Subgroups — #61625

Order 256.

1059 conjugacy classes of subgroups.

The subgroup lattice has 960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3540	C₂	1	1	yes	maximal, characteristic, complemented
2	#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	#3325	C₂	1	1	yes	maximal, characteristic, complemented
4	#3324	C₂	1	1	yes	maximal, characteristic, complemented
5	#3321	C₂	1	1	yes	maximal, characteristic, complemented
6	#3319	C₂	1	1	yes	maximal, characteristic, complemented
7	#3313	C₂	1	1	yes	maximal, characteristic, complemented
8	#3311	C₂	1	1	yes	maximal, characteristic, complemented
9	#3305	C₂	1	1	yes	maximal, characteristic, complemented
10	#3304	C₂	1	1	yes	maximal, characteristic, complemented
11	#3282	C₂	1	1	yes	maximal, characteristic, complemented
12	#3280	C₂	1	1	yes	maximal, characteristic, complemented
13	#3277	C₂	1	1	yes	maximal, characteristic, complemented
14	#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	#3265	C₂	1	1	yes	maximal, characteristic, complemented
18	#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	#3224	C₂	1	1	yes	maximal, characteristic, complemented
21	#3201	C₂	1	1	yes	maximal, characteristic, complemented
22	#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	#3188	C₂	1	1	yes	maximal, characteristic, complemented
25	#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	#3124	C₂	1	1	yes	maximal, characteristic, complemented
27	#3009	C₂	1	1	yes	maximal, characteristic, complemented
28	#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	#3005	C₂	1	1	yes	maximal, characteristic, complemented
30	#3002	C₂	1	1	yes	maximal, characteristic, complemented
31	#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
33	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂²×SD₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈	C₂²	1	1	yes	characteristic, complemented
42	H(3,𝔽₄)	—	2	1	no	—
43	#560	—	2	1	no	—
44	#559	—	2	1	no	—
45	#556	C₂²	1	1	yes	characteristic, complemented
46	#556	C₂²	1	1	yes	characteristic, complemented
47	#555	C₂²	1	1	yes	characteristic, complemented
48	#555	C₂²	1	1	yes	characteristic, complemented
49	#551	—	2	1	no	—
50	#550	C₂²	1	1	yes	characteristic
51	#550	C₂²	1	1	yes	characteristic, complemented
52	#548	C₂²	1	1	yes	characteristic
53	#548	C₂²	1	1	yes	characteristic, complemented
54	#548	C₂²	1	1	yes	characteristic, complemented
55	#548	C₂²	1	1	yes	characteristic, complemented
56	#546	—	2	1	no	—
57	#546	—	2	1	no	—
58	#546	C₂²	1	1	yes	characteristic
59	#546	C₂²	1	1	yes	characteristic, complemented
60	#546	C₂²	1	1	yes	characteristic, complemented
61	#546	C₂²	1	1	yes	characteristic, complemented
62	D₄²	—	2	1	no	—
63	D₄²	—	2	1	no	—
64	D₄²	C₂²	1	1	yes	characteristic
65	D₄²	C₂²	1	1	yes	characteristic, complemented
66	#542	—	2	1	no	—
67	#542	—	2	1	no	—
68	#542	C₂²	1	1	yes	characteristic, complemented
69	#542	C₂²	1	1	yes	characteristic, complemented
70	#538	—	2	1	no	—
71	#538	—	2	1	no	—
72	#537	—	2	1	no	—
73	#537	C₂²	1	1	yes	characteristic
74	#536	C₂²	1	1	yes	characteristic, complemented
75	#535	—	2	1	no	—
76	#535	C₂²	1	1	yes	characteristic, complemented
77	#535	C₂²	1	1	yes	characteristic, complemented
78	#525	—	2	1	no	—
79	#525	C₂²	1	1	yes	characteristic
80	#525	C₂²	1	1	yes	characteristic, complemented
81	#525	C₂²	1	1	yes	characteristic, complemented
82	C₂×#121	—	2	1	no	—
83	C₂×#121	C₂²	1	1	yes	characteristic, complemented
84	#520	C₂²	1	1	yes	characteristic, complemented
85	#496	C₂²	1	1	yes	characteristic, complemented
86	#496	C₂²	1	1	yes	characteristic, complemented
87	#495	C₂²	1	1	yes	characteristic, complemented
88	#495	C₂²	1	1	yes	characteristic, complemented
89	#489	C₂²	1	1	yes	characteristic, complemented
90	#489	C₂²	1	1	yes	characteristic, complemented
91	#486	C₂²	1	1	yes	characteristic, complemented
92	#486	C₂²	1	1	yes	characteristic, complemented
93	#485	C₂²	1	1	yes	characteristic, complemented
