Subgroups — #7741520

Order 512.

8396 conjugacy classes of subgroups.

The subgroup lattice has 1226 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
3	#51902	C₂	1	4	yes	maximal, complemented
4	#51752	C₂	1	4	yes	maximal, complemented
5	#51068	C₂	1	4	yes	maximal, complemented
6	#50690	C₂	1	4	yes	maximal, complemented
7	#50655	C₂	1	8	yes	maximal, complemented
8	#45999	C₂	1	4	yes	maximal, complemented
9	#45996	C₂	1	4	yes	maximal, complemented
10	#39333	C₂	1	4	yes	maximal, complemented
11	#39135	C₂	1	4	yes	maximal, complemented
12	#37645	C₂	1	4	yes	maximal, complemented
13	#37644	C₂	1	4	yes	maximal, complemented
14	#37606	C₂	1	1	yes	maximal, characteristic, complemented
15	#37536	C₂	1	1	yes	maximal, characteristic, complemented
16	#36967	C₂	1	2	yes	maximal, complemented
17	#36703	C₂	1	2	yes	maximal, complemented
18	#35466	C₂	1	2	yes	maximal, complemented
19	#35390	C₂	1	2	yes	maximal, complemented
20	#35329	C₂	1	1	yes	maximal, characteristic, complemented
21	#35131	C₂	1	1	yes	maximal, characteristic, complemented
22	#34240	C₂	1	1	yes	maximal, characteristic, complemented
23	#3558	—	2	16	no	—
24	C₂×#562	C₂²	1	2	yes	complemented
25	C₂×H(3,𝔽₄)	—	2	16	no	—
26	C₂×H(3,𝔽₄)	C₂²	1	4	yes	complemented
27	C₂×H(3,𝔽₄)	C₂²	1	4	yes	complemented
28	C₂×H(3,𝔽₄)	C₂²	1	4	yes	complemented
29	C₂×H(3,𝔽₄)	C₂²	1	4	yes	complemented
30	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
31	C₂×#559	C₂²	1	2	yes	complemented
32	C₂×#548	C₂²	1	2	yes	complemented
33	C₂×#546	C₂²	1	4	yes	complemented
34	C₂×#546	C₂²	1	2	yes	complemented
35	C₂×D₄²	C₂²	1	2	yes	—
36	C₂×#542	C₂²	1	2	yes	complemented
37	C₂×#538	C₂²	1	2	yes	complemented
38	C₂×#538	C₂²	1	4	yes	complemented
39	C₂×#536	C₂²	1	2	yes	complemented
40	C₂×#535	C₂²	1	2	yes	complemented
41	C₂×#535	C₂²	1	2	yes	complemented
42	C₂×#534	C₂²	1	4	yes	complemented
43	C₂×#534	C₂²	1	2	yes	complemented
44	C₂×#532	C₂²	1	1	yes	characteristic, complemented
45	C₂×#529	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#124	C₂²	1	1	yes	characteristic
47	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#124	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#124	C₂²	1	2	yes	complemented
50	C₂²×#124	C₂²	1	2	yes	complemented
51	C₂²×#124	C₂²	1	2	yes	complemented
52	C₂²×#120	C₂²	1	2	yes	—
53	C₂²×#120	C₂²	1	2	yes	complemented
54	C₂²×#120	C₂²	1	2	yes	complemented
55	C₂²×#120	C₂²	1	4	yes	complemented
56	#2861	C₂²	1	2	yes	complemented
57	#2858	C₂²	1	4	yes	complemented
58	#2858	C₂²	1	2	yes	complemented
59	#2854	C₂²	1	4	yes	complemented
60	#2846	C₂²	1	4	yes	complemented
61	#2820	C₂²	1	2	yes	complemented
62	#2819	C₂²	1	4	yes	complemented
63	#2819	C₂²	1	2	yes	complemented
64	#2733	C₂²	1	8	yes	complemented
65	#2733	C₂²	1	8	yes	complemented
66	#2730	C₂²	1	8	yes	complemented
67	#2730	C₂²	1	8	yes	complemented
68	#2710	C₂²	1	8	yes	complemented
69	#2710	C₂²	1	8	yes	complemented
70	#2685	C₂²	1	8	yes	complemented
71	#2679	C₂²	1	8	yes	complemented
72	#2678	C₂²	1	8	yes	complemented
73	#2678	C₂²	1	8	yes	complemented
74	#2678	C₂²	1	8	yes	complemented
75	#2676	C₂²	1	8	yes	complemented
76	#2674	C₂²	1	8	yes	complemented
77	#2672	C₂²	1	8	yes	complemented
78	#2670	C₂²	1	8	yes	complemented
79	#2670	C₂²	1	8	yes	complemented
80	#2670	C₂²	1	8	yes	complemented
81	#2670	C₂²	1	8	yes	complemented
82	#2670	C₂²	1	8	yes	complemented
83	#2669	C₂²	1	8	yes	complemented
84	#2669	C₂²	1	8	yes	complemented
85	#2669	C₂²	1	8	yes	complemented
86	#2669	C₂²	1	8	yes	complemented
87	#2668	C₂²	1	8	yes	complemented
88	#2662	C₂²	1	4	yes	complemented
89	#2662	C₂²	1	4	yes	complemented
90	#2658	C₂²	1	2	yes	complemented
91	#2657	C₂²	1	2	yes	complemented
92	#2657	C₂²	1	2	yes	complemented
93	#2640	C₂²	1	2	yes	complemented
94	#2632	C₂²	1	2	yes	complemented
95	#2631	C₂²	1	4	yes	complemented
96	#2631	C₂²	1	2	yes	complemented
97	#2617	C₂²	1	4	yes	complemented
98	#2617	C₂²	1	4	yes	complemented
99	#2614	C₂²	1	2	yes	complemented
100	#2613	C₂²	1	4	yes	complemented
101	#2613	C₂²	1	2	yes	complemented
102	#2610	C₂²	1	4	yes	complemented
103	#2610	C₂²	1	4	yes	complemented
104	#2561	C₂²	1	2	yes	complemented
105	#2557	C₂²	1	8	yes	complemented
106	#2555	C₂²	1	8	yes	complemented
107	#2555	C₂²	1	8	yes	complemented
108	#2548	C₂²	1	8	yes	complemented
109	#2545	C₂²	1	2	yes	complemented
110	#2544	C₂²	1	2	yes	complemented
111	#2544	C₂²	1	4	yes	complemented
112	#2540	C₂²	1	4	yes	complemented
113	#2540	C₂²	1	4	yes	complemented
114	#2539	C₂²	1	4	yes	complemented
115	#2539	C₂²	1	2	yes	complemented
116	#2539	C₂²	1	2	yes	complemented
117	#2539	C₂²	1	2	yes	complemented
118	#2539	C₂²	1	4	yes	complemented
119	#2539	C₂²	1	8	yes	complemented
120	#2539	C₂²	1	8	yes	complemented
121	#2534	C₂²	1	4	yes	complemented
122	#2534	C₂²	1	4	yes	complemented
123	#2521	C₂²	1	8	yes	complemented
124	#2491	C₂²	1	8	yes	complemented
125	#2491	C₂²	1	8	yes	complemented
126	#2472	C₂²	1	8	yes	complemented
127	#2472	C₂²	1	8	yes	complemented
128	#2461	C₂²	1	8	yes	complemented
129	#2448	C₂²	1	8	yes	complemented
130	#2436	C₂²	1	1	yes	characteristic, complemented
131	#2436	C₂²	1	2	yes	complemented
132	#2435	C₂²	1	1	yes	characteristic, complemented
133	#2434	C₂²	1	1	yes	characteristic, complemented
