Finite Group Databasebeta

← #14320115

Subgroups — #14320115

Order 1920.

1136 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D5×Dic3C211yesmaximal, characteristic
2#11752424C211yesmaximal, characteristic
3C3×#65765C211yesmaximal, characteristic
4Dic3×C22⋊AGL(1,𝔽5)C212yesmaximal
5#11751984C212yesmaximal
6Dic3×C4⋊AGL(1,𝔽5)C212yesmaximal, complemented
7#11751832C212yesmaximal, complemented
8#11751751C212yesmaximal, complemented
9#11751750C212yesmaximal, complemented
10#10617046—31nomaximal, Hall
11C22×C3×C4×D5C2211yescharacteristic
12C22×D5×Dic3C2211yescharacteristic
13C22×D5×Dic3C2211yescharacteristic
14C2×#6763C2212yes—
15C2×C4⋊ΓL(1,𝔽16)C2212yes—
16C2×C3×C22⋊AGL(1,𝔽5)C2212yes—
17C2×C3×C4⋊AGL(1,𝔽5)C2212yes—
18C2×Dic3×AGL(1,𝔽5)C2214yes—
19C2×C4×Dic15C411yescharacteristic, complemented
20C2×C4×C5×Dic3C411yescharacteristic, complemented
21C2×Dic3×Dic5C411yescharacteristic, complemented
22C2×Dic3×Dic5C411yescharacteristic, complemented
23C4×D5×Dic3C411yescharacteristic, complemented
24C4×D5×Dic3C411yescharacteristic, complemented
25C4×D5×Dic3C411yescharacteristic, complemented
26C4×D5×Dic3C411yescharacteristic, complemented
27C4×D5×Dic3C2211yescharacteristic
28C4×D5×Dic3C2211yescharacteristic
29C4×D5×Dic3C2211yescharacteristic
30C4×D5×Dic3C2211yescharacteristic
31#91235C2212yes—
32C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
33(C2×AGL(1,𝔽5))⋊Dic3C2214yes—
34(C2×AGL(1,𝔽5))⋊Dic3C2214yes—
35(C2×AGL(1,𝔽5))⋊Dic3C2214yes—
36#73863—51nomaximal, Hall
37C2×C42×D5—31no—
38#65765—31no—
39#65765D311yescharacteristic
40#65764—32no—
41C4×C22⋊AGL(1,𝔽5)—32no—
42#65690—32no—
43#65689—32no—
44C4×C4⋊AGL(1,𝔽5)—32no—
45#65686—32no—
46C23×C3×D5C2311yescharacteristic
47C22×ΓL(1,𝔽16)C2314yes—
48C22×C3×AGL(1,𝔽5)C2314yes—
49C22×C3×C4×C5C2×C411yescharacteristic
50C22×Dic15C2×C411yescharacteristic
51C22×Dic15C2×C411yescharacteristic
52C22×C5×Dic3C2×C411yescharacteristic
53C22×C5×Dic3C2×C411yescharacteristic
54C22×C3×Dic5C2×C411yescharacteristic
55C2×C3×C4×D5—24no—
56C2×C3×C4×D5C2×C411yescharacteristic
57C2×C3×C4×D5C2×C411yescharacteristic
58C2×C3×C4×D5C2311yescharacteristic
59C2×C3×C4×D5C2311yescharacteristic
60C2×D5×Dic3—22no—
61C2×D5×Dic3—22no—
62C2×D5×Dic3—24no—
63C2×D5×Dic3C2×C411yescharacteristic
64C2×D5×Dic3C2×C411yescharacteristic
65C2×D5×Dic3C2×C411yescharacteristic
66C2×D5×Dic3C2×C411yescharacteristic
67C2×D5×Dic3C2311yescharacteristic
68C2×D5×Dic3C2311yescharacteristic
69C2×D5×Dic3C2311yescharacteristic
70C2×D5×Dic3C2311yescharacteristic
71#6763—24no—
72C4⋊ΓL(1,𝔽16)—24no—
73C3×C22⋊AGL(1,𝔽5)—24no—
