Finite Group Databasebeta

← C2×C31×#1439 #21470595

Subgroups — C2×C31×#1439 #21470595

Order 7936.

4926 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
1C23×C4⋊C4×C31C211yesmaximal, characteristic, complemented
2C23×C22⋊C4×C31C212yesmaximal
3C23×C22⋊C4×C31C211yesmaximal, characteristic
4C22×C31×#95C212yesmaximal, complemented
5C22×C31×#95C211yesmaximal, characteristic, complemented
6C31×#1439C218yesmaximal, direct product factor
7C26×C31C2211yescharacteristic
8C24×C4×C31C2211yescharacteristic
9C24×C4×C31C2212yes—
10C24×C4×C31C2212yes—
11C24×C4×C31C2211yescharacteristic
12C22×C4⋊C4×C31—28no—
13C22×C4⋊C4×C31—24no—
14C22×C4⋊C4×C31C2214yescomplemented
15C22×C22⋊C4×C31—28no—
16C22×C22⋊C4×C31—28no—
17C22×C22⋊C4×C31—28no—
18C22×C22⋊C4×C31—24no—
19C22×C22⋊C4×C31—24no—
20C22×C22⋊C4×C31C418yescomplemented
21C22×C22⋊C4×C31C2218yes—
22C22×C22⋊C4×C31C2214yes—
23C2×C31×#95—28no—
24C2×C31×#95—24no—
25C2×C31×#95C2218yescomplemented
26C2×C31×#95C2214yescomplemented
27C25×C31—22no—
28C25×C31—22no—
29C25×C31—24no—
30C25×C31—24no—
31C25×C31—22no—
32C25×C31—22no—
33C25×C31—24no—
34C25×C31—24no—
35C25×C31C2×C414yes—
36C25×C31D414yes—
37C25×C31Q814yes—
38C25×C31C2312yes—
39C25×C31C2311yescharacteristic
40C23×C4×C31—24no—
41C23×C4×C31—24no—
42C23×C4×C31—22no—
43C23×C4×C31—22no—
44C23×C4×C31—24no—
45C23×C4×C31—24no—
46C23×C4×C31—24no—
47C23×C4×C31—24no—
48C23×C4×C31—24no—
49C23×C4×C31—24no—
50C23×C4×C31—24no—
51C23×C4×C31—24no—
52C23×C4×C31—24no—
53C23×C4×C31—24no—
54C23×C4×C31—24no—
55C23×C4×C31—24no—
56C23×C4×C31—24no—
57C23×C4×C31—24no—
58C23×C4×C31C2×C414yes—
59C23×C4×C31C2×C414yes—
60C23×C4×C31D418yes—
61C23×C4×C31D418yes—
62C23×C4×C31D414yes—
63C23×C4×C31D414yes—
64C23×C4×C31C2312yes—
65C23×C4×C31C2314yes—
66C23×C4×C31C2314yes—
67C23×C4×C31C2312yes—
68C2×C4⋊C4×C31—232no—
69C2×C4⋊C4×C31—216no—
70C2×C4⋊C4×C31—28no—
71C2×C22⋊C4×C31—264no—
72C2×C22⋊C4×C31—216no—
73C2×C22⋊C4×C31—232no—
74C2×C22⋊C4×C31—216no—
75C2×C22⋊C4×C31—216no—
76C2×C22⋊C4×C31—28no—
77C2×C22⋊C4×C31—28no—
78C2×C22⋊C4×C31C2×C4116yescomplemented
79C31×#95—216no—
80C31×#95—28no—
81C24×C31—28no—
82C24×C31—28no—
83C24×C31—216no—
84C24×C31—216no—
85C24×C31—216no—
86C24×C31—28no—
87C24×C31—28no—
88C24×C31—28no—
89C24×C31—28no—
90C24×C31—216no—
91C24×C31—216no—
92C24×C31—216no—
93C24×C31—22no—
94C24×C31—22no—
95C24×C31—24no—
96C24×C31—24no—
97C24×C31—22no—
98C24×C31—22no—
99C24×C31—24no—
100C24×C31—24no—
101C24×C31—44no—
102C24×C31—48no—
103C24×C31—48no—
104C24×C31—48no—
105C24×C31—44no—
106C24×C31—48no—
107C24×C31—48no—
108C24×C31—44no—
109C24×C31—48no—
110C24×C31—44no—
