1	no	—
915	C₂×Q₈	—	4	1	no	—
916	C₂×Q₈	—	4	1	no	—
917	C₂×Q₈	—	4	1	no	—
918	C₂×Q₈	—	8	1	no	—
919	C₂×Q₈	—	8	1	no	—
920	C₂×Q₈	—	8	1	no	—
921	C₂×Q₈	—	8	1	no	—
922	C₂×Q₈	—	8	1	no	—
923	C₂×Q₈	—	8	1	no	—
924	C₂×Q₈	—	8	1	no	—
925	C₂×Q₈	—	8	4	no	—
926	C₂×Q₈	C₂×D₈	1	1	yes	characteristic
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	4	2	no	—
931	C₂×D₄	—	4	1	no	—
932	C₂×D₄	—	4	1	no	—
933	C₂×D₄	—	4	1	no	—
934	C₂×D₄	—	4	1	no	—
935	C₂×D₄	—	4	1	no	—
936	C₂×D₄	—	4	1	no	—
937	C₂×D₄	—	4	1	no	—
938	C₂×D₄	—	4	1	no	—
939	C₂×D₄	—	4	1	no	—
940	C₂×D₄	—	4	1	no	—
941	C₂×D₄	—	4	1	no	—
942	C₂×D₄	—	4	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	1	no	—
945	C₂×D₄	—	8	1	no	—
946	C₂×D₄	—	8	4	no	—
947	C₂×D₄	C₂×D₈	1	1	yes	characteristic
948	C₂×D₄	C₂×D₈	1	1	yes	characteristic
949	C₂×D₄	C₂×D₈	1	1	yes	characteristic
950	C₂×D₄	C₂×D₈	1	1	yes	characteristic
951	C₂×D₄	C₂×D₈	1	1	yes	characteristic
952	C₂×D₄	C₂×D₈	1	1	yes	characteristic
953	C₂×D₄	C₂×D₈	1	1	yes	characteristic
954	C₂²×C₄	—	4	1	no	—
955	C₂²×C₄	—	4	1	no	—
956	C₂²×C₄	—	4	1	no	—
957	C₂²×C₄	—	4	1	no	—
958	C₂²×C₄	—	4	1	no	—
959	C₂²×C₄	—	4	1	no	—
960	C₂²×C₄	—	4	1	no	—
961	C₂²×C₄	—	4	1	no	—
962	C₂²×C₄	—	4	1	no	—
963	C₂²×C₄	—	4	1	no	—
964	C₂²×C₄	—	4	1	no	—
965	C₂²×C₄	—	4	1	no	—
966	C₂²×C₄	—	4	1	no	—
967	C₂²×C₄	—	4	1	no	—
968	C₂²×C₄	—	4	1	no	—
969	C₂²×C₄	—	4	1	no	—
970	C₂²×C₄	—	4	1	no	—
971	C₂²×C₄	—	4	1	no	—
972	C₂²×C₄	—	4	1	no	—
973	C₂²×C₄	—	4	1	no	—
974	C₂²×C₄	—	4	1	no	—
975	C₂²×C₄	—	4	1	no	—
976	C₂²×C₄	—	8	4	no	—
977	C₂²×C₄	C₂×D₈	1	1	yes	characteristic
978	C₂²×C₄	C₂×D₈	1	1	yes	characteristic
979	C₂²×C₄	C₂×D₈	1	1	yes	characteristic
980	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
981	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
982	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
983	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
984	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
985	Q₁₆	—	2	1	no	—
986	Q₁₆	—	2	1	no	—
987	Q₁₆	—	2	1	no	—
988	Q₁₆	—	2	1	no	—
989	Q₁₆	—	2	1	no	—
990	Q₁₆	—	2	1	no	—
991	Q₁₆	—	2	1	no	—
992	Q₁₆	—	2	1	no	—
993	Q₁₆	—	2	1	no	—
994	Q₁₆	—	2	1	no	—
995	Q₁₆	—	2	1	no	—
996	Q₁₆	—	2	1	no	—
997	Q₁₆	—	2	1	no	—
998	Q₁₆	—	4	2	no	—
999	Q₁₆	—	4	2	no	—
1000	Q₁₆	—	4	2	no	—
1001	Q₁₆	—	4	2	no	—
1002	Q₁₆	—	8	1	no	—
1003	Q₁₆	—	8	1	no	—
1004	Q₁₆	—	8	1	no	—
1005	Q₁₆	—	8	1	no	—
1006	Q₁₆	—	8	1	no	—
1007	Q₁₆	H(5,𝔽₂)	1	2	yes	—
1008	SD₁₆	—	2	4	no	—
1009	SD₁₆	—	4	2	no	—
1010	SD₁₆	—	4	2	no	—
1011	SD₁₆	—	4	2	no	—
1012	SD₁₆	—	4	2	no	—
1013	SD₁₆	—	4	2	no	—
1014	SD₁₆	—	8	1	no	—
1015	SD₁₆	—	8	1	no	—
1016	SD₁₆	—	8	1	no	—
1017	SD₁₆	—	8	1	no	—
1018	SD₁₆	—	8	1	no	—
1019	D₈	—	2	1	no	—
1020	D₈	—	2	1	no	—
