Subgroups — #61641

Order 256.

1053 conjugacy classes of subgroups.

The subgroup lattice has 950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	#3321	C₂	1	1	yes	maximal, characteristic, complemented
4	#3312	C₂	1	1	yes	maximal, characteristic, complemented
5	#3307	C₂	1	1	yes	maximal, characteristic, complemented
6	#3306	C₂	1	1	yes	maximal, characteristic, complemented
7	#3303	C₂	1	1	yes	maximal, characteristic, complemented
8	#3301	C₂	1	1	yes	maximal, characteristic, complemented
9	#3298	C₂	1	1	yes	maximal, characteristic, complemented
10	#3296	C₂	1	1	yes	maximal, characteristic, complemented
11	#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	#3282	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	#3280	C₂	1	1	yes	maximal, characteristic, complemented
15	#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	#3221	C₂	1	1	yes	maximal, characteristic, complemented
21	#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	#3190	C₂	1	1	yes	maximal, characteristic, complemented
24	#3187	C₂	1	1	yes	maximal, characteristic, complemented
25	#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	#3010	C₂	1	1	yes	maximal, characteristic, complemented
29	#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#449	C₂	1	1	yes	maximal, characteristic, complemented
31	#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂×#135	C₂²	1	1	yes	characteristic, complemented
38	C₂×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂²×SD₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₈	C₂²	1	1	yes	characteristic
42	#562	—	2	1	no	—
43	#560	—	2	1	no	—
44	#555	C₂²	1	1	yes	characteristic, complemented
45	#553	C₂²	1	1	yes	characteristic, complemented
46	#552	C₂²	1	1	yes	characteristic
47	#551	—	2	1	no	—
48	#550	C₂²	1	1	yes	characteristic, complemented
49	D₄×Q₈	C₂²	1	1	yes	characteristic
50	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
51	#548	C₂²	1	1	yes	characteristic, complemented
52	#548	C₂²	1	1	yes	characteristic, complemented
53	#547	—	2	1	no	—
54	#547	—	2	1	no	—
55	#547	C₂²	1	1	yes	characteristic
56	#547	C₂²	1	1	yes	characteristic, complemented
57	#547	C₂²	1	1	yes	characteristic, complemented
58	#546	—	2	1	no	—
59	#546	—	2	1	no	—
60	#546	—	2	1	no	—
61	#546	C₂²	1	1	yes	characteristic
62	#546	C₂²	1	1	yes	characteristic
63	#546	C₂²	1	1	yes	characteristic, complemented
64	#546	C₂²	1	1	yes	characteristic, complemented
65	D₄²	C₂²	1	1	yes	characteristic
66	#542	C₂²	1	1	yes	characteristic, complemented
67	#540	—	2	1	no	—
68	#540	C₂²	1	1	yes	characteristic, complemented
69	#538	—	2	1	no	—
70	#537	—	2	1	no	—
71	#537	C₂²	1	1	yes	characteristic, complemented
72	#537	C₂²	1	1	yes	characteristic, complemented
73	#536	—	2	1	no	—
74	#536	C₂²	1	1	yes	characteristic, complemented
75	#535	—	2	1	no	—
76	#535	C₂²	1	1	yes	characteristic, complemented
77	#534	—	2	1	no	—
78	#525	—	2	1	no	—
79	#525	C₂²	1	1	yes	characteristic
80	#525	C₂²	1	1	yes	characteristic
81	C₂×C₂²⋊Q₈	—	2	1	no	—
