Finite Group Databasebeta

← #14325887

Subgroups — #14325887

Order 1920.

1080 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#875C211yesmaximal, characteristic
2#11752349C211yesmaximal, characteristic, complemented
3C3×C4×C4⋊AGL(1,𝔽5)C211yesmaximal, characteristic, complemented
4#11751933C212yesmaximal
5#11751932C212yesmaximal, complemented
6AGL(1,𝔽5)×(C2×D3)⋊C4C212yesmaximal, complemented
7#11751849C212yesmaximal, complemented
8#11751842C212yesmaximal, complemented
9#11751836C212yesmaximal, complemented
10#10617325—31nomaximal, Hall
11C22×D3×AGL(1,𝔽5)C2212yes—
12C2×D5×D12C2211yescharacteristic
13C2×D5×Dic6C2211yescharacteristic
14C2×C3×C4⋊AGL(1,𝔽5)C2212yes—
15C2×C3×C4×AGL(1,𝔽5)C2211yescharacteristic
16C2×C3×C4×AGL(1,𝔽5)C2211yescharacteristic
17C2×Dic3⋊AGL(1,𝔽5)C2212yes—
18C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
19C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
20C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
21C2×Dic3×AGL(1,𝔽5)C2212yes—
22#91764C411yescharacteristic, complemented
23C5×#875C411yescharacteristic, complemented
24C3×C42×D5C2211yescharacteristic
25D5×(C2×D3)⋊C4C2212yes—
26D5×(C2×D3)⋊C4C2212yes—
27#91375C411yescharacteristic, complemented
28#91373C411yescharacteristic, complemented
29#91350C412yescomplemented
30#91350C412yescomplemented
31#91235C2211yescharacteristic
32#91235C2212yes—
33#91235C2212yes—
34#91235C2211yescharacteristic
35C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
36(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
37(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
38#73632—51nomaximal, Hall
39D5×#124—31no—
40(C2×AGL(1,𝔽5))⋊Q8—32no—
41#65779—32no—
42#65700—32no—
43#65700—32no—
44#65699—32no—
45C22⋊C4×AGL(1,𝔽5)—32no—
46#65690—31no—
47C4×C4⋊AGL(1,𝔽5)D311yescharacteristic, complemented
48C22×D3×D5C2312yes—
49C22×ΓL(1,𝔽16)C2312yes—
50C22×ΓL(1,𝔽16)C2312yes—
51C22×C3×AGL(1,𝔽5)C2312yes—
52C22×C3×AGL(1,𝔽5)C2312yes—
53C2×D3×AGL(1,𝔽5)—24no—
54C2×D3×AGL(1,𝔽5)—42no—
55C2×D3×AGL(1,𝔽5)—42no—
56C2×D60C2×C411yescharacteristic
57C2×Dic30C2×C411yescharacteristic, complemented
58C2×C5×D12C2×C411yescharacteristic
59C2×C5×Dic6C2×C411yescharacteristic, complemented
60C2×C3×C4×D5C2311yescharacteristic
61C2×C3×C4×D5C2311yescharacteristic
62C2×C3×C4×D5C2311yescharacteristic
63C2×#1204C2×C412yescomplemented
64C2×#1203C2×C412yes—
65C2×D5×Dic3C2312yes—
66D5×D12—42no—
67D5×Dic6—42no—
68C3×C4⋊AGL(1,𝔽5)—24no—
69C3×C4×AGL(1,𝔽5)—41no—
70C3×C4×AGL(1,𝔽5)—41no—
71Dic3⋊AGL(1,𝔽5)—42no—
72(C2×D3)⋊AGL(1,𝔽5)—24no—
73(C2×D3)⋊AGL(1,𝔽5)—42no—
74(C2×D3)⋊AGL(1,𝔽5)—42no—