134	#2433	C₂²	1	1	yes	characteristic
135	#2433	C₂²	1	4	yes	complemented
136	#2433	C₂²	1	2	yes	complemented
137	#2433	C₂²	1	8	yes	complemented
138	#2433	C₂²	1	8	yes	complemented
139	#2433	C₂²	1	8	yes	complemented
140	#2431	C₂²	1	8	yes	complemented
141	#2426	C₂²	1	8	yes	complemented
142	#2424	C₂²	1	8	yes	complemented
143	#2424	C₂²	1	8	yes	complemented
144	#2418	C₂²	1	8	yes	complemented
145	#2412	C₂²	1	4	yes	complemented
146	#2411	C₂²	1	4	yes	complemented
147	#2410	C₂²	1	4	yes	complemented
148	#2410	C₂²	1	8	yes	complemented
149	#2408	C₂²	1	4	yes	complemented
150	#2408	C₂²	1	8	yes	complemented
151	#2405	C₂²	1	4	yes	complemented
152	#2404	C₂²	1	4	yes	complemented
153	#2403	C₂²	1	4	yes	complemented
154	#2403	C₂²	1	8	yes	complemented
155	#2372	C₂²	1	4	yes	complemented
156	#2367	C₂²	1	4	yes	complemented
157	#2342	C₂²	1	4	yes	complemented
158	Q₈×C₂²⋊C₄	C₂²	1	2	yes	complemented
159	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
160	#2337	C₂²	1	4	yes	complemented
161	#2321	C₂²	1	4	yes	complemented
162	#2321	C₂²	1	4	yes	complemented
163	#2312	C₂²	1	2	yes	complemented
164	C₄×#124	C₂²	1	4	yes	complemented
165	C₄×#123	C₂²	1	4	yes	complemented
166	#2283	C₂²	1	1	yes	characteristic, complemented
167	#2273	C₂²	1	2	yes	complemented
168	C₄×#117	C₂²	1	1	yes	characteristic, complemented
169	C₂⁶	C₂³	1	2	yes	—
170	C₂²×#41	C₂³	1	2	yes	—
171	C₂²×#41	C₂³	1	2	yes	complemented
172	C₂³×Q₈	C₂³	1	1	yes	characteristic
173	C₂³×Q₈	C₂³	1	1	yes	characteristic
174	C₂³×Q₈	C₂³	1	1	yes	characteristic
175	C₂³×D₄	C₂³	1	2	yes	—
176	C₂³×D₄	C₂³	1	1	yes	characteristic
177	C₂³×D₄	C₂³	1	4	yes	—
178	C₂³×D₄	C₂³	1	2	yes	—
179	C₂³×D₄	C₂³	1	2	yes	—
180	C₂³×D₄	C₂³	1	2	yes	—
181	C₂³×D₄	C₂³	1	1	yes	characteristic
182	C₂³×D₄	C₂³	1	1	yes	characteristic
183	C₂³×D₄	C₂³	1	8	yes	complemented
184	#562	—	2	16	no	—
185	H(3,𝔽₄)	—	2	32	no	—
186	H(3,𝔽₄)	—	2	32	no	—
187	H(3,𝔽₄)	—	2	32	no	—
188	H(3,𝔽₄)	—	2	32	no	—
189	H(3,𝔽₄)	—	2	16	no	—
190	#559	—	2	16	no	—
191	#548	—	2	16	no	—
192	#546	—	2	16	no	—
193	#546	—	2	32	no	—
194	D₄²	—	2	16	no	—
195	#542	—	2	16	no	—
196	#538	—	2	32	no	—
197	#538	—	2	16	no	—
198	#536	—	4	8	no	—
199	#535	—	2	16	no	—
200	#535	—	4	8	no	—
201	#534	—	2	16	no	—
202	#534	—	4	16	no	—
203	#532	—	2	8	no	—
204	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
205	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
206	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
207	C₂×#127	C₂³	1	2	yes	—
208	C₂×#127	C₂³	1	4	yes	—
209	C₂×#127	C₂³	1	2	yes	—
210	C₂×#127	C₂³	1	4	yes	—
211	C₂×#127	C₂³	1	8	yes	—
212	C₂×#127	C₂³	1	1	yes	characteristic, complemented
213	#529	—	2	8	no	—
214	C₂×#126	C₂³	1	2	yes	complemented
215	C₂×#126	C₂³	1	4	yes	complemented
216	C₂×#125	C₂³	1	1	yes	characteristic, complemented
217	C₂×#124	—	2	16	no	—
218	C₂×#124	—	2	16	no	—
219	C₂×#124	—	2	16	no	—
220	C₂×#124	—	2	8	no	—
221	C₂×#124	—	2	8	no	—
222	C₂×#124	D₄	1	16	yes	complemented
223	C₂×#124	C₂³	1	2	yes	—
224	C₂×#124	C₂³	1	2	yes	—
225	C₂×#124	C₂³	1	2	yes	—
226	C₂×#124	C₂³	1	2	yes	—
227	C₂×#124	C₂³	1	2	yes	—
228	C₂×#124	C₂³	1	2	yes	—
229	C₂×#124	C₂³	1	2	yes	—
230	C₂×#124	C₂³	1	2	yes	—
231	C₂×#124	C₂³	1	8	yes	—
232	C₂×#124	C₂³	1	8	yes	—
233	C₂×#124	C₂³	1	8	yes	—
234	C₂×#124	C₂³	1	8	yes	—
235	C₂×#124	C₂³	1	8	yes	—
236	C₂×#124	C₂³	1	8	yes	—
237	C₂×#124	C₂³	1	4	yes	—
238	C₂×#124	C₂³	1	2	yes	—
239	C₂×#124	C₂³	1	2	yes	—
240	C₂×#124	C₂³	1	2	yes	—
241	C₂×#124	C₂³	1	2	yes	—
242	C₂×#124	C₂³	1	2	yes	—
243	C₂×#124	C₂³	1	1	yes	characteristic, complemented
244	C₂×#124	C₂³	1	2	yes	complemented
245	C₂×#124	C₂³	1	4	yes	complemented
246	C₂×#124	C₂³	1	4	yes	complemented
247	C₂×#124	C₂³	1	2	yes	complemented
248	C₂×#124	C₂³	1	4	yes	complemented
249	C₂×#124	C₂³	1	4	yes	complemented
250	C₂×#124	C₂³	1	2	yes	complemented
251	C₂×#124	C₂³	1	4	yes	complemented
252	C₂×#123	C₂³	1	2	yes	—
253	C₂×#123	C₂³	1	4	yes	—
254	C₂×#123	C₂³	1	4	yes	—
255	C₂×#123	C₂³	1	4	yes	—
256	C₂×#123	C₂³	1	8	yes	—
257	C₂×#123	C₂³	1	4	yes	complemented
258	C₂×#123	C₂³	1	4	yes	complemented
259	C₂×#123	C₂³	1	4	yes	complemented
260	C₂×#123	C₂³	1	4	yes	complemented
261	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
263	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
264	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
265	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
266	C₂×#121	C₂³	1	4	yes	—
267	C₂×#121	C₂³	1	2	yes	—
268	C₂×#121	C₂³	1	2	yes	—
269	C₂×#121	C₂³	1	1	yes	characteristic
270	C₂×#121	C₂³	1	2	yes	—
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	8	yes	—
273	C₂×#121	C₂³	1	8	yes	—
274	C₂×#121	C₂³	1	8	yes	—
275	C₂×#121	C₂³	1	8	yes	—
276	C₂×#121	C₂³	1	8	yes	—
277	C₂×#121	C₂³	1	4	yes	complemented
278	C₂×#121	C₂³	1	4	yes	complemented
279	C₂×#121	C₂³	1	4	yes	complemented
280	C₂×#120	—	2	16	no	—
281	C₂×#120	—	2	16	no	—
282	C₂×#120	—	2	16	no	—
283	C₂×#120	—	4	16	no	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	8	yes	—
288	C₂×#120	C₂³	1	8	yes	—
289	C₂×#120	C₂³	1	8	yes	—
290	C₂×#120	C₂³	1	8	yes	—
291	C₂×#120	C₂³	1	8	yes	—
292	C₂×#120	C₂³	1	8	yes	—
293	C₂×#120	C₂³	1	4	yes	—
294	C₂×#120	C₂³	1	4	yes	—
295	C₂×#120	C₂³	1	4	yes	—
296	C₂×#120	C₂³	1	4	yes	—
297	C₂×#120	C₂³	1	4	yes	—
