Subgroups — #62921

Order 256.

3546 conjugacy classes of subgroups.

The subgroup lattice has 1329 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3561	C₂	1	2	yes	maximal, complemented
2	#3560	C₂	1	4	yes	maximal, complemented
3	#3558	C₂	1	2	yes	maximal, complemented
4	#3554	C₂	1	1	yes	maximal, characteristic, complemented
5	#3552	C₂	1	1	yes	maximal, characteristic, complemented
6	#3550	C₂	1	1	yes	maximal, characteristic, complemented
7	#3547	C₂	1	2	yes	maximal, complemented
8	#3546	C₂	1	1	yes	maximal, characteristic, complemented
9	#3545	C₂	1	4	yes	maximal, complemented
10	#3544	C₂	1	2	yes	maximal, complemented
11	#3542	C₂	1	2	yes	maximal, complemented
12	#3541	C₂	1	2	yes	maximal, complemented
13	#3540	C₂	1	2	yes	maximal, complemented
14	#3536	C₂	1	2	yes	maximal, complemented
15	#3535	C₂	1	4	yes	maximal, complemented
16	#3533	C₂	1	4	yes	maximal, complemented
17	#3522	C₂	1	2	yes	maximal, complemented
18	#3521	C₂	1	2	yes	maximal, complemented
19	#3520	C₂	1	1	yes	maximal, characteristic, complemented
20	#3520	C₂	1	1	yes	maximal, characteristic, complemented
21	#3514	C₂	1	1	yes	maximal, characteristic, complemented
22	#3514	C₂	1	1	yes	maximal, characteristic, complemented
23	#3513	C₂	1	2	yes	maximal, complemented
24	#3511	C₂	1	1	yes	maximal, characteristic, complemented
25	#3500	C₂	1	2	yes	maximal, complemented
26	#3499	C₂	1	1	yes	maximal, characteristic, complemented
27	#3496	C₂	1	1	yes	maximal, characteristic, complemented
28	#3494	C₂	1	2	yes	maximal, complemented
29	#3489	C₂	1	2	yes	maximal, complemented
30	#3485	C₂	1	2	yes	maximal, complemented
31	#3482	C₂	1	1	yes	maximal, characteristic, complemented
32	#3475	C₂	1	1	yes	maximal, characteristic, complemented
33	D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
34	#3460	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#542	C₂	1	2	yes	maximal, complemented
36	C₂×2₋¹⁺⁴	C₂²	1	2	yes	complemented
37	C₂×H(5,𝔽₂)	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	#563	C₂²	1	4	yes	complemented
42	#563	C₂²	1	4	yes	complemented
43	#562	C₂²	1	4	yes	complemented
44	#562	C₂²	1	4	yes	complemented
45	#562	C₂²	1	4	yes	complemented
46	#562	C₂²	1	4	yes	complemented
47	#562	C₂²	1	4	yes	complemented
48	H(3,𝔽₄)	C₂²	1	4	yes	complemented
49	#560	C₂²	1	4	yes	complemented
50	#560	C₂²	1	4	yes	complemented
51	#559	C₂²	1	2	yes	complemented
52	#559	C₂²	1	1	yes	characteristic, complemented
53	#559	C₂²	1	4	yes	complemented
54	#559	C₂²	1	2	yes	complemented
55	Q₈²	C₂²	1	2	yes	complemented
56	#557	C₂²	1	1	yes	characteristic, complemented
57	#556	C₂²	1	1	yes	characteristic, complemented
58	#556	C₂²	1	2	yes	complemented
59	#556	C₂²	1	1	yes	characteristic, complemented
60	#556	C₂²	1	2	yes	complemented
61	#556	C₂²	1	1	yes	characteristic, complemented
62	#556	C₂²	1	1	yes	characteristic, complemented
63	#556	C₂²	1	2	yes	complemented
64	#555	C₂²	1	1	yes	characteristic, complemented
65	#555	C₂²	1	4	yes	complemented
66	#555	C₂²	1	2	yes	complemented
67	#555	C₂²	1	2	yes	complemented
68	#555	C₂²	1	2	yes	complemented
69	#554	C₂²	1	1	yes	characteristic, complemented
70	#554	C₂²	1	2	yes	complemented
71	#554	C₂²	1	2	yes	complemented
72	#554	C₂²	1	2	yes	complemented
73	#554	C₂²	1	2	yes	complemented
74	#554	C₂²	1	4	yes	complemented
75	#554	C₂²	1	2	yes	complemented
76	#553	C₂²	1	2	yes	complemented
77	#553	C₂²	1	4	yes	complemented
78	#553	C₂²	1	4	yes	complemented
79	#553	C₂²	1	2	yes	complemented
80	#553	C₂²	1	2	yes	complemented
81	#553	C₂²	1	2	yes	complemented
82	#553	C₂²	1	4	yes	complemented
83	#553	C₂²	1	2	yes	complemented
84	#552	C₂²	1	2	yes	complemented
85	#552	C₂²	1	1	yes	characteristic, complemented
86	#552	C₂²	1	1	yes	characteristic, complemented
87	#552	C₂²	1	4	yes	complemented
88	#552	C₂²	1	2	yes	complemented
89	#552	C₂²	1	2	yes	complemented
90	#552	C₂²	1	2	yes	complemented
91	#552	C₂²	1	4	yes	complemented
92	#551	C₂²	1	2	yes	complemented
93	#551	C₂²	1	2	yes	complemented
94	#551	C₂²	1	4	yes	complemented
95	#551	C₂²	1	4	yes	complemented
96	#551	C₂²	1	4	yes	complemented
97	#551	C₂²	1	4	yes	complemented
98	#551	C₂²	1	4	yes	complemented
99	#551	C₂²	1	4	yes	complemented
100	#551	C₂²	1	4	yes	complemented
101	#551	C₂²	1	4	yes	complemented
102	#551	C₂²	1	4	yes	complemented
103	#550	C₂²	1	1	yes	characteristic, complemented
104	#550	C₂²	1	2	yes	complemented
105	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
106	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
107	D₄×Q₈	C₂²	1	2	yes	complemented
108	D₄×Q₈	C₂²	1	2	yes	complemented
109	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
110	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
111	D₄×Q₈	C₂²	1	2	yes	complemented
112	#548	C₂²	1	2	yes	complemented
113	#548	C₂²	1	2	yes	complemented
114	#548	C₂²	1	2	yes	complemented
115	#548	C₂²	1	2	yes	complemented
116	#548	C₂²	1	2	yes	complemented
117	#548	C₂²	1	2	yes	complemented
118	#548	C₂²	1	2	yes	complemented
119	#548	C₂²	1	2	yes	complemented
120	#548	C₂²	1	2	yes	complemented
121	#548	C₂²	1	2	yes	complemented
122	#547	C₂²	1	1	yes	characteristic
123	#547	C₂²	1	1	yes	characteristic, complemented
124	#547	C₂²	1	2	yes	complemented
125	#547	C₂²	1	1	yes	characteristic, complemented
126	#547	C₂²	1	2	yes	complemented