94	#485	C₂²	1	1	yes	characteristic, complemented
95	#484	C₂²	1	1	yes	characteristic, complemented
96	#483	C₂²	1	1	yes	characteristic, complemented
97	#482	C₂²	1	1	yes	characteristic, complemented
98	#482	C₂²	1	1	yes	characteristic, complemented
99	#482	C₂²	1	1	yes	characteristic, complemented
100	#482	C₂²	1	1	yes	characteristic, complemented
101	#482	C₂²	1	1	yes	characteristic, complemented
102	#482	C₂²	1	1	yes	characteristic, complemented
103	#481	C₂²	1	1	yes	characteristic, complemented
104	#480	C₂²	1	1	yes	characteristic, complemented
105	#477	C₂²	1	1	yes	characteristic, complemented
106	#476	C₂²	1	1	yes	characteristic, complemented
107	#475	C₂²	1	1	yes	characteristic, complemented
108	#474	C₂²	1	1	yes	characteristic, complemented
109	#470	C₂²	1	1	yes	characteristic, complemented
110	#469	C₂²	1	1	yes	characteristic, complemented
111	#469	C₂²	1	1	yes	characteristic, complemented
112	#469	C₂²	1	1	yes	characteristic, complemented
113	#468	C₂²	1	1	yes	characteristic, complemented
114	#468	C₂²	1	1	yes	characteristic, complemented
115	#468	C₂²	1	1	yes	characteristic, complemented
116	#468	C₂²	1	1	yes	characteristic, complemented
117	#467	C₂²	1	1	yes	characteristic, complemented
118	#466	C₂²	1	1	yes	characteristic, complemented
119	#466	C₂²	1	1	yes	characteristic, complemented
120	#466	C₂²	1	1	yes	characteristic, complemented
121	#465	C₂²	1	1	yes	characteristic, complemented
122	#465	C₂²	1	1	yes	characteristic, complemented
123	#465	C₂²	1	1	yes	characteristic, complemented
124	#465	C₂²	1	1	yes	characteristic, complemented
125	#464	C₂²	1	1	yes	characteristic, complemented
126	#464	C₂²	1	1	yes	characteristic, complemented
127	#464	C₂²	1	1	yes	characteristic, complemented
128	#464	C₂²	1	1	yes	characteristic, complemented
129	#463	C₂²	1	1	yes	characteristic, complemented
130	#463	C₂²	1	1	yes	characteristic, complemented
131	#463	C₂²	1	1	yes	characteristic, complemented
132	#463	C₂²	1	1	yes	characteristic, complemented
133	#460	C₂²	1	1	yes	characteristic, complemented
134	#460	C₂²	1	1	yes	characteristic, complemented
135	#459	C₂²	1	1	yes	characteristic, complemented
136	#459	C₂²	1	1	yes	characteristic, complemented
137	#452	C₂²	1	1	yes	characteristic, complemented
138	#452	C₂²	1	1	yes	characteristic, complemented
139	#452	C₂²	1	1	yes	characteristic, complemented
140	#452	C₂²	1	1	yes	characteristic, complemented
141	#452	C₂²	1	1	yes	characteristic, complemented
142	#452	C₂²	1	1	yes	characteristic, complemented
143	#452	C₂²	1	1	yes	characteristic, complemented
144	#452	C₂²	1	1	yes	characteristic, complemented
145	#451	C₂²	1	1	yes	characteristic, complemented
146	#451	C₂²	1	1	yes	characteristic, complemented
147	#450	C₂²	1	1	yes	characteristic, complemented
148	#450	C₂²	1	1	yes	characteristic, complemented
149	#450	C₂²	1	1	yes	characteristic, complemented
150	#450	C₂²	1	1	yes	characteristic, complemented
151	#450	C₂²	1	1	yes	characteristic, complemented
152	#450	C₂²	1	1	yes	characteristic, complemented
153	#449	C₂²	1	1	yes	characteristic
154	#449	C₂²	1	1	yes	characteristic
155	#449	C₂²	1	1	yes	characteristic, complemented
156	#449	C₂²	1	1	yes	characteristic, complemented
157	#449	C₂²	1	1	yes	characteristic, complemented
158	#449	C₂²	1	1	yes	characteristic, complemented
159	#449	C₂²	1	1	yes	characteristic, complemented
160	#449	C₂²	1	1	yes	characteristic, complemented
161	#449	C₂²	1	1	yes	characteristic, complemented
162	#449	C₂²	1	1	yes	characteristic, complemented
163	#449	C₂²	1	1	yes	characteristic, complemented
164	#449	C₂²	1	1	yes	characteristic, complemented
165	#448	C₂²	1	1	yes	characteristic, complemented
166	#448	C₂²	1	1	yes	characteristic, complemented
167	#447	C₂²	1	1	yes	characteristic, complemented
168	#447	C₂²	1	1	yes	characteristic, complemented
169	#447	C₂²	1	1	yes	characteristic, complemented
170	#447	C₂²	1	1	yes	characteristic, complemented
171	#447	C₂²	1	1	yes	characteristic, complemented
