Finite Group Databasebeta

← #14330206

Subgroups — #14330206

Order 1920.

1120 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#875C211yesmaximal, characteristic
2#11752345C211yesmaximal, characteristic, complemented
3C3×#65686C211yesmaximal, characteristic, complemented
4#11751933C212yesmaximal
5#11751931C212yesmaximal, complemented
6AGL(1,𝔽5)×(C2×D3)⋊C4C212yesmaximal, complemented
7#11751856C212yesmaximal, complemented
8#11751849C212yesmaximal, complemented
9#11751842C212yesmaximal, complemented
10#10617327—31nomaximal, Hall
11C22×D3×AGL(1,𝔽5)C2212yes—
12C2×D5×D12C2211yescharacteristic
13C2×D5×Dic6C2211yescharacteristic
14C2×C4×ΓL(1,𝔽16)C2212yes—
15C2×C3×C4×AGL(1,𝔽5)C2212yes—
16C2×Dic3⋊AGL(1,𝔽5)C2212yes—
17C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
18C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
19C2×(C2×D3)⋊AGL(1,𝔽5)C2212yes—
20C2×Dic3×AGL(1,𝔽5)C2212yes—
21#91764C411yescharacteristic, complemented
22C5×#875C411yescharacteristic, complemented
23C3×C42×D5C2211yescharacteristic
24D5×(C2×D3)⋊C4C2212yes—
25D5×(C2×D3)⋊C4C2212yes—
26#91375C411yescharacteristic, complemented
27#91373C411yescharacteristic, complemented
28#91350C412yescomplemented
29#91350C412yescomplemented
30#91235C2212yes—
31#91235C2211yescharacteristic
32#91235C2211yescharacteristic
33C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
34C3×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
35C3×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
36(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
37(C2×AGL(1,𝔽5))⋊Dic3C2212yes—
38#73395—51nomaximal, Hall
39D5×#124—31no—
40(C2×AGL(1,𝔽5))⋊Q8—32no—
41#65779—32no—
42#65700—32no—
43#65700—32no—
44C22⋊C4×AGL(1,𝔽5)—32no—
45C22⋊C4×AGL(1,𝔽5)—32no—
46#65686—31no—
47#65686D311yescharacteristic, 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)—24no—
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—41no—
67D5×D12—41no—
68D5×Dic6—41no—
69D5×Dic6—41no—
70C4×ΓL(1,𝔽16)—24no—
71C3×C4×AGL(1,𝔽5)—24no—
72Dic3⋊AGL(1,𝔽5)—42no—
73(C2×D3)⋊AGL(1,𝔽5)—24no—
74(C2×D3)⋊AGL(1,𝔽5)—24no—
75(C2×D3)⋊AGL(1,𝔽5)—42no—
76Dic3×AGL(1,𝔽5)—42no—
77C3×C42×C5C2×C411yescharacteristic, complemented
78#6714C2×C412yescomplemented
79#6714C2×C412yescomplemented
80C5×(C2×D3)⋊C4C2×C412yescomplemented
81C5×(C2×D3)⋊C4C2×C412yescomplemented
82C3×C4×Dic5C2×C411yescharacteristic, complemented
83C3×C4×Dic5C2×C411yescharacteristic, complemented
