Subgroups — #11919283

Order 1152.

12389 conjugacy classes of subgroups.

The subgroup lattice has 848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10596756	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5964	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#1009	C₂	1	1	yes	maximal, characteristic, complemented
4	#10596698	C₂	1	8	yes	maximal, complemented
5	#10596696	C₂	1	8	yes	maximal, complemented
6	#10596692	C₂	1	8	yes	maximal, complemented
7	D₃×#1009	C₂	1	8	yes	maximal, complemented
8	#10596688	C₂	1	4	yes	maximal, complemented
9	D₃×#1004	C₂	1	12	yes	maximal, complemented
10	#10596669	C₂	1	6	yes	maximal, complemented
11	C₂×#64307	C₂	1	6	yes	maximal, complemented
12	#87574	—	3	1	no	maximal
13	#87568	—	3	1	no	maximal
14	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
15	#64367	C₂²	1	4	yes	complemented
16	#64366	C₂²	1	4	yes	complemented
17	#41×C₃⋊D₃	C₂²	1	8	yes	complemented
18	#64364	C₂²	1	2	yes	complemented
19	#64361	C₂²	1	6	yes	complemented
20	C₂×#3828	C₂²	1	6	yes	complemented
21	C₃×#1010	C₂²	1	4	yes	complemented
22	C₃×#1009	C₂²	1	8	yes	complemented
23	C₃×#1009	C₂²	1	4	yes	complemented
24	C₃×#1009	C₂²	1	8	yes	complemented
25	C₃×D₃×#41	C₂²	1	8	yes	complemented
26	C₃×#1007	C₂²	1	2	yes	complemented
27	C₂×C₃×#239	C₂²	1	2	yes	complemented
28	C₃×#1004	C₂²	1	6	yes	complemented
29	C₂×C₃×D₃×D₄	C₂²	1	6	yes	complemented
30	C₂×C₃×#235	C₂²	1	6	yes	complemented
31	C₂×C₃×#235	C₂²	1	3	yes	complemented
32	C₂²×C₃×D₁₂	C₂²	1	3	yes	complemented
33	#64330	C₂²	1	24	yes	complemented
34	C₂×D₃×#67	C₂²	1	24	yes	complemented
35	#64320	C₂²	1	16	yes	complemented
36	#64319	C₂²	1	16	yes	complemented
37	D₃×#239	C₂²	1	16	yes	complemented
38	#64315	C₂²	1	16	yes	complemented
39	#64314	C₂²	1	48	yes	complemented
40	#64313	C₂²	1	48	yes	complemented
41	D₃×#237	C₂²	1	48	yes	complemented
42	D₃²×D₄	C₂²	1	48	yes	complemented
43	#64308	C₂²	1	12	yes	complemented
44	#64307	C₂²	1	12	yes	complemented
45	#64307	C₂²	1	24	yes	complemented
46	#64307	C₂²	1	24	yes	complemented
47	#64307	C₂²	1	24	yes	complemented
48	#64307	C₂²	1	12	yes	complemented
49	#64306	C₂²	1	24	yes	complemented
50	D₃×#235	C₂²	1	24	yes	complemented
51	D₃×#235	C₂²	1	24	yes	complemented
52	C₂×#3802	C₂²	1	12	yes	complemented
53	C₂×D₃×D₁₂	C₂²	1	12	yes	complemented
54	#64298	C₂²	1	12	yes	complemented
55	#64297	C₂²	1	4	yes	complemented
56	#64297	C₂²	1	12	yes	complemented
57	C₂×#3796	C₂²	1	12	yes	complemented
58	C₂×#3795	C₂²	1	12	yes	complemented
59	C₃×#585	—	3	1	no	—
60	C₂×C₃×H(5,𝔽₂)	—	3	1	no	—
61	#5968	—	3	8	no	—
62	#5968	—	3	4	no	—
63	#5966	—	3	8	no	—
64	#5966	—	3	8	no	—
65	D₃×H(5,𝔽₂)	—	3	8	no	—
66	D₃×H(5,𝔽₂)	—	3	8	no	—
67	D₃×H(5,𝔽₂)	—	3	8	no	—
68	D₃×H(5,𝔽₂)	—	3	12	no	—
69	#5964	—	3	1	no	—
70	#5964	—	3	1	no	—
71	#5964	—	3	8	no	—
72	#5964	—	3	4	no	—
73	#5964	—	3	6	no	—
74	#5964	—	3	6	no	—
75	#5964	—	6	1	no	—
76	#5964	D₃	1	1	yes	characteristic, complemented
77	C₂×#1009	—	3	8	no	—
78	C₂×#1009	—	3	6	no	—
79	C₂×#1009	D₃	1	1	yes	characteristic, complemented
80	C₂×#1004	—	3	12	no	—
81	C₂×#1004	—	3	6	no	—
82	C₂³×C₃×D₃	C₂³	1	6	yes	complemented
83	C₂²×D₃²	C₂³	1	24	yes	complemented
84	C₃²×#41	C₂³	1	4	yes	complemented
85	C₃²×#41	C₂³	1	4	yes	complemented
86	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic, complemented
87	C₂×C₃²×D₄	C₂³	1	3	yes	complemented
88	C₂²×C₃²×C₄	C₂³	1	3	yes	complemented
89	C₂×#638	C₂³	1	12	yes	complemented
90	#3832	C₂³	1	8	yes	complemented
91	Q₈×C₃⋊D₃	C₂³	1	8	yes	complemented
92	#3830	C₂³	1	24	yes	complemented
93	D₄×C₃⋊D₃	C₂³	1	24	yes	complemented
94	#3828	C₂³	1	4	yes	complemented
95	#3828	C₂³	1	12	yes	complemented
96	#3828	C₂³	1	12	yes	complemented
97	#3828	C₂³	1	12	yes	complemented
