Finite Group Databasebeta

← C31×#14533 #21471292

Subgroups — C31×#14533 #21471292

Order 7936.

2290 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#392C211yesmaximal, characteristic
2C2×C31×#386C212yesmaximal, complemented
3C2×C31×#386C212yesmaximal, complemented
4C31×#1443C212yesmaximal, complemented
5C31×#1440C211yesmaximal, characteristic, complemented
6C31×#1438C212yesmaximal, complemented
7C31×#1437C211yesmaximal, characteristic, complemented
8C31×#1437C212yesmaximal, complemented
9C31×C22⋊#95C212yesmaximal, complemented
10C23×D4×C31C2211yescharacteristic
11C23×D4×C31C2212yes—
12C24×C4×C31C2212yes—
13C22×C22⋊C4×C31C2212yes—
14C22×C22⋊C4×C31C2212yes—
15C22×C22⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2211yescharacteristic
17C22×C22⋊C4×C31C2211yescharacteristic
18C22×C22⋊C4×C31C2212yes—
19C22×C22⋊C4×C31C2211yescharacteristic
20C22×C22⋊C4×C31C2212yes—
21C22×C42×C31C2211yescharacteristic
22C31×#392C418yescomplemented
23C31×#386—28no—
24C31×#386—28no—
25C2×C31×#95C2212yes—
26C2×C31×#95C2212yes—
27C2×C31×#95C2212yes—
28C2×C31×#95C2212yes—
29C2×C31×#95C2211yescharacteristic
30C2×C31×#95C2212yes—
31C2×C31×#95C2212yes—
32C2×C31×#95C2212yes—
33C2×C31×#95C2211yescharacteristic
34C25×C31C2311yescharacteristic
35C25×C31C2312yes—
36C22×D4×C31—24no—
37C22×D4×C31—24no—
38C22×D4×C31—24no—
39C22×D4×C31—24no—
40C22×D4×C31—42no—
41C22×D4×C31—42no—
42C22×D4×C31—41no—
43C22×D4×C31—41no—
44C22×D4×C31—42no—
45C22×D4×C31—42no—
46C22×D4×C31C2×C414yes—
47C22×D4×C31C2×C418yescomplemented
48C23×C4×C31—24no—
49C23×C4×C31—24no—
50C23×C4×C31—24no—
51C23×C4×C31—42no—
52C23×C4×C31—42no—
53C23×C4×C31—42no—
54C23×C4×C31—42no—
55C23×C4×C31C2312yes—
56C23×C4×C31C2311yescharacteristic
57C23×C4×C31C2311yescharacteristic
58C23×C4×C31C2312yes—
59C23×C4×C31C2312yes—
60C23×C4×C31C2312yes—
61C23×C4×C31C2312yes—
62C2×C22⋊C4×C31—24no—
63C2×C22⋊C4×C31—24no—
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—42no—
70C2×C22⋊C4×C31—41no—
71C2×C22⋊C4×C31—42no—
72C2×C22⋊C4×C31—41no—
73C2×C22⋊C4×C31—42no—
74C2×C22⋊C4×C31—42no—
75C2×C22⋊C4×C31—42no—
76C2×C22⋊C4×C31—41no—
77C2×C22⋊C4×C31—42no—
78C2×C22⋊C4×C31—42no—
79C2×C22⋊C4×C31—42no—
80C2×C22⋊C4×C31—41no—
81C2×C22⋊C4×C31C2×C414yescomplemented
82C2×C22⋊C4×C31C2×C418yescomplemented
83C2×C22⋊C4×C31D418yescomplemented
84C2×C42×C31—42no—
85C2×C42×C31—41no—
86C31×#95—24no—
87C31×#95—24no—
88C31×#95—24no—
89C31×#95—24no—
90C31×#95—41no—
91C31×#95—42no—
92C31×#95—42no—
93C31×#95—42no—
94C31×#95C2×C414yescomplemented
95C24×C31—22no—
96C24×C31—22no—
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—22no—
107C24×C31—22no—
108C24×C31—22no—
109C24×C31—22no—
110C24×C31—21no—
111C24×C31—21no—
112C24×C31—22no—
113C24×C31—22no—
114C24×C31—22no—
115C24×C31C22×C412yes—
116C24×C31C22×C414yes—
117C24×C31C2×D414yes—
118C24×C31#4114yes—
119C24×C31C2411yescharacteristic
120C2×D4×C31—216no—
121C2×D4×C31—216no—
122C2×D4×C31—44no—
123C2×D4×C31—48no—
124C2×D4×C31—48no—
125C2×D4×C31—44no—
126C2×D4×C31—48no—
127C2×D4×C31—44no—
128C2×D4×C31—48no—
129C2×D4×C31—48no—
130C2×D4×C31—48no—
131C2×D4×C31—48no—
132C22×C4×C31—22no—
133C22×C4×C31—22no—
134C22×C4×C31—22no—
135C22×C4×C31—22no—