127	#547	C₂²	1	1	yes	characteristic, complemented
128	#547	C₂²	1	2	yes	complemented
129	#547	C₂²	1	2	yes	complemented
130	#547	C₂²	1	4	yes	complemented
131	#547	C₂²	1	4	yes	complemented
132	#547	C₂²	1	2	yes	complemented
133	#547	C₂²	1	4	yes	complemented
134	#547	C₂²	1	4	yes	complemented
135	#547	C₂²	1	2	yes	complemented
136	#547	C₂²	1	2	yes	complemented
137	#547	C₂²	1	2	yes	complemented
138	#547	C₂²	1	4	yes	complemented
139	#547	C₂²	1	1	yes	characteristic, complemented
140	#546	C₂²	1	1	yes	characteristic
141	#546	C₂²	1	2	yes	complemented
142	#546	C₂²	1	4	yes	complemented
143	#546	C₂²	1	1	yes	characteristic, complemented
144	#546	C₂²	1	4	yes	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	2	yes	complemented
149	#546	C₂²	1	2	yes	complemented
150	#546	C₂²	1	2	yes	complemented
151	#546	C₂²	1	4	yes	complemented
152	#546	C₂²	1	4	yes	complemented
153	#546	C₂²	1	4	yes	complemented
154	#546	C₂²	1	4	yes	complemented
155	#546	C₂²	1	2	yes	complemented
156	#546	C₂²	1	4	yes	complemented
157	#546	C₂²	1	4	yes	complemented
158	#546	C₂²	1	4	yes	complemented
159	#546	C₂²	1	2	yes	complemented
160	#546	C₂²	1	2	yes	complemented
161	#546	C₂²	1	2	yes	complemented
162	#546	C₂²	1	2	yes	complemented
163	D₄²	C₂²	1	1	yes	characteristic
164	D₄²	C₂²	1	2	yes	—
165	D₄²	C₂²	1	2	yes	complemented
166	D₄²	C₂²	1	1	yes	characteristic, complemented
167	#544	C₂²	1	1	yes	characteristic, complemented
168	#544	C₂²	1	2	yes	complemented
169	#544	C₂²	1	4	yes	complemented
170	#543	C₂²	1	4	yes	complemented
171	#542	C₂²	1	1	yes	characteristic, complemented
172	#542	C₂²	1	2	yes	complemented
173	#542	C₂²	1	2	yes	complemented
174	#542	C₂²	1	2	yes	complemented
175	#542	C₂²	1	4	yes	complemented
176	#542	C₂²	1	4	yes	complemented
177	#542	C₂²	1	2	yes	complemented
178	#542	C₂²	1	2	yes	complemented
179	#542	C₂²	1	2	yes	complemented
180	#542	C₂²	1	4	yes	complemented
181	#542	C₂²	1	2	yes	complemented
182	#542	C₂²	1	4	yes	complemented
183	#542	C₂²	1	1	yes	characteristic, complemented
184	#542	C₂²	1	2	yes	complemented
185	#542	C₂²	1	2	yes	complemented
186	#542	C₂²	1	2	yes	complemented
187	#542	C₂²	1	2	yes	complemented
188	#542	C₂²	1	2	yes	complemented
189	#542	C₂²	1	2	yes	complemented
190	#542	C₂²	1	4	yes	complemented
191	#542	C₂²	1	4	yes	complemented
192	#542	C₂²	1	4	yes	complemented
193	#542	C₂²	1	4	yes	complemented
194	#541	C₂²	1	2	yes	complemented
195	#540	C₂²	1	1	yes	characteristic, complemented
196	#540	C₂²	1	1	yes	characteristic, complemented
197	#540	C₂²	1	2	yes	complemented
198	#540	C₂²	1	2	yes	complemented
199	#540	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	#539	C₂²	1	4	yes	complemented
206	#538	C₂²	1	2	yes	complemented
207	#538	C₂²	1	2	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	#538	C₂²	1	4	yes	complemented
216	#538	C₂²	1	4	yes	complemented
217	#537	C₂²	1	1	yes	characteristic, complemented
218	#537	C₂²	1	4	yes	complemented
219	#537	C₂²	1	2	yes	complemented
220	#537	C₂²	1	2	yes	complemented
221	#537	C₂²	1	2	yes	complemented
222	#536	C₂²	1	2	yes	complemented
223	#536	C₂²	1	2	yes	complemented
224	#536	C₂²	1	4	yes	complemented
225	#536	C₂²	1	2	yes	complemented
226	#536	C₂²	1	4	yes	complemented
227	#536	C₂²	1	2	yes	complemented
228	#536	C₂²	1	4	yes	complemented
229	#536	C₂²	1	2	yes	complemented
230	#535	C₂²	1	1	yes	characteristic, complemented
231	#535	C₂²	1	1	yes	characteristic, complemented
232	#535	C₂²	1	2	yes	complemented
233	#535	C₂²	1	4	yes	complemented
234	#535	C₂²	1	2	yes	complemented
235	#534	C₂²	1	4	yes	complemented
236	#534	C₂²	1	4	yes	complemented
237	#534	C₂²	1	4	yes	complemented
238	#533	C₂²	1	1	yes	characteristic, complemented
239	#533	C₂²	1	1	yes	characteristic, complemented
240	#533	C₂²	1	2	yes	complemented
241	#533	C₂²	1	1	yes	characteristic, complemented
242	#532	C₂²	1	1	yes	characteristic
243	#532	C₂²	1	1	yes	characteristic, complemented
244	#532	C₂²	1	2	yes	complemented
245	#532	C₂²	1	2	yes	complemented
246	#532	C₂²	1	1	yes	characteristic, complemented
247	#532	C₂²	1	2	yes	complemented
248	#532	C₂²	1	1	yes	characteristic, complemented
249	#532	C₂²	1	4	yes	complemented
250	#532	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₄⋊Q₈	C₂²	1	2	yes	complemented
252	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
253	#529	C₂²	1	1	yes	characteristic, complemented
254	#529	C₂²	1	1	yes	characteristic, complemented
255	#529	C₂²	1	2	yes	complemented
256	#529	C₂²	1	2	yes	complemented
257	#529	C₂²	1	1	yes	characteristic, complemented
258	#529	C₂²	1	2	yes	complemented
259	#529	C₂²	1	1	yes	characteristic, complemented
260	#529	C₂²	1	2	yes	complemented
261	#529	C₂²	1	4	yes	complemented
262	#529	C₂²	1	2	yes	complemented
263	#529	C₂²	1	2	yes	complemented
264	#529	C₂²	1	4	yes	complemented
265	C₂×#126	C₂²	1	4	yes	complemented
266	C₂×#124	C₂²	1	4	yes	complemented
267	C₂×#124	C₂²	1	2	yes	complemented
268	C₂×#124	C₂²	1	2	yes	complemented
269	#525	C₂²	1	2	yes	complemented
270	#525	C₂²	1	2	yes	complemented
271	#525	C₂²	1	4	yes	complemented
272	#525	C₂²	1	2	yes	complemented
273	#525	C₂²	1	2	yes	complemented
274	#525	C₂²	1	2	yes	complemented
275	#525	C₂²	1	4	yes	complemented
276	#525	C₂²	1	2	yes	complemented
277	C₂×#123	C₂²	1	4	yes	complemented
278	C₂×#123	C₂²	1	4	yes	complemented
