Finite Group Databasebeta

← C3×#10608620 #14331611

Subgroups — C3×#10608620 #14331611

Order 1920.

1888 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#711C211yesmaximal, characteristic, complemented
2C2×C3×#4039C211yesmaximal, characteristic, complemented
3C2×C3×#4027C212yesmaximal, complemented
4C3×C5×#394C211yesmaximal, characteristic, complemented
5C3×#65512C211yesmaximal, characteristic, complemented
6C3×#65268C211yesmaximal, characteristic, complemented
7C3×#65249C212yesmaximal, complemented
8C3×#65248C212yesmaximal, complemented
9C3×C22⋊C4×Dic5C212yesmaximal, complemented
10C3×#64962C211yesmaximal, characteristic, complemented
11C3×#64955C211yesmaximal, characteristic, complemented
12#10608620C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×C3×C22⋊D5C2212yes—
15C22×C3×C22⋊D5C2212yes—
16C23×C3×Dic5C2212yes—
17C2×C3×#711—28no—
18C2×C3×#711—24no—
19C22×C3×D20C2211yescharacteristic
20C22×C3×C4×D5C2211yescharacteristic
21C22×C3×C4×D5C2211yescharacteristic
22C22×C3×Dic10C2211yescharacteristic
23C2×C3×C5×C4⋊C4C2211yescharacteristic
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C5×C22⋊C4C2212yes—
26C2×C3×C22⋊Dic5C2212yes—
27C2×C3×#685C2212yes—
28C2×C3×#685C2212yes—
29C2×C3×#685C2211yescharacteristic
30C2×C3×#685C2211yescharacteristic
31C2×C3×#683C2212yes—
32C2×C3×C4×Dic5C2212yes—
33C2×C3×C4×Dic5C2211yescharacteristic
34C3×#4039—24no—
35C3×#4027—28no—
36C3×C5×#95C2211yescharacteristic
37C3×#3963C2211yescharacteristic
38C3×#3963C2212yes—
39C3×#3963C2212yes—
40C3×#2388—51nomaximal, Hall
41C22×#711C2×C311yescharacteristic, complemented
42C2×#4039C2×C311yescharacteristic, complemented
43C2×#4027C2×C312yescomplemented
44C5×#394C2×C311yescharacteristic, complemented
45#65512C2×C311yescharacteristic, complemented
46#65268C2×C311yescharacteristic, complemented
47#65249C2×C312yescomplemented
48#65248C2×C312yescomplemented
49C22⋊C4×Dic5C2×C312yescomplemented
50#64962C2×C311yescharacteristic, complemented
51#64955C2×C311yescharacteristic, complemented
52C24×C3×C5C2312yes—
53C23×C3×D5C2311yescharacteristic
54C23×C3×D5C2311yescharacteristic
55C2×C3×C5×D4—24no—
56C2×C3×C5×D4—22no—
57C22×C3×C4×C5C2312yes—
58C22×C3×C4×C5C2311yescharacteristic
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C2×C3×C22⋊D5—24no—
62C2×C3×C22⋊D5—24no—
63C2×C3×C22⋊D5—24no—
64C2×C3×C22⋊D5—24no—
65C2×C3×C22⋊D5—24no—
66C2×C3×C22⋊D5—24no—
67C22×C3×Dic5—24no—
68C22×C3×Dic5—24no—
69C22×C3×Dic5D418yescomplemented
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2312yes—
73C22×C3×Dic5C2311yescharacteristic
74C3×#711—232no—
75C2×C3×D20—22no—
76C2×C3×D20—22no—
77C2×C3×D20—22no—