298	C₂×#120	C₂³	1	8	yes	—
299	C₂×#120	C₂³	1	8	yes	—
300	C₂×#120	C₂³	1	4	yes	complemented
301	C₂×#120	C₂³	1	4	yes	complemented
302	C₂×#120	C₂³	1	4	yes	complemented
303	C₂×#120	C₂³	1	8	yes	complemented
304	C₂×#120	C₂³	1	8	yes	complemented
305	C₂×#120	C₂³	1	8	yes	complemented
306	C₂×#120	C₂³	1	8	yes	complemented
307	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
308	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
309	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
310	C₂×C₄×D₄	C₂³	1	2	yes	—
311	C₂×C₄×D₄	C₂³	1	4	yes	—
312	C₂×C₄×D₄	C₂³	1	2	yes	—
313	C₂×C₄×D₄	C₂³	1	4	yes	—
314	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
315	C₂×C₄×D₄	C₂³	1	2	yes	complemented
316	C₂×C₄×D₄	C₂³	1	2	yes	complemented
317	C₂×C₄×D₄	C₂³	1	4	yes	complemented
318	C₂×#117	C₂³	1	2	yes	—
319	C₂×#117	C₂³	1	2	yes	complemented
320	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
331	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
332	C₂²×C₄²	C₂³	1	2	yes	—
333	C₂²×C₄²	C₂³	1	1	yes	characteristic
334	#399	C₂³	1	4	yes	complemented
335	#399	C₂³	1	8	yes	complemented
336	#399	C₂³	1	4	yes	complemented
337	#399	C₂³	1	4	yes	complemented
338	#399	C₂³	1	8	yes	complemented
339	#397	C₂³	1	4	yes	complemented
340	#397	C₂³	1	8	yes	complemented
341	#397	C₂³	1	8	yes	complemented
342	#397	C₂³	1	8	yes	complemented
343	#396	C₂³	1	8	yes	complemented
344	#396	C₂³	1	8	yes	complemented
345	#396	C₂³	1	8	yes	complemented
346	#395	C₂³	1	4	yes	complemented
347	#395	C₂³	1	4	yes	complemented
348	#395	C₂³	1	4	yes	complemented
349	#394	C₂³	1	4	yes	—
350	#394	C₂³	1	4	yes	—
351	#394	C₂³	1	4	yes	—
352	#394	C₂³	1	8	yes	—
353	#394	C₂³	1	8	yes	—
354	#394	C₂³	1	8	yes	—
355	#394	C₂³	1	8	yes	—
356	#394	C₂³	1	8	yes	complemented
357	#394	C₂³	1	8	yes	complemented
358	#394	C₂³	1	8	yes	complemented
359	#394	C₂³	1	8	yes	complemented
360	#394	C₂³	1	8	yes	complemented
361	#394	C₂³	1	8	yes	complemented
362	#394	C₂³	1	8	yes	complemented
363	#394	C₂³	1	8	yes	complemented
364	#394	C₂³	1	8	yes	complemented
365	#394	C₂³	1	8	yes	complemented
366	#393	C₂³	1	4	yes	complemented
367	#393	C₂³	1	4	yes	complemented
368	#393	C₂³	1	8	yes	complemented
369	#393	C₂³	1	8	yes	complemented
370	#393	C₂³	1	4	yes	complemented
371	#393	C₂³	1	4	yes	complemented
372	#392	C₂³	1	4	yes	—
373	#392	C₂³	1	8	yes	—
374	#392	C₂³	1	4	yes	—
375	#392	C₂³	1	4	yes	—
376	#392	C₂³	1	8	yes	—
377	#392	C₂³	1	8	yes	—
378	#392	C₂³	1	8	yes	—
379	#392	C₂³	1	8	yes	—
380	#392	C₂³	1	8	yes	—
381	#392	C₂³	1	8	yes	—
382	#392	C₂³	1	8	yes	—
383	#392	C₂³	1	8	yes	—
384	#392	C₂³	1	4	yes	complemented
385	#392	C₂³	1	8	yes	complemented
386	#392	C₂³	1	8	yes	complemented
387	#392	C₂³	1	8	yes	complemented
388	#392	C₂³	1	8	yes	complemented
389	#392	C₂³	1	4	yes	complemented
390	#392	C₂³	1	4	yes	complemented
391	#392	C₂³	1	8	yes	complemented
392	#391	C₂³	1	8	yes	complemented
393	#391	C₂³	1	4	yes	complemented
394	#391	C₂³	1	2	yes	complemented
395	#391	C₂³	1	2	yes	complemented
396	#391	C₂³	1	4	yes	complemented
397	#390	C₂³	1	4	yes	—
398	#390	C₂³	1	2	yes	—
399	#390	C₂³	1	2	yes	—
400	#390	C₂³	1	4	yes	—
401	#390	C₂³	1	8	yes	—
402	#390	C₂³	1	8	yes	—
403	#390	C₂³	1	8	yes	complemented
404	#390	C₂³	1	8	yes	complemented
405	#390	C₂³	1	8	yes	complemented
406	#390	C₂³	1	8	yes	complemented
407	#390	C₂³	1	8	yes	complemented
408	#390	C₂³	1	8	yes	complemented
409	#390	C₂³	1	8	yes	complemented
410	#390	C₂³	1	8	yes	complemented
411	#390	C₂³	1	8	yes	complemented
412	#390	C₂³	1	8	yes	complemented
413	#390	C₂³	1	8	yes	complemented
414	#389	C₂³	1	8	yes	complemented
415	#388	C₂³	1	8	yes	complemented
416	#388	C₂³	1	8	yes	complemented
417	#388	C₂³	1	8	yes	complemented
418	#388	C₂³	1	8	yes	complemented
419	#388	C₂³	1	8	yes	complemented
420	#388	C₂³	1	8	yes	complemented
421	#388	C₂³	1	8	yes	complemented
422	#388	C₂³	1	8	yes	complemented
423	#388	C₂³	1	8	yes	complemented
424	#388	C₂³	1	8	yes	complemented
425	#388	C₂³	1	8	yes	complemented
426	#388	C₂³	1	8	yes	complemented
427	#388	C₂³	1	8	yes	complemented
428	#388	C₂³	1	8	yes	complemented
429	#388	C₂³	1	8	yes	complemented
430	#387	C₂³	1	8	yes	complemented
431	#386	C₂³	1	4	yes	—
432	#386	C₂³	1	4	yes	—
433	#386	C₂³	1	8	yes	—
434	#386	C₂³	1	4	yes	—
435	#386	C₂³	1	8	yes	—
436	#386	C₂³	1	8	yes	—
437	#386	C₂³	1	8	yes	complemented
438	#386	C₂³	1	8	yes	complemented
439	#386	C₂³	1	8	yes	complemented
440	#386	C₂³	1	8	yes	complemented
441	#386	C₂³	1	8	yes	complemented
442	#386	C₂³	1	8	yes	complemented
443	#386	C₂³	1	8	yes	complemented
444	#385	C₂³	1	4	yes	—
445	#385	C₂³	1	8	yes	complemented
446	#385	C₂³	1	8	yes	complemented
447	#383	C₂³	1	2	yes	complemented
448	#382	C₂³	1	2	yes	complemented
449	#381	C₂³	1	4	yes	—
450	#381	C₂³	1	2	yes	—
451	#380	C₂³	1	4	yes	—
452	#380	C₂³	1	2	yes	—
453	#380	C₂³	1	8	yes	complemented
454	#379	C₂³	1	4	yes	—
455	#379	C₂³	1	4	yes	—
456	#379	C₂³	1	4	yes	—
457	#379	C₂³	1	8	yes	complemented
458	#379	C₂³	1	8	yes	complemented
459	#379	C₂³	1	8	yes	complemented
460	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
461	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
462	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
463	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
