Finite Group Databasebeta

← C31×#15123 #21471882

Subgroups — C31×#15123 #21471882

Order 7936.

3458 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#121C212yesmaximal, complemented
2C22×C4×D4×C31C211yesmaximal, characteristic, complemented
3C2×C31×#392C212yesmaximal, complemented
4C2×C31×#390C211yesmaximal, characteristic, complemented
5C2×C31×#380C212yesmaximal, complemented
6C31×#1439C212yesmaximal, complemented
7C31×#1438C214yesmaximal, complemented
8C31×C4⋊#95C211yesmaximal, characteristic, complemented
9C23×D4×C31C2211yescharacteristic
10C23×D4×C31C2211yescharacteristic
11C23×D4×C31C2214yes—
12C24×C4×C31C2212yes—
13C2×C31×#121—28no—
14C2×C31×#121—28no—
15C2×C31×#121—28no—
16C2×C4×D4×C31—28no—
17C2×C4×D4×C31—24no—
18C22×C4⋊C4×C31C2211yescharacteristic
19C22×C4⋊C4×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2212yes—
21C22×C22⋊C4×C31C2212yes—
22C22×C22⋊C4×C31C2212yes—
23C22×C22⋊C4×C31C2214yes—
24C22×C22⋊C4×C31C2214yes—
25C22×C22⋊C4×C31C2212yes—
26C22×C42×C31C2211yescharacteristic
27C31×#392—28no—
28C31×#390—24no—
29C31×#380—28no—
30C2×C31×#95C2212yes—
31C2×C31×#95C2214yes—
32C2×C31×#95C2212yes—
33C25×C31C2312yes—
34C25×C31C2312yes—
35C22×D4×C31—24no—
36C22×D4×C31—24no—
37C22×D4×C31—28no—
38C22×D4×C31—28no—
39C22×D4×C31—28no—
40C22×D4×C31—28no—
41C22×D4×C31—22no—
42C22×D4×C31—28no—
43C22×D4×C31—24no—
44C22×D4×C31—24no—
45C22×D4×C31—22no—
46C22×D4×C31—22no—
47C22×D4×C31—22no—
48C22×D4×C31—44no—
49C22×D4×C31—44no—
50C22×D4×C31D414yescomplemented
51C22×D4×C31D414yescomplemented
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×C31D418yescomplemented
59C23×C4×C31C2312yes—
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2312yes—
62C23×C4×C31C2314yes—
63C23×C4×C31C2311yescharacteristic
64C23×C4×C31C2311yescharacteristic
65C31×#121—264no—
66C4×D4×C31—232no—
67C2×C4⋊C4×C31—24no—
68C2×C4⋊C4×C31—22no—
69C2×C4⋊C4×C31—24no—
70C2×C4⋊C4×C31—24no—
71C2×C4⋊C4×C31—24no—
72C2×C4⋊C4×C31—22no—
73C2×C4⋊C4×C31D418yescomplemented
74C2×C22⋊C4×C31—24no—
75C2×C22⋊C4×C31—28no—
76C2×C22⋊C4×C31—24no—
77C2×C22⋊C4×C31—24no—
78C2×C22⋊C4×C31—28no—
79C2×C22⋊C4×C31—28no—
80C2×C22⋊C4×C31—28no—
81C2×C22⋊C4×C31—28no—
82C2×C22⋊C4×C31—24no—
83C2×C22⋊C4×C31—24no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—24no—
86C2×C22⋊C4×C31—44no—
87C2×C22⋊C4×C31—44no—
88C2×C42×C31—24no—
89C2×C42×C31D414yescomplemented
90C31×#95—28no—
91C31×#95—24no—
92C31×#95—42no—
93C24×C31—22no—
94C24×C31—22no—
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—24no—
107C24×C31—24no—
108C24×C31—22no—
109C24×C31—22no—
110C24×C31—22no—
111C24×C31—24no—
112C24×C31—24no—
113C24×C31—22no—
114C24×C31—22no—
115C24×C31C2×D414yes—
116C24×C31C2×D414yes—
117C24×C31C2×D414yes—
118C24×C31#4114yes—
119C24×C31C2411yescharacteristic
120C2×D4×C31—28no—
121C2×D4×C31—28no—
122C2×D4×C31—216no—
123C2×D4×C31—216no—
