Finite Group Databasebeta

← #14326388

Subgroups — #14326388

Order 1920.

1584 conjugacy classes of subgroups.

The subgroup lattice has 1200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×C22⋊AGL(1,𝔽5)C211yesmaximal, characteristic
2C2×#91907C211yesmaximal, characteristic, complemented
3D3×D5×C22⋊C4C211yesmaximal, characteristic
4#11752359C211yesmaximal, characteristic, complemented
5C3×#65700C211yesmaximal, characteristic, complemented
6#11752025C211yesmaximal, characteristic
7#11752018C211yesmaximal, characteristic, complemented
8#11752017C211yesmaximal, characteristic, complemented
9#11751934C211yesmaximal, characteristic, complemented
10#11751932C211yesmaximal, characteristic, complemented
11#11751931C211yesmaximal, characteristic, complemented
12AGL(1,𝔽5)×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
13#11751854C211yesmaximal, characteristic, complemented
14#11751853C211yesmaximal, characteristic, complemented
15C4×(C2×D3)⋊AGL(1,𝔽5)C211yesmaximal, characteristic, complemented
16#10617072—31nomaximal, Hall
17C23×D3×D5C2211yescharacteristic
18C22×D3×AGL(1,𝔽5)C2211yescharacteristic
19C22×D3×AGL(1,𝔽5)C2211yescharacteristic
20C2×C4×D3×D5C2211yescharacteristic
21C2×C4×D3×D5C2211yescharacteristic
22C2×#6763C2211yescharacteristic
23C2×#6763C2211yescharacteristic
24C2×C4⋊ΓL(1,𝔽16)C2211yescharacteristic, complemented
25C2×C4×ΓL(1,𝔽16)C2211yescharacteristic, complemented
26C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
27C2×C3×C22⋊AGL(1,𝔽5)C2211yescharacteristic
28C2×C3×C4⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
29C2×C3×C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
30D3×C22⋊AGL(1,𝔽5)—24no—
31C2×Dic3⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
32C2×Dic3⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
33C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
34C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
35C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
36C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
37C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
38C2×(C2×D3)⋊AGL(1,𝔽5)C2211yescharacteristic
39C2×Dic3×AGL(1,𝔽5)C2211yescharacteristic, complemented
40C2×Dic3×AGL(1,𝔽5)C2211yescharacteristic, complemented
41#91907—24no—
42C22⋊C4×D15C411yescharacteristic, complemented
43C5×D3×C22⋊C4C411yescharacteristic, complemented
44C3×D5×C22⋊C4C2211yescharacteristic
45#91561C411yescharacteristic, complemented
46D3×C22⋊Dic5C411yescharacteristic, complemented
47D5×#217C2211yescharacteristic
48#91473C411yescharacteristic, complemented
49#91473C411yescharacteristic, complemented
50D3×#685C411yescharacteristic, complemented
51D3×#685C411yescharacteristic, complemented
52D5×(C2×D3)⋊C4C2211yescharacteristic
53D5×(C2×D3)⋊C4C2211yescharacteristic
54#91235C2211yescharacteristic, complemented
55#91235C2211yescharacteristic, complemented
56C3×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
57C3×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
58(C2×AGL(1,𝔽5))⋊Dic3C2211yescharacteristic, complemented
59(C2×AGL(1,𝔽5))⋊Dic3C2211yescharacteristic, complemented
60(C2×AGL(1,𝔽5))⋊Dic3C2211yescharacteristic, complemented
61(C2×AGL(1,𝔽5))⋊Dic3C2211yescharacteristic, complemented
62#75833—51nomaximal, Hall
63C22×C22⋊AGL(1,𝔽5)—31no—
64C2×#4130—31no—
65C2×D5×C22⋊C4—31no—
66#65800—31no—
67#65765—31no—
68#65764—31no—
69C4×C22⋊AGL(1,𝔽5)—31no—
70#65700—31no—
71#65700—31no—
72#65700—31no—
73#65700D311yescharacteristic, complemented
74#65699—31no—
75#65699—31no—
76C22⋊C4×AGL(1,𝔽5)—31no—
77C22⋊C4×AGL(1,𝔽5)—31no—
78C23×D15C2×C411yescharacteristic
79C23×C5×D3C2×C411yescharacteristic
80C23×C3×D5C2311yescharacteristic
81C22×D3×D5—22no—
82C22×D3×D5—22no—
83C22×D3×D5—22no—