75Dic3×AGL(1,𝔽5)—42no—
76C3×C42×C5C2×C411yescharacteristic, complemented
77#6714C2×C412yescomplemented
78#6714C2×C412yescomplemented
79C5×(C2×D3)⋊C4C2×C412yescomplemented
80C5×(C2×D3)⋊C4C2×C412yescomplemented
81C3×C4×Dic5C2×C411yescharacteristic, complemented
82C3×C4×Dic5C2×C411yescharacteristic, complemented
83C3×C4×Dic5C2×C411yescharacteristic, complemented
84#6667C2×C412yescomplemented
85#6667C2×C412yescomplemented
86(C2×D3)⋊Dic5C2×C412yescomplemented
87(C2×D3)⋊Dic5C2×C412yescomplemented
88C2×#875—51no—
89C3×C4×C4⋊C4—51no—
90#4990—52no—
91#4989—52no—
92#4940—52no—
93C4×(C2×D3)⋊C4—52no—
94#4937—51no—
95#4665—52no—
96#4646—52no—
97C23×AGL(1,𝔽5)—32no—
98C2×Q8×D5—31no—
99C2×D4×D5—31no—
100C2×C22⋊AGL(1,𝔽5)—32no—
101C2×C22⋊AGL(1,𝔽5)—32no—
102C2×C22⋊AGL(1,𝔽5)—32no—
103C2×C4⋊AGL(1,𝔽5)—32no—
104C2×C4⋊AGL(1,𝔽5)C2×D312yes—
105C2×C4×AGL(1,𝔽5)—32no—
106C2×C4×AGL(1,𝔽5)C2×D311yescharacteristic
107C2×C4×AGL(1,𝔽5)C2×D311yescharacteristic
108C5×#124—31no—
109#4093—31no—
110#4082—31no—
111#4031—32no—
112#4031—32no—
113D5×C22⋊C4—32no—
114D5×C22⋊C4—32no—
115#4021—31no—
116C42×D5C2×D311yescharacteristic
117(C2×AGL(1,𝔽5))⋊C4—32no—
118(C2×AGL(1,𝔽5))⋊C4—32no—
119(C2×AGL(1,𝔽5))⋊C4—32no—
120(C2×AGL(1,𝔽5))⋊C4—31no—
121(C2×AGL(1,𝔽5))⋊C4—31no—
122(C2×AGL(1,𝔽5))⋊C4—32no—
123(C2×AGL(1,𝔽5))⋊C4C2×D312yes—
124#2337—151noSylow
125C22×D15C22×C412yes—
126C22×C5×D3C22×C412yes—
127C22×C3×D5C2411yescharacteristic
128C2×D3×D5—22no—
129C2×D3×D5—22no—
130C2×D3×D5—22no—
131C2×D3×D5—22no—
132C2×D3×D5—22no—
133C2×D3×D5—22no—
134C2×ΓL(1,𝔽16)—22no—
135C2×ΓL(1,𝔽16)—22no—
136C2×ΓL(1,𝔽16)—22no—
137C2×ΓL(1,𝔽16)—22no—
138C2×ΓL(1,𝔽16)—22no—
139C2×ΓL(1,𝔽16)—22no—
140C2×C3×AGL(1,𝔽5)—22no—
141C2×C3×AGL(1,𝔽5)—22no—
142C2×C3×AGL(1,𝔽5)—22no—
143C2×C3×AGL(1,𝔽5)—22no—
144C2×C3×AGL(1,𝔽5)—22no—
145C2×C3×AGL(1,𝔽5)#4114yes—
146D3×AGL(1,𝔽5)—48no—
147C2×C3×C4×C5C22×C411yescharacteristic
148C2×C3×C4×C5C22×C411yescharacteristic
149C2×C3×C4×C5C22×C411yescharacteristic
150C2×Dic15C22×C412yes—
151D60—41no—
152Dic30—41no—
153C2×C5×Dic3C22×C412yes—
154C5×D12—41no—
155C5×Dic6—41no—
156C2×C3×Dic5C22×C411yescharacteristic
157C2×C3×Dic5C22×C411yescharacteristic
158C2×C3×Dic5C22×C411yescharacteristic
159C3×C4×D5—22no—
160C3×C4×D5—21no—
161C3×C4×D5—22no—
162C3×C4×D5—21no—
163#1204—42no—
164#1203—42no—
165D5×Dic3—22no—
166D5×Dic3—22no—
167C22×D12—51no—
168C22×C4×D3—52no—
169C22×Dic6—51no—
170C2×C3×C4⋊C4—52no—
171C2×C3×C42—51no—
172C2×C3×C42—51no—
173C2×C3×C42—51no—
174C2×(C2×D3)⋊C4—52no—
175C2×(C2×D3)⋊C4—52no—
176C2×(C2×D3)⋊C4—52no—
177C2×(C2×D3)⋊C4—52no—
178C2×(C2×D3)⋊C4—52no—
