Finite Group Databasebeta

← C31×#15284 #21472043

Subgroups — C31×#15284 #21472043

Order 7936.

2834 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#399C211yesmaximal, characteristic, complemented
2C2×C31×#388C212yesmaximal, complemented
3C2×C31×#379C211yesmaximal, characteristic
4C2×C31×#379C212yesmaximal
5C31×#1440C212yesmaximal, complemented
6C31×#1440C212yesmaximal, complemented
7C31×#1439C212yesmaximal, complemented
8C31×#1439C212yesmaximal, complemented
9C31×#1437C211yesmaximal, characteristic, complemented
10C26×C31C2211yescharacteristic
11C22×C4⋊C4×C31C2212yescomplemented
12C22×C4⋊C4×C31C2211yescharacteristic, complemented
13C22×C22⋊C4×C31C2211yescharacteristic
14C22×C22⋊C4×C31C2212yes—
15C22×C22⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2212yes—
17C22×C22⋊C4×C31C2212yes—
18C22×C22⋊C4×C31C2212yes—
19C22×C22⋊C4×C31C2212yes—
20C22×C22⋊C4×C31C2212yes—
21C22×C22⋊C4×C31C2212yes—
22C22×C22⋊C4×C31C2211yescharacteristic
23C22×C42×C31C2211yescharacteristic, complemented
24C31×#399—24no—
25C31×#388—28no—
26C31×#379—28no—
27C31×#379—24no—
28C2×C31×#95C2211yescharacteristic, complemented
29C2×C31×#95C2212yescomplemented
30C2×C31×#95C2212yescomplemented
31C2×C31×#95C2211yescharacteristic, complemented
32C2×C31×#95C2212yescomplemented
33C2×C31×#95C2212yescomplemented
34C2×C31×#95C2212yescomplemented
35C25×C31—24no—
36C25×C31—22no—
37C25×C31—24no—
38C25×C31—24no—
39C25×C31—24no—
40C25×C31—41no—
41C25×C31—41no—
42C25×C31—42no—
43C25×C31—42no—
44C25×C31C2312yes—
45C25×C31C2311yescharacteristic
46C23×C4×C31C2312yes—
47C23×C4×C31C2312yes—
48C23×C4×C31C2312yes—
49C23×C4×C31C2311yescharacteristic
50C23×C4×C31C2312yes—
51C23×C4×C31C2312yes—
52C23×C4×C31C2311yescharacteristic
53C2×C4⋊C4×C31—24no—
54C2×C4⋊C4×C31—22no—
55C2×C4⋊C4×C31—24no—
56C2×C4⋊C4×C31—42no—
57C2×C4⋊C4×C31—41no—
58C2×C4⋊C4×C31—41no—
59C2×C22⋊C4×C31—24no—
60C2×C22⋊C4×C31—24no—
61C2×C22⋊C4×C31—24no—
62C2×C22⋊C4×C31—24no—
63C2×C22⋊C4×C31—22no—
64C2×C22⋊C4×C31—24no—
65C2×C22⋊C4×C31—24no—
66C2×C22⋊C4×C31—24no—
67C2×C22⋊C4×C31—24no—
68C2×C22⋊C4×C31—24no—
69C2×C22⋊C4×C31—24no—
70C2×C22⋊C4×C31—24no—
71C2×C22⋊C4×C31—24no—
72C2×C22⋊C4×C31—24no—
73C2×C22⋊C4×C31—24no—
74C2×C22⋊C4×C31—24no—
75C2×C22⋊C4×C31—24no—
76C2×C22⋊C4×C31—41no—
77C2×C22⋊C4×C31—41no—
78C2×C22⋊C4×C31—42no—
79C2×C22⋊C4×C31—42no—
80C2×C22⋊C4×C31—42no—
81C2×C22⋊C4×C31—42no—
82C2×C22⋊C4×C31—42no—
83C2×C22⋊C4×C31—42no—
84C2×C22⋊C4×C31—42no—
85C2×C22⋊C4×C31—42no—
86C2×C22⋊C4×C31D418yes—
87C2×C22⋊C4×C31D414yes—
88C2×C42×C31—24no—
89C2×C42×C31—41no—
90C31×#95—22no—
91C31×#95—24no—
92C31×#95—24no—
93C31×#95—42no—
94C31×#95—41no—
95C31×#95—42no—
96C31×#95—42no—
97C24×C31—22no—
98C24×C31—22no—
99C24×C31—22no—