98	C₂×C₄⋊(C₃⋊D₃)	C₂³	1	6	yes	complemented
99	C₂×C₄×C₃⋊D₃	C₂³	1	12	yes	complemented
100	C₂×#634	C₂³	1	6	yes	complemented
101	C₂×C₃×#67	C₂³	1	12	yes	complemented
102	C₂×C₃×#67	C₂³	1	6	yes	complemented
103	C₃×#239	C₂³	1	16	yes	complemented
104	C₃×#239	C₂³	1	8	yes	complemented
105	C₃×D₃×Q₈	C₂³	1	8	yes	complemented
106	C₃×#237	C₂³	1	24	yes	complemented
107	C₃×D₃×D₄	C₂³	1	24	yes	complemented
108	C₃×D₃×D₄	C₂³	1	48	yes	complemented
109	C₃×#235	C₂³	1	12	yes	complemented
110	C₃×#235	C₂³	1	4	yes	complemented
111	C₃×#235	C₂³	1	12	yes	complemented
112	C₃×#235	C₂³	1	12	yes	complemented
113	C₃×#235	C₂³	1	12	yes	complemented
114	C₃×#235	C₂³	1	12	yes	complemented
115	C₂×C₃×D₁₂	C₂³	1	12	yes	complemented
116	C₂×C₃×D₁₂	C₂³	1	12	yes	complemented
117	C₂×C₃×D₁₂	C₂³	1	6	yes	complemented
118	C₂×C₃×D₁₂	C₂³	1	3	yes	complemented
119	C₂×C₃×D₁₂	C₂³	1	6	yes	complemented
120	C₂×C₃×C₄×D₃	C₂³	1	12	yes	complemented
121	C₂×C₃×C₄×D₃	C₂³	1	6	yes	complemented
122	C₂×C₃×Dic₆	C₂³	1	6	yes	complemented
123	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic, complemented
124	#3811	C₂³	1	48	yes	complemented
125	D₃×#67	C₂³	1	48	yes	complemented
126	D₃×#67	C₂³	1	48	yes	complemented
127	D₃×#67	C₂³	1	96	yes	complemented
128	C₂×#626	C₂³	1	24	yes	complemented
129	C₂×#625	C₂³	1	24	yes	complemented
130	#3805	C₂³	1	48	yes	complemented
131	#3804	C₂³	1	16	yes	complemented
132	#3804	C₂³	1	48	yes	complemented
133	C₂×D₃×Dic₃	C₂³	1	24	yes	complemented
134	#3802	C₂³	1	24	yes	complemented
135	#3802	C₂³	1	48	yes	complemented
136	D₃×D₁₂	C₂³	1	24	yes	complemented
137	D₃×D₁₂	C₂³	1	48	yes	complemented
138	D₃×D₁₂	C₂³	1	24	yes	complemented
139	C₄×D₃²	C₂³	1	48	yes	complemented
140	#3799	C₂³	1	8	yes	complemented
141	#3799	C₂³	1	24	yes	complemented
142	#3798	C₂³	1	48	yes	complemented
143	#3797	C₂³	1	8	yes	complemented
144	#3796	C₂³	1	24	yes	complemented
145	#3796	C₂³	1	48	yes	complemented
146	#3796	C₂³	1	8	yes	complemented
147	#3795	C₂³	1	24	yes	complemented
148	#3795	C₂³	1	48	yes	complemented
149	#3795	C₂³	1	24	yes	complemented
150	D₃×Dic₆	C₂³	1	8	yes	complemented
151	D₃×Dic₆	C₂³	1	24	yes	complemented
152	H(7,𝔽₂)	—	9	1	no	Sylow
153	C₃×2₋¹⁺⁴	—	3	4	no	—
154	C₃×2₋¹⁺⁴	—	3	2	no	—
155	C₃×H(5,𝔽₂)	—	3	4	no	—
156	C₃×H(5,𝔽₂)	—	3	8	no	—
157	C₃×H(5,𝔽₂)	—	3	8	no	—
158	C₃×H(5,𝔽₂)	—	3	6	no	—
159	C₂×C₃×#41	—	2	1	no	—
160	C₂×C₃×#41	—	3	8	no	—
161	C₂×C₃×#41	—	3	2	no	—
162	C₂×C₃×#41	—	3	6	no	—
163	C₂×C₃×#41	—	3	3	no	—
164	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
165	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
166	C₂²×C₃×D₄	—	3	6	no	—
167	C₂²×C₃×D₄	—	3	3	no	—
168	C₂²×#67	—	3	24	no	—
169	#1010	—	3	4	no	—
170	#1010	—	3	4	no	—
171	#1010	—	3	16	no	—
172	#1010	—	3	12	no	—
173	#1010	—	3	12	no	—
174	#1010	—	3	4	no	—
175	#1010	—	3	12	no	—
176	#1010	—	6	4	no	—
177	#1010	C₂×D₃	1	4	yes	complemented
178	#1009	—	3	4	no	—
179	#1009	—	3	4	no	—
180	#1009	—	3	16	no	—
181	#1009	—	3	16	no	—
182	#1009	—	3	48	no	—
183	#1009	—	3	12	no	—
184	#1009	—	3	12	no	—
185	#1009	—	3	24	no	—
186	#1009	—	3	12	no	—
187	#1009	—	3	24	no	—
188	#1009	—	3	24	no	—
189	#1009	—	3	12	no	—
190	#1009	—	6	4	no	—
191	#1009	C₂×D₃	1	8	yes	complemented
192	#1009	C₂×D₃	1	8	yes	complemented
193	#1009	C₂×D₃	1	4	yes	complemented
194	D₃×#41	—	3	8	no	—
195	D₃×#41	—	3	8	no	—
196	D₃×#41	—	3	16	no	—
197	D₃×#41	—	3	16	no	—
198	D₃×#41	—	3	16	no	—
199	D₃×#41	—	3	48	no	—
200	D₃×#41	—	3	24	no	—
201	D₃×#41	—	3	24	no	—
202	D₃×#41	—	3	24	no	—
203	D₃×#41	—	3	24	no	—
204	D₃×#41	—	6	8	no	—
205	D₃×#41	C₂×D₃	1	8	yes	complemented
206	#1007	—	3	2	no	—
207	#1007	—	3	2	no	—
208	#1007	—	3	16	no	—
209	#1007	—	3	4	no	—
210	#1007	—	3	12	no	—
211	#1007	—	6	2	no	—
