Subgroups — #63018

Order 256.

3641 conjugacy classes of subgroups.

The subgroup lattice has 1353 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3562	C₂	1	2	yes	maximal, complemented
2	#3560	C₂	1	4	yes	maximal, complemented
3	#3559	C₂	1	2	yes	maximal, complemented
4	#3552	C₂	1	1	yes	maximal, characteristic, complemented
5	#3547	C₂	1	1	yes	maximal, characteristic, complemented
6	#3546	C₂	1	1	yes	maximal, characteristic, complemented
7	#3542	C₂	1	2	yes	maximal, complemented
8	#3541	C₂	1	2	yes	maximal, complemented
9	#3539	C₂	1	2	yes	maximal, complemented
10	#3537	C₂	1	2	yes	maximal, complemented
11	#3534	C₂	1	4	yes	maximal, complemented
12	#3533	C₂	1	4	yes	maximal, complemented
13	#3521	C₂	1	2	yes	maximal, complemented
14	#3519	C₂	1	1	yes	maximal, characteristic, complemented
15	#3519	C₂	1	1	yes	maximal, characteristic, complemented
16	#3519	C₂	1	2	yes	maximal, complemented
17	#3517	C₂	1	1	yes	maximal, characteristic, complemented
18	#3515	C₂	1	1	yes	maximal, characteristic, complemented
19	#3513	C₂	1	2	yes	maximal, complemented
20	#3513	C₂	1	4	yes	maximal, complemented
21	#3511	C₂	1	1	yes	maximal, characteristic, complemented
22	#3506	C₂	1	1	yes	maximal, characteristic, complemented
23	#3505	C₂	1	2	yes	maximal, complemented
24	#3496	C₂	1	1	yes	maximal, characteristic, complemented
25	#3494	C₂	1	2	yes	maximal, complemented
26	#3492	C₂	1	2	yes	maximal, complemented
27	#3488	C₂	1	2	yes	maximal, complemented
28	#3485	C₂	1	2	yes	maximal, complemented
29	#3481	C₂	1	1	yes	maximal, characteristic, complemented
30	#3481	C₂	1	1	yes	maximal, characteristic, complemented
31	#3475	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#553	C₂	1	2	yes	maximal, complemented
33	D₄×#41	C₂	1	2	yes	maximal, complemented
34	D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#547	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×H(5,𝔽₂)	C₂²	1	2	yes	complemented
37	C₂²×#41	C₂²	1	2	yes	complemented
38	C₂²×#41	C₂²	1	2	yes	complemented
39	#563	C₂²	1	4	yes	complemented
40	#563	C₂²	1	4	yes	complemented
41	#562	C₂²	1	4	yes	complemented
42	#562	C₂²	1	4	yes	complemented
43	#562	C₂²	1	4	yes	complemented
44	#560	C₂²	1	4	yes	complemented
45	#560	C₂²	1	4	yes	complemented
46	#560	C₂²	1	4	yes	complemented
47	#560	C₂²	1	4	yes	complemented
48	#559	C₂²	1	1	yes	characteristic, complemented
49	#559	C₂²	1	1	yes	characteristic, complemented
50	#559	C₂²	1	4	yes	complemented
51	#557	C₂²	1	1	yes	characteristic, complemented
52	#556	C₂²	1	1	yes	characteristic, complemented
53	#556	C₂²	1	2	yes	complemented
54	#556	C₂²	1	2	yes	complemented
55	#555	C₂²	1	1	yes	characteristic, complemented
56	#555	C₂²	1	2	yes	complemented
57	#555	C₂²	1	2	yes	complemented
58	#555	C₂²	1	1	yes	characteristic, complemented
59	#554	C₂²	1	1	yes	characteristic, complemented
60	#554	C₂²	1	1	yes	characteristic, complemented
61	#554	C₂²	1	1	yes	characteristic, complemented
62	#554	C₂²	1	1	yes	characteristic, complemented
63	#554	C₂²	1	1	yes	characteristic, complemented
64	#554	C₂²	1	4	yes	complemented
65	#554	C₂²	1	2	yes	complemented
66	#554	C₂²	1	2	yes	complemented
67	#554	C₂²	1	1	yes	characteristic, complemented
68	#553	C₂²	1	1	yes	characteristic, complemented
69	#553	C₂²	1	2	yes	complemented
70	#553	C₂²	1	2	yes	complemented
71	#553	C₂²	1	4	yes	complemented
72	#553	C₂²	1	2	yes	complemented
73	#553	C₂²	1	2	yes	complemented
74	#553	C₂²	1	4	yes	complemented
75	#553	C₂²	1	4	yes	complemented
76	#553	C₂²	1	2	yes	complemented
77	#553	C₂²	1	2	yes	complemented
78	#553	C₂²	1	2	yes	complemented
79	#553	C₂²	1	4	yes	complemented
80	#553	C₂²	1	2	yes	complemented
81	#553	C₂²	1	1	yes	characteristic, complemented
82	#553	C₂²	1	1	yes	characteristic, complemented
83	#553	C₂²	1	2	yes	complemented
84	#553	C₂²	1	1	yes	characteristic, complemented
85	#553	C₂²	1	2	yes	complemented
86	#553	C₂²	1	4	yes	complemented
87	#553	C₂²	1	2	yes	complemented
88	#553	C₂²	1	2	yes	complemented
89	#553	C₂²	1	2	yes	complemented
90	#553	C₂²	1	2	yes	complemented
91	#553	C₂²	1	2	yes	complemented
92	#553	C₂²	1	4	yes	complemented
93	#553	C₂²	1	4	yes	complemented
94	#553	C₂²	1	2	yes	complemented
95	#553	C₂²	1	4	yes	complemented
96	#552	C₂²	1	2	yes	complemented
97	#552	C₂²	1	2	yes	complemented
98	#552	C₂²	1	2	yes	complemented
99	#552	C₂²	1	4	yes	complemented
100	#552	C₂²	1	2	yes	complemented
101	#552	C₂²	1	2	yes	complemented
102	#552	C₂²	1	4	yes	complemented
103	#551	C₂²	1	4	yes	complemented
104	#551	C₂²	1	2	yes	complemented
105	#551	C₂²	1	2	yes	complemented
106	#551	C₂²	1	2	yes	complemented
107	#551	C₂²	1	2	yes	complemented
108	#551	C₂²	1	4	yes	complemented
109	#551	C₂²	1	4	yes	complemented
110	#551	C₂²	1	4	yes	complemented
111	#551	C₂²	1	4	yes	complemented
112	#551	C₂²	1	4	yes	complemented
113	#550	C₂²	1	1	yes	characteristic, complemented
114	#550	C₂²	1	2	yes	complemented
115	#550	C₂²	1	2	yes	complemented
116	#550	C₂²	1	2	yes	complemented
117	#550	C₂²	1	2	yes	complemented
118	#550	C₂²	1	1	yes	characteristic, complemented
119	D₄×Q₈	C₂²	1	2	yes	complemented
120	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
121	#548	C₂²	1	2	yes	complemented
122	#548	C₂²	1	2	yes	complemented
123	#548	C₂²	1	2	yes	complemented
124	#548	C₂²	1	2	yes	complemented
125	#548	C₂²	1	2	yes	complemented
126	#547	C₂²	1	1	yes	characteristic, complemented
127	#547	C₂²	1	2	yes	complemented
128	#547	C₂²	1	2	yes	complemented
129	#547	C₂²	1	1	yes	characteristic, complemented
130	#547	C₂²	1	1	yes	characteristic, complemented
131	#547	C₂²	1	4	yes	complemented
132	#547	C₂²	1	2	yes	complemented
133	#547	C₂²	1	2	yes	complemented
134	#547	C₂²	1	1	yes	characteristic, complemented
135	#547	C₂²	1	2	yes	complemented
136	#547	C₂²	1	2	yes	complemented
137	#547	C₂²	1	4	yes	complemented
138	#547	C₂²	1	4	yes	complemented
139	#547	C₂²	1	2	yes	complemented
140	#547	C₂²	1	4	yes	complemented