74C3×C4⋊AGL(1,𝔽5)—24no—
75Dic3×AGL(1,𝔽5)—28no—
76C4×Dic15C2×C411yescharacteristic
77C4×Dic15C2×C411yescharacteristic
78C4×Dic15C2×C411yescharacteristic
79C4×Dic15C2×C411yescharacteristic
80C4×C5×Dic3C2×C411yescharacteristic
81C4×C5×Dic3C2×C411yescharacteristic
82C4×C5×Dic3C2×C411yescharacteristic
83C4×C5×Dic3C2×C411yescharacteristic
84Dic3×Dic5C2×C411yescharacteristic
85Dic3×Dic5C2×C411yescharacteristic
86Dic3×Dic5C2×C411yescharacteristic
87Dic3×Dic5C2×C411yescharacteristic
88Dic3×Dic5C2×C411yescharacteristic
89Dic3×Dic5C2×C411yescharacteristic
90Dic3×Dic5C2×C411yescharacteristic
91Dic3×Dic5C2×C411yescharacteristic
92C22×C4×Dic3—51no—
93C3×#380—51no—
94#5212—51no—
95#4977—52no—
96Dic3×C4⋊C4—52no—
97#4943—52no—
98Dic3×C22⋊C4—52no—
99#4651—52no—
100#4648—52no—
101C22×C4×D5—31no—
102C22×C4×D5—31no—
103C22×C4×D5C2×D311yescharacteristic
104C2×C22⋊AGL(1,𝔽5)—32no—
105C2×C22⋊AGL(1,𝔽5)C2×D312yes—
106C2×C4⋊AGL(1,𝔽5)—32no—
107C2×C4⋊AGL(1,𝔽5)C2×D312yes—
108C2×C4×AGL(1,𝔽5)—34no—
109C2×C42×C5—31no—
110C2×C4×Dic5—31no—
111C2×C4×Dic5—31no—
112C2×C4×Dic5—31no—
113C42×D5—31no—
114C42×D5—31no—
115C42×D5—31no—
116C42×D5—31no—
117C42×D5—31no—
118C42×D5—31no—
119C42×D5—31no—
120C42×D5—31no—
121(C2×AGL(1,𝔽5))⋊C4—34no—
122(C2×AGL(1,𝔽5))⋊C4—34no—
123(C2×AGL(1,𝔽5))⋊C4—34no—
124(C2×AGL(1,𝔽5))⋊C4—32no—
125(C2×AGL(1,𝔽5))⋊C4C2×D312yes—
126#2283—151noSylow
127C23×C3×C5C22×C411yescharacteristic
128C22×C3×D5—22no—
129C22×C3×D5—22no—
130C22×C3×D5C22×C411yescharacteristic
131C22×C3×D5#4112yes—
132C22×C3×D5#4112yes—
133C22×C3×D5C2411yescharacteristic
134C2×ΓL(1,𝔽16)—24no—
135C2×ΓL(1,𝔽16)—24no—
136C2×ΓL(1,𝔽16)—24no—
137C2×C3×AGL(1,𝔽5)—24no—
138C2×C3×AGL(1,𝔽5)—24no—
139C2×C3×AGL(1,𝔽5)—24no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5C22×C411yescharacteristic
142C2×C3×C4×C5C22×C411yescharacteristic
143C2×Dic15—22no—
144C2×Dic15—22no—
145C2×Dic15C22×C411yescharacteristic
146C2×Dic15C22×C411yescharacteristic
147C2×Dic15C22×C411yescharacteristic
148C2×Dic15C22×C411yescharacteristic
149C2×C5×Dic3—22no—
150C2×C5×Dic3—22no—
151C2×C5×Dic3C22×C411yescharacteristic
152C2×C5×Dic3C22×C411yescharacteristic
153C2×C5×Dic3C22×C411yescharacteristic
154C2×C5×Dic3C22×C411yescharacteristic
155C2×C3×Dic5—22no—
156C2×C3×Dic5C22×C411yescharacteristic
157C2×C3×Dic5C22×C411yescharacteristic
158C3×C4×D5—22no—
159C3×C4×D5—22no—
160C3×C4×D5—22no—
161C3×C4×D5#4114yes—
162D5×Dic3—22no—
163D5×Dic3—22no—
164D5×Dic3—21no—
165D5×Dic3—21no—
166D5×Dic3—21no—
167D5×Dic3—21no—
168D5×Dic3—22no—
169D5×Dic3—22no—
170D5×Dic3—22no—
171D5×Dic3#4114yes—
