Subgroups — #72318961

Order 1024.

At least 6577 conjugacy classes of subgroups; only the 4087 normal subgroups are shown.

The subgroup lattice has 1246 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10586069	C₂	1	1	yes	maximal, characteristic, complemented
2	#7675442	C₂	1	2	yes	maximal, complemented
3	#7675441	C₂	1	1	yes	maximal, characteristic, complemented
4	#6629262	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#33020	C₂	1	1	yes	maximal, characteristic, complemented
6	#6629123	C₂	1	1	yes	maximal, characteristic, complemented
7	#6596201	C₂	1	4	yes	maximal, complemented
8	#6596199	C₂	1	4	yes	maximal, complemented
9	#6596195	C₂	1	4	yes	maximal, complemented
10	#6596192	C₂	1	4	yes	maximal, complemented
11	#6596190	C₂	1	4	yes	maximal, complemented
12	#6596190	C₂	1	4	yes	maximal, complemented
13	#6596186	C₂	1	4	yes	maximal, complemented
14	#6596184	C₂	1	4	yes	maximal, complemented
15	#6453043	C₂	1	2	yes	maximal, complemented
16	#6453039	C₂	1	2	yes	maximal, complemented
17	#6452270	C₂	1	2	yes	maximal, complemented
18	C₂×#25563	C₂	1	2	yes	maximal, complemented
19	#6450032	C₂	1	2	yes	maximal, complemented
20	#6448647	C₂	1	2	yes	maximal, complemented
21	#6445809	C₂	1	1	yes	maximal, characteristic, complemented
22	#6445521	C₂	1	1	yes	maximal, characteristic, complemented
23	#6440464	C₂	1	1	yes	maximal, characteristic, complemented
24	#6440460	C₂	1	1	yes	maximal, characteristic, complemented
25	#6437999	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#24404	C₂	1	1	yes	maximal, characteristic, complemented
27	#6379246	C₂	1	2	yes	maximal, complemented
28	#6379010	C₂	1	1	yes	maximal, characteristic, complemented
29	#6372736	C₂	1	1	yes	maximal, characteristic, complemented
30	#6371337	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#20889	C₂	1	1	yes	maximal, characteristic, complemented
32	#62990	C₂²	1	4	yes	complemented
33	#62990	C₂²	1	4	yes	complemented
34	#62983	C₂²	1	4	yes	complemented
35	#62983	C₂²	1	4	yes	complemented
36	#62844	C₂²	1	2	yes	—
37	#62844	C₂²	1	2	yes	—
38	#62843	C₂²	1	1	yes	characteristic
39	#62842	C₂²	1	1	yes	characteristic
40	C₂×#3490	C₂²	1	2	yes	—
41	C₂×#3490	C₂²	1	2	yes	—
42	C₂×#3484	C₂²	1	1	yes	characteristic
43	C₂×#3484	C₂²	1	1	yes	characteristic
44	C₂²×#546	C₂²	1	1	yes	characteristic, complemented
45	#62652	C₂²	1	1	yes	characteristic
46	#62652	C₂²	1	1	yes	characteristic
47	C₂²×#518	C₂²	1	1	yes	characteristic
48	C₂²×B(4,𝔽₂)	C₂²	1	1	yes	characteristic
49	C₂×#2883	C₂²	1	1	yes	characteristic
50	C₂³×#99	C₂²	1	1	yes	characteristic
51	#38916	C₂²	1	4	yes	complemented
52	#38912	C₂²	1	4	yes	complemented
53	#38904	C₂²	1	2	yes	complemented
54	#38900	C₂²	1	2	yes	complemented
55	#38044	C₂²	1	4	yes	complemented
56	#38039	C₂²	1	4	yes	complemented
57	#38036	C₂²	1	4	yes	complemented
58	#38036	C₂²	1	4	yes	complemented
59	#38028	C₂²	1	2	yes	complemented
60	#38023	C₂²	1	2	yes	complemented
61	#38020	C₂²	1	2	yes	complemented
62	#38020	C₂²	1	2	yes	complemented
63	#36317	C₂²	1	4	yes	complemented
64	#36316	C₂²	1	2	yes	complemented
65	#36213	C₂²	1	4	yes	complemented
66	#36212	C₂²	1	2	yes	complemented
67	#35391	C₂²	1	2	yes	complemented
68	#35377	C₂²	1	1	yes	characteristic, complemented
69	#35350	C₂²	1	2	yes	complemented
70	#35349	C₂²	1	1	yes	characteristic
71	#35349	C₂²	1	2	yes	complemented
72	#35348	C₂²	1	1	yes	characteristic, complemented
73	#35348	C₂²	1	2	yes	complemented
74	#35346	C₂²	1	1	yes	characteristic
75	#34992	C₂²	1	2	yes	complemented
76	#34992	C₂²	1	1	yes	characteristic, complemented
77	#34983	C₂²	1	2	yes	complemented
78	#34983	C₂²	1	1	yes	characteristic, complemented
79	#34982	C₂²	1	2	yes	complemented
80	#34981	C₂²	1	1	yes	characteristic, complemented
81	C₂×#2405	C₂²	1	2	yes	complemented
82	C₂×#2410	C₂²	1	2	yes	complemented
83	C₂×#2410	C₂²	1	1	yes	characteristic, complemented
84	C₂×#2403	C₂²	1	1	yes	characteristic
85	#34256	C₂²	1	1	yes	characteristic
86	#34248	C₂²	1	2	yes	complemented
87	#34198	C₂²	1	1	yes	characteristic
88	#34198	C₂²	1	2	yes	complemented
89	#34198	C₂²	1	1	yes	characteristic, complemented
90	#34198	C₂²	1	2	yes	complemented
91	C₂×#2315	C₂²	1	2	yes	complemented
92	C₂×#2308	C₂²	1	1	yes	characteristic
93	#33021	C₂²	1	4	yes	complemented
94	#33021	C₂²	1	4	yes	complemented
95	#33020	C₂²	1	4	yes	complemented
96	#33020	C₂²	1	4	yes	complemented
97	#33020	C₂²	1	4	yes	complemented
98	#33020	C₂²	1	4	yes	complemented
99	#33020	C₂²	1	4	yes	complemented
100	#33020	C₂²	1	4	yes	complemented
101	#32977	C₂²	1	4	yes	complemented
102	#32977	C₂²	1	4	yes	complemented
103	#32976	C₂²	1	4	yes	complemented
104	#32975	C₂²	1	4	yes	complemented
105	#25854	C₂²	1	4	yes	complemented
106	#25854	C₂²	1	4	yes	complemented
107	#25853	C₂²	1	4	yes	complemented
108	#25852	C₂²	1	4	yes	complemented
109	#25665	C₂²	1	8	yes	complemented
110	#25665	C₂²	1	8	yes	complemented
111	#25664	C₂²	1	8	yes	complemented
112	#25663	C₂²	1	8	yes	complemented
113	#25564	C₂²	1	8	yes	complemented
114	#25564	C₂²	1	8	yes	complemented
115	#25563	C₂²	1	8	yes	complemented
116	#25563	C₂²	1	8	yes	complemented
117	#25563	C₂²	1	8	yes	complemented
118	#25563	C₂²	1	8	yes	complemented
119	#25563	C₂²	1	8	yes	complemented
120	#25563	C₂²	1	8	yes	complemented
121	#24406	C₂²	1	4	yes	complemented
122	#24406	C₂²	1	4	yes	complemented
123	#24404	C₂²	1	4	yes	complemented
124	#24404	C₂²	1	4	yes	complemented
125	#24404	C₂²	1	4	yes	complemented
126	#24404	C₂²	1	4	yes	complemented
127	#24404	C₂²	1	4	yes	complemented
128	#24404	C₂²	1	4	yes	complemented
129	#24352	C₂²	1	4	yes	complemented
130	#24352	C₂²	1	4	yes	complemented
131	#24350	C₂²	1	4	yes	complemented
132	#24350	C₂²	1	4	yes	complemented
133	#24142	C₂²	1	8	yes	complemented
134	#24142	C₂²	1	8	yes	complemented
135	#24140	C₂²	1	8	yes	complemented
136	#24140	C₂²	1	8	yes	complemented
137	#24115	C₂²	1	8	yes	complemented
138	#24114	C₂²	1	8	yes	complemented
139	#24114	C₂²	1	8	yes	complemented
140	#24114	C₂²	1	8	yes	complemented
141	#24113	C₂²	1	8	yes	complemented
142	#24112	C₂²	1	8	yes	complemented
143	#24112	C₂²	1	8	yes	complemented
144	#24112	C₂²	1	8	yes	complemented
145	#24059	C₂²	1	4	yes	complemented
146	#24058	C₂²	1	4	yes	complemented
147	#24058	C₂²	1	4	yes	complemented
148	#24058	C₂²	1	4	yes	complemented
149	#24057	C₂²	1	4	yes	complemented
150	#24056	C₂²	1	4	yes	complemented
151	#24056	C₂²	1	4	yes	complemented
152	#24056	C₂²	1	4	yes	complemented
153	#23565	C₂²	1	2	yes	complemented
154	#23565	C₂²	1	2	yes	complemented
155	C₂×#2062	C₂²	1	2	yes	complemented
156	#23515	C₂²	1	2	yes	complemented
157	#23515	C₂²	1	2	yes	complemented
158	#23515	C₂²	1	2	yes	complemented
159	#23515	C₂²	1	2	yes	complemented
160	C₂×#2044	C₂²	1	2	yes	complemented
161	C₂×#2044	C₂²	1	2	yes	complemented
162	C₂×#2029	C₂²	1	2	yes	complemented
163	C₂×#2021	C₂²	1	2	yes	complemented
164	C₂×#2021	C₂²	1	2	yes	complemented
165	#22477	C₂²	1	8	yes	complemented
166	#22477	C₂²	1	8	yes	complemented
167	#22476	C₂²	1	8	yes	complemented
168	#22476	C₂²	1	8	yes	complemented
169	#22405	C₂²	1	4	yes	complemented
170	#22405	C₂²	1	4	yes	complemented
171	D₄×#99	C₂²	1	4	yes	complemented
172	D₄×#99	C₂²	1	4	yes	complemented
173	#21482	C₂²	1	4	yes	complemented
174	#21482	C₂²	1	4	yes	complemented
