Subgroups — #28350765

Order 13696.

1160 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20293373	C₂	1	2	yes	maximal, complemented
2	#20293365	C₂	1	2	yes	maximal, complemented
3	#20293341	C₂	1	1	yes	maximal, characteristic, complemented
4	#20293325	C₂	1	1	yes	maximal, characteristic, complemented
5	#20293311	C₂	1	1	yes	maximal, characteristic, complemented
6	#20293304	C₂	1	2	yes	maximal, complemented
7	#20293296	C₂	1	1	yes	maximal, characteristic, complemented
8	#20293278	C₂	1	1	yes	maximal, characteristic, complemented
9	#20293274	C₂	1	2	yes	maximal, complemented
10	#20293268	C₂	1	1	yes	maximal, characteristic, complemented
11	#20293265	C₂	1	1	yes	maximal, characteristic, complemented
12	#20293261	C₂	1	1	yes	maximal, characteristic, complemented
13	#20293250	C₂	1	1	yes	maximal, characteristic, complemented
14	#20293230	C₂	1	1	yes	maximal, characteristic, complemented
15	#20293227	C₂	1	2	yes	maximal, complemented
16	#20293209	C₂	1	2	yes	maximal, complemented
17	#20293193	C₂	1	2	yes	maximal, complemented
18	#20293191	C₂	1	1	yes	maximal, characteristic, complemented
19	#20293185	C₂	1	2	yes	maximal, complemented
20	#20293140	C₂	1	1	yes	maximal, characteristic, complemented
21	#20293134	C₂	1	1	yes	maximal, characteristic, complemented
22	#121×D₁₀₇	C₂	1	1	yes	maximal, characteristic, complemented
23	#537×C₁₀₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133819	C₂²	1	1	yes	characteristic, complemented
25	C₂×#13133818	C₂²	1	2	yes	complemented
26	C₂²×D₄₂₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×D₄×D₁₀₇	C₂²	1	2	yes	—
28	C₂×D₄×D₁₀₇	C₂²	1	1	yes	characteristic
29	C₂×D₄×D₁₀₇	C₂²	1	2	yes	complemented
30	C₂²×C₄×D₁₀₇	C₂²	1	1	yes	characteristic, complemented
31	#16812108	C₂²	1	1	yes	characteristic, complemented
32	#16812105	C₂²	1	2	yes	complemented
33	#16812105	C₂²	1	2	yes	complemented
34	#16812105	C₂²	1	1	yes	characteristic, complemented
35	#16812104	C₂²	1	2	yes	complemented
36	#16812104	C₂²	1	2	yes	complemented
37	#16812102	C₂²	1	2	yes	complemented
38	#16812100	C₂²	1	1	yes	characteristic, complemented
39	#16812099	C₂²	1	2	yes	complemented
40	#16812098	C₂²	1	2	yes	complemented
41	#16812098	C₂²	1	1	yes	characteristic, complemented
42	#16812096	C₂²	1	2	yes	complemented
43	#16812095	C₂²	1	2	yes	complemented
44	#16812095	C₂²	1	2	yes	complemented
45	#16812094	C₂²	1	2	yes	complemented
46	#16812094	C₂²	1	2	yes	complemented
47	#16812094	C₂²	1	2	yes	complemented
48	#16812094	C₂²	1	2	yes	complemented
49	#16812093	C₂²	1	2	yes	complemented
50	#16812092	C₂²	1	2	yes	complemented
51	#16812092	C₂²	1	2	yes	complemented
52	#16812091	C₂²	1	2	yes	—
53	#16812091	C₂²	1	2	yes	complemented
54	#16812091	C₂²	1	2	yes	complemented
55	#16812090	C₂²	1	1	yes	characteristic, complemented
56	#16812090	C₂²	1	1	yes	characteristic, complemented
57	#16812089	C₂²	1	2	yes	complemented
58	#16812087	C₂²	1	2	yes	complemented
59	#16812085	C₂²	1	1	yes	characteristic, complemented
60	#16812085	C₂²	1	1	yes	characteristic, complemented
61	#16812085	C₂²	1	1	yes	characteristic, complemented
62	#16812084	C₂²	1	1	yes	characteristic
63	#16812084	C₂²	1	1	yes	characteristic
64	#16812084	C₂²	1	2	yes	complemented
65	#16812083	C₂²	1	1	yes	characteristic
66	#16812083	C₂²	1	1	yes	characteristic, complemented
67	#16812083	C₂²	1	2	yes	complemented
68	#16812083	C₂²	1	1	yes	characteristic, complemented
69	#16812083	C₂²	1	1	yes	characteristic, complemented
