Subgroups — #72303563

Order 2048.

At least 14935 conjugacy classes of subgroups; only the 2620 normal subgroups are shown.

The subgroup lattice has 1275 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72281184	C₂	1	1	yes	maximal, characteristic, complemented
2	#72280992	C₂	1	2	yes	maximal, complemented
3	#72280780	C₂	1	1	yes	maximal, characteristic, complemented
4	#72280506	C₂	1	2	yes	maximal, complemented
5	#72279693	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#41×#120	C₂	1	1	yes	maximal, characteristic
7	#72268044	C₂	1	2	yes	maximal, complemented
8	#72268041	C₂	1	2	yes	maximal, complemented
9	#72267442	C₂	1	8	yes	maximal, complemented
10	#72267299	C₂	1	8	yes	maximal, complemented
11	#72239778	C₂	1	1	yes	maximal, characteristic, complemented
12	#72238114	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#193892	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂⁵×#41	C₂²	1	1	yes	characteristic
15	C₂²×D₄×#41	C₂²	1	1	yes	characteristic
16	C₂×#60230	C₂²	1	1	yes	characteristic, complemented
17	C₂×#36614	C₂²	1	1	yes	characteristic
18	#41×#120	C₄	1	4	yes	complemented
19	#41×#120	C₄	1	4	yes	complemented
20	#41×#120	C₂²	1	4	yes	—
21	#41×#120	C₂²	1	4	yes	—
22	C₂×#36575	C₄	1	1	yes	characteristic, complemented
23	C₂×Q₈×#120	C₄	1	1	yes	characteristic, complemented
24	C₂×#36429	C₄	1	1	yes	characteristic, complemented
25	C₂×#36428	C₄	1	1	yes	characteristic, complemented
26	C₂×#36213	C₄	1	1	yes	characteristic, complemented
27	C₂×#36212	C₄	1	1	yes	characteristic, complemented
28	C₂×#36152	C₄	1	1	yes	characteristic, complemented
29	C₂×D₄×#120	C₄	1	1	yes	characteristic, complemented
30	C₂×#34738	C₂²	1	1	yes	characteristic
31	C₂×#34736	C₂²	1	1	yes	characteristic
32	#7625417	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₂²⋊C₄×#41	C₂²	1	1	yes	characteristic
34	C₂²×C₄×#120	C₂²	1	1	yes	characteristic
35	#6386071	C₂²	1	4	yes	complemented
36	#6386070	C₂²	1	4	yes	complemented
37	#6374227	C₂²	1	2	yes	complemented
38	C₂×#20722	C₂²	1	1	yes	characteristic, complemented
39	C₂×#20605	C₂²	1	2	yes	—
40	C₂×#20605	C₂²	1	2	yes	—
41	C₂×#20605	C₂²	1	2	yes	complemented
42	C₂×#20605	C₂²	1	2	yes	complemented
43	C₂×#20579	C₂²	1	2	yes	complemented
44	#6343373	C₂²	1	2	yes	complemented
45	C₂×#17362	C₂²	1	1	yes	characteristic, complemented
46	#607558	C₂²	1	2	yes	complemented
47	#392123	C₂²	1	16	yes	complemented
48	#358153	C₂²	1	4	yes	complemented
49	C₄×#1889	C₂²	1	4	yes	complemented
50	#353824	C₂²	1	2	yes	complemented
51	#201455	C₂²	1	4	yes	complemented
52	#201446	C₂²	1	4	yes	complemented
53	#194662	C₂²	1	4	yes	complemented
54	#194662	C₂²	1	4	yes	complemented
55	#193892	C₂²	1	4	yes	complemented
56	#193892	C₂²	1	4	yes	complemented
57	#185457	C₂²	1	4	yes	complemented
58	#185457	C₂²	1	4	yes	complemented
59	#181776	C₂²	1	2	yes	complemented
60	#181125	C₂²	1	2	yes	complemented
61	C₂×#7929	C₂²	1	2	yes	complemented
62	#113924	C₂²	1	16	yes	complemented
63	#111633	C₂²	1	16	yes	complemented
64	#106972	C₂²	1	16	yes	complemented
65	C₂⁴×#41	C₂×C₄	1	1	yes	characteristic, complemented
66	C₂⁴×#41	C₂×C₄	1	1	yes	characteristic, complemented
67	C₂⁴×#41	C₂×C₄	1	4	yes	complemented
68	C₂⁴×#41	D₄	1	1	yes	characteristic
69	C₂⁴×#41	C₂³	1	4	yes	—
70	C₂⁴×#41	C₂³	1	1	yes	characteristic
71	C₂⁴×#41	C₂³	1	1	yes	characteristic
72	C₂⁵×Q₈	C₂×C₄	1	1	yes	characteristic, complemented
73	C₂⁵×D₄	C₂×C₄	1	1	yes	characteristic, complemented
74	C₂⁶×C₄	C₂³	1	1	yes	characteristic
75	C₂×D₄×#41	C₂×C₄	1	2	yes	—
76	C₂×D₄×#41	C₂×C₄	1	2	yes	—
77	C₂×D₄×#41	D₄	1	2	yes	—
78	C₂×D₄×#41	D₄	1	2	yes	—
79	C₂×D₄×#41	D₄	1	2	yes	—
80	C₂×D₄×#41	D₄	1	2	yes	—
81	C₂×D₄×#41	C₂³	1	2	yes	—
82	C₂×D₄×#41	C₂³	1	2	yes	—
83	C₂²×#550	D₄	1	1	yes	characteristic
84	C₂²×#547	D₄	1	1	yes	characteristic
85	C₂²×#548	C₂×C₄	1	1	yes	characteristic
86	C₂²×#548	D₄	1	1	yes	characteristic
87	C₂²×#546	C₂×C₄	1	1	yes	characteristic
88	C₂²×#546	D₄	1	1	yes	characteristic
89	C₂²×D₄×Q₈	C₂×C₄	1	1	yes	characteristic
90	C₂²×D₄²	C₂×C₄	1	1	yes	characteristic
91	C₂²×#532	D₄	1	1	yes	characteristic
92	C₂²×#525	D₄	1	1	yes	characteristic
93	C₂²×#525	C₂³	1	1	yes	characteristic
94	C₂³×#120	D₄	1	1	yes	characteristic
95	C₂²×C₄×#41	D₄	1	1	yes	characteristic
96	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
97	#60230	C₂³	1	2	yes	complemented
98	#60230	C₂³	1	2	yes	complemented
99	C₂²×#421	D₄	1	8	yes	complemented
100	C₂²×#407	C₂³	1	2	yes	—
101	C₂²×#407	C₂³	1	2	yes	—
102	#36614	C₂×C₄	1	4	yes	complemented
103	#36614	C₂³	1	4	yes	—
104	C₂×#2848	C₂×C₄	1	1	yes	characteristic, complemented
105	C₂×#2848	C₂×C₄	1	1	yes	characteristic, complemented
106	C₂×#2847	C₂×C₄	1	1	yes	characteristic, complemented
107	C₂×#2847	C₂×C₄	1	1	yes	characteristic, complemented
108	#36575	C₂×C₄	1	4	yes	—
109	#36575	C₂×C₄	1	4	yes	complemented
110	Q₈×#120	C₂×C₄	1	4	yes	—
111	Q₈×#120	C₂×C₄	1	4	yes	complemented
112	#36429	C₂×C₄	1	4	yes	—
113	#36429	C₂×C₄	1	4	yes	complemented
114	#36428	C₂×C₄	1	4	yes	—
115	#36428	C₂×C₄	1	4	yes	complemented
116	#36213	C₂×C₄	1	4	yes	—
117	#36213	C₂×C₄	1	4	yes	complemented
118	#36212	C₂×C₄	1	4	yes	—
119	#36212	C₂×C₄	1	4	yes	complemented
120	#36152	C₂×C₄	1	4	yes	—
121	#36152	C₂×C₄	1	4	yes	complemented
122	D₄×#120	C₂×C₄	1	4	yes	—
123	D₄×#120	C₂×C₄	1	4	yes	complemented
124	#34738	C₂×C₄	1	4	yes	complemented
125	#34738	C₂³	1	4	yes	—
126	#34736	C₂×C₄	1	2	yes	—
127	#34736	C₂×C₄	1	2	yes	—
128	#34736	D₄	1	2	yes	—
129	#34736	D₄	1	2	yes	—
130	#34736	D₄	1	2	yes	—
131	#34736	D₄	1	2	yes	—
132	#34736	C₂³	1	2	yes	—
133	#34736	C₂³	1	2	yes	—
134	C₂×#2406	D₄	1	2	yes	—
135	C₂×#2404	D₄	1	2	yes	—
136	C₂×#2436	C₂×C₄	1	1	yes	characteristic, complemented
137	C₂×#2435	C₂×C₄	1	1	yes	characteristic, complemented
138	C₂×#2434	C₂×C₄	1	1	yes	characteristic, complemented
139	C₂×#2409	C₂×C₄	1	1	yes	characteristic
140	C₂×#2409	C₂×C₄	1	1	yes	characteristic
141	C₂×#2433	C₂×C₄	1	1	yes	characteristic, complemented
142	C₂×#2408	C₂×C₄	1	1	yes	characteristic
143	C₂×#2408	C₂×C₄	1	1	yes	characteristic
144	C₂×#2388	D₄	1	2	yes	—
145	C₂×#2388	D₄	1	2	yes	—
146	C₂²⋊C₄×#41	C₂×C₄	1	4	yes	complemented
147	C₂²⋊C₄×#41	C₂³	1	4	yes	—
148	C₂×Q₈×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
149	C₂×Q₈×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
150	C₂×D₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
151	C₂×D₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
152	#34057	C₂³	1	2	yes	complemented
153	C₂×C₄×#120	C₂×C₄	1	1	yes	characteristic
154	C₂×C₄×#120	C₂×C₄	1	1	yes	characteristic
155	C₂×C₄×#120	C₂×C₄	1	1	yes	characteristic
156	C₂×C₄×#120	C₂×C₄	1	1	yes	characteristic
157	C₂×C₄×#120	C₂×C₄	1	2	yes	—
158	C₂×C₄×#120	C₂×C₄	1	2	yes	—
159	C₂×C₄×#120	D₄	1	1	yes	characteristic
160	C₂×C₄×#120	D₄	1	2	yes	—
161	C₂×C₄×#120	D₄	1	2	yes	—
162	C₂×C₄×#120	D₄	1	1	yes	characteristic
163	C₂×C₄×#120	D₄	1	1	yes	characteristic
164	C₂×C₄×#120	D₄	1	1	yes	characteristic
165	C₂×C₄×#120	D₄	1	2	yes	—
166	C₂×C₄×#120	D₄	1	2	yes	—
167	C₂×C₄×#120	C₂³	1	2	yes	—
168	C₂×C₄×#120	C₂³	1	2	yes	—
169	C₂²×#386	D₄	1	1	yes	characteristic
170	C₂²×#385	D₄	1	1	yes	characteristic
171	C₂×#2280	C₂³	1	1	yes	characteristic
172	C₂×#2280	C₂³	1	2	yes	—
173	C₂×#2280	C₂³	1	2	yes	—
174	C₂²×#379	D₄	1	1	yes	characteristic
175	C₄×#518	C₂³	1	2	yes	complemented
