Subgroups — #72310329

Order 2048.

At least 10549 conjugacy classes of subgroups; only the 5240 normal subgroups are shown.

The subgroup lattice has 1494 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72310325	C₂	1	1	yes	maximal, characteristic, complemented
2	#72310324	C₂	1	1	yes	maximal, characteristic, complemented
3	#72310323	C₂	1	1	yes	maximal, characteristic, complemented
4	#72310321	C₂	1	1	yes	maximal, characteristic, complemented
5	#72310318	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#6348971	C₂	1	1	yes	maximal, characteristic, complemented
7	#72310315	C₂	1	1	yes	maximal, characteristic, complemented
8	#72310313	C₂	1	4	yes	maximal, complemented
9	#72310312	C₂	1	4	yes	maximal, complemented
10	#72310311	C₂	1	4	yes	maximal, complemented
11	#72310310	C₂	1	4	yes	maximal, complemented
12	#72310309	C₂	1	2	yes	maximal, complemented
13	#72310308	C₂	1	2	yes	maximal, complemented
14	#72310307	C₂	1	2	yes	maximal, complemented
15	#72310306	C₂	1	2	yes	maximal, complemented
16	#72310305	C₂	1	2	yes	maximal, complemented
17	#72310303	C₂	1	2	yes	maximal, complemented
18	#72310302	C₂	1	2	yes	maximal, complemented
19	#72310301	C₂	1	8	yes	maximal, complemented
20	#72310300	C₂	1	8	yes	maximal, complemented
21	#72310292	C₂	1	1	yes	maximal, characteristic, complemented
22	#72310284	C₂	1	2	yes	maximal, complemented
23	#72257831	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#6348988	C₂	1	1	yes	maximal, characteristic, complemented
25	#72257755	C₂	1	1	yes	maximal, characteristic, complemented
26	#72257446	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×D₄×#575	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²×#61451	C₂	1	1	yes	maximal, characteristic, complemented
29	#72224710	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²×#3481	C₂²	1	1	yes	characteristic, complemented
31	C₂²×D₄×#41	C₂²	1	1	yes	characteristic
32	C₂²×D₄×#41	C₂²	1	1	yes	characteristic, complemented
33	C₂×#61451	C₂²	1	4	yes	—
34	C₂×#61451	C₂²	1	4	yes	complemented
35	C₂×#61451	C₂²	1	4	yes	complemented
36	C₂×#61451	C₂²	1	4	yes	complemented
37	C₂²×#3399	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#3335	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#3373	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#3366	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#3295	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#3294	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#3384	C₂²	1	1	yes	characteristic, complemented
44	C₂×#61070	C₂²	1	2	yes	complemented
45	C₂×#61070	C₂²	1	2	yes	complemented
46	C₂×#61067	C₂²	1	2	yes	—
47	C₂×#61067	C₂²	1	2	yes	complemented
48	C₂×D₄×#137	C₂²	1	2	yes	complemented
49	C₂×D₄×#137	C₂²	1	2	yes	complemented
50	C₂×D₄×AGL(1,ℤ/8)	C₂²	1	2	yes	—
51	C₂×D₄×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
52	C₂×#61038	C₂²	1	4	yes	complemented
53	C₂×D₄×#135	C₂²	1	4	yes	complemented
54	C₂²×D₄×D₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×#60803	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#3184	C₂²	1	1	yes	characteristic, complemented
57	C₂×#60639	C₂²	1	1	yes	characteristic, complemented
58	C₂×#60561	C₂²	1	1	yes	characteristic, complemented
59	C₂×#60561	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#3109	C₂²	1	1	yes	characteristic
61	C₂²×#3115	C₂²	1	1	yes	characteristic, complemented
62	C₂×#60415	C₂²	1	1	yes	characteristic
63	C₂×#60415	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#2970	C₂²	1	1	yes	characteristic, complemented
65	C₂²×D₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×#575	C₂²	1	1	yes	characteristic
67	C₂²×C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
68	#7628157	C₂²	1	1	yes	characteristic, complemented
69	#6453998	C₂²	1	4	yes	complemented
70	#6453996	C₂²	1	4	yes	complemented
71	#6453987	C₂²	1	4	yes	complemented
72	#6453987	C₂²	1	4	yes	complemented
73	#6453909	C₂²	1	8	yes	complemented
74	#6453899	C₂²	1	2	yes	complemented
75	#6453899	C₂²	1	2	yes	complemented
76	#6453897	C₂²	1	2	yes	—
77	#6453897	C₂²	1	2	yes	complemented
78	#6448821	C₂²	1	2	yes	complemented
79	#6448817	C₂²	1	2	yes	complemented
80	#6448606	C₂²	1	2	yes	complemented
81	#6448602	C₂²	1	2	yes	complemented
82	#6445477	C₂²	1	2	yes	complemented
83	#6445476	C₂²	1	2	yes	complemented
84	#6442656	C₂²	1	2	yes	complemented
85	#6442656	C₂²	1	2	yes	complemented
86	#6374676	C₂²	1	1	yes	characteristic, complemented
87	#6372442	C₂²	1	1	yes	characteristic, complemented
88	#6372442	C₂²	1	1	yes	characteristic, complemented
89	#6372358	C₂²	1	1	yes	characteristic, complemented
90	#6372358	C₂²	1	1	yes	characteristic, complemented
91	#6370978	C₂²	1	1	yes	characteristic, complemented
92	#6370977	C₂²	1	1	yes	characteristic, complemented
93	C₂×#18794	C₂²	1	4	yes	complemented
94	C₂×#18794	C₂²	1	4	yes	complemented
95	C₂×#18787	C₂²	1	2	yes	complemented
96	C₂×#18787	C₂²	1	2	yes	complemented
97	C₂×#18786	C₂²	1	2	yes	—
98	C₂×#18786	C₂²	1	2	yes	complemented
99	C₂×#18754	C₂²	1	8	yes	complemented
100	C₂×#18752	C₂²	1	2	yes	complemented
101	C₂×#18750	C₂²	1	2	yes	complemented
102	C₂×#18748	C₂²	1	2	yes	complemented
103	C₂×#18746	C₂²	1	2	yes	complemented
104	C₂×#18545	C₂²	1	2	yes	complemented
105	C₂×#18534	C₂²	1	2	yes	complemented
106	C₂×#18533	C₂²	1	2	yes	complemented
107	C₂×#18532	C₂²	1	4	yes	complemented
108	C₂×#18527	C₂²	1	4	yes	complemented
109	C₂×#18524	C₂²	1	2	yes	complemented
110	C₂×#17750	C₂²	1	1	yes	characteristic, complemented
111	C₂×#17744	C₂²	1	1	yes	characteristic, complemented
112	C₂×#17743	C₂²	1	1	yes	characteristic, complemented
113	C₂×#17452	C₂²	1	1	yes	characteristic, complemented
114	C₂×#17451	C₂²	1	1	yes	characteristic, complemented
115	C₂×#17450	C₂²	1	1	yes	characteristic, complemented
116	C₂×#17448	C₂²	1	1	yes	characteristic, complemented
117	#249695	C₂²	1	8	yes	complemented
118	#249687	C₂²	1	8	yes	complemented
119	#249665	C₂²	1	8	yes	complemented
120	#249657	C₂²	1	8	yes	complemented
121	#249555	C₂²	1	8	yes	complemented
122	#249543	C₂²	1	8	yes	complemented
123	#249539	C₂²	1	8	yes	complemented
124	#249527	C₂²	1	8	yes	complemented
125	#249503	C₂²	1	8	yes	complemented
126	#249495	C₂²	1	8	yes	complemented
127	#249491	C₂²	1	8	yes	complemented
128	#249479	C₂²	1	8	yes	complemented
129	#249475	C₂²	1	8	yes	complemented
130	#249473	C₂²	1	8	yes	complemented
131	#249465	C₂²	1	8	yes	complemented
132	#249463	C₂²	1	8	yes	complemented
133	#245056	C₂²	1	8	yes	complemented
134	#245042	C₂²	1	8	yes	complemented
135	#245032	C₂²	1	8	yes	complemented
136	#245031	C₂²	1	8	yes	complemented
137	#244998	C₂²	1	8	yes	complemented
138	#244985	C₂²	1	8	yes	complemented
139	#244944	C₂²	1	8	yes	complemented
140	#244927	C₂²	1	8	yes	complemented
141	#244854	C₂²	1	8	yes	complemented
142	#244853	C₂²	1	8	yes	complemented
143	#244852	C₂²	1	8	yes	complemented
144	#244807	C₂²	1	8	yes	complemented
145	#244794	C₂²	1	8	yes	complemented
146	#244793	C₂²	1	8	yes	complemented
147	#244792	C₂²	1	8	yes	complemented
148	#244791	C₂²	1	8	yes	complemented
149	#234069	C₂²	1	4	yes	complemented
150	#234068	C₂²	1	4	yes	complemented
151	#233952	C₂²	1	8	yes	complemented
152	#233945	C₂²	1	2	yes	complemented
153	#233944	C₂²	1	2	yes	complemented
154	#233937	C₂²	1	2	yes	complemented
155	#233936	C₂²	1	2	yes	complemented
156	#233530	C₂²	1	4	yes	complemented
157	#233521	C₂²	1	4	yes	complemented
158	#233423	C₂²	1	8	yes	complemented
159	#233392	C₂²	1	2	yes	complemented
160	#233391	C₂²	1	2	yes	complemented
161	#233368	C₂²	1	2	yes	complemented
162	#233367	C₂²	1	2	yes	complemented
163	#233144	C₂²	1	4	yes	complemented
164	#233142	C₂²	1	4	yes	complemented
165	#233140	C₂²	1	4	yes	complemented
166	#233136	C₂²	1	4	yes	complemented
167	#233092	C₂²	1	2	yes	complemented
168	#233090	C₂²	1	2	yes	complemented
169	#233088	C₂²	1	8	yes	complemented
170	#233082	C₂²	1	2	yes	complemented
171	#233080	C₂²	1	2	yes	complemented
172	#233071	C₂²	1	8	yes	complemented
173	#233063	C₂²	1	2	yes	complemented
174	#233061	C₂²	1	2	yes	complemented
175	#233056	C₂²	1	2	yes	complemented
176	#233055	C₂²	1	2	yes	complemented
177	#197817	C₂²	1	4	yes	complemented
178	#197814	C₂²	1	4	yes	complemented
179	#197804	C₂²	1	4	yes	complemented
180	#197804	C₂²	1	4	yes	complemented
181	#197795	C₂²	1	2	yes	complemented
182	#197795	C₂²	1	2	yes	complemented
183	#197792	C₂²	1	4	yes	complemented
184	#197778	C₂²	1	4	yes	complemented
185	#197777	C₂²	1	2	yes	complemented
186	#197777	C₂²	1	2	yes	complemented
187	#197739	C₂²	1	8	yes	complemented
188	#197729	C₂²	1	2	yes	complemented
189	#197729	C₂²	1	2	yes	complemented
190	#197725	C₂²	1	2	yes	complemented
191	#197725	C₂²	1	2	yes	complemented
192	#193650	C₂²	1	8	yes	complemented
193	#193647	C₂²	1	2	yes	complemented
194	#193647	C₂²	1	2	yes	complemented
195	#193646	C₂²	1	2	yes	complemented
196	#193646	C₂²	1	2	yes	complemented
197	#193643	C₂²	1	4	yes	complemented
198	#193642	C₂²	1	4	yes	complemented
199	#193640	C₂²	1	4	yes	complemented