82	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
83	C₂×#121	C₂²	1	1	yes	characteristic
84	#520	C₂²	1	1	yes	characteristic, complemented
85	#497	C₂²	1	1	yes	characteristic, complemented
86	#496	C₂²	1	1	yes	characteristic, complemented
87	#495	C₂²	1	1	yes	characteristic, complemented
88	#492	C₂²	1	1	yes	characteristic, complemented
89	#491	C₂²	1	1	yes	characteristic, complemented
90	#489	C₂²	1	1	yes	characteristic, complemented
91	#488	C₂²	1	1	yes	characteristic, complemented
92	#487	C₂²	1	1	yes	characteristic, complemented
93	#485	C₂²	1	1	yes	characteristic, complemented
94	#485	C₂²	1	1	yes	characteristic, complemented
95	#485	C₂²	1	1	yes	characteristic, complemented
96	#483	C₂²	1	1	yes	characteristic, complemented
97	#483	C₂²	1	1	yes	characteristic, complemented
98	#483	C₂²	1	1	yes	characteristic, complemented
99	#483	C₂²	1	1	yes	characteristic, complemented
100	#482	C₂²	1	1	yes	characteristic, complemented
101	#481	C₂²	1	1	yes	characteristic, complemented
102	#481	C₂²	1	1	yes	characteristic, complemented
103	#481	C₂²	1	1	yes	characteristic, complemented
104	#480	C₂²	1	1	yes	characteristic, complemented
105	#479	C₂²	1	1	yes	characteristic, complemented
106	#478	C₂²	1	1	yes	characteristic, complemented
107	#476	C₂²	1	1	yes	characteristic, complemented
108	#475	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	#468	C₂²	1	1	yes	characteristic, complemented
113	#467	C₂²	1	1	yes	characteristic, complemented
114	#467	C₂²	1	1	yes	characteristic, complemented
115	#466	C₂²	1	1	yes	characteristic, complemented
116	#465	C₂²	1	1	yes	characteristic
117	#465	C₂²	1	1	yes	characteristic
118	#465	C₂²	1	1	yes	characteristic, complemented
119	#465	C₂²	1	1	yes	characteristic, complemented
120	#465	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	#463	C₂²	1	1	yes	characteristic, complemented
128	#463	C₂²	1	1	yes	characteristic, complemented
129	#463	C₂²	1	1	yes	characteristic, complemented
130	#463	C₂²	1	1	yes	characteristic, complemented
131	#462	C₂²	1	1	yes	characteristic, complemented
132	#461	C₂²	1	1	yes	characteristic, complemented
133	#461	C₂²	1	1	yes	characteristic, complemented
134	#461	C₂²	1	1	yes	characteristic, complemented
135	#460	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	#451	C₂²	1	1	yes	characteristic, complemented
144	#451	C₂²	1	1	yes	characteristic, complemented
145	#451	C₂²	1	1	yes	characteristic, complemented
146	#450	C₂²	1	1	yes	characteristic
147	#450	C₂²	1	1	yes	characteristic
148	#450	C₂²	1	1	yes	characteristic, complemented
149	#450	C₂²	1	1	yes	characteristic, complemented
150	#449	C₂²	1	1	yes	characteristic
151	#449	C₂²	1	1	yes	characteristic
152	#449	C₂²	1	1	yes	characteristic
153	#449	C₂²	1	1	yes	characteristic
154	#449	C₂²	1	1	yes	characteristic, complemented
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	#448	C₂²	1	1	yes	characteristic
165	#448	C₂²	1	1	yes	characteristic, complemented
166	#448	C₂²	1	1	yes	characteristic, complemented
167	#448	C₂²	1	1	yes	characteristic, complemented