172C23×C3×C4—51no—
173C23×Dic3—51no—
174C23×Dic3—51no—
175C2×C3×C4⋊C4—52no—
176C2×C3×C22⋊C4—52no—
177C2×#217—52no—
178C2×C4⋊Dic3—52no—
179C2×C4×Dic3—51no—
180C2×C4×Dic3—51no—
181C2×C4×Dic3—51no—
182C2×C4×Dic3—51no—
183C2×C4×Dic3—51no—
184C2×C4×Dic3—51no—
185C2×C4×Dic3—51no—
186C2×C4×Dic3—51no—
187C2×C4×Dic3—51no—
188C2×C4×Dic3—51no—
189C2×C4×Dic3—51no—
190C2×C4×Dic3—54no—
191C2×C4×Dic3AGL(1,𝔽5)11yescharacteristic, complemented
192C3×#95—52no—
193C3⋊#95—54no—
194C3⋊#95—54no—
195C3⋊#95—54no—
196C3⋊#95—52no—
197C23×D5C22×D311yescharacteristic
198C22×AGL(1,𝔽5)—34no—
199C22×AGL(1,𝔽5)C22×D314yes—
200C22×C4×C5—31no—
201C22×C4×C5—31no—
202C22×C4×C5C4×D311yescharacteristic
203C22×Dic5—31no—
204C22×Dic5—31no—
205C22×Dic5C4×D311yescharacteristic
206C2×C4×D5—24no—
207C2×C4×D5—31no—
208C2×C4×D5—31no—
209C2×C4×D5—31no—
210C2×C4×D5—31no—
211C2×C4×D5—31no—
212C2×C4×D5—31no—
213C2×C4×D5—31no—
214C2×C4×D5—31no—
215C2×C4×D5—64no—
216C2×C4×D5—62no—
217C2×C4×D5—62no—
218C2×C4×D5C4×D311yescharacteristic
219C2×C4×D5C4×D311yescharacteristic
220C2×C4×D5C22×D311yescharacteristic
221C2×C4×D5C22×D311yescharacteristic
222C22⋊AGL(1,𝔽5)—24no—
223C22⋊AGL(1,𝔽5)—64no—
224C4⋊AGL(1,𝔽5)—24no—
225C4⋊AGL(1,𝔽5)—64no—
226C4×AGL(1,𝔽5)—68no—
227C42×C5—31no—
228C42×C5—31no—
229C42×C5—31no—
230C42×C5—31no—
231C4×Dic5—31no—
232C4×Dic5—31no—
233C4×Dic5—31no—
234C4×Dic5—31no—
235C4×Dic5—31no—
236C4×Dic5—31no—
237C4×Dic5—31no—
238C4×Dic5—31no—
239C4×Dic5—31no—
240C4×Dic5—31no—
241C4×Dic5—31no—
242C4×Dic5—31no—
243C22×C42—151no—
244#383—152no—
245#382—152no—
246#381—152no—
247#380—51no—
248#380—151no—
249C4×C4⋊C4—152no—
250C4×C22⋊C4—152no—
251#376—152no—
252C22×C3×C5—21no—
253C22×C3×C5—21no—
254C22×C3×C5#11712yes—
255C22×C3×C5C23×C411yescharacteristic
256C2×C3×D5—21no—
257C2×C3×D5—21no—
258C2×C3×D5—24no—
259C2×C3×D5—24no—
260C2×C3×D5#11712yes—
261C2×C3×D5C2×#4111yescharacteristic
262C2×C3×D5C2×#4112yes—
263C2×C3×D5C2×#4111yescharacteristic
264C2×C3×D5C2×#4112yes—
265ΓL(1,𝔽16)—44no—
266C3×AGL(1,𝔽5)—44no—
267C3×C4×C5—21no—
268C3×C4×C5#11712yes—
269Dic15—21no—
270Dic15—21no—
271Dic15—21no—
272Dic15#11712yes—
273C3×Dic5—21no—
274C3×Dic5#11712yes—
275C5×Dic3—21no—
276C5×Dic3—21no—
277C5×Dic3—21no—
278C5×Dic3#11712yes—
279C24×C3—51no—
280C22×C3×C4—51no—
281C22×C3×C4—51no—
282C22×C3×C4—51no—
283C22×C3×C4—51no—
284C22×C3×C4—51no—
285C22×C3×C4—54no—
286C22×C3×C4—104no—
287C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic
288C22×Dic3—51no—
289C22×Dic3—51no—
290C22×Dic3—51no—
291C22×Dic3—51no—
292C22×Dic3—51no—
293C22×Dic3—51no—
294C22×Dic3—51no—