124C2×D4×C31—232no—
125C2×D4×C31—216no—
126C2×D4×C31—28no—
127C2×D4×C31—28no—
128C2×D4×C31—416no—
129C2×D4×C31—416no—
130C2×D4×C31—416no—
131C2×D4×C31—416no—
132C2×D4×C31—416no—
133C2×D4×C31—416no—
134C2×D4×C31—44no—
135C2×D4×C31—48no—
136C2×D4×C31—44no—
137C22×C4×C31—22no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—24no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—24no—
147C22×C4×C31—24no—
148C22×C4×C31—22no—
149C22×C4×C31—24no—
150C22×C4×C31—21no—
151C22×C4×C31—24no—
152C22×C4×C31—22no—
153C22×C4×C31—24no—
154C22×C4×C31—21no—
155C22×C4×C31—216no—
156C22×C4×C31—216no—
157C22×C4×C31—216no—
158C22×C4×C31—24no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—24no—
163C22×C4×C31—48no—
164C22×C4×C31—48no—
165C22×C4×C31—48no—
166C22×C4×C31—48no—
167C22×C4×C31C2×D418yes—
168C22×C4×C31C2×D412yes—
169C22×C4×C31C2×D414yes—
170C22×C4×C31C2×D412yes—
171C22×C4×C31C2×D412yes—
172C22×C4×C31C2×D414yes—
173C22×C4×C31C2×D412yes—
174C22×C4×C31C2×D412yes—
175C22×C4×C31C2×D414yes—
176C22×C4×C31#4112yes—
177C22×C4×C31#4112yes—
178C4⋊C4×C31—28no—
179C4⋊C4×C31—216no—
180C4⋊C4×C31—44no—
181C22⋊C4×C31—216no—
182C22⋊C4×C31—232no—
183C22⋊C4×C31—416no—
184C22⋊C4×C31—48no—
185C22⋊C4×C31—48no—
186C42×C31—28no—
187#15123C3111yesmaximal, characteristic, direct product factor, Sylow
188C23×C31—24no—
189C23×C31—24no—
190C23×C31—24no—
191C23×C31—24no—
192C23×C31—24no—
193C23×C31—24no—
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—28no—
207C23×C31—24no—
208C23×C31—24no—
209C23×C31—28no—
210C23×C31—24no—
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—44no—
230C23×C31—44no—
231C23×C31—44no—
232C23×C31—42no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—44no—
236C23×C31—44no—
237C23×C31—42no—
238C23×C31—44no—
239C23×C31—44no—
240C23×C31—42no—
241C23×C31—44no—
242C23×C31—44no—
243C23×C31—44no—
244C23×C31—42no—
245C23×C31#12118yescomplemented
246C23×C31C22×D412yes—
247C23×C31C22×D411yescharacteristic
248C23×C31C22×D411yescharacteristic
249C23×C31C22×D412yes—
250C23×C31C22×D411yescharacteristic
251C23×C31C2×#4111yescharacteristic
252C23×C31C2×#4112yes—
253C23×C31C2×#4111yescharacteristic
254C23×C31H(5,𝔽2)11yescharacteristic
255C23×C31H(5,𝔽2)12yes—
256C23×C312−1+411yescharacteristic
257D4×C31—232no—
258D4×C31—464no—
259D4×C31—416no—
260C2×C4×C31—22no—
261C2×C4×C31—24no—
262C2×C4×C31—22no—
263C2×C4×C31—24no—
264C2×C4×C31—22no—
265C2×C4×C31—24no—
266C2×C4×C31—24no—
267C2×C4×C31—28no—
268C2×C4×C31—24no—
269C2×C4×C31—22no—
270C2×C4×C31—22no—
271C2×C4×C31—28no—
272C2×C4×C31—28no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
275C2×C4×C31—42no—
276C2×C4×C31—44no—
277C2×C4×C31—42no—
278C2×C4×C31—42no—
279C2×C4×C31—44no—
280C2×C4×C31—42no—
281C2×C4×C31—44no—
282C2×C4×C31—44no—
283C2×C4×C31—432no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—44no—
288C2×C4×C31—44no—
289C2×C4×C31#12014yes—