200	#193640	C₂²	1	4	yes	complemented
201	#193556	C₂²	1	2	yes	complemented
202	#193556	C₂²	1	2	yes	complemented
203	#193555	C₂²	1	4	yes	complemented
204	#193537	C₂²	1	2	yes	complemented
205	#193537	C₂²	1	2	yes	complemented
206	#193537	C₂²	1	4	yes	complemented
207	#186694	C₂²	1	4	yes	complemented
208	#186694	C₂²	1	4	yes	complemented
209	#186638	C₂²	1	4	yes	complemented
210	#186638	C₂²	1	4	yes	complemented
211	#186617	C₂²	1	2	yes	complemented
212	#186616	C₂²	1	2	yes	complemented
213	#186615	C₂²	1	2	yes	complemented
214	#186614	C₂²	1	2	yes	complemented
215	#181772	C₂²	1	1	yes	characteristic, complemented
216	#181434	C₂²	1	1	yes	characteristic, complemented
217	#181433	C₂²	1	1	yes	characteristic, complemented
218	#180855	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#575	D₄	1	1	yes	characteristic
220	C₂³×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
221	C₂×#3481	C₂³	1	4	yes	—
222	C₂×#3481	C₂³	1	4	yes	complemented
223	C₂²×#559	C₂³	1	1	yes	characteristic, complemented
224	C₂²×#554	C₂³	1	1	yes	characteristic, complemented
225	C₂²×#554	C₂³	1	1	yes	characteristic, complemented
226	C₂×D₄×#41	D₄	1	16	yes	complemented
227	C₂×D₄×#41	C₂³	1	2	yes	—
228	C₂×D₄×#41	C₂³	1	2	yes	—
229	C₂×D₄×#41	C₂³	1	2	yes	—
230	C₂×D₄×#41	C₂³	1	2	yes	—
231	C₂×D₄×#41	C₂³	1	2	yes	—
232	C₂×D₄×#41	C₂³	1	2	yes	—
233	C₂×D₄×#41	C₂³	1	2	yes	complemented
234	C₂×D₄×#41	C₂³	1	2	yes	complemented
235	C₂²×#550	C₂³	1	1	yes	characteristic
236	C₂²×#550	C₂³	1	1	yes	characteristic, complemented
237	C₂²×#547	C₂³	1	1	yes	characteristic
238	C₂²×#547	C₂³	1	1	yes	characteristic, complemented
239	C₂²×D₄×Q₈	C₂³	1	1	yes	characteristic
240	C₂²×D₄×Q₈	C₂³	1	1	yes	characteristic, complemented
241	C₂²×D₄²	C₂³	1	1	yes	characteristic
242	C₂²×D₄²	C₂³	1	1	yes	characteristic, complemented
243	C₂²×D₄²	C₂³	1	1	yes	characteristic, complemented
244	C₂²×#532	C₂³	1	1	yes	characteristic
245	C₂²×#532	C₂³	1	1	yes	characteristic
246	C₂²×#532	C₂³	1	1	yes	characteristic
247	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
248	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
249	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
250	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
251	C₂×#3399	C₂³	1	4	yes	—
252	C₂×#3399	C₂³	1	4	yes	complemented
253	C₂×#3384	C₂³	1	4	yes	—
254	C₂×#3384	C₂³	1	4	yes	complemented
255	C₂×#3373	C₂³	1	4	yes	—
256	C₂×#3373	C₂³	1	4	yes	complemented
257	C₂×#3366	C₂³	1	4	yes	—
258	C₂×#3366	C₂³	1	4	yes	complemented
259	C₂×#3335	C₂³	1	4	yes	—
260	C₂×#3335	C₂³	1	4	yes	complemented
261	C₂×#3295	C₂³	1	4	yes	—
262	C₂×#3295	C₂³	1	4	yes	complemented
263	C₂×#3294	C₂³	1	4	yes	—
264	C₂×#3294	C₂³	1	4	yes	complemented
265	C₂×#3287	C₂³	1	4	yes	complemented
266	C₂×D₄×Q₁₆	C₂³	1	4	yes	complemented
267	C₂×#3284	C₂³	1	4	yes	—
268	C₂×#3284	C₂³	1	4	yes	complemented
269	C₂×#3283	C₂³	1	4	yes	—
270	C₂×D₄×SD₁₆	C₂³	1	4	yes	—
271	C₂×D₄×SD₁₆	C₂³	1	4	yes	complemented
272	C₂×D₄×D₈	C₂³	1	4	yes	—
273	C₂×D₄×D₈	C₂³	1	4	yes	—
274	C₂×D₄×D₈	C₂³	1	4	yes	complemented
275	C₂×#3278	C₂³	1	4	yes	complemented
276	C₂×#3278	C₂³	1	4	yes	complemented
277	C₂×#3276	C₂³	1	4	yes	—
278	C₂×#3276	C₂³	1	4	yes	complemented
279	C₂×#3274	C₂³	1	4	yes	—
280	C₂×#3274	C₂³	1	4	yes	complemented
281	C₂×#3272	C₂³	1	4	yes	—
282	C₂×#3272	C₂³	1	4	yes	—
283	C₂×#3207	C₂³	1	4	yes	complemented
284	C₂×#3206	C₂³	1	2	yes	—
285	C₂×#3205	C₂³	1	2	yes	—
286	C₂×#3184	C₂³	1	4	yes	—
287	C₂×#3184	C₂³	1	4	yes	complemented
288	C₂²×#498	C₂³	1	1	yes	characteristic, complemented
289	C₂×#3152	C₂³	1	2	yes	—
290	C₂×#3152	C₂³	1	2	yes	complemented
291	C₂×#3151	C₂³	1	2	yes	—
292	C₂×#3151	C₂³	1	2	yes	complemented
293	C₂×#3151	C₂³	1	2	yes	complemented
294	C₂×#3147	C₂³	1	4	yes	complemented
295	C₂²×#493	C₂³	1	1	yes	characteristic, complemented
296	C₂×#3141	C₂³	1	2	yes	complemented
297	C₂²×#486	C₂³	1	1	yes	characteristic, complemented
298	C₂²×#486	C₂³	1	1	yes	characteristic, complemented
299	C₂×#3112	C₂³	1	2	yes	complemented
300	C₂×#3109	D₄	1	16	yes	complemented
301	C₂×#3109	C₂³	1	2	yes	—
302	C₂×#3109	C₂³	1	2	yes	—
303	C₂×#3109	C₂³	1	2	yes	—
304	C₂×#3109	C₂³	1	2	yes	—
305	C₂×#3109	C₂³	1	2	yes	complemented
306	C₂×#3115	C₂³	1	4	yes	—
307	C₂×#3115	C₂³	1	4	yes	complemented
308	C₂×#3115	C₂³	1	4	yes	complemented
309	C₂×#3106	C₂³	1	4	yes	complemented
310	C₂×#3103	C₂³	1	2	yes	—
311	C₂×#3100	C₂³	1	2	yes	—
312	C₂×#3079	C₂³	1	2	yes	—
313	C₂×#3079	C₂³	1	2	yes	complemented
314	C₂²×#475	C₂³	1	1	yes	characteristic, complemented
315	C₂²×#476	C₂³	1	1	yes	characteristic
316	C₂²×#476	C₂³	1	1	yes	characteristic
317	C₂²×#474	C₂³	1	1	yes	characteristic, complemented
318	#60415	D₄	1	16	yes	complemented
319	C₂×#3039	C₂³	1	2	yes	—
320	C₂×#3039	C₂³	1	2	yes	—
321	C₂×#3038	C₂³	1	2	yes	—
322	C₂×#3038	C₂³	1	2	yes	—
323	C₂×#3038	C₂³	1	2	yes	—
324	C₂×#3038	C₂³	1	2	yes	complemented
325	C₂×#3037	C₂³	1	2	yes	—
326	C₂×#3037	C₂³	1	2	yes	complemented
327	C₂×#3036	C₂³	1	2	yes	—
328	C₂×#3036	C₂³	1	2	yes	complemented
329	C₂×#3035	C₂³	1	4	yes	—
330	C₂×#3035	C₂³	1	4	yes	complemented
331	C₂²×#460	C₂³	1	1	yes	characteristic, complemented
332	C₂²×#459	C₂³	1	1	yes	characteristic
333	C₂²×#459	C₂³	1	1	yes	characteristic
334	C₂²×#459	C₂³	1	1	yes	characteristic, complemented
335	C₂×#2970	C₂³	1	4	yes	—
336	C₂×#2970	C₂³	1	4	yes	complemented
337	C₂²×#446	C₂³	1	1	yes	characteristic, complemented
338	C₂²×#446	C₂³	1	1	yes	characteristic, complemented
339	C₂×C₄×#137	D₄	1	2	yes	—
340	C₂×C₄×#137	D₄	1	2	yes	—
341	C₂×C₄×#137	C₂³	1	2	yes	—
342	C₂×C₄×#137	C₂³	1	2	yes	—
343	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
344	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
345	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
346	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
347	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
348	C₂×C₄×AGL(1,ℤ/8)	D₄	1	2	yes	—
349	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
350	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
351	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
352	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
353	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
354	C₂×C₄×AGL(1,ℤ/8)	C₂³	1	2	yes	—
355	C₂×#2943	D₄	1	4	yes	—
356	C₂²×#442	D₄	1	1	yes	characteristic
357	C₂²×#442	D₄	1	1	yes	characteristic
358	C₂²×#440	D₄	1	1	yes	characteristic
359	C₂²×#440	D₄	1	1	yes	characteristic
360	C₂×C₄×#135	C₂³	1	4	yes	—
361	C₂²×C₄×SD₁₆	C₂³	1	1	yes	characteristic
362	C₂²×C₄×SD₁₆	C₂³	1	1	yes	characteristic
363	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
364	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
365	C₂×D₄×M₁₆	C₂³	1	2	yes	—
366	C₂×D₄×M₁₆	C₂³	1	2	yes	—
367	C₂×D₄×M₁₆	C₂³	1	2	yes	complemented
368	C₂×D₄×M₁₆	C₂³	1	2	yes	complemented
369	C₂²×#436	C₂³	1	2	yes	complemented
370	C₂²×C₈×D₄	C₂³	1	2	yes	complemented
371	C₂²×C₈×D₄	C₂³	1	1	yes	characteristic, complemented
372	C₂²×C₈×D₄	C₂³	1	1	yes	characteristic, complemented
373	C₂×#2920	C₂³	1	1	yes	characteristic
374	C₂×#2920	C₂³	1	1	yes	characteristic
375	C₂×#2920	C₂³	1	1	yes	characteristic
376	C₂²×#432	C₂³	1	1	yes	characteristic
377	C₂×#2911	D₄	1	1	yes	characteristic
378	C₂²×#428	D₄	1	1	yes	characteristic
379	C₂²×#423	C₂³	1	1	yes	characteristic
380	C₂×#2896	D₄	1	1	yes	characteristic
381	C₂×#2896	D₄	1	1	yes	characteristic
382	C₂²×#417	D₄	1	1	yes	characteristic
383	C₂²×#418	D₄	1	1	yes	characteristic
384	C₂²×C₄×M₁₆	C₂³	1	1	yes	characteristic
385	C₂²×C₄×M₁₆	C₂³	1	1	yes	characteristic
386	#34976	C₂³	1	4	yes	complemented
387	#34952	C₂³	1	2	yes	—
388	#34952	C₂³	1	2	yes	complemented
389	#34935	C₂³	1	2	yes	—
390	#34935	C₂³	1	2	yes	complemented
391	#34012	C₂³	1	1	yes	characteristic
392	#24331	C₂³	1	8	yes	complemented
393	#24330	C₂³	1	4	yes	complemented
394	#24330	C₂³	1	4	yes	complemented
395	#24327	C₂³	1	8	yes	complemented
396	#24326	C₂³	1	4	yes	—
397	#24326	C₂³	1	4	yes	complemented
398	#24240	C₂³	1	8	yes	complemented
399	#24240	C₂³	1	4	yes	complemented
400	#24240	C₂³	1	4	yes	complemented
401	#24236	C₂³	1	4	yes	—
402	#24236	C₂³	1	8	yes	complemented
403	#24236	C₂³	1	4	yes	complemented
404	#24190	C₂³	1	8	yes	complemented
405	#24188	C₂³	1	4	yes	complemented
406	#24188	C₂³	1	4	yes	complemented
407	#24186	C₂³	1	8	yes	complemented
408	#24184	C₂³	1	4	yes	—
409	#24184	C₂³	1	4	yes	complemented
410	#24122	C₂³	1	8	yes	complemented
411	#24120	C₂³	1	4	yes	complemented
412	#24120	C₂³	1	4	yes	complemented
413	#24118	C₂³	1	8	yes	complemented
414	#24116	C₂³	1	4	yes	—
415	#24116	C₂³	1	4	yes	complemented
416	#21863	C₂³	1	4	yes	complemented
417	#21833	C₂³	1	2	yes	complemented
418	#21803	C₂³	1	2	yes	complemented
419	#21410	C₂³	1	4	yes	complemented
420	#21410	C₂³	1	4	yes	complemented
421	#21410	C₂³	1	4	yes	complemented
422	#21401	C₂³	1	2	yes	—
423	#21401	C₂³	1	2	yes	—
424	#21401	C₂³	1	4	yes	complemented
425	#21380	C₂³	1	4	yes	complemented
426	#21380	C₂³	1	4	yes	complemented
427	#21373	C₂³	1	2	yes	—
428	#21373	C₂³	1	2	yes	—
429	#21373	C₂³	1	4	yes	complemented
