Subgroups — C₂²×#62994 #72301082

Order 1024.

475285 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62994	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3511	C₂	1	3	yes	maximal, complemented
3	C₂²×#3494	C₂	1	6	yes	maximal, complemented
4	C₂²×#3503	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#3488	C₂	1	2	yes	maximal, complemented
6	C₂²×#3524	C₂	1	4	yes	maximal, complemented
7	C₂²×#3518	C₂	1	2	yes	maximal, complemented
8	C₂²×#3514	C₂	1	12	yes	maximal, complemented
9	C₂²×#3493	C₂	1	6	yes	maximal, complemented
10	C₂²×#3519	C₂	1	6	yes	maximal, complemented
11	C₂²×#3506	C₂	1	3	yes	maximal, complemented
12	C₂²×#3483	C₂	1	2	yes	maximal, complemented
13	C₂²×#3475	C₂	1	3	yes	maximal, complemented
14	C₂²×#3475	C₂	1	6	yes	maximal, complemented
15	C₂³×#555	C₂	1	3	yes	maximal, complemented
16	C₂²×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#3428	C₂	1	2	yes	maximal, complemented
19	C₂³×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
20	C₂⁴×#41	C₂²	1	2	yes	—
21	#62994	C₂²	1	4096	yes	direct product factor
22	C₂×#3511	C₂²	1	288	yes	complemented
23	C₂×#3494	C₂²	1	576	yes	complemented
24	C₂×#3503	C₂²	1	96	yes	complemented
25	C₂×#3488	C₂²	1	192	yes	complemented
26	C₂×#3524	C₂²	1	384	yes	complemented
27	C₂×#3518	C₂²	1	192	yes	complemented
28	C₂×#3514	C₂²	1	1152	yes	complemented
29	C₂×#3493	C₂²	1	576	yes	complemented
30	C₂×#3519	C₂²	1	576	yes	complemented
31	C₂×#3506	C₂²	1	288	yes	complemented
32	C₂×#3483	C₂²	1	192	yes	complemented
33	C₂²×Q₈²	C₂²	1	2	yes	complemented
34	C₂²×#559	C₂²	1	12	yes	complemented
35	C₂²×#557	C₂²	1	2	yes	complemented
36	C₂×#3475	C₂²	1	288	yes	complemented
37	C₂×#3475	C₂²	1	576	yes	complemented
38	C₂²×#555	C₂²	1	3	yes	complemented
39	C₂²×#555	C₂²	1	6	yes	complemented
40	C₂²×#555	C₂²	1	6	yes	complemented
41	C₂²×#555	C₂²	1	6	yes	complemented
42	C₂²×#555	C₂²	1	12	yes	complemented
43	C₂²×#555	C₂²	1	12	yes	complemented
44	C₂²×#555	C₂²	1	12	yes	complemented
45	C₂²×#555	C₂²	1	288	yes	complemented
46	C₂²×#556	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#556	C₂²	1	6	yes	complemented
48	C₂²×#556	C₂²	1	6	yes	complemented
49	C₂²×#556	C₂²	1	12	yes	complemented
50	C₂²×#553	C₂²	1	12	yes	complemented
51	C₂²×#553	C₂²	1	6	yes	complemented
52	C₂²×#553	C₂²	1	12	yes	complemented
53	C₂²×#553	C₂²	1	12	yes	complemented
54	C₂²×#552	C₂²	1	6	yes	complemented
55	C₂²×#552	C₂²	1	6	yes	complemented
56	C₂²×#552	C₂²	1	12	yes	complemented
57	C₂²×#551	C₂²	1	12	yes	complemented
58	C₂²×#551	C₂²	1	24	yes	complemented
59	C₂²×#554	C₂²	1	6	yes	complemented
60	C₂²×#554	C₂²	1	3	yes	complemented
61	C₂×D₄×#41	C₂²	1	96	yes	complemented
62	C₂²×#550	C₂²	1	1	yes	characteristic, complemented
63	C₂²×#550	C₂²	1	6	yes	complemented
64	C₂²×#550	C₂²	1	4	yes	complemented
65	C₂²×#547	C₂²	1	3	yes	complemented
66	C₂²×#547	C₂²	1	3	yes	complemented
67	C₂²×#547	C₂²	1	6	yes	complemented
68	C₂²×#548	C₂²	1	2	yes	complemented
69	C₂²×#548	C₂²	1	12	yes	complemented
70	C₂²×#548	C₂²	1	4	yes	complemented
71	C₂²×#546	C₂²	1	6	yes	complemented
72	C₂²×#546	C₂²	1	6	yes	complemented
73	C₂²×#546	C₂²	1	12	yes	complemented
74	C₂²×#546	C₂²	1	24	yes	complemented
75	C₂²×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂²×D₄×Q₈	C₂²	1	6	yes	complemented
77	C₂²×D₄²	C₂²	1	3	yes	complemented
78	C₂²×D₄²	C₂²	1	12	yes	complemented
79	C₂²×#542	C₂²	1	12	yes	complemented
80	C₂²×#542	C₂²	1	12	yes	complemented
81	C₂²×#540	C₂²	1	12	yes	complemented
82	C₂²×#544	C₂²	1	6	yes	complemented
83	C₂²×#537	C₂²	1	6	yes	complemented
84	C₂²×#535	C₂²	1	6	yes	complemented
85	C₂²×#538	C₂²	1	12	yes	complemented
86	C₂²×#538	C₂²	1	24	yes	complemented
87	C₂²×#533	C₂²	1	3	yes	complemented
88	C₂²×#533	C₂²	1	6	yes	complemented
89	C₂²×#532	C₂²	1	3	yes	complemented
90	C₂²×#532	C₂²	1	6	yes	complemented
91	C₂²×#532	C₂²	1	12	yes	complemented
92	C₂³×C₄⋊Q₈	C₂²	1	3	yes	complemented
93	C₂²×#529	C₂²	1	6	yes	complemented
94	C₂²×#529	C₂²	1	24	yes	complemented
95	C₂²×#529	C₂²	1	12	yes	complemented
96	C₂²×#529	C₂²	1	12	yes	complemented
97	C₂³×#124	C₂²	1	12	yes	complemented
98	C₂²×#525	C₂²	1	6	yes	complemented
99	C₂²×#525	C₂²	1	12	yes	complemented
100	C₂²×#525	C₂²	1	6	yes	complemented
101	C₂³×#121	C₂²	1	6	yes	complemented
102	C₂³×#121	C₂²	1	6	yes	complemented
103	C₂×C₄×H(5,𝔽₂)	C₂²	1	96	yes	complemented
104	C₂×#3428	C₂²	1	192	yes	complemented
105	C₂²×#520	C₂²	1	1	yes	characteristic
106	C₂²×#520	C₂²	1	2	yes	—
107	C₂²×#520	C₂²	1	6	yes	complemented
108	C₂²×#520	C₂²	1	6	yes	complemented
109	C₂²×#520	C₂²	1	3	yes	complemented
110	C₂²×#520	C₂²	1	2	yes	complemented
111	C₂²×#519	C₂²	1	4	yes	complemented
112	C₂²×#518	C₂²	1	12	yes	complemented
113	C₂²×#518	C₂²	1	6	yes	complemented
114	C₂²×#518	C₂²	1	3	yes	complemented
115	C₂²×C₄×#41	C₂²	1	1	yes	characteristic
116	C₂²×C₄×#41	C₂²	1	12	yes	complemented
117	C₂²×C₄×#41	C₂²	1	4	yes	complemented
118	C₂²×C₄×#41	C₂²	1	3	yes	complemented
119	C₂²×C₄×#41	C₂²	1	2	yes	complemented
120	C₂²×C₄×#41	C₂²	1	6	yes	complemented
121	C₂³×C₄×D₄	C₂²	1	3	yes	complemented
122	C₂³×C₄×D₄	C₂²	1	6	yes	complemented
123	C₂³×C₄×D₄	C₂²	1	3	yes	complemented
124	C₂³×#117	C₂²	1	6	yes	complemented
125	C₂³×#117	C₂²	1	6	yes	complemented
126	C₂³×#117	C₂²	1	6	yes	complemented
127	C₂²×H(5,𝔽₂)	—	2	32	no	—
128	C₂²×H(5,𝔽₂)	C₂³	1	48	yes	—
129	C₂³×#41	—	2	64	no	—
130	C₂³×#41	C₂³	1	96	yes	—
131	C₂³×#41	C₂³	1	6	yes	—
132	C₂³×#41	C₂³	1	2	yes	—
133	C₂³×#41	C₂³	1	6	yes	—
134	C₂³×#41	C₂³	1	3	yes	—
135	C₂³×#41	C₂³	1	2	yes	—
136	C₂³×#41	C₂³	1	6	yes	—
137	C₂³×#41	C₂³	1	12	yes	—
138	C₂³×#41	C₂³	1	1	yes	characteristic
139	C₂⁴×Q₈	C₂³	1	2	yes	—
140	C₂⁴×Q₈	C₂³	1	6	yes	—
141	C₂⁴×D₄	C₂³	1	6	yes	—
142	C₂⁴×D₄	C₂³	1	3	yes	—
143	C₂⁴×D₄	C₂³	1	6	yes	—
144	C₂⁴×D₄	C₂³	1	3	yes	—
145	C₂⁴×D₄	C₂³	1	12	yes	—
146	C₂⁵×C₄	C₂³	1	6	yes	—
147	C₂⁵×C₄	C₂³	1	6	yes	—
148	#3524	C₂³	1	4096	yes	complemented
149	#3519	C₂³	1	6144	yes	complemented
150	#3518	C₂³	1	2048	yes	complemented
151	#3514	C₂³	1	12288	yes	complemented
152	#3511	C₂³	1	3072	yes	complemented
153	#3506	C₂³	1	3072	yes	complemented
154	#3503	C₂³	1	1024	yes	complemented
155	#3494	C₂³	1	6144	yes	complemented
156	#3493	C₂³	1	6144	yes	complemented
157	#3488	C₂³	1	2048	yes	complemented
158	#3483	C₂³	1	2048	yes	complemented
159	C₂×#559	C₂³	1	576	yes	complemented
160	C₂×Q₈²	C₂³	1	96	yes	complemented
161	C₂×#557	C₂³	1	96	yes	complemented
162	#3475	C₂³	1	3072	yes	complemented
163	#3475	C₂³	1	6144	yes	complemented
164	C₂×#556	C₂³	1	288	yes	complemented
165	C₂×#556	C₂³	1	288	yes	complemented
166	C₂×#556	C₂³	1	576	yes	complemented
167	C₂×#556	C₂³	1	48	yes	complemented
168	C₂×#555	C₂³	1	288	yes	complemented
169	C₂×#555	C₂³	1	288	yes	complemented
170	C₂×#555	C₂³	1	576	yes	complemented
171	C₂×#555	C₂³	1	576	yes	complemented
172	C₂×#555	C₂³	1	576	yes	complemented
173	C₂×#555	C₂³	1	144	yes	complemented
174	C₂×#555	C₂³	1	288	yes	complemented
175	C₂×#555	C₂³	1	3072	yes	complemented