70	#16812083	C₂²	1	2	yes	complemented
71	#16812082	C₂²	1	2	yes	complemented
72	#16812082	C₂²	1	2	yes	complemented
73	#16812081	C₂²	1	2	yes	complemented
74	#16812081	C₂²	1	2	yes	complemented
75	#16812081	C₂²	1	2	yes	complemented
76	#16812081	C₂²	1	2	yes	complemented
77	#16812080	C₂²	1	1	yes	characteristic
78	#16812080	C₂²	1	1	yes	characteristic, complemented
79	#16812080	C₂²	1	2	yes	complemented
80	#16812080	C₂²	1	2	yes	complemented
81	#16812080	C₂²	1	1	yes	characteristic, complemented
82	#16812079	C₂²	1	2	yes	—
83	#16812079	C₂²	1	2	yes	complemented
84	#16812079	C₂²	1	2	yes	complemented
85	#16812077	C₂²	1	1	yes	characteristic
86	#16812077	C₂²	1	1	yes	characteristic, complemented
87	#16812077	C₂²	1	2	yes	complemented
88	#16812077	C₂²	1	2	yes	complemented
89	#16812077	C₂²	1	2	yes	complemented
90	#16812077	C₂²	1	2	yes	complemented
91	Q₈×Dic₁₀₇	C₂²	1	1	yes	characteristic, complemented
92	D₄×Dic₁₀₇	C₂²	1	1	yes	characteristic, complemented
93	#16812071	C₂²	1	2	yes	complemented
94	#16812071	C₂²	1	1	yes	characteristic, complemented
95	#16812071	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₂²⋊D₁₀₇	C₂²	1	1	yes	characteristic
97	C₄×C₂²⋊D₁₀₇	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₂²⋊D₁₀₇	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₂²⋊D₁₀₇	C₂²	1	1	yes	characteristic, complemented
100	C₄×C₂²⋊D₁₀₇	C₂²	1	2	yes	complemented
101	C₄×C₂²⋊D₁₀₇	C₂²	1	2	yes	complemented
102	(C₂²⋊D₁₀₇)⋊C₄	C₂²	1	2	yes	complemented
103	#16812068	C₂²	1	1	yes	characteristic, complemented
104	#16812068	C₂²	1	1	yes	characteristic, complemented
105	#16812067	C₂²	1	1	yes	characteristic, complemented
106	#16812067	C₂²	1	2	yes	complemented
107	#16812065	C₂²	1	2	yes	complemented
108	C₄⋊C₄×D₁₀₇	C₂²	1	1	yes	characteristic, complemented
109	C₂×(C₂×D₁₀₇)⋊C₄	C₂²	1	2	yes	complemented
110	C₂²⋊C₄×D₁₀₇	C₂²	1	2	yes	complemented
111	C₂²⋊C₄×D₁₀₇	C₂²	1	2	yes	complemented
112	C₂×#41×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
113	C₂×#41×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
114	C₂²⋊Q₈×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
115	C₂²⋊Q₈×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
116	C₂²⋊Q₈×C₁₀₇	C₂²	1	2	yes	complemented
117	#121×C₁₀₇	C₂²	1	2	yes	complemented
118	#121×C₁₀₇	C₂²	1	2	yes	complemented
119	#121×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
120	#121×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
121	#121×C₁₀₇	C₂²	1	2	yes	complemented
122	C₂×C₄⋊C₄×C₁₀₇	C₂²	1	1	yes	characteristic, complemented
123	C₂³×D₁₀₇	C₂³	1	2	yes	—
124	C₂³×D₁₀₇	C₂³	1	1	yes	characteristic
125	C₂³×D₁₀₇	C₂³	1	2	yes	—
126	#13133819	—	4	2	no	—
127	#13133818	—	4	4	no	—
128	C₂×Dic₂₁₄	C₂³	1	2	yes	—
129	C₂×D₄₂₈	—	4	2	no	—
130	C₂×D₄₂₈	C₂³	1	2	yes	—
131	C₂×D₄₂₈	C₂³	1	1	yes	characteristic
132	C₂×D₄₂₈	C₂³	1	1	yes	characteristic
133	C₂×D₄₂₈	C₂³	1	2	yes	—
134	C₂×D₄₂₈	C₂³	1	2	yes	—
135	C₂×D₄₂₈	C₂³	1	2	yes	—
136	C₂×C₂²⋊D₁₀₇	C₂³	1	1	yes	characteristic
137	C₂×C₂²⋊D₁₀₇	C₂³	1	1	yes	characteristic
138	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
139	C₂×C₂²⋊D₁₀₇	C₂³	1	1	yes	characteristic
140	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
141	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
142	C₂×C₂²⋊D₁₀₇	C₂³	1	1	yes	characteristic
143	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
144	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
