Finite Group Databasebeta

← C31×#15882 #21472641

Subgroups — C31×#15882 #21472641

Order 7936.

1826 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#125C211yesmaximal, characteristic, complemented
2C2×C31×#394C211yesmaximal, characteristic
3C2×C31×#394C211yesmaximal, characteristic
4C2×C31×#390C211yesmaximal, characteristic
5C31×#1445C211yesmaximal, characteristic, complemented
6C31×#1439C212yesmaximal, complemented
7C31×#1439C212yesmaximal, complemented
8C31×#1439C212yesmaximal, complemented
9C31×#1437C212yesmaximal, complemented
10C31×#1436C211yesmaximal, characteristic, complemented
11C31×#1436C211yesmaximal, characteristic, complemented
12C23×D4×C31C2211yescharacteristic
13C2×C31×#125—24no—
14C2×C31×#125—24no—
15C2×C31×#125—24no—
16C22×C4⋊C4×C31C2211yescharacteristic
17C22×C4⋊C4×C31C2211yescharacteristic
18C22×C4⋊C4×C31C2211yescharacteristic
19C22×C4⋊C4×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C22×C22⋊C4×C31C2212yes—
23C22×C22⋊C4×C31C2212yes—
24C22×C22⋊C4×C31C2212yes—
25C22×C22⋊C4×C31C2212yes—
26C22×C22⋊C4×C31C2212yes—
27C22×C22⋊C4×C31C2212yes—
28C22×C42×C31C2211yescharacteristic
29C22×C42×C31C2211yescharacteristic
30C31×#394—24no—
31C31×#394—24no—
32C31×#390—24no—
33C2×C31×#95C2211yescharacteristic
34C2×C31×#95C2211yescharacteristic
35C2×C31×#95C2212yes—
36C2×C31×#95C2212yes—
37C2×C31×#95C2212yes—
38C2×C31×#95C2212yes—
39C2×C31×#95C2212yes—
40C2×C31×#95C2212yes—
41C25×C31C2312yes—
42C22×D4×C31—24no—
43C22×D4×C31—22no—
44C22×D4×C31—22no—
45C22×D4×C31—22no—
46C22×D4×C31—42no—
47C23×C4×C31C2312yes—
48C23×C4×C31C2312yes—
49C23×C4×C31C2311yescharacteristic
50C23×C4×C31C2311yescharacteristic
51C23×C4×C31C2311yescharacteristic
52C23×C4×C31C2311yescharacteristic
53C23×C4×C31C2311yescharacteristic
54C23×C4×C31C2312yes—
55C23×C4×C31C2311yescharacteristic
56C23×C4×C31C2311yescharacteristic
57C31×#125—232no—
58C2×C4⋊C4×C31—22no—
59C2×C4⋊C4×C31—22no—
60C2×C4⋊C4×C31—22no—
61C2×C4⋊C4×C31—22no—
62C2×C4⋊C4×C31—22no—
63C2×C4⋊C4×C31—22no—
64C2×C4⋊C4×C31—22no—
65C2×C4⋊C4×C31—22no—
66C2×C4⋊C4×C31—22no—
67C2×C4⋊C4×C31—22no—
68C2×C4⋊C4×C31—22no—
69C2×C4⋊C4×C31—22no—
70C2×C4⋊C4×C31—22no—
71C2×C4⋊C4×C31—22no—
72C2×C4⋊C4×C31—22no—
73C2×C4⋊C4×C31D414yes—
74C2×C4⋊C4×C31D414yes—
75C2×C4⋊C4×C31D414yes—
76C2×C22⋊C4×C31—24no—
77C2×C22⋊C4×C31—24no—
78C2×C22⋊C4×C31—24no—
79C2×C22⋊C4×C31—24no—
80C2×C22⋊C4×C31—24no—
81C2×C22⋊C4×C31—24no—
82C2×C22⋊C4×C31—24no—
83C2×C22⋊C4×C31—24no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—24no—
86C2×C22⋊C4×C31—24no—
87C2×C22⋊C4×C31—24no—
88C2×C22⋊C4×C31—42no—
89C2×C22⋊C4×C31—42no—
90C2×C22⋊C4×C31—42no—
91C2×C22⋊C4×C31—42no—
92C2×C22⋊C4×C31—42no—
93C2×C22⋊C4×C31—42no—
94C2×C42×C31—22no—
95C2×C42×C31—22no—
96C2×C42×C31—22no—
97C2×C42×C31—22no—
98C2×C42×C31—42no—
99C31×#95—22no—
100C31×#95—22no—
101C31×#95—24no—
102C31×#95—24no—
103C31×#95—42no—
104C31×#95—42no—
105C31×#95—42no—
106C31×#95—42no—
107C24×C31—22no—
108C24×C31—22no—
109C24×C31—22no—
110C24×C31—22no—
111C24×C31—22no—
112C24×C31—22no—
113C24×C31—22no—
114C24×C31—22no—
115C24×C31—22no—
116C24×C31—22no—
117C24×C31—22no—
118C24×C31—22no—