84C22×D3×D5—22no—
85C22×D3×D5—41no—
86C22×D3×D5—41no—
87C22×D3×D5C2×C411yescharacteristic
88C22×D3×D5C2×C411yescharacteristic
89C22×D3×D5C2311yescharacteristic
90C22×D3×D5C2311yescharacteristic
91C22×ΓL(1,𝔽16)C2311yescharacteristic
92C22×ΓL(1,𝔽16)C2311yescharacteristic
93C22×ΓL(1,𝔽16)C2311yescharacteristic
94C22×ΓL(1,𝔽16)C2311yescharacteristic
95C22×C3×AGL(1,𝔽5)C2311yescharacteristic
96C22×C3×AGL(1,𝔽5)C2311yescharacteristic
97C22×C3×AGL(1,𝔽5)C2311yescharacteristic
98C22×C3×AGL(1,𝔽5)C2311yescharacteristic
99C2×D3×AGL(1,𝔽5)—22no—
100C2×D3×AGL(1,𝔽5)—22no—
101C2×D3×AGL(1,𝔽5)—22no—
102C2×D3×AGL(1,𝔽5)—22no—
103C2×D3×AGL(1,𝔽5)—41no—
104C2×D3×AGL(1,𝔽5)—41no—
105C2×C4×D15C2×C411yescharacteristic, complemented
106C2×C4×D15C2×C411yescharacteristic, complemented
107C2×C4×C5×D3C2×C411yescharacteristic, complemented
108C2×C4×C5×D3C2×C411yescharacteristic, complemented
109C2×C3×C4×D5C2311yescharacteristic
110C2×C3×C4×D5C2311yescharacteristic
111C2×#1200C2×C411yescharacteristic, complemented
112C2×#1200C2×C411yescharacteristic, complemented
113C2×D3×Dic5C2×C411yescharacteristic, complemented
114C2×D3×Dic5C2×C411yescharacteristic, complemented
115C2×D5×Dic3C2311yescharacteristic
116C2×D5×Dic3C2311yescharacteristic
117C4×D3×D5—22no—
118C4×D3×D5—22no—
119C4×D3×D5—41no—
120C4×D3×D5—41no—
121#6763—22no—
122#6763—41no—
123C4⋊ΓL(1,𝔽16)—22no—
124C4×ΓL(1,𝔽16)—41no—
125C3×C22⋊AGL(1,𝔽5)—22no—
126C3×C22⋊AGL(1,𝔽5)—41no—
127C3×C4⋊AGL(1,𝔽5)—22no—
128C3×C4×AGL(1,𝔽5)—41no—
129Dic3⋊AGL(1,𝔽5)—41no—
130Dic3⋊AGL(1,𝔽5)—41no—
131(C2×D3)⋊AGL(1,𝔽5)—22no—
132(C2×D3)⋊AGL(1,𝔽5)—22no—
133(C2×D3)⋊AGL(1,𝔽5)—22no—
134(C2×D3)⋊AGL(1,𝔽5)—22no—
135(C2×D3)⋊AGL(1,𝔽5)—22no—
136(C2×D3)⋊AGL(1,𝔽5)D414yes—
137Dic3×AGL(1,𝔽5)—22no—
138Dic3×AGL(1,𝔽5)—22no—
139C3×C5×C22⋊C4C2×C411yescharacteristic, complemented
140#6719C2×C411yescharacteristic, complemented
141#6714C2×C411yescharacteristic
142#6714C2×C411yescharacteristic
143C5×#217C2×C411yescharacteristic, complemented
144C5×(C2×D3)⋊C4C2×C411yescharacteristic
145C5×(C2×D3)⋊C4C2×C411yescharacteristic
146C3×C22⋊Dic5C2×C411yescharacteristic, complemented
147C3×#685C2×C411yescharacteristic, complemented
148C3×#685C2×C411yescharacteristic, complemented
149#6667C2×C411yescharacteristic
150#6667C2×C411yescharacteristic
151(C2×D3)⋊Dic5C2×C411yescharacteristic
152(C2×D3)⋊Dic5C2×C411yescharacteristic
153#6665C2×C411yescharacteristic, complemented
154#6665C2×C411yescharacteristic, complemented
155C2×#892—51no—
156C2×D3×C22⋊C4—51no—
157C2×D3×C22⋊C4—51no—
158C3×#388—51no—
159#4989—51no—
160#4955—51no—
161#4951—51no—
162#4945—51no—
163#4944—51no—
164C4×(C2×D3)⋊C4—51no—
165C4×(C2×D3)⋊C4—51no—
166#4668—51no—
167#4667—51no—
168#4666—51no—
169#4664—51no—
170C24×D5—31no—
171C23×AGL(1,𝔽5)—31no—
172C23×AGL(1,𝔽5)—31no—
173C22×C4×D5—31no—
174C22×C4×D5—31no—
175C2×C22⋊AGL(1,𝔽5)—31no—
176C2×C22⋊AGL(1,𝔽5)—31no—
177C2×C22⋊AGL(1,𝔽5)—31no—
178C2×C22⋊AGL(1,𝔽5)—31no—
179C2×C22⋊AGL(1,𝔽5)—31no—
180C2×C22⋊AGL(1,𝔽5)—31no—
181C2×C22⋊AGL(1,𝔽5)—31no—
182C2×C22⋊AGL(1,𝔽5)—31no—
183C2×C22⋊AGL(1,𝔽5)—64no—
184C2×C22⋊AGL(1,𝔽5)C2×D311yescharacteristic
185C2×C22⋊AGL(1,𝔽5)C2×D311yescharacteristic
186#4130—64no—
187C2×C4⋊AGL(1,𝔽5)—31no—
188C2×C4⋊AGL(1,𝔽5)—31no—
189C2×C4⋊AGL(1,𝔽5)—31no—
190C2×C4⋊AGL(1,𝔽5)C2×D311yescharacteristic, complemented
191C2×C4×AGL(1,𝔽5)—31no—
192C2×C4×AGL(1,𝔽5)—31no—
193C2×C4×AGL(1,𝔽5)—31no—
194C2×C4×AGL(1,𝔽5)C2×D311yescharacteristic, complemented
195C2×C5×C22⋊C4—31no—
196C2×C22⋊Dic5—31no—
197C2×#685—31no—
198C2×#685—31no—
199D5×C22⋊C4—31no—
200D5×C22⋊C4—31no—
201D5×C22⋊C4—31no—
202D5×C22⋊C4—31no—
203D5×C22⋊C4—31no—
204D5×C22⋊C4—31no—
205D5×C22⋊C4—31no—
206D5×C22⋊C4C2×D311yescharacteristic
207(C2×AGL(1,𝔽5))⋊C4—31no—
208(C2×AGL(1,𝔽5))⋊C4—31no—
209(C2×AGL(1,𝔽5))⋊C4—31no—
