Subgroups — #10583036

Order 512.

7006 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62892	C₂	1	2	yes	maximal, complemented
2	#62436	C₂	1	2	yes	maximal, complemented
3	#62431	C₂	1	4	yes	maximal, complemented
4	#62270	C₂	1	2	yes	maximal, complemented
5	#62266	C₂	1	4	yes	maximal, complemented
6	#62247	C₂	1	2	yes	maximal, complemented
7	#62245	C₂	1	1	yes	maximal, characteristic, complemented
8	#62015	C₂	1	4	yes	maximal, complemented
9	#62007	C₂	1	8	yes	maximal, complemented
10	#61617	C₂	1	4	yes	maximal, complemented
11	#61609	C₂	1	8	yes	maximal, complemented
12	#61571	C₂	1	4	yes	maximal, complemented
13	#61569	C₂	1	2	yes	maximal, complemented
14	#61480	C₂	1	2	yes	maximal, complemented
15	#61471	C₂	1	4	yes	maximal, complemented
16	#61056	C₂	1	2	yes	maximal, complemented
17	#61049	C₂	1	4	yes	maximal, complemented
18	C₂×#3280	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×D₄×D₈	C₂	1	2	yes	maximal, complemented
20	#60304	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#576	C₂²	1	2	yes	complemented
22	C₂²×#135	C₂²	1	1	yes	characteristic, complemented
23	C₂³×D₈	C₂²	1	1	yes	characteristic, complemented
24	C₂³×D₈	C₂²	1	2	yes	complemented
25	#3558	C₂²	1	4	yes	complemented
26	#3543	C₂²	1	8	yes	complemented
27	#3542	C₂²	1	8	yes	complemented
28	#3537	—	2	4	no	—
29	#3537	C₂²	1	4	yes	complemented
30	#3534	—	2	4	no	—
31	#3534	—	2	8	no	—
32	#3532	—	2	8	no	—
33	#3519	C₂²	1	4	yes	complemented
34	#3513	C₂²	1	8	yes	complemented
35	#3505	C₂²	1	4	yes	complemented
36	#3496	C₂²	1	2	yes	complemented
37	#3490	—	2	2	no	—
38	#3488	C₂²	1	4	yes	complemented
39	#3484	—	2	4	no	—
40	#3484	C₂²	1	8	yes	complemented
41	C₂×#546	C₂²	1	2	yes	complemented
42	C₂×D₄²	C₂²	1	4	yes	complemented
43	#3459	C₂²	1	1	yes	characteristic
44	C₂×#534	—	2	2	no	—
45	#3403	C₂²	1	4	yes	complemented
46	#3399	C₂²	1	8	yes	complemented
47	#3396	C₂²	1	4	yes	complemented
48	#3391	C₂²	1	2	yes	complemented
49	#3380	C₂²	1	2	yes	complemented
50	#3370	C₂²	1	8	yes	complemented
51	#3366	C₂²	1	4	yes	complemented
52	#3341	C₂²	1	2	yes	complemented
53	#3339	C₂²	1	4	yes	complemented
54	#3339	C₂²	1	4	yes	complemented
55	#3336	C₂²	1	4	yes	complemented
56	#3334	C₂²	1	4	yes	complemented
57	#3325	C₂²	1	4	yes	complemented
58	#3322	C₂²	1	8	yes	complemented
59	#3319	C₂²	1	8	yes	complemented
60	#3318	C₂²	1	8	yes	complemented
61	#3318	C₂²	1	8	yes	complemented
62	#3318	C₂²	1	8	yes	complemented
63	#3310	C₂²	1	8	yes	complemented
64	#3310	C₂²	1	8	yes	complemented
65	#3309	C₂²	1	8	yes	complemented
66	#3306	C₂²	1	8	yes	complemented
67	#3306	C₂²	1	8	yes	complemented
68	#3301	C₂²	1	8	yes	complemented
69	#3296	C₂²	1	8	yes	complemented
70	#3294	C₂²	1	8	yes	complemented
71	#3287	C₂²	1	4	yes	complemented
72	#3285	C₂²	1	4	yes	complemented
73	#3280	C₂²	1	4	yes	complemented
74	#3280	C₂²	1	4	yes	complemented
75	#3280	C₂²	1	4	yes	complemented
76	#3280	C₂²	1	8	yes	complemented
77	#3280	C₂²	1	4	yes	complemented
78	#3280	C₂²	1	4	yes	complemented
79	D₄×D₈	C₂²	1	4	yes	complemented
80	D₄×D₈	C₂²	1	8	yes	complemented
81	D₄×D₈	C₂²	1	4	yes	complemented
82	D₄×D₈	C₂²	1	4	yes	complemented
83	D₄×D₈	C₂²	1	2	yes	complemented
84	D₄×D₈	C₂²	1	8	yes	complemented
85	D₄×D₈	C₂²	1	4	yes	complemented
86	D₄×D₈	C₂²	1	4	yes	complemented
87	D₄×D₈	C₂²	1	4	yes	complemented
88	#3274	C₂²	1	8	yes	complemented
89	#3273	C₂²	1	4	yes	complemented
90	#3268	C₂²	1	8	yes	complemented
91	#3265	C₂²	1	8	yes	complemented
92	#3265	C₂²	1	8	yes	complemented
93	#3264	C₂²	1	8	yes	complemented
94	#3264	C₂²	1	8	yes	complemented
95	#3264	C₂²	1	8	yes	complemented
96	#3264	C₂²	1	8	yes	complemented
97	#3264	C₂²	1	8	yes	complemented
98	#3264	C₂²	1	8	yes	complemented
99	#3259	C₂²	1	4	yes	complemented
100	#3257	C₂²	1	8	yes	complemented
101	#3250	C₂²	1	4	yes	complemented
102	#3245	C₂²	1	2	yes	complemented
103	#3224	C₂²	1	8	yes	complemented
104	#3220	C₂²	1	8	yes	complemented
105	#3220	C₂²	1	8	yes	complemented
106	#3217	C₂²	1	8	yes	complemented
107	#3213	C₂²	1	4	yes	complemented
108	#3199	C₂²	1	4	yes	complemented
109	#3198	C₂²	1	8	yes	complemented
110	#3194	C₂²	1	8	yes	complemented
111	#3192	C₂²	1	4	yes	complemented
112	#3191	C₂²	1	4	yes	complemented
113	#3187	C₂²	1	4	yes	complemented
114	#3186	C₂²	1	2	yes	complemented
115	#3186	C₂²	1	2	yes	complemented
116	#3176	C₂²	1	4	yes	complemented
117	#3176	C₂²	1	4	yes	complemented
118	#3175	C₂²	1	4	yes	complemented
119	#3169	C₂²	1	2	yes	complemented
120	#3168	C₂²	1	4	yes	complemented
121	#3155	C₂²	1	4	yes	complemented
122	#3155	C₂²	1	2	yes	complemented
123	C₂×#495	C₂²	1	1	yes	characteristic, complemented
124	C₂×#493	C₂²	1	2	yes	complemented
125	#3122	C₂²	1	8	yes	complemented
126	#3119	C₂²	1	8	yes	complemented
127	#3118	C₂²	1	8	yes	complemented
128	#3114	C₂²	1	8	yes	complemented
129	#3109	C₂²	1	4	yes	complemented
130	#3061	C₂²	1	2	yes	complemented
131	#3058	C₂²	1	4	yes	complemented
132	#3050	C₂²	1	4	yes	complemented
133	C₂×#467	C₂²	1	1	yes	characteristic, complemented
134	C₂×#466	C₂²	1	2	yes	complemented
135	C₂×#466	C₂²	1	2	yes	complemented
136	C₂×#466	C₂²	1	1	yes	characteristic, complemented
137	C₂×#466	C₂²	1	2	yes	complemented
138	#3045	C₂²	1	4	yes	complemented
139	#3041	C₂²	1	8	yes	complemented
140	C₂×#463	C₂²	1	2	yes	complemented
141	C₂×#459	C₂²	1	4	yes	complemented
142	#3012	C₂²	1	4	yes	complemented
143	#3008	C₂²	1	8	yes	complemented
144	#3006	C₂²	1	4	yes	complemented
145	#3003	C₂²	1	8	yes	complemented
146	C₂×#449	C₂²	1	2	yes	complemented
147	C₂×#450	C₂²	1	2	yes	complemented
148	C₂×#447	C₂²	1	4	yes	complemented
149	C₂×#447	C₂²	1	4	yes	complemented
150	#2992	C₂²	1	4	yes	complemented
151	#2992	C₂²	1	2	yes	complemented
152	#2976	C₂²	1	4	yes	complemented
153	#2976	C₂²	1	2	yes	complemented
154	#2973	C₂²	1	2	yes	complemented
155	#2973	C₂²	1	1	yes	characteristic, complemented
156	#2966	C₂²	1	4	yes	complemented
157	#2966	C₂²	1	2	yes	complemented
158	#2951	C₂²	1	2	yes	complemented
159	#2948	C₂²	1	4	yes	complemented
160	C₂×C₄×D₈	C₂²	1	2	yes	complemented