78C2×C3×C4×D5—24no—
79C2×C3×C4×D5—24no—
80C2×C3×C4×D5—22no—
81C2×C3×C4×D5D414yescomplemented
82C2×C3×Dic10—22no—
83C2×C3×Dic10—24no—
84C3×C5×C4⋊C4—22no—
85C3×C5×C22⋊C4—24no—
86C3×C5×C22⋊C4—24no—
87C3×C22⋊Dic5—24no—
88C3×#685—22no—
89C3×#685—22no—
90C3×#685—24no—
91C3×#685—24no—
92C3×#683—24no—
93C3×C4×Dic5—24no—
94C3×C4×Dic5—22no—
95C22×C3×#41—51no—
96C2×C3×C4×D4—51no—
97C2×C3×C4×D4—52no—
98C3×#395—51no—
99C3×#394—52no—
100C3×#394D511yescharacteristic, complemented
101C3×#393—51no—
102C3×#392—51no—
103C3×#392—52no—
104C3×C4×C22⋊C4—52no—
105C3×C4×C22⋊C4—51no—
106C22×C5×D4C22×C311yescharacteristic
107C22×C22⋊D5C22×C312yes—
108C22×C22⋊D5C22×C312yes—
109C23×Dic5C22×C312yes—
110C2×#711—28no—
111C2×#711—24no—
112C22×D20C22×C311yescharacteristic
113C22×C4×D5C22×C311yescharacteristic
114C22×C4×D5C22×C311yescharacteristic
115C22×Dic10C22×C311yescharacteristic
116C2×C5×C4⋊C4C22×C311yescharacteristic
117C2×C5×C22⋊C4C22×C312yes—
118C2×C5×C22⋊C4C22×C312yes—
119C2×C22⋊Dic5C22×C312yes—
120C2×#685C22×C312yes—
121C2×#685C22×C311yescharacteristic
122C2×#685C22×C311yescharacteristic
123C2×#685C22×C312yes—
124C2×#683C22×C312yes—
125C2×C4×Dic5C22×C312yes—
126C2×C4×Dic5C22×C311yescharacteristic
127#4039—24no—
128#4027—28no—
129C5×#95C22×C311yescharacteristic
130#3963C22×C311yescharacteristic
131#3963C22×C312yes—
132#3963C22×C312yes—
133#2388—51noSylow
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5C2×D414yes—
141C23×C3×C5C2411yescharacteristic
142C22×C3×D5—21no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—21no—
147C22×C3×D5—21no—
148C22×C3×D5—21no—
149C22×C3×D5—22no—
150C22×C3×D5C2×D412yes—
151C22×C3×D5#4112yescomplemented
152C3×C5×D4—28no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—21no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—21no—
159C2×C3×C4×C5—22no—
160C2×C3×C4×C5—22no—
161C2×C3×C4×C5C2×D412yes—
162C2×C3×C4×C5#4112yescomplemented
163C3×C22⋊D5—216no—
164C3×C22⋊D5—216no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—216no—
170C2×C3×Dic5—21no—
171C2×C3×Dic5—22no—
172C2×C3×Dic5C2×D414yes—
173C2×C3×Dic5C2×D414yes—
174C2×C3×Dic5C2×D412yes—
175C2×C3×Dic5#4114yescomplemented
176C3×D20—28no—
177C3×C4×D5—28no—
178C3×C4×D5—44no—
179C3×Dic10—28no—
180C2×C3×#41—108no—
181C2×C3×#41—104no—
182C22×C3×Q8—51no—
183C22×C3×D4—52no—
184C22×C3×D4—52no—
185C22×C3×D4—51no—
186C22×C3×D4C2×D511yescharacteristic
187C23×C3×C4—52no—
188C23×C3×C4—51no—
189C23×C3×C4—51no—
190C3×C4×D4—108no—
191C3×C4×D4—104no—
192C2×C3×C4⋊C4—52no—
193C2×C3×C4⋊C4C2×D511yescharacteristic
194C2×C3×C22⋊C4—52no—
195C2×C3×C22⋊C4—52no—
196C2×C3×C22⋊C4—52no—
197C2×C3×C22⋊C4—51no—
198C2×C3×C22⋊C4—51no—