176	C₂×#554	C₂³	1	288	yes	complemented
177	C₂×#554	C₂³	1	144	yes	complemented
178	C₂×#553	C₂³	1	576	yes	complemented
179	C₂×#553	C₂³	1	576	yes	complemented
180	C₂×#553	C₂³	1	576	yes	complemented
181	C₂×#553	C₂³	1	288	yes	complemented
182	C₂×#552	C₂³	1	288	yes	complemented
183	C₂×#552	C₂³	1	576	yes	complemented
184	C₂×#552	C₂³	1	288	yes	complemented
185	C₂×#551	C₂³	1	576	yes	complemented
186	C₂×#551	C₂³	1	1152	yes	complemented
187	D₄×#41	C₂³	1	1024	yes	complemented
188	C₂×#550	C₂³	1	288	yes	complemented
189	C₂×#550	C₂³	1	192	yes	complemented
190	C₂×#550	C₂³	1	48	yes	complemented
191	C₂×D₄×Q₈	C₂³	1	288	yes	complemented
192	C₂×D₄×Q₈	C₂³	1	48	yes	complemented
193	C₂×#548	C₂³	1	576	yes	complemented
194	C₂×#548	C₂³	1	192	yes	complemented
195	C₂×#548	C₂³	1	96	yes	complemented
196	C₂×#547	C₂³	1	144	yes	complemented
197	C₂×#547	C₂³	1	288	yes	complemented
198	C₂×#547	C₂³	1	144	yes	complemented
199	C₂×#546	C₂³	1	288	yes	complemented
200	C₂×#546	C₂³	1	1152	yes	complemented
201	C₂×#546	C₂³	1	288	yes	complemented
202	C₂×#546	C₂³	1	576	yes	complemented
203	C₂×D₄²	C₂³	1	144	yes	complemented
204	C₂×D₄²	C₂³	1	576	yes	complemented
205	C₂×#544	C₂³	1	288	yes	complemented
206	C₂×#542	C₂³	1	576	yes	complemented
207	C₂×#542	C₂³	1	576	yes	complemented
208	C₂×#540	C₂³	1	576	yes	complemented
209	C₂×#538	C₂³	1	576	yes	complemented
210	C₂×#538	C₂³	1	1152	yes	complemented
211	C₂×#537	C₂³	1	288	yes	complemented
212	C₂×#535	C₂³	1	288	yes	complemented
213	C₂×#533	C₂³	1	144	yes	complemented
214	C₂×#533	C₂³	1	288	yes	complemented
215	C₂×#532	C₂³	1	144	yes	complemented
216	C₂×#532	C₂³	1	288	yes	complemented
217	C₂×#532	C₂³	1	576	yes	complemented
218	C₂²×C₄⋊Q₈	C₂³	1	3	yes	—
219	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
220	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
221	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
222	C₂²×C₄⋊Q₈	C₂³	1	3	yes	—
223	C₂²×C₄⋊Q₈	C₂³	1	12	yes	—
224	C₂²×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂²×C₄⋊Q₈	C₂³	1	144	yes	complemented
226	C₂²×#127	C₂³	1	3	yes	—
227	C₂²×#127	C₂³	1	12	yes	—
228	C₂×#529	C₂³	1	288	yes	complemented
229	C₂×#529	C₂³	1	1152	yes	complemented
230	C₂×#529	C₂³	1	576	yes	complemented
231	C₂×#529	C₂³	1	576	yes	complemented
232	C₂²×#126	C₂³	1	4	yes	—
233	C₂²×#126	C₂³	1	12	yes	—
234	C₂²×#126	C₂³	1	12	yes	—
235	C₂²×#126	C₂³	1	24	yes	—
236	C₂²×#126	C₂³	1	24	yes	—
237	C₂²×#125	C₂³	1	12	yes	—
238	C₂²×#125	C₂³	1	6	yes	—
239	C₂²×#125	C₂³	1	12	yes	—
240	C₂²×#125	C₂³	1	6	yes	—
241	C₂²×#124	C₂³	1	12	yes	—
242	C₂²×#124	C₂³	1	24	yes	—
243	C₂²×#124	C₂³	1	24	yes	—
244	C₂²×#124	C₂³	1	24	yes	—
245	C₂²×#124	C₂³	1	2	yes	—
246	C₂²×#124	C₂³	1	12	yes	—
247	C₂²×#124	C₂³	1	12	yes	—
248	C₂²×#124	C₂³	1	6	yes	—
249	C₂²×#124	C₂³	1	576	yes	complemented
250	C₂×#525	C₂³	1	576	yes	complemented
251	C₂×#525	C₂³	1	288	yes	complemented
252	C₂×#525	C₂³	1	288	yes	complemented
253	C₂²×#123	C₂³	1	12	yes	—
254	C₂²×#123	C₂³	1	12	yes	—
255	C₂²×#123	C₂³	1	24	yes	—
256	C₂²×#123	C₂³	1	12	yes	—
257	C₂²×#123	C₂³	1	12	yes	—
258	C₂²×#123	C₂³	1	24	yes	—
259	C₂²×#123	C₂³	1	12	yes	—
260	C₂²×C₂²⋊Q₈	C₂³	1	2	yes	—
261	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
262	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
263	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
264	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
265	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
266	C₂²×C₂²⋊Q₈	C₂³	1	24	yes	—
267	C₂²×C₂²⋊Q₈	C₂³	1	12	yes	—
268	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
269	C₂²×C₂²⋊Q₈	C₂³	1	12	yes	—
270	C₂²×C₂²⋊Q₈	C₂³	1	12	yes	—
271	C₂²×#121	C₂³	1	6	yes	—
272	C₂²×#121	C₂³	1	6	yes	—
273	C₂²×#121	C₂³	1	12	yes	—
274	C₂²×#121	C₂³	1	12	yes	—
275	C₂²×#121	C₂³	1	24	yes	—
276	C₂²×#121	C₂³	1	12	yes	—
277	C₂²×#121	C₂³	1	12	yes	—
278	C₂²×#121	C₂³	1	6	yes	—
279	C₂²×#121	C₂³	1	6	yes	—
280	C₂²×#121	C₂³	1	6	yes	—
281	C₂²×#121	C₂³	1	6	yes	—
282	C₂²×#121	C₂³	1	24	yes	—
283	C₂²×#121	C₂³	1	12	yes	—
284	C₂²×#121	C₂³	1	6	yes	—
285	C₂²×#121	C₂³	1	24	yes	—
286	C₂²×#121	C₂³	1	12	yes	—
287	C₂²×#121	C₂³	1	288	yes	complemented
288	C₂²×#121	C₂³	1	288	yes	complemented
289	C₂²×#120	C₂³	1	12	yes	—
290	C₂²×#120	C₂³	1	12	yes	—
291	C₂²×#120	C₂³	1	24	yes	—
292	C₄×H(5,𝔽₂)	C₂³	1	1024	yes	complemented
293	#3428	C₂³	1	2048	yes	complemented
294	C₂×#520	C₂³	1	96	yes	—
295	C₂×#520	C₂³	1	48	yes	—
296	C₂×#520	C₂³	1	288	yes	complemented
297	C₂×#520	C₂³	1	144	yes	complemented
298	C₂×#520	C₂³	1	96	yes	complemented
299	C₂×#520	C₂³	1	288	yes	complemented
300	C₂×#519	C₂³	1	192	yes	complemented
301	C₂×#518	C₂³	1	576	yes	complemented
302	C₂×#518	C₂³	1	288	yes	complemented
303	C₂×#518	C₂³	1	144	yes	complemented
304	C₂×C₄×#41	C₂³	1	48	yes	—
305	C₂×C₄×#41	C₂³	1	576	yes	complemented
306	C₂×C₄×#41	C₂³	1	96	yes	complemented
307	C₂×C₄×#41	C₂³	1	192	yes	complemented
308	C₂×C₄×#41	C₂³	1	144	yes	complemented
309	C₂×C₄×#41	C₂³	1	288	yes	complemented
310	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
311	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
312	C₂²×C₄×Q₈	C₂³	1	2	yes	—
313	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
314	C₂²×C₄×Q₈	C₂³	1	2	yes	—
315	C₂²×C₄×Q₈	C₂³	1	4	yes	—
316	C₂²×C₄×Q₈	C₂³	1	12	yes	—
317	C₂²×C₄×Q₈	C₂³	1	12	yes	—
318	C₂²×C₄×Q₈	C₂³	1	3	yes	—
319	C₂²×C₄×Q₈	C₂³	1	6	yes	—
320	C₂²×C₄×Q₈	C₂³	1	6	yes	—
321	C₂²×C₄×Q₈	C₂³	1	12	yes	—
322	C₂²×C₄×D₄	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₄	C₂³	1	3	yes	—
324	C₂²×C₄×D₄	C₂³	1	6	yes	—
325	C₂²×C₄×D₄	C₂³	1	3	yes	—
326	C₂²×C₄×D₄	C₂³	1	6	yes	—
327	C₂²×C₄×D₄	C₂³	1	6	yes	—
328	C₂²×C₄×D₄	C₂³	1	3	yes	—
329	C₂²×C₄×D₄	C₂³	1	12	yes	—
330	C₂²×C₄×D₄	C₂³	1	6	yes	—
331	C₂²×C₄×D₄	C₂³	1	6	yes	—
332	C₂²×C₄×D₄	C₂³	1	6	yes	—
333	C₂²×C₄×D₄	C₂³	1	6	yes	—
334	C₂²×C₄×D₄	C₂³	1	3	yes	—
335	C₂²×C₄×D₄	C₂³	1	6	yes	—
336	C₂²×C₄×D₄	C₂³	1	3	yes	—
337	C₂²×C₄×D₄	C₂³	1	3	yes	—
338	C₂²×C₄×D₄	C₂³	1	6	yes	—
339	C₂²×C₄×D₄	C₂³	1	6	yes	—
340	C₂²×C₄×D₄	C₂³	1	3	yes	—
341	C₂²×C₄×D₄	C₂³	1	12	yes	—
342	C₂²×C₄×D₄	C₂³	1	24	yes	—
343	C₂²×C₄×D₄	C₂³	1	12	yes	—
344	C₂²×C₄×D₄	C₂³	1	24	yes	—
345	C₂²×C₄×D₄	C₂³	1	12	yes	—
346	C₂²×C₄×D₄	C₂³	1	12	yes	—
347	C₂²×C₄×D₄	C₂³	1	6	yes	—
348	C₂²×C₄×D₄	C₂³	1	12	yes	—
349	C₂²×C₄×D₄	C₂³	1	6	yes	—
350	C₂²×C₄×D₄	C₂³	1	12	yes	—
351	C₂²×C₄×D₄	C₂³	1	24	yes	—
352	C₂²×C₄×D₄	C₂³	1	144	yes	complemented
353	C₂²×C₄×D₄	C₂³	1	288	yes	complemented
354	C₂²×C₄×D₄	C₂³	1	144	yes	complemented
355	C₂²×#117	C₂³	1	6	yes	—
356	C₂²×#117	C₂³	1	2	yes	—
357	C₂²×#117	C₂³	1	3	yes	—
358	C₂²×#117	C₂³	1	6	yes	—
359	C₂²×#117	C₂³	1	12	yes	—
360	C₂²×#117	C₂³	1	12	yes	—
361	C₂²×#117	C₂³	1	12	yes	—
362	C₂²×#117	C₂³	1	12	yes	—
363	C₂²×#117	C₂³	1	6	yes	—
364	C₂²×#117	C₂³	1	12	yes	—
365	C₂²×#117	C₂³	1	12	yes	—
366	C₂²×#117	C₂³	1	24	yes	—
367	C₂²×#117	C₂³	1	3	yes	—
368	C₂²×#117	C₂³	1	6	yes	—
369	C₂²×#117	C₂³	1	6	yes	—
370	C₂²×#117	C₂³	1	12	yes	—