175	C₄×B(4,𝔽₂)	C₂²	1	4	yes	complemented
176	C₄×B(4,𝔽₂)	C₂²	1	4	yes	complemented
177	#21333	C₂²	1	2	yes	complemented
178	#21333	C₂²	1	2	yes	complemented
179	#21213	C₂²	1	2	yes	complemented
180	#20984	C₂²	1	2	yes	complemented
181	#20984	C₂²	1	2	yes	complemented
182	#20984	C₂²	1	2	yes	complemented
183	C₂×#1898	C₂²	1	2	yes	complemented
184	C₂×#1898	C₂²	1	2	yes	complemented
185	C₂×#1898	C₂²	1	2	yes	complemented
186	C₂×#1889	C₂²	1	1	yes	characteristic
187	C₂×#1889	C₂²	1	1	yes	characteristic
188	C₂×#1889	C₂²	1	1	yes	characteristic
189	C₂×#1889	C₂²	1	2	yes	complemented
190	C₂×#1889	C₂²	1	2	yes	complemented
191	C₂×#1889	C₂²	1	2	yes	complemented
192	#20890	C₂²	1	4	yes	complemented
193	#20889	C₂²	1	1	yes	characteristic
194	#20889	C₂²	1	1	yes	characteristic
195	#20889	C₂²	1	1	yes	characteristic
196	#20889	C₂²	1	1	yes	characteristic
197	#20889	C₂²	1	1	yes	characteristic
198	#20889	C₂²	1	1	yes	characteristic
199	#20889	C₂²	1	2	yes	complemented
200	#20889	C₂²	1	2	yes	complemented
201	#20889	C₂²	1	2	yes	complemented
202	#20889	C₂²	1	2	yes	complemented
203	#20889	C₂²	1	2	yes	complemented
204	#20889	C₂²	1	2	yes	complemented
205	#20889	C₂²	1	4	yes	complemented
206	#20889	C₂²	1	4	yes	complemented
207	#20889	C₂²	1	4	yes	complemented
208	#20888	C₂²	1	4	yes	complemented
209	C₂×#1867	C₂²	1	1	yes	characteristic
210	C₂×#1867	C₂²	1	1	yes	characteristic
211	C₂×#1867	C₂²	1	1	yes	characteristic
212	C₂×#1867	C₂²	1	4	yes	complemented
213	C₂×#1867	C₂²	1	4	yes	complemented
214	C₂×#1867	C₂²	1	4	yes	complemented
215	C₂×#1867	C₂²	1	2	yes	complemented
216	C₂×#1867	C₂²	1	2	yes	complemented
217	C₂×#1867	C₂²	1	2	yes	complemented
218	#20689	C₂²	1	2	yes	complemented
219	C₂×#1819	C₂²	1	2	yes	complemented
220	#20633	C₂²	1	1	yes	characteristic
221	#20633	C₂²	1	2	yes	complemented
222	#20609	C₂²	1	1	yes	characteristic
223	#20609	C₂²	1	1	yes	characteristic
224	C₂×#1790	C₂²	1	1	yes	characteristic
225	#20585	C₂²	1	1	yes	characteristic
226	C₂×#1781	C₂²	1	1	yes	characteristic
227	#20392	C₂²	1	1	yes	characteristic
228	#20392	C₂²	1	2	yes	complemented
229	#20354	C₂²	1	2	yes	complemented
230	C₂²×#342	C₂²	1	2	yes	complemented
231	C₂²×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
232	C₂²×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
233	C₂³×#41	C₂³	1	1	yes	characteristic, complemented
234	C₂⁴×D₄	C₂³	1	1	yes	characteristic
235	C₂⁴×D₄	C₂³	1	1	yes	characteristic
236	#3505	C₂³	1	8	yes	—
237	#3505	C₂³	1	8	yes	—
238	#3501	C₂³	1	4	yes	—
239	#3501	C₂³	1	4	yes	—
240	#3491	C₂³	1	8	yes	—
241	#3490	C₂³	1	8	yes	—
242	#3490	C₂³	1	8	yes	—
243	#3490	C₂³	1	8	yes	—
244	#3485	C₂³	1	4	yes	—
245	#3484	C₂³	1	4	yes	—
246	#3484	C₂³	1	4	yes	—
247	#3484	C₂³	1	4	yes	—
248	C₂×#551	D₄	1	4	yes	complemented
249	C₂×#551	D₄	1	4	yes	complemented
250	C₂×#551	C₂³	1	4	yes	—
251	C₂×#551	C₂³	1	4	yes	—
252	C₂×#546	D₄	1	4	yes	complemented
253	C₂×#546	D₄	1	4	yes	complemented
254	C₂×#546	D₄	1	2	yes	complemented
255	C₂×#546	D₄	1	2	yes	complemented
256	C₂×#546	C₂³	1	2	yes	—
257	C₂×#546	C₂³	1	2	yes	—
258	C₂×#546	C₂³	1	4	yes	—
259	C₂×#546	C₂³	1	4	yes	—
260	C₂×D₄²	D₄	1	2	yes	complemented
261	C₂×D₄²	D₄	1	2	yes	complemented
262	C₂×D₄²	C₂³	1	2	yes	—
263	C₂×D₄²	C₂³	1	2	yes	—
264	C₂×#543	C₂³	1	2	yes	—
265	C₂×#543	C₂³	1	2	yes	—
266	C₂×#538	D₄	1	4	yes	complemented
267	C₂×#538	D₄	1	4	yes	complemented
268	C₂×#535	D₄	1	2	yes	complemented
269	C₂×#534	D₄	1	2	yes	complemented
270	C₂×#534	C₂³	1	2	yes	—
271	C₂×#534	C₂³	1	2	yes	—
272	C₂×#534	C₂³	1	1	yes	characteristic
273	C₂×#534	C₂³	1	1	yes	characteristic
274	C₂×#534	C₂³	1	2	yes	—
275	C₂²×#124	C₂³	1	1	yes	characteristic, complemented
276	C₂×#525	D₄	1	2	yes	complemented
277	C₂×#525	D₄	1	4	yes	complemented
278	C₂×#525	D₄	1	4	yes	complemented
279	C₂²×#123	C₂³	1	1	yes	characteristic, complemented
280	C₂²×#123	C₂³	1	1	yes	characteristic, complemented
281	C₂²×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
282	C₂²×#121	C₂³	1	1	yes	characteristic, complemented
283	C₂²×#121	C₂³	1	1	yes	characteristic, complemented
284	C₂²×#121	C₂³	1	1	yes	characteristic, complemented
285	C₂²×#120	D₄	1	2	yes	complemented
286	C₂²×#120	C₂³	1	1	yes	characteristic
287	C₂²×#120	C₂³	1	2	yes	—
288	C₂²×#120	C₂³	1	1	yes	characteristic
289	C₂²×#120	C₂³	1	1	yes	characteristic
290	C₂²×#120	C₂³	1	2	yes	—
291	C₂²×#120	C₂³	1	1	yes	characteristic
292	C₂²×#120	C₂³	1	1	yes	characteristic
293	C₂²×#120	C₂³	1	1	yes	characteristic
294	C₄×H(5,𝔽₂)	C₂³	1	4	yes	—
295	C₄×H(5,𝔽₂)	C₂³	1	4	yes	—
296	#3428	C₂³	1	4	yes	—
297	C₂×#518	C₂³	1	4	yes	—
298	C₂×#518	C₂³	1	4	yes	—
299	C₂×#518	C₂³	1	4	yes	—
300	C₂×#518	C₂³	1	1	yes	characteristic
301	C₂×#518	C₂³	1	2	yes	—
302	C₂×#518	C₂³	1	2	yes	—
303	C₂×#518	C₂³	1	1	yes	characteristic
304	C₂×#518	C₂³	1	2	yes	—
305	C₂×#518	C₂³	1	1	yes	characteristic
306	C₂×#518	C₂³	1	1	yes	characteristic
307	C₂×#518	C₂³	1	2	yes	—
308	C₂×#518	C₂³	1	2	yes	—
309	C₂×#518	C₂³	1	1	yes	characteristic
310	C₂×#518	C₂³	1	2	yes	—
311	C₂²×C₄×D₄	C₂³	1	1	yes	characteristic
312	C₂²×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
313	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×B(4,𝔽₂)	C₂³	1	4	yes	—
319	C₂×B(4,𝔽₂)	C₂³	1	4	yes	—
320	C₂×#410	C₂³	1	4	yes	—
321	C₂²×#99	C₂³	1	4	yes	—
322	C₂²×#99	C₂³	1	4	yes	—
323	C₂²×#99	C₂³	1	4	yes	—
324	C₂²×#99	C₂³	1	1	yes	characteristic
325	C₂²×#99	C₂³	1	1	yes	characteristic
326	C₂²×#99	C₂³	1	1	yes	characteristic
327	C₂²×#99	C₂³	1	2	yes	—
328	C₂²×#99	C₂³	1	2	yes	—
329	C₂²×#99	C₂³	1	2	yes	—
330	C₂²×#99	C₂³	1	2	yes	—
331	C₂²×#99	C₂³	1	2	yes	—
332	C₂²×#99	C₂³	1	2	yes	—
333	C₂²×#99	C₂³	1	2	yes	—
334	C₂²×#99	C₂³	1	2	yes	—
335	C₂²×#99	C₂³	1	1	yes	characteristic
336	#2853	C₂³	1	2	yes	complemented
337	#2853	C₂³	1	4	yes	complemented
338	#2849	C₂³	1	4	yes	—
339	#2849	C₂³	1	4	yes	—
340	#2849	C₂³	1	2	yes	complemented
341	#2849	C₂³	1	2	yes	complemented
342	#2849	C₂³	1	2	yes	complemented
343	#2849	C₂³	1	4	yes	complemented
344	#2848	C₂³	1	4	yes	complemented
345	#2848	C₂³	1	4	yes	complemented
346	#2847	C₂³	1	2	yes	complemented
347	#2847	C₂³	1	2	yes	complemented
348	#2626	C₂³	1	4	yes	complemented
349	#2626	C₂³	1	4	yes	complemented
350	#2623	C₂³	1	4	yes	complemented
351	#2623	C₂³	1	2	yes	complemented
352	#2622	C₂³	1	4	yes	—
353	#2622	C₂³	1	4	yes	—
354	#2622	C₂³	1	4	yes	complemented
355	#2622	C₂³	1	2	yes	complemented
356	#2622	C₂³	1	2	yes	complemented
357	#2622	C₂³	1	2	yes	complemented
358	#2617	C₂³	1	2	yes	complemented
359	#2617	C₂³	1	2	yes	complemented
360	#2591	C₂³	1	2	yes	complemented
361	#2591	C₂³	1	2	yes	complemented
362	#2583	C₂³	1	4	yes	complemented
363	#2583	C₂³	1	4	yes	complemented
364	#2579	C₂³	1	2	yes	—
365	#2579	C₂³	1	2	yes	—
366	#2579	C₂³	1	4	yes	complemented
367	#2579	C₂³	1	4	yes	complemented
368	#2504	C₂³	1	2	yes	complemented
369	#2502	C₂³	1	4	yes	complemented
370	#2487	C₂³	1	2	yes	—
371	#2487	C₂³	1	4	yes	complemented
372	#2482	C₂³	1	4	yes	complemented
373	#2482	C₂³	1	4	yes	complemented
374	#2436	C₂³	1	2	yes	complemented
375	#2434	C₂³	1	4	yes	complemented
376	#2411	C₂³	1	4	yes	complemented
377	#2411	C₂³	1	4	yes	complemented
378	#2411	C₂³	1	2	yes	complemented
379	#2411	C₂³	1	2	yes	complemented
380	#2410	C₂³	1	4	yes	—
381	#2410	C₂³	1	4	yes	—
382	#2410	C₂³	1	4	yes	—
383	#2410	C₂³	1	4	yes	—