212	#1007	C₂×D₃	1	2	yes	complemented
213	C₂×#239	—	3	16	no	—
214	C₂×#239	—	3	12	no	—
215	C₂×#239	C₂×D₃	1	2	yes	complemented
216	#1004	—	3	6	no	—
217	#1004	—	3	6	no	—
218	#1004	—	3	24	no	—
219	#1004	—	3	24	no	—
220	#1004	—	3	48	no	—
221	#1004	—	3	48	no	—
222	#1004	—	3	48	no	—
223	#1004	—	3	24	no	—
224	#1004	—	3	12	no	—
225	#1004	—	3	24	no	—
226	#1004	—	3	24	no	—
227	#1004	—	3	12	no	—
228	#1004	—	6	6	no	—
229	#1004	C₂×D₃	1	6	yes	complemented
230	C₂×#237	—	3	48	no	—
231	C₂×#237	—	3	12	no	—
232	C₂×#237	—	3	12	no	—
233	C₂×D₃×D₄	—	3	24	no	—
234	C₂×D₃×D₄	—	3	48	no	—
235	C₂×D₃×D₄	—	3	48	no	—
236	C₂×D₃×D₄	—	3	12	no	—
237	C₂×D₃×D₄	—	3	12	no	—
238	C₂×D₃×D₄	—	3	12	no	—
239	C₂×D₃×D₄	C₂×D₃	1	6	yes	complemented
240	C₂×#235	—	3	6	no	—
241	C₂×#235	—	3	6	no	—
242	C₂×#235	—	3	24	no	—
243	C₂×#235	—	3	24	no	—
244	C₂×#235	—	3	12	no	—
245	C₂×#235	—	6	6	no	—
246	C₂×#235	C₂×D₃	1	6	yes	complemented
247	C₂×#235	C₂×D₃	1	3	yes	complemented
248	C₂²×D₁₂	—	3	12	no	—
249	C₂²×D₁₂	C₂×D₃	1	3	yes	complemented
250	C₂³×C₃²	C₂⁴	1	3	yes	—
251	C₂²×C₃⋊D₃	C₂⁴	1	12	yes	—
252	C₂²×C₃×D₃	—	8	6	no	—
253	C₂²×C₃×D₃	C₂⁴	1	12	yes	—
254	C₂²×C₃×D₃	C₂⁴	1	24	yes	—
255	C₂²×C₃×D₃	C₂⁴	1	6	yes	—
256	C₂×D₃²	—	8	24	no	—
257	C₂×D₃²	C₂⁴	1	48	yes	—
258	C₃²×Q₈	C₂⁴	1	4	yes	—
259	C₃²×D₄	C₂⁴	1	12	yes	—
260	C₂×C₃²×C₄	C₂⁴	1	6	yes	—
261	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
262	C₂×C₃²×C₄	C₂⁴	1	6	yes	—
263	C₂×C₃²×C₄	C₂⁴	1	3	yes	—
264	#638	C₂⁴	1	8	yes	—
265	#638	C₂⁴	1	24	yes	—
266	C₂×C₃⋊Dic₃	C₂⁴	1	12	yes	—
267	C₄⋊(C₃⋊D₃)	C₂⁴	1	4	yes	—
268	C₄⋊(C₃⋊D₃)	C₂⁴	1	12	yes	—
269	C₄×C₃⋊D₃	C₂⁴	1	8	yes	—
270	C₄×C₃⋊D₃	C₂⁴	1	24	yes	—
271	#634	C₂⁴	1	4	yes	—
272	#634	C₂⁴	1	12	yes	—
273	C₃×#67	C₂⁴	1	24	yes	—
274	C₃×#67	C₂⁴	1	8	yes	—
275	C₃×#67	C₂⁴	1	24	yes	—
276	C₂×C₃×Dic₃	C₂⁴	1	12	yes	—
277	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
278	C₃×D₁₂	C₂⁴	1	6	yes	—
279	C₃×D₁₂	C₂⁴	1	24	yes	—
280	C₃×D₁₂	C₂⁴	1	12	yes	—
281	C₃×D₁₂	C₂⁴	1	6	yes	—
282	C₃×D₁₂	C₂⁴	1	4	yes	—
283	C₃×C₄×D₃	C₂⁴	1	8	yes	—
284	C₃×C₄×D₃	C₂⁴	1	24	yes	—
285	C₃×C₄×D₃	C₂⁴	1	24	yes	—
286	C₃×Dic₆	C₂⁴	1	2	yes	—
287	C₃×Dic₆	C₂⁴	1	12	yes	—
288	C₃×Dic₆	C₂⁴	1	4	yes	—
289	C₃×Dic₆	C₂⁴	1	2	yes	—
290	#627	C₂⁴	1	16	yes	—
291	#626	C₂⁴	1	48	yes	—
292	#626	C₂⁴	1	16	yes	—
293	#625	C₂⁴	1	48	yes	—
294	#624	C₂⁴	1	16	yes	—
295	D₃×Dic₃	C₂⁴	1	48	yes	—
296	D₃×Dic₃	C₂⁴	1	16	yes	—
297	#585	—	3	1	no	—
298	#585	—	9	6	no	—
299	#585	—	9	8	no	—
300	#585	—	9	4	no	—
301	#585	—	9	8	no	—
302	#585	—	9	1	no	—
303	C₂×H(5,𝔽₂)	—	3	1	no	—
304	C₂×H(5,𝔽₂)	—	9	6	no	—
305	C₂×H(5,𝔽₂)	—	9	12	no	—
306	C₂×H(5,𝔽₂)	—	9	8	no	—
307	C₂×H(5,𝔽₂)	—	9	8	no	—
308	C₂⁴×C₃	—	3	6	no	—
309	C₂³×D₃	—	3	24	no	—
310	C₂³×D₃	—	3	24	no	—
311	C₂³×D₃	C₂²×D₃	1	6	yes	complemented
312	C₃×#41	—	2	4	no	—
313	C₃×#41	—	2	4	no	—
314	C₃×#41	—	3	8	no	—
315	C₃×#41	—	3	16	no	—
316	C₃×#41	—	3	24	no	—
317	C₃×#41	—	3	12	no	—
318	C₃×#41	—	3	12	no	—
319	C₃×#41	—	3	12	no	—
320	C₃×#41	—	3	12	no	—
321	C₃×#41	—	3	12	no	—
322	C₃×#41	—	3	4	no	—
323	C₃×#41	C₂²×D₃	1	4	yes	complemented
324	C₃×#41	C₂²×D₃	1	4	yes	complemented
325	C₃×#41	C₂²×D₃	1	4	yes	complemented
326	C₃×#41	C₂²×D₃	1	4	yes	complemented
327	C₂×C₃×Q₈	—	2	1	no	—
328	C₂×C₃×Q₈	—	3	8	no	—
329	C₂×C₃×Q₈	—	3	6	no	—
330	C₂×C₃×Q₈	—	3	1	no	—
331	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
332	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic, complemented
333	C₂×C₃×D₄	—	2	3	no	—
334	C₂×C₃×D₄	—	3	12	no	—
335	C₂×C₃×D₄	—	3	6	no	—
336	C₂×C₃×D₄	—	3	24	no	—
337	C₂×C₃×D₄	—	3	48	no	—
338	C₂×C₃×D₄	—	3	6	no	—
339	C₂×C₃×D₄	—	3	12	no	—
340	C₂×C₃×D₄	—	3	12	no	—
341	C₂×C₃×D₄	—	3	6	no	—
342	C₂×C₃×D₄	—	3	3	no	—
343	C₂×C₃×D₄	C₂²×D₃	1	3	yes	complemented
344	C₂×C₃×D₄	C₂²×D₃	1	3	yes	complemented