84C3×C4×Dic5C2×C411yescharacteristic, complemented
85#6667C2×C412yescomplemented
86#6667C2×C412yescomplemented
87(C2×D3)⋊Dic5C2×C412yescomplemented
88(C2×D3)⋊Dic5C2×C412yescomplemented
89C2×#875—51no—
90C3×#376—51no—
91#4940—52no—
92C4×(C2×D3)⋊C4—52no—
93#4932—51no—
94#4669—52no—
95#4666—52no—
96#4665—52no—
97#4646—52no—
98C23×AGL(1,𝔽5)—32no—
99C2×Q8×D5—31no—
100C2×D4×D5—31no—
101C2×C22⋊AGL(1,𝔽5)—32no—
102C2×C22⋊AGL(1,𝔽5)—32no—
103C2×C22⋊AGL(1,𝔽5)—32no—
104C2×C4⋊AGL(1,𝔽5)—32no—
105C2×C4×AGL(1,𝔽5)—32no—
106C2×C4×AGL(1,𝔽5)—32no—
107C2×C4×AGL(1,𝔽5)C2×D312yes—
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—31no—
120(C2×AGL(1,𝔽5))⋊C4—31no—
121(C2×AGL(1,𝔽5))⋊C4—32no—
122(C2×AGL(1,𝔽5))⋊C4C2×D311yescharacteristic
123(C2×AGL(1,𝔽5))⋊C4C2×D311yescharacteristic
124(C2×AGL(1,𝔽5))⋊C4C2×D312yes—
125#2372—151noSylow
126C22×D15C22×C412yes—
127C22×C5×D3C22×C412yes—
128C22×C3×D5C2411yescharacteristic
129C2×D3×D5—22no—
130C2×D3×D5—22no—
131C2×D3×D5—22no—
132C2×D3×D5—22no—
133C2×D3×D5—22no—
134C2×D3×D5—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×ΓL(1,𝔽16)#4114yes—
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)—22no—
146C2×C3×AGL(1,𝔽5)#4114yes—
147D3×AGL(1,𝔽5)—48no—
148C2×C3×C4×C5C22×C411yescharacteristic
149C2×C3×C4×C5C22×C411yescharacteristic
150C2×C3×C4×C5C22×C411yescharacteristic
151C2×Dic15C22×C412yes—
152D60—41no—
153Dic30—41no—
154C2×C5×Dic3C22×C412yes—
155C5×D12—41no—
156C5×Dic6—41no—
157C2×C3×Dic5C22×C411yescharacteristic
158C2×C3×Dic5C22×C411yescharacteristic
159C2×C3×Dic5C22×C411yescharacteristic
160C3×C4×D5—22no—
161C3×C4×D5—22no—
162C3×C4×D5—21no—
163C3×C4×D5—21no—
164#1204—42no—
165#1203—42no—
166D5×Dic3—22no—
167D5×Dic3—22no—
168C22×D12—51no—
169C22×C4×D3—52no—
170C22×Dic6—51no—
171C2×C3×C42—51no—
172C2×C3×C42—52no—
173C2×(C2×D3)⋊C4—52no—
174C2×(C2×D3)⋊C4—52no—
175C2×(C2×D3)⋊C4—52no—
176C2×(C2×D3)⋊C4—52no—
177C2×(C2×D3)⋊C4—52no—
178C2×Dic3⋊C4—52no—
179C2×C4×Dic3—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—51no—
189C3×#95—51no—
190C3⋊#95—52no—
191C3⋊#95—52no—
192C3⋊#95—52no—
193C3⋊#95—51no—
194C3⋊#95—51no—
195C23×D5—32no—
196C22×AGL(1,𝔽5)—32no—
197C22×AGL(1,𝔽5)—32no—
198C22×AGL(1,𝔽5)—64no—
199C22×AGL(1,𝔽5)—64no—
200C22×AGL(1,𝔽5)—122no—
201C22×AGL(1,𝔽5)C22×D312yes—
202C22×AGL(1,𝔽5)C22×D312yes—
203C2×C5×Q8—31no—
204C2×C5×D4—31no—
205C2×C22⋊D5—32no—
206Q8×D5—121no—
207Q8×D5—121no—
208D4×D5—121no—
209D4×D5—121no—