1021	D₈	—	2	1	no	—
1022	D₈	—	2	1	no	—
1023	D₈	—	2	1	no	—
1024	D₈	—	4	2	no	—
1025	D₈	H(5,𝔽₂)	1	2	yes	—
1026	M₁₆	—	4	1	no	—
1027	M₁₆	—	4	1	no	—
1028	M₁₆	—	4	1	no	—
1029	M₁₆	—	4	1	no	—
1030	C₂×C₈	—	2	1	no	—
1031	C₂×C₈	—	2	1	no	—
1032	C₂×C₈	—	2	1	no	—
1033	C₂×C₈	—	2	1	no	—
1034	C₂×C₈	—	2	1	no	—
1035	C₂×C₈	—	2	1	no	—
1036	C₂×C₈	—	2	1	no	—
1037	C₂×C₈	—	2	1	no	—
1038	C₂×C₈	—	2	1	no	—
1039	C₂×C₈	—	2	1	no	—
1040	C₂×C₈	—	4	1	no	—
1041	C₂×C₈	—	4	1	no	—
1042	C₂×C₈	—	4	1	no	—
1043	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1044	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1045	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1046	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1047	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1048	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1049	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1050	C₂×C₈	C₂⁵	1	1	yes	characteristic
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	4	1	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1090	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1091	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1093	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1094	C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	4	1	no	—
1099	C₂²⋊C₄	—	4	1	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₂²⋊C₄	—	4	1	no	—
1108	C₂²⋊C₄	—	4	1	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₂²⋊C₄	—	4	1	no	—
1111	C₂²⋊C₄	—	4	1	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	4	1	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	—	4	1	no	—
1117	C₂²⋊C₄	—	4	1	no	—
1118	C₂²⋊C₄	—	4	1	no	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1127	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1128	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1129	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1132	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1133	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1134	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×D₈	1	1	yes	characteristic
1136	C₄²	—	4	1	no	—
1137	C₄²	—	4	1	no	—
1138	C₄²	—	4	1	no	—
1139	C₄²	—	4	1	no	—
1140	C₄²	—	4	1	no	—
1141	C₄²	—	4	1	no	—
1142	C₄²	—	4	1	no	—
1143	C₄²	C₂²×D₄	1	1	yes	characteristic
1144	C₄²	C₂²×D₄	1	1	yes	characteristic
1145	C₁₆	—	2	1	no	—
1146	C₁₆	—	2	1	no	—
1147	C₁₆	—	2	1	no	—
1148	C₁₆	—	2	1	no	—
1149	C₁₆	—	2	1	no	—
1150	C₁₆	—	2	1	no	—
1151	C₁₆	—	2	1	no	—
1152	C₁₆	—	2	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	4	1	no	—
1156	C₂³	—	4	1	no	—
1157	C₂³	—	4	1	no	—
1158	C₂³	—	4	1	no	—
1159	C₂³	—	8	2	no	—
1160	C₂³	—	8	2	no	—
1161	C₂³	—	16	1	no	—