179C2×Dic3⋊C4—52no—
180C2×C4×Dic3—52no—
181#875—51no—
182#875—51no—
183#875—51no—
184#875—52no—
185#875—52no—
186#875AGL(1,𝔽5)11yescharacteristic, complemented
187C3×#95—52no—
188C3⋊#95—52no—
189C3⋊#95—52no—
190C3⋊#95—52no—
191C3⋊#95—52no—
192C3⋊#95—51no—
193C3⋊#95—51no—
194C23×D5—32no—
195C22×AGL(1,𝔽5)—32no—
196C22×AGL(1,𝔽5)—32no—
197C22×AGL(1,𝔽5)—64no—
198C22×AGL(1,𝔽5)—122no—
199C22×AGL(1,𝔽5)—122no—
200C22×AGL(1,𝔽5)C22×D312yes—
201C22×AGL(1,𝔽5)C22×D312yes—
202C2×C5×Q8—31no—
203C2×C5×D4—31no—
204C2×C22⋊D5—32no—
205Q8×D5—122no—
206D4×D5—122no—
207C2×D20—31no—
208C2×C4×D5—32no—
209C2×C4×D5C22×D311yescharacteristic
210C2×C4×D5C22×D311yescharacteristic
211C2×C4×D5C22×D311yescharacteristic
212C2×Dic10—31no—
213C2×Dic10—32no—
214C22⋊AGL(1,𝔽5)—64no—
215C22⋊AGL(1,𝔽5)—122no—
216C22⋊AGL(1,𝔽5)—122no—
217C4⋊AGL(1,𝔽5)—24no—
218C4⋊AGL(1,𝔽5)—122no—
219C4×AGL(1,𝔽5)—41no—
220C4×AGL(1,𝔽5)—41no—
221C4×AGL(1,𝔽5)—122no—
222C5×C22⋊C4—32no—
223C5×C22⋊C4—32no—
224C42×C5C4×D311yescharacteristic, complemented
225C22⋊Dic5—32no—
226C22⋊Dic5—32no—
227#685—32no—
228#685—32no—
229#685—32no—
230#685—32no—
231C4×Dic5C4×D311yescharacteristic, complemented
232C4×Dic5C4×D311yescharacteristic, complemented
233C4×Dic5C4×D311yescharacteristic, complemented
234C2×#124—151no—
235#391—152no—
236#388—152no—
237#388—152no—
238#386—152no—
239#385—152no—
240#383—151no—
241C4×C4⋊C4—51no—
242C4×C22⋊C4—152no—
243C22×C3×C5C23×C411yescharacteristic
244C2×D15—22no—
245C2×D15—22no—
246C2×D15—22no—
247C2×C5×D3—22no—
248C2×C5×D3—22no—
249C2×C5×D3—22no—
250C2×C3×D5C2×#4112yes—
251C2×C3×D5H(5,𝔽2)11yescharacteristic
252C2×C3×D5H(5,𝔽2)12yes—
253C2×C3×D52−1+411yescharacteristic
254D3×D5—42no—
255D3×D5—42no—
256D3×D5—42no—
257D3×D5—42no—
258ΓL(1,𝔽16)—42no—
259ΓL(1,𝔽16)—42no—
260C3×AGL(1,𝔽5)—24no—
261C3×AGL(1,𝔽5)—42no—
262C3×C4×C5—21no—
263C3×C4×C5—21no—
264C3×C4×C5—21no—
265Dic15—22no—
266C3×Dic5—21no—
267C3×Dic5—21no—
268C3×Dic5—21no—
269C5×Dic3—22no—
270C23×D3—52no—
271C22×C3×C4—52no—
272C22×C3×C4—51no—
273C22×C3×C4—51no—
274C22×C3×C4—51no—
275C22×C3×C4—52no—
276C22×Dic3—52no—
277C22×Dic3—52no—
278C22×Dic3—52no—
279C2×D12—52no—
280C2×D12—51no—
281C2×D12—202no—
282C2×D12C2×AGL(1,𝔽5)11yescharacteristic
283C2×C4×D3—104no—
284C2×C4×D3—202no—
285C2×C4×D3—202no—
286C2×Dic6—51no—
287C2×Dic6—52no—
288C2×Dic6—202no—
289C2×Dic6C2×AGL(1,𝔽5)11yescharacteristic, complemented
290C3×C4⋊C4—104no—
291C3×C42—51no—
292C3×C42—51no—
293C3×C42—51no—
294C3×C42—201no—
295C3×C42—201no—
296C3×C42C2×AGL(1,𝔽5)11yescharacteristic, complemented
297(C2×D3)⋊C4—52no—
298(C2×D3)⋊C4—52no—
299(C2×D3)⋊C4—52no—