176	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	#21773	C₂³	1	8	yes	complemented
178	C₂×#1789	D₄	1	8	yes	complemented
179	C₂×#1789	C₂³	1	8	yes	—
180	C₂×#1789	C₂³	1	8	yes	—
181	C₂×#1789	C₂³	1	8	yes	complemented
182	C₂×#1789	C₂³	1	8	yes	complemented
183	#20579	C₂³	1	8	yes	complemented
184	C₂×C₄×#99	C₂³	1	2	yes	complemented
185	C₂×C₄×#99	C₂³	1	2	yes	complemented
186	#17542	C₂³	1	8	yes	complemented
187	#17362	C₂³	1	2	yes	complemented
188	#17362	C₂³	1	2	yes	complemented
189	C₄×#379	C₂³	1	8	yes	complemented
190	C₄×#342	C₂³	1	8	yes	complemented
191	#8051	C₂³	1	8	yes	complemented
192	#7942	C₂³	1	8	yes	complemented
193	#7929	C₂³	1	8	yes	complemented
194	C₂⁷	C₂×D₄	1	1	yes	characteristic
195	C₂³×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
196	C₂³×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
197	C₂³×#41	C₂²⋊C₄	1	2	yes	complemented
198	C₂³×#41	C₂²⋊C₄	1	2	yes	complemented
199	C₂³×#41	C₂²×C₄	1	2	yes	—
200	C₂³×#41	C₂²×C₄	1	4	yes	—
201	C₂³×#41	C₂²×C₄	1	4	yes	—
202	C₂³×#41	C₂²×C₄	1	2	yes	—
203	C₂³×#41	C₂×D₄	1	1	yes	characteristic
204	C₂³×#41	C₂×D₄	1	2	yes	—
205	C₂³×#41	C₂×D₄	1	2	yes	—
206	C₂³×#41	C₂×D₄	1	2	yes	—
207	C₂³×#41	C₂×D₄	1	2	yes	—
208	C₂³×#41	C₂×D₄	1	1	yes	characteristic
209	C₂³×#41	C₂×D₄	1	2	yes	—
210	C₂³×#41	C₂×D₄	1	2	yes	—
211	C₂³×#41	C₂×D₄	1	2	yes	—
212	C₂³×#41	C₂×D₄	1	1	yes	characteristic
213	C₂³×#41	C₂×D₄	1	1	yes	characteristic
214	C₂³×#41	C₂×D₄	1	1	yes	characteristic
215	C₂³×#41	C₂×D₄	1	2	yes	—
216	C₂³×#41	C₂×D₄	1	4	yes	—
217	C₂³×#41	C₂×D₄	1	4	yes	—
218	C₂³×#41	#41	1	4	yes	—
219	C₂³×#41	#41	1	4	yes	—
220	C₂³×#41	C₂⁴	1	2	yes	—
221	C₂³×#41	C₂⁴	1	2	yes	—
222	C₂⁴×Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
223	C₂⁴×Q₈	C₂²×C₄	1	1	yes	characteristic
224	C₂⁴×Q₈	C₂²×C₄	1	4	yes	—
225	C₂⁴×Q₈	C₂²×C₄	1	1	yes	characteristic
226	C₂⁴×D₄	C₂²⋊C₄	1	1	yes	characteristic, complemented
227	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
228	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
229	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
230	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
231	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic
232	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic
233	C₂⁵×C₄	C₂²×C₄	1	2	yes	—
234	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
235	C₂⁵×C₄	C₂×D₄	1	2	yes	—
236	C₂⁵×C₄	C₂×D₄	1	2	yes	—
237	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
238	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
239	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
240	C₂⁵×C₄	C₂⁴	1	2	yes	—
241	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
242	C₂³×M₁₆	C₂×D₄	1	4	yes	complemented
243	C₂×#550	C₂²⋊C₄	1	2	yes	complemented
244	C₂×#550	C₂²⋊C₄	1	2	yes	complemented
245	C₂×#550	C₂×D₄	1	2	yes	—
246	C₂×#550	C₂×D₄	1	2	yes	—
247	C₂×D₄×Q₈	C₂²⋊C₄	1	2	yes	complemented
248	C₂×D₄×Q₈	C₂²⋊C₄	1	2	yes	complemented
249	C₂×D₄×Q₈	C₂²×C₄	1	2	yes	—
250	C₂×D₄×Q₈	C₂²×C₄	1	2	yes	—
251	C₂×#548	C₂²⋊C₄	1	2	yes	complemented
252	C₂×#548	C₂²⋊C₄	1	2	yes	complemented
253	C₂×#548	C₂²⋊C₄	1	2	yes	complemented
254	C₂×#548	C₂²⋊C₄	1	2	yes	complemented
255	C₂×#548	C₂²×C₄	1	2	yes	—
256	C₂×#548	C₂²×C₄	1	2	yes	—
257	C₂×#548	C₂×D₄	1	2	yes	—
258	C₂×#548	C₂×D₄	1	2	yes	—
259	C₂×#547	C₂²⋊C₄	1	2	yes	complemented
260	C₂×#547	C₂²⋊C₄	1	2	yes	complemented
261	C₂×#547	C₂×D₄	1	2	yes	—
262	C₂×#547	C₂×D₄	1	2	yes	—
263	C₂×#546	C₂²⋊C₄	1	2	yes	complemented
264	C₂×#546	C₂²⋊C₄	1	2	yes	complemented
265	C₂×#546	C₂²⋊C₄	1	2	yes	complemented
266	C₂×#546	C₂²⋊C₄	1	2	yes	complemented
267	C₂×#546	C₂²×C₄	1	2	yes	—
268	C₂×#546	C₂²×C₄	1	2	yes	—
269	C₂×#546	C₂×D₄	1	2	yes	—
270	C₂×#546	C₂×D₄	1	2	yes	—
271	C₂×D₄²	C₂²⋊C₄	1	2	yes	complemented
272	C₂×D₄²	C₂²⋊C₄	1	2	yes	complemented
273	C₂×D₄²	C₂²×C₄	1	2	yes	—
274	C₂×D₄²	C₂²×C₄	1	2	yes	—
275	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
276	C₂×#532	C₂²⋊C₄	1	2	yes	complemented
277	C₂×#532	C₂×D₄	1	2	yes	—
278	C₂×#532	C₂×D₄	1	2	yes	—
279	C₂²×C₄⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
280	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic, complemented
281	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
282	C₂²×#124	C₂²⋊C₄	1	1	yes	characteristic, complemented
283	C₂×#525	C₂²⋊C₄	1	2	yes	complemented
284	C₂×#525	C₂²⋊C₄	1	2	yes	complemented
285	C₂×#525	C₂²×C₄	1	2	yes	—
286	C₂×#525	C₂×D₄	1	2	yes	—
287	C₂×#525	C₂×D₄	1	2	yes	—
288	C₂×#525	C₂×D₄	1	2	yes	—
289	C₂×#525	C₂×D₄	1	2	yes	—
290	C₂×#525	C₂⁴	1	2	yes	—
291	C₂²×C₂²⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
292	C₂²×C₂²⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
293	C₂²×C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
294	C₂²×C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
295	C₂²×#121	C₂²⋊C₄	1	1	yes	characteristic, complemented
296	C₂²×#121	C₂²⋊C₄	1	1	yes	characteristic, complemented
297	C₂²×#121	C₂²×C₄	1	1	yes	characteristic
298	C₂²×#121	C₂×D₄	1	1	yes	characteristic
299	C₂²×#120	C₂²⋊C₄	1	1	yes	characteristic
300	C₂²×#120	C₂²⋊C₄	1	2	yes	—
301	C₂²×#120	C₂²⋊C₄	1	1	yes	characteristic
302	C₂²×#120	C₂²⋊C₄	1	1	yes	characteristic
303	C₂²×#120	C₂²⋊C₄	1	1	yes	characteristic
304	C₂²×#120	C₂²⋊C₄	1	2	yes	—
305	C₂²×#120	C₂×D₄	1	2	yes	—
306	C₂²×#120	C₂×D₄	1	2	yes	—
307	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
308	C₂×C₄×#41	C₂²⋊C₄	1	2	yes	complemented
309	C₂×C₄×#41	C₂×D₄	1	2	yes	—
310	C₂×C₄×#41	C₂×D₄	1	2	yes	—
311	C₂²×C₄×Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
312	C₂²×C₄×Q₈	C₂²⋊C₄	1	1	yes	characteristic, complemented
313	C₂²×C₄×D₄	C₂²⋊C₄	1	1	yes	characteristic, complemented
314	C₂²×C₄×D₄	C₂²⋊C₄	1	1	yes	characteristic, complemented
315	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
316	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
317	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
318	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
319	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
323	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
324	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
328	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
329	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
331	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
339	C₂²×#117	C₂×D₄	1	1	yes	characteristic
340	C₂²×#117	C₂×D₄	1	4	yes	complemented
341	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
342	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
343	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
344	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
345	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
346	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
347	C₂²×#104	C₂×D₄	1	32	yes	complemented
348	C₂×#407	C₂×D₄	1	4	yes	complemented
349	C₂×#407	C₂⁴	1	4	yes	—
350	C₂×#407	C₂⁴	1	4	yes	—
351	#2848	C₂²×C₄	1	4	yes	—
352	#2848	C₂²×C₄	1	4	yes	—
353	#2847	C₂²×C₄	1	4	yes	—
354	#2847	C₂²×C₄	1	4	yes	—
355	#2436	C₂²×C₄	1	4	yes	—
356	#2435	C₂²×C₄	1	4	yes	—
357	#2434	C₂²×C₄	1	4	yes	—
358	#2433	C₂²×C₄	1	4	yes	—
359	#2409	C₂²⋊C₄	1	2	yes	complemented
360	#2409	C₂²⋊C₄	1	2	yes	complemented
361	#2409	C₂²⋊C₄	1	2	yes	complemented
362	#2409	C₂²⋊C₄	1	2	yes	complemented
363	#2409	C₂²×C₄	1	2	yes	—
364	#2409	C₂²×C₄	1	2	yes	—