464	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
467	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
468	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
470	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
471	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
472	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
473	#376	C₂³	1	2	yes	complemented
474	#376	C₂³	1	2	yes	complemented
475	C₄³	C₂³	1	2	yes	complemented
476	C₂⁵	—	2	8	no	—
477	C₂⁵	—	4	8	no	—
478	C₂⁵	—	8	4	no	—
479	C₂⁵	—	8	4	no	—
480	C₂⁵	C₂⁴	1	2	yes	—
481	C₂⁵	C₂⁴	1	2	yes	—
482	C₂⁵	C₂⁴	1	2	yes	—
483	C₂⁵	C₂⁴	1	8	yes	—
484	C₂⁵	C₂⁴	1	4	yes	—
485	C₂×#41	—	2	8	no	—
486	C₂×#41	—	2	8	no	—
487	C₂×#41	—	4	4	no	—
488	C₂×#41	—	4	4	no	—
489	C₂×#41	—	8	4	no	—
490	C₂²×Q₈	—	2	4	no	—
491	C₂²×Q₈	—	2	4	no	—
492	C₂²×Q₈	—	4	4	no	—
493	C₂²×Q₈	—	8	2	no	—
494	C₂²×Q₈	—	8	2	no	—
495	C₂²×Q₈	C₂×D₄	1	8	yes	complemented
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×Q₈	C₂⁴	1	2	yes	—
498	C₂²×Q₈	C₂⁴	1	2	yes	—
499	C₂²×Q₈	C₂⁴	1	2	yes	—
500	C₂²×Q₈	C₂⁴	1	2	yes	—
501	C₂²×Q₈	C₂⁴	1	2	yes	—
502	C₂²×Q₈	C₂⁴	1	2	yes	—
503	C₂²×Q₈	C₂⁴	1	2	yes	—
504	C₂²×D₄	—	2	8	no	—
505	C₂²×D₄	—	2	8	no	—
506	C₂²×D₄	—	2	16	no	—
507	C₂²×D₄	—	2	8	no	—
508	C₂²×D₄	—	2	4	no	—
509	C₂²×D₄	—	2	8	no	—
510	C₂²×D₄	—	2	4	no	—
511	C₂²×D₄	—	4	16	no	—
512	C₂²×D₄	—	4	8	no	—
513	C₂²×D₄	—	4	4	no	—
514	C₂²×D₄	—	4	8	no	—
515	C₂²×D₄	—	4	8	no	—
516	C₂²×D₄	—	8	2	no	—
517	C₂²×D₄	—	8	4	no	—
518	C₂²×D₄	—	8	4	no	—
519	C₂²×D₄	—	8	2	no	—
520	C₂²×D₄	—	8	4	no	—
521	C₂²×D₄	—	8	8	no	—
522	C₂²×D₄	—	8	8	no	—
523	C₂²×D₄	C₂×D₄	1	8	yes	—
524	C₂²×D₄	C₂⁴	1	4	yes	—
525	C₂²×D₄	C₂⁴	1	2	yes	—
526	C₂²×D₄	C₂⁴	1	4	yes	—
527	C₂²×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×D₄	C₂⁴	1	2	yes	—
529	C₂²×D₄	C₂⁴	1	2	yes	—
530	C₂²×D₄	C₂⁴	1	8	yes	—
531	C₂²×D₄	C₂⁴	1	8	yes	—
532	C₂²×D₄	C₂⁴	1	2	yes	—
533	C₂²×D₄	C₂⁴	1	8	yes	—
534	C₂²×D₄	C₂⁴	1	2	yes	—
535	C₂²×D₄	C₂⁴	1	2	yes	—
536	C₂²×D₄	C₂⁴	1	2	yes	—
537	C₂²×D₄	C₂⁴	1	8	yes	—
538	C₂²×D₄	C₂⁴	1	4	yes	—
539	C₂²×D₄	C₂⁴	1	4	yes	—
540	C₂²×D₄	C₂⁴	1	8	yes	—
541	C₂²×D₄	C₂⁴	1	4	yes	—
542	C₂²×D₄	C₂⁴	1	4	yes	—
543	C₂²×D₄	C₂⁴	1	2	yes	—
544	C₂²×D₄	C₂⁴	1	8	yes	—
545	C₂²×D₄	C₂⁴	1	8	yes	—
546	C₂²×D₄	C₂⁴	1	8	yes	—
547	C₂²×D₄	C₂⁴	1	8	yes	—
548	C₂²×D₄	C₂⁴	1	2	yes	—
549	C₂²×D₄	C₂⁴	1	2	yes	—
550	C₂³×C₄	C₂⁴	1	2	yes	—
551	C₂³×C₄	C₂⁴	1	1	yes	characteristic
552	C₂³×C₄	C₂⁴	1	2	yes	—
553	C₂³×C₄	C₂⁴	1	8	yes	—
554	C₂³×C₄	C₂⁴	1	4	yes	—
555	C₂³×C₄	C₂⁴	1	4	yes	—
556	C₂³×C₄	C₂⁴	1	4	yes	—
557	C₂³×C₄	C₂⁴	1	2	yes	—
558	C₂³×C₄	C₂⁴	1	2	yes	—
559	C₂³×C₄	C₂⁴	1	1	yes	characteristic
560	C₂³×C₄	C₂⁴	1	1	yes	characteristic
561	C₄⋊Q₈	—	2	4	no	—
562	C₄⋊Q₈	—	4	8	no	—
563	C₄⋊Q₈	—	8	2	no	—
564	#127	—	2	8	no	—
565	#127	—	2	4	no	—
566	#127	—	4	8	no	—
567	#127	—	8	8	no	—
568	#127	—	8	4	no	—
569	#127	—	8	2	no	—
570	#126	—	2	16	no	—
571	#126	—	2	8	no	—
572	#125	—	2	4	no	—
573	#124	—	2	32	no	—
574	#124	—	2	32	no	—
575	#124	—	2	8	no	—
576	#124	—	2	16	no	—
577	#124	—	2	32	no	—
578	#124	—	2	32	no	—
579	#124	—	2	32	no	—
580	#124	—	2	32	no	—
581	#124	—	2	16	no	—
582	#124	—	2	16	no	—
583	#124	—	2	8	no	—
584	#124	—	2	8	no	—
585	#124	—	2	8	no	—
586	#124	—	2	8	no	—
587	#124	—	2	8	no	—
588	#124	—	2	8	no	—
589	#124	—	2	8	no	—
590	#124	—	2	8	no	—
591	#124	—	2	4	no	—
592	#124	—	2	8	no	—
593	#124	—	4	8	no	—
594	#124	—	4	8	no	—
595	#124	—	8	2	no	—
596	#124	—	8	2	no	—
597	#124	—	8	4	no	—
598	#124	C₂×D₄	1	16	yes	complemented
599	#124	C₂×D₄	1	16	yes	complemented
600	#124	C₂×D₄	1	16	yes	complemented
601	#124	C₂×D₄	1	16	yes	complemented
602	#123	—	2	8	no	—
603	#123	—	2	16	no	—
604	#123	—	2	16	no	—
605	#123	—	2	16	no	—
606	#123	—	2	16	no	—
607	#123	—	2	16	no	—
608	#123	—	4	16	no	—
609	#123	—	4	8	no	—
610	#123	—	4	8	no	—
611	C₂²⋊Q₈	—	2	16	no	—
612	C₂²⋊Q₈	—	2	8	no	—
613	C₂²⋊Q₈	—	2	4	no	—
614	C₂²⋊Q₈	—	2	16	no	—
615	C₂²⋊Q₈	—	4	16	no	—
616	#121	—	2	16	no	—
617	#121	—	2	8	no	—
618	#121	—	2	4	no	—
619	#121	—	2	8	no	—
620	#121	—	2	8	no	—
621	#121	—	2	16	no	—
622	#121	—	2	16	no	—
623	#121	—	2	16	no	—
624	#121	—	2	16	no	—
625	#121	—	4	16	no	—
626	#121	—	4	16	no	—
627	#121	—	4	16	no	—
628	#121	—	8	8	no	—
629	#121	—	8	8	no	—
630	#120	—	2	16	no	—
631	#120	—	2	32	no	—
632	#120	—	2	32	no	—
633	#120	—	2	16	no	—
634	#120	—	2	32	no	—
635	#120	—	2	32	no	—
636	#120	—	2	32	no	—
637	#120	—	2	32	no	—
638	#120	—	2	16	no	—
639	#120	—	2	16	no	—
640	#120	—	2	16	no	—
641	#120	—	2	16	no	—
642	#120	—	2	16	no	—
643	#120	—	4	16	no	—
644	#120	—	4	16	no	—
645	#120	—	4	16	no	—
646	#120	—	4	8	no	—
647	#120	—	4	8	no	—
648	#120	—	4	8	no	—
649	#120	—	4	8	no	—
650	#120	—	8	8	no	—
651	#120	—	8	8	no	—
652	#120	—	8	8	no	—
653	C₄×Q₈	—	2	8	no	—
654	C₄×Q₈	—	2	4	no	—
655	C₄×Q₈	—	8	4	no	—
656	C₄×D₄	—	2	8	no	—
657	C₄×D₄	—	2	8	no	—
658	C₄×D₄	—	2	16	no	—
659	C₄×D₄	—	2	16	no	—
660	C₄×D₄	—	2	4	no	—
661	C₄×D₄	—	2	8	no	—
662	C₄×D₄	—	2	8	no	—
663	C₄×D₄	—	8	4	no	—
664	#117	—	2	8	no	—
665	#117	—	2	8	no	—
666	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
668	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
669	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
671	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
678	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