141	#547	C₂²	1	2	yes	complemented
142	#547	C₂²	1	2	yes	complemented
143	#547	C₂²	1	1	yes	characteristic, complemented
144	#546	C₂²	1	1	yes	characteristic, complemented
145	#546	C₂²	1	2	yes	complemented
146	#546	C₂²	1	2	yes	complemented
147	#546	C₂²	1	4	yes	complemented
148	#546	C₂²	1	4	yes	complemented
149	#546	C₂²	1	4	yes	complemented
150	#546	C₂²	1	2	yes	complemented
151	#546	C₂²	1	1	yes	characteristic, complemented
152	#546	C₂²	1	1	yes	characteristic, complemented
153	#546	C₂²	1	2	yes	complemented
154	#546	C₂²	1	2	yes	complemented
155	#546	C₂²	1	1	yes	characteristic, complemented
156	#546	C₂²	1	4	yes	complemented
157	#546	C₂²	1	2	yes	complemented
158	#546	C₂²	1	4	yes	complemented
159	#546	C₂²	1	2	yes	complemented
160	#546	C₂²	1	4	yes	complemented
161	#546	C₂²	1	4	yes	complemented
162	#546	C₂²	1	2	yes	complemented
163	#546	C₂²	1	4	yes	complemented
164	#546	C₂²	1	4	yes	complemented
165	#546	C₂²	1	4	yes	complemented
166	#546	C₂²	1	2	yes	complemented
167	#546	C₂²	1	2	yes	complemented
168	D₄²	C₂²	1	2	yes	complemented
169	D₄²	C₂²	1	1	yes	characteristic, complemented
170	D₄²	C₂²	1	4	yes	complemented
171	D₄²	C₂²	1	2	yes	complemented
172	D₄²	C₂²	1	1	yes	characteristic, complemented
173	D₄²	C₂²	1	1	yes	characteristic, complemented
174	D₄²	C₂²	1	4	yes	complemented
175	D₄²	C₂²	1	4	yes	complemented
176	D₄²	C₂²	1	2	yes	complemented
177	D₄²	C₂²	1	1	yes	characteristic, complemented
178	D₄²	C₂²	1	2	yes	complemented
179	#544	C₂²	1	2	yes	complemented
180	#544	C₂²	1	2	yes	complemented
181	#542	C₂²	1	4	yes	complemented
182	#542	C₂²	1	2	yes	complemented
183	#542	C₂²	1	2	yes	complemented
184	#542	C₂²	1	2	yes	complemented
185	#542	C₂²	1	4	yes	complemented
186	#542	C₂²	1	2	yes	complemented
187	#541	C₂²	1	2	yes	complemented
188	#541	C₂²	1	2	yes	complemented
189	#540	C₂²	1	4	yes	complemented
190	#540	C₂²	1	2	yes	complemented
191	#540	C₂²	1	4	yes	complemented
192	#540	C₂²	1	4	yes	complemented
193	#540	C₂²	1	2	yes	complemented
194	#540	C₂²	1	4	yes	complemented
195	#540	C₂²	1	2	yes	complemented
196	#540	C₂²	1	2	yes	complemented
197	#539	C₂²	1	4	yes	complemented
198	#539	C₂²	1	4	yes	complemented
199	#539	C₂²	1	4	yes	complemented
200	#539	C₂²	1	4	yes	complemented
201	#539	C₂²	1	4	yes	complemented
202	#539	C₂²	1	4	yes	complemented
203	#539	C₂²	1	4	yes	complemented
204	#539	C₂²	1	4	yes	complemented
205	#538	C₂²	1	4	yes	complemented
206	#538	C₂²	1	4	yes	complemented
207	#538	C₂²	1	4	yes	complemented
208	#538	C₂²	1	4	yes	complemented
209	#538	C₂²	1	4	yes	complemented
210	#538	C₂²	1	4	yes	complemented
211	#538	C₂²	1	4	yes	complemented
212	#538	C₂²	1	4	yes	complemented
213	#538	C₂²	1	4	yes	complemented
214	#538	C₂²	1	4	yes	complemented
215	#537	C₂²	1	2	yes	complemented
216	#537	C₂²	1	4	yes	complemented
217	#537	C₂²	1	2	yes	complemented
218	#537	C₂²	1	2	yes	complemented
219	#537	C₂²	1	2	yes	complemented
220	#536	C₂²	1	2	yes	complemented
221	#536	C₂²	1	2	yes	complemented
222	#535	C₂²	1	4	yes	complemented
223	#535	C₂²	1	2	yes	complemented
224	#535	C₂²	1	2	yes	complemented
225	#535	C₂²	1	2	yes	complemented
226	#534	C₂²	1	4	yes	complemented
227	#534	C₂²	1	4	yes	complemented
228	#534	C₂²	1	4	yes	complemented
229	#534	C₂²	1	4	yes	complemented
230	#533	C₂²	1	1	yes	characteristic, complemented
231	#533	C₂²	1	1	yes	characteristic, complemented
232	#532	C₂²	1	4	yes	complemented
233	#532	C₂²	1	1	yes	characteristic, complemented
234	#532	C₂²	1	2	yes	complemented
235	#532	C₂²	1	2	yes	complemented
236	#532	C₂²	1	1	yes	characteristic, complemented
237	#532	C₂²	1	1	yes	characteristic, complemented
238	#532	C₂²	1	1	yes	characteristic, complemented
239	#532	C₂²	1	1	yes	characteristic, complemented
240	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
241	#529	C₂²	1	2	yes	complemented
242	#529	C₂²	1	4	yes	complemented
243	#529	C₂²	1	2	yes	complemented
244	#529	C₂²	1	1	yes	characteristic, complemented
245	#529	C₂²	1	1	yes	characteristic, complemented
246	#529	C₂²	1	1	yes	characteristic, complemented
247	#529	C₂²	1	1	yes	characteristic, complemented
248	#529	C₂²	1	2	yes	complemented
249	#529	C₂²	1	4	yes	complemented
250	#529	C₂²	1	2	yes	complemented
251	#529	C₂²	1	2	yes	complemented
252	C₂×#126	C₂²	1	4	yes	complemented
253	C₂×#125	C₂²	1	2	yes	complemented
254	#525	C₂²	1	4	yes	complemented
255	#525	C₂²	1	2	yes	complemented
256	#525	C₂²	1	2	yes	complemented
257	#525	C₂²	1	4	yes	complemented
258	#525	C₂²	1	4	yes	complemented
259	#525	C₂²	1	2	yes	complemented
260	#525	C₂²	1	2	yes	complemented
261	#525	C₂²	1	2	yes	complemented
262	#525	C₂²	1	2	yes	complemented
263	#525	C₂²	1	2	yes	complemented
264	#525	C₂²	1	2	yes	complemented
265	#525	C₂²	1	2	yes	complemented
266	#525	C₂²	1	4	yes	complemented
267	#525	C₂²	1	2	yes	complemented
268	C₂×#123	C₂²	1	4	yes	complemented
269	C₂×#123	C₂²	1	4	yes	complemented
270	C₂×#123	C₂²	1	4	yes	complemented
271	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
272	C₂×#121	C₂²	1	2	yes	complemented
273	C₂×#121	C₂²	1	4	yes	complemented
274	C₂×#121	C₂²	1	2	yes	complemented
275	C₂×#121	C₂²	1	2	yes	complemented
276	C₂×#121	C₂²	1	2	yes	complemented
277	C₂×#121	C₂²	1	2	yes	complemented
278	#520	C₂²	1	2	yes	complemented
279	#520	C₂²	1	2	yes	complemented
280	#520	C₂²	1	2	yes	complemented
281	#520	C₂²	1	2	yes	complemented
282	#518	C₂²	1	2	yes	complemented
283	#518	C₂²	1	2	yes	complemented
284	#518	C₂²	1	4	yes	complemented
285	C₄×#41	C₂²	1	2	yes	complemented
286	C₄×#41	C₂²	1	1	yes	characteristic, complemented
287	C₄×#41	C₂²	1	1	yes	characteristic, complemented
288	C₄×#41	C₂²	1	1	yes	characteristic, complemented
289	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
290	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
291	C₂×C₄×D₄	C₂²	1	4	yes	complemented
292	C₂×C₄×D₄	C₂²	1	2	yes	complemented
293	C₂×C₄×D₄	C₂²	1	2	yes	complemented