136C22×C4×C31—22no—
137C22×C4×C31—22no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
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—21no—
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—21no—
163C22×C4×C31—21no—
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—48no—
172C22×C4×C31—48no—
173C22×C4×C31—48no—
174C22×C4×C31—48no—
175C22×C4×C31—48no—
176C22×C4×C31—48no—
177C22×C4×C31—48no—
178C22×C4×C31C22×C412yes—
179C22×C4×C31C22×C414yes—
180C22×C4×C31C22×C412yes—
181C22×C4×C31C2×D414yes—
182C22×C4×C31C2×D414yes—
183C22×C4×C31#4114yes—
184C22⋊C4×C31—48no—
185C22⋊C4×C31—44no—
186C22⋊C4×C31—48no—
187C22⋊C4×C31—44no—
188C22⋊C4×C31—48no—
189C22⋊C4×C31—48no—
190C22⋊C4×C31—48no—
191C22⋊C4×C31—44no—
192C42×C31—44no—
193#14533C3111yesmaximal, characteristic, direct product factor, Sylow
194C23×C31—24no—
195C23×C31—24no—
196C23×C31—24no—
197C23×C31—24no—
198C23×C31—24no—
199C23×C31—24no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—24no—
206C23×C31—24no—
207C23×C31—24no—
208C23×C31—24no—
209C23×C31—24no—
210C23×C31—24no—
211C23×C31—24no—
212C23×C31—24no—
213C23×C31—22no—
214C23×C31—22no—
215C23×C31—22no—
216C23×C31—24no—
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×C31—42no—
235C23×C31—42no—
236C23×C31—42no—
237C23×C31—42no—
238C23×C31—42no—
239C23×C31—41no—
240C23×C31—42no—
241C23×C31—42no—
242C23×C31—42no—
243C23×C31—41no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—41no—
247C23×C31—42no—
248C23×C31—41no—
249C23×C31C4×D418yes—
250C23×C31C23×C411yescharacteristic
251C23×C31C22×D412yes—
252C23×C31C2×#4112yes—
253C23×C31C2×#4112yes—
254C23×C31H(5,𝔽2)12yes—
255C23×C31H(5,𝔽2)12yes—
256C23×C31H(5,𝔽2)12yes—
257C23×C31H(5,𝔽2)11yescharacteristic
258C23×C31H(5,𝔽2)11yescharacteristic
259D4×C31—416no—
260D4×C31—432no—
261C2×C4×C31—24no—
262C2×C4×C31—24no—
263C2×C4×C31—24no—
264C2×C4×C31—22no—
265C2×C4×C31—24no—
266C2×C4×C31—22no—
267C2×C4×C31—24no—
268C2×C4×C31—24no—
269C2×C4×C31—24no—
270C2×C4×C31—24no—
271C2×C4×C31—24no—
272C2×C4×C31—24no—
273C2×C4×C31—24no—
274C2×C4×C31—24no—
275C2×C4×C31—24no—
276C2×C4×C31—24no—
277C2×C4×C31—432no—
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—41no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—41no—
293C2×C4×C31—42no—
294C2×C4×C31—41no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—41no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
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×#392C2×C3111yescharacteristic
308C2×#386C2×C3112yescomplemented
309C2×#386C2×C3112yescomplemented
310#1443C2×C3112yescomplemented
311#1440C2×C3111yescharacteristic, complemented
312#1438C2×C3112yescomplemented
313#1437C2×C3111yescharacteristic, complemented
314#1437C2×C3112yescomplemented
315C22⋊#95C2×C3112yescomplemented
316C22×C31—28no—
317C22×C31—28no—
318C22×C31—28no—
319C22×C31—44no—
320C22×C31—44no—
321C22×C31—44no—
322C22×C31—44no—
323C22×C31—44no—
324C22×C31—44no—
325C22×C31—44no—
326C22×C31—44no—
327C22×C31—44no—
328C22×C31—44no—
329C22×C31—44no—
330C22×C31—44no—
331C22×C31—44no—
332C22×C31—42no—
333C22×C31—42no—
334C22×C31—44no—
335C22×C31—42no—
336C22×C31—82no—
337C22×C31—82no—
338C22×C31—82no—
339C22×C31—82no—