161	C₂×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
162	#2929	C₂²	1	4	yes	complemented
163	#2929	C₂²	1	2	yes	complemented
164	C₂×C₈×D₄	C₂²	1	2	yes	complemented
165	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
166	C₂×H(5,𝔽₂)	—	2	2	no	—
167	C₂×H(5,𝔽₂)	C₂³	1	4	yes	complemented
168	C₂²×#41	C₂³	1	2	yes	complemented
169	C₂³×D₄	—	2	4	no	—
170	C₂³×D₄	C₂³	1	2	yes	—
171	C₂³×D₄	C₂³	1	4	yes	complemented
172	#576	—	4	8	no	—
173	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
174	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
175	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
176	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
177	C₂×#135	—	4	4	no	—
178	C₂×#135	C₂³	1	2	yes	—
179	C₂×#135	C₂³	1	4	yes	complemented
180	C₂×#135	C₂³	1	2	yes	complemented
181	C₂×#135	C₂³	1	4	yes	complemented
182	C₂²×Q₁₆	C₂³	1	1	yes	characteristic, complemented
183	C₂²×SD₁₆	C₂³	1	2	yes	complemented
184	C₂²×SD₁₆	C₂³	1	2	yes	complemented
185	C₂²×D₈	—	4	4	no	—
186	C₂²×D₈	—	4	8	no	—
187	C₂²×D₈	C₂³	1	1	yes	characteristic
188	C₂²×D₈	C₂³	1	2	yes	—
189	C₂²×D₈	C₂³	1	4	yes	—
190	C₂²×D₈	C₂³	1	2	yes	—
191	C₂²×D₈	C₂³	1	1	yes	characteristic
192	C₂²×D₈	C₂³	1	4	yes	—
193	C₂²×D₈	C₂³	1	2	yes	—
194	C₂²×D₈	C₂³	1	2	yes	complemented
195	C₂²×D₈	C₂³	1	2	yes	complemented
196	C₂²×D₈	C₂³	1	4	yes	complemented
197	C₂²×D₈	C₂³	1	4	yes	complemented
198	C₂²×D₈	C₂³	1	8	yes	complemented
199	C₂²×D₈	C₂³	1	4	yes	complemented
200	C₂×#131	C₂³	1	2	yes	complemented
201	C₂³×C₈	C₂³	1	1	yes	characteristic
202	C₂³×C₈	C₂³	1	1	yes	characteristic, complemented
203	C₂³×C₈	C₂³	1	2	yes	complemented
204	#562	—	2	4	no	—
205	#562	—	2	8	no	—
206	H(3,𝔽₄)	—	2	4	no	—
207	#560	—	2	8	no	—
208	#560	—	2	8	no	—
209	#560	—	2	8	no	—
210	#560	—	2	8	no	—
211	#559	C₂³	1	8	yes	complemented
212	#555	C₂³	1	4	yes	complemented
213	#554	C₂³	1	4	yes	complemented
214	#553	—	2	8	no	—
215	#553	—	2	4	no	—
216	#553	—	2	8	no	—
217	#553	C₂³	1	8	yes	complemented
218	#553	C₂³	1	8	yes	complemented
219	#552	C₂³	1	8	yes	—
220	#551	—	2	8	no	—
221	#551	—	2	8	no	—
222	#551	—	2	8	no	—
223	#551	—	2	8	no	—
224	#550	C₂³	1	8	yes	complemented
225	#550	C₂³	1	4	yes	complemented
226	#548	C₂³	1	8	yes	complemented
227	#547	C₂³	1	8	yes	complemented
228	#546	—	2	4	no	—
229	#546	—	2	8	no	—
230	#546	—	2	8	no	—
231	#546	—	2	8	no	—
232	#546	—	2	8	no	—
233	#546	—	2	8	no	—
234	#546	—	2	8	no	—
235	#546	—	2	8	no	—
236	#546	—	2	8	no	—
237	#546	—	2	8	no	—
238	#546	—	2	8	no	—
239	#546	C₂³	1	8	yes	—
240	#546	C₂³	1	8	yes	complemented
241	#546	C₂³	1	8	yes	complemented
242	#546	C₂³	1	8	yes	complemented
243	#546	C₂³	1	8	yes	complemented
244	D₄²	—	2	8	no	—
245	D₄²	—	2	8	no	—
246	D₄²	—	2	8	no	—
247	D₄²	—	2	8	no	—
248	D₄²	—	2	8	no	—
249	D₄²	—	2	8	no	—
250	D₄²	—	2	8	no	—
251	D₄²	C₂³	1	8	yes	—
252	D₄²	C₂³	1	8	yes	—
253	D₄²	C₂³	1	8	yes	complemented
254	D₄²	C₂³	1	8	yes	complemented
255	D₄²	C₂³	1	4	yes	complemented
256	D₄²	C₂³	1	8	yes	complemented
257	D₄²	C₂³	1	8	yes	complemented
258	#543	D₄	1	1	yes	characteristic
259	#542	C₂³	1	8	yes	complemented
260	#540	—	2	8	no	—
261	#540	—	2	8	no	—
262	#540	C₂³	1	8	yes	complemented
263	#540	C₂³	1	8	yes	complemented
264	#539	—	2	8	no	—
265	#539	—	2	4	no	—
266	#539	D₄	1	4	yes	—
267	#539	D₄	1	2	yes	—
268	#538	—	2	8	no	—
269	#538	—	2	8	no	—
270	#538	—	2	8	no	—
271	#538	—	2	8	no	—
272	#538	—	2	4	no	—
273	#538	—	2	4	no	—
274	#538	—	2	4	no	—
275	#538	—	2	4	no	—
276	#538	D₄	1	4	yes	—
277	#538	D₄	1	2	yes	—
278	#537	—	2	4	no	—
279	#537	—	2	2	no	—
280	#537	C₂³	1	4	yes	complemented
281	#535	—	2	8	no	—
282	#535	—	2	4	no	—
283	#535	—	2	8	no	—
284	#535	C₂³	1	4	yes	complemented
285	#535	C₂³	1	8	yes	complemented
286	#535	C₂³	1	8	yes	complemented
287	#534	—	2	4	no	—
288	#534	—	2	8	no	—
289	#534	—	2	8	no	—
290	#534	—	2	8	no	—
291	#534	—	2	8	no	—
292	#534	—	2	4	no	—
293	#534	—	2	4	no	—
294	#534	—	2	4	no	—
295	#534	—	2	8	no	—
296	#534	—	2	2	no	—
297	#534	—	2	2	no	—
298	#534	D₄	1	1	yes	characteristic
299	#534	D₄	1	2	yes	—
300	#532	C₂³	1	4	yes	complemented
301	C₂×#127	C₂³	1	4	yes	complemented
302	#529	C₂³	1	4	yes	—
303	#529	C₂³	1	2	yes	—
304	#529	C₂³	1	8	yes	complemented
305	C₂×#124	C₂³	1	2	yes	complemented
306	#525	—	2	8	no	—
307	#525	—	2	4	no	—
308	#525	—	2	4	no	—
309	#525	C₂³	1	4	yes	—
310	#525	C₂³	1	2	yes	—
311	#525	C₂³	1	8	yes	complemented
312	C₂×#123	—	2	8	no	—
313	C₂×#123	—	2	2	no	—
314	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₂×#121	—	2	4	no	—
316	C₂×#121	—	2	4	no	—
317	C₂×#121	—	2	4	no	—
318	C₂×#121	—	2	2	no	—
319	C₂×#121	C₂³	1	4	yes	—
320	C₂×#121	C₂³	1	4	yes	complemented
321	C₂×#121	C₂³	1	2	yes	complemented
322	C₂×#121	C₂³	1	4	yes	complemented
323	C₂×#120	—	2	2	no	—
324	C₂×#120	—	2	8	no	—
325	C₂×#120	—	2	8	no	—
326	C₂×#120	—	2	4	no	—
327	C₂×#120	—	2	4	no	—
328	#520	C₂³	1	4	yes	complemented
329	#518	—	2	4	no	—
330	#518	C₂³	1	8	yes	complemented
331	C₂×C₄×D₄	C₂³	1	2	yes	—
332	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
333	C₂×C₄×D₄	C₂³	1	2	yes	complemented
334	C₂×C₄×D₄	C₂³	1	4	yes	complemented
335	C₂²×C₂²⋊C₄	—	2	2	no	—
336	#500	C₂³	1	2	yes	complemented
337	#499	C₂³	1	4	yes	complemented
338	#496	C₂³	1	8	yes	complemented
339	#496	C₂³	1	8	yes	complemented
340	#496	C₂³	1	8	yes	complemented
341	#495	C₂³	1	4	yes	complemented
342	#495	C₂³	1	4	yes	complemented
343	#495	C₂³	1	4	yes	complemented
344	#493	C₂³	1	4	yes	—
345	#493	C₂³	1	4	yes	complemented
346	#493	C₂³	1	2	yes	complemented
347	#493	C₂³	1	8	yes	complemented
348	#490	C₂³	1	8	yes	complemented
349	#490	C₂³	1	8	yes	complemented
350	#489	C₂³	1	8	yes	complemented
351	#488	C₂³	1	8	yes	complemented
352	#486	C₂³	1	4	yes	complemented
353	#485	C₂³	1	8	yes	complemented
354	#483	C₂³	1	8	yes	complemented
355	#482	C₂³	1	8	yes	complemented
356	#482	C₂³	1	8	yes	complemented
357	#482	C₂³	1	8	yes	complemented
358	#481	C₂³	1	8	yes	complemented
359	#481	C₂³	1	8	yes	complemented
360	#480	C₂³	1	8	yes	complemented
361	#480	C₂³	1	8	yes	complemented
362	#479	C₂³	1	8	yes	complemented