290C2×C4×C31#12018yes—
291C2×C4×C31#12118yes—
292C2×C4×C31#12114yes—
293C2×C4×C31#12114yescomplemented
294C2×C4×C31#12714yes—
295C22×#121C2×C3112yescomplemented
296C22×C4×D4C2×C3111yescharacteristic, complemented
297C2×#392C2×C3112yescomplemented
298C2×#390C2×C3111yescharacteristic, complemented
299C2×#380C2×C3112yescomplemented
300#1439C2×C3112yescomplemented
301#1438C2×C3114yescomplemented
302C4⋊#95C2×C3111yescharacteristic, complemented
303C22×C31—28no—
304C22×C31—28no—
305C22×C31—28no—
306C22×C31—44no—
307C22×C31—44no—
308C22×C31—44no—
309C22×C31—44no—
310C22×C31—44no—
311C22×C31—44no—
312C22×C31—44no—
313C22×C31—44no—
314C22×C31—44no—
315C22×C31—44no—
316C22×C31—44no—
317C22×C31—44no—
318C22×C31—44no—
319C22×C31—48no—
320C22×C31—48no—
321C22×C31—44no—
322C22×C31—44no—
323C22×C31—82no—
324C22×C31—82no—
325C22×C31—84no—
326C22×C31—84no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31C2×#12011yescharacteristic
330C22×C31C2×#12012yes—
331C22×C31C2×#12112yes—
332C22×C31C2×#12111yescharacteristic
333C22×C31C2×#12112yes—
334C22×C31C2×#12111yescharacteristic
335C22×C31#52512yes—
336C22×C31#52511yescharacteristic
337C22×C31C2×#12711yescharacteristic
338C22×C31#53512yes—
339C22×C31#53511yescharacteristic
340C22×C31#53712yes—
341C22×C31#53711yescharacteristic
342C22×C31D4211yescharacteristic
343C22×C31D4212yes—
344C22×C31#54612yes—
345C22×C31#54612yes—
346C22×C31#54711yescharacteristic
347C22×C31#54711yescharacteristic
348C22×C31#54812yes—
349C22×C31#55012yes—
350C22×C31#55312yes—
351C22×C31#55511yescharacteristic
352C4×C31—24no—
353C4×C31—42no—
354C4×C31—44no—
355C4×C31—48no—
356C4×C31—82no—
357C4×C31#39218yescomplemented
358C23×D4C22×C3111yescharacteristic
359C23×D4C22×C3111yescharacteristic
360C23×D4C22×C3114yes—
361C24×C4C22×C3112yes—
362C2×#121—28no—
363C2×#121—28no—
364C2×#121—28no—
365C2×C4×D4—28no—
366C2×C4×D4—24no—
367C22×C4⋊C4C22×C3111yescharacteristic
368C22×C4⋊C4C22×C3111yescharacteristic
369C22×C4⋊C4C22×C3112yes—
370C22×C22⋊C4C22×C3112yes—
371C22×C22⋊C4C22×C3112yes—
372C22×C22⋊C4C22×C3114yes—
373C22×C22⋊C4C22×C3114yes—
374C22×C22⋊C4C22×C3112yes—
375C22×C42C22×C3111yescharacteristic
376#392—28no—
377#390—24no—
378#380—28no—
379C2×#95C22×C3112yes—
380C2×#95C22×C3114yes—
381C2×#95C22×C3112yes—
382C2×C31—48no—
383C2×C31—84no—
384C2×C31C2×#39211yescharacteristic
385C2×C31#240712yes—
386C2×C31#240812yes—
387C2×C31#241412yes—
388C2×C31#241612yes—
389C2×C31#253511yescharacteristic
390C2×C31#253711yescharacteristic
391C2×C31#254011yescharacteristic
392C2×C31#254111yescharacteristic
393C2×C31#261511yescharacteristic
394C2×C31#284711yescharacteristic
395C25C23×C3112yes—
396C25C23×C3112yes—
397C22×D4—24no—
398C22×D4—24no—
399C22×D4—28no—
400C22×D4—28no—
401C22×D4—28no—
402C22×D4—28no—
403C22×D4—22no—
404C22×D4—28no—
405C22×D4—24no—
406C22×D4—24no—