371	C₂²×#117	C₂³	1	288	yes	complemented
372	C₂²×#117	C₂³	1	288	yes	complemented
373	C₂²×#117	C₂³	1	288	yes	complemented
374	C₂³×C₄⋊C₄	C₂³	1	3	yes	—
375	C₂³×C₄⋊C₄	C₂³	1	3	yes	—
376	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
377	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
378	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
379	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
380	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
381	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
382	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
383	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
384	C₂³×C₂²⋊C₄	C₂³	1	6	yes	—
385	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
386	C₂³×C₂²⋊C₄	C₂³	1	6	yes	—
387	C₂³×C₄²	C₂³	1	12	yes	—
388	C₂³×C₄²	C₂³	1	12	yes	—
389	C₂³×C₄²	C₂³	1	3	yes	—
390	C₂³×C₄²	C₂³	1	6	yes	—
391	C₂⁶	C₂⁴	1	6	yes	—
392	C₂⁶	C₂⁴	1	6	yes	—
393	C₂×H(5,𝔽₂)	—	2	768	no	—
394	C₂×H(5,𝔽₂)	C₂⁴	1	256	yes	—
395	C₂²×#41	—	2	1536	no	—
396	C₂²×#41	—	2	32	no	—
397	C₂²×#41	—	2	32	no	—
398	C₂²×#41	—	2	96	no	—
399	C₂²×#41	—	2	96	no	—
400	C₂²×#41	—	2	48	no	—
401	C₂²×#41	—	4	48	no	—
402	C₂²×#41	—	8	48	no	—
403	C₂²×#41	#41	1	32	yes	complemented
404	C₂²×#41	C₂⁴	1	144	yes	—
405	C₂²×#41	C₂⁴	1	48	yes	—
406	C₂²×#41	C₂⁴	1	144	yes	—
407	C₂²×#41	C₂⁴	1	512	yes	—
408	C₂²×#41	C₂⁴	1	72	yes	—
409	C₂²×#41	C₂⁴	1	48	yes	—
410	C₂²×#41	C₂⁴	1	144	yes	—
411	C₂²×#41	C₂⁴	1	288	yes	—
412	C₂²×#41	C₂⁴	1	24	yes	—
413	C₂³×Q₈	—	2	32	no	—
414	C₂³×Q₈	—	8	24	no	—
415	C₂³×Q₈	C₂⁴	1	6	yes	—
416	C₂³×Q₈	C₂⁴	1	48	yes	—
417	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
418	C₂³×Q₈	C₂⁴	1	2	yes	—
419	C₂³×Q₈	C₂⁴	1	6	yes	—
420	C₂³×Q₈	C₂⁴	1	12	yes	—
421	C₂³×Q₈	C₂⁴	1	144	yes	—
422	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
423	C₂³×D₄	—	2	96	no	—
424	C₂³×D₄	—	2	96	no	—
425	C₂³×D₄	—	2	48	no	—
426	C₂³×D₄	—	4	24	no	—
427	C₂³×D₄	—	8	48	no	—
428	C₂³×D₄	C₂⁴	1	1	yes	characteristic
429	C₂³×D₄	C₂⁴	1	6	yes	—
430	C₂³×D₄	C₂⁴	1	3	yes	—
431	C₂³×D₄	C₂⁴	1	6	yes	—
432	C₂³×D₄	C₂⁴	1	12	yes	—
433	C₂³×D₄	C₂⁴	1	3	yes	—
434	C₂³×D₄	C₂⁴	1	6	yes	—
435	C₂³×D₄	C₂⁴	1	144	yes	—
436	C₂³×D₄	C₂⁴	1	72	yes	—
437	C₂³×D₄	C₂⁴	1	144	yes	—
438	C₂³×D₄	C₂⁴	1	12	yes	—
439	C₂³×D₄	C₂⁴	1	24	yes	—
440	C₂³×D₄	C₂⁴	1	6	yes	—
441	C₂³×D₄	C₂⁴	1	72	yes	—
442	C₂³×D₄	C₂⁴	1	6	yes	—
443	C₂³×D₄	C₂⁴	1	12	yes	—
444	C₂³×D₄	C₂⁴	1	288	yes	—
445	C₂³×D₄	C₂⁴	1	3	yes	—
446	C₂⁴×C₄	—	2	96	no	—
447	C₂⁴×C₄	—	4	48	no	—
448	C₂⁴×C₄	C₂⁴	1	2	yes	—
449	C₂⁴×C₄	C₂⁴	1	3	yes	—
450	C₂⁴×C₄	C₂⁴	1	6	yes	—
451	C₂⁴×C₄	C₂⁴	1	6	yes	—
452	C₂⁴×C₄	C₂⁴	1	6	yes	—
453	C₂⁴×C₄	C₂⁴	1	6	yes	—
454	C₂⁴×C₄	C₂⁴	1	6	yes	—
455	C₂⁴×C₄	C₂⁴	1	144	yes	—
456	C₂⁴×C₄	C₂⁴	1	6	yes	—
457	C₂⁴×C₄	C₂⁴	1	6	yes	—
458	C₂⁴×C₄	C₂⁴	1	12	yes	—
459	C₂⁴×C₄	C₂⁴	1	144	yes	—
460	C₂⁴×C₄	C₂⁴	1	12	yes	—
461	C₂⁴×C₄	C₂⁴	1	3	yes	—
462	C₂⁴×C₄	C₂⁴	1	6	yes	—
463	C₂⁴×C₄	C₂⁴	1	12	yes	—
464	C₂⁴×C₄	C₂⁴	1	12	yes	—
465	C₂⁴×C₄	C₂⁴	1	3	yes	—
466	#559	C₂⁴	1	3072	yes	complemented
467	Q₈²	C₂⁴	1	512	yes	complemented
468	#557	C₂⁴	1	512	yes	complemented
469	#556	C₂⁴	1	256	yes	complemented
470	#556	C₂⁴	1	1536	yes	complemented
471	#556	C₂⁴	1	1536	yes	complemented
472	#556	C₂⁴	1	3072	yes	complemented
473	#555	C₂⁴	1	768	yes	complemented
474	#555	C₂⁴	1	1536	yes	complemented
475	#555	C₂⁴	1	3072	yes	complemented
476	#555	C₂⁴	1	1536	yes	complemented
477	#555	C₂⁴	1	3072	yes	complemented
478	#555	C₂⁴	1	1536	yes	complemented
479	#555	C₂⁴	1	3072	yes	complemented
480	#554	C₂⁴	1	1536	yes	complemented
481	#554	C₂⁴	1	768	yes	complemented
482	#553	C₂⁴	1	1536	yes	complemented
483	#553	C₂⁴	1	3072	yes	complemented
484	#553	C₂⁴	1	3072	yes	complemented
485	#553	C₂⁴	1	3072	yes	complemented
486	#552	C₂⁴	1	1536	yes	complemented
487	#552	C₂⁴	1	1536	yes	complemented
488	#552	C₂⁴	1	3072	yes	complemented
489	#551	C₂⁴	1	6144	yes	complemented
490	#551	C₂⁴	1	3072	yes	complemented
491	#550	C₂⁴	1	256	yes	complemented
492	#550	C₂⁴	1	1024	yes	complemented
493	#550	C₂⁴	1	1536	yes	complemented
494	D₄×Q₈	C₂⁴	1	256	yes	complemented
495	D₄×Q₈	C₂⁴	1	1536	yes	complemented
496	#548	C₂⁴	1	512	yes	complemented
497	#548	C₂⁴	1	1024	yes	complemented
498	#548	C₂⁴	1	3072	yes	complemented
499	#547	C₂⁴	1	768	yes	complemented
500	#547	C₂⁴	1	768	yes	complemented
501	#547	C₂⁴	1	1536	yes	complemented
502	#546	C₂⁴	1	1536	yes	complemented
503	#546	C₂⁴	1	3072	yes	complemented
504	#546	C₂⁴	1	1536	yes	complemented
505	#546	C₂⁴	1	6144	yes	complemented
506	D₄²	C₂⁴	1	768	yes	complemented
507	D₄²	C₂⁴	1	3072	yes	complemented
508	#544	C₂⁴	1	1536	yes	complemented
509	#542	C₂⁴	1	3072	yes	complemented
510	#542	C₂⁴	1	3072	yes	complemented
511	#540	C₂⁴	1	3072	yes	complemented
512	#538	C₂⁴	1	6144	yes	complemented
513	#538	C₂⁴	1	3072	yes	complemented
514	#537	C₂⁴	1	1536	yes	complemented
515	#535	C₂⁴	1	1536	yes	complemented
516	#533	C₂⁴	1	768	yes	complemented
517	#533	C₂⁴	1	1536	yes	complemented
518	#532	C₂⁴	1	768	yes	complemented
519	#532	C₂⁴	1	3072	yes	complemented
520	#532	C₂⁴	1	1536	yes	complemented
521	C₂×C₄⋊Q₈	C₂⁴	1	72	yes	—
522	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
523	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
524	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
525	C₂×C₄⋊Q₈	C₂⁴	1	72	yes	—
526	C₂×C₄⋊Q₈	C₂⁴	1	288	yes	—
527	C₂×C₄⋊Q₈	C₂⁴	1	24	yes	—
528	C₂×C₄⋊Q₈	C₂⁴	1	768	yes	complemented
529	C₂×#127	C₂⁴	1	72	yes	—
530	C₂×#127	C₂⁴	1	288	yes	—
531	#529	C₂⁴	1	6144	yes	complemented
532	#529	C₂⁴	1	3072	yes	complemented
533	#529	C₂⁴	1	3072	yes	complemented
534	#529	C₂⁴	1	1536	yes	complemented
535	C₂×#126	C₂⁴	1	96	yes	—
536	C₂×#126	C₂⁴	1	288	yes	—
537	C₂×#126	C₂⁴	1	288	yes	—
538	C₂×#126	C₂⁴	1	576	yes	—
539	C₂×#126	C₂⁴	1	576	yes	—
540	C₂×#125	C₂⁴	1	288	yes	—
541	C₂×#125	C₂⁴	1	144	yes	—
542	C₂×#125	C₂⁴	1	288	yes	—
543	C₂×#125	C₂⁴	1	144	yes	—
544	C₂×#124	C₂⁴	1	288	yes	—
545	C₂×#124	C₂⁴	1	576	yes	—
546	C₂×#124	C₂⁴	1	576	yes	—
547	C₂×#124	C₂⁴	1	576	yes	—
548	C₂×#124	C₂⁴	1	48	yes	—
549	C₂×#124	C₂⁴	1	288	yes	—
550	C₂×#124	C₂⁴	1	288	yes	—
551	C₂×#124	C₂⁴	1	144	yes	—
552	C₂×#124	C₂⁴	1	3072	yes	complemented
553	#525	C₂⁴	1	1536	yes	complemented
554	#525	C₂⁴	1	1536	yes	complemented
555	#525	C₂⁴	1	3072	yes	complemented
556	C₂×#123	C₂⁴	1	288	yes	—
557	C₂×#123	C₂⁴	1	288	yes	—
558	C₂×#123	C₂⁴	1	576	yes	—
559	C₂×#123	C₂⁴	1	288	yes	—
560	C₂×#123	C₂⁴	1	288	yes	—
561	C₂×#123	C₂⁴	1	576	yes	—
562	C₂×#123	C₂⁴	1	288	yes	—
563	C₂×C₂²⋊Q₈	C₂⁴	1	48	yes	—
564	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
565	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
566	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
567	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
568	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
569	C₂×C₂²⋊Q₈	C₂⁴	1	576	yes	—
570	C₂×C₂²⋊Q₈	C₂⁴	1	288	yes	—
571	C₂×C₂²⋊Q₈	C₂⁴	1	288	yes	—
572	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
573	C₂×C₂²⋊Q₈	C₂⁴	1	288	yes	—
