Subgroups — C₂×#60300 #10574407

Order 512.

6282 conjugacy classes of subgroups.

The subgroup lattice has 1179 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3475	C₂	1	1	yes	maximal, characteristic
2	#60300	C₂	1	32	yes	maximal, direct product factor
3	C₂×#2995	C₂	1	2	yes	maximal, complemented
4	C₂×#2994	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2993	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2993	C₂	1	2	yes	maximal, complemented
7	C₂×#2991	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2989	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2986	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2985	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2978	C₂	1	2	yes	maximal, complemented
12	C₂×#2976	C₂	1	2	yes	maximal, complemented
13	C₂×#2975	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#2974	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2971	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2969	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2969	C₂	1	2	yes	maximal, complemented
18	C₂×#2967	C₂	1	2	yes	maximal, complemented
19	C₂×#2966	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2965	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2925	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2924	C₂	1	2	yes	maximal, complemented
23	C₂×#2922	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2921	C₂	1	2	yes	maximal, complemented
25	#3475	C₄	1	16	yes	—
26	#3475	C₂²	1	16	yes	—
27	C₂×#556	C₄	1	1	yes	characteristic
28	C₂×#555	C₄	1	1	yes	characteristic
29	C₂×#554	C₄	1	1	yes	characteristic
30	C₂×#553	C₄	1	2	yes	—
31	C₂×#552	C₄	1	2	yes	—
32	C₂×#552	C₄	1	1	yes	characteristic
33	C₂×#552	C₄	1	1	yes	characteristic
34	C₂×#551	C₄	1	2	yes	—
35	C₂×#551	C₄	1	2	yes	—
36	C₂×#547	C₄	1	1	yes	characteristic
37	C₂×#546	C₄	1	1	yes	characteristic
38	C₂×#546	C₄	1	1	yes	characteristic
39	C₂×#533	C₂²	1	1	yes	characteristic
40	C₂×#529	C₂²	1	1	yes	characteristic
41	C₂×#529	C₂²	1	2	yes	—
42	C₂×#529	C₂²	1	1	yes	characteristic
43	C₂×#529	C₂²	1	2	yes	—
44	C₂×#525	C₂²	1	2	yes	—
45	C₂×C₄×#41	C₂²	1	1	yes	characteristic
46	C₂×C₄×#41	C₂²	1	1	yes	characteristic
47	C₂×C₄×#41	C₂²	1	1	yes	characteristic
48	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₂²×#117	C₂²	1	2	yes	—
50	#2995	C₂²	1	32	yes	complemented
51	#2994	C₂²	1	16	yes	complemented
52	#2993	C₂²	1	16	yes	complemented
53	#2993	C₂²	1	32	yes	complemented
54	#2991	C₂²	1	16	yes	complemented
55	#2989	C₂²	1	16	yes	complemented
56	#2986	C₂²	1	16	yes	complemented
57	#2985	C₂²	1	16	yes	complemented
58	#2978	C₂²	1	32	yes	complemented
59	#2976	C₂²	1	32	yes	complemented
60	#2975	C₂²	1	16	yes	complemented
61	#2974	C₂²	1	16	yes	complemented
62	#2971	C₂²	1	16	yes	complemented
63	#2969	C₂²	1	16	yes	complemented
64	#2969	C₂²	1	32	yes	complemented
65	#2967	C₂²	1	32	yes	complemented
66	#2966	C₂²	1	16	yes	complemented
67	#2965	C₂²	1	16	yes	complemented
68	C₂×#446	C₂²	1	1	yes	characteristic, complemented
69	C₂×#446	C₂²	1	1	yes	characteristic, complemented
70	C₂×#446	C₂²	1	1	yes	characteristic, complemented
71	C₂×#446	C₂²	1	2	yes	complemented
72	C₂×#446	C₂²	1	2	yes	complemented
73	C₂×#446	C₂²	1	2	yes	complemented
74	C₂×#446	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₈×Q₈	C₂²	1	2	yes	complemented
78	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
80	C₂×#436	C₂²	1	1	yes	characteristic
81	C₂×#436	C₂²	1	1	yes	characteristic
82	C₂×#436	C₂²	1	1	yes	characteristic
83	C₂×#436	C₂²	1	2	yes	—
84	C₂×#436	C₂²	1	1	yes	characteristic
85	C₂×#436	C₂²	1	2	yes	—
86	C₂×#436	C₂²	1	1	yes	characteristic
87	C₂×#436	C₂²	1	1	yes	characteristic
88	C₂×#436	C₂²	1	2	yes	complemented
89	C₂×#436	C₂²	1	2	yes	complemented
90	C₂×#436	C₂²	1	2	yes	complemented
91	C₂×#436	C₂²	1	2	yes	complemented
92	C₂×#436	C₂²	1	2	yes	complemented
93	C₂×#436	C₂²	1	2	yes	complemented
94	C₂×#435	C₂²	1	2	yes	—
95	C₂×#435	C₂²	1	2	yes	—
96	C₂×#435	C₂²	1	2	yes	complemented
97	C₂×#435	C₂²	1	2	yes	complemented
98	C₂×#435	C₂²	1	2	yes	complemented
99	C₂×#435	C₂²	1	2	yes	complemented
100	C₂×#435	C₂²	1	2	yes	complemented
101	C₂×#435	C₂²	1	2	yes	complemented
102	C₂×#435	C₂²	1	2	yes	complemented
103	C₂×#435	C₂²	1	2	yes	complemented
104	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
105	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
106	C₂×C₈×D₄	C₂²	1	2	yes	complemented
107	C₂×C₈×D₄	C₂²	1	2	yes	complemented
108	#2925	C₂²	1	16	yes	complemented
109	#2924	C₂²	1	32	yes	complemented
110	#2922	C₂²	1	16	yes	complemented
111	#2921	C₂²	1	32	yes	complemented
112	C₂×#433	C₂²	1	2	yes	—
113	C₂×#433	C₂²	1	2	yes	—
114	C₂×#433	C₂²	1	2	yes	—
115	C₂×#433	C₂²	1	2	yes	—
116	C₂×#433	C₂²	1	1	yes	characteristic
117	C₂×#433	C₂²	1	2	yes	—
118	C₂×#433	C₂²	1	1	yes	characteristic
119	C₂×#433	C₂²	1	2	yes	complemented
120	C₂×#433	C₂²	1	1	yes	characteristic, complemented
121	C₂×#433	C₂²	1	2	yes	complemented
122	C₂×#433	C₂²	1	1	yes	characteristic, complemented
123	C₂×#433	C₂²	1	2	yes	complemented
124	C₂×#433	C₂²	1	2	yes	complemented
125	C₂×#433	C₂²	1	2	yes	complemented
126	C₂×#432	C₂²	1	1	yes	characteristic