279	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
280	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
281	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
282	C₂×#121	C₂²	1	2	yes	—
283	C₂×#121	C₂²	1	2	yes	complemented
284	#520	C₂²	1	2	yes	complemented
285	#520	C₂²	1	2	yes	complemented
286	#520	C₂²	1	2	yes	complemented
287	#518	C₂²	1	2	yes	complemented
288	#518	C₂²	1	2	yes	complemented
289	C₄×#41	C₂²	1	1	yes	characteristic, complemented
290	C₄×#41	C₂²	1	1	yes	characteristic, complemented
291	C₄×#41	C₂²	1	1	yes	characteristic, complemented
292	C₄×#41	C₂²	1	1	yes	characteristic, complemented
293	C₄×#41	C₂²	1	2	yes	complemented
294	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
295	C₂×C₄×D₄	C₂²	1	2	yes	complemented
296	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
297	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117	C₂²	1	2	yes	complemented
299	2₋¹⁺⁴	—	4	8	no	—
300	H(5,𝔽₂)	—	4	8	no	—
301	C₂×#41	—	4	8	no	—
302	C₂×#41	C₂³	1	1	yes	characteristic
303	C₂×#41	C₂³	1	1	yes	characteristic
304	C₂×#41	C₂³	1	2	yes	—
305	C₂×#41	C₂³	1	2	yes	—
306	C₂×#41	C₂³	1	1	yes	characteristic
307	C₂×#41	C₂³	1	1	yes	characteristic
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	2	yes	—
312	C₂×#41	C₂³	1	4	yes	—
313	C₂×#41	C₂³	1	2	yes	—
314	C₂×#41	C₂³	1	2	yes	—
315	C₂×#41	C₂³	1	4	yes	—
316	C₂×#41	C₂³	1	4	yes	—
317	C₂×#41	C₂³	1	4	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	4	yes	—
324	C₂²×Q₈	C₂³	1	2	yes	—
325	C₂²×Q₈	C₂³	1	2	yes	—
326	C₂²×Q₈	C₂³	1	2	yes	—
327	C₂²×Q₈	C₂³	1	2	yes	—
328	C₂²×D₄	C₂³	1	1	yes	characteristic
329	C₂²×D₄	C₂³	1	2	yes	—
330	C₂²×D₄	C₂³	1	2	yes	—
331	C₂²×D₄	C₂³	1	1	yes	characteristic
332	C₂²×D₄	C₂³	1	2	yes	—
333	C₂²×D₄	C₂³	1	4	yes	—
334	C₂²×D₄	C₂³	1	4	yes	—
335	C₂²×D₄	C₂³	1	4	yes	—
336	C₂²×D₄	C₂³	1	2	yes	—
337	C₂²×D₄	C₂³	1	4	yes	—
338	C₂³×C₄	C₂³	1	2	yes	—
339	C₂³×C₄	C₂³	1	4	yes	—
340	C₂³×C₄	C₂³	1	2	yes	—
341	C₄⋊Q₈	C₂³	1	1	yes	characteristic
342	C₄⋊Q₈	C₂³	1	2	yes	—
343	C₄⋊Q₈	C₂³	1	1	yes	characteristic
344	C₄⋊Q₈	C₂³	1	1	yes	characteristic
345	C₄⋊Q₈	C₂³	1	4	yes	—
346	C₄⋊Q₈	C₂³	1	2	yes	—
347	C₄⋊Q₈	C₂³	1	2	yes	—
348	C₄⋊Q₈	C₂³	1	2	yes	—
349	C₄⋊Q₈	C₂³	1	2	yes	—
350	C₄⋊Q₈	C₂³	1	4	yes	—
351	C₄⋊Q₈	C₂³	1	1	yes	characteristic
352	C₄⋊Q₈	C₂³	1	1	yes	characteristic
353	C₄⋊Q₈	C₂³	1	2	yes	—
354	C₄⋊Q₈	C₂³	1	4	yes	—
355	C₄⋊Q₈	C₂³	1	2	yes	—
356	C₄⋊Q₈	C₂³	1	2	yes	—
357	C₄⋊Q₈	C₂³	1	1	yes	characteristic
358	C₄⋊Q₈	C₂³	1	2	yes	—
359	C₄⋊Q₈	C₂³	1	1	yes	characteristic
360	C₄⋊Q₈	C₂³	1	4	yes	—
361	C₄⋊Q₈	C₂³	1	4	yes	—
362	C₄⋊Q₈	C₂³	1	4	yes	—
363	#127	C₂³	1	1	yes	characteristic
364	#127	C₂³	1	1	yes	characteristic
365	#127	C₂³	1	1	yes	characteristic
366	#127	C₂³	1	2	yes	—
367	#127	C₂³	1	4	yes	—
368	#127	C₂³	1	2	yes	—
369	#126	C₂³	1	2	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	4	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	2	yes	—
381	#126	C₂³	1	2	yes	—
382	#126	C₂³	1	4	yes	—
383	#126	C₂³	1	2	yes	—
384	#126	C₂³	1	4	yes	—
385	#126	C₂³	1	4	yes	—
386	#126	C₂³	1	4	yes	—
387	#126	C₂³	1	2	yes	—
388	#126	C₂³	1	2	yes	—
389	#126	C₂³	1	2	yes	—
390	#126	C₂³	1	4	yes	—
391	#126	C₂³	1	4	yes	—
392	#126	C₂³	1	4	yes	—
393	#126	C₂³	1	4	yes	—
394	#126	C₂³	1	4	yes	—
395	#126	C₂³	1	4	yes	—
396	#125	C₂³	1	1	yes	characteristic
397	#125	C₂³	1	1	yes	characteristic
398	#125	C₂³	1	2	yes	—
399	#125	C₂³	1	4	yes	—
400	#125	C₂³	1	4	yes	—
401	#125	C₂³	1	1	yes	characteristic
402	#125	C₂³	1	2	yes	—
403	#125	C₂³	1	2	yes	—
404	#125	C₂³	1	1	yes	characteristic
405	#125	C₂³	1	2	yes	—
406	#125	C₂³	1	2	yes	—
407	#125	C₂³	1	2	yes	—
408	#125	C₂³	1	2	yes	—
409	#125	C₂³	1	4	yes	—
410	#125	C₂³	1	4	yes	—
411	#125	C₂³	1	4	yes	—
412	#125	C₂³	1	4	yes	—
413	#124	C₂³	1	1	yes	characteristic
414	#124	C₂³	1	1	yes	characteristic
415	#124	C₂³	1	4	yes	—
416	#124	C₂³	1	2	yes	—
417	#124	C₂³	1	2	yes	—
418	#124	C₂³	1	2	yes	—
419	#124	C₂³	1	4	yes	—
420	#124	C₂³	1	4	yes	—
421	#124	C₂³	1	4	yes	—
422	#124	C₂³	1	2	yes	—
423	#124	C₂³	1	2	yes	—
424	#124	C₂³	1	4	yes	—
425	#124	C₂³	1	2	yes	—
426	#124	C₂³	1	4	yes	—
427	#124	C₂³	1	4	yes	—
428	#124	C₂³	1	2	yes	—
429	#124	C₂³	1	4	yes	—
430	#124	C₂³	1	4	yes	—
431	#124	C₂³	1	4	yes	—
432	#124	C₂³	1	2	yes	—
433	#124	C₂³	1	1	yes	characteristic
434	#124	C₂³	1	2	yes	—
435	#124	C₂³	1	1	yes	characteristic
436	#124	C₂³	1	4	yes	—
437	#124	C₂³	1	2	yes	—
438	#124	C₂³	1	4	yes	—
439	#124	C₂³	1	2	yes	—
440	#124	C₂³	1	2	yes	—
441	#124	C₂³	1	2	yes	—
442	#124	C₂³	1	2	yes	—
443	#124	C₂³	1	4	yes	—
444	#124	C₂³	1	2	yes	—
445	#124	C₂³	1	4	yes	—
446	#124	C₂³	1	4	yes	—
447	#124	C₂³	1	4	yes	—
448	#124	C₂³	1	4	yes	—
449	#124	C₂³	1	4	yes	—
450	#124	C₂³	1	4	yes	—
451	#124	C₂³	1	4	yes	—
452	#123	C₂³	1	4	yes	—
453	#123	C₂³	1	2	yes	—
454	#123	C₂³	1	2	yes	—
455	#123	C₂³	1	2	yes	—
456	#123	C₂³	1	4	yes	—
457	#123	C₂³	1	4	yes	—
458	#123	C₂³	1	4	yes	—
459	#123	C₂³	1	4	yes	—
460	#123	C₂³	1	4	yes	—
461	#123	C₂³	1	4	yes	—
462	#123	C₂³	1	4	yes	—
463	#123	C₂³	1	4	yes	—
464	#123	C₂³	1	4	yes	—
465	#123	C₂³	1	4	yes	—
466	#123	C₂³	1	4	yes	—
467	#123	C₂³	1	2	yes	—
468	#123	C₂³	1	4	yes	—
469	#123	C₂³	1	4	yes	—
470	#123	C₂³	1	2	yes	—
471	#123	C₂³	1	4	yes	—
472	#123	C₂³	1	4	yes	—
473	#123	C₂³	1	2	yes	—
474	#123	C₂³	1	2	yes	—
475	#123	C₂³	1	2	yes	—
476	#123	C₂³	1	4	yes	—