168	#448	C₂²	1	1	yes	characteristic, complemented
169	#448	C₂²	1	1	yes	characteristic, complemented
170	#448	C₂²	1	1	yes	characteristic, complemented
171	#447	C₂²	1	1	yes	characteristic
172	#447	C₂²	1	1	yes	characteristic, complemented
173	#442	C₂²	1	1	yes	characteristic, complemented
174	#442	C₂²	1	1	yes	characteristic, complemented
175	#441	C₂²	1	1	yes	characteristic, complemented
176	#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×SD₁₆	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	#435	C₂²	1	1	yes	characteristic
182	#435	C₂²	1	1	yes	characteristic, complemented
183	#435	C₂²	1	1	yes	characteristic, complemented
184	#435	C₂²	1	1	yes	characteristic, complemented
185	C₈×D₄	C₂²	1	1	yes	characteristic
186	C₈×D₄	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	#417	C₂²	1	1	yes	characteristic, complemented
193	#416	C₂²	1	1	yes	characteristic, complemented
194	#416	C₂²	1	1	yes	characteristic, complemented
195	#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×#102	C₂²	1	1	yes	characteristic, complemented
199	#408	C₂²	1	1	yes	characteristic, complemented
200	#408	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	2₋¹⁺⁴	—	4	2	no	—
204	2₋¹⁺⁴	—	4	2	no	—
205	C₂×#41	—	2	1	no	—
206	C₂×#41	—	2	1	no	—
207	C₂×#41	—	2	1	no	—
208	C₂×#41	—	2	1	no	—
209	C₂×#41	—	2	1	no	—
210	C₂×#41	—	2	1	no	—
211	C₂×#41	—	4	2	no	—
212	C₂×#41	—	4	2	no	—
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	C₂×#41	C₂³	1	1	yes	characteristic
220	C₂×#41	C₂³	1	1	yes	characteristic
221	C₂×#41	C₂³	1	1	yes	characteristic
222	C₂²×Q₈	—	2	1	no	—
223	C₂²×Q₈	C₂³	1	1	yes	characteristic
224	C₂²×Q₈	C₂³	1	1	yes	characteristic
225	C₂²×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×Q₈	C₂³	1	1	yes	characteristic
227	C₂²×D₄	—	2	1	no	—
228	C₂²×D₄	—	2	1	no	—
229	C₂²×D₄	—	2	1	no	—
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	AGL(1,ℤ/8)	—	4	2	no	—
237	#135	—	4	2	no	—
238	#135	—	4	2	no	—
239	#135	—	4	2	no	—
240	C₂×Q₁₆	C₂³	1	1	yes	characteristic
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×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂×D₈	—	4	2	no	—
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	C₂²×C₈	C₂³	1	1	yes	characteristic
270	C₂²×C₈	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	—	2	1	no	—
277	C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	#127	—	2	1	no	—
281	#127	—	2	1	no	—
282	#127	C₂³	1	1	yes	characteristic
283	#126	—	2	1	no	—
284	#126	—	2	1	no	—
285	#126	—	2	1	no	—
286	#125	—	2	1	no	—
287	#125	C₂³	1	1	yes	characteristic
288	#124	—	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	C₂³	1	1	yes	characteristic
295	#124	C₂³	1	1	yes	characteristic
296	#124	C₂³	1	1	yes	characteristic
297	#123	—	2	1	no	—
298	#123	—	2	1	no	—
299	#123	—	2	1	no	—
300	#123	—	2	1	no	—
301	#123	—	2	1	no	—
302	#123	—	2	1	no	—
303	#123	—	2	1	no	—
304	#123	—	2	1	no	—
305	#123	—	2	1	no	—
306	#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
316	#123	D₄	1	1	yes	characteristic