127	C₂×#432	C₂²	1	1	yes	characteristic, complemented
128	C₂×#432	C₂²	1	2	yes	complemented
129	C₂×#432	C₂²	1	2	yes	complemented
130	C₂×#431	C₂²	1	1	yes	characteristic
131	C₂×#431	C₂²	1	1	yes	characteristic
132	C₂×#431	C₂²	1	1	yes	characteristic
133	C₂×#431	C₂²	1	2	yes	complemented
134	C₂×#431	C₂²	1	1	yes	characteristic, complemented
135	C₂×#431	C₂²	1	1	yes	characteristic, complemented
136	C₂×#431	C₂²	1	2	yes	complemented
137	C₂×#431	C₂²	1	1	yes	characteristic, complemented
138	C₂×#424	C₂²	1	1	yes	characteristic, complemented
139	C₂×#424	C₂²	1	2	yes	complemented
140	C₂×#424	C₂²	1	2	yes	complemented
141	C₂×#424	C₂²	1	1	yes	characteristic, complemented
142	C₂×#423	C₂²	1	2	yes	complemented
143	C₂×#423	C₂²	1	1	yes	characteristic, complemented
144	C₂×#423	C₂²	1	2	yes	complemented
145	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
146	C₂×#408	C₂²	1	1	yes	characteristic
147	C₂×#408	C₂²	1	2	yes	—
148	C₂×#408	C₂²	1	1	yes	characteristic
149	C₂×#407	C₂²	1	2	yes	—
150	C₂×#407	C₂²	1	2	yes	—
151	C₂×#407	C₂²	1	2	yes	—
152	C₂²×C₂²⋊C₈	C₂²	1	2	yes	—
153	C₂×#405	C₂²	1	2	yes	complemented
154	C₂×#405	C₂²	1	2	yes	complemented
155	C₂×#405	C₂²	1	2	yes	complemented
156	C₂×C₄×M₁₆	C₂²	1	2	yes	complemented
157	C₂×C₄×M₁₆	C₂²	1	2	yes	complemented
158	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
159	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
160	C₂²×#41	C₂×C₄	1	1	yes	characteristic
161	C₂²×#41	C₂×C₄	1	1	yes	characteristic
162	C₂²×#41	C₂³	1	1	yes	characteristic
163	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
164	C₂⁴×C₄	C₂³	1	2	yes	—
165	C₂²×M₁₆	C₂³	1	2	yes	—
166	C₂²×M₁₆	C₂³	1	2	yes	—
167	C₂²×M₁₆	C₂³	1	2	yes	—
168	C₂²×M₁₆	C₂³	1	2	yes	—
169	C₂²×M₁₆	C₂³	1	1	yes	characteristic
170	C₂²×M₁₆	C₂³	1	1	yes	characteristic
171	C₂²×M₁₆	C₂³	1	2	yes	—
172	C₂²×M₁₆	C₂³	1	2	yes	—
173	C₂²×M₁₆	C₂³	1	2	yes	—
174	C₂³×C₈	C₂³	1	1	yes	characteristic
175	C₂³×C₈	C₂³	1	1	yes	characteristic
176	C₂³×C₈	C₂³	1	2	yes	—
177	C₂³×C₈	C₂³	1	2	yes	—
178	C₂³×C₈	C₂³	1	2	yes	—
179	#556	C₂×C₄	1	16	yes	—
180	#555	C₂×C₄	1	16	yes	—
181	#554	C₂×C₄	1	16	yes	—
182	#553	C₂×C₄	1	32	yes	—
183	#552	C₂×C₄	1	32	yes	—
184	#552	C₂×C₄	1	16	yes	—
185	#552	C₂×C₄	1	16	yes	—
186	#551	C₂×C₄	1	32	yes	—
187	#551	C₂×C₄	1	32	yes	—
188	#547	C₂×C₄	1	16	yes	—
189	#546	C₂×C₄	1	16	yes	—
190	#546	C₂×C₄	1	16	yes	—
191	#533	C₂×C₄	1	8	yes	—
192	#533	C₂³	1	8	yes	—
193	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
194	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
195	#529	C₂×C₄	1	16	yes	—
196	#529	C₂×C₄	1	16	yes	—
197	#529	C₂×C₄	1	8	yes	—
198	#529	C₂×C₄	1	8	yes	—
199	#529	C₂³	1	8	yes	—
200	#529	C₂³	1	16	yes	—
201	#529	C₂³	1	8	yes	—
202	#529	C₂³	1	16	yes	—
203	C₂×#126	C₂×C₄	1	2	yes	—
204	C₂×#126	C₂×C₄	1	2	yes	—
205	C₂×#126	C₂×C₄	1	2	yes	—
206	C₂×#126	C₂×C₄	1	2	yes	—
207	C₂×#126	C₂×C₄	1	2	yes	—
208	C₂×#126	C₂×C₄	1	2	yes	—
209	C₂×#125	C₂×C₄	1	2	yes	—
210	C₂×#125	C₂×C₄	1	2	yes	—
211	C₂×#125	C₂×C₄	1	1	yes	characteristic
212	C₂×#125	C₂×C₄	1	1	yes	characteristic
213	C₂×#125	C₂×C₄	1	2	yes	—
214	C₂×#124	C₂×C₄	1	1	yes	characteristic
215	C₂×#124	C₂×C₄	1	1	yes	characteristic
216	C₂×#124	C₂×C₄	1	2	yes	—
217	C₂×#124	C₂×C₄	1	2	yes	—
218	#525	C₂×C₄	1	16	yes	—
219	#525	C₂³	1	16	yes	—
220	C₂×#123	C₂×C₄	1	2	yes	—
221	C₂×#123	C₂×C₄	1	2	yes	—
222	C₂×#123	C₂×C₄	1	2	yes	—
223	C₂×#123	C₂×C₄	1	2	yes	—
224	C₂×#123	C₂×C₄	1	2	yes	—
225	C₂×#123	C₂×C₄	1	2	yes	—
226	C₂×#123	C₂×C₄	1	2	yes	—
227	C₂×#123	C₂×C₄	1	2	yes	—
228	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
229	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
230	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
231	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
232	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
233	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
234	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
237	C₂×#121	C₂×C₄	1	2	yes	—
238	C₂×#121	C₂×C₄	1	2	yes	—
239	C₂×#121	C₂×C₄	1	2	yes	—
240	C₂×#121	C₂×C₄	1	2	yes	—
241	C₂×#121	C₂×C₄	1	1	yes	characteristic
242	C₂×#121	C₂×C₄	1	1	yes	characteristic
243	C₂×#120	C₂×C₄	1	2	yes	—
244	C₂×#120	C₂×C₄	1	2	yes	—
245	C₄×#41	C₂×C₄	1	8	yes	—
246	C₄×#41	C₂×C₄	1	8	yes	—
247	C₄×#41	C₂×C₄	1	8	yes	—
248	C₄×#41	C₂³	1	8	yes	—
249	C₄×#41	C₂³	1	8	yes	—
250	C₄×#41	C₂³	1	8	yes	—
251	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
252	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
253	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
254	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
255	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
256	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×Q₈	C₂³	1	2	yes	—
258	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
259	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
260	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
262	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
263	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
264	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
265	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
266	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
