Finite Group Databasebeta

← #14326207

Subgroups — #14326207

Order 1920.

1744 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#237C211yesmaximal, characteristic
2C2×#91344C211yesmaximal, characteristic, complemented
3C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
4#11751322C211yesmaximal, characteristic, complemented
5C3×#65510C211yesmaximal, characteristic, complemented
6#11749513C212yesmaximal, complemented
7Dic3×C22⋊Dic5C212yesmaximal, complemented
8#11749482C212yesmaximal, complemented
9#11749482C212yesmaximal, complemented
10#11748786C211yesmaximal, characteristic, complemented
11C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
12#10615820—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×C5×#67C2212yes—
15C23×C5×Dic3C2212yes—
16C2×C5×#237—24no—
17C2×C5×#237—24no—
18C2×C5×#237C418yescomplemented
19C22×C4×C5×D3C2211yescharacteristic
20C22×C5×Dic6C2211yescharacteristic
21C2×#6719C2212yes—
22C2×#6719C2212yes—
23C2×C4⋊Dic15C2211yescharacteristic
24C2×C4×Dic15C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C2×C3×C22⋊Dic5C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×Dic3⋊Dic5C2212yes—
30C2×Dic3⋊Dic5C2212yes—
31C2×(C2×D3)⋊Dic5C2211yescharacteristic
32C2×(C2×D3)⋊Dic5C2211yescharacteristic
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×Dic3×Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36#91344—24no—
37Dic5×Dic6—24no—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#90994C2212yes—
41#76301—51nomaximal, Hall
42C22×C5×#41—31no—
43C2×Q8×Dic5—31no—
44C2×Q8×Dic5—31no—
45#65510—31no—
46#65510—32no—
47#65510—32no—
48#65510D311yescharacteristic, complemented
49#65501—31no—
50#65501—32no—
51C4×C22⋊Dic5—31no—
52C4×C22⋊Dic5—32no—
53C24×C3×C5C2312yes—
54C23×C5×D3C2311yescharacteristic
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4C2×C414yes—
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15C2312yes—
60C22×Dic15C2311yescharacteristic
61C22×Dic15C2311yescharacteristic
62C2×C5×#67—24no—
63C2×C5×#67—24no—
64C2×C5×#67C2×C418yes—
65C22×C5×Dic3—24no—
66C22×C5×Dic3—24no—
67C22×C5×Dic3C2×C418yes—
68C22×C5×Dic3C2311yescharacteristic
69C22×C5×Dic3C2312yes—
70C5×#237—232no—
71C2×C4×C5×D3—22no—
72C2×C4×C5×D3—22no—
73C2×C4×C5×D3C2×C414yes—
74C2×C5×Dic6C2×C414yes—
75C2×C5×Dic6D414yes—
76C2×C5×Dic6D414yes—
77C22×C3×Dic5C2312yes—
78C22×C3×Dic5C2311yescharacteristic
79C22×C3×Dic5C2311yescharacteristic
80#6719—24no—
81#6719—42no—
82C4⋊Dic15—22no—
83C4×Dic15—22no—
84C3×C22⋊Dic5—24no—
85C3×C22⋊Dic5—42no—
86C3×C4⋊Dic5—22no—
87C3×C4×Dic5—22no—
88Dic3⋊Dic5—24no—
89Dic3⋊Dic5—24no—
90(C2×D3)⋊Dic5—22no—
91(C2×D3)⋊Dic5—22no—
92(C2×D3)⋊Dic5—42no—
93Dic3×Dic5—24no—
94Dic3×Dic5—24no—
95C22×#237D511yescharacteristic
96C2×#887—51no—
97C2×C4×Dic6—51no—
98C3×#390—51no—
99#5221—51no—
100#4987—51no—
101#4957—52no—
102#4957—52no—
103#4942—52no—
104Dic3×C22⋊C4—52no—
105C4×(C2×D3)⋊C4—51no—
106C2×C5×#41—38no—
107C2×C5×#41—64no—
108C2×C5×#41—64no—
109C22×C5×Q8—31no—
110C22×C5×D4—32no—
111C22×C5×D4C2×D311yescharacteristic