477	#123	C₂³	1	4	yes	—
478	#123	C₂³	1	4	yes	—
479	#123	C₂³	1	4	yes	—
480	#123	C₂³	1	2	yes	—
481	#123	C₂³	1	2	yes	—
482	#123	C₂³	1	4	yes	—
483	#123	C₂³	1	2	yes	—
484	#123	C₂³	1	2	yes	—
485	#123	C₂³	1	4	yes	—
486	#123	C₂³	1	2	yes	—
487	#123	C₂³	1	2	yes	—
488	#123	C₂³	1	2	yes	—
489	#123	C₂³	1	2	yes	—
490	#123	C₂³	1	4	yes	—
491	#123	C₂³	1	4	yes	—
492	#123	C₂³	1	4	yes	—
493	#123	C₂³	1	4	yes	—
494	#123	C₂³	1	4	yes	—
495	#123	C₂³	1	4	yes	—
496	#123	C₂³	1	4	yes	—
497	#123	C₂³	1	4	yes	—
498	#123	C₂³	1	4	yes	—
499	#123	C₂³	1	4	yes	—
500	#123	C₂³	1	4	yes	—
501	#123	C₂³	1	4	yes	—
502	#123	C₂³	1	4	yes	—
503	#123	C₂³	1	4	yes	—
504	#123	C₂³	1	4	yes	—
505	#123	C₂³	1	4	yes	—
506	C₂²⋊Q₈	C₂³	1	4	yes	—
507	C₂²⋊Q₈	C₂³	1	2	yes	—
508	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
509	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
510	C₂²⋊Q₈	C₂³	1	2	yes	—
511	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
516	C₂²⋊Q₈	C₂³	1	2	yes	—
517	C₂²⋊Q₈	C₂³	1	4	yes	—
518	C₂²⋊Q₈	C₂³	1	2	yes	—
519	C₂²⋊Q₈	C₂³	1	2	yes	—
520	C₂²⋊Q₈	C₂³	1	4	yes	—
521	C₂²⋊Q₈	C₂³	1	4	yes	—
522	C₂²⋊Q₈	C₂³	1	4	yes	—
523	C₂²⋊Q₈	C₂³	1	4	yes	—
524	C₂²⋊Q₈	C₂³	1	4	yes	—
525	C₂²⋊Q₈	C₂³	1	2	yes	—
526	C₂²⋊Q₈	C₂³	1	2	yes	—
527	C₂²⋊Q₈	C₂³	1	4	yes	—
528	C₂²⋊Q₈	C₂³	1	2	yes	—
529	C₂²⋊Q₈	C₂³	1	2	yes	—
530	C₂²⋊Q₈	C₂³	1	2	yes	—
531	C₂²⋊Q₈	C₂³	1	2	yes	—
532	C₂²⋊Q₈	C₂³	1	2	yes	—
533	C₂²⋊Q₈	C₂³	1	4	yes	—
534	C₂²⋊Q₈	C₂³	1	2	yes	—
535	C₂²⋊Q₈	C₂³	1	2	yes	—
536	C₂²⋊Q₈	C₂³	1	4	yes	—
537	C₂²⋊Q₈	C₂³	1	2	yes	—
538	C₂²⋊Q₈	C₂³	1	2	yes	—
539	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
540	C₂²⋊Q₈	C₂³	1	2	yes	—
541	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
542	C₂²⋊Q₈	C₂³	1	2	yes	—
543	C₂²⋊Q₈	C₂³	1	4	yes	—
544	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
545	C₂²⋊Q₈	C₂³	1	2	yes	—
546	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
547	C₂²⋊Q₈	C₂³	1	2	yes	—
548	C₂²⋊Q₈	C₂³	1	2	yes	—
549	C₂²⋊Q₈	C₂³	1	2	yes	—
550	C₂²⋊Q₈	C₂³	1	4	yes	—
551	C₂²⋊Q₈	C₂³	1	2	yes	—
552	C₂²⋊Q₈	C₂³	1	4	yes	—
553	C₂²⋊Q₈	C₂³	1	4	yes	—
554	C₂²⋊Q₈	C₂³	1	4	yes	—
555	C₂²⋊Q₈	C₂³	1	4	yes	—
556	C₂²⋊Q₈	C₂³	1	4	yes	—
557	C₂²⋊Q₈	C₂³	1	4	yes	—
558	C₂²⋊Q₈	C₂³	1	4	yes	—
559	C₂²⋊Q₈	C₂³	1	4	yes	—
560	C₂²⋊Q₈	C₂³	1	4	yes	—
561	C₂²⋊Q₈	C₂³	1	4	yes	—
562	C₂²⋊Q₈	C₂³	1	4	yes	—
563	C₂²⋊Q₈	C₂³	1	4	yes	—
564	C₂²⋊Q₈	C₂³	1	4	yes	—
565	C₂²⋊Q₈	C₂³	1	4	yes	—
566	C₂²⋊Q₈	C₂³	1	4	yes	—
567	C₂²⋊Q₈	C₂³	1	4	yes	—
568	C₂²⋊Q₈	C₂³	1	4	yes	—
569	#121	C₂³	1	1	yes	characteristic
570	#121	C₂³	1	2	yes	—
571	#121	C₂³	1	4	yes	—
572	#121	C₂³	1	2	yes	—
573	#121	C₂³	1	2	yes	—
574	#121	C₂³	1	4	yes	—
575	#121	C₂³	1	1	yes	characteristic
576	#121	C₂³	1	2	yes	—
577	#121	C₂³	1	2	yes	—
578	#121	C₂³	1	4	yes	—
579	#121	C₂³	1	4	yes	—
580	#121	C₂³	1	2	yes	—
581	#121	C₂³	1	1	yes	characteristic
582	#121	C₂³	1	1	yes	characteristic
583	#121	C₂³	1	2	yes	—
584	#121	C₂³	1	2	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	2	yes	—
590	#121	C₂³	1	2	yes	—
591	#121	C₂³	1	2	yes	—
592	#121	C₂³	1	4	yes	—
593	#121	C₂³	1	4	yes	—
594	#121	C₂³	1	2	yes	—
595	#121	C₂³	1	2	yes	—
596	#121	C₂³	1	4	yes	—
597	#121	C₂³	1	2	yes	—
598	#121	C₂³	1	4	yes	—
599	#121	C₂³	1	1	yes	characteristic
600	#121	C₂³	1	2	yes	—
601	#121	C₂³	1	1	yes	characteristic
602	#121	C₂³	1	2	yes	—
603	#121	C₂³	1	2	yes	—
604	#121	C₂³	1	2	yes	—
605	#121	C₂³	1	4	yes	—
606	#121	C₂³	1	4	yes	—
607	#121	C₂³	1	2	yes	—
608	#121	C₂³	1	2	yes	—
609	#121	C₂³	1	1	yes	characteristic
610	#121	C₂³	1	4	yes	—
611	#121	C₂³	1	1	yes	characteristic
612	#121	C₂³	1	2	yes	—
613	#121	C₂³	1	2	yes	—
614	#121	C₂³	1	2	yes	—
615	#121	C₂³	1	2	yes	—
616	#121	C₂³	1	2	yes	—
617	#121	C₂³	1	2	yes	—
618	#121	C₂³	1	2	yes	—
619	#121	C₂³	1	4	yes	—
620	#121	C₂³	1	4	yes	—
621	#121	C₂³	1	4	yes	—
622	#121	C₂³	1	4	yes	—
623	#121	C₂³	1	4	yes	—
624	#121	C₂³	1	4	yes	—
625	#121	C₂³	1	4	yes	—
626	#121	C₂³	1	4	yes	—
627	#121	C₂³	1	4	yes	—
628	#121	C₂³	1	4	yes	—
629	#121	C₂³	1	4	yes	—
630	#121	C₂³	1	4	yes	—
631	#121	C₂³	1	4	yes	—
632	#121	C₂³	1	4	yes	—
633	#121	C₂³	1	4	yes	—
634	#120	C₂³	1	2	yes	—
635	#120	C₂³	1	2	yes	—
636	#120	C₂³	1	2	yes	—
637	#120	C₂³	1	4	yes	—
638	#120	C₂³	1	4	yes	—
639	#120	C₂³	1	4	yes	—
640	#120	C₂³	1	4	yes	—
641	#120	C₂³	1	2	yes	—
642	#120	C₂³	1	4	yes	—
643	#120	C₂³	1	4	yes	—
644	#120	C₂³	1	2	yes	—
645	#120	C₂³	1	2	yes	—
646	#120	C₂³	1	4	yes	—
647	#120	C₂³	1	4	yes	—
648	#120	C₂³	1	4	yes	—
649	#120	C₂³	1	4	yes	—
650	#120	C₂³	1	4	yes	—
651	#120	C₂³	1	4	yes	—
652	#120	C₂³	1	4	yes	—
653	C₄×Q₈	C₂³	1	1	yes	characteristic
654	C₄×Q₈	C₂³	1	2	yes	—
655	C₄×Q₈	C₂³	1	4	yes	—
656	C₄×Q₈	C₂³	1	2	yes	—
657	C₄×Q₈	C₂³	1	2	yes	—
658	C₄×Q₈	C₂³	1	4	yes	—
659	C₄×Q₈	C₂³	1	1	yes	characteristic
660	C₄×Q₈	C₂³	1	1	yes	characteristic
661	C₄×Q₈	C₂³	1	1	yes	characteristic
662	C₄×Q₈	C₂³	1	1	yes	characteristic
663	C₄×Q₈	C₂³	1	1	yes	characteristic
664	C₄×Q₈	C₂³	1	2	yes	—
665	C₄×Q₈	C₂³	1	2	yes	—
666	C₄×Q₈	C₂³	1	1	yes	characteristic
667	C₄×Q₈	C₂³	1	1	yes	characteristic
668	C₄×Q₈	C₂³	1	2	yes	—
669	C₄×Q₈	C₂³	1	2	yes	—
670	C₄×Q₈	C₂³	1	2	yes	—
671	C₄×Q₈	C₂³	1	2	yes	—
672	C₄×Q₈	C₂³	1	2	yes	—
673	C₄×Q₈	C₂³	1	4	yes	—
674	C₄×D₄	C₂³	1	1	yes	characteristic
675	C₄×D₄	C₂³	1	1	yes	characteristic
676	C₄×D₄	C₂³	1	2	yes	—
677	C₄×D₄	C₂³	1	1	yes	characteristic
678	C₄×D₄	C₂³	1	1	yes	characteristic