111C24×C31C4⋊C4116yescomplemented
112C24×C31C22×C414yes—
113C24×C31C22×C412yes—
114C24×C31C2×D414yes—
115C24×C31C2×D412yes—
116C24×C31C2×D412yes—
117C24×C31C2×D412yes—
118C24×C31C2×D414yes—
119C24×C31C2×D414yes—
120C24×C31C2×Q814yes—
121C24×C31C2×Q812yes—
122C24×C31#4112yes—
123C24×C31#4112yes—
124C24×C31#4114yes—
125C24×C31#4114yes—
126C24×C31C2411yescharacteristic
127C22×C4×C31—216no—
128C22×C4×C31—28no—
129C22×C4×C31—216no—
130C22×C4×C31—28no—
131C22×C4×C31—24no—
132C22×C4×C31—24no—
133C22×C4×C31—28no—
134C22×C4×C31—216no—
135C22×C4×C31—216no—
136C22×C4×C31—216no—
137C22×C4×C31—216no—
138C22×C4×C31—216no—
139C22×C4×C31—216no—
140C22×C4×C31—216no—
141C22×C4×C31—24no—
142C22×C4×C31—24no—
143C22×C4×C31—24no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—24no—
147C22×C4×C31—24no—
148C22×C4×C31—24no—
149C22×C4×C31—24no—
150C22×C4×C31—24no—
151C22×C4×C31—24no—
152C22×C4×C31—24no—
153C22×C4×C31—24no—
154C22×C4×C31—24no—
155C22×C4×C31—24no—
156C22×C4×C31—24no—
157C22×C4×C31—48no—
158C22×C4×C31—48no—
159C22×C4×C31—48no—
160C22×C4×C31—48no—
161C22×C4×C31—48no—
162C22×C4×C31—48no—
163C22×C4×C31—48no—
164C22×C4×C31—44no—
165C22×C4×C31—48no—
166C22×C4×C31—44no—
167C22×C4×C31—48no—
168C22×C4×C31C22⋊C4116yescomplemented
169C22×C4×C31C22×C414yes—
170C22×C4×C31C22×C414yes—
171C22×C4×C31C2×D418yes—
172C22×C4×C31C2×D418yes—
173C22×C4×C31C2×D414yes—
174C22×C4×C31C2×D414yes—
175C4⋊C4×C31—232no—
176C22⋊C4×C31—264no—
177C22⋊C4×C31—232no—
178C2×#1439C3111yesmaximal, characteristic, direct product factor, Sylow
179C23×C31—24no—
180C23×C31—24no—
181C23×C31—28no—
182C23×C31—28no—
183C23×C31—28no—
184C23×C31—24no—
185C23×C31—24no—
186C23×C31—24no—
187C23×C31—24no—
188C23×C31—28no—
189C23×C31—28no—
190C23×C31—28no—
191C23×C31—232no—
192C23×C31—264no—
193C23×C31—42no—
194C23×C31—44no—
195C23×C31—44no—
196C23×C31—44no—
197C23×C31—44no—
198C23×C31—42no—
199C23×C31—44no—
200C23×C31—42no—
201C23×C31—44no—
202C23×C31—42no—
203C23×C31—416no—
204C23×C31—432no—
205C23×C31—416no—
206C23×C31—416no—
207C23×C31—416no—
208C23×C31—432no—
209C23×C31—432no—
210C23×C31—416no—
211C23×C31—416no—
212C23×C31C2×C22⋊C414yes—
213C23×C31C2×C4⋊C414yes—
214C23×C31C2×C4⋊C418yescomplemented
215C23×C31#11714yes—
216C23×C31C4×D418yes—
217C23×C31C4×D418yes—
218C23×C31#12018yes—
219C23×C31#12014yes—
220C23×C31#12114yes—
221C23×C31#12114yes—
222C23×C31#12118yes—
223C23×C31#12118yes—
224C23×C31#12118yes—
225C23×C31C22⋊Q814yes—
226C23×C31C22⋊Q814yes—
227C23×C31C22⋊Q818yes—
228C23×C31C22⋊Q818yes—
229C23×C31#12318yes—
230C23×C31#12314yes—
231C23×C31#12318yes—