345	C₂²×C₃×C₄	—	2	3	no	—
346	C₂²×C₃×C₄	—	3	12	no	—
347	C₂²×C₃×C₄	—	3	6	no	—
348	C₂²×C₃×C₄	C₂²×D₃	1	3	yes	complemented
349	C₂²×C₃×C₄	C₂²×D₃	1	3	yes	complemented
350	C₂×#67	—	3	12	no	—
351	C₂×#67	—	3	12	no	—
352	C₂×#67	—	3	24	no	—
353	C₂×#67	—	3	24	no	—
354	C₂×#67	—	3	48	no	—
355	C₂×#67	—	3	48	no	—
356	C₂×#67	—	3	96	no	—
357	C₂×#67	—	3	24	no	—
358	C₂×#67	—	6	12	no	—
359	C₂×#67	C₂²×D₃	1	6	yes	complemented
360	C₂×#67	C₂²×D₃	1	12	yes	complemented
361	C₂²×Dic₃	—	3	24	no	—
362	#239	—	3	8	no	—
363	#239	—	3	8	no	—
364	#239	—	3	48	no	—
365	#239	—	3	24	no	—
366	#239	—	3	8	no	—
367	#239	—	3	24	no	—
368	#239	—	3	8	no	—
369	#239	—	6	8	no	—
370	#239	C₂²×D₃	1	16	yes	complemented
371	#239	C₂²×D₃	1	8	yes	complemented
372	D₃×Q₈	—	3	8	no	—
373	D₃×Q₈	—	3	8	no	—
374	D₃×Q₈	—	3	24	no	—
375	D₃×Q₈	—	3	8	no	—
376	D₃×Q₈	—	3	8	no	—
377	D₃×Q₈	—	3	8	no	—
378	D₃×Q₈	—	6	8	no	—
379	D₃×Q₈	C₂²×D₃	1	8	yes	complemented
380	#237	—	3	24	no	—
381	#237	—	3	24	no	—
382	#237	—	3	48	no	—
383	#237	—	3	48	no	—
384	#237	—	3	48	no	—
385	#237	—	3	16	no	—
386	#237	—	3	48	no	—
387	#237	—	3	24	no	—
388	#237	—	3	24	no	—
389	#237	—	3	48	no	—
390	#237	—	3	24	no	—
391	#237	—	3	8	no	—
392	#237	—	6	24	no	—
393	#237	C₂²×D₃	1	24	yes	complemented
394	D₃×D₄	—	3	48	no	—
395	D₃×D₄	—	3	96	no	—
396	D₃×D₄	—	3	48	no	—
397	D₃×D₄	—	3	24	no	—
398	D₃×D₄	—	3	24	no	—
399	D₃×D₄	—	3	48	no	—
400	D₃×D₄	—	3	48	no	—
401	D₃×D₄	—	3	48	no	—
402	D₃×D₄	—	3	24	no	—
403	D₃×D₄	—	3	48	no	—
404	D₃×D₄	—	3	24	no	—
405	D₃×D₄	—	3	48	no	—
406	D₃×D₄	—	3	24	no	—
407	D₃×D₄	—	3	24	no	—
408	D₃×D₄	—	6	24	no	—
409	D₃×D₄	C₂²×D₃	1	24	yes	complemented
410	D₃×D₄	C₂²×D₃	1	48	yes	complemented
411	#235	—	3	12	no	—
412	#235	—	3	4	no	—
413	#235	—	3	12	no	—
414	#235	—	3	4	no	—
415	#235	—	3	12	no	—
416	#235	—	3	12	no	—
417	#235	—	3	12	no	—
418	#235	—	3	12	no	—
419	#235	—	3	16	no	—
420	#235	—	3	48	no	—
421	#235	—	3	24	no	—
422	#235	—	3	24	no	—
423	#235	—	3	48	no	—
424	#235	—	3	48	no	—
425	#235	—	3	48	no	—
426	#235	—	3	8	no	—
427	#235	—	3	24	no	—
428	#235	—	6	4	no	—
429	#235	—	6	12	no	—
430	#235	—	6	12	no	—
431	#235	—	6	12	no	—
432	#235	C₂²×D₃	1	12	yes	complemented
433	#235	C₂²×D₃	1	12	yes	complemented
434	#235	C₂²×D₃	1	4	yes	complemented
435	#235	C₂²×D₃	1	12	yes	complemented
436	#235	C₂²×D₃	1	12	yes	complemented
437	#235	C₂²×D₃	1	12	yes	complemented
438	C₂×D₁₂	—	3	24	no	—
439	C₂×D₁₂	—	3	6	no	—
440	C₂×D₁₂	—	3	6	no	—
441	C₂×D₁₂	—	3	24	no	—
442	C₂×D₁₂	—	3	48	no	—
443	C₂×D₁₂	—	3	24	no	—
444	C₂×D₁₂	—	6	6	no	—
445	C₂×D₁₂	C₂²×D₃	1	12	yes	complemented
446	C₂×D₁₂	C₂²×D₃	1	3	yes	complemented
447	C₂×D₁₂	C₂²×D₃	1	12	yes	complemented
448	C₂×D₁₂	C₂²×D₃	1	6	yes	complemented
449	C₂×D₁₂	C₂²×D₃	1	6	yes	complemented
450	C₂×C₄×D₃	—	3	24	no	—
451	C₂×C₄×D₃	—	3	12	no	—
452	C₂×C₄×D₃	—	3	12	no	—
453	C₂×C₄×D₃	—	3	48	no	—
454	C₂×C₄×D₃	—	3	48	no	—
455	C₂×C₄×D₃	—	6	12	no	—
456	C₂×C₄×D₃	C₂²×D₃	1	12	yes	complemented
457	C₂×C₄×D₃	C₂²×D₃	1	6	yes	complemented
458	C₂×Dic₆	—	3	6	no	—
459	C₂×Dic₆	—	3	6	no	—
460	C₂×Dic₆	—	3	8	no	—
461	C₂×Dic₆	—	3	24	no	—
462	C₂×Dic₆	—	6	6	no	—
463	C₂×Dic₆	C₂²×D₃	1	1	yes	characteristic, complemented
464	C₂×Dic₆	C₂²×D₃	1	6	yes	complemented
465	C₂²×C₃²	—	4	3	no	—
466	C₂²×C₃²	C₂⁵	1	6	yes	—
467	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
468	C₂×C₃⋊D₃	—	4	12	no	—
469	C₂×C₃⋊D₃	C₂⁵	1	8	yes	—
470	C₂×C₃×D₃	—	4	12	no	—
471	C₂×C₃×D₃	—	4	24	no	—
472	C₂×C₃×D₃	—	4	6	no	—
473	C₂×C₃×D₃	C₂⁵	1	12	yes	—
474	C₂×C₃×D₃	C₂⁵	1	8	yes	—
475	D₃²	—	4	48	no	—
476	C₃²×C₄	C₂⁵	1	1	yes	characteristic
477	C₃²×C₄	C₂⁵	1	1	yes	characteristic
478	C₃²×C₄	C₂⁵	1	6	yes	—
479	C₃⋊Dic₃	C₂⁵	1	8	yes	—
480	C₃×Dic₃	C₂⁵	1	8	yes	—
481	C₃×Dic₃	C₂⁵	1	4	yes	—
482	2₋¹⁺⁴	—	3	4	no	—