172	#447	C₂²	1	1	yes	characteristic, complemented
173	#442	C₂²	1	1	yes	characteristic, complemented
174	#441	C₂²	1	1	yes	characteristic, complemented
175	#440	C₂²	1	1	yes	characteristic, complemented
176	#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₈	C₂²	1	1	yes	characteristic, complemented
181	#436	C₂²	1	1	yes	characteristic, complemented
182	#436	C₂²	1	1	yes	characteristic, complemented
183	#435	C₂²	1	1	yes	characteristic, complemented
184	#435	C₂²	1	1	yes	characteristic, complemented
185	#435	C₂²	1	1	yes	characteristic, complemented
186	#435	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄	C₂²	1	1	yes	characteristic, complemented
189	#433	C₂²	1	1	yes	characteristic, complemented
190	#433	C₂²	1	1	yes	characteristic, complemented
191	#419	C₂²	1	1	yes	characteristic, complemented
192	#418	C₂²	1	1	yes	characteristic, complemented
193	#418	C₂²	1	1	yes	characteristic, complemented
194	#418	C₂²	1	1	yes	characteristic, complemented
195	#416	C₂²	1	1	yes	characteristic, complemented
196	#416	C₂²	1	1	yes	characteristic, complemented
197	#416	C₂²	1	1	yes	characteristic, complemented
198	#416	C₂²	1	1	yes	characteristic, complemented
199	#408	C₂²	1	1	yes	characteristic, complemented
200	#408	C₂²	1	1	yes	characteristic, complemented
201	#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	H(5,𝔽₂)	—	4	2	no	—
204	H(5,𝔽₂)	—	4	2	no	—
205	C₂×#41	—	2	1	no	—
206	C₂×#41	—	2	1	no	—
207	C₂×#41	—	2	1	no	—
208	C₂×#41	—	4	2	no	—
209	C₂×#41	—	4	2	no	—
210	C₂×#41	C₂³	1	1	yes	characteristic
211	C₂×#41	C₂³	1	1	yes	characteristic
212	C₂×#41	C₂³	1	1	yes	characteristic
213	C₂×#41	C₂³	1	1	yes	characteristic
214	C₂×#41	C₂³	1	1	yes	characteristic
215	C₂×#41	C₂³	1	1	yes	characteristic
216	C₂×#41	C₂³	1	1	yes	characteristic
217	C₂×#41	C₂³	1	1	yes	characteristic
218	C₂×#41	C₂³	1	1	yes	characteristic
219	C₂²×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×D₄	—	2	1	no	—
222	C₂²×D₄	—	2	1	no	—
223	C₂²×D₄	—	2	1	no	—
224	C₂²×D₄	—	2	1	no	—
225	C₂²×D₄	—	2	1	no	—
226	C₂²×D₄	—	2	1	no	—
227	C₂²×D₄	—	2	1	no	—
228	C₂²×D₄	C₂³	1	1	yes	characteristic
229	C₂²×D₄	C₂³	1	1	yes	characteristic
230	C₂²×D₄	C₂³	1	1	yes	characteristic
231	C₂²×D₄	C₂³	1	1	yes	characteristic
232	C₂²×D₄	C₂³	1	1	yes	characteristic
233	C₂³×C₄	—	2	1	no	—
234	C₂³×C₄	C₂³	1	1	yes	characteristic
235	#137	—	4	2	no	—
236	#137	—	4	2	no	—
237	AGL(1,ℤ/8)	—	4	2	no	—
238	AGL(1,ℤ/8)	—	4	2	no	—
239	#135	—	4	2	no	—
240	#135	—	4	2	no	—
241	C₂×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×SD₁₆	—	4	2	no	—
246	C₂×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂×SD₁₆	C₂³	1	1	yes	characteristic
252	C₂×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×SD₁₆	C₂³	1	1	yes	characteristic
254	C₂×SD₁₆	C₂³	1	1	yes	characteristic
255	C₂×SD₁₆	C₂³	1	1	yes	characteristic
256	C₂×SD₁₆	C₂³	1	1	yes	characteristic
257	C₂×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂×D₈	—	4	2	no	—
259	C₂×D₈	C₂³	1	1	yes	characteristic
260	C₂×D₈	C₂³	1	1	yes	characteristic
261	C₂×D₈	C₂³	1	1	yes	characteristic
262	C₂×D₈	C₂³	1	1	yes	characteristic
263	C₂×D₈	C₂³	1	1	yes	characteristic
264	C₂×D₈	C₂³	1	1	yes	characteristic
265	C₂×D₈	C₂³	1	1	yes	characteristic
266	C₂×D₈	C₂³	1	1	yes	characteristic
267	C₂×M₁₆	C₂³	1	1	yes	characteristic
268	C₂×M₁₆	C₂³	1	1	yes	characteristic
269	C₂×M₁₆	C₂³	1	1	yes	characteristic
270	C₂×M₁₆	C₂³	1	1	yes	characteristic
271	C₂²×C₈	C₂³	1	1	yes	characteristic
272	C₂²×C₈	C₂³	1	1	yes	characteristic
273	C₂²×C₈	C₂³	1	1	yes	characteristic
274	C₂²×C₈	C₂³	1	1	yes	characteristic
275	C₄⋊Q₈	—	2	1	no	—
276	C₄⋊Q₈	C₂³	1	1	yes	characteristic
277	C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	#127	—	2	1	no	—
279	#127	—	2	1	no	—
280	#127	—	2	1	no	—
281	#127	C₂³	1	1	yes	characteristic
282	#127	C₂³	1	1	yes	characteristic
283	#126	—	2	1	no	—
284	#126	—	2	1	no	—
285	#126	—	2	1	no	—
286	#126	—	2	1	no	—
287	#126	—	2	1	no	—
288	#126	—	2	1	no	—
289	#124	—	2	1	no	—