232C23×C31#12418yes—
233C23×C31#12414yes—
234C23×C31#12618yes—
235C23×C31#12714yes—
236C23×C31C23×C411yescharacteristic
237C23×C31C22×D411yescharacteristic
238C23×C31C22×D411yescharacteristic
239C23×C31C22×D411yescharacteristic
240C23×C31C22×D412yes—
241C23×C31C22×D412yes—
242C23×C31C22×Q811yescharacteristic
243C23×C31C2×#4111yescharacteristic
244C23×C31C2×#4111yescharacteristic
245C23×C31C2×#4112yes—
246C23×C31C2×#4112yes—
247C2×C4×C31—28no—
248C2×C4×C31—24no—
249C2×C4×C31—28no—
250C2×C4×C31—24no—
251C2×C4×C31—232no—
252C2×C4×C31—24no—
253C2×C4×C31—28no—
254C2×C4×C31—28no—
255C2×C4×C31—28no—
256C2×C4×C31—28no—
257C2×C4×C31—28no—
258C2×C4×C31—28no—
259C2×C4×C31—28no—
260C2×C4×C31—44no—
261C2×C4×C31—44no—
262C2×C4×C31—44no—
263C2×C4×C31—44no—
264C2×C4×C31—44no—
265C2×C4×C31—44no—
266C2×C4×C31—44no—
267C2×C4×C31—44no—
268C2×C4×C31—42no—
269C2×C4×C31—44no—
270C2×C4×C31—42no—
271C2×C4×C31—416no—
272C2×C4×C31—432no—
273C2×C4×C31—432no—
274C2×C4×C31C2×C22⋊C418yescomplemented
275C23×C4⋊C4C2×C3111yescharacteristic, complemented
276C23×C22⋊C4C2×C3112yes—
277C23×C22⋊C4C2×C3111yescharacteristic
278C22×#95C2×C3112yescomplemented
279C22×#95C2×C3111yescharacteristic, complemented
280#1439C2×C3118yesdirect product factor
281C22×C31—28no—
282C22×C31—216no—
283C22×C31—44no—
284C22×C31—44no—
285C22×C31—48no—
286C22×C31—48no—
287C22×C31—44no—
288C22×C31—44no—
289C22×C31—464no—
290C22×C31—44no—
291C22×C31—48no—
292C22×C31—44no—
293C22×C31#38018yes—
294C22×C31#385116yes—
295C22×C31#38618yes—
296C22×C31#388116yes—
297C22×C31#39018yes—
298C22×C31#39218yes—
299C22×C31#39318yes—
300C22×C31#394116yes—
301C22×C31#396116yes—
302C22×C31#39718yes—
303C22×C31#39918yes—
304C22×C31C22×C22⋊C411yescharacteristic
305C22×C31C22×C4⋊C411yescharacteristic
306C22×C31C2×#11711yescharacteristic
307C22×C31C2×C4×D412yes—
308C22×C31C2×C4×D412yes—
309C22×C31C2×#12011yescharacteristic
310C22×C31C2×#12012yes—
311C22×C31C2×#12112yes—
312C22×C31C2×#12111yescharacteristic
313C22×C31C2×#12111yescharacteristic
314C22×C31C2×#12112yes—
315C22×C31C2×#12112yes—
316C22×C31C2×C22⋊Q812yes—
317C22×C31C2×C22⋊Q811yescharacteristic
318C22×C31C2×C22⋊Q811yescharacteristic
319C22×C31C2×C22⋊Q812yes—
320C22×C31C2×#12312yes—
321C22×C31C2×#12312yes—
322C22×C31C2×#12311yescharacteristic
323C22×C31C2×#12412yes—
324C22×C31C2×#12411yescharacteristic
325C22×C31C2×#12612yes—
326C22×C31C2×#12711yescharacteristic
327C4×C31—28no—
328C4×C31—48no—
329C4×C31—48no—
330C4×C31—44no—
331C26C22×C3111yescharacteristic
332C24×C4C22×C3111yescharacteristic
333C24×C4C22×C3112yes—
334C24×C4C22×C3112yes—