112C23×C4×C5—32no—
113C23×C4×C5—31no—
114C2×C22⋊Dic5—32no—
115C2×C22⋊Dic5—31no—
116C2×C22⋊Dic5—31no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5—32no—
119C2×C22⋊Dic5C2×D312yes—
120C2×C22⋊Dic5C2×D312yes—
121Q8×Dic5—64no—
122Q8×Dic5—64no—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5—32no—
125C2×C4⋊Dic5—32no—
126C2×C4⋊Dic5C2×D311yescharacteristic
127C2×C4×Dic5—31no—
128C2×C4×Dic5—32no—
129C2×C4×Dic5—32no—
130C2×C4×Dic5C2×D311yescharacteristic
131#3963—31no—
132#3963—32no—
133#3963—31no—
134#2341—151noSylow
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5—22no—
141C23×C3×C5C22×C414yes—
142C23×C3×C5C2411yescharacteristic
143C22×C5×D3—21no—
144C22×C5×D3—21no—
145C22×C5×D3—21no—
146C22×C5×D3—21no—
147C22×C5×D3—21no—
148C22×C5×D3—21no—
149C22×C5×D3C22×C412yes—
150C3×C5×D4—28no—
151C2×C3×C4×C5C22×C412yes—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×Dic15—21no—
155C2×Dic15—21no—
156C2×Dic15—22no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—21no—
162C2×Dic15#4112yescomplemented
163C5×#67—216no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—216no—
167C2×C5×Dic3C22×C412yes—
168C2×C5×Dic3C22×C414yes—
169C2×C5×Dic3C2×D414yes—
170C2×C5×Dic3C2×D414yes—
171C4×C5×D3—28no—
172C5×Dic6C22⋊C4116yescomplemented
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—21no—
181C2×C3×Dic5#4112yescomplemented
182C22×C3×D4C2×D511yescharacteristic
183C22×#67C2×D512yes—
184C23×Dic3C2×D512yes—
185C2×#237—24no—
186C2×#237—24no—
187C2×#237Dic518yescomplemented
188C22×C4×D3C2×D511yescharacteristic
189C22×Dic6C2×D511yescharacteristic
190C2×C3×C4⋊C4—51no—
191C2×C3×C22⋊C4—52no—
192C2×C3×C22⋊C4—52no—
193C2×C3×C42—51no—
194C2×#217—52no—
195C2×#217—52no—
196C2×(C2×D3)⋊C4—51no—
197C2×(C2×D3)⋊C4—51no—
198C2×(C2×D3)⋊C4—52no—
199C2×C4⋊Dic3—51no—
200C2×Dic3⋊C4—52no—
201C2×Dic3⋊C4—52no—
202C2×C4×Dic3—51no—
203C2×C4×Dic3—52no—
204C2×C4×Dic3—52no—
205#887—104no—
206C4×Dic6—104no—
207C3⋊#95—51no—
208C3⋊#95—51no—
209C3⋊#95—52no—
210C24×C5—31no—
211C24×C5C22×D312yes—
212C5×#41—632no—
213C2×C5×Q8—34no—
214C2×C5×Q8—34no—
215C2×C5×Q8—34no—
216C2×C5×D4—22no—
217C2×C5×D4—22no—
218C2×C5×D4—38no—
219C2×C5×D4—64no—
220C2×C5×D4—64no—
221C2×C5×D4C4×D314yes—
222C22×C4×C5—32no—
223C22×C4×C5—38no—
224C22×C4×C5—31no—
225C22×C4×C5—34no—
226C22×C4×C5—64no—
227C22×C4×C5—64no—
228C22×C4×C5—62no—
229C22×C4×C5—62no—
230C22×C4×C5C22×D311yescharacteristic
231C22×Dic5—31no—
232C22×Dic5—31no—
233C22×Dic5—32no—
234C22×Dic5C22×D312yes—
235C22×Dic5C22×D311yescharacteristic
236C22×Dic5C22×D311yescharacteristic
237C22⋊Dic5—24no—
238C22⋊Dic5—42no—
239C22⋊Dic5—62no—
240C22⋊Dic5—64no—
241C22⋊Dic5—62no—
242C22⋊Dic5—122no—
243C22⋊Dic5—122no—
244C4⋊Dic5—22no—
245C4⋊Dic5—64no—
246C4⋊Dic5—64no—
247C4⋊Dic5—62no—
248C4×Dic5—22no—
249C4×Dic5—64no—
250C4×Dic5—64no—
251C4×Dic5—62no—
252C22×#41—31no—
253C2×C4×Q8—151no—
254C2×C4×Q8—151no—
255#390—51no—
256#390—152no—
257#390—152no—
258#390—151no—
259#380—152no—
260#380—151no—
261C4×C22⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5—24no—