290	#124	—	2	1	no	—
291	#124	—	2	1	no	—
292	#124	—	2	1	no	—
293	#124	—	2	1	no	—
294	#124	—	2	1	no	—
295	#124	—	2	1	no	—
296	#124	—	2	1	no	—
297	#124	—	2	1	no	—
298	#124	—	2	1	no	—
299	#124	—	2	1	no	—
300	#124	—	2	1	no	—
301	#124	—	2	1	no	—
302	#124	—	2	1	no	—
303	#124	C₂³	1	1	yes	characteristic
304	#124	C₂³	1	1	yes	characteristic
305	#124	C₂³	1	1	yes	characteristic
306	#124	C₂³	1	1	yes	characteristic
307	#123	—	2	1	no	—
308	#123	—	2	1	no	—
309	#123	—	2	1	no	—
310	#123	—	2	1	no	—
311	#123	—	2	1	no	—
312	#123	—	2	1	no	—
313	#123	—	2	1	no	—
314	#123	—	2	1	no	—
315	#123	—	2	1	no	—
316	#123	—	2	1	no	—
317	#123	D₄	1	1	yes	characteristic
318	#123	D₄	1	1	yes	characteristic
319	C₂²⋊Q₈	—	2	1	no	—
320	C₂²⋊Q₈	—	2	1	no	—
321	C₂²⋊Q₈	—	2	1	no	—
322	C₂²⋊Q₈	—	2	1	no	—
323	C₂²⋊Q₈	—	2	1	no	—
324	C₂²⋊Q₈	—	2	1	no	—
325	C₂²⋊Q₈	—	2	1	no	—
326	C₂²⋊Q₈	D₄	1	1	yes	characteristic
327	C₂²⋊Q₈	D₄	1	1	yes	characteristic
328	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	#121	—	2	1	no	—
337	#121	—	2	1	no	—
338	#121	—	2	1	no	—
339	#121	—	2	1	no	—
340	#121	—	2	1	no	—
341	#121	—	2	1	no	—
342	#121	—	2	1	no	—
343	#121	—	2	1	no	—
344	#121	—	2	1	no	—
345	#121	—	2	1	no	—
346	#121	—	2	1	no	—
347	#121	—	2	1	no	—
348	#121	—	2	1	no	—
349	#121	—	2	1	no	—
350	#121	—	2	1	no	—
351	#121	—	2	1	no	—
352	#121	—	2	1	no	—
353	#121	—	2	1	no	—
354	#121	—	2	1	no	—
355	#121	—	2	1	no	—
356	#121	—	2	1	no	—
357	#121	—	2	1	no	—
358	#121	—	2	1	no	—
359	#121	D₄	1	1	yes	characteristic
360	#121	D₄	1	1	yes	characteristic
361	#121	C₂³	1	1	yes	characteristic
362	#121	C₂³	1	1	yes	characteristic
363	#121	C₂³	1	1	yes	characteristic
364	#121	C₂³	1	1	yes	characteristic
365	#121	C₂³	1	1	yes	characteristic
366	#121	C₂³	1	1	yes	characteristic
367	#121	C₂³	1	1	yes	characteristic
368	#121	C₂³	1	1	yes	characteristic
369	#121	C₂³	1	1	yes	characteristic
370	#121	C₂³	1	1	yes	characteristic
371	#121	C₂³	1	1	yes	characteristic
372	#121	C₂³	1	1	yes	characteristic
373	#120	—	2	1	no	—
374	#120	—	2	1	no	—
375	#120	—	2	1	no	—
376	#120	—	2	1	no	—
377	#120	—	2	1	no	—
378	#120	—	2	1	no	—
379	#120	—	2	1	no	—
380	#120	—	2	1	no	—
381	#120	—	2	1	no	—
382	#120	—	2	1	no	—
383	#120	—	2	1	no	—
384	#120	—	2	1	no	—
385	#120	—	2	1	no	—
386	#120	—	2	1	no	—
387	#120	D₄	1	1	yes	characteristic
388	#120	D₄	1	1	yes	characteristic
389	C₄×Q₈	—	2	1	no	—
390	C₄×Q₈	—	2	1	no	—
391	C₄×Q₈	C₂³	1	1	yes	characteristic
392	C₄×Q₈	C₂³	1	1	yes	characteristic
393	C₄×Q₈	C₂³	1	1	yes	characteristic
394	C₄×Q₈	C₂³	1	1	yes	characteristic
395	C₄×D₄	—	2	1	no	—
396	C₄×D₄	—	2	1	no	—
397	C₄×D₄	—	2	1	no	—
398	C₄×D₄	—	2	1	no	—
399	C₄×D₄	—	2	1	no	—
400	C₄×D₄	—	2	1	no	—
401	C₄×D₄	—	2	1	no	—
402	C₄×D₄	—	2	1	no	—
403	C₄×D₄	—	2	1	no	—
404	C₄×D₄	—	2	1	no	—
405	C₄×D₄	—	2	1	no	—
406	C₄×D₄	—	2	1	no	—
407	C₄×D₄	C₂³	1	1	yes	characteristic
408	C₄×D₄	C₂³	1	1	yes	characteristic
409	C₄×D₄	C₂³	1	1	yes	characteristic
410	C₄×D₄	C₂³	1	1	yes	characteristic
411	C₄×D₄	C₂³	1	1	yes	characteristic
412	C₄×D₄	C₂³	1	1	yes	characteristic
413	C₄×D₄	C₂³	1	1	yes	characteristic
414	C₄×D₄	C₂³	1	1	yes	characteristic
415	#117	—	2	1	no	—
416	#117	—	2	1	no	—
417	#117	—	2	1	no	—
418	#117	C₂³	1	1	yes	characteristic
419	#117	C₂³	1	1	yes	characteristic
420	#117	C₂³	1	1	yes	characteristic
421	#117	C₂³	1	1	yes	characteristic
422	#117	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄	—	2	1	no	—
424	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₂²⋊C₄	—	2	1	no	—
426	C₂×C₂²⋊C₄	—	2	1	no	—
427	C₂×C₂²⋊C₄	—	2	1	no	—
428	C₂×C₂²⋊C₄	—	2	1	no	—
429	C₂×C₂²⋊C₄	—	2	1	no	—
430	#107	C₂³	1	1	yes	characteristic
431	#107	C₂³	1	1	yes	characteristic
432	#107	C₂³	1	1	yes	characteristic
433	#107	C₂³	1	1	yes	characteristic
434	#106	C₂³	1	1	yes	characteristic
435	#106	C₂³	1	1	yes	characteristic
436	#106	C₂³	1	1	yes	characteristic
437	#106	C₂³	1	1	yes	characteristic
438	C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₄⋊C₈	C₂³	1	1	yes	characteristic