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4—44no—
411C22×D4—44no—
412C22×D4D4×C3114yescomplemented
413C22×D4D4×C3114yescomplemented
414C23×C4—24no—
415C23×C4—24no—
416C23×C4—24no—
417C23×C4—24no—
418C23×C4—24no—
419C23×C4—24no—
420C23×C4D4×C3118yescomplemented
421C23×C4C23×C3112yes—
422C23×C4C23×C3111yescharacteristic
423C23×C4C23×C3112yes—
424C23×C4C23×C3114yes—
425C23×C4C23×C3111yescharacteristic
426C23×C4C23×C3111yescharacteristic
427#121—264no—
428C4×D4—232no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—24no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4D4×C3118yescomplemented
436C2×C22⋊C4—24no—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—28no—
441C2×C22⋊C4—28no—
442C2×C22⋊C4—28no—
443C2×C22⋊C4—28no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—44no—
449C2×C22⋊C4—44no—
450C2×C42—24no—
451C2×C42D4×C3114yescomplemented
452#95—28no—
453#95—24no—
454#95—42no—
455C31#1512311yescharacteristic, direct product factor, Sylow
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—24no—
470C24—24no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—24no—
475C24—24no—
476C24—22no—
477C24—22no—
478C24C2×D4×C3114yes—
479C24C2×D4×C3114yes—
480C24C2×D4×C3114yes—
481C24#41×C3114yes—
482C24C24×C3111yescharacteristic
483C2×D4—28no—
484C2×D4—28no—
485C2×D4—216no—
486C2×D4—216no—
487C2×D4—232no—
488C2×D4—216no—
489C2×D4—28no—
490C2×D4—28no—
491C2×D4—416no—
492C2×D4—416no—
493C2×D4—416no—
494C2×D4—416no—
495C2×D4—416no—
496C2×D4—416no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—44no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—24no—
517C22×C4—21no—
518C22×C4—216no—
519C22×C4—216no—
520C22×C4—216no—
521C22×C4—24no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4C2×D4×C3118yes—
531C22×C4C2×D4×C3112yes—
532C22×C4C2×D4×C3114yes—
533C22×C4C2×D4×C3112yes—
534C22×C4C2×D4×C3112yes—
535C22×C4C2×D4×C3114yes—
536C22×C4C2×D4×C3112yes—
537C22×C4C2×D4×C3112yes—
538C22×C4C2×D4×C3114yes—
539C22×C4#41×C3112yes—
540C22×C4#41×C3112yes—
541C4⋊C4—28no—
542C4⋊C4—216no—
543C4⋊C4—44no—
544C22⋊C4—216no—
545C22⋊C4—232no—
546C22⋊C4—416no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C42—28no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—28no—
569C23—24no—
570C23—24no—
571C23—28no—
572C23—24no—
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—
589C23—42no—
590C23—42no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23C31×#12118yescomplemented
608C23C22×D4×C3112yes—
609C23C22×D4×C3111yescharacteristic
610C23C22×D4×C3111yescharacteristic
611C23C22×D4×C3112yes—
612C23C22×D4×C3111yescharacteristic
613C23C2×#41×C3111yescharacteristic
614C23C2×#41×C3112yes—
615C23C2×#41×C3111yescharacteristic
616C23C31×H(5,𝔽2)11yescharacteristic
617C23C31×H(5,𝔽2)12yes—
618C23C31×2−1+411yescharacteristic
619D4—232no—
620D4—464no—
621D4—416no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—28no—