100C24×C31—22no—
101C24×C31—22no—
102C24×C31—22no—
103C24×C31—22no—
104C24×C31—22no—
105C24×C31—22no—
106C24×C31—21no—
107C24×C31—21no—
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—28no—
117C24×C31—216no—
118C24×C31—44no—
119C24×C31—48no—
120C24×C31—48no—
121C24×C31—48no—
122C24×C31—48no—
123C24×C31—48no—
124C24×C31—48no—
125C24×C31—48no—
126C24×C31—48no—
127C24×C31—44no—
128C24×C31—44no—
129C24×C31—48no—
130C24×C31—48no—
131C24×C31—48no—
132C24×C31—48no—
133C24×C31—44no—
134C24×C31—44no—
135C24×C31—48no—
136C24×C31—44no—
137C24×C31C2×D414yes—
138C24×C31C2×D412yes—
139C24×C31#4114yes—
140C24×C31#4114yes—
141C24×C31#4114yes—
142C24×C31C2411yescharacteristic
143C22×C4×C31—22no—
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—21no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—22no—
157C22×C4×C31—21no—
158C22×C4×C31—22no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
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×C31—22no—
174C22×C4×C31—22no—
175C22×C4×C31—22no—
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—22no—
182C22×C4×C31—22no—
183C22×C4×C31—22no—
184C22×C4×C31C2×D414yes—
185C22×C4×C31C2×D414yes—
186C22×C4×C31C2×D412yes—
187C22×C4×C31C2×D412yes—
188C4⋊C4×C31—48no—
189C4⋊C4×C31—44no—
190C22⋊C4×C31—216no—
191C22⋊C4×C31—44no—
192C22⋊C4×C31—48no—
193C22⋊C4×C31—48no—
194C22⋊C4×C31—48no—
195C22⋊C4×C31—48no—
196C22⋊C4×C31—48no—
197C22⋊C4×C31—48no—
198C22⋊C4×C31—48no—
199C22⋊C4×C31—44no—
200C42×C31—44no—
201#15284C3111yesmaximal, characteristic, direct product factor, Sylow
202C23×C31—22no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—24no—
206C23×C31—24no—
207C23×C31—22no—
208C23×C31—24no—
209C23×C31—24no—
210C23×C31—24no—
211C23×C31—24no—
212C23×C31—24no—
213C23×C31—24no—
214C23×C31—24no—
215C23×C31—24no—
216C23×C31—24no—
217C23×C31—24no—
218C23×C31—24no—
219C23×C31—24no—
220C23×C31—24no—
221C23×C31—24no—
222C23×C31—24no—
223C23×C31—24no—
224C23×C31—24no—
225C23×C31—24no—
226C23×C31—24no—
227C23×C31—24no—
228C23×C31—24no—
229C23×C31—24no—
230C23×C31—416no—
231C23×C31—432no—
232C23×C31—432no—
233C23×C31—432no—
234C23×C31—432no—
235C23×C31—416no—
236C23×C31—432no—
237C23×C31—416no—
238C23×C31—432no—
239C23×C31—42no—
240C23×C31—42no—
241C23×C31—42no—
242C23×C31—42no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—42no—
247C23×C31—42no—
248C23×C31—42no—
249C23×C31—42no—
250C23×C31—42no—
251C23×C31—41no—
252C23×C31—42no—
253C23×C31—42no—
254C23×C31—42no—
255C23×C31—42no—
256C23×C31—42no—
257C23×C31—42no—
258C23×C31—42no—
259C23×C31—41no—
260C23×C31—42no—
261C23×C31—41no—
262C23×C31—42no—
263C23×C31—42no—
264C23×C31—41no—
265C23×C31#12318yes—
266C23×C31#12414yes—
267C23×C31C22×D412yes—