317	C₂²⋊Q₈	—	2	1	no	—
318	C₂²⋊Q₈	—	2	1	no	—
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	—	2	1	no	—
327	C₂²⋊Q₈	—	2	1	no	—
328	C₂²⋊Q₈	—	2	1	no	—
329	C₂²⋊Q₈	—	2	1	no	—
330	C₂²⋊Q₈	—	2	1	no	—
331	C₂²⋊Q₈	D₄	1	1	yes	characteristic
332	C₂²⋊Q₈	D₄	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	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
360	#121	—	2	1	no	—
361	#121	—	2	1	no	—
362	#121	—	2	1	no	—
363	#121	—	2	1	no	—
364	#121	—	2	1	no	—
365	#121	D₄	1	1	yes	characteristic
366	#121	D₄	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	#121	C₂³	1	1	yes	characteristic
374	#121	C₂³	1	1	yes	characteristic
375	#121	C₂³	1	1	yes	characteristic
376	#121	C₂³	1	1	yes	characteristic
377	#121	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
390	C₄×Q₈	C₂³	1	1	yes	characteristic
391	C₄×Q₈	C₂³	1	1	yes	characteristic
392	C₄×D₄	—	2	1	no	—
393	C₄×D₄	—	2	1	no	—
394	C₄×D₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
403	C₄×D₄	C₂³	1	1	yes	characteristic
404	C₄×D₄	C₂³	1	1	yes	characteristic
405	C₄×D₄	C₂³	1	1	yes	characteristic
406	C₄×D₄	C₂³	1	1	yes	characteristic
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	#117	—	2	1	no	—
412	#117	—	2	1	no	—
413	#117	—	2	1	no	—
414	#117	C₂³	1	1	yes	characteristic
415	#117	C₂³	1	1	yes	characteristic
416	#117	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊C₄	—	2	1	no	—
418	C₂×C₄⋊C₄	—	2	1	no	—
419	C₂×C₄⋊C₄	—	2	1	no	—
420	C₂×C₄⋊C₄	—	2	1	no	—
421	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊C₄	—	2	1	no	—
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	#106	C₂³	1	1	yes	characteristic
433	#106	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	#103	C₂³	1	1	yes	characteristic
455	#103	C₂³	1	1	yes	characteristic
456	#103	C₂³	1	1	yes	characteristic
457	#103	C₂³	1	1	yes	characteristic
458	#103	C₂³	1	1	yes	characteristic
459	#103	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	C₂×D₄	1	1	yes	characteristic
494	#41	—	2	2	no	—
495	#41	—	2	2	no	—
496	#41	—	2	2	no	—
497	#41	—	2	2	no	—
498	#41	—	2	2	no	—
499	#41	—	2	2	no	—
500	#41	—	4	1	no	—
501	#41	—	4	1	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	4	no	—
509	#41	—	4	4	no	—
510	#41	—	4	1	no	—
511	#41	—	4	1	no	—
512	#41	—	4	1	no	—
513	#41	—	4	1	no	—
514	#41	—	4	4	no	—
515	#41	—	4	4	no	—
516	#41	—	4	4	no	—
517	#41	—	8	2	no	—
518	C₂×Q₈	—	2	1	no	—
519	C₂×Q₈	—	2	1	no	—
520	C₂×Q₈	—	2	1	no	—
521	C₂×Q₈	—	2	1	no	—
522	C₂×Q₈	—	2	1	no	—
523	C₂×Q₈	—	2	2	no	—
524	C₂×Q₈	—	2	2	no	—
525	C₂×Q₈	—	2	2	no	—
526	C₂×Q₈	—	4	1	no	—
527	C₂×Q₈	—	4	1	no	—
528	C₂×Q₈	—	4	1	no	—
529	C₂×Q₈	—	4	1	no	—
530	C₂×Q₈	—	4	1	no	—
531	C₂×Q₈	—	4	4	no	—
532	C₂×Q₈	C₂×D₄	1	1	yes	characteristic
533	C₂×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	2	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	—	2	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	4	no	—
569	C₂×D₄	—	8	2	no	—
570	C₂×D₄	—	8	2	no	—
571	C₂×D₄	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄	C₂⁴	1	1	yes	characteristic