270	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
271	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
272	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₄	C₂³	1	2	yes	—
275	C₂×C₄×D₄	C₂³	1	8	yes	—
276	C₂×C₄×D₄	C₂³	1	2	yes	—
277	C₂×C₄×D₄	C₂³	1	2	yes	—
278	C₂×C₄×D₄	C₂³	1	2	yes	—
279	C₂×C₄×D₄	C₂³	1	2	yes	—
280	C₂×#117	C₂×C₄	1	2	yes	—
281	C₂×#117	C₂×C₄	1	2	yes	—
282	C₂×#117	C₂×C₄	1	2	yes	—
283	C₂×#117	C₂×C₄	1	2	yes	—
284	C₂×#117	C₂×C₄	1	16	yes	—
285	C₂×#117	C₂×C₄	1	2	yes	—
286	C₂×#117	C₂×C₄	1	2	yes	—
287	C₂×#117	C₂×C₄	1	1	yes	characteristic
288	C₂×#117	C₂×C₄	1	1	yes	characteristic
289	C₂×#117	C₂³	1	2	yes	—
290	C₂×#117	C₂³	1	1	yes	characteristic
291	C₂×#117	C₂³	1	2	yes	—
292	C₂×#117	C₂³	1	1	yes	characteristic
293	C₂×#117	C₂³	1	1	yes	characteristic
294	C₂×#117	C₂³	1	2	yes	—
295	C₂×#117	C₂³	1	16	yes	—
296	C₂²×C₄⋊C₄	C₂×C₄	1	2	yes	—
297	C₂²×C₄⋊C₄	C₂×C₄	1	2	yes	—
298	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
300	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
301	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
302	C₂²×C₄²	C₂³	1	1	yes	characteristic
303	C₂²×C₄²	C₂³	1	2	yes	—
304	C₂²×C₄²	C₂³	1	1	yes	characteristic
305	C₂²×C₄²	C₂³	1	2	yes	—
306	C₂²×C₄²	C₂³	1	1	yes	characteristic
307	#446	C₂³	1	8	yes	complemented
308	#446	C₂³	1	8	yes	complemented
309	#446	C₂³	1	8	yes	complemented
310	#446	C₂³	1	16	yes	complemented
311	#446	C₂³	1	16	yes	complemented
312	#446	C₂³	1	16	yes	complemented
313	#446	C₂³	1	8	yes	complemented
314	C₈×Q₈	C₂³	1	8	yes	complemented
315	C₈×Q₈	C₂³	1	8	yes	complemented
316	C₈×Q₈	C₂³	1	16	yes	complemented
317	C₈×Q₈	C₂³	1	8	yes	complemented
318	C₈×Q₈	C₂³	1	8	yes	complemented
319	#436	C₂³	1	8	yes	—
320	#436	C₂³	1	8	yes	—
321	#436	C₂³	1	8	yes	—
322	#436	C₂³	1	16	yes	—
323	#436	C₂³	1	8	yes	—
324	#436	C₂³	1	16	yes	—
325	#436	C₂³	1	8	yes	—
326	#436	C₂³	1	8	yes	—
327	#436	C₂³	1	16	yes	complemented
328	#436	C₂³	1	16	yes	complemented
329	#436	C₂³	1	16	yes	complemented
330	#436	C₂³	1	16	yes	complemented
331	#436	C₂³	1	16	yes	complemented
332	#436	C₂³	1	16	yes	complemented
333	#435	C₂³	1	16	yes	—
334	#435	C₂³	1	16	yes	—
335	#435	C₂³	1	16	yes	complemented
336	#435	C₂³	1	16	yes	complemented
337	#435	C₂³	1	16	yes	complemented
338	#435	C₂³	1	16	yes	complemented
339	#435	C₂³	1	16	yes	complemented
340	#435	C₂³	1	16	yes	complemented
341	#435	C₂³	1	16	yes	complemented
342	#435	C₂³	1	16	yes	complemented
343	C₈×D₄	C₂³	1	8	yes	—
344	C₈×D₄	C₂³	1	8	yes	—
345	C₈×D₄	C₂³	1	16	yes	complemented
346	C₈×D₄	C₂³	1	16	yes	complemented
347	#433	C₂³	1	8	yes	—
348	#433	C₂³	1	16	yes	—
349	#433	C₂³	1	16	yes	—
350	#433	C₂³	1	16	yes	—
351	#433	C₂³	1	8	yes	—
352	#433	C₂³	1	16	yes	—
353	#433	C₂³	1	16	yes	—
354	#433	C₂³	1	16	yes	complemented
355	#433	C₂³	1	16	yes	complemented
356	#433	C₂³	1	16	yes	complemented
357	#433	C₂³	1	16	yes	complemented
358	#433	C₂³	1	8	yes	complemented
359	#433	C₂³	1	8	yes	complemented
360	#433	C₂³	1	16	yes	complemented
361	#432	C₂³	1	8	yes	—
362	#432	C₂³	1	16	yes	complemented
363	#432	C₂³	1	16	yes	complemented
364	#432	C₂³	1	8	yes	complemented
365	#431	C₂³	1	8	yes	—
366	#431	C₂³	1	8	yes	—
367	#431	C₂³	1	8	yes	—
368	#431	C₂³	1	8	yes	complemented
369	#431	C₂³	1	8	yes	complemented
370	#431	C₂³	1	16	yes	complemented
371	#431	C₂³	1	16	yes	complemented
372	#431	C₂³	1	8	yes	complemented
373	#424	C₂³	1	8	yes	complemented
374	#424	C₂³	1	8	yes	complemented
375	#424	C₂³	1	16	yes	complemented
376	#424	C₂³	1	16	yes	complemented
377	#423	C₂³	1	16	yes	complemented
378	#423	C₂³	1	16	yes	complemented
379	#423	C₂³	1	8	yes	complemented
380	C₂×C₄⋊C₈	C₂³	1	2	yes	—
381	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊C₈	C₂³	1	2	yes	—
385	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₈	C₂³	1	2	yes	—
389	C₂×C₄⋊C₈	C₂³	1	2	yes	—
390	C₂×C₄⋊C₈	C₂³	1	2	yes	—
391	C₂×C₄⋊C₈	C₂³	1	2	yes	—
392	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
396	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₈	C₂³	1	2	yes	—
399	C₂×C₄⋊C₈	C₂³	1	2	yes	—
400	C₂×C₄⋊C₈	C₂³	1	2	yes	—
401	C₂×C₄⋊C₈	C₂³	1	2	yes	—
402	C₂×C₄⋊C₈	C₂³	1	8	yes	complemented
403	#408	C₂³	1	8	yes	—
404	#408	C₂³	1	8	yes	—
405	#408	C₂³	1	16	yes	—
406	#407	C₂³	1	16	yes	—
407	#407	C₂³	1	16	yes	—
408	#407	C₂³	1	16	yes	—
409	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
411	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
412	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
413	C₂×C₂²⋊C₈	C₂³	1	16	yes	—
414	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
417	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
418	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
419	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
420	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
421	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
422	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
423	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
424	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
427	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
430	#405	C₂³	1	16	yes	complemented
431	#405	C₂³	1	16	yes	complemented
432	#405	C₂³	1	16	yes	complemented