294	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
295	C₂×C₄×D₄	C₂²	1	2	yes	complemented
296	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
297	C₂×#117	C₂²	1	2	yes	complemented
298	C₂²×C₄⋊C₄	C₂²	1	2	yes	complemented
299	H(5,𝔽₂)	—	4	8	no	—
300	C₂×#41	—	4	8	no	—
301	C₂×#41	—	4	8	no	—
302	C₂×#41	C₂³	1	2	yes	—
303	C₂×#41	C₂³	1	1	yes	characteristic
304	C₂×#41	C₂³	1	2	yes	—
305	C₂×#41	C₂³	1	1	yes	characteristic
306	C₂×#41	C₂³	1	1	yes	characteristic
307	C₂×#41	C₂³	1	2	yes	—
308	C₂×#41	C₂³	1	2	yes	—
309	C₂×#41	C₂³	1	2	yes	—
310	C₂×#41	C₂³	1	2	yes	—
311	C₂×#41	C₂³	1	4	yes	—
312	C₂×#41	C₂³	1	4	yes	—
313	C₂×#41	C₂³	1	4	yes	—
314	C₂×#41	C₂³	1	2	yes	—
315	C₂×#41	C₂³	1	2	yes	—
316	C₂×#41	C₂³	1	2	yes	—
317	C₂×#41	C₂³	1	2	yes	—
318	C₂×#41	C₂³	1	4	yes	—
319	C₂×#41	C₂³	1	2	yes	—
320	C₂×#41	C₂³	1	4	yes	—
321	C₂×#41	C₂³	1	2	yes	—
322	C₂²×Q₈	C₂³	1	2	yes	—
323	C₂²×Q₈	C₂³	1	2	yes	—
324	C₂²×D₄	C₂³	1	1	yes	characteristic
325	C₂²×D₄	C₂³	1	1	yes	characteristic
326	C₂²×D₄	C₂³	1	2	yes	—
327	C₂²×D₄	C₂³	1	1	yes	characteristic
328	C₂²×D₄	C₂³	1	2	yes	—
329	C₂²×D₄	C₂³	1	4	yes	—
330	C₂²×D₄	C₂³	1	2	yes	—
331	C₂²×D₄	C₂³	1	2	yes	—
332	C₂²×D₄	C₂³	1	1	yes	characteristic
333	C₂²×D₄	C₂³	1	4	yes	—
334	C₂²×D₄	C₂³	1	2	yes	—
335	C₂²×D₄	C₂³	1	4	yes	—
336	C₂²×D₄	C₂³	1	4	yes	—
337	C₂²×D₄	C₂³	1	4	yes	—
338	C₂²×D₄	C₂³	1	2	yes	—
339	C₂²×D₄	C₂³	1	4	yes	—
340	C₂²×D₄	C₂³	1	4	yes	—
341	C₂³×C₄	C₂³	1	2	yes	—
342	C₂³×C₄	C₂³	1	4	yes	—
343	C₂³×C₄	C₂³	1	2	yes	—
344	C₂³×C₄	C₂³	1	2	yes	—
345	C₂³×C₄	C₂³	1	4	yes	—
346	C₂³×C₄	C₂³	1	2	yes	—
347	C₄⋊Q₈	C₂³	1	1	yes	characteristic
348	C₄⋊Q₈	C₂³	1	1	yes	characteristic
349	C₄⋊Q₈	C₂³	1	2	yes	—
350	C₄⋊Q₈	C₂³	1	2	yes	—
351	C₄⋊Q₈	C₂³	1	2	yes	—
352	C₄⋊Q₈	C₂³	1	1	yes	characteristic
353	C₄⋊Q₈	C₂³	1	2	yes	—
354	C₄⋊Q₈	C₂³	1	1	yes	characteristic
355	C₄⋊Q₈	C₂³	1	4	yes	—
356	C₄⋊Q₈	C₂³	1	1	yes	characteristic
357	C₄⋊Q₈	C₂³	1	2	yes	—
358	C₄⋊Q₈	C₂³	1	4	yes	—
359	#127	C₂³	1	1	yes	characteristic
360	#127	C₂³	1	1	yes	characteristic
361	#127	C₂³	1	2	yes	—
362	#127	C₂³	1	4	yes	—
363	#127	C₂³	1	1	yes	characteristic
364	#127	C₂³	1	2	yes	—
365	#127	C₂³	1	4	yes	—
366	#127	C₂³	1	4	yes	—
367	#126	C₂³	1	2	yes	—
368	#126	C₂³	1	4	yes	—
369	#126	C₂³	1	4	yes	—
370	#126	C₂³	1	4	yes	—
371	#126	C₂³	1	4	yes	—
372	#126	C₂³	1	4	yes	—
373	#126	C₂³	1	4	yes	—
374	#126	C₂³	1	4	yes	—
375	#126	C₂³	1	2	yes	—
376	#126	C₂³	1	4	yes	—
377	#126	C₂³	1	2	yes	—
378	#126	C₂³	1	2	yes	—
379	#126	C₂³	1	2	yes	—
380	#126	C₂³	1	4	yes	—
381	#126	C₂³	1	4	yes	—
382	#126	C₂³	1	4	yes	—
383	#126	C₂³	1	2	yes	—
384	#126	C₂³	1	2	yes	—
385	#126	C₂³	1	2	yes	—
386	#126	C₂³	1	4	yes	—
387	#126	C₂³	1	4	yes	—
388	#126	C₂³	1	4	yes	—
389	#126	C₂³	1	4	yes	—
390	#126	C₂³	1	4	yes	—
391	#126	C₂³	1	4	yes	—
392	#125	C₂³	1	1	yes	characteristic
393	#125	C₂³	1	2	yes	—
394	#125	C₂³	1	4	yes	—
395	#125	C₂³	1	4	yes	—
396	#125	C₂³	1	2	yes	—
397	#125	C₂³	1	2	yes	—
398	#125	C₂³	1	1	yes	characteristic
399	#125	C₂³	1	4	yes	—
400	#125	C₂³	1	2	yes	—
401	#125	C₂³	1	4	yes	—
402	#125	C₂³	1	2	yes	—
403	#125	C₂³	1	2	yes	—
404	#125	C₂³	1	1	yes	characteristic
405	#125	C₂³	1	1	yes	characteristic
406	#125	C₂³	1	2	yes	—
407	#125	C₂³	1	4	yes	—
408	#125	C₂³	1	4	yes	—
409	#125	C₂³	1	4	yes	—
410	#125	C₂³	1	4	yes	—
411	#124	C₂³	1	1	yes	characteristic
412	#124	C₂³	1	2	yes	—
413	#124	C₂³	1	1	yes	characteristic
414	#124	C₂³	1	2	yes	—
415	#124	C₂³	1	4	yes	—
416	#124	C₂³	1	1	yes	characteristic
417	#124	C₂³	1	2	yes	—
418	#124	C₂³	1	4	yes	—
419	#124	C₂³	1	2	yes	—
420	#124	C₂³	1	1	yes	characteristic
421	#124	C₂³	1	2	yes	—
422	#124	C₂³	1	2	yes	—
423	#124	C₂³	1	4	yes	—
424	#124	C₂³	1	2	yes	—
425	#124	C₂³	1	4	yes	—
426	#124	C₂³	1	4	yes	—
427	#124	C₂³	1	2	yes	—
428	#124	C₂³	1	4	yes	—
429	#124	C₂³	1	4	yes	—
430	#124	C₂³	1	4	yes	—
431	#124	C₂³	1	4	yes	—
432	#124	C₂³	1	4	yes	—
433	#123	C₂³	1	4	yes	—
434	#123	C₂³	1	2	yes	—
435	#123	C₂³	1	2	yes	—
436	#123	C₂³	1	4	yes	—
437	#123	C₂³	1	2	yes	—
438	#123	C₂³	1	4	yes	—
439	#123	C₂³	1	4	yes	—
440	#123	C₂³	1	4	yes	—
441	#123	C₂³	1	4	yes	—
442	#123	C₂³	1	4	yes	—
443	#123	C₂³	1	4	yes	—
444	#123	C₂³	1	4	yes	—
445	#123	C₂³	1	4	yes	—
446	#123	C₂³	1	4	yes	—
447	#123	C₂³	1	4	yes	—
448	#123	C₂³	1	4	yes	—
449	#123	C₂³	1	4	yes	—
450	#123	C₂³	1	4	yes	—
451	#123	C₂³	1	4	yes	—
452	#123	C₂³	1	4	yes	—
453	#123	C₂³	1	4	yes	—
454	#123	C₂³	1	4	yes	—
455	#123	C₂³	1	4	yes	—
456	#123	C₂³	1	2	yes	—
457	#123	C₂³	1	4	yes	—
458	#123	C₂³	1	4	yes	—
459	#123	C₂³	1	4	yes	—
460	#123	C₂³	1	2	yes	—
461	#123	C₂³	1	4	yes	—
462	#123	C₂³	1	4	yes	—
463	#123	C₂³	1	2	yes	—
464	#123	C₂³	1	2	yes	—
465	#123	C₂³	1	2	yes	—
466	#123	C₂³	1	4	yes	—
467	#123	C₂³	1	4	yes	—
468	#123	C₂³	1	2	yes	—
469	#123	C₂³	1	2	yes	—
470	#123	C₂³	1	4	yes	—
471	#123	C₂³	1	4	yes	—
472	#123	C₂³	1	2	yes	—
473	#123	C₂³	1	2	yes	—
474	#123	C₂³	1	2	yes	—
475	#123	C₂³	1	2	yes	—
476	#123	C₂³	1	2	yes	—
477	#123	C₂³	1	2	yes	—
478	#123	C₂³	1	4	yes	—
479	#123	C₂³	1	4	yes	—
480	#123	C₂³	1	4	yes	—
481	#123	C₂³	1	4	yes	—
482	#123	C₂³	1	4	yes	—
483	#123	C₂³	1	4	yes	—
484	#123	C₂³	1	4	yes	—
485	#123	C₂³	1	4	yes	—
486	#123	C₂³	1	4	yes	—
487	#123	C₂³	1	4	yes	—
488	C₂²⋊Q₈	C₂³	1	2	yes	—
489	C₂²⋊Q₈	C₂³	1	2	yes	—
490	C₂²⋊Q₈	C₂³	1	2	yes	—
491	C₂²⋊Q₈	C₂³	1	2	yes	—
492	C₂²⋊Q₈	C₂³	1	4	yes	—
493	C₂²⋊Q₈	C₂³	1	4	yes	—
494	C₂²⋊Q₈	C₂³	1	2	yes	—
495	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
496	C₂²⋊Q₈	C₂³	1	2	yes	—
497	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
498	C₂²⋊Q₈	C₂³	1	2	yes	—
499	C₂²⋊Q₈	C₂³	1	2	yes	—
500	C₂²⋊Q₈	C₂³	1	2	yes	—
501	C₂²⋊Q₈	C₂³	1	4	yes	—
502	C₂²⋊Q₈	C₂³	1	2	yes	—
503	C₂²⋊Q₈	C₂³	1	2	yes	—
504	C₂²⋊Q₈	C₂³	1	2	yes	—
505	C₂²⋊Q₈	C₂³	1	2	yes	—
506	C₂²⋊Q₈	C₂³	1	2	yes	—
507	C₂²⋊Q₈	C₂³	1	2	yes	—
508	C₂²⋊Q₈	C₂³	1	4	yes	—
509	C₂²⋊Q₈	C₂³	1	2	yes	—
510	C₂²⋊Q₈	C₂³	1	2	yes	—
511	C₂²⋊Q₈	C₂³	1	4	yes	—
512	C₂²⋊Q₈	C₂³	1	4	yes	—
513	C₂²⋊Q₈	C₂³	1	4	yes	—
514	C₂²⋊Q₈	C₂³	1	4	yes	—