295C22×Dic3—51no—
296C22×Dic3—51no—
297C22×Dic3—51no—
298C22×Dic3—54no—
299C22×Dic3—104no—
300C22×Dic3—102no—
301C22×Dic3—102no—
302C22×Dic3C2×AGL(1,𝔽5)11yescharacteristic
303C22×Dic3C2×AGL(1,𝔽5)11yescharacteristic
304C3×C4⋊C4—104no—
305C3×C22⋊C4—104no—
306#217—104no—
307C4⋊Dic3—104no—
308C4×Dic3—51no—
309C4×Dic3—51no—
310C4×Dic3—51no—
311C4×Dic3—51no—
312C4×Dic3—51no—
313C4×Dic3—51no—
314C4×Dic3—51no—
315C4×Dic3—51no—
316C4×Dic3—51no—
317C4×Dic3—51no—
318C4×Dic3—51no—
319C4×Dic3—51no—
320C4×Dic3—108no—
321C4×Dic3C2×AGL(1,𝔽5)11yescharacteristic
322C4×Dic3C2×AGL(1,𝔽5)11yescharacteristic
323C4×Dic3C2×AGL(1,𝔽5)11yescharacteristic
324C4×Dic3C2×AGL(1,𝔽5)11yescharacteristic
325C23×C5C2×C4×D311yescharacteristic
326C22×D5—22no—
327C22×D5—22no—
328C22×D5C2×C4×D311yescharacteristic
329C22×D5#23712yes—
330C22×D5#23912yes—
331C22×D5C23×D311yescharacteristic
332C2×AGL(1,𝔽5)—24no—
333C2×AGL(1,𝔽5)—24no—
334C2×AGL(1,𝔽5)—24no—
335C2×AGL(1,𝔽5)—64no—
336C2×AGL(1,𝔽5)—64no—
337C2×AGL(1,𝔽5)—64no—
338C2×C4×C5—22no—
339C2×C4×C5—31no—
340C2×C4×C5—31no—
341C2×C4×C5—31no—
342C2×C4×C5—31no—
343C2×C4×C5—62no—
344C2×C4×C5—62no—
345C2×C4×C5C2×C4×D311yescharacteristic
346C2×C4×C5C2×C4×D311yescharacteristic
347C2×Dic5—22no—
348C2×Dic5—31no—
349C2×Dic5—31no—
350C2×Dic5—31no—
351C2×Dic5—31no—
352C2×Dic5—62no—
353C2×Dic5—62no—
354C2×Dic5C2×C4×D311yescharacteristic
355C2×Dic5C2×C4×D311yescharacteristic
356C4×D5—22no—
357C4×D5—22no—
358C4×D5—22no—
359C4×D5—34no—
360C4×D5—62no—
361C4×D5—62no—
362C4×D5—62no—
363C4×D5—62no—
364C4×D5—61no—
365C4×D5—61no—
366C4×D5—61no—
367C4×D5—61no—
368C4×D5—62no—
369C4×D5#23714yes—
370C23×C4—51no—
371C23×C4—151no—
372C23×C4—151no—
373C2×C4⋊C4—52no—
374C2×C4⋊C4—152no—
375C2×C22⋊C4—52no—
376C2×C22⋊C4—152no—
377C2×C42—31no—
378C2×C42—151no—
379C2×C42—151no—
380C2×C42—151no—
381C2×C42—151no—
382C2×C42—151no—
383C2×C42—151no—
384C2×C42—151no—
385C2×C42—151no—
386C2×C42—151no—
387C2×C42—151no—
388C2×C42—151no—
389C2×C42—154no—
390#95—52no—
391#95—152no—
392#95—154no—
393#95—154no—
394#95—154no—
395C2×C3×C5—22no—
396C2×C3×C5C2×#11711yescharacteristic
397C2×C3×C5C2×#11711yescharacteristic
398C2×C3×C5C2×#11711yescharacteristic
399C3×D5—22no—
400C3×D5#52912yes—
401C3×D5#52912yes—
402C23×C3—51no—
403C23×C3—52no—
404C23×C3—52no—
405C23×C3—51no—
406C23×C3—102no—
407C23×C3—102no—
408C23×C3C22×AGL(1,𝔽5)11yescharacteristic
409C2×C3×C4—22no—
410C2×C3×C4—51no—
411C2×C3×C4—54no—
412C2×C3×C4—51no—
413C2×C3×C4—102no—
414C2×C3×C4—102no—
415C2×C3×C4—102no—
416C2×C3×C4—102no—
417C2×C3×C4—104no—
418C2×C3×C4—104no—