680	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
681	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
683	C₂×C₂²⋊C₄	—	2	8	no	—
684	C₂×C₂²⋊C₄	—	2	8	no	—
685	C₂×C₂²⋊C₄	—	2	8	no	—
686	C₂×C₂²⋊C₄	—	2	8	no	—
687	C₂×C₂²⋊C₄	—	2	8	no	—
688	C₂×C₂²⋊C₄	—	2	8	no	—
689	C₂×C₂²⋊C₄	—	2	8	no	—
690	C₂×C₂²⋊C₄	—	2	16	no	—
691	C₂×C₂²⋊C₄	—	2	16	no	—
692	C₂×C₂²⋊C₄	—	4	16	no	—
693	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
694	C₂×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
695	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
696	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
697	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
711	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
725	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
734	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₄²	—	2	8	no	—
745	C₂×C₄²	C₂×D₄	1	8	yes	complemented
746	C₂×C₄²	C₂⁴	1	4	yes	—
747	C₂×C₄²	C₂⁴	1	2	yes	—
748	C₂×C₄²	C₂⁴	1	4	yes	—
749	C₂×C₄²	C₂⁴	1	8	yes	—
750	C₂×C₄²	C₂⁴	1	4	yes	—
751	C₂×C₄²	C₂⁴	1	8	yes	—
752	C₂×C₄²	C₂⁴	1	2	yes	—
753	C₂×C₄²	C₂⁴	1	4	yes	—
754	C₂×C₄²	C₂⁴	1	2	yes	—
755	C₂×C₄²	C₂⁴	1	1	yes	characteristic
756	C₂×C₄²	C₂⁴	1	1	yes	characteristic
757	C₂×C₄²	C₂⁴	1	1	yes	characteristic
758	C₂×C₄²	C₂⁴	1	1	yes	characteristic
759	#95	C₂⁴	1	2	yes	—
760	#95	C₂⁴	1	4	yes	—
761	#95	C₂⁴	1	2	yes	—
762	#95	C₂⁴	1	4	yes	—
763	#95	C₂⁴	1	4	yes	—
764	#95	C₂⁴	1	4	yes	—
765	#95	C₂⁴	1	8	yes	—
766	#95	C₂⁴	1	8	yes	—
767	#95	C₂⁴	1	8	yes	—
768	#95	C₂⁴	1	8	yes	—
769	#95	C₂⁴	1	8	yes	—
770	#95	C₂⁴	1	4	yes	—
771	#95	C₂⁴	1	8	yes	—
772	#95	C₂⁴	1	8	yes	—
773	#95	C₂⁴	1	8	yes	—
774	C₂⁴	—	2	8	no	—
775	C₂⁴	—	2	4	no	—
776	C₂⁴	—	2	4	no	—
777	C₂⁴	—	2	8	no	—
778	C₂⁴	—	2	8	no	—
779	C₂⁴	—	2	8	no	—
780	C₂⁴	—	2	16	no	—
781	C₂⁴	—	4	8	no	—
782	C₂⁴	—	4	4	no	—
783	C₂⁴	—	4	4	no	—
784	C₂⁴	—	4	4	no	—
785	C₂⁴	—	4	4	no	—
786	C₂⁴	—	4	4	no	—
787	C₂⁴	—	4	4	no	—
788	C₂⁴	—	4	8	no	—
789	C₂⁴	—	4	8	no	—
790	C₂⁴	—	4	8	no	—
791	C₂⁴	—	4	8	no	—
792	C₂⁴	—	4	8	no	—
793	C₂⁴	—	4	4	no	—
794	C₂⁴	—	4	8	no	—
795	C₂⁴	—	4	8	no	—
796	C₂⁴	—	4	4	no	—
797	C₂⁴	—	8	16	no	—
798	C₂⁴	—	8	16	no	—
799	C₂⁴	—	8	16	no	—
800	C₂⁴	—	8	64	no	—
801	C₂⁴	C₂²×D₄	1	8	yes	—
802	C₂⁴	C₂⁵	1	4	yes	—
803	C₂⁴	C₂⁵	1	4	yes	—
804	C₂⁴	C₂⁵	1	2	yes	—
805	C₂⁴	C₂⁵	1	4	yes	—
806	C₂⁴	C₂⁵	1	4	yes	—
807	C₂⁴	C₂⁵	1	1	yes	characteristic
808	#41	—	8	16	no	—
809	#41	—	8	16	no	—
810	C₂×Q₈	—	2	2	no	—
811	C₂×Q₈	—	2	4	no	—
812	C₂×Q₈	—	2	4	no	—
813	C₂×Q₈	—	2	4	no	—
814	C₂×Q₈	—	2	4	no	—
815	C₂×Q₈	—	2	4	no	—
816	C₂×Q₈	—	4	4	no	—
817	C₂×Q₈	—	4	4	no	—
818	C₂×Q₈	—	4	4	no	—
819	C₂×Q₈	—	4	2	no	—
820	C₂×Q₈	—	4	4	no	—
821	C₂×Q₈	—	4	2	no	—
822	C₂×Q₈	—	4	4	no	—
823	C₂×Q₈	—	4	2	no	—
824	C₂×Q₈	—	4	2	no	—
825	C₂×Q₈	—	4	2	no	—
826	C₂×Q₈	—	8	8	no	—
827	C₂×Q₈	—	8	8	no	—
828	C₂×Q₈	—	8	8	no	—
829	C₂×Q₈	C₂²×D₄	1	8	yes	—
830	C₂×Q₈	C₂²×D₄	1	8	yes	—
831	C₂×D₄	—	2	8	no	—
832	C₂×D₄	—	2	4	no	—
833	C₂×D₄	—	2	8	no	—
834	C₂×D₄	—	2	8	no	—
835	C₂×D₄	—	2	8	no	—
836	C₂×D₄	—	2	8	no	—
837	C₂×D₄	—	2	16	no	—
838	C₂×D₄	—	2	16	no	—
839	C₂×D₄	—	2	8	no	—
840	C₂×D₄	—	2	8	no	—
841	C₂×D₄	—	2	8	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	16	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	4	no	—
850	C₂×D₄	—	2	8	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	16	no	—
853	C₂×D₄	—	2	16	no	—
854	C₂×D₄	—	4	4	no	—
855	C₂×D₄	—	4	4	no	—
856	C₂×D₄	—	4	4	no	—
857	C₂×D₄	—	4	8	no	—
858	C₂×D₄	—	4	8	no	—
859	C₂×D₄	—	4	4	no	—
860	C₂×D₄	—	4	4	no	—
861	C₂×D₄	—	4	8	no	—
862	C₂×D₄	—	4	8	no	—
863	C₂×D₄	—	4	8	no	—
864	C₂×D₄	—	4	8	no	—
865	C₂×D₄	—	4	8	no	—
866	C₂×D₄	—	4	4	no	—
867	C₂×D₄	—	4	4	no	—
868	C₂×D₄	—	4	8	no	—
869	C₂×D₄	—	4	4	no	—
870	C₂×D₄	—	4	8	no	—
871	C₂×D₄	—	4	8	no	—
872	C₂×D₄	—	4	8	no	—
873	C₂×D₄	—	4	8	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	4	no	—
876	C₂×D₄	—	4	4	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	8	no	—
881	C₂×D₄	—	4	8	no	—
882	C₂×D₄	—	4	4	no	—
883	C₂×D₄	—	4	2	no	—
884	C₂×D₄	—	4	8	no	—
885	C₂×D₄	—	4	8	no	—
886	C₂×D₄	—	4	8	no	—
887	C₂×D₄	—	4	8	no	—
888	C₂×D₄	—	4	8	no	—
889	C₂×D₄	—	4	8	no	—
890	C₂×D₄	—	4	8	no	—
891	C₂×D₄	—	4	8	no	—
892	C₂×D₄	—	4	8	no	—
893	C₂×D₄	—	4	8	no	—
894	C₂×D₄	—	4	8	no	—
895	C₂×D₄	—	8	8	no	—
896	C₂×D₄	—	8	8	no	—
897	C₂×D₄	—	8	16	no	—
898	C₂×D₄	—	8	16	no	—
899	C₂×D₄	—	8	16	no	—
900	C₂×D₄	—	8	8	no	—
901	C₂×D₄	—	8	16	no	—
902	C₂×D₄	—	8	32	no	—
903	C₂×D₄	—	8	64	no	—
904	C₂×D₄	C₂²×D₄	1	8	yes	—
905	C₂×D₄	C₂²×D₄	1	8	yes	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	2	4	no	—
909	C₂²×C₄	—	2	8	no	—
910	C₂²×C₄	—	2	8	no	—
911	C₂²×C₄	—	2	4	no	—
912	C₂²×C₄	—	2	8	no	—
913	C₂²×C₄	—	2	8	no	—
914	C₂²×C₄	—	2	16	no	—
915	C₂²×C₄	—	4	2	no	—
916	C₂²×C₄	—	4	2	no	—
917	C₂²×C₄	—	4	4	no	—
918	C₂²×C₄	—	4	4	no	—
919	C₂²×C₄	—	4	4	no	—
920	C₂²×C₄	—	4	4	no	—
921	C₂²×C₄	—	4	8	no	—
922	C₂²×C₄	—	4	4	no	—
923	C₂²×C₄	—	4	8	no	—
924	C₂²×C₄	—	4	8	no	—
925	C₂²×C₄	—	4	4	no	—
926	C₂²×C₄	—	4	4	no	—
927	C₂²×C₄	C₂²×D₄	1	4	yes	—
928	C₂²×C₄	C₂²×D₄	1	8	yes	—
929	C₂²×C₄	C₂²×D₄	1	4	yes	—
930	C₂²×C₄	C₂²×D₄	1	4	yes	—
931	C₂²×C₄	C₂⁵	1	8	yes	—
932	C₂²×C₄	C₂⁵	1	4	yes	—
933	C₂²×C₄	C₂⁵	1	2	yes	—
934	C₂²×C₄	C₂⁵	1	4	yes	—
935	C₂²×C₄	C₂⁵	1	2	yes	—
936	C₂²×C₄	C₂⁵	1	4	yes	—
937	C₂²×C₄	C₂⁵	1	4	yes	—