579	C₂×D₄	C₂⁴	1	1	yes	characteristic
580	C₂×D₄	C₂⁴	1	1	yes	characteristic
581	C₂×D₄	C₂⁴	1	1	yes	characteristic
582	C₂×D₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	1	no	—
586	C₂²×C₄	—	2	1	no	—
587	C₂²×C₄	—	2	1	no	—
588	C₂²×C₄	—	2	1	no	—
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	—	4	1	no	—
604	C₂²×C₄	—	4	1	no	—
605	C₂²×C₄	—	4	4	no	—
606	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
607	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
608	C₂²×C₄	C₂×D₄	1	1	yes	characteristic
609	C₂²×C₄	C₂⁴	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	Q₁₆	—	2	2	no	—
615	Q₁₆	—	4	1	no	—
616	Q₁₆	—	4	1	no	—
617	Q₁₆	—	4	1	no	—
618	SD₁₆	—	2	2	no	—
619	SD₁₆	—	2	2	no	—
620	SD₁₆	—	2	2	no	—
621	SD₁₆	—	2	2	no	—
622	SD₁₆	—	4	1	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	SD₁₆	—	4	1	no	—
632	D₈	—	2	2	no	—
633	D₈	—	2	2	no	—
634	D₈	—	2	2	no	—
635	D₈	—	4	1	no	—
636	D₈	—	4	1	no	—
637	D₈	—	4	1	no	—
638	M₁₆	—	4	1	no	—
639	M₁₆	—	4	1	no	—
640	C₂×C₈	—	4	1	no	—
641	C₂×C₈	—	4	1	no	—
642	C₂×C₈	—	4	1	no	—
643	C₂×C₈	—	4	1	no	—
644	C₂×C₈	—	4	1	no	—
645	C₂×C₈	—	4	1	no	—
646	C₂×C₈	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	1	no	—
673	C₄⋊C₄	—	2	1	no	—
674	C₄⋊C₄	—	2	1	no	—
675	C₄⋊C₄	—	2	1	no	—
676	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
686	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
687	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
719	C₂²⋊C₄	—	2	1	no	—
720	C₂²⋊C₄	—	2	1	no	—
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	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
729	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
730	C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	2	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	2	no	—
747	C₂³	—	4	2	no	—
748	C₂³	—	4	2	no	—
749	C₂³	—	8	1	no	—
750	C₂³	—	8	1	no	—
751	C₂³	—	8	1	no	—
752	C₂³	—	8	1	no	—
753	C₂³	—	8	1	no	—
754	C₂³	—	8	1	no	—
755	C₂³	C₂²×D₄	1	1	yes	characteristic
756	C₂³	C₂²×D₄	1	1	yes	characteristic
757	C₂³	C₂²×D₄	1	1	yes	characteristic
758	C₂³	C₂²×D₄	1	1	yes	characteristic
759	C₂³	C₂²×D₄	1	1	yes	characteristic
760	Q₈	—	2	1	no	—
761	Q₈	—	2	1	no	—
762	Q₈	—	2	1	no	—
763	Q₈	—	2	1	no	—
764	Q₈	—	2	1	no	—
765	Q₈	—	2	1	no	—
766	Q₈	—	2	1	no	—
767	Q₈	—	2	1	no	—
768	Q₈	—	2	1	no	—
769	Q₈	—	4	1	no	—
770	Q₈	—	4	2	no	—
771	Q₈	—	4	2	no	—
772	Q₈	—	4	2	no	—
773	Q₈	—	4	2	no	—
774	Q₈	—	8	1	no	—
775	Q₈	H(5,𝔽₂)	1	2	yes	—
776	D₄	—	2	4	no	—
777	D₄	—	2	2	no	—
778	D₄	—	2	2	no	—
779	D₄	—	2	1	no	—
780	D₄	—	2	1	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	—	4	1	no	—
789	D₄	—	4	1	no	—
790	D₄	—	4	1	no	—
791	D₄	—	4	1	no	—
792	D₄	—	4	1	no	—
793	D₄	—	4	2	no	—
794	D₄	—	4	2	no	—
795	D₄	—	4	2	no	—
796	D₄	—	4	2	no	—
797	D₄	—	4	2	no	—
798	D₄	—	4	2	no	—
799	D₄	—	4	2	no	—
800	D₄	—	8	1	no	—
801	D₄	—	8	1	no	—
802	D₄	—	8	1	no	—
803	D₄	—	8	1	no	—
804	D₄	—	8	1	no	—
805	D₄	—	8	1	no	—
806	D₄	—	8	1	no	—
807	D₄	—	8	1	no	—
808	D₄	—	8	1	no	—
809	D₄	—	8	1	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	H(5,𝔽₂)	1	2	yes	—