430	#21324	C₂³	1	2	yes	complemented
431	#21324	C₂³	1	2	yes	complemented
432	#21303	C₂³	1	2	yes	complemented
433	#21303	C₂³	1	2	yes	complemented
434	#21203	C₂³	1	2	yes	complemented
435	#21203	C₂³	1	2	yes	complemented
436	#21190	C₂³	1	2	yes	complemented
437	#21190	C₂³	1	2	yes	complemented
438	#20743	C₂³	1	4	yes	—
439	#20738	C₂³	1	2	yes	complemented
440	#20738	C₂³	1	2	yes	complemented
441	#20737	C₂³	1	4	yes	complemented
442	#20732	C₂³	1	2	yes	—
443	#20732	C₂³	1	2	yes	—
444	#20647	C₂³	1	2	yes	complemented
445	#20646	C₂³	1	2	yes	complemented
446	#20646	C₂³	1	2	yes	complemented
447	#20646	C₂³	1	2	yes	complemented
448	C₂×#1631	C₂³	1	4	yes	complemented
449	C₂×#1631	C₂³	1	4	yes	complemented
450	C₂×#1621	C₂³	1	4	yes	—
451	C₂×#1621	C₂³	1	4	yes	complemented
452	C₂×#1637	C₂³	1	4	yes	complemented
453	C₂×#1637	C₂³	1	4	yes	complemented
454	C₂×#1627	C₂³	1	4	yes	—
455	C₂×#1627	C₂³	1	4	yes	complemented
456	C₂×#1635	C₂³	1	4	yes	complemented
457	C₂×#1635	C₂³	1	4	yes	complemented
458	C₂×#1625	C₂³	1	4	yes	—
459	C₂×#1625	C₂³	1	4	yes	complemented
460	C₂×#1640	C₂³	1	8	yes	complemented
461	C₂×#1644	C₂³	1	8	yes	complemented
462	C₂×#1643	C₂³	1	8	yes	complemented
463	C₂×#1639	C₂³	1	8	yes	complemented
464	C₂×#1620	C₂³	1	8	yes	complemented
465	C₂×#1622	C₂³	1	8	yes	complemented
466	C₂×#1622	C₂³	1	8	yes	complemented
467	C₂×#1629	C₂³	1	4	yes	complemented
468	C₂×#1629	C₂³	1	4	yes	complemented
469	C₂×#1619	C₂³	1	4	yes	—
470	C₂×#1619	C₂³	1	4	yes	complemented
471	C₂×#1619	C₂³	1	8	yes	complemented
472	C₂×#1560	C₂³	1	4	yes	complemented
473	C₂×#1557	C₂³	1	4	yes	complemented
474	C₂×#1556	C₂³	1	2	yes	complemented
475	C₂×#1555	C₂³	1	2	yes	complemented
476	C₂×#1553	C₂³	1	4	yes	complemented
477	C₂×#1553	C₂³	1	4	yes	complemented
478	C₂×#1551	C₂³	1	4	yes	complemented
479	C₂×#1548	C₂³	1	2	yes	complemented
480	C₂×#1547	C₂³	1	2	yes	—
481	C₂×#1547	C₂³	1	2	yes	—
482	C₂×#1546	C₂³	1	2	yes	complemented
483	C₂×#1545	C₂³	1	2	yes	complemented
484	C₂×#1545	C₂³	1	2	yes	complemented
485	C₂×#1489	C₂³	1	4	yes	—
486	C₂×#1489	C₂³	1	4	yes	complemented
487	C₂×#1491	C₂³	1	2	yes	complemented
488	C₂×#1490	C₂³	1	2	yes	complemented
489	C₂×#1490	C₂³	1	2	yes	complemented
490	C₂×#1490	C₂³	1	2	yes	complemented
491	C₂×#1488	C₂³	1	4	yes	complemented
492	C₂×#1488	C₂³	1	4	yes	complemented
493	C₂×#1487	C₂³	1	2	yes	complemented
494	C₂×#1486	C₂³	1	2	yes	—
495	C₂×#1486	C₂³	1	2	yes	—
496	C₂×#1486	C₂³	1	2	yes	complemented
497	C₂×#1477	C₂³	1	2	yes	—
498	C₂×#1477	C₂³	1	2	yes	—
499	C₂×#1477	C₂³	1	4	yes	complemented
500	C₂×#1479	C₂³	1	2	yes	complemented
501	C₂×#1478	C₂³	1	2	yes	complemented
502	C₂×#1478	C₂³	1	2	yes	complemented
503	C₂×#1478	C₂³	1	2	yes	complemented
504	#10318	C₂³	1	8	yes	complemented
505	#10315	C₂³	1	8	yes	complemented
506	#10310	C₂³	1	8	yes	complemented
507	#10306	C₂³	1	8	yes	complemented
508	#10305	C₂³	1	8	yes	complemented
509	#10305	C₂³	1	8	yes	complemented
510	#10305	C₂³	1	8	yes	complemented
511	#10304	C₂³	1	8	yes	complemented
512	#10276	C₂³	1	8	yes	complemented
513	#10274	C₂³	1	8	yes	complemented
514	#10273	C₂³	1	8	yes	complemented
515	#10271	C₂³	1	8	yes	complemented
516	#10269	C₂³	1	8	yes	complemented
517	#10268	C₂³	1	8	yes	complemented
518	#10268	C₂³	1	8	yes	complemented
519	#10267	C₂³	1	8	yes	complemented
520	#10266	C₂³	1	8	yes	complemented
521	#10266	C₂³	1	8	yes	complemented
522	#10263	C₂³	1	8	yes	complemented
523	#10262	C₂³	1	8	yes	complemented
524	#10262	C₂³	1	8	yes	complemented
525	#10261	C₂³	1	8	yes	complemented
526	#10260	C₂³	1	8	yes	complemented
527	#10260	C₂³	1	8	yes	complemented
528	#10234	C₂³	1	8	yes	complemented
529	#10233	C₂³	1	8	yes	complemented
530	#10232	C₂³	1	8	yes	complemented
531	#10231	C₂³	1	8	yes	complemented
532	#10230	C₂³	1	8	yes	complemented
533	#10229	C₂³	1	8	yes	complemented
534	#10229	C₂³	1	8	yes	complemented
535	#10228	C₂³	1	8	yes	complemented
536	#9230	C₂³	1	8	yes	complemented
537	#9230	C₂³	1	8	yes	complemented
538	#9229	C₂³	1	8	yes	complemented
539	#9229	C₂³	1	8	yes	complemented
540	#9226	C₂³	1	8	yes	complemented
541	#9226	C₂³	1	8	yes	complemented
542	#9223	C₂³	1	8	yes	complemented
543	#9223	C₂³	1	8	yes	complemented
544	#9221	C₂³	1	8	yes	—
545	#9221	C₂³	1	8	yes	complemented
546	#9221	C₂³	1	8	yes	complemented
547	#9221	C₂³	1	8	yes	complemented
548	#9217	C₂³	1	8	yes	complemented
549	#9217	C₂³	1	8	yes	complemented
550	#9215	C₂³	1	8	yes	complemented
551	#9215	C₂³	1	8	yes	complemented
552	#8952	C₂³	1	8	yes	complemented
553	#8952	C₂³	1	8	yes	complemented
554	#8951	C₂³	1	8	yes	complemented
555	#8951	C₂³	1	8	yes	complemented
556	#8950	C₂³	1	8	yes	complemented
557	#8950	C₂³	1	8	yes	complemented
558	#8949	C₂³	1	8	yes	complemented
559	#8949	C₂³	1	8	yes	complemented
560	#8947	C₂³	1	8	yes	—
561	#8947	C₂³	1	8	yes	complemented
562	#8947	C₂³	1	8	yes	complemented
563	#8947	C₂³	1	8	yes	complemented
564	#8945	C₂³	1	8	yes	complemented
565	#8945	C₂³	1	8	yes	complemented
566	#8945	C₂³	1	8	yes	complemented
567	#8945	C₂³	1	8	yes	complemented
568	#8447	C₂³	1	8	yes	complemented
569	#8447	C₂³	1	8	yes	complemented
570	#8446	C₂³	1	8	yes	—
571	#8446	C₂³	1	8	yes	complemented
572	#8444	C₂³	1	8	yes	complemented
573	#8444	C₂³	1	8	yes	complemented
574	#8443	C₂³	1	8	yes	—
575	#8443	C₂³	1	8	yes	complemented
576	#8045	C₂³	1	2	yes	complemented
577	#8045	C₂³	1	2	yes	complemented
578	#8044	C₂³	1	4	yes	complemented
579	#8042	C₂³	1	4	yes	complemented
580	#7876	C₂³	1	4	yes	complemented
581	#7876	C₂³	1	4	yes	complemented
582	#7875	C₂³	1	4	yes	complemented
583	#7874	C₂³	1	2	yes	complemented
584	#7874	C₂³	1	2	yes	complemented
585	#7873	C₂³	1	4	yes	complemented
586	#7873	C₂³	1	2	yes	complemented
587	#7873	C₂³	1	2	yes	complemented
588	#7852	C₂³	1	4	yes	complemented
589	#7848	C₂³	1	4	yes	complemented
590	#7848	C₂³	1	2	yes	complemented
591	#7848	C₂³	1	2	yes	complemented
592	C₂³×#41	C₂×D₄	1	1	yes	characteristic
593	C₂³×#41	C₂×D₄	1	1	yes	characteristic
594	C₂³×#41	C₂×D₄	1	1	yes	characteristic
595	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
596	C₂²×#137	C₂×D₄	1	2	yes	—
597	C₂²×#137	C₂×D₄	1	2	yes	—
598	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
599	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
600	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
601	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
602	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
603	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
604	C₂²×#135	C₂×D₄	1	4	yes	—
605	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic
606	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic
607	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
608	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
609	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
610	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
611	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
612	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic
613	C₂×#559	C₂⁴	1	4	yes	—
614	C₂×#554	C₂⁴	1	4	yes	—
615	C₂×#554	C₂⁴	1	4	yes	—
616	D₄×#41	C₂×D₄	1	16	yes	—
617	D₄×#41	C₂×D₄	1	16	yes	—
618	D₄×#41	C₂×D₄	1	16	yes	—
619	D₄×#41	C₂×D₄	1	16	yes	—
620	C₂×#550	C₂×D₄	1	8	yes	—
621	C₂×#550	C₂⁴	1	2	yes	—
622	C₂×#550	C₂⁴	1	2	yes	—
623	C₂×#550	C₂⁴	1	2	yes	—
624	C₂×#550	C₂⁴	1	2	yes	—
625	C₂×D₄×Q₈	C₂×D₄	1	8	yes	—
626	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
627	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
628	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
629	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
630	C₂×#547	C₂×D₄	1	8	yes	—
631	C₂×#547	C₂⁴	1	2	yes	—
632	C₂×#547	C₂⁴	1	2	yes	—
633	C₂×#547	C₂⁴	1	2	yes	—
634	C₂×#547	C₂⁴	1	2	yes	—
635	C₂×D₄²	C₂×D₄	1	8	yes	—
636	C₂×D₄²	C₂⁴	1	2	yes	—
637	C₂×D₄²	C₂⁴	1	2	yes	—
638	C₂×D₄²	C₂⁴	1	4	yes	—
639	C₂×D₄²	C₂⁴	1	2	yes	—
640	C₂×D₄²	C₂⁴	1	2	yes	—
641	C₂×#532	C₂×D₄	1	8	yes	—
642	C₂×#532	C₂×D₄	1	8	yes	—
643	C₂×#532	C₂×D₄	1	8	yes	—
644	C₂×#532	C₂⁴	1	2	yes	—
645	C₂×#532	C₂⁴	1	2	yes	—
646	C₂×#532	C₂⁴	1	2	yes	—
647	C₂×#532	C₂⁴	1	2	yes	—
648	C₂×#532	C₂⁴	1	2	yes	—
649	C₂×#532	C₂⁴	1	2	yes	—
650	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
651	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
652	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
653	C₂²×#127	C₂⁴	1	1	yes	characteristic
654	C₂²×#127	C₂⁴	1	1	yes	characteristic
655	C₂²×#127	C₂⁴	1	1	yes	characteristic
656	C₂×C₄×#41	C₂×D₄	1	8	yes	—
657	C₂×C₄×#41	C₂×D₄	1	8	yes	—
658	C₂×C₄×#41	C₂×D₄	1	2	yes	—
659	C₂×C₄×#41	C₂×D₄	1	2	yes	—
660	C₂×C₄×#41	C₂×D₄	1	2	yes	—
661	C₂×C₄×#41	C₂×D₄	1	2	yes	—
662	C₂×C₄×#41	C₂×D₄	1	2	yes	—
663	C₂×C₄×#41	C₂×D₄	1	2	yes	—
664	C₂×C₄×#41	C₂⁴	1	2	yes	—
665	C₂×C₄×#41	C₂⁴	1	2	yes	—
666	C₂×C₄×#41	C₂⁴	1	2	yes	—
667	C₂×C₄×#41	C₂⁴	1	2	yes	—
668	C₂×C₄×#41	C₂⁴	1	2	yes	—
669	C₂×C₄×#41	C₂⁴	1	2	yes	—
670	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
671	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
672	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
