Subgroups — #7710024

Order 512.

8764 conjugacy classes of subgroups.

The subgroup lattice has 1285 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3561	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×#124	C₂	1	1	yes	maximal, characteristic, complemented
3	#59148	C₂	1	4	yes	maximal, complemented
4	#59130	C₂	1	4	yes	maximal, complemented
5	#46136	C₂	1	4	yes	maximal, complemented
6	#45976	C₂	1	4	yes	maximal, complemented
7	#39123	C₂	1	2	yes	maximal, complemented
8	#38918	C₂	1	2	yes	maximal, complemented
9	#38044	C₂	1	4	yes	maximal, complemented
10	#37718	C₂	1	8	yes	maximal, complemented
11	#37696	C₂	1	4	yes	maximal, complemented
12	#37676	C₂	1	4	yes	maximal, complemented
13	#37546	C₂	1	1	yes	maximal, characteristic, complemented
14	#37537	C₂	1	1	yes	maximal, characteristic, complemented
15	#36966	C₂	1	2	yes	maximal, complemented
16	#36957	C₂	1	2	yes	maximal, complemented
17	#36625	C₂	1	1	yes	maximal, characteristic, complemented
18	#36621	C₂	1	1	yes	maximal, characteristic, complemented
19	Q₈×#120	C₂	1	2	yes	maximal, complemented
20	#36158	C₂	1	4	yes	maximal, complemented
21	#36152	C₂	1	2	yes	maximal, complemented
22	#34988	C₂	1	2	yes	maximal, complemented
23	#34982	C₂	1	2	yes	maximal, complemented
24	#34377	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁴×Q₈	C₂²	1	1	yes	characteristic
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	#3561	—	2	16	no	—
28	C₂×#563	C₂²	1	2	yes	complemented
29	C₂×#562	C₂²	1	2	yes	complemented
30	C₂×#556	C₂²	1	2	yes	complemented
31	C₂×#551	C₂²	1	4	yes	complemented
32	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
33	C₂×D₄×Q₈	C₂²	1	4	yes	complemented
34	C₂×#548	C₂²	1	2	yes	complemented
35	C₂×#546	C₂²	1	2	yes	—
36	C₂×#546	C₂²	1	4	yes	—
37	C₂×#543	C₂²	1	2	yes	complemented
38	C₂×#542	C₂²	1	2	yes	complemented
39	C₂×#542	C₂²	1	4	yes	complemented
40	C₂×#538	C₂²	1	2	yes	complemented
41	C₂×#536	C₂²	1	2	yes	complemented
42	C₂×#533	C₂²	1	1	yes	characteristic, complemented
43	C₂×#529	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#124	—	2	16	no	—
45	C₂²×#124	C₂²	1	1	yes	characteristic
46	C₂²×#124	C₂²	1	4	yes	—
47	C₂²×#124	C₂²	1	4	yes	—
48	C₂²×#124	C₂²	1	4	yes	—
49	C₂²×#124	C₂²	1	4	yes	—
50	C₂²×#124	C₂²	1	2	yes	—
51	C₂²×#124	C₂²	1	2	yes	—
52	C₂²×#124	C₂²	1	1	yes	characteristic
53	C₂²×#124	C₂²	1	1	yes	characteristic
54	C₂²×#124	C₂²	1	1	yes	characteristic
55	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
56	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
57	C₂³×C₄²	C₂²	1	1	yes	characteristic
58	#2857	C₂²	1	2	yes	complemented
59	#2857	C₂²	1	2	yes	complemented
60	#2855	C₂²	1	2	yes	complemented
61	#2855	C₂²	1	1	yes	characteristic, complemented
62	#2855	C₂²	1	2	yes	complemented
63	#2854	C₂²	1	1	yes	characteristic, complemented
64	#2853	C₂²	1	2	yes	complemented
65	#2852	C₂²	1	4	yes	complemented
66	#2851	C₂²	1	2	yes	complemented
67	#2851	C₂²	1	4	yes	complemented
68	#2850	C₂²	1	2	yes	complemented
69	#2849	C₂²	1	2	yes	—
70	#2848	C₂²	1	1	yes	characteristic
71	#2848	C₂²	1	2	yes	—
72	#2848	C₂²	1	2	yes	—
73	#2848	C₂²	1	4	yes	—
74	#2847	C₂²	1	1	yes	characteristic
75	#2846	C₂²	1	4	yes	—
76	#2820	C₂²	1	2	yes	complemented
77	#2820	C₂²	1	4	yes	complemented
78	#2819	C₂²	1	2	yes	complemented
79	#2731	C₂²	1	8	yes	complemented
80	#2730	C₂²	1	8	yes	complemented
81	#2717	C₂²	1	8	yes	complemented
82	#2715	C₂²	1	8	yes	complemented
83	#2715	C₂²	1	8	yes	complemented
84	#2712	C₂²	1	8	yes	complemented
85	#2710	C₂²	1	8	yes	complemented
86	#2700	C₂²	1	8	yes	complemented
87	#2700	C₂²	1	8	yes	complemented
88	#2686	C₂²	1	8	yes	complemented
89	#2676	C₂²	1	8	yes	complemented
90	#2674	C₂²	1	8	yes	complemented
91	#2674	C₂²	1	8	yes	complemented
92	#2674	C₂²	1	8	yes	complemented
93	#2672	C₂²	1	8	yes	complemented
94	#2672	C₂²	1	8	yes	complemented
95	#2662	C₂²	1	4	yes	complemented
96	#2658	C₂²	1	2	yes	complemented
97	#2640	C₂²	1	2	yes	complemented
98	#2632	C₂²	1	4	yes	complemented
99	#2626	C₂²	1	2	yes	complemented
100	#2626	C₂²	1	2	yes	complemented
101	#2626	C₂²	1	2	yes	complemented
102	#2626	C₂²	1	4	yes	complemented
103	#2622	C₂²	1	4	yes	complemented
104	#2620	C₂²	1	4	yes	complemented
105	#2617	C₂²	1	2	yes	complemented
106	#2592	C₂²	1	2	yes	complemented
107	#2561	C₂²	1	4	yes	complemented
108	#2547	C₂²	1	4	yes	complemented
109	#2545	C₂²	1	4	yes	complemented
110	#2545	C₂²	1	4	yes	complemented
111	#2540	C₂²	1	2	yes	complemented
112	#2534	C₂²	1	4	yes	complemented
113	#2521	C₂²	1	8	yes	complemented
114	#2491	C₂²	1	8	yes	complemented
115	#2483	C₂²	1	4	yes	complemented
116	#2482	C₂²	1	4	yes	complemented
117	#2480	C₂²	1	8	yes	complemented
118	#2480	C₂²	1	8	yes	complemented
119	#2480	C₂²	1	8	yes	complemented
120	#2474	C₂²	1	8	yes	complemented
121	#2472	C₂²	1	8	yes	complemented
122	#2472	C₂²	1	8	yes	complemented
123	#2461	C₂²	1	8	yes	complemented
124	#2448	C₂²	1	4	yes	complemented
125	#2447	C₂²	1	4	yes	complemented
126	#2437	C₂²	1	8	yes	complemented
127	#2437	C₂²	1	8	yes	complemented
128	#2437	C₂²	1	8	yes	complemented
129	#2437	C₂²	1	8	yes	complemented
130	#2437	C₂²	1	8	yes	complemented
131	#2436	C₂²	1	4	yes	complemented
132	#2435	C₂²	1	4	yes	—
133	#2435	C₂²	1	2	yes	—
134	#2434	C₂²	1	2	yes	complemented
135	#2434	C₂²	1	4	yes	complemented
136	#2434	C₂²	1	8	yes	complemented
137	#2434	C₂²	1	4	yes	complemented
138	#2432	C₂²	1	4	yes	complemented
139	#2427	C₂²	1	4	yes	complemented