574	C₂×#121	C₂⁴	1	144	yes	—
575	C₂×#121	C₂⁴	1	144	yes	—
576	C₂×#121	C₂⁴	1	288	yes	—
577	C₂×#121	C₂⁴	1	288	yes	—
578	C₂×#121	C₂⁴	1	288	yes	—
579	C₂×#121	C₂⁴	1	576	yes	—
580	C₂×#121	C₂⁴	1	288	yes	—
581	C₂×#121	C₂⁴	1	144	yes	—
582	C₂×#121	C₂⁴	1	144	yes	—
583	C₂×#121	C₂⁴	1	144	yes	—
584	C₂×#121	C₂⁴	1	144	yes	—
585	C₂×#121	C₂⁴	1	576	yes	—
586	C₂×#121	C₂⁴	1	288	yes	—
587	C₂×#121	C₂⁴	1	288	yes	—
588	C₂×#121	C₂⁴	1	144	yes	—
589	C₂×#121	C₂⁴	1	576	yes	—
590	C₂×#121	C₂⁴	1	1536	yes	complemented
591	C₂×#121	C₂⁴	1	1536	yes	complemented
592	C₂×#120	C₂⁴	1	576	yes	—
593	C₂×#120	C₂⁴	1	288	yes	—
594	C₂×#120	C₂⁴	1	288	yes	—
595	#520	C₂⁴	1	256	yes	—
596	#520	C₂⁴	1	512	yes	—
597	#520	C₂⁴	1	1536	yes	complemented
598	#520	C₂⁴	1	1536	yes	complemented
599	#520	C₂⁴	1	768	yes	complemented
600	#520	C₂⁴	1	512	yes	complemented
601	#519	C₂⁴	1	1024	yes	complemented
602	#518	C₂⁴	1	3072	yes	complemented
603	#518	C₂⁴	1	768	yes	complemented
604	#518	C₂⁴	1	1536	yes	complemented
605	C₄×#41	C₂⁴	1	256	yes	—
606	C₄×#41	C₂⁴	1	3072	yes	complemented
607	C₄×#41	C₂⁴	1	1024	yes	complemented
608	C₄×#41	C₂⁴	1	768	yes	complemented
609	C₄×#41	C₂⁴	1	512	yes	complemented
610	C₄×#41	C₂⁴	1	1536	yes	complemented
611	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
612	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
613	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
614	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
615	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
616	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
617	C₂×C₄×Q₈	C₂⁴	1	288	yes	—
618	C₂×C₄×Q₈	C₂⁴	1	288	yes	—
619	C₂×C₄×Q₈	C₂⁴	1	72	yes	—
620	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
621	C₂×C₄×Q₈	C₂⁴	1	288	yes	—
622	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
623	C₂×C₄×D₄	C₂⁴	1	24	yes	—
624	C₂×C₄×D₄	C₂⁴	1	72	yes	—
625	C₂×C₄×D₄	C₂⁴	1	144	yes	—
626	C₂×C₄×D₄	C₂⁴	1	72	yes	—
627	C₂×C₄×D₄	C₂⁴	1	144	yes	—
628	C₂×C₄×D₄	C₂⁴	1	144	yes	—
629	C₂×C₄×D₄	C₂⁴	1	72	yes	—
630	C₂×C₄×D₄	C₂⁴	1	288	yes	—
631	C₂×C₄×D₄	C₂⁴	1	144	yes	—
632	C₂×C₄×D₄	C₂⁴	1	144	yes	—
633	C₂×C₄×D₄	C₂⁴	1	144	yes	—
634	C₂×C₄×D₄	C₂⁴	1	144	yes	—
635	C₂×C₄×D₄	C₂⁴	1	72	yes	—
636	C₂×C₄×D₄	C₂⁴	1	144	yes	—
637	C₂×C₄×D₄	C₂⁴	1	72	yes	—
638	C₂×C₄×D₄	C₂⁴	1	72	yes	—
639	C₂×C₄×D₄	C₂⁴	1	144	yes	—
640	C₂×C₄×D₄	C₂⁴	1	72	yes	—
641	C₂×C₄×D₄	C₂⁴	1	144	yes	—
642	C₂×C₄×D₄	C₂⁴	1	288	yes	—
643	C₂×C₄×D₄	C₂⁴	1	576	yes	—
644	C₂×C₄×D₄	C₂⁴	1	288	yes	—
645	C₂×C₄×D₄	C₂⁴	1	576	yes	—
646	C₂×C₄×D₄	C₂⁴	1	288	yes	—
647	C₂×C₄×D₄	C₂⁴	1	288	yes	—
648	C₂×C₄×D₄	C₂⁴	1	144	yes	—
649	C₂×C₄×D₄	C₂⁴	1	288	yes	—
650	C₂×C₄×D₄	C₂⁴	1	144	yes	—
651	C₂×C₄×D₄	C₂⁴	1	288	yes	—
652	C₂×C₄×D₄	C₂⁴	1	576	yes	—
653	C₂×C₄×D₄	C₂⁴	1	768	yes	complemented
654	C₂×C₄×D₄	C₂⁴	1	1536	yes	complemented
655	C₂×C₄×D₄	C₂⁴	1	768	yes	complemented
656	C₂×#117	C₂⁴	1	144	yes	—
657	C₂×#117	C₂⁴	1	48	yes	—
658	C₂×#117	C₂⁴	1	72	yes	—
659	C₂×#117	C₂⁴	1	144	yes	—
660	C₂×#117	C₂⁴	1	288	yes	—
661	C₂×#117	C₂⁴	1	288	yes	—
662	C₂×#117	C₂⁴	1	288	yes	—
663	C₂×#117	C₂⁴	1	288	yes	—
664	C₂×#117	C₂⁴	1	144	yes	—
665	C₂×#117	C₂⁴	1	288	yes	—
666	C₂×#117	C₂⁴	1	288	yes	—
667	C₂×#117	C₂⁴	1	576	yes	—
668	C₂×#117	C₂⁴	1	72	yes	—
669	C₂×#117	C₂⁴	1	144	yes	—
670	C₂×#117	C₂⁴	1	144	yes	—
671	C₂×#117	C₂⁴	1	288	yes	—
672	C₂×#117	C₂⁴	1	1536	yes	complemented
673	C₂×#117	C₂⁴	1	1536	yes	complemented
674	C₂×#117	C₂⁴	1	1536	yes	complemented
675	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
677	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
679	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
680	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
681	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
682	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
683	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
684	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
685	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
686	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
687	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
688	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
689	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
690	C₂²×C₄⋊C₄	C₂⁴	1	72	yes	—
691	C₂²×C₄⋊C₄	C₂⁴	1	72	yes	—
692	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
693	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
694	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
695	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
696	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
697	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
698	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
701	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
702	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
703	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
704	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
705	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
706	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
708	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
709	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
710	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
711	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
712	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
713	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
714	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
715	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
716	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
717	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
718	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
719	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
720	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
721	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
722	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
723	C₂²×C₂²⋊C₄	C₂⁴	1	144	yes	—
724	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
725	C₂²×C₂²⋊C₄	C₂⁴	1	144	yes	—
726	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
727	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
728	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
729	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
730	C₂²×C₄²	C₂⁴	1	12	yes	—
731	C₂²×C₄²	C₂⁴	1	6	yes	—
732	C₂²×C₄²	C₂⁴	1	4	yes	—
733	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
734	C₂²×C₄²	C₂⁴	1	2	yes	—
735	C₂²×C₄²	C₂⁴	1	3	yes	—
736	C₂²×C₄²	C₂⁴	1	24	yes	—
737	C₂²×C₄²	C₂⁴	1	6	yes	—
738	C₂²×C₄²	C₂⁴	1	3	yes	—
739	C₂²×C₄²	C₂⁴	1	3	yes	—
740	C₂²×C₄²	C₂⁴	1	12	yes	—
741	C₂²×C₄²	C₂⁴	1	288	yes	—
742	C₂²×C₄²	C₂⁴	1	288	yes	—
743	C₂²×C₄²	C₂⁴	1	72	yes	—
744	C₂²×C₄²	C₂⁴	1	144	yes	—
745	C₂⁵	—	2	48	no	—
746	C₂⁵	—	2	48	no	—
747	C₂⁵	—	4	24	no	—
748	C₂⁵	—	4	24	no	—
749	C₂⁵	—	4	24	no	—
750	C₂⁵	—	4	24	no	—
751	C₂⁵	C₂⁵	1	2	yes	—
752	C₂⁵	C₂⁵	1	6	yes	—
753	C₂⁵	C₂⁵	1	6	yes	—