817	C₂×C₄	—	2	4	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	1	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	—	4	1	no	—
840	C₂×C₄	—	4	1	no	—
841	C₂×C₄	—	4	1	no	—
842	C₂×C₄	—	4	2	no	—
843	C₂×C₄	—	4	2	no	—
844	C₂×C₄	—	4	2	no	—
845	C₂×C₄	—	4	2	no	—
846	C₂×C₄	—	4	2	no	—
847	C₂×C₄	—	4	2	no	—
848	C₂×C₄	—	4	2	no	—
849	C₂×C₄	—	4	2	no	—
850	C₂×C₄	—	4	2	no	—
851	C₂×C₄	—	4	2	no	—
852	C₂×C₄	—	8	1	no	—
853	C₂×C₄	—	8	1	no	—
854	C₂×C₄	—	8	1	no	—
855	C₂×C₄	—	8	1	no	—
856	C₂×C₄	—	8	1	no	—
857	C₂×C₄	—	8	1	no	—
858	C₂×C₄	—	8	1	no	—
859	C₂×C₄	—	8	1	no	—
860	C₂×C₄	—	8	1	no	—
861	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
871	C₈	—	2	1	no	—
872	C₈	—	2	1	no	—
873	C₈	—	2	1	no	—
874	C₈	—	2	1	no	—
875	C₈	—	2	1	no	—
876	C₈	—	2	1	no	—
877	C₈	—	2	1	no	—
878	C₈	—	2	1	no	—
879	C₂²	—	2	1	no	—
880	C₂²	—	2	1	no	—
881	C₂²	—	2	1	no	—
882	C₂²	—	2	1	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	2	1	no	—
885	C₂²	—	2	1	no	—
886	C₂²	—	2	2	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	—	4	1	no	—
895	C₂²	—	4	1	no	—
896	C₂²	—	4	1	no	—
897	C₂²	—	4	1	no	—
898	C₂²	—	4	1	no	—
899	C₂²	—	4	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	—	8	2	no	—
909	C₂²	—	8	4	no	—
910	C₂²	—	16	2	no	—
911	C₂²	—	16	2	no	—
912	C₂²	#577	1	2	yes	—
913	C₂²	C₂³×D₄	1	1	yes	characteristic
914	C₄	—	2	1	no	—
915	C₄	—	2	1	no	—
916	C₄	—	2	1	no	—
917	C₄	—	2	2	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	2	1	no	—
924	C₄	—	4	1	no	—
925	C₄	—	4	1	no	—
926	C₄	—	4	1	no	—
927	C₄	—	4	1	no	—
928	C₄	—	4	1	no	—
929	C₄	—	4	1	no	—
930	C₄	—	4	1	no	—
931	C₄	—	4	1	no	—
932	C₄	—	4	1	no	—
933	C₄	—	4	1	no	—
934	C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
935	C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
936	C₂	—	2	2	no	—
937	C₂	—	4	1	no	—
938	C₂	—	4	1	no	—
939	C₂	—	4	1	no	—
940	C₂	—	4	1	no	—
941	C₂	—	4	2	no	—
942	C₂	—	8	1	no	—
943	C₂	—	8	1	no	—
944	C₂	—	8	1	no	—
945	C₂	—	8	1	no	—
946	C₂	#3484	1	1	yes	characteristic
947	C₂	C₂×#577	1	1	yes	characteristic
948	C₂	#3584	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. #3542	C₂	semidirect
2. #3489	C₂	semidirect
3. #3321	C₂	semidirect
4. #3312	C₂	semidirect
5. #3307	C₂	semidirect
6. #3306	C₂	semidirect
7. #3303	C₂	semidirect
8. #3301	C₂	semidirect
9. #3298	C₂	semidirect
10. #3296	C₂	semidirect
11. #3284	C₂	semidirect
12. #3282	C₂	semidirect
13. D₄×SD₁₆	C₂	semidirect
14. #3280	C₂	semidirect
15. #3271	C₂	semidirect
16. #3267	C₂	semidirect
17. #3266	C₂	semidirect
18. #3264	C₂	semidirect
19. #3225	C₂	semidirect
20. #3221	C₂	semidirect
21. #3204	C₂	semidirect
22. #3198	C₂	semidirect
23. #3190	C₂	semidirect
24. #3187	C₂	semidirect
25. #3125	C₂	semidirect
26. #3119	C₂	semidirect
27. #3013	C₂	semidirect
28. #3010	C₂	semidirect
29. #3002	C₂	semidirect
30. C₂×#449	C₂	semidirect
31. #2977	C₂	semidirect
32. C₂×2₋¹⁺⁴	C₂²	semidirect
33. C₂²×#41	C₂²	semidirect
34. C₂×#137	C₂²	semidirect
35. C₂×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×#135	C₂²	semidirect