300(C2×D3)⋊C4—52no—
301(C2×D3)⋊C4—52no—
302(C2×D3)⋊C4—52no—
303(C2×D3)⋊C4—104no—
304(C2×D3)⋊C4—202no—
305(C2×D3)⋊C4—202no—
306(C2×D3)⋊C4C2×AGL(1,𝔽5)12yescomplemented
307(C2×D3)⋊C4C2×AGL(1,𝔽5)12yescomplemented
308Dic3⋊C4—202no—
309C4×Dic3—202no—
310C23×C5—32no—
311C22×D5—32no—
312C22×D5—62no—
313C22×D5—62no—
314C22×D5—62no—
315C22×D5—62no—
316C22×D5—62no—
317C22×D5—62no—
318C22×D5C23×D311yescharacteristic
319C2×AGL(1,𝔽5)—22no—
320C2×AGL(1,𝔽5)—22no—
321C2×AGL(1,𝔽5)—22no—
322C2×AGL(1,𝔽5)—22no—
323C2×AGL(1,𝔽5)—22no—
324C2×AGL(1,𝔽5)—62no—
325C2×AGL(1,𝔽5)—62no—
326C2×AGL(1,𝔽5)—62no—
327C2×AGL(1,𝔽5)—62no—
328C2×AGL(1,𝔽5)—62no—
329C2×AGL(1,𝔽5)—62no—
330C2×AGL(1,𝔽5)—128no—
331C2×AGL(1,𝔽5)#23514yes—
332C5×Q8—121no—
333C5×D4—121no—
334C2×C4×C5—32no—
335C2×C4×C5C2×C4×D311yescharacteristic
336C2×C4×C5C2×C4×D311yescharacteristic
337C2×C4×C5C2×C4×D311yescharacteristic
338C22⋊D5—122no—
339C2×Dic5—32no—
340C2×Dic5C2×C4×D311yescharacteristic
341C2×Dic5C2×C4×D311yescharacteristic
342C2×Dic5C2×C4×D311yescharacteristic
343D20—121no—
344C4×D5—22no—
345C4×D5—21no—
346C4×D5—21no—
347C4×D5—22no—
348C4×D5—62no—
349C4×D5—62no—
350Dic10—122no—
351Dic10—121no—
352C22×Q8—151no—
353C22×D4—151no—
354C23×C4—152no—
355#124—31no—
356#124—152no—
357#124—152no—
358#124—151no—
359#124—151no—
360#124—151no—
361C2×C4⋊C4—52no—
362C2×C4⋊C4—152no—
363C2×C22⋊C4—152no—
364C2×C22⋊C4—152no—
365C2×C22⋊C4—152no—
366C2×C22⋊C4—152no—
367C2×C22⋊C4—152no—
368C2×C42—51no—
369C2×C42—51no—
370C2×C42—51no—
371C2×C42—152no—
372#95—52no—
373#95—152no—
374#95—152no—
375#95—151no—
376#95—152no—
377#95—151no—
378#95—152no—
379C2×C3×C5C4×#4111yescharacteristic
380C2×C3×C5#51811yescharacteristic
381C2×C3×C5#52011yescharacteristic
382D15—42no—
383C3×D5#53812yes—
384C3×D5#54212yes—
385C5×D3—42no—
386C23×C3—51no—
387C22×D3—52no—
388C22×D3—102no—
389C22×D3—102no—
390C22×D3—102no—
391C22×D3—102no—
392C22×D3—102no—
393C22×D3—102no—
394C22×D3C22×AGL(1,𝔽5)12yes—
395C2×C3×C4—54no—
396C2×C3×C4—51no—
397C2×C3×C4—51no—
398C2×C3×C4—51no—
399C2×C3×C4—101no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—101no—
403C2×C3×C4—102no—
404C2×C3×C4—102no—
405C2×C3×C4—102no—
406C2×C3×C4—102no—
407C2×C3×C4—102no—
408C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
409C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
410C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
411C2×Dic3—52no—
412C2×Dic3—102no—
413C2×Dic3—102no—
414C2×Dic3—102no—
415C2×Dic3—102no—
416C2×Dic3—102no—
417C2×Dic3—102no—
418C2×Dic3—102no—
419C2×Dic3—102no—
420C2×Dic3C22×AGL(1,𝔽5)12yes—
421D12—41no—