140	#2426	C₂²	1	4	yes	complemented
141	#2424	C₂²	1	8	yes	complemented
142	#2418	C₂²	1	8	yes	complemented
143	#2418	C₂²	1	8	yes	complemented
144	#2412	C₂²	1	4	yes	complemented
145	#2412	C₂²	1	8	yes	complemented
146	#2411	C₂²	1	4	yes	complemented
147	#2410	C₂²	1	8	yes	—
148	#2410	C₂²	1	4	yes	—
149	#2409	C₂²	1	2	yes	complemented
150	#2409	C₂²	1	4	yes	complemented
151	#2409	C₂²	1	8	yes	complemented
152	#2409	C₂²	1	4	yes	complemented
153	#2408	C₂²	1	4	yes	—
154	#2408	C₂²	1	2	yes	—
155	#2405	C₂²	1	8	yes	—
156	#2405	C₂²	1	4	yes	—
157	#2379	C₂²	1	4	yes	complemented
158	#2367	C₂²	1	4	yes	complemented
159	#2358	C₂²	1	8	yes	complemented
160	#2342	C₂²	1	4	yes	complemented
161	#2342	C₂²	1	8	yes	complemented
162	Q₈×C₂²⋊C₄	C₂²	1	4	yes	complemented
163	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
164	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
165	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
166	#2337	C₂²	1	4	yes	complemented
167	#2326	C₂²	1	4	yes	complemented
168	#2321	C₂²	1	4	yes	complemented
169	#2315	C₂²	1	2	yes	complemented
170	#2315	C₂²	1	4	yes	complemented
171	#2312	C₂²	1	2	yes	complemented
172	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
173	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
174	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
175	C₄×#123	C₂²	1	2	yes	complemented
176	C₄×#121	C₂²	1	2	yes	complemented
177	C₄×#120	C₂²	1	2	yes	—
178	C₄×#120	C₂²	1	4	yes	—
179	#2296	C₂²	1	2	yes	complemented
180	#2290	C₂²	1	4	yes	complemented
181	#2285	C₂²	1	1	yes	characteristic, complemented
182	#2283	C₂²	1	1	yes	characteristic, complemented
183	#2280	C₂²	1	2	yes	—
184	C₂×#379	C₂²	1	4	yes	—
185	C₂⁶	C₂³	1	2	yes	—
186	C₂²×#41	C₂³	1	2	yes	—
187	C₂³×Q₈	—	2	8	no	—
188	C₂³×Q₈	—	4	8	no	—
189	C₂³×Q₈	C₂³	1	4	yes	—
190	C₂³×Q₈	C₂³	1	4	yes	—
191	C₂³×Q₈	C₂³	1	2	yes	—
192	C₂³×Q₈	C₂³	1	1	yes	characteristic
193	C₂³×Q₈	C₂³	1	1	yes	characteristic
194	C₂³×Q₈	C₂³	1	2	yes	complemented
195	C₂³×D₄	—	2	8	no	—
196	C₂³×D₄	—	4	8	no	—
197	C₂³×D₄	C₂³	1	4	yes	—
198	C₂³×D₄	C₂³	1	2	yes	—
199	C₂³×D₄	C₂³	1	4	yes	—
200	C₂³×D₄	C₂³	1	1	yes	characteristic
201	C₂³×D₄	C₂³	1	1	yes	characteristic
202	C₂⁴×C₄	C₂³	1	1	yes	characteristic
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄	C₂³	1	2	yes	—
205	C₂⁴×C₄	C₂³	1	1	yes	characteristic
206	#563	—	2	16	no	—
207	#562	—	2	16	no	—
208	#556	—	2	16	no	—
209	#551	—	2	32	no	—
210	D₄×Q₈	—	2	16	no	—
211	D₄×Q₈	—	4	16	no	—
212	#548	—	2	16	no	—
213	#546	—	2	16	no	—
214	#546	—	4	16	no	—
215	#543	—	2	16	no	—
216	#542	—	2	32	no	—
217	#542	—	2	16	no	—
218	#538	—	2	16	no	—
219	#536	—	2	16	no	—
220	#533	—	2	8	no	—
221	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
222	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
223	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
224	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
225	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
226	C₂×C₄⋊Q₈	C₂³	1	8	yes	complemented
227	#529	—	2	8	no	—
228	C₂×#126	C₂³	1	2	yes	complemented
229	C₂×#126	C₂³	1	4	yes	complemented
230	C₂×#126	C₂³	1	4	yes	complemented
231	C₂×#126	C₂³	1	4	yes	complemented
232	C₂×#125	C₂³	1	1	yes	characteristic, complemented
233	C₂×#125	C₂³	1	2	yes	complemented
234	C₂×#124	—	2	8	no	—
235	C₂×#124	—	2	8	no	—
236	C₂×#124	—	2	32	no	—
237	C₂×#124	—	2	32	no	—
238	C₂×#124	—	2	32	no	—
239	C₂×#124	—	2	32	no	—
240	C₂×#124	—	2	16	no	—
241	C₂×#124	—	2	16	no	—
242	C₂×#124	—	2	8	no	—
243	C₂×#124	D₄	1	16	yes	complemented
244	C₂×#124	C₂³	1	2	yes	—
245	C₂×#124	C₂³	1	2	yes	—
246	C₂×#124	C₂³	1	2	yes	—
247	C₂×#124	C₂³	1	2	yes	—
248	C₂×#124	C₂³	1	8	yes	—
249	C₂×#124	C₂³	1	8	yes	—
250	C₂×#124	C₂³	1	8	yes	—
251	C₂×#124	C₂³	1	4	yes	—
252	C₂×#124	C₂³	1	4	yes	—
253	C₂×#124	C₂³	1	4	yes	—
254	C₂×#124	C₂³	1	8	yes	—
255	C₂×#124	C₂³	1	4	yes	—
256	C₂×#124	C₂³	1	2	yes	—
257	C₂×#124	C₂³	1	4	yes	—
258	C₂×#124	C₂³	1	2	yes	—
259	C₂×#124	C₂³	1	2	yes	—
260	C₂×#124	C₂³	1	2	yes	—
261	C₂×#124	C₂³	1	2	yes	—
262	C₂×#124	C₂³	1	1	yes	characteristic, complemented
263	C₂×#124	C₂³	1	4	yes	complemented
264	C₂×#124	C₂³	1	4	yes	complemented
265	C₂×#123	C₂³	1	2	yes	—
266	C₂×#123	C₂³	1	4	yes	—
267	C₂×#123	C₂³	1	2	yes	—
268	C₂×#123	C₂³	1	8	yes	—
269	C₂×#123	C₂³	1	4	yes	complemented
270	C₂×#123	C₂³	1	4	yes	complemented
271	C₂×#123	C₂³	1	4	yes	complemented
272	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
275	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
276	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
277	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
278	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
279	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
280	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
281	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
282	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
283	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
284	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
285	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
286	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
287	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
288	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
289	C₂×#121	C₂³	1	1	yes	characteristic
290	C₂×#121	C₂³	1	2	yes	—
291	C₂×#121	C₂³	1	4	yes	—
292	C₂×#121	C₂³	1	2	yes	—
293	C₂×#121	C₂³	1	4	yes	—
294	C₂×#121	C₂³	1	8	yes	—
295	C₂×#121	C₂³	1	4	yes	complemented