268C23×C31C22×D411yescharacteristic
269C23×C31C2×#4112yes—
270C23×C31C2×#4112yes—
271C23×C31C2×#4112yes—
272C23×C31H(5,𝔽2)11yescharacteristic
273C23×C31H(5,𝔽2)11yescharacteristic
274C23×C31H(5,𝔽2)12yes—
275C23×C31H(5,𝔽2)12yes—
276C2×C4×C31—24no—
277C2×C4×C31—24no—
278C2×C4×C31—22no—
279C2×C4×C31—22no—
280C2×C4×C31—24no—
281C2×C4×C31—24no—
282C2×C4×C31—24no—
283C2×C4×C31—24no—
284C2×C4×C31—24no—
285C2×C4×C31—24no—
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—41no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—41no—
298C2×C4×C31—41no—
299C2×C4×C31—41no—
300C2×C4×C31—42no—
301C2×C4×C31—42no—
302C2×C4×C31—42no—
303C2×C4×C31—42no—
304C2×C4×C31—42no—
305C2×C4×C31—42no—
306C2×C4×C31—42no—
307C2×C4×C31—42no—
308C2×C4×C31—42no—
309C2×C4×C31—42no—
310C2×C4×C31—42no—
311C2×C4×C31—42no—
312C2×C4×C31—42no—
313C2×C4×C31—42no—
314C2×C4×C31—42no—
315C2×C4×C31—42no—
316C2×C4×C31—42no—
317C2×C4×C31—42no—
318C2×C4×C31—42no—
319C2×C4×C31—42no—
320C2×C4×C31—42no—
321C2×#399C2×C3111yescharacteristic, complemented
322C2×#388C2×C3112yescomplemented
323C2×#379C2×C3111yescharacteristic
324C2×#379C2×C3112yes—
325#1440C2×C3112yescomplemented
326#1440C2×C3112yescomplemented
327#1439C2×C3112yescomplemented
328#1439C2×C3112yescomplemented
329#1437C2×C3111yescharacteristic, complemented
330C22×C31—24no—
331C22×C31—28no—
332C22×C31—28no—
333C22×C31—28no—
334C22×C31—28no—
335C22×C31—464no—
336C22×C31—44no—
337C22×C31—42no—
338C22×C31—44no—
339C22×C31—44no—
340C22×C31—44no—
341C22×C31—44no—
342C22×C31—44no—
343C22×C31—44no—
344C22×C31—44no—
345C22×C31—44no—
346C22×C31—42no—
347C22×C31—44no—
348C22×C31—44no—
349C22×C31—44no—
350C22×C31—44no—
351C22×C31—44no—
352C22×C31—44no—
353C22×C31—44no—
354C22×C31—44no—
355C22×C31C2×#12312yes—
356C22×C31#52511yescharacteristic
357C22×C31#52512yes—
358C22×C31C2×#12411yescharacteristic
359C22×C31#53411yescharacteristic
360C22×C31#53512yes—
361C22×C31#53812yes—
362C22×C31#53812yes—
363C22×C31#53812yes—
364C22×C31D4211yescharacteristic
365C22×C31D4212yes—
366C22×C31#54612yes—
367C22×C31#54612yes—
368C22×C31#54612yes—
369C22×C31#55112yes—
370C22×C31#55112yes—
371C22×C31#55112yes—
372C22×C31#55111yescharacteristic
373C22×C31#55112yes—
374C22×C31#56011yescharacteristic
375C22×C31#56011yescharacteristic
376C4×C31—42no—
377C4×C31—44no—
378C4×C31—44no—
379C4×C31—42no—
380C4×C31—82no—
381C4×C31—82no—
382C4×C31—82no—
383C26C22×C3111yescharacteristic
384C22×C4⋊C4C22×C3112yescomplemented
385C22×C4⋊C4C22×C3111yescharacteristic, complemented
386C22×C22⋊C4C22×C3111yescharacteristic
387C22×C22⋊C4C22×C3112yes—
388C22×C22⋊C4C22×C3112yes—
389C22×C22⋊C4C22×C3112yes—
390C22×C22⋊C4C22×C3112yes—
391C22×C22⋊C4C22×C3112yes—
392C22×C22⋊C4C22×C3112yes—