483	2₋¹⁺⁴	—	3	2	no	—
484	2₋¹⁺⁴	—	9	16	no	—
485	2₋¹⁺⁴	—	9	4	no	—
486	2₋¹⁺⁴	—	9	12	no	—
487	2₋¹⁺⁴	—	9	12	no	—
488	2₋¹⁺⁴	—	9	4	no	—
489	2₋¹⁺⁴	—	9	2	no	—
490	H(5,𝔽₂)	—	3	8	no	—
491	H(5,𝔽₂)	—	3	8	no	—
492	H(5,𝔽₂)	—	3	4	no	—
493	H(5,𝔽₂)	—	3	6	no	—
494	H(5,𝔽₂)	—	9	24	no	—
495	H(5,𝔽₂)	—	9	48	no	—
496	H(5,𝔽₂)	—	9	48	no	—
497	H(5,𝔽₂)	—	9	12	no	—
498	H(5,𝔽₂)	—	9	24	no	—
499	H(5,𝔽₂)	—	9	24	no	—
500	H(5,𝔽₂)	—	9	24	no	—
501	H(5,𝔽₂)	—	9	12	no	—
502	H(5,𝔽₂)	—	9	16	no	—
503	H(5,𝔽₂)	—	9	12	no	—
504	H(5,𝔽₂)	—	9	4	no	—
505	H(5,𝔽₂)	—	9	6	no	—
506	C₂×#41	—	3	8	no	—
507	C₂×#41	—	3	2	no	—
508	C₂×#41	—	3	3	no	—
509	C₂×#41	—	3	6	no	—
510	C₂×#41	—	9	12	no	—
511	C₂×#41	—	9	24	no	—
512	C₂×#41	—	9	24	no	—
513	C₂×#41	—	9	12	no	—
514	C₂×#41	—	9	48	no	—
515	C₂×#41	—	9	16	no	—
516	C₂×#41	—	9	16	no	—
517	C₂×#41	—	9	24	no	—
518	C₂×#41	—	9	8	no	—
519	C₂×#41	—	9	6	no	—
520	C₂×#41	D₃²	1	1	yes	characteristic, complemented
521	C₂²×D₄	—	3	6	no	—
522	C₂²×D₄	—	3	3	no	—
523	C₂²×D₄	—	9	12	no	—
524	C₂²×D₄	—	9	48	no	—
525	C₂²×D₄	—	9	12	no	—
526	C₂²×D₄	—	9	24	no	—
527	C₂³×C₃	—	2	3	no	—
528	C₂³×C₃	—	3	24	no	—
529	C₂³×C₃	—	3	6	no	—
530	C₂³×C₃	—	3	12	no	—
531	C₂³×C₃	—	24	6	no	—
532	C₂³×C₃	C₂³×D₃	1	3	yes	—
533	C₂³×C₃	C₂³×D₃	1	3	yes	—
534	C₂²×D₃	—	3	12	no	—
535	C₂²×D₃	—	3	12	no	—
536	C₂²×D₃	—	3	48	no	—
537	C₂²×D₃	—	3	48	no	—
538	C₂²×D₃	—	6	12	no	—
539	C₂²×D₃	—	8	6	no	—
540	C₂²×D₃	—	24	24	no	—
541	C₂²×D₃	—	24	24	no	—
542	C₂²×D₃	C₂³×D₃	1	24	yes	—
543	C₂²×D₃	C₂³×D₃	1	6	yes	—
544	C₂²×D₃	C₂³×D₃	1	12	yes	—
545	C₃×Q₈	—	2	4	no	—
546	C₃×Q₈	—	3	2	no	—
547	C₃×Q₈	—	3	2	no	—
548	C₃×Q₈	—	3	12	no	—
549	C₃×Q₈	—	3	4	no	—
550	C₃×Q₈	C₂³×D₃	1	4	yes	—
551	C₃×Q₈	C₂³×D₃	1	4	yes	—
552	C₃×D₄	—	2	12	no	—
553	C₃×D₄	—	3	24	no	—
554	C₃×D₄	—	3	8	no	—
555	C₃×D₄	—	3	24	no	—
556	C₃×D₄	—	3	12	no	—
557	C₃×D₄	—	3	4	no	—
558	C₃×D₄	—	3	6	no	—
559	C₃×D₄	—	3	24	no	—
560	C₃×D₄	—	3	6	no	—
561	C₃×D₄	C₂³×D₃	1	12	yes	—
562	C₃×D₄	C₂³×D₃	1	12	yes	—
563	C₂×C₃×C₄	—	2	6	no	—
564	C₂×C₃×C₄	—	2	6	no	—
565	C₂×C₃×C₄	—	2	1	no	—
566	C₂×C₃×C₄	—	2	3	no	—
567	C₂×C₃×C₄	—	3	12	no	—
568	C₂×C₃×C₄	—	3	2	no	—
569	C₂×C₃×C₄	—	3	24	no	—
570	C₂×C₃×C₄	—	3	8	no	—
571	C₂×C₃×C₄	—	3	24	no	—
572	C₂×C₃×C₄	C₂³×D₃	1	6	yes	—
573	C₂×C₃×C₄	C₂³×D₃	1	6	yes	—
574	C₂×C₃×C₄	C₂³×D₃	1	6	yes	—
575	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
576	C₂×C₃×C₄	C₂³×D₃	1	6	yes	—
577	C₂×C₃×C₄	C₂³×D₃	1	3	yes	—
578	C₂×C₃×C₄	C₂³×D₃	1	3	yes	—
579	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
580	#67	—	3	8	no	—
581	#67	—	3	24	no	—
582	#67	—	3	8	no	—
583	#67	—	3	24	no	—
584	#67	—	3	48	no	—
585	#67	—	3	48	no	—
586	#67	—	3	16	no	—
587	#67	—	3	48	no	—
588	#67	—	6	8	no	—
589	#67	—	6	24	no	—
590	#67	C₂³×D₃	1	8	yes	—
591	#67	C₂³×D₃	1	24	yes	—
592	#67	C₂³×D₃	1	24	yes	—
593	C₂×Dic₃	—	3	12	no	—
594	C₂×Dic₃	—	3	12	no	—
595	C₂×Dic₃	—	3	16	no	—
596	C₂×Dic₃	—	3	48	no	—
597	C₂×Dic₃	—	6	12	no	—
598	C₂×Dic₃	C₂³×D₃	1	2	yes	—
599	C₂×Dic₃	C₂³×D₃	1	12	yes	—
600	D₁₂	—	3	48	no	—
601	D₁₂	—	3	16	no	—
602	D₁₂	—	3	4	no	—
603	D₁₂	—	3	12	no	—
604	D₁₂	—	3	4	no	—
605	D₁₂	—	3	12	no	—
606	D₁₂	—	6	4	no	—
607	D₁₂	—	6	12	no	—
608	D₁₂	C₂³×D₃	1	6	yes	—
609	D₁₂	C₂³×D₃	1	24	yes	—
610	D₁₂	C₂³×D₃	1	12	yes	—
611	D₁₂	C₂³×D₃	1	6	yes	—
612	D₁₂	C₂³×D₃	1	4	yes	—
613	C₄×D₃	—	3	16	no	—
614	C₄×D₃	—	3	48	no	—
615	C₄×D₃	—	3	24	no	—
616	C₄×D₃	—	3	8	no	—
617	C₄×D₃	—	3	24	no	—
618	C₄×D₃	—	3	8	no	—
619	C₄×D₃	—	3	16	no	—
620	C₄×D₃	—	3	16	no	—
621	C₄×D₃	—	6	8	no	—
622	C₄×D₃	—	6	24	no	—
623	C₄×D₃	C₂³×D₃	1	24	yes	—
624	C₄×D₃	C₂³×D₃	1	24	yes	—
625	C₄×D₃	C₂³×D₃	1	8	yes	—
626	Dic₆	—	3	4	no	—
627	Dic₆	—	3	4	no	—
628	Dic₆	—	3	12	no	—
629	Dic₆	—	3	12	no	—
630	Dic₆	—	3	16	no	—
631	Dic₆	—	3	16	no	—
632	Dic₆	—	6	4	no	—
633	Dic₆	—	6	12	no	—