210(C2×AGL(1,𝔽5))⋊C4—31no—
211(C2×AGL(1,𝔽5))⋊C4—31no—
212(C2×AGL(1,𝔽5))⋊C4—31no—
213(C2×AGL(1,𝔽5))⋊C4C2×D311yescharacteristic, complemented
214(C2×AGL(1,𝔽5))⋊C4C2×D311yescharacteristic, complemented
215#2342—151noSylow
216C23×C3×C5C22×C411yescharacteristic
217C22×D15—22no—
218C22×D15—22no—
219C22×D15—41no—
220C22×D15C22×C411yescharacteristic
221C22×D15C22×C411yescharacteristic
222C22×C5×D3—22no—
223C22×C5×D3—22no—
224C22×C5×D3—41no—
225C22×C5×D3C22×C411yescharacteristic
226C22×C5×D3C22×C411yescharacteristic
227C22×C3×D5—21no—
228C22×C3×D5—21no—
229C22×C3×D5—21no—
230C22×C3×D5—21no—
231C22×C3×D5—21no—
232C22×C3×D5—21no—
233C22×C3×D5C22×C411yescharacteristic
234C22×C3×D5C2411yescharacteristic
235C2×D3×D5—21no—
236C2×D3×D5—21no—
237C2×D3×D5—21no—
238C2×D3×D5—21no—
239C2×D3×D5—21no—
240C2×D3×D5—21no—
241C2×D3×D5—21no—
242C2×D3×D5—21no—
243C2×D3×D5—22no—
244C2×D3×D5—22no—
245C2×D3×D5—22no—
246C2×D3×D5—22no—
247C2×D3×D5—44no—
248C2×D3×D5—44no—
249C2×D3×D5—44no—
250C2×D3×D5—44no—
251C2×D3×D5—41no—
252C2×D3×D5—41no—
253C2×D3×D5C2×D412yes—
254C2×D3×D5#4112yes—
255C2×D3×D5#4112yes—
256C2×D3×D5#4112yes—
257C2×ΓL(1,𝔽16)—21no—
258C2×ΓL(1,𝔽16)—21no—
259C2×ΓL(1,𝔽16)—21no—
260C2×ΓL(1,𝔽16)—21no—
261C2×ΓL(1,𝔽16)—21no—
262C2×ΓL(1,𝔽16)—21no—
263C2×ΓL(1,𝔽16)—21no—
264C2×ΓL(1,𝔽16)—21no—
265C2×ΓL(1,𝔽16)—21no—
266C2×ΓL(1,𝔽16)—21no—
267C2×ΓL(1,𝔽16)—21no—
268C2×ΓL(1,𝔽16)C2×D412yes—
269C2×C3×AGL(1,𝔽5)—21no—
270C2×C3×AGL(1,𝔽5)—21no—
271C2×C3×AGL(1,𝔽5)—21no—
272C2×C3×AGL(1,𝔽5)—21no—
273C2×C3×AGL(1,𝔽5)—21no—
274C2×C3×AGL(1,𝔽5)—21no—
275C2×C3×AGL(1,𝔽5)—21no—
276C2×C3×AGL(1,𝔽5)—21no—
277C2×C3×AGL(1,𝔽5)—21no—
278C2×C3×AGL(1,𝔽5)—21no—
279C2×C3×AGL(1,𝔽5)—21no—
280C2×C3×AGL(1,𝔽5)C2×D412yes—
281D3×AGL(1,𝔽5)—44no—
282D3×AGL(1,𝔽5)—44no—
283C2×C3×C4×C5C22×C411yescharacteristic
284C2×C3×C4×C5C22×C411yescharacteristic
285C2×Dic15C22×C411yescharacteristic
286C2×Dic15C22×C411yescharacteristic
287C4×D15—22no—
288C4×D15—41no—
289C2×C5×Dic3C22×C411yescharacteristic
290C2×C5×Dic3C22×C411yescharacteristic
291C4×C5×D3—22no—
292C4×C5×D3—41no—
293C2×C3×Dic5C22×C411yescharacteristic
294C2×C3×Dic5C22×C411yescharacteristic
295C3×C4×D5—21no—
296C3×C4×D5—21no—
297C3×C4×D5—21no—
298C3×C4×D5—21no—
299#1200—22no—
300#1200—41no—
301D3×Dic5—22no—
302D3×Dic5—41no—
303D5×Dic3—21no—
304D5×Dic3—21no—
305D5×Dic3—21no—
306D5×Dic3—21no—
307C24×D3—51no—
308C22×C4×D3—51no—
309C22×C4×D3—51no—
310C22×C4×D3—51no—
311C22×C4×D3—51no—
312C2×C3×C4⋊C4—51no—
313C2×C3×C22⋊C4—51no—
314C2×C3×C22⋊C4—51no—
315C2×C3×C22⋊C4—51no—
316C2×C3×C42—51no—
317C2×#217—51no—
318C2×#217—51no—
319C2×#217—51no—
320C2×(C2×D3)⋊C4—51no—
321C2×(C2×D3)⋊C4—51no—
322C2×(C2×D3)⋊C4—51no—
323C2×(C2×D3)⋊C4—51no—
324C2×(C2×D3)⋊C4—51no—
325C2×(C2×D3)⋊C4—51no—
326C2×(C2×D3)⋊C4—51no—
327C2×(C2×D3)⋊C4—51no—
328C2×C4⋊Dic3—51no—
329C2×Dic3⋊C4—51no—
330C2×Dic3⋊C4—51no—
331C2×C4×Dic3—51no—
332C2×C4×Dic3—51no—
333C2×C4×Dic3—51no—
334#892—104no—
335D3×C22⋊C4—51no—
336D3×C22⋊C4—51no—
337D3×C22⋊C4—51no—
338D3×C22⋊C4—51no—
339D3×C22⋊C4—51no—
340D3×C22⋊C4—51no—
341D3×C22⋊C4—51no—
342D3×C22⋊C4—104no—
343D3×C22⋊C4AGL(1,𝔽5)11yescharacteristic, complemented
344C3×#95—51no—
345C3×#95—51no—
346C3⋊#95—51no—
347C3⋊#95—51no—
348C3⋊#95—51no—
349C3⋊#95—51no—
350C3⋊#95—51no—
351C3⋊#95—51no—
352C24×C5—31no—
353C23×D5—31no—
354C23×D5—31no—
355C23×D5—31no—
356C23×D5—31no—
357C23×D5—31no—
358C23×D5—62no—
359C23×D5—62no—
360C23×D5—62no—
361C23×D5—62no—
362C23×D5—121no—
363C23×D5—121no—
364C23×D5C22×D311yescharacteristic
365C22×AGL(1,𝔽5)—31no—
366C22×AGL(1,𝔽5)—31no—
367C22×AGL(1,𝔽5)—31no—
368C22×AGL(1,𝔽5)—31no—
369C22×AGL(1,𝔽5)—62no—
370C22×AGL(1,𝔽5)—62no—
371C22×AGL(1,𝔽5)—62no—
372C22×AGL(1,𝔽5)—62no—
373C22×AGL(1,𝔽5)—121no—
374C22×AGL(1,𝔽5)—121no—