442	#103	C₂³	1	1	yes	characteristic
443	#103	C₂³	1	1	yes	characteristic
444	#103	C₂³	1	1	yes	characteristic
445	#103	C₂³	1	1	yes	characteristic
446	#103	C₂³	1	1	yes	characteristic
447	#103	C₂³	1	1	yes	characteristic
448	#103	C₂³	1	1	yes	characteristic
449	#103	C₂³	1	1	yes	characteristic
450	#103	C₂³	1	1	yes	characteristic
451	#103	C₂³	1	1	yes	characteristic
452	#103	C₂³	1	1	yes	characteristic
453	#103	C₂³	1	1	yes	characteristic
454	#102	C₂³	1	1	yes	characteristic
455	#102	C₂³	1	1	yes	characteristic
456	#102	C₂³	1	1	yes	characteristic
457	#102	C₂³	1	1	yes	characteristic
458	#102	C₂³	1	1	yes	characteristic
459	#102	C₂³	1	1	yes	characteristic
460	#102	C₂³	1	1	yes	characteristic
461	#102	C₂³	1	1	yes	characteristic
462	#102	C₂³	1	1	yes	characteristic
463	#102	C₂³	1	1	yes	characteristic
464	#102	C₂³	1	1	yes	characteristic
465	#102	C₂³	1	1	yes	characteristic
466	#102	C₂³	1	1	yes	characteristic
467	#102	C₂³	1	1	yes	characteristic
468	#102	C₂³	1	1	yes	characteristic
469	#102	C₂³	1	1	yes	characteristic
470	#102	C₂³	1	1	yes	characteristic
471	#102	C₂³	1	1	yes	characteristic
472	#102	C₂³	1	1	yes	characteristic
473	#102	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	#97	C₂³	1	1	yes	characteristic
487	#97	C₂³	1	1	yes	characteristic
488	C₄×C₈	C₂³	1	1	yes	characteristic
489	C₄×C₈	C₂³	1	1	yes	characteristic
490	C₂⁴	—	2	1	no	—
491	C₂⁴	—	2	1	no	—
492	C₂⁴	—	2	1	no	—
493	C₂⁴	—	2	1	no	—
494	C₂⁴	—	2	1	no	—
495	C₂⁴	C₂×D₄	1	1	yes	characteristic
496	#41	—	2	2	no	—
497	#41	—	2	2	no	—
498	#41	—	2	2	no	—
499	#41	—	2	2	no	—
500	#41	—	2	2	no	—
501	#41	—	2	2	no	—
502	#41	—	4	1	no	—
503	#41	—	4	1	no	—
504	#41	—	4	1	no	—
505	#41	—	4	1	no	—
506	#41	—	4	1	no	—
507	#41	—	4	1	no	—
508	#41	—	4	1	no	—
509	#41	—	4	1	no	—
510	#41	—	4	4	no	—
511	#41	—	4	4	no	—
512	#41	—	4	1	no	—
513	#41	—	4	1	no	—
514	#41	—	4	1	no	—
515	#41	—	4	1	no	—
516	#41	—	4	4	no	—
517	C₂×Q₈	—	2	1	no	—
518	C₂×Q₈	—	2	1	no	—
519	C₂×Q₈	—	2	1	no	—
520	C₂×Q₈	—	2	1	no	—
521	C₂×Q₈	—	2	2	no	—
522	C₂×Q₈	—	4	1	no	—
523	C₂×Q₈	—	4	1	no	—
524	C₂×Q₈	—	4	1	no	—
525	C₂×Q₈	C₂×D₄	1	1	yes	characteristic
526	C₂×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×D₄	—	2	1	no	—
531	C₂×D₄	—	2	2	no	—
532	C₂×D₄	—	2	2	no	—
533	C₂×D₄	—	2	2	no	—
534	C₂×D₄	—	2	1	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	2	1	no	—
547	C₂×D₄	—	2	1	no	—
548	C₂×D₄	—	2	1	no	—
549	C₂×D₄	—	2	1	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	4	1	no	—
563	C₂×D₄	—	4	1	no	—
564	C₂×D₄	—	4	1	no	—
565	C₂×D₄	—	4	1	no	—
566	C₂×D₄	—	4	1	no	—
567	C₂×D₄	—	4	1	no	—
568	C₂×D₄	—	4	1	no	—
569	C₂×D₄	—	4	4	no	—
570	C₂×D₄	—	4	4	no	—
571	C₂×D₄	—	4	4	no	—
572	C₂×D₄	—	4	4	no	—
573	C₂×D₄	—	8	2	no	—
574	C₂×D₄	—	8	2	no	—
575	C₂×D₄	—	8	2	no	—
576	C₂×D₄	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄	C₂×D₄	1	1	yes	characteristic
579	C₂×D₄	C₂×D₄	1	1	yes	characteristic
580	C₂×D₄	C₂×D₄	1	1	yes	characteristic
581	C₂×D₄	C₂×D₄	1	1	yes	characteristic
582	C₂×D₄	C₂×D₄	1	1	yes	characteristic
583	C₂×D₄	C₂⁴	1	1	yes	characteristic
584	C₂×D₄	C₂⁴	1	1	yes	characteristic
585	C₂×D₄	C₂⁴	1	1	yes	characteristic
586	C₂×D₄	C₂⁴	1	1	yes	characteristic
587	C₂×D₄	C₂⁴	1	1	yes	characteristic
588	C₂×D₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄	—	2	1	no	—
590	C₂²×C₄	—	2	1	no	—
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	2	1	no	—
593	C₂²×C₄	—	2	1	no	—
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	1	no	—
600	C₂²×C₄	—	2	1	no	—
601	C₂²×C₄	—	2	1	no	—
602	C₂²×C₄	—	2	1	no	—
603	C₂²×C₄	—	2	1	no	—
604	C₂²×C₄	—	4	1	no	—
605	C₂²×C₄	—	4	1	no	—
606	C₂²×C₄	—	4	4	no	—
607	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
608	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
609	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
610	C₂²×C₄	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄	C₂⁴	1	1	yes	characteristic
615	Q₁₆	—	2	2	no	—
616	Q₁₆	—	2	2	no	—
617	Q₁₆	—	4	1	no	—
618	Q₁₆	—	4	1	no	—