419C2×C3×C4—104no—
420C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
421C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—51no—
425C2×Dic3—54no—
426C2×Dic3—51no—
427C2×Dic3—51no—
428C2×Dic3—51no—
429C2×Dic3—102no—
430C2×Dic3—102no—
431C2×Dic3—101no—
432C2×Dic3—101no—
433C2×Dic3—101no—
434C2×Dic3—101no—
435C2×Dic3—102no—
436C2×Dic3—102no—
437C2×Dic3—102no—
438C2×Dic3—102no—
439C2×Dic3—102no—
440C2×Dic3—104no—
441C2×Dic3—104no—
442C2×Dic3—104no—
443C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
444C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
445C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
446C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
447C22×C5—21no—
448C22×C5—21no—
449C22×C5#89212yes—
450C22×C5C22×C4×D311yescharacteristic
451C2×D5—21no—
452C2×D5—21no—
453C2×D5—24no—
454C2×D5—24no—
455C2×D5#89212yes—
456C2×D5C2×#23711yescharacteristic
457C2×D5C2×#23712yes—
458C2×D5C2×#23911yescharacteristic
459C2×D5D3×#4112yes—
460AGL(1,𝔽5)—44no—
461AGL(1,𝔽5)—124no—
462C4×C5—21no—
463C4×C5—32no—
464C4×C5—61no—
465C4×C5—61no—
466C4×C5—61no—
467C4×C5#87712yes—
468Dic5—21no—
469Dic5—32no—
470Dic5—61no—
471Dic5—61no—
472Dic5—61no—
473Dic5#87712yes—
474C24—51no—
475C22×C4—31no—
476C22×C4—31no—
477C22×C4—51no—
478C22×C4—51no—
479C22×C4—51no—
480C22×C4—51no—
481C22×C4—51no—
482C22×C4—54no—
483C22×C4—104no—
484C22×C4—151no—
485C22×C4—151no—
486C22×C4—151no—
487C22×C4—151no—
488C22×C4—151no—
489C22×C4—151no—
490C22×C4—151no—
491C22×C4—151no—
492C22×C4—151no—
493C22×C4—151no—
494C22×C4—154no—
495C22×C4—304no—
496C22×C4—302no—
497C22×C4—302no—
498C22×C4D3×AGL(1,𝔽5)11yescharacteristic
499C4⋊C4—104no—
500C4⋊C4—304no—
501C22⋊C4—104no—
502C22⋊C4—304no—
503C42—31no—
504C42—31no—
505C42—31no—
506C42—31no—
507C42—151no—
508C42—151no—
509C42—151no—
510C42—151no—
511C42—151no—
512C42—151no—
513C42—151no—
514C42—151no—
515C42—151no—
516C42—151no—
517C42—151no—
518C42—151no—
519C42—308no—
520C3×C5#228311yescharacteristic, complemented, Hall
521C22×C3—21no—
522C22×C3—21no—
523C22×C3—52no—
524C22×C3—51no—
525C22×C3—52no—
526C22×C3—51no—
527C22×C3—52no—
528C22×C3—104no—
529C22×C3—104no—
530C22×C3—101no—
531C22×C3—101no—
532C22×C3#413012yes—
533C22×C3C23×AGL(1,𝔽5)11yescharacteristic
534C3×C4—21no—
535C3×C4—52no—
536C3×C4—101no—
537C3×C4—204no—
538C3×C4#413012yes—
539Dic3—21no—
540Dic3—21no—
541Dic3—21no—
542Dic3—52no—
543Dic3—101no—
544Dic3—101no—
545Dic3—101no—
546Dic3—204no—
547Dic3#413012yes—
548C2×C5—22no—
549C2×C5C2×#87711yescharacteristic
550C2×C5C2×#89211yescharacteristic