363	#478	C₂³	1	8	yes	complemented
364	#478	C₂³	1	8	yes	complemented
365	#478	C₂³	1	8	yes	complemented
366	#476	C₂³	1	4	yes	complemented
367	#476	C₂³	1	4	yes	complemented
368	#474	C₂³	1	8	yes	complemented
369	#469	C₂³	1	8	yes	complemented
370	#469	C₂³	1	8	yes	complemented
371	#469	C₂³	1	8	yes	complemented
372	#469	C₂³	1	8	yes	complemented
373	#468	C₂³	1	8	yes	complemented
374	#468	C₂³	1	8	yes	complemented
375	#467	C₂³	1	4	yes	complemented
376	#467	C₂³	1	4	yes	complemented
377	#467	C₂³	1	4	yes	complemented
378	#466	C₂³	1	4	yes	—
379	#466	C₂³	1	4	yes	—
380	#466	C₂³	1	4	yes	—
381	#466	C₂³	1	4	yes	complemented
382	#466	C₂³	1	4	yes	complemented
383	#466	C₂³	1	4	yes	complemented
384	#466	C₂³	1	4	yes	complemented
385	#466	C₂³	1	4	yes	complemented
386	#466	C₂³	1	4	yes	complemented
387	#466	C₂³	1	4	yes	complemented
388	#466	C₂³	1	4	yes	complemented
389	#466	C₂³	1	8	yes	complemented
390	#466	C₂³	1	4	yes	complemented
391	#466	C₂³	1	4	yes	complemented
392	#465	C₂³	1	8	yes	complemented
393	#465	C₂³	1	8	yes	complemented
394	#465	C₂³	1	8	yes	complemented
395	#464	C₂³	1	8	yes	complemented
396	#463	C₂³	1	8	yes	complemented
397	#463	C₂³	1	8	yes	complemented
398	#463	C₂³	1	8	yes	complemented
399	#463	C₂³	1	8	yes	complemented
400	#463	C₂³	1	8	yes	complemented
401	#463	C₂³	1	8	yes	complemented
402	#463	C₂³	1	8	yes	complemented
403	#460	C₂³	1	8	yes	complemented
404	#460	C₂³	1	8	yes	complemented
405	#459	C₂³	1	8	yes	—
406	#459	C₂³	1	4	yes	complemented
407	#459	C₂³	1	4	yes	complemented
408	#459	C₂³	1	8	yes	complemented
409	#459	C₂³	1	8	yes	complemented
410	#459	C₂³	1	8	yes	complemented
411	#459	C₂³	1	8	yes	complemented
412	#459	C₂³	1	8	yes	complemented
413	#459	C₂³	1	8	yes	complemented
414	#452	C₂³	1	8	yes	complemented
415	#450	C₂³	1	8	yes	complemented
416	#450	C₂³	1	8	yes	complemented
417	#450	C₂³	1	8	yes	complemented
418	#450	C₂³	1	8	yes	complemented
419	#450	C₂³	1	8	yes	complemented
420	#449	C₂³	1	8	yes	complemented
421	#449	C₂³	1	8	yes	complemented
422	#449	C₂³	1	8	yes	complemented
423	#449	C₂³	1	8	yes	complemented
424	#449	C₂³	1	8	yes	complemented
425	#449	C₂³	1	8	yes	complemented
426	#449	C₂³	1	8	yes	complemented
427	#448	C₂³	1	8	yes	complemented
428	#447	C₂³	1	8	yes	—
429	#447	C₂³	1	8	yes	—
430	#447	C₂³	1	8	yes	—
431	#447	C₂³	1	8	yes	complemented
432	#447	C₂³	1	8	yes	complemented
433	#447	C₂³	1	8	yes	complemented
434	#447	C₂³	1	8	yes	complemented
435	#447	C₂³	1	8	yes	complemented
436	#447	C₂³	1	8	yes	complemented
437	#447	C₂³	1	8	yes	complemented
438	#447	C₂³	1	8	yes	complemented
439	#447	C₂³	1	8	yes	complemented
440	#447	C₂³	1	8	yes	complemented
441	#446	C₂³	1	2	yes	complemented
442	#446	C₂³	1	4	yes	complemented
443	C₈×Q₈	C₂³	1	2	yes	complemented
444	#442	C₂³	1	8	yes	complemented
445	#442	C₂³	1	8	yes	complemented
446	#442	C₂³	1	8	yes	complemented
447	#442	C₂³	1	8	yes	complemented
448	#440	C₂³	1	8	yes	complemented
449	#440	C₂³	1	8	yes	complemented
450	C₄×Q₁₆	C₂³	1	4	yes	complemented
451	C₄×SD₁₆	C₂³	1	8	yes	complemented
452	C₄×D₈	C₂³	1	2	yes	—
453	C₄×D₈	C₂³	1	4	yes	—
454	C₄×D₈	C₂³	1	4	yes	complemented
455	C₄×D₈	C₂³	1	4	yes	complemented
456	C₄×D₈	C₂³	1	4	yes	complemented
457	C₄×D₈	C₂³	1	2	yes	complemented
458	C₄×D₈	C₂³	1	4	yes	complemented
459	C₄×D₈	C₂³	1	8	yes	complemented
460	C₄×D₈	C₂³	1	4	yes	complemented
461	#436	C₂³	1	2	yes	complemented
462	#436	C₂³	1	4	yes	complemented
463	#435	C₂³	1	4	yes	—
464	#435	C₂³	1	4	yes	—
465	#435	C₂³	1	4	yes	complemented
466	#435	C₂³	1	4	yes	complemented
467	#435	C₂³	1	4	yes	complemented
468	#435	C₂³	1	4	yes	complemented
469	#435	C₂³	1	4	yes	complemented
470	#435	C₂³	1	4	yes	complemented
471	#435	C₂³	1	4	yes	complemented
472	C₈×D₄	C₂³	1	4	yes	—
473	C₈×D₄	C₂³	1	4	yes	—
474	C₈×D₄	C₂³	1	4	yes	complemented
475	C₈×D₄	C₂³	1	4	yes	complemented
476	C₈×D₄	C₂³	1	4	yes	complemented
477	C₈×D₄	C₂³	1	2	yes	complemented
478	C₈×D₄	C₂³	1	4	yes	complemented
479	C₈×D₄	C₂³	1	4	yes	complemented
480	#433	C₂³	1	4	yes	complemented
481	#433	C₂³	1	4	yes	complemented
482	#433	C₂³	1	4	yes	complemented
483	#432	C₂³	1	2	yes	complemented
484	#432	C₂³	1	4	yes	complemented
485	#427	C₂³	1	4	yes	complemented
486	C₂×#107	C₂³	1	2	yes	complemented
487	C₂×#107	C₂³	1	2	yes	complemented
488	C₂×#107	C₂³	1	1	yes	characteristic, complemented
489	#424	C₂³	1	4	yes	complemented
490	#424	C₂³	1	2	yes	complemented
491	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
492	C₂×C₄⋊C₈	C₂³	1	2	yes	complemented
493	#418	C₂³	1	8	yes	complemented
494	#418	C₂³	1	8	yes	complemented
495	#417	C₂³	1	4	yes	complemented
496	#417	C₂³	1	4	yes	complemented
497	#416	C₂³	1	8	yes	complemented
498	C₂×#103	C₂³	1	2	yes	complemented
499	C₂×#102	C₂³	1	4	yes	complemented
500	C₂×#102	C₂³	1	2	yes	complemented
501	C₂×#102	C₂³	1	4	yes	complemented
502	C₂×#102	C₂³	1	4	yes	complemented
503	C₂×#102	C₂³	1	2	yes	complemented
504	C₂×#102	C₂³	1	4	yes	complemented
505	#408	C₂³	1	4	yes	complemented
506	#408	C₂³	1	2	yes	complemented
507	#407	C₂³	1	2	yes	complemented
508	#407	C₂³	1	4	yes	complemented
509	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
510	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
511	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
512	C₂×C₂²⋊C₈	C₂³	1	2	yes	complemented
513	#405	C₂³	1	4	yes	complemented
514	#405	C₂³	1	2	yes	complemented
515	C₂×C₄×C₈	C₂³	1	2	yes	complemented
516	C₂×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
517	C₂⁵	—	2	2	no	—
518	C₂⁵	—	2	4	no	—
519	H(5,𝔽₂)	—	4	8	no	—
520	H(5,𝔽₂)	—	8	8	no	—
521	H(5,𝔽₂)	—	8	4	no	—
522	C₂×#41	—	2	4	no	—
523	C₂×#41	—	2	4	no	—
524	C₂×#41	—	2	8	no	—
525	C₂×#41	—	2	4	no	—
526	C₂×#41	—	2	4	no	—
527	C₂×#41	—	4	4	no	—
528	C₂×#41	—	8	2	no	—
529	C₂×#41	C₂⁴	1	4	yes	—
530	C₂×#41	C₂⁴	1	8	yes	—
531	C₂×#41	C₂⁴	1	4	yes	—
532	C₂×#41	C₂⁴	1	2	yes	—
533	C₂²×Q₈	C₂⁴	1	2	yes	—
534	C₂²×D₄	—	2	4	no	—
535	C₂²×D₄	—	2	2	no	—
536	C₂²×D₄	—	2	4	no	—
537	C₂²×D₄	—	2	4	no	—
538	C₂²×D₄	—	2	2	no	—
539	C₂²×D₄	—	2	4	no	—
540	C₂²×D₄	—	2	8	no	—
541	C₂²×D₄	—	2	8	no	—