754	C₂⁵	C₂⁵	1	3	yes	—
755	C₂⁵	C₂⁵	1	72	yes	—
756	C₂⁵	C₂⁵	1	72	yes	—
757	H(5,𝔽₂)	—	2	2048	no	—
758	C₂×#41	—	2	4096	no	—
759	C₂×#41	—	2	384	no	—
760	C₂×#41	—	2	384	no	—
761	C₂×#41	—	2	1152	no	—
762	C₂×#41	—	2	1152	no	—
763	C₂×#41	—	2	576	no	—
764	C₂×#41	—	4	576	no	—
765	C₂×#41	—	8	576	no	—
766	C₂×#41	C₂×#41	1	384	yes	complemented
767	C₂×#41	C₂⁵	1	384	yes	—
768	C₂×#41	C₂⁵	1	128	yes	—
769	C₂×#41	C₂⁵	1	192	yes	—
770	C₂×#41	C₂⁵	1	128	yes	—
771	C₂×#41	C₂⁵	1	384	yes	—
772	C₂×#41	C₂⁵	1	384	yes	—
773	C₂×#41	C₂⁵	1	768	yes	—
774	C₂×#41	C₂⁵	1	64	yes	—
775	C₂²×Q₈	—	2	384	no	—
776	C₂²×Q₈	—	2	48	no	—
777	C₂²×Q₈	—	2	8	no	—
778	C₂²×Q₈	—	2	16	no	—
779	C₂²×Q₈	—	4	24	no	—
780	C₂²×Q₈	—	4	48	no	—
781	C₂²×Q₈	—	8	288	no	—
782	C₂²×Q₈	C₂×#41	1	16	yes	—
783	C₂²×Q₈	C₂⁵	1	12	yes	—
784	C₂²×Q₈	C₂⁵	1	24	yes	—
785	C₂²×Q₈	C₂⁵	1	72	yes	—
786	C₂²×Q₈	C₂⁵	1	128	yes	—
787	C₂²×Q₈	C₂⁵	1	72	yes	—
788	C₂²×Q₈	C₂⁵	1	144	yes	—
789	C₂²×Q₈	C₂⁵	1	384	yes	—
790	C₂²×Q₈	C₂⁵	1	12	yes	—
791	C₂²×D₄	—	2	48	no	—
792	C₂²×D₄	—	2	96	no	—
793	C₂²×D₄	—	2	1152	no	—
794	C₂²×D₄	—	2	1152	no	—
795	C₂²×D₄	—	2	24	no	—
796	C₂²×D₄	—	2	48	no	—
797	C₂²×D₄	—	2	48	no	—
798	C₂²×D₄	—	2	576	no	—
799	C₂²×D₄	—	2	8	no	—
800	C₂²×D₄	—	2	24	no	—
801	C₂²×D₄	—	4	288	no	—
802	C₂²×D₄	—	4	24	no	—
803	C₂²×D₄	—	4	48	no	—
804	C₂²×D₄	—	4	96	no	—
805	C₂²×D₄	—	4	48	no	—
806	C₂²×D₄	—	4	24	no	—
807	C₂²×D₄	—	8	576	no	—
808	C₂²×D₄	C₂×#41	1	48	yes	—
809	C₂²×D₄	C₂⁵	1	144	yes	—
810	C₂²×D₄	C₂⁵	1	72	yes	—
811	C₂²×D₄	C₂⁵	1	36	yes	—
812	C₂²×D₄	C₂⁵	1	12	yes	—
813	C₂²×D₄	C₂⁵	1	36	yes	—
814	C₂²×D₄	C₂⁵	1	72	yes	—
815	C₂²×D₄	C₂⁵	1	72	yes	—
816	C₂²×D₄	C₂⁵	1	192	yes	—
817	C₂²×D₄	C₂⁵	1	384	yes	—
818	C₂²×D₄	C₂⁵	1	384	yes	—
819	C₂²×D₄	C₂⁵	1	144	yes	—
820	C₂²×D₄	C₂⁵	1	72	yes	—
821	C₂²×D₄	C₂⁵	1	72	yes	—
822	C₂²×D₄	C₂⁵	1	144	yes	—
823	C₂²×D₄	C₂⁵	1	288	yes	—
824	C₂²×D₄	C₂⁵	1	192	yes	—
825	C₂²×D₄	C₂⁵	1	768	yes	—
826	C₂²×D₄	C₂⁵	1	36	yes	—
827	C₂³×C₄	—	2	48	no	—
828	C₂³×C₄	—	2	16	no	—
829	C₂³×C₄	—	2	48	no	—
830	C₂³×C₄	—	2	48	no	—
831	C₂³×C₄	—	2	48	no	—
832	C₂³×C₄	—	2	1152	no	—
833	C₂³×C₄	—	2	48	no	—
834	C₂³×C₄	—	2	24	no	—
835	C₂³×C₄	—	2	48	no	—
836	C₂³×C₄	—	4	576	no	—
837	C₂³×C₄	—	4	24	no	—
838	C₂³×C₄	—	4	48	no	—
839	C₂³×C₄	—	4	48	no	—
840	C₂³×C₄	—	4	12	no	—
841	C₂³×C₄	—	4	48	no	—
842	C₂³×C₄	—	4	48	no	—
843	C₂³×C₄	—	4	24	no	—
844	C₂³×C₄	C₂×#41	1	48	yes	—
845	C₂³×C₄	C₂⁵	1	72	yes	—
846	C₂³×C₄	C₂⁵	1	36	yes	—
847	C₂³×C₄	C₂⁵	1	72	yes	—
848	C₂³×C₄	C₂⁵	1	72	yes	—
849	C₂³×C₄	C₂⁵	1	24	yes	—
850	C₂³×C₄	C₂⁵	1	72	yes	—
851	C₂³×C₄	C₂⁵	1	72	yes	—
852	C₂³×C₄	C₂⁵	1	72	yes	—
853	C₂³×C₄	C₂⁵	1	384	yes	—
854	C₂³×C₄	C₂⁵	1	1	yes	characteristic
855	C₂³×C₄	C₂⁵	1	6	yes	—
856	C₂³×C₄	C₂⁵	1	3	yes	—
857	C₂³×C₄	C₂⁵	1	2	yes	—
858	C₂³×C₄	C₂⁵	1	6	yes	—
859	C₂³×C₄	C₂⁵	1	3	yes	—
860	C₂³×C₄	C₂⁵	1	2	yes	—
861	C₂³×C₄	C₂⁵	1	4	yes	—
862	C₂³×C₄	C₂⁵	1	12	yes	—
863	C₂³×C₄	C₂⁵	1	2	yes	—
864	C₂³×C₄	C₂⁵	1	36	yes	—
865	C₂³×C₄	C₂⁵	1	72	yes	—
866	C₂³×C₄	C₂⁵	1	144	yes	—
867	C₂³×C₄	C₂⁵	1	72	yes	—
868	C₂³×C₄	C₂⁵	1	144	yes	—
869	C₂³×C₄	C₂⁵	1	144	yes	—
870	C₂³×C₄	C₂⁵	1	144	yes	—
871	C₂³×C₄	C₂⁵	1	384	yes	—
872	C₂³×C₄	C₂⁵	1	36	yes	—
873	C₂³×C₄	C₂⁵	1	1	yes	characteristic
874	C₂³×C₄	C₂⁵	1	3	yes	—
875	C₂³×C₄	C₂⁵	1	1	yes	characteristic
876	C₄⋊Q₈	C₂⁵	1	192	yes	—
877	C₄⋊Q₈	C₂⁵	1	384	yes	—
878	C₄⋊Q₈	C₂⁵	1	384	yes	—
879	C₄⋊Q₈	C₂⁵	1	384	yes	—
880	C₄⋊Q₈	C₂⁵	1	192	yes	—
881	C₄⋊Q₈	C₂⁵	1	768	yes	—
882	C₄⋊Q₈	C₂⁵	1	64	yes	—
883	#127	C₂⁵	1	192	yes	—
884	#127	C₂⁵	1	768	yes	—
885	#126	C₂⁵	1	256	yes	—
886	#126	C₂⁵	1	768	yes	—
887	#126	C₂⁵	1	768	yes	—
888	#126	C₂⁵	1	1536	yes	—
889	#126	C₂⁵	1	1536	yes	—
890	#125	C₂⁵	1	768	yes	—
891	#125	C₂⁵	1	384	yes	—
892	#125	C₂⁵	1	768	yes	—
893	#125	C₂⁵	1	384	yes	—
894	#124	C₂⁵	1	768	yes	—
895	#124	C₂⁵	1	1536	yes	—
896	#124	C₂⁵	1	1536	yes	—
897	#124	C₂⁵	1	1536	yes	—
898	#124	C₂⁵	1	128	yes	—
899	#124	C₂⁵	1	768	yes	—
900	#124	C₂⁵	1	768	yes	—
901	#124	C₂⁵	1	384	yes	—
902	#123	C₂⁵	1	768	yes	—
903	#123	C₂⁵	1	768	yes	—
904	#123	C₂⁵	1	1536	yes	—
905	#123	C₂⁵	1	768	yes	—
906	#123	C₂⁵	1	768	yes	—
907	#123	C₂⁵	1	1536	yes	—
908	#123	C₂⁵	1	768	yes	—
909	C₂²⋊Q₈	C₂⁵	1	128	yes	—
910	C₂²⋊Q₈	C₂⁵	1	384	yes	—
911	C₂²⋊Q₈	C₂⁵	1	384	yes	—
912	C₂²⋊Q₈	C₂⁵	1	384	yes	—
913	C₂²⋊Q₈	C₂⁵	1	384	yes	—
914	C₂²⋊Q₈	C₂⁵	1	384	yes	—
915	C₂²⋊Q₈	C₂⁵	1	1536	yes	—
916	C₂²⋊Q₈	C₂⁵	1	768	yes	—
917	C₂²⋊Q₈	C₂⁵	1	768	yes	—
918	C₂²⋊Q₈	C₂⁵	1	384	yes	—
919	C₂²⋊Q₈	C₂⁵	1	768	yes	—
920	#121	C₂⁵	1	384	yes	—
921	#121	C₂⁵	1	384	yes	—
922	#121	C₂⁵	1	768	yes	—
923	#121	C₂⁵	1	768	yes	—
924	#121	C₂⁵	1	768	yes	—
925	#121	C₂⁵	1	1536	yes	—
926	#121	C₂⁵	1	768	yes	—
927	#121	C₂⁵	1	384	yes	—
928	#121	C₂⁵	1	384	yes	—
929	#121	C₂⁵	1	384	yes	—
930	#121	C₂⁵	1	384	yes	—
931	#121	C₂⁵	1	1536	yes	—
932	#121	C₂⁵	1	768	yes	—
933	#121	C₂⁵	1	768	yes	—
934	#121	C₂⁵	1	384	yes	—
935	#121	C₂⁵	1	1536	yes	—
936	#120	C₂⁵	1	1536	yes	—
937	#120	C₂⁵	1	768	yes	—
938	#120	C₂⁵	1	768	yes	—
939	C₄×Q₈	C₂⁵	1	64	yes	—
940	C₄×Q₈	C₂⁵	1	64	yes	—
941	C₄×Q₈	C₂⁵	1	128	yes	—
942	C₄×Q₈	C₂⁵	1	128	yes	—
943	C₄×Q₈	C₂⁵	1	64	yes	—
944	C₄×Q₈	C₂⁵	1	256	yes	—
945	C₄×Q₈	C₂⁵	1	768	yes	—
946	C₄×Q₈	C₂⁵	1	768	yes	—
947	C₄×Q₈	C₂⁵	1	192	yes	—
948	C₄×Q₈	C₂⁵	1	384	yes	—
949	C₄×Q₈	C₂⁵	1	768	yes	—
950	C₄×Q₈	C₂⁵	1	384	yes	—
951	C₄×D₄	C₂⁵	1	64	yes	—
952	C₄×D₄	C₂⁵	1	192	yes	—
953	C₄×D₄	C₂⁵	1	384	yes	—
954	C₄×D₄	C₂⁵	1	192	yes	—
955	C₄×D₄	C₂⁵	1	384	yes	—
956	C₄×D₄	C₂⁵	1	384	yes	—
957	C₄×D₄	C₂⁵	1	192	yes	—
958	C₄×D₄	C₂⁵	1	768	yes	—
959	C₄×D₄	C₂⁵	1	384	yes	—
960	C₄×D₄	C₂⁵	1	384	yes	—
961	C₄×D₄	C₂⁵	1	384	yes	—
962	C₄×D₄	C₂⁵	1	384	yes	—
963	C₄×D₄	C₂⁵	1	192	yes	—
964	C₄×D₄	C₂⁵	1	384	yes	—
965	C₄×D₄	C₂⁵	1	192	yes	—
966	C₄×D₄	C₂⁵	1	192	yes	—
967	C₄×D₄	C₂⁵	1	384	yes	—
968	C₄×D₄	C₂⁵	1	192	yes	—
969	C₄×D₄	C₂⁵	1	384	yes	—
970	C₄×D₄	C₂⁵	1	768	yes	—
971	C₄×D₄	C₂⁵	1	1536	yes	—
972	C₄×D₄	C₂⁵	1	768	yes	—
973	C₄×D₄	C₂⁵	1	1536	yes	—
974	C₄×D₄	C₂⁵	1	768	yes	—
975	C₄×D₄	C₂⁵	1	768	yes	—
976	C₄×D₄	C₂⁵	1	384	yes	—
977	C₄×D₄	C₂⁵	1	768	yes	—
978	C₄×D₄	C₂⁵	1	384	yes	—
979	C₄×D₄	C₂⁵	1	768	yes	—
980	C₄×D₄	C₂⁵	1	1536	yes	—
981	#117	C₂⁵	1	384	yes	—
982	#117	C₂⁵	1	128	yes	—
983	#117	C₂⁵	1	192	yes	—
984	#117	C₂⁵	1	384	yes	—
985	#117	C₂⁵	1	768	yes	—
986	#117	C₂⁵	1	768	yes	—
987	#117	C₂⁵	1	768	yes	—
988	#117	C₂⁵	1	768	yes	—
989	#117	C₂⁵	1	384	yes	—
990	#117	C₂⁵	1	768	yes	—
991	#117	C₂⁵	1	768	yes	—
992	#117	C₂⁵	1	1536	yes	—
993	#117	C₂⁵	1	192	yes	—
994	#117	C₂⁵	1	384	yes	—
995	#117	C₂⁵	1	384	yes	—
996	#117	C₂⁵	1	768	yes	—
997	C₂×C₄⋊C₄	C₂⁵	1	12	yes	—
998	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
999	C₂×C₄⋊C₄	C₂⁵	1	12	yes	—