433	C₄×M₁₆	C₂³	1	16	yes	complemented
434	C₄×M₁₆	C₂³	1	16	yes	complemented
435	C₄×M₁₆	C₂³	1	8	yes	complemented
436	C₂×#97	C₂³	1	1	yes	characteristic
437	C₂×#97	C₂³	1	2	yes	—
438	C₂×#97	C₂³	1	1	yes	characteristic
439	C₂×#97	C₂³	1	2	yes	—
440	C₂×#97	C₂³	1	2	yes	—
441	C₂×#97	C₂³	1	2	yes	—
442	C₂×#97	C₂³	1	2	yes	—
443	C₂×#97	C₂³	1	2	yes	—
444	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
445	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
446	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
447	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
448	C₂×C₄×C₈	C₂³	1	2	yes	—
449	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
450	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
451	C₂×C₄×C₈	C₂³	1	2	yes	—
452	C₂×C₄×C₈	C₂³	1	2	yes	—
453	C₂×C₄×C₈	C₂³	1	2	yes	—
454	C₂×C₄×C₈	C₂³	1	2	yes	—
455	C₂×C₄×C₈	C₂³	1	2	yes	—
456	C₂×C₄×C₈	C₂³	1	8	yes	complemented
457	C₂⁵	C₂²×C₄	1	2	yes	—
458	C₂×#41	—	4	2	no	—
459	C₂×#41	—	4	2	no	—
460	C₂×#41	—	4	4	no	—
461	C₂×#41	—	4	4	no	—
462	C₂×#41	C₂²×C₄	1	4	yes	—
463	C₂×#41	C₂²×C₄	1	8	yes	—
464	C₂×#41	C₂²×C₄	1	8	yes	—
465	C₂×#41	C₂⁴	1	4	yes	—
466	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
467	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
468	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
469	C₂²×Q₈	C₂²×C₄	1	2	yes	—
470	C₂²×D₄	—	4	4	no	—
471	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
472	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
473	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
474	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
475	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
476	C₂²×D₄	C₂²×C₄	1	2	yes	—
477	C₂²×D₄	C₂²×C₄	1	2	yes	—
478	C₂²×D₄	C₂²×C₄	1	2	yes	—
479	C₂²×D₄	C₂²×C₄	1	8	yes	—
480	C₂²×D₄	C₂²×C₄	1	2	yes	—
481	C₂²×D₄	C₂²×C₄	1	2	yes	—
482	C₂³×C₄	—	4	4	no	—
483	C₂³×C₄	—	4	4	no	—
484	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
485	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
486	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
487	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
488	C₂³×C₄	C₂²×C₄	1	2	yes	—
489	C₂³×C₄	C₂²×C₄	1	2	yes	—
490	C₂³×C₄	C₂²×C₄	1	2	yes	—
491	C₂³×C₄	C₂²×C₄	1	2	yes	—
492	C₂³×C₄	C₂²×C₄	1	2	yes	—
493	C₂³×C₄	C₂²×C₄	1	2	yes	—
494	C₂³×C₄	C₂²×C₄	1	2	yes	—
495	C₂³×C₄	C₂²×C₄	1	8	yes	—
496	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
497	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
498	C₂³×C₄	C₂⁴	1	1	yes	characteristic
499	C₂³×C₄	C₂⁴	1	2	yes	—
500	C₂³×C₄	C₂⁴	1	1	yes	characteristic
501	C₂³×C₄	C₂⁴	1	1	yes	characteristic
502	C₂³×C₄	C₂⁴	1	2	yes	—
503	C₂³×C₄	C₂⁴	1	8	yes	—
504	C₂×M₁₆	—	4	2	no	—
505	C₂×M₁₆	—	4	4	no	—
506	C₂×M₁₆	—	4	4	no	—
507	C₂×M₁₆	—	4	4	no	—
508	C₂×M₁₆	—	4	4	no	—
509	C₂×M₁₆	—	4	4	no	—
510	C₂×M₁₆	—	4	4	no	—
511	C₂×M₁₆	—	4	2	no	—
512	C₂×M₁₆	—	4	4	no	—
513	C₂×M₁₆	C₂⁴	1	8	yes	—
514	C₂×M₁₆	C₂⁴	1	8	yes	—
515	C₂×M₁₆	C₂⁴	1	8	yes	—
516	C₂×M₁₆	C₂⁴	1	8	yes	—
517	C₂×M₁₆	C₂⁴	1	4	yes	—
518	C₂×M₁₆	C₂⁴	1	4	yes	—
519	C₂×M₁₆	C₂⁴	1	8	yes	—
520	C₂×M₁₆	C₂⁴	1	8	yes	—
521	C₂×M₁₆	C₂⁴	1	8	yes	—
522	C₂²×C₈	—	4	4	no	—
523	C₂²×C₈	—	4	2	no	—
524	C₂²×C₈	—	4	4	no	—
525	C₂²×C₈	—	4	4	no	—
526	C₂²×C₈	—	4	2	no	—
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	2	yes	—
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₂²×C₈	C₂⁴	1	2	yes	—
534	C₂²×C₈	C₂⁴	1	2	yes	—
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₂²×C₈	C₂⁴	1	1	yes	characteristic
537	C₂²×C₈	C₂⁴	1	2	yes	—
538	C₂²×C₈	C₂⁴	1	1	yes	characteristic
539	C₂²×C₈	C₂⁴	1	4	yes	—
540	C₂²×C₈	C₂⁴	1	4	yes	—
541	C₂²×C₈	C₂⁴	1	8	yes	—
542	C₂²×C₈	C₂⁴	1	8	yes	—
543	C₂²×C₈	C₂⁴	1	8	yes	—
544	C₄⋊Q₈	C₂²×C₄	1	8	yes	—
545	C₄⋊Q₈	C₂²×C₄	1	8	yes	—
546	#126	C₂²×C₄	1	16	yes	—
547	#126	C₂²×C₄	1	16	yes	—
548	#126	C₂²×C₄	1	16	yes	—
549	#126	C₂²×C₄	1	16	yes	—
550	#126	C₂²×C₄	1	16	yes	—
551	#126	C₂²×C₄	1	16	yes	—
552	#125	C₂²×C₄	1	16	yes	—
553	#125	C₂²×C₄	1	16	yes	—
554	#125	C₂²×C₄	1	8	yes	—
555	#125	C₂²×C₄	1	8	yes	—
556	#125	C₂²×C₄	1	16	yes	—
557	#124	C₂²×C₄	1	8	yes	—
558	#124	C₂²×C₄	1	8	yes	—
559	#124	C₂²×C₄	1	16	yes	—
560	#124	C₂²×C₄	1	16	yes	—
561	#123	C₂²×C₄	1	16	yes	—
562	#123	C₂²×C₄	1	16	yes	—
563	#123	C₂²×C₄	1	16	yes	—
564	#123	C₂²×C₄	1	16	yes	—
565	#123	C₂²×C₄	1	16	yes	—
566	#123	C₂²×C₄	1	16	yes	—
567	#123	C₂²×C₄	1	16	yes	—
568	#123	C₂²×C₄	1	16	yes	—
569	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
570	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
571	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
572	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
573	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
574	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
575	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
576	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
577	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
578	#121	C₂²×C₄	1	16	yes	—
579	#121	C₂²×C₄	1	16	yes	—
580	#121	C₂²×C₄	1	16	yes	—
581	#121	C₂²×C₄	1	16	yes	—
582	#121	C₂²×C₄	1	8	yes	—
583	#121	C₂²×C₄	1	8	yes	—
584	#120	C₂²×C₄	1	16	yes	—
585	#120	C₂²×C₄	1	16	yes	—
586	C₄×Q₈	C₂²×C₄	1	8	yes	—
587	C₄×Q₈	C₂²×C₄	1	8	yes	—