542	C₂²×D₄	—	2	8	no	—
543	C₂²×D₄	—	2	8	no	—
544	C₂²×D₄	—	2	8	no	—
545	C₂²×D₄	—	2	8	no	—
546	C₂²×D₄	—	2	4	no	—
547	C₂²×D₄	—	2	8	no	—
548	C₂²×D₄	—	2	4	no	—
549	C₂²×D₄	—	2	4	no	—
550	C₂²×D₄	—	2	2	no	—
551	C₂²×D₄	—	2	4	no	—
552	C₂²×D₄	—	2	8	no	—
553	C₂²×D₄	—	2	4	no	—
554	C₂²×D₄	—	4	4	no	—
555	C₂²×D₄	—	4	8	no	—
556	C₂²×D₄	—	8	2	no	—
557	C₂²×D₄	—	8	4	no	—
558	C₂²×D₄	—	8	16	no	—
559	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
560	C₂²×D₄	C₂×D₄	1	2	yes	—
561	C₂²×D₄	C₂⁴	1	4	yes	—
562	C₂²×D₄	C₂⁴	1	2	yes	—
563	C₂²×D₄	C₂⁴	1	8	yes	—
564	C₂²×D₄	C₂⁴	1	4	yes	—
565	C₂²×D₄	C₂⁴	1	2	yes	—
566	C₂²×D₄	C₂⁴	1	4	yes	—
567	C₂²×D₄	C₂⁴	1	4	yes	—
568	C₂²×D₄	C₂⁴	1	8	yes	—
569	C₂³×C₄	—	2	2	no	—
570	C₂³×C₄	—	2	4	no	—
571	C₂³×C₄	—	2	2	no	—
572	C₂³×C₄	C₂⁴	1	1	yes	characteristic
573	C₂³×C₄	C₂⁴	1	1	yes	characteristic
574	C₂³×C₄	C₂⁴	1	2	yes	—
575	AGL(1,ℤ/8)	—	4	8	no	—
576	AGL(1,ℤ/8)	—	4	16	no	—
577	AGL(1,ℤ/8)	—	8	4	no	—
578	AGL(1,ℤ/8)	—	8	8	no	—
579	#135	—	2	8	no	—
580	#135	—	4	4	no	—
581	#135	—	4	8	no	—
582	#135	—	4	8	no	—
583	C₂×Q₁₆	—	4	2	no	—
584	C₂×Q₁₆	C₂⁴	1	2	yes	—
585	C₂×Q₁₆	C₂⁴	1	2	yes	—
586	C₂×SD₁₆	—	4	4	no	—
587	C₂×SD₁₆	—	8	2	no	—
588	C₂×SD₁₆	C₂⁴	1	4	yes	—
589	C₂×SD₁₆	C₂⁴	1	4	yes	—
590	C₂×SD₁₆	C₂⁴	1	8	yes	—
591	C₂×SD₁₆	C₂⁴	1	8	yes	—
592	C₂×SD₁₆	C₂⁴	1	8	yes	—
593	C₂×D₈	—	2	8	no	—
594	C₂×D₈	—	2	4	no	—
595	C₂×D₈	—	2	16	no	—
596	C₂×D₈	—	4	4	no	—
597	C₂×D₈	—	4	2	no	—
598	C₂×D₈	—	4	4	no	—
599	C₂×D₈	—	4	8	no	—
600	C₂×D₈	—	4	4	no	—
601	C₂×D₈	—	4	4	no	—
602	C₂×D₈	—	4	8	no	—
603	C₂×D₈	—	4	16	no	—
604	C₂×D₈	—	4	8	no	—
605	C₂×D₈	—	8	4	no	—
606	C₂×D₈	C₂⁴	1	4	yes	—
607	C₂×D₈	C₂⁴	1	2	yes	—
608	C₂×D₈	C₂⁴	1	2	yes	—
609	C₂×D₈	C₂⁴	1	1	yes	characteristic
610	C₂×D₈	C₂⁴	1	4	yes	—
611	C₂×D₈	C₂⁴	1	8	yes	—
612	C₂×D₈	C₂⁴	1	2	yes	—
613	C₂×D₈	C₂⁴	1	4	yes	—
614	C₂×D₈	C₂⁴	1	8	yes	—
615	C₂×D₈	C₂⁴	1	4	yes	—
616	C₂×D₈	C₂⁴	1	4	yes	—
617	C₂×D₈	C₂⁴	1	8	yes	—
618	C₂×D₈	C₂⁴	1	8	yes	—
619	C₂×D₈	C₂⁴	1	4	yes	—
620	C₂×D₈	C₂⁴	1	1	yes	characteristic
621	#131	—	4	4	no	—
622	C₂×M₁₆	C₂⁴	1	2	yes	—
623	C₂×M₁₆	C₂⁴	1	4	yes	—
624	C₂×M₁₆	C₂⁴	1	2	yes	—
625	C₂×M₁₆	C₂⁴	1	4	yes	—
626	C₂²×C₈	—	4	2	no	—
627	C₂²×C₈	—	4	4	no	—
628	C₂²×C₈	—	4	2	no	—
629	C₂²×C₈	C₂⁴	1	2	yes	—
630	C₂²×C₈	C₂⁴	1	1	yes	characteristic
631	C₂²×C₈	C₂⁴	1	4	yes	—
632	C₂²×C₈	C₂⁴	1	2	yes	—
633	C₂²×C₈	C₂⁴	1	2	yes	—
634	C₂²×C₈	C₂⁴	1	1	yes	characteristic
635	C₂²×C₈	C₂⁴	1	2	yes	—
636	C₂²×C₈	C₂⁴	1	4	yes	—
637	C₂²×C₈	C₂⁴	1	1	yes	characteristic
638	C₂²×C₈	C₂⁴	1	2	yes	—
639	C₂²×C₈	C₂⁴	1	2	yes	—
640	C₂²×C₈	C₂⁴	1	1	yes	characteristic
641	C₄⋊Q₈	C₂⁴	1	4	yes	—
642	#127	—	2	8	no	—
643	#127	—	2	8	no	—
644	#127	—	2	8	no	—
645	#127	C₂⁴	1	8	yes	—
646	#127	C₂⁴	1	8	yes	—
647	#127	C₂⁴	1	4	yes	—
648	#126	—	2	8	no	—
649	#126	—	2	8	no	—
650	#126	—	2	8	no	—
651	#126	—	2	8	no	—
652	#126	—	2	8	no	—
653	#126	C₂×D₄	1	4	yes	—
654	#126	C₂×D₄	1	4	yes	—
655	#126	C₂×D₄	1	4	yes	—
656	#125	—	2	8	no	—
657	#125	C₂×D₄	1	4	yes	—
658	#125	C₂×D₄	1	2	yes	—
659	#125	C₂⁴	1	8	yes	—
660	#124	—	2	8	no	—
661	#124	—	2	8	no	—
662	#124	—	2	8	no	—
663	#124	—	2	8	no	—
664	#124	—	2	8	no	—
665	#124	—	2	4	no	—
666	#124	—	2	4	no	—
667	#124	C₂×D₄	1	4	yes	—
668	#124	C₂×D₄	1	2	yes	—
669	#124	C₂⁴	1	8	yes	—
670	#124	C₂⁴	1	8	yes	—
671	#123	—	2	8	no	—
672	#123	—	2	8	no	—
673	#123	—	2	8	no	—
674	#123	—	2	8	no	—
675	#123	—	2	8	no	—
676	#123	—	2	8	no	—
677	#123	—	2	8	no	—
678	#123	—	2	8	no	—
679	#123	—	2	8	no	—
680	#123	—	2	8	no	—
681	#123	—	2	8	no	—
682	#123	—	2	8	no	—
683	#123	—	2	8	no	—
684	#123	—	2	8	no	—
685	#123	—	2	8	no	—
686	#123	—	2	8	no	—
687	#123	—	2	8	no	—
688	#123	—	2	8	no	—
689	#123	—	2	8	no	—
690	#123	C₂×D₄	1	4	yes	—
691	#123	C₂×D₄	1	4	yes	—
692	#123	C₂×D₄	1	4	yes	—
693	#123	C₂×D₄	1	4	yes	—
694	#123	C₂×D₄	1	4	yes	—
695	#123	C₂×D₄	1	4	yes	—
696	C₂²⋊Q₈	—	2	4	no	—
697	C₂²⋊Q₈	—	2	4	no	—
698	C₂²⋊Q₈	—	2	4	no	—
699	C₂²⋊Q₈	—	2	8	no	—
700	C₂²⋊Q₈	—	2	8	no	—
701	C₂²⋊Q₈	—	2	8	no	—
702	C₂²⋊Q₈	—	2	8	no	—
703	C₂²⋊Q₈	C₂×D₄	1	2	yes	—
704	C₂²⋊Q₈	C₂×D₄	1	2	yes	—
705	C₂²⋊Q₈	C₂×D₄	1	2	yes	—
706	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
707	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
708	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
709	C₂²⋊Q₈	C₂⁴	1	8	yes	—
710	C₂²⋊Q₈	C₂⁴	1	8	yes	—
711	#121	—	2	4	no	—
712	#121	—	2	8	no	—
713	#121	—	2	8	no	—
714	#121	—	2	4	no	—
715	#121	—	2	8	no	—
716	#121	—	2	8	no	—
717	#121	—	2	4	no	—
718	#121	—	2	4	no	—
719	#121	—	2	4	no	—
720	#121	—	2	4	no	—
721	#121	—	2	4	no	—
722	#121	—	2	4	no	—
723	#121	—	2	8	no	—
724	#121	—	2	4	no	—
725	#121	—	2	4	no	—
726	#121	—	2	8	no	—
727	#121	—	2	8	no	—
728	#121	—	2	8	no	—
729	#121	—	2	8	no	—
730	#121	—	2	4	no	—
731	#121	—	2	4	no	—
732	#121	—	2	8	no	—
733	#121	—	2	8	no	—
734	#121	—	2	8	no	—
735	#121	—	2	8	no	—
736	#121	—	2	8	no	—
737	#121	—	2	8	no	—
738	#121	—	2	8	no	—
739	#121	—	2	8	no	—
740	#121	—	2	8	no	—
741	#121	—	2	8	no	—
742	#121	—	2	8	no	—
743	#121	—	2	8	no	—
744	#121	—	2	8	no	—
745	#121	—	2	8	no	—
746	#121	—	2	8	no	—
747	#121	—	2	8	no	—
748	#121	C₂×D₄	1	2	yes	—
749	#121	C₂×D₄	1	2	yes	—
750	#121	C₂×D₄	1	2	yes	—
751	#121	C₂×D₄	1	4	yes	—
752	#121	C₂×D₄	1	4	yes	—
753	#121	C₂×D₄	1	4	yes	—
754	#121	C₂⁴	1	8	yes	—
755	#121	C₂⁴	1	8	yes	—
756	#121	C₂⁴	1	8	yes	—
757	#121	C₂⁴	1	8	yes	—
758	#121	C₂⁴	1	8	yes	—
759	#121	C₂⁴	1	8	yes	—
760	#121	C₂⁴	1	8	yes	—
761	#120	—	2	8	no	—
762	#120	—	2	8	no	—
763	#120	—	2	8	no	—
764	#120	—	2	8	no	—
765	#120	—	2	8	no	—
766	#120	—	2	8	no	—
767	#120	—	2	8	no	—
768	#120	—	2	8	no	—
769	#120	—	2	8	no	—
770	#120	—	2	8	no	—
771	#120	—	2	8	no	—
772	#120	—	2	8	no	—
773	#120	—	2	8	no	—
774	#120	—	2	8	no	—
775	#120	—	2	8	no	—
776	#120	—	2	8	no	—
777	#120	—	2	8	no	—
778	#120	—	2	8	no	—
779	#120	—	2	8	no	—
780	#120	—	2	8	no	—
781	#120	—	2	8	no	—
782	#120	—	2	8	no	—
783	#120	—	2	8	no	—
784	#120	—	2	8	no	—
785	#120	C₂×D₄	1	4	yes	—
786	#120	C₂×D₄	1	4	yes	—
787	#120	C₂×D₄	1	4	yes	—
788	C₄×Q₈	C₂⁴	1	8	yes	—
789	C₄×Q₈	C₂⁴	1	2	yes	—
790	C₄×D₄	—	2	8	no	—
791	C₄×D₄	—	2	8	no	—
792	C₄×D₄	—	2	8	no	—
793	C₄×D₄	—	2	8	no	—
794	C₄×D₄	—	2	8	no	—