199C2×C3×C22⋊C4C2×D512yes—
200C2×C3×C22⋊C4C2×D512yes—
201C2×C3×C42—52no—
202C2×C3×C42—51no—
203C3×#95—51no—
204C3×#95—52no—
205C3×#95—52no—
206C3×#95C2×D511yescharacteristic
207C24×C5C23×C312yes—
208C23×D5C23×C311yescharacteristic
209C23×D5C23×C311yescharacteristic
210C2×C5×D4—24no—
211C2×C5×D4—22no—
212C22×C4×C5C23×C311yescharacteristic
213C22×C4×C5C23×C312yes—
214C22×C4×C5C23×C311yescharacteristic
215C22×C4×C5C23×C311yescharacteristic
216C2×C22⋊D5—24no—
217C2×C22⋊D5—24no—
218C2×C22⋊D5—24no—
219C2×C22⋊D5—24no—
220C2×C22⋊D5—24no—
221C2×C22⋊D5—24no—
222C22×Dic5—24no—
223C22×Dic5—24no—
224C22×Dic5C3×D418yescomplemented
225C22×Dic5C23×C311yescharacteristic
226C22×Dic5C23×C312yes—
227C22×Dic5C23×C312yes—
228C22×Dic5C23×C311yescharacteristic
229#711—232no—
230C2×D20—22no—
231C2×D20—22no—
232C2×D20—22no—
233C2×C4×D5—24no—
234C2×C4×D5—24no—
235C2×C4×D5—22no—
236C2×C4×D5C3×D414yescomplemented
237C2×Dic10—22no—
238C2×Dic10—24no—
239C5×C4⋊C4—22no—
240C5×C22⋊C4—24no—
241C5×C22⋊C4—24no—
242C22⋊Dic5—24no—
243#685—22no—
244#685—22no—
245#685—24no—
246#685—24no—
247#683—24no—
248C4×Dic5—24no—
249C4×Dic5—22no—
250C22×#41—51no—
251C2×C4×D4—51no—
252C2×C4×D4—52no—
253#395—51no—
254#394—52no—
255#394C3×D511yescharacteristic, complemented
256#393—51no—
257#392—51no—
258#392—52no—
259C4×C22⋊C4—52no—
260C4×C22⋊C4—51no—
261C22×C3×C5—24no—
262C22×C3×C5—24no—
263C22×C3×C5—24no—
264C22×C3×C5—42no—
265C22×C3×C5—42no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5C22×D411yescharacteristic
269C22×C3×C5C22×D412yes—
270C22×C3×C5C2×#4111yescharacteristic
271C22×C3×C5C2×#4111yescharacteristic
272C22×C3×C5C2×#4112yes—
273C2×C3×D5—22no—
274C2×C3×D5—22no—
275C2×C3×D5—22no—
276C2×C3×D5—24no—
277C2×C3×D5—22no—
278C2×C3×D5—41no—
279C2×C3×D5—42no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—41no—
283C3×C4×C5—22no—
284C3×C4×C5—22no—
285C3×C4×C5—41no—
286C3×C4×C5—42no—
287C3×Dic5—24no—
288C3×Dic5—24no—
289C3×Dic5—41no—
290C3×Dic5#12014yes—
291C24×C3—51no—
292C24×C3—51no—
293C24×C3C22×D512yes—
294C3×#41—1032no—
295C2×C3×Q8—104no—
296C2×C3×Q8—102no—
297C2×C3×D4—24no—
298C2×C3×D4—22no—
299C2×C3×D4—102no—
300C2×C3×D4—102no—
301C2×C3×D4—104no—
302C2×C3×D4—104no—
303C2×C3×D4—104no—
304C2×C3×D4—104no—
305C2×C3×D4—104no—
306C2×C3×D4—104no—
307C2×C3×D4—102no—
308C22×C3×C4—51no—
309C22×C3×C4—58no—
310C22×C3×C4—52no—
311C22×C3×C4—52no—
312C22×C3×C4—54no—
313C22×C3×C4—51no—
314C22×C3×C4—104no—
315C22×C3×C4—104no—
316C22×C3×C4—102no—
317C22×C3×C4—104no—
318C22×C3×C4—104no—
319C22×C3×C4C22×D512yes—
320C22×C3×C4C22×D511yescharacteristic
321C22×C3×C4C22×D511yescharacteristic
322C22×C3×C4C22×D511yescharacteristic