938	C₂²×C₄	C₂⁵	1	2	yes	—
939	C₂²×C₄	C₂⁵	1	1	yes	characteristic
940	C₂²×C₄	C₂⁵	1	1	yes	characteristic
941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
942	C₂²×C₄	C₂⁵	1	1	yes	characteristic
943	C₂²×C₄	C₂⁵	1	4	yes	—
944	C₂²×C₄	C₂⁵	1	1	yes	characteristic
945	C₂²×C₄	C₂⁵	1	1	yes	characteristic
946	C₂²×C₄	C₂⁵	1	4	yes	—
947	C₄⋊C₄	—	2	4	no	—
948	C₄⋊C₄	—	2	4	no	—
949	C₄⋊C₄	—	2	4	no	—
950	C₄⋊C₄	—	2	4	no	—
951	C₄⋊C₄	—	2	4	no	—
952	C₄⋊C₄	—	2	8	no	—
953	C₄⋊C₄	—	2	4	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	8	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	8	no	—
958	C₄⋊C₄	—	2	16	no	—
959	C₄⋊C₄	—	4	4	no	—
960	C₄⋊C₄	—	4	8	no	—
961	C₄⋊C₄	—	4	8	no	—
962	C₄⋊C₄	—	4	8	no	—
963	C₄⋊C₄	—	4	8	no	—
964	C₂²⋊C₄	—	2	16	no	—
965	C₂²⋊C₄	—	2	8	no	—
966	C₂²⋊C₄	—	2	4	no	—
967	C₂²⋊C₄	—	2	8	no	—
968	C₂²⋊C₄	—	2	8	no	—
969	C₂²⋊C₄	—	2	4	no	—
970	C₂²⋊C₄	—	2	4	no	—
971	C₂²⋊C₄	—	2	16	no	—
972	C₂²⋊C₄	—	2	16	no	—
973	C₂²⋊C₄	—	2	8	no	—
974	C₂²⋊C₄	—	2	8	no	—
975	C₂²⋊C₄	—	2	8	no	—
976	C₂²⋊C₄	—	2	8	no	—
977	C₂²⋊C₄	—	2	8	no	—
978	C₂²⋊C₄	—	2	8	no	—
979	C₂²⋊C₄	—	2	8	no	—
980	C₂²⋊C₄	—	2	8	no	—
981	C₂²⋊C₄	—	2	8	no	—
982	C₂²⋊C₄	—	2	4	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	2	8	no	—
986	C₂²⋊C₄	—	2	8	no	—
987	C₂²⋊C₄	—	2	8	no	—
988	C₂²⋊C₄	—	2	8	no	—
989	C₂²⋊C₄	—	2	16	no	—
990	C₂²⋊C₄	—	2	16	no	—
991	C₂²⋊C₄	—	2	16	no	—
992	C₂²⋊C₄	—	2	16	no	—
993	C₂²⋊C₄	—	4	8	no	—
994	C₂²⋊C₄	—	4	8	no	—
995	C₂²⋊C₄	—	4	8	no	—
996	C₂²⋊C₄	—	4	8	no	—
997	C₂²⋊C₄	—	4	8	no	—
998	C₂²⋊C₄	—	4	8	no	—
999	C₂²⋊C₄	—	4	8	no	—
1000	C₂²⋊C₄	—	4	8	no	—
1001	C₂²⋊C₄	—	4	8	no	—
1002	C₂²⋊C₄	—	4	8	no	—
1003	C₂²⋊C₄	—	4	8	no	—
1004	C₂²⋊C₄	—	4	8	no	—
1005	C₂²⋊C₄	—	4	8	no	—
1006	C₂²⋊C₄	—	4	8	no	—
1007	C₂²⋊C₄	—	4	8	no	—
1008	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1009	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1010	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1011	C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1012	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1013	C₄²	—	2	16	no	—
1014	C₄²	—	2	4	no	—
1015	C₄²	—	2	8	no	—
1016	C₄²	—	2	8	no	—
1017	C₄²	—	4	4	no	—
1018	C₄²	—	4	8	no	—
1019	C₄²	—	4	2	no	—
1020	C₄²	—	4	4	no	—
1021	C₄²	—	4	2	no	—
1022	C₄²	C₂²×D₄	1	4	yes	—
1023	C₄²	C₂²×D₄	1	4	yes	—
1024	C₄²	C₂²×D₄	1	4	yes	—
1025	C₄²	C₂²×D₄	1	4	yes	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	4	no	—
1029	C₂³	—	2	4	no	—
1030	C₂³	—	2	8	no	—
1031	C₂³	—	2	8	no	—
1032	C₂³	—	2	16	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	—	2	4	no	—
1035	C₂³	—	2	4	no	—
1036	C₂³	—	2	4	no	—
1037	C₂³	—	2	4	no	—
1038	C₂³	—	2	8	no	—
1039	C₂³	—	2	8	no	—
1040	C₂³	—	2	4	no	—
1041	C₂³	—	2	4	no	—
1042	C₂³	—	2	8	no	—
1043	C₂³	—	2	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	8	no	—
1047	C₂³	—	2	8	no	—
1048	C₂³	—	2	8	no	—
1049	C₂³	—	2	4	no	—
1050	C₂³	—	2	4	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	4	8	no	—
1053	C₂³	—	4	8	no	—
1054	C₂³	—	4	8	no	—
1055	C₂³	—	4	8	no	—
1056	C₂³	—	4	8	no	—
1057	C₂³	—	4	8	no	—
1058	C₂³	—	4	32	no	—
1059	C₂³	—	4	8	no	—
1060	C₂³	—	4	8	no	—
1061	C₂³	—	8	16	no	—
1062	C₂³	—	8	16	no	—
1063	C₂³	—	8	16	no	—
1064	C₂³	—	8	16	no	—
1065	C₂³	—	8	16	no	—
1066	C₂³	—	8	16	no	—
1067	C₂³	—	8	8	no	—
1068	C₂³	—	8	8	no	—
1069	C₂³	—	8	8	no	—
1070	C₂³	—	8	16	no	—
1071	C₂³	—	8	16	no	—
1072	C₂³	—	8	16	no	—
1073	C₂³	—	8	16	no	—
1074	C₂³	—	8	128	no	—
1075	C₂³	—	16	8	no	—
1076	C₂³	C₂³×D₄	1	8	yes	—
1077	C₂³	C₂³×D₄	1	2	yes	—
1078	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1079	C₂³	C₂⁶	1	1	yes	characteristic
1080	Q₈	—	4	8	no	—
1081	Q₈	—	4	8	no	—
1082	Q₈	—	8	2	no	—
1083	Q₈	—	8	4	no	—
1084	Q₈	—	8	4	no	—
1085	Q₈	—	8	4	no	—
1086	Q₈	—	8	4	no	—
1087	Q₈	—	8	4	no	—
1088	D₄	—	4	8	no	—
1089	D₄	—	4	8	no	—
1090	D₄	—	4	8	no	—
1091	D₄	—	4	8	no	—
1092	D₄	—	4	16	no	—
1093	D₄	—	8	4	no	—
1094	D₄	—	8	2	no	—
1095	D₄	—	8	16	no	—
1096	D₄	—	8	16	no	—
1097	D₄	—	8	4	no	—
1098	D₄	—	8	4	no	—
1099	D₄	—	8	16	no	—
1100	D₄	—	8	4	no	—
1101	D₄	—	8	4	no	—
1102	D₄	—	8	4	no	—
1103	D₄	—	8	8	no	—
1104	D₄	—	8	8	no	—
1105	D₄	—	8	16	no	—
1106	D₄	—	8	8	no	—
1107	D₄	—	8	8	no	—
1108	D₄	—	8	8	no	—
1109	D₄	—	8	16	no	—
1110	D₄	—	8	16	no	—
1111	D₄	—	8	16	no	—
1112	D₄	—	16	8	no	—
1113	D₄	—	16	8	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	4	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	2	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	4	no	—
1121	C₂×C₄	—	2	8	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	8	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	4	no	—
1126	C₂×C₄	—	2	4	no	—
1127	C₂×C₄	—	2	4	no	—
1128	C₂×C₄	—	2	2	no	—
1129	C₂×C₄	—	2	2	no	—
1130	C₂×C₄	—	2	4	no	—
1131	C₂×C₄	—	2	8	no	—
1132	C₂×C₄	—	2	4	no	—
1133	C₂×C₄	—	2	4	no	—
1134	C₂×C₄	—	2	8	no	—
1135	C₂×C₄	—	2	4	no	—
1136	C₂×C₄	—	2	4	no	—
1137	C₂×C₄	—	2	4	no	—
1138	C₂×C₄	—	2	8	no	—
1139	C₂×C₄	—	2	8	no	—
1140	C₂×C₄	—	2	4	no	—
1141	C₂×C₄	—	2	4	no	—
1142	C₂×C₄	—	2	4	no	—
1143	C₂×C₄	—	2	4	no	—
1144	C₂×C₄	—	4	4	no	—
1145	C₂×C₄	—	4	8	no	—
1146	C₂×C₄	—	4	4	no	—
1147	C₂×C₄	—	4	8	no	—
1148	C₂×C₄	—	4	8	no	—
1149	C₂×C₄	—	4	8	no	—
1150	C₂×C₄	—	8	16	no	—
1151	C₂×C₄	—	8	8	no	—
1152	C₂×C₄	—	8	8	no	—
1153	C₂×C₄	—	8	8	no	—
1154	C₂×C₄	C₂³×D₄	1	8	yes	—
1155	C₂×C₄	C₂³×D₄	1	2	yes	—