795	C₄×D₄	—	2	8	no	—
796	C₄×D₄	—	2	8	no	—
797	C₄×D₄	—	2	8	no	—
798	C₄×D₄	—	2	8	no	—
799	C₄×D₄	—	2	8	no	—
800	C₄×D₄	—	2	8	no	—
801	C₄×D₄	—	2	4	no	—
802	C₄×D₄	—	2	8	no	—
803	C₄×D₄	—	2	4	no	—
804	C₄×D₄	C₂×D₄	1	4	yes	—
805	C₄×D₄	C₂×D₄	1	4	yes	—
806	C₄×D₄	C₂×D₄	1	4	yes	—
807	C₄×D₄	C₂⁴	1	4	yes	—
808	C₄×D₄	C₂⁴	1	8	yes	—
809	C₄×D₄	C₂⁴	1	4	yes	—
810	C₄×D₄	C₂⁴	1	8	yes	—
811	C₄×D₄	C₂⁴	1	8	yes	—
812	C₄×D₄	C₂⁴	1	8	yes	—
813	C₄×D₄	C₂⁴	1	4	yes	—
814	C₄×D₄	C₂⁴	1	4	yes	—
815	C₄×D₄	C₂⁴	1	4	yes	—
816	C₄×D₄	C₂⁴	1	2	yes	—
817	C₄×D₄	C₂⁴	1	4	yes	—
818	#117	—	2	4	no	—
819	#117	—	2	4	no	—
820	#117	—	2	8	no	—
821	#117	—	2	8	no	—
822	#117	C₂⁴	1	8	yes	—
823	#117	C₂⁴	1	4	yes	—
824	#117	C₂⁴	1	2	yes	—
825	C₂×C₄⋊C₄	—	2	2	no	—
826	C₂×C₄⋊C₄	—	2	4	no	—
827	C₂×C₄⋊C₄	—	2	4	no	—
828	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
829	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	—	2	2	no	—
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₂²⋊C₄	—	2	2	no	—
836	C₂×C₂²⋊C₄	—	2	4	no	—
837	C₂×C₂²⋊C₄	—	2	2	no	—
838	C₂×C₂²⋊C₄	—	2	4	no	—
839	C₂×C₂²⋊C₄	—	2	4	no	—
840	C₂×C₂²⋊C₄	—	2	2	no	—
841	C₂×C₂²⋊C₄	—	2	4	no	—
842	C₂×C₂²⋊C₄	—	2	8	no	—
843	C₂×C₂²⋊C₄	—	2	8	no	—
844	C₂×C₂²⋊C₄	—	2	8	no	—
845	C₂×C₂²⋊C₄	—	2	8	no	—
846	C₂×C₂²⋊C₄	—	2	8	no	—
847	C₂×C₂²⋊C₄	—	2	8	no	—
848	C₂×C₂²⋊C₄	—	2	8	no	—
849	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
851	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
853	C₂×C₄²	C₂⁴	1	1	yes	characteristic
854	C₂×C₄²	C₂⁴	1	2	yes	—
855	#107	C₂⁴	1	4	yes	—
856	#107	C₂⁴	1	2	yes	—
857	#107	C₂⁴	1	4	yes	—
858	#107	C₂⁴	1	2	yes	—
859	#107	C₂⁴	1	4	yes	—
860	#107	C₂⁴	1	4	yes	—
861	#106	C₂⁴	1	8	yes	—
862	#106	C₂⁴	1	8	yes	—
863	C₄⋊C₈	C₂⁴	1	4	yes	—
864	C₄⋊C₈	C₂⁴	1	4	yes	—
865	C₄⋊C₈	C₂⁴	1	4	yes	—
866	C₄⋊C₈	C₂⁴	1	4	yes	—
867	C₄⋊C₈	C₂⁴	1	2	yes	—
868	C₄⋊C₈	C₂⁴	1	4	yes	—
869	C₄⋊C₈	C₂⁴	1	2	yes	—
870	#103	C₂⁴	1	8	yes	—
871	#103	C₂⁴	1	8	yes	—
872	#103	C₂⁴	1	8	yes	—
873	#102	C₂⁴	1	8	yes	—
874	#102	C₂⁴	1	8	yes	—
875	#102	C₂⁴	1	8	yes	—
876	#102	C₂⁴	1	8	yes	—
877	#102	C₂⁴	1	4	yes	—
878	#102	C₂⁴	1	8	yes	—
879	#102	C₂⁴	1	8	yes	—
880	#102	C₂⁴	1	8	yes	—
881	#102	C₂⁴	1	8	yes	—
882	#102	C₂⁴	1	4	yes	—
883	#102	C₂⁴	1	8	yes	—
884	#102	C₂⁴	1	8	yes	—
885	#102	C₂⁴	1	8	yes	—
886	C₂²⋊C₈	C₂⁴	1	4	yes	—
887	C₂²⋊C₈	C₂⁴	1	4	yes	—
888	C₂²⋊C₈	C₂⁴	1	4	yes	—
889	C₂²⋊C₈	C₂⁴	1	4	yes	—
890	C₂²⋊C₈	C₂⁴	1	4	yes	—
891	C₂²⋊C₈	C₂⁴	1	4	yes	—
892	C₂²⋊C₈	C₂⁴	1	4	yes	—
893	C₂²⋊C₈	C₂⁴	1	4	yes	—
894	C₂²⋊C₈	C₂⁴	1	4	yes	—
895	#97	C₂⁴	1	4	yes	—
896	#97	C₂⁴	1	4	yes	—
897	#97	C₂⁴	1	4	yes	—
898	C₄×C₈	C₂⁴	1	4	yes	—
899	C₄×C₈	C₂⁴	1	2	yes	—
900	C₄×C₈	C₂⁴	1	4	yes	—
901	C₄×C₈	C₂⁴	1	2	yes	—
902	C₂⁴	—	2	4	no	—
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	8	no	—
905	C₂⁴	—	2	2	no	—
906	C₂⁴	—	2	4	no	—
907	C₂⁴	—	2	4	no	—
908	C₂⁴	—	2	8	no	—
909	C₂⁴	—	2	4	no	—
910	C₂⁴	—	4	8	no	—
911	C₂⁴	—	8	8	no	—
912	C₂⁴	—	8	4	no	—
913	C₂⁴	—	8	8	no	—
914	C₂⁴	—	16	2	no	—
915	C₂⁴	—	16	4	no	—
916	C₂⁴	C₂²×D₄	1	2	yes	—
917	C₂⁴	C₂²×D₄	1	1	yes	characteristic
918	C₂⁴	C₂²×D₄	1	1	yes	characteristic
919	#41	—	2	8	no	—
920	#41	—	4	2	no	—
921	#41	—	4	2	no	—
922	#41	—	4	4	no	—
923	#41	—	4	4	no	—
924	#41	—	4	8	no	—
925	#41	—	4	4	no	—
926	#41	—	4	8	no	—
927	#41	—	8	8	no	—
928	#41	—	8	8	no	—
929	#41	—	8	16	no	—
930	#41	—	8	8	no	—
931	#41	—	16	4	no	—
932	C₂×Q₈	—	2	2	no	—
933	C₂×Q₈	—	2	4	no	—
934	C₂×Q₈	—	4	2	no	—
935	C₂×Q₈	—	4	2	no	—
936	C₂×Q₈	C₂²×D₄	1	2	yes	—
937	C₂×Q₈	C₂²×D₄	1	2	yes	—
938	C₂×Q₈	C₂⁵	1	4	yes	—
939	C₂×D₄	—	2	8	no	—
940	C₂×D₄	—	2	4	no	—
941	C₂×D₄	—	2	8	no	—
942	C₂×D₄	—	2	4	no	—
943	C₂×D₄	—	2	16	no	—
944	C₂×D₄	—	2	4	no	—
945	C₂×D₄	—	2	8	no	—
946	C₂×D₄	—	2	8	no	—
947	C₂×D₄	—	2	8	no	—
948	C₂×D₄	—	2	8	no	—
949	C₂×D₄	—	2	8	no	—
950	C₂×D₄	—	2	4	no	—
951	C₂×D₄	—	2	8	no	—
952	C₂×D₄	—	2	8	no	—
953	C₂×D₄	—	2	8	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	8	no	—
956	C₂×D₄	—	2	4	no	—
957	C₂×D₄	—	2	4	no	—
958	C₂×D₄	—	2	8	no	—
959	C₂×D₄	—	2	8	no	—
960	C₂×D₄	—	2	4	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	4	no	—
963	C₂×D₄	—	2	8	no	—
964	C₂×D₄	—	2	8	no	—
965	C₂×D₄	—	2	4	no	—
966	C₂×D₄	—	2	4	no	—
967	C₂×D₄	—	2	8	no	—
968	C₂×D₄	—	4	4	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	8	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	8	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	2	no	—
979	C₂×D₄	—	4	8	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	16	no	—
982	C₂×D₄	—	8	8	no	—
983	C₂×D₄	—	8	4	no	—
984	C₂×D₄	—	8	16	no	—
985	C₂×D₄	—	8	8	no	—
986	C₂×D₄	—	8	8	no	—
987	C₂×D₄	—	8	8	no	—
988	C₂×D₄	—	8	8	no	—
989	C₂×D₄	—	8	16	no	—
990	C₂×D₄	—	8	16	no	—
991	C₂×D₄	—	8	16	no	—
992	C₂×D₄	—	8	16	no	—
993	C₂×D₄	—	8	16	no	—
994	C₂×D₄	—	8	16	no	—
995	C₂×D₄	—	8	8	no	—
996	C₂×D₄	—	8	4	no	—
997	C₂×D₄	—	16	4	no	—
998	C₂×D₄	—	16	4	no	—
999	C₂×D₄	—	16	8	no	—
1000	C₂×D₄	—	16	2	no	—
1001	C₂×D₄	C₂²×D₄	1	4	yes	—
1002	C₂×D₄	C₂²×D₄	1	4	yes	—
1003	C₂×D₄	C₂²×D₄	1	4	yes	—
1004	C₂×D₄	C₂²×D₄	1	2	yes	—
1005	C₂×D₄	C₂²×D₄	1	4	yes	—
1006	C₂×D₄	C₂²×D₄	1	2	yes	—
1007	C₂×D₄	C₂²×D₄	1	4	yes	—
1008	C₂×D₄	C₂⁵	1	4	yes	—
1009	C₂×D₄	C₂⁵	1	8	yes	—
1010	C₂×D₄	C₂⁵	1	2	yes	—
1011	C₂×D₄	C₂⁵	1	2	yes	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	4	no	—
1016	C₂²×C₄	—	2	4	no	—
1017	C₂²×C₄	—	2	4	no	—
1018	C₂²×C₄	—	2	8	no	—
1019	C₂²×C₄	—	2	8	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	8	no	—
1022	C₂²×C₄	—	2	8	no	—
1023	C₂²×C₄	—	2	4	no	—
1024	C₂²×C₄	—	2	8	no	—
1025	C₂²×C₄	—	4	1	no	—
1026	C₂²×C₄	—	4	2	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	2	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	8	8	no	—
1032	C₂²×C₄	—	8	4	no	—
1033	C₂²×C₄	—	16	2	no	—
1034	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1035	C₂²×C₄	C₂²×D₄	1	2	yes	—
1036	C₂²×C₄	C₂²×D₄	1	2	yes	—
1037	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1038	C₂²×C₄	C₂²×D₄	1	2	yes	—
1039	C₂²×C₄	C₂²×D₄	1	2	yes	—
1040	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1041	C₂²×C₄	C₂²×D₄	1	2	yes	—
1042	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1043	C₂²×C₄	C₂²×D₄	1	4	yes	—