296	C₂×#120	C₂³	1	2	yes	—
297	C₂×#120	C₂³	1	4	yes	—
298	C₂×#120	C₂³	1	4	yes	—
299	C₂×#120	C₂³	1	8	yes	—
300	C₂×#120	C₂³	1	8	yes	—
301	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
302	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
303	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
304	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
305	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
306	C₂×C₄×D₄	C₂³	1	4	yes	—
307	C₂×C₄×D₄	C₂³	1	2	yes	—
308	C₂×C₄×D₄	C₂³	1	2	yes	—
309	C₂×C₄×D₄	C₂³	1	4	yes	—
310	C₂×C₄×D₄	C₂³	1	4	yes	—
311	C₂×C₄×D₄	C₂³	1	8	yes	—
312	C₂×C₄×D₄	C₂³	1	4	yes	complemented
313	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
314	C₂×#117	C₂³	1	2	yes	—
315	C₂×#117	C₂³	1	2	yes	—
316	C₂×#117	C₂³	1	4	yes	complemented
317	C₂×#117	C₂³	1	2	yes	complemented
318	C₂²×C₂²⋊C₄	—	2	16	no	—
319	C₂²×C₂²⋊C₄	—	2	16	no	—
320	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
334	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
335	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂²×C₄²	—	2	8	no	—
337	C₂²×C₄²	C₂³	1	2	yes	—
338	C₂²×C₄²	C₂³	1	2	yes	—
339	C₂²×C₄²	C₂³	1	1	yes	characteristic
340	C₂²×C₄²	C₂³	1	1	yes	characteristic
341	C₂²×C₄²	C₂³	1	1	yes	characteristic
342	C₂²×C₄²	C₂³	1	2	yes	—
343	C₂²×C₄²	C₂³	1	2	yes	—
344	C₂²×C₄²	C₂³	1	1	yes	characteristic
345	#399	C₂³	1	4	yes	complemented
346	#399	C₂³	1	8	yes	complemented
347	#399	C₂³	1	4	yes	complemented
348	#399	C₂³	1	4	yes	complemented
349	#399	C₂³	1	8	yes	complemented
350	#397	C₂³	1	8	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#397	C₂³	1	8	yes	complemented
353	#397	C₂³	1	8	yes	complemented
354	#397	C₂³	1	8	yes	complemented
355	#397	C₂³	1	8	yes	complemented
356	#397	C₂³	1	8	yes	complemented
357	#397	C₂³	1	8	yes	complemented
358	#396	C₂³	1	8	yes	complemented
359	#396	C₂³	1	8	yes	complemented
360	#396	C₂³	1	8	yes	complemented
361	#396	C₂³	1	8	yes	complemented
362	#396	C₂³	1	8	yes	complemented
363	#396	C₂³	1	8	yes	complemented
364	#396	C₂³	1	8	yes	complemented
365	#395	C₂³	1	8	yes	complemented
366	#395	C₂³	1	4	yes	complemented
367	#395	C₂³	1	8	yes	complemented
368	#395	C₂³	1	8	yes	complemented
369	#395	C₂³	1	8	yes	complemented
370	#394	C₂³	1	8	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	8	yes	—
373	#394	C₂³	1	8	yes	—
374	#394	C₂³	1	8	yes	—
375	#394	C₂³	1	8	yes	complemented
376	#394	C₂³	1	8	yes	complemented
377	#394	C₂³	1	8	yes	complemented
378	#394	C₂³	1	8	yes	complemented
379	#394	C₂³	1	8	yes	complemented
380	#394	C₂³	1	8	yes	complemented
381	#393	C₂³	1	8	yes	complemented
382	#393	C₂³	1	4	yes	complemented
383	#393	C₂³	1	4	yes	complemented
384	#393	C₂³	1	4	yes	complemented
385	#393	C₂³	1	4	yes	complemented
386	#393	C₂³	1	8	yes	complemented
387	#393	C₂³	1	8	yes	complemented
388	#392	C₂³	1	4	yes	—
389	#392	C₂³	1	8	yes	—
390	#392	C₂³	1	4	yes	complemented
391	#391	C₂³	1	4	yes	complemented
392	#391	C₂³	1	4	yes	complemented
393	#391	C₂³	1	8	yes	complemented
394	#391	C₂³	1	2	yes	complemented
395	#391	C₂³	1	4	yes	complemented
396	#391	C₂³	1	8	yes	complemented
397	#391	C₂³	1	8	yes	complemented
398	#391	C₂³	1	4	yes	complemented
399	#391	C₂³	1	4	yes	complemented
400	#390	C₂³	1	4	yes	—
401	#390	C₂³	1	4	yes	—
402	#390	C₂³	1	4	yes	—
403	#390	C₂³	1	8	yes	complemented
404	#390	C₂³	1	2	yes	complemented
405	#390	C₂³	1	8	yes	complemented
406	#389	C₂³	1	2	yes	complemented
407	#389	C₂³	1	2	yes	complemented
408	#389	C₂³	1	4	yes	complemented
409	#389	C₂³	1	4	yes	complemented
410	#389	C₂³	1	4	yes	complemented
411	#389	C₂³	1	4	yes	complemented
412	#388	C₂³	1	8	yes	complemented
413	#388	C₂³	1	8	yes	complemented
414	#388	C₂³	1	8	yes	complemented
415	#388	C₂³	1	8	yes	complemented
416	#388	C₂³	1	8	yes	complemented
417	#388	C₂³	1	8	yes	complemented
418	#388	C₂³	1	8	yes	complemented
419	#388	C₂³	1	8	yes	complemented
420	#388	C₂³	1	8	yes	complemented
421	#388	C₂³	1	4	yes	complemented
422	#388	C₂³	1	4	yes	complemented
423	#388	C₂³	1	4	yes	complemented
424	#388	C₂³	1	4	yes	complemented
425	#388	C₂³	1	8	yes	complemented
426	#388	C₂³	1	8	yes	complemented
427	#388	C₂³	1	8	yes	complemented
428	#387	C₂³	1	4	yes	complemented
429	#387	C₂³	1	4	yes	complemented
430	#387	C₂³	1	8	yes	complemented
431	#387	C₂³	1	8	yes	complemented
432	#387	C₂³	1	4	yes	complemented
433	#387	C₂³	1	4	yes	complemented
434	#386	C₂³	1	2	yes	—
435	#386	C₂³	1	4	yes	—
436	#386	C₂³	1	8	yes	—
437	#386	C₂³	1	4	yes	—
438	#386	C₂³	1	4	yes	—
439	#386	C₂³	1	8	yes	—
440	#386	C₂³	1	8	yes	—
441	#386	C₂³	1	4	yes	—
442	#386	C₂³	1	2	yes	—
443	#386	C₂³	1	4	yes	—
444	#386	C₂³	1	8	yes	—
445	#386	C₂³	1	8	yes	complemented
446	#386	C₂³	1	8	yes	complemented
447	#386	C₂³	1	8	yes	complemented
448	#385	C₂³	1	2	yes	—
449	#385	C₂³	1	4	yes	—
450	#385	C₂³	1	4	yes	—
451	#385	C₂³	1	4	yes	—
452	#385	C₂³	1	8	yes	—
453	#385	C₂³	1	8	yes	—
454	#385	C₂³	1	4	yes	—
455	#385	C₂³	1	8	yes	—
456	#385	C₂³	1	4	yes	—
457	#385	C₂³	1	8	yes	—
458	#385	C₂³	1	4	yes	—
459	#385	C₂³	1	4	yes	—
460	#385	C₂³	1	4	yes	—
461	#385	C₂³	1	2	yes	—
462	#385	C₂³	1	4	yes	—
463	#385	C₂³	1	8	yes	—
464	#385	C₂³	1	8	yes	complemented
465	#385	C₂³	1	8	yes	complemented
466	#385	C₂³	1	8	yes	complemented
467	#385	C₂³	1	8	yes	complemented
468	#385	C₂³	1	8	yes	complemented
469	#385	C₂³	1	8	yes	complemented
470	#384	C₂³	1	2	yes	complemented
471	#383	C₂³	1	2	yes	complemented
472	#382	C₂³	1	2	yes	complemented
473	#382	C₂³	1	2	yes	complemented