679	C₄×D₄	C₂³	1	4	yes	—
680	C₄×D₄	C₂³	1	2	yes	—
681	C₄×D₄	C₂³	1	2	yes	—
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	1	yes	characteristic
686	C₄×D₄	C₂³	1	2	yes	—
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	1	yes	characteristic
692	C₄×D₄	C₂³	1	1	yes	characteristic
693	C₄×D₄	C₂³	1	1	yes	characteristic
694	C₄×D₄	C₂³	1	2	yes	—
695	C₄×D₄	C₂³	1	1	yes	characteristic
696	C₄×D₄	C₂³	1	2	yes	—
697	C₄×D₄	C₂³	1	1	yes	characteristic
698	C₄×D₄	C₂³	1	2	yes	—
699	C₄×D₄	C₂³	1	2	yes	—
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	1	yes	characteristic
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	4	yes	—
709	C₄×D₄	C₂³	1	1	yes	characteristic
710	C₄×D₄	C₂³	1	4	yes	—
711	C₄×D₄	C₂³	1	4	yes	—
712	C₄×D₄	C₂³	1	4	yes	—
713	C₄×D₄	C₂³	1	4	yes	—
714	C₄×D₄	C₂³	1	2	yes	—
715	C₄×D₄	C₂³	1	2	yes	—
716	C₄×D₄	C₂³	1	2	yes	—
717	C₄×D₄	C₂³	1	2	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	2	yes	—
723	C₄×D₄	C₂³	1	2	yes	—
724	C₄×D₄	C₂³	1	4	yes	—
725	C₄×D₄	C₂³	1	4	yes	—
726	C₄×D₄	C₂³	1	2	yes	—
727	C₄×D₄	C₂³	1	4	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	2	yes	—
732	C₄×D₄	C₂³	1	2	yes	—
733	C₄×D₄	C₂³	1	2	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	4	yes	—
740	C₄×D₄	C₂³	1	2	yes	—
741	C₄×D₄	C₂³	1	4	yes	—
742	C₄×D₄	C₂³	1	4	yes	—
743	C₄×D₄	C₂³	1	2	yes	—
744	#117	C₂³	1	1	yes	characteristic
745	#117	C₂³	1	2	yes	—
746	#117	C₂³	1	2	yes	—
747	#117	C₂³	1	2	yes	—
748	#117	C₂³	1	2	yes	—
749	#117	C₂³	1	2	yes	—
750	#117	C₂³	1	2	yes	—
751	#117	C₂³	1	2	yes	—
752	#117	C₂³	1	1	yes	characteristic
753	#117	C₂³	1	2	yes	—
754	#117	C₂³	1	1	yes	characteristic
755	#117	C₂³	1	1	yes	characteristic
756	#117	C₂³	1	4	yes	—
757	#117	C₂³	1	2	yes	—
758	#117	C₂³	1	1	yes	characteristic
759	#117	C₂³	1	2	yes	—
760	#117	C₂³	1	1	yes	characteristic
761	#117	C₂³	1	2	yes	—
762	#117	C₂³	1	2	yes	—
763	#117	C₂³	1	2	yes	—
764	#117	C₂³	1	2	yes	—
765	#117	C₂³	1	2	yes	—
766	#117	C₂³	1	4	yes	—
767	#117	C₂³	1	4	yes	—
768	#117	C₂³	1	4	yes	—
769	#117	C₂³	1	4	yes	—
770	#117	C₂³	1	2	yes	—
771	#117	C₂³	1	4	yes	—
772	#117	C₂³	1	4	yes	—
773	#117	C₂³	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³	1	2	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	2	yes	—
780	C₂×C₄⋊C₄	C₂³	1	4	yes	—
781	C₂×C₄⋊C₄	C₂³	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³	1	4	yes	—
783	C₂×C₄⋊C₄	C₂³	1	2	yes	—
784	C₂×C₄⋊C₄	C₂³	1	4	yes	—
785	C₂×C₄⋊C₄	C₂³	1	4	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×C₄⋊C₄	C₂³	1	2	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	2	yes	—
794	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂³	1	4	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×C₄²	C₂³	1	2	yes	—
807	C₂×C₄²	C₂³	1	2	yes	—
808	C₂×C₄²	C₂³	1	1	yes	characteristic
809	C₂×C₄²	C₂³	1	1	yes	characteristic
810	C₂×C₄²	C₂³	1	4	yes	—
811	C₂×C₄²	C₂³	1	2	yes	—
812	C₂×C₄²	C₂³	1	1	yes	characteristic
813	C₂⁴	C₂⁴	1	4	yes	—
814	C₂⁴	C₂⁴	1	2	yes	—
815	C₂⁴	C₂⁴	1	4	yes	—
816	C₂⁴	C₂⁴	1	2	yes	—
817	#41	—	2	4	no	—
818	#41	—	2	8	no	—
819	#41	—	2	8	no	—
820	#41	—	2	4	no	—
821	#41	—	4	2	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	8	no	—
829	#41	—	4	8	no	—
830	#41	—	4	4	no	—
831	#41	—	4	4	no	—
832	#41	—	4	4	no	—
833	#41	—	4	2	no	—
834	#41	—	4	4	no	—
835	#41	—	4	4	no	—
836	#41	—	4	4	no	—
837	C₂×Q₈	—	4	8	no	—
838	C₂×Q₈	—	4	4	no	—
839	C₂×Q₈	—	4	4	no	—
840	C₂×Q₈	—	4	4	no	—
841	C₂×Q₈	—	4	4	no	—
842	C₂×Q₈	—	4	4	no	—
843	C₂×Q₈	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
848	C₂×Q₈	C₂⁴	1	2	yes	—
849	C₂×Q₈	C₂⁴	1	2	yes	—
850	C₂×Q₈	C₂⁴	1	1	yes	characteristic
851	C₂×Q₈	C₂⁴	1	4	yes	—
852	C₂×Q₈	C₂⁴	1	4	yes	—
853	C₂×Q₈	C₂⁴	1	4	yes	—
854	C₂×Q₈	C₂⁴	1	2	yes	—
855	C₂×Q₈	C₂⁴	1	4	yes	—
856	C₂×Q₈	C₂⁴	1	4	yes	—
857	C₂×Q₈	C₂⁴	1	2	yes	—
858	C₂×D₄	—	2	8	no	—
859	C₂×D₄	—	2	4	no	—
860	C₂×D₄	—	4	4	no	—
861	C₂×D₄	—	4	4	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	4	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	2	yes	—
870	C₂×D₄	C₂⁴	1	1	yes	characteristic
871	C₂×D₄	C₂⁴	1	1	yes	characteristic
872	C₂×D₄	C₂⁴	1	2	yes	—
873	C₂×D₄	C₂⁴	1	4	yes	—
874	C₂×D₄	C₂⁴	1	4	yes	—
875	C₂×D₄	C₂⁴	1	2	yes	—
876	C₂×D₄	C₂⁴	1	4	yes	—
877	C₂×D₄	C₂⁴	1	2	yes	—
878	C₂×D₄	C₂⁴	1	1	yes	characteristic
879	C₂×D₄	C₂⁴	1	2	yes	—
880	C₂×D₄	C₂⁴	1	2	yes	—
881	C₂×D₄	C₂⁴	1	2	yes	—
882	C₂×D₄	C₂⁴	1	2	yes	—
883	C₂×D₄	C₂⁴	1	2	yes	—
884	C₂×D₄	C₂⁴	1	2	yes	—
885	C₂×D₄	C₂⁴	1	2	yes	—
886	C₂×D₄	C₂⁴	1	2	yes	—
887	C₂×D₄	C₂⁴	1	4	yes	—
888	C₂×D₄	C₂⁴	1	1	yes	characteristic
889	C₂×D₄	C₂⁴	1	2	yes	—
890	C₂×D₄	C₂⁴	1	4	yes	—
891	C₂×D₄	C₂⁴	1	4	yes	—
892	C₂×D₄	C₂⁴	1	1	yes	characteristic
893	C₂×D₄	C₂⁴	1	4	yes	—
894	C₂×D₄	C₂⁴	1	4	yes	—
895	C₂×D₄	C₂⁴	1	2	yes	—
896	C₂×D₄	C₂⁴	1	1	yes	characteristic
897	C₂×D₄	C₂⁴	1	2	yes	—
898	C₂×D₄	C₂⁴	1	2	yes	—
899	C₂×D₄	C₂⁴	1	4	yes	—
900	C₂×D₄	C₂⁴	1	4	yes	—
901	C₂×D₄	C₂⁴	1	4	yes	—
902	C₂×D₄	C₂⁴	1	2	yes	—
903	C₂×D₄	C₂⁴	1	2	yes	—
904	C₂×D₄	C₂⁴	1	4	yes	—
905	C₂×D₄	C₂⁴	1	2	yes	—
906	C₂×D₄	C₂⁴	1	4	yes	—
907	C₂×D₄	C₂⁴	1	2	yes	—
908	C₂×D₄	C₂⁴	1	1	yes	characteristic
909	C₂²×C₄	—	4	4	no	—
910	C₂²×C₄	—	4	4	no	—
911	C₂²×C₄	—	4	8	no	—
912	C₂²×C₄	C₂⁴	1	2	yes	—
913	C₂²×C₄	C₂⁴	1	2	yes	—
914	C₂²×C₄	C₂⁴	1	2	yes	—
915	C₂²×C₄	C₂⁴	1	4	yes	—
916	C₂²×C₄	C₂⁴	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴	1	2	yes	—
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	2	yes	—