634C2×C4—28no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—432no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4C31×#12014yes—
652C2×C4C31×#12018yes—
653C2×C4C31×#12118yes—
654C2×C4C31×#12114yes—
655C2×C4C31×#12114yescomplemented
656C2×C4C31×#12714yes—
657C22—28no—
658C22—28no—
659C22—28no—
660C22—44no—
661C22—44no—
662C22—44no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—48no—
674C22—48no—
675C22—44no—
676C22—44no—
677C22—82no—
678C22—82no—
679C22—84no—
680C22—84no—
681C22—82no—
682C22—82no—
683C22C2×C31×#12011yescharacteristic
684C22C2×C31×#12012yes—
685C22C2×C31×#12112yes—
686C22C2×C31×#12111yescharacteristic
687C22C2×C31×#12112yes—
688C22C2×C31×#12111yescharacteristic
689C22C31×#52512yes—
690C22C31×#52511yescharacteristic
691C22C2×C31×#12711yescharacteristic
692C22C31×#53512yes—
693C22C31×#53511yescharacteristic
694C22C31×#53712yes—
695C22C31×#53711yescharacteristic
696C22D42×C3111yescharacteristic
697C22D42×C3112yes—
698C22C31×#54612yes—
699C22C31×#54612yes—
700C22C31×#54711yescharacteristic
701C22C31×#54711yescharacteristic
702C22C31×#54812yes—
703C22C31×#55012yes—
704C22C31×#55312yes—
705C22C31×#55511yescharacteristic
706C4—24no—
707C4—42no—
708C4—44no—
709C4—48no—
710C4—82no—
711C4C31×#39218yescomplemented
712C2—48no—
713C2—84no—
714C2C2×C31×#39211yescharacteristic
715C2C31×#240712yes—
716C2C31×#240812yes—
717C2C31×#241412yes—
718C2C31×#241612yes—
719C2C31×#253511yescharacteristic
720C2C31×#253711yescharacteristic
721C2C31×#254011yescharacteristic
722C2C31×#254111yescharacteristic
723C2C31×#261511yescharacteristic
724C2C31×#284711yescharacteristic
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C31×#121C2semidirect
2. C22×C4×D4×C31C2semidirect
3. C2×C31×#392C2semidirect
4. C2×C31×#390C2semidirect
5. C2×C31×#380C2semidirect
6. C31×#1439C2semidirect
7. C31×#1438C2semidirect
8. C31×C4⋊#95C2semidirect
50. C22×D4×C31D4semidirect
51. C22×D4×C31D4semidirect
58. C23×C4×C31D4semidirect
73. C2×C4⋊C4×C31D4semidirect
89. C2×C42×C31D4semidirect
187. #15123C31direct (N × H)
245. C23×C31#121semidirect
293. C2×C4×C31#121semidirect
295. C22×#121C2×C31semidirect
296. C22×C4×D4C2×C31semidirect
297. C2×#392C2×C31semidirect
298. C2×#390C2×C31semidirect
299. C2×#380C2×C31semidirect
300. #1439C2×C31semidirect
301. #1438C2×C31semidirect
302. C4⋊#95C2×C31semidirect
357. C4×C31#392semidirect
412. C22×D4D4×C31semidirect
413. C22×D4D4×C31semidirect
420. C23×C4D4×C31semidirect
435. C2×C4⋊C4D4×C31semidirect
451. C2×C42D4×C31semidirect
455. C31#15123direct (N × H)
607. C23C31×#121semidirect
655. C2×C4C31×#121semidirect
711. C4C31×#392semidirect

Maximal subgroups

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

subgroupindex
C22×C31×#1212
C22×C4×D4×C312
C2×C31×#3922
C2×C31×#3902
C2×C31×#3802
C31×#14392
C31×#14382
C31×C4⋊#952
#1512331