588	C₄×Q₈	C₂²×C₄	1	8	yes	—
589	C₄×Q₈	C₂²×C₄	1	8	yes	—
590	C₄×Q₈	C₂²×C₄	1	4	yes	—
591	C₄×Q₈	C₂²×C₄	1	4	yes	—
592	C₄×Q₈	C₂²×C₄	1	8	yes	—
593	C₄×Q₈	C₂⁴	1	4	yes	—
594	C₄×Q₈	C₂⁴	1	4	yes	—
595	C₄×Q₈	C₂⁴	1	8	yes	—
596	C₄×D₄	C₂²×C₄	1	4	yes	—
597	C₄×D₄	C₂²×C₄	1	4	yes	—
598	C₄×D₄	C₂²×C₄	1	8	yes	—
599	C₄×D₄	C₂²×C₄	1	8	yes	—
600	C₄×D₄	C₂²×C₄	1	16	yes	—
601	C₄×D₄	C₂²×C₄	1	8	yes	—
602	C₄×D₄	C₂²×C₄	1	8	yes	—
603	C₄×D₄	C₂²×C₄	1	8	yes	—
604	C₄×D₄	C₂²×C₄	1	8	yes	—
605	C₄×D₄	C₂²×C₄	1	8	yes	—
606	C₄×D₄	C₂²×C₄	1	8	yes	—
607	C₄×D₄	C₂²×C₄	1	8	yes	—
608	C₄×D₄	C₂²×C₄	1	8	yes	—
609	C₄×D₄	C₂²×C₄	1	16	yes	—
610	C₄×D₄	C₂²×C₄	1	16	yes	—
611	C₄×D₄	C₂²×C₄	1	8	yes	—
612	C₄×D₄	C₂²×C₄	1	8	yes	—
613	C₄×D₄	C₂²×C₄	1	8	yes	—
614	C₄×D₄	C₂²×C₄	1	8	yes	—
615	C₄×D₄	C₂²×C₄	1	8	yes	—
616	C₄×D₄	C₂⁴	1	4	yes	—
617	C₄×D₄	C₂⁴	1	4	yes	—
618	C₄×D₄	C₂⁴	1	8	yes	—
619	C₄×D₄	C₂⁴	1	8	yes	—
620	C₄×D₄	C₂⁴	1	8	yes	—
621	C₄×D₄	C₂⁴	1	8	yes	—
622	C₄×D₄	C₂⁴	1	8	yes	—
623	#117	C₂²×C₄	1	4	yes	—
624	#117	C₂²×C₄	1	8	yes	—
625	#117	C₂²×C₄	1	8	yes	—
626	#117	C₂²×C₄	1	8	yes	—
627	#117	C₂²×C₄	1	16	yes	—
628	#117	C₂²×C₄	1	16	yes	—
629	#117	C₂²×C₄	1	16	yes	—
630	#117	C₂²×C₄	1	16	yes	—
631	#117	C₂²×C₄	1	16	yes	—
632	#117	C₂²×C₄	1	16	yes	—
633	#117	C₂²×C₄	1	8	yes	—
634	#117	C₂²×C₄	1	8	yes	—
635	#117	C₂²×C₄	1	4	yes	—
636	#117	C₂²×C₄	1	4	yes	—
637	#117	C₂⁴	1	4	yes	—
638	#117	C₂⁴	1	8	yes	—
639	#117	C₂⁴	1	8	yes	—
640	#117	C₂⁴	1	8	yes	—
641	#117	C₂⁴	1	4	yes	—
642	#117	C₂⁴	1	4	yes	—
643	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
647	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
648	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
649	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
650	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
651	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
652	C₂×C₄⋊C₄	C₂²×C₄	1	16	yes	—
653	C₂×C₄⋊C₄	C₂²×C₄	1	16	yes	—
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
656	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
660	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
661	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
662	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
668	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
669	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
670	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
671	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
682	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
683	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
687	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
699	C₂×C₄²	C₂²×C₄	1	2	yes	—
700	C₂×C₄²	C₂²×C₄	1	2	yes	—
701	C₂×C₄²	C₂²×C₄	1	2	yes	—
702	C₂×C₄²	C₂²×C₄	1	2	yes	—
703	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄²	C₂²×C₄	1	8	yes	—
706	C₂×C₄²	C₂²×C₄	1	8	yes	—
707	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₄²	C₂²×C₄	1	4	yes	—
712	C₂×C₄²	C₂²×C₄	1	4	yes	—
713	C₂×C₄²	C₂²×C₄	1	4	yes	—
714	C₂×C₄²	C₂⁴	1	8	yes	—
715	C₂×C₄²	C₂⁴	1	8	yes	—
716	C₂×C₄²	C₂⁴	1	4	yes	—
717	C₂×C₄²	C₂⁴	1	4	yes	—
718	C₂×C₄²	C₂⁴	1	4	yes	—
719	C₂×C₄²	C₂⁴	1	1	yes	characteristic
720	C₂×C₄²	C₂⁴	1	1	yes	characteristic
721	C₂×C₄²	C₂⁴	1	1	yes	characteristic
722	C₂×C₄²	C₂⁴	1	2	yes	—
723	C₂×C₄²	C₂⁴	1	2	yes	—
724	C₂×C₄²	C₂⁴	1	1	yes	characteristic
725	C₄⋊C₈	C₂⁴	1	8	yes	—
726	C₄⋊C₈	C₂⁴	1	4	yes	—
727	C₄⋊C₈	C₂⁴	1	4	yes	—
728	C₄⋊C₈	C₂⁴	1	4	yes	—
729	C₄⋊C₈	C₂⁴	1	4	yes	—
730	C₄⋊C₈	C₂⁴	1	8	yes	—
731	C₄⋊C₈	C₂⁴	1	4	yes	—
732	C₄⋊C₈	C₂⁴	1	4	yes	—
733	C₄⋊C₈	C₂⁴	1	8	yes	—
734	C₄⋊C₈	C₂⁴	1	8	yes	—
735	C₄⋊C₈	C₂⁴	1	8	yes	—
736	C₄⋊C₈	C₂⁴	1	8	yes	—
737	C₄⋊C₈	C₂⁴	1	4	yes	—
738	C₄⋊C₈	C₂⁴	1	4	yes	—
739	C₄⋊C₈	C₂⁴	1	4	yes	—
740	C₄⋊C₈	C₂⁴	1	4	yes	—
741	C₄⋊C₈	C₂⁴	1	4	yes	—
742	C₄⋊C₈	C₂⁴	1	4	yes	—
743	C₄⋊C₈	C₂⁴	1	8	yes	—
744	C₄⋊C₈	C₂⁴	1	8	yes	—
745	C₄⋊C₈	C₂⁴	1	8	yes	—
746	C₄⋊C₈	C₂⁴	1	8	yes	—
747	C₂²⋊C₈	C₂⁴	1	4	yes	—
748	C₂²⋊C₈	C₂⁴	1	8	yes	—
749	C₂²⋊C₈	C₂⁴	1	8	yes	—
750	C₂²⋊C₈	C₂⁴	1	8	yes	—
751	C₂²⋊C₈	C₂⁴	1	4	yes	—
752	C₂²⋊C₈	C₂⁴	1	4	yes	—
753	C₂²⋊C₈	C₂⁴	1	8	yes	—
754	C₂²⋊C₈	C₂⁴	1	4	yes	—
755	C₂²⋊C₈	C₂⁴	1	8	yes	—
756	C₂²⋊C₈	C₂⁴	1	8	yes	—
757	C₂²⋊C₈	C₂⁴	1	8	yes	—
758	C₂²⋊C₈	C₂⁴	1	8	yes	—
759	C₂²⋊C₈	C₂⁴	1	8	yes	—
760	C₂²⋊C₈	C₂⁴	1	8	yes	—
761	C₂²⋊C₈	C₂⁴	1	4	yes	—
762	C₂²⋊C₈	C₂⁴	1	4	yes	—
763	C₂²⋊C₈	C₂⁴	1	8	yes	—
764	C₂²⋊C₈	C₂⁴	1	4	yes	—
765	C₂²⋊C₈	C₂⁴	1	4	yes	—
766	C₂²⋊C₈	C₂⁴	1	8	yes	—
767	#97	C₂⁴	1	4	yes	—
768	#97	C₂⁴	1	8	yes	—
769	#97	C₂⁴	1	4	yes	—
770	#97	C₂⁴	1	8	yes	—
771	#97	C₂⁴	1	8	yes	—
772	#97	C₂⁴	1	8	yes	—
773	#97	C₂⁴	1	8	yes	—
774	#97	C₂⁴	1	8	yes	—
775	C₄×C₈	C₂⁴	1	4	yes	—
776	C₄×C₈	C₂⁴	1	4	yes	—
777	C₄×C₈	C₂⁴	1	4	yes	—
778	C₄×C₈	C₂⁴	1	4	yes	—
779	C₄×C₈	C₂⁴	1	8	yes	—
780	C₄×C₈	C₂⁴	1	4	yes	—
781	C₄×C₈	C₂⁴	1	4	yes	—
782	C₄×C₈	C₂⁴	1	8	yes	—
783	C₄×C₈	C₂⁴	1	8	yes	—
784	C₄×C₈	C₂⁴	1	8	yes	—
785	C₄×C₈	C₂⁴	1	8	yes	—
786	C₄×C₈	C₂⁴	1	8	yes	—
787	C₂⁴	—	4	4	no	—
788	C₂⁴	—	4	4	no	—
789	C₂⁴	—	4	4	no	—
790	C₂⁴	C₂³×C₄	1	2	yes	—
791	C₂⁴	C₂³×C₄	1	1	yes	characteristic
792	C₂⁴	C₂³×C₄	1	1	yes	characteristic
793	C₂⁴	C₂³×C₄	1	1	yes	characteristic
794	C₂⁴	C₂³×C₄	1	2	yes	—
795	C₂⁴	C₂³×C₄	1	8	yes	—
796	#41	—	4	8	no	—
797	#41	—	4	4	no	—
798	#41	—	4	4	no	—
799	#41	—	4	16	no	—