145	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
146	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₁₀₇	C₂³	1	2	yes	—
148	D₄×D₁₀₇	—	4	2	no	—
149	D₄×D₁₀₇	—	4	4	no	—
150	D₄×D₁₀₇	—	4	4	no	—
151	C₂²×Dic₁₀₇	C₂³	1	2	yes	—
152	C₂²×Dic₁₀₇	C₂³	1	1	yes	characteristic
153	C₂×C₄×D₁₀₇	—	4	2	no	—
154	C₂×C₄×D₁₀₇	C₂³	1	2	yes	—
155	C₂×C₄×D₁₀₇	C₂³	1	1	yes	characteristic
156	C₂×C₄×D₁₀₇	C₂³	1	1	yes	characteristic
157	C₂×C₄×D₁₀₇	C₂³	1	1	yes	characteristic
158	C₂×C₄×D₁₀₇	C₂³	1	2	yes	—
159	C₂×C₄×D₁₀₇	C₂³	1	2	yes	—
160	C₂×C₄×D₁₀₇	C₂³	1	2	yes	—
161	C₂×C₄×D₁₀₇	C₂³	1	1	yes	characteristic
162	C₄⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
163	C₄⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
164	C₄⋊Dic₁₀₇	C₂³	1	2	yes	—
165	C₄⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
166	C₄⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
167	C₄⋊Dic₁₀₇	C₂³	1	2	yes	—
168	Dic₁₀₇⋊C₄	C₂³	1	2	yes	—
169	Dic₁₀₇⋊C₄	C₂³	1	1	yes	characteristic
170	Dic₁₀₇⋊C₄	C₂³	1	2	yes	—
171	Dic₁₀₇⋊C₄	C₂³	1	2	yes	—
172	Dic₁₀₇⋊C₄	C₂³	1	1	yes	characteristic
173	Dic₁₀₇⋊C₄	C₂³	1	1	yes	characteristic
174	Dic₁₀₇⋊C₄	C₂³	1	2	yes	—
175	Dic₁₀₇⋊C₄	C₂³	1	1	yes	characteristic
176	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
177	C₂²⋊Dic₁₀₇	C₂³	1	2	yes	—
178	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
179	C₂²⋊Dic₁₀₇	C₂³	1	2	yes	—
180	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
181	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
182	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
183	C₂²⋊Dic₁₀₇	C₂³	1	1	yes	characteristic
184	C₂²⋊Dic₁₀₇	C₂³	1	2	yes	—
185	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
186	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
187	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
188	(C₂×D₁₀₇)⋊C₄	C₂³	1	1	yes	characteristic
189	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
190	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
191	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
192	(C₂×D₁₀₇)⋊C₄	C₂³	1	1	yes	characteristic
193	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
194	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
195	(C₂×D₁₀₇)⋊C₄	C₂³	1	1	yes	characteristic
196	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
197	(C₂×D₁₀₇)⋊C₄	C₂³	1	1	yes	characteristic
198	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
199	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
200	(C₂×D₁₀₇)⋊C₄	C₂³	1	2	yes	—
201	C₄×Dic₁₀₇	C₂³	1	2	yes	—
202	C₄×Dic₁₀₇	C₂³	1	2	yes	—
203	C₄×Dic₁₀₇	C₂³	1	2	yes	—
204	C₄×Dic₁₀₇	C₂³	1	1	yes	characteristic
205	C₄×Dic₁₀₇	C₂³	1	1	yes	characteristic
206	#41×C₁₀₇	—	4	2	no	—
207	#41×C₁₀₇	—	4	2	no	—
208	C₂×Q₈×C₁₀₇	C₂³	1	1	yes	characteristic
209	C₂×Q₈×C₁₀₇	C₂³	1	1	yes	characteristic
210	C₂×D₄×C₁₀₇	C₂³	1	1	yes	characteristic
211	C₂×D₄×C₁₀₇	C₂³	1	1	yes	characteristic
212	C₂×D₄×C₁₀₇	C₂³	1	1	yes	characteristic
213	C₂×D₄×C₁₀₇	C₂³	1	2	yes	—
214	C₂×D₄×C₁₀₇	C₂³	1	2	yes	—
215	C₂×D₄×C₁₀₇	C₂³	1	1	yes	characteristic
216	C₂×D₄×C₁₀₇	C₂³	1	2	yes	—
217	C₂²×C₄×C₁₀₇	C₂³	1	1	yes	characteristic
218	C₂²×C₄×C₁₀₇	C₂³	1	1	yes	characteristic
219	C₂²×C₄×C₁₀₇	C₂³	1	1	yes	characteristic
220	C₂²×C₄×C₁₀₇	C₂³	1	2	yes	—
221	C₂²×C₄×C₁₀₇	C₂³	1	2	yes	—
222	C₄⋊C₄×C₁₀₇	C₂³	1	1	yes	characteristic
223	C₄⋊C₄×C₁₀₇	C₂³	1	1	yes	characteristic
224	C₄⋊C₄×C₁₀₇	C₂³	1	2	yes	—
225	C₄⋊C₄×C₁₀₇	C₂³	1	2	yes	—
226	C₄⋊C₄×C₁₀₇	C₂³	1	2	yes	—
227	C₂²⋊C₄×C₁₀₇	C₂³	1	2	yes	—