375C22×AGL(1,𝔽5)C22×D311yescharacteristic
376C22×AGL(1,𝔽5)C22×D311yescharacteristic
377C22×AGL(1,𝔽5)C22×D311yescharacteristic
378C22×AGL(1,𝔽5)C22×D311yescharacteristic
379C22×C4×C5—31no—
380C22×C4×C5—31no—
381C22×Dic5—31no—
382C22×Dic5—31no—
383C2×C4×D5—31no—
384C2×C4×D5—31no—
385C2×C4×D5—31no—
386C2×C4×D5—31no—
387C2×C4×D5—31no—
388C2×C4×D5—31no—
389C2×C4×D5—62no—
390C2×C4×D5—62no—
391C2×C4×D5—121no—
392C2×C4×D5—121no—
393C2×C4×D5C22×D311yescharacteristic
394C2×C4×D5C22×D311yescharacteristic
395C22⋊AGL(1,𝔽5)—22no—
396C22⋊AGL(1,𝔽5)—34no—
397C22⋊AGL(1,𝔽5)—41no—
398C22⋊AGL(1,𝔽5)—62no—
399C22⋊AGL(1,𝔽5)—62no—
400C22⋊AGL(1,𝔽5)—62no—
401C22⋊AGL(1,𝔽5)—62no—
402C22⋊AGL(1,𝔽5)—62no—
403C22⋊AGL(1,𝔽5)—62no—
404C22⋊AGL(1,𝔽5)—121no—
405C4⋊AGL(1,𝔽5)—22no—
406C4⋊AGL(1,𝔽5)—62no—
407C4⋊AGL(1,𝔽5)—121no—
408C4⋊AGL(1,𝔽5)—121no—
409C4×AGL(1,𝔽5)—41no—
410C4×AGL(1,𝔽5)—62no—
411C4×AGL(1,𝔽5)—62no—
412C4×AGL(1,𝔽5)—121no—
413C5×C22⋊C4—31no—
414C5×C22⋊C4—31no—
415C5×C22⋊C4—31no—
416C5×C22⋊C4C4×D311yescharacteristic, complemented
417C22⋊Dic5—31no—
418C22⋊Dic5—31no—
419C22⋊Dic5—31no—
420C22⋊Dic5C4×D311yescharacteristic, complemented
421#685—31no—
422#685—31no—
423#685—31no—
424#685—31no—
425#685—31no—
426#685—31no—
427#685C4×D311yescharacteristic, complemented
428#685C4×D311yescharacteristic, complemented
429C2×#117—151no—
430C22×C22⋊C4—151no—
431C22×C22⋊C4—151no—
432#388—51no—
433#388—151no—
434#388—151no—
435#388—151no—
436#385—151no—
437#385—151no—
438#381—151no—
439#380—151no—
440#379—151no—
441C4×C22⋊C4—151no—
442C4×C22⋊C4—151no—
443C4×C22⋊C4—151no—
444C22×C3×C5—21no—
445C22×C3×C5—21no—
446C22×C3×C5—21no—
447C22×C3×C5C23×C411yescharacteristic
448C2×D15—21no—
449C2×D15—21no—
450C2×D15—21no—
451C2×D15—21no—
452C2×D15—44no—
453C2×D15#11712yescomplemented
454C2×D15C4×D412yes—
455C2×C5×D3—21no—
456C2×C5×D3—21no—
457C2×C5×D3—21no—
458C2×C5×D3—21no—
459C2×C5×D3—44no—
460C2×C5×D3#11712yescomplemented
461C2×C5×D3C4×D412yes—
462C2×C3×D5—21no—
463C2×C3×D5—21no—
464C2×C3×D5—21no—
465C2×C3×D5—41no—
466C2×C3×D5—41no—
467C2×C3×D5—41no—
468C2×C3×D5—41no—
469C2×C3×D5C22×D411yescharacteristic
470C2×C3×D5C2×#4111yescharacteristic
471C2×C3×D5C2×#4111yescharacteristic
472C2×C3×D5C2×#4111yescharacteristic
473C2×C3×D5H(5,𝔽2)11yescharacteristic
474C2×C3×D5H(5,𝔽2)11yescharacteristic
475D3×D5—22no—
476D3×D5—22no—
477D3×D5—22no—
478D3×D5—22no—
479D3×D5—22no—
480D3×D5—22no—
481D3×D5—22no—
482D3×D5—22no—
483D3×D5—44no—
484D3×D5—44no—
485ΓL(1,𝔽16)—22no—
486ΓL(1,𝔽16)—41no—
487ΓL(1,𝔽16)—41no—
488ΓL(1,𝔽16)—41no—
489C3×AGL(1,𝔽5)—22no—
490C3×AGL(1,𝔽5)—41no—
491C3×AGL(1,𝔽5)—41no—
492C3×AGL(1,𝔽5)—41no—
493C3×C4×C5—21no—
494C3×C4×C5—21no—
495Dic15—21no—
496Dic15—21no—
497C3×Dic5—21no—
498C3×Dic5—21no—
499C5×Dic3—21no—
500C5×Dic3—21no—
501C24×C3—51no—
502C23×D3—51no—
503C23×D3—51no—
504C23×D3—51no—
505C23×D3—51no—
506C23×D3—51no—
507C23×D3—102no—
508C23×D3—102no—
509C23×D3—102no—
510C23×D3—102no—
511C23×D3—201no—
512C23×D3—201no—
513C23×D3C2×AGL(1,𝔽5)11yescharacteristic
514C22×C3×C4—51no—
515C22×C3×C4—51no—
516C22×C3×C4—51no—
517C22×C3×C4—51no—
518C22×C3×C4—51no—
519C22×C3×C4—51no—
520C22×Dic3—51no—
521C22×Dic3—51no—
522C22×Dic3—51no—
523C22×Dic3—51no—
524C22×Dic3—51no—
525C22×Dic3—51no—
526C2×C4×D3—51no—
527C2×C4×D3—51no—
528C2×C4×D3—51no—
529C2×C4×D3—51no—
530C2×C4×D3—51no—
531C2×C4×D3—51no—
532C2×C4×D3—102no—
533C2×C4×D3—102no—
534C2×C4×D3—102no—
535C2×C4×D3—102no—
536C2×C4×D3—102no—
537C2×C4×D3—102no—
538C2×C4×D3—201no—
539C2×C4×D3—201no—
540C2×C4×D3—201no—
541C2×C4×D3—201no—
542C2×C4×D3C2×AGL(1,𝔽5)11yescharacteristic, complemented
543C2×C4×D3C2×AGL(1,𝔽5)11yescharacteristic, complemented
544C3×C4⋊C4—102no—
545C3×C22⋊C4—51no—
546C3×C22⋊C4—51no—
547C3×C22⋊C4—51no—
548C3×C22⋊C4—102no—
