Subgroups — #13060573

Order 1344.

524 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₃×C₇×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66669	C₂	1	1	yes	maximal, characteristic, complemented
3	#10621434	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#6512	C₂	1	1	yes	maximal, characteristic, complemented
5	#10621080	C₂	1	2	yes	maximal, complemented
6	#10621079	C₂	1	2	yes	maximal, complemented
7	#10621056	C₂	1	2	yes	maximal, complemented
8	#10621055	C₂	1	2	yes	maximal, complemented
9	#10620884	C₂	1	1	yes	maximal, characteristic, complemented
10	#10620860	C₂	1	1	yes	maximal, characteristic, complemented
11	D₃×#1136	C₂	1	1	yes	maximal, characteristic, complemented
12	#90513	—	3	1	no	maximal, Hall
13	C₃×C₇×#41	C₂²	1	1	yes	characteristic
14	C₂×Dic₄₂	C₂²	1	1	yes	characteristic, complemented
15	C₇×#239	C₂²	1	1	yes	characteristic, complemented
16	D₃×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
17	C₇×#237	—	2	1	no	—
18	C₇×#237	C₂²	1	1	yes	characteristic, complemented
19	D₃×C₇×D₄	—	2	1	no	—
20	D₃×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₇×#235	—	2	1	no	—
22	C₇×#235	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₃×C₇	—	2	1	no	—
24	C₂×C₄×D₃×C₇	C₂²	1	1	yes	characteristic
25	C₂×C₃×D₂₈	C₂²	1	1	yes	characteristic, complemented
26	C₂×#4245	—	2	1	no	—
27	C₂×Dic₃×D₇	—	2	1	no	—
28	#66669	—	2	1	no	—
29	#66669	—	2	1	no	—
30	#66669	C₂²	1	2	yes	—
31	#66669	C₂²	1	2	yes	complemented
32	#66635	C₂²	1	2	yes	complemented
33	#66633	C₂²	1	2	yes	complemented
34	#66627	C₂²	1	1	yes	characteristic, complemented
35	C₃×#1143	C₂²	1	2	yes	complemented
36	C₃×#1141	C₂²	1	2	yes	complemented
37	C₃×#1136	C₂²	1	1	yes	characteristic, complemented
38	#66571	C₂²	1	2	yes	complemented
39	#66567	C₂²	1	2	yes	complemented
40	#66563	C₂²	1	2	yes	complemented
41	#66560	C₂²	1	2	yes	complemented
42	#66558	C₂²	1	2	yes	complemented
43	D₃×C₇⋊C₈	C₂²	1	2	yes	complemented
44	C₂×C₇×#41	—	3	1	no	—
45	C₂×#1157	—	3	1	no	—
46	#6514	—	3	1	no	—
47	#6514	—	3	1	no	—
48	#6513	—	3	2	no	—
49	#6513	—	3	2	no	—
50	#6512	—	3	1	no	—
51	#6512	D₃	1	1	yes	characteristic, complemented
52	#6505	—	3	2	no	—
53	#6495	—	3	2	no	—
54	C₂×#1136	—	3	1	no	—
55	#5773	—	7	1	no	maximal, Hall