800	#41	—	4	16	no	—
801	C₂×Q₈	—	2	4	no	—
802	C₂×Q₈	—	2	4	no	—
803	C₂×Q₈	—	4	4	no	—
804	C₂×Q₈	—	4	2	no	—
805	C₂×Q₈	C₂³×C₄	1	4	yes	—
806	C₂×Q₈	C₂³×C₄	1	4	yes	—
807	C₂×Q₈	C₂³×C₄	1	4	yes	—
808	C₂×Q₈	C₂³×C₄	1	8	yes	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	4	16	no	—
812	C₂×D₄	—	4	4	no	—
813	C₂×D₄	—	4	4	no	—
814	C₂×D₄	—	4	4	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	—	4	4	no	—
819	C₂×D₄	—	4	4	no	—
820	C₂×D₄	C₂³×C₄	1	4	yes	—
821	C₂×D₄	C₂³×C₄	1	4	yes	—
822	C₂×D₄	C₂³×C₄	1	4	yes	—
823	C₂×D₄	C₂³×C₄	1	4	yes	—
824	C₂×D₄	C₂³×C₄	1	4	yes	—
825	C₂×D₄	C₂³×C₄	1	8	yes	—
826	C₂×D₄	C₂³×C₄	1	8	yes	—
827	C₂×D₄	C₂³×C₄	1	8	yes	—
828	C₂×D₄	C₂³×C₄	1	8	yes	—
829	C₂×D₄	C₂³×C₄	1	8	yes	—
830	C₂²×C₄	—	2	4	no	—
831	C₂²×C₄	—	2	4	no	—
832	C₂²×C₄	—	2	4	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	4	no	—
835	C₂²×C₄	—	2	4	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	4	16	no	—
844	C₂²×C₄	—	4	8	no	—
845	C₂²×C₄	—	4	8	no	—
846	C₂²×C₄	—	4	4	no	—
847	C₂²×C₄	—	4	4	no	—
848	C₂²×C₄	—	4	4	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	4	no	—
852	C₂²×C₄	—	4	4	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	4	no	—
855	C₂²×C₄	—	4	4	no	—
856	C₂²×C₄	C₂³×C₄	1	2	yes	—
857	C₂²×C₄	C₂³×C₄	1	4	yes	—
858	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
859	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
860	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
861	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
862	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
863	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
864	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
865	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
866	C₂²×C₄	C₂³×C₄	1	2	yes	—
867	C₂²×C₄	C₂³×C₄	1	2	yes	—
868	C₂²×C₄	C₂³×C₄	1	2	yes	—
869	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
870	C₂²×C₄	C₂³×C₄	1	2	yes	—
871	C₂²×C₄	C₂³×C₄	1	2	yes	—
872	C₂²×C₄	C₂³×C₄	1	2	yes	—
873	C₂²×C₄	C₂³×C₄	1	2	yes	—
874	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
875	C₂²×C₄	C₂³×C₄	1	4	yes	—
876	C₂²×C₄	C₂³×C₄	1	4	yes	—
877	C₂²×C₄	C₂³×C₄	1	4	yes	—
878	C₂²×C₄	C₂³×C₄	1	2	yes	—
879	C₂²×C₄	C₂³×C₄	1	4	yes	—
880	C₂²×C₄	C₂³×C₄	1	4	yes	—
881	C₂²×C₄	C₂³×C₄	1	8	yes	—
882	C₂²×C₄	C₂³×C₄	1	8	yes	—
883	C₂²×C₄	C₂³×C₄	1	8	yes	—
884	C₂²×C₄	C₂³×C₄	1	8	yes	—
885	C₂²×C₄	C₂³×C₄	1	4	yes	—
886	C₂²×C₄	C₂³×C₄	1	4	yes	—
887	C₂²×C₄	C₂³×C₄	1	8	yes	—
888	C₂²×C₄	C₂³×C₄	1	8	yes	—
889	C₂²×C₄	C₂³×C₄	1	8	yes	—
890	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
891	C₂²×C₄	C₂⁵	1	2	yes	—
892	C₂²×C₄	C₂⁵	1	4	yes	—
893	C₂²×C₄	C₂⁵	1	2	yes	—
894	C₂²×C₄	C₂⁵	1	2	yes	—
895	C₂²×C₄	C₂⁵	1	4	yes	—
896	C₂²×C₄	C₂⁵	1	1	yes	characteristic
897	M₁₆	—	4	4	no	—
898	M₁₆	—	4	8	no	—
899	M₁₆	—	4	8	no	—
900	M₁₆	—	4	8	no	—
901	M₁₆	—	4	8	no	—
902	M₁₆	—	4	8	no	—
903	M₁₆	—	4	8	no	—
904	M₁₆	—	4	4	no	—
905	M₁₆	—	4	8	no	—
906	C₂×C₈	—	2	2	no	—
907	C₂×C₈	—	2	4	no	—
908	C₂×C₈	—	2	2	no	—
909	C₂×C₈	—	2	2	no	—
910	C₂×C₈	—	2	4	no	—
911	C₂×C₈	—	2	4	no	—
912	C₂×C₈	—	2	2	no	—
913	C₂×C₈	—	2	2	no	—
914	C₂×C₈	—	2	2	no	—
915	C₂×C₈	—	2	2	no	—
916	C₂×C₈	—	2	2	no	—
917	C₂×C₈	—	2	4	no	—
918	C₂×C₈	—	4	8	no	—
919	C₂×C₈	—	4	4	no	—
920	C₂×C₈	—	4	8	no	—
921	C₂×C₈	—	4	8	no	—
922	C₂×C₈	—	4	4	no	—
923	C₂×C₈	C₂⁵	1	2	yes	—
924	C₂×C₈	C₂⁵	1	2	yes	—
925	C₂×C₈	C₂⁵	1	2	yes	—
926	C₂×C₈	C₂⁵	1	2	yes	—
927	C₂×C₈	C₂⁵	1	4	yes	—
928	C₂×C₈	C₂⁵	1	2	yes	—
929	C₂×C₈	C₂⁵	1	2	yes	—
930	C₂×C₈	C₂⁵	1	2	yes	—
931	C₂×C₈	C₂⁵	1	4	yes	—
932	C₂×C₈	C₂⁵	1	4	yes	—
933	C₂×C₈	C₂⁵	1	2	yes	—
934	C₂×C₈	C₂⁵	1	4	yes	—
935	C₄⋊C₄	C₂³×C₄	1	4	yes	—
936	C₄⋊C₄	C₂³×C₄	1	4	yes	—
937	C₄⋊C₄	C₂³×C₄	1	4	yes	—
938	C₄⋊C₄	C₂³×C₄	1	8	yes	—
939	C₄⋊C₄	C₂³×C₄	1	8	yes	—
940	C₄⋊C₄	C₂³×C₄	1	8	yes	—
941	C₄⋊C₄	C₂³×C₄	1	8	yes	—
942	C₄⋊C₄	C₂³×C₄	1	8	yes	—
943	C₄⋊C₄	C₂³×C₄	1	8	yes	—
944	C₄⋊C₄	C₂³×C₄	1	4	yes	—
945	C₄⋊C₄	C₂³×C₄	1	8	yes	—
946	C₄⋊C₄	C₂³×C₄	1	4	yes	—
947	C₄⋊C₄	C₂³×C₄	1	4	yes	—
948	C₄⋊C₄	C₂³×C₄	1	8	yes	—
949	C₄⋊C₄	C₂³×C₄	1	8	yes	—
950	C₄⋊C₄	C₂³×C₄	1	8	yes	—
951	C₄⋊C₄	C₂³×C₄	1	8	yes	—
952	C₄⋊C₄	C₂³×C₄	1	4	yes	—
953	C₄⋊C₄	C₂³×C₄	1	4	yes	—
954	C₄⋊C₄	C₂³×C₄	1	4	yes	—
955	C₄⋊C₄	C₂³×C₄	1	4	yes	—
956	C₄⋊C₄	C₂³×C₄	1	8	yes	—
957	C₄⋊C₄	C₂³×C₄	1	8	yes	—
958	C₄⋊C₄	C₂³×C₄	1	8	yes	—
959	C₄⋊C₄	C₂³×C₄	1	8	yes	—
960	C₄⋊C₄	C₂³×C₄	1	8	yes	—
961	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
962	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
963	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
964	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
965	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
966	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
967	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
968	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
969	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
970	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
971	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
972	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
973	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
974	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
975	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