323C3×C4⋊C4—22no—
324C3×C4⋊C4—104no—
325C3×C22⋊C4—24no—
326C3×C22⋊C4—24no—
327C3×C22⋊C4—104no—
328C3×C22⋊C4—104no—
329C3×C22⋊C4—102no—
330C3×C22⋊C4—104no—
331C3×C22⋊C4—102no—
332C3×C42—102no—
333C3×C42—104no—
334C23×C5—22no—
335C23×C5—22no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5C2×C3×D414yes—
341C23×C5C24×C311yescharacteristic
342C22×D5—21no—
343C22×D5—22no—
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—21no—
347C22×D5—21no—
348C22×D5—21no—
349C22×D5—22no—
350C22×D5C2×C3×D412yes—
351C22×D5C3×#4112yescomplemented
352C5×D4—28no—
353C2×C4×C5—21no—
354C2×C4×C5—22no—
355C2×C4×C5—21no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—21no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5C2×C3×D412yes—
362C2×C4×C5C3×#4112yescomplemented
363C22⋊D5—216no—
364C22⋊D5—216no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—216no—
370C2×Dic5—21no—
371C2×Dic5—22no—
372C2×Dic5C2×C3×D414yes—
373C2×Dic5C2×C3×D414yes—
374C2×Dic5C2×C3×D412yes—
375C2×Dic5C3×#4114yescomplemented
376D20—28no—
377C4×D5—28no—
378C4×D5—44no—
379Dic10—28no—
380C2×#41—108no—
381C2×#41—104no—
382C22×Q8—51no—
383C22×D4—52no—
384C22×D4—52no—
385C22×D4—51no—
386C22×D4C2×C3×D511yescharacteristic
387C23×C4—52no—
388C23×C4—51no—
389C23×C4—51no—
390C4×D4—108no—
391C4×D4—104no—
392C2×C4⋊C4—52no—
393C2×C4⋊C4C2×C3×D511yescharacteristic
394C2×C22⋊C4—52no—
395C2×C22⋊C4—52no—
396C2×C22⋊C4—51no—
397C2×C22⋊C4—51no—
398C2×C22⋊C4—52no—
399C2×C22⋊C4C2×C3×D512yes—
400C2×C22⋊C4C2×C3×D512yes—
401C2×C42—52no—
402C2×C42—51no—
403#95—51no—
404#95—52no—
405#95—52no—
406#95C2×C3×D511yescharacteristic
407C2×C3×C5—44no—
408C2×C3×C5C2×#12011yescharacteristic
409C2×C3×C5#52511yescharacteristic
410C2×C3×C5#52512yes—
411C2×C3×C5#53212yes—
412C2×C3×C5#53211yescharacteristic
413C3×D5—42no—
414C3×D5—42no—
415C23×C3—22no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—22no—
419C23×C3—22no—
420C23×C3—22no—
421C23×C3—52no—
422C23×C3—52no—
423C23×C3—101no—
424C23×C3—102no—
425C23×C3—102no—
426C23×C3—101no—
427C23×C3—101no—
428C23×C3—102no—
429C23×C3—101no—
430C23×C3—102no—
431C23×C3D4×D514yes—
432C23×C3C23×D511yescharacteristic
433C3×Q8—108no—
434C3×D4—28no—
435C3×D4—108no—
436C3×D4—1016no—
437C3×D4—1016no—
438C2×C3×C4—21no—
439C2×C3×C4—22no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—54no—
447C2×C3×C4—52no—
448C2×C3×C4—54no—
449C2×C3×C4—54no—
450C2×C3×C4—108no—
451C2×C3×C4—1016no—
452C2×C3×C4—102no—
453C2×C3×C4—102no—
454C2×C3×C4—102no—
455C2×C3×C4—102no—
456C2×C3×C4—101no—
457C2×C3×C4—102no—
458C2×C3×C4—204no—
459C2×C3×C4D4×D512yes—
460C2×C3×C4#71112yescomplemented
461C22×C5—24no—
462C22×C5—24no—