1044	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁵	1	2	yes	—
1046	C₂²×C₄	C₂⁵	1	2	yes	—
1047	C₂²×C₄	C₂⁵	1	4	yes	—
1048	Q₁₆	—	2	4	no	—
1049	Q₁₆	—	4	2	no	—
1050	SD₁₆	—	2	8	no	—
1051	SD₁₆	—	4	4	no	—
1052	SD₁₆	—	4	8	no	—
1053	SD₁₆	—	4	8	no	—
1054	SD₁₆	—	4	8	no	—
1055	D₈	—	2	8	no	—
1056	D₈	—	2	4	no	—
1057	D₈	—	2	16	no	—
1058	D₈	—	2	4	no	—
1059	D₈	—	2	8	no	—
1060	D₈	—	2	2	no	—
1061	D₈	—	4	4	no	—
1062	D₈	—	4	4	no	—
1063	D₈	—	4	2	no	—
1064	D₈	—	4	8	no	—
1065	D₈	—	4	4	no	—
1066	D₈	—	4	8	no	—
1067	D₈	—	4	8	no	—
1068	D₈	—	4	4	no	—
1069	D₈	H(5,𝔽₂)	1	4	yes	complemented
1070	M₁₆	—	4	2	no	—
1071	M₁₆	—	4	4	no	—
1072	M₁₆	—	4	2	no	—
1073	M₁₆	—	4	4	no	—
1074	C₂×C₈	—	2	4	no	—
1075	C₂×C₈	—	2	2	no	—
1076	C₂×C₈	—	2	8	no	—
1077	C₂×C₈	—	2	4	no	—
1078	C₂×C₈	—	4	1	no	—
1079	C₂×C₈	—	4	2	no	—
1080	C₂×C₈	—	4	4	no	—
1081	C₂×C₈	—	4	2	no	—
1082	C₂×C₈	—	4	1	no	—
1083	C₂×C₈	—	4	2	no	—
1084	C₂×C₈	—	4	2	no	—
1085	C₂×C₈	—	4	1	no	—
1086	C₂×C₈	C₂⁵	1	2	yes	—
1087	C₂×C₈	C₂⁵	1	4	yes	—
1088	C₂×C₈	C₂⁵	1	1	yes	characteristic
1089	C₂×C₈	C₂⁵	1	2	yes	—
1090	C₂×C₈	C₂⁵	1	2	yes	—
1091	C₂×C₈	C₂⁵	1	4	yes	—
1092	C₂×C₈	C₂⁵	1	1	yes	characteristic
1093	C₄⋊C₄	—	2	4	no	—
1094	C₄⋊C₄	—	2	8	no	—
1095	C₄⋊C₄	—	2	8	no	—
1096	C₄⋊C₄	—	2	4	no	—
1097	C₄⋊C₄	—	2	8	no	—
1098	C₄⋊C₄	—	2	4	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	8	no	—
1101	C₄⋊C₄	—	2	8	no	—
1102	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1103	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1104	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1105	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1106	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1107	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1108	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1109	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1110	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1111	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1112	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1113	C₄⋊C₄	C₂⁵	1	4	yes	—
1114	C₄⋊C₄	C₂⁵	1	8	yes	—
1115	C₂²⋊C₄	—	2	8	no	—
1116	C₂²⋊C₄	—	2	8	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	2	4	no	—
1119	C₂²⋊C₄	—	2	8	no	—
1120	C₂²⋊C₄	—	2	8	no	—
1121	C₂²⋊C₄	—	2	8	no	—
1122	C₂²⋊C₄	—	2	8	no	—
1123	C₂²⋊C₄	—	2	8	no	—
1124	C₂²⋊C₄	—	2	8	no	—
1125	C₂²⋊C₄	—	2	8	no	—
1126	C₂²⋊C₄	—	2	8	no	—
1127	C₂²⋊C₄	—	2	8	no	—
1128	C₂²⋊C₄	—	2	8	no	—
1129	C₂²⋊C₄	—	2	8	no	—
1130	C₂²⋊C₄	—	2	8	no	—
1131	C₂²⋊C₄	—	2	8	no	—
1132	C₂²⋊C₄	—	2	8	no	—
1133	C₂²⋊C₄	—	2	8	no	—
1134	C₂²⋊C₄	—	2	4	no	—
1135	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1136	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1137	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1138	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1139	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1140	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1141	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1142	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1143	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1144	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1145	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1146	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1147	C₄²	—	2	8	no	—
1148	C₄²	—	2	8	no	—
1149	C₄²	C₂²×D₄	1	4	yes	—
1150	C₄²	C₂²×D₄	1	2	yes	—
1151	C₄²	C₂⁵	1	2	yes	—
1152	C₄²	C₂⁵	1	4	yes	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	8	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	4	1	no	—
1160	C₂³	—	4	2	no	—
1161	C₂³	—	4	1	no	—
1162	C₂³	—	4	2	no	—
1163	C₂³	—	4	1	no	—
1164	C₂³	—	4	1	no	—
1165	C₂³	—	4	4	no	—
1166	C₂³	—	4	8	no	—
1167	C₂³	—	4	16	no	—
1168	C₂³	—	4	8	no	—
1169	C₂³	—	4	4	no	—
1170	C₂³	—	4	8	no	—
1171	C₂³	—	4	4	no	—
1172	C₂³	—	4	8	no	—
1173	C₂³	—	8	2	no	—
1174	C₂³	—	8	4	no	—
1175	C₂³	—	8	2	no	—
1176	C₂³	—	8	4	no	—
1177	C₂³	—	8	4	no	—
1178	C₂³	—	8	8	no	—
1179	C₂³	—	8	8	no	—
1180	C₂³	—	8	8	no	—
1181	C₂³	—	8	2	no	—
1182	C₂³	—	8	4	no	—
1183	C₂³	—	8	4	no	—
1184	C₂³	—	8	8	no	—
1185	C₂³	—	8	8	no	—
1186	C₂³	—	8	4	no	—
1187	C₂³	—	8	4	no	—
1188	C₂³	—	8	4	no	—
1189	C₂³	—	16	16	no	—
1190	C₂³	—	16	32	no	—
1191	C₂³	#576	1	4	yes	complemented
1192	C₂³	C₂³×D₄	1	4	yes	—
1193	C₂³	C₂³×D₄	1	2	yes	—
1194	C₂³	C₂³×D₄	1	2	yes	—
1195	C₂³	C₂³×D₄	1	1	yes	characteristic
1196	Q₈	—	2	4	no	—
1197	Q₈	—	2	4	no	—
1198	Q₈	—	4	2	no	—
1199	Q₈	—	4	2	no	—
1200	Q₈	—	8	2	no	—
1201	Q₈	—	8	4	no	—
1202	D₄	—	2	8	no	—
1203	D₄	—	2	8	no	—
1204	D₄	—	2	8	no	—
1205	D₄	—	2	4	no	—
1206	D₄	—	2	8	no	—
1207	D₄	—	2	2	no	—
1208	D₄	—	2	2	no	—
1209	D₄	—	2	2	no	—
1210	D₄	—	2	8	no	—
1211	D₄	—	2	4	no	—
1212	D₄	—	4	2	no	—
1213	D₄	—	4	4	no	—
1214	D₄	—	4	2	no	—
1215	D₄	—	4	4	no	—
1216	D₄	—	4	8	no	—
1217	D₄	—	4	16	no	—
1218	D₄	—	4	4	no	—
1219	D₄	—	4	8	no	—
1220	D₄	—	4	16	no	—
1221	D₄	—	4	16	no	—
1222	D₄	—	8	4	no	—
1223	D₄	—	8	4	no	—
1224	D₄	—	8	2	no	—
1225	D₄	—	8	8	no	—
1226	D₄	—	8	4	no	—
1227	D₄	—	8	8	no	—
1228	D₄	—	8	8	no	—
1229	D₄	—	8	4	no	—
1230	D₄	—	8	8	no	—
1231	D₄	—	8	4	no	—
1232	D₄	—	8	8	no	—
1233	D₄	—	8	8	no	—
1234	D₄	—	8	8	no	—
1235	D₄	—	8	8	no	—
1236	D₄	—	8	8	no	—
1237	D₄	—	8	4	no	—
1238	D₄	—	8	8	no	—
1239	D₄	—	8	8	no	—
1240	D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	8	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	1	no	—
1256	C₂×C₄	—	4	2	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	2	no	—
1259	C₂×C₄	—	4	2	no	—
1260	C₂×C₄	—	4	1	no	—
1261	C₂×C₄	—	4	2	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	—	8	8	no	—
1265	C₂×C₄	—	8	8	no	—
1266	C₂×C₄	—	8	4	no	—
1267	C₂×C₄	—	8	4	no	—
1268	C₂×C₄	—	8	4	no	—
1269	C₂×C₄	—	8	8	no	—
1270	C₂×C₄	—	8	8	no	—
1271	C₂×C₄	—	8	8	no	—
1272	C₂×C₄	—	8	2	no	—
1273	C₂×C₄	—	8	2	no	—
1274	C₂×C₄	—	8	4	no	—
1275	C₂×C₄	C₂³×D₄	1	4	yes	—
1276	C₂×C₄	C₂³×D₄	1	4	yes	—
1277	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1278	C₂×C₄	C₂³×D₄	1	2	yes	—
1279	C₂×C₄	C₂³×D₄	1	2	yes	—
1280	C₂×C₄	C₂³×D₄	1	2	yes	—
1281	C₂×C₄	C₂³×D₄	1	4	yes	—