515	C₂²⋊Q₈	C₂³	1	4	yes	—
516	C₂²⋊Q₈	C₂³	1	2	yes	—
517	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
518	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
519	C₂²⋊Q₈	C₂³	1	4	yes	—
520	C₂²⋊Q₈	C₂³	1	2	yes	—
521	C₂²⋊Q₈	C₂³	1	2	yes	—
522	C₂²⋊Q₈	C₂³	1	2	yes	—
523	C₂²⋊Q₈	C₂³	1	2	yes	—
524	C₂²⋊Q₈	C₂³	1	2	yes	—
525	C₂²⋊Q₈	C₂³	1	4	yes	—
526	C₂²⋊Q₈	C₂³	1	4	yes	—
527	C₂²⋊Q₈	C₂³	1	4	yes	—
528	C₂²⋊Q₈	C₂³	1	4	yes	—
529	C₂²⋊Q₈	C₂³	1	4	yes	—
530	C₂²⋊Q₈	C₂³	1	4	yes	—
531	C₂²⋊Q₈	C₂³	1	4	yes	—
532	C₂²⋊Q₈	C₂³	1	4	yes	—
533	#121	C₂³	1	4	yes	—
534	#121	C₂³	1	2	yes	—
535	#121	C₂³	1	2	yes	—
536	#121	C₂³	1	1	yes	characteristic
537	#121	C₂³	1	1	yes	characteristic
538	#121	C₂³	1	1	yes	characteristic
539	#121	C₂³	1	1	yes	characteristic
540	#121	C₂³	1	2	yes	—
541	#121	C₂³	1	2	yes	—
542	#121	C₂³	1	2	yes	—
543	#121	C₂³	1	2	yes	—
544	#121	C₂³	1	2	yes	—
545	#121	C₂³	1	2	yes	—
546	#121	C₂³	1	2	yes	—
547	#121	C₂³	1	4	yes	—
548	#121	C₂³	1	4	yes	—
549	#121	C₂³	1	4	yes	—
550	#121	C₂³	1	4	yes	—
551	#121	C₂³	1	4	yes	—
552	#121	C₂³	1	4	yes	—
553	#121	C₂³	1	4	yes	—
554	#121	C₂³	1	4	yes	—
555	#121	C₂³	1	4	yes	—
556	#121	C₂³	1	2	yes	—
557	#121	C₂³	1	2	yes	—
558	#121	C₂³	1	2	yes	—
559	#121	C₂³	1	2	yes	—
560	#121	C₂³	1	2	yes	—
561	#121	C₂³	1	4	yes	—
562	#121	C₂³	1	2	yes	—
563	#121	C₂³	1	4	yes	—
564	#121	C₂³	1	4	yes	—
565	#121	C₂³	1	4	yes	—
566	#121	C₂³	1	4	yes	—
567	#121	C₂³	1	4	yes	—
568	#121	C₂³	1	1	yes	characteristic
569	#121	C₂³	1	1	yes	characteristic
570	#121	C₂³	1	2	yes	—
571	#121	C₂³	1	2	yes	—
572	#121	C₂³	1	2	yes	—
573	#121	C₂³	1	4	yes	—
574	#121	C₂³	1	4	yes	—
575	#121	C₂³	1	2	yes	—
576	#121	C₂³	1	2	yes	—
577	#121	C₂³	1	4	yes	—
578	#121	C₂³	1	2	yes	—
579	#121	C₂³	1	2	yes	—
580	#121	C₂³	1	2	yes	—
581	#121	C₂³	1	4	yes	—
582	#121	C₂³	1	4	yes	—
583	#121	C₂³	1	4	yes	—
584	#121	C₂³	1	4	yes	—
585	#121	C₂³	1	2	yes	—
586	#121	C₂³	1	2	yes	—
587	#121	C₂³	1	2	yes	—
588	#121	C₂³	1	4	yes	—
589	#121	C₂³	1	1	yes	characteristic
590	#121	C₂³	1	2	yes	—
591	#121	C₂³	1	1	yes	characteristic
592	#121	C₂³	1	2	yes	—
593	#121	C₂³	1	2	yes	—
594	#121	C₂³	1	2	yes	—
595	#121	C₂³	1	4	yes	—
596	#121	C₂³	1	2	yes	—
597	#121	C₂³	1	4	yes	—
598	#121	C₂³	1	4	yes	—
599	#121	C₂³	1	2	yes	—
600	#121	C₂³	1	2	yes	—
601	#121	C₂³	1	4	yes	—
602	#121	C₂³	1	4	yes	—
603	#121	C₂³	1	4	yes	—
604	#121	C₂³	1	4	yes	—
605	#121	C₂³	1	4	yes	—
606	#121	C₂³	1	4	yes	—
607	#121	C₂³	1	4	yes	—
608	#121	C₂³	1	4	yes	—
609	#121	C₂³	1	4	yes	—
610	#121	C₂³	1	4	yes	—
611	#121	C₂³	1	4	yes	—
612	#121	C₂³	1	4	yes	—
613	#121	C₂³	1	4	yes	—
614	#121	C₂³	1	4	yes	—
615	#120	C₂³	1	2	yes	—
616	#120	C₂³	1	2	yes	—
617	#120	C₂³	1	4	yes	—
618	#120	C₂³	1	4	yes	—
619	#120	C₂³	1	2	yes	—
620	#120	C₂³	1	2	yes	—
621	#120	C₂³	1	2	yes	—
622	#120	C₂³	1	4	yes	—
623	#120	C₂³	1	4	yes	—
624	#120	C₂³	1	4	yes	—
625	#120	C₂³	1	4	yes	—
626	#120	C₂³	1	2	yes	—
627	#120	C₂³	1	4	yes	—
628	#120	C₂³	1	4	yes	—
629	#120	C₂³	1	4	yes	—
630	#120	C₂³	1	2	yes	—
631	#120	C₂³	1	4	yes	—
632	#120	C₂³	1	2	yes	—
633	#120	C₂³	1	4	yes	—
634	#120	C₂³	1	4	yes	—
635	#120	C₂³	1	4	yes	—
636	#120	C₂³	1	4	yes	—
637	#120	C₂³	1	4	yes	—
638	#120	C₂³	1	4	yes	—
639	C₄×Q₈	C₂³	1	1	yes	characteristic
640	C₄×Q₈	C₂³	1	1	yes	characteristic
641	C₄×Q₈	C₂³	1	1	yes	characteristic
642	C₄×Q₈	C₂³	1	1	yes	characteristic
643	C₄×Q₈	C₂³	1	1	yes	characteristic
644	C₄×Q₈	C₂³	1	2	yes	—
645	C₄×Q₈	C₂³	1	1	yes	characteristic
646	C₄×Q₈	C₂³	1	2	yes	—
647	C₄×Q₈	C₂³	1	2	yes	—
648	C₄×Q₈	C₂³	1	2	yes	—
649	C₄×Q₈	C₂³	1	2	yes	—
650	C₄×Q₈	C₂³	1	4	yes	—
651	C₄×Q₈	C₂³	1	2	yes	—
652	C₄×Q₈	C₂³	1	2	yes	—
653	C₄×D₄	C₂³	1	2	yes	—
654	C₄×D₄	C₂³	1	1	yes	characteristic
655	C₄×D₄	C₂³	1	1	yes	characteristic
656	C₄×D₄	C₂³	1	1	yes	characteristic
657	C₄×D₄	C₂³	1	1	yes	characteristic
658	C₄×D₄	C₂³	1	1	yes	characteristic
659	C₄×D₄	C₂³	1	1	yes	characteristic
660	C₄×D₄	C₂³	1	1	yes	characteristic
661	C₄×D₄	C₂³	1	1	yes	characteristic
662	C₄×D₄	C₂³	1	2	yes	—
663	C₄×D₄	C₂³	1	4	yes	—
664	C₄×D₄	C₂³	1	2	yes	—
665	C₄×D₄	C₂³	1	4	yes	—
666	C₄×D₄	C₂³	1	2	yes	—
667	C₄×D₄	C₂³	1	2	yes	—
668	C₄×D₄	C₂³	1	4	yes	—
669	C₄×D₄	C₂³	1	2	yes	—
670	C₄×D₄	C₂³	1	4	yes	—
671	C₄×D₄	C₂³	1	2	yes	—
672	C₄×D₄	C₂³	1	2	yes	—
673	C₄×D₄	C₂³	1	2	yes	—
674	C₄×D₄	C₂³	1	2	yes	—
675	C₄×D₄	C₂³	1	2	yes	—
676	C₄×D₄	C₂³	1	2	yes	—
677	C₄×D₄	C₂³	1	2	yes	—
678	C₄×D₄	C₂³	1	2	yes	—
679	C₄×D₄	C₂³	1	2	yes	—
680	C₄×D₄	C₂³	1	1	yes	characteristic
681	C₄×D₄	C₂³	1	1	yes	characteristic
682	C₄×D₄	C₂³	1	1	yes	characteristic
683	C₄×D₄	C₂³	1	1	yes	characteristic
684	C₄×D₄	C₂³	1	2	yes	—
685	C₄×D₄	C₂³	1	2	yes	—
686	C₄×D₄	C₂³	1	1	yes	characteristic
687	C₄×D₄	C₂³	1	2	yes	—
688	C₄×D₄	C₂³	1	1	yes	characteristic
689	C₄×D₄	C₂³	1	2	yes	—
690	C₄×D₄	C₂³	1	4	yes	—
691	C₄×D₄	C₂³	1	2	yes	—
692	C₄×D₄	C₂³	1	2	yes	—
693	C₄×D₄	C₂³	1	2	yes	—
694	C₄×D₄	C₂³	1	2	yes	—
695	C₄×D₄	C₂³	1	4	yes	—
696	C₄×D₄	C₂³	1	4	yes	—
697	C₄×D₄	C₂³	1	4	yes	—
698	C₄×D₄	C₂³	1	1	yes	characteristic
699	C₄×D₄	C₂³	1	1	yes	characteristic
700	C₄×D₄	C₂³	1	2	yes	—
701	C₄×D₄	C₂³	1	2	yes	—
702	C₄×D₄	C₂³	1	4	yes	—
703	C₄×D₄	C₂³	1	2	yes	—
704	C₄×D₄	C₂³	1	1	yes	characteristic
705	C₄×D₄	C₂³	1	2	yes	—
706	C₄×D₄	C₂³	1	1	yes	characteristic
707	C₄×D₄	C₂³	1	1	yes	characteristic
708	C₄×D₄	C₂³	1	1	yes	characteristic
709	C₄×D₄	C₂³	1	2	yes	—
710	C₄×D₄	C₂³	1	1	yes	characteristic
711	C₄×D₄	C₂³	1	4	yes	—
712	C₄×D₄	C₂³	1	4	yes	—
713	C₄×D₄	C₂³	1	2	yes	—
714	C₄×D₄	C₂³	1	1	yes	characteristic
715	C₄×D₄	C₂³	1	2	yes	—
716	C₄×D₄	C₂³	1	4	yes	—
717	C₄×D₄	C₂³	1	4	yes	—
718	C₄×D₄	C₂³	1	4	yes	—
719	C₄×D₄	C₂³	1	4	yes	—
720	C₄×D₄	C₂³	1	4	yes	—
721	C₄×D₄	C₂³	1	4	yes	—
722	C₄×D₄	C₂³	1	4	yes	—
723	C₄×D₄	C₂³	1	4	yes	—
724	C₄×D₄	C₂³	1	4	yes	—
725	C₄×D₄	C₂³	1	2	yes	—
726	C₄×D₄	C₂³	1	4	yes	—
727	C₄×D₄	C₂³	1	2	yes	—
728	C₄×D₄	C₂³	1	2	yes	—
729	C₄×D₄	C₂³	1	2	yes	—
730	C₄×D₄	C₂³	1	2	yes	—
731	C₄×D₄	C₂³	1	4	yes	—
732	C₄×D₄	C₂³	1	4	yes	—
733	C₄×D₄	C₂³	1	4	yes	—
734	C₄×D₄	C₂³	1	4	yes	—