927	C₂²×C₄	C₂⁴	1	2	yes	—
928	C₂²×C₄	C₂⁴	1	2	yes	—
929	C₂²×C₄	C₂⁴	1	4	yes	—
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	2	yes	—
934	C₂²×C₄	C₂⁴	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴	1	2	yes	—
936	C₂²×C₄	C₂⁴	1	4	yes	—
937	C₂²×C₄	C₂⁴	1	4	yes	—
938	C₂²×C₄	C₂⁴	1	2	yes	—
939	C₂²×C₄	C₂⁴	1	4	yes	—
940	C₂²×C₄	C₂⁴	1	4	yes	—
941	C₂²×C₄	C₂⁴	1	2	yes	—
942	C₂²×C₄	C₂⁴	1	4	yes	—
943	C₂²×C₄	C₂⁴	1	4	yes	—
944	C₂²×C₄	C₂⁴	1	4	yes	—
945	C₂²×C₄	C₂⁴	1	2	yes	—
946	C₂²×C₄	C₂⁴	1	4	yes	—
947	C₂²×C₄	C₂⁴	1	2	yes	—
948	C₂²×C₄	C₂⁴	1	4	yes	—
949	C₂²×C₄	C₂⁴	1	4	yes	—
950	C₂²×C₄	C₂⁴	1	2	yes	—
951	C₂²×C₄	C₂⁴	1	4	yes	—
952	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴	1	2	yes	—
954	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
955	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴	1	2	yes	—
957	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
958	C₄⋊C₄	C₂⁴	1	4	yes	—
959	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
960	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴	1	2	yes	—
962	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴	1	2	yes	—
964	C₄⋊C₄	C₂⁴	1	4	yes	—
965	C₄⋊C₄	C₂⁴	1	2	yes	—
966	C₄⋊C₄	C₂⁴	1	4	yes	—
967	C₄⋊C₄	C₂⁴	1	4	yes	—
968	C₄⋊C₄	C₂⁴	1	2	yes	—
969	C₄⋊C₄	C₂⁴	1	2	yes	—
970	C₄⋊C₄	C₂⁴	1	4	yes	—
971	C₄⋊C₄	C₂⁴	1	4	yes	—
972	C₄⋊C₄	C₂⁴	1	2	yes	—
973	C₄⋊C₄	C₂⁴	1	2	yes	—
974	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴	1	2	yes	—
976	C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₄⋊C₄	C₂⁴	1	2	yes	—
978	C₄⋊C₄	C₂⁴	1	2	yes	—
979	C₄⋊C₄	C₂⁴	1	2	yes	—
980	C₄⋊C₄	C₂⁴	1	2	yes	—
981	C₄⋊C₄	C₂⁴	1	4	yes	—
982	C₄⋊C₄	C₂⁴	1	2	yes	—
983	C₄⋊C₄	C₂⁴	1	4	yes	—
984	C₄⋊C₄	C₂⁴	1	2	yes	—
985	C₄⋊C₄	C₂⁴	1	2	yes	—
986	C₄⋊C₄	C₂⁴	1	4	yes	—
987	C₄⋊C₄	C₂⁴	1	4	yes	—
988	C₄⋊C₄	C₂⁴	1	4	yes	—
989	C₄⋊C₄	C₂⁴	1	4	yes	—
990	C₄⋊C₄	C₂⁴	1	4	yes	—
991	C₄⋊C₄	C₂⁴	1	4	yes	—
992	C₄⋊C₄	C₂⁴	1	4	yes	—
993	C₄⋊C₄	C₂⁴	1	4	yes	—
994	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	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	1	yes	characteristic
1008	C₄⋊C₄	C₂⁴	1	2	yes	—
1009	C₄⋊C₄	C₂⁴	1	4	yes	—
1010	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
1011	C₄⋊C₄	C₂⁴	1	2	yes	—
1012	C₄⋊C₄	C₂⁴	1	2	yes	—
1013	C₄⋊C₄	C₂⁴	1	2	yes	—
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	C₂²⋊C₄	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄	C₂⁴	1	2	yes	—
1022	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1023	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1024	C₂²⋊C₄	C₂⁴	1	2	yes	—
1025	C₂²⋊C₄	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂²⋊C₄	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂²⋊C₄	C₂⁴	1	2	yes	—
1031	C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
1036	C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄	C₂⁴	1	2	yes	—
1041	C₂²⋊C₄	C₂⁴	1	2	yes	—
1042	C₂²⋊C₄	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄	C₂⁴	1	2	yes	—
1044	C₂²⋊C₄	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄	C₂⁴	1	2	yes	—
1046	C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄	C₂⁴	1	4	yes	—
1048	C₂²⋊C₄	C₂⁴	1	2	yes	—
1049	C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
1057	C₂²⋊C₄	C₂⁴	1	4	yes	—
1058	C₂²⋊C₄	C₂⁴	1	4	yes	—
1059	C₂²⋊C₄	C₂⁴	1	4	yes	—
1060	C₂²⋊C₄	C₂⁴	1	4	yes	—
1061	C₂²⋊C₄	C₂⁴	1	2	yes	—
1062	C₂²⋊C₄	C₂⁴	1	4	yes	—
1063	C₂²⋊C₄	C₂⁴	1	2	yes	—
1064	C₂²⋊C₄	C₂⁴	1	2	yes	—
1065	C₂²⋊C₄	C₂⁴	1	4	yes	—
1066	C₂²⋊C₄	C₂⁴	1	4	yes	—
1067	C₂²⋊C₄	C₂⁴	1	4	yes	—
1068	C₂²⋊C₄	C₂⁴	1	4	yes	—
1069	C₂²⋊C₄	C₂⁴	1	4	yes	—
1070	C₂²⋊C₄	C₂⁴	1	2	yes	—
1071	C₂²⋊C₄	C₂⁴	1	2	yes	—
1072	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1073	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1074	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1075	C₂²⋊C₄	C₂⁴	1	2	yes	—
1076	C₂²⋊C₄	C₂⁴	1	2	yes	—
1077	C₂²⋊C₄	C₂⁴	1	4	yes	—
1078	C₂²⋊C₄	C₂⁴	1	2	yes	—
1079	C₂²⋊C₄	C₂⁴	1	4	yes	—
1080	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1081	C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
1086	C₂²⋊C₄	C₂⁴	1	2	yes	—
1087	C₂²⋊C₄	C₂⁴	1	4	yes	—
1088	C₂²⋊C₄	C₂⁴	1	2	yes	—
1089	C₂²⋊C₄	C₂⁴	1	2	yes	—
1090	C₄²	C₂⁴	1	1	yes	characteristic
1091	C₄²	C₂⁴	1	1	yes	characteristic
1092	C₄²	C₂⁴	1	1	yes	characteristic
1093	C₄²	C₂⁴	1	1	yes	characteristic
1094	C₄²	C₂⁴	1	2	yes	—
1095	C₄²	C₂⁴	1	2	yes	—
1096	C₄²	C₂⁴	1	2	yes	—
1097	C₄²	C₂⁴	1	1	yes	characteristic
1098	C₄²	C₂⁴	1	2	yes	—
1099	C₄²	C₂⁴	1	2	yes	—
1100	C₄²	C₂⁴	1	4	yes	—
1101	C₄²	C₂⁴	1	1	yes	characteristic
1102	C₄²	C₂⁴	1	1	yes	characteristic
1103	C₄²	C₂⁴	1	2	yes	—
1104	C₄²	C₂⁴	1	2	yes	—
1105	C₄²	C₂⁴	1	1	yes	characteristic
1106	C₄²	C₂⁴	1	2	yes	—
1107	C₄²	C₂⁴	1	2	yes	—
1108	C₄²	C₂⁴	1	1	yes	characteristic
1109	C₄²	C₂⁴	1	4	yes	—
1110	C₄²	C₂⁴	1	1	yes	characteristic
1111	C₄²	C₂⁴	1	4	yes	—
1112	C₄²	C₂⁴	1	4	yes	—
1113	C₄²	C₂⁴	1	4	yes	—
1114	C₄²	C₂⁴	1	4	yes	—
1115	C₂³	—	2	8	no	—
1116	C₂³	—	2	4	no	—
1117	C₂³	—	4	2	no	—
1118	C₂³	—	4	2	no	—
1119	C₂³	—	4	4	no	—
1120	C₂³	—	4	2	no	—
1121	C₂³	—	4	2	no	—
1122	C₂³	—	4	4	no	—
1123	C₂³	—	4	2	no	—
1124	C₂³	—	4	4	no	—
1125	C₂³	—	4	4	no	—
1126	C₂³	—	4	4	no	—
1127	C₂³	C₂⁵	1	2	yes	—
1128	C₂³	C₂⁵	1	2	yes	—
1129	C₂³	C₂⁵	1	1	yes	characteristic
1130	C₂³	C₂⁵	1	2	yes	—
1131	C₂³	C₂⁵	1	1	yes	characteristic
1132	C₂³	C₂⁵	1	4	yes	—