463C22×C5—24no—
464C22×C5—42no—
465C22×C5—42no—
466C22×C5—42no—
467C22×C5—42no—
468C22×C5C22×C3×D411yescharacteristic
469C22×C5C22×C3×D412yes—
470C22×C5C2×C3×#4111yescharacteristic
471C22×C5C2×C3×#4111yescharacteristic
472C22×C5C2×C3×#4112yes—
473C2×D5—22no—
474C2×D5—22no—
475C2×D5—22no—
476C2×D5—24no—
477C2×D5—22no—
478C2×D5—41no—
479C2×D5—42no—
480C2×D5—42no—
481C2×D5—42no—
482C2×D5—41no—
483C4×C5—22no—
484C4×C5—22no—
485C4×C5—41no—
486C4×C5—42no—
487Dic5—24no—
488Dic5—24no—
489Dic5—41no—
490Dic5C3×#12014yes—
491C24—51no—
492C24—51no—
493C24C22×C3×D512yes—
494#41—1032no—
495C2×Q8—104no—
496C2×Q8—102no—
497C2×D4—24no—
498C2×D4—22no—
499C2×D4—102no—
500C2×D4—102no—
501C2×D4—104no—
502C2×D4—104no—
503C2×D4—104no—
504C2×D4—104no—
505C2×D4—104no—
506C2×D4—104no—
507C2×D4—102no—
508C22×C4—51no—
509C22×C4—58no—
510C22×C4—52no—
511C22×C4—52no—
512C22×C4—54no—
513C22×C4—51no—
514C22×C4—104no—
515C22×C4—104no—
516C22×C4—102no—
517C22×C4—104no—
518C22×C4—104no—
519C22×C4C22×C3×D512yes—
520C22×C4C22×C3×D511yescharacteristic
521C22×C4C22×C3×D511yescharacteristic
522C22×C4C22×C3×D511yescharacteristic
523C4⋊C4—22no—
524C4⋊C4—104no—
525C22⋊C4—24no—
526C22⋊C4—24no—
527C22⋊C4—104no—
528C22⋊C4—104no—
529C22⋊C4—102no—
530C22⋊C4—104no—
531C22⋊C4—102no—
532C42—102no—
533C42—104no—
534C3×C5#238811yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—24no—
538C22×C3—42no—
539C22×C3—42no—
540C22×C3—42no—
541C22×C3—42no—
542C22×C3—102no—
543C22×C3—102no—
544C22×C3—102no—
545C22×C3—104no—
546C22×C3—102no—
547C22×C3—201no—
548C22×C3—202no—
549C22×C3—202no—
550C22×C3—202no—
551C22×C3—201no—
552C22×C3C2×D4×D512yes—
553C22×C3C2×D4×D511yescharacteristic
554C22×C3C2×#71111yescharacteristic
555C22×C3D5×#4112yes—
556C22×C3D5×#4111yescharacteristic
557C3×C4—22no—
558C3×C4—22no—
559C3×C4—41no—
560C3×C4—42no—
561C3×C4—54no—
562C3×C4—104no—
563C3×C4—104no—
564C3×C4—201no—
565C2×C5—44no—
566C2×C5C2×C3×#12011yescharacteristic
567C2×C5C3×#52511yescharacteristic
568C2×C5C3×#52512yes—
569C2×C5C3×#53212yes—
570C2×C5C3×#53211yescharacteristic
571D5—42no—
572D5—42no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—52no—
580C23—52no—
581C23—101no—
582C23—102no—
583C23—102no—
584C23—101no—
585C23—101no—
586C23—102no—
587C23—101no—
588C23—102no—
589C23C3×D4×D514yes—
590C23C23×C3×D511yescharacteristic
591Q8—108no—
592D4—28no—
593D4—108no—
594D4—1016no—
595D4—1016no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—54no—
605C2×C4—52no—
606C2×C4—54no—
607C2×C4—54no—
608C2×C4—108no—
609C2×C4—1016no—
610C2×C4—102no—
611C2×C4—102no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—101no—
615C2×C4—102no—