119C24×C31—22no—
120C24×C31—22no—
121C24×C31#4114yes—
122C24×C31C2411yescharacteristic
123C2×D4×C31—28no—
124C2×D4×C31—48no—
125C2×D4×C31—48no—
126C2×D4×C31—44no—
127C2×D4×C31—44no—
128C22×C4×C31—21no—
129C22×C4×C31—21no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—22no—
134C22×C4×C31—21no—
135C22×C4×C31—21no—
136C22×C4×C31—21no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—22no—
148C22×C4×C31—22no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—22no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—22no—
157C22×C4×C31—22no—
158C22×C4×C31—22no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—22no—
163C22×C4×C31—22no—
164C22×C4×C31—22no—
165C22×C4×C31—22no—
166C22×C4×C31—22no—
167C22×C4×C31—22no—
168C22×C4×C31—22no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—22no—
172C22×C4×C31—22no—
173C22×C4×C31C2×D412yes—
174C22×C4×C31C2×D412yes—
175C22×C4×C31C2×D412yes—
176C22×C4×C31C2×D412yes—
177C22×C4×C31C2×D412yes—
178C22×C4×C31C2×D412yes—
179C22×C4×C31C2×D412yes—
180C22×C4×C31C2×D412yes—
181C22×C4×C31C2×D412yes—
182C22×C4×C31#4114yes—
183C22×C4×C31#4114yes—
184C4⋊C4×C31—28no—
185C4⋊C4×C31—28no—
186C4⋊C4×C31—28no—
187C4⋊C4×C31—28no—
188C4⋊C4×C31—28no—
189C4⋊C4×C31—28no—
190C22⋊C4×C31—48no—
191C22⋊C4×C31—48no—
192C22⋊C4×C31—48no—
193C22⋊C4×C31—48no—
194C22⋊C4×C31—48no—
195C22⋊C4×C31—48no—
196C42×C31—28no—
197C42×C31—44no—
198#15882C3111yesmaximal, characteristic, direct product factor, Sylow
199C23×C31—24no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—24no—
206C23×C31—42no—
207C23×C31—42no—
208C23×C31—42no—
209C23×C31—42no—
210C23×C31—42no—
211C23×C31—42no—
212C23×C31—42no—
213C23×C31—42no—
214C23×C31—42no—
215C23×C31—42no—
216C23×C31—42no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—42no—
220C23×C31—42no—
221C23×C31—42no—
222C23×C31—42no—
223C23×C31—42no—
224C23×C31—42no—
225C23×C31—42no—
226C23×C31—42no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—42no—
232C23×C31—42no—
233C23×C31—42no—
234C23×C31C22×D411yescharacteristic
235C23×C31C22×D411yescharacteristic
236C23×C31C22×D411yescharacteristic
237C23×C31C2×#4112yes—
238C23×C31C2×#4112yes—
239C23×C31C2×#4112yes—
240C23×C31H(5,𝔽2)12yes—
241C23×C31H(5,𝔽2)12yes—
242C23×C312−1+412yes—
243D4×C31—416no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—22no—
247C2×C4×C31—22no—
248C2×C4×C31—24no—
249C2×C4×C31—24no—
250C2×C4×C31—24no—
251C2×C4×C31—24no—
252C2×C4×C31—22no—
253C2×C4×C31—22no—
254C2×C4×C31—22no—
255C2×C4×C31—22no—
256C2×C4×C31—22no—
257C2×C4×C31—22no—
258C2×C4×C31—22no—
259C2×C4×C31—24no—
260C2×C4×C31—24no—
261C2×C4×C31—24no—
262C2×C4×C31—24no—
263C2×C4×C31—24no—
264C2×C4×C31—24no—
265C2×C4×C31—24no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—42no—
271C2×C4×C31—41no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—42no—
276C2×C4×C31—42no—
277C2×C4×C31—42no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—42no—
298C2×C4×C31#12014yes—
299C2×C4×C31#12414yes—
300C22×#125C2×C3111yescharacteristic, complemented
301C2×#394C2×C3111yescharacteristic
302C2×#394C2×C3111yescharacteristic