1133	C₂³	C₂⁵	1	2	yes	—
1134	C₂³	C₂⁵	1	1	yes	characteristic
1135	C₂³	C₂⁵	1	2	yes	—
1136	Q₈	—	2	2	no	—
1137	Q₈	—	2	4	no	—
1138	Q₈	—	2	2	no	—
1139	Q₈	—	2	4	no	—
1140	Q₈	—	2	2	no	—
1141	Q₈	—	2	4	no	—
1142	Q₈	—	4	2	no	—
1143	Q₈	—	4	4	no	—
1144	Q₈	—	4	4	no	—
1145	Q₈	—	4	4	no	—
1146	Q₈	—	4	4	no	—
1147	Q₈	—	4	4	no	—
1148	Q₈	—	4	2	no	—
1149	Q₈	—	4	1	no	—
1150	Q₈	—	4	2	no	—
1151	D₄	—	2	4	no	—
1152	D₄	—	2	8	no	—
1153	D₄	—	2	4	no	—
1154	D₄	—	2	8	no	—
1155	D₄	—	2	8	no	—
1156	D₄	—	2	4	no	—
1157	D₄	—	2	2	no	—
1158	D₄	—	2	4	no	—
1159	D₄	—	2	2	no	—
1160	D₄	—	2	4	no	—
1161	D₄	—	2	2	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	4	2	no	—
1164	D₄	—	4	4	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	4	2	no	—
1167	D₄	—	4	4	no	—
1168	D₄	—	4	4	no	—
1169	D₄	—	4	4	no	—
1170	D₄	—	4	2	no	—
1171	D₄	—	4	4	no	—
1172	D₄	—	4	4	no	—
1173	D₄	—	4	4	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	4	2	no	—
1177	D₄	—	4	2	no	—
1178	D₄	—	4	2	no	—
1179	D₄	—	4	2	no	—
1180	D₄	—	4	4	no	—
1181	D₄	—	4	2	no	—
1182	D₄	—	4	1	no	—
1183	D₄	—	4	1	no	—
1184	D₄	—	4	1	no	—
1185	D₄	—	4	4	no	—
1186	D₄	—	4	4	no	—
1187	D₄	—	4	2	no	—
1188	D₄	—	4	2	no	—
1189	D₄	—	4	2	no	—
1190	D₄	—	4	2	no	—
1191	D₄	H(5,𝔽₂)	1	4	yes	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	8	no	—
1194	C₂×C₄	—	2	8	no	—
1195	C₂×C₄	—	2	4	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	4	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	4	no	—
1204	C₂×C₄	—	2	4	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	4	2	no	—
1208	C₂×C₄	—	4	2	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	4	2	no	—
1213	C₂×C₄	—	4	4	no	—
1214	C₂×C₄	—	4	2	no	—
1215	C₂×C₄	—	4	4	no	—
1216	C₂×C₄	—	4	1	no	—
1217	C₂×C₄	—	4	2	no	—
1218	C₂×C₄	—	4	2	no	—
1219	C₂×C₄	—	4	1	no	—
1220	C₂×C₄	—	4	2	no	—
1221	C₂×C₄	—	4	4	no	—
1222	C₂×C₄	—	4	1	no	—
1223	C₂×C₄	—	4	4	no	—
1224	C₂×C₄	—	4	4	no	—
1225	C₂×C₄	—	4	4	no	—
1226	C₂×C₄	—	4	4	no	—
1227	C₂×C₄	—	4	4	no	—
1228	C₂×C₄	—	4	4	no	—
1229	C₂×C₄	—	4	4	no	—
1230	C₂×C₄	—	4	4	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	C₂⁵	1	1	yes	characteristic
1233	C₂×C₄	C₂⁵	1	1	yes	characteristic
1234	C₂×C₄	C₂⁵	1	2	yes	—
1235	C₂×C₄	C₂⁵	1	2	yes	—
1236	C₂×C₄	C₂⁵	1	2	yes	—
1237	C₂×C₄	C₂⁵	1	1	yes	characteristic
1238	C₂×C₄	C₂⁵	1	1	yes	characteristic
1239	C₂×C₄	C₂⁵	1	2	yes	—
1240	C₂×C₄	C₂⁵	1	2	yes	—
1241	C₂×C₄	C₂⁵	1	4	yes	—
1242	C₂×C₄	C₂⁵	1	1	yes	characteristic
1243	C₂×C₄	C₂⁵	1	1	yes	characteristic
1244	C₂×C₄	C₂⁵	1	1	yes	characteristic
1245	C₂×C₄	C₂⁵	1	2	yes	—
1246	C₂×C₄	C₂⁵	1	1	yes	characteristic
1247	C₂×C₄	C₂⁵	1	1	yes	characteristic
1248	C₂×C₄	C₂⁵	1	2	yes	—
1249	C₂×C₄	C₂⁵	1	2	yes	—
1250	C₂×C₄	C₂⁵	1	4	yes	—
1251	C₂×C₄	C₂⁵	1	2	yes	—
1252	C₂×C₄	C₂⁵	1	2	yes	—
1253	C₂×C₄	C₂⁵	1	4	yes	—
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	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	2	4	no	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	1	no	—
1277	C₂²	—	2	1	no	—
1278	C₂²	—	2	1	no	—
1279	C₂²	—	2	4	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	8	4	no	—
1285	C₂²	—	8	8	no	—
1286	C₂²	—	8	4	no	—
1287	C₂²	—	16	4	no	—
1288	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
1289	C₂²	C₂⁶	1	1	yes	characteristic
1290	C₄	—	2	1	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	4	no	—
1298	C₄	—	2	4	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	1	no	—
1303	C₄	—	2	1	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	1	no	—
1308	C₄	—	2	1	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	1	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	1	no	—
1314	C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1315	C₄	#585	1	2	yes	—
1316	C₂	—	2	4	no	—
1317	C₂	—	4	1	no	—
1318	C₂	—	4	2	no	—
1319	C₂	—	4	1	no	—
1320	C₂	—	4	1	no	—
1321	C₂	—	4	2	no	—
1322	C₂	—	4	4	no	—
1323	C₂	—	4	2	no	—
1324	C₂	—	4	2	no	—
1325	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1326	C₂	C₂×#585	1	1	yes	characteristic
1327	C₂	2₋¹⁺⁶	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. #3561	C₂	semidirect
2. #3560	C₂	semidirect
3. #3558	C₂	semidirect
4. #3554	C₂	semidirect
5. #3552	C₂	semidirect
6. #3550	C₂	semidirect
7. #3547	C₂	semidirect
8. #3546	C₂	semidirect
9. #3545	C₂	semidirect
10. #3544	C₂	semidirect
11. #3542	C₂	semidirect
12. #3541	C₂	semidirect
13. #3540	C₂	semidirect
14. #3536	C₂	semidirect
15. #3535	C₂	semidirect
16. #3533	C₂	semidirect
17. #3522	C₂	semidirect
18. #3521	C₂	semidirect
19. #3520	C₂	semidirect
20. #3520	C₂	semidirect
21. #3514	C₂	semidirect
22. #3514	C₂	semidirect
23. #3513	C₂	semidirect
24. #3511	C₂	semidirect
25. #3500	C₂	semidirect
26. #3499	C₂	semidirect
27. #3496	C₂	semidirect
28. #3494	C₂	semidirect
29. #3489	C₂	semidirect
30. #3485	C₂	semidirect
31. #3482	C₂	semidirect
32. #3475	C₂	semidirect
33. D₄×#41	C₂	semidirect
34. #3460	C₂	semidirect
35. C₂×#542	C₂	semidirect
36. C₂×2₋¹⁺⁴	C₂²	semidirect
37. C₂×H(5,𝔽₂)	C₂²	semidirect
38. C₂²×#41	C₂²	semidirect
39. #563	C₂²	semidirect
40. #563	C₂²	semidirect
41. #563	C₂²	semidirect
42. #563	C₂²	semidirect
43. #562	C₂²	semidirect
44. #562	C₂²	semidirect
45. #562	C₂²	semidirect
46. #562	C₂²	semidirect
47. #562	C₂²	semidirect
48. H(3,𝔽₄)	C₂²	semidirect
49. #560	C₂²	semidirect
50. #560	C₂²	semidirect
51. #559	C₂²	semidirect
52. #559	C₂²	semidirect