264C22×C3×C5—24no—
265C22×C3×C5—24no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5—42no—
269C22×C3×C5—42no—
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5H(5,𝔽2)11yescharacteristic
276C22×C3×C52−1+411yescharacteristic
277C2×C5×D3—22no—
278C2×C5×D3—22no—
279C2×C5×D3—22no—
280C2×C5×D3—41no—
281C2×C5×D3—41no—
282C2×C5×D3—41no—
283C2×C5×D3—41no—
284C3×C4×C5C2×C22⋊C414yes—
285Dic15—22no—
286Dic15—41no—
287Dic15—42no—
288C3×Dic5—22no—
289C3×Dic5—42no—
290C3×Dic5—41no—
291C5×Dic3—22no—
292C5×Dic3C2×C22⋊C418yes—
293C24×C3C22×D512yes—
294C23×D3C22×D511yescharacteristic
295C2×C3×D4—22no—
296C2×C3×D4—22no—
297C2×C3×D4C2×Dic514yes—
298C22×C3×C4—51no—
299C22×C3×C4—52no—
300C22×C3×C4—51no—
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—24no—
303C2×#67—24no—
304C2×#67C2×Dic518yes—
305C22×Dic3—24no—
306C22×Dic3—24no—
307C22×Dic3—51no—
308C22×Dic3—51no—
309C22×Dic3—52no—
310C22×Dic3C2×Dic518yes—
311C22×Dic3C22×D511yescharacteristic
312C22×Dic3C22×D512yes—
313#237—232no—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3C2×Dic514yes—
317C2×Dic6C2×Dic514yes—
318C2×Dic6C22⋊D514yes—
319C2×Dic6C22⋊D514yes—
320C3×C4⋊C4—102no—
321C3×C22⋊C4—104no—
322C3×C22⋊C4—202no—
323C3×C42—102no—
324#217—104no—
325#217—202no—
326(C2×D3)⋊C4—102no—
327(C2×D3)⋊C4—102no—
328(C2×D3)⋊C4—202no—
329C4⋊Dic3—102no—
330Dic3⋊C4—104no—
331Dic3⋊C4—104no—
332C4×Dic3—102no—
333C4×Dic3—104no—
334C4×Dic3—104no—
335C23×C5—22no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—32no—
342C23×C5—61no—
343C23×C5—61no—
344C23×C5—61no—
345C23×C5—61no—
346C23×C5—61no—
347C23×C5—61no—
348C23×C5C2×C4×D314yes—
349C23×C5C23×D311yescharacteristic
350C5×Q8—316no—
351C5×D4—28no—
352C5×D4—616no—
353C2×C4×C5—34no—
354C2×C4×C5—34no—
355C2×C4×C5—34no—
356C2×C4×C5—32no—
357C2×C4×C5—616no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—68no—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5D3×D412yes—
363C2×C4×C5D3×D412yes—
364C2×Dic5—21no—
365C2×Dic5—21no—
366C2×Dic5—21no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—21no—
370C2×Dic5—22no—
371C2×Dic5—21no—
372C2×Dic5—32no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—62no—
377C2×Dic5—61no—
378C2×Dic5—61no—
379C2×Dic5—62no—
380C2×Dic5—62no—
381C2×Dic5#23712yescomplemented
382C2×#41—38no—
383C2×#41—64no—
384C2×#41—64no—
385C22×Q8—31no—
386C22×D4—32no—
387C22×D4D3×D511yescharacteristic
388C23×C4—32no—
389C23×C4—31no—
390C4×Q8—304no—
391C4×Q8—304no—
392C2×C4⋊C4—51no—
393C2×C4⋊C4—152no—
394C2×C4⋊C4—152no—
395C2×C4⋊C4—151no—
396C2×C22⋊C4—52no—
397C2×C22⋊C4—52no—
398C2×C22⋊C4—151no—
399C2×C22⋊C4—151no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C42—51no—
404C2×C42—152no—
405C2×C42—152no—
406C2×C42—151no—
407#95—151no—
408#95—151no—
409#95—152no—
410C2×C3×C5—44no—
411C2×C3×C5C22×C22⋊C411yescharacteristic
412C2×C3×C5C4×#4111yescharacteristic
413C2×C3×C5#52011yescharacteristic
414C2×C3×C5#54811yescharacteristic
415C2×C3×C5#54811yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55011yescharacteristic
418C5×D3—42no—