340C22×C31C2×C4×D412yes—
341C22×C31C4×#4111yescharacteristic
342C22×C31#51811yescharacteristic
343C22×C31#51812yes—
344C22×C31#51811yescharacteristic
345C22×C31#53412yes—
346C22×C31#53512yes—
347C22×C31#53812yes—
348C22×C31#53812yes—
349C22×C31#53812yes—
350C22×C31#54012yes—
351C22×C31D4211yescharacteristic
352C22×C31#54612yes—
353C22×C31#54612yes—
354C22×C31#54612yes—
355C22×C31#55111yescharacteristic
356C22×C31#55312yes—
357C22×C31#55312yes—
358C22×C31#56012yes—
359C22×C31#56011yescharacteristic
360C22×C31#56011yescharacteristic
361C4×C31—44no—
362C4×C31—42no—
363C4×C31—42no—
364C4×C31—44no—
365C4×C31—44no—
366C4×C31—44no—
367C4×C31—82no—
368C23×D4C22×C3111yescharacteristic
369C23×D4C22×C3112yes—
370C24×C4C22×C3112yes—
371C22×C22⋊C4C22×C3112yes—
372C22×C22⋊C4C22×C3112yes—
373C22×C22⋊C4C22×C3112yes—
374C22×C22⋊C4C22×C3111yescharacteristic
375C22×C22⋊C4C22×C3111yescharacteristic
376C22×C22⋊C4C22×C3112yes—
377C22×C22⋊C4C22×C3111yescharacteristic
378C22×C22⋊C4C22×C3112yes—
379C22×C42C22×C3111yescharacteristic
380#392C4×C3118yescomplemented
381#386—28no—
382#386—28no—
383C2×#95C22×C3112yes—
384C2×#95C22×C3112yes—
385C2×#95C22×C3112yes—
386C2×#95C22×C3112yes—
387C2×#95C22×C3111yescharacteristic
388C2×#95C22×C3112yes—
389C2×#95C22×C3112yes—
390C2×#95C22×C3112yes—
391C2×#95C22×C3111yescharacteristic
392C2×C31—48no—
393C2×C31—82no—
394C2×C31#232112yes—
395C2×C31#233311yescharacteristic
396C2×C31#235811yescharacteristic
397C2×C31#236412yes—
398C2×C31#238011yescharacteristic
399C2×C31#267812yes—
400C2×C31#268812yes—
401C2×C31#270312yes—
402C2×C31#277812yes—
403C25C23×C3111yescharacteristic
404C25C23×C3112yes—
405C22×D4—24no—
406C22×D4—24no—
407C22×D4—24no—
408C22×D4—24no—
409C22×D4—42no—
410C22×D4—42no—
411C22×D4—41no—
412C22×D4—41no—
413C22×D4—42no—
414C22×D4—42no—
415C22×D4C2×C4×C3114yes—
416C22×D4C2×C4×C3118yescomplemented
417C23×C4—24no—
418C23×C4—24no—
419C23×C4—24no—
420C23×C4—42no—
421C23×C4—42no—
422C23×C4—42no—
423C23×C4—42no—
424C23×C4C23×C3112yes—
425C23×C4C23×C3111yescharacteristic
426C23×C4C23×C3111yescharacteristic
427C23×C4C23×C3112yes—
428C23×C4C23×C3112yes—
429C23×C4C23×C3112yes—
430C23×C4C23×C3112yes—
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—42no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—42no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—42no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—41no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449C2×C22⋊C4—41no—
450C2×C22⋊C4C2×C4×C3114yescomplemented
451C2×C22⋊C4C2×C4×C3118yescomplemented
452C2×C22⋊C4D4×C3118yescomplemented
453C2×C42—42no—
454C2×C42—41no—
455#95—24no—
456#95—24no—
457#95—24no—
458#95—24no—
459#95—41no—
460#95—42no—
461#95—42no—
462#95—42no—
463#95C2×C4×C3114yescomplemented
464C31#1453311yescharacteristic, direct product factor, Sylow
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—22no—
478C24—22no—
479C24—22no—
480C24—21no—
481C24—21no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24C22×C4×C3112yes—
486C24C22×C4×C3114yes—
487C24C2×D4×C3114yes—
488C24#41×C3114yes—
489C24C24×C3111yescharacteristic
490C2×D4—216no—
491C2×D4—216no—
492C2×D4—44no—
493C2×D4—48no—