56	C₂²×D₃×C₇	—	2	1	no	—
57	C₂²×D₃×C₇	D₄	1	1	yes	characteristic
58	C₂²×C₃×D₇	—	2	1	no	—
59	C₃×C₇×Q₈	C₂³	1	1	yes	characteristic
60	C₃×C₇×D₄	—	2	1	no	—
61	C₃×C₇×D₄	C₂³	1	1	yes	characteristic
62	C₂×C₃×C₄×C₇	—	2	1	no	—
63	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
64	C₂×Dic₂₁	—	2	1	no	—
65	Dic₄₂	—	2	1	no	—
66	Dic₄₂	C₂³	1	2	yes	—
67	C₇×#67	—	2	1	no	—
68	C₇×#67	—	2	1	no	—
69	C₇×#67	—	2	1	no	—
70	C₂×C₇×Dic₃	—	2	1	no	—
71	C₂×C₇×Dic₃	D₄	1	1	yes	characteristic
72	C₇×D₁₂	—	2	1	no	—
73	C₇×D₁₂	C₂³	1	1	yes	characteristic
74	C₄×D₃×C₇	—	2	1	no	—
75	C₄×D₃×C₇	—	2	1	no	—
76	C₄×D₃×C₇	—	2	1	no	—
77	C₄×D₃×C₇	D₄	1	1	yes	characteristic
78	C₄×D₃×C₇	D₄	1	1	yes	characteristic
79	C₄×D₃×C₇	C₂³	1	1	yes	characteristic
80	C₄×D₃×C₇	C₂³	1	1	yes	characteristic
81	C₇×Dic₆	—	2	1	no	—
82	C₇×Dic₆	C₂³	1	1	yes	characteristic
83	C₃×D₂₈	—	2	1	no	—
84	C₃×D₂₈	C₂³	1	2	yes	—
85	#4245	—	2	2	no	—
86	#4245	—	2	2	no	—
87	Dic₃×D₇	—	2	2	no	—
88	Dic₃×D₇	—	2	2	no	—
89	C₃⋊(C₇⋊C₈)	C₂³	1	2	yes	—
90	C₃×C₇⋊C₈	C₂³	1	2	yes	—
91	C₇×#41	—	3	1	no	—
92	C₇×#41	—	3	1	no	—
93	C₇×#41	—	3	1	no	—
94	C₇×#41	—	6	1	no	—
95	C₇×#41	—	6	1	no	—
96	C₇×#41	C₂×D₃	1	1	yes	characteristic
97	C₂×C₇×Q₈	—	3	1	no	—
98	C₂×C₇×D₄	—	3	1	no	—
99	C₂×C₇×D₄	—	6	1	no	—
100	C₂²×C₄×C₇	—	3	1	no	—
101	C₂²×C₄×C₇	—	6	1	no	—
102	C₂×C₂²⋊D₇	—	6	1	no	—
103	#1157	—	3	2	no	—
104	#1157	—	3	2	no	—
105	#1157	—	6	1	no	—
106	#1157	—	6	1	no	—
107	C₂×D₂₈	C₂×D₃	1	1	yes	characteristic, complemented
108	C₂×C₄×D₇	—	6	1	no	—
109	C₂×Dic₁₄	—	3	1	no	—
110	#1144	—	3	2	no	—
111	#1144	—	3	2	no	—
112	#1143	—	3	2	no	—
113	#1143	C₂×D₃	1	2	yes	complemented
114	#1142	—	3	2	no	—
115	#1142	—	3	2	no	—
116	#1141	—	3	2	no	—
117	#1141	C₂×D₃	1	2	yes	complemented
118	#1136	—	3	1	no	—
119	#1136	—	3	2	no	—
120	#1136	C₂×D₃	1	1	yes	characteristic, complemented
121	C₂×C₇⋊C₈	—	3	2	no	—
122	D₃×#41	D₇	1	1	yes	characteristic, complemented
123	C₂×#237	—	7	1	no	—
124	C₃×AGL(1,ℤ/8)	—	7	1	no	—
125	#951	—	7	1	no	—
126	#932	—	7	1	no	—
127	#916	—	7	2	no	—
128	#915	—	7	2	no	—
129	#912	—	7	2	no	—
130	#911	—	7	2	no	—
131	#909	—	7	1	no	—
132	D₃×M₁₆	—	7	1	no	—
133	C₂²×C₃×C₇	—	2	1	no	—
134	C₂²×C₃×C₇	C₂×D₄	1	1	yes	characteristic
135	C₂×D₃×C₇	—	2	1	no	—