228	C₂²⋊C₄×C₁₀₇	C₂³	1	2	yes	—
229	C₂²⋊C₄×C₁₀₇	C₂³	1	2	yes	—
230	C₂²⋊C₄×C₁₀₇	C₂³	1	2	yes	—
231	C₂³×C₁₀₇	C₂⁴	1	1	yes	characteristic
232	C₂³×C₁₀₇	C₂⁴	1	1	yes	characteristic
233	C₂³×C₁₀₇	C₂⁴	1	2	yes	—
234	C₂³×C₁₀₇	C₂⁴	1	1	yes	characteristic
235	C₂²×D₁₀₇	—	2	2	no	—
236	C₂²×D₁₀₇	—	2	4	no	—
237	C₂²×D₁₀₇	—	4	1	no	—
238	C₂²×D₁₀₇	—	4	1	no	—
239	C₂²×D₁₀₇	—	4	2	no	—
240	C₂²×D₁₀₇	—	4	2	no	—
241	C₂²×D₁₀₇	—	4	2	no	—
242	C₂²×D₁₀₇	—	4	2	no	—
243	C₂²×D₁₀₇	—	4	2	no	—
244	C₂²×D₁₀₇	C₂⁴	1	2	yes	—
245	C₂²×D₁₀₇	C₂⁴	1	1	yes	characteristic
246	C₂²×D₁₀₇	C₂⁴	1	2	yes	—
247	C₂²×D₁₀₇	C₂⁴	1	1	yes	characteristic
248	Q₈×C₁₀₇	—	2	2	no	—
249	Q₈×C₁₀₇	—	4	1	no	—
250	D₄×C₁₀₇	—	2	2	no	—
251	D₄×C₁₀₇	—	4	1	no	—
252	D₄×C₁₀₇	—	4	2	no	—
253	D₄×C₁₀₇	—	4	1	no	—
254	D₄×C₁₀₇	—	4	1	no	—
255	D₄×C₁₀₇	—	4	2	no	—
256	D₄×C₁₀₇	—	4	2	no	—
257	C₂×C₄×C₁₀₇	—	2	2	no	—
258	C₂×C₄×C₁₀₇	—	2	2	no	—
259	C₂×C₄×C₁₀₇	—	2	2	no	—
260	C₂×C₄×C₁₀₇	—	4	2	no	—
261	C₂×C₄×C₁₀₇	—	4	2	no	—
262	C₂×C₄×C₁₀₇	C₂⁴	1	2	yes	—
263	C₂×C₄×C₁₀₇	C₂⁴	1	2	yes	—
264	C₂×C₄×C₁₀₇	C₂⁴	1	1	yes	characteristic
265	C₂×C₄×C₁₀₇	C₂⁴	1	2	yes	—
266	C₂×C₄×C₁₀₇	C₂⁴	1	1	yes	characteristic
267	C₂×C₄×C₁₀₇	C₂⁴	1	1	yes	characteristic
268	C₂×C₄×C₁₀₇	C₂⁴	1	1	yes	characteristic
269	C₂²⋊D₁₀₇	—	2	2	no	—
270	C₂²⋊D₁₀₇	—	2	2	no	—
271	C₂²⋊D₁₀₇	—	4	2	no	—
272	C₂²⋊D₁₀₇	—	4	2	no	—
273	C₂²⋊D₁₀₇	—	4	2	no	—
274	C₂²⋊D₁₀₇	—	4	2	no	—
275	C₂²⋊D₁₀₇	—	4	1	no	—
276	C₂²⋊D₁₀₇	—	4	2	no	—
277	C₂²⋊D₁₀₇	—	4	2	no	—
278	C₂²⋊D₁₀₇	—	4	2	no	—
279	C₂²⋊D₁₀₇	—	4	1	no	—
280	C₂²⋊D₁₀₇	—	4	2	no	—
281	C₂×Dic₁₀₇	—	4	1	no	—
282	C₂×Dic₁₀₇	—	4	2	no	—
283	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
284	C₂×Dic₁₀₇	C₂⁴	1	2	yes	—
285	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
286	C₂×Dic₁₀₇	C₂⁴	1	2	yes	—
287	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
288	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
289	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
290	C₂×Dic₁₀₇	C₂⁴	1	1	yes	characteristic
291	D₄₂₈	—	2	4	no	—
292	D₄₂₈	—	2	2	no	—
293	D₄₂₈	—	2	2	no	—
294	D₄₂₈	—	4	2	no	—
295	D₄₂₈	—	4	2	no	—
296	D₄₂₈	—	4	2	no	—
297	C₄×D₁₀₇	—	2	4	no	—
298	C₄×D₁₀₇	—	2	2	no	—
299	C₄×D₁₀₇	—	2	2	no	—
300	C₄×D₁₀₇	—	4	1	no	—
301	C₄×D₁₀₇	—	4	1	no	—
302	C₄×D₁₀₇	—	4	2	no	—
303	C₄×D₁₀₇	—	4	2	no	—
304	C₄×D₁₀₇	—	4	2	no	—
305	Dic₂₁₄	—	4	2	no	—
306	C₂²×C₁₀₇	—	2	1	no	—
307	C₂²×C₁₀₇	—	2	1	no	—
308	C₂²×C₁₀₇	—	2	1	no	—
309	C₂²×C₁₀₇	—	2	1	no	—
310	C₂²×C₁₀₇	—	2	2	no	—
311	C₂²×C₁₀₇	—	2	2	no	—
312	C₂²×C₁₀₇	—	2	1	no	—
313	C₂²×C₁₀₇	—	2	1	no	—
314	C₂²×C₁₀₇	—	2	2	no	—
315	C₂²×C₁₀₇	—	2	1	no	—
316	C₂²×C₁₀₇	—	2	1	no	—
317	C₂²×C₁₀₇	—	2	1	no	—
318	C₂²×C₁₀₇	C₂⁵	1	1	yes	characteristic
319	C₂×D₁₀₇	—	2	1	no	—
320	C₂×D₁₀₇	—	2	1	no	—
321	C₂×D₁₀₇	—	2	1	no	—
322	C₂×D₁₀₇	—	2	2	no	—
323	C₂×D₁₀₇	—	2	2	no	—
324	C₂×D₁₀₇	—	2	2	no	—
325	C₂×D₁₀₇	—	2	2	no	—
326	C₂×D₁₀₇	—	2	1	no	—
327	C₂×D₁₀₇	—	2	1	no	—
328	C₂×D₁₀₇	—	2	2	no	—
329	C₂×D₁₀₇	—	2	2	no	—
330	C₂×D₁₀₇	—	4	4	no	—
331	C₂×D₁₀₇	—	8	4	no	—
332	C₂×D₁₀₇	—	8	4	no	—
333	C₂×D₁₀₇	H(5,𝔽₂)	1	2	yes	—
334	C₄×C₁₀₇	—	2	2	no	—
335	C₄×C₁₀₇	—	2	2	no	—
336	C₄×C₁₀₇	—	2	1	no	—
337	C₄×C₁₀₇	—	2	2	no	—
338	C₄×C₁₀₇	—	2	1	no	—
339	C₄×C₁₀₇	—	2	1	no	—
340	C₄×C₁₀₇	H(5,𝔽₂)	1	2	yes	—
341	Dic₁₀₇	—	2	1	no	—
342	Dic₁₀₇	—	2	2	no	—
343	Dic₁₀₇	—	2	1	no	—
344	Dic₁₀₇	—	2	1	no	—
345	Dic₁₀₇	—	2	1	no	—
346	Dic₁₀₇	—	2	1	no	—
347	Dic₁₀₇	—	2	2	no	—
348	Dic₁₀₇	—	2	1	no	—
349	C₂×C₁₀₇	—	4	1	no	—
350	C₂×C₁₀₇	—	4	1	no	—
351	C₂×C₁₀₇	—	4	2	no	—
352	C₂×C₁₀₇	—	4	1	no	—