1162	C₂³	C₂²×D₈	1	1	yes	characteristic
1163	C₂³	C₂²×D₈	1	1	yes	characteristic
1164	C₂³	C₂²×D₈	1	1	yes	characteristic
1165	C₂³	C₂²×D₈	1	1	yes	characteristic
1166	C₂³	C₂²×D₈	1	1	yes	characteristic
1167	Q₈	—	2	2	no	—
1168	Q₈	—	4	1	no	—
1169	Q₈	—	4	1	no	—
1170	Q₈	—	4	1	no	—
1171	Q₈	—	4	1	no	—
1172	Q₈	—	4	1	no	—
1173	Q₈	—	4	1	no	—
1174	Q₈	—	4	1	no	—
1175	Q₈	—	4	1	no	—
1176	Q₈	—	4	1	no	—
1177	Q₈	—	4	1	no	—
1178	Q₈	—	4	1	no	—
1179	Q₈	—	4	1	no	—
1180	Q₈	—	4	1	no	—
1181	Q₈	—	4	1	no	—
1182	Q₈	—	8	2	no	—
1183	Q₈	—	8	2	no	—
1184	Q₈	—	8	2	no	—
1185	Q₈	—	8	2	no	—
1186	Q₈	—	16	1	no	—
1187	Q₈	—	16	1	no	—
1188	Q₈	—	16	1	no	—
1189	D₄	—	2	2	no	—
1190	D₄	—	4	1	no	—
1191	D₄	—	4	1	no	—
1192	D₄	—	4	1	no	—
1193	D₄	—	4	1	no	—
1194	D₄	—	4	1	no	—
1195	D₄	—	4	1	no	—
1196	D₄	—	4	1	no	—
1197	D₄	—	4	4	no	—
1198	D₄	—	4	1	no	—
1199	D₄	—	4	1	no	—
1200	D₄	—	4	1	no	—
1201	D₄	—	4	1	no	—
1202	D₄	—	4	1	no	—
1203	D₄	—	8	2	no	—
1204	D₄	—	8	2	no	—
1205	D₄	—	8	2	no	—
1206	D₄	—	8	2	no	—
1207	D₄	—	8	2	no	—
1208	D₄	—	8	2	no	—
1209	D₄	—	8	2	no	—
1210	D₄	—	16	1	no	—
1211	D₄	—	16	1	no	—
1212	D₄	—	16	1	no	—
1213	D₄	—	16	1	no	—
1214	D₄	—	16	1	no	—
1215	D₄	—	16	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	4	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	1	no	—
1232	C₂×C₄	—	4	1	no	—
1233	C₂×C₄	—	4	1	no	—
1234	C₂×C₄	—	4	1	no	—
1235	C₂×C₄	—	4	1	no	—
1236	C₂×C₄	—	4	1	no	—
1237	C₂×C₄	—	4	1	no	—
1238	C₂×C₄	—	4	1	no	—
1239	C₂×C₄	—	4	1	no	—
1240	C₂×C₄	—	4	1	no	—
1241	C₂×C₄	—	4	1	no	—
1242	C₂×C₄	—	4	1	no	—
1243	C₂×C₄	—	8	2	no	—
1244	C₂×C₄	—	8	2	no	—
1245	C₂×C₄	—	8	2	no	—
1246	C₂×C₄	—	8	2	no	—
1247	C₂×C₄	—	8	2	no	—
1248	C₂×C₄	—	8	2	no	—
1249	C₂×C₄	—	8	2	no	—
1250	C₂×C₄	—	8	2	no	—
1251	C₂×C₄	—	8	2	no	—
1252	C₂×C₄	—	16	1	no	—
1253	C₂×C₄	—	16	1	no	—
1254	C₂×C₄	—	16	1	no	—
1255	C₂×C₄	—	16	1	no	—
1256	C₂×C₄	—	16	1	no	—
1257	C₂×C₄	—	16	1	no	—
1258	C₂×C₄	—	16	1	no	—
1259	C₂×C₄	—	16	1	no	—
1260	C₂×C₄	—	16	1	no	—
1261	C₂×C₄	—	16	1	no	—
1262	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1263	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1264	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1265	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1266	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1267	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1268	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1269	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1270	C₂×C₄	C₂²×D₈	1	1	yes	characteristic
1271	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1272	C₈	—	2	1	no	—
1273	C₈	—	2	1	no	—
1274	C₈	—	2	1	no	—
1275	C₈	—	2	1	no	—
1276	C₈	—	2	1	no	—
1277	C₈	—	2	1	no	—