1000	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1001	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1002	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1003	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1004	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1005	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1006	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1007	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1008	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1009	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1010	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1011	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1012	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1013	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1014	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1015	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1016	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1017	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1018	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1019	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1020	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1021	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1022	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1023	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1024	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1025	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1026	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1027	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1028	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1029	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1030	C₂×C₂²⋊C₄	C₂⁵	1	24	yes	—
1031	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1032	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1033	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1034	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1035	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1036	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1037	C₂×C₂²⋊C₄	C₂⁵	1	288	yes	—
1038	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1039	C₂×C₂²⋊C₄	C₂⁵	1	288	yes	—
1040	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1041	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1042	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1043	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1044	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1045	C₂×C₂²⋊C₄	C₂⁵	1	384	yes	—
1046	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1047	C₂×C₂²⋊C₄	C₂⁵	1	384	yes	—
1048	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1049	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1050	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1051	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1052	C₂×C₄²	C₂⁵	1	144	yes	—
1053	C₂×C₄²	C₂⁵	1	72	yes	—
1054	C₂×C₄²	C₂⁵	1	288	yes	—
1055	C₂×C₄²	C₂⁵	1	72	yes	—
1056	C₂×C₄²	C₂⁵	1	48	yes	—
1057	C₂×C₄²	C₂⁵	1	36	yes	—
1058	C₂×C₄²	C₂⁵	1	36	yes	—
1059	C₂×C₄²	C₂⁵	1	144	yes	—
1060	C₂×C₄²	C₂⁵	1	768	yes	—
1061	C₂×C₄²	C₂⁵	1	768	yes	—
1062	C₂×C₄²	C₂⁵	1	12	yes	—
1063	C₂×C₄²	C₂⁵	1	24	yes	—
1064	C₂×C₄²	C₂⁵	1	36	yes	—
1065	C₂×C₄²	C₂⁵	1	192	yes	—
1066	C₂×C₄²	C₂⁵	1	384	yes	—
1067	C₂⁴	—	2	12	no	—
1068	C₂⁴	—	2	12	no	—
1069	C₂⁴	—	2	8	no	—
1070	C₂⁴	—	2	24	no	—
1071	C₂⁴	—	2	24	no	—
1072	C₂⁴	—	2	24	no	—
1073	C₂⁴	—	2	24	no	—
1074	C₂⁴	—	2	8	no	—
1075	C₂⁴	—	2	24	no	—
1076	C₂⁴	—	2	24	no	—
1077	C₂⁴	—	2	8	no	—
1078	C₂⁴	—	2	288	no	—
1079	C₂⁴	—	2	288	no	—
1080	C₂⁴	—	4	144	no	—
1081	C₂⁴	—	4	144	no	—
1082	C₂⁴	—	4	144	no	—
1083	C₂⁴	—	4	144	no	—
1084	C₂⁴	—	8	192	no	—
1085	C₂⁴	—	8	192	no	—
1086	C₂⁴	C₂²×#41	1	24	yes	—
1087	C₂⁴	C₂⁶	1	12	yes	—
1088	C₂⁴	C₂⁶	1	36	yes	—
1089	C₂⁴	C₂⁶	1	36	yes	—
1090	C₂⁴	C₂⁶	1	18	yes	—
1091	C₂⁴	C₂⁶	1	96	yes	—
1092	C₂⁴	C₂⁶	1	96	yes	—
1093	C₂⁴	C₂⁶	1	1	yes	characteristic
1094	#41	—	2	512	no	—
1095	#41	—	2	512	no	—
1096	#41	—	2	1536	no	—
1097	#41	—	2	1536	no	—
1098	#41	—	2	768	no	—
1099	#41	—	4	768	no	—
1100	#41	—	8	768	no	—
1101	#41	C₂²×#41	1	512	yes	complemented
1102	C₂×Q₈	—	2	512	no	—
1103	C₂×Q₈	—	2	288	no	—
1104	C₂×Q₈	—	2	48	no	—
1105	C₂×Q₈	—	2	96	no	—
1106	C₂×Q₈	—	4	144	no	—
1107	C₂×Q₈	—	4	288	no	—
1108	C₂×Q₈	—	8	384	no	—
1109	C₂×Q₈	C₂²×#41	1	96	yes	—
1110	C₂×Q₈	C₂⁶	1	16	yes	—
1111	C₂×Q₈	C₂⁶	1	32	yes	—
1112	C₂×Q₈	C₂⁶	1	96	yes	—
1113	C₂×Q₈	C₂⁶	1	96	yes	—
1114	C₂×Q₈	C₂⁶	1	192	yes	—
1115	C₂×Q₈	C₂⁶	1	16	yes	—
1116	C₂×D₄	—	2	288	no	—
1117	C₂×D₄	—	2	576	no	—
1118	C₂×D₄	—	2	1536	no	—
1119	C₂×D₄	—	2	1536	no	—
1120	C₂×D₄	—	2	144	no	—
1121	C₂×D₄	—	2	288	no	—
1122	C₂×D₄	—	2	288	no	—
1123	C₂×D₄	—	2	768	no	—
1124	C₂×D₄	—	2	48	no	—
1125	C₂×D₄	—	2	144	no	—
1126	C₂×D₄	—	4	384	no	—
1127	C₂×D₄	—	4	144	no	—
1128	C₂×D₄	—	4	288	no	—
1129	C₂×D₄	—	4	576	no	—
1130	C₂×D₄	—	4	288	no	—
1131	C₂×D₄	—	4	144	no	—
1132	C₂×D₄	—	8	768	no	—
1133	C₂×D₄	C₂²×#41	1	288	yes	—
1134	C₂×D₄	C₂⁶	1	192	yes	—
1135	C₂×D₄	C₂⁶	1	96	yes	—
1136	C₂×D₄	C₂⁶	1	48	yes	—
1137	C₂×D₄	C₂⁶	1	16	yes	—
1138	C₂×D₄	C₂⁶	1	48	yes	—
1139	C₂×D₄	C₂⁶	1	96	yes	—
1140	C₂×D₄	C₂⁶	1	96	yes	—
1141	C₂×D₄	C₂⁶	1	192	yes	—
1142	C₂×D₄	C₂⁶	1	96	yes	—
1143	C₂×D₄	C₂⁶	1	96	yes	—
1144	C₂×D₄	C₂⁶	1	192	yes	—
1145	C₂×D₄	C₂⁶	1	384	yes	—
1146	C₂×D₄	C₂⁶	1	48	yes	—
1147	C₂²×C₄	—	2	8	no	—
1148	C₂²×C₄	—	2	8	no	—
1149	C₂²×C₄	—	2	24	no	—
1150	C₂²×C₄	—	2	288	no	—
1151	C₂²×C₄	—	2	24	no	—
1152	C₂²×C₄	—	2	12	no	—
1153	C₂²×C₄	—	2	16	no	—
1154	C₂²×C₄	—	2	8	no	—
1155	C₂²×C₄	—	2	48	no	—
1156	C₂²×C₄	—	2	12	no	—
1157	C₂²×C₄	—	2	4	no	—
1158	C₂²×C₄	—	2	96	no	—
1159	C₂²×C₄	—	2	288	no	—
1160	C₂²×C₄	—	2	288	no	—
1161	C₂²×C₄	—	2	288	no	—
1162	C₂²×C₄	—	2	1536	no	—
1163	C₂²×C₄	—	2	288	no	—
1164	C₂²×C₄	—	2	144	no	—
1165	C₂²×C₄	—	2	288	no	—
1166	C₂²×C₄	—	4	768	no	—
1167	C₂²×C₄	—	4	144	no	—
1168	C₂²×C₄	—	4	288	no	—
1169	C₂²×C₄	—	4	288	no	—
1170	C₂²×C₄	—	4	72	no	—
1171	C₂²×C₄	—	4	288	no	—
1172	C₂²×C₄	—	4	288	no	—
1173	C₂²×C₄	—	4	144	no	—
1174	C₂²×C₄	C₂²×#41	1	8	yes	—
1175	C₂²×C₄	C₂²×#41	1	24	yes	—
1176	C₂²×C₄	C₂²×#41	1	288	yes	—
1177	C₂²×C₄	#585	1	8	yes	—
1178	C₂²×C₄	C₂⁶	1	12	yes	—
1179	C₂²×C₄	C₂⁶	1	36	yes	—
1180	C₂²×C₄	C₂⁶	1	12	yes	—
1181	C₂²×C₄	C₂⁶	1	6	yes	—
1182	C₂²×C₄	C₂⁶	1	36	yes	—
1183	C₂²×C₄	C₂⁶	1	18	yes	—
1184	C₂²×C₄	C₂⁶	1	12	yes	—
1185	C₂²×C₄	C₂⁶	1	24	yes	—
1186	C₂²×C₄	C₂⁶	1	72	yes	—
1187	C₂²×C₄	C₂⁶	1	96	yes	—
1188	C₂²×C₄	C₂⁶	1	96	yes	—
1189	C₂²×C₄	C₂⁶	1	18	yes	—
1190	C₂²×C₄	C₂⁶	1	48	yes	—
1191	C₂²×C₄	C₂⁶	1	96	yes	—
1192	C₂²×C₄	C₂⁶	1	96	yes	—
1193	C₂²×C₄	C₂⁶	1	96	yes	—
1194	C₂²×C₄	C₂⁶	1	32	yes	—
1195	C₂²×C₄	C₂⁶	1	96	yes	—
1196	C₂²×C₄	C₂⁶	1	96	yes	—
1197	C₂²×C₄	C₂⁶	1	48	yes	—
1198	C₂²×C₄	C₂⁶	1	192	yes	—
1199	C₂²×C₄	C₂⁶	1	96	yes	—
1200	C₂²×C₄	C₂⁶	1	192	yes	—
1201	C₂²×C₄	C₂⁶	1	192	yes	—
1202	C₂²×C₄	C₂⁶	1	192	yes	—
1203	C₂²×C₄	C₂⁶	1	18	yes	—
1204	C₂²×C₄	C₂⁶	1	6	yes	—
1205	C₂²×C₄	C₂⁶	1	48	yes	—
1206	C₂²×C₄	C₂⁶	1	6	yes	—
1207	C₄⋊C₄	C₂⁶	1	16	yes	—
1208	C₄⋊C₄	C₂⁶	1	48	yes	—
1209	C₄⋊C₄	C₂⁶	1	16	yes	—
1210	C₄⋊C₄	C₂⁶	1	32	yes	—
1211	C₄⋊C₄	C₂⁶	1	96	yes	—
1212	C₄⋊C₄	C₂⁶	1	96	yes	—
1213	C₄⋊C₄	C₂⁶	1	96	yes	—
1214	C₄⋊C₄	C₂⁶	1	48	yes	—
1215	C₄⋊C₄	C₂⁶	1	96	yes	—
1216	C₄⋊C₄	C₂⁶	1	48	yes	—
1217	C₄⋊C₄	C₂⁶	1	96	yes	—