619	SD₁₆	—	2	2	no	—
620	SD₁₆	—	2	2	no	—
621	SD₁₆	—	2	2	no	—
622	SD₁₆	—	2	2	no	—
623	SD₁₆	—	4	1	no	—
624	SD₁₆	—	4	1	no	—
625	SD₁₆	—	4	1	no	—
626	SD₁₆	—	4	1	no	—
627	SD₁₆	—	4	1	no	—
628	SD₁₆	—	4	1	no	—
629	SD₁₆	—	4	1	no	—
630	SD₁₆	—	4	1	no	—
631	D₈	—	2	2	no	—
632	D₈	—	2	2	no	—
633	D₈	—	4	1	no	—
634	D₈	—	4	1	no	—
635	D₈	—	4	1	no	—
636	D₈	—	4	1	no	—
637	D₈	—	4	1	no	—
638	D₈	—	4	1	no	—
639	M₁₆	—	4	1	no	—
640	M₁₆	—	4	1	no	—
641	M₁₆	—	4	1	no	—
642	M₁₆	—	4	1	no	—
643	C₂×C₈	—	4	1	no	—
644	C₂×C₈	—	4	1	no	—
645	C₂×C₈	—	4	1	no	—
646	C₂×C₈	—	4	1	no	—
647	C₂×C₈	C₂⁴	1	1	yes	characteristic
648	C₂×C₈	C₂⁴	1	1	yes	characteristic
649	C₂×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₈	C₂⁴	1	1	yes	characteristic
652	C₂×C₈	C₂⁴	1	1	yes	characteristic
653	C₂×C₈	C₂⁴	1	1	yes	characteristic
654	C₂×C₈	C₂⁴	1	1	yes	characteristic
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	2	1	no	—
658	C₄⋊C₄	—	2	1	no	—
659	C₄⋊C₄	—	2	1	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	—	2	1	no	—
662	C₄⋊C₄	—	2	1	no	—
663	C₄⋊C₄	—	2	1	no	—
664	C₄⋊C₄	—	2	1	no	—
665	C₄⋊C₄	—	2	1	no	—
666	C₄⋊C₄	—	2	1	no	—
667	C₄⋊C₄	—	2	1	no	—
668	C₄⋊C₄	—	2	1	no	—
669	C₄⋊C₄	—	2	1	no	—
670	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₂²⋊C₄	—	2	1	no	—
683	C₂²⋊C₄	—	2	1	no	—
684	C₂²⋊C₄	—	2	1	no	—
685	C₂²⋊C₄	—	2	1	no	—
686	C₂²⋊C₄	—	2	1	no	—
687	C₂²⋊C₄	—	2	1	no	—
688	C₂²⋊C₄	—	2	1	no	—
689	C₂²⋊C₄	—	2	1	no	—
690	C₂²⋊C₄	—	2	1	no	—
691	C₂²⋊C₄	—	2	1	no	—
692	C₂²⋊C₄	—	2	1	no	—
693	C₂²⋊C₄	—	2	1	no	—
694	C₂²⋊C₄	—	2	1	no	—
695	C₂²⋊C₄	—	2	1	no	—
696	C₂²⋊C₄	—	2	1	no	—
697	C₂²⋊C₄	—	2	1	no	—
698	C₂²⋊C₄	—	2	1	no	—
699	C₂²⋊C₄	—	2	1	no	—
700	C₂²⋊C₄	—	2	1	no	—
701	C₂²⋊C₄	—	2	1	no	—
702	C₂²⋊C₄	—	2	1	no	—
703	C₂²⋊C₄	—	2	1	no	—
704	C₂²⋊C₄	—	2	1	no	—
705	C₂²⋊C₄	—	2	1	no	—
706	C₂²⋊C₄	—	2	1	no	—
707	C₂²⋊C₄	—	2	1	no	—
708	C₂²⋊C₄	—	2	1	no	—
709	C₂²⋊C₄	—	2	1	no	—
710	C₂²⋊C₄	—	2	1	no	—
711	C₂²⋊C₄	—	2	1	no	—
712	C₂²⋊C₄	—	2	1	no	—
713	C₂²⋊C₄	—	2	1	no	—
714	C₂²⋊C₄	—	2	1	no	—
715	C₂²⋊C₄	—	2	1	no	—
716	C₂²⋊C₄	—	2	1	no	—
717	C₂²⋊C₄	—	2	1	no	—
718	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
720	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
725	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
728	C₄²	—	2	1	no	—
729	C₄²	—	2	1	no	—
730	C₄²	—	2	1	no	—
731	C₄²	—	2	1	no	—
732	C₄²	—	2	1	no	—
733	C₄²	—	2	1	no	—
734	C₄²	—	2	1	no	—
735	C₄²	—	2	1	no	—
736	C₄²	C₂⁴	1	1	yes	characteristic
737	C₄²	C₂⁴	1	1	yes	characteristic
738	C₂³	—	2	1	no	—
739	C₂³	—	2	1	no	—
740	C₂³	—	2	1	no	—
741	C₂³	—	2	1	no	—
742	C₂³	—	2	1	no	—
743	C₂³	—	2	1	no	—
744	C₂³	—	4	1	no	—
745	C₂³	—	4	1	no	—
746	C₂³	—	4	1	no	—
747	C₂³	—	4	2	no	—
748	C₂³	—	4	2	no	—
749	C₂³	—	4	2	no	—
750	C₂³	—	4	2	no	—
751	C₂³	—	4	2	no	—
752	C₂³	—	8	1	no	—
753	C₂³	—	8	1	no	—
754	C₂³	—	8	1	no	—
755	C₂³	—	8	1	no	—
756	C₂³	—	8	1	no	—
757	C₂³	—	8	1	no	—
758	C₂³	—	8	1	no	—
759	C₂³	—	8	1	no	—
760	C₂³	—	8	1	no	—
761	C₂³	—	8	1	no	—
762	C₂³	C₂²×D₄	1	1	yes	characteristic
763	C₂³	C₂²×D₄	1	1	yes	characteristic
764	C₂³	C₂²×D₄	1	1	yes	characteristic
765	C₂³	C₂²×D₄	1	1	yes	characteristic
766	C₂³	C₂²×D₄	1	1	yes	characteristic
767	Q₈	—	2	1	no	—
768	Q₈	—	2	1	no	—
769	Q₈	—	2	1	no	—
770	Q₈	—	2	1	no	—
771	Q₈	—	2	1	no	—
772	Q₈	—	2	1	no	—
773	Q₈	—	2	1	no	—
774	Q₈	—	4	1	no	—
775	Q₈	—	4	2	no	—
776	Q₈	—	8	1	no	—
777	Q₈	—	8	1	no	—
778	Q₈	—	8	1	no	—
779	Q₈	H(5,𝔽₂)	1	2	yes	—
780	D₄	—	2	4	no	—
781	D₄	—	2	1	no	—
782	D₄	—	2	1	no	—
783	D₄	—	2	1	no	—
784	D₄	—	2	1	no	—
785	D₄	—	2	1	no	—
786	D₄	—	2	1	no	—
787	D₄	—	2	1	no	—
788	D₄	—	2	1	no	—
789	D₄	—	2	1	no	—
790	D₄	—	2	1	no	—
791	D₄	—	2	1	no	—
792	D₄	—	4	1	no	—
793	D₄	—	4	1	no	—
794	D₄	—	4	1	no	—
795	D₄	—	4	1	no	—
796	D₄	—	4	1	no	—
797	D₄	—	4	1	no	—
798	D₄	—	4	1	no	—
799	D₄	—	4	2	no	—
800	D₄	—	4	2	no	—
801	D₄	—	4	2	no	—
802	D₄	—	4	2	no	—
803	D₄	—	4	2	no	—
804	D₄	—	4	2	no	—
805	D₄	—	4	2	no	—
806	D₄	—	4	2	no	—
807	D₄	—	4	2	no	—
808	D₄	—	4	2	no	—
809	D₄	—	4	2	no	—
810	D₄	—	8	1	no	—
811	D₄	—	8	1	no	—