393C22×C22⋊C4C22×C3112yes—
394C22×C22⋊C4C22×C3112yes—
395C22×C22⋊C4C22×C3111yescharacteristic
396C22×C42C22×C3111yescharacteristic, complemented
397#399—24no—
398#388—28no—
399#379—28no—
400#379—24no—
401C2×#95C22×C3111yescharacteristic, complemented
402C2×#95C22×C3112yescomplemented
403C2×#95C22×C3112yescomplemented
404C2×#95C22×C3111yescharacteristic, complemented
405C2×#95C22×C3112yescomplemented
406C2×#95C22×C3112yescomplemented
407C2×#95C22×C3112yescomplemented
408C2×C31—44no—
409C2×C31—48no—
410C2×C31#241812yes—
411C2×C31#241812yes—
412C2×C31#247212yes—
413C2×C31#248212yes—
414C2×C31#256111yescharacteristic
415C2×C31#266911yescharacteristic
416C2×C31#268512yes—
417C2×C31#269711yescharacteristic
418C2×C31#273512yes—
419C25—24no—
420C25—22no—
421C25—24no—
422C25—24no—
423C25—24no—
424C25—41no—
425C25—41no—
426C25—42no—
427C25—42no—
428C25C23×C3112yes—
429C25C23×C3111yescharacteristic
430C23×C4C23×C3112yes—
431C23×C4C23×C3112yes—
432C23×C4C23×C3112yes—
433C23×C4C23×C3111yescharacteristic
434C23×C4C23×C3112yes—
435C23×C4C23×C3111yescharacteristic
436C23×C4C23×C3112yes—
437C2×C4⋊C4—24no—
438C2×C4⋊C4—24no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—42no—
441C2×C4⋊C4—41no—
442C2×C4⋊C4—41no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—41no—
461C2×C22⋊C4—41no—
462C2×C22⋊C4—42no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—42no—
465C2×C22⋊C4—42no—
466C2×C22⋊C4—42no—
467C2×C22⋊C4—42no—
468C2×C22⋊C4—42no—
469C2×C22⋊C4—42no—
470C2×C22⋊C4D4×C3118yes—
471C2×C22⋊C4D4×C3114yes—
472C2×C42—24no—
473C2×C42—41no—
474#95—24no—
475#95—24no—
476#95—22no—
477#95—42no—
478#95—41no—
479#95—42no—
480#95—42no—
481C31#1528411yescharacteristic, direct product factor, Sylow
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—216no—
502C24—28no—
503C24—44no—
504C24—48no—
505C24—48no—
506C24—48no—
507C24—48no—
508C24—48no—
509C24—48no—
510C24—48no—
511C24—48no—
512C24—44no—
513C24—44no—
514C24—48no—
515C24—48no—
516C24—48no—
517C24—48no—
518C24—44no—
519C24—44no—
520C24—48no—
521C24—44no—
522C24C2×D4×C3114yes—
523C24C2×D4×C3112yes—
524C24#41×C3114yes—
525C24#41×C3114yes—
526C24#41×C3114yes—
527C24C24×C3111yescharacteristic
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4C2×D4×C3114yes—
570C22×C4C2×D4×C3114yes—
571C22×C4C2×D4×C3112yes—
572C22×C4C2×D4×C3112yes—
573C4⋊C4—48no—
574C4⋊C4—44no—
575C22⋊C4—216no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C42—44no—
586C23—24no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—432no—
615C23—432no—
616C23—432no—
617C23—432no—
618C23—416no—
619C23—416no—
620C23—432no—
621C23—416no—
622C23—432no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—41no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—41no—