53. #559	C₂²	semidirect
54. #559	C₂²	semidirect
55. Q₈²	C₂²	semidirect
56. #557	C₂²	semidirect
57. #556	C₂²	semidirect
58. #556	C₂²	semidirect
59. #556	C₂²	semidirect
60. #556	C₂²	semidirect
61. #556	C₂²	semidirect
62. #556	C₂²	semidirect
63. #556	C₂²	semidirect
64. #555	C₂²	semidirect
65. #555	C₂²	semidirect
66. #555	C₂²	semidirect
67. #555	C₂²	semidirect
68. #555	C₂²	semidirect
69. #554	C₂²	semidirect
70. #554	C₂²	semidirect
71. #554	C₂²	semidirect
72. #554	C₂²	semidirect
73. #554	C₂²	semidirect
74. #554	C₂²	semidirect
75. #554	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. #552	C₂²	semidirect
85. #552	C₂²	semidirect
86. #552	C₂²	semidirect
87. #552	C₂²	semidirect
88. #552	C₂²	semidirect
89. #552	C₂²	semidirect
90. #552	C₂²	semidirect
91. #552	C₂²	semidirect
92. #551	C₂²	semidirect
93. #551	C₂²	semidirect
94. #551	C₂²	semidirect
95. #551	C₂²	semidirect
96. #551	C₂²	semidirect
97. #551	C₂²	semidirect
98. #551	C₂²	semidirect
99. #551	C₂²	semidirect
100. #551	C₂²	semidirect
101. #551	C₂²	semidirect
102. #551	C₂²	semidirect
103. #550	C₂²	semidirect
104. #550	C₂²	semidirect
105. D₄×Q₈	C₂²	semidirect
106. D₄×Q₈	C₂²	semidirect
107. D₄×Q₈	C₂²	semidirect
108. D₄×Q₈	C₂²	semidirect
109. D₄×Q₈	C₂²	semidirect
110. D₄×Q₈	C₂²	semidirect
111. D₄×Q₈	C₂²	semidirect
112. #548	C₂²	semidirect
113. #548	C₂²	semidirect
114. #548	C₂²	semidirect
115. #548	C₂²	semidirect
116. #548	C₂²	semidirect
117. #548	C₂²	semidirect
118. #548	C₂²	semidirect
119. #548	C₂²	semidirect
120. #548	C₂²	semidirect
121. #548	C₂²	semidirect
123. #547	C₂²	semidirect
124. #547	C₂²	semidirect
125. #547	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
141. #546	C₂²	semidirect
142. #546	C₂²	semidirect
143. #546	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
165. D₄²	C₂²	semidirect
166. D₄²	C₂²	semidirect
167. #544	C₂²	semidirect
168. #544	C₂²	semidirect
169. #544	C₂²	semidirect
170. #543	C₂²	semidirect
171. #542	C₂²	semidirect
172. #542	C₂²	semidirect
173. #542	C₂²	semidirect
174. #542	C₂²	semidirect
175. #542	C₂²	semidirect
176. #542	C₂²	semidirect
177. #542	C₂²	semidirect
178. #542	C₂²	semidirect
179. #542	C₂²	semidirect
180. #542	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. #542	C₂²	semidirect
188. #542	C₂²	semidirect
189. #542	C₂²	semidirect
190. #542	C₂²	semidirect
191. #542	C₂²	semidirect
192. #542	C₂²	semidirect
193. #542	C₂²	semidirect
194. #541	C₂²	semidirect
195. #540	C₂²	semidirect
196. #540	C₂²	semidirect
197. #540	C₂²	semidirect
198. #540	C₂²	semidirect
199. #540	C₂²	semidirect
200. #539	C₂²	semidirect
201. #539	C₂²	semidirect
202. #539	C₂²	semidirect
203. #539	C₂²	semidirect
204. #539	C₂²	semidirect
205. #539	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. #538	C₂²	semidirect
216. #538	C₂²	semidirect
217. #537	C₂²	semidirect
218. #537	C₂²	semidirect
219. #537	C₂²	semidirect
220. #537	C₂²	semidirect
221. #537	C₂²	semidirect
222. #536	C₂²	semidirect
223. #536	C₂²	semidirect
224. #536	C₂²	semidirect
225. #536	C₂²	semidirect
226. #536	C₂²	semidirect
227. #536	C₂²	semidirect
228. #536	C₂²	semidirect
229. #536	C₂²	semidirect
230. #535	C₂²	semidirect
231. #535	C₂²	semidirect
232. #535	C₂²	semidirect
233. #535	C₂²	semidirect
234. #535	C₂²	semidirect
235. #534	C₂²	semidirect
236. #534	C₂²	semidirect
237. #534	C₂²	semidirect
238. #533	C₂²	semidirect
239. #533	C₂²	semidirect
240. #533	C₂²	semidirect
241. #533	C₂²	semidirect
243. #532	C₂²	semidirect
244. #532	C₂²	semidirect
245. #532	C₂²	semidirect
246. #532	C₂²	semidirect
247. #532	C₂²	semidirect
248. #532	C₂²	semidirect
249. #532	C₂²	semidirect
250. #532	C₂²	semidirect
251. C₂×C₄⋊Q₈	C₂²	semidirect
252. C₂×C₄⋊Q₈	C₂²	semidirect
253. #529	C₂²	semidirect
254. #529	C₂²	semidirect
255. #529	C₂²	semidirect
256. #529	C₂²	semidirect
257. #529	C₂²	semidirect
258. #529	C₂²	semidirect
259. #529	C₂²	semidirect
260. #529	C₂²	semidirect
261. #529	C₂²	semidirect
262. #529	C₂²	semidirect
263. #529	C₂²	semidirect
264. #529	C₂²	semidirect
265. C₂×#126	C₂²	semidirect
266. C₂×#124	C₂²	semidirect
267. C₂×#124	C₂²	semidirect
268. C₂×#124	C₂²	semidirect
269. #525	C₂²	semidirect
270. #525	C₂²	semidirect
271. #525	C₂²	semidirect
272. #525	C₂²	semidirect
273. #525	C₂²	semidirect
274. #525	C₂²	semidirect
275. #525	C₂²	semidirect
276. #525	C₂²	semidirect
277. C₂×#123	C₂²	semidirect
278. C₂×#123	C₂²	semidirect
279. C₂×C₂²⋊Q₈	C₂²	semidirect
280. C₂×C₂²⋊Q₈	C₂²	semidirect
281. C₂×C₂²⋊Q₈	C₂²	semidirect
283. C₂×#121	C₂²	semidirect
284. #520	C₂²	semidirect
285. #520	C₂²	semidirect
286. #520	C₂²	semidirect
287. #518	C₂²	semidirect
288. #518	C₂²	semidirect
289. C₄×#41	C₂²	semidirect
290. C₄×#41	C₂²	semidirect
291. C₄×#41	C₂²	semidirect
292. C₄×#41	C₂²	semidirect
293. C₄×#41	C₂²	semidirect
294. C₂×C₄×Q₈	C₂²	semidirect
295. C₂×C₄×D₄	C₂²	semidirect
296. C₂×C₄×D₄	C₂²	semidirect
297. C₂×C₄×D₄	C₂²	semidirect
298. C₂×#117	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3561	2
#3560	2
#3558	2
#3554	2
#3552	2
#3550	2
#3547	2
#3546	2
#3545	2
#3544	2
#3542	2
#3541	2
#3540	2
#3536	2
#3535	2
#3533	2
#3522	2
#3521	2
#3520	2
#3514	2
#3513	2
#3511	2
#3500	2
#3499	2
#3496	2
#3494	2
#3489	2
#3485	2
#3482	2
#3475	2
D₄×#41	2
#3460	2
C₂×#542	2