419C23×C3—22no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3C22×Dic514yes—
426C23×C3C23×D511yescharacteristic
427C22×D3—21no—
428C22×D3—21no—
429C22×D3—21no—
430C22×D3—21no—
431C22×D3—21no—
432C22×D3—21no—
433C22×D3C22×Dic512yes—
434C3×D4—28no—
435C2×C3×C4—52no—
436C2×C3×C4—101no—
437C2×C3×C4—101no—
438C2×C3×C4—101no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—101no—
442C2×C3×C4—102no—
443C2×C3×C4—101no—
444C2×C3×C4C22×Dic512yes—
445C2×C3×C4C2×C22⋊D512yes—
446C2×C3×C4C2×C22⋊D512yes—
447#67—216no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—216no—
451C2×Dic3—52no—
452C2×Dic3—101no—
453C2×Dic3—101no—
454C2×Dic3—101no—
455C2×Dic3—102no—
456C2×Dic3—102no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—102no—
460C2×Dic3C22×Dic512yes—
461C2×Dic3C22×Dic514yes—
462C2×Dic3C2×C22⋊D514yes—
463C2×Dic3C2×C22⋊D514yes—
464C4×D3—28no—
465Dic6C22⋊Dic5116yescomplemented
466C22×C5—24no—
467C22×C5—24no—
468C22×C5—24no—
469C22×C5—42no—
470C22×C5—42no—
471C22×C5—42no—
472C22×C5—42no—
473C22×C5—62no—
474C22×C5—62no—
475C22×C5—62no—
476C22×C5—121no—
477C22×C5—121no—
478C22×C5—121no—
479C22×C5—121no—
480C22×C5C22×C4×D311yescharacteristic
481C22×C5C2×D3×D411yescharacteristic
482C22×C5C2×D3×D411yescharacteristic
483C22×C5C2×#23711yescharacteristic
484C22×C5#100411yescharacteristic
485C22×C5D3×#4111yescharacteristic
486C22×C5#101011yescharacteristic
487C4×C5—38no—
488C4×C5—62no—
489C4×C5D3×C22⋊C414yes—
490Dic5—22no—
491Dic5—42no—
492Dic5—41no—
493Dic5—62no—
494Dic5—121no—
495Dic5—122no—
496C24—31no—
497C24C2×D3×D512yes—
498#41—632no—
499C2×Q8—34no—
500C2×Q8—34no—
501C2×Q8—34no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—38no—
505C2×D4—64no—
506C2×D4—64no—
507C2×D4D3×Dic514yes—
508C22×C4—32no—
509C22×C4—38no—
510C22×C4—31no—
511C22×C4—34no—
512C22×C4—51no—
513C22×C4—51no—
514C22×C4—52no—
515C22×C4—64no—
516C22×C4—64no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—151no—
520C22×C4—151no—
521C22×C4—152no—
522C22×C4C2×D3×D511yescharacteristic
523C4⋊C4—102no—
524C4⋊C4—304no—
525C4⋊C4—304no—
526C4⋊C4—302no—
527C22⋊C4—104no—
528C22⋊C4—202no—
529C22⋊C4—302no—
530C22⋊C4—302no—
531C22⋊C4—304no—
532C22⋊C4—602no—
533C22⋊C4—602no—
534C42—102no—
535C42—304no—
536C42—304no—
537C42—302no—
538C3×C5#234111yescharacteristic, complemented, Hall
539C22×C3—24no—
540C22×C3—24no—
541C22×C3—24no—
542C22×C3—42no—
543C22×C3—42no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3D5×#4111yescharacteristic
547C22×C3D5×#4111yescharacteristic
548C22×C3#414911yescharacteristic
549C22×C3#415011yescharacteristic
550C22×C3C23×Dic511yescharacteristic
551C22×C3C22×C22⋊D511yescharacteristic
552C22×C3C22×C22⋊D511yescharacteristic
553C2×D3—22no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—41no—
557C2×D3—41no—
558C2×D3—41no—
559C2×D3—41no—
560C3×C4—102no—
561C3×C4—202no—
562C3×C4—201no—
563C3×C4C2×C22⋊Dic514yes—
564Dic3—22no—
565Dic3—102no—
566Dic3—201no—
567Dic3—202no—
568Dic3C2×C22⋊Dic518yes—
569C2×C5—44no—
570C2×C5—122no—
571C2×C5C2×D3×C22⋊C411yescharacteristic
