Finite Group Databasebeta

← C3×C5×#2638 #14275672

Subgroups — C3×C5×#2638 #14275672

Order 1920.

1040 conjugacy classes of subgroups.

The subgroup lattice has 556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×C3×C4×C5×D4C211yesmaximal, characteristic
3C3×C5×#398C211yesmaximal, characteristic, complemented
4C3×C5×#397C211yesmaximal, characteristic, complemented
5C3×C5×#397C212yesmaximal, complemented
6C3×C5×#395C211yesmaximal, characteristic, complemented
7C3×C5×#394C212yesmaximal
8C3×C5×#393C211yesmaximal, characteristic, complemented
9C3×C5×#387C212yesmaximal, complemented
10C3×C5×#385C212yesmaximal, complemented
11C3×C5×#381C211yesmaximal, characteristic, complemented
12C5×#2638C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C23×C3×C4×C5C2211yescharacteristic
17C3×C5×C22⋊Q8—24no—
18C3×C4×C5×D4—24no—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2211yescharacteristic
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2212yes—
27C2×C3×C5×C22⋊C4C2212yes—
28C2×C3×C5×C22⋊C4C2212yes—
29C2×C3×C5×C22⋊C4C2212yes—
30C2×C3×C42×C5C2211yescharacteristic
31C3×C5×#95C2212yes—
32C3×C5×#95C2211yescharacteristic
33C3×C5×#95C2211yescharacteristic
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2638C511yesmaximal, characteristic, direct product factor, Hall
39C2×C5×C22⋊Q8C2×C311yescharacteristic, complemented
40C2×C4×C5×D4C2×C311yescharacteristic
41C5×#398C2×C311yescharacteristic, complemented
42C5×#397C2×C311yescharacteristic, complemented
43C5×#397C2×C312yescomplemented
44C5×#395C2×C311yescharacteristic, complemented
45C5×#394C2×C312yes—
46C5×#393C2×C311yescharacteristic, complemented
47C5×#387C2×C312yescomplemented
48C5×#385C2×C312yescomplemented
49C5×#381C2×C311yescharacteristic, complemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2311yescharacteristic
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8—42no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4—22no—
57C22×C3×C4×C5—22no—
58C22×C3×C4×C5—42no—
59C22×C3×C4×C5—42no—
60C22×C3×C4×C5D414yes—
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2312yes—
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C22×C3×C4×C5C2311yescharacteristic
70C3×C5×C4⋊C4—22no—
71C3×C5×C4⋊C4—22no—
72C3×C5×C4⋊C4—24no—
73C3×C5×C4⋊C4—24no—
74C3×C5×C4⋊C4—42no—
75C3×C5×C22⋊C4—22no—
76C3×C5×C22⋊C4—24no—
77C3×C5×C22⋊C4—24no—
78C3×C5×C22⋊C4—22no—
79C3×C5×C22⋊C4—42no—
80C3×C5×C22⋊C4—42no—
81C3×C42×C5—22no—
82C2×C3×C22⋊Q8C2×C511yescharacteristic, complemented
83C2×C3×C4×D4C2×C511yescharacteristic
84C3×#398C2×C511yescharacteristic, complemented
85C3×#397C2×C511yescharacteristic, complemented
86C3×#397C2×C512yescomplemented
87C3×#395C2×C511yescharacteristic, complemented
88C3×#394C2×C512yes—
89C3×#393C2×C511yescharacteristic, complemented
90C3×#387C2×C512yescomplemented
91C3×#385C2×C512yescomplemented