136	C₂×D₃×C₇	—	4	1	no	—
137	C₂×D₃×C₇	—	4	2	no	—
138	C₂×D₃×C₇	C₂×D₄	1	1	yes	characteristic
139	C₂×D₃×C₇	C₂×D₄	1	1	yes	characteristic
140	C₂×C₃×D₇	—	2	2	no	—
141	C₂×C₃×D₇	—	4	2	no	—
142	C₃×C₄×C₇	—	2	1	no	—
143	C₃×C₄×C₇	C₂×D₄	1	1	yes	characteristic
144	C₃×C₄×C₇	C₂⁴	1	1	yes	characteristic
145	Dic₂₁	—	2	2	no	—
146	C₇×Dic₃	—	2	1	no	—
147	C₇×Dic₃	C₂×D₄	1	1	yes	characteristic
148	C₇×Dic₃	C₂×D₄	1	1	yes	characteristic
149	#575	—	21	1	no	Sylow
150	C₂³×C₇	—	3	1	no	—
151	C₂³×C₇	—	6	1	no	—
152	C₂²×D₇	—	2	1	no	—
153	C₇×Q₈	—	3	1	no	—
154	C₇×Q₈	—	6	1	no	—
155	C₇×Q₈	C₂²×D₃	1	1	yes	characteristic
156	C₇×D₄	—	2	1	no	—
157	C₇×D₄	—	3	1	no	—
158	C₇×D₄	—	6	1	no	—
159	C₇×D₄	—	6	1	no	—
160	C₇×D₄	—	6	1	no	—
161	C₇×D₄	—	6	1	no	—
162	C₇×D₄	C₂²×D₃	1	1	yes	characteristic
163	C₂×C₄×C₇	—	2	1	no	—
164	C₂×C₄×C₇	—	3	1	no	—
165	C₂×C₄×C₇	—	3	1	no	—
166	C₂×C₄×C₇	—	3	1	no	—
167	C₂×C₄×C₇	—	3	1	no	—
168	C₂×C₄×C₇	—	3	1	no	—
169	C₂×C₄×C₇	—	6	1	no	—
170	C₂×C₄×C₇	—	6	1	no	—
171	C₂×C₄×C₇	—	6	1	no	—
172	C₂×C₄×C₇	—	6	1	no	—
173	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
174	C₂²⋊D₇	—	6	2	no	—
175	C₂²⋊D₇	—	6	2	no	—
176	C₂×Dic₇	—	6	1	no	—
177	D₂₈	—	2	1	no	—
178	D₂₈	C₂²×D₃	1	2	yes	—
179	C₄×D₇	—	6	2	no	—
180	C₄×D₇	—	6	2	no	—
181	Dic₁₄	—	3	2	no	—
182	Dic₁₄	—	6	1	no	—
183	C₇⋊C₈	—	3	2	no	—
184	C₇⋊C₈	C₂²×D₃	1	2	yes	—
185	C₃×#41	C₂×D₇	1	1	yes	characteristic
186	C₂×C₃×D₄	—	7	1	no	—
187	C₂×#67	—	14	1	no	—
188	C₂²×Dic₃	—	14	1	no	—
189	#239	C₂×D₇	1	1	yes	characteristic, complemented
190	D₃×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
191	#237	—	2	1	no	—
192	#237	—	7	2	no	—
193	#237	—	7	2	no	—
194	#237	—	14	1	no	—
195	#237	—	14	1	no	—
196	#237	C₂×D₇	1	1	yes	characteristic, complemented
197	D₃×D₄	—	2	1	no	—
198	D₃×D₄	C₂×D₇	1	1	yes	characteristic, complemented
199	#235	—	2	1	no	—
200	#235	C₂×D₇	1	1	yes	characteristic
201	C₂×C₄×D₃	—	2	1	no	—
202	C₂×C₄×D₃	C₂×D₇	1	1	yes	characteristic
203	C₂×Dic₆	—	7	1	no	—
204	C₃×SD₁₆	—	7	2	no	—
205	C₃×D₈	—	7	2	no	—
206	C₃×M₁₆	—	7	1	no	—
207	#216	—	7	2	no	—
208	#214	—	7	2	no	—
209	#214	—	7	2	no	—
210	#213	—	7	2	no	—
211	#208	—	7	1	no	—
212	Dic₁₂	—	7	2	no	—
213	#204	—	7	2	no	—
214	ΓL(1,𝔽₂₅)	—	7	2	no	—
215	D₃×C₈	—	7	2	no	—
216	C₂×C₃×C₇	—	2	1	no	—