1218	C₄⋊C₄	C₂⁶	1	192	yes	—
1219	C₄⋊C₄	C₂⁶	1	192	yes	—
1220	C₄⋊C₄	C₂⁶	1	192	yes	—
1221	C₄⋊C₄	C₂⁶	1	192	yes	—
1222	C₄⋊C₄	C₂⁶	1	48	yes	—
1223	C₄⋊C₄	C₂⁶	1	32	yes	—
1224	C₄⋊C₄	C₂⁶	1	64	yes	—
1225	C₄⋊C₄	C₂⁶	1	192	yes	—
1226	C₄⋊C₄	C₂⁶	1	192	yes	—
1227	C₄⋊C₄	C₂⁶	1	192	yes	—
1228	C₄⋊C₄	C₂⁶	1	96	yes	—
1229	C₄⋊C₄	C₂⁶	1	32	yes	—
1230	C₂²⋊C₄	C₂⁶	1	96	yes	—
1231	C₂²⋊C₄	C₂⁶	1	64	yes	—
1232	C₂²⋊C₄	C₂⁶	1	192	yes	—
1233	C₂²⋊C₄	C₂⁶	1	32	yes	—
1234	C₂²⋊C₄	C₂⁶	1	192	yes	—
1235	C₂²⋊C₄	C₂⁶	1	96	yes	—
1236	C₂²⋊C₄	C₂⁶	1	96	yes	—
1237	C₂²⋊C₄	C₂⁶	1	192	yes	—
1238	C₂²⋊C₄	C₂⁶	1	96	yes	—
1239	C₂²⋊C₄	C₂⁶	1	192	yes	—
1240	C₂²⋊C₄	C₂⁶	1	384	yes	—
1241	C₂²⋊C₄	C₂⁶	1	96	yes	—
1242	C₂²⋊C₄	C₂⁶	1	384	yes	—
1243	C₂²⋊C₄	C₂⁶	1	96	yes	—
1244	C₂²⋊C₄	C₂⁶	1	96	yes	—
1245	C₂²⋊C₄	C₂⁶	1	192	yes	—
1246	C₂²⋊C₄	C₂⁶	1	64	yes	—
1247	C₂²⋊C₄	C₂⁶	1	192	yes	—
1248	C₂²⋊C₄	C₂⁶	1	192	yes	—
1249	C₄²	C₂⁶	1	192	yes	—
1250	C₄²	C₂⁶	1	96	yes	—
1251	C₄²	C₂⁶	1	64	yes	—
1252	C₄²	C₂⁶	1	16	yes	—
1253	C₄²	C₂⁶	1	32	yes	—
1254	C₄²	C₂⁶	1	48	yes	—
1255	C₄²	C₂⁶	1	384	yes	—
1256	C₄²	C₂⁶	1	96	yes	—
1257	C₄²	C₂⁶	1	48	yes	—
1258	C₄²	C₂⁶	1	48	yes	—
1259	C₄²	C₂⁶	1	192	yes	—
1260	C₂³	—	2	96	no	—
1261	C₂³	—	2	36	no	—
1262	C₂³	—	2	36	no	—
1263	C₂³	—	2	24	no	—
1264	C₂³	—	2	72	no	—
1265	C₂³	—	2	72	no	—
1266	C₂³	—	2	72	no	—
1267	C₂³	—	2	72	no	—
1268	C₂³	—	2	24	no	—
1269	C₂³	—	2	72	no	—
1270	C₂³	—	2	72	no	—
1271	C₂³	—	2	24	no	—
1272	C₂³	—	2	192	no	—
1273	C₂³	—	2	192	no	—
1274	C₂³	—	4	96	no	—
1275	C₂³	—	4	96	no	—
1276	C₂³	—	4	96	no	—
1277	C₂³	—	4	96	no	—
1278	C₂³	—	4	96	no	—
1279	C₂³	—	4	96	no	—
1280	C₂³	—	4	32	no	—
1281	C₂³	—	8	576	no	—
1282	C₂³	—	8	576	no	—
1283	C₂³	C₂³×#41	1	72	yes	—
1284	C₂³	C₂³×#41	1	4	yes	—
1285	C₂³	C₂×#585	1	4	yes	—
1286	C₂³	H(7,𝔽₂)	1	4	yes	—
1287	C₂³	C₂⁷	1	8	yes	—
1288	C₂³	C₂⁷	1	24	yes	—
1289	C₂³	C₂⁷	1	24	yes	—
1290	C₂³	C₂⁷	1	12	yes	—
1291	C₂³	C₂⁷	1	3	yes	—
1292	Q₈	—	2	192	no	—
1293	Q₈	—	2	32	no	—
1294	Q₈	—	2	64	no	—
1295	Q₈	—	4	96	no	—
1296	Q₈	—	4	192	no	—
1297	Q₈	C₂³×#41	1	64	yes	—
1298	D₄	—	2	192	no	—
1299	D₄	—	2	384	no	—
1300	D₄	—	2	96	no	—
1301	D₄	—	2	192	no	—
1302	D₄	—	2	192	no	—
1303	D₄	—	2	32	no	—
1304	D₄	—	2	96	no	—
1305	D₄	—	4	96	no	—
1306	D₄	—	4	192	no	—
1307	D₄	—	4	384	no	—
1308	D₄	—	4	192	no	—
1309	D₄	—	4	96	no	—
1310	D₄	C₂³×#41	1	192	yes	—
1311	C₂×C₄	—	2	24	no	—
1312	C₂×C₄	—	2	24	no	—
1313	C₂×C₄	—	2	72	no	—
1314	C₂×C₄	—	2	192	no	—
1315	C₂×C₄	—	2	72	no	—
1316	C₂×C₄	—	2	36	no	—
1317	C₂×C₄	—	2	48	no	—
1318	C₂×C₄	—	2	24	no	—
1319	C₂×C₄	—	2	144	no	—
1320	C₂×C₄	—	2	36	no	—
1321	C₂×C₄	—	2	12	no	—
1322	C₂×C₄	—	2	64	no	—
1323	C₂×C₄	—	2	192	no	—
1324	C₂×C₄	—	2	192	no	—
1325	C₂×C₄	—	2	192	no	—
1326	C₂×C₄	—	2	192	no	—
1327	C₂×C₄	—	2	96	no	—
1328	C₂×C₄	—	2	192	no	—
1329	C₂×C₄	—	4	96	no	—
1330	C₂×C₄	—	4	192	no	—
1331	C₂×C₄	—	4	192	no	—
1332	C₂×C₄	—	4	48	no	—
1333	C₂×C₄	—	4	192	no	—
1334	C₂×C₄	—	4	192	no	—
1335	C₂×C₄	—	4	96	no	—
1336	C₂×C₄	C₂³×#41	1	24	yes	—
1337	C₂×C₄	C₂³×#41	1	72	yes	—
1338	C₂×C₄	C₂³×#41	1	192	yes	—
1339	C₂×C₄	C₂×#585	1	24	yes	—
1340	C₂×C₄	C₂⁷	1	8	yes	—
1341	C₂×C₄	C₂⁷	1	24	yes	—
1342	C₂×C₄	C₂⁷	1	8	yes	—
1343	C₂×C₄	C₂⁷	1	4	yes	—
1344	C₂×C₄	C₂⁷	1	24	yes	—
1345	C₂×C₄	C₂⁷	1	12	yes	—
1346	C₂×C₄	C₂⁷	1	8	yes	—
1347	C₂×C₄	C₂⁷	1	16	yes	—
1348	C₂×C₄	C₂⁷	1	48	yes	—
1349	C₂×C₄	C₂⁷	1	12	yes	—
1350	C₂×C₄	C₂⁷	1	12	yes	—
1351	C₂×C₄	C₂⁷	1	4	yes	—
1352	C₂×C₄	C₂⁷	1	4	yes	—
1353	C₂²	—	2	12	no	—
1354	C₂²	—	2	12	no	—
1355	C₂²	—	2	144	no	—
1356	C₂²	—	2	8	no	—
1357	C₂²	—	2	24	no	—
1358	C₂²	—	2	24	no	—
1359	C₂²	—	2	24	no	—
1360	C₂²	—	2	24	no	—
1361	C₂²	—	2	8	no	—
1362	C₂²	—	2	24	no	—
1363	C₂²	—	2	24	no	—
1364	C₂²	—	2	8	no	—
1365	C₂²	—	4	144	no	—
1366	C₂²	—	4	144	no	—
1367	C₂²	—	4	48	no	—
1368	C₂²	—	8	192	no	—
1369	C₂²	—	8	192	no	—
1370	C₂²	#62994	1	16	yes	direct product factor
1371	C₂²	C₂⁴×#41	1	24	yes	—
1372	C₂²	C₂⁴×#41	1	6	yes	—
1373	C₂²	C₂²×#585	1	6	yes	—
1374	C₂²	C₂×H(7,𝔽₂)	1	6	yes	—
1375	C₂²	C₂⁸	1	1	yes	characteristic
1376	C₄	—	2	8	no	—
1377	C₄	—	2	8	no	—
1378	C₄	—	2	24	no	—
1379	C₄	—	2	24	no	—
1380	C₄	—	2	12	no	—
1381	C₄	—	2	16	no	—
1382	C₄	—	2	8	no	—
1383	C₄	—	2	48	no	—
1384	C₄	—	2	12	no	—
1385	C₄	—	2	4	no	—
1386	C₄	C₂⁴×#41	1	8	yes	—
1387	C₄	C₂⁴×#41	1	24	yes	—
1388	C₄	C₂²×#585	1	8	yes	—
1389	C₂	—	2	24	no	—
1390	C₂	—	4	24	no	—
1391	C₂	—	4	24	no	—
1392	C₂	—	4	8	no	—
1393	C₂	C₂×#62994	1	12	yes	direct product factor
1394	C₂	C₂⁵×#41	1	1	yes	characteristic
1395	C₂	C₂³×#585	1	1	yes	characteristic
1396	C₂	C₂²×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁸
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#62994	C₂	direct (N × H)
2. C₂²×#3511	C₂	semidirect
3. C₂²×#3494	C₂	semidirect
4. C₂²×#3503	C₂	semidirect
5. C₂²×#3488	C₂	semidirect
6. C₂²×#3524	C₂	semidirect
7. C₂²×#3518	C₂	semidirect
8. C₂²×#3514	C₂	semidirect
9. C₂²×#3493	C₂	semidirect
10. C₂²×#3519	C₂	semidirect
11. C₂²×#3506	C₂	semidirect
12. C₂²×#3483	C₂	semidirect
13. C₂²×#3475	C₂	semidirect
14. C₂²×#3475	C₂	semidirect
15. C₂³×#555	C₂	semidirect
16. C₂²×D₄×#41	C₂	semidirect
17. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
18. C₂²×#3428	C₂	semidirect
21. #62994	C₂²	direct (N × H)
22. C₂×#3511	C₂²	semidirect
23. C₂×#3494	C₂²	semidirect
24. C₂×#3503	C₂²	semidirect
25. C₂×#3488	C₂²	semidirect
26. C₂×#3524	C₂²	semidirect
27. C₂×#3518	C₂²	semidirect
28. C₂×#3514	C₂²	semidirect
29. C₂×#3493	C₂²	semidirect
30. C₂×#3519	C₂²	semidirect
31. C₂×#3506	C₂²	semidirect
32. C₂×#3483	C₂²	semidirect
33. C₂²×Q₈²	C₂²	semidirect
34. C₂²×#559	C₂²	semidirect
35. C₂²×#557	C₂²	semidirect
36. C₂×#3475	C₂²	semidirect
37. C₂×#3475	C₂²	semidirect
38. C₂²×#555	C₂²	semidirect
39. C₂²×#555	C₂²	semidirect
40. C₂²×#555	C₂²	semidirect
41. C₂²×#555	C₂²	semidirect
42. C₂²×#555	C₂²	semidirect
43. C₂²×#555	C₂²	semidirect
44. C₂²×#555	C₂²	semidirect
45. C₂²×#555	C₂²	semidirect
46. C₂²×#556	C₂²	semidirect
47. C₂²×#556	C₂²	semidirect
48. C₂²×#556	C₂²	semidirect
49. C₂²×#556	C₂²	semidirect
50. C₂²×#553	C₂²	semidirect
51. C₂²×#553	C₂²	semidirect
52. C₂²×#553	C₂²	semidirect
53. C₂²×#553	C₂²	semidirect
54. C₂²×#552	C₂²	semidirect
55. C₂²×#552	C₂²	semidirect
56. C₂²×#552	C₂²	semidirect
57. C₂²×#551	C₂²	semidirect
58. C₂²×#551	C₂²	semidirect
59. C₂²×#554	C₂²	semidirect
60. C₂²×#554	C₂²	semidirect
61. C₂×D₄×#41	C₂²	semidirect
62. C₂²×#550	C₂²	semidirect
63. C₂²×#550	C₂²	semidirect
64. C₂²×#550	C₂²	semidirect
65. C₂²×#547	C₂²	semidirect
66. C₂²×#547	C₂²	semidirect
67. C₂²×#547	C₂²	semidirect
68. C₂²×#548	C₂²	semidirect
69. C₂²×#548	C₂²	semidirect
70. C₂²×#548	C₂²	semidirect
71. C₂²×#546	C₂²	semidirect
72. C₂²×#546	C₂²	semidirect
73. C₂²×#546	C₂²	semidirect
74. C₂²×#546	C₂²	semidirect
75. C₂²×D₄×Q₈	C₂²	semidirect
76. C₂²×D₄×Q₈	C₂²	semidirect
77. C₂²×D₄²	C₂²	semidirect
78. C₂²×D₄²	C₂²	semidirect
79. C₂²×#542	C₂²	semidirect
80. C₂²×#542	C₂²	semidirect
81. C₂²×#540	C₂²	semidirect
82. C₂²×#544	C₂²	semidirect
83. C₂²×#537	C₂²	semidirect