549C3×C22⋊C4—201no—
550C3×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
551C3×C42—201no—
552#217—51no—
553#217—51no—
554#217—51no—
555#217—102no—
556#217—201no—
557#217C2×AGL(1,𝔽5)11yescharacteristic, complemented
558(C2×D3)⋊C4—54no—
559(C2×D3)⋊C4—51no—
560(C2×D3)⋊C4—51no—
561(C2×D3)⋊C4—51no—
562(C2×D3)⋊C4—51no—
563(C2×D3)⋊C4—51no—
564(C2×D3)⋊C4—51no—
565(C2×D3)⋊C4—102no—
566(C2×D3)⋊C4—102no—
567(C2×D3)⋊C4—102no—
568(C2×D3)⋊C4—102no—
569(C2×D3)⋊C4—102no—
570(C2×D3)⋊C4C2×AGL(1,𝔽5)11yescharacteristic
571(C2×D3)⋊C4C2×AGL(1,𝔽5)11yescharacteristic
572C4⋊Dic3—102no—
573Dic3⋊C4—201no—
574Dic3⋊C4—201no—
575C4×Dic3—102no—
576C4×Dic3—102no—
577C4×Dic3—201no—
578C23×C5—31no—
579C23×C5—31no—
580C23×C5—62no—
581C23×C5—62no—
582C23×C5—121no—
583C23×C5C2×C4×D311yescharacteristic
584C22×D5—21no—
585C22×D5—21no—
586C22×D5—21no—
587C22×D5—21no—
588C22×D5—21no—
589C22×D5—21no—
590C22×D5—31no—
591C22×D5—31no—
592C22×D5—32no—
593C22×D5—32no—
594C22×D5—32no—
595C22×D5—32no—
596C22×D5—62no—
597C22×D5—62no—
598C22×D5—62no—
599C22×D5—62no—
600C22×D5—62no—
601C22×D5—62no—
602C22×D5—61no—
603C22×D5—61no—
604C22×D5—61no—
605C22×D5—61no—
606C22×D5—61no—
607C22×D5—61no—
608C22×D5—61no—
609C22×D5—61no—
610C22×D5—121no—
611C22×D5—121no—
612C22×D5—124no—
613C22×D5—124no—
614C22×D5—124no—
615C22×D5—124no—
616C22×D5—121no—
617C22×D5C2×C4×D311yescharacteristic
618C22×D5C23×D311yescharacteristic
619C2×AGL(1,𝔽5)—21no—
620C2×AGL(1,𝔽5)—21no—
621C2×AGL(1,𝔽5)—21no—
622C2×AGL(1,𝔽5)—21no—
623C2×AGL(1,𝔽5)—21no—
624C2×AGL(1,𝔽5)—21no—
625C2×AGL(1,𝔽5)—21no—
626C2×AGL(1,𝔽5)—21no—
627C2×AGL(1,𝔽5)—21no—
628C2×AGL(1,𝔽5)—21no—
629C2×AGL(1,𝔽5)—21no—
630C2×AGL(1,𝔽5)—32no—
631C2×AGL(1,𝔽5)—61no—
632C2×AGL(1,𝔽5)—61no—
633C2×AGL(1,𝔽5)—61no—
634C2×AGL(1,𝔽5)—61no—
635C2×AGL(1,𝔽5)—61no—
636C2×AGL(1,𝔽5)—61no—
637C2×AGL(1,𝔽5)—61no—
638C2×AGL(1,𝔽5)—61no—
639C2×AGL(1,𝔽5)—61no—
640C2×AGL(1,𝔽5)—61no—
641C2×AGL(1,𝔽5)—61no—
642C2×AGL(1,𝔽5)—124no—
643C2×AGL(1,𝔽5)—124no—
644C2×AGL(1,𝔽5)D3×D412yes—
645C2×C4×C5—31no—
646C2×C4×C5—31no—
647C2×C4×C5—62no—
648C2×C4×C5—121no—
649C2×C4×C5C2×C4×D311yescharacteristic
650C2×C4×C5C2×C4×D311yescharacteristic
651C2×Dic5—31no—
652C2×Dic5—31no—
653C2×Dic5—62no—
654C2×Dic5—121no—
655C2×Dic5C2×C4×D311yescharacteristic
656C2×Dic5C2×C4×D311yescharacteristic
657C4×D5—21no—
658C4×D5—21no—
659C4×D5—21no—
660C4×D5—21no—
661C4×D5—62no—
662C4×D5—62no—
663C4×D5—61no—
664C4×D5—61no—
665C4×D5—61no—
666C4×D5—61no—
667C4×D5—121no—
668C4×D5—121no—
669C25—151no—
670C23×C4—151no—
671C23×C4—151no—
672C23×C4—151no—
673C23×C4—151no—
674#117—304no—
675C2×C4⋊C4—51no—
676C2×C4⋊C4—151no—
677C2×C4⋊C4—151no—
678C2×C4⋊C4—151no—
679C2×C22⋊C4—31no—
680C2×C22⋊C4—51no—
681C2×C22⋊C4—51no—
682C2×C22⋊C4—51no—
683C2×C22⋊C4—151no—
684C2×C22⋊C4—151no—
685C2×C22⋊C4—151no—
686C2×C22⋊C4—151no—
687C2×C22⋊C4—151no—
688C2×C22⋊C4—151no—
689C2×C22⋊C4—151no—
690C2×C22⋊C4—151no—
691C2×C22⋊C4—151no—
692C2×C22⋊C4—151no—
693C2×C22⋊C4—151no—
694C2×C22⋊C4—151no—
695C2×C22⋊C4—151no—
696C2×C22⋊C4—151no—
697C2×C22⋊C4—151no—
698C2×C22⋊C4—151no—
699C2×C22⋊C4—151no—
700C2×C22⋊C4—151no—
701C2×C22⋊C4—304no—
702C2×C42—51no—
703C2×C42—151no—
704C2×C42—151no—
705C2×C42—151no—
706#95—51no—
707#95—51no—
708#95—151no—
709#95—151no—
710#95—151no—
711#95—151no—
712#95—151no—
713#95—151no—
714C2×C3×C5—41no—
715C2×C3×C5C2×#11711yescharacteristic
716C2×C3×C5C2×C4×D411yescharacteristic
717C2×C3×C5#51811yescharacteristic
718D15—22no—
719D15—22no—
720C3×D5—41no—
721C3×D5#54611yescharacteristic
722C3×D5#54611yescharacteristic
723C3×D5#55111yescharacteristic
724C3×D5#55111yescharacteristic
725C5×D3—22no—
726C5×D3—22no—
727C23×C3—51no—
728C23×C3—51no—
729C23×C3—101no—
730C23×C3—101no—
731C23×C3—101no—
732C23×C3—101no—
733C23×C3—101no—