384	#2410	C₂³	1	4	yes	complemented
385	#2410	C₂³	1	4	yes	complemented
386	#2410	C₂³	1	2	yes	complemented
387	#2410	C₂³	1	2	yes	complemented
388	#2410	C₂³	1	2	yes	complemented
389	#2410	C₂³	1	2	yes	complemented
390	#2410	C₂³	1	2	yes	complemented
391	#2410	C₂³	1	2	yes	complemented
392	#2409	C₂³	1	2	yes	—
393	#2409	C₂³	1	4	yes	complemented
394	#2405	C₂³	1	4	yes	complemented
395	#2405	C₂³	1	4	yes	complemented
396	#2405	C₂³	1	4	yes	complemented
397	#2405	C₂³	1	4	yes	complemented
398	#2405	C₂³	1	4	yes	complemented
399	#2405	C₂³	1	4	yes	complemented
400	#2404	C₂³	1	2	yes	—
401	#2404	C₂³	1	2	yes	—
402	#2403	C₂³	1	2	yes	—
403	#2403	C₂³	1	2	yes	—
404	#2403	C₂³	1	2	yes	—
405	#2403	C₂³	1	2	yes	—
406	#2403	C₂³	1	2	yes	—
407	#2403	C₂³	1	2	yes	—
408	#2342	C₂³	1	4	yes	complemented
409	#2342	C₂³	1	4	yes	complemented
410	#2342	C₂³	1	2	yes	complemented
411	#2342	C₂³	1	2	yes	complemented
412	D₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
413	D₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
414	D₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
415	D₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
416	#2321	C₂³	1	2	yes	—
417	#2321	C₂³	1	2	yes	—
418	#2321	C₂³	1	4	yes	complemented
419	#2321	C₂³	1	4	yes	complemented
420	#2317	C₂³	1	4	yes	complemented
421	#2315	C₂³	1	2	yes	—
422	#2315	C₂³	1	2	yes	—
423	#2315	C₂³	1	2	yes	—
424	#2315	C₂³	1	2	yes	—
425	#2315	C₂³	1	1	yes	characteristic
426	#2315	C₂³	1	1	yes	characteristic
427	#2315	C₂³	1	2	yes	—
428	#2315	C₂³	1	2	yes	—
429	#2315	C₂³	1	1	yes	characteristic
430	#2315	C₂³	1	2	yes	—
431	#2315	C₂³	1	4	yes	complemented
432	#2315	C₂³	1	4	yes	complemented
433	#2315	C₂³	1	4	yes	complemented
434	#2311	C₂³	1	2	yes	—
435	#2308	C₂³	1	1	yes	characteristic
436	#2308	C₂³	1	1	yes	characteristic
437	#2308	C₂³	1	2	yes	—
438	#2308	C₂³	1	1	yes	characteristic
439	#2308	C₂³	1	1	yes	characteristic
440	#2308	C₂³	1	2	yes	—
441	#2308	C₂³	1	2	yes	—
442	#2308	C₂³	1	2	yes	—
443	#2308	C₂³	1	2	yes	—
444	#2308	C₂³	1	1	yes	characteristic
445	#2308	C₂³	1	1	yes	characteristic
446	#2308	C₂³	1	1	yes	characteristic
447	#2308	C₂³	1	2	yes	—
448	C₄×#120	C₂³	1	2	yes	—
449	C₄×#120	C₂³	1	2	yes	—
450	C₄×#120	C₂³	1	4	yes	complemented
451	C₄×#120	C₂³	1	4	yes	complemented
452	#2297	C₂³	1	2	yes	—
453	#2296	C₂³	1	4	yes	complemented
454	C₂×#386	C₂³	1	1	yes	characteristic
455	C₂×#386	C₂³	1	2	yes	—
456	C₂×#386	C₂³	1	1	yes	characteristic
457	C₂×#386	C₂³	1	1	yes	characteristic
458	C₂×#386	C₂³	1	2	yes	—
459	C₂×#386	C₂³	1	2	yes	—
460	C₂×#386	C₂³	1	2	yes	—
461	C₂×#385	C₂³	1	1	yes	characteristic
462	C₂×#385	C₂³	1	2	yes	—
463	C₂×#385	C₂³	1	2	yes	—
464	C₂×#385	C₂³	1	2	yes	—
465	C₂×#385	C₂³	1	4	yes	complemented
466	C₂×#385	C₂³	1	4	yes	complemented
467	C₂×#385	C₂³	1	4	yes	complemented
468	C₂×#379	C₂³	1	1	yes	characteristic
469	C₂×#379	C₂³	1	2	yes	—
470	C₂×#379	C₂³	1	2	yes	—
471	C₂×#379	C₂³	1	2	yes	—
472	C₂×#379	C₂³	1	1	yes	characteristic
473	C₂×#379	C₂³	1	2	yes	—
474	#2273	C₂³	1	1	yes	characteristic
475	#2273	C₂³	1	2	yes	—
476	#2062	C₂³	1	8	yes	complemented
477	#2062	C₂³	1	8	yes	complemented
478	#2062	C₂³	1	8	yes	complemented
479	#2062	C₂³	1	8	yes	complemented
480	#2062	C₂³	1	8	yes	complemented
481	#2062	C₂³	1	8	yes	complemented
482	#2044	C₂³	1	8	yes	—
483	#2044	C₂³	1	8	yes	—
484	#2044	C₂³	1	8	yes	—
485	#2044	C₂³	1	8	yes	—
486	#2044	C₂³	1	8	yes	—
487	#2044	C₂³	1	8	yes	—
488	#2044	C₂³	1	8	yes	complemented
489	#2044	C₂³	1	8	yes	complemented
490	#2044	C₂³	1	8	yes	complemented
491	#2044	C₂³	1	8	yes	complemented
492	#2044	C₂³	1	8	yes	complemented
493	#2044	C₂³	1	8	yes	complemented
494	#2029	C₂³	1	8	yes	complemented
495	#2029	C₂³	1	8	yes	complemented
496	#2021	C₂³	1	8	yes	—
497	#2021	C₂³	1	8	yes	—
498	#2021	C₂³	1	8	yes	complemented
499	#2021	C₂³	1	8	yes	complemented
500	#1996	C₂³	1	8	yes	complemented
501	#1996	C₂³	1	8	yes	complemented
502	#1996	C₂³	1	8	yes	complemented
503	#1996	C₂³	1	8	yes	complemented
504	#1964	C₂³	1	8	yes	complemented
505	#1964	C₂³	1	8	yes	complemented
506	#1899	C₂³	1	8	yes	complemented
507	#1899	C₂³	1	8	yes	complemented
508	#1899	C₂³	1	8	yes	complemented
509	#1898	C₂³	1	8	yes	—
510	#1898	C₂³	1	8	yes	—
511	#1898	C₂³	1	8	yes	—
512	#1898	C₂³	1	8	yes	—
513	#1898	C₂³	1	8	yes	complemented
514	#1898	C₂³	1	8	yes	complemented
515	#1898	C₂³	1	8	yes	complemented
516	#1898	C₂³	1	8	yes	complemented
517	#1898	C₂³	1	8	yes	complemented
518	#1889	C₂³	1	4	yes	—
519	#1889	C₂³	1	4	yes	—
520	#1889	C₂³	1	4	yes	—
521	#1889	C₂³	1	4	yes	—
522	#1889	C₂³	1	4	yes	—
523	#1889	C₂³	1	4	yes	—
524	#1889	C₂³	1	8	yes	complemented
525	#1889	C₂³	1	8	yes	complemented
526	#1889	C₂³	1	8	yes	complemented
527	#1889	C₂³	1	8	yes	complemented
528	#1889	C₂³	1	8	yes	complemented
529	#1889	C₂³	1	8	yes	complemented
530	#1867	C₂³	1	4	yes	—
531	#1867	C₂³	1	4	yes	—
532	#1867	C₂³	1	4	yes	—
533	#1867	C₂³	1	4	yes	—
534	#1867	C₂³	1	4	yes	—
535	#1867	C₂³	1	4	yes	—
536	#1867	C₂³	1	4	yes	—
537	#1867	C₂³	1	4	yes	—
538	#1867	C₂³	1	4	yes	—
539	#1867	C₂³	1	4	yes	—
540	#1867	C₂³	1	4	yes	—
541	#1867	C₂³	1	4	yes	—
542	#1867	C₂³	1	4	yes	—
543	#1867	C₂³	1	4	yes	—
544	#1867	C₂³	1	4	yes	—
545	#1867	C₂³	1	4	yes	—
546	#1867	C₂³	1	4	yes	—
547	#1867	C₂³	1	4	yes	—
548	#1867	C₂³	1	8	yes	complemented
549	#1867	C₂³	1	8	yes	complemented
550	#1867	C₂³	1	8	yes	complemented
551	#1867	C₂³	1	8	yes	complemented
552	#1867	C₂³	1	8	yes	complemented
553	#1867	C₂³	1	8	yes	complemented
554	#1867	C₂³	1	8	yes	complemented
555	#1867	C₂³	1	8	yes	complemented
556	#1867	C₂³	1	8	yes	complemented
557	#1867	C₂³	1	8	yes	complemented
558	#1867	C₂³	1	8	yes	complemented
559	#1867	C₂³	1	8	yes	complemented
560	#1867	C₂³	1	8	yes	complemented
561	#1867	C₂³	1	8	yes	complemented
562	#1867	C₂³	1	8	yes	complemented
563	#1867	C₂³	1	8	yes	complemented
564	#1867	C₂³	1	8	yes	complemented
565	#1867	C₂³	1	8	yes	complemented
566	#1820	C₂³	1	8	yes	complemented
567	#1819	C₂³	1	8	yes	complemented
568	#1819	C₂³	1	8	yes	complemented
569	#1819	C₂³	1	8	yes	complemented
570	#1799	C₂³	1	4	yes	—
571	#1799	C₂³	1	4	yes	—
572	#1799	C₂³	1	8	yes	complemented
573	#1799	C₂³	1	8	yes	complemented
574	#1790	C₂³	1	4	yes	—
575	#1790	C₂³	1	4	yes	—
576	#1790	C₂³	1	4	yes	—
577	#1790	C₂³	1	4	yes	—
578	#1790	C₂³	1	4	yes	—
579	#1790	C₂³	1	4	yes	—
580	#1782	C₂³	1	4	yes	—
581	#1781	C₂³	1	4	yes	—
582	#1781	C₂³	1	4	yes	—
583	#1781	C₂³	1	4	yes	—
584	C₄×#99	C₂³	1	4	yes	—
585	C₄×#99	C₂³	1	4	yes	—
586	C₄×#99	C₂³	1	8	yes	complemented
587	C₄×#99	C₂³	1	8	yes	complemented
588	#1740	C₂³	1	8	yes	complemented
589	C₂×#342	C₂³	1	2	yes	—
590	C₂×#342	C₂³	1	2	yes	—
591	C₂×#342	C₂³	1	2	yes	—
592	C₂×#342	C₂³	1	2	yes	—
593	C₂×#342	C₂³	1	2	yes	—
594	C₂×#342	C₂³	1	2	yes	—
595	C₂×#342	C₂³	1	2	yes	—
596	C₂×#342	C₂³	1	2	yes	—
597	C₂×#342	C₂³	1	2	yes	—
598	C₂×#342	C₂³	1	2	yes	—
599	C₂×#342	C₂³	1	2	yes	—
600	C₂×#342	C₂³	1	2	yes	—
601	C₂×#342	C₂³	1	2	yes	—
602	C₂×#342	C₂³	1	2	yes	—
603	C₂×#342	C₂³	1	8	yes	complemented
604	C₂×#342	C₂³	1	8	yes	complemented
605	C₂×#342	C₂³	1	8	yes	complemented
606	C₂⁶	C₂×D₄	1	1	yes	characteristic
607	C₂⁶	C₂⁴	1	1	yes	characteristic
608	C₂⁶	C₂⁴	1	1	yes	characteristic
609	C₂×H(5,𝔽₂)	C₂⁴	1	4	yes	—
610	C₂²×#41	C₂×D₄	1	2	yes	—
611	C₂²×#41	C₂×D₄	1	2	yes	—
612	C₂²×#41	C₂×D₄	1	4	yes	complemented