634	Dic₆	C₂³×D₃	1	2	yes	—
635	Dic₆	C₂³×D₃	1	12	yes	—
636	Dic₆	C₂³×D₃	1	4	yes	—
637	Dic₆	C₂³×D₃	1	2	yes	—
638	C₂×C₃²	—	2	6	no	—
639	C₂×C₃²	—	2	1	no	—
640	C₂×C₃²	C₂⁶	1	1	yes	characteristic
641	C₃⋊D₃	—	2	8	no	—
642	C₃×D₃	—	2	8	no	—
643	C₃×D₃	—	2	12	no	—
644	C₂⁴	—	3	6	no	—
645	C₂⁴	—	9	24	no	—
646	#41	—	3	16	no	—
647	#41	—	3	8	no	—
648	#41	—	3	24	no	—
649	#41	—	3	12	no	—
650	#41	—	3	4	no	—
651	#41	—	3	12	no	—
652	#41	—	3	12	no	—
653	#41	—	3	12	no	—
654	#41	—	3	12	no	—
655	#41	—	9	48	no	—
656	#41	—	9	16	no	—
657	#41	—	9	48	no	—
658	#41	—	9	24	no	—
659	#41	—	9	24	no	—
660	#41	—	9	48	no	—
661	#41	—	9	8	no	—
662	#41	—	9	24	no	—
663	#41	—	9	48	no	—
664	#41	—	9	24	no	—
665	#41	—	9	48	no	—
666	#41	—	9	8	no	—
667	#41	—	9	8	no	—
668	#41	—	9	24	no	—
669	#41	—	9	12	no	—
670	#41	—	9	12	no	—
671	#41	—	9	12	no	—
672	#41	—	9	4	no	—
673	#41	C₂×D₃²	1	4	yes	complemented
674	#41	C₂×D₃²	1	4	yes	complemented
675	C₂×Q₈	—	3	8	no	—
676	C₂×Q₈	—	3	1	no	—
677	C₂×Q₈	—	3	6	no	—
678	C₂×Q₈	—	9	8	no	—
679	C₂×Q₈	—	9	24	no	—
680	C₂×Q₈	—	9	8	no	—
681	C₂×Q₈	—	9	8	no	—
682	C₂×Q₈	—	9	6	no	—
683	C₂×Q₈	C₂×D₃²	1	1	yes	characteristic, complemented
684	C₂×D₄	—	3	6	no	—
685	C₂×D₄	—	3	12	no	—
686	C₂×D₄	—	3	48	no	—
687	C₂×D₄	—	3	24	no	—
688	C₂×D₄	—	3	6	no	—
689	C₂×D₄	—	3	3	no	—
690	C₂×D₄	—	3	12	no	—
691	C₂×D₄	—	3	12	no	—
692	C₂×D₄	—	3	6	no	—
693	C₂×D₄	—	9	24	no	—
694	C₂×D₄	—	9	24	no	—
695	C₂×D₄	—	9	48	no	—
696	C₂×D₄	—	9	24	no	—
697	C₂×D₄	—	9	48	no	—
698	C₂×D₄	—	9	48	no	—
699	C₂×D₄	—	9	24	no	—
700	C₂×D₄	—	9	48	no	—
701	C₂×D₄	—	9	48	no	—
702	C₂×D₄	—	9	96	no	—
703	C₂×D₄	—	9	24	no	—
704	C₂×D₄	—	9	12	no	—
705	C₂×D₄	—	9	24	no	—
706	C₂×D₄	—	9	6	no	—
707	C₂×D₄	C₂×D₃²	1	3	yes	complemented
708	C₂²×C₄	—	3	6	no	—
709	C₂²×C₄	—	3	12	no	—
710	C₂²×C₄	—	9	48	no	—
711	C₂²×C₄	—	9	24	no	—
712	C₂²×C₄	—	9	12	no	—
713	C₂²×C₄	C₂×D₃²	1	3	yes	complemented
714	C₂²×C₃	—	2	6	no	—
715	C₂²×C₃	—	2	1	no	—
716	C₂²×C₃	—	3	12	no	—
717	C₂²×C₃	—	3	8	no	—
718	C₂²×C₃	—	4	3	no	—
719	C₂²×C₃	—	4	3	no	—
720	C₂²×C₃	—	8	3	no	—
721	C₂²×C₃	—	12	12	no	—
722	C₂²×C₃	—	12	24	no	—
723	C₂²×C₃	—	12	6	no	—
724	C₂²×C₃	C₂⁴×D₃	1	6	yes	—
725	C₂²×C₃	C₂⁴×D₃	1	6	yes	—
726	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
727	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
728	C₂×D₃	—	3	8	no	—
729	C₂×D₃	—	3	8	no	—
730	C₂×D₃	—	4	6	no	—
731	C₂×D₃	—	4	24	no	—
732	C₂×D₃	—	4	12	no	—
733	C₂×D₃	—	6	8	no	—
734	C₂×D₃	—	12	48	no	—
735	C₂×D₃	—	12	48	no	—
736	C₂×D₃	—	12	12	no	—
737	C₂×D₃	—	12	12	no	—
738	C₂×D₃	—	24	12	no	—
739	C₂×D₃	C₂⁴×D₃	1	12	yes	—
740	C₂×D₃	C₂⁴×D₃	1	8	yes	—
741	C₃×C₄	—	2	1	no	—
742	C₃×C₄	—	2	6	no	—
743	C₃×C₄	—	2	1	no	—
744	C₃×C₄	—	3	4	no	—
745	C₃×C₄	—	3	8	no	—
746	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
747	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
748	C₃×C₄	C₂⁴×D₃	1	6	yes	—
749	C₃×C₄	C₂⁴×D₃	1	6	yes	—
750	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
751	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
752	Dic₃	—	3	8	no	—
753	Dic₃	—	3	8	no	—
754	Dic₃	—	6	8	no	—
755	Dic₃	C₂⁴×D₃	1	4	yes	—
756	Dic₃	C₂⁴×D₃	1	8	yes	—
757	C₃²	H(7,𝔽₂)	1	1	yes	characteristic, complemented, Sylow
758	C₂³	—	3	12	no	—
759	C₂³	—	3	6	no	—
760	C₂³	—	3	24	no	—
761	C₂³	—	9	48	no	—
762	C₂³	—	9	12	no	—
763	C₂³	—	24	6	no	—
764	C₂³	—	72	24	no	—
765	C₂³	C₂²×D₃²	1	3	yes	—
766	Q₈	—	3	12	no	—
767	Q₈	—	3	4	no	—
768	Q₈	—	3	2	no	—
769	Q₈	—	3	2	no	—
770	Q₈	—	9	16	no	—
771	Q₈	—	9	12	no	—
772	Q₈	—	9	4	no	—
773	Q₈	C₂²×D₃²	1	4	yes	—
774	D₄	—	3	24	no	—
775	D₄	—	3	24	no	—
776	D₄	—	3	8	no	—
777	D₄	—	3	24	no	—
778	D₄	—	3	6	no	—
779	D₄	—	3	6	no	—
780	D₄	—	3	12	no	—
781	D₄	—	3	4	no	—
782	D₄	—	9	16	no	—
783	D₄	—	9	48	no	—
784	D₄	—	9	48	no	—