365	#2409	C₂²×C₄	1	2	yes	—
366	#2409	C₂²×C₄	1	2	yes	—
367	#2408	C₂²⋊C₄	1	2	yes	complemented
368	#2408	C₂²⋊C₄	1	2	yes	complemented
369	#2408	C₂²⋊C₄	1	2	yes	complemented
370	#2408	C₂²⋊C₄	1	2	yes	complemented
371	#2408	C₂²×C₄	1	2	yes	—
372	#2408	C₂²×C₄	1	2	yes	—
373	#2408	C₂²×C₄	1	2	yes	—
374	#2408	C₂²×C₄	1	2	yes	—
375	#2406	C₂²⋊C₄	1	4	yes	complemented
376	#2406	C₂²⋊C₄	1	4	yes	complemented
377	#2406	C₂×D₄	1	4	yes	—
378	#2406	C₂×D₄	1	4	yes	—
379	#2404	C₂²⋊C₄	1	4	yes	complemented
380	#2404	C₂²⋊C₄	1	4	yes	complemented
381	#2404	C₂×D₄	1	4	yes	—
382	#2404	C₂×D₄	1	4	yes	—
383	#2388	C₂²⋊C₄	1	4	yes	complemented
384	#2388	C₂²⋊C₄	1	4	yes	complemented
385	#2388	C₂²⋊C₄	1	4	yes	complemented
386	#2388	C₂²⋊C₄	1	4	yes	complemented
387	#2388	C₂×D₄	1	4	yes	—
388	#2388	C₂×D₄	1	4	yes	—
389	#2388	C₂×D₄	1	4	yes	—
390	#2388	C₂×D₄	1	4	yes	—
391	C₂×#395	C₂²⋊C₄	1	2	yes	complemented
392	C₂×#395	C₂²⋊C₄	1	2	yes	complemented
393	C₂×#394	C₂²⋊C₄	1	2	yes	complemented
394	C₂×#394	C₂²⋊C₄	1	2	yes	complemented
395	C₂×#393	C₂²⋊C₄	1	2	yes	complemented
396	C₂×#393	C₂²⋊C₄	1	2	yes	complemented
397	C₂×#392	C₂²⋊C₄	1	2	yes	complemented
398	C₂×#392	C₂²⋊C₄	1	2	yes	complemented
399	Q₈×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
400	Q₈×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
401	D₄×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
402	D₄×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
403	C₄×#120	C₂²⋊C₄	1	2	yes	—
404	C₄×#120	C₂²⋊C₄	1	2	yes	—
405	C₄×#120	C₂²⋊C₄	1	2	yes	—
406	C₄×#120	C₂²⋊C₄	1	2	yes	—
407	C₄×#120	C₂²⋊C₄	1	2	yes	—
408	C₄×#120	C₂²⋊C₄	1	2	yes	—
409	C₄×#120	C₂²⋊C₄	1	2	yes	—
410	C₄×#120	C₂²⋊C₄	1	2	yes	—
411	C₄×#120	C₂²⋊C₄	1	2	yes	—
412	C₄×#120	C₂²⋊C₄	1	2	yes	—
413	C₄×#120	C₂²⋊C₄	1	2	yes	—
414	C₄×#120	C₂²⋊C₄	1	2	yes	—
415	C₄×#120	C₂²⋊C₄	1	2	yes	—
416	C₄×#120	C₂²⋊C₄	1	2	yes	—
417	C₄×#120	C₂²⋊C₄	1	2	yes	—
418	C₄×#120	C₂²⋊C₄	1	2	yes	—
419	C₄×#120	C₂²×C₄	1	2	yes	—
420	C₄×#120	C₂²×C₄	1	2	yes	—
421	C₄×#120	C₂²×C₄	1	2	yes	—
422	C₄×#120	C₂²×C₄	1	2	yes	—
423	C₄×#120	C₂²×C₄	1	2	yes	—
424	C₄×#120	C₂²×C₄	1	2	yes	—
425	C₄×#120	C₂²×C₄	1	2	yes	—
426	C₄×#120	C₂²×C₄	1	2	yes	—
427	C₄×#120	C₂×D₄	1	2	yes	—
428	C₄×#120	C₂×D₄	1	2	yes	—
429	C₄×#120	C₂×D₄	1	2	yes	—
430	C₄×#120	C₂×D₄	1	2	yes	—
431	C₄×#120	C₂×D₄	1	2	yes	—
432	C₄×#120	C₂×D₄	1	2	yes	—
433	C₄×#120	C₂×D₄	1	2	yes	—
434	C₄×#120	C₂×D₄	1	2	yes	—
435	C₂×#386	C₂²⋊C₄	1	1	yes	characteristic
436	C₂×#386	C₂²⋊C₄	1	1	yes	characteristic
437	C₂×#386	C₂²⋊C₄	1	1	yes	characteristic
438	C₂×#386	C₂²⋊C₄	1	2	yes	—
439	C₂×#386	C₂²⋊C₄	1	2	yes	—
440	C₂×#386	C₂²⋊C₄	1	1	yes	characteristic
441	C₂×#386	C₂×D₄	1	2	yes	—
442	C₂×#386	C₂×D₄	1	2	yes	—
443	C₂×#385	C₂²⋊C₄	1	1	yes	characteristic
444	C₂×#385	C₂²⋊C₄	1	1	yes	characteristic
445	C₂×#385	C₂²⋊C₄	1	1	yes	characteristic
446	C₂×#385	C₂²⋊C₄	1	2	yes	—
447	C₂×#385	C₂²⋊C₄	1	2	yes	—
448	C₂×#385	C₂²⋊C₄	1	1	yes	characteristic
449	C₂×#385	C₂×D₄	1	2	yes	—
450	C₂×#385	C₂×D₄	1	2	yes	—
451	#2280	C₂²×C₄	1	2	yes	—
452	#2280	C₂×D₄	1	2	yes	—
453	#2280	C₂×D₄	1	2	yes	—
454	#2280	C₂⁴	1	2	yes	—
455	C₂×#381	C₂×D₄	1	2	yes	—
456	C₂×#380	C₂²×C₄	1	1	yes	characteristic
457	C₂×#380	C₂²×C₄	1	1	yes	characteristic
458	C₂×#379	C₂²⋊C₄	1	1	yes	characteristic
459	C₂×#379	C₂²⋊C₄	1	2	yes	—
460	C₂×#379	C₂²⋊C₄	1	2	yes	—
461	C₂×#379	C₂²⋊C₄	1	1	yes	characteristic
462	C₂×#379	C₂²⋊C₄	1	1	yes	characteristic
463	C₂×#379	C₂²⋊C₄	1	1	yes	characteristic
464	C₂×#379	C₂×D₄	1	2	yes	—
465	C₂×#379	C₂×D₄	1	2	yes	—
466	C₂×C₄×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₄×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₄×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
469	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
470	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
472	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
473	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
475	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
476	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
477	C₂×C₄×C₂²⋊C₄	C₂⁴	1	2	yes	—
478	C₂⁶	C₂×C₂²⋊C₄	1	1	yes	characteristic
479	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
480	C₂⁶	C₂×C₂²⋊C₄	1	1	yes	characteristic
481	C₂⁶	#120	1	1	yes	characteristic
482	C₂⁶	C₂²×D₄	1	2	yes	—
483	C₂⁶	C₂²×D₄	1	1	yes	characteristic
484	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
485	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
486	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
487	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
488	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
489	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
490	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
491	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
492	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
493	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
494	C₂²×#41	C₂×C₂²⋊C₄	1	2	yes	—
495	C₂²×#41	C₄×D₄	1	8	yes	—
496	C₂²×#41	C₄×D₄	1	8	yes	—
497	C₂²×#41	#120	1	2	yes	—
498	C₂²×#41	#120	1	2	yes	—
499	C₂²×#41	#120	1	8	yes	—
500	C₂²×#41	#120	1	2	yes	—
501	C₂²×#41	#120	1	2	yes	—
502	C₂²×#41	#121	1	4	yes	—
503	C₂²×#41	#121	1	4	yes	—
504	C₂²×#41	#121	1	8	yes	—
505	C₂²×#41	#121	1	4	yes	—
506	C₂²×#41	#121	1	4	yes	—
507	C₂²×#41	#121	1	8	yes	—
508	C₂²×#41	#123	1	2	yes	—
509	C₂²×#41	#123	1	2	yes	—
510	C₂²×#41	#123	1	2	yes	—
511	C₂²×#41	#123	1	2	yes	—
512	C₂²×#41	#123	1	8	yes	—
513	C₂²×#41	C₂²×D₄	1	2	yes	—
514	C₂²×#41	C₂²×D₄	1	4	yes	—
515	C₂²×#41	C₂²×D₄	1	4	yes	—
516	C₂²×#41	C₂²×D₄	1	2	yes	—
517	C₂²×#41	C₂²×D₄	1	2	yes	—
518	C₂²×#41	C₂²×D₄	1	2	yes	—
519	C₂²×#41	C₂²×D₄	1	2	yes	—
520	C₂²×#41	C₂²×D₄	1	8	yes	—
521	C₂²×#41	C₂×#41	1	8	yes	—
522	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
523	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
524	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
525	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
526	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
527	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
528	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
529	C₂³×Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
530	C₂³×Q₈	C₄×D₄	1	4	yes	—
531	C₂³×Q₈	C₄×D₄	1	4	yes	—
532	C₂³×Q₈	C₂³×C₄	1	2	yes	—
533	C₂³×Q₈	C₂³×C₄	1	2	yes	—
534	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
535	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
536	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
537	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
538	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
539	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
540	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
541	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
542	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
543	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
544	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
545	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
546	C₂³×D₄	C₄×D₄	1	4	yes	—
547	C₂³×D₄	C₄×D₄	1	4	yes	—
548	C₂³×D₄	#120	1	1	yes	characteristic
549	C₂³×D₄	#120	1	1	yes	characteristic
550	C₂³×D₄	#120	1	1	yes	characteristic
551	C₂³×D₄	#120	1	1	yes	characteristic
552	C₂³×D₄	#120	1	1	yes	characteristic
553	C₂³×D₄	#120	1	1	yes	characteristic