976	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
977	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
978	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
979	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
980	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
981	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
982	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
983	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
984	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
985	C₄²	C₂³×C₄	1	2	yes	—
986	C₄²	C₂³×C₄	1	2	yes	—
987	C₄²	C₂³×C₄	1	2	yes	—
988	C₄²	C₂³×C₄	1	8	yes	—
989	C₄²	C₂³×C₄	1	8	yes	—
990	C₄²	C₂³×C₄	1	2	yes	—
991	C₄²	C₂³×C₄	1	4	yes	—
992	C₄²	C₂³×C₄	1	4	yes	—
993	C₄²	C₂³×C₄	1	8	yes	—
994	C₄²	C₂³×C₄	1	8	yes	—
995	C₄²	C₂³×C₄	1	4	yes	—
996	C₄²	C₂³×C₄	1	4	yes	—
997	C₄²	C₂³×C₄	1	4	yes	—
998	C₄²	C₂³×C₄	1	4	yes	—
999	C₄²	C₂³×C₄	1	4	yes	—
1000	C₄²	C₂³×C₄	1	4	yes	—
1001	C₄²	C₂⁵	1	2	yes	—
1002	C₄²	C₂⁵	1	2	yes	—
1003	C₄²	C₂⁵	1	2	yes	—
1004	C₄²	C₂⁵	1	4	yes	—
1005	C₄²	C₂⁵	1	4	yes	—
1006	C₄²	C₂⁵	1	2	yes	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	4	no	—
1009	C₂³	—	2	4	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	4	no	—
1016	C₂³	—	2	4	no	—
1017	C₂³	—	2	4	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	4	no	—
1022	C₂³	—	4	8	no	—
1023	C₂³	—	4	8	no	—
1024	C₂³	—	4	8	no	—
1025	C₂³	—	8	16	no	—
1026	C₂³	C₂⁴×C₄	1	4	yes	—
1027	C₂³	C₂⁴×C₄	1	2	yes	—
1028	C₂³	C₂⁴×C₄	1	2	yes	—
1029	C₂³	C₂⁴×C₄	1	2	yes	—
1030	C₂³	C₂⁴×C₄	1	4	yes	—
1031	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1032	Q₈	—	2	8	no	—
1033	Q₈	—	2	8	no	—
1034	Q₈	—	4	8	no	—
1035	Q₈	—	4	4	no	—
1036	D₄	—	2	8	no	—
1037	D₄	—	2	8	no	—
1038	D₄	—	4	8	no	—
1039	D₄	—	4	8	no	—
1040	D₄	—	4	8	no	—
1041	D₄	—	4	8	no	—
1042	D₄	—	4	8	no	—
1043	D₄	—	4	4	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	4	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	4	no	—
1048	C₂×C₄	—	2	4	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	4	no	—
1055	C₂×C₄	—	2	4	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	4	no	—
1060	C₂×C₄	—	2	4	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	4	no	—
1064	C₂×C₄	—	2	4	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	4	no	—
1068	C₂×C₄	—	2	4	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	4	no	—
1073	C₂×C₄	—	2	8	no	—
1074	C₂×C₄	—	2	8	no	—
1075	C₂×C₄	—	2	4	no	—
1076	C₂×C₄	—	2	4	no	—
1077	C₂×C₄	—	2	8	no	—
1078	C₂×C₄	—	2	8	no	—
1079	C₂×C₄	—	2	8	no	—
1080	C₂×C₄	—	4	8	no	—
1081	C₂×C₄	—	4	8	no	—
1082	C₂×C₄	—	4	8	no	—
1083	C₂×C₄	—	4	4	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	8	no	—
1086	C₂×C₄	—	4	8	no	—
1087	C₂×C₄	—	4	4	no	—
1088	C₂×C₄	—	4	8	no	—
1089	C₂×C₄	—	4	8	no	—
1090	C₂×C₄	#568	1	4	yes	—
1091	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1092	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1093	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1094	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1095	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1096	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1097	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1098	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1099	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1100	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1101	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1102	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1103	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1104	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1105	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1106	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1107	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1108	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1109	C₂×C₄	#585	1	2	yes	—
1110	C₂×C₄	#585	1	2	yes	—
1111	C₂×C₄	C₂⁶	1	1	yes	characteristic
1112	C₈	—	2	2	no	—
1113	C₈	—	2	4	no	—
1114	C₈	—	2	2	no	—
1115	C₈	—	2	2	no	—
1116	C₈	—	2	4	no	—
1117	C₈	—	2	4	no	—
1118	C₈	—	2	2	no	—
1119	C₈	—	2	2	no	—
1120	C₈	—	2	2	no	—
1121	C₈	—	2	2	no	—
1122	C₈	—	2	2	no	—
1123	C₈	—	2	4	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	4	no	—
1128	C₂²	—	2	4	no	—
1129	C₂²	—	2	4	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	2	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	4	4	no	—
1140	C₂²	—	4	4	no	—
1141	C₂²	—	4	8	no	—
1142	C₂²	—	4	8	no	—
1143	C₂²	—	4	4	no	—
1144	C₂²	—	8	16	no	—
1145	C₂²	#3428	1	2	yes	—
1146	C₂²	C₂×#568	1	2	yes	—
1147	C₂²	#3573	1	2	yes	—
1148	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1149	C₄	—	2	2	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	4	no	—
1153	C₄	—	2	4	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	2	no	—
1157	C₄	—	2	4	no	—
1158	C₄	—	2	4	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	4	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	2	no	—
1165	C₄	#3428	1	2	yes	—
1166	C₄	C₂×#568	1	4	yes	—
1167	C₄	C₂×#585	1	1	yes	characteristic
1168	C₄	C₂×#585	1	1	yes	characteristic
1169	C₂	—	4	2	no	—
1170	C₂	—	4	2	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	4	4	no	—