673	C₂²×C₄×Q₈	C₂⁴	1	1	yes	characteristic
674	C₂²×C₄×Q₈	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×Q₈	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
677	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
678	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
679	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
680	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
681	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
682	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
683	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
684	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
685	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
686	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
687	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
688	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
689	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
690	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
691	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
692	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
693	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
694	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
695	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×#117	C₂×D₄	1	1	yes	characteristic
697	C₂²×#117	C₂×D₄	1	1	yes	characteristic
698	C₂²×#117	C₂×D₄	1	1	yes	characteristic
699	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
700	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
701	C₂×#498	C₂⁴	1	4	yes	—
702	C₂×#494	C₂⁴	1	4	yes	—
703	C₂×#493	C₂⁴	1	4	yes	—
704	C₂×#493	C₂⁴	1	4	yes	—
705	C₂×#493	C₂⁴	1	4	yes	—
706	C₂×#492	C₂⁴	1	4	yes	—
707	C₂×#492	C₂⁴	1	4	yes	—
708	C₂×#492	C₂⁴	1	4	yes	—
709	C₂×#487	C₂⁴	1	4	yes	—
710	C₂×#486	C₂⁴	1	4	yes	—
711	C₂×#486	C₂⁴	1	4	yes	—
712	C₂×#486	C₂⁴	1	4	yes	—
713	#3109	C₂×D₄	1	16	yes	—
714	#3109	C₂×D₄	1	16	yes	—
715	#3109	C₂×D₄	1	16	yes	—
716	#3109	C₂×D₄	1	16	yes	—
717	C₂×#477	C₂⁴	1	4	yes	—
718	C₂×#475	C₂⁴	1	4	yes	—
719	C₂×#475	C₂⁴	1	4	yes	—
720	C₂×#476	C₂×D₄	1	8	yes	—
721	C₂×#476	C₂×D₄	1	8	yes	—
722	C₂×#476	C₂⁴	1	4	yes	—
723	C₂×#476	C₂⁴	1	2	yes	—
724	C₂×#476	C₂⁴	1	2	yes	—
725	C₂×#476	C₂⁴	1	2	yes	—
726	C₂×#476	C₂⁴	1	2	yes	—
727	C₂×#474	C₂⁴	1	4	yes	—
728	C₂×#474	C₂⁴	1	4	yes	—
729	#3039	C₂×D₄	1	16	yes	—
730	#3038	C₂×D₄	1	16	yes	—
731	#3037	C₂×D₄	1	16	yes	—
732	#3036	C₂×D₄	1	16	yes	—
733	#3035	C₂×D₄	1	32	yes	—
734	C₂×#462	C₂⁴	1	4	yes	—
735	C₂×#462	C₂⁴	1	4	yes	—
736	C₂×#460	C₂⁴	1	4	yes	—
737	C₂×#460	C₂⁴	1	4	yes	—
738	C₂×#460	C₂⁴	1	4	yes	—
739	C₂×#460	C₂⁴	1	4	yes	—
740	C₂×#460	C₂⁴	1	4	yes	—
741	C₂×#461	C₂⁴	1	4	yes	—
742	C₂×#461	C₂⁴	1	4	yes	—
743	C₂×#459	C₂×D₄	1	8	yes	—
744	C₂×#459	C₂×D₄	1	8	yes	—
745	C₂×#459	C₂⁴	1	4	yes	—
746	C₂×#459	C₂⁴	1	4	yes	—
747	C₂×#459	C₂⁴	1	4	yes	—
748	C₂×#459	C₂⁴	1	4	yes	—
749	C₂×#459	C₂⁴	1	2	yes	—
750	C₂×#459	C₂⁴	1	4	yes	—
751	C₂×#459	C₂⁴	1	2	yes	—
752	C₂×#459	C₂⁴	1	2	yes	—
753	C₂×#459	C₂⁴	1	2	yes	—
754	C₂×#446	C₂⁴	1	4	yes	—
755	C₂×#446	C₂⁴	1	4	yes	—
756	C₂×#442	C₂×D₄	1	2	yes	—
757	C₂×#442	C₂×D₄	1	2	yes	—
758	C₂×#442	C₂×D₄	1	4	yes	—
759	C₂×#442	C₂×D₄	1	2	yes	—
760	C₂×#442	C₂×D₄	1	2	yes	—
761	C₂×#442	C₂×D₄	1	2	yes	—
762	C₂×#442	C₂×D₄	1	2	yes	—
763	C₂×#442	C₂×D₄	1	4	yes	—
764	C₂×#442	C₂×D₄	1	2	yes	—
765	C₂×#442	C₂×D₄	1	2	yes	—
766	C₂×#441	C₂×D₄	1	4	yes	—
767	C₂×#441	C₂×D₄	1	4	yes	—
768	C₂×#440	C₂×D₄	1	2	yes	—
769	C₂×#440	C₂×D₄	1	2	yes	—
770	C₂×#440	C₂×D₄	1	2	yes	—
771	C₂×#440	C₂×D₄	1	2	yes	—
772	C₂×#440	C₂×D₄	1	2	yes	—
773	C₂×#440	C₂×D₄	1	4	yes	—
774	C₂×#440	C₂×D₄	1	4	yes	—
775	C₂×#440	C₂×D₄	1	2	yes	—
776	C₂×#440	C₂×D₄	1	4	yes	—
777	C₂×#440	C₂×D₄	1	2	yes	—
778	C₂×#440	C₂×D₄	1	4	yes	—
779	C₂×#440	C₂×D₄	1	2	yes	—
780	C₂×C₄×Q₁₆	C₂×D₄	1	4	yes	—
781	C₂×C₄×Q₁₆	C₂⁴	1	4	yes	—
782	C₂×C₄×SD₁₆	C₂×D₄	1	4	yes	—
783	C₂×C₄×SD₁₆	C₂×D₄	1	2	yes	—
784	C₂×C₄×SD₁₆	C₂×D₄	1	2	yes	—
785	C₂×C₄×SD₁₆	C₂×D₄	1	2	yes	—
786	C₂×C₄×SD₁₆	C₂×D₄	1	4	yes	—
787	C₂×C₄×SD₁₆	C₂×D₄	1	2	yes	—
788	C₂×C₄×SD₁₆	C₂⁴	1	2	yes	—
789	C₂×C₄×SD₁₆	C₂⁴	1	2	yes	—
790	C₂×C₄×SD₁₆	C₂⁴	1	4	yes	—
791	C₂×C₄×SD₁₆	C₂⁴	1	2	yes	—
792	C₂×C₄×SD₁₆	C₂⁴	1	4	yes	—
793	C₂×C₄×SD₁₆	C₂⁴	1	2	yes	—
794	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
795	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
796	C₂×C₄×D₈	C₂×D₄	1	4	yes	—
797	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
798	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
799	C₂×C₄×D₈	C₂⁴	1	2	yes	—
800	C₂×C₄×D₈	C₂⁴	1	2	yes	—
801	C₂×C₄×D₈	C₂⁴	1	4	yes	—
802	C₂×C₄×D₈	C₂⁴	1	2	yes	—
803	C₂×C₄×D₈	C₂⁴	1	2	yes	—
804	C₂×#436	C₂⁴	1	4	yes	—
805	C₂×#436	C₂⁴	1	4	yes	—
806	C₂×C₈×D₄	C₂⁴	1	4	yes	—
807	C₂×C₈×D₄	C₂⁴	1	4	yes	—
808	C₂×C₈×D₄	C₂⁴	1	4	yes	—
809	C₂×C₈×D₄	C₂⁴	1	4	yes	—
810	C₂×#432	C₂×D₄	1	8	yes	—
811	C₂×#432	C₂⁴	1	2	yes	—
812	C₂×#432	C₂⁴	1	2	yes	—
813	C₂×#432	C₂⁴	1	2	yes	—
814	C₂×#432	C₂⁴	1	2	yes	—
815	C₂×#431	C₂⁴	1	2	yes	—
816	C₂×#431	C₂⁴	1	2	yes	—
817	C₂×#431	C₂⁴	1	2	yes	—
818	C₂×#431	C₂⁴	1	2	yes	—
819	C₂×#428	C₂×D₄	1	2	yes	—
820	C₂×#428	C₂×D₄	1	2	yes	—
821	C₂×#428	C₂×D₄	1	2	yes	—
822	C₂×#428	C₂×D₄	1	2	yes	—
823	C₂×#428	C₂×D₄	1	2	yes	—
824	C₂×#428	C₂×D₄	1	2	yes	—
825	C₂×#428	C₂×D₄	1	2	yes	—
826	C₂×#428	C₂×D₄	1	2	yes	—
827	C₂×#427	C₂×D₄	1	4	yes	—
828	C₂²×#107	C₂×D₄	1	1	yes	characteristic
829	C₂²×#107	C₂×D₄	1	1	yes	characteristic
830	C₂²×#106	C₂×D₄	1	1	yes	characteristic
831	C₂²×#106	C₂×D₄	1	1	yes	characteristic
832	C₂×#423	C₂×D₄	1	8	yes	—
833	C₂×#423	C₂⁴	1	2	yes	—
834	C₂×#423	C₂⁴	1	2	yes	—
835	C₂×#423	C₂⁴	1	2	yes	—
836	C₂×#423	C₂⁴	1	2	yes	—
837	C₂²×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
838	C₂²×C₄⋊C₈	C₂⁴	1	1	yes	characteristic
839	C₂²×C₄⋊C₈	C₂⁴	1	2	yes	—
840	C₂×#417	C₂×D₄	1	2	yes	—
841	C₂×#417	C₂×D₄	1	2	yes	—
842	C₂×#417	C₂×D₄	1	2	yes	—
843	C₂×#417	C₂×D₄	1	2	yes	—
844	C₂×#417	C₂×D₄	1	2	yes	—
845	C₂×#417	C₂×D₄	1	2	yes	—
846	C₂×#417	C₂×D₄	1	2	yes	—
847	C₂×#417	C₂×D₄	1	2	yes	—
848	C₂×#419	C₂×D₄	1	2	yes	—
849	C₂×#419	C₂×D₄	1	2	yes	—
850	C₂×#418	C₂×D₄	1	2	yes	—
851	C₂×#418	C₂×D₄	1	2	yes	—
852	C₂×#418	C₂×D₄	1	2	yes	—
853	C₂×#418	C₂×D₄	1	2	yes	—
854	C₂×#418	C₂×D₄	1	2	yes	—
855	C₂×#418	C₂×D₄	1	2	yes	—
856	C₂×#416	C₂×D₄	1	4	yes	—
857	C₂×#416	C₂×D₄	1	4	yes	—
858	C₂²×#103	C₂×D₄	1	1	yes	characteristic
859	C₂²×#103	C₂×D₄	1	1	yes	characteristic
860	C₂²×#102	C₂×D₄	1	1	yes	characteristic
861	C₂²×#102	C₂×D₄	1	1	yes	characteristic
862	C₂²×#102	C₂×D₄	1	1	yes	characteristic
863	C₂²×#102	C₂×D₄	1	1	yes	characteristic
864	C₂²×#102	C₂×D₄	1	1	yes	characteristic
865	C₂²×#102	C₂×D₄	1	1	yes	characteristic
866	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
867	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
868	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
869	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
870	C₂×C₄×M₁₆	C₂⁴	1	2	yes	—
871	C₂×C₄×M₁₆	C₂⁴	1	2	yes	—
872	C₂×C₄×M₁₆	C₂⁴	1	2	yes	—
873	C₂×C₄×M₁₆	C₂⁴	1	2	yes	—
874	C₂×C₄×M₁₆	C₂⁴	1	2	yes	—
875	C₂²×#97	C₂×D₄	1	1	yes	characteristic
876	C₂²×#97	C₂×D₄	1	1	yes	characteristic
877	C₂²×#97	C₂×D₄	1	2	yes	—
878	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
879	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
880	C₂²×C₄×C₈	C₂⁴	1	2	yes	—
881	#2582	C₂⁴	1	4	yes	—
882	#2538	C₂⁴	1	4	yes	—
883	#2538	C₂⁴	1	4	yes	—
884	#2537	C₂⁴	1	4	yes	—
885	#2285	C₂⁴	1	2	yes	—
886	#2285	C₂⁴	1	2	yes	—
887	#2285	C₂⁴	1	2	yes	—
888	#1990	C₂⁴	1	4	yes	—
889	#1990	C₂⁴	1	4	yes	—
890	#1990	C₂⁴	1	8	yes	—
891	#1990	C₂⁴	1	8	yes	—
892	#1984	C₂⁴	1	4	yes	—
893	#1984	C₂⁴	1	4	yes	—
894	#1984	C₂⁴	1	8	yes	—
895	#1957	C₂⁴	1	8	yes	—
896	#1957	C₂⁴	1	4	yes	—
897	#1957	C₂⁴	1	4	yes	—
898	#1957	C₂⁴	1	8	yes	—
899	#1954	C₂⁴	1	4	yes	—
900	#1954	C₂⁴	1	8	yes	—
901	#1954	C₂⁴	1	4	yes	—
902	#1803	C₂⁴	1	8	yes	—
903	#1802	C₂⁴	1	8	yes	—
904	#1802	C₂⁴	1	4	yes	—
905	#1802	C₂⁴	1	4	yes	—
906	#1802	C₂⁴	1	4	yes	—
907	#1802	C₂⁴	1	4	yes	—
908	C₂×#333	C₂⁴	1	8	yes	—
909	C₂×#332	C₂⁴	1	4	yes	—
910	C₂×#332	C₂⁴	1	4	yes	—
911	C₂×#332	C₂⁴	1	8	yes	—
912	C₂×#331	C₂⁴	1	8	yes	—
913	C₂×#331	C₂⁴	1	4	yes	—
914	C₂×#331	C₂⁴	1	4	yes	—
915	C₂×#331	C₂⁴	1	8	yes	—
916	C₂×Q₈⋊C₈	C₂⁴	1	8	yes	—
917	C₂×Q₈⋊C₈	C₂⁴	1	4	yes	—
918	C₂×Q₈⋊C₈	C₂⁴	1	4	yes	—
919	C₂×Q₈⋊C₈	C₂⁴	1	8	yes	—
920	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
921	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
922	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
923	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
924	C₂×D₄⋊C₈	C₂⁴	1	8	yes	—
925	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
926	C₂×D₄⋊C₈	C₂⁴	1	4	yes	—
927	C₂×D₄⋊C₈	C₂⁴	1	8	yes	—
928	#1296	C₂⁴	1	8	yes	—
929	#1296	C₂⁴	1	8	yes	—
930	#1277	C₂⁴	1	8	yes	—
931	#1277	C₂⁴	1	8	yes	—
932	#1277	C₂⁴	1	8	yes	—
933	#1277	C₂⁴	1	8	yes	—
934	#1273	C₂⁴	1	8	yes	—
935	#1273	C₂⁴	1	8	yes	—
936	C₂²×#41	#120	1	8	yes	—
937	C₂²×#41	C₂²×D₄	1	2	yes	—
938	C₂²×#41	C₂²×D₄	1	2	yes	—
939	C₂²×#41	C₂²×D₄	1	2	yes	—
940	C₂²×#41	C₂²×D₄	1	2	yes	—
941	C₂²×#41	C₂²×D₄	1	2	yes	—
942	C₂²×#41	C₂²×D₄	1	2	yes	—