353	C₂×C₁₀₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
354	C₂×C₁₀₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
355	C₂×C₁₀₇	#585	1	1	yes	characteristic
356	D₁₀₇	—	2	2	no	—
357	D₁₀₇	—	4	1	no	—
358	D₁₀₇	—	4	2	no	—
359	D₁₀₇	—	4	2	no	—
360	#3542	—	107	1	no	maximal, Sylow
361	C₁₀₇	#3542	1	1	yes	characteristic, complemented, Sylow
362	#562	—	107	2	no	—
363	#560	—	107	2	no	—
364	#555	—	107	1	no	—
365	#553	—	107	1	no	—
366	#552	—	107	1	no	—
367	#551	—	107	2	no	—
368	#550	—	107	1	no	—
369	#547	—	107	1	no	—
370	#546	—	107	1	no	—
371	#546	—	107	1	no	—
372	#546	—	107	2	no	—
373	D₄²	—	107	1	no	—
374	#542	—	107	1	no	—
375	#540	—	107	2	no	—
376	#540	—	107	1	no	—
377	#538	—	107	2	no	—
378	#537	D₁₀₇	1	1	yes	characteristic, complemented
379	#535	—	107	1	no	—
380	#535	—	107	2	no	—
381	#534	—	107	2	no	—
382	#525	—	107	1	no	—
383	#525	—	107	1	no	—
384	C₂×#121	—	107	1	no	—
385	C₂×#41	—	107	1	no	—
386	C₂×#41	—	107	2	no	—
387	C₂×#41	C₂×D₁₀₇	1	1	yes	characteristic, complemented
388	C₂×#41	C₂×D₁₀₇	1	1	yes	characteristic, complemented
389	C₂²×D₄	—	107	2	no	—
390	C₂²×D₄	—	107	1	no	—
391	C₂²×D₄	—	107	2	no	—
392	C₂²×D₄	—	107	1	no	—
393	C₂³×C₄	—	107	1	no	—
394	C₄⋊Q₈	—	107	1	no	—
395	#127	—	107	2	no	—
396	#127	—	107	2	no	—
397	#127	—	107	1	no	—
398	#126	—	107	2	no	—
399	#126	—	107	2	no	—
400	#126	—	107	2	no	—
401	#125	—	107	1	no	—
402	#125	—	107	2	no	—
403	#124	—	107	2	no	—
404	#124	—	107	1	no	—
405	#124	—	107	2	no	—
406	#124	—	107	2	no	—
407	#124	—	107	2	no	—
408	#123	—	107	1	no	—
409	#123	—	107	1	no	—
410	#123	—	107	2	no	—
411	#123	—	107	2	no	—
412	#123	—	107	2	no	—
413	#123	—	107	2	no	—
414	#123	—	107	2	no	—
415	#123	—	107	2	no	—
416	#123	—	107	2	no	—
417	#123	—	107	2	no	—
418	#123	—	107	2	no	—
419	#123	—	107	2	no	—
420	C₂²⋊Q₈	—	107	1	no	—
421	C₂²⋊Q₈	—	107	1	no	—
422	C₂²⋊Q₈	—	107	1	no	—
423	C₂²⋊Q₈	—	107	2	no	—
424	C₂²⋊Q₈	—	107	2	no	—
425	C₂²⋊Q₈	C₂×D₁₀₇	1	1	yes	characteristic, complemented
426	C₂²⋊Q₈	C₂×D₁₀₇	1	1	yes	characteristic, complemented
427	C₂²⋊Q₈	C₂×D₁₀₇	1	2	yes	complemented
428	#121	—	107	2	no	—
429	#121	—	107	1	no	—
430	#121	—	107	1	no	—
431	#121	—	107	1	no	—
432	#121	—	107	2	no	—
433	#121	—	107	2	no	—
434	#121	—	107	2	no	—
435	#121	—	107	2	no	—
436	#121	—	107	2	no	—
437	#121	—	107	1	no	—
438	#121	—	107	1	no	—
439	#121	—	107	2	no	—
440	#121	—	107	1	no	—
441	#121	—	107	1	no	—
442	#121	—	107	2	no	—
443	#121	—	107	1	no	—
444	#121	—	107	1	no	—
445	#121	—	107	2	no	—
446	#121	—	107	2	no	—
447	#121	—	107	2	no	—
448	#121	C₂×D₁₀₇	1	1	yes	characteristic, complemented
449	#121	C₂×D₁₀₇	1	2	yes	complemented
450	#121	C₂×D₁₀₇	1	2	yes	complemented
451	#121	C₂×D₁₀₇	1	1	yes	characteristic, complemented
452	#121	C₂×D₁₀₇	1	2	yes	complemented
453	#120	—	107	1	no	—
454	#120	—	107	1	no	—
455	#120	—	107	2	no	—
456	#120	—	107	2	no	—
457	#120	—	107	2	no	—
458	#120	—	107	2	no	—
459	#120	—	107	2	no	—
460	#120	—	107	2	no	—
461	#120	—	107	2	no	—
462	C₄×Q₈	—	107	1	no	—
463	C₄×D₄	—	107	1	no	—
464	C₄×D₄	—	107	1	no	—
465	C₄×D₄	—	107	1	no	—
466	C₄×D₄	—	107	1	no	—
467	C₄×D₄	—	107	1	no	—
468	C₄×D₄	—	107	2	no	—
469	C₄×D₄	—	107	2	no	—
470	C₄×D₄	—	107	2	no	—
471	C₄×D₄	—	107	1	no	—
472	C₄×D₄	—	107	1	no	—
473	C₄×D₄	—	107	2	no	—
474	#117	—	107	1	no	—
475	#117	—	107	1	no	—
476	#117	—	107	1	no	—
477	#117	—	107	2	no	—
478	#117	—	107	2	no	—
479	C₂×C₄⋊C₄	—	107	1	no	—
480	C₂×C₄⋊C₄	C₂×D₁₀₇	1	1	yes	characteristic, complemented