37. C₂×#135	C₂²	semidirect
38. C₂×#135	C₂²	semidirect
40. C₂²×SD₁₆	C₂²	semidirect
44. #555	C₂²	semidirect
45. #553	C₂²	semidirect
48. #550	C₂²	semidirect
50. D₄×Q₈	C₂²	semidirect
51. #548	C₂²	semidirect
52. #548	C₂²	semidirect
56. #547	C₂²	semidirect
57. #547	C₂²	semidirect
63. #546	C₂²	semidirect
64. #546	C₂²	semidirect
66. #542	C₂²	semidirect
68. #540	C₂²	semidirect
71. #537	C₂²	semidirect
72. #537	C₂²	semidirect
74. #536	C₂²	semidirect
76. #535	C₂²	semidirect
82. C₂×C₂²⋊Q₈	C₂²	semidirect
84. #520	C₂²	semidirect
85. #497	C₂²	semidirect
86. #496	C₂²	semidirect
87. #495	C₂²	semidirect
88. #492	C₂²	semidirect
89. #491	C₂²	semidirect
90. #489	C₂²	semidirect
91. #488	C₂²	semidirect
92. #487	C₂²	semidirect
93. #485	C₂²	semidirect
94. #485	C₂²	semidirect
95. #485	C₂²	semidirect
96. #483	C₂²	semidirect
97. #483	C₂²	semidirect
98. #483	C₂²	semidirect
99. #483	C₂²	semidirect
100. #482	C₂²	semidirect
101. #481	C₂²	semidirect
102. #481	C₂²	semidirect
103. #481	C₂²	semidirect
104. #480	C₂²	semidirect
105. #479	C₂²	semidirect
106. #478	C₂²	semidirect
107. #476	C₂²	semidirect
108. #475	C₂²	semidirect
109. #470	C₂²	semidirect
110. #469	C₂²	semidirect
111. #469	C₂²	semidirect
112. #468	C₂²	semidirect
113. #467	C₂²	semidirect
114. #467	C₂²	semidirect
115. #466	C₂²	semidirect
118. #465	C₂²	semidirect
119. #465	C₂²	semidirect
120. #465	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. #463	C₂²	semidirect
128. #463	C₂²	semidirect
129. #463	C₂²	semidirect
130. #463	C₂²	semidirect
131. #462	C₂²	semidirect
132. #461	C₂²	semidirect
133. #461	C₂²	semidirect
134. #461	C₂²	semidirect
135. #460	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. #451	C₂²	semidirect
144. #451	C₂²	semidirect
145. #451	C₂²	semidirect
148. #450	C₂²	semidirect
149. #450	C₂²	semidirect
154. #449	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
165. #448	C₂²	semidirect
166. #448	C₂²	semidirect
167. #448	C₂²	semidirect
168. #448	C₂²	semidirect
169. #448	C₂²	semidirect
170. #448	C₂²	semidirect
172. #447	C₂²	semidirect
173. #442	C₂²	semidirect
174. #442	C₂²	semidirect
175. #441	C₂²	semidirect
176. #440	C₂²	semidirect
177. C₄×SD₁₆	C₂²	semidirect
178. C₄×SD₁₆	C₂²	semidirect
179. C₄×SD₁₆	C₂²	semidirect
180. C₄×D₈	C₂²	semidirect
182. #435	C₂²	semidirect
183. #435	C₂²	semidirect
184. #435	C₂²	semidirect
186. C₈×D₄	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. #417	C₂²	semidirect
193. #416	C₂²	semidirect
194. #416	C₂²	semidirect
195. #416	C₂²	semidirect
196. C₂×#103	C₂²	semidirect
197. C₂×#103	C₂²	semidirect
198. C₂×#102	C₂²	semidirect
199. #408	C₂²	semidirect
200. #408	C₂²	semidirect
201. C₂×C₂²⋊C₈	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
#3542	2
#3489	2
#3321	2
#3312	2
#3307	2
#3306	2
#3303	2
#3301	2
#3298	2
#3296	2
#3284	2
#3282	2
D₄×SD₁₆	2
#3280	2
#3271	2
#3267	2
#3266	2
#3264	2
#3225	2
#3221	2
#3204	2
#3198	2
#3190	2
#3187	2
#3125	2
#3119	2
#3013	2
#3010	2
#3002	2
C₂×#449	2
#2977	2