217	C₂×C₃×C₇	—	4	1	no	—
218	C₂×C₃×C₇	C₂²×D₄	1	1	yes	characteristic
219	C₃×D₇	—	4	2	no	—
220	D₃×C₇	—	2	1	no	—
221	D₃×C₇	—	2	1	no	—
222	D₃×C₇	—	4	1	no	—
223	C₂×#41	—	3	1	no	—
224	C₂×#41	—	21	1	no	—
225	#137	—	21	1	no	—
226	#137	—	21	2	no	—
227	#137	—	21	1	no	—
228	AGL(1,ℤ/8)	—	7	1	no	—
229	AGL(1,ℤ/8)	—	21	2	no	—
230	AGL(1,ℤ/8)	—	21	1	no	—
231	#135	—	21	2	no	—
232	#135	—	21	2	no	—
233	C₂×M₁₆	—	21	1	no	—
234	C₂²×C₇	—	2	1	no	—
235	C₂²×C₇	—	3	1	no	—
236	C₂²×C₇	—	3	1	no	—
237	C₂²×C₇	—	6	1	no	—
238	C₂²×C₇	—	12	1	no	—
239	C₂²×C₇	—	12	2	no	—
240	C₂²×C₇	D₃×D₄	1	1	yes	characteristic
241	C₂×D₇	—	2	2	no	—
242	C₂×D₇	—	4	2	no	—
243	C₄×C₇	—	2	1	no	—
244	C₄×C₇	—	3	1	no	—
245	C₄×C₇	—	3	1	no	—
246	C₄×C₇	—	6	1	no	—
247	C₄×C₇	D₃×D₄	1	1	yes	characteristic
248	C₄×C₇	C₂³×D₃	1	1	yes	characteristic
249	Dic₇	—	6	2	no	—
250	C₂³×C₃	—	14	1	no	—
251	C₂²×D₃	—	2	1	no	—
252	C₂²×D₃	C₂²⋊D₇	1	1	yes	characteristic
253	C₃×Q₈	C₂²×D₇	1	1	yes	characteristic
254	C₃×D₄	—	2	1	no	—
255	C₃×D₄	—	7	2	no	—
256	C₃×D₄	—	14	1	no	—
257	C₃×D₄	C₂²×D₇	1	1	yes	characteristic
258	C₂×C₃×C₄	—	2	1	no	—
259	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
260	#67	—	2	1	no	—
261	#67	—	2	1	no	—
262	#67	—	2	1	no	—
263	#67	—	14	2	no	—
264	#67	—	14	2	no	—
265	C₂×Dic₃	—	2	1	no	—
266	C₂×Dic₃	—	14	1	no	—
267	C₂×Dic₃	—	14	2	no	—
268	C₂×Dic₃	—	14	2	no	—
269	C₂×Dic₃	C₂²⋊D₇	1	1	yes	characteristic
270	D₁₂	—	2	1	no	—
271	D₁₂	C₂²×D₇	1	1	yes	characteristic
272	C₄×D₃	—	2	1	no	—
273	C₄×D₃	—	2	1	no	—
274	C₄×D₃	—	2	1	no	—
275	C₄×D₃	C₂²⋊D₇	1	1	yes	characteristic
276	C₄×D₃	C₂²⋊D₇	1	1	yes	characteristic
277	C₄×D₃	C₂²×D₇	1	1	yes	characteristic
278	C₄×D₃	C₂²×D₇	1	1	yes	characteristic
279	Dic₆	—	2	1	no	—
280	Dic₆	—	7	2	no	—
281	Dic₆	—	14	1	no	—
282	Dic₆	C₂²×D₇	1	1	yes	characteristic
283	C₃×C₈	—	7	2	no	—
284	C₃⋊C₈	—	7	2	no	—
285	C₃×C₇	#575	1	1	yes	characteristic, complemented, Hall
286	#41	—	3	1	no	—
287	#41	—	3	1	no	—
288	#41	—	3	1	no	—
289	#41	—	6	1	no	—
290	#41	—	6	1	no	—
291	#41	—	21	2	no	—
292	#41	—	21	2	no	—
293	#41	—	42	1	no	—
294	#41	—	42	1	no	—
295	#41	D₃×D₇	1	1	yes	characteristic
296	C₂×Q₈	—	3	1	no	—
297	C₂×Q₈	—	21	1	no	—
298	C₂×D₄	—	3	1	no	—
299	C₂×D₄	—	6	1	no	—
300	C₂×D₄	—	7	1	no	—
301	C₂×D₄	—	42	1	no	—