613	C₂²×#41	C₂×D₄	1	4	yes	complemented
614	C₂²×#41	C₂⁴	1	2	yes	—
615	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
616	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
617	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
618	C₂³×D₄	C₂×D₄	1	2	yes	—
619	C₂³×D₄	C₂×D₄	1	2	yes	—
620	C₂³×D₄	C₂×D₄	1	2	yes	—
621	C₂³×D₄	C₂×D₄	1	2	yes	—
622	C₂³×D₄	C₂×D₄	1	2	yes	—
623	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
624	C₂³×D₄	C₂×D₄	1	2	yes	—
625	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
626	C₂³×D₄	C₂×D₄	1	2	yes	complemented
627	C₂³×D₄	C₂×D₄	1	2	yes	complemented
628	C₂³×D₄	C₂⁴	1	1	yes	characteristic
629	C₂³×D₄	C₂⁴	1	1	yes	characteristic
630	C₂³×D₄	C₂⁴	1	2	yes	—
631	C₂³×D₄	C₂⁴	1	2	yes	—
632	C₂³×D₄	C₂⁴	1	2	yes	—
633	C₂³×D₄	C₂⁴	1	2	yes	—
634	C₂³×D₄	C₂⁴	1	1	yes	characteristic
635	C₂³×D₄	C₂⁴	1	1	yes	characteristic
636	C₂³×D₄	C₂⁴	1	1	yes	characteristic
637	C₂³×D₄	C₂⁴	1	1	yes	characteristic
638	C₂³×D₄	C₂⁴	1	1	yes	characteristic
639	C₂³×D₄	C₂⁴	1	1	yes	characteristic
640	C₂³×D₄	C₂⁴	1	1	yes	characteristic
641	C₂³×D₄	C₂⁴	1	1	yes	characteristic
642	C₂³×D₄	C₂⁴	1	1	yes	characteristic
643	C₂³×D₄	C₂⁴	1	1	yes	characteristic
644	C₂⁴×C₄	C₂×D₄	1	1	yes	characteristic
645	C₂⁴×C₄	C₂×D₄	1	2	yes	—
646	C₂⁴×C₄	C₂×D₄	1	2	yes	—
647	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
648	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
649	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
650	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
651	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
652	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
653	#543	C₂⁴	1	8	yes	—
654	#534	C₂⁴	1	8	yes	—
655	#534	C₂⁴	1	8	yes	—
656	C₂×#127	C₂×D₄	1	2	yes	complemented
657	C₂×#127	C₂×D₄	1	2	yes	complemented
658	C₂×#126	C₂×D₄	1	4	yes	complemented
659	C₂×#126	C₂×D₄	1	4	yes	complemented
660	C₂×#126	C₂×D₄	1	4	yes	complemented
661	C₂×#126	C₂×D₄	1	4	yes	complemented
662	C₂×#124	C₂×D₄	1	4	yes	complemented
663	C₂×#124	C₂×D₄	1	2	yes	complemented
664	C₂×#124	C₂×D₄	1	2	yes	complemented
665	C₂×#124	C₂×D₄	1	4	yes	complemented
666	C₂×#124	C₂×D₄	1	4	yes	complemented
667	C₂×#124	C₂×D₄	1	4	yes	complemented
668	C₂×#123	C₂×D₄	1	2	yes	—
669	C₂×#123	C₂×D₄	1	2	yes	—
670	C₂×#123	C₂×D₄	1	2	yes	—
671	C₂×#123	C₂×D₄	1	4	yes	—
672	C₂×#123	C₂×D₄	1	4	yes	complemented
673	C₂×#123	C₂×D₄	1	4	yes	complemented
674	C₂×#123	C₂×D₄	1	4	yes	complemented
675	C₂×#123	C₂×D₄	1	4	yes	complemented
676	C₂×#123	C₂×D₄	1	4	yes	complemented
677	C₂×#123	C₂×D₄	1	4	yes	complemented
678	C₂×#123	C₂×D₄	1	2	yes	complemented
679	C₂×#123	C₂×D₄	1	2	yes	complemented
680	C₂×#123	C₂×D₄	1	4	yes	complemented
681	C₂×#123	C₂×D₄	1	4	yes	complemented
682	C₂×#123	C₂⁴	1	2	yes	—
683	C₂×#123	C₂⁴	1	4	yes	—
684	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
685	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
686	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
687	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	—
688	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
689	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
690	C₂×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
691	C₂×C₂²⋊Q₈	C₂×D₄	1	4	yes	complemented
692	C₂×C₂²⋊Q₈	C₂⁴	1	4	yes	—
693	C₂×C₂²⋊Q₈	C₂⁴	1	4	yes	—
694	C₂×#121	C₂×D₄	1	4	yes	—
695	C₂×#121	C₂×D₄	1	4	yes	—
696	C₂×#121	C₂×D₄	1	2	yes	—
697	C₂×#121	C₂×D₄	1	2	yes	—
698	C₂×#121	C₂×D₄	1	4	yes	complemented
699	C₂×#121	C₂×D₄	1	2	yes	complemented
700	C₂×#121	C₂×D₄	1	4	yes	complemented
701	C₂×#121	C₂×D₄	1	4	yes	complemented
702	C₂×#121	C₂×D₄	1	2	yes	complemented
703	C₂×#121	C₂×D₄	1	2	yes	complemented
704	C₂×#121	C₂×D₄	1	4	yes	complemented
705	C₂×#121	C₂×D₄	1	2	yes	complemented
706	C₂×#121	C₂×D₄	1	4	yes	complemented
707	C₂×#121	C₂×D₄	1	2	yes	complemented
708	C₂×#121	C₂×D₄	1	2	yes	complemented
709	C₂×#121	C₂×D₄	1	2	yes	complemented
710	C₂×#121	C₂×D₄	1	2	yes	complemented
711	C₂×#121	C₂×D₄	1	2	yes	complemented
712	C₂×#121	C₂×D₄	1	2	yes	complemented
713	C₂×#121	C₂×D₄	1	4	yes	complemented
714	C₂×#121	C₂⁴	1	2	yes	—
715	C₂×#121	C₂⁴	1	2	yes	—
716	C₂×#120	C₂×D₄	1	2	yes	—
717	C₂×#120	C₂×D₄	1	2	yes	—
718	C₂×#120	C₂×D₄	1	2	yes	—
719	C₂×#120	C₂×D₄	1	4	yes	—
720	C₂×#120	C₂×D₄	1	2	yes	—
721	C₂×#120	C₂×D₄	1	4	yes	—
722	C₂×#120	C₂×D₄	1	4	yes	—
723	C₂×#120	C₂×D₄	1	2	yes	—
724	C₂×#120	C₂×D₄	1	2	yes	—
725	C₂×#120	C₂×D₄	1	4	yes	—
726	C₂×#120	C₂×D₄	1	2	yes	—
727	C₂×#120	C₂×D₄	1	4	yes	—
728	C₂×#120	C₂×D₄	1	2	yes	—
729	C₂×#120	C₂×D₄	1	4	yes	—
730	C₂×#120	C₂×D₄	1	2	yes	—
731	C₂×#120	C₂×D₄	1	4	yes	—
732	C₂×#120	C₂×D₄	1	2	yes	complemented
733	C₂×#120	C₂×D₄	1	2	yes	complemented
734	C₂×#120	C₂×D₄	1	2	yes	complemented
735	C₂×#120	C₂×D₄	1	2	yes	complemented
736	C₂×#120	C₂×D₄	1	2	yes	complemented
737	C₂×#120	C₂×D₄	1	2	yes	complemented
738	C₂×#120	C₂⁴	1	2	yes	—
739	C₂×#120	C₂⁴	1	2	yes	—
740	C₂×#120	C₂⁴	1	4	yes	—
741	C₂×#120	C₂⁴	1	4	yes	—
742	C₂×#120	C₂⁴	1	2	yes	—
743	C₂×#120	C₂⁴	1	2	yes	—
744	C₂×#120	C₂⁴	1	2	yes	—
745	C₂×#120	C₂⁴	1	2	yes	—
746	C₂×#120	C₂⁴	1	4	yes	—
747	C₂×#120	C₂⁴	1	2	yes	—
748	C₂×#120	C₂⁴	1	2	yes	—
749	C₂×#120	C₂⁴	1	4	yes	—
750	C₂×#120	C₂⁴	1	4	yes	—
751	C₂×#120	C₂⁴	1	2	yes	—
752	#518	C₂⁴	1	4	yes	—
753	#518	C₂⁴	1	4	yes	—
754	#518	C₂⁴	1	4	yes	—
755	#518	C₂⁴	1	8	yes	—
756	#518	C₂⁴	1	8	yes	—
757	#518	C₂⁴	1	8	yes	—
758	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
759	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
760	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
761	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
762	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
763	C₂×C₄×D₄	C₂×D₄	1	4	yes	—
764	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
765	C₂×C₄×D₄	C₂×D₄	1	2	yes	—
766	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
767	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
768	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
769	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
770	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
771	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
772	C₂×C₄×D₄	C₂×D₄	1	2	yes	complemented
773	C₂×C₄×D₄	C₂×D₄	1	4	yes	complemented
774	C₂×C₄×D₄	C₂⁴	1	2	yes	—
775	C₂×C₄×D₄	C₂⁴	1	2	yes	—
776	C₂×C₄×D₄	C₂⁴	1	4	yes	—
777	C₂×C₄×D₄	C₂⁴	1	4	yes	—
778	C₂×#117	C₂×D₄	1	2	yes	—
779	C₂×#117	C₂×D₄	1	4	yes	—
780	C₂×#117	C₂×D₄	1	4	yes	complemented
781	C₂×#117	C₂×D₄	1	4	yes	complemented
782	C₂×#117	C₂⁴	1	4	yes	—
783	C₂×#117	C₂⁴	1	2	yes	—
784	C₂×#117	C₂⁴	1	4	yes	—
785	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
786	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
787	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
788	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
789	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
790	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
791	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
792	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
793	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
794	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
795	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
796	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
797	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