616C2×C4—204no—
617C2×C4C3×D4×D512yes—
618C2×C4C3×#71112yescomplemented
619C2×C3—44no—
620C2×C3—202no—
621C2×C3—202no—
622C2×C3D5×#12011yescharacteristic
623C2×C3#6593012yes—
624C2×C3#6594011yescharacteristic
625C2×C3#6599012yes—
626C2×C3#6600211yescharacteristic
627C5C3×#238811yescharacteristic, complemented, Sylow
628C22—24no—
629C22—24no—
630C22—24no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—102no—
636C22—102no—
637C22—102no—
638C22—104no—
639C22—102no—
640C22—201no—
641C22—202no—
642C22—202no—
643C22—202no—
644C22—201no—
645C22C2×C3×D4×D512yes—
646C22C2×C3×D4×D511yescharacteristic
647C22C2×C3×#71111yescharacteristic
648C22C3×D5×#4112yes—
649C22C3×D5×#4111yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—42no—
654C4—54no—
655C4—104no—
656C4—104no—
657C4—201no—
658C3#1060862011yescharacteristic, direct product factor, Sylow
659C2—44no—
660C2—202no—
661C2—202no—
662C2C3×D5×#12011yescharacteristic
663C2C3×#6593012yes—
664C2C3×#6594011yescharacteristic
665C2C3×#6599012yes—
666C2C3×#6600211yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutator, cosocleC23×C5C24×C3
FrattiniC23C23×C3×D5
FittingC3×C5×#394C2
socleC23×C3×C5C24
hypercenterC3×#394D5
hypocenterC5C3×#2388
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#394

Complements

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

NH ≅ G/Ntype
1. C22×C3×#711C2semidirect
2. C2×C3×#4039C2semidirect
3. C2×C3×#4027C2semidirect
4. C3×C5×#394C2semidirect
5. C3×#65512C2semidirect
6. C3×#65268C2semidirect
7. C3×#65249C2semidirect
8. C3×#65248C2semidirect
9. C3×C22⋊C4×Dic5C2semidirect
10. C3×#64962C2semidirect
11. C3×#64955C2semidirect
12. #10608620C3direct (N × H)
41. C22×#711C2×C3semidirect
42. C2×#4039C2×C3semidirect
43. C2×#4027C2×C3semidirect
44. C5×#394C2×C3semidirect
45. #65512C2×C3semidirect
46. #65268C2×C3semidirect
47. #65249C2×C3semidirect
48. #65248C2×C3semidirect
49. C22⋊C4×Dic5C2×C3semidirect
50. #64962C2×C3semidirect
51. #64955C2×C3semidirect
69. C22×C3×Dic5D4semidirect
81. C2×C3×C4×D5D4semidirect
100. C3×#394D5semidirect
151. C22×C3×D5#41semidirect
162. C2×C3×C4×C5#41semidirect
175. C2×C3×Dic5#41semidirect
224. C22×Dic5C3×D4semidirect
236. C2×C4×D5C3×D4semidirect
255. #394C3×D5semidirect
351. C22×D5C3×#41semidirect
362. C2×C4×C5C3×#41semidirect
375. C2×Dic5C3×#41semidirect
460. C2×C3×C4#711semidirect
534. C3×C5#2388semidirect
618. C2×C4C3×#711semidirect
627. C5C3×#2388semidirect
658. C3#10608620direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C2×C3×#40392
C2×C3×#40272
C3×C5×#3942
C3×#655122
C3×#652682
C3×#652492
C3×#652482
C3×C22⋊C4×Dic52
C3×#649622
C3×#649552
#106086203
C3×#23885