554	C₂³×D₄	C₂³×C₄	1	2	yes	—
555	C₂³×D₄	C₂³×C₄	1	2	yes	—
556	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
557	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
558	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
559	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
560	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
561	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
562	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
563	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
564	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
565	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
566	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
567	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
568	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
569	C₂⁴×C₄	#120	1	1	yes	characteristic
570	C₂⁴×C₄	#120	1	1	yes	characteristic
571	C₂⁴×C₄	#120	1	1	yes	characteristic
572	C₂⁴×C₄	#120	1	1	yes	characteristic
573	C₂⁴×C₄	#120	1	1	yes	characteristic
574	C₂⁴×C₄	#120	1	1	yes	characteristic
575	C₂⁴×C₄	#120	1	1	yes	characteristic
576	C₂⁴×C₄	#120	1	1	yes	characteristic
577	C₂⁴×C₄	#120	1	1	yes	characteristic
578	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
579	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
580	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
581	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
582	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
583	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
584	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
585	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
586	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
587	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
588	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
589	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
590	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
591	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
592	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
593	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
594	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
595	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
596	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
597	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
598	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
599	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
600	C₂⁴×C₄	C₂×#41	1	2	yes	—
601	C₂⁴×C₄	C₂×#41	1	2	yes	—
602	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
603	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
604	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
605	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
606	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
607	C₂²×M₁₆	C₂²×D₄	1	8	yes	complemented
608	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
609	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
610	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
611	C₂×#127	C₂×C₂²⋊C₄	1	2	yes	—
612	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
613	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
614	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
615	C₂×#124	C₂×C₂²⋊C₄	1	2	yes	—
616	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
617	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
618	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
619	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
620	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
621	C₂×C₂²⋊Q₈	C₂×C₂²⋊C₄	1	2	yes	—
622	C₂×C₂²⋊Q₈	C₂³×C₄	1	2	yes	—
623	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
624	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
625	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
626	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
627	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
628	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
629	C₂×#121	C₂×C₂²⋊C₄	1	2	yes	—
630	C₂×#121	C₂³×C₄	1	2	yes	—
631	C₂×#121	C₂²×D₄	1	2	yes	—
632	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
633	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
634	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
635	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
636	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
637	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
638	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
639	C₂×#120	C₂×C₂²⋊C₄	1	2	yes	—
640	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
641	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
642	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
643	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
644	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
645	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
646	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
647	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	2	yes	—
648	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
649	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
650	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
651	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
652	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
653	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
654	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
655	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
656	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
657	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
658	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
659	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
660	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
661	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
662	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
663	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
664	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
665	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
666	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
667	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
668	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
669	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
670	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
671	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
672	C₂×C₄×D₄	#120	1	1	yes	characteristic
673	C₂×C₄×D₄	#120	1	1	yes	characteristic
674	C₂×C₄×D₄	#120	1	1	yes	characteristic
675	C₂×C₄×D₄	#120	1	1	yes	characteristic
676	C₂×C₄×D₄	#120	1	1	yes	characteristic
677	C₂×C₄×D₄	#120	1	1	yes	characteristic
678	C₂×C₄×D₄	#120	1	1	yes	characteristic
679	C₂×C₄×D₄	#120	1	1	yes	characteristic
680	C₂×C₄×D₄	#120	1	1	yes	characteristic
681	C₂×C₄×D₄	#120	1	1	yes	characteristic
682	C₂×C₄×D₄	#120	1	1	yes	characteristic
683	C₂×C₄×D₄	#120	1	1	yes	characteristic
684	C₂×C₄×D₄	#120	1	1	yes	characteristic
685	C₂×C₄×D₄	#120	1	1	yes	characteristic
686	C₂×C₄×D₄	#120	1	1	yes	characteristic
687	C₂×C₄×D₄	#120	1	1	yes	characteristic
688	C₂×C₄×D₄	#120	1	1	yes	characteristic
689	C₂×C₄×D₄	#120	1	1	yes	characteristic