798	C₂²×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
799	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
800	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
801	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
802	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
803	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
804	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
805	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
806	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
807	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
808	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
809	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
810	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
811	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
812	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
813	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
814	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
815	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
816	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
817	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
818	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
819	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
820	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
821	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
828	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
831	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
832	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
833	C₂²×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
834	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
835	C₂×#99	#41	1	8	yes	complemented
836	C₂×#99	C₂⁴	1	4	yes	—
837	C₂×#99	C₂⁴	1	4	yes	—
838	C₂×#99	C₂⁴	1	8	yes	—
839	C₂×#99	C₂⁴	1	8	yes	—
840	C₂×#99	C₂⁴	1	4	yes	—
841	C₂×#99	C₂⁴	1	8	yes	—
842	C₂×#99	C₂⁴	1	8	yes	—
843	C₂×#99	C₂⁴	1	8	yes	—
844	C₂×#99	C₂⁴	1	8	yes	—
845	C₂×#99	C₂⁴	1	8	yes	—
846	C₂×#99	C₂⁴	1	8	yes	—
847	C₂×#99	C₂⁴	1	4	yes	—
848	#386	C₂⁴	1	2	yes	—
849	#386	C₂⁴	1	2	yes	—
850	#386	C₂⁴	1	2	yes	—
851	#386	C₂⁴	1	2	yes	—
852	#386	C₂⁴	1	2	yes	—
853	#386	C₂⁴	1	2	yes	—
854	#386	C₂⁴	1	2	yes	—
855	#386	C₂⁴	1	2	yes	—
856	#386	C₂⁴	1	2	yes	—
857	#386	C₂⁴	1	2	yes	—
858	#386	C₂⁴	1	2	yes	—
859	#386	C₂⁴	1	2	yes	—
860	#386	C₂⁴	1	4	yes	—
861	#386	C₂⁴	1	4	yes	—
862	#386	C₂⁴	1	4	yes	—
863	#386	C₂⁴	1	2	yes	—
864	#386	C₂⁴	1	4	yes	—
865	#386	C₂⁴	1	2	yes	—
866	#386	C₂⁴	1	2	yes	—
867	#386	C₂⁴	1	4	yes	—
868	#386	C₂⁴	1	4	yes	—
869	#386	C₂⁴	1	2	yes	—
870	#386	C₂⁴	1	2	yes	—
871	#386	C₂⁴	1	2	yes	—
872	#385	C₂⁴	1	4	yes	—
873	#385	C₂⁴	1	4	yes	—
874	#385	C₂⁴	1	4	yes	—
875	#385	C₂⁴	1	4	yes	—
876	#385	C₂⁴	1	4	yes	—
877	#385	C₂⁴	1	4	yes	—
878	#385	C₂⁴	1	4	yes	—
879	#385	C₂⁴	1	4	yes	—
880	#385	C₂⁴	1	4	yes	—
881	#385	C₂⁴	1	4	yes	—
882	#385	C₂⁴	1	2	yes	—
883	#385	C₂⁴	1	2	yes	—
884	#385	C₂⁴	1	2	yes	—
885	#385	C₂⁴	1	2	yes	—
886	#385	C₂⁴	1	4	yes	—
887	#385	C₂⁴	1	4	yes	—
888	#385	C₂⁴	1	4	yes	—
889	#385	C₂⁴	1	4	yes	—
890	#385	C₂⁴	1	2	yes	—
891	#385	C₂⁴	1	2	yes	—
892	#385	C₂⁴	1	4	yes	—
893	#385	C₂⁴	1	4	yes	—
894	#385	C₂⁴	1	4	yes	—
895	#385	C₂⁴	1	4	yes	—
896	#381	C₂⁴	1	2	yes	—
897	#381	C₂⁴	1	4	yes	—
898	#380	C₂⁴	1	4	yes	—
899	#380	C₂⁴	1	4	yes	—
900	#380	C₂⁴	1	2	yes	—
901	#380	C₂⁴	1	2	yes	—
902	#379	C₂⁴	1	2	yes	—
903	#379	C₂⁴	1	4	yes	—
904	#379	C₂⁴	1	2	yes	—
905	#379	C₂⁴	1	4	yes	—
906	#379	C₂⁴	1	2	yes	—
907	#379	C₂⁴	1	2	yes	—
908	#379	C₂⁴	1	4	yes	—
909	#379	C₂⁴	1	4	yes	—
910	#379	C₂⁴	1	4	yes	—
911	#379	C₂⁴	1	4	yes	—
912	#379	C₂⁴	1	4	yes	—
913	#379	C₂⁴	1	4	yes	—
914	#379	C₂⁴	1	4	yes	—
915	#379	C₂⁴	1	2	yes	—
916	C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
917	C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
918	C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	#342	C₂⁴	1	8	yes	—
921	#342	C₂⁴	1	8	yes	—
922	#342	C₂⁴	1	8	yes	—
923	#342	C₂⁴	1	8	yes	—
924	#342	C₂⁴	1	8	yes	—
925	#342	C₂⁴	1	8	yes	—
926	#342	C₂⁴	1	8	yes	—
927	#342	C₂⁴	1	8	yes	—
928	#342	C₂⁴	1	8	yes	—
929	#342	C₂⁴	1	8	yes	—
930	#342	C₂⁴	1	8	yes	—
931	#342	C₂⁴	1	8	yes	—
932	#342	C₂⁴	1	8	yes	—
933	#342	C₂⁴	1	8	yes	—
934	C₂⁵	C₂²×D₄	1	1	yes	characteristic
935	C₂⁵	C₂²×D₄	1	1	yes	characteristic
936	C₂⁵	C₂²×D₄	1	2	yes	—
937	C₂⁵	C₂²×D₄	1	2	yes	—
938	C₂⁵	C₂²×D₄	1	1	yes	characteristic
939	C₂⁵	C₂²×D₄	1	2	yes	—
940	C₂⁵	C₂²×D₄	1	1	yes	characteristic
941	C₂⁵	C₂²×D₄	1	2	yes	—
942	C₂⁵	C₂²×D₄	1	2	yes	—
943	C₂⁵	C₂²×D₄	1	2	yes	—
944	C₂⁵	C₂²×D₄	1	1	yes	characteristic
945	C₂⁵	C₂²×D₄	1	2	yes	—
946	C₂⁵	C₂²×D₄	1	1	yes	characteristic
947	C₂⁵	C₂²×D₄	1	2	yes	—
948	C₂⁵	C₂²×D₄	1	1	yes	characteristic
949	C₂⁵	C₂⁵	1	1	yes	characteristic
950	C₂⁵	C₂⁵	1	1	yes	characteristic
951	C₂⁵	C₂⁵	1	1	yes	characteristic
952	C₂⁵	C₂⁵	1	1	yes	characteristic
953	C₂⁵	C₂⁵	1	1	yes	characteristic
954	C₂⁵	C₂⁵	1	1	yes	characteristic
955	C₂²×Q₈	C₂²×D₄	1	2	yes	—
956	C₂²×Q₈	C₂²×D₄	1	4	yes	—
957	C₂²×Q₈	C₂²×D₄	1	4	yes	—
958	C₂²×D₄	C₂²×D₄	1	4	yes	—
959	C₂²×D₄	C₂²×D₄	1	2	yes	—
960	C₂²×D₄	C₂²×D₄	1	2	yes	—
961	C₂²×D₄	C₂²×D₄	1	2	yes	—
962	C₂²×D₄	C₂²×D₄	1	2	yes	—
963	C₂²×D₄	C₂²×D₄	1	2	yes	—
964	C₂²×D₄	C₂²×D₄	1	2	yes	—
965	C₂²×D₄	C₂²×D₄	1	2	yes	—
966	C₂²×D₄	C₂²×D₄	1	2	yes	—
967	C₂²×D₄	C₂²×D₄	1	2	yes	—
968	C₂²×D₄	C₂²×D₄	1	4	yes	—
969	C₂²×D₄	C₂²×D₄	1	4	yes	—
970	C₂²×D₄	C₂²×D₄	1	2	yes	—
971	C₂²×D₄	C₂²×D₄	1	2	yes	—
972	C₂²×D₄	C₂²×D₄	1	2	yes	—
973	C₂²×D₄	C₂²×D₄	1	2	yes	—
974	C₂²×D₄	C₂²×D₄	1	4	yes	—
975	C₂²×D₄	C₂²×D₄	1	2	yes	—
976	C₂²×D₄	C₂²×D₄	1	4	yes	—
977	C₂²×D₄	C₂²×D₄	1	2	yes	—
978	C₂²×D₄	C₂²×D₄	1	2	yes	—
979	C₂²×D₄	C₂²×D₄	1	2	yes	—
980	C₂²×D₄	C₂²×D₄	1	2	yes	—
981	C₂²×D₄	C₂²×D₄	1	2	yes	—
982	C₂²×D₄	C₂²×D₄	1	2	yes	—
983	C₂²×D₄	C₂²×D₄	1	4	yes	—
984	C₂²×D₄	C₂²×D₄	1	4	yes	—
985	C₂²×D₄	C₂²×D₄	1	4	yes	—
986	C₂²×D₄	C₂²×D₄	1	4	yes	—
987	C₂²×D₄	C₂²×D₄	1	2	yes	—
988	C₂²×D₄	C₂²×D₄	1	4	yes	—
989	C₂²×D₄	C₂²×D₄	1	2	yes	—
990	C₂²×D₄	C₂²×D₄	1	4	yes	—
991	C₂²×D₄	C₂²×D₄	1	2	yes	—
992	C₂²×D₄	C₂²×D₄	1	4	yes	—
993	C₂²×D₄	C₂²×D₄	1	2	yes	—
994	C₂²×D₄	C₂²×D₄	1	4	yes	—
995	C₂²×D₄	C₂×#41	1	4	yes	—
996	C₂²×D₄	2₋¹⁺⁴	1	4	yes	—
997	C₂²×D₄	C₂⁵	1	4	yes	—
998	C₂²×D₄	C₂⁵	1	2	yes	—
999	C₂²×D₄	C₂⁵	1	2	yes	—
1000	C₂²×D₄	C₂⁵	1	2	yes	—
1001	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1002	C₂³×C₄	C₂²×D₄	1	2	yes	—
1003	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1004	C₂³×C₄	C₂²×D₄	1	2	yes	—
1005	C₂³×C₄	C₂²×D₄	1	2	yes	—
1006	C₂³×C₄	C₂²×D₄	1	2	yes	—
1007	C₂³×C₄	C₂²×D₄	1	2	yes	—
1008	C₂³×C₄	C₂²×D₄	1	2	yes	—
1009	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1010	C₂³×C₄	C₂²×D₄	1	4	yes	—
1011	C₂³×C₄	C₂²×D₄	1	2	yes	—
1012	C₂³×C₄	C₂²×D₄	1	2	yes	—
1013	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1014	C₂³×C₄	C₂²×D₄	1	2	yes	—
1015	C₂³×C₄	C₂²×D₄	1	2	yes	—
1016	C₂³×C₄	C₂²×D₄	1	2	yes	—
1017	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1018	C₂³×C₄	C₂²×D₄	1	2	yes	—
1019	C₂³×C₄	C₂²×D₄	1	2	yes	—
1020	C₂³×C₄	C₂²×D₄	1	2	yes	—
1021	C₂³×C₄	C₂²×D₄	1	4	yes	—
1022	C₂³×C₄	C₂²×D₄	1	4	yes	—
1023	C₂³×C₄	C₂²×D₄	1	4	yes	—
1024	C₂³×C₄	C₂²×D₄	1	4	yes	—
1025	C₂³×C₄	C₂²×D₄	1	4	yes	—
1026	C₂³×C₄	C₂²×D₄	1	4	yes	—
1027	C₂³×C₄	C₂²×D₄	1	4	yes	—