210C2×D20—31no—
211C2×C4×D5—32no—
212C2×C4×D5C22×D311yescharacteristic
213C2×C4×D5C22×D311yescharacteristic
214C2×C4×D5C22×D311yescharacteristic
215C2×Dic10—31no—
216C2×Dic10—32no—
217C22⋊AGL(1,𝔽5)—64no—
218C22⋊AGL(1,𝔽5)—64no—
219C22⋊AGL(1,𝔽5)—122no—
220C4⋊AGL(1,𝔽5)—122no—
221C4×AGL(1,𝔽5)—24no—
222C4×AGL(1,𝔽5)—64no—
223C4×AGL(1,𝔽5)—122no—
224C5×C22⋊C4—32no—
225C5×C22⋊C4—32no—
226C42×C5C4×D311yescharacteristic, complemented
227C22⋊Dic5—32no—
228C22⋊Dic5—32no—
229#685—32no—
230#685—32no—
231#685—32no—
232#685—32no—
233C4×Dic5C4×D311yescharacteristic, complemented
234C4×Dic5C4×D311yescharacteristic, complemented
235C4×Dic5C4×D311yescharacteristic, complemented
236C2×#124—151no—
237#391—152no—
238#388—152no—
239#388—152no—
240#386—152no—
241C4×C22⋊C4—152no—
242C4×C22⋊C4—152no—
243#376—51no—
244#376—151no—
245C22×C3×C5C23×C411yescharacteristic
246C2×D15—22no—
247C2×D15—22no—
248C2×D15—22no—
249C2×C5×D3—22no—
250C2×C5×D3—22no—
251C2×C5×D3—22no—
252C2×C3×D5C2×#4112yes—
253C2×C3×D5C2×#4112yes—
254C2×C3×D5H(5,𝔽2)11yescharacteristic
255C2×C3×D5H(5,𝔽2)11yescharacteristic
256D3×D5—42no—
257D3×D5—42no—
258D3×D5—42no—
259D3×D5—42no—
260ΓL(1,𝔽16)—24no—
261ΓL(1,𝔽16)—42no—
262C3×AGL(1,𝔽5)—24no—
263C3×AGL(1,𝔽5)—42no—
264C3×C4×C5—21no—
265C3×C4×C5—21no—
266C3×C4×C5—21no—
267Dic15—22no—
268C3×Dic5—21no—
269C3×Dic5—21no—
270C3×Dic5—21no—
271C5×Dic3—22no—
272C23×D3—52no—
273C22×C3×C4—52no—
274C22×C3×C4—51no—
275C22×C3×C4—51no—
276C22×C3×C4—51no—
277C22×C3×C4—52no—
278C22×Dic3—52no—
279C22×Dic3—52no—
280C22×Dic3—52no—
281C2×D12—52no—
282C2×D12—51no—
283C2×D12—201no—
284C2×D12—201no—
285C2×D12C2×AGL(1,𝔽5)11yescharacteristic
286C2×C4×D3—104no—
287C2×C4×D3—104no—
288C2×C4×D3—202no—
289C2×Dic6—51no—
290C2×Dic6—52no—
291C2×Dic6—201no—
292C2×Dic6—201no—
293C2×Dic6C2×AGL(1,𝔽5)11yescharacteristic, complemented
294C3×C42—51no—
295C3×C42—51no—
296C3×C42—51no—
297C3×C42—104no—
298C3×C42C2×AGL(1,𝔽5)11yescharacteristic, complemented
299(C2×D3)⋊C4—52no—
300(C2×D3)⋊C4—52no—
301(C2×D3)⋊C4—52no—
302(C2×D3)⋊C4—52no—
303(C2×D3)⋊C4—52no—
304(C2×D3)⋊C4—52no—
305(C2×D3)⋊C4—104no—
306(C2×D3)⋊C4—104no—
307(C2×D3)⋊C4—202no—
308(C2×D3)⋊C4C2×AGL(1,𝔽5)12yescomplemented
309(C2×D3)⋊C4C2×AGL(1,𝔽5)12yescomplemented
310Dic3⋊C4—202no—
311C4×Dic3—104no—
312C4×Dic3—202no—
313C23×C5—32no—
314C22×D5—32no—
315C22×D5—62no—
316C22×D5—62no—
317C22×D5—62no—
318C22×D5—62no—
319C22×D5—62no—
320C22×D5—62no—