812	D₄	—	8	1	no	—
813	D₄	—	8	1	no	—
814	D₄	—	8	1	no	—
815	D₄	—	8	1	no	—
816	D₄	—	8	1	no	—
817	D₄	—	8	1	no	—
818	D₄	—	8	1	no	—
819	D₄	—	8	1	no	—
820	D₄	—	8	1	no	—
821	D₄	—	8	1	no	—
822	D₄	—	8	1	no	—
823	D₄	—	8	1	no	—
824	D₄	—	8	1	no	—
825	D₄	—	8	1	no	—
826	D₄	—	8	1	no	—
827	D₄	H(5,𝔽₂)	1	2	yes	—
828	C₂×C₄	—	2	4	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	4	1	no	—
850	C₂×C₄	—	4	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	2	no	—
853	C₂×C₄	—	4	2	no	—
854	C₂×C₄	—	4	2	no	—
855	C₂×C₄	—	4	2	no	—
856	C₂×C₄	—	4	2	no	—
857	C₂×C₄	—	4	2	no	—
858	C₂×C₄	—	8	1	no	—
859	C₂×C₄	—	8	1	no	—
860	C₂×C₄	—	8	1	no	—
861	C₂×C₄	—	8	1	no	—
862	C₂×C₄	—	8	1	no	—
863	C₂×C₄	—	8	1	no	—
864	C₂×C₄	—	8	1	no	—
865	C₂×C₄	—	8	1	no	—
866	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
867	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
868	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
869	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
870	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
871	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
872	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
873	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
874	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
875	C₂×C₄	C₂⁵	1	1	yes	characteristic
876	C₈	—	2	1	no	—
877	C₈	—	2	1	no	—
878	C₈	—	2	1	no	—
879	C₈	—	2	1	no	—
880	C₈	—	2	1	no	—
881	C₈	—	2	1	no	—
882	C₈	—	2	1	no	—
883	C₈	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	1	no	—
887	C₂²	—	2	1	no	—
888	C₂²	—	2	1	no	—
889	C₂²	—	2	1	no	—
890	C₂²	—	2	1	no	—
891	C₂²	—	2	1	no	—
892	C₂²	—	2	1	no	—
893	C₂²	—	2	1	no	—
894	C₂²	—	2	1	no	—
895	C₂²	—	2	1	no	—
896	C₂²	—	2	2	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	4	1	no	—
901	C₂²	—	4	1	no	—
902	C₂²	—	4	1	no	—
903	C₂²	—	4	1	no	—
904	C₂²	—	4	1	no	—
905	C₂²	—	4	1	no	—
906	C₂²	—	4	1	no	—
907	C₂²	—	4	1	no	—
908	C₂²	—	4	1	no	—
909	C₂²	—	4	1	no	—
910	C₂²	—	4	1	no	—
911	C₂²	—	4	1	no	—
912	C₂²	—	4	1	no	—
913	C₂²	—	4	1	no	—
914	C₂²	—	4	1	no	—
915	C₂²	—	4	1	no	—
916	C₂²	—	4	1	no	—
917	C₂²	—	8	2	no	—
918	C₂²	—	8	4	no	—
919	C₂²	—	16	2	no	—
920	C₂²	—	16	2	no	—
921	C₂²	—	16	2	no	—
922	C₂²	—	16	2	no	—
923	C₂²	C₂³×D₄	1	1	yes	characteristic
924	C₄	—	2	1	no	—
925	C₄	—	2	1	no	—
926	C₄	—	2	1	no	—
927	C₄	—	2	1	no	—
928	C₄	—	2	1	no	—
929	C₄	—	2	2	no	—
930	C₄	—	2	1	no	—
931	C₄	—	2	1	no	—
932	C₄	—	2	1	no	—
933	C₄	—	2	1	no	—
934	C₄	—	4	1	no	—
935	C₄	—	4	1	no	—
936	C₄	—	4	1	no	—
937	C₄	—	4	1	no	—
938	C₄	—	4	1	no	—
939	C₄	—	4	1	no	—
940	C₄	—	4	1	no	—
941	C₄	—	4	1	no	—
942	C₄	—	4	1	no	—
943	C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
944	C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
945	C₂	—	4	1	no	—
946	C₂	—	4	1	no	—
947	C₂	—	4	1	no	—
948	C₂	—	4	1	no	—
949	C₂	—	4	1	no	—
950	C₂	—	4	2	no	—
951	C₂	—	8	1	no	—
952	C₂	—	8	1	no	—
953	C₂	—	8	1	no	—
954	C₂	—	8	1	no	—
955	C₂	—	8	1	no	—
956	C₂	#3484	1	1	yes	characteristic
957	C₂	#3584	1	1	yes	characteristic
958	C₂	#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #525 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3540	C₂	semidirect
2. #3488	C₂	semidirect
3. #3325	C₂	semidirect
4. #3324	C₂	semidirect
5. #3321	C₂	semidirect
6. #3319	C₂	semidirect
7. #3313	C₂	semidirect
8. #3311	C₂	semidirect
9. #3305	C₂	semidirect
10. #3304	C₂	semidirect
11. #3282	C₂	semidirect
12. #3280	C₂	semidirect
13. #3277	C₂	semidirect
14. #3275	C₂	semidirect
15. #3271	C₂	semidirect
16. #3268	C₂	semidirect
17. #3265	C₂	semidirect
18. #3264	C₂	semidirect
19. #3224	C₂	semidirect
20. #3224	C₂	semidirect
21. #3201	C₂	semidirect
22. #3198	C₂	semidirect
23. #3194	C₂	semidirect
24. #3188	C₂	semidirect
25. #3125	C₂	semidirect
26. #3124	C₂	semidirect
27. #3009	C₂	semidirect
28. #3008	C₂	semidirect
29. #3005	C₂	semidirect
30. #3002	C₂	semidirect
31. #2976	C₂	semidirect
33. C₂²×#41	C₂²	semidirect
34. C₂×#137	C₂²	semidirect
35. C₂×#137	C₂²	semidirect