690	C₂×C₄×D₄	#120	1	1	yes	characteristic
691	C₂×C₄×D₄	#120	1	1	yes	characteristic
692	C₂×C₄×D₄	#120	1	1	yes	characteristic
693	C₂×C₄×D₄	#120	1	1	yes	characteristic
694	C₂×C₄×D₄	#120	1	1	yes	characteristic
695	C₂×C₄×D₄	#120	1	1	yes	characteristic
696	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
697	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
698	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
699	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
700	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
701	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
702	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
703	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
704	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
705	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
706	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
707	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
708	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
709	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
710	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
711	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
712	C₂×#117	C₂×C₂²⋊C₄	1	2	yes	—
713	C₂×#117	C₂²×D₄	1	2	yes	—
714	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
715	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
716	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
717	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
718	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
719	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
720	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
721	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
722	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
723	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
724	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
725	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
726	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
727	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
728	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
729	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
730	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
731	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
732	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
733	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
734	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
735	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
736	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
737	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
738	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
739	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
740	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
741	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
742	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
743	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
744	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
745	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
746	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
747	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
748	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
749	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
750	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
751	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
752	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
753	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
754	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
755	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
756	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
757	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
758	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
759	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
760	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
761	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
762	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
763	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
764	C₂²×C₄²	#120	1	1	yes	characteristic
765	C₂²×C₄²	#120	1	1	yes	characteristic
766	C₂²×C₄²	#120	1	1	yes	characteristic
767	C₂²×C₄²	#120	1	1	yes	characteristic
768	C₂²×C₄²	#120	1	1	yes	characteristic
769	C₂²×C₄²	#120	1	1	yes	characteristic
770	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
771	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
772	C₂²×C₄²	C₂²×D₄	1	8	yes	complemented
773	#395	C₂×C₂²⋊C₄	1	4	yes	—
774	#395	C₂×C₂²⋊C₄	1	4	yes	—
775	#395	C₂×C₂²⋊C₄	1	4	yes	—
776	#395	C₂×C₂²⋊C₄	1	4	yes	—
777	#394	C₂×C₂²⋊C₄	1	4	yes	—
778	#394	C₂×C₂²⋊C₄	1	4	yes	—
779	#394	C₂×C₂²⋊C₄	1	4	yes	—
780	#394	C₂×C₂²⋊C₄	1	4	yes	—
781	#393	C₂×C₂²⋊C₄	1	4	yes	—
782	#393	C₂×C₂²⋊C₄	1	4	yes	—
783	#393	C₂×C₂²⋊C₄	1	4	yes	—
784	#393	C₂×C₂²⋊C₄	1	4	yes	—
785	#392	C₂×C₂²⋊C₄	1	4	yes	—
786	#392	C₂×C₂²⋊C₄	1	4	yes	—
787	#392	C₂×C₂²⋊C₄	1	4	yes	—
788	#392	C₂×C₂²⋊C₄	1	4	yes	—
789	#386	C₂×C₂²⋊C₄	1	2	yes	—
790	#386	C₂×C₂²⋊C₄	1	2	yes	—
791	#386	C₂×C₂²⋊C₄	1	2	yes	—
792	#386	C₂×C₂²⋊C₄	1	2	yes	—
793	#386	C₂×C₂²⋊C₄	1	2	yes	—
794	#386	C₂×C₂²⋊C₄	1	2	yes	—
795	#386	C₂×C₂²⋊C₄	1	2	yes	—
796	#386	C₂×C₂²⋊C₄	1	2	yes	—
797	#385	C₂×C₂²⋊C₄	1	2	yes	—
798	#385	C₂×C₂²⋊C₄	1	2	yes	—
799	#385	C₂×C₂²⋊C₄	1	2	yes	—
800	#385	C₂×C₂²⋊C₄	1	2	yes	—
801	#385	C₂×C₂²⋊C₄	1	2	yes	—
802	#385	C₂×C₂²⋊C₄	1	2	yes	—
803	#385	C₂×C₂²⋊C₄	1	2	yes	—
804	#385	C₂×C₂²⋊C₄	1	2	yes	—
805	#381	C₂×C₂²⋊C₄	1	4	yes	—
806	#381	C₂²×D₄	1	4	yes	—
807	#380	C₂×C₂²⋊C₄	1	2	yes	—
808	#380	C₂×C₂²⋊C₄	1	2	yes	—
809	#380	C₂³×C₄	1	2	yes	—
810	#380	C₂³×C₄	1	2	yes	—
811	#379	C₂×C₂²⋊C₄	1	2	yes	—
812	#379	C₂×C₂²⋊C₄	1	2	yes	—
813	#379	C₂×C₂²⋊C₄	1	2	yes	—
814	#379	C₂×C₂²⋊C₄	1	2	yes	—
815	#379	C₂×C₂²⋊C₄	1	2	yes	—
816	#379	C₂×C₂²⋊C₄	1	2	yes	—
817	#379	C₂×C₂²⋊C₄	1	2	yes	—
818	#379	C₂×C₂²⋊C₄	1	2	yes	—
819	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
820	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
821	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
822	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
823	C₄×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
824	C₄×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
825	C₄×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
826	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
827	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
828	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
829	C₂×#95	C₂×C₂²⋊C₄	1	2	yes	—
830	C₂×#95	C₂×C₂²⋊C₄	1	2	yes	—
831	C₂⁵	#379	1	1	yes	characteristic
832	C₂⁵	#379	1	1	yes	characteristic
833	C₂⁵	#379	1	1	yes	characteristic
834	C₂⁵	#379	1	1	yes	characteristic
835	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
836	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
837	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
838	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
839	C₂⁵	C₂×#120	1	1	yes	characteristic
840	C₂⁵	C₂×#120	1	1	yes	characteristic
841	C₂⁵	C₂×#120	1	1	yes	characteristic
842	C₂⁵	C₂×#120	1	1	yes	characteristic
843	C₂⁵	C₂×#120	1	1	yes	characteristic