321C22×D5C23×D311yescharacteristic
322C2×AGL(1,𝔽5)—22no—
323C2×AGL(1,𝔽5)—22no—
324C2×AGL(1,𝔽5)—22no—
325C2×AGL(1,𝔽5)—22no—
326C2×AGL(1,𝔽5)—22no—
327C2×AGL(1,𝔽5)—34no—
328C2×AGL(1,𝔽5)—62no—
329C2×AGL(1,𝔽5)—62no—
330C2×AGL(1,𝔽5)—62no—
331C2×AGL(1,𝔽5)—62no—
332C2×AGL(1,𝔽5)—62no—
333C2×AGL(1,𝔽5)—128no—
334C2×AGL(1,𝔽5)#23514yes—
335C5×Q8—121no—
336C5×D4—121no—
337C2×C4×C5—32no—
338C2×C4×C5C2×C4×D311yescharacteristic
339C2×C4×C5C2×C4×D311yescharacteristic
340C2×C4×C5C2×C4×D311yescharacteristic
341C22⋊D5—122no—
342C2×Dic5—32no—
343C2×Dic5C2×C4×D311yescharacteristic
344C2×Dic5C2×C4×D311yescharacteristic
345C2×Dic5C2×C4×D311yescharacteristic
346D20—121no—
347C4×D5—22no—
348C4×D5—22no—
349C4×D5—21no—
350C4×D5—21no—
351C4×D5—62no—
352C4×D5—62no—
353Dic10—122no—
354Dic10—121no—
355C22×Q8—151no—
356C22×D4—151no—
357C23×C4—152no—
358#124—31no—
359#124—152no—
360#124—152no—
361#124—151no—
362#124—151no—
363#124—151no—
364C2×C4⋊C4—152no—
365C2×C22⋊C4—152no—
366C2×C22⋊C4—152no—
367C2×C22⋊C4—152no—
368C2×C22⋊C4—152no—
369C2×C22⋊C4—152no—
370C2×C42—51no—
371C2×C42—52no—
372C2×C42—152no—
373C2×C42—152no—
374#95—51no—
375#95—52no—
376#95—51no—
377#95—151no—
378#95—152no—
379#95—151no—
380#95—152no—
381#95—152no—
382C2×C3×C5C4×#4111yescharacteristic
383C2×C3×C5C4×#4111yescharacteristic
384C2×C3×C5#51811yescharacteristic
385D15—42no—
386C3×D5#55112yes—
387C3×D5#55512yes—
388C5×D3—42no—
389C23×C3—51no—
390C22×D3—52no—
391C22×D3—102no—
392C22×D3—102no—
393C22×D3—102no—
394C22×D3—102no—
395C22×D3—102no—
396C22×D3—102no—
397C22×D3C22×AGL(1,𝔽5)12yes—
398C2×C3×C4—54no—
399C2×C3×C4—51no—
400C2×C3×C4—51no—
401C2×C3×C4—51no—
402C2×C3×C4—102no—
403C2×C3×C4—102no—
404C2×C3×C4—101no—
405C2×C3×C4—101no—
406C2×C3×C4—102no—
407C2×C3×C4—102no—
408C2×C3×C4—102no—
409C2×C3×C4—102no—
410C2×C3×C4—102no—
411C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
412C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
413C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
414C2×Dic3—54no—
415C2×Dic3—52no—
416C2×Dic3—102no—
417C2×Dic3—102no—
418C2×Dic3—102no—
419C2×Dic3—102no—
420C2×Dic3—102no—
421C2×Dic3—102no—
422C2×Dic3—102no—
423C2×Dic3C22×AGL(1,𝔽5)12yes—
424D12—41no—
425D12—201no—
426D12—202no—
427C4×D3—208no—
428Dic6—41no—
429Dic6—202no—
430Dic6—201no—
431C22×C5—62no—
432C22×C5—62no—
433C22×C5—62no—
434C22×C5C22×C4×D311yescharacteristic
435C2×D5—62no—
436C2×D5—62no—
437C2×D5—62no—