644C23—42no—
645C23—41no—
646C23—42no—
647C23—42no—
648C23—41no—
649C23C31×#12318yes—
650C23C31×#12414yes—
651C23C22×D4×C3112yes—
652C23C22×D4×C3111yescharacteristic
653C23C2×#41×C3112yes—
654C23C2×#41×C3112yes—
655C23C2×#41×C3112yes—
656C23C31×H(5,𝔽2)11yescharacteristic
657C23C31×H(5,𝔽2)11yescharacteristic
658C23C31×H(5,𝔽2)12yes—
659C23C31×H(5,𝔽2)12yes—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C22—28no—
706C22—28no—
707C22—28no—
708C22—28no—
709C22—24no—
710C22—464no—
711C22—42no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22C2×C31×#12312yes—
731C22C31×#52511yescharacteristic
732C22C31×#52512yes—
733C22C2×C31×#12411yescharacteristic
734C22C31×#53411yescharacteristic
735C22C31×#53512yes—
736C22C31×#53812yes—
737C22C31×#53812yes—
738C22C31×#53812yes—
739C22D42×C3111yescharacteristic
740C22D42×C3112yes—
741C22C31×#54612yes—
742C22C31×#54612yes—
743C22C31×#54612yes—
744C22C31×#55112yes—
745C22C31×#55112yes—
746C22C31×#55112yes—
747C22C31×#55111yescharacteristic
748C22C31×#55112yes—
749C22C31×#56011yescharacteristic
750C22C31×#56011yescharacteristic
751C4—42no—
752C4—44no—
753C4—44no—
754C4—42no—
755C4—82no—
756C4—82no—
757C4—82no—
758C2—48no—
759C2—44no—
760C2C31×#241812yes—
761C2C31×#241812yes—
762C2C31×#247212yes—
763C2C31×#248212yes—
764C2C31×#256111yescharacteristic
765C2C31×#266911yescharacteristic
766C2C31×#268512yes—
767C2C31×#269711yescharacteristic
768C2C31×#273512yes—
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC26×C31C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#399C2semidirect
2. C2×C31×#388C2semidirect
5. C31×#1440C2semidirect
6. C31×#1440C2semidirect
7. C31×#1439C2semidirect
8. C31×#1439C2semidirect
9. C31×#1437C2semidirect
11. C22×C4⋊C4×C31C22semidirect
12. C22×C4⋊C4×C31C22semidirect
23. C22×C42×C31C22semidirect
28. C2×C31×#95C22semidirect
29. C2×C31×#95C22semidirect
30. C2×C31×#95C22semidirect
31. C2×C31×#95C22semidirect
32. C2×C31×#95C22semidirect
33. C2×C31×#95C22semidirect
34. C2×C31×#95C22semidirect
201. #15284C31direct (N × H)
321. C2×#399C2×C31semidirect
322. C2×#388C2×C31semidirect
325. #1440C2×C31semidirect
326. #1440C2×C31semidirect
327. #1439C2×C31semidirect
328. #1439C2×C31semidirect
329. #1437C2×C31semidirect
384. C22×C4⋊C4C22×C31semidirect
385. C22×C4⋊C4C22×C31semidirect
396. C22×C42C22×C31semidirect
401. C2×#95C22×C31semidirect
402. C2×#95C22×C31semidirect
403. C2×#95C22×C31semidirect
404. C2×#95C22×C31semidirect
405. C2×#95C22×C31semidirect
406. C2×#95C22×C31semidirect
407. C2×#95C22×C31semidirect
481. C31#15284direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3992
C2×C31×#3882
C2×C31×#3792
C31×#14402
C31×#14392
C31×#14372
#1528431