943	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
944	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
945	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
946	C₂³×D₄	#120	1	8	yes	—
947	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
948	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
949	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
950	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
951	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
952	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
953	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
954	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
955	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
956	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
957	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
958	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
959	C₂×AGL(1,ℤ/8)	AGL(1,ℤ/8)	1	16	yes	complemented
960	C₂²×Q₁₆	C₂²×D₄	1	4	yes	—
961	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
962	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
963	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
964	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
965	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
966	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
967	C₂²×D₈	C₂²×D₄	1	2	yes	—
968	C₂²×D₈	C₂²×D₄	1	2	yes	—
969	C₂²×D₈	C₂²×D₄	1	2	yes	—
970	C₂²×D₈	C₂²×D₄	1	4	yes	—
971	C₂²×D₈	C₂²×D₄	1	2	yes	—
972	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
973	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
974	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
975	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
976	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
977	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
978	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
979	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
980	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
981	C₂³×C₈	C₂²×D₄	1	2	yes	—
982	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
983	C₂³×C₈	C₂²×D₄	1	2	yes	—
984	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
985	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
986	#550	C₂²×D₄	1	8	yes	—
987	#550	C₂²×D₄	1	8	yes	—
988	D₄×Q₈	C₂²×D₄	1	8	yes	—
989	D₄×Q₈	C₂²×D₄	1	8	yes	—
990	#547	C₂²×D₄	1	8	yes	—
991	#547	C₂²×D₄	1	8	yes	—
992	D₄²	C₂²×D₄	1	8	yes	—
993	D₄²	C₂²×D₄	1	8	yes	—
994	#532	C₂²×D₄	1	8	yes	—
995	#532	C₂²×D₄	1	8	yes	—
996	#532	C₂²×D₄	1	8	yes	—
997	#532	C₂²×D₄	1	8	yes	—
998	#532	C₂²×D₄	1	8	yes	—
999	#532	C₂²×D₄	1	8	yes	—
1000	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
1001	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
1002	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
1003	C₂×C₄⋊Q₈	C₂⁵	1	2	yes	—
1004	C₂×C₄⋊Q₈	C₂⁵	1	2	yes	—
1005	C₂×C₄⋊Q₈	C₂⁵	1	2	yes	—
1006	C₂×#127	C₂²×D₄	1	4	yes	—
1007	C₂×#127	C₂²×D₄	1	4	yes	—
1008	C₂×#127	C₂²×D₄	1	4	yes	—
1009	C₂×#127	C₂⁵	1	2	yes	—
1010	C₂×#127	C₂⁵	1	2	yes	—
1011	C₂×#127	C₂⁵	1	2	yes	—
1012	C₄×#41	#120	1	16	yes	—
1013	C₄×#41	#120	1	16	yes	—
1014	C₄×#41	C₂²×D₄	1	8	yes	—
1015	C₄×#41	C₂²×D₄	1	8	yes	—
1016	C₄×#41	C₂²×D₄	1	8	yes	—
1017	C₄×#41	C₂²×D₄	1	8	yes	—
1018	C₂×C₄×Q₈	#120	1	8	yes	—
1019	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
1020	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
1021	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1022	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1023	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1024	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1025	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1026	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1027	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1028	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1029	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1030	C₂×C₄×Q₈	C₂⁵	1	2	yes	—
1031	C₂×C₄×Q₈	C₂⁵	1	2	yes	—
1032	C₂×C₄×Q₈	C₂⁵	1	2	yes	—
1033	C₂×C₄×D₄	#120	1	8	yes	—
1034	C₂×C₄×D₄	#120	1	8	yes	—
1035	C₂×C₄×D₄	#120	1	8	yes	—
1036	C₂×C₄×D₄	#120	1	8	yes	—
1037	C₂×C₄×D₄	#120	1	8	yes	—
1038	C₂×C₄×D₄	#120	1	8	yes	—
1039	C₂×C₄×D₄	#120	1	8	yes	—
1040	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1041	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1042	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1043	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1044	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1045	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1046	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1047	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1048	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1049	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1050	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1051	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1052	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1053	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1054	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1055	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1056	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1057	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1058	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1059	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1060	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1061	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1062	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1063	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1064	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1065	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1066	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1067	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1068	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1069	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1070	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1071	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1072	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1073	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1074	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1075	C₂×C₄×D₄	C₂⁵	1	2	yes	—
1076	C₂×C₄×D₄	C₂⁵	1	2	yes	—
1077	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1078	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1079	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1080	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1081	C₂×C₄×D₄	C₂⁵	1	2	yes	—
1082	C₂×#117	#120	1	8	yes	—
1083	C₂×#117	C₂²×D₄	1	2	yes	—
1084	C₂×#117	C₂²×D₄	1	2	yes	—
1085	C₂×#117	C₂²×D₄	1	2	yes	—
1086	C₂×#117	C₂²×D₄	1	2	yes	—
1087	C₂×#117	C₂²×D₄	1	2	yes	—
1088	C₂×#117	C₂²×D₄	1	2	yes	—
1089	C₂²×C₄⋊C₄	#120	1	8	yes	—
1090	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1091	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1092	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1093	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1094	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1095	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1096	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1097	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1098	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1099	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1100	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1101	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1102	C₂²×C₄²	C₂²×D₄	1	4	yes	—
1103	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1104	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1105	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1106	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1107	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1108	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1109	C₂²×C₄²	C₂²×D₄	1	4	yes	—
1110	C₂²×C₄²	C₂²×D₄	1	4	yes	—
1111	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1112	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1113	C₂²×C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1114	C₂²×C₄²	H(5,𝔽₂)	1	4	yes	—
1115	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
1116	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
1117	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
1118	#476	C₂²×D₄	1	8	yes	—
1119	#476	C₂²×D₄	1	8	yes	—
1120	#476	C₂²×D₄	1	8	yes	—
1121	#476	C₂²×D₄	1	8	yes	—
1122	#462	C₂²×D₄	1	16	yes	—
1123	#461	C₂²×D₄	1	16	yes	—
1124	#460	C₂²×D₄	1	16	yes	—
1125	#459	C₂²×D₄	1	8	yes	—
1126	#459	C₂²×D₄	1	8	yes	—
1127	#459	C₂²×D₄	1	8	yes	—
1128	#459	C₂²×D₄	1	8	yes	—
1129	#459	C₂²×D₄	1	16	yes	—
1130	#432	C₂²×D₄	1	8	yes	—
1131	#432	C₂²×D₄	1	8	yes	—
1132	C₂×#107	C₂²×D₄	1	2	yes	—
1133	C₂×#107	C₂²×D₄	1	2	yes	—
1134	C₂×#107	C₂²×D₄	1	2	yes	—
1135	C₂×#107	C₂²×D₄	1	4	yes	—
1136	C₂×#107	C₂²×D₄	1	2	yes	—