438C2×D5—122no—
439C2×D5—122no—
440C2×D5—122no—
441C2×D5—122no—
442C2×D5C2×#23512yes—
443C2×D5D3×#4112yes—
444C2×D5#100911yescharacteristic
445C2×D5#100911yescharacteristic
446AGL(1,𝔽5)—24no—
447AGL(1,𝔽5)—42no—
448AGL(1,𝔽5)—64no—
449AGL(1,𝔽5)—122no—
450C4×C5—21no—
451C4×C5—21no—
452C4×C5—21no—
453C4×C5—62no—
454Dic5—21no—
455Dic5—21no—
456Dic5—21no—
457Dic5—62no—
458C24—152no—
459C2×Q8—31no—
460C2×Q8—152no—
461C2×Q8—151no—
462C2×Q8—601no—
463C2×Q8—601no—
464C2×D4—31no—
465C2×D4—152no—
466C2×D4—151no—
467C2×D4—601no—
468C2×D4—601no—
469C22×C4—52no—
470C22×C4—51no—
471C22×C4—51no—
472C22×C4—51no—
473C22×C4—52no—
474C22×C4—152no—
475C22×C4—152no—
476C22×C4—152no—
477C22×C4—304no—
478C22×C4—304no—
479C22×C4—602no—
480C4⋊C4—602no—
481C22⋊C4—32no—
482C22⋊C4—32no—
483C22⋊C4—152no—
484C22⋊C4—152no—
485C22⋊C4—152no—
486C22⋊C4—152no—
487C22⋊C4—152no—
488C22⋊C4—152no—
489C22⋊C4—304no—
490C22⋊C4—304no—
491C22⋊C4—602no—
492C42—51no—
493C42—51no—
494C42—51no—
495C42—104no—
496C42—304no—
497C42—602no—
498C42D3×AGL(1,𝔽5)11yescharacteristic, complemented
499C3×C5#237211yescharacteristic, complemented, Hall
500C22×C3—51no—
501C22×C3—51no—
502C22×C3—52no—
503C22×C3—52no—
504C22×C3C23×AGL(1,𝔽5)11yescharacteristic
505C2×D3—22no—
506C2×D3—22no—
507C2×D3—22no—
508C2×D3—102no—
509C2×D3—102no—
510C2×D3—102no—
511C2×D3—202no—
512C2×D3—202no—
513C2×D3—202no—
514C2×D3—202no—
515C3×C4—21no—
516C3×C4—21no—
517C3×C4—21no—
518C3×C4—104no—
519C3×C4—101no—
520C3×C4—101no—
521C3×C4—101no—
522C3×C4—202no—
523Dic3—22no—
524Dic3—104no—
525Dic3—102no—
526Dic3—202no—
527C2×C5—122no—
528C2×C5C4×#23511yescharacteristic
529C2×C5#552111yescharacteristic
530C2×C5#552211yescharacteristic
531D5—122no—
532D5#552712yes—
533D5#553212yes—
534C23—32no—
535C23—51no—
536C23—152no—
537C23—302no—
538C23—302no—
539C23—302no—
540C23—302no—
541C23—302no—
542C23—302no—
543Q8—121no—
544Q8—601no—
545Q8—602no—
546D4—121no—
547D4—601no—
548D4—602no—
549C2×C4—32no—
550C2×C4—54no—
551C2×C4—51no—
552C2×C4—51no—
553C2×C4—51no—
554C2×C4—102no—
555C2×C4—102no—
556C2×C4—101no—
557C2×C4—101no—
558C2×C4—102no—
559C2×C4—102no—
560C2×C4—102no—
561C2×C4—102no—
562C2×C4—102no—
563C2×C4—154no—
564C2×C4—152no—
565C2×C4—302no—
566C2×C4—302no—
567C2×C4—302no—
568C2×C4—302no—
569C2×C4—302no—
570C2×C4—302no—
571C2×C4—302no—
572C2×C4—608no—
573C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