1028	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1029	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1030	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1031	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1032	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1033	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1034	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1035	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1036	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1037	#120	#120	1	4	yes	—
1038	#120	#120	1	4	yes	—
1039	#120	#120	1	4	yes	—
1040	#120	#120	1	4	yes	—
1041	#120	#120	1	8	yes	—
1042	#120	#120	1	8	yes	—
1043	#120	#120	1	8	yes	—
1044	#120	#120	1	8	yes	—
1045	#120	#120	1	8	yes	—
1046	#120	#120	1	8	yes	—
1047	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1048	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1049	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1050	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1051	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1052	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1053	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1054	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1055	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1056	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1057	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1058	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1059	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1060	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1061	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1062	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1063	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1064	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1065	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1066	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1067	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1068	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1069	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1070	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1071	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1072	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1073	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1074	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1075	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1076	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1077	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1078	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1079	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1080	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1082	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1083	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1084	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1085	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1086	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1087	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1088	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1089	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1090	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1091	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1092	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1093	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1094	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1095	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1096	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1097	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1098	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1099	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1100	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1101	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1102	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1103	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1104	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1105	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1106	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1107	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1108	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1109	C₂×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1110	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1111	C₂×C₂²⋊C₄	C₂×#41	1	8	yes	complemented
1112	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1113	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1114	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1115	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1116	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1117	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1118	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1119	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1120	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1121	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1122	C₂×C₂²⋊C₄	C₂⁵	1	2	yes	—
1123	C₂×C₂²⋊C₄	C₂⁵	1	4	yes	—
1124	C₂×C₄²	C₂²×D₄	1	4	yes	—
1125	C₂×C₄²	C₂²×D₄	1	4	yes	—
1126	C₂×C₄²	C₂²×D₄	1	2	yes	—
1127	C₂×C₄²	C₂²×D₄	1	2	yes	—
1128	C₂×C₄²	C₂²×D₄	1	4	yes	—
1129	C₂×C₄²	C₂²×D₄	1	4	yes	—
1130	#99	C₂×#41	1	16	yes	complemented
1131	C₂⁴	C₂×#120	1	1	yes	characteristic
1132	C₂⁴	C₂×#120	1	2	yes	—
1133	C₂⁴	C₂×#120	1	1	yes	characteristic
1134	C₂⁴	C₂×#120	1	1	yes	characteristic
1135	C₂⁴	C₂×#120	1	2	yes	—
1136	C₂⁴	C₂×#120	1	2	yes	—
1137	C₂⁴	C₂×#120	1	2	yes	—
1138	C₂⁴	C₂×#120	1	1	yes	characteristic
1139	C₂⁴	C₂×#120	1	2	yes	—
1140	C₂⁴	C₂×#120	1	2	yes	—
1141	C₂⁴	#547	1	4	yes	complemented
1142	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1143	C₂⁴	C₂³×D₄	1	2	yes	—
1144	C₂⁴	C₂³×D₄	1	2	yes	—
1145	C₂⁴	C₂³×D₄	1	2	yes	—
1146	C₂⁴	C₂³×D₄	1	4	yes	—
1147	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1148	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1149	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1150	C₂⁴	C₂³×D₄	1	2	yes	—
1151	C₂⁴	C₂³×D₄	1	2	yes	—
1152	C₂⁴	C₂³×D₄	1	2	yes	—
1153	C₂⁴	C₂³×D₄	1	2	yes	—
1154	C₂⁴	C₂³×D₄	1	4	yes	—
1155	C₂⁴	C₂³×D₄	1	2	yes	—
1156	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1157	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1158	C₂⁴	C₂³×D₄	1	2	yes	—
1159	C₂⁴	C₂³×D₄	1	2	yes	—
1160	C₂⁴	C₂²×#41	1	2	yes	—
1161	C₂⁴	C₂×2₋¹⁺⁴	1	2	yes	—
1162	C₂⁴	#585	1	4	yes	—
1163	C₂⁴	C₂⁶	1	1	yes	characteristic
1164	C₂×D₄	C₂×#120	1	4	yes	—
1165	C₂×D₄	C₂×#120	1	4	yes	—
1166	C₂×D₄	C₂×#120	1	8	yes	—
1167	C₂×D₄	C₂×#120	1	4	yes	—
1168	C₂×D₄	C₂×#120	1	4	yes	—
1169	C₂×D₄	C₂×#120	1	4	yes	—
1170	C₂×D₄	C₂×#120	1	8	yes	—
1171	C₂×D₄	C₂×#120	1	4	yes	—
1172	C₂×D₄	C₂×#120	1	8	yes	—
1173	C₂×D₄	#547	1	8	yes	complemented
1174	C₂×D₄	C₂²×#41	1	4	yes	—
1175	C₂×D₄	C₂×2₋¹⁺⁴	1	4	yes	—
1176	C₂²×C₄	#547	1	4	yes	complemented
1177	C₂²×C₄	C₂³×D₄	1	4	yes	—
1178	C₂²×C₄	C₂³×D₄	1	2	yes	—
1179	C₂²×C₄	C₂³×D₄	1	2	yes	—
1180	C₂²×C₄	C₂³×D₄	1	4	yes	—
1181	C₂²×C₄	C₂³×D₄	1	2	yes	—
1182	C₂²×C₄	C₂³×D₄	1	2	yes	—
1183	C₂²×C₄	C₂³×D₄	1	4	yes	—
1184	C₂²×C₄	C₂³×D₄	1	2	yes	—
1185	C₂²×C₄	C₂³×D₄	1	4	yes	—
1186	C₂²×C₄	C₂³×D₄	1	4	yes	—