303C2×#390C2×C3111yescharacteristic
304#1445C2×C3111yescharacteristic, complemented
305#1439C2×C3112yescomplemented
306#1439C2×C3112yescomplemented
307#1439C2×C3112yescomplemented
308#1437C2×C3112yescomplemented
309#1436C2×C3111yescharacteristic, complemented
310#1436C2×C3111yescharacteristic, complemented
311C22×C31—44no—
312C22×C31—44no—
313C22×C31—44no—
314C22×C31—44no—
315C22×C31—44no—
316C22×C31—44no—
317C22×C31—44no—
318C22×C31—82no—
319C22×C31—82no—
320C22×C31—82no—
321C22×C31—82no—
322C22×C31—82no—
323C22×C31—82no—
324C22×C31—82no—
325C22×C31—82no—
326C22×C31C2×#12011yescharacteristic
327C22×C31#52511yescharacteristic
328C22×C31C2×#12411yescharacteristic
329C22×C31#52912yes—
330C22×C31#53211yescharacteristic
331C22×C31#53511yescharacteristic
332C22×C31#53511yescharacteristic
333C22×C31#53611yescharacteristic
334C22×C31#53912yes—
335C22×C31#53912yes—
336C22×C31#54012yes—
337C22×C31#54612yes—
338C22×C31#54612yes—
339C22×C31#54612yes—
340C22×C31#54812yes—
341C22×C31#54812yes—
342C22×C31#55012yes—
343C22×C31#55212yes—
344C22×C31#55312yes—
345C22×C31#55312yes—
346C22×C31#56212yes—
347C4×C31—24no—
348C4×C31—24no—
349C4×C31—42no—
350C4×C31—42no—
351C4×C31—42no—
352C4×C31—42no—
353C4×C31—42no—
354C4×C31—44no—
355C4×C31—82no—
356C4×C31—82no—
357C23×D4C22×C3111yescharacteristic
358C2×#125—24no—
359C2×#125—24no—
360C2×#125—24no—
361C22×C4⋊C4C22×C3111yescharacteristic
362C22×C4⋊C4C22×C3111yescharacteristic
363C22×C4⋊C4C22×C3111yescharacteristic
364C22×C4⋊C4C22×C3111yescharacteristic
365C22×C4⋊C4C22×C3111yescharacteristic
366C22×C4⋊C4C22×C3111yescharacteristic
367C22×C22⋊C4C22×C3112yes—
368C22×C22⋊C4C22×C3112yes—
369C22×C22⋊C4C22×C3112yes—
370C22×C22⋊C4C22×C3112yes—
371C22×C22⋊C4C22×C3112yes—
372C22×C22⋊C4C22×C3112yes—
373C22×C42C22×C3111yescharacteristic
374C22×C42C22×C3111yescharacteristic
375#394—24no—
376#394—24no—
377#390—24no—
378C2×#95C22×C3111yescharacteristic
379C2×#95C22×C3111yescharacteristic
380C2×#95C22×C3112yes—
381C2×#95C22×C3112yes—
382C2×#95C22×C3112yes—
383C2×#95C22×C3112yes—
384C2×#95C22×C3112yes—
385C2×#95C22×C3112yes—
386C2×C31—84no—
387C2×C31#240411yescharacteristic
388C2×C31#243111yescharacteristic
389C2×C31#243611yescharacteristic
390C2×C31#246012yes—
391C2×C31#249012yes—
392C2×C31#255812yes—
393C2×C31#269412yes—
394C2×C31#271112yes—
395C2×C31#271112yes—
396C25C23×C3112yes—
397C22×D4—24no—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—22no—
401C22×D4—42no—
402C23×C4C23×C3112yes—
403C23×C4C23×C3112yes—
404C23×C4C23×C3111yescharacteristic
405C23×C4C23×C3111yescharacteristic
406C23×C4C23×C3111yescharacteristic
407C23×C4C23×C3111yescharacteristic
408C23×C4C23×C3111yescharacteristic
409C23×C4C23×C3112yes—
410C23×C4C23×C3111yescharacteristic
411C23×C4C23×C3111yescharacteristic
412#125—232no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—22no—
423C2×C4⋊C4—22no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4D4×C3114yes—
429C2×C4⋊C4D4×C3114yes—
430C2×C4⋊C4D4×C3114yes—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—42no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449C2×C42—22no—
450C2×C42—22no—