844	C₂⁵	C₂×#120	1	1	yes	characteristic
845	C₂⁵	D₄²	1	2	yes	—
846	C₂⁵	D₄²	1	2	yes	—
847	C₂⁵	#546	1	2	yes	—
848	C₂⁵	#546	1	2	yes	—
849	C₂⁵	C₂³×D₄	1	1	yes	characteristic
850	C₂×#41	#386	1	4	yes	—
851	C₂×#41	#386	1	4	yes	—
852	C₂×#41	#386	1	8	yes	—
853	C₂×#41	#386	1	8	yes	—
854	C₂×#41	#386	1	4	yes	—
855	C₂×#41	#386	1	4	yes	—
856	C₂×#41	B(4,𝔽₂)	1	16	yes	—
857	C₂×#41	C₂×#120	1	4	yes	—
858	C₂×#41	C₂×#120	1	4	yes	—
859	C₂×#41	C₂×#121	1	8	yes	—
860	C₂×#41	C₂×#121	1	8	yes	—
861	C₂×#41	C₂×#123	1	4	yes	—
862	C₂×#41	C₂×#123	1	4	yes	—
863	C₂²×Q₈	#386	1	2	yes	—
864	C₂²×Q₈	#386	1	2	yes	—
865	C₂²×Q₈	#386	1	8	yes	—
866	C₂²×Q₈	#386	1	2	yes	—
867	C₂²×Q₈	#386	1	2	yes	—
868	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
869	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
870	C₂²×Q₈	C₂²×C₂²⋊C₄	1	4	yes	—
871	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
872	C₂²×Q₈	C₂×C₄×D₄	1	8	yes	—
873	C₂²×D₄	#379	1	1	yes	characteristic
874	C₂²×D₄	#379	1	1	yes	characteristic
875	C₂²×D₄	#379	1	1	yes	characteristic
876	C₂²×D₄	#379	1	1	yes	characteristic
877	C₂²×D₄	#379	1	1	yes	characteristic
878	C₂²×D₄	#379	1	1	yes	characteristic
879	C₂²×D₄	#379	1	1	yes	characteristic
880	C₂²×D₄	#379	1	1	yes	characteristic
881	C₂²×D₄	#386	1	2	yes	—
882	C₂²×D₄	#386	1	2	yes	—
883	C₂²×D₄	#386	1	8	yes	—
884	C₂²×D₄	#386	1	2	yes	—
885	C₂²×D₄	#386	1	2	yes	—
886	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
887	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
888	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
889	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
890	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
891	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
892	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
893	C₂²×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
894	C₂²×D₄	C₂×C₄×D₄	1	8	yes	—
895	C₂²×D₄	C₂×#120	1	1	yes	characteristic
896	C₂²×D₄	C₂×#120	1	1	yes	characteristic
897	C₂²×D₄	C₂×#120	1	1	yes	characteristic
898	C₂²×D₄	C₂×#120	1	1	yes	characteristic
899	C₂³×C₄	#379	1	1	yes	characteristic
900	C₂³×C₄	#379	1	1	yes	characteristic
901	C₂³×C₄	#379	1	1	yes	characteristic
902	C₂³×C₄	#379	1	1	yes	characteristic
903	C₂³×C₄	#379	1	1	yes	characteristic
904	C₂³×C₄	#379	1	1	yes	characteristic
905	C₂³×C₄	#379	1	1	yes	characteristic
906	C₂³×C₄	#379	1	1	yes	characteristic
907	C₂³×C₄	#379	1	1	yes	characteristic
908	C₂³×C₄	#379	1	1	yes	characteristic
909	C₂³×C₄	#379	1	1	yes	characteristic
910	C₂³×C₄	#379	1	1	yes	characteristic
911	C₂³×C₄	#379	1	1	yes	characteristic
912	C₂³×C₄	#379	1	1	yes	characteristic
913	C₂³×C₄	#379	1	1	yes	characteristic
914	C₂³×C₄	#379	1	1	yes	characteristic
915	C₂³×C₄	#379	1	1	yes	characteristic
916	C₂³×C₄	#379	1	1	yes	characteristic
917	C₂³×C₄	#379	1	1	yes	characteristic
918	C₂³×C₄	#379	1	1	yes	characteristic
919	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
920	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
921	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
922	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
923	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
924	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
925	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
926	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
927	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
928	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
929	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
930	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
931	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
932	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
933	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
934	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
935	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
936	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
937	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
938	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
939	C₂³×C₄	#518	1	2	yes	—
940	C₂³×C₄	#518	1	2	yes	—
941	C₂³×C₄	#518	1	2	yes	—
942	C₂³×C₄	#518	1	2	yes	—
943	C₂³×C₄	C₂×#120	1	1	yes	characteristic
944	C₂³×C₄	C₂×#120	1	2	yes	—
945	C₂³×C₄	C₂×#120	1	1	yes	characteristic
946	C₂³×C₄	C₂×#120	1	1	yes	characteristic
947	C₂³×C₄	C₂×#120	1	1	yes	characteristic
948	C₂³×C₄	C₂×#120	1	1	yes	characteristic
949	C₂³×C₄	C₂×#120	1	1	yes	characteristic
950	C₂³×C₄	C₂×#120	1	1	yes	characteristic
951	C₂³×C₄	C₂×#120	1	1	yes	characteristic
952	C₂³×C₄	C₂×#120	1	1	yes	characteristic
953	C₂³×C₄	C₂×#120	1	1	yes	characteristic
954	C₂³×C₄	C₂×#120	1	1	yes	characteristic
955	C₂³×C₄	C₂×#120	1	1	yes	characteristic
956	C₂³×C₄	C₂×#120	1	1	yes	characteristic
957	C₂³×C₄	C₂×#120	1	1	yes	characteristic
958	C₂³×C₄	C₂×#120	1	1	yes	characteristic
959	C₂³×C₄	C₂×#120	1	1	yes	characteristic
960	C₂³×C₄	C₂×#120	1	1	yes	characteristic
961	C₂³×C₄	C₂×#120	1	1	yes	characteristic
962	C₂³×C₄	C₂×#120	1	1	yes	characteristic
963	C₂³×C₄	C₂×#120	1	1	yes	characteristic
964	C₂³×C₄	C₂×#120	1	1	yes	characteristic
965	C₂³×C₄	C₂×#120	1	1	yes	characteristic
966	C₂³×C₄	C₂×#120	1	1	yes	characteristic
967	C₂³×C₄	C₂×#120	1	1	yes	characteristic
968	C₂³×C₄	C₂×#121	1	2	yes	—
969	C₂³×C₄	C₂×#121	1	2	yes	—
970	C₂³×C₄	C₂×#121	1	2	yes	—
971	C₂³×C₄	C₂×#121	1	2	yes	—
972	C₂³×C₄	C₂×#123	1	1	yes	characteristic
973	C₂³×C₄	C₂×#123	1	1	yes	characteristic
974	C₂³×C₄	C₂×#123	1	2	yes	—
975	C₂³×C₄	#534	1	1	yes	characteristic
976	C₂³×C₄	#534	1	1	yes	characteristic
977	C₂³×C₄	#534	1	1	yes	characteristic
978	C₂³×C₄	#534	1	1	yes	characteristic
979	C₂³×C₄	#534	1	2	yes	—
980	C₂³×C₄	#534	1	2	yes	—
981	C₂³×C₄	#534	1	2	yes	—
982	C₂³×C₄	#534	1	2	yes	—
983	C₂³×C₄	#534	1	2	yes	—
984	C₂³×C₄	#534	1	2	yes	—
985	C₂³×C₄	D₄²	1	2	yes	—
986	C₂³×C₄	D₄²	1	2	yes	—
987	C₂³×C₄	D₄²	1	2	yes	—
988	C₂³×C₄	D₄²	1	2	yes	—
989	C₂³×C₄	D₄²	1	2	yes	—
990	C₂³×C₄	D₄²	1	2	yes	—
991	C₂³×C₄	D₄²	1	2	yes	—
992	C₂³×C₄	D₄²	1	2	yes	—
993	C₂³×C₄	D₄²	1	2	yes	—
994	C₂³×C₄	D₄²	1	2	yes	—
995	C₂³×C₄	D₄²	1	2	yes	—
996	C₂³×C₄	D₄²	1	2	yes	—
997	C₂³×C₄	D₄²	1	2	yes	—
998	C₂³×C₄	D₄²	1	2	yes	—
999	C₂³×C₄	#546	1	2	yes	—
1000	C₂³×C₄	#546	1	2	yes	—
1001	C₂³×C₄	#546	1	2	yes	—
1002	C₂³×C₄	#546	1	2	yes	—
1003	C₂³×C₄	#546	1	2	yes	—
1004	C₂³×C₄	#546	1	2	yes	—
1005	C₂³×C₄	#546	1	2	yes	—
1006	C₂³×C₄	#546	1	2	yes	—
1007	C₂³×C₄	#546	1	2	yes	—
1008	C₂³×C₄	#546	1	2	yes	—
1009	C₂³×C₄	#546	1	2	yes	—
1010	C₂³×C₄	#546	1	2	yes	—
1011	C₂³×C₄	#546	1	2	yes	—
1012	C₂³×C₄	#546	1	2	yes	—
1013	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
1014	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1015	C₂³×C₄	C₂³×D₄	1	2	yes	—
1016	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1017	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1018	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1019	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1020	C₂³×C₄	C₂²×#41	1	2	yes	—
1021	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1022	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1023	#120	#421	1	8	yes	complemented