1137	C₂×#107	C₂²×D₄	1	4	yes	—
1138	C₂×#106	C₂²×D₄	1	2	yes	—
1139	C₂×#106	C₂²×D₄	1	2	yes	—
1140	C₂×#106	C₂²×D₄	1	4	yes	—
1141	C₂×#106	C₂²×D₄	1	2	yes	—
1142	C₂×#106	C₂²×D₄	1	2	yes	—
1143	C₂×#106	C₂²×D₄	1	4	yes	—
1144	#423	C₂²×D₄	1	8	yes	—
1145	#423	C₂²×D₄	1	8	yes	—
1146	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
1147	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
1148	C₂×C₄⋊C₈	C₂²×D₄	1	8	yes	—
1149	C₂×C₄⋊C₈	C₂⁵	1	4	yes	—
1150	C₂×C₄⋊C₈	C₂⁵	1	4	yes	—
1151	C₂×C₄⋊C₈	C₂⁵	1	2	yes	—
1152	C₂×C₄⋊C₈	C₂⁵	1	2	yes	—
1153	C₂×C₄⋊C₈	C₂⁵	1	4	yes	—
1154	C₂×#103	C₂²×D₄	1	2	yes	—
1155	C₂×#103	C₂²×D₄	1	2	yes	—
1156	C₂×#103	C₂²×D₄	1	2	yes	—
1157	C₂×#103	C₂²×D₄	1	2	yes	—
1158	C₂×#103	C₂²×D₄	1	4	yes	—
1159	C₂×#103	C₂²×D₄	1	4	yes	—
1160	C₂×#103	C₂²×D₄	1	4	yes	—
1161	C₂×#103	C₂²×D₄	1	4	yes	—
1162	C₂×#102	C₂²×D₄	1	2	yes	—
1163	C₂×#102	C₂²×D₄	1	2	yes	—
1164	C₂×#102	C₂²×D₄	1	2	yes	—
1165	C₂×#102	C₂²×D₄	1	2	yes	—
1166	C₂×#102	C₂²×D₄	1	2	yes	—
1167	C₂×#102	C₂²×D₄	1	2	yes	—
1168	C₂×#102	C₂²×D₄	1	4	yes	—
1169	C₂×#102	C₂²×D₄	1	2	yes	—
1170	C₂×#102	C₂²×D₄	1	4	yes	—
1171	C₂×#102	C₂²×D₄	1	2	yes	—
1172	C₂×#102	C₂²×D₄	1	2	yes	—
1173	C₂×#102	C₂²×D₄	1	2	yes	—
1174	C₂×#102	C₂²×D₄	1	2	yes	—
1175	C₂×#102	C₂²×D₄	1	2	yes	—
1176	C₂×#102	C₂²×D₄	1	4	yes	—
1177	C₂×#102	C₂²×D₄	1	4	yes	—
1178	C₂×#97	C₂²×D₄	1	2	yes	—
1179	C₂×#97	C₂²×D₄	1	2	yes	—
1180	C₂×#97	C₂²×D₄	1	4	yes	—
1181	C₂×#97	C₂²×D₄	1	4	yes	—
1182	C₂×#97	C₂²×D₄	1	2	yes	—
1183	C₂×#97	C₂²×D₄	1	2	yes	—
1184	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
1185	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
1186	C₂×C₄×C₈	C₂²×D₄	1	4	yes	—
1187	C₂×C₄×C₈	C₂⁵	1	4	yes	—
1188	C₂×C₄×C₈	C₂⁵	1	2	yes	—
1189	C₂×C₄×C₈	C₂⁵	1	4	yes	—
1190	C₂×C₄×C₈	C₂⁵	1	2	yes	—
1191	#384	C₂⁵	1	4	yes	—
1192	C₂⁵	D₄²	1	1	yes	characteristic
1193	C₂×#41	C₂×#120	1	8	yes	—
1194	C₂×#41	C₂×#120	1	8	yes	—
1195	C₂×#41	C₂×AGL(1,ℤ/8)	1	8	yes	—
1196	C₂²×Q₈	C₂×#120	1	4	yes	—
1197	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1198	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1199	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1200	C₂²×D₄	C₂×#120	1	4	yes	—
1201	C₂²×D₄	C₂×#120	1	4	yes	—
1202	C₂²×D₄	C₂×#120	1	4	yes	—
1203	C₂²×D₄	C₂×#120	1	4	yes	—
1204	C₂²×D₄	C₂×#120	1	4	yes	—
1205	C₂²×D₄	C₂×#120	1	4	yes	—
1206	C₂²×D₄	C₂×#120	1	4	yes	—
1207	C₂²×D₄	C₂×AGL(1,ℤ/8)	1	8	yes	—
1208	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1209	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1210	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1211	C₂²×D₄	C₂³×D₄	1	2	yes	—
1212	C₂²×D₄	C₂³×D₄	1	2	yes	—
1213	C₂²×D₄	C₂³×D₄	1	2	yes	—
1214	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1215	C₂³×C₄	C₂×#120	1	4	yes	—
1216	C₂³×C₄	C₂×#120	1	4	yes	—
1217	C₂³×C₄	#534	1	4	yes	—
1218	C₂³×C₄	D₄²	1	1	yes	characteristic
1219	C₂³×C₄	D₄²	1	1	yes	characteristic
1220	C₂³×C₄	D₄²	1	1	yes	characteristic
1221	C₂³×C₄	D₄²	1	4	yes	—
1222	C₂³×C₄	D₄²	1	1	yes	characteristic
1223	C₂³×C₄	D₄²	1	1	yes	characteristic
1224	C₂³×C₄	D₄²	1	1	yes	characteristic
1225	C₂³×C₄	D₄²	1	1	yes	characteristic
1226	C₂³×C₄	D₄²	1	1	yes	characteristic
1227	C₂³×C₄	D₄²	1	1	yes	characteristic
1228	C₂³×C₄	D₄²	1	4	yes	—
1229	C₂³×C₄	D₄²	1	4	yes	—
1230	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1231	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1232	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1233	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1234	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1235	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1236	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1237	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1238	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂×SD₁₆	C₂×AGL(1,ℤ/8)	1	16	yes	complemented
1240	C₂×D₈	C₂×AGL(1,ℤ/8)	1	16	yes	complemented
1241	C₂×D₈	#575	1	8	yes	complemented
1242	C₂×M₁₆	C₂×AGL(1,ℤ/8)	1	8	yes	—
1243	C₂²×C₈	C₂³×D₄	1	2	yes	—
1244	C₂²×C₈	C₂³×D₄	1	2	yes	—
1245	C₂²×C₈	C₂³×D₄	1	4	yes	—
1246	C₂²×C₈	C₂³×D₄	1	2	yes	—
1247	C₂²×C₈	C₂³×D₄	1	4	yes	—
1248	C₂²×C₈	C₂³×D₄	1	2	yes	—
1249	C₄⋊Q₈	C₂³×D₄	1	4	yes	—
1250	C₄⋊Q₈	C₂³×D₄	1	4	yes	—
1251	C₄⋊Q₈	C₂³×D₄	1	4	yes	—
1252	#127	C₂³×D₄	1	4	yes	—
1253	#127	C₂³×D₄	1	4	yes	—
1254	#127	C₂³×D₄	1	4	yes	—
1255	C₄×Q₈	C₂×#120	1	8	yes	—
1256	C₄×Q₈	C₂×#120	1	8	yes	—
1257	C₄×Q₈	C₂×#120	1	8	yes	—
1258	C₄×Q₈	C₂³×D₄	1	4	yes	—
1259	C₄×Q₈	C₂³×D₄	1	4	yes	—
1260	C₄×D₄	C₂×#120	1	4	yes	—
1261	C₄×D₄	C₂×#120	1	4	yes	—
1262	C₄×D₄	C₂×#120	1	4	yes	—
1263	C₄×D₄	C₂×#120	1	4	yes	—
1264	C₄×D₄	C₂×#120	1	4	yes	—
1265	C₄×D₄	C₂×#120	1	4	yes	—
1266	C₄×D₄	C₂×#120	1	4	yes	—
1267	C₄×D₄	C₂×#120	1	8	yes	—
1268	C₄×D₄	C₂×#120	1	8	yes	—
1269	C₄×D₄	C₂×#120	1	4	yes	—
1270	C₄×D₄	C₂×#120	1	4	yes	—
1271	C₄×D₄	C₂×#120	1	4	yes	—
1272	C₄×D₄	C₂×#120	1	4	yes	—
1273	C₄×D₄	C₂×#120	1	4	yes	—
1274	C₄×D₄	C₂×#120	1	8	yes	—
1275	C₄×D₄	C₂³×D₄	1	2	yes	—
1276	C₄×D₄	C₂³×D₄	1	2	yes	—
1277	C₄×D₄	C₂³×D₄	1	2	yes	—
1278	C₄×D₄	C₂³×D₄	1	2	yes	—
1279	C₄×D₄	C₂³×D₄	1	2	yes	—
1280	C₄×D₄	C₂³×D₄	1	2	yes	—
1281	C₄×D₄	C₂³×D₄	1	2	yes	—
1282	C₄×D₄	C₂³×D₄	1	2	yes	—
1283	C₄×D₄	C₂³×D₄	1	4	yes	—
1284	C₄×D₄	C₂³×D₄	1	4	yes	—
1285	#117	C₂×#120	1	8	yes	—
1286	#117	C₂×#120	1	8	yes	—
1287	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1288	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1289	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1290	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1291	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1292	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1293	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1294	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1295	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1296	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1297	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1298	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1299	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1300	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1301	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1302	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1303	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1304	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1305	C₂×C₄²	C₂×#120	1	4	yes	—
1306	C₂×C₄²	C₂×#120	1	4	yes	—
1307	C₂×C₄²	C₂×#120	1	4	yes	—
1308	C₂×C₄²	C₂×#120	1	4	yes	—
1309	C₂×C₄²	C₂×#120	1	4	yes	—
1310	C₂×C₄²	C₂×#120	1	4	yes	—
1311	C₂×C₄²	#534	1	4	yes	—
1312	C₂×C₄²	#534	1	4	yes	—
1313	C₂×C₄²	#534	1	4	yes	—
1314	C₂×C₄²	D₄²	1	1	yes	characteristic
1315	C₂×C₄²	D₄²	1	1	yes	characteristic
1316	C₂×C₄²	D₄²	1	1	yes	characteristic
1317	C₂×C₄²	D₄²	1	1	yes	characteristic
1318	C₂×C₄²	D₄²	1	1	yes	characteristic
1319	C₂×C₄²	D₄²	1	1	yes	characteristic
1320	C₂×C₄²	D₄²	1	4	yes	—
1321	C₂×C₄²	D₄²	1	4	yes	—
1322	C₂×C₄²	D₄²	1	4	yes	—
1323	C₂×C₄²	D₄²	1	4	yes	—
1324	C₂×C₄²	D₄²	1	4	yes	—
1325	C₂×C₄²	D₄²	1	4	yes	—
1326	C₂×C₄²	D₄²	1	4	yes	—
1327	C₂×C₄²	D₄²	1	4	yes	—
1328	C₂×C₄²	D₄²	1	4	yes	—
1329	C₂×C₄²	C₂³×D₄	1	2	yes	—
1330	C₂×C₄²	C₂³×D₄	1	2	yes	—
1331	C₂×C₄²	C₂³×D₄	1	2	yes	—
1332	C₂×C₄²	C₂³×D₄	1	2	yes	—
1333	C₂×C₄²	C₂³×D₄	1	2	yes	—
1334	C₂×C₄²	C₂³×D₄	1	2	yes	—
1335	C₂×C₄²	C₂³×D₄	1	2	yes	—
1336	C₂×C₄²	C₂³×D₄	1	2	yes	—
1337	C₂×C₄²	C₂³×D₄	1	2	yes	—
1338	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1339	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1340	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1341	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1342	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1343	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1344	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1345	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1346	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1347	C₂×C₄²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1348	C₂×C₄²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1349	C₂×C₄²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1350	C₂×C₄²	C₂⁶	1	1	yes	characteristic
1351	C₄⋊C₈	C₂³×D₄	1	4	yes	—
1352	C₄⋊C₈	C₂³×D₄	1	4	yes	—
1353	C₄⋊C₈	C₂³×D₄	1	8	yes	—
1354	C₂⁴	#2403	1	4	yes	—
1355	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1356	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1357	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1358	C₂×Q₈	C₂²×#120	1	4	yes	—
1359	C₂×Q₈	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1360	C₂×D₄	#3003	1	16	yes	complemented
1361	C₂×D₄	C₂²×#120	1	2	yes	—
1362	C₂×D₄	C₂²×#120	1	2	yes	—
1363	C₂×D₄	C₂²×#120	1	2	yes	—
1364	C₂×D₄	C₂²×#120	1	4	yes	—
1365	C₂×D₄	C₂²×#120	1	2	yes	—
1366	C₂×D₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1367	C₂×D₄	C₂²×AGL(1,ℤ/8)	1	8	yes	—
1368	C₂×D₄	C₂×#575	1	4	yes	—
1369	C₂×D₄	C₂×#575	1	4	yes	complemented
1370	C₂²×C₄	#2403	1	4	yes	—
1371	C₂²×C₄	#2403	1	4	yes	—
1372	C₂²×C₄	#2403	1	4	yes	—
1373	C₂²×C₄	#2403	1	4	yes	—
1374	C₂²×C₄	#2403	1	4	yes	—