302	C₂²×C₄	—	3	1	no	—
303	C₂²×C₄	—	6	1	no	—
304	C₂²×C₄	—	42	1	no	—
305	Q₁₆	—	21	2	no	—
306	Q₁₆	—	21	2	no	—
307	SD₁₆	—	7	2	no	—
308	SD₁₆	—	21	2	no	—
309	SD₁₆	—	21	2	no	—
310	SD₁₆	—	21	2	no	—
311	D₈	—	7	2	no	—
312	D₈	—	21	2	no	—
313	M₁₆	—	7	1	no	—
314	M₁₆	—	21	2	no	—
315	M₁₆	—	21	1	no	—
316	C₂×C₈	—	21	2	no	—
317	C₂×C₇	—	2	1	no	—
318	C₂×C₇	—	4	1	no	—
319	C₂×C₇	—	6	1	no	—
320	C₂×C₇	—	6	1	no	—
321	C₂×C₇	—	12	1	no	—
322	C₂×C₇	C₂×D₃×D₄	1	1	yes	characteristic
323	D₇	—	4	2	no	—
324	C₂²×C₃	—	2	1	no	—
325	C₂²×C₃	—	14	2	no	—
326	C₂²×C₃	—	28	2	no	—
327	C₂²×C₃	C₂×C₂²⋊D₇	1	1	yes	characteristic
328	C₂×D₃	—	2	1	no	—
329	C₂×D₃	—	4	1	no	—
330	C₂×D₃	—	4	2	no	—
331	C₂×D₃	C₂×C₂²⋊D₇	1	1	yes	characteristic
332	C₂×D₃	C₂×C₂²⋊D₇	1	1	yes	characteristic
333	C₃×C₄	—	2	1	no	—
334	C₃×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
335	C₃×C₄	C₂³×D₇	1	1	yes	characteristic
336	Dic₃	—	2	1	no	—
337	Dic₃	—	14	2	no	—
338	Dic₃	C₂×C₂²⋊D₇	1	1	yes	characteristic
339	Dic₃	C₂×C₂²⋊D₇	1	1	yes	characteristic
340	C₂³	—	3	1	no	—
341	C₂³	—	6	1	no	—
342	C₂³	—	14	1	no	—
343	Q₈	—	3	1	no	—
344	Q₈	—	6	1	no	—
345	Q₈	—	21	2	no	—
346	Q₈	—	42	1	no	—
347	Q₈	C₂×D₃×D₇	1	1	yes	characteristic
348	D₄	—	2	1	no	—
349	D₄	—	3	1	no	—
350	D₄	—	6	1	no	—
351	D₄	—	6	1	no	—
352	D₄	—	6	1	no	—
353	D₄	—	6	1	no	—
354	D₄	—	7	2	no	—
355	D₄	—	14	1	no	—
356	D₄	—	42	2	no	—
357	D₄	—	42	2	no	—
358	D₄	C₂×D₃×D₇	1	1	yes	characteristic
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	3	1	no	—
361	C₂×C₄	—	3	1	no	—
362	C₂×C₄	—	3	1	no	—
363	C₂×C₄	—	3	1	no	—
364	C₂×C₄	—	3	1	no	—
365	C₂×C₄	—	6	1	no	—
366	C₂×C₄	—	6	1	no	—
367	C₂×C₄	—	6	1	no	—
368	C₂×C₄	—	6	1	no	—
369	C₂×C₄	—	42	2	no	—
370	C₂×C₄	—	42	2	no	—
371	C₂×C₄	—	42	1	no	—
372	C₂×C₄	C₂×D₃×D₇	1	1	yes	characteristic
373	C₈	—	7	2	no	—
374	C₈	—	21	2	no	—
375	C₇	#5773	1	1	yes	characteristic, complemented, Sylow
376	C₂×C₃	—	2	1	no	—
377	C₂×C₃	—	4	1	no	—
378	C₂×C₃	—	28	2	no	—
379	C₂×C₃	C₂²×C₂²⋊D₇	1	1	yes	characteristic
380	D₃	—	2	1	no	—
381	D₃	—	2	1	no	—
382	D₃	—	4	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	3	1	no	—
385	C₂²	—	3	1	no	—
386	C₂²	—	6	1	no	—
387	C₂²	—	12	1	no	—
388	C₂²	—	12	2	no	—
389	C₂²	—	14	2	no	—
390	C₂²	—	28	2	no	—