1024	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	#379	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1033	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1034	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	#379	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1059	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1060	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1061	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
1070	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1078	C₂×C₄²	#379	1	1	yes	characteristic
1079	C₂×C₄²	#379	1	1	yes	characteristic
1080	C₂×C₄²	#379	1	1	yes	characteristic
1081	C₂×C₄²	#379	1	1	yes	characteristic
1082	C₂×C₄²	#379	1	1	yes	characteristic
1083	C₂×C₄²	#379	1	1	yes	characteristic
1084	C₂×C₄²	#379	1	1	yes	characteristic
1085	C₂×C₄²	#379	1	1	yes	characteristic
1086	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1087	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1088	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1089	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1090	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1091	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1092	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1093	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1094	#95	C₂²×C₂²⋊C₄	1	4	yes	—
1095	#95	C₂²×C₂²⋊C₄	1	4	yes	—
1096	C₂⁴	C₂×#379	1	1	yes	characteristic
1097	C₂⁴	C₂×#379	1	1	yes	characteristic
1098	C₂⁴	C₂×#379	1	1	yes	characteristic
1099	C₂⁴	C₂×#379	1	1	yes	characteristic
1100	C₂⁴	C₂×#379	1	1	yes	characteristic
1101	C₂⁴	C₂×#379	1	1	yes	characteristic
1102	C₂⁴	C₂×#379	1	1	yes	characteristic
1103	C₂⁴	C₂×#379	1	1	yes	characteristic
1104	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
1105	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
1106	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
1107	C₂⁴	D₄×C₂²⋊C₄	1	2	yes	—
1108	C₂⁴	#2403	1	1	yes	characteristic
1109	C₂⁴	#2403	1	2	yes	—
1110	C₂⁴	#2403	1	1	yes	characteristic
1111	C₂⁴	#2405	1	1	yes	characteristic
1112	C₂⁴	#2405	1	1	yes	characteristic
1113	C₂⁴	#2405	1	2	yes	—
1114	C₂⁴	#2410	1	2	yes	—
1115	C₂⁴	#2410	1	2	yes	—
1116	C₂⁴	#2410	1	2	yes	—
1117	C₂⁴	#2410	1	2	yes	—
1118	C₂⁴	C₂×#421	1	4	yes	complemented
1119	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1120	C₂⁴	C₂²×#120	1	1	yes	characteristic
1121	C₂⁴	C₂²×#120	1	1	yes	characteristic
1122	C₂⁴	C₂×D₄²	1	2	yes	—
1123	C₂⁴	C₂×#546	1	2	yes	—
1124	#41	#1889	1	16	yes	complemented
1125	#41	C₂×B(4,𝔽₂)	1	16	yes	—
1126	C₂×Q₈	#1889	1	8	yes	complemented
1127	C₂×Q₈	C₂×#386	1	4	yes	—
1128	C₂×Q₈	C₂×#386	1	4	yes	—
1129	C₂×D₄	#1889	1	8	yes	complemented
1130	C₂×D₄	C₂×#386	1	4	yes	—
1131	C₂×D₄	C₂×#386	1	4	yes	—
1132	C₂×D₄	C₂×#421	1	4	yes	—
1133	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1134	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1135	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1136	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1137	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1138	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1139	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1140	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1141	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1142	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1143	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1144	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1145	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1146	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1147	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1148	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1149	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1150	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1151	C₂²×C₄	C₂×#386	1	2	yes	—
1152	C₂²×C₄	C₂×#386	1	2	yes	—
1153	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1154	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1155	C₂²×C₄	#2308	1	1	yes	characteristic
1156	C₂²×C₄	#2308	1	1	yes	characteristic
1157	C₂²×C₄	#2308	1	1	yes	characteristic
1158	C₂²×C₄	#2308	1	1	yes	characteristic
1159	C₂²×C₄	#2308	1	2	yes	—
1160	C₂²×C₄	#2308	1	2	yes	—
1161	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1162	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1163	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1164	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1165	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1166	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1167	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1168	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1169	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1170	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1171	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1172	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1173	C₂²×C₄	#2403	1	1	yes	characteristic
1174	C₂²×C₄	#2403	1	2	yes	—
1175	C₂²×C₄	#2403	1	1	yes	characteristic
1176	C₂²×C₄	#2403	1	1	yes	characteristic
1177	C₂²×C₄	#2403	1	2	yes	—
1178	C₂²×C₄	#2403	1	2	yes	—
1179	C₂²×C₄	#2403	1	1	yes	characteristic
1180	C₂²×C₄	#2403	1	1	yes	characteristic
1181	C₂²×C₄	#2403	1	1	yes	characteristic
1182	C₂²×C₄	#2405	1	1	yes	characteristic
1183	C₂²×C₄	#2405	1	1	yes	characteristic
1184	C₂²×C₄	#2405	1	1	yes	characteristic
1185	C₂²×C₄	#2405	1	1	yes	characteristic
1186	C₂²×C₄	#2405	1	1	yes	characteristic
1187	C₂²×C₄	#2405	1	1	yes	characteristic
1188	C₂²×C₄	#2405	1	2	yes	—
1189	C₂²×C₄	#2405	1	2	yes	—
1190	C₂²×C₄	#2405	1	2	yes	—
1191	C₂²×C₄	#2410	1	2	yes	—
1192	C₂²×C₄	#2410	1	2	yes	—
1193	C₂²×C₄	#2410	1	2	yes	—
1194	C₂²×C₄	#2410	1	2	yes	—
1195	C₂²×C₄	#2410	1	2	yes	—
1196	C₂²×C₄	#2410	1	2	yes	—
1197	C₂²×C₄	#2410	1	2	yes	—
1198	C₂²×C₄	#2410	1	2	yes	—
1199	C₂²×C₄	#2410	1	2	yes	—
1200	C₂²×C₄	#2410	1	2	yes	—
1201	C₂²×C₄	#2410	1	2	yes	—
1202	C₂²×C₄	#2410	1	2	yes	—
1203	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	—
1204	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1205	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1206	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1207	C₂²×C₄	C₂×#518	1	2	yes	—
1208	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1209	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1210	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1211	C₂²×C₄	C₂²×#121	1	2	yes	—
1212	C₂²×C₄	C₂²×#123	1	1	yes	characteristic
1213	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1214	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1215	C₂²×C₄	C₂×#534	1	2	yes	—
1216	C₂²×C₄	C₂×D₄²	1	2	yes	—
1217	C₂²×C₄	C₂×D₄²	1	2	yes	—
1218	C₂²×C₄	C₂×D₄²	1	2	yes	—
1219	C₂²×C₄	C₂×#546	1	2	yes	—
1220	C₂²×C₄	C₂×#546	1	2	yes	—
1221	C₂²×C₄	C₂×#546	1	2	yes	—
1222	C₂²⋊C₄	C₂×#421	1	4	yes	complemented
1223	C₂³	#13867	1	2	yes	—
1224	C₂³	#13867	1	2	yes	—
1225	C₂³	#13867	1	1	yes	characteristic
1226	C₂³	#13867	1	1	yes	characteristic
1227	C₂³	#13867	1	1	yes	characteristic
1228	C₂³	#13867	1	1	yes	characteristic
1229	C₂³	#20605	1	2	yes	complemented
1230	C₂³	#23900	1	4	yes	—
1231	C₂³	C₂²×#379	1	1	yes	characteristic
1232	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1233	C₂³	C₂×#2403	1	1	yes	characteristic
1234	C₂³	C₂×#2410	1	2	yes	—
1235	C₂³	C₂×#2405	1	1	yes	characteristic
1236	C₂³	C₂²×#421	1	2	yes	—
1237	C₂³	#60093	1	2	yes	—