1278	C₈	—	2	1	no	—
1279	C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1280	C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1281	C₂²	—	2	1	no	—
1282	C₂²	—	2	1	no	—
1283	C₂²	—	2	1	no	—
1284	C₂²	—	2	1	no	—
1285	C₂²	—	2	1	no	—
1286	C₂²	—	2	1	no	—
1287	C₂²	—	2	1	no	—
1288	C₂²	—	2	1	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	1	no	—
1291	C₂²	—	2	1	no	—
1292	C₂²	—	2	1	no	—
1293	C₂²	—	2	1	no	—
1294	C₂²	—	2	1	no	—
1295	C₂²	—	2	1	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	8	2	no	—
1298	C₂²	—	8	1	no	—
1299	C₂²	—	8	1	no	—
1300	C₂²	—	8	1	no	—
1301	C₂²	—	8	1	no	—
1302	C₂²	—	8	1	no	—
1303	C₂²	—	8	1	no	—
1304	C₂²	—	8	1	no	—
1305	C₂²	—	8	1	no	—
1306	C₂²	—	16	4	no	—
1307	C₂²	C₂³×D₈	1	1	yes	characteristic
1308	C₄	—	2	1	no	—
1309	C₄	—	2	1	no	—
1310	C₄	—	2	1	no	—
1311	C₄	—	2	1	no	—
1312	C₄	—	2	1	no	—
1313	C₄	—	2	1	no	—
1314	C₄	—	2	1	no	—
1315	C₄	—	2	1	no	—
1316	C₄	—	2	1	no	—
1317	C₄	—	4	2	no	—
1318	C₄	—	8	1	no	—
1319	C₄	—	8	1	no	—
1320	C₄	—	8	1	no	—
1321	C₄	—	8	1	no	—
1322	C₄	—	8	1	no	—
1323	C₄	—	8	1	no	—
1324	C₄	—	8	1	no	—
1325	C₄	—	8	1	no	—
1326	C₄	—	8	1	no	—
1327	C₄	—	8	1	no	—
1328	C₄	—	8	1	no	—
1329	C₄	—	8	1	no	—
1330	C₄	#3484	1	1	yes	characteristic
1331	C₄	#3585	1	1	yes	characteristic
1332	C₂	—	4	1	no	—
1333	C₂	—	4	1	no	—
1334	C₂	—	4	1	no	—
1335	C₂	—	4	1	no	—
1336	C₂	—	4	1	no	—
1337	C₂	—	8	2	no	—
1338	C₂	—	16	1	no	—
1339	C₂	—	16	1	no	—
1340	C₂	#61559	1	1	yes	characteristic
1341	C₂	#62637	1	1	yes	characteristic
1342	C₂	#62637	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁵
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #525 ◁ #2929 ◁ G
LECS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62267	C₂	semidirect
2. #61057	C₂	semidirect
3. #33898	C₂	semidirect
4. #33895	C₂	semidirect
5. #33893	C₂	semidirect
6. #33890	C₂	semidirect
7. #33883	C₂	semidirect
8. #33879	C₂	semidirect
9. #33878	C₂	semidirect
10. #33874	C₂	semidirect
11. #33843	C₂	semidirect
12. #33842	C₂	semidirect
13. #33842	C₂	semidirect
14. #33841	C₂	semidirect
15. #33836	C₂	semidirect
16. #33836	C₂	semidirect
17. #33835	C₂	semidirect
18. #33833	C₂	semidirect
19. #33791	C₂	semidirect
20. #33789	C₂	semidirect
21. #33770	C₂	semidirect
22. #33767	C₂	semidirect
23. #33762	C₂	semidirect
24. #33761	C₂	semidirect
25. #33685	C₂	semidirect
26. #33680	C₂	semidirect
27. #33527	C₂	semidirect
28. #33525	C₂	semidirect
29. #33521	C₂	semidirect
30. #33519	C₂	semidirect
31. #33492	C₂	semidirect
39. C₂×#510	C₂²	semidirect
40. C₂×#510	C₂²	semidirect
42. C₂×#508	C₂²	semidirect
43. C₂²×Q₃₂	C₂²	semidirect
45. #3339	C₂²	semidirect
46. #3338	C₂²	semidirect
54. D₄×Q₁₆	C₂²	semidirect