92C3×#381C2×C511yescharacteristic, complemented
93C22×C5×Q8C22×C311yescharacteristic
94C22×C5×D4C22×C311yescharacteristic
95C23×C4×C5C22×C311yescharacteristic
96C23×C4×C5C22×C311yescharacteristic
97C5×C22⋊Q8—24no—
98C4×C5×D4—24no—
99C2×C5×C4⋊C4C22×C312yes—
100C2×C5×C4⋊C4C22×C312yes—
101C2×C5×C4⋊C4C22×C311yescharacteristic
102C2×C5×C4⋊C4C22×C311yescharacteristic
103C2×C5×C4⋊C4C22×C312yes—
104C2×C5×C22⋊C4C22×C312yes—
105C2×C5×C22⋊C4C22×C311yescharacteristic
106C2×C5×C22⋊C4C22×C312yes—
107C2×C5×C22⋊C4C22×C311yescharacteristic
108C2×C5×C22⋊C4C22×C312yes—
109C2×C5×C22⋊C4C22×C312yes—
110C2×C42×C5C22×C311yescharacteristic
111C5×#95C22×C312yes—
112C5×#95C22×C311yescharacteristic
113C5×#95C22×C311yescharacteristic
114C5×#95C22×C312yes—
115C5×#95C22×C312yes—
116C5×#95C22×C312yes—
117C5×#95C22×C312yes—
118#2638C3×C511yescharacteristic, direct product factor, Sylow
119C23×C3×C5—21no—
120C23×C3×C5—21no—
121C23×C3×C5—21no—
122C23×C3×C5—21no—
123C23×C3×C5—22no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5C2×D412yes—
128C23×C3×C5#4112yes—
129C23×C3×C5C2411yescharacteristic
130C3×C5×Q8—44no—
131C3×C5×D4—28no—
132C2×C3×C4×C5—21no—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—44no—
153C2×C3×C4×C5—44no—
154C2×C3×C4×C5C2×D412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×C3×C4×C5#4112yes—
157C22×C3×Q8C22×C511yescharacteristic
158C22×C3×D4C22×C511yescharacteristic
159C23×C3×C4C22×C511yescharacteristic
160C23×C3×C4C22×C511yescharacteristic
161C3×C22⋊Q8—24no—
162C3×C4×D4—24no—
163C2×C3×C4⋊C4C22×C512yes—
164C2×C3×C4⋊C4C22×C512yes—
165C2×C3×C4⋊C4C22×C511yescharacteristic
166C2×C3×C4⋊C4C22×C511yescharacteristic
167C2×C3×C4⋊C4C22×C512yes—
168C2×C3×C22⋊C4C22×C512yes—
169C2×C3×C22⋊C4C22×C511yescharacteristic
170C2×C3×C22⋊C4C22×C512yes—
171C2×C3×C22⋊C4C22×C511yescharacteristic
172C2×C3×C22⋊C4C22×C512yes—
173C2×C3×C22⋊C4C22×C512yes—
174C2×C3×C42C22×C511yescharacteristic
175C3×#95C22×C512yes—
176C3×#95C22×C511yescharacteristic
177C3×#95C22×C511yescharacteristic
178C3×#95C22×C512yes—
179C3×#95C22×C512yes—
180C3×#95C22×C512yes—
181C3×#95C22×C512yes—
182C24×C5C23×C311yescharacteristic
183C24×C5C23×C311yescharacteristic
184C2×C5×Q8—22no—
185C2×C5×Q8—42no—
186C2×C5×D4—22no—
187C2×C5×D4—22no—
188C2×C5×D4—22no—
189C22×C4×C5—22no—
190C22×C4×C5—42no—
191C22×C4×C5—42no—
192C22×C4×C5C3×D414yes—
193C22×C4×C5C23×C311yescharacteristic
194C22×C4×C5C23×C312yes—
195C22×C4×C5C23×C312yes—
196C22×C4×C5C23×C312yes—
197C22×C4×C5C23×C312yes—
198C22×C4×C5C23×C311yescharacteristic
199C22×C4×C5C23×C311yescharacteristic
200C22×C4×C5C23×C311yescharacteristic
201C22×C4×C5C23×C311yescharacteristic
202C5×C4⋊C4—22no—
203C5×C4⋊C4—22no—
204C5×C4⋊C4—24no—
205C5×C4⋊C4—24no—
206C5×C4⋊C4—42no—
207C5×C22⋊C4—22no—
208C5×C22⋊C4—24no—
209C5×C22⋊C4—24no—
210C5×C22⋊C4—22no—
211C5×C22⋊C4—42no—
212C5×C22⋊C4—42no—
213C42×C5—22no—