451C2×C42—22no—
452C2×C42—22no—
453C2×C42—42no—
454#95—22no—
455#95—22no—
456#95—24no—
457#95—24no—
458#95—42no—
459#95—42no—
460#95—42no—
461#95—42no—
462C31#1588211yescharacteristic, direct product factor, Sylow
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24#41×C3114yes—
478C24C24×C3111yescharacteristic
479C2×D4—28no—
480C2×D4—48no—
481C2×D4—48no—
482C2×D4—44no—
483C2×D4—44no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4C2×D4×C3112yes—
530C22×C4C2×D4×C3112yes—
531C22×C4C2×D4×C3112yes—
532C22×C4C2×D4×C3112yes—
533C22×C4C2×D4×C3112yes—
534C22×C4C2×D4×C3112yes—
535C22×C4C2×D4×C3112yes—
536C22×C4C2×D4×C3112yes—
537C22×C4C2×D4×C3112yes—
538C22×C4#41×C3114yes—
539C22×C4#41×C3114yes—
540C4⋊C4—28no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—28no—
544C4⋊C4—28no—
545C4⋊C4—28no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C42—28no—
553C42—44no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23C22×D4×C3111yescharacteristic
590C23C22×D4×C3111yescharacteristic
591C23C22×D4×C3111yescharacteristic
592C23C2×#41×C3112yes—
593C23C2×#41×C3112yes—
594C23C2×#41×C3112yes—
595C23C31×H(5,𝔽2)12yes—
596C23C31×H(5,𝔽2)12yes—
597C23C31×2−1+412yes—
598D4—416no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4C31×#12014yes—
654C2×C4C31×#12414yes—
655C22—44no—
656C22—44no—
657C22—44no—
658C22—44no—
659C22—44no—
660C22—44no—
661C22—44no—
662C22—82no—
663C22—82no—
664C22—82no—
665C22—82no—
666C22—82no—
667C22—82no—
668C22—82no—
669C22—82no—
670C22C2×C31×#12011yescharacteristic
671C22C31×#52511yescharacteristic
672C22C2×C31×#12411yescharacteristic
673C22C31×#52912yes—
674C22C31×#53211yescharacteristic
675C22C31×#53511yescharacteristic
676C22C31×#53511yescharacteristic
677C22C31×#53611yescharacteristic
678C22C31×#53912yes—
679C22C31×#53912yes—
680C22C31×#54012yes—
681C22C31×#54612yes—
682C22C31×#54612yes—
683C22C31×#54612yes—
684C22C31×#54812yes—
685C22C31×#54812yes—
686C22C31×#55012yes—
687C22C31×#55212yes—
688C22C31×#55312yes—
689C22C31×#55312yes—
690C22C31×#56212yes—
691C4—24no—
692C4—24no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—44no—
699C4—82no—
700C4—82no—
701C2—84no—
702C2C31×#240411yescharacteristic
703C2C31×#243111yescharacteristic
704C2C31×#243611yescharacteristic
705C2C31×#246012yes—
706C2C31×#249012yes—
707C2C31×#255812yes—
708C2C31×#269412yes—
709C2C31×#271112yes—
710C2C31×#271112yes—
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC23×D4×C31C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C31×#125C2semidirect
5. C31×#1445C2semidirect
6. C31×#1439C2semidirect
7. C31×#1439C2semidirect
8. C31×#1439C2semidirect
9. C31×#1437C2semidirect
10. C31×#1436C2semidirect
11. C31×#1436C2semidirect
198. #15882C31direct (N × H)
300. C22×#125C2×C31semidirect
304. #1445C2×C31semidirect
305. #1439C2×C31semidirect
306. #1439C2×C31semidirect
307. #1439C2×C31semidirect
308. #1437C2×C31semidirect
309. #1436C2×C31semidirect
310. #1436C2×C31semidirect
462. C31#15882direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1252
C2×C31×#3942
C2×C31×#3902
C31×#14452
C31×#14392
C31×#14372
C31×#14362
#1588231