481	C₂×C₂²⋊C₄	—	107	2	no	—
482	C₂×C₂²⋊C₄	—	107	2	no	—
483	C₂×C₂²⋊C₄	—	107	2	no	—
484	C₂⁴	—	107	2	no	—
485	C₂⁴	—	107	2	no	—
486	C₂⁴	—	107	1	no	—
487	#41	—	4	2	no	—
488	#41	—	4	2	no	—
489	#41	—	428	4	no	—
490	#41	—	428	2	no	—
491	C₂×Q₈	—	107	2	no	—
492	C₂×Q₈	C₂²×D₁₀₇	1	1	yes	characteristic
493	C₂×Q₈	C₂²×D₁₀₇	1	1	yes	characteristic
494	C₂×D₄	—	107	1	no	—
495	C₂×D₄	—	107	2	no	—
496	C₂×D₄	—	107	2	no	—
497	C₂×D₄	—	107	2	no	—
498	C₂×D₄	—	107	1	no	—
499	C₂×D₄	—	107	2	no	—
500	C₂×D₄	—	107	2	no	—
501	C₂×D₄	—	107	2	no	—
502	C₂×D₄	—	107	2	no	—
503	C₂×D₄	—	107	2	no	—
504	C₂×D₄	—	107	1	no	—
505	C₂×D₄	—	107	1	no	—
506	C₂×D₄	—	107	2	no	—
507	C₂×D₄	—	107	2	no	—
508	C₂×D₄	—	107	2	no	—
509	C₂×D₄	—	107	2	no	—
510	C₂×D₄	—	107	1	no	—
511	C₂×D₄	—	107	1	no	—
512	C₂×D₄	—	428	2	no	—
513	C₂×D₄	—	428	4	no	—
514	C₂×D₄	—	428	2	no	—
515	C₂×D₄	—	428	4	no	—
516	C₂×D₄	C₂²×D₁₀₇	1	1	yes	characteristic
517	C₂×D₄	C₂²×D₁₀₇	1	1	yes	characteristic
518	C₂×D₄	C₂²×D₁₀₇	1	1	yes	characteristic
519	C₂×D₄	C₂²×D₁₀₇	1	2	yes	—
520	C₂×D₄	C₂²×D₁₀₇	1	2	yes	—
521	C₂×D₄	C₂²×D₁₀₇	1	1	yes	characteristic
522	C₂×D₄	C₂²×D₁₀₇	1	2	yes	—
523	C₂²×C₄	—	107	2	no	—
524	C₂²×C₄	—	107	1	no	—
525	C₂²×C₄	—	107	1	no	—
526	C₂²×C₄	—	107	2	no	—
527	C₂²×C₄	—	107	2	no	—
528	C₂²×C₄	—	107	2	no	—
529	C₂²×C₄	—	107	1	no	—
530	C₂²×C₄	—	107	2	no	—
531	C₂²×C₄	—	107	1	no	—
532	C₂²×C₄	—	107	1	no	—
533	C₂²×C₄	—	428	2	no	—
534	C₂²×C₄	C₂²×D₁₀₇	1	1	yes	characteristic
535	C₂²×C₄	C₂²×D₁₀₇	1	1	yes	characteristic
536	C₂²×C₄	C₂²×D₁₀₇	1	1	yes	characteristic
537	C₂²×C₄	C₂²×D₁₀₇	1	2	yes	—
538	C₂²×C₄	C₂²×D₁₀₇	1	2	yes	—
539	C₄⋊C₄	—	107	1	no	—
540	C₄⋊C₄	—	107	2	no	—
541	C₄⋊C₄	—	107	1	no	—
542	C₄⋊C₄	—	107	1	no	—
543	C₄⋊C₄	—	107	2	no	—
544	C₄⋊C₄	—	107	1	no	—
545	C₄⋊C₄	—	107	1	no	—
546	C₄⋊C₄	—	107	2	no	—
547	C₄⋊C₄	—	107	1	no	—
548	C₄⋊C₄	—	107	1	no	—
549	C₄⋊C₄	—	107	2	no	—
550	C₄⋊C₄	—	107	2	no	—
551	C₄⋊C₄	—	107	1	no	—
552	C₄⋊C₄	—	107	2	no	—
553	C₄⋊C₄	C₂²×D₁₀₇	1	1	yes	characteristic
554	C₄⋊C₄	C₂²×D₁₀₇	1	1	yes	characteristic
555	C₄⋊C₄	C₂²×D₁₀₇	1	2	yes	—
556	C₄⋊C₄	C₂²×D₁₀₇	1	2	yes	—
557	C₄⋊C₄	C₂²×D₁₀₇	1	2	yes	—
558	C₂²⋊C₄	—	107	1	no	—
559	C₂²⋊C₄	—	107	2	no	—
560	C₂²⋊C₄	—	107	2	no	—
561	C₂²⋊C₄	—	107	1	no	—
562	C₂²⋊C₄	—	107	1	no	—
563	C₂²⋊C₄	—	107	1	no	—
564	C₂²⋊C₄	—	107	1	no	—
565	C₂²⋊C₄	—	107	2	no	—
566	C₂²⋊C₄	—	107	1	no	—
567	C₂²⋊C₄	—	107	1	no	—
568	C₂²⋊C₄	—	107	2	no	—
569	C₂²⋊C₄	—	107	2	no	—
570	C₂²⋊C₄	—	107	2	no	—
571	C₂²⋊C₄	—	107	2	no	—
572	C₂²⋊C₄	—	107	2	no	—
573	C₂²⋊C₄	—	107	2	no	—
574	C₂²⋊C₄	—	107	1	no	—
575	C₂²⋊C₄	—	107	2	no	—
576	C₂²⋊C₄	—	107	2	no	—
577	C₂²⋊C₄	—	107	1	no	—
578	C₂²⋊C₄	—	107	2	no	—
579	C₂²⋊C₄	—	107	2	no	—
580	C₂²⋊C₄	—	107	1	no	—
581	C₂²⋊C₄	—	107	2	no	—
582	C₂²⋊C₄	—	107	2	no	—
583	C₂²⋊C₄	C₂²×D₁₀₇	1	2	yes	—
584	C₂²⋊C₄	C₂²×D₁₀₇	1	2	yes	—
585	C₂²⋊C₄	C₂²×D₁₀₇	1	2	yes	—
586	C₂²⋊C₄	C₂²×D₁₀₇	1	2	yes	—
587	C₄²	—	107	2	no	—
588	C₄²	—	107	2	no	—
589	C₄²	—	107	1	no	—
590	C₄²	—	107	1	no	—
591	C₄²	—	107	2	no	—
592	C₂³	—	107	1	no	—
593	C₂³	—	107	2	no	—
594	C₂³	—	107	2	no	—
595	C₂³	—	107	1	no	—
596	C₂³	—	428	2	no	—
597	C₂³	—	428	2	no	—
598	C₂³	—	428	2	no	—
599	C₂³	—	428	2	no	—
600	C₂³	—	428	2	no	—
601	C₂³	—	428	1	no	—
602	C₂³	—	428	1	no	—
603	C₂³	—	214	4	no	—
604	C₂³	—	214	2	no	—
605	C₂³	C₂³×D₁₀₇	1	1	yes	characteristic
606	C₂³	C₂³×D₁₀₇	1	1	yes	characteristic
607	C₂³	C₂³×D₁₀₇	1	2	yes	—
608	C₂³	C₂³×D₁₀₇	1	1	yes	characteristic
609	Q₈	—	2	2	no	—
610	Q₈	—	4	1	no	—
611	Q₈	—	428	2	no	—
612	D₄	—	2	2	no	—