734C23×C3—101no—
735C23×C3C22×AGL(1,𝔽5)11yescharacteristic
736C22×D3—22no—
737C22×D3—22no—
738C22×D3—41no—
739C22×D3—51no—
740C22×D3—51no—
741C22×D3—52no—
742C22×D3—52no—
743C22×D3—52no—
744C22×D3—52no—
745C22×D3—102no—
746C22×D3—102no—
747C22×D3—101no—
748C22×D3—101no—
749C22×D3—101no—
750C22×D3—101no—
751C22×D3—101no—
752C22×D3—101no—
753C22×D3—101no—
754C22×D3—101no—
755C22×D3—102no—
756C22×D3—102no—
757C22×D3—102no—
758C22×D3—102no—
759C22×D3—201no—
760C22×D3—201no—
761C22×D3—204no—
762C22×D3—204no—
763C22×D3—204no—
764C22×D3—204no—
765C22×D3—201no—
766C22×D3C22×AGL(1,𝔽5)11yescharacteristic
767C22×D3C22×AGL(1,𝔽5)11yescharacteristic
768C2×C3×C4—52no—
769C2×C3×C4—51no—
770C2×C3×C4—51no—
771C2×C3×C4—101no—
772C2×C3×C4—101no—
773C2×C3×C4—101no—
774C2×C3×C4—101no—
775C2×C3×C4—101no—
776C2×C3×C4—101no—
777C2×C3×C4—101no—
778C2×C3×C4—101no—
779C2×C3×C4—101no—
780C2×C3×C4—101no—
781C2×C3×C4—101no—
782C2×C3×C4—101no—
783C2×C3×C4—101no—
784C2×C3×C4—101no—
785C2×C3×C4—101no—
786C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
787C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
788C2×Dic3—52no—
789C2×Dic3—51no—
790C2×Dic3—51no—
791C2×Dic3—101no—
792C2×Dic3—101no—
793C2×Dic3—101no—
794C2×Dic3—101no—
795C2×Dic3—101no—
796C2×Dic3—101no—
797C2×Dic3—101no—
798C2×Dic3—101no—
799C2×Dic3—101no—
800C2×Dic3—101no—
801C2×Dic3—101no—
802C2×Dic3—101no—
803C2×Dic3—101no—
804C2×Dic3—101no—
805C2×Dic3—101no—
806C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
807C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
808C4×D3—22no—
809C4×D3—41no—
810C4×D3—102no—
811C4×D3—102no—
812C4×D3—102no—
813C4×D3—201no—
814C4×D3—201no—
815C4×D3—201no—
816C4×D3—204no—
817C4×D3—204no—
818C22×C5—21no—
819C22×C5—21no—
820C22×C5—21no—
821C22×C5—32no—
822C22×C5—32no—
823C22×C5—61no—
824C22×C5—61no—
825C22×C5—61no—
826C22×C5—61no—
827C22×C5—124no—
828C22×C5C22×C4×D311yescharacteristic
829C2×D5—21no—
830C2×D5—21no—
831C2×D5—21no—
832C2×D5—32no—
833C2×D5—32no—
834C2×D5—41no—
835C2×D5—41no—
836C2×D5—41no—
837C2×D5—41no—
838C2×D5—61no—
839C2×D5—61no—
840C2×D5—61no—
841C2×D5—61no—
842C2×D5—62no—
843C2×D5—62no—
844C2×D5—62no—
845C2×D5—62no—
846C2×D5—62no—
847C2×D5—62no—
848C2×D5—62no—
849C2×D5—62no—
850C2×D5—124no—
851C2×D5—124no—
852C2×D5—124no—
853C2×D5C2×D3×D411yescharacteristic
854C2×D5#100411yescharacteristic
855C2×D5D3×#4111yescharacteristic
856C2×D5D3×#4111yescharacteristic
857C2×D5D3×#4111yescharacteristic
858C2×D5#100911yescharacteristic
859AGL(1,𝔽5)—22no—
860AGL(1,𝔽5)—41no—
861AGL(1,𝔽5)—41no—
862AGL(1,𝔽5)—41no—
863AGL(1,𝔽5)—62no—
864AGL(1,𝔽5)—121no—
865AGL(1,𝔽5)—121no—
866AGL(1,𝔽5)—121no—
867C4×C5—21no—
868C4×C5—21no—
869C4×C5—61no—
870C4×C5—61no—
871Dic5—21no—
872Dic5—21no—
873Dic5—61no—
874Dic5—61no—
875C24—31no—
876C24—51no—
877C24—151no—
878C24—151no—
879C24—151no—
880C24—151no—
881C24—151no—
882C24—302no—
883C24—302no—
884C24—302no—
885C24—302no—
886C24—601no—
887C24—601no—
888C22×C4—31no—
889C22×C4—31no—
890C22×C4—51no—
891C22×C4—51no—
892C22×C4—51no—
893C22×C4—51no—
894C22×C4—51no—
895C22×C4—51no—
896C22×C4—151no—
897C22×C4—151no—
898C22×C4—151no—
899C22×C4—151no—
900C22×C4—151no—
901C22×C4—151no—
902C22×C4—151no—
903C22×C4—151no—
904C22×C4—151no—
905C22×C4—151no—
906C22×C4—151no—
907C22×C4—151no—
908C22×C4—302no—
909C22×C4—302no—
910C22×C4—302no—
911C22×C4—302no—
912C22×C4—302no—
913C22×C4—302no—
914C22×C4—601no—
915C22×C4—601no—
916C22×C4—601no—
917C22×C4—601no—
918C4⋊C4—102no—
919C4⋊C4—302no—
920C4⋊C4—601no—
921C4⋊C4—601no—
922C22⋊C4—31no—
923C22⋊C4—31no—
924C22⋊C4—31no—
925C22⋊C4—51no—
926C22⋊C4—51no—
927C22⋊C4—51no—
928C22⋊C4—102no—
929C22⋊C4—151no—
930C22⋊C4—151no—
931C22⋊C4—151no—
932C22⋊C4—151no—
933C22⋊C4—151no—
934C22⋊C4—151no—