1173	C₂	—	4	2	no	—
1174	C₂	#60300	1	4	yes	direct product factor
1175	C₂	C₂×#3428	1	1	yes	characteristic
1176	C₂	C₂²×#568	1	1	yes	characteristic
1177	C₂	C₂×#3573	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂⁵
commutator	C₂²	C₂⁵×C₄
Frattini, cosocle	C₂×C₄	C₂⁶
socle	C₂³	C₂⁴×C₄
prime radical	C₂×#3475	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60300	C₂	direct (N × H)
3. C₂×#2995	C₂	semidirect
4. C₂×#2994	C₂	semidirect
5. C₂×#2993	C₂	semidirect
6. C₂×#2993	C₂	semidirect
7. C₂×#2991	C₂	semidirect
8. C₂×#2989	C₂	semidirect
9. C₂×#2986	C₂	semidirect
10. C₂×#2985	C₂	semidirect
11. C₂×#2978	C₂	semidirect
12. C₂×#2976	C₂	semidirect
13. C₂×#2975	C₂	semidirect
14. C₂×#2974	C₂	semidirect
15. C₂×#2971	C₂	semidirect
16. C₂×#2969	C₂	semidirect
17. C₂×#2969	C₂	semidirect
18. C₂×#2967	C₂	semidirect
19. C₂×#2966	C₂	semidirect
20. C₂×#2965	C₂	semidirect
21. C₂×#2925	C₂	semidirect
22. C₂×#2924	C₂	semidirect
23. C₂×#2922	C₂	semidirect
24. C₂×#2921	C₂	semidirect
50. #2995	C₂²	semidirect
51. #2994	C₂²	semidirect
52. #2993	C₂²	semidirect
53. #2993	C₂²	semidirect
54. #2991	C₂²	semidirect
55. #2989	C₂²	semidirect
56. #2986	C₂²	semidirect
57. #2985	C₂²	semidirect
58. #2978	C₂²	semidirect
59. #2976	C₂²	semidirect
60. #2975	C₂²	semidirect
61. #2974	C₂²	semidirect
62. #2971	C₂²	semidirect
63. #2969	C₂²	semidirect
64. #2969	C₂²	semidirect
65. #2967	C₂²	semidirect
66. #2966	C₂²	semidirect
67. #2965	C₂²	semidirect
68. C₂×#446	C₂²	semidirect
69. C₂×#446	C₂²	semidirect
70. C₂×#446	C₂²	semidirect
71. C₂×#446	C₂²	semidirect
72. C₂×#446	C₂²	semidirect
73. C₂×#446	C₂²	semidirect
74. C₂×#446	C₂²	semidirect
75. C₂×C₈×Q₈	C₂²	semidirect
76. C₂×C₈×Q₈	C₂²	semidirect
77. C₂×C₈×Q₈	C₂²	semidirect
78. C₂×C₈×Q₈	C₂²	semidirect
79. C₂×C₈×Q₈	C₂²	semidirect
88. C₂×#436	C₂²	semidirect
89. C₂×#436	C₂²	semidirect
90. C₂×#436	C₂²	semidirect
91. C₂×#436	C₂²	semidirect
92. C₂×#436	C₂²	semidirect
93. C₂×#436	C₂²	semidirect
96. C₂×#435	C₂²	semidirect
97. C₂×#435	C₂²	semidirect
98. C₂×#435	C₂²	semidirect
99. C₂×#435	C₂²	semidirect
100. C₂×#435	C₂²	semidirect
101. C₂×#435	C₂²	semidirect
102. C₂×#435	C₂²	semidirect
103. C₂×#435	C₂²	semidirect
106. C₂×C₈×D₄	C₂²	semidirect
107. C₂×C₈×D₄	C₂²	semidirect
108. #2925	C₂²	semidirect
109. #2924	C₂²	semidirect
110. #2922	C₂²	semidirect
111. #2921	C₂²	semidirect
119. C₂×#433	C₂²	semidirect
120. C₂×#433	C₂²	semidirect
121. C₂×#433	C₂²	semidirect
122. C₂×#433	C₂²	semidirect
123. C₂×#433	C₂²	semidirect
124. C₂×#433	C₂²	semidirect
125. C₂×#433	C₂²	semidirect
127. C₂×#432	C₂²	semidirect
128. C₂×#432	C₂²	semidirect
129. C₂×#432	C₂²	semidirect
133. C₂×#431	C₂²	semidirect
134. C₂×#431	C₂²	semidirect
135. C₂×#431	C₂²	semidirect
136. C₂×#431	C₂²	semidirect
137. C₂×#431	C₂²	semidirect
138. C₂×#424	C₂²	semidirect
139. C₂×#424	C₂²	semidirect
140. C₂×#424	C₂²	semidirect
141. C₂×#424	C₂²	semidirect
142. C₂×#423	C₂²	semidirect
143. C₂×#423	C₂²	semidirect
144. C₂×#423	C₂²	semidirect
145. C₂²×C₄⋊C₈	C₂²	semidirect
153. C₂×#405	C₂²	semidirect
154. C₂×#405	C₂²	semidirect
155. C₂×#405	C₂²	semidirect
156. C₂×C₄×M₁₆	C₂²	semidirect
157. C₂×C₄×M₁₆	C₂²	semidirect
158. C₂×C₄×M₁₆	C₂²	semidirect
159. C₂²×C₄×C₈	C₂²	semidirect
307. #446	C₂³	semidirect
308. #446	C₂³	semidirect
309. #446	C₂³	semidirect
310. #446	C₂³	semidirect
311. #446	C₂³	semidirect
312. #446	C₂³	semidirect
313. #446	C₂³	semidirect
314. C₈×Q₈	C₂³	semidirect
315. C₈×Q₈	C₂³	semidirect
316. C₈×Q₈	C₂³	semidirect
317. C₈×Q₈	C₂³	semidirect
318. C₈×Q₈	C₂³	semidirect
327. #436	C₂³	semidirect
328. #436	C₂³	semidirect
329. #436	C₂³	semidirect
330. #436	C₂³	semidirect
331. #436	C₂³	semidirect
332. #436	C₂³	semidirect
335. #435	C₂³	semidirect
336. #435	C₂³	semidirect
337. #435	C₂³	semidirect
338. #435	C₂³	semidirect
339. #435	C₂³	semidirect
340. #435	C₂³	semidirect
341. #435	C₂³	semidirect
342. #435	C₂³	semidirect
345. C₈×D₄	C₂³	semidirect
346. C₈×D₄	C₂³	semidirect
354. #433	C₂³	semidirect
355. #433	C₂³	semidirect
356. #433	C₂³	semidirect
357. #433	C₂³	semidirect
358. #433	C₂³	semidirect
359. #433	C₂³	semidirect
360. #433	C₂³	semidirect
362. #432	C₂³	semidirect
363. #432	C₂³	semidirect
364. #432	C₂³	semidirect
368. #431	C₂³	semidirect
369. #431	C₂³	semidirect
370. #431	C₂³	semidirect
371. #431	C₂³	semidirect
372. #431	C₂³	semidirect
373. #424	C₂³	semidirect
374. #424	C₂³	semidirect
375. #424	C₂³	semidirect
376. #424	C₂³	semidirect
377. #423	C₂³	semidirect
378. #423	C₂³	semidirect
379. #423	C₂³	semidirect
402. C₂×C₄⋊C₈	C₂³	semidirect
430. #405	C₂³	semidirect
431. #405	C₂³	semidirect
432. #405	C₂³	semidirect
433. C₄×M₁₆	C₂³	semidirect
434. C₄×M₁₆	C₂³	semidirect
435. C₄×M₁₆	C₂³	semidirect
456. C₂×C₄×C₈	C₂³	semidirect
1174. C₂	#60300	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3475	2
#60300	2
C₂×#2995	2
C₂×#2994	2
C₂×#2993	2
C₂×#2991	2
C₂×#2989	2
C₂×#2986	2
C₂×#2985	2
C₂×#2978	2
C₂×#2976	2
C₂×#2975	2
C₂×#2974	2
C₂×#2971	2
C₂×#2969	2
C₂×#2967	2
C₂×#2966	2
C₂×#2965	2
C₂×#2925	2
C₂×#2924	2
C₂×#2922	2
C₂×#2921	2

Subgroups — C2×#60300 #10574407

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#60300 #10574407