613	D₄	—	4	2	no	—
614	D₄	—	4	2	no	—
615	D₄	—	4	1	no	—
616	D₄	—	4	1	no	—
617	D₄	—	4	1	no	—
618	D₄	—	4	2	no	—
619	D₄	—	428	2	no	—
620	D₄	—	428	2	no	—
621	D₄	—	428	2	no	—
622	D₄	—	428	2	no	—
623	D₄	—	428	2	no	—
624	D₄	—	428	2	no	—
625	D₄	—	428	2	no	—
626	D₄	—	428	2	no	—
627	D₄	—	428	1	no	—
628	D₄	—	428	2	no	—
629	D₄	—	428	2	no	—
630	D₄	—	428	2	no	—
631	D₄	—	428	1	no	—
632	D₄	—	214	4	no	—
633	D₄	—	214	2	no	—
634	D₄	—	214	2	no	—
635	D₄	—	214	2	no	—
636	D₄	—	214	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	4	2	no	—
641	C₂×C₄	—	4	2	no	—
642	C₂×C₄	—	107	1	no	—
643	C₂×C₄	—	107	2	no	—
644	C₂×C₄	—	107	1	no	—
645	C₂×C₄	—	107	2	no	—
646	C₂×C₄	—	107	1	no	—
647	C₂×C₄	—	107	1	no	—
648	C₂×C₄	—	107	1	no	—
649	C₂×C₄	—	107	1	no	—
650	C₂×C₄	—	428	1	no	—
651	C₂×C₄	—	428	1	no	—
652	C₂×C₄	—	428	2	no	—
653	C₂×C₄	—	428	2	no	—
654	C₂×C₄	—	428	2	no	—
655	C₂×C₄	—	428	1	no	—
656	C₂×C₄	—	428	2	no	—
657	C₂×C₄	—	214	4	no	—
658	C₂×C₄	—	214	2	no	—
659	C₂×C₄	—	214	2	no	—
660	C₂×C₄	C₂³×D₁₀₇	1	1	yes	characteristic
661	C₂×C₄	C₂³×D₁₀₇	1	2	yes	—
662	C₂×C₄	C₂³×D₁₀₇	1	2	yes	—
663	C₂×C₄	C₂³×D₁₀₇	1	1	yes	characteristic
664	C₂×C₄	C₂³×D₁₀₇	1	1	yes	characteristic
665	C₂×C₄	C₂³×D₁₀₇	1	2	yes	—
666	C₂×C₄	C₂³×D₁₀₇	1	1	yes	characteristic
667	C₂²	—	2	1	no	—
668	C₂²	—	2	2	no	—
669	C₂²	—	2	1	no	—
670	C₂²	—	2	1	no	—
671	C₂²	—	2	1	no	—
672	C₂²	—	2	1	no	—
673	C₂²	—	2	1	no	—
674	C₂²	—	2	2	no	—
675	C₂²	—	2	2	no	—
676	C₂²	—	2	1	no	—
677	C₂²	—	2	1	no	—
678	C₂²	—	2	1	no	—
679	C₂²	—	856	4	no	—
680	C₂²	—	856	4	no	—
681	C₂²	—	107	2	no	—
682	C₂²	—	428	4	no	—
683	C₂²	—	214	2	no	—
684	C₂²	—	214	2	no	—
685	C₂²	—	214	1	no	—
686	C₂²	—	214	1	no	—
687	C₂²	—	214	2	no	—
688	C₂²	—	214	2	no	—
689	C₂²	—	214	2	no	—
690	C₂²	—	214	1	no	—
691	C₂²	—	214	2	no	—
692	C₂²	—	214	1	no	—
693	C₂²	—	214	1	no	—
694	C₂²	C₂⁴×D₁₀₇	1	1	yes	characteristic
695	C₄	—	2	2	no	—
696	C₄	—	2	2	no	—
697	C₄	—	2	1	no	—
698	C₄	—	2	1	no	—
699	C₄	—	2	1	no	—
700	C₄	—	2	2	no	—
701	C₄	—	214	1	no	—
702	C₄	—	214	1	no	—
703	C₄	—	214	2	no	—
704	C₄	—	214	1	no	—
705	C₄	—	214	1	no	—
706	C₄	—	214	1	no	—
707	C₄	—	214	2	no	—
708	C₄	—	214	1	no	—
709	C₄	#16812154	1	2	yes	—
710	C₂	—	4	1	no	—
711	C₂	—	4	2	no	—
712	C₂	—	4	1	no	—
713	C₂	—	4	1	no	—
714	C₂	—	428	2	no	—
715	C₂	—	428	2	no	—
716	C₂	—	428	1	no	—
717	C₂	—	214	2	no	—
718	C₂	H(5,𝔽₂)×D₁₀₇	1	1	yes	characteristic
719	C₂	C₂×#16812154	1	1	yes	characteristic
720	C₂	#20293464	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₀₇
commutator, socle, cosocle	C₂²×C₁₀₇	C₂⁵
Fitting	#537×C₁₀₇	C₂
hypercenter	#537	D₁₀₇
hypocenter	C₁₀₇	#3542
LCS	G ▷ C₂²×C₁₀₇ ▷ C₁₀₇
UCS	C₁ ◁ C₂² ◁ #537

Complements

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

N	H ≅ G/N	type
1. #20293373	C₂	semidirect
2. #20293365	C₂	semidirect
3. #20293341	C₂	semidirect
4. #20293325	C₂	semidirect
5. #20293311	C₂	semidirect
6. #20293304	C₂	semidirect
7. #20293296	C₂	semidirect
8. #20293278	C₂	semidirect
9. #20293274	C₂	semidirect
10. #20293268	C₂	semidirect
11. #20293265	C₂	semidirect
12. #20293261	C₂	semidirect
13. #20293250	C₂	semidirect
14. #20293230	C₂	semidirect
15. #20293227	C₂	semidirect
16. #20293209	C₂	semidirect
17. #20293193	C₂	semidirect
18. #20293191	C₂	semidirect
19. #20293185	C₂	semidirect
20. #20293140	C₂	semidirect
21. #20293134	C₂	semidirect
22. #121×D₁₀₇	C₂	semidirect
23. #537×C₁₀₇	C₂	semidirect
24. C₂×#13133819	C₂²	semidirect
25. C₂×#13133818	C₂²	semidirect