785	D₄	—	9	24	no	—
786	D₄	—	9	8	no	—
787	D₄	—	9	12	no	—
788	D₄	—	9	4	no	—
789	D₄	C₂²×D₃²	1	12	yes	—
790	C₂×C₄	—	3	2	no	—
791	C₂×C₄	—	3	12	no	—
792	C₂×C₄	—	3	8	no	—
793	C₂×C₄	—	3	24	no	—
794	C₂×C₄	—	3	24	no	—
795	C₂×C₄	—	9	16	no	—
796	C₂×C₄	—	9	16	no	—
797	C₂×C₄	—	9	48	no	—
798	C₂×C₄	—	9	12	no	—
799	C₂×C₄	—	9	24	no	—
800	C₂×C₄	—	9	8	no	—
801	C₂×C₄	C₂²×D₃²	1	6	yes	—
802	C₂×C₄	C₂²×D₃²	1	3	yes	—
803	C₂×C₄	C₂²×D₃²	1	6	yes	—
804	C₂×C₄	C₂²×D₃²	1	1	yes	characteristic
805	C₂×C₃	—	2	1	no	—
806	C₂×C₃	—	2	6	no	—
807	C₂×C₃	—	2	6	no	—
808	C₂×C₃	—	2	1	no	—
809	C₂×C₃	—	2	1	no	—
810	C₂×C₃	—	4	6	no	—
811	C₂×C₃	—	4	1	no	—
812	C₂×C₃	—	6	8	no	—
813	C₂×C₃	—	6	12	no	—
814	C₂×C₃	C₂⁵×D₃	1	1	yes	characteristic
815	C₂×C₃	C₂⁵×D₃	1	1	yes	characteristic
816	D₃	—	2	12	no	—
817	D₃	—	2	8	no	—
818	D₃	—	6	8	no	—
819	D₃	—	6	8	no	—
820	D₃	—	12	8	no	—
821	C₂²	—	3	8	no	—
822	C₂²	—	3	12	no	—
823	C₂²	—	4	3	no	—
824	C₂²	—	9	8	no	—
825	C₂²	—	12	6	no	—
826	C₂²	—	12	24	no	—
827	C₂²	—	12	12	no	—
828	C₂²	—	36	12	no	—
829	C₂²	—	36	48	no	—
830	C₂²	C₂³×D₃²	1	6	yes	—
831	C₂²	C₂³×D₃²	1	1	yes	characteristic
832	C₄	—	3	4	no	—
833	C₄	—	3	8	no	—
834	C₄	—	9	8	no	—
835	C₄	C₂³×D₃²	1	6	yes	—
836	C₄	C₂³×D₃²	1	1	yes	characteristic
837	C₄	C₂³×D₃²	1	1	yes	characteristic
838	C₃	—	2	1	no	—
839	C₃	#87568	1	1	yes	characteristic, complemented
840	C₃	#87574	1	1	yes	characteristic, complemented
841	C₂	—	2	1	no	—
842	C₂	—	2	6	no	—
843	C₂	—	6	12	no	—
844	C₂	—	6	8	no	—
845	C₂	—	18	8	no	—
846	C₂	C₂⁴×D₃²	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂	C₂⁴×D₃²
commutator, socle, cosocle	C₂×C₃²	C₂⁶
Fitting	C₂×C₃²×#41	C₂²
hypercenter	C₂×#41	D₃²
hypocenter	C₃²	H(7,𝔽₂)
LCS	G ▷ C₂×C₃² ▷ C₃²
UCS	C₁ ◁ C₂ ◁ C₂×#41

Complements

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

N	H ≅ G/N	type
1. #10596756	C₂	semidirect
2. C₃×#5964	C₂	semidirect
3. C₂×C₃×#1009	C₂	semidirect
4. #10596698	C₂	semidirect
5. #10596696	C₂	semidirect
6. #10596692	C₂	semidirect
7. D₃×#1009	C₂	semidirect
8. #10596688	C₂	semidirect
9. D₃×#1004	C₂	semidirect
10. #10596669	C₂	semidirect
11. C₂×#64307	C₂	semidirect
14. C₂×C₃²×#41	C₂²	semidirect
15. #64367	C₂²	semidirect
16. #64366	C₂²	semidirect
17. #41×C₃⋊D₃	C₂²	semidirect
18. #64364	C₂²	semidirect
19. #64361	C₂²	semidirect
20. C₂×#3828	C₂²	semidirect
21. C₃×#1010	C₂²	semidirect
22. C₃×#1009	C₂²	semidirect
23. C₃×#1009	C₂²	semidirect
24. C₃×#1009	C₂²	semidirect
25. C₃×D₃×#41	C₂²	semidirect
26. C₃×#1007	C₂²	semidirect
27. C₂×C₃×#239	C₂²	semidirect
28. C₃×#1004	C₂²	semidirect
29. C₂×C₃×D₃×D₄	C₂²	semidirect
30. C₂×C₃×#235	C₂²	semidirect
31. C₂×C₃×#235	C₂²	semidirect
32. C₂²×C₃×D₁₂	C₂²	semidirect
33. #64330	C₂²	semidirect
34. C₂×D₃×#67	C₂²	semidirect
35. #64320	C₂²	semidirect
36. #64319	C₂²	semidirect
37. D₃×#239	C₂²	semidirect
38. #64315	C₂²	semidirect
39. #64314	C₂²	semidirect
40. #64313	C₂²	semidirect
41. D₃×#237	C₂²	semidirect
42. D₃²×D₄	C₂²	semidirect
43. #64308	C₂²	semidirect
44. #64307	C₂²	semidirect
45. #64307	C₂²	semidirect
46. #64307	C₂²	semidirect
47. #64307	C₂²	semidirect
48. #64307	C₂²	semidirect
49. #64306	C₂²	semidirect
50. D₃×#235	C₂²	semidirect
51. D₃×#235	C₂²	semidirect
52. C₂×#3802	C₂²	semidirect
53. C₂×D₃×D₁₂	C₂²	semidirect
54. #64298	C₂²	semidirect
55. #64297	C₂²	semidirect
56. #64297	C₂²	semidirect
57. C₂×#3796	C₂²	semidirect
58. C₂×#3795	C₂²	semidirect
76. #5964	D₃	semidirect
79. C₂×#1009	D₃	semidirect
82. C₂³×C₃×D₃	C₂³	semidirect
83. C₂²×D₃²	C₂³	semidirect
84. C₃²×#41	C₂³	semidirect
85. C₃²×#41	C₂³	semidirect
86. C₂×C₃²×Q₈	C₂³	semidirect
87. C₂×C₃²×D₄	C₂³	semidirect
88. C₂²×C₃²×C₄	C₂³	semidirect
89. C₂×#638	C₂³	semidirect
90. #3832	C₂³	semidirect
91. Q₈×C₃⋊D₃	C₂³	semidirect