1375	C₂²×C₄	#2403	1	4	yes	—
1376	C₂²×C₄	#2403	1	4	yes	—
1377	C₂²×C₄	#2403	1	4	yes	—
1378	C₂²×C₄	#2403	1	4	yes	—
1379	C₂²×C₄	C₂²×#120	1	2	yes	—
1380	C₂²×C₄	C₂²×#120	1	2	yes	—
1381	C₂²×C₄	C₂²×#120	1	2	yes	—
1382	C₂²×C₄	C₂²×#120	1	2	yes	—
1383	C₂²×C₄	C₂²×#120	1	2	yes	—
1384	C₂²×C₄	C₂²×#120	1	2	yes	—
1385	C₂²×C₄	C₂×#534	1	2	yes	—
1386	C₂²×C₄	C₂×#534	1	2	yes	—
1387	C₂²×C₄	C₂×#534	1	2	yes	—
1388	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1389	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1390	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1391	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1392	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1393	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1394	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1395	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1396	C₂²×C₄	C₂×D₄²	1	2	yes	—
1397	C₂²×C₄	C₂×D₄²	1	2	yes	—
1398	C₂²×C₄	C₂×D₄²	1	2	yes	—
1399	C₂²×C₄	C₂×D₄²	1	2	yes	—
1400	C₂²×C₄	C₂×D₄²	1	2	yes	—
1401	C₂²×C₄	C₂×D₄²	1	2	yes	—
1402	C₂²×C₄	C₂×D₄²	1	2	yes	—
1403	C₂²×C₄	C₂×D₄²	1	2	yes	—
1404	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1405	C₂²×C₄	C₂×D₄²	1	2	yes	—
1406	C₂²×C₄	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1407	C₂²×C₄	#3585	1	4	yes	—
1408	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1410	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1411	C₂×C₈	C₂²×AGL(1,ℤ/8)	1	8	yes	—
1412	C₂×C₈	C₂×#575	1	4	yes	complemented
1413	C₄⋊C₄	C₂²×#120	1	4	yes	—
1414	C₄⋊C₄	C₂²×#120	1	4	yes	—
1415	C₄⋊C₄	C₂²×#120	1	2	yes	—
1416	C₄⋊C₄	C₂²×#120	1	2	yes	—
1417	C₄⋊C₄	C₂²×#120	1	2	yes	—
1418	C₄⋊C₄	C₂²×#120	1	2	yes	—
1419	C₄²	#2403	1	4	yes	—
1420	C₄²	#2403	1	4	yes	—
1421	C₄²	#2403	1	4	yes	—
1422	C₄²	#2403	1	4	yes	—
1423	C₄²	#2403	1	4	yes	—
1424	C₄²	#2403	1	4	yes	—
1425	C₄²	C₂²×#120	1	2	yes	—
1426	C₄²	C₂²×#120	1	2	yes	—
1427	C₄²	C₂²×#120	1	2	yes	—
1428	C₄²	C₂²×#120	1	2	yes	—
1429	C₄²	C₂²×#120	1	2	yes	—
1430	C₄²	C₂²×#120	1	2	yes	—
1431	C₄²	C₂×#534	1	2	yes	—
1432	C₄²	C₂×#534	1	2	yes	—
1433	C₄²	C₂×#534	1	2	yes	—
1434	C₄²	C₂×D₄²	1	2	yes	—
1435	C₄²	C₂×D₄²	1	2	yes	—
1436	C₄²	C₂×D₄²	1	2	yes	—
1437	C₄²	C₂×D₄²	1	2	yes	—
1438	C₄²	C₂×D₄²	1	2	yes	—
1439	C₄²	C₂×D₄²	1	2	yes	—
1440	C₄²	C₂×D₄²	1	2	yes	—
1441	C₄²	C₂×D₄²	1	2	yes	—
1442	C₄²	C₂×D₄²	1	2	yes	—
1443	C₄²	C₂⁴×D₄	1	1	yes	characteristic
1444	C₄²	C₂⁴×D₄	1	1	yes	characteristic
1445	C₄²	C₂⁴×D₄	1	1	yes	characteristic
1446	C₄²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1447	C₂³	C₂×#2403	1	2	yes	—
1448	C₂³	C₂×#2403	1	2	yes	—
1449	C₂³	C₂×#2403	1	2	yes	—
1450	C₂³	D₄×AGL(1,ℤ/8)	1	4	yes	—
1451	C₂³	C₂²×D₄²	1	1	yes	characteristic
1452	D₄	C₂×#3003	1	8	yes	—
1453	D₄	#60359	1	4	yes	—
1454	C₂×C₄	C₂×#2403	1	2	yes	—
1455	C₂×C₄	C₂×#2403	1	2	yes	—
1456	C₂×C₄	C₂×#2403	1	2	yes	—
1457	C₂×C₄	C₂×#2403	1	2	yes	—
1458	C₂×C₄	C₂×#2403	1	2	yes	—
1459	C₂×C₄	C₂×#2403	1	2	yes	—
1460	C₂×C₄	C₂×#2403	1	2	yes	—
1461	C₂×C₄	C₂×#2403	1	2	yes	—
1462	C₂×C₄	C₂×#2403	1	2	yes	—
1463	C₂×C₄	C₂×#3003	1	4	yes	—
1464	C₂×C₄	#60367	1	4	yes	—
1465	C₂×C₄	D₄×AGL(1,ℤ/8)	1	4	yes	—
1466	C₂×C₄	D₄×AGL(1,ℤ/8)	1	8	yes	—
1467	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1468	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1469	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1470	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1471	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1472	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1473	C₂×C₄	C₂³×AGL(1,ℤ/8)	1	2	yes	—
1474	C₂×C₄	C₂²×#575	1	2	yes	—
1475	C₂×C₄	C₂×#3585	1	2	yes	—
1476	C₂×C₄	#63090	1	2	yes	—
1477	C₂²	#6437510	1	4	yes	—
1478	C₂²	C₂²×#2403	1	1	yes	characteristic
1479	C₂²	C₂×D₄×AGL(1,ℤ/8)	1	2	yes	—
1480	C₂²	D₄×#575	1	2	yes	—
1481	C₂²	#10576178	1	2	yes	—
1482	C₄	#6437510	1	4	yes	—
1483	C₄	C₂²×#3003	1	1	yes	characteristic
1484	C₄	C₂×#60359	1	1	yes	characteristic
1485	C₄	C₂×#60367	1	1	yes	characteristic
1486	C₄	#10574839	1	1	yes	characteristic
1487	C₄	C₂×D₄×AGL(1,ℤ/8)	1	2	yes	—
1488	C₄	D₄×#575	1	2	yes	—
1489	C₂	C₂×#6437510	1	1	yes	characteristic
1490	C₂	#72237138	1	4	yes	—
1491	C₂	#72237505	1	1	yes	characteristic
1492	C₂	#72239231	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂²×D₄²
commutator, Frattini, cosocle	C₂×C₄²	C₂⁶
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72310325	C₂	semidirect
2. #72310324	C₂	semidirect
3. #72310323	C₂	semidirect
4. #72310321	C₂	semidirect
5. #72310318	C₂	semidirect
6. C₂×#6348971	C₂	semidirect
7. #72310315	C₂	semidirect
8. #72310313	C₂	semidirect
9. #72310312	C₂	semidirect
10. #72310311	C₂	semidirect
11. #72310310	C₂	semidirect
12. #72310309	C₂	semidirect
13. #72310308	C₂	semidirect
14. #72310307	C₂	semidirect
15. #72310306	C₂	semidirect
16. #72310305	C₂	semidirect
17. #72310303	C₂	semidirect
18. #72310302	C₂	semidirect
19. #72310301	C₂	semidirect
20. #72310300	C₂	semidirect
21. #72310292	C₂	semidirect
22. #72310284	C₂	semidirect
23. #72257831	C₂	semidirect
24. C₂×#6348988	C₂	semidirect
25. #72257755	C₂	semidirect
26. #72257446	C₂	semidirect
27. C₂×D₄×#575	C₂	semidirect
28. C₂²×#61451	C₂	semidirect
29. #72224710	C₂	semidirect
30. C₂²×#3481	C₂²	semidirect
32. C₂²×D₄×#41	C₂²	semidirect
34. C₂×#61451	C₂²	semidirect
35. C₂×#61451	C₂²	semidirect
36. C₂×#61451	C₂²	semidirect
37. C₂²×#3399	C₂²	semidirect
38. C₂²×#3335	C₂²	semidirect
39. C₂²×#3373	C₂²	semidirect
40. C₂²×#3366	C₂²	semidirect
41. C₂²×#3295	C₂²	semidirect
42. C₂²×#3294	C₂²	semidirect
43. C₂²×#3384	C₂²	semidirect
44. C₂×#61070	C₂²	semidirect
45. C₂×#61070	C₂²	semidirect
47. C₂×#61067	C₂²	semidirect
48. C₂×D₄×#137	C₂²	semidirect
49. C₂×D₄×#137	C₂²	semidirect
51. C₂×D₄×AGL(1,ℤ/8)	C₂²	semidirect
52. C₂×#61038	C₂²	semidirect
53. C₂×D₄×#135	C₂²	semidirect
54. C₂²×D₄×D₈	C₂²	semidirect
55. C₂×#60803	C₂²	semidirect
56. C₂²×#3184	C₂²	semidirect
57. C₂×#60639	C₂²	semidirect
58. C₂×#60561	C₂²	semidirect
59. C₂×#60561	C₂²	semidirect
61. C₂²×#3115	C₂²	semidirect
63. C₂×#60415	C₂²	semidirect
64. C₂²×#2970	C₂²	semidirect
65. C₂²×D₄×M₁₆	C₂²	semidirect
68. #7628157	C₂²	semidirect
69. #6453998	C₂²	semidirect
70. #6453996	C₂²	semidirect
71. #6453987	C₂²	semidirect
72. #6453987	C₂²	semidirect
73. #6453909	C₂²	semidirect
74. #6453899	C₂²	semidirect
75. #6453899	C₂²	semidirect
77. #6453897	C₂²	semidirect
78. #6448821	C₂²	semidirect
79. #6448817	C₂²	semidirect
80. #6448606	C₂²	semidirect
81. #6448602	C₂²	semidirect
82. #6445477	C₂²	semidirect
83. #6445476	C₂²	semidirect
84. #6442656	C₂²	semidirect
85. #6442656	C₂²	semidirect
86. #6374676	C₂²	semidirect
87. #6372442	C₂²	semidirect
88. #6372442	C₂²	semidirect
89. #6372358	C₂²	semidirect
90. #6372358	C₂²	semidirect
91. #6370978	C₂²	semidirect
92. #6370977	C₂²	semidirect
93. C₂×#18794	C₂²	semidirect
94. C₂×#18794	C₂²	semidirect
95. C₂×#18787	C₂²	semidirect
96. C₂×#18787	C₂²	semidirect
98. C₂×#18786	C₂²	semidirect
99. C₂×#18754	C₂²	semidirect
100. C₂×#18752	C₂²	semidirect
101. C₂×#18750	C₂²	semidirect
102. C₂×#18748	C₂²	semidirect
103. C₂×#18746	C₂²	semidirect
104. C₂×#18545	C₂²	semidirect
105. C₂×#18534	C₂²	semidirect
106. C₂×#18533	C₂²	semidirect
107. C₂×#18532	C₂²	semidirect
108. C₂×#18527	C₂²	semidirect
109. C₂×#18524	C₂²	semidirect
110. C₂×#17750	C₂²	semidirect
111. C₂×#17744	C₂²	semidirect
112. C₂×#17743	C₂²	semidirect
113. C₂×#17452	C₂²	semidirect
114. C₂×#17451	C₂²	semidirect
115. C₂×#17450	C₂²	semidirect
116. C₂×#17448	C₂²	semidirect
117. #249695	C₂²	semidirect
118. #249687	C₂²	semidirect
119. #249665	C₂²	semidirect
120. #249657	C₂²	semidirect
121. #249555	C₂²	semidirect
122. #249543	C₂²	semidirect
123. #249539	C₂²	semidirect
124. #249527	C₂²	semidirect
125. #249503	C₂²	semidirect
126. #249495	C₂²	semidirect
127. #249491	C₂²	semidirect
128. #249479	C₂²	semidirect
129. #249475	C₂²	semidirect
130. #249473	C₂²	semidirect
131. #249465	C₂²	semidirect
132. #249463	C₂²	semidirect
133. #245056	C₂²	semidirect
134. #245042	C₂²	semidirect
135. #245032	C₂²	semidirect
136. #245031	C₂²	semidirect
137. #244998	C₂²	semidirect
138. #244985	C₂²	semidirect
139. #244944	C₂²	semidirect
140. #244927	C₂²	semidirect
141. #244854	C₂²	semidirect
142. #244853	C₂²	semidirect
143. #244852	C₂²	semidirect
144. #244807	C₂²	semidirect
145. #244794	C₂²	semidirect
146. #244793	C₂²	semidirect
147. #244792	C₂²	semidirect
148. #244791	C₂²	semidirect
149. #234069	C₂²	semidirect
150. #234068	C₂²	semidirect
151. #233952	C₂²	semidirect
152. #233945	C₂²	semidirect
153. #233944	C₂²	semidirect
154. #233937	C₂²	semidirect
155. #233936	C₂²	semidirect
156. #233530	C₂²	semidirect
157. #233521	C₂²	semidirect
158. #233423	C₂²	semidirect
159. #233392	C₂²	semidirect
160. #233391	C₂²	semidirect
161. #233368	C₂²	semidirect
162. #233367	C₂²	semidirect
163. #233144	C₂²	semidirect
164. #233142	C₂²	semidirect
165. #233140	C₂²	semidirect
166. #233136	C₂²	semidirect
167. #233092	C₂²	semidirect
168. #233090	C₂²	semidirect