26. C₂²×D₄₂₈	C₂²	semidirect
29. C₂×D₄×D₁₀₇	C₂²	semidirect
30. C₂²×C₄×D₁₀₇	C₂²	semidirect
31. #16812108	C₂²	semidirect
32. #16812105	C₂²	semidirect
33. #16812105	C₂²	semidirect
34. #16812105	C₂²	semidirect
35. #16812104	C₂²	semidirect
36. #16812104	C₂²	semidirect
37. #16812102	C₂²	semidirect
38. #16812100	C₂²	semidirect
39. #16812099	C₂²	semidirect
40. #16812098	C₂²	semidirect
41. #16812098	C₂²	semidirect
42. #16812096	C₂²	semidirect
43. #16812095	C₂²	semidirect
44. #16812095	C₂²	semidirect
45. #16812094	C₂²	semidirect
46. #16812094	C₂²	semidirect
47. #16812094	C₂²	semidirect
48. #16812094	C₂²	semidirect
49. #16812093	C₂²	semidirect
50. #16812092	C₂²	semidirect
51. #16812092	C₂²	semidirect
53. #16812091	C₂²	semidirect
54. #16812091	C₂²	semidirect
55. #16812090	C₂²	semidirect
56. #16812090	C₂²	semidirect
57. #16812089	C₂²	semidirect
58. #16812087	C₂²	semidirect
59. #16812085	C₂²	semidirect
60. #16812085	C₂²	semidirect
61. #16812085	C₂²	semidirect
64. #16812084	C₂²	semidirect
66. #16812083	C₂²	semidirect
67. #16812083	C₂²	semidirect
68. #16812083	C₂²	semidirect
69. #16812083	C₂²	semidirect
70. #16812083	C₂²	semidirect
71. #16812082	C₂²	semidirect
72. #16812082	C₂²	semidirect
73. #16812081	C₂²	semidirect
74. #16812081	C₂²	semidirect
75. #16812081	C₂²	semidirect
76. #16812081	C₂²	semidirect
78. #16812080	C₂²	semidirect
79. #16812080	C₂²	semidirect
80. #16812080	C₂²	semidirect
81. #16812080	C₂²	semidirect
83. #16812079	C₂²	semidirect
84. #16812079	C₂²	semidirect
86. #16812077	C₂²	semidirect
87. #16812077	C₂²	semidirect
88. #16812077	C₂²	semidirect
89. #16812077	C₂²	semidirect
90. #16812077	C₂²	semidirect
91. Q₈×Dic₁₀₇	C₂²	semidirect
92. D₄×Dic₁₀₇	C₂²	semidirect
93. #16812071	C₂²	semidirect
94. #16812071	C₂²	semidirect
95. #16812071	C₂²	semidirect
97. C₄×C₂²⋊D₁₀₇	C₂²	semidirect
98. C₄×C₂²⋊D₁₀₇	C₂²	semidirect
99. C₄×C₂²⋊D₁₀₇	C₂²	semidirect
100. C₄×C₂²⋊D₁₀₇	C₂²	semidirect
101. C₄×C₂²⋊D₁₀₇	C₂²	semidirect
102. (C₂²⋊D₁₀₇)⋊C₄	C₂²	semidirect
103. #16812068	C₂²	semidirect
104. #16812068	C₂²	semidirect
105. #16812067	C₂²	semidirect
106. #16812067	C₂²	semidirect
107. #16812065	C₂²	semidirect
108. C₄⋊C₄×D₁₀₇	C₂²	semidirect
109. C₂×(C₂×D₁₀₇)⋊C₄	C₂²	semidirect
110. C₂²⋊C₄×D₁₀₇	C₂²	semidirect
111. C₂²⋊C₄×D₁₀₇	C₂²	semidirect
112. C₂×#41×C₁₀₇	C₂²	semidirect
113. C₂×#41×C₁₀₇	C₂²	semidirect
114. C₂²⋊Q₈×C₁₀₇	C₂²	semidirect
115. C₂²⋊Q₈×C₁₀₇	C₂²	semidirect
116. C₂²⋊Q₈×C₁₀₇	C₂²	semidirect
117. #121×C₁₀₇	C₂²	semidirect
118. #121×C₁₀₇	C₂²	semidirect
119. #121×C₁₀₇	C₂²	semidirect
120. #121×C₁₀₇	C₂²	semidirect
121. #121×C₁₀₇	C₂²	semidirect
122. C₂×C₄⋊C₄×C₁₀₇	C₂²	semidirect
361. C₁₀₇	#3542	semidirect
378. #537	D₁₀₇	semidirect
387. C₂×#41	C₂×D₁₀₇	semidirect
388. C₂×#41	C₂×D₁₀₇	semidirect
425. C₂²⋊Q₈	C₂×D₁₀₇	semidirect
426. C₂²⋊Q₈	C₂×D₁₀₇	semidirect
427. C₂²⋊Q₈	C₂×D₁₀₇	semidirect
448. #121	C₂×D₁₀₇	semidirect
449. #121	C₂×D₁₀₇	semidirect
450. #121	C₂×D₁₀₇	semidirect
451. #121	C₂×D₁₀₇	semidirect
452. #121	C₂×D₁₀₇	semidirect
480. C₂×C₄⋊C₄	C₂×D₁₀₇	semidirect

Maximal subgroups

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

subgroup	index
#20293373	2
#20293365	2
#20293341	2
#20293325	2
#20293311	2
#20293304	2
#20293296	2
#20293278	2
#20293274	2
#20293268	2
#20293265	2
#20293261	2
#20293250	2
#20293230	2
#20293227	2
#20293209	2
#20293193	2
#20293191	2
#20293185	2
#20293140	2
#20293134	2
#121×D₁₀₇	2
#537×C₁₀₇	2
#3542	107