1238	Q₈	C₂×#1889	1	8	yes	—
1239	D₄	C₂×#1889	1	8	yes	—
1240	C₂×C₄	#13867	1	1	yes	characteristic
1241	C₂×C₄	#13867	1	1	yes	characteristic
1242	C₂×C₄	#13867	1	2	yes	—
1243	C₂×C₄	#13867	1	2	yes	—
1244	C₂×C₄	#13867	1	1	yes	characteristic
1245	C₂×C₄	#13867	1	1	yes	characteristic
1246	C₂×C₄	#20605	1	2	yes	complemented
1247	C₂×C₄	C₂×#1889	1	4	yes	—
1248	C₂×C₄	C₂×#1889	1	4	yes	—
1249	C₂×C₄	#23900	1	4	yes	—
1250	C₂×C₄	#23900	1	4	yes	—
1251	C₂×C₄	#23900	1	4	yes	—
1252	C₂×C₄	C₂²×#386	1	1	yes	characteristic
1253	C₂×C₄	C₂×#2308	1	1	yes	characteristic
1254	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1255	C₂×C₄	C₂×#2403	1	1	yes	characteristic
1256	C₂×C₄	C₂×#2410	1	2	yes	—
1257	C₂×C₄	C₂×#2405	1	1	yes	characteristic
1258	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1259	C₂²	#359501	1	2	yes	—
1260	C₂²	#359501	1	2	yes	—
1261	C₂²	#359649	1	2	yes	—
1262	C₂²	C₂×#13867	1	1	yes	characteristic
1263	C₂²	C₂×#20605	1	1	yes	characteristic
1264	C₂²	#6370728	1	1	yes	characteristic
1265	C₂²	D₄×#421	1	4	yes	—
1266	C₂²	C₂×#23900	1	2	yes	—
1267	C₄	#359501	1	2	yes	—
1268	C₄	#359501	1	2	yes	—
1269	C₄	C₂²×#1889	1	2	yes	—
1270	C₄	C₂×#23900	1	2	yes	—
1271	C₂	#72239234	1	1	yes	characteristic
1272	C₂	C₂×#359649	1	1	yes	characteristic
1273	C₂	C₂×#359501	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×#2403
commutator	C₂³×C₄	C₂⁴×C₄
Frattini, cosocle	C₂⁴×C₄	C₂⁵
socle	C₂²	C₂×#13867
prime radical	C₂×#41×#120	C₂
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂⁵×C₄ ◁ G
LECS	G ▷ C₂⁴×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72281184	C₂	semidirect
2. #72280992	C₂	semidirect
3. #72280780	C₂	semidirect
4. #72280506	C₂	semidirect
5. #72279693	C₂	semidirect
7. #72268044	C₂	semidirect
8. #72268041	C₂	semidirect
9. #72267442	C₂	semidirect
10. #72267299	C₂	semidirect
11. #72239778	C₂	semidirect
12. #72238114	C₂	semidirect
13. C₂×#193892	C₂	semidirect
16. C₂×#60230	C₂²	semidirect
18. #41×#120	C₄	semidirect
19. #41×#120	C₄	semidirect
22. C₂×#36575	C₄	semidirect
23. C₂×Q₈×#120	C₄	semidirect
24. C₂×#36429	C₄	semidirect
25. C₂×#36428	C₄	semidirect
26. C₂×#36213	C₄	semidirect
27. C₂×#36212	C₄	semidirect
28. C₂×#36152	C₄	semidirect
29. C₂×D₄×#120	C₄	semidirect
32. #7625417	C₂²	semidirect
35. #6386071	C₂²	semidirect
36. #6386070	C₂²	semidirect
37. #6374227	C₂²	semidirect
38. C₂×#20722	C₂²	semidirect
41. C₂×#20605	C₂²	semidirect
42. C₂×#20605	C₂²	semidirect
43. C₂×#20579	C₂²	semidirect
44. #6343373	C₂²	semidirect
45. C₂×#17362	C₂²	semidirect
46. #607558	C₂²	semidirect
47. #392123	C₂²	semidirect
48. #358153	C₂²	semidirect
49. C₄×#1889	C₂²	semidirect
50. #353824	C₂²	semidirect
51. #201455	C₂²	semidirect
52. #201446	C₂²	semidirect
53. #194662	C₂²	semidirect
54. #194662	C₂²	semidirect
55. #193892	C₂²	semidirect
56. #193892	C₂²	semidirect
57. #185457	C₂²	semidirect
58. #185457	C₂²	semidirect
59. #181776	C₂²	semidirect
60. #181125	C₂²	semidirect
61. C₂×#7929	C₂²	semidirect
62. #113924	C₂²	semidirect
63. #111633	C₂²	semidirect
64. #106972	C₂²	semidirect
65. C₂⁴×#41	C₂×C₄	semidirect
66. C₂⁴×#41	C₂×C₄	semidirect
67. C₂⁴×#41	C₂×C₄	semidirect
72. C₂⁵×Q₈	C₂×C₄	semidirect
73. C₂⁵×D₄	C₂×C₄	semidirect
97. #60230	C₂³	semidirect
98. #60230	C₂³	semidirect
99. C₂²×#421	D₄	semidirect
102. #36614	C₂×C₄	semidirect
104. C₂×#2848	C₂×C₄	semidirect
105. C₂×#2848	C₂×C₄	semidirect
106. C₂×#2847	C₂×C₄	semidirect
107. C₂×#2847	C₂×C₄	semidirect
109. #36575	C₂×C₄	semidirect
111. Q₈×#120	C₂×C₄	semidirect
113. #36429	C₂×C₄	semidirect
115. #36428	C₂×C₄	semidirect
117. #36213	C₂×C₄	semidirect
119. #36212	C₂×C₄	semidirect
121. #36152	C₂×C₄	semidirect
123. D₄×#120	C₂×C₄	semidirect
124. #34738	C₂×C₄	semidirect
136. C₂×#2436	C₂×C₄	semidirect
137. C₂×#2435	C₂×C₄	semidirect
138. C₂×#2434	C₂×C₄	semidirect
141. C₂×#2433	C₂×C₄	semidirect
146. C₂²⋊C₄×#41	C₂×C₄	semidirect
148. C₂×Q₈×C₂²⋊C₄	C₂×C₄	semidirect
149. C₂×Q₈×C₂²⋊C₄	C₂×C₄	semidirect
150. C₂×D₄×C₂²⋊C₄	C₂×C₄	semidirect
151. C₂×D₄×C₂²⋊C₄	C₂×C₄	semidirect
152. #34057	C₂³	semidirect
175. C₄×#518	C₂³	semidirect
177. #21773	C₂³	semidirect
178. C₂×#1789	D₄	semidirect
181. C₂×#1789	C₂³	semidirect
182. C₂×#1789	C₂³	semidirect
183. #20579	C₂³	semidirect
184. C₂×C₄×#99	C₂³	semidirect
185. C₂×C₄×#99	C₂³	semidirect
186. #17542	C₂³	semidirect
187. #17362	C₂³	semidirect
188. #17362	C₂³	semidirect
189. C₄×#379	C₂³	semidirect
190. C₄×#342	C₂³	semidirect
191. #8051	C₂³	semidirect
192. #7942	C₂³	semidirect
193. #7929	C₂³	semidirect
195. C₂³×#41	C₂²⋊C₄	semidirect
196. C₂³×#41	C₂²⋊C₄	semidirect
197. C₂³×#41	C₂²⋊C₄	semidirect
198. C₂³×#41	C₂²⋊C₄	semidirect
222. C₂⁴×Q₈	C₂²⋊C₄	semidirect
226. C₂⁴×D₄	C₂²⋊C₄	semidirect
242. C₂³×M₁₆	C₂×D₄	semidirect
243. C₂×#550	C₂²⋊C₄	semidirect
244. C₂×#550	C₂²⋊C₄	semidirect
247. C₂×D₄×Q₈	C₂²⋊C₄	semidirect
248. C₂×D₄×Q₈	C₂²⋊C₄	semidirect
251. C₂×#548	C₂²⋊C₄	semidirect
252. C₂×#548	C₂²⋊C₄	semidirect
253. C₂×#548	C₂²⋊C₄	semidirect
254. C₂×#548	C₂²⋊C₄	semidirect
259. C₂×#547	C₂²⋊C₄	semidirect
260. C₂×#547	C₂²⋊C₄	semidirect
263. C₂×#546	C₂²⋊C₄	semidirect
264. C₂×#546	C₂²⋊C₄	semidirect
265. C₂×#546	C₂²⋊C₄	semidirect
266. C₂×#546	C₂²⋊C₄	semidirect
271. C₂×D₄²	C₂²⋊C₄	semidirect
272. C₂×D₄²	C₂²⋊C₄	semidirect
275. C₂×#532	C₂²⋊C₄	semidirect
276. C₂×#532	C₂²⋊C₄	semidirect
279. C₂²×C₄⋊Q₈	C₂²⋊C₄	semidirect
280. C₂²×#127	C₂²⋊C₄	semidirect
281. C₂²×#124	C₂²⋊C₄	semidirect
282. C₂²×#124	C₂²⋊C₄	semidirect
283. C₂×#525	C₂²⋊C₄	semidirect
284. C₂×#525	C₂²⋊C₄	semidirect
291. C₂²×C₂²⋊Q₈	C₂²⋊C₄	semidirect
292. C₂²×C₂²⋊Q₈	C₂²⋊C₄	semidirect
295. C₂²×#121	C₂²⋊C₄	semidirect
296. C₂²×#121	C₂²⋊C₄	semidirect
307. C₂×C₄×#41	C₂²⋊C₄	semidirect
308. C₂×C₄×#41	C₂²⋊C₄	semidirect
311. C₂²×C₄×Q₈	C₂²⋊C₄	semidirect
312. C₂²×C₄×Q₈	C₂²⋊C₄	semidirect
313. C₂²×C₄×D₄	C₂²⋊C₄	semidirect
314. C₂²×C₄×D₄	C₂²⋊C₄	semidirect
340. C₂²×#117	C₂×D₄	semidirect
347. C₂²×#104	C₂×D₄	semidirect
348. C₂×#407	C₂×D₄	semidirect
359. #2409	C₂²⋊C₄	semidirect
360. #2409	C₂²⋊C₄	semidirect
361. #2409	C₂²⋊C₄	semidirect
362. #2409	C₂²⋊C₄	semidirect
367. #2408	C₂²⋊C₄	semidirect
368. #2408	C₂²⋊C₄	semidirect
369. #2408	C₂²⋊C₄	semidirect
370. #2408	C₂²⋊C₄	semidirect
375. #2406	C₂²⋊C₄	semidirect
376. #2406	C₂²⋊C₄	semidirect
379. #2404	C₂²⋊C₄	semidirect
380. #2404	C₂²⋊C₄	semidirect
383. #2388	C₂²⋊C₄	semidirect
384. #2388	C₂²⋊C₄	semidirect
385. #2388	C₂²⋊C₄	semidirect
386. #2388	C₂²⋊C₄	semidirect
391. C₂×#395	C₂²⋊C₄	semidirect
392. C₂×#395	C₂²⋊C₄	semidirect
393. C₂×#394	C₂²⋊C₄	semidirect
394. C₂×#394	C₂²⋊C₄	semidirect
395. C₂×#393	C₂²⋊C₄	semidirect
396. C₂×#393	C₂²⋊C₄	semidirect
397. C₂×#392	C₂²⋊C₄	semidirect
398. C₂×#392	C₂²⋊C₄	semidirect
474. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
607. C₂²×M₁₆	C₂²×D₄	semidirect
772. C₂²×C₄²	C₂²×D₄	semidirect
1023. #120	#421	semidirect
1118. C₂⁴	C₂×#421	semidirect
1124. #41	#1889	semidirect
1126. C₂×Q₈	#1889	semidirect
1129. C₂×D₄	#1889	semidirect
1222. C₂²⋊C₄	C₂×#421	semidirect
1229. C₂³	#20605	semidirect
1246. C₂×C₄	#20605	semidirect

Maximal subgroups

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

subgroup	index
#72281184	2
#72280992	2
#72280780	2
#72280506	2
#72279693	2
C₂×#41×#120	2
#72268044	2
#72268041	2
#72267442	2
#72267299	2
#72239778	2
#72238114	2
C₂×#193892	2