474	#381	C₂³	1	2	yes	—
475	#381	C₂³	1	4	yes	—
476	#381	C₂³	1	2	yes	—
477	#381	C₂³	1	8	yes	complemented
478	#380	C₂³	1	1	yes	characteristic
479	#380	C₂³	1	2	yes	—
480	#380	C₂³	1	1	yes	characteristic
481	#380	C₂³	1	4	yes	—
482	#380	C₂³	1	2	yes	—
483	#380	C₂³	1	2	yes	—
484	#380	C₂³	1	4	yes	—
485	#380	C₂³	1	2	yes	—
486	#380	C₂³	1	8	yes	—
487	#380	C₂³	1	4	yes	—
488	#380	C₂³	1	4	yes	—
489	#380	C₂³	1	4	yes	—
490	#380	C₂³	1	8	yes	complemented
491	#380	C₂³	1	8	yes	complemented
492	#380	C₂³	1	8	yes	complemented
493	#379	C₂³	1	4	yes	—
494	#379	C₂³	1	4	yes	—
495	#379	C₂³	1	4	yes	—
496	#379	C₂³	1	4	yes	—
497	#379	C₂³	1	8	yes	—
498	#379	C₂³	1	8	yes	—
499	#379	C₂³	1	2	yes	—
500	#379	C₂³	1	4	yes	—
501	#379	C₂³	1	8	yes	—
502	#379	C₂³	1	8	yes	—
503	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
504	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
505	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
506	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
507	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
508	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
509	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
510	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
512	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
513	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
514	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
515	#376	C₂³	1	2	yes	complemented
516	C₂⁵	—	2	8	no	—
517	C₂⁵	—	2	8	no	—
518	C₂⁵	—	4	8	no	—
519	C₂⁵	—	4	4	no	—
520	C₂⁵	—	4	8	no	—
521	C₂⁵	C₂⁴	1	1	yes	characteristic
522	C₂⁵	C₂⁴	1	8	yes	—
523	C₂⁵	C₂⁴	1	2	yes	—
524	C₂⁵	C₂⁴	1	2	yes	—
525	C₂×#41	—	2	8	no	—
526	C₂×#41	—	4	8	no	—
527	C₂²×Q₈	—	2	16	no	—
528	C₂²×Q₈	—	2	16	no	—
529	C₂²×Q₈	—	2	8	no	—
530	C₂²×Q₈	—	2	8	no	—
531	C₂²×Q₈	—	2	4	no	—
532	C₂²×Q₈	—	2	16	no	—
533	C₂²×Q₈	—	4	8	no	—
534	C₂²×Q₈	—	4	4	no	—
535	C₂²×Q₈	—	4	8	no	—
536	C₂²×Q₈	—	4	8	no	—
537	C₂²×Q₈	—	4	8	no	—
538	C₂²×Q₈	—	4	4	no	—
539	C₂²×Q₈	—	4	8	no	—
540	C₂²×Q₈	—	4	64	no	—
541	C₂²×Q₈	C₂×D₄	1	8	yes	—
542	C₂²×Q₈	C₂⁴	1	2	yes	—
543	C₂²×Q₈	C₂⁴	1	2	yes	—
544	C₂²×Q₈	C₂⁴	1	8	yes	—
545	C₂²×Q₈	C₂⁴	1	2	yes	—
546	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
547	C₂²×Q₈	C₂⁴	1	2	yes	—
548	C₂²×Q₈	C₂⁴	1	4	yes	—
549	C₂²×Q₈	C₂⁴	1	2	yes	—
550	C₂²×Q₈	C₂⁴	1	2	yes	—
551	C₂²×D₄	—	2	8	no	—
552	C₂²×D₄	—	2	16	no	—
553	C₂²×D₄	—	2	16	no	—
554	C₂²×D₄	—	2	4	no	—
555	C₂²×D₄	—	2	16	no	—
556	C₂²×D₄	—	4	4	no	—
557	C₂²×D₄	—	4	8	no	—
558	C₂²×D₄	—	4	8	no	—
559	C₂²×D₄	—	4	8	no	—
560	C₂²×D₄	—	4	4	no	—
561	C₂²×D₄	—	4	8	no	—
562	C₂²×D₄	—	4	64	no	—
563	C₂²×D₄	C₂×D₄	1	8	yes	—
564	C₂²×D₄	C₂⁴	1	2	yes	—
565	C₂²×D₄	C₂⁴	1	4	yes	—
566	C₂²×D₄	C₂⁴	1	2	yes	—
567	C₂²×D₄	C₂⁴	1	8	yes	—
568	C₂²×D₄	C₂⁴	1	2	yes	—
569	C₂²×D₄	C₂⁴	1	4	yes	—
570	C₂²×D₄	C₂⁴	1	1	yes	characteristic
571	C₂²×D₄	C₂⁴	1	4	yes	—
572	C₂²×D₄	C₂⁴	1	2	yes	—
573	C₂²×D₄	C₂⁴	1	8	yes	—
574	C₂²×D₄	C₂⁴	1	2	yes	—
575	C₂³×C₄	—	2	4	no	—
576	C₂³×C₄	—	2	8	no	—
577	C₂³×C₄	—	2	4	no	—
578	C₂³×C₄	—	2	8	no	—
579	C₂³×C₄	—	2	4	no	—
580	C₂³×C₄	—	2	4	no	—
581	C₂³×C₄	—	4	2	no	—
582	C₂³×C₄	—	4	4	no	—
583	C₂³×C₄	—	4	8	no	—
584	C₂³×C₄	C₂⁴	1	1	yes	characteristic
585	C₂³×C₄	C₂⁴	1	2	yes	—
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₂³×C₄	C₂⁴	1	2	yes	—
588	C₂³×C₄	C₂⁴	1	8	yes	—
589	C₂³×C₄	C₂⁴	1	2	yes	—
590	C₂³×C₄	C₂⁴	1	2	yes	—
591	C₂³×C₄	C₂⁴	1	2	yes	—
592	C₂³×C₄	C₂⁴	1	2	yes	—
593	C₂³×C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₄	C₂⁴	1	1	yes	characteristic
595	C₂³×C₄	C₂⁴	1	2	yes	—
596	C₂³×C₄	C₂⁴	1	2	yes	—
597	C₂³×C₄	C₂⁴	1	1	yes	characteristic
598	C₂³×C₄	C₂⁴	1	4	yes	—
599	C₂³×C₄	C₂⁴	1	4	yes	—
600	C₂³×C₄	C₂⁴	1	4	yes	—
601	C₂³×C₄	C₂⁴	1	8	yes	—
602	C₂³×C₄	C₂⁴	1	2	yes	—
603	C₂³×C₄	C₂⁴	1	1	yes	characteristic
604	C₄⋊Q₈	—	2	8	no	—
605	C₄⋊Q₈	—	2	16	no	—
606	C₄⋊Q₈	—	2	4	no	—
607	C₄⋊Q₈	—	2	4	no	—
608	C₄⋊Q₈	—	4	8	no	—
609	C₄⋊Q₈	—	4	16	no	—
610	#126	—	2	16	no	—
611	#126	—	2	16	no	—
612	#126	—	2	16	no	—
613	#126	—	2	8	no	—
614	#125	—	2	4	no	—
615	#125	—	2	8	no	—
616	#124	—	2	16	no	—
617	#124	—	2	16	no	—
618	#124	—	2	16	no	—
619	#124	—	2	16	no	—
620	#124	—	2	8	no	—
621	#124	—	2	32	no	—
622	#124	—	2	32	no	—
623	#124	—	2	32	no	—
624	#124	—	2	32	no	—
625	#124	—	2	16	no	—
626	#124	—	2	16	no	—
627	#124	—	2	8	no	—
628	#124	—	2	8	no	—
629	#124	—	2	8	no	—
630	#124	—	2	8	no	—
631	#124	—	2	4	no	—
632	#124	—	4	8	no	—
633	#124	C₂×D₄	1	16	yes	—
634	#124	C₂×D₄	1	16	yes	—
635	#124	C₂×D₄	1	16	yes	—
636	#124	C₂×D₄	1	16	yes	—
637	#123	—	2	16	no	—
638	#123	—	2	8	no	—
639	#123	—	2	16	no	—
640	#123	—	2	16	no	—
641	#123	—	2	16	no	—
642	#123	—	4	4	no	—
643	#123	—	4	16	no	—
644	C₂²⋊Q₈	—	2	8	no	—
645	C₂²⋊Q₈	—	2	16	no	—
646	C₂²⋊Q₈	—	2	4	no	—
647	C₂²⋊Q₈	—	2	8	no	—
648	C₂²⋊Q₈	—	2	8	no	—
649	C₂²⋊Q₈	—	2	16	no	—
650	C₂²⋊Q₈	—	2	16	no	—
651	C₂²⋊Q₈	—	2	16	no	—
652	C₂²⋊Q₈	—	2	16	no	—
653	C₂²⋊Q₈	—	2	16	no	—
654	C₂²⋊Q₈	—	2	16	no	—
655	C₂²⋊Q₈	—	2	16	no	—
656	C₂²⋊Q₈	—	4	4	no	—
657	C₂²⋊Q₈	—	4	8	no	—
658	C₂²⋊Q₈	—	4	16	no	—
659	C₂²⋊Q₈	—	4	16	no	—
660	C₂²⋊Q₈	—	4	8	no	—
661	#121	—	2	8	no	—
662	#121	—	2	16	no	—
663	#121	—	2	4	no	—
664	#121	—	2	16	no	—
665	#121	—	4	16	no	—
666	#121	—	4	8	no	—
667	#121	—	4	4	no	—
668	#120	—	2	16	no	—
669	#120	—	2	8	no	—
670	#120	—	4	8	no	—
671	#120	—	4	16	no	—
672	#120	—	4	16	no	—
673	C₄×Q₈	—	2	8	no	—
674	C₄×Q₈	—	2	4	no	—
675	C₄×Q₈	—	2	8	no	—
676	C₄×Q₈	—	2	8	no	—
677	C₄×Q₈	—	4	8	no	—
678	C₄×D₄	—	2	8	no	—
679	C₄×D₄	—	2	8	no	—
680	C₄×D₄	—	2	16	no	—