422D12—201no—
423D12—202no—
424C4×D3—208no—
425Dic6—41no—
426Dic6—202no—
427Dic6—201no—
428C22×C5—62no—
429C22×C5—62no—
430C22×C5—62no—
431C22×C5C22×C4×D311yescharacteristic
432C2×D5—62no—
433C2×D5—62no—
434C2×D5—62no—
435C2×D5—122no—
436C2×D5—122no—
437C2×D5—122no—
438C2×D5—122no—
439C2×D5C2×#23512yes—
440C2×D5#100411yescharacteristic
441C2×D5#100711yescharacteristic
442C2×D5#100912yes—
443AGL(1,𝔽5)—24no—
444AGL(1,𝔽5)—42no—
445AGL(1,𝔽5)—122no—
446AGL(1,𝔽5)—122no—
447C4×C5—21no—
448C4×C5—21no—
449C4×C5—21no—
450C4×C5—62no—
451Dic5—21no—
452Dic5—21no—
453Dic5—21no—
454Dic5—62no—
455C24—152no—
456C2×Q8—31no—
457C2×Q8—152no—
458C2×Q8—151no—
459C2×Q8—602no—
460C2×D4—31no—
461C2×D4—152no—
462C2×D4—151no—
463C2×D4—602no—
464C22×C4—52no—
465C22×C4—51no—
466C22×C4—51no—
467C22×C4—51no—
468C22×C4—52no—
469C22×C4—152no—
470C22×C4—152no—
471C22×C4—152no—
472C22×C4—304no—
473C22×C4—602no—
474C22×C4—602no—
475C4⋊C4—104no—
476C4⋊C4—602no—
477C22⋊C4—32no—
478C22⋊C4—32no—
479C22⋊C4—152no—
480C22⋊C4—152no—
481C22⋊C4—152no—
482C22⋊C4—152no—
483C22⋊C4—152no—
484C22⋊C4—152no—
485C22⋊C4—304no—
486C22⋊C4—602no—
487C22⋊C4—602no—
488C42—51no—
489C42—51no—
490C42—51no—
491C42—201no—
492C42—201no—
493C42—602no—
494C42D3×AGL(1,𝔽5)11yescharacteristic, complemented
495C3×C5#233711yescharacteristic, complemented, Hall
496C22×C3—52no—
497C22×C3—52no—
498C22×C3—51no—
499C22×C3—51no—
500C22×C3C23×AGL(1,𝔽5)11yescharacteristic
501C2×D3—22no—
502C2×D3—22no—
503C2×D3—22no—
504C2×D3—102no—
505C2×D3—102no—
506C2×D3—102no—
507C2×D3—202no—
508C2×D3—202no—
509C2×D3—202no—
510C2×D3—202no—
511C3×C4—21no—
512C3×C4—21no—
513C3×C4—21no—
514C3×C4—104no—
515C3×C4—101no—
516C3×C4—101no—
517C3×C4—101no—
518C3×C4—202no—
519Dic3—22no—
520Dic3—102no—
521Dic3—202no—
522Dic3—202no—
523C2×C5—122no—
524C2×C5C4×#23511yescharacteristic
525C2×C5#550411yescharacteristic
526C2×C5#552111yescharacteristic
527D5—122no—
528D5#556012yes—
529D5#558212yes—
530C23—32no—
531C23—51no—
532C23—152no—
533C23—302no—
534C23—302no—
535C23—302no—
536C23—302no—
537C23—302no—
538C23—302no—
539Q8—121no—
540Q8—601no—
541Q8—602no—
542D4—121no—
543D4—601no—
544D4—602no—
545C2×C4—32no—
546C2×C4—54no—
547C2×C4—51no—
548C2×C4—51no—
549C2×C4—51no—
550C2×C4—101no—
551C2×C4—102no—
552C2×C4—102no—
553C2×C4—101no—
554C2×C4—102no—
555C2×C4—102no—
556C2×C4—102no—
557C2×C4—102no—
558C2×C4—102no—
559C2×C4—152no—
560C2×C4—302no—
561C2×C4—302no—
562C2×C4—302no—
563C2×C4—302no—
564C2×C4—302no—
565C2×C4—302no—
566C2×C4—302no—
567C2×C4—302no—
568C2×C4—608no—
569C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