36. C₂×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×#135	C₂²	semidirect
39. C₂×#135	C₂²	semidirect
40. C₂²×SD₁₆	C₂²	semidirect
41. C₂²×D₈	C₂²	semidirect
45. #556	C₂²	semidirect
46. #556	C₂²	semidirect
47. #555	C₂²	semidirect
48. #555	C₂²	semidirect
51. #550	C₂²	semidirect
53. #548	C₂²	semidirect
54. #548	C₂²	semidirect
55. #548	C₂²	semidirect
59. #546	C₂²	semidirect
60. #546	C₂²	semidirect
61. #546	C₂²	semidirect
65. D₄²	C₂²	semidirect
68. #542	C₂²	semidirect
69. #542	C₂²	semidirect
74. #536	C₂²	semidirect
76. #535	C₂²	semidirect
77. #535	C₂²	semidirect
80. #525	C₂²	semidirect
81. #525	C₂²	semidirect
83. C₂×#121	C₂²	semidirect
84. #520	C₂²	semidirect
85. #496	C₂²	semidirect
86. #496	C₂²	semidirect
87. #495	C₂²	semidirect
88. #495	C₂²	semidirect
89. #489	C₂²	semidirect
90. #489	C₂²	semidirect
91. #486	C₂²	semidirect
92. #486	C₂²	semidirect
93. #485	C₂²	semidirect
94. #485	C₂²	semidirect
95. #484	C₂²	semidirect
96. #483	C₂²	semidirect
97. #482	C₂²	semidirect
98. #482	C₂²	semidirect
99. #482	C₂²	semidirect
100. #482	C₂²	semidirect
101. #482	C₂²	semidirect
102. #482	C₂²	semidirect
103. #481	C₂²	semidirect
104. #480	C₂²	semidirect
105. #477	C₂²	semidirect
106. #476	C₂²	semidirect
107. #475	C₂²	semidirect
108. #474	C₂²	semidirect
109. #470	C₂²	semidirect
110. #469	C₂²	semidirect
111. #469	C₂²	semidirect
112. #469	C₂²	semidirect
113. #468	C₂²	semidirect
114. #468	C₂²	semidirect
115. #468	C₂²	semidirect
116. #468	C₂²	semidirect
117. #467	C₂²	semidirect
118. #466	C₂²	semidirect
119. #466	C₂²	semidirect
120. #466	C₂²	semidirect
121. #465	C₂²	semidirect
122. #465	C₂²	semidirect
123. #465	C₂²	semidirect
124. #465	C₂²	semidirect
125. #464	C₂²	semidirect
126. #464	C₂²	semidirect
127. #464	C₂²	semidirect
128. #464	C₂²	semidirect
129. #463	C₂²	semidirect
130. #463	C₂²	semidirect
131. #463	C₂²	semidirect
132. #463	C₂²	semidirect
133. #460	C₂²	semidirect
134. #460	C₂²	semidirect
135. #459	C₂²	semidirect
136. #459	C₂²	semidirect
137. #452	C₂²	semidirect
138. #452	C₂²	semidirect
139. #452	C₂²	semidirect
140. #452	C₂²	semidirect
141. #452	C₂²	semidirect
142. #452	C₂²	semidirect
143. #452	C₂²	semidirect
144. #452	C₂²	semidirect
145. #451	C₂²	semidirect
146. #451	C₂²	semidirect
147. #450	C₂²	semidirect
148. #450	C₂²	semidirect
149. #450	C₂²	semidirect
150. #450	C₂²	semidirect
151. #450	C₂²	semidirect
152. #450	C₂²	semidirect
155. #449	C₂²	semidirect
156. #449	C₂²	semidirect
157. #449	C₂²	semidirect
158. #449	C₂²	semidirect
159. #449	C₂²	semidirect
160. #449	C₂²	semidirect
161. #449	C₂²	semidirect
162. #449	C₂²	semidirect
163. #449	C₂²	semidirect
164. #449	C₂²	semidirect
165. #448	C₂²	semidirect
166. #448	C₂²	semidirect
167. #447	C₂²	semidirect
168. #447	C₂²	semidirect
169. #447	C₂²	semidirect
170. #447	C₂²	semidirect
171. #447	C₂²	semidirect
172. #447	C₂²	semidirect
173. #442	C₂²	semidirect
174. #441	C₂²	semidirect
175. #440	C₂²	semidirect
176. #440	C₂²	semidirect
177. C₄×Q₁₆	C₂²	semidirect
178. C₄×SD₁₆	C₂²	semidirect
179. C₄×SD₁₆	C₂²	semidirect
180. C₄×D₈	C₂²	semidirect
181. #436	C₂²	semidirect
182. #436	C₂²	semidirect
183. #435	C₂²	semidirect
184. #435	C₂²	semidirect
185. #435	C₂²	semidirect
186. #435	C₂²	semidirect
187. C₈×D₄	C₂²	semidirect
188. C₈×D₄	C₂²	semidirect
189. #433	C₂²	semidirect
190. #433	C₂²	semidirect
191. #419	C₂²	semidirect
192. #418	C₂²	semidirect
193. #418	C₂²	semidirect
194. #418	C₂²	semidirect
195. #416	C₂²	semidirect
196. #416	C₂²	semidirect
197. #416	C₂²	semidirect
198. #416	C₂²	semidirect
199. #408	C₂²	semidirect
200. #408	C₂²	semidirect
201. #407	C₂²	semidirect
202. C₂×C₂²⋊C₈	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3540	2
#3488	2
#3325	2
#3324	2
#3321	2
#3319	2
#3313	2
#3311	2
#3305	2
#3304	2
#3282	2
#3280	2
#3277	2
#3275	2
#3271	2
#3268	2
#3265	2
#3264	2
#3224	2
#3201	2
#3198	2
#3194	2
#3188	2
#3125	2
#3124	2
#3009	2
#3008	2
#3005	2
#3002	2
#2976	2