58. #3285	C₂²	semidirect
71. #3177	C₂²	semidirect
72. #3175	C₂²	semidirect
75. #3061	C₂²	semidirect
76. #3059	C₂²	semidirect
85. #2251	C₂²	semidirect
86. #2251	C₂²	semidirect
87. #2249	C₂²	semidirect
88. #2247	C₂²	semidirect
89. #2245	C₂²	semidirect
90. #2243	C₂²	semidirect
91. #2242	C₂²	semidirect
92. #2241	C₂²	semidirect
95. #2237	C₂²	semidirect
96. #2236	C₂²	semidirect
97. #2235	C₂²	semidirect
98. #2235	C₂²	semidirect
99. #2235	C₂²	semidirect
100. #2235	C₂²	semidirect
101. #2235	C₂²	semidirect
102. #2234	C₂²	semidirect
103. #2233	C₂²	semidirect
104. #2233	C₂²	semidirect
105. #2229	C₂²	semidirect
106. #2228	C₂²	semidirect
107. #2226	C₂²	semidirect
108. #2225	C₂²	semidirect
109. #2220	C₂²	semidirect
110. #2220	C₂²	semidirect
111. #2220	C₂²	semidirect
116. #2219	C₂²	semidirect
117. #2219	C₂²	semidirect
118. #2219	C₂²	semidirect
119. #2219	C₂²	semidirect
120. #2218	C₂²	semidirect
121. #2217	C₂²	semidirect
122. #2217	C₂²	semidirect
123. #2217	C₂²	semidirect
124. #2216	C₂²	semidirect
125. #2211	C₂²	semidirect
126. #2211	C₂²	semidirect
127. #2211	C₂²	semidirect
128. #2211	C₂²	semidirect
129. #2210	C₂²	semidirect
130. #2210	C₂²	semidirect
131. #2209	C₂²	semidirect
132. #2209	C₂²	semidirect
133. #2209	C₂²	semidirect
134. #2209	C₂²	semidirect
135. #2208	C₂²	semidirect
136. #2208	C₂²	semidirect
147. #2189	C₂²	semidirect
148. #2189	C₂²	semidirect
149. #2189	C₂²	semidirect
150. #2189	C₂²	semidirect
153. #2188	C₂²	semidirect
154. #2188	C₂²	semidirect
155. #2188	C₂²	semidirect
156. #2188	C₂²	semidirect
157. #2188	C₂²	semidirect
158. #2188	C₂²	semidirect
159. #2188	C₂²	semidirect
160. #2188	C₂²	semidirect
161. #2188	C₂²	semidirect
168. #2186	C₂²	semidirect
169. #2186	C₂²	semidirect
170. #2185	C₂²	semidirect
171. #2185	C₂²	semidirect
172. #2185	C₂²	semidirect
173. #2177	C₂²	semidirect
174. #2176	C₂²	semidirect
175. #2176	C₂²	semidirect
176. #2175	C₂²	semidirect
177. C₄×Q₃₂	C₂²	semidirect
178. C₄×SD₃₂	C₂²	semidirect
179. C₄×SD₃₂	C₂²	semidirect
180. C₄×SD₃₂	C₂²	semidirect
183. #2169	C₂²	semidirect
184. #2169	C₂²	semidirect
187. #2168	C₂²	semidirect
188. #2168	C₂²	semidirect
189. #2164	C₂²	semidirect
190. #2164	C₂²	semidirect
192. #2141	C₂²	semidirect
196. #2139	C₂²	semidirect
197. #2138	C₂²	semidirect
198. C₂×#358	C₂²	semidirect
199. #2113	C₂²	semidirect
200. #2113	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#62267	2
#61057	2
#33898	2
#33895	2
#33893	2
#33890	2
#33883	2
#33879	2
#33878	2
#33874	2
#33843	2
#33842	2
#33841	2
#33836	2
#33835	2
#33833	2
#33791	2
#33789	2
#33770	2
#33767	2
#33762	2
#33761	2
#33685	2
#33680	2
#33527	2
#33525	2
#33521	2
#33519	2
#33492	2