1156	C₂×C₄	C₂³×D₄	1	2	yes	—
1157	C₂×C₄	C₂³×D₄	1	2	yes	—
1158	C₂×C₄	C₂³×D₄	1	2	yes	—
1159	C₂×C₄	C₂³×D₄	1	2	yes	—
1160	C₂×C₄	C₂³×D₄	1	2	yes	—
1161	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1162	C₂²	—	2	8	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	8	no	—
1166	C₂²	—	2	8	no	—
1167	C₂²	—	2	8	no	—
1168	C₂²	—	4	8	no	—
1169	C₂²	—	4	8	no	—
1170	C₂²	—	4	8	no	—
1171	C₂²	—	4	8	no	—
1172	C₂²	—	4	8	no	—
1173	C₂²	—	4	8	no	—
1174	C₂²	—	4	8	no	—
1175	C₂²	—	4	8	no	—
1176	C₂²	—	4	8	no	—
1177	C₂²	—	4	4	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	4	no	—
1180	C₂²	—	4	4	no	—
1181	C₂²	—	4	2	no	—
1182	C₂²	—	4	4	no	—
1183	C₂²	—	4	4	no	—
1184	C₂²	—	4	4	no	—
1185	C₂²	—	4	4	no	—
1186	C₂²	—	4	4	no	—
1187	C₂²	—	4	4	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	8	16	no	—
1190	C₂²	—	8	16	no	—
1191	C₂²	—	8	16	no	—
1192	C₂²	—	8	64	no	—
1193	C₂²	—	16	16	no	—
1194	C₂²	#3498	1	4	yes	—
1195	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1196	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1197	C₂²	H(7,𝔽₂)	1	2	yes	—
1198	C₂²	H(7,𝔽₂)	1	2	yes	—
1199	C₄	—	2	8	no	—
1200	C₄	—	2	2	no	—
1201	C₄	—	2	2	no	—
1202	C₄	—	2	2	no	—
1203	C₄	—	2	8	no	—
1204	C₄	—	2	2	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	4	8	no	—
1208	C₄	—	4	4	no	—
1209	C₄	—	4	4	no	—
1210	C₄	—	4	2	no	—
1211	C₄	—	4	4	no	—
1212	C₄	—	4	2	no	—
1213	C₄	—	4	4	no	—
1214	C₄	—	4	2	no	—
1215	C₂	—	2	4	no	—
1216	C₂	—	4	8	no	—
1217	C₂	—	8	4	no	—
1218	C₂	—	8	4	no	—
1219	C₂	—	8	4	no	—
1220	C₂	—	8	2	no	—
1221	C₂	C₂×#3498	1	1	yes	characteristic
1222	C₂	#62842	1	1	yes	characteristic
1223	C₂	#62852	1	1	yes	characteristic
1224	C₂	#63045	1	4	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×#3558	C₂	semidirect
2. C₂²×H(3,𝔽₄)	C₂	semidirect
3. #51902	C₂	semidirect
4. #51752	C₂	semidirect
5. #51068	C₂	semidirect
6. #50690	C₂	semidirect
7. #50655	C₂	semidirect
8. #45999	C₂	semidirect
9. #45996	C₂	semidirect
10. #39333	C₂	semidirect
11. #39135	C₂	semidirect
12. #37645	C₂	semidirect
13. #37644	C₂	semidirect
14. #37606	C₂	semidirect
15. #37536	C₂	semidirect
16. #36967	C₂	semidirect
17. #36703	C₂	semidirect
18. #35466	C₂	semidirect
19. #35390	C₂	semidirect
20. #35329	C₂	semidirect
21. #35131	C₂	semidirect
22. #34240	C₂	semidirect
24. C₂×#562	C₂²	semidirect
26. C₂×H(3,𝔽₄)	C₂²	semidirect
27. C₂×H(3,𝔽₄)	C₂²	semidirect
28. C₂×H(3,𝔽₄)	C₂²	semidirect
29. C₂×H(3,𝔽₄)	C₂²	semidirect
30. C₂×H(3,𝔽₄)	C₂²	semidirect
31. C₂×#559	C₂²	semidirect
32. C₂×#548	C₂²	semidirect
33. C₂×#546	C₂²	semidirect
34. C₂×#546	C₂²	semidirect
36. C₂×#542	C₂²	semidirect
37. C₂×#538	C₂²	semidirect
38. C₂×#538	C₂²	semidirect
39. C₂×#536	C₂²	semidirect
40. C₂×#535	C₂²	semidirect
41. C₂×#535	C₂²	semidirect
42. C₂×#534	C₂²	semidirect
43. C₂×#534	C₂²	semidirect
44. C₂×#532	C₂²	semidirect
45. C₂×#529	C₂²	semidirect
47. C₂²×#124	C₂²	semidirect
48. C₂²×#124	C₂²	semidirect
49. C₂²×#124	C₂²	semidirect
50. C₂²×#124	C₂²	semidirect
51. C₂²×#124	C₂²	semidirect
53. C₂²×#120	C₂²	semidirect
54. C₂²×#120	C₂²	semidirect
55. C₂²×#120	C₂²	semidirect
56. #2861	C₂²	semidirect
57. #2858	C₂²	semidirect
58. #2858	C₂²	semidirect
59. #2854	C₂²	semidirect
60. #2846	C₂²	semidirect
61. #2820	C₂²	semidirect
62. #2819	C₂²	semidirect
63. #2819	C₂²	semidirect
64. #2733	C₂²	semidirect
65. #2733	C₂²	semidirect
66. #2730	C₂²	semidirect
67. #2730	C₂²	semidirect
68. #2710	C₂²	semidirect
69. #2710	C₂²	semidirect
70. #2685	C₂²	semidirect
71. #2679	C₂²	semidirect
72. #2678	C₂²	semidirect
73. #2678	C₂²	semidirect
74. #2678	C₂²	semidirect
75. #2676	C₂²	semidirect
76. #2674	C₂²	semidirect
77. #2672	C₂²	semidirect
78. #2670	C₂²	semidirect
79. #2670	C₂²	semidirect
80. #2670	C₂²	semidirect
81. #2670	C₂²	semidirect
82. #2670	C₂²	semidirect
83. #2669	C₂²	semidirect
84. #2669	C₂²	semidirect
85. #2669	C₂²	semidirect
86. #2669	C₂²	semidirect
87. #2668	C₂²	semidirect
88. #2662	C₂²	semidirect
89. #2662	C₂²	semidirect
90. #2658	C₂²	semidirect
91. #2657	C₂²	semidirect
92. #2657	C₂²	semidirect
93. #2640	C₂²	semidirect
94. #2632	C₂²	semidirect
95. #2631	C₂²	semidirect
96. #2631	C₂²	semidirect
97. #2617	C₂²	semidirect
98. #2617	C₂²	semidirect
99. #2614	C₂²	semidirect
100. #2613	C₂²	semidirect
101. #2613	C₂²	semidirect
102. #2610	C₂²	semidirect
103. #2610	C₂²	semidirect
104. #2561	C₂²	semidirect
105. #2557	C₂²	semidirect
106. #2555	C₂²	semidirect
107. #2555	C₂²	semidirect
108. #2548	C₂²	semidirect
109. #2545	C₂²	semidirect
110. #2544	C₂²	semidirect
111. #2544	C₂²	semidirect
112. #2540	C₂²	semidirect
113. #2540	C₂²	semidirect
114. #2539	C₂²	semidirect
115. #2539	C₂²	semidirect
116. #2539	C₂²	semidirect
117. #2539	C₂²	semidirect
118. #2539	C₂²	semidirect
119. #2539	C₂²	semidirect
120. #2539	C₂²	semidirect
121. #2534	C₂²	semidirect
122. #2534	C₂²	semidirect
123. #2521	C₂²	semidirect
124. #2491	C₂²	semidirect
125. #2491	C₂²	semidirect
126. #2472	C₂²	semidirect
127. #2472	C₂²	semidirect
128. #2461	C₂²	semidirect
129. #2448	C₂²	semidirect
130. #2436	C₂²	semidirect
131. #2436	C₂²	semidirect
132. #2435	C₂²	semidirect
133. #2434	C₂²	semidirect
135. #2433	C₂²	semidirect
136. #2433	C₂²	semidirect
137. #2433	C₂²	semidirect
138. #2433	C₂²	semidirect