735	C₄×D₄	C₂³	1	4	yes	—
736	C₄×D₄	C₂³	1	4	yes	—
737	C₄×D₄	C₂³	1	4	yes	—
738	C₄×D₄	C₂³	1	4	yes	—
739	C₄×D₄	C₂³	1	2	yes	—
740	C₄×D₄	C₂³	1	2	yes	—
741	#117	C₂³	1	1	yes	characteristic
742	#117	C₂³	1	2	yes	—
743	#117	C₂³	1	2	yes	—
744	#117	C₂³	1	4	yes	—
745	#117	C₂³	1	2	yes	—
746	#117	C₂³	1	4	yes	—
747	#117	C₂³	1	1	yes	characteristic
748	#117	C₂³	1	2	yes	—
749	#117	C₂³	1	4	yes	—
750	#117	C₂³	1	1	yes	characteristic
751	#117	C₂³	1	2	yes	—
752	#117	C₂³	1	2	yes	—
753	#117	C₂³	1	1	yes	characteristic
754	#117	C₂³	1	1	yes	characteristic
755	#117	C₂³	1	2	yes	—
756	#117	C₂³	1	2	yes	—
757	#117	C₂³	1	2	yes	—
758	#117	C₂³	1	4	yes	—
759	#117	C₂³	1	4	yes	—
760	#117	C₂³	1	2	yes	—
761	#117	C₂³	1	2	yes	—
762	#117	C₂³	1	4	yes	—
763	#117	C₂³	1	2	yes	—
764	#117	C₂³	1	4	yes	—
765	#117	C₂³	1	4	yes	—
766	#117	C₂³	1	2	yes	—
767	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³	1	2	yes	—
769	C₂×C₄⋊C₄	C₂³	1	2	yes	—
770	C₂×C₄⋊C₄	C₂³	1	2	yes	—
771	C₂×C₄⋊C₄	C₂³	1	2	yes	—
772	C₂×C₄⋊C₄	C₂³	1	4	yes	—
773	C₂×C₄⋊C₄	C₂³	1	4	yes	—
774	C₂×C₄⋊C₄	C₂³	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³	1	4	yes	—
776	C₂×C₄⋊C₄	C₂³	1	2	yes	—
777	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³	1	4	yes	—
780	C₂×C₄⋊C₄	C₂³	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³	1	4	yes	—
784	C₂×C₄⋊C₄	C₂³	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³	1	4	yes	—
788	C₂×C₄⋊C₄	C₂³	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
807	C₂×C₄²	C₂³	1	4	yes	—
808	C₂×C₄²	C₂³	1	2	yes	—
809	C₂×C₄²	C₂³	1	1	yes	characteristic
810	C₂×C₄²	C₂³	1	2	yes	—
811	C₂×C₄²	C₂³	1	1	yes	characteristic
812	C₂×C₄²	C₂³	1	1	yes	characteristic
813	C₂⁴	C₂⁴	1	2	yes	—
814	C₂⁴	C₂⁴	1	4	yes	—
815	C₂⁴	C₂⁴	1	2	yes	—
816	C₂⁴	C₂⁴	1	2	yes	—
817	C₂⁴	C₂⁴	1	4	yes	—
818	C₂⁴	C₂⁴	1	2	yes	—
819	#41	—	2	8	no	—
820	#41	—	2	4	no	—
821	#41	—	2	8	no	—
822	#41	—	4	4	no	—
823	#41	—	4	4	no	—
824	#41	—	4	8	no	—
825	#41	—	4	8	no	—
826	#41	—	4	8	no	—
827	#41	—	4	8	no	—
828	#41	—	4	2	no	—
829	#41	—	4	4	no	—
830	#41	—	4	8	no	—
831	#41	—	4	4	no	—
832	#41	—	4	4	no	—
833	#41	—	4	4	no	—
834	#41	—	4	4	no	—
835	#41	—	4	2	no	—
836	#41	—	4	4	no	—
837	#41	—	4	4	no	—
838	#41	—	4	4	no	—
839	C₂×Q₈	—	4	4	no	—
840	C₂×Q₈	—	4	4	no	—
841	C₂×Q₈	C₂⁴	1	1	yes	characteristic
842	C₂×Q₈	C₂⁴	1	1	yes	characteristic
843	C₂×Q₈	C₂⁴	1	2	yes	—
844	C₂×Q₈	C₂⁴	1	2	yes	—
845	C₂×Q₈	C₂⁴	1	1	yes	characteristic
846	C₂×Q₈	C₂⁴	1	2	yes	—
847	C₂×Q₈	C₂⁴	1	2	yes	—
848	C₂×Q₈	C₂⁴	1	2	yes	—
849	C₂×Q₈	C₂⁴	1	4	yes	—
850	C₂×Q₈	C₂⁴	1	4	yes	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	8	no	—
853	C₂×D₄	—	2	4	no	—
854	C₂×D₄	—	4	2	no	—
855	C₂×D₄	—	4	4	no	—
856	C₂×D₄	—	4	4	no	—
857	C₂×D₄	—	4	2	no	—
858	C₂×D₄	—	4	4	no	—
859	C₂×D₄	—	4	8	no	—
860	C₂×D₄	—	4	8	no	—
861	C₂×D₄	—	4	4	no	—
862	C₂×D₄	—	4	4	no	—
863	C₂×D₄	—	4	8	no	—
864	C₂×D₄	—	4	8	no	—
865	C₂×D₄	—	4	8	no	—
866	C₂×D₄	—	4	8	no	—
867	C₂×D₄	—	4	8	no	—
868	C₂×D₄	C₂⁴	1	1	yes	characteristic
869	C₂×D₄	C₂⁴	1	1	yes	characteristic
870	C₂×D₄	C₂⁴	1	4	yes	—
871	C₂×D₄	C₂⁴	1	2	yes	—
872	C₂×D₄	C₂⁴	1	2	yes	—
873	C₂×D₄	C₂⁴	1	1	yes	characteristic
874	C₂×D₄	C₂⁴	1	1	yes	characteristic
875	C₂×D₄	C₂⁴	1	1	yes	characteristic
876	C₂×D₄	C₂⁴	1	2	yes	—
877	C₂×D₄	C₂⁴	1	2	yes	—
878	C₂×D₄	C₂⁴	1	4	yes	—
879	C₂×D₄	C₂⁴	1	2	yes	—
880	C₂×D₄	C₂⁴	1	4	yes	—
881	C₂×D₄	C₂⁴	1	2	yes	—
882	C₂×D₄	C₂⁴	1	4	yes	—
883	C₂×D₄	C₂⁴	1	1	yes	characteristic
884	C₂×D₄	C₂⁴	1	2	yes	—
885	C₂×D₄	C₂⁴	1	1	yes	characteristic
886	C₂×D₄	C₂⁴	1	2	yes	—
887	C₂×D₄	C₂⁴	1	1	yes	characteristic
888	C₂×D₄	C₂⁴	1	2	yes	—
889	C₂×D₄	C₂⁴	1	2	yes	—
890	C₂×D₄	C₂⁴	1	2	yes	—
891	C₂×D₄	C₂⁴	1	2	yes	—
892	C₂×D₄	C₂⁴	1	4	yes	—
893	C₂×D₄	C₂⁴	1	2	yes	—
894	C₂×D₄	C₂⁴	1	4	yes	—
895	C₂×D₄	C₂⁴	1	4	yes	—
896	C₂×D₄	C₂⁴	1	2	yes	—
897	C₂×D₄	C₂⁴	1	4	yes	—
898	C₂×D₄	C₂⁴	1	2	yes	—
899	C₂×D₄	C₂⁴	1	2	yes	—
900	C₂×D₄	C₂⁴	1	4	yes	—
901	C₂×D₄	C₂⁴	1	2	yes	—
902	C₂×D₄	C₂⁴	1	4	yes	—
903	C₂×D₄	C₂⁴	1	2	yes	—
904	C₂×D₄	C₂⁴	1	4	yes	—
905	C₂×D₄	C₂⁴	1	4	yes	—
906	C₂×D₄	C₂⁴	1	4	yes	—
907	C₂×D₄	C₂⁴	1	4	yes	—
908	C₂×D₄	C₂⁴	1	4	yes	—
909	C₂×D₄	C₂⁴	1	2	yes	—
910	C₂×D₄	C₂⁴	1	2	yes	—
911	C₂×D₄	C₂⁴	1	4	yes	—
912	C₂×D₄	C₂⁴	1	2	yes	—
913	C₂×D₄	C₂⁴	1	4	yes	—
914	C₂×D₄	C₂⁴	1	4	yes	—
915	C₂×D₄	C₂⁴	1	1	yes	characteristic
916	C₂²×C₄	—	4	4	no	—
917	C₂²×C₄	—	4	4	no	—
918	C₂²×C₄	—	4	4	no	—
919	C₂²×C₄	—	4	4	no	—
920	C₂²×C₄	—	4	8	no	—
921	C₂²×C₄	—	4	8	no	—
922	C₂²×C₄	C₂⁴	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴	1	4	yes	—
924	C₂²×C₄	C₂⁴	1	2	yes	—
925	C₂²×C₄	C₂⁴	1	2	yes	—
926	C₂²×C₄	C₂⁴	1	1	yes	characteristic
927	C₂²×C₄	C₂⁴	1	1	yes	characteristic
928	C₂²×C₄	C₂⁴	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴	1	1	yes	characteristic
930	C₂²×C₄	C₂⁴	1	1	yes	characteristic
931	C₂²×C₄	C₂⁴	1	2	yes	—
932	C₂²×C₄	C₂⁴	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴	1	4	yes	—
934	C₂²×C₄	C₂⁴	1	2	yes	—
935	C₂²×C₄	C₂⁴	1	2	yes	—
936	C₂²×C₄	C₂⁴	1	2	yes	—
937	C₂²×C₄	C₂⁴	1	2	yes	—
938	C₂²×C₄	C₂⁴	1	2	yes	—
939	C₂²×C₄	C₂⁴	1	4	yes	—
940	C₂²×C₄	C₂⁴	1	2	yes	—
941	C₂²×C₄	C₂⁴	1	2	yes	—
942	C₂²×C₄	C₂⁴	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴	1	2	yes	—
945	C₂²×C₄	C₂⁴	1	2	yes	—
946	C₂²×C₄	C₂⁴	1	2	yes	—
947	C₂²×C₄	C₂⁴	1	4	yes	—
948	C₂²×C₄	C₂⁴	1	4	yes	—
949	C₂²×C₄	C₂⁴	1	2	yes	—
950	C₂²×C₄	C₂⁴	1	2	yes	—
951	C₂²×C₄	C₂⁴	1	2	yes	—
952	C₂²×C₄	C₂⁴	1	4	yes	—
953	C₂²×C₄	C₂⁴	1	4	yes	—
954	C₂²×C₄	C₂⁴	1	2	yes	—
955	C₂²×C₄	C₂⁴	1	2	yes	—
956	C₂²×C₄	C₂⁴	1	2	yes	—
957	C₂²×C₄	C₂⁴	1	4	yes	—
958	C₂²×C₄	C₂⁴	1	4	yes	—
959	C₂²×C₄	C₂⁴	1	4	yes	—
960	C₂²×C₄	C₂⁴	1	2	yes	—
961	C₂²×C₄	C₂⁴	1	4	yes	—
962	C₂²×C₄	C₂⁴	1	2	yes	—
963	C₂²×C₄	C₂⁴	1	4	yes	—
964	C₂²×C₄	C₂⁴	1	4	yes	—
965	C₂²×C₄	C₂⁴	1	2	yes	—
966	C₂²×C₄	C₂⁴	1	4	yes	—
967	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴	1	2	yes	—
970	C₄⋊C₄	C₂⁴	1	2	yes	—
971	C₄⋊C₄	C₂⁴	1	4	yes	—
972	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴	1	2	yes	—
974	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴	1	4	yes	—