169. #233088	C₂²	semidirect
170. #233082	C₂²	semidirect
171. #233080	C₂²	semidirect
172. #233071	C₂²	semidirect
173. #233063	C₂²	semidirect
174. #233061	C₂²	semidirect
175. #233056	C₂²	semidirect
176. #233055	C₂²	semidirect
177. #197817	C₂²	semidirect
178. #197814	C₂²	semidirect
179. #197804	C₂²	semidirect
180. #197804	C₂²	semidirect
181. #197795	C₂²	semidirect
182. #197795	C₂²	semidirect
183. #197792	C₂²	semidirect
184. #197778	C₂²	semidirect
185. #197777	C₂²	semidirect
186. #197777	C₂²	semidirect
187. #197739	C₂²	semidirect
188. #197729	C₂²	semidirect
189. #197729	C₂²	semidirect
190. #197725	C₂²	semidirect
191. #197725	C₂²	semidirect
192. #193650	C₂²	semidirect
193. #193647	C₂²	semidirect
194. #193647	C₂²	semidirect
195. #193646	C₂²	semidirect
196. #193646	C₂²	semidirect
197. #193643	C₂²	semidirect
198. #193642	C₂²	semidirect
199. #193640	C₂²	semidirect
200. #193640	C₂²	semidirect
201. #193556	C₂²	semidirect
202. #193556	C₂²	semidirect
203. #193555	C₂²	semidirect
204. #193537	C₂²	semidirect
205. #193537	C₂²	semidirect
206. #193537	C₂²	semidirect
207. #186694	C₂²	semidirect
208. #186694	C₂²	semidirect
209. #186638	C₂²	semidirect
210. #186638	C₂²	semidirect
211. #186617	C₂²	semidirect
212. #186616	C₂²	semidirect
213. #186615	C₂²	semidirect
214. #186614	C₂²	semidirect
215. #181772	C₂²	semidirect
216. #181434	C₂²	semidirect
217. #181433	C₂²	semidirect
218. #180855	C₂²	semidirect
222. C₂×#3481	C₂³	semidirect
223. C₂²×#559	C₂³	semidirect
224. C₂²×#554	C₂³	semidirect
225. C₂²×#554	C₂³	semidirect
226. C₂×D₄×#41	D₄	semidirect
233. C₂×D₄×#41	C₂³	semidirect
234. C₂×D₄×#41	C₂³	semidirect
236. C₂²×#550	C₂³	semidirect
238. C₂²×#547	C₂³	semidirect
240. C₂²×D₄×Q₈	C₂³	semidirect
242. C₂²×D₄²	C₂³	semidirect
243. C₂²×D₄²	C₂³	semidirect
252. C₂×#3399	C₂³	semidirect
254. C₂×#3384	C₂³	semidirect
256. C₂×#3373	C₂³	semidirect
258. C₂×#3366	C₂³	semidirect
260. C₂×#3335	C₂³	semidirect
262. C₂×#3295	C₂³	semidirect
264. C₂×#3294	C₂³	semidirect
265. C₂×#3287	C₂³	semidirect
266. C₂×D₄×Q₁₆	C₂³	semidirect
268. C₂×#3284	C₂³	semidirect
271. C₂×D₄×SD₁₆	C₂³	semidirect
274. C₂×D₄×D₈	C₂³	semidirect
275. C₂×#3278	C₂³	semidirect
276. C₂×#3278	C₂³	semidirect
278. C₂×#3276	C₂³	semidirect
280. C₂×#3274	C₂³	semidirect
283. C₂×#3207	C₂³	semidirect
287. C₂×#3184	C₂³	semidirect
288. C₂²×#498	C₂³	semidirect
290. C₂×#3152	C₂³	semidirect
292. C₂×#3151	C₂³	semidirect
293. C₂×#3151	C₂³	semidirect
294. C₂×#3147	C₂³	semidirect
295. C₂²×#493	C₂³	semidirect
296. C₂×#3141	C₂³	semidirect
297. C₂²×#486	C₂³	semidirect
298. C₂²×#486	C₂³	semidirect
299. C₂×#3112	C₂³	semidirect
300. C₂×#3109	D₄	semidirect
305. C₂×#3109	C₂³	semidirect
307. C₂×#3115	C₂³	semidirect
308. C₂×#3115	C₂³	semidirect
309. C₂×#3106	C₂³	semidirect
313. C₂×#3079	C₂³	semidirect
314. C₂²×#475	C₂³	semidirect
317. C₂²×#474	C₂³	semidirect
318. #60415	D₄	semidirect
324. C₂×#3038	C₂³	semidirect
326. C₂×#3037	C₂³	semidirect
328. C₂×#3036	C₂³	semidirect
330. C₂×#3035	C₂³	semidirect
331. C₂²×#460	C₂³	semidirect
334. C₂²×#459	C₂³	semidirect
336. C₂×#2970	C₂³	semidirect
337. C₂²×#446	C₂³	semidirect
338. C₂²×#446	C₂³	semidirect
367. C₂×D₄×M₁₆	C₂³	semidirect
368. C₂×D₄×M₁₆	C₂³	semidirect
369. C₂²×#436	C₂³	semidirect
370. C₂²×C₈×D₄	C₂³	semidirect
371. C₂²×C₈×D₄	C₂³	semidirect
372. C₂²×C₈×D₄	C₂³	semidirect
386. #34976	C₂³	semidirect
388. #34952	C₂³	semidirect
390. #34935	C₂³	semidirect
392. #24331	C₂³	semidirect
393. #24330	C₂³	semidirect
394. #24330	C₂³	semidirect
395. #24327	C₂³	semidirect
397. #24326	C₂³	semidirect
398. #24240	C₂³	semidirect
399. #24240	C₂³	semidirect
400. #24240	C₂³	semidirect
402. #24236	C₂³	semidirect
403. #24236	C₂³	semidirect
404. #24190	C₂³	semidirect
405. #24188	C₂³	semidirect
406. #24188	C₂³	semidirect
407. #24186	C₂³	semidirect
409. #24184	C₂³	semidirect
410. #24122	C₂³	semidirect
411. #24120	C₂³	semidirect
412. #24120	C₂³	semidirect
413. #24118	C₂³	semidirect
415. #24116	C₂³	semidirect
416. #21863	C₂³	semidirect
417. #21833	C₂³	semidirect
418. #21803	C₂³	semidirect
419. #21410	C₂³	semidirect
420. #21410	C₂³	semidirect
421. #21410	C₂³	semidirect
424. #21401	C₂³	semidirect
425. #21380	C₂³	semidirect
426. #21380	C₂³	semidirect
429. #21373	C₂³	semidirect
430. #21324	C₂³	semidirect
431. #21324	C₂³	semidirect
432. #21303	C₂³	semidirect
433. #21303	C₂³	semidirect
434. #21203	C₂³	semidirect
435. #21203	C₂³	semidirect
436. #21190	C₂³	semidirect
437. #21190	C₂³	semidirect
439. #20738	C₂³	semidirect
440. #20738	C₂³	semidirect
441. #20737	C₂³	semidirect
444. #20647	C₂³	semidirect
445. #20646	C₂³	semidirect
446. #20646	C₂³	semidirect
447. #20646	C₂³	semidirect
448. C₂×#1631	C₂³	semidirect
449. C₂×#1631	C₂³	semidirect
451. C₂×#1621	C₂³	semidirect
452. C₂×#1637	C₂³	semidirect
453. C₂×#1637	C₂³	semidirect
455. C₂×#1627	C₂³	semidirect
456. C₂×#1635	C₂³	semidirect
457. C₂×#1635	C₂³	semidirect
459. C₂×#1625	C₂³	semidirect
460. C₂×#1640	C₂³	semidirect
461. C₂×#1644	C₂³	semidirect
462. C₂×#1643	C₂³	semidirect
463. C₂×#1639	C₂³	semidirect
464. C₂×#1620	C₂³	semidirect
465. C₂×#1622	C₂³	semidirect
466. C₂×#1622	C₂³	semidirect
467. C₂×#1629	C₂³	semidirect
468. C₂×#1629	C₂³	semidirect
470. C₂×#1619	C₂³	semidirect
471. C₂×#1619	C₂³	semidirect
472. C₂×#1560	C₂³	semidirect
473. C₂×#1557	C₂³	semidirect
474. C₂×#1556	C₂³	semidirect
475. C₂×#1555	C₂³	semidirect
476. C₂×#1553	C₂³	semidirect
477. C₂×#1553	C₂³	semidirect
478. C₂×#1551	C₂³	semidirect
479. C₂×#1548	C₂³	semidirect
482. C₂×#1546	C₂³	semidirect
483. C₂×#1545	C₂³	semidirect
484. C₂×#1545	C₂³	semidirect
486. C₂×#1489	C₂³	semidirect
487. C₂×#1491	C₂³	semidirect
488. C₂×#1490	C₂³	semidirect
489. C₂×#1490	C₂³	semidirect
490. C₂×#1490	C₂³	semidirect
491. C₂×#1488	C₂³	semidirect
492. C₂×#1488	C₂³	semidirect
493. C₂×#1487	C₂³	semidirect
496. C₂×#1486	C₂³	semidirect
499. C₂×#1477	C₂³	semidirect
500. C₂×#1479	C₂³	semidirect
501. C₂×#1478	C₂³	semidirect
502. C₂×#1478	C₂³	semidirect
503. C₂×#1478	C₂³	semidirect
504. #10318	C₂³	semidirect
505. #10315	C₂³	semidirect
506. #10310	C₂³	semidirect
507. #10306	C₂³	semidirect
508. #10305	C₂³	semidirect
509. #10305	C₂³	semidirect
510. #10305	C₂³	semidirect
511. #10304	C₂³	semidirect
512. #10276	C₂³	semidirect
513. #10274	C₂³	semidirect
514. #10273	C₂³	semidirect
515. #10271	C₂³	semidirect
516. #10269	C₂³	semidirect
517. #10268	C₂³	semidirect
518. #10268	C₂³	semidirect
519. #10267	C₂³	semidirect
520. #10266	C₂³	semidirect
521. #10266	C₂³	semidirect
522. #10263	C₂³	semidirect
523. #10262	C₂³	semidirect
524. #10262	C₂³	semidirect
525. #10261	C₂³	semidirect
526. #10260	C₂³	semidirect
527. #10260	C₂³	semidirect
528. #10234	C₂³	semidirect
529. #10233	C₂³	semidirect
530. #10232	C₂³	semidirect
531. #10231	C₂³	semidirect
532. #10230	C₂³	semidirect
533. #10229	C₂³	semidirect
534. #10229	C₂³	semidirect
535. #10228	C₂³	semidirect
536. #9230	C₂³	semidirect
537. #9230	C₂³	semidirect
538. #9229	C₂³	semidirect
539. #9229	C₂³	semidirect
540. #9226	C₂³	semidirect
541. #9226	C₂³	semidirect
542. #9223	C₂³	semidirect
543. #9223	C₂³	semidirect
545. #9221	C₂³	semidirect
546. #9221	C₂³	semidirect
547. #9221	C₂³	semidirect
548. #9217	C₂³	semidirect
549. #9217	C₂³	semidirect
550. #9215	C₂³	semidirect
551. #9215	C₂³	semidirect
552. #8952	C₂³	semidirect
553. #8952	C₂³	semidirect
554. #8951	C₂³	semidirect
555. #8951	C₂³	semidirect
556. #8950	C₂³	semidirect
557. #8950	C₂³	semidirect
558. #8949	C₂³	semidirect
559. #8949	C₂³	semidirect
561. #8947	C₂³	semidirect
562. #8947	C₂³	semidirect
563. #8947	C₂³	semidirect
564. #8945	C₂³	semidirect
565. #8945	C₂³	semidirect
566. #8945	C₂³	semidirect
567. #8945	C₂³	semidirect
568. #8447	C₂³	semidirect
569. #8447	C₂³	semidirect
571. #8446	C₂³	semidirect
572. #8444	C₂³	semidirect
573. #8444	C₂³	semidirect
575. #8443	C₂³	semidirect
576. #8045	C₂³	semidirect
577. #8045	C₂³	semidirect
578. #8044	C₂³	semidirect
579. #8042	C₂³	semidirect
580. #7876	C₂³	semidirect
581. #7876	C₂³	semidirect
582. #7875	C₂³	semidirect
583. #7874	C₂³	semidirect
584. #7874	C₂³	semidirect
585. #7873	C₂³	semidirect
586. #7873	C₂³	semidirect
587. #7873	C₂³	semidirect
588. #7852	C₂³	semidirect
589. #7848	C₂³	semidirect
590. #7848	C₂³	semidirect
591. #7848	C₂³	semidirect
959. C₂×AGL(1,ℤ/8)	AGL(1,ℤ/8)	semidirect
1239. C₂×SD₁₆	C₂×AGL(1,ℤ/8)	semidirect
1240. C₂×D₈	C₂×AGL(1,ℤ/8)	semidirect
1241. C₂×D₈	#575	semidirect
1360. C₂×D₄	#3003	semidirect
1369. C₂×D₄	C₂×#575	semidirect
1412. C₂×C₈	C₂×#575	semidirect

Maximal subgroups

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

subgroup	index
#72310325	2
#72310324	2
#72310323	2
#72310321	2
#72310318	2
C₂×#6348971	2
#72310315	2
#72310313	2
#72310312	2
#72310311	2
#72310310	2
#72310309	2
#72310308	2
#72310307	2
#72310306	2
#72310305	2
#72310303	2
#72310302	2
#72310301	2
#72310300	2
#72310292	2
#72310284	2
#72257831	2
C₂×#6348988	2
#72257755	2
#72257446	2
C₂×D₄×#575	2
C₂²×#61451	2
#72224710	2