1187	C₂²×C₄	C₂³×D₄	1	4	yes	—
1188	C₂²×C₄	C₂³×D₄	1	2	yes	—
1189	C₂²×C₄	C₂³×D₄	1	4	yes	—
1190	C₂²×C₄	C₂³×D₄	1	4	yes	—
1191	C₂²×C₄	C₂³×D₄	1	2	yes	—
1192	C₂²×C₄	C₂³×D₄	1	2	yes	—
1193	C₂²×C₄	C₂³×D₄	1	4	yes	—
1194	C₂²×C₄	C₂³×D₄	1	4	yes	—
1195	C₂²⋊C₄	C₂×#120	1	4	yes	—
1196	C₂²⋊C₄	C₂×#120	1	4	yes	—
1197	C₂²⋊C₄	C₂×#120	1	8	yes	—
1198	C₂²⋊C₄	C₂×#120	1	4	yes	—
1199	C₂²⋊C₄	C₂×#120	1	4	yes	—
1200	C₂²⋊C₄	C₂×#120	1	4	yes	—
1201	C₂²⋊C₄	C₂×#120	1	4	yes	—
1202	C₂²⋊C₄	C₂×#120	1	8	yes	—
1203	C₂²⋊C₄	C₂×#120	1	8	yes	—
1204	C₂²⋊C₄	C₂²×#41	1	8	yes	—
1205	C₂³	C₂²×#120	1	1	yes	characteristic
1206	C₂³	C₂²×#120	1	1	yes	characteristic
1207	C₂³	C₂²×#120	1	2	yes	—
1208	C₂³	C₂²×#120	1	4	yes	—
1209	C₂³	C₂²×#120	1	2	yes	—
1210	C₂³	C₂²×#120	1	1	yes	characteristic
1211	C₂³	C₂²×#120	1	1	yes	characteristic
1212	C₂³	C₂²×#120	1	1	yes	characteristic
1213	C₂³	C₂²×#120	1	2	yes	—
1214	C₂³	C₂²×#120	1	1	yes	characteristic
1215	C₂³	C₂×#547	1	4	yes	—
1216	C₂³	C₂×#547	1	2	yes	—
1217	C₂³	C₂×#547	1	2	yes	—
1218	C₂³	D₄×#41	1	4	yes	—
1219	C₂³	D₄×#41	1	4	yes	—
1220	C₂³	#3485	1	2	yes	—
1221	C₂³	#3485	1	2	yes	—
1222	C₂³	#3489	1	4	yes	—
1223	C₂³	#3489	1	4	yes	—
1224	C₂³	C₂⁴×D₄	1	1	yes	characteristic
1225	C₂³	C₂⁴×D₄	1	2	yes	—
1226	C₂³	C₂³×#41	1	1	yes	characteristic
1227	C₂³	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1228	C₂³	C₂×#585	1	2	yes	—
1229	C₂×C₄	C₂²×#120	1	4	yes	—
1230	C₂×C₄	C₂²×#120	1	4	yes	—
1231	C₂×C₄	C₂²×#120	1	4	yes	—
1232	C₂×C₄	C₂×#547	1	4	yes	—
1233	C₂²	#36213	1	2	yes	—
1234	C₂²	#36213	1	2	yes	—
1235	C₂²	#36213	1	4	yes	—
1236	C₂²	#60399	1	2	yes	—
1237	C₂²	C₂³×#120	1	1	yes	characteristic
1238	C₂²	C₂²×#547	1	1	yes	characteristic
1239	C₂²	C₂×D₄×#41	1	2	yes	—
1240	C₂²	C₂×#3485	1	1	yes	characteristic
1241	C₂²	C₂×#3489	1	2	yes	—
1242	C₂	C₂×#36213	1	1	yes	characteristic
1243	C₂	C₂×#60399	1	1	yes	characteristic
1244	C₂	#10574873	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×#120
commutator, Frattini, cosocle	C₂⁴	C₂⁶
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂²×#120 ◁ G
LECS	G ▷ C₂⁴ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #10586069	C₂	semidirect
2. #7675442	C₂	semidirect
3. #7675441	C₂	semidirect
4. #6629262	C₂	semidirect
5. C₂×#33020	C₂	semidirect
6. #6629123	C₂	semidirect
7. #6596201	C₂	semidirect
8. #6596199	C₂	semidirect
9. #6596195	C₂	semidirect
10. #6596192	C₂	semidirect
11. #6596190	C₂	semidirect
12. #6596190	C₂	semidirect
13. #6596186	C₂	semidirect
14. #6596184	C₂	semidirect
15. #6453043	C₂	semidirect
16. #6453039	C₂	semidirect
17. #6452270	C₂	semidirect
18. C₂×#25563	C₂	semidirect
19. #6450032	C₂	semidirect
20. #6448647	C₂	semidirect
21. #6445809	C₂	semidirect
22. #6445521	C₂	semidirect
23. #6440464	C₂	semidirect
24. #6440460	C₂	semidirect
25. #6437999	C₂	semidirect
26. C₂×#24404	C₂	semidirect
27. #6379246	C₂	semidirect
28. #6379010	C₂	semidirect
29. #6372736	C₂	semidirect
30. #6371337	C₂	semidirect
31. C₂×#20889	C₂	semidirect
32. #62990	C₂²	semidirect
33. #62990	C₂²	semidirect
34. #62983	C₂²	semidirect
35. #62983	C₂²	semidirect
44. C₂²×#546	C₂²	semidirect
51. #38916	C₂²	semidirect
52. #38912	C₂²	semidirect
53. #38904	C₂²	semidirect
54. #38900	C₂²	semidirect
55. #38044	C₂²	semidirect
56. #38039	C₂²	semidirect
57. #38036	C₂²	semidirect
58. #38036	C₂²	semidirect
59. #38028	C₂²	semidirect
60. #38023	C₂²	semidirect
61. #38020	C₂²	semidirect
62. #38020	C₂²	semidirect
63. #36317	C₂²	semidirect
64. #36316	C₂²	semidirect
65. #36213	C₂²	semidirect
66. #36212	C₂²	semidirect
67. #35391	C₂²	semidirect
68. #35377	C₂²	semidirect
69. #35350	C₂²	semidirect
71. #35349	C₂²	semidirect
72. #35348	C₂²	semidirect
73. #35348	C₂²	semidirect
75. #34992	C₂²	semidirect
76. #34992	C₂²	semidirect
77. #34983	C₂²	semidirect
78. #34983	C₂²	semidirect
79. #34982	C₂²	semidirect
80. #34981	C₂²	semidirect
81. C₂×#2405	C₂²	semidirect
82. C₂×#2410	C₂²	semidirect
83. C₂×#2410	C₂²	semidirect
86. #34248	C₂²	semidirect
88. #34198	C₂²	semidirect
89. #34198	C₂²	semidirect
90. #34198	C₂²	semidirect
91. C₂×#2315	C₂²	semidirect
93. #33021	C₂²	semidirect
94. #33021	C₂²	semidirect
95. #33020	C₂²	semidirect
96. #33020	C₂²	semidirect
97. #33020	C₂²	semidirect
98. #33020	C₂²	semidirect
99. #33020	C₂²	semidirect
100. #33020	C₂²	semidirect
101. #32977	C₂²	semidirect
102. #32977	C₂²	semidirect
103. #32976	C₂²	semidirect
104. #32975	C₂²	semidirect
105. #25854	C₂²	semidirect
106. #25854	C₂²	semidirect
107. #25853	C₂²	semidirect
108. #25852	C₂²	semidirect
109. #25665	C₂²	semidirect
110. #25665	C₂²	semidirect
111. #25664	C₂²	semidirect
112. #25663	C₂²	semidirect
113. #25564	C₂²	semidirect
114. #25564	C₂²	semidirect
115. #25563	C₂²	semidirect
116. #25563	C₂²	semidirect
117. #25563	C₂²	semidirect
118. #25563	C₂²	semidirect
119. #25563	C₂²	semidirect
120. #25563	C₂²	semidirect
121. #24406	C₂²	semidirect
122. #24406	C₂²	semidirect
123. #24404	C₂²	semidirect
124. #24404	C₂²	semidirect
125. #24404	C₂²	semidirect
126. #24404	C₂²	semidirect
127. #24404	C₂²	semidirect
128. #24404	C₂²	semidirect
129. #24352	C₂²	semidirect
130. #24352	C₂²	semidirect
131. #24350	C₂²	semidirect
132. #24350	C₂²	semidirect
133. #24142	C₂²	semidirect
134. #24142	C₂²	semidirect
135. #24140	C₂²	semidirect
136. #24140	C₂²	semidirect
137. #24115	C₂²	semidirect
138. #24114	C₂²	semidirect
139. #24114	C₂²	semidirect
140. #24114	C₂²	semidirect
141. #24113	C₂²	semidirect
142. #24112	C₂²	semidirect
143. #24112	C₂²	semidirect
144. #24112	C₂²	semidirect
145. #24059	C₂²	semidirect
146. #24058	C₂²	semidirect
147. #24058	C₂²	semidirect
148. #24058	C₂²	semidirect
149. #24057	C₂²	semidirect
150. #24056	C₂²	semidirect
151. #24056	C₂²	semidirect
152. #24056	C₂²	semidirect
153. #23565	C₂²	semidirect
154. #23565	C₂²	semidirect
155. C₂×#2062	C₂²	semidirect
156. #23515	C₂²	semidirect
157. #23515	C₂²	semidirect
158. #23515	C₂²	semidirect
159. #23515	C₂²	semidirect
160. C₂×#2044	C₂²	semidirect
161. C₂×#2044	C₂²	semidirect
162. C₂×#2029	C₂²	semidirect
163. C₂×#2021	C₂²	semidirect
164. C₂×#2021	C₂²	semidirect
165. #22477	C₂²	semidirect
166. #22477	C₂²	semidirect
167. #22476	C₂²	semidirect
168. #22476	C₂²	semidirect
169. #22405	C₂²	semidirect
170. #22405	C₂²	semidirect
171. D₄×#99	C₂²	semidirect
172. D₄×#99	C₂²	semidirect
173. #21482	C₂²	semidirect
174. #21482	C₂²	semidirect
175. C₄×B(4,𝔽₂)	C₂²	semidirect
176. C₄×B(4,𝔽₂)	C₂²	semidirect
177. #21333	C₂²	semidirect
178. #21333	C₂²	semidirect
179. #21213	C₂²	semidirect
180. #20984	C₂²	semidirect
181. #20984	C₂²	semidirect
182. #20984	C₂²	semidirect
183. C₂×#1898	C₂²	semidirect
184. C₂×#1898	C₂²	semidirect
185. C₂×#1898	C₂²	semidirect
189. C₂×#1889	C₂²	semidirect
190. C₂×#1889	C₂²	semidirect
191. C₂×#1889	C₂²	semidirect
192. #20890	C₂²	semidirect
199. #20889	C₂²	semidirect
200. #20889	C₂²	semidirect
201. #20889	C₂²	semidirect
202. #20889	C₂²	semidirect
203. #20889	C₂²	semidirect
204. #20889	C₂²	semidirect
205. #20889	C₂²	semidirect
206. #20889	C₂²	semidirect
207. #20889	C₂²	semidirect
208. #20888	C₂²	semidirect
212. C₂×#1867	C₂²	semidirect
213. C₂×#1867	C₂²	semidirect
214. C₂×#1867	C₂²	semidirect
215. C₂×#1867	C₂²	semidirect
216. C₂×#1867	C₂²	semidirect
217. C₂×#1867	C₂²	semidirect
218. #20689	C₂²	semidirect