574C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
575C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
576C2×C3—52no—
577C2×C3—52no—
578C2×C3#6625811yescharacteristic
579C2×C3#41×AGL(1,𝔽5)11yescharacteristic
580C2×C3#41×AGL(1,𝔽5)11yescharacteristic
581D3—42no—
582D3—202no—
583C5#7339511yescharacteristic, complemented, Sylow
584C22—52no—
585C22—52no—
586C22—51no—
587C22—51no—
588C22—62no—
589C22—62no—
590C22—62no—
591C22—302no—
592C22—302no—
593C22—302no—
594C22—602no—
595C22—602no—
596C22—602no—
597C22—602no—
598C22C22×D3×AGL(1,𝔽5)11yescharacteristic
599C4—21no—
600C4—21no—
601C4—21no—
602C4—62no—
603C4—104no—
604C4—101no—
605C4—101no—
606C4—101no—
607C4—202no—
608C4—304no—
609C4—302no—
610C4—602no—
611C3#1061732711yescharacteristic, complemented, Sylow
612C2—52no—
613C2—52no—
614C2—122no—
615C2—602no—
616C2AGL(1,𝔽5)×#23511yescharacteristic
617C2#1175683511yescharacteristic
618C2#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#2372
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
2. #11752345C2semidirect
3. C3×#65686C2semidirect
5. #11751931C2semidirect
6. AGL(1,𝔽5)×(C2×D3)⋊C4C2semidirect
7. #11751856C2semidirect
8. #11751849C2semidirect
9. #11751842C2semidirect
21. #91764C4semidirect
22. C5×#875C4semidirect
26. #91375C4semidirect
27. #91373C4semidirect
28. #91350C4semidirect
29. #91350C4semidirect
47. #65686D3semidirect
57. C2×Dic30C2×C4semidirect
59. C2×C5×Dic6C2×C4semidirect
63. C2×#1204C2×C4semidirect
77. C3×C42×C5C2×C4semidirect
78. #6714C2×C4semidirect
79. #6714C2×C4semidirect
80. C5×(C2×D3)⋊C4C2×C4semidirect
81. C5×(C2×D3)⋊C4C2×C4semidirect
82. C3×C4×Dic5C2×C4semidirect
83. C3×C4×Dic5C2×C4semidirect
84. C3×C4×Dic5C2×C4semidirect
85. #6667C2×C4semidirect
86. #6667C2×C4semidirect
87. (C2×D3)⋊Dic5C2×C4semidirect
88. (C2×D3)⋊Dic5C2×C4semidirect
186. #875AGL(1,𝔽5)semidirect
226. C42×C5C4×D3semidirect
233. C4×Dic5C4×D3semidirect
234. C4×Dic5C4×D3semidirect
235. C4×Dic5C4×D3semidirect
293. C2×Dic6C2×AGL(1,𝔽5)semidirect
298. C3×C42C2×AGL(1,𝔽5)semidirect
308. (C2×D3)⋊C4C2×AGL(1,𝔽5)semidirect
309. (C2×D3)⋊C4C2×AGL(1,𝔽5)semidirect
498. C42D3×AGL(1,𝔽5)semidirect
499. C3×C5#2372semidirect
583. C5#73395semidirect
611. C3#10617327semidirect

Maximal subgroups

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

subgroupindex
D5×#8752
#117523452
C3×#656862
#117519332
#117519312
AGL(1,𝔽5)×(C2×D3)⋊C42
#117518562
#117518492
#117518422
#106173273
#733955