1282	C₂×C₄	C₂³×D₄	1	2	yes	—
1283	C₂×C₄	C₂⁶	1	1	yes	characteristic
1284	C₈	—	2	2	no	—
1285	C₈	—	2	1	no	—
1286	C₈	—	2	4	no	—
1287	C₈	—	2	2	no	—
1288	C₈	—	2	4	no	—
1289	C₈	—	2	2	no	—
1290	C₈	C₂×H(5,𝔽₂)	1	2	yes	—
1291	C₂²	—	2	1	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	1	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	4	no	—
1297	C₂²	—	2	4	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	4	4	no	—
1303	C₂²	—	4	8	no	—
1304	C₂²	—	4	2	no	—
1305	C₂²	—	4	2	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	4	8	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	8	no	—
1311	C₂²	—	4	2	no	—
1312	C₂²	—	4	2	no	—
1313	C₂²	—	4	8	no	—
1314	C₂²	—	4	4	no	—
1315	C₂²	—	8	2	no	—
1316	C₂²	—	8	8	no	—
1317	C₂²	—	8	16	no	—
1318	C₂²	—	16	8	no	—
1319	C₂²	—	16	8	no	—
1320	C₂²	—	16	4	no	—
1321	C₂²	—	16	16	no	—
1322	C₂²	—	16	16	no	—
1323	C₂²	—	32	4	no	—
1324	C₂²	C₂×#576	1	4	yes	—
1325	C₂²	C₂×#576	1	2	yes	—
1326	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	4	no	—
1335	C₄	—	4	4	no	—
1336	C₄	—	4	8	no	—
1337	C₄	—	4	4	no	—
1338	C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1339	C₄	H(7,𝔽₂)	1	1	yes	characteristic
1340	C₂	—	2	4	no	—
1341	C₂	—	2	2	no	—
1342	C₂	—	4	4	no	—
1343	C₂	—	4	2	no	—
1344	C₂	—	4	4	no	—
1345	C₂	—	8	2	no	—
1346	C₂	—	8	4	no	—
1347	C₂	—	8	8	no	—
1348	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1349	C₂	C₂²×#576	1	1	yes	characteristic
1350	C₂	#63091	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂⁴×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #3459 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62892	C₂	semidirect
2. #62436	C₂	semidirect
3. #62431	C₂	semidirect
4. #62270	C₂	semidirect
5. #62266	C₂	semidirect
6. #62247	C₂	semidirect
7. #62245	C₂	semidirect
8. #62015	C₂	semidirect
9. #62007	C₂	semidirect
10. #61617	C₂	semidirect
11. #61609	C₂	semidirect
12. #61571	C₂	semidirect
13. #61569	C₂	semidirect
14. #61480	C₂	semidirect
15. #61471	C₂	semidirect
16. #61056	C₂	semidirect
17. #61049	C₂	semidirect
18. C₂×#3280	C₂	semidirect
19. C₂×D₄×D₈	C₂	semidirect
20. #60304	C₂	semidirect
21. C₂×#576	C₂²	semidirect
22. C₂²×#135	C₂²	semidirect
23. C₂³×D₈	C₂²	semidirect
24. C₂³×D₈	C₂²	semidirect
25. #3558	C₂²	semidirect
26. #3543	C₂²	semidirect
27. #3542	C₂²	semidirect
29. #3537	C₂²	semidirect
33. #3519	C₂²	semidirect
34. #3513	C₂²	semidirect
35. #3505	C₂²	semidirect
36. #3496	C₂²	semidirect
38. #3488	C₂²	semidirect
40. #3484	C₂²	semidirect
41. C₂×#546	C₂²	semidirect
42. C₂×D₄²	C₂²	semidirect
45. #3403	C₂²	semidirect
46. #3399	C₂²	semidirect
47. #3396	C₂²	semidirect
48. #3391	C₂²	semidirect
49. #3380	C₂²	semidirect
50. #3370	C₂²	semidirect
51. #3366	C₂²	semidirect
52. #3341	C₂²	semidirect
53. #3339	C₂²	semidirect
54. #3339	C₂²	semidirect
55. #3336	C₂²	semidirect
56. #3334	C₂²	semidirect
57. #3325	C₂²	semidirect
58. #3322	C₂²	semidirect
59. #3319	C₂²	semidirect
60. #3318	C₂²	semidirect
61. #3318	C₂²	semidirect
62. #3318	C₂²	semidirect
63. #3310	C₂²	semidirect
64. #3310	C₂²	semidirect
65. #3309	C₂²	semidirect
66. #3306	C₂²	semidirect
67. #3306	C₂²	semidirect
68. #3301	C₂²	semidirect
69. #3296	C₂²	semidirect
70. #3294	C₂²	semidirect
71. #3287	C₂²	semidirect
72. #3285	C₂²	semidirect
73. #3280	C₂²	semidirect
74. #3280	C₂²	semidirect
75. #3280	C₂²	semidirect
76. #3280	C₂²	semidirect
77. #3280	C₂²	semidirect
78. #3280	C₂²	semidirect
79. D₄×D₈	C₂²	semidirect
80. D₄×D₈	C₂²	semidirect
81. D₄×D₈	C₂²	semidirect
82. D₄×D₈	C₂²	semidirect
83. D₄×D₈	C₂²	semidirect
84. D₄×D₈	C₂²	semidirect
85. D₄×D₈	C₂²	semidirect
86. D₄×D₈	C₂²	semidirect
87. D₄×D₈	C₂²	semidirect
88. #3274	C₂²	semidirect
89. #3273	C₂²	semidirect
90. #3268	C₂²	semidirect
91. #3265	C₂²	semidirect
92. #3265	C₂²	semidirect
93. #3264	C₂²	semidirect
94. #3264	C₂²	semidirect
95. #3264	C₂²	semidirect
96. #3264	C₂²	semidirect
97. #3264	C₂²	semidirect
98. #3264	C₂²	semidirect
99. #3259	C₂²	semidirect
100. #3257	C₂²	semidirect
101. #3250	C₂²	semidirect
102. #3245	C₂²	semidirect
103. #3224	C₂²	semidirect
104. #3220	C₂²	semidirect
105. #3220	C₂²	semidirect
106. #3217	C₂²	semidirect
107. #3213	C₂²	semidirect
108. #3199	C₂²	semidirect
109. #3198	C₂²	semidirect
110. #3194	C₂²	semidirect
111. #3192	C₂²	semidirect
112. #3191	C₂²	semidirect
113. #3187	C₂²	semidirect
114. #3186	C₂²	semidirect
115. #3186	C₂²	semidirect
116. #3176	C₂²	semidirect
117. #3176	C₂²	semidirect
118. #3175	C₂²	semidirect
119. #3169	C₂²	semidirect
120. #3168	C₂²	semidirect
121. #3155	C₂²	semidirect
122. #3155	C₂²	semidirect
123. C₂×#495	C₂²	semidirect
124. C₂×#493	C₂²	semidirect
125. #3122	C₂²	semidirect
126. #3119	C₂²	semidirect
127. #3118	C₂²	semidirect
128. #3114	C₂²	semidirect
129. #3109	C₂²	semidirect
130. #3061	C₂²	semidirect
131. #3058	C₂²	semidirect
132. #3050	C₂²	semidirect
133. C₂×#467	C₂²	semidirect
134. C₂×#466	C₂²	semidirect
135. C₂×#466	C₂²	semidirect
136. C₂×#466	C₂²	semidirect
137. C₂×#466	C₂²	semidirect
138. #3045	C₂²	semidirect
139. #3041	C₂²	semidirect
140. C₂×#463	C₂²	semidirect
141. C₂×#459	C₂²	semidirect
142. #3012	C₂²	semidirect
143. #3008	C₂²	semidirect
144. #3006	C₂²	semidirect
145. #3003	C₂²	semidirect
146. C₂×#449	C₂²	semidirect
147. C₂×#450	C₂²	semidirect
148. C₂×#447	C₂²	semidirect
149. C₂×#447	C₂²	semidirect
150. #2992	C₂²	semidirect
151. #2992	C₂²	semidirect
152. #2976	C₂²	semidirect
153. #2976	C₂²	semidirect
154. #2973	C₂²	semidirect
155. #2973	C₂²	semidirect
156. #2966	C₂²	semidirect
157. #2966	C₂²	semidirect
158. #2951	C₂²	semidirect
159. #2948	C₂²	semidirect
160. C₂×C₄×D₈	C₂²	semidirect
161. C₂×C₄×D₈	C₂²	semidirect
162. #2929	C₂²	semidirect
163. #2929	C₂²	semidirect
164. C₂×C₈×D₄	C₂²	semidirect
165. C₂×C₈×D₄	C₂²	semidirect
167. C₂×H(5,𝔽₂)	C₂³	semidirect
168. C₂²×#41	C₂³	semidirect
171. C₂³×D₄	C₂³	semidirect
173. C₂×AGL(1,ℤ/8)	C₂³	semidirect
174. C₂×AGL(1,ℤ/8)	C₂³	semidirect
175. C₂×AGL(1,ℤ/8)	C₂³	semidirect
176. C₂×AGL(1,ℤ/8)	C₂³	semidirect
179. C₂×#135	C₂³	semidirect