84. C₂²×#535	C₂²	semidirect
85. C₂²×#538	C₂²	semidirect
86. C₂²×#538	C₂²	semidirect
87. C₂²×#533	C₂²	semidirect
88. C₂²×#533	C₂²	semidirect
89. C₂²×#532	C₂²	semidirect
90. C₂²×#532	C₂²	semidirect
91. C₂²×#532	C₂²	semidirect
92. C₂³×C₄⋊Q₈	C₂²	semidirect
93. C₂²×#529	C₂²	semidirect
94. C₂²×#529	C₂²	semidirect
95. C₂²×#529	C₂²	semidirect
96. C₂²×#529	C₂²	semidirect
97. C₂³×#124	C₂²	semidirect
98. C₂²×#525	C₂²	semidirect
99. C₂²×#525	C₂²	semidirect
100. C₂²×#525	C₂²	semidirect
101. C₂³×#121	C₂²	semidirect
102. C₂³×#121	C₂²	semidirect
103. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
104. C₂×#3428	C₂²	semidirect
107. C₂²×#520	C₂²	semidirect
108. C₂²×#520	C₂²	semidirect
109. C₂²×#520	C₂²	semidirect
110. C₂²×#520	C₂²	semidirect
111. C₂²×#519	C₂²	semidirect
112. C₂²×#518	C₂²	semidirect
113. C₂²×#518	C₂²	semidirect
114. C₂²×#518	C₂²	semidirect
116. C₂²×C₄×#41	C₂²	semidirect
117. C₂²×C₄×#41	C₂²	semidirect
118. C₂²×C₄×#41	C₂²	semidirect
119. C₂²×C₄×#41	C₂²	semidirect
120. C₂²×C₄×#41	C₂²	semidirect
121. C₂³×C₄×D₄	C₂²	semidirect
122. C₂³×C₄×D₄	C₂²	semidirect
123. C₂³×C₄×D₄	C₂²	semidirect
124. C₂³×#117	C₂²	semidirect
125. C₂³×#117	C₂²	semidirect
126. C₂³×#117	C₂²	semidirect
148. #3524	C₂³	semidirect
149. #3519	C₂³	semidirect
150. #3518	C₂³	semidirect
151. #3514	C₂³	semidirect
152. #3511	C₂³	semidirect
153. #3506	C₂³	semidirect
154. #3503	C₂³	semidirect
155. #3494	C₂³	semidirect
156. #3493	C₂³	semidirect
157. #3488	C₂³	semidirect
158. #3483	C₂³	semidirect
159. C₂×#559	C₂³	semidirect
160. C₂×Q₈²	C₂³	semidirect
161. C₂×#557	C₂³	semidirect
162. #3475	C₂³	semidirect
163. #3475	C₂³	semidirect
164. C₂×#556	C₂³	semidirect
165. C₂×#556	C₂³	semidirect
166. C₂×#556	C₂³	semidirect
167. C₂×#556	C₂³	semidirect
168. C₂×#555	C₂³	semidirect
169. C₂×#555	C₂³	semidirect
170. C₂×#555	C₂³	semidirect
171. C₂×#555	C₂³	semidirect
172. C₂×#555	C₂³	semidirect
173. C₂×#555	C₂³	semidirect
174. C₂×#555	C₂³	semidirect
175. C₂×#555	C₂³	semidirect
176. C₂×#554	C₂³	semidirect
177. C₂×#554	C₂³	semidirect
178. C₂×#553	C₂³	semidirect
179. C₂×#553	C₂³	semidirect
180. C₂×#553	C₂³	semidirect
181. C₂×#553	C₂³	semidirect
182. C₂×#552	C₂³	semidirect
183. C₂×#552	C₂³	semidirect
184. C₂×#552	C₂³	semidirect
185. C₂×#551	C₂³	semidirect
186. C₂×#551	C₂³	semidirect
187. D₄×#41	C₂³	semidirect
188. C₂×#550	C₂³	semidirect
189. C₂×#550	C₂³	semidirect
190. C₂×#550	C₂³	semidirect
191. C₂×D₄×Q₈	C₂³	semidirect
192. C₂×D₄×Q₈	C₂³	semidirect
193. C₂×#548	C₂³	semidirect
194. C₂×#548	C₂³	semidirect
195. C₂×#548	C₂³	semidirect
196. C₂×#547	C₂³	semidirect
197. C₂×#547	C₂³	semidirect
198. C₂×#547	C₂³	semidirect
199. C₂×#546	C₂³	semidirect
200. C₂×#546	C₂³	semidirect
201. C₂×#546	C₂³	semidirect
202. C₂×#546	C₂³	semidirect
203. C₂×D₄²	C₂³	semidirect
204. C₂×D₄²	C₂³	semidirect
205. C₂×#544	C₂³	semidirect
206. C₂×#542	C₂³	semidirect
207. C₂×#542	C₂³	semidirect
208. C₂×#540	C₂³	semidirect
209. C₂×#538	C₂³	semidirect
210. C₂×#538	C₂³	semidirect
211. C₂×#537	C₂³	semidirect
212. C₂×#535	C₂³	semidirect
213. C₂×#533	C₂³	semidirect
214. C₂×#533	C₂³	semidirect
215. C₂×#532	C₂³	semidirect
216. C₂×#532	C₂³	semidirect
217. C₂×#532	C₂³	semidirect
225. C₂²×C₄⋊Q₈	C₂³	semidirect
228. C₂×#529	C₂³	semidirect
229. C₂×#529	C₂³	semidirect
230. C₂×#529	C₂³	semidirect
231. C₂×#529	C₂³	semidirect
249. C₂²×#124	C₂³	semidirect
250. C₂×#525	C₂³	semidirect
251. C₂×#525	C₂³	semidirect
252. C₂×#525	C₂³	semidirect
287. C₂²×#121	C₂³	semidirect
288. C₂²×#121	C₂³	semidirect
292. C₄×H(5,𝔽₂)	C₂³	semidirect
293. #3428	C₂³	semidirect
296. C₂×#520	C₂³	semidirect
297. C₂×#520	C₂³	semidirect
298. C₂×#520	C₂³	semidirect
299. C₂×#520	C₂³	semidirect
300. C₂×#519	C₂³	semidirect
301. C₂×#518	C₂³	semidirect
302. C₂×#518	C₂³	semidirect
303. C₂×#518	C₂³	semidirect
305. C₂×C₄×#41	C₂³	semidirect
306. C₂×C₄×#41	C₂³	semidirect
307. C₂×C₄×#41	C₂³	semidirect
308. C₂×C₄×#41	C₂³	semidirect
309. C₂×C₄×#41	C₂³	semidirect
352. C₂²×C₄×D₄	C₂³	semidirect
353. C₂²×C₄×D₄	C₂³	semidirect
354. C₂²×C₄×D₄	C₂³	semidirect
371. C₂²×#117	C₂³	semidirect
372. C₂²×#117	C₂³	semidirect
373. C₂²×#117	C₂³	semidirect
403. C₂²×#41	#41	semidirect
466. #559	C₂⁴	semidirect
467. Q₈²	C₂⁴	semidirect
468. #557	C₂⁴	semidirect
469. #556	C₂⁴	semidirect
470. #556	C₂⁴	semidirect
471. #556	C₂⁴	semidirect
472. #556	C₂⁴	semidirect
473. #555	C₂⁴	semidirect
474. #555	C₂⁴	semidirect
475. #555	C₂⁴	semidirect
476. #555	C₂⁴	semidirect
477. #555	C₂⁴	semidirect
478. #555	C₂⁴	semidirect
479. #555	C₂⁴	semidirect
480. #554	C₂⁴	semidirect
481. #554	C₂⁴	semidirect
482. #553	C₂⁴	semidirect
483. #553	C₂⁴	semidirect
484. #553	C₂⁴	semidirect
485. #553	C₂⁴	semidirect
486. #552	C₂⁴	semidirect
487. #552	C₂⁴	semidirect
488. #552	C₂⁴	semidirect
489. #551	C₂⁴	semidirect
490. #551	C₂⁴	semidirect
491. #550	C₂⁴	semidirect
492. #550	C₂⁴	semidirect
493. #550	C₂⁴	semidirect
494. D₄×Q₈	C₂⁴	semidirect
495. D₄×Q₈	C₂⁴	semidirect
496. #548	C₂⁴	semidirect
497. #548	C₂⁴	semidirect
498. #548	C₂⁴	semidirect
499. #547	C₂⁴	semidirect
500. #547	C₂⁴	semidirect
501. #547	C₂⁴	semidirect
502. #546	C₂⁴	semidirect
503. #546	C₂⁴	semidirect
504. #546	C₂⁴	semidirect
505. #546	C₂⁴	semidirect
506. D₄²	C₂⁴	semidirect
507. D₄²	C₂⁴	semidirect
508. #544	C₂⁴	semidirect
509. #542	C₂⁴	semidirect
510. #542	C₂⁴	semidirect
511. #540	C₂⁴	semidirect
512. #538	C₂⁴	semidirect
513. #538	C₂⁴	semidirect
514. #537	C₂⁴	semidirect
515. #535	C₂⁴	semidirect
516. #533	C₂⁴	semidirect
517. #533	C₂⁴	semidirect
518. #532	C₂⁴	semidirect
519. #532	C₂⁴	semidirect
520. #532	C₂⁴	semidirect
528. C₂×C₄⋊Q₈	C₂⁴	semidirect
531. #529	C₂⁴	semidirect
532. #529	C₂⁴	semidirect
533. #529	C₂⁴	semidirect
534. #529	C₂⁴	semidirect
552. C₂×#124	C₂⁴	semidirect
553. #525	C₂⁴	semidirect
554. #525	C₂⁴	semidirect
555. #525	C₂⁴	semidirect
590. C₂×#121	C₂⁴	semidirect
591. C₂×#121	C₂⁴	semidirect
597. #520	C₂⁴	semidirect
598. #520	C₂⁴	semidirect
599. #520	C₂⁴	semidirect
600. #520	C₂⁴	semidirect
601. #519	C₂⁴	semidirect
602. #518	C₂⁴	semidirect
603. #518	C₂⁴	semidirect
604. #518	C₂⁴	semidirect
606. C₄×#41	C₂⁴	semidirect
607. C₄×#41	C₂⁴	semidirect
608. C₄×#41	C₂⁴	semidirect
609. C₄×#41	C₂⁴	semidirect
610. C₄×#41	C₂⁴	semidirect
653. C₂×C₄×D₄	C₂⁴	semidirect
654. C₂×C₄×D₄	C₂⁴	semidirect
655. C₂×C₄×D₄	C₂⁴	semidirect
672. C₂×#117	C₂⁴	semidirect
673. C₂×#117	C₂⁴	semidirect
674. C₂×#117	C₂⁴	semidirect
766. C₂×#41	C₂×#41	semidirect
1101. #41	C₂²×#41	semidirect
1370. C₂²	#62994	direct (N × H)
1393. C₂	C₂×#62994	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#62994	2
C₂²×#3511	2
C₂²×#3494	2
C₂²×#3503	2
C₂²×#3488	2
C₂²×#3524	2
C₂²×#3518	2
C₂²×#3514	2
C₂²×#3493	2
C₂²×#3519	2
C₂²×#3506	2
C₂²×#3483	2
C₂²×#3475	2
C₂³×#555	2
C₂²×D₄×#41	2
C₂²×C₄×H(5,𝔽₂)	2
C₂²×#3428	2

Subgroups — C22×#62994 #72301082

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62994 #72301082