570C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
571C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
572C2×C3—52no—
573C2×C3—52no—
574C2×C3#6625811yescharacteristic
575C2×C3#41×AGL(1,𝔽5)11yescharacteristic
576C2×C3#6626611yescharacteristic
577D3—42no—
578D3—202no—
579C5#7363211yescharacteristic, complemented, Sylow
580C22—52no—
581C22—51no—
582C22—51no—
583C22—52no—
584C22—62no—
585C22—62no—
586C22—62no—
587C22—302no—
588C22—302no—
589C22—302no—
590C22—602no—
591C22—602no—
592C22—602no—
593C22—602no—
594C22C22×D3×AGL(1,𝔽5)11yescharacteristic
595C4—21no—
596C4—21no—
597C4—21no—
598C4—62no—
599C4—104no—
600C4—101no—
601C4—101no—
602C4—101no—
603C4—202no—
604C4—302no—
605C4—602no—
606C4—602no—
607C3#1061732511yescharacteristic, complemented, Sylow
608C2—52no—
609C2—52no—
610C2—122no—
611C2—602no—
612C2AGL(1,𝔽5)×#23511yescharacteristic
613C2#1175683611yescharacteristic
614C2#1175683711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC3×C42×C5C2×C4
prime radicalC2×D5×D12C22
cosocleC22×C3×D5C24
hypercenterC42D3×AGL(1,𝔽5)
hypocenterC3×C5#2337
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
2. #11752349C2semidirect
3. C3×C4×C4⋊AGL(1,𝔽5)C2semidirect
5. #11751932C2semidirect
6. AGL(1,𝔽5)×(C2×D3)⋊C4C2semidirect
7. #11751849C2semidirect
8. #11751842C2semidirect
9. #11751836C2semidirect
22. #91764C4semidirect
23. C5×#875C4semidirect
27. #91375C4semidirect
28. #91373C4semidirect
29. #91350C4semidirect
30. #91350C4semidirect
47. C4×C4⋊AGL(1,𝔽5)D3semidirect
57. C2×Dic30C2×C4semidirect
59. C2×C5×Dic6C2×C4semidirect
63. C2×#1204C2×C4semidirect
76. C3×C42×C5C2×C4semidirect
77. #6714C2×C4semidirect
78. #6714C2×C4semidirect
79. C5×(C2×D3)⋊C4C2×C4semidirect
80. C5×(C2×D3)⋊C4C2×C4semidirect
81. C3×C4×Dic5C2×C4semidirect
82. C3×C4×Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. #6667C2×C4semidirect
85. #6667C2×C4semidirect
86. (C2×D3)⋊Dic5C2×C4semidirect
87. (C2×D3)⋊Dic5C2×C4semidirect
186. #875AGL(1,𝔽5)semidirect
224. C42×C5C4×D3semidirect
231. C4×Dic5C4×D3semidirect
232. C4×Dic5C4×D3semidirect
233. C4×Dic5C4×D3semidirect
289. C2×Dic6C2×AGL(1,𝔽5)semidirect
296. C3×C42C2×AGL(1,𝔽5)semidirect
306. (C2×D3)⋊C4C2×AGL(1,𝔽5)semidirect
307. (C2×D3)⋊C4C2×AGL(1,𝔽5)semidirect
494. C42D3×AGL(1,𝔽5)semidirect
495. C3×C5#2337semidirect
579. C5#73632semidirect
607. C3#10617325semidirect

Maximal subgroups

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

subgroupindex
D5×#8752
#117523492
C3×C4×C4⋊AGL(1,𝔽5)2
#117519332
#117519322
AGL(1,𝔽5)×(C2×D3)⋊C42
#117518492
#117518422
#117518362
#106173253
#736325