976	C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₄⋊C₄	C₂⁴	1	4	yes	—
978	C₄⋊C₄	C₂⁴	1	4	yes	—
979	C₄⋊C₄	C₂⁴	1	4	yes	—
980	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴	1	4	yes	—
984	C₄⋊C₄	C₂⁴	1	2	yes	—
985	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴	1	2	yes	—
988	C₄⋊C₄	C₂⁴	1	4	yes	—
989	C₄⋊C₄	C₂⁴	1	4	yes	—
990	C₄⋊C₄	C₂⁴	1	2	yes	—
991	C₄⋊C₄	C₂⁴	1	2	yes	—
992	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴	1	2	yes	—
994	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴	1	2	yes	—
996	C₄⋊C₄	C₂⁴	1	4	yes	—
997	C₄⋊C₄	C₂⁴	1	2	yes	—
998	C₄⋊C₄	C₂⁴	1	2	yes	—
999	C₄⋊C₄	C₂⁴	1	2	yes	—
1000	C₄⋊C₄	C₂⁴	1	4	yes	—
1001	C₄⋊C₄	C₂⁴	1	2	yes	—
1002	C₄⋊C₄	C₂⁴	1	4	yes	—
1003	C₄⋊C₄	C₂⁴	1	2	yes	—
1004	C₄⋊C₄	C₂⁴	1	2	yes	—
1005	C₄⋊C₄	C₂⁴	1	2	yes	—
1006	C₄⋊C₄	C₂⁴	1	4	yes	—
1007	C₄⋊C₄	C₂⁴	1	4	yes	—
1008	C₄⋊C₄	C₂⁴	1	4	yes	—
1009	C₄⋊C₄	C₂⁴	1	4	yes	—
1010	C₄⋊C₄	C₂⁴	1	4	yes	—
1011	C₄⋊C₄	C₂⁴	1	2	yes	—
1012	C₄⋊C₄	C₂⁴	1	2	yes	—
1013	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1014	C₄⋊C₄	C₂⁴	1	2	yes	—
1015	C₄⋊C₄	C₂⁴	1	2	yes	—
1016	C₄⋊C₄	C₂⁴	1	4	yes	—
1017	C₄⋊C₄	C₂⁴	1	2	yes	—
1018	C₄⋊C₄	C₂⁴	1	2	yes	—
1019	C₄⋊C₄	C₂⁴	1	2	yes	—
1020	C₄⋊C₄	C₂⁴	1	4	yes	—
1021	C₄⋊C₄	C₂⁴	1	2	yes	—
1022	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1023	C₄⋊C₄	C₂⁴	1	2	yes	—
1024	C₄⋊C₄	C₂⁴	1	2	yes	—
1025	C₄⋊C₄	C₂⁴	1	4	yes	—
1026	C₄⋊C₄	C₂⁴	1	4	yes	—
1027	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1028	C₄⋊C₄	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1030	C₂²⋊C₄	C₂⁴	1	4	yes	—
1031	C₂²⋊C₄	C₂⁴	1	2	yes	—
1032	C₂²⋊C₄	C₂⁴	1	2	yes	—
1033	C₂²⋊C₄	C₂⁴	1	2	yes	—
1034	C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄	C₂⁴	1	2	yes	—
1037	C₂²⋊C₄	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄	C₂⁴	1	2	yes	—
1040	C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂²⋊C₄	C₂⁴	1	4	yes	—
1042	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1043	C₂²⋊C₄	C₂⁴	1	2	yes	—
1044	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1045	C₂²⋊C₄	C₂⁴	1	4	yes	—
1046	C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄	C₂⁴	1	2	yes	—
1048	C₂²⋊C₄	C₂⁴	1	4	yes	—
1049	C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₂²⋊C₄	C₂⁴	1	4	yes	—
1051	C₂²⋊C₄	C₂⁴	1	2	yes	—
1052	C₂²⋊C₄	C₂⁴	1	2	yes	—
1053	C₂²⋊C₄	C₂⁴	1	4	yes	—
1054	C₂²⋊C₄	C₂⁴	1	4	yes	—
1055	C₂²⋊C₄	C₂⁴	1	4	yes	—
1056	C₂²⋊C₄	C₂⁴	1	2	yes	—
1057	C₂²⋊C₄	C₂⁴	1	2	yes	—
1058	C₂²⋊C₄	C₂⁴	1	2	yes	—
1059	C₂²⋊C₄	C₂⁴	1	2	yes	—
1060	C₂²⋊C₄	C₂⁴	1	4	yes	—
1061	C₂²⋊C₄	C₂⁴	1	4	yes	—
1062	C₂²⋊C₄	C₂⁴	1	4	yes	—
1063	C₂²⋊C₄	C₂⁴	1	4	yes	—
1064	C₂²⋊C₄	C₂⁴	1	2	yes	—
1065	C₂²⋊C₄	C₂⁴	1	2	yes	—
1066	C₂²⋊C₄	C₂⁴	1	2	yes	—
1067	C₂²⋊C₄	C₂⁴	1	2	yes	—
1068	C₂²⋊C₄	C₂⁴	1	2	yes	—
1069	C₂²⋊C₄	C₂⁴	1	2	yes	—
1070	C₂²⋊C₄	C₂⁴	1	4	yes	—
1071	C₂²⋊C₄	C₂⁴	1	2	yes	—
1072	C₂²⋊C₄	C₂⁴	1	4	yes	—
1073	C₂²⋊C₄	C₂⁴	1	2	yes	—
1074	C₂²⋊C₄	C₂⁴	1	4	yes	—
1075	C₂²⋊C₄	C₂⁴	1	4	yes	—
1076	C₂²⋊C₄	C₂⁴	1	4	yes	—
1077	C₂²⋊C₄	C₂⁴	1	4	yes	—
1078	C₂²⋊C₄	C₂⁴	1	4	yes	—
1079	C₂²⋊C₄	C₂⁴	1	4	yes	—
1080	C₂²⋊C₄	C₂⁴	1	2	yes	—
1081	C₂²⋊C₄	C₂⁴	1	2	yes	—
1082	C₂²⋊C₄	C₂⁴	1	2	yes	—
1083	C₂²⋊C₄	C₂⁴	1	2	yes	—
1084	C₂²⋊C₄	C₂⁴	1	2	yes	—
1085	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1086	C₂²⋊C₄	C₂⁴	1	2	yes	—
1087	C₂²⋊C₄	C₂⁴	1	2	yes	—
1088	C₂²⋊C₄	C₂⁴	1	2	yes	—
1089	C₂²⋊C₄	C₂⁴	1	4	yes	—
1090	C₂²⋊C₄	C₂⁴	1	4	yes	—
1091	C₂²⋊C₄	C₂⁴	1	4	yes	—
1092	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1093	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1094	C₂²⋊C₄	C₂⁴	1	2	yes	—
1095	C₂²⋊C₄	C₂⁴	1	4	yes	—
1096	C₂²⋊C₄	C₂⁴	1	2	yes	—
1097	C₂²⋊C₄	C₂⁴	1	2	yes	—
1098	C₂²⋊C₄	C₂⁴	1	4	yes	—
1099	C₄²	C₂⁴	1	2	yes	—
1100	C₄²	C₂⁴	1	1	yes	characteristic
1101	C₄²	C₂⁴	1	1	yes	characteristic
1102	C₄²	C₂⁴	1	1	yes	characteristic
1103	C₄²	C₂⁴	1	2	yes	—
1104	C₄²	C₂⁴	1	4	yes	—
1105	C₄²	C₂⁴	1	2	yes	—
1106	C₄²	C₂⁴	1	1	yes	characteristic
1107	C₄²	C₂⁴	1	4	yes	—
1108	C₄²	C₂⁴	1	1	yes	characteristic
1109	C₄²	C₂⁴	1	1	yes	characteristic
1110	C₄²	C₂⁴	1	1	yes	characteristic
1111	C₄²	C₂⁴	1	1	yes	characteristic
1112	C₄²	C₂⁴	1	2	yes	—
1113	C₄²	C₂⁴	1	2	yes	—
1114	C₄²	C₂⁴	1	1	yes	characteristic
1115	C₄²	C₂⁴	1	1	yes	characteristic
1116	C₄²	C₂⁴	1	4	yes	—
1117	C₄²	C₂⁴	1	2	yes	—
1118	C₄²	C₂⁴	1	4	yes	—
1119	C₄²	C₂⁴	1	4	yes	—
1120	C₄²	C₂⁴	1	4	yes	—
1121	C₂³	—	2	4	no	—
1122	C₂³	—	2	4	no	—
1123	C₂³	—	2	8	no	—
1124	C₂³	—	2	4	no	—
1125	C₂³	—	2	4	no	—
1126	C₂³	—	4	2	no	—
1127	C₂³	—	4	2	no	—
1128	C₂³	—	4	2	no	—
1129	C₂³	—	4	2	no	—
1130	C₂³	—	4	2	no	—
1131	C₂³	—	4	4	no	—
1132	C₂³	—	4	2	no	—
1133	C₂³	—	4	4	no	—
1134	C₂³	—	4	2	no	—
1135	C₂³	—	4	2	no	—
1136	C₂³	—	4	4	no	—
1137	C₂³	—	4	4	no	—
1138	C₂³	—	4	4	no	—
1139	C₂³	C₂⁵	1	2	yes	—
1140	C₂³	C₂⁵	1	2	yes	—
1141	C₂³	C₂⁵	1	2	yes	—
1142	C₂³	C₂⁵	1	1	yes	characteristic
1143	C₂³	C₂⁵	1	2	yes	—
1144	C₂³	C₂⁵	1	1	yes	characteristic
1145	C₂³	C₂⁵	1	4	yes	—
1146	C₂³	C₂⁵	1	2	yes	—
1147	C₂³	C₂⁵	1	2	yes	—
1148	C₂³	C₂⁵	1	1	yes	characteristic
1149	Q₈	—	2	4	no	—
1150	Q₈	—	2	2	no	—
1151	Q₈	—	2	4	no	—
1152	Q₈	—	2	2	no	—
1153	Q₈	—	4	4	no	—
1154	Q₈	—	4	4	no	—
1155	Q₈	—	4	2	no	—
1156	Q₈	—	4	1	no	—
1157	Q₈	—	4	2	no	—
1158	Q₈	—	4	2	no	—
1159	D₄	—	2	4	no	—
1160	D₄	—	2	8	no	—
1161	D₄	—	2	4	no	—
1162	D₄	—	2	8	no	—
1163	D₄	—	2	8	no	—
1164	D₄	—	2	4	no	—
1165	D₄	—	2	4	no	—
1166	D₄	—	2	4	no	—
1167	D₄	—	2	2	no	—
1168	D₄	—	2	2	no	—
1169	D₄	—	2	8	no	—
1170	D₄	—	2	2	no	—
1171	D₄	—	2	4	no	—
1172	D₄	—	2	2	no	—
1173	D₄	—	2	2	no	—
1174	D₄	—	2	2	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	4	no	—
1177	D₄	—	4	2	no	—
1178	D₄	—	4	4	no	—
1179	D₄	—	4	2	no	—
1180	D₄	—	4	2	no	—
1181	D₄	—	4	4	no	—
1182	D₄	—	4	4	no	—
1183	D₄	—	4	2	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	4	4	no	—
1186	D₄	—	4	2	no	—
1187	D₄	—	4	2	no	—
1188	D₄	—	4	4	no	—
1189	D₄	—	4	2	no	—
1190	D₄	—	4	4	no	—
1191	D₄	—	4	2	no	—
1192	D₄	—	4	4	no	—
1193	D₄	—	4	4	no	—
1194	D₄	—	4	2	no	—
1195	D₄	—	4	4	no	—