681	C₄×D₄	—	2	16	no	—
682	C₄×D₄	—	2	16	no	—
683	C₄×D₄	—	2	4	no	—
684	C₄×D₄	—	4	8	no	—
685	C₄×D₄	—	4	16	no	—
686	#117	—	2	8	no	—
687	#117	—	2	16	no	—
688	#117	—	2	8	no	—
689	#117	—	4	4	no	—
690	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
691	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
692	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
693	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
694	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
696	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
697	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
698	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
699	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
700	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
706	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
708	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
709	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
710	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
711	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
712	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
713	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
714	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
715	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
716	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
719	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊C₄	—	2	8	no	—
721	C₂×C₂²⋊C₄	—	2	8	no	—
722	C₂×C₂²⋊C₄	—	2	16	no	—
723	C₂×C₂²⋊C₄	—	2	8	no	—
724	C₂×C₂²⋊C₄	—	2	8	no	—
725	C₂×C₂²⋊C₄	—	2	8	no	—
726	C₂×C₂²⋊C₄	—	2	8	no	—
727	C₂×C₂²⋊C₄	—	2	32	no	—
728	C₂×C₂²⋊C₄	—	2	32	no	—
729	C₂×C₂²⋊C₄	—	2	32	no	—
730	C₂×C₂²⋊C₄	—	2	32	no	—
731	C₂×C₂²⋊C₄	—	4	16	no	—
732	C₂×C₂²⋊C₄	—	4	8	no	—
733	C₂×C₂²⋊C₄	—	4	16	no	—
734	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	—
735	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
751	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
752	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₄²	—	2	4	no	—
782	C₂×C₄²	—	2	4	no	—
783	C₂×C₄²	—	2	4	no	—
784	C₂×C₄²	—	2	8	no	—
785	C₂×C₄²	—	2	8	no	—
786	C₂×C₄²	—	2	8	no	—
787	C₂×C₄²	—	2	8	no	—
788	C₂×C₄²	C₂×D₄	1	8	yes	—
789	C₂×C₄²	C₂⁴	1	4	yes	—
790	C₂×C₄²	C₂⁴	1	2	yes	—
791	C₂×C₄²	C₂⁴	1	4	yes	—
792	C₂×C₄²	C₂⁴	1	4	yes	—
793	C₂×C₄²	C₂⁴	1	2	yes	—
794	C₂×C₄²	C₂⁴	1	2	yes	—
795	C₂×C₄²	C₂⁴	1	2	yes	—
796	C₂×C₄²	C₂⁴	1	2	yes	—
797	C₂×C₄²	C₂⁴	1	2	yes	—
798	C₂×C₄²	C₂⁴	1	2	yes	—
799	C₂×C₄²	C₂⁴	1	4	yes	—
800	C₂×C₄²	C₂⁴	1	8	yes	—
801	C₂×C₄²	C₂⁴	1	1	yes	characteristic
802	C₂×C₄²	C₂⁴	1	1	yes	characteristic
803	C₂×C₄²	C₂⁴	1	1	yes	characteristic
804	C₂×C₄²	C₂⁴	1	1	yes	characteristic
805	#95	C₂⁴	1	2	yes	—
806	#95	C₂⁴	1	2	yes	—
807	#95	C₂⁴	1	4	yes	—
808	#95	C₂⁴	1	8	yes	—
809	#95	C₂⁴	1	8	yes	—
810	#95	C₂⁴	1	8	yes	—
811	#95	C₂⁴	1	8	yes	—
812	#95	C₂⁴	1	4	yes	—
813	#95	C₂⁴	1	8	yes	—
814	#95	C₂⁴	1	4	yes	—
815	#95	C₂⁴	1	4	yes	—
816	#95	C₂⁴	1	4	yes	—
817	#95	C₂⁴	1	4	yes	—
818	#95	C₂⁴	1	8	yes	—
819	#95	C₂⁴	1	4	yes	—
820	#95	C₂⁴	1	8	yes	—
821	#95	C₂⁴	1	4	yes	—
822	#95	C₂⁴	1	4	yes	—
823	#95	C₂⁴	1	8	yes	—
824	#95	C₂⁴	1	4	yes	—
825	#95	C₂⁴	1	4	yes	—
826	#95	C₂⁴	1	8	yes	—
827	#95	C₂⁴	1	8	yes	—
828	C₂⁴	—	2	2	no	—
829	C₂⁴	—	2	4	no	—
830	C₂⁴	—	2	4	no	—
831	C₂⁴	—	2	2	no	—
832	C₂⁴	—	2	4	no	—
833	C₂⁴	—	2	4	no	—
834	C₂⁴	—	2	16	no	—
835	C₂⁴	—	2	4	no	—
836	C₂⁴	—	2	16	no	—
837	C₂⁴	—	2	16	no	—
838	C₂⁴	—	2	16	no	—
839	C₂⁴	—	2	4	no	—
840	C₂⁴	—	2	4	no	—
841	C₂⁴	—	4	4	no	—
842	C₂⁴	—	4	8	no	—
843	C₂⁴	—	4	4	no	—
844	C₂⁴	—	4	8	no	—
845	C₂⁴	—	4	4	no	—
846	C₂⁴	—	4	8	no	—
847	C₂⁴	—	4	4	no	—
848	C₂⁴	—	4	32	no	—
849	C₂⁴	—	4	32	no	—
850	C₂⁴	—	4	32	no	—
851	C₂⁴	—	8	32	no	—
852	C₂⁴	—	8	32	no	—
853	C₂⁴	C₂²×D₄	1	8	yes	—
854	C₂⁴	2₋¹⁺⁴	1	4	yes	—
855	C₂⁴	C₂⁵	1	4	yes	—
856	C₂⁴	C₂⁵	1	2	yes	—
857	C₂⁴	C₂⁵	1	4	yes	—
858	C₂⁴	C₂⁵	1	1	yes	characteristic
859	C₂⁴	C₂⁵	1	2	yes	—
860	#41	—	8	16	no	—
861	C₂×Q₈	—	2	4	no	—
862	C₂×Q₈	—	2	16	no	—
863	C₂×Q₈	—	2	4	no	—
864	C₂×Q₈	—	2	4	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	4	no	—
867	C₂×Q₈	—	2	8	no	—
868	C₂×Q₈	—	2	8	no	—
869	C₂×Q₈	—	2	8	no	—
870	C₂×Q₈	—	2	16	no	—
871	C₂×Q₈	—	2	8	no	—
872	C₂×Q₈	—	4	4	no	—
873	C₂×Q₈	—	4	8	no	—
874	C₂×Q₈	—	4	4	no	—
875	C₂×Q₈	—	4	8	no	—
876	C₂×Q₈	—	4	2	no	—
877	C₂×Q₈	—	4	4	no	—
878	C₂×Q₈	—	4	16	no	—
879	C₂×Q₈	—	4	64	no	—
880	C₂×Q₈	—	4	32	no	—
881	C₂×Q₈	—	4	64	no	—
882	C₂×Q₈	—	4	16	no	—
883	C₂×Q₈	—	8	16	no	—
884	C₂×Q₈	C₂²×D₄	1	8	yes	—
885	C₂×Q₈	C₂²×D₄	1	8	yes	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	16	no	—
888	C₂×D₄	—	2	8	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	8	no	—
891	C₂×D₄	—	2	8	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	8	no	—
894	C₂×D₄	—	2	8	no	—
895	C₂×D₄	—	2	4	no	—
896	C₂×D₄	—	2	4	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	8	no	—
899	C₂×D₄	—	2	16	no	—
900	C₂×D₄	—	2	8	no	—
901	C₂×D₄	—	4	16	no	—
902	C₂×D₄	—	4	64	no	—
903	C₂×D₄	—	4	4	no	—
904	C₂×D₄	—	4	8	no	—
905	C₂×D₄	—	4	4	no	—
906	C₂×D₄	—	4	64	no	—
907	C₂×D₄	—	4	32	no	—
908	C₂×D₄	—	4	16	no	—
909	C₂×D₄	—	4	8	no	—
910	C₂×D₄	—	4	8	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	8	no	—
913	C₂×D₄	—	4	8	no	—
914	C₂×D₄	—	4	8	no	—
915	C₂×D₄	C₂²×D₄	1	8	yes	—
916	C₂×D₄	C₂²×D₄	1	8	yes	—
917	C₂²×C₄	—	2	32	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	2	4	no	—
924	C₂²×C₄	—	2	4	no	—
925	C₂²×C₄	—	2	4	no	—
926	C₂²×C₄	—	2	4	no	—
927	C₂²×C₄	—	2	4	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	4	no	—