572C2×C5C4×#23711yescharacteristic
573C2×C5#554611yescharacteristic
574C2×C5#559811yescharacteristic
575C2×C5#559911yescharacteristic
576C2×C5#567711yescharacteristic
577C2×C5#571811yescharacteristic
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—32no—
585C23—61no—
586C23—61no—
587C23—61no—
588C23—61no—
589C23—61no—
590C23—61no—
591C23C2×D3×Dic514yes—
592C23C22×D3×D511yescharacteristic
593Q8—316no—
594D4—28no—
595D4—616no—
596C2×C4—34no—
597C2×C4—34no—
598C2×C4—34no—
599C2×C4—32no—
600C2×C4—52no—
601C2×C4—616no—
602C2×C4—61no—
603C2×C4—61no—
604C2×C4—68no—
605C2×C4—101no—
606C2×C4—101no—
607C2×C4—102no—
608C2×C4—101no—
609C2×C4—101no—
610C2×C4—102no—
611C2×C4—101no—
612C2×C4—102no—
613C2×C4—152no—
614C2×C4—301no—
615C2×C4—301no—
616C2×C4—301no—
617C2×C4—302no—
618C2×C4—301no—
619C2×C4—302no—
620C2×C4—301no—
621C2×C4—302no—
622C2×C4C2×D3×Dic512yes—
623C2×C4D3×C22⋊D512yes—
624C2×C4D3×C22⋊D512yes—
625C2×C3—44no—
626C2×C3#41×Dic511yescharacteristic
627C2×C3#6616111yescharacteristic
628C2×C3#6616511yescharacteristic
629C2×C3#6616511yescharacteristic
630C2×C3#6616811yescharacteristic
631C2×C3#6616811yescharacteristic
632C2×C3C22×C22⋊Dic511yescharacteristic
633D3—42no—
634C5#7630111yescharacteristic, complemented, Sylow
635C22—24no—
636C22—24no—
637C22—24no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—62no—
643C22—62no—
644C22—62no—
645C22—121no—
646C22—121no—
647C22—121no—
648C22—121no—
649C22#9202011yescharacteristic
650C22D5×#23711yescharacteristic
651C22#9202411yescharacteristic
652C22#9202611yescharacteristic
653C22C22×D3×Dic511yescharacteristic
654C22C2×D3×C22⋊D511yescharacteristic
655C22C2×D3×C22⋊D511yescharacteristic
656C4—38no—
657C4—62no—
658C4—102no—
659C4—202no—
660C4—201no—
661C4—302no—
662C4—601no—
663C4—602no—
664C4D3×C22⋊Dic514yes—
665C3#1061582011yescharacteristic, complemented, Sylow
666C2—44no—
667C2—122no—
668C2#1175480211yescharacteristic
669C2#1175480711yescharacteristic
670C2Dic5×#23711yescharacteristic
671C2#1175492011yescharacteristic
672C2#1175494811yescharacteristic
673C2#1175495111yescharacteristic
674C2C2×D3×C22⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#237C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2341
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×#91344C2semidirect
3. C2×Dic5×Dic6C2semidirect
4. #11751322C2semidirect
5. C3×#65510C2semidirect
6. #11749513C2semidirect
7. Dic3×C22⋊Dic5C2semidirect
8. #11749482C2semidirect
9. #11749482C2semidirect
10. #11748786C2semidirect
11. C4×(C2×D3)⋊Dic5C2semidirect
18. C2×C5×#237C4semidirect
48. #65510D3semidirect
162. C2×Dic15#41semidirect
172. C5×Dic6C22⋊C4semidirect
181. C2×C3×Dic5#41semidirect
187. C2×#237Dic5semidirect
381. C2×Dic5#237semidirect
465. Dic6C22⋊Dic5semidirect
538. C3×C5#2341semidirect
634. C5#76301semidirect
665. C3#10615820semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#2372
C2×#913442
C2×Dic5×Dic62
#117513222
C3×#655102
#117495132
Dic3×C22⋊Dic52
#117494822
#117487862
C4×(C2×D3)⋊Dic52
#106158203
#763015