214C2×C22⋊Q8C2×C3×C511yescharacteristic, complemented
215C2×C4×D4C2×C3×C511yescharacteristic
216#398C2×C3×C511yescharacteristic, complemented
217#397C2×C3×C511yescharacteristic, complemented
218#397C2×C3×C512yescomplemented
219#395C2×C3×C511yescharacteristic, complemented
220#394C2×C3×C512yes—
221#393C2×C3×C511yescharacteristic, complemented
222#387C2×C3×C512yescomplemented
223#385C2×C3×C512yescomplemented
224#381C2×C3×C511yescharacteristic, complemented
225C22×C3×C5—22no—
226C22×C3×C5—22no—
227C22×C3×C5—22no—
228C22×C3×C5—22no—
229C22×C3×C5—24no—
230C22×C3×C5—41no—
231C22×C3×C5—41no—
232C22×C3×C5—42no—
233C22×C3×C5—42no—
234C22×C3×C5—42no—
235C22×C3×C5C22×D411yescharacteristic
236C22×C3×C5C2×#4111yescharacteristic
237C22×C3×C5C2×#4111yescharacteristic
238C22×C3×C5H(5,𝔽2)12yes—
239C22×C3×C52−1+412yes—
240C3×C4×C5—22no—
241C3×C4×C5—22no—
242C3×C4×C5—22no—
243C3×C4×C5—42no—
244C3×C4×C5—41no—
245C3×C4×C5—42no—
246C3×C4×C5—41no—
247C3×C4×C5—42no—
248C3×C4×C5—42no—
249C24×C3C23×C511yescharacteristic
250C24×C3C23×C511yescharacteristic
251C2×C3×Q8—22no—
252C2×C3×Q8—42no—
253C2×C3×D4—22no—
254C2×C3×D4—22no—
255C2×C3×D4—22no—
256C22×C3×C4—22no—
257C22×C3×C4—42no—
258C22×C3×C4—42no—
259C22×C3×C4C5×D414yes—
260C22×C3×C4C23×C511yescharacteristic
261C22×C3×C4C23×C512yes—
262C22×C3×C4C23×C512yes—
263C22×C3×C4C23×C512yes—
264C22×C3×C4C23×C512yes—
265C22×C3×C4C23×C511yescharacteristic
266C22×C3×C4C23×C511yescharacteristic
267C22×C3×C4C23×C511yescharacteristic
268C22×C3×C4C23×C511yescharacteristic
269C3×C4⋊C4—22no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4—24no—
272C3×C4⋊C4—24no—
273C3×C4⋊C4—42no—
274C3×C22⋊C4—22no—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—22no—
278C3×C22⋊C4—42no—
279C3×C22⋊C4—42no—
280C3×C42—22no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5—21no—
285C23×C5—22no—
286C23×C5—22no—
287C23×C5—22no—
288C23×C5—22no—
289C23×C5C2×C3×D412yes—
290C23×C5C3×#4112yes—
291C23×C5C24×C311yescharacteristic
292C5×Q8—44no—
293C5×D4—28no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—21no—
299C2×C4×C5—22no—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—22no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—44no—
315C2×C4×C5—44no—
316C2×C4×C5C2×C3×D412yes—
317C2×C4×C5C2×C3×D412yes—
318C2×C4×C5C3×#4112yes—
319C22×Q8C22×C3×C511yescharacteristic
320C22×D4C22×C3×C511yescharacteristic
321C23×C4C22×C3×C511yescharacteristic
322C23×C4C22×C3×C511yescharacteristic
323C22⋊Q8—24no—
324C4×D4—24no—
325C2×C4⋊C4C22×C3×C511yescharacteristic
326C2×C4⋊C4C22×C3×C512yes—
327C2×C4⋊C4C22×C3×C511yescharacteristic
328C2×C4⋊C4C22×C3×C512yes—
329C2×C4⋊C4C22×C3×C512yes—
330C2×C22⋊C4C22×C3×C511yescharacteristic
331C2×C22⋊C4C22×C3×C511yescharacteristic
332C2×C22⋊C4C22×C3×C512yes—
333C2×C22⋊C4C22×C3×C512yes—
334C2×C22⋊C4C22×C3×C512yes—
335C2×C22⋊C4C22×C3×C512yes—
336C2×C42C22×C3×C511yescharacteristic