931	C₂²×C₄	—	2	16	no	—
932	C₂²×C₄	—	2	4	no	—
933	C₂²×C₄	—	2	4	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	4	no	—
936	C₂²×C₄	—	2	4	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	8	no	—
939	C₂²×C₄	—	2	8	no	—
940	C₂²×C₄	—	2	4	no	—
941	C₂²×C₄	—	2	4	no	—
942	C₂²×C₄	—	2	4	no	—
943	C₂²×C₄	—	2	4	no	—
944	C₂²×C₄	—	2	16	no	—
945	C₂²×C₄	—	2	4	no	—
946	C₂²×C₄	—	2	8	no	—
947	C₂²×C₄	—	2	8	no	—
948	C₂²×C₄	—	4	2	no	—
949	C₂²×C₄	—	4	2	no	—
950	C₂²×C₄	—	4	2	no	—
951	C₂²×C₄	—	4	2	no	—
952	C₂²×C₄	—	4	2	no	—
953	C₂²×C₄	—	4	2	no	—
954	C₂²×C₄	—	4	4	no	—
955	C₂²×C₄	—	4	8	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	8	no	—
958	C₂²×C₄	—	4	8	no	—
959	C₂²×C₄	—	4	8	no	—
960	C₂²×C₄	—	4	8	no	—
961	C₂²×C₄	—	4	8	no	—
962	C₂²×C₄	—	4	8	no	—
963	C₂²×C₄	—	4	16	no	—
964	C₂²×C₄	—	4	16	no	—
965	C₂²×C₄	—	4	32	no	—
966	C₂²×C₄	C₂²×D₄	1	4	yes	—
967	C₂²×C₄	C₂²×D₄	1	4	yes	—
968	C₂²×C₄	C₂²×D₄	1	4	yes	—
969	C₂²×C₄	C₂²×D₄	1	8	yes	—
970	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
971	C₂²×C₄	C₂⁵	1	2	yes	—
972	C₂²×C₄	C₂⁵	1	4	yes	—
973	C₂²×C₄	C₂⁵	1	8	yes	—
974	C₂²×C₄	C₂⁵	1	4	yes	—
975	C₂²×C₄	C₂⁵	1	2	yes	—
976	C₂²×C₄	C₂⁵	1	2	yes	—
977	C₂²×C₄	C₂⁵	1	4	yes	—
978	C₂²×C₄	C₂⁵	1	2	yes	—
979	C₂²×C₄	C₂⁵	1	4	yes	—
980	C₂²×C₄	C₂⁵	1	4	yes	—
981	C₂²×C₄	C₂⁵	1	2	yes	—
982	C₂²×C₄	C₂⁵	1	1	yes	characteristic
983	C₂²×C₄	C₂⁵	1	1	yes	characteristic
984	C₂²×C₄	C₂⁵	1	1	yes	characteristic
985	C₂²×C₄	C₂⁵	1	1	yes	characteristic
986	C₂²×C₄	C₂⁵	1	1	yes	characteristic
987	C₂²×C₄	C₂⁵	1	4	yes	—
988	C₂²×C₄	C₂⁵	1	2	yes	—
989	C₂²×C₄	C₂⁵	1	1	yes	characteristic
990	C₄⋊C₄	—	2	4	no	—
991	C₄⋊C₄	—	2	4	no	—
992	C₄⋊C₄	—	2	8	no	—
993	C₄⋊C₄	—	2	4	no	—
994	C₄⋊C₄	—	2	4	no	—
995	C₄⋊C₄	—	2	4	no	—
996	C₄⋊C₄	—	2	4	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	8	no	—
999	C₄⋊C₄	—	2	8	no	—
1000	C₄⋊C₄	—	2	4	no	—
1001	C₄⋊C₄	—	2	8	no	—
1002	C₄⋊C₄	—	2	8	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	8	no	—
1005	C₄⋊C₄	—	2	4	no	—
1006	C₄⋊C₄	—	2	8	no	—
1007	C₄⋊C₄	—	2	8	no	—
1008	C₄⋊C₄	—	2	16	no	—
1009	C₄⋊C₄	—	4	4	no	—
1010	C₄⋊C₄	—	4	8	no	—
1011	C₄⋊C₄	—	4	8	no	—
1012	C₄⋊C₄	—	4	2	no	—
1013	C₄⋊C₄	—	4	2	no	—
1014	C₄⋊C₄	—	4	4	no	—
1015	C₄⋊C₄	—	4	4	no	—
1016	C₄⋊C₄	—	4	8	no	—
1017	C₄⋊C₄	—	4	8	no	—
1018	C₄⋊C₄	—	4	8	no	—
1019	C₄⋊C₄	—	4	4	no	—
1020	C₂²⋊C₄	—	2	16	no	—
1021	C₂²⋊C₄	—	2	16	no	—
1022	C₂²⋊C₄	—	2	4	no	—
1023	C₂²⋊C₄	—	2	8	no	—
1024	C₂²⋊C₄	—	2	8	no	—
1025	C₂²⋊C₄	—	2	8	no	—
1026	C₂²⋊C₄	—	2	8	no	—
1027	C₂²⋊C₄	—	2	8	no	—
1028	C₂²⋊C₄	—	2	8	no	—
1029	C₂²⋊C₄	—	2	16	no	—
1030	C₂²⋊C₄	—	2	4	no	—
1031	C₂²⋊C₄	—	2	8	no	—
1032	C₂²⋊C₄	—	2	8	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	8	no	—
1035	C₂²⋊C₄	—	2	16	no	—
1036	C₂²⋊C₄	—	2	16	no	—
1037	C₂²⋊C₄	—	2	16	no	—
1038	C₂²⋊C₄	—	2	8	no	—
1039	C₂²⋊C₄	—	2	8	no	—
1040	C₂²⋊C₄	—	2	8	no	—
1041	C₂²⋊C₄	—	2	8	no	—
1042	C₂²⋊C₄	—	2	4	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	4	no	—
1046	C₂²⋊C₄	—	2	8	no	—
1047	C₂²⋊C₄	—	2	8	no	—
1048	C₂²⋊C₄	—	4	8	no	—
1049	C₂²⋊C₄	—	4	8	no	—
1050	C₂²⋊C₄	—	4	8	no	—
1051	C₂²⋊C₄	—	4	8	no	—
1052	C₂²⋊C₄	—	4	8	no	—
1053	C₂²⋊C₄	—	4	8	no	—
1054	C₂²⋊C₄	—	4	8	no	—
1055	C₂²⋊C₄	—	4	8	no	—
1056	C₂²⋊C₄	—	4	8	no	—
1057	C₂²⋊C₄	—	4	8	no	—
1058	C₂²⋊C₄	—	4	8	no	—
1059	C₂²⋊C₄	—	4	4	no	—
1060	C₂²⋊C₄	—	4	4	no	—
1061	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1062	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1063	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1064	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1065	C₄²	—	2	4	no	—
1066	C₄²	—	2	4	no	—
1067	C₄²	—	2	4	no	—
1068	C₄²	—	2	4	no	—
1069	C₄²	—	2	4	no	—
1070	C₄²	—	2	4	no	—
1071	C₄²	—	2	8	no	—
1072	C₄²	—	2	4	no	—
1073	C₄²	—	2	8	no	—
1074	C₄²	—	2	8	no	—
1075	C₄²	—	4	4	no	—
1076	C₄²	—	4	8	no	—
1077	C₄²	C₂²×D₄	1	4	yes	—
1078	C₄²	C₂²×D₄	1	4	yes	—
1079	C₄²	C₂²×D₄	1	4	yes	—
1080	C₄²	C₂²×D₄	1	4	yes	—
1081	C₂³	—	2	8	no	—
1082	C₂³	—	2	8	no	—
1083	C₂³	—	2	16	no	—
1084	C₂³	—	2	2	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	2	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	8	no	—
1091	C₂³	—	2	16	no	—
1092	C₂³	—	2	8	no	—
1093	C₂³	—	2	4	no	—
1094	C₂³	—	2	4	no	—
1095	C₂³	—	2	8	no	—
1096	C₂³	—	2	16	no	—
1097	C₂³	—	2	4	no	—
1098	C₂³	—	2	2	no	—
1099	C₂³	—	2	4	no	—
1100	C₂³	—	2	8	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	4	no	—
1103	C₂³	—	2	8	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	4	no	—
1106	C₂³	—	2	4	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	8	no	—
1109	C₂³	—	4	32	no	—
1110	C₂³	—	4	32	no	—
1111	C₂³	—	4	32	no	—
1112	C₂³	—	4	8	no	—
1113	C₂³	—	4	8	no	—
1114	C₂³	—	4	8	no	—
1115	C₂³	—	4	32	no	—
1116	C₂³	—	8	8	no	—
1117	C₂³	—	8	16	no	—
1118	C₂³	—	8	8	no	—
1119	C₂³	—	8	16	no	—
1120	C₂³	—	8	8	no	—
1121	C₂³	—	8	16	no	—
1122	C₂³	—	8	8	no	—
1123	C₂³	—	8	128	no	—
1124	C₂³	C₂³×D₄	1	8	yes	—
1125	C₂³	C₂³×D₄	1	2	yes	—
1126	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1127	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1128	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1129	C₂³	#585	1	2	yes	—
1130	C₂³	#585	1	4	yes	—
1131	C₂³	C₂⁶	1	1	yes	characteristic
1132	Q₈	—	2	16	no	—
1133	Q₈	—	4	8	no	—
1134	Q₈	—	4	32	no	—
1135	Q₈	—	4	8	no	—
1136	Q₈	—	4	8	no	—
1137	Q₈	—	4	8	no	—
1138	Q₈	—	8	2	no	—
1139	Q₈	—	8	4	no	—
1140	Q₈	—	8	8	no	—
1141	D₄	—	2	16	no	—
1142	D₄	—	4	8	no	—
1143	D₄	—	4	32	no	—
1144	D₄	—	4	8	no	—
1145	D₄	—	4	8	no	—
1146	D₄	—	4	16	no	—
1147	D₄	—	4	8	no	—