139. #2433	C₂²	semidirect
140. #2431	C₂²	semidirect
141. #2426	C₂²	semidirect
142. #2424	C₂²	semidirect
143. #2424	C₂²	semidirect
144. #2418	C₂²	semidirect
145. #2412	C₂²	semidirect
146. #2411	C₂²	semidirect
147. #2410	C₂²	semidirect
148. #2410	C₂²	semidirect
149. #2408	C₂²	semidirect
150. #2408	C₂²	semidirect
151. #2405	C₂²	semidirect
152. #2404	C₂²	semidirect
153. #2403	C₂²	semidirect
154. #2403	C₂²	semidirect
155. #2372	C₂²	semidirect
156. #2367	C₂²	semidirect
157. #2342	C₂²	semidirect
158. Q₈×C₂²⋊C₄	C₂²	semidirect
160. #2337	C₂²	semidirect
161. #2321	C₂²	semidirect
162. #2321	C₂²	semidirect
163. #2312	C₂²	semidirect
164. C₄×#124	C₂²	semidirect
165. C₄×#123	C₂²	semidirect
166. #2283	C₂²	semidirect
167. #2273	C₂²	semidirect
168. C₄×#117	C₂²	semidirect
171. C₂²×#41	C₂³	semidirect
183. C₂³×D₄	C₂³	semidirect
204. C₂×C₄⋊Q₈	C₂³	semidirect
205. C₂×C₄⋊Q₈	C₂³	semidirect
206. C₂×C₄⋊Q₈	C₂³	semidirect
212. C₂×#127	C₂³	semidirect
214. C₂×#126	C₂³	semidirect
215. C₂×#126	C₂³	semidirect
216. C₂×#125	C₂³	semidirect
222. C₂×#124	D₄	semidirect
243. C₂×#124	C₂³	semidirect
244. C₂×#124	C₂³	semidirect
245. C₂×#124	C₂³	semidirect
246. C₂×#124	C₂³	semidirect
247. C₂×#124	C₂³	semidirect
248. C₂×#124	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
250. C₂×#124	C₂³	semidirect
251. C₂×#124	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
258. C₂×#123	C₂³	semidirect
259. C₂×#123	C₂³	semidirect
260. C₂×#123	C₂³	semidirect
262. C₂×C₂²⋊Q₈	C₂³	semidirect
263. C₂×C₂²⋊Q₈	C₂³	semidirect
264. C₂×C₂²⋊Q₈	C₂³	semidirect
265. C₂×C₂²⋊Q₈	C₂³	semidirect
277. C₂×#121	C₂³	semidirect
278. C₂×#121	C₂³	semidirect
279. C₂×#121	C₂³	semidirect
300. C₂×#120	C₂³	semidirect
301. C₂×#120	C₂³	semidirect
302. C₂×#120	C₂³	semidirect
303. C₂×#120	C₂³	semidirect
304. C₂×#120	C₂³	semidirect
305. C₂×#120	C₂³	semidirect
306. C₂×#120	C₂³	semidirect
307. C₂×C₄×Q₈	C₂³	semidirect
308. C₂×C₄×Q₈	C₂³	semidirect
309. C₂×C₄×Q₈	C₂³	semidirect
314. C₂×C₄×D₄	C₂³	semidirect
315. C₂×C₄×D₄	C₂³	semidirect
316. C₂×C₄×D₄	C₂³	semidirect
317. C₂×C₄×D₄	C₂³	semidirect
319. C₂×#117	C₂³	semidirect
330. C₂²×C₂²⋊C₄	C₂³	semidirect
331. C₂²×C₂²⋊C₄	C₂³	semidirect
334. #399	C₂³	semidirect
335. #399	C₂³	semidirect
336. #399	C₂³	semidirect
337. #399	C₂³	semidirect
338. #399	C₂³	semidirect
339. #397	C₂³	semidirect
340. #397	C₂³	semidirect
341. #397	C₂³	semidirect
342. #397	C₂³	semidirect
343. #396	C₂³	semidirect
344. #396	C₂³	semidirect
345. #396	C₂³	semidirect
346. #395	C₂³	semidirect
347. #395	C₂³	semidirect
348. #395	C₂³	semidirect
356. #394	C₂³	semidirect
357. #394	C₂³	semidirect
358. #394	C₂³	semidirect
359. #394	C₂³	semidirect
360. #394	C₂³	semidirect
361. #394	C₂³	semidirect
362. #394	C₂³	semidirect
363. #394	C₂³	semidirect
364. #394	C₂³	semidirect
365. #394	C₂³	semidirect
366. #393	C₂³	semidirect
367. #393	C₂³	semidirect
368. #393	C₂³	semidirect
369. #393	C₂³	semidirect
370. #393	C₂³	semidirect
371. #393	C₂³	semidirect
384. #392	C₂³	semidirect
385. #392	C₂³	semidirect
386. #392	C₂³	semidirect
387. #392	C₂³	semidirect
388. #392	C₂³	semidirect
389. #392	C₂³	semidirect
390. #392	C₂³	semidirect
391. #392	C₂³	semidirect
392. #391	C₂³	semidirect
393. #391	C₂³	semidirect
394. #391	C₂³	semidirect
395. #391	C₂³	semidirect
396. #391	C₂³	semidirect
403. #390	C₂³	semidirect
404. #390	C₂³	semidirect
405. #390	C₂³	semidirect
406. #390	C₂³	semidirect
407. #390	C₂³	semidirect
408. #390	C₂³	semidirect
409. #390	C₂³	semidirect
410. #390	C₂³	semidirect
411. #390	C₂³	semidirect
412. #390	C₂³	semidirect
413. #390	C₂³	semidirect
414. #389	C₂³	semidirect
415. #388	C₂³	semidirect
416. #388	C₂³	semidirect
417. #388	C₂³	semidirect
418. #388	C₂³	semidirect
419. #388	C₂³	semidirect
420. #388	C₂³	semidirect
421. #388	C₂³	semidirect
422. #388	C₂³	semidirect
423. #388	C₂³	semidirect
424. #388	C₂³	semidirect
425. #388	C₂³	semidirect
426. #388	C₂³	semidirect
427. #388	C₂³	semidirect
428. #388	C₂³	semidirect
429. #388	C₂³	semidirect
430. #387	C₂³	semidirect
437. #386	C₂³	semidirect
438. #386	C₂³	semidirect
439. #386	C₂³	semidirect
440. #386	C₂³	semidirect
441. #386	C₂³	semidirect
442. #386	C₂³	semidirect
443. #386	C₂³	semidirect
445. #385	C₂³	semidirect
446. #385	C₂³	semidirect
447. #383	C₂³	semidirect
448. #382	C₂³	semidirect
453. #380	C₂³	semidirect
457. #379	C₂³	semidirect
458. #379	C₂³	semidirect
459. #379	C₂³	semidirect
460. C₄×C₄⋊C₄	C₂³	semidirect
461. C₄×C₄⋊C₄	C₂³	semidirect
462. C₄×C₄⋊C₄	C₂³	semidirect
463. C₄×C₄⋊C₄	C₂³	semidirect
469. C₄×C₂²⋊C₄	C₂³	semidirect
470. C₄×C₂²⋊C₄	C₂³	semidirect
471. C₄×C₂²⋊C₄	C₂³	semidirect
472. C₄×C₂²⋊C₄	C₂³	semidirect
473. #376	C₂³	semidirect
474. #376	C₂³	semidirect
475. C₄³	C₂³	semidirect
495. C₂²×Q₈	C₂×D₄	semidirect
598. #124	C₂×D₄	semidirect
599. #124	C₂×D₄	semidirect
600. #124	C₂×D₄	semidirect
601. #124	C₂×D₄	semidirect
693. C₂×C₂²⋊C₄	C₂×D₄	semidirect
694. C₂×C₂²⋊C₄	C₂×D₄	semidirect
745. C₂×C₄²	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3558	2
C₂²×H(3,𝔽₄)	2
#51902	2
#51752	2
#51068	2
#50690	2
#50655	2
#45999	2
#45996	2
#39333	2
#39135	2
#37645	2
#37644	2
#37606	2
#37536	2
#36967	2
#36703	2
#35466	2
#35390	2
#35329	2
#35131	2
#34240	2