494C2×D4—48no—
495C2×D4—44no—
496C2×D4—48no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—48no—
500C2×D4—48no—
501C2×D4—48no—
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—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—48no—
546C22×C4—48no—
547C22×C4—48no—
548C22×C4C22×C4×C3112yes—
549C22×C4C22×C4×C3114yes—
550C22×C4C22×C4×C3112yes—
551C22×C4C2×D4×C3114yes—
552C22×C4C2×D4×C3114yes—
553C22×C4#41×C3114yes—
554C22⋊C4—48no—
555C22⋊C4—44no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—44no—
562C42—44no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—42no—
617C23—41no—
618C23C4×D4×C3118yes—
619C23C23×C4×C3111yescharacteristic
620C23C22×D4×C3112yes—
621C23C2×#41×C3112yes—
622C23C2×#41×C3112yes—
623C23C31×H(5,𝔽2)12yes—
624C23C31×H(5,𝔽2)12yes—
625C23C31×H(5,𝔽2)12yes—
626C23C31×H(5,𝔽2)11yescharacteristic
627C23C31×H(5,𝔽2)11yescharacteristic
628D4—416no—
629D4—432no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—432no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C22—28no—
677C22—28no—
678C22—28no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—42no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22C2×C4×D4×C3112yes—
701C22C4×#41×C3111yescharacteristic
702C22C31×#51811yescharacteristic
703C22C31×#51812yes—
704C22C31×#51811yescharacteristic
705C22C31×#53412yes—
706C22C31×#53512yes—
707C22C31×#53812yes—
708C22C31×#53812yes—
709C22C31×#53812yes—
710C22C31×#54012yes—
711C22D42×C3111yescharacteristic
712C22C31×#54612yes—
713C22C31×#54612yes—
714C22C31×#54612yes—
715C22C31×#55111yescharacteristic
716C22C31×#55312yes—
717C22C31×#55312yes—
718C22C31×#56012yes—
719C22C31×#56011yescharacteristic
720C22C31×#56011yescharacteristic
721C4—44no—
722C4—42no—
723C4—42no—
724C4—44no—
725C4—44no—
726C4—44no—
727C4—82no—
728C2—48no—
729C2—82no—
730C2C31×#232112yes—
731C2C31×#233311yescharacteristic
732C2C31×#235811yescharacteristic
733C2C31×#236412yes—
734C2C31×#238011yescharacteristic
735C2C31×#267812yes—
736C2C31×#268812yes—
737C2C31×#270312yes—
738C2C31×#277812yes—
subgroupG/H
center, socleC24×C31C24
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC2×C31×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#386C2semidirect
3. C2×C31×#386C2semidirect
4. C31×#1443C2semidirect
5. C31×#1440C2semidirect
6. C31×#1438C2semidirect
7. C31×#1437C2semidirect
8. C31×#1437C2semidirect
9. C31×C22⋊#95C2semidirect
22. C31×#392C4semidirect
47. C22×D4×C31C2×C4semidirect
81. C2×C22⋊C4×C31C2×C4semidirect
82. C2×C22⋊C4×C31C2×C4semidirect
83. C2×C22⋊C4×C31D4semidirect
94. C31×#95C2×C4semidirect
193. #14533C31direct (N × H)
308. C2×#386C2×C31semidirect
309. C2×#386C2×C31semidirect
310. #1443C2×C31semidirect
311. #1440C2×C31semidirect
312. #1438C2×C31semidirect
313. #1437C2×C31semidirect
314. #1437C2×C31semidirect
315. C22⋊#95C2×C31semidirect
380. #392C4×C31semidirect
416. C22×D4C2×C4×C31semidirect
450. C2×C22⋊C4C2×C4×C31semidirect
451. C2×C22⋊C4C2×C4×C31semidirect
452. C2×C22⋊C4D4×C31semidirect
463. #95C2×C4×C31semidirect
464. C31#14533direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3922
C2×C31×#3862
C31×#14432
C31×#14402
C31×#14382
C31×#14372
C31×C22⋊#952
#1453331