551C2×C5D3×#11711yescharacteristic
552D5—22no—
553D5#560012yes—
554D5#562412yes—
555C23—51no—
556C23—52no—
557C23—52no—
558C23—51no—
559C23—102no—
560C23—102no—
561C23C2×D3×AGL(1,𝔽5)11yescharacteristic
562C2×C4—22no—
563C2×C4—31no—
564C2×C4—31no—
565C2×C4—31no—
566C2×C4—31no—
567C2×C4—51no—
568C2×C4—54no—
569C2×C4—51no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—102no—
573C2×C4—102no—
574C2×C4—102no—
575C2×C4—102no—
576C2×C4—104no—
577C2×C4—104no—
578C2×C4—104no—
579C2×C4—154no—
580C2×C4—151no—
581C2×C4—151no—
582C2×C4—151no—
583C2×C4—151no—
584C2×C4—302no—
585C2×C4—302no—
586C2×C4—301no—
587C2×C4—301no—
588C2×C4—301no—
589C2×C4—301no—
590C2×C4—302no—
591C2×C4—302no—
592C2×C4—302no—
593C2×C4—302no—
594C2×C4—302no—
595C2×C4—304no—
596C2×C4—304no—
597C2×C4—304no—
598C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
599C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
600C2×C3—22no—
601C2×C3—52no—
602C2×C3—52no—
603C2×C3—102no—
604C2×C3C2×#413011yescharacteristic
605C2×C3C2×#413011yescharacteristic
606C2×C3C2×#413011yescharacteristic
607C5#7386311yescharacteristic, complemented, Sylow
608C22—21no—
609C22—21no—
610C22—51no—
611C22—51no—
612C22—52no—
613C22—52no—
614C22—52no—
615C22—104no—
616C22—104no—
617C22—101no—
618C22—101no—
619C22#9190712yes—
620C22C22×D3×AGL(1,𝔽5)11yescharacteristic
621C4—21no—
622C4—32no—
623C4—52no—
624C4—61no—
625C4—61no—
626C4—61no—
627C4—101no—
628C4—152no—
629C4—204no—
630C4—301no—
631C4—301no—
632C4—301no—
633C4—604no—
634C4#9192312yes—
635C3#1061704611yescharacteristic, complemented, Sylow
636C2—22no—
637C2—52no—
638C2—52no—
639C2—102no—
640C2C2×#9190711yescharacteristic
641C2D3×#413011yescharacteristic
642C2C2×#9192311yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC22×C3×C4×C5C2×C4
prime radicalC23×C3×D5C23
cosocleC22×C3×D5C24
hypercenterC22×C4D3×AGL(1,𝔽5)
hypocenterC3×C5#2283
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
6. Dic3×C4⋊AGL(1,𝔽5)C2semidirect
7. #11751832C2semidirect
8. #11751751C2semidirect
9. #11751750C2semidirect
19. C2×C4×Dic15C4semidirect
20. C2×C4×C5×Dic3C4semidirect
21. C2×Dic3×Dic5C4semidirect
22. C2×Dic3×Dic5C4semidirect
23. C4×D5×Dic3C4semidirect
24. C4×D5×Dic3C4semidirect
25. C4×D5×Dic3C4semidirect
26. C4×D5×Dic3C4semidirect
191. C2×C4×Dic3AGL(1,𝔽5)semidirect
520. C3×C5#2283semidirect
607. C5#73863semidirect
635. C3#10617046semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D5×Dic32
#117524242
C3×#657652
Dic3×C22⋊AGL(1,𝔽5)2
#117519842
Dic3×C4⋊AGL(1,𝔽5)2
#117518322
#117517512
#117517502
#106170463
#738635