391	C₂²	D₃×C₂²⋊D₇	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	3	1	no	—
394	C₄	—	3	1	no	—
395	C₄	—	6	1	no	—
396	C₄	—	42	2	no	—
397	C₄	D₃×C₂²⋊D₇	1	1	yes	characteristic
398	C₄	C₂²×D₃×D₇	1	1	yes	characteristic
399	C₃	#90513	1	1	yes	characteristic, complemented, Sylow
400	C₂	—	2	1	no	—
401	C₂	—	4	1	no	—
402	C₂	—	6	1	no	—
403	C₂	—	6	1	no	—
404	C₂	—	12	1	no	—
405	C₂	—	28	2	no	—
406	C₂	C₂×D₃×C₂²⋊D₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×D₃×C₂²⋊D₇
commutator, cosocle	C₃×C₄×C₇	C₂⁴
Frattini	C₄	C₂²×D₃×D₇
Fitting	C₃×C₇×#41	C₂²
socle	C₂×C₃×C₇	C₂²×D₄
hypercenter	#41	D₃×D₇
hypocenter	C₃×C₇	#575
LCS	G ▷ C₃×C₄×C₇ ▷ C₂×C₃×C₇ ▷ C₃×C₇
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #41

Complements

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

N	H ≅ G/N	type
1. D₃×C₇×#41	C₂	semidirect
2. C₂×#66669	C₂	semidirect
3. #10621434	C₂	semidirect
4. C₃×#6512	C₂	semidirect
5. #10621080	C₂	semidirect
6. #10621079	C₂	semidirect
7. #10621056	C₂	semidirect
8. #10621055	C₂	semidirect
9. #10620884	C₂	semidirect
10. #10620860	C₂	semidirect
11. D₃×#1136	C₂	semidirect
14. C₂×Dic₄₂	C₂²	semidirect
15. C₇×#239	C₂²	semidirect
16. D₃×C₇×Q₈	C₂²	semidirect
18. C₇×#237	C₂²	semidirect
20. D₃×C₇×D₄	C₂²	semidirect
25. C₂×C₃×D₂₈	C₂²	semidirect
31. #66669	C₂²	semidirect
32. #66635	C₂²	semidirect
33. #66633	C₂²	semidirect
34. #66627	C₂²	semidirect
35. C₃×#1143	C₂²	semidirect
36. C₃×#1141	C₂²	semidirect
37. C₃×#1136	C₂²	semidirect
38. #66571	C₂²	semidirect
39. #66567	C₂²	semidirect
40. #66563	C₂²	semidirect
41. #66560	C₂²	semidirect
42. #66558	C₂²	semidirect
43. D₃×C₇⋊C₈	C₂²	semidirect
51. #6512	D₃	semidirect
107. C₂×D₂₈	C₂×D₃	semidirect
113. #1143	C₂×D₃	semidirect
117. #1141	C₂×D₃	semidirect
120. #1136	C₂×D₃	semidirect
122. D₃×#41	D₇	semidirect
189. #239	C₂×D₇	semidirect
190. D₃×Q₈	C₂×D₇	semidirect
196. #237	C₂×D₇	semidirect
198. D₃×D₄	C₂×D₇	semidirect
285. C₃×C₇	#575	semidirect
375. C₇	#5773	semidirect
399. C₃	#90513	semidirect

Maximal subgroups

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

subgroup	index
D₃×C₇×#41	2
C₂×#66669	2
#10621434	2
C₃×#6512	2
#10621080	2
#10621079	2
#10621056	2
#10621055	2
#10620884	2
#10620860	2
D₃×#1136	2
#90513	3
#5773	7