1148	D₄	—	8	2	no	—
1149	D₄	—	8	8	no	—
1150	D₄	—	8	8	no	—
1151	D₄	—	16	8	no	—
1152	C₂×C₄	—	2	16	no	—
1153	C₂×C₄	—	2	8	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	8	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	8	no	—
1165	C₂×C₄	—	2	8	no	—
1166	C₂×C₄	—	2	16	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	4	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	4	no	—
1176	C₂×C₄	—	2	4	no	—
1177	C₂×C₄	—	2	8	no	—
1178	C₂×C₄	—	2	4	no	—
1179	C₂×C₄	—	2	8	no	—
1180	C₂×C₄	—	2	8	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	8	no	—
1185	C₂×C₄	—	2	4	no	—
1186	C₂×C₄	—	2	4	no	—
1187	C₂×C₄	—	2	8	no	—
1188	C₂×C₄	—	2	4	no	—
1189	C₂×C₄	—	2	8	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	4	4	no	—
1196	C₂×C₄	—	4	8	no	—
1197	C₂×C₄	—	4	8	no	—
1198	C₂×C₄	—	4	8	no	—
1199	C₂×C₄	—	4	8	no	—
1200	C₂×C₄	—	4	8	no	—
1201	C₂×C₄	—	4	32	no	—
1202	C₂×C₄	—	4	4	no	—
1203	C₂×C₄	—	4	8	no	—
1204	C₂×C₄	—	4	4	no	—
1205	C₂×C₄	—	4	8	no	—
1206	C₂×C₄	—	8	8	no	—
1207	C₂×C₄	—	8	8	no	—
1208	C₂×C₄	—	8	8	no	—
1209	C₂×C₄	—	16	8	no	—
1210	C₂×C₄	C₂³×D₄	1	2	yes	—
1211	C₂×C₄	C₂³×D₄	1	2	yes	—
1212	C₂×C₄	C₂³×D₄	1	2	yes	—
1213	C₂×C₄	C₂³×D₄	1	2	yes	—
1214	C₂×C₄	C₂³×D₄	1	2	yes	—
1215	C₂×C₄	C₂³×D₄	1	8	yes	—
1216	C₂×C₄	C₂³×D₄	1	2	yes	—
1217	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1218	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1219	C₂²	—	2	32	no	—
1220	C₂²	—	2	4	no	—
1221	C₂²	—	2	4	no	—
1222	C₂²	—	2	2	no	—
1223	C₂²	—	2	4	no	—
1224	C₂²	—	2	4	no	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	4	no	—
1227	C₂²	—	2	4	no	—
1228	C₂²	—	2	4	no	—
1229	C₂²	—	2	4	no	—
1230	C₂²	—	2	8	no	—
1231	C₂²	—	2	8	no	—
1232	C₂²	—	2	8	no	—
1233	C₂²	—	4	8	no	—
1234	C₂²	—	4	8	no	—
1235	C₂²	—	4	4	no	—
1236	C₂²	—	4	8	no	—
1237	C₂²	—	4	2	no	—
1238	C₂²	—	4	4	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	—	4	4	no	—
1241	C₂²	—	4	2	no	—
1242	C₂²	—	4	4	no	—
1243	C₂²	—	4	4	no	—
1244	C₂²	—	4	8	no	—
1245	C₂²	—	8	16	no	—
1246	C₂²	—	8	64	no	—
1247	C₂²	—	8	16	no	—
1248	C₂²	#3489	1	4	yes	—
1249	C₂²	#3561	1	8	yes	complemented
1250	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1251	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1252	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1253	C₂²	C₂×#585	1	2	yes	—
1254	C₂²	C₂×#585	1	1	yes	characteristic
1255	C₄	—	2	2	no	—
1256	C₄	—	2	4	no	—
1257	C₄	—	2	8	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	2	2	no	—
1261	C₄	—	2	2	no	—
1262	C₄	—	4	4	no	—
1263	C₄	—	4	4	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	4	no	—
1266	C₄	—	4	2	no	—
1267	C₄	—	4	2	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	4	2	no	—
1270	C₄	—	4	4	no	—
1271	C₄	—	4	4	no	—
1272	C₄	—	4	8	no	—
1273	C₄	#3484	1	4	yes	—
1274	C₂	—	2	4	no	—
1275	C₂	—	2	8	no	—
1276	C₂	—	4	8	no	—
1277	C₂	—	8	2	no	—
1278	C₂	—	8	4	no	—
1279	C₂	C₂×#3561	1	2	yes	—
1280	C₂	C₂×#3484	1	1	yes	characteristic
1281	C₂	C₂×#3489	1	1	yes	characteristic
1282	C₂	#62811	1	1	yes	characteristic
1283	C₂	#62824	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3561	C₂	semidirect
2. C₂³×#124	C₂	semidirect
3. #59148	C₂	semidirect
4. #59130	C₂	semidirect
5. #46136	C₂	semidirect
6. #45976	C₂	semidirect
7. #39123	C₂	semidirect
8. #38918	C₂	semidirect
9. #38044	C₂	semidirect
10. #37718	C₂	semidirect
11. #37696	C₂	semidirect
12. #37676	C₂	semidirect
13. #37546	C₂	semidirect
14. #37537	C₂	semidirect
15. #36966	C₂	semidirect
16. #36957	C₂	semidirect
17. #36625	C₂	semidirect
18. #36621	C₂	semidirect
19. Q₈×#120	C₂	semidirect
20. #36158	C₂	semidirect
21. #36152	C₂	semidirect
22. #34988	C₂	semidirect
23. #34982	C₂	semidirect
24. #34377	C₂	semidirect
28. C₂×#563	C₂²	semidirect
29. C₂×#562	C₂²	semidirect
30. C₂×#556	C₂²	semidirect
31. C₂×#551	C₂²	semidirect
32. C₂×D₄×Q₈	C₂²	semidirect
33. C₂×D₄×Q₈	C₂²	semidirect
34. C₂×#548	C₂²	semidirect
37. C₂×#543	C₂²	semidirect
38. C₂×#542	C₂²	semidirect
39. C₂×#542	C₂²	semidirect
40. C₂×#538	C₂²	semidirect
41. C₂×#536	C₂²	semidirect
42. C₂×#533	C₂²	semidirect
43. C₂×#529	C₂²	semidirect
58. #2857	C₂²	semidirect
59. #2857	C₂²	semidirect
60. #2855	C₂²	semidirect
61. #2855	C₂²	semidirect
62. #2855	C₂²	semidirect
63. #2854	C₂²	semidirect
64. #2853	C₂²	semidirect
65. #2852	C₂²	semidirect
66. #2851	C₂²	semidirect
67. #2851	C₂²	semidirect
68. #2850	C₂²	semidirect
76. #2820	C₂²	semidirect
77. #2820	C₂²	semidirect
78. #2819	C₂²	semidirect
79. #2731	C₂²	semidirect
80. #2730	C₂²	semidirect
81. #2717	C₂²	semidirect
82. #2715	C₂²	semidirect
83. #2715	C₂²	semidirect
84. #2712	C₂²	semidirect
85. #2710	C₂²	semidirect
86. #2700	C₂²	semidirect
87. #2700	C₂²	semidirect
88. #2686	C₂²	semidirect
89. #2676	C₂²	semidirect
90. #2674	C₂²	semidirect
91. #2674	C₂²	semidirect
92. #2674	C₂²	semidirect
93. #2672	C₂²	semidirect
94. #2672	C₂²	semidirect
95. #2662	C₂²	semidirect
96. #2658	C₂²	semidirect
97. #2640	C₂²	semidirect
98. #2632	C₂²	semidirect
99. #2626	C₂²	semidirect
100. #2626	C₂²	semidirect
101. #2626	C₂²	semidirect
102. #2626	C₂²	semidirect
103. #2622	C₂²	semidirect
104. #2620	C₂²	semidirect
105. #2617	C₂²	semidirect
106. #2592	C₂²	semidirect
107. #2561	C₂²	semidirect
108. #2547	C₂²	semidirect
109. #2545	C₂²	semidirect
110. #2545	C₂²	semidirect
111. #2540	C₂²	semidirect
112. #2534	C₂²	semidirect
113. #2521	C₂²	semidirect
114. #2491	C₂²	semidirect
115. #2483	C₂²	semidirect
116. #2482	C₂²	semidirect