1196	D₄	—	4	4	no	—
1197	D₄	—	4	4	no	—
1198	D₄	—	4	4	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	1	no	—
1201	D₄	—	4	2	no	—
1202	D₄	—	4	2	no	—
1203	D₄	—	4	2	no	—
1204	D₄	—	4	2	no	—
1205	D₄	—	4	4	no	—
1206	D₄	H(5,𝔽₂)	1	4	yes	—
1207	C₂×C₄	—	2	4	no	—
1208	C₂×C₄	—	2	8	no	—
1209	C₂×C₄	—	2	8	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	4	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	4	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	4	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	4	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	4	2	no	—
1224	C₂×C₄	—	4	2	no	—
1225	C₂×C₄	—	4	2	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	4	2	no	—
1228	C₂×C₄	—	4	2	no	—
1229	C₂×C₄	—	4	2	no	—
1230	C₂×C₄	—	4	2	no	—
1231	C₂×C₄	—	4	4	no	—
1232	C₂×C₄	—	4	4	no	—
1233	C₂×C₄	—	4	2	no	—
1234	C₂×C₄	—	4	2	no	—
1235	C₂×C₄	—	4	2	no	—
1236	C₂×C₄	—	4	4	no	—
1237	C₂×C₄	—	4	4	no	—
1238	C₂×C₄	—	4	4	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	4	4	no	—
1241	C₂×C₄	—	4	4	no	—
1242	C₂×C₄	—	4	2	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	4	2	no	—
1245	C₂×C₄	—	4	4	no	—
1246	C₂×C₄	—	4	4	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	4	no	—
1249	C₂×C₄	—	4	4	no	—
1250	C₂×C₄	—	4	1	no	—
1251	C₂×C₄	—	4	1	no	—
1252	C₂×C₄	C₂⁵	1	1	yes	characteristic
1253	C₂×C₄	C₂⁵	1	1	yes	characteristic
1254	C₂×C₄	C₂⁵	1	1	yes	characteristic
1255	C₂×C₄	C₂⁵	1	2	yes	—
1256	C₂×C₄	C₂⁵	1	1	yes	characteristic
1257	C₂×C₄	C₂⁵	1	1	yes	characteristic
1258	C₂×C₄	C₂⁵	1	4	yes	—
1259	C₂×C₄	C₂⁵	1	2	yes	—
1260	C₂×C₄	C₂⁵	1	2	yes	—
1261	C₂×C₄	C₂⁵	1	2	yes	—
1262	C₂×C₄	C₂⁵	1	2	yes	—
1263	C₂×C₄	C₂⁵	1	1	yes	characteristic
1264	C₂×C₄	C₂⁵	1	1	yes	characteristic
1265	C₂×C₄	C₂⁵	1	2	yes	—
1266	C₂×C₄	C₂⁵	1	2	yes	—
1267	C₂×C₄	C₂⁵	1	1	yes	characteristic
1268	C₂×C₄	C₂⁵	1	1	yes	characteristic
1269	C₂×C₄	C₂⁵	1	2	yes	—
1270	C₂×C₄	C₂⁵	1	4	yes	—
1271	C₂×C₄	C₂⁵	1	2	yes	—
1272	C₂×C₄	C₂⁵	1	1	yes	characteristic
1273	C₂×C₄	C₂⁵	1	4	yes	—
1274	C₂×C₄	C₂⁵	1	2	yes	—
1275	C₂×C₄	C₂⁵	1	1	yes	characteristic
1276	C₂×C₄	C₂⁵	1	1	yes	characteristic
1277	C₂²	—	2	1	no	—
1278	C₂²	—	2	1	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	1	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	2	2	no	—
1285	C₂²	—	2	1	no	—
1286	C₂²	—	2	2	no	—
1287	C₂²	—	2	4	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	1	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	1	no	—
1295	C₂²	—	2	1	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	4	no	—
1298	C₂²	—	2	4	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	4	8	no	—
1306	C₂²	—	8	4	no	—
1307	C₂²	—	8	4	no	—
1308	C₂²	—	8	8	no	—
1309	C₂²	—	8	4	no	—
1310	C₂²	—	16	4	no	—
1311	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
1312	C₂²	#585	1	2	yes	—
1313	C₂²	C₂⁶	1	1	yes	characteristic
1314	C₄	—	2	1	no	—
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	1	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	1	no	—
1320	C₄	—	2	4	no	—
1321	C₄	—	2	4	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	1	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	1	no	—
1326	C₄	—	2	1	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	1	no	—
1331	C₄	—	2	2	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	1	no	—
1334	C₄	—	2	4	no	—
1335	C₄	—	2	1	no	—
1336	C₄	—	2	2	no	—
1337	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1338	C₄	#585	1	2	yes	—
1339	C₂	—	2	2	no	—
1340	C₂	—	2	4	no	—
1341	C₂	—	4	2	no	—
1342	C₂	—	4	1	no	—
1343	C₂	—	4	2	no	—
1344	C₂	—	4	1	no	—
1345	C₂	—	4	2	no	—
1346	C₂	—	4	4	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	4	2	no	—
1349	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1350	C₂	C₂×#585	1	1	yes	characteristic
1351	C₂	C₂×#585	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂²	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3562	C₂	semidirect
2. #3560	C₂	semidirect
3. #3559	C₂	semidirect
4. #3552	C₂	semidirect
5. #3547	C₂	semidirect
6. #3546	C₂	semidirect
7. #3542	C₂	semidirect
8. #3541	C₂	semidirect
9. #3539	C₂	semidirect
10. #3537	C₂	semidirect
11. #3534	C₂	semidirect
12. #3533	C₂	semidirect
13. #3521	C₂	semidirect
14. #3519	C₂	semidirect
15. #3519	C₂	semidirect
16. #3519	C₂	semidirect
17. #3517	C₂	semidirect
18. #3515	C₂	semidirect
19. #3513	C₂	semidirect
20. #3513	C₂	semidirect
21. #3511	C₂	semidirect
22. #3506	C₂	semidirect
23. #3505	C₂	semidirect
24. #3496	C₂	semidirect
25. #3494	C₂	semidirect
26. #3492	C₂	semidirect
27. #3488	C₂	semidirect
28. #3485	C₂	semidirect
29. #3481	C₂	semidirect
30. #3481	C₂	semidirect
31. #3475	C₂	semidirect
32. C₂×#553	C₂	semidirect
33. D₄×#41	C₂	semidirect
34. D₄×#41	C₂	semidirect
35. C₂×#547	C₂	semidirect
36. C₂×H(5,𝔽₂)	C₂²	semidirect
37. C₂²×#41	C₂²	semidirect
38. C₂²×#41	C₂²	semidirect
39. #563	C₂²	semidirect
40. #563	C₂²	semidirect
41. #562	C₂²	semidirect
42. #562	C₂²	semidirect
43. #562	C₂²	semidirect
44. #560	C₂²	semidirect
45. #560	C₂²	semidirect
46. #560	C₂²	semidirect
47. #560	C₂²	semidirect
48. #559	C₂²	semidirect
49. #559	C₂²	semidirect
50. #559	C₂²	semidirect
51. #557	C₂²	semidirect
52. #556	C₂²	semidirect
53. #556	C₂²	semidirect
54. #556	C₂²	semidirect
55. #555	C₂²	semidirect
56. #555	C₂²	semidirect
57. #555	C₂²	semidirect
58. #555	C₂²	semidirect
59. #554	C₂²	semidirect
60. #554	C₂²	semidirect
61. #554	C₂²	semidirect
62. #554	C₂²	semidirect
63. #554	C₂²	semidirect
64. #554	C₂²	semidirect
65. #554	C₂²	semidirect
66. #554	C₂²	semidirect
67. #554	C₂²	semidirect
68. #553	C₂²	semidirect
69. #553	C₂²	semidirect
70. #553	C₂²	semidirect
71. #553	C₂²	semidirect
72. #553	C₂²	semidirect
73. #553	C₂²	semidirect
74. #553	C₂²	semidirect
75. #553	C₂²	semidirect
76. #553	C₂²	semidirect
77. #553	C₂²	semidirect
78. #553	C₂²	semidirect
79. #553	C₂²	semidirect
80. #553	C₂²	semidirect
81. #553	C₂²	semidirect
82. #553	C₂²	semidirect
83. #553	C₂²	semidirect