337#95C22×C3×C512yes—
338#95C22×C3×C511yescharacteristic
339#95C22×C3×C511yescharacteristic
340#95C22×C3×C512yes—
341#95C22×C3×C512yes—
342#95C22×C3×C512yes—
343#95C22×C3×C512yes—
344C2×C3×C5—42no—
345C2×C3×C5—42no—
346C2×C3×C5#52511yescharacteristic
347C2×C3×C5#53411yescharacteristic
348C2×C3×C5#53611yescharacteristic
349C2×C3×C5#53912yes—
350C2×C3×C5#54212yes—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—22no—
356C23×C3—22no—
357C23×C3—22no—
358C23×C3—22no—
359C23×C3C2×C5×D412yes—
360C23×C3C5×#4112yes—
361C23×C3C24×C511yescharacteristic
362C3×Q8—44no—
363C3×D4—28no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—21no—
369C2×C3×C4—22no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—44no—
385C2×C3×C4—44no—
386C2×C3×C4C2×C5×D412yes—
387C2×C3×C4C2×C5×D412yes—
388C2×C3×C4C5×#4112yes—
389C22×C5—22no—
390C22×C5—22no—
391C22×C5—22no—
392C22×C5—22no—
393C22×C5—24no—
394C22×C5—41no—
395C22×C5—41no—
396C22×C5—42no—
397C22×C5—42no—
398C22×C5—42no—
399C22×C5C22×C3×D411yescharacteristic
400C22×C5C2×C3×#4111yescharacteristic
401C22×C5C2×C3×#4111yescharacteristic
402C22×C5C3×H(5,𝔽2)12yes—
403C22×C5C3×2−1+412yes—
404C4×C5—22no—
405C4×C5—22no—
406C4×C5—22no—
407C4×C5—42no—
408C4×C5—41no—
409C4×C5—42no—
410C4×C5—41no—
411C4×C5—42no—
412C4×C5—42no—
413C24C23×C3×C511yescharacteristic
414C24C23×C3×C511yescharacteristic
415C2×Q8—22no—
416C2×Q8—42no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C22×C4—22no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4C3×C5×D414yes—
424C22×C4C23×C3×C511yescharacteristic
425C22×C4C23×C3×C512yes—
426C22×C4C23×C3×C512yes—
427C22×C4C23×C3×C512yes—
428C22×C4C23×C3×C512yes—
429C22×C4C23×C3×C511yescharacteristic
430C22×C4C23×C3×C511yescharacteristic
431C22×C4C23×C3×C511yescharacteristic
432C22×C4C23×C3×C511yescharacteristic
433C4⋊C4—22no—
434C4⋊C4—22no—
435C4⋊C4—24no—
436C4⋊C4—24no—
437C4⋊C4—42no—
438C22⋊C4—22no—
439C22⋊C4—24no—
440C22⋊C4—24no—
441C22⋊C4—22no—
442C22⋊C4—42no—
443C22⋊C4—42no—
444C42—22no—
445C3×C5#263811yescharacteristic, direct product factor, Hall
446C22×C3—22no—
447C22×C3—22no—
448C22×C3—22no—
449C22×C3—22no—
450C22×C3—24no—
451C22×C3—41no—
452C22×C3—41no—
453C22×C3—42no—
454C22×C3—42no—
455C22×C3—42no—
456C22×C3C22×C5×D411yescharacteristic
457C22×C3C2×C5×#4111yescharacteristic
458C22×C3C2×C5×#4111yescharacteristic
459C22×C3C5×H(5,𝔽2)12yes—
460C22×C3C5×2−1+412yes—
461C3×C4—22no—
462C3×C4—22no—
463C3×C4—22no—
464C3×C4—42no—
465C3×C4—41no—
466C3×C4—42no—
467C3×C4—41no—
468C3×C4—42no—
469C3×C4—42no—
470C2×C5—42no—
471C2×C5—42no—
472C2×C5C3×#52511yescharacteristic
473C2×C5C3×#53411yescharacteristic
474C2×C5C3×#53611yescharacteristic
475C2×C5C3×#53912yes—
476C2×C5C3×#54212yes—
477C23—21no—
478C23—21no—
479C23—21no—
480C23—21no—
481C23—22no—
482C23—22no—
483C23—22no—
484C23—22no—
485C23C2×C3×C5×D412yes—