935C22⋊C4—154no—
936C22⋊C4—151no—
937C22⋊C4—151no—
938C22⋊C4—151no—
939C22⋊C4—201no—
940C22⋊C4—302no—
941C22⋊C4—302no—
942C22⋊C4—302no—
943C22⋊C4—302no—
944C22⋊C4—302no—
945C22⋊C4—302no—
946C22⋊C4—601no—
947C22⋊C4D3×AGL(1,𝔽5)11yescharacteristic, complemented
948C42—201no—
949C42—302no—
950C42—302no—
951C42—601no—
952C3×C5#234211yescharacteristic, complemented, Hall
953C22×C3—21no—
954C22×C3—21no—
955C22×C3—21no—
956C22×C3—51no—
957C22×C3—51no—
958C22×C3—51no—
959C22×C3—51no—
960C22×C3—51no—
961C22×C3—51no—
962C22×C3—101no—
963C22×C3—101no—
964C22×C3—101no—
965C22×C3—201no—
966C22×C3—201no—
967C22×C3—201no—
968C22×C3—201no—
969C22×C3C23×AGL(1,𝔽5)11yescharacteristic
970C2×D3—21no—
971C2×D3—21no—
972C2×D3—21no—
973C2×D3—21no—
974C2×D3—44no—
975C2×D3—52no—
976C2×D3—52no—
977C2×D3—102no—
978C2×D3—102no—
979C2×D3—102no—
980C2×D3—102no—
981C2×D3—102no—
982C2×D3—102no—
983C2×D3—102no—
984C2×D3—102no—
985C2×D3—101no—
986C2×D3—101no—
987C2×D3—101no—
988C2×D3—101no—
989C2×D3—204no—
990C2×D3—204no—
991C2×D3—204no—
992C2×D3#413012yescomplemented
993C2×D3D4×AGL(1,𝔽5)12yes—
994C3×C4—21no—
995C3×C4—21no—
996C3×C4—102no—
997C3×C4—101no—
998C3×C4—101no—
999C3×C4—201no—
1000C3×C4—201no—
1001C3×C4—201no—
1002Dic3—21no—
1003Dic3—21no—
1004Dic3—102no—
1005Dic3—101no—
1006Dic3—101no—
1007Dic3—201no—
1008Dic3—201no—
1009Dic3—201no—
1010C2×C5—41no—
1011C2×C5—62no—
1012C2×C5—62no—
1013C2×C5D3×#11711yescharacteristic
1014C2×C5C4×D3×D411yescharacteristic
1015C2×C5#554511yescharacteristic
1016D5—41no—
1017D5—62no—
1018D5—62no—
1019D5#561011yescharacteristic
1020D5#565911yescharacteristic
1021D5#567611yescharacteristic
1022D5#570511yescharacteristic
1023C23—31no—
1024C23—31no—
1025C23—51no—
1026C23—51no—
1027C23—62no—
1028C23—62no—
1029C23—101no—
1030C23—101no—
1031C23—101no—
1032C23—101no—
1033C23—101no—
1034C23—101no—
1035C23—121no—
1036C23—152no—
1037C23—152no—
1038C23—152no—
1039C23—152no—
1040C23—151no—
1041C23—151no—
1042C23—302no—
1043C23—302no—
1044C23—302no—
1045C23—302no—
1046C23—301no—
1047C23—301no—
1048C23—301no—
1049C23—301no—
1050C23—301no—
1051C23—301no—
1052C23—301no—
1053C23—301no—
1054C23—302no—
1055C23—302no—
1056C23—601no—
1057C23—601no—
1058C23—601no—
1059C23—604no—
1060C23—604no—
1061C23—604no—
1062C23—604no—
1063C23C2×D3×AGL(1,𝔽5)11yescharacteristic
1064C2×C4—31no—
1065C2×C4—31no—
1066C2×C4—52no—
1067C2×C4—51no—
1068C2×C4—51no—
1069C2×C4—62no—
1070C2×C4—101no—
1071C2×C4—101no—
1072C2×C4—101no—
1073C2×C4—101no—
1074C2×C4—101no—
1075C2×C4—101no—
1076C2×C4—101no—
1077C2×C4—101no—
1078C2×C4—101no—
1079C2×C4—101no—
1080C2×C4—101no—
1081C2×C4—101no—
1082C2×C4—101no—
1083C2×C4—101no—
1084C2×C4—101no—
1085C2×C4—121no—
1086C2×C4—152no—
1087C2×C4—151no—
1088C2×C4—151no—
1089C2×C4—302no—
1090C2×C4—302no—
1091C2×C4—301no—
1092C2×C4—301no—
1093C2×C4—301no—
1094C2×C4—301no—
1095C2×C4—302no—
1096C2×C4—301no—
1097C2×C4—301no—
1098C2×C4—301no—
1099C2×C4—301no—
1100C2×C4—301no—
1101C2×C4—301no—
1102C2×C4—301no—
1103C2×C4—301no—
1104C2×C4—301no—
1105C2×C4—301no—
1106C2×C4—301no—
1107C2×C4—601no—
1108C2×C4—601no—
1109C2×C4—601no—
1110C2×C4—604no—
1111C2×C4—604no—
1112C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
1113C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
1114C2×C3—41no—
1115C2×C3—51no—
1116C2×C3—51no—
1117C2×C3—51no—
1118C2×C3—51no—
1119C2×C3—201no—
1120C2×C3C2×#413011yescharacteristic
1121C2×C3C2×D4×AGL(1,𝔽5)11yescharacteristic
1122C2×C3#6625811yescharacteristic
1123D3—22no—
1124D3—22no—
1125D3—102no—
1126D3—102no—
1127C5#7583311yescharacteristic, complemented, Sylow
1128C22—21no—
1129C22—21no—
1130C22—21no—
1131C22—32no—
1132C22—32no—
1133C22—51no—
1134C22—51no—
1135C22—51no—
1136C22—51no—
1137C22—51no—
1138C22—51no—