84. #553	C₂²	semidirect
85. #553	C₂²	semidirect
86. #553	C₂²	semidirect
87. #553	C₂²	semidirect
88. #553	C₂²	semidirect
89. #553	C₂²	semidirect
90. #553	C₂²	semidirect
91. #553	C₂²	semidirect
92. #553	C₂²	semidirect
93. #553	C₂²	semidirect
94. #553	C₂²	semidirect
95. #553	C₂²	semidirect
96. #552	C₂²	semidirect
97. #552	C₂²	semidirect
98. #552	C₂²	semidirect
99. #552	C₂²	semidirect
100. #552	C₂²	semidirect
101. #552	C₂²	semidirect
102. #552	C₂²	semidirect
103. #551	C₂²	semidirect
104. #551	C₂²	semidirect
105. #551	C₂²	semidirect
106. #551	C₂²	semidirect
107. #551	C₂²	semidirect
108. #551	C₂²	semidirect
109. #551	C₂²	semidirect
110. #551	C₂²	semidirect
111. #551	C₂²	semidirect
112. #551	C₂²	semidirect
113. #550	C₂²	semidirect
114. #550	C₂²	semidirect
115. #550	C₂²	semidirect
116. #550	C₂²	semidirect
117. #550	C₂²	semidirect
118. #550	C₂²	semidirect
119. D₄×Q₈	C₂²	semidirect
120. D₄×Q₈	C₂²	semidirect
121. #548	C₂²	semidirect
122. #548	C₂²	semidirect
123. #548	C₂²	semidirect
124. #548	C₂²	semidirect
125. #548	C₂²	semidirect
126. #547	C₂²	semidirect
127. #547	C₂²	semidirect
128. #547	C₂²	semidirect
129. #547	C₂²	semidirect
130. #547	C₂²	semidirect
131. #547	C₂²	semidirect
132. #547	C₂²	semidirect
133. #547	C₂²	semidirect
134. #547	C₂²	semidirect
135. #547	C₂²	semidirect
136. #547	C₂²	semidirect
137. #547	C₂²	semidirect
138. #547	C₂²	semidirect
139. #547	C₂²	semidirect
140. #547	C₂²	semidirect
141. #547	C₂²	semidirect
142. #547	C₂²	semidirect
143. #547	C₂²	semidirect
144. #546	C₂²	semidirect
145. #546	C₂²	semidirect
146. #546	C₂²	semidirect
147. #546	C₂²	semidirect
148. #546	C₂²	semidirect
149. #546	C₂²	semidirect
150. #546	C₂²	semidirect
151. #546	C₂²	semidirect
152. #546	C₂²	semidirect
153. #546	C₂²	semidirect
154. #546	C₂²	semidirect
155. #546	C₂²	semidirect
156. #546	C₂²	semidirect
157. #546	C₂²	semidirect
158. #546	C₂²	semidirect
159. #546	C₂²	semidirect
160. #546	C₂²	semidirect
161. #546	C₂²	semidirect
162. #546	C₂²	semidirect
163. #546	C₂²	semidirect
164. #546	C₂²	semidirect
165. #546	C₂²	semidirect
166. #546	C₂²	semidirect
167. #546	C₂²	semidirect
168. D₄²	C₂²	semidirect
169. D₄²	C₂²	semidirect
170. D₄²	C₂²	semidirect
171. D₄²	C₂²	semidirect
172. D₄²	C₂²	semidirect
173. D₄²	C₂²	semidirect
174. D₄²	C₂²	semidirect
175. D₄²	C₂²	semidirect
176. D₄²	C₂²	semidirect
177. D₄²	C₂²	semidirect
178. D₄²	C₂²	semidirect
179. #544	C₂²	semidirect
180. #544	C₂²	semidirect
181. #542	C₂²	semidirect
182. #542	C₂²	semidirect
183. #542	C₂²	semidirect
184. #542	C₂²	semidirect
185. #542	C₂²	semidirect
186. #542	C₂²	semidirect
187. #541	C₂²	semidirect
188. #541	C₂²	semidirect
189. #540	C₂²	semidirect
190. #540	C₂²	semidirect
191. #540	C₂²	semidirect
192. #540	C₂²	semidirect
193. #540	C₂²	semidirect
194. #540	C₂²	semidirect
195. #540	C₂²	semidirect
196. #540	C₂²	semidirect
197. #539	C₂²	semidirect
198. #539	C₂²	semidirect
199. #539	C₂²	semidirect
200. #539	C₂²	semidirect
201. #539	C₂²	semidirect
202. #539	C₂²	semidirect
203. #539	C₂²	semidirect
204. #539	C₂²	semidirect
205. #538	C₂²	semidirect
206. #538	C₂²	semidirect
207. #538	C₂²	semidirect
208. #538	C₂²	semidirect
209. #538	C₂²	semidirect
210. #538	C₂²	semidirect
211. #538	C₂²	semidirect
212. #538	C₂²	semidirect
213. #538	C₂²	semidirect
214. #538	C₂²	semidirect
215. #537	C₂²	semidirect
216. #537	C₂²	semidirect
217. #537	C₂²	semidirect
218. #537	C₂²	semidirect
219. #537	C₂²	semidirect
220. #536	C₂²	semidirect
221. #536	C₂²	semidirect
222. #535	C₂²	semidirect
223. #535	C₂²	semidirect
224. #535	C₂²	semidirect
225. #535	C₂²	semidirect
226. #534	C₂²	semidirect
227. #534	C₂²	semidirect
228. #534	C₂²	semidirect
229. #534	C₂²	semidirect
230. #533	C₂²	semidirect
231. #533	C₂²	semidirect
232. #532	C₂²	semidirect
233. #532	C₂²	semidirect
234. #532	C₂²	semidirect
235. #532	C₂²	semidirect
236. #532	C₂²	semidirect
237. #532	C₂²	semidirect
238. #532	C₂²	semidirect
239. #532	C₂²	semidirect
240. C₂×C₄⋊Q₈	C₂²	semidirect
241. #529	C₂²	semidirect
242. #529	C₂²	semidirect
243. #529	C₂²	semidirect
244. #529	C₂²	semidirect
245. #529	C₂²	semidirect
246. #529	C₂²	semidirect
247. #529	C₂²	semidirect
248. #529	C₂²	semidirect
249. #529	C₂²	semidirect
250. #529	C₂²	semidirect
251. #529	C₂²	semidirect
252. C₂×#126	C₂²	semidirect
253. C₂×#125	C₂²	semidirect
254. #525	C₂²	semidirect
255. #525	C₂²	semidirect
256. #525	C₂²	semidirect
257. #525	C₂²	semidirect
258. #525	C₂²	semidirect
259. #525	C₂²	semidirect
260. #525	C₂²	semidirect
261. #525	C₂²	semidirect
262. #525	C₂²	semidirect
263. #525	C₂²	semidirect
264. #525	C₂²	semidirect
265. #525	C₂²	semidirect
266. #525	C₂²	semidirect
267. #525	C₂²	semidirect
268. C₂×#123	C₂²	semidirect
269. C₂×#123	C₂²	semidirect
270. C₂×#123	C₂²	semidirect
271. C₂×C₂²⋊Q₈	C₂²	semidirect
272. C₂×#121	C₂²	semidirect
273. C₂×#121	C₂²	semidirect
274. C₂×#121	C₂²	semidirect
275. C₂×#121	C₂²	semidirect
276. C₂×#121	C₂²	semidirect
277. C₂×#121	C₂²	semidirect
278. #520	C₂²	semidirect
279. #520	C₂²	semidirect
280. #520	C₂²	semidirect
281. #520	C₂²	semidirect
282. #518	C₂²	semidirect
283. #518	C₂²	semidirect
284. #518	C₂²	semidirect
285. C₄×#41	C₂²	semidirect
286. C₄×#41	C₂²	semidirect
287. C₄×#41	C₂²	semidirect
288. C₄×#41	C₂²	semidirect
289. C₂×C₄×D₄	C₂²	semidirect
290. C₂×C₄×D₄	C₂²	semidirect
291. C₂×C₄×D₄	C₂²	semidirect
292. C₂×C₄×D₄	C₂²	semidirect
293. C₂×C₄×D₄	C₂²	semidirect
294. C₂×C₄×D₄	C₂²	semidirect
295. C₂×C₄×D₄	C₂²	semidirect
296. C₂×C₄×D₄	C₂²	semidirect
297. C₂×#117	C₂²	semidirect
298. C₂²×C₄⋊C₄	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3562	2
#3560	2
#3559	2
#3552	2
#3547	2
#3546	2
#3542	2
#3541	2
#3539	2
#3537	2
#3534	2
#3533	2
#3521	2
#3519	2
#3517	2
#3515	2
#3513	2
#3511	2
#3506	2
#3505	2
#3496	2
#3494	2
#3492	2
#3488	2
#3485	2
#3481	2
#3475	2
C₂×#553	2
D₄×#41	2
C₂×#547	2