117. #2480	C₂²	semidirect
118. #2480	C₂²	semidirect
119. #2480	C₂²	semidirect
120. #2474	C₂²	semidirect
121. #2472	C₂²	semidirect
122. #2472	C₂²	semidirect
123. #2461	C₂²	semidirect
124. #2448	C₂²	semidirect
125. #2447	C₂²	semidirect
126. #2437	C₂²	semidirect
127. #2437	C₂²	semidirect
128. #2437	C₂²	semidirect
129. #2437	C₂²	semidirect
130. #2437	C₂²	semidirect
131. #2436	C₂²	semidirect
134. #2434	C₂²	semidirect
135. #2434	C₂²	semidirect
136. #2434	C₂²	semidirect
137. #2434	C₂²	semidirect
138. #2432	C₂²	semidirect
139. #2427	C₂²	semidirect
140. #2426	C₂²	semidirect
141. #2424	C₂²	semidirect
142. #2418	C₂²	semidirect
143. #2418	C₂²	semidirect
144. #2412	C₂²	semidirect
145. #2412	C₂²	semidirect
146. #2411	C₂²	semidirect
149. #2409	C₂²	semidirect
150. #2409	C₂²	semidirect
151. #2409	C₂²	semidirect
152. #2409	C₂²	semidirect
157. #2379	C₂²	semidirect
158. #2367	C₂²	semidirect
159. #2358	C₂²	semidirect
160. #2342	C₂²	semidirect
161. #2342	C₂²	semidirect
162. Q₈×C₂²⋊C₄	C₂²	semidirect
163. Q₈×C₂²⋊C₄	C₂²	semidirect
166. #2337	C₂²	semidirect
167. #2326	C₂²	semidirect
168. #2321	C₂²	semidirect
169. #2315	C₂²	semidirect
170. #2315	C₂²	semidirect
171. #2312	C₂²	semidirect
172. C₄×C₂²⋊Q₈	C₂²	semidirect
173. C₄×C₂²⋊Q₈	C₂²	semidirect
174. C₄×C₂²⋊Q₈	C₂²	semidirect
175. C₄×#123	C₂²	semidirect
176. C₄×#121	C₂²	semidirect
179. #2296	C₂²	semidirect
180. #2290	C₂²	semidirect
181. #2285	C₂²	semidirect
182. #2283	C₂²	semidirect
194. C₂³×Q₈	C₂³	semidirect
221. C₂×C₄⋊Q₈	C₂³	semidirect
222. C₂×C₄⋊Q₈	C₂³	semidirect
223. C₂×C₄⋊Q₈	C₂³	semidirect
224. C₂×C₄⋊Q₈	C₂³	semidirect
225. C₂×C₄⋊Q₈	C₂³	semidirect
226. C₂×C₄⋊Q₈	C₂³	semidirect
228. C₂×#126	C₂³	semidirect
229. C₂×#126	C₂³	semidirect
230. C₂×#126	C₂³	semidirect
231. C₂×#126	C₂³	semidirect
232. C₂×#125	C₂³	semidirect
233. C₂×#125	C₂³	semidirect
243. C₂×#124	D₄	semidirect
262. C₂×#124	C₂³	semidirect
263. C₂×#124	C₂³	semidirect
264. C₂×#124	C₂³	semidirect
269. C₂×#123	C₂³	semidirect
270. C₂×#123	C₂³	semidirect
271. C₂×#123	C₂³	semidirect
280. C₂×C₂²⋊Q₈	C₂³	semidirect
281. C₂×C₂²⋊Q₈	C₂³	semidirect
282. C₂×C₂²⋊Q₈	C₂³	semidirect
283. C₂×C₂²⋊Q₈	C₂³	semidirect
284. C₂×C₂²⋊Q₈	C₂³	semidirect
285. C₂×C₂²⋊Q₈	C₂³	semidirect
286. C₂×C₂²⋊Q₈	C₂³	semidirect
287. C₂×C₂²⋊Q₈	C₂³	semidirect
288. C₂×C₂²⋊Q₈	C₂³	semidirect
295. C₂×#121	C₂³	semidirect
301. C₂×C₄×Q₈	C₂³	semidirect
302. C₂×C₄×Q₈	C₂³	semidirect
303. C₂×C₄×Q₈	C₂³	semidirect
304. C₂×C₄×Q₈	C₂³	semidirect
305. C₂×C₄×Q₈	C₂³	semidirect
312. C₂×C₄×D₄	C₂³	semidirect
313. C₂×C₄×D₄	C₂³	semidirect
316. C₂×#117	C₂³	semidirect
317. C₂×#117	C₂³	semidirect
345. #399	C₂³	semidirect
346. #399	C₂³	semidirect
347. #399	C₂³	semidirect
348. #399	C₂³	semidirect
349. #399	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #396	C₂³	semidirect
359. #396	C₂³	semidirect
360. #396	C₂³	semidirect
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
363. #396	C₂³	semidirect
364. #396	C₂³	semidirect
365. #395	C₂³	semidirect
366. #395	C₂³	semidirect
367. #395	C₂³	semidirect
368. #395	C₂³	semidirect
369. #395	C₂³	semidirect
375. #394	C₂³	semidirect
376. #394	C₂³	semidirect
377. #394	C₂³	semidirect
378. #394	C₂³	semidirect
379. #394	C₂³	semidirect
380. #394	C₂³	semidirect
381. #393	C₂³	semidirect
382. #393	C₂³	semidirect
383. #393	C₂³	semidirect
384. #393	C₂³	semidirect
385. #393	C₂³	semidirect
386. #393	C₂³	semidirect
387. #393	C₂³	semidirect
390. #392	C₂³	semidirect
391. #391	C₂³	semidirect
392. #391	C₂³	semidirect
393. #391	C₂³	semidirect
394. #391	C₂³	semidirect
395. #391	C₂³	semidirect
396. #391	C₂³	semidirect
397. #391	C₂³	semidirect
398. #391	C₂³	semidirect
399. #391	C₂³	semidirect
403. #390	C₂³	semidirect
404. #390	C₂³	semidirect
405. #390	C₂³	semidirect
406. #389	C₂³	semidirect
407. #389	C₂³	semidirect
408. #389	C₂³	semidirect
409. #389	C₂³	semidirect
410. #389	C₂³	semidirect
411. #389	C₂³	semidirect
412. #388	C₂³	semidirect
413. #388	C₂³	semidirect
414. #388	C₂³	semidirect
415. #388	C₂³	semidirect
416. #388	C₂³	semidirect
417. #388	C₂³	semidirect
418. #388	C₂³	semidirect
419. #388	C₂³	semidirect
420. #388	C₂³	semidirect
421. #388	C₂³	semidirect
422. #388	C₂³	semidirect
423. #388	C₂³	semidirect
424. #388	C₂³	semidirect
425. #388	C₂³	semidirect
426. #388	C₂³	semidirect
427. #388	C₂³	semidirect
428. #387	C₂³	semidirect
429. #387	C₂³	semidirect
430. #387	C₂³	semidirect
431. #387	C₂³	semidirect
432. #387	C₂³	semidirect
433. #387	C₂³	semidirect
445. #386	C₂³	semidirect
446. #386	C₂³	semidirect
447. #386	C₂³	semidirect
464. #385	C₂³	semidirect
465. #385	C₂³	semidirect
466. #385	C₂³	semidirect
467. #385	C₂³	semidirect
468. #385	C₂³	semidirect
469. #385	C₂³	semidirect
470. #384	C₂³	semidirect
471. #383	C₂³	semidirect
472. #382	C₂³	semidirect
473. #382	C₂³	semidirect
477. #381	C₂³	semidirect
490. #380	C₂³	semidirect
491. #380	C₂³	semidirect
492. #380	C₂³	semidirect
503. C₄×C₄⋊C₄	C₂³	semidirect
504. C₄×C₄⋊C₄	C₂³	semidirect
505. C₄×C₄⋊C₄	C₂³	semidirect
506. C₄×C₄⋊C₄	C₂³	semidirect
507. C₄×C₄⋊C₄	C₂³	semidirect
513. C₄×C₂²⋊C₄	C₂³	semidirect
514. C₄×C₂²⋊C₄	C₂³	semidirect
515. #376	C₂³	semidirect
1249. C₂²	#3561	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3561	2
C₂³×#124	2
#59148	2
#59130	2
#46136	2
#45976	2
#39123	2
#38918	2
#38044	2
#37718	2
#37696	2
#37676	2
#37546	2
#37537	2
#36966	2
#36957	2
#36625	2
#36621	2
Q₈×#120	2
#36158	2
#36152	2
#34988	2
#34982	2
#34377	2