1139C22—61no—
1140C22—61no—
1141C22—61no—
1142C22—61no—
1143C22—101no—
1144C22—101no—
1145C22—101no—
1146C22—124no—
1147C22—152no—
1148C22—152no—
1149C22—201no—
1150C22—201no—
1151C22—201no—
1152C22—201no—
1153C22—302no—
1154C22—302no—
1155C22—302no—
1156C22—302no—
1157C22—302no—
1158C22—302no—
1159C22—302no—
1160C22—302no—
1161C22—301no—
1162C22—301no—
1163C22—301no—
1164C22—301no—
1165C22—604no—
1166C22—604no—
1167C22—604no—
1168C22C22×D3×AGL(1,𝔽5)11yescharacteristic
1169C4—21no—
1170C4—21no—
1171C4—61no—
1172C4—61no—
1173C4—102no—
1174C4—101no—
1175C4—101no—
1176C4—201no—
1177C4—201no—
1178C4—201no—
1179C4—302no—
1180C4—301no—
1181C4—301no—
1182C4—601no—
1183C4—601no—
1184C4—601no—
1185C3#1061707211yescharacteristic, complemented, Sylow
1186C2—41no—
1187C2—51no—
1188C2—51no—
1189C2—51no—
1190C2—51no—
1191C2—62no—
1192C2—62no—
1193C2—201no—
1194C2—302no—
1195C2—302no—
1196C2D3×#413011yescharacteristic
1197C2D3×D4×AGL(1,𝔽5)11yescharacteristic
1198C2#1175684511yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×C22⋊C4C2×C4
prime radicalC23×D3×D5C22
cosocleC22×C3×D5C24
hypercenterC22⋊C4D3×AGL(1,𝔽5)
hypocenterC3×C5#2342
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91907C2semidirect
4. #11752359C2semidirect
5. C3×#65700C2semidirect
7. #11752018C2semidirect
8. #11752017C2semidirect
9. #11751934C2semidirect
10. #11751932C2semidirect
11. #11751931C2semidirect
12. AGL(1,𝔽5)×(C2×D3)⋊C4C2semidirect
13. #11751854C2semidirect
14. #11751853C2semidirect
15. C4×(C2×D3)⋊AGL(1,𝔽5)C2semidirect
24. C2×C4⋊ΓL(1,𝔽16)C22semidirect
25. C2×C4×ΓL(1,𝔽16)C22semidirect
28. C2×C3×C4⋊AGL(1,𝔽5)C22semidirect
29. C2×C3×C4×AGL(1,𝔽5)C22semidirect
31. C2×Dic3⋊AGL(1,𝔽5)C22semidirect
32. C2×Dic3⋊AGL(1,𝔽5)C22semidirect
39. C2×Dic3×AGL(1,𝔽5)C22semidirect
40. C2×Dic3×AGL(1,𝔽5)C22semidirect
42. C22⋊C4×D15C4semidirect
43. C5×D3×C22⋊C4C4semidirect
45. #91561C4semidirect
46. D3×C22⋊Dic5C4semidirect
48. #91473C4semidirect
49. #91473C4semidirect
50. D3×#685C4semidirect
51. D3×#685C4semidirect
54. #91235C22semidirect
55. #91235C22semidirect
56. C3×(C2×AGL(1,𝔽5))⋊C4C22semidirect
57. C3×(C2×AGL(1,𝔽5))⋊C4C22semidirect
58. (C2×AGL(1,𝔽5))⋊Dic3C22semidirect
59. (C2×AGL(1,𝔽5))⋊Dic3C22semidirect
60. (C2×AGL(1,𝔽5))⋊Dic3C22semidirect
61. (C2×AGL(1,𝔽5))⋊Dic3C22semidirect
73. #65700D3semidirect
105. C2×C4×D15C2×C4semidirect
106. C2×C4×D15C2×C4semidirect
107. C2×C4×C5×D3C2×C4semidirect
108. C2×C4×C5×D3C2×C4semidirect
111. C2×#1200C2×C4semidirect
112. C2×#1200C2×C4semidirect
113. C2×D3×Dic5C2×C4semidirect
114. C2×D3×Dic5C2×C4semidirect
139. C3×C5×C22⋊C4C2×C4semidirect
140. #6719C2×C4semidirect
143. C5×#217C2×C4semidirect
146. C3×C22⋊Dic5C2×C4semidirect
147. C3×#685C2×C4semidirect
148. C3×#685C2×C4semidirect
153. #6665C2×C4semidirect
154. #6665C2×C4semidirect
190. C2×C4⋊AGL(1,𝔽5)C2×D3semidirect
194. C2×C4×AGL(1,𝔽5)C2×D3semidirect
213. (C2×AGL(1,𝔽5))⋊C4C2×D3semidirect
214. (C2×AGL(1,𝔽5))⋊C4C2×D3semidirect
343. D3×C22⋊C4AGL(1,𝔽5)semidirect
416. C5×C22⋊C4C4×D3semidirect
420. C22⋊Dic5C4×D3semidirect
427. #685C4×D3semidirect
428. #685C4×D3semidirect
453. C2×D15#117semidirect
460. C2×C5×D3#117semidirect
542. C2×C4×D3C2×AGL(1,𝔽5)semidirect
543. C2×C4×D3C2×AGL(1,𝔽5)semidirect
550. C3×C22⋊C4C2×AGL(1,𝔽5)semidirect
557. #217C2×AGL(1,𝔽5)semidirect
947. C22⋊C4D3×AGL(1,𝔽5)semidirect
952. C3×C5#2342semidirect
992. C2×D3#4130semidirect
1127. C5#75833semidirect
1185. C3#10617072semidirect

Maximal subgroups

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

subgroupindex
C2×D3×C22⋊AGL(1,𝔽5)2
C2×#919072
D3×D5×C22⋊C42
#117523592
C3×#657002
#117520252
#117520182
#117520172
#117519342
#117519322
#117519312
AGL(1,𝔽5)×(C2×D3)⋊C42
#117518542
#117518532
C4×(C2×D3)⋊AGL(1,𝔽5)2
#106170723
#758335