335C24×C4C22×C3111yescharacteristic
336C22×C4⋊C4—28no—
337C22×C4⋊C4—24no—
338C22×C4⋊C4C22×C3114yescomplemented
339C22×C22⋊C4—28no—
340C22×C22⋊C4—28no—
341C22×C22⋊C4—28no—
342C22×C22⋊C4—24no—
343C22×C22⋊C4—24no—
344C22×C22⋊C4C4×C3118yescomplemented
345C22×C22⋊C4C22×C3118yes—
346C22×C22⋊C4C22×C3114yes—
347C2×#95—28no—
348C2×#95—24no—
349C2×#95C22×C3118yescomplemented
350C2×#95C22×C3114yescomplemented
351C2×C31—48no—
352C2×C31#1439116yesdirect product factor
353C2×C31C2×#38011yescharacteristic
354C2×C31C2×#38512yes—
355C2×C31C2×#38611yescharacteristic
356C2×C31C2×#38812yes—
357C2×C31C2×#39011yescharacteristic
358C2×C31C2×#39211yescharacteristic
359C2×C31C2×#39311yescharacteristic
360C2×C31C2×#39412yes—
361C2×C31C2×#39612yes—
362C2×C31C2×#39711yescharacteristic
363C2×C31C2×#39911yescharacteristic
364C25—22no—
365C25—22no—
366C25—24no—
367C25—24no—
368C25—22no—
369C25—22no—
370C25—24no—
371C25—24no—
372C25C2×C4×C3114yes—
373C25D4×C3114yes—
374C25Q8×C3114yes—
375C25C23×C3112yes—
376C25C23×C3111yescharacteristic
377C23×C4—24no—
378C23×C4—24no—
379C23×C4—22no—
380C23×C4—22no—
381C23×C4—24no—
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—24no—
385C23×C4—24no—
386C23×C4—24no—
387C23×C4—24no—
388C23×C4—24no—
389C23×C4—24no—
390C23×C4—24no—
391C23×C4—24no—
392C23×C4—24no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4C2×C4×C3114yes—
396C23×C4C2×C4×C3114yes—
397C23×C4D4×C3118yes—
398C23×C4D4×C3118yes—
399C23×C4D4×C3114yes—
400C23×C4D4×C3114yes—
401C23×C4C23×C3112yes—
402C23×C4C23×C3114yes—
403C23×C4C23×C3114yes—
404C23×C4C23×C3112yes—
405C2×C4⋊C4—232no—
406C2×C4⋊C4—216no—
407C2×C4⋊C4—28no—
408C2×C22⋊C4—264no—
409C2×C22⋊C4—216no—
410C2×C22⋊C4—232no—
411C2×C22⋊C4—216no—
412C2×C22⋊C4—216no—
413C2×C22⋊C4—28no—
414C2×C22⋊C4—28no—
415C2×C22⋊C4C2×C4×C31116yescomplemented
416#95—216no—
417#95—28no—
418C31C2×#143911yescharacteristic, direct product factor, Sylow
419C24—28no—
420C24—28no—
421C24—216no—
422C24—216no—
423C24—216no—
424C24—28no—
425C24—28no—
426C24—28no—
427C24—28no—
428C24—216no—
429C24—216no—
430C24—216no—
431C24—22no—
432C24—22no—
433C24—24no—
434C24—24no—
435C24—22no—
436C24—22no—
437C24—24no—
438C24—24no—
439C24—44no—
440C24—48no—
441C24—48no—
442C24—48no—
443C24—44no—
444C24—48no—
445C24—44no—
446C24—48no—
447C24—48no—
448C24—44no—
449C24C4⋊C4×C31116yescomplemented
450C24C22×C4×C3114yes—
451C24C22×C4×C3112yes—
452C24C2×D4×C3114yes—
453C24C2×D4×C3112yes—
454C24C2×D4×C3112yes—
455C24C2×D4×C3112yes—
456C24C2×D4×C3114yes—
457C24C2×D4×C3114yes—
458C24C2×Q8×C3114yes—
459C24C2×Q8×C3112yes—
460C24#41×C3112yes—