486C23C3×C5×#4112yes—
487C23C24×C3×C511yescharacteristic
488Q8—44no—
489D4—28no—
490C2×C4—21no—
491C2×C4—21no—
492C2×C4—22no—
493C2×C4—22no—
494C2×C4—21no—
495C2×C4—22no—
496C2×C4—21no—
497C2×C4—22no—
498C2×C4—22no—
499C2×C4—22no—
500C2×C4—22no—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—22no—
505C2×C4—22no—
506C2×C4—22no—
507C2×C4—22no—
508C2×C4—22no—
509C2×C4—22no—
510C2×C4—44no—
511C2×C4—44no—
512C2×C4C2×C3×C5×D412yes—
513C2×C4C2×C3×C5×D412yes—
514C2×C4C3×C5×#4112yes—
515C2×C3—42no—
516C2×C3—42no—
517C2×C3C5×#52511yescharacteristic
518C2×C3C5×#53411yescharacteristic
519C2×C3C5×#53611yescharacteristic
520C2×C3C5×#53912yes—
521C2×C3C5×#54212yes—
522C5C3×#263811yescharacteristic, direct product factor, Sylow
523C22—22no—
524C22—22no—
525C22—22no—
526C22—22no—
527C22—24no—
528C22—41no—
529C22—41no—
530C22—42no—
531C22—42no—
532C22—42no—
533C22C22×C3×C5×D411yescharacteristic
534C22C2×C3×C5×#4111yescharacteristic
535C22C2×C3×C5×#4111yescharacteristic
536C22C3×C5×H(5,𝔽2)12yes—
537C22C3×C5×2−1+412yes—
538C4—22no—
539C4—22no—
540C4—22no—
541C4—42no—
542C4—41no—
543C4—42no—
544C4—41no—
545C4—42no—
546C4—42no—
547C3C5×#263811yescharacteristic, direct product factor, Sylow
548C2—42no—
549C2—42no—
550C2C3×C5×#52511yescharacteristic
551C2C3×C5×#53411yescharacteristic
552C2C3×C5×#53611yescharacteristic
553C2C3×C5×#53912yes—
554C2C3×C5×#54212yes—
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC22×C3×C5×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×C5×C22⋊Q8C2semidirect
3. C3×C5×#398C2semidirect
4. C3×C5×#397C2semidirect
5. C3×C5×#397C2semidirect
6. C3×C5×#395C2semidirect
8. C3×C5×#393C2semidirect
9. C3×C5×#387C2semidirect
10. C3×C5×#385C2semidirect
11. C3×C5×#381C2semidirect
12. C5×#2638C3direct (N × H)
38. C3×#2638C5direct (N × H)
39. C2×C5×C22⋊Q8C2×C3semidirect
41. C5×#398C2×C3semidirect
42. C5×#397C2×C3semidirect
43. C5×#397C2×C3semidirect
44. C5×#395C2×C3semidirect
46. C5×#393C2×C3semidirect
47. C5×#387C2×C3semidirect
48. C5×#385C2×C3semidirect
49. C5×#381C2×C3semidirect
82. C2×C3×C22⋊Q8C2×C5semidirect
84. C3×#398C2×C5semidirect
85. C3×#397C2×C5semidirect
86. C3×#397C2×C5semidirect
87. C3×#395C2×C5semidirect
89. C3×#393C2×C5semidirect
90. C3×#387C2×C5semidirect
91. C3×#385C2×C5semidirect
92. C3×#381C2×C5semidirect
118. #2638C3×C5direct (N × H)
214. C2×C22⋊Q8C2×C3×C5semidirect
216. #398C2×C3×C5semidirect
217. #397C2×C3×C5semidirect
218. #397C2×C3×C5semidirect
219. #395C2×C3×C5semidirect
221. #393C2×C3×C5semidirect
222. #387C2×C3×C5semidirect
223. #385C2×C3×C5semidirect
224. #381C2×C3×C5semidirect
445. C3×C5#2638direct (N × H)
522. C5C3×#2638direct (N × H)
547. C3C5×#2638direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C5×C22⋊Q82
C2×C3×C4×C5×D42
C3×C5×#3982
C3×C5×#3972
C3×C5×#3952
C3×C5×#3942
C3×C5×#3932
C3×C5×#3872
C3×C5×#3852
C3×C5×#3812
C5×#26383
C3×#26385