92. #3830	C₂³	semidirect
93. D₄×C₃⋊D₃	C₂³	semidirect
94. #3828	C₂³	semidirect
95. #3828	C₂³	semidirect
96. #3828	C₂³	semidirect
97. #3828	C₂³	semidirect
98. C₂×C₄⋊(C₃⋊D₃)	C₂³	semidirect
99. C₂×C₄×C₃⋊D₃	C₂³	semidirect
100. C₂×#634	C₂³	semidirect
101. C₂×C₃×#67	C₂³	semidirect
102. C₂×C₃×#67	C₂³	semidirect
103. C₃×#239	C₂³	semidirect
104. C₃×#239	C₂³	semidirect
105. C₃×D₃×Q₈	C₂³	semidirect
106. C₃×#237	C₂³	semidirect
107. C₃×D₃×D₄	C₂³	semidirect
108. C₃×D₃×D₄	C₂³	semidirect
109. C₃×#235	C₂³	semidirect
110. C₃×#235	C₂³	semidirect
111. C₃×#235	C₂³	semidirect
112. C₃×#235	C₂³	semidirect
113. C₃×#235	C₂³	semidirect
114. C₃×#235	C₂³	semidirect
115. C₂×C₃×D₁₂	C₂³	semidirect
116. C₂×C₃×D₁₂	C₂³	semidirect
117. C₂×C₃×D₁₂	C₂³	semidirect
118. C₂×C₃×D₁₂	C₂³	semidirect
119. C₂×C₃×D₁₂	C₂³	semidirect
120. C₂×C₃×C₄×D₃	C₂³	semidirect
121. C₂×C₃×C₄×D₃	C₂³	semidirect
122. C₂×C₃×Dic₆	C₂³	semidirect
123. C₂×C₃×Dic₆	C₂³	semidirect
124. #3811	C₂³	semidirect
125. D₃×#67	C₂³	semidirect
126. D₃×#67	C₂³	semidirect
127. D₃×#67	C₂³	semidirect
128. C₂×#626	C₂³	semidirect
129. C₂×#625	C₂³	semidirect
130. #3805	C₂³	semidirect
131. #3804	C₂³	semidirect
132. #3804	C₂³	semidirect
133. C₂×D₃×Dic₃	C₂³	semidirect
134. #3802	C₂³	semidirect
135. #3802	C₂³	semidirect
136. D₃×D₁₂	C₂³	semidirect
137. D₃×D₁₂	C₂³	semidirect
138. D₃×D₁₂	C₂³	semidirect
139. C₄×D₃²	C₂³	semidirect
140. #3799	C₂³	semidirect
141. #3799	C₂³	semidirect
142. #3798	C₂³	semidirect
143. #3797	C₂³	semidirect
144. #3796	C₂³	semidirect
145. #3796	C₂³	semidirect
146. #3796	C₂³	semidirect
147. #3795	C₂³	semidirect
148. #3795	C₂³	semidirect
149. #3795	C₂³	semidirect
150. D₃×Dic₆	C₂³	semidirect
151. D₃×Dic₆	C₂³	semidirect
164. C₂×C₃×#41	C₂×D₃	semidirect
165. C₂×C₃×#41	C₂×D₃	semidirect
177. #1010	C₂×D₃	semidirect
191. #1009	C₂×D₃	semidirect
192. #1009	C₂×D₃	semidirect
193. #1009	C₂×D₃	semidirect
205. D₃×#41	C₂×D₃	semidirect
212. #1007	C₂×D₃	semidirect
215. C₂×#239	C₂×D₃	semidirect
229. #1004	C₂×D₃	semidirect
239. C₂×D₃×D₄	C₂×D₃	semidirect
246. C₂×#235	C₂×D₃	semidirect
247. C₂×#235	C₂×D₃	semidirect
249. C₂²×D₁₂	C₂×D₃	semidirect
311. C₂³×D₃	C₂²×D₃	semidirect
323. C₃×#41	C₂²×D₃	semidirect
324. C₃×#41	C₂²×D₃	semidirect
325. C₃×#41	C₂²×D₃	semidirect
326. C₃×#41	C₂²×D₃	semidirect
331. C₂×C₃×Q₈	C₂²×D₃	semidirect
332. C₂×C₃×Q₈	C₂²×D₃	semidirect
343. C₂×C₃×D₄	C₂²×D₃	semidirect
344. C₂×C₃×D₄	C₂²×D₃	semidirect
348. C₂²×C₃×C₄	C₂²×D₃	semidirect
349. C₂²×C₃×C₄	C₂²×D₃	semidirect
359. C₂×#67	C₂²×D₃	semidirect
360. C₂×#67	C₂²×D₃	semidirect
370. #239	C₂²×D₃	semidirect
371. #239	C₂²×D₃	semidirect
379. D₃×Q₈	C₂²×D₃	semidirect
393. #237	C₂²×D₃	semidirect
409. D₃×D₄	C₂²×D₃	semidirect
410. D₃×D₄	C₂²×D₃	semidirect
432. #235	C₂²×D₃	semidirect
433. #235	C₂²×D₃	semidirect
434. #235	C₂²×D₃	semidirect
435. #235	C₂²×D₃	semidirect
436. #235	C₂²×D₃	semidirect
437. #235	C₂²×D₃	semidirect
445. C₂×D₁₂	C₂²×D₃	semidirect
446. C₂×D₁₂	C₂²×D₃	semidirect
447. C₂×D₁₂	C₂²×D₃	semidirect
448. C₂×D₁₂	C₂²×D₃	semidirect
449. C₂×D₁₂	C₂²×D₃	semidirect
456. C₂×C₄×D₃	C₂²×D₃	semidirect
457. C₂×C₄×D₃	C₂²×D₃	semidirect
463. C₂×Dic₆	C₂²×D₃	semidirect
464. C₂×Dic₆	C₂²×D₃	semidirect
520. C₂×#41	D₃²	semidirect
673. #41	C₂×D₃²	semidirect
674. #41	C₂×D₃²	semidirect
683. C₂×Q₈	C₂×D₃²	semidirect
707. C₂×D₄	C₂×D₃²	semidirect
713. C₂²×C₄	C₂×D₃²	semidirect
757. C₃²	H(7,𝔽₂)	semidirect
839. C₃	#87568	semidirect
840. C₃	#87574	semidirect

Maximal subgroups

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

subgroup	index
#10596756	2
C₃×#5964	2
C₂×C₃×#1009	2
#10596698	2
#10596696	2
#10596692	2
D₃×#1009	2
#10596688	2
D₃×#1004	2
#10596669	2
C₂×#64307	2
#87574	3
#87568	3