461C24#41×C3112yes—
462C24#41×C3114yes—
463C24#41×C3114yes—
464C24C24×C3111yescharacteristic
465C22×C4—216no—
466C22×C4—28no—
467C22×C4—216no—
468C22×C4—28no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—28no—
472C22×C4—216no—
473C22×C4—216no—
474C22×C4—216no—
475C22×C4—216no—
476C22×C4—216no—
477C22×C4—216no—
478C22×C4—216no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—48no—
506C22×C4C22⋊C4×C31116yescomplemented
507C22×C4C22×C4×C3114yes—
508C22×C4C22×C4×C3114yes—
509C22×C4C2×D4×C3118yes—
510C22×C4C2×D4×C3118yes—
511C22×C4C2×D4×C3114yes—
512C22×C4C2×D4×C3114yes—
513C4⋊C4—232no—
514C22⋊C4—264no—
515C22⋊C4—232no—
516C23—24no—
517C23—24no—
518C23—28no—
519C23—28no—
520C23—28no—
521C23—24no—
522C23—24no—
523C23—24no—
524C23—24no—
525C23—28no—
526C23—28no—
527C23—28no—
528C23—232no—
529C23—264no—
530C23—432no—
531C23—416no—
532C23—416no—
533C23—42no—
534C23—44no—
535C23—44no—
536C23—44no—
537C23—44no—
538C23—42no—
539C23—44no—
540C23—42no—
541C23—44no—
542C23—42no—
543C23—416no—
544C23—432no—
545C23—416no—
546C23—416no—
547C23—416no—
548C23—432no—
549C23C2×C22⋊C4×C3114yes—
550C23C2×C4⋊C4×C3114yes—
551C23C2×C4⋊C4×C3118yescomplemented
552C23C31×#11714yes—
553C23C4×D4×C3118yes—
554C23C4×D4×C3118yes—
555C23C31×#12018yes—
556C23C31×#12014yes—
557C23C31×#12118yes—
558C23C31×#12118yes—
559C23C31×#12118yes—
560C23C31×#12114yes—
561C23C31×#12114yes—
562C23C31×C22⋊Q814yes—
563C23C31×C22⋊Q818yes—
564C23C31×C22⋊Q818yes—
565C23C31×C22⋊Q814yes—
566C23C31×#12314yes—
567C23C31×#12318yes—
568C23C31×#12318yes—
569C23C31×#12414yes—
570C23C31×#12418yes—
571C23C31×#12618yes—
572C23C31×#12714yes—
573C23C23×C4×C3111yescharacteristic
574C23C22×D4×C3111yescharacteristic
575C23C22×D4×C3111yescharacteristic
576C23C22×D4×C3111yescharacteristic
577C23C22×D4×C3112yes—
578C23C22×D4×C3112yes—
579C23C22×Q8×C3111yescharacteristic
580C23C2×#41×C3111yescharacteristic
581C23C2×#41×C3111yescharacteristic
582C23C2×#41×C3112yes—
583C23C2×#41×C3112yes—
584C2×C4—28no—
585C2×C4—24no—
586C2×C4—28no—
587C2×C4—24no—
588C2×C4—232no—
589C2×C4—24no—
590C2×C4—28no—
591C2×C4—28no—
592C2×C4—28no—
593C2×C4—28no—
594C2×C4—28no—
595C2×C4—28no—
596C2×C4—28no—
597C2×C4—44no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—44no—
602C2×C4—44no—
603C2×C4—44no—
604C2×C4—44no—
605C2×C4—42no—
606C2×C4—44no—
607C2×C4—42no—
608C2×C4—416no—
609C2×C4—432no—
610C2×C4—432no—
611C2×C4C2×C22⋊C4×C3118yescomplemented
612C22—28no—
613C22—216no—
614C22—44no—
615C22—44no—
616C22—48no—
617C22—48no—
618C22—44no—
619C22—44no—
620C22—464no—
621C22—44no—
622C22—48no—
623C22—44no—