180. C₂×#135	C₂³	semidirect
181. C₂×#135	C₂³	semidirect
182. C₂²×Q₁₆	C₂³	semidirect
183. C₂²×SD₁₆	C₂³	semidirect
184. C₂²×SD₁₆	C₂³	semidirect
194. C₂²×D₈	C₂³	semidirect
195. C₂²×D₈	C₂³	semidirect
196. C₂²×D₈	C₂³	semidirect
197. C₂²×D₈	C₂³	semidirect
198. C₂²×D₈	C₂³	semidirect
199. C₂²×D₈	C₂³	semidirect
200. C₂×#131	C₂³	semidirect
202. C₂³×C₈	C₂³	semidirect
203. C₂³×C₈	C₂³	semidirect
211. #559	C₂³	semidirect
212. #555	C₂³	semidirect
213. #554	C₂³	semidirect
217. #553	C₂³	semidirect
218. #553	C₂³	semidirect
224. #550	C₂³	semidirect
225. #550	C₂³	semidirect
226. #548	C₂³	semidirect
227. #547	C₂³	semidirect
240. #546	C₂³	semidirect
241. #546	C₂³	semidirect
242. #546	C₂³	semidirect
243. #546	C₂³	semidirect
253. D₄²	C₂³	semidirect
254. D₄²	C₂³	semidirect
255. D₄²	C₂³	semidirect
256. D₄²	C₂³	semidirect
257. D₄²	C₂³	semidirect
259. #542	C₂³	semidirect
262. #540	C₂³	semidirect
263. #540	C₂³	semidirect
280. #537	C₂³	semidirect
284. #535	C₂³	semidirect
285. #535	C₂³	semidirect
286. #535	C₂³	semidirect
300. #532	C₂³	semidirect
301. C₂×#127	C₂³	semidirect
304. #529	C₂³	semidirect
305. C₂×#124	C₂³	semidirect
311. #525	C₂³	semidirect
320. C₂×#121	C₂³	semidirect
321. C₂×#121	C₂³	semidirect
322. C₂×#121	C₂³	semidirect
328. #520	C₂³	semidirect
330. #518	C₂³	semidirect
333. C₂×C₄×D₄	C₂³	semidirect
334. C₂×C₄×D₄	C₂³	semidirect
336. #500	C₂³	semidirect
337. #499	C₂³	semidirect
338. #496	C₂³	semidirect
339. #496	C₂³	semidirect
340. #496	C₂³	semidirect
341. #495	C₂³	semidirect
342. #495	C₂³	semidirect
343. #495	C₂³	semidirect
345. #493	C₂³	semidirect
346. #493	C₂³	semidirect
347. #493	C₂³	semidirect
348. #490	C₂³	semidirect
349. #490	C₂³	semidirect
350. #489	C₂³	semidirect
351. #488	C₂³	semidirect
352. #486	C₂³	semidirect
353. #485	C₂³	semidirect
354. #483	C₂³	semidirect
355. #482	C₂³	semidirect
356. #482	C₂³	semidirect
357. #482	C₂³	semidirect
358. #481	C₂³	semidirect
359. #481	C₂³	semidirect
360. #480	C₂³	semidirect
361. #480	C₂³	semidirect
362. #479	C₂³	semidirect
363. #478	C₂³	semidirect
364. #478	C₂³	semidirect
365. #478	C₂³	semidirect
366. #476	C₂³	semidirect
367. #476	C₂³	semidirect
368. #474	C₂³	semidirect
369. #469	C₂³	semidirect
370. #469	C₂³	semidirect
371. #469	C₂³	semidirect
372. #469	C₂³	semidirect
373. #468	C₂³	semidirect
374. #468	C₂³	semidirect
375. #467	C₂³	semidirect
376. #467	C₂³	semidirect
377. #467	C₂³	semidirect
381. #466	C₂³	semidirect
382. #466	C₂³	semidirect
383. #466	C₂³	semidirect
384. #466	C₂³	semidirect
385. #466	C₂³	semidirect
386. #466	C₂³	semidirect
387. #466	C₂³	semidirect
388. #466	C₂³	semidirect
389. #466	C₂³	semidirect
390. #466	C₂³	semidirect
391. #466	C₂³	semidirect
392. #465	C₂³	semidirect
393. #465	C₂³	semidirect
394. #465	C₂³	semidirect
395. #464	C₂³	semidirect
396. #463	C₂³	semidirect
397. #463	C₂³	semidirect
398. #463	C₂³	semidirect
399. #463	C₂³	semidirect
400. #463	C₂³	semidirect
401. #463	C₂³	semidirect
402. #463	C₂³	semidirect
403. #460	C₂³	semidirect
404. #460	C₂³	semidirect
406. #459	C₂³	semidirect
407. #459	C₂³	semidirect
408. #459	C₂³	semidirect
409. #459	C₂³	semidirect
410. #459	C₂³	semidirect
411. #459	C₂³	semidirect
412. #459	C₂³	semidirect
413. #459	C₂³	semidirect
414. #452	C₂³	semidirect
415. #450	C₂³	semidirect
416. #450	C₂³	semidirect
417. #450	C₂³	semidirect
418. #450	C₂³	semidirect
419. #450	C₂³	semidirect
420. #449	C₂³	semidirect
421. #449	C₂³	semidirect
422. #449	C₂³	semidirect
423. #449	C₂³	semidirect
424. #449	C₂³	semidirect
425. #449	C₂³	semidirect
426. #449	C₂³	semidirect
427. #448	C₂³	semidirect
431. #447	C₂³	semidirect
432. #447	C₂³	semidirect
433. #447	C₂³	semidirect
434. #447	C₂³	semidirect
435. #447	C₂³	semidirect
436. #447	C₂³	semidirect
437. #447	C₂³	semidirect
438. #447	C₂³	semidirect
439. #447	C₂³	semidirect
440. #447	C₂³	semidirect
441. #446	C₂³	semidirect
442. #446	C₂³	semidirect
443. C₈×Q₈	C₂³	semidirect
444. #442	C₂³	semidirect
445. #442	C₂³	semidirect
446. #442	C₂³	semidirect
447. #442	C₂³	semidirect
448. #440	C₂³	semidirect
449. #440	C₂³	semidirect
450. C₄×Q₁₆	C₂³	semidirect
451. C₄×SD₁₆	C₂³	semidirect
454. C₄×D₈	C₂³	semidirect
455. C₄×D₈	C₂³	semidirect
456. C₄×D₈	C₂³	semidirect
457. C₄×D₈	C₂³	semidirect
458. C₄×D₈	C₂³	semidirect
459. C₄×D₈	C₂³	semidirect
460. C₄×D₈	C₂³	semidirect
461. #436	C₂³	semidirect
462. #436	C₂³	semidirect
465. #435	C₂³	semidirect
466. #435	C₂³	semidirect
467. #435	C₂³	semidirect
468. #435	C₂³	semidirect
469. #435	C₂³	semidirect
470. #435	C₂³	semidirect
471. #435	C₂³	semidirect
474. C₈×D₄	C₂³	semidirect
475. C₈×D₄	C₂³	semidirect
476. C₈×D₄	C₂³	semidirect
477. C₈×D₄	C₂³	semidirect
478. C₈×D₄	C₂³	semidirect
479. C₈×D₄	C₂³	semidirect
480. #433	C₂³	semidirect
481. #433	C₂³	semidirect
482. #433	C₂³	semidirect
483. #432	C₂³	semidirect
484. #432	C₂³	semidirect
485. #427	C₂³	semidirect
486. C₂×#107	C₂³	semidirect
487. C₂×#107	C₂³	semidirect
488. C₂×#107	C₂³	semidirect
489. #424	C₂³	semidirect
490. #424	C₂³	semidirect
491. C₂×C₄⋊C₈	C₂³	semidirect
492. C₂×C₄⋊C₈	C₂³	semidirect
493. #418	C₂³	semidirect
494. #418	C₂³	semidirect
495. #417	C₂³	semidirect
496. #417	C₂³	semidirect
497. #416	C₂³	semidirect
498. C₂×#103	C₂³	semidirect
499. C₂×#102	C₂³	semidirect
500. C₂×#102	C₂³	semidirect
501. C₂×#102	C₂³	semidirect
502. C₂×#102	C₂³	semidirect
503. C₂×#102	C₂³	semidirect
504. C₂×#102	C₂³	semidirect
505. #408	C₂³	semidirect
506. #408	C₂³	semidirect
507. #407	C₂³	semidirect
508. #407	C₂³	semidirect
511. C₂×C₂²⋊C₈	C₂³	semidirect
512. C₂×C₂²⋊C₈	C₂³	semidirect
513. #405	C₂³	semidirect
514. #405	C₂³	semidirect
515. C₂×C₄×C₈	C₂³	semidirect
516. C₂×C₄×C₈	C₂³	semidirect
1069. D₈	H(5,𝔽₂)	semidirect
1191. C₂³	#576	semidirect

Maximal subgroups

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

subgroup	index
#62892	2
#62436	2
#62431	2
#62270	2
#62266	2
#62247	2
#62245	2
#62015	2
#62007	2
#61617	2
#61609	2
#61571	2
#61569	2
#61480	2
#61471	2
#61056	2
#61049	2
C₂×#3280	2
C₂×D₄×D₈	2
#60304	2