219. C₂×#1819	C₂²	semidirect
221. #20633	C₂²	semidirect
228. #20392	C₂²	semidirect
229. #20354	C₂²	semidirect
230. C₂²×#342	C₂²	semidirect
233. C₂³×#41	C₂³	semidirect
248. C₂×#551	D₄	semidirect
249. C₂×#551	D₄	semidirect
252. C₂×#546	D₄	semidirect
253. C₂×#546	D₄	semidirect
254. C₂×#546	D₄	semidirect
255. C₂×#546	D₄	semidirect
260. C₂×D₄²	D₄	semidirect
261. C₂×D₄²	D₄	semidirect
266. C₂×#538	D₄	semidirect
267. C₂×#538	D₄	semidirect
268. C₂×#535	D₄	semidirect
269. C₂×#534	D₄	semidirect
275. C₂²×#124	C₂³	semidirect
276. C₂×#525	D₄	semidirect
277. C₂×#525	D₄	semidirect
278. C₂×#525	D₄	semidirect
279. C₂²×#123	C₂³	semidirect
280. C₂²×#123	C₂³	semidirect
282. C₂²×#121	C₂³	semidirect
283. C₂²×#121	C₂³	semidirect
284. C₂²×#121	C₂³	semidirect
285. C₂²×#120	D₄	semidirect
312. C₂²×C₄×D₄	C₂³	semidirect
336. #2853	C₂³	semidirect
337. #2853	C₂³	semidirect
340. #2849	C₂³	semidirect
341. #2849	C₂³	semidirect
342. #2849	C₂³	semidirect
343. #2849	C₂³	semidirect
344. #2848	C₂³	semidirect
345. #2848	C₂³	semidirect
346. #2847	C₂³	semidirect
347. #2847	C₂³	semidirect
348. #2626	C₂³	semidirect
349. #2626	C₂³	semidirect
350. #2623	C₂³	semidirect
351. #2623	C₂³	semidirect
354. #2622	C₂³	semidirect
355. #2622	C₂³	semidirect
356. #2622	C₂³	semidirect
357. #2622	C₂³	semidirect
358. #2617	C₂³	semidirect
359. #2617	C₂³	semidirect
360. #2591	C₂³	semidirect
361. #2591	C₂³	semidirect
362. #2583	C₂³	semidirect
363. #2583	C₂³	semidirect
366. #2579	C₂³	semidirect
367. #2579	C₂³	semidirect
368. #2504	C₂³	semidirect
369. #2502	C₂³	semidirect
371. #2487	C₂³	semidirect
372. #2482	C₂³	semidirect
373. #2482	C₂³	semidirect
374. #2436	C₂³	semidirect
375. #2434	C₂³	semidirect
376. #2411	C₂³	semidirect
377. #2411	C₂³	semidirect
378. #2411	C₂³	semidirect
379. #2411	C₂³	semidirect
384. #2410	C₂³	semidirect
385. #2410	C₂³	semidirect
386. #2410	C₂³	semidirect
387. #2410	C₂³	semidirect
388. #2410	C₂³	semidirect
389. #2410	C₂³	semidirect
390. #2410	C₂³	semidirect
391. #2410	C₂³	semidirect
393. #2409	C₂³	semidirect
394. #2405	C₂³	semidirect
395. #2405	C₂³	semidirect
396. #2405	C₂³	semidirect
397. #2405	C₂³	semidirect
398. #2405	C₂³	semidirect
399. #2405	C₂³	semidirect
408. #2342	C₂³	semidirect
409. #2342	C₂³	semidirect
410. #2342	C₂³	semidirect
411. #2342	C₂³	semidirect
412. D₄×C₂²⋊C₄	C₂³	semidirect
413. D₄×C₂²⋊C₄	C₂³	semidirect
414. D₄×C₂²⋊C₄	C₂³	semidirect
415. D₄×C₂²⋊C₄	C₂³	semidirect
418. #2321	C₂³	semidirect
419. #2321	C₂³	semidirect
420. #2317	C₂³	semidirect
431. #2315	C₂³	semidirect
432. #2315	C₂³	semidirect
433. #2315	C₂³	semidirect
450. C₄×#120	C₂³	semidirect
451. C₄×#120	C₂³	semidirect
453. #2296	C₂³	semidirect
465. C₂×#385	C₂³	semidirect
466. C₂×#385	C₂³	semidirect
467. C₂×#385	C₂³	semidirect
476. #2062	C₂³	semidirect
477. #2062	C₂³	semidirect
478. #2062	C₂³	semidirect
479. #2062	C₂³	semidirect
480. #2062	C₂³	semidirect
481. #2062	C₂³	semidirect
488. #2044	C₂³	semidirect
489. #2044	C₂³	semidirect
490. #2044	C₂³	semidirect
491. #2044	C₂³	semidirect
492. #2044	C₂³	semidirect
493. #2044	C₂³	semidirect
494. #2029	C₂³	semidirect
495. #2029	C₂³	semidirect
498. #2021	C₂³	semidirect
499. #2021	C₂³	semidirect
500. #1996	C₂³	semidirect
501. #1996	C₂³	semidirect
502. #1996	C₂³	semidirect
503. #1996	C₂³	semidirect
504. #1964	C₂³	semidirect
505. #1964	C₂³	semidirect
506. #1899	C₂³	semidirect
507. #1899	C₂³	semidirect
508. #1899	C₂³	semidirect
513. #1898	C₂³	semidirect
514. #1898	C₂³	semidirect
515. #1898	C₂³	semidirect
516. #1898	C₂³	semidirect
517. #1898	C₂³	semidirect
524. #1889	C₂³	semidirect
525. #1889	C₂³	semidirect
526. #1889	C₂³	semidirect
527. #1889	C₂³	semidirect
528. #1889	C₂³	semidirect
529. #1889	C₂³	semidirect
548. #1867	C₂³	semidirect
549. #1867	C₂³	semidirect
550. #1867	C₂³	semidirect
551. #1867	C₂³	semidirect
552. #1867	C₂³	semidirect
553. #1867	C₂³	semidirect
554. #1867	C₂³	semidirect
555. #1867	C₂³	semidirect
556. #1867	C₂³	semidirect
557. #1867	C₂³	semidirect
558. #1867	C₂³	semidirect
559. #1867	C₂³	semidirect
560. #1867	C₂³	semidirect
561. #1867	C₂³	semidirect
562. #1867	C₂³	semidirect
563. #1867	C₂³	semidirect
564. #1867	C₂³	semidirect
565. #1867	C₂³	semidirect
566. #1820	C₂³	semidirect
567. #1819	C₂³	semidirect
568. #1819	C₂³	semidirect
569. #1819	C₂³	semidirect
572. #1799	C₂³	semidirect
573. #1799	C₂³	semidirect
586. C₄×#99	C₂³	semidirect
587. C₄×#99	C₂³	semidirect
588. #1740	C₂³	semidirect
603. C₂×#342	C₂³	semidirect
604. C₂×#342	C₂³	semidirect
605. C₂×#342	C₂³	semidirect
612. C₂²×#41	C₂×D₄	semidirect
613. C₂²×#41	C₂×D₄	semidirect
626. C₂³×D₄	C₂×D₄	semidirect
627. C₂³×D₄	C₂×D₄	semidirect
656. C₂×#127	C₂×D₄	semidirect
657. C₂×#127	C₂×D₄	semidirect
658. C₂×#126	C₂×D₄	semidirect
659. C₂×#126	C₂×D₄	semidirect
660. C₂×#126	C₂×D₄	semidirect
661. C₂×#126	C₂×D₄	semidirect
662. C₂×#124	C₂×D₄	semidirect
663. C₂×#124	C₂×D₄	semidirect
664. C₂×#124	C₂×D₄	semidirect
665. C₂×#124	C₂×D₄	semidirect
666. C₂×#124	C₂×D₄	semidirect
667. C₂×#124	C₂×D₄	semidirect
672. C₂×#123	C₂×D₄	semidirect
673. C₂×#123	C₂×D₄	semidirect
674. C₂×#123	C₂×D₄	semidirect
675. C₂×#123	C₂×D₄	semidirect
676. C₂×#123	C₂×D₄	semidirect
677. C₂×#123	C₂×D₄	semidirect
678. C₂×#123	C₂×D₄	semidirect
679. C₂×#123	C₂×D₄	semidirect
680. C₂×#123	C₂×D₄	semidirect
681. C₂×#123	C₂×D₄	semidirect
688. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
689. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
690. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
691. C₂×C₂²⋊Q₈	C₂×D₄	semidirect
698. C₂×#121	C₂×D₄	semidirect
699. C₂×#121	C₂×D₄	semidirect
700. C₂×#121	C₂×D₄	semidirect
701. C₂×#121	C₂×D₄	semidirect
702. C₂×#121	C₂×D₄	semidirect
703. C₂×#121	C₂×D₄	semidirect
704. C₂×#121	C₂×D₄	semidirect
705. C₂×#121	C₂×D₄	semidirect
706. C₂×#121	C₂×D₄	semidirect
707. C₂×#121	C₂×D₄	semidirect
708. C₂×#121	C₂×D₄	semidirect
709. C₂×#121	C₂×D₄	semidirect
710. C₂×#121	C₂×D₄	semidirect
711. C₂×#121	C₂×D₄	semidirect
712. C₂×#121	C₂×D₄	semidirect
713. C₂×#121	C₂×D₄	semidirect
732. C₂×#120	C₂×D₄	semidirect
733. C₂×#120	C₂×D₄	semidirect
734. C₂×#120	C₂×D₄	semidirect
735. C₂×#120	C₂×D₄	semidirect
736. C₂×#120	C₂×D₄	semidirect
737. C₂×#120	C₂×D₄	semidirect
766. C₂×C₄×D₄	C₂×D₄	semidirect
767. C₂×C₄×D₄	C₂×D₄	semidirect
768. C₂×C₄×D₄	C₂×D₄	semidirect
769. C₂×C₄×D₄	C₂×D₄	semidirect
770. C₂×C₄×D₄	C₂×D₄	semidirect
771. C₂×C₄×D₄	C₂×D₄	semidirect
772. C₂×C₄×D₄	C₂×D₄	semidirect
773. C₂×C₄×D₄	C₂×D₄	semidirect
780. C₂×#117	C₂×D₄	semidirect
781. C₂×#117	C₂×D₄	semidirect
799. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
800. C₂²×C₂²⋊C₄	C₂×D₄	semidirect
835. C₂×#99	#41	semidirect
1111. C₂×C₂²⋊C₄	C₂×#41	semidirect
1130. #99	C₂×#41	semidirect
1141. C₂⁴	#547	semidirect
1173. C₂×D₄	#547	semidirect
1176. C₂²×C₄	#547	semidirect

Maximal subgroups

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

subgroup	index
#10586069	2
#7675442	2
#7675441	2
#6629262	2
C₂×#33020	2
#6629123	2
#6596201	2
#6596199	2
#6596195	2
#6596192	2
#6596190	2
#6596186	2
#6596184	2
#6453043	2
#6453039	2
#6452270	2
C₂×#25563	2
#6450032	2
#6448647	2
#6445809	2
#6445521	2
#6440464	2
#6440460	2
#6437999	2
C₂×#24404	2
#6379246	2
#6379010	2
#6372736	2
#6371337	2
C₂×#20889	2