624C22C31×#38018yes—
625C22C31×#385116yes—
626C22C31×#38618yes—
627C22C31×#388116yes—
628C22C31×#39018yes—
629C22C31×#39218yes—
630C22C31×#39318yes—
631C22C31×#394116yes—
632C22C31×#396116yes—
633C22C31×#39718yes—
634C22C31×#39918yes—
635C22C22×C22⋊C4×C3111yescharacteristic
636C22C22×C4⋊C4×C3111yescharacteristic
637C22C2×C31×#11711yescharacteristic
638C22C2×C4×D4×C3112yes—
639C22C2×C4×D4×C3112yes—
640C22C2×C31×#12011yescharacteristic
641C22C2×C31×#12012yes—
642C22C2×C31×#12112yes—
643C22C2×C31×#12111yescharacteristic
644C22C2×C31×#12111yescharacteristic
645C22C2×C31×#12112yes—
646C22C2×C31×#12112yes—
647C22C2×C31×C22⋊Q812yes—
648C22C2×C31×C22⋊Q811yescharacteristic
649C22C2×C31×C22⋊Q811yescharacteristic
650C22C2×C31×C22⋊Q812yes—
651C22C2×C31×#12312yes—
652C22C2×C31×#12312yes—
653C22C2×C31×#12311yescharacteristic
654C22C2×C31×#12412yes—
655C22C2×C31×#12411yescharacteristic
656C22C2×C31×#12612yes—
657C22C2×C31×#12711yescharacteristic
658C4—28no—
659C4—48no—
660C4—48no—
661C4—44no—
662C2—48no—
663C2C31×#1439116yesdirect product factor
664C2C2×C31×#38011yescharacteristic
665C2C2×C31×#38512yes—
666C2C2×C31×#38611yescharacteristic
667C2C2×C31×#38812yes—
668C2C2×C31×#39011yescharacteristic
669C2C2×C31×#39211yescharacteristic
670C2C2×C31×#39311yescharacteristic
671C2C2×C31×#39412yes—
672C2C2×C31×#39612yes—
673C2C2×C31×#39711yescharacteristic
674C2C2×C31×#39911yescharacteristic
subgroupG/H
center, socleC25×C31C23
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC26×C31C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×C4⋊C4×C31C2semidirect
4. C22×C31×#95C2semidirect
5. C22×C31×#95C2semidirect
6. C31×#1439C2direct (N × H)
14. C22×C4⋊C4×C31C22semidirect
20. C22×C22⋊C4×C31C4semidirect
25. C2×C31×#95C22semidirect
26. C2×C31×#95C22semidirect
78. C2×C22⋊C4×C31C2×C4semidirect
111. C24×C31C4⋊C4semidirect
168. C22×C4×C31C22⋊C4semidirect
178. C2×#1439C31direct (N × H)
214. C23×C31C2×C4⋊C4semidirect
274. C2×C4×C31C2×C22⋊C4semidirect
275. C23×C4⋊C4C2×C31semidirect
278. C22×#95C2×C31semidirect
279. C22×#95C2×C31semidirect
280. #1439C2×C31direct (N × H)
338. C22×C4⋊C4C22×C31semidirect
344. C22×C22⋊C4C4×C31semidirect
349. C2×#95C22×C31semidirect
350. C2×#95C22×C31semidirect
352. C2×C31#1439direct (N × H)
415. C2×C22⋊C4C2×C4×C31semidirect
418. C31C2×#1439direct (N × H)
449. C24C4⋊C4×C31semidirect
506. C22×C4C22⋊C4×C31semidirect
551. C23C2×C4⋊C4×C31semidirect
611. C2×C4C2×C22⋊C4×C31semidirect
663. C2C31×#1439direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C4⋊C4×C312
C23×C22⋊C4×C312
C22×C31×#952
C31×#14392
C2×#143931