Finite Group Databasebeta

← C31×#13842 #21470601

Subgroups — C31×#13842 #21470601

Order 7936.

1814 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊C4×C31C211yesmaximal, characteristic, complemented
2C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
3C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
5C2×C31×#376C211yesmaximal, characteristic, complemented
6C31×#1443C212yesmaximal, complemented
7C31×#1442C212yesmaximal, complemented
8C31×#1440C212yesmaximal
9C31×#1439C212yesmaximal
10C4×C31×#95C211yesmaximal, characteristic, complemented
11C4×C31×#95C211yesmaximal, characteristic, complemented
12C24×C4×C31C2211yescharacteristic
13C22×C4⋊C4×C31C2212yes—
14C22×C22⋊C4×C31C2212yes—
15C22×C22⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2211yescharacteristic
17C22×C22⋊C4×C31C2211yescharacteristic
18C22×C42×C31C2211yescharacteristic
19C22×C42×C31C2211yescharacteristic
20C22×C42×C31C2211yescharacteristic
21C22×C42×C31C2211yescharacteristic
22C22×C42×C31C2211yescharacteristic
23C22×C42×C31C2211yescharacteristic
24C4×C4⋊C4×C31—24no—
25C4×C22⋊C4×C31—24no—
26C4×C22⋊C4×C31—24no—
27C4×C22⋊C4×C31C418yescomplemented
28C31×#376—24no—
29C2×C31×#95C2212yes—
30C2×C31×#95C2212yes—
31C2×C31×#95C2212yes—
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2212yes—
35C2×C31×#95C2212yes—
36C2×C31×#95C2212yes—
37C2×C31×#95C2212yes—
38C2×C31×#95C2211yescharacteristic
39C2×C31×#95C2211yescharacteristic
40C25×C31C2311yescharacteristic
41C23×C4×C31—22no—
42C23×C4×C31—22no—
43C23×C4×C31—22no—
44C23×C4×C31—22no—
45C23×C4×C31—22no—
46C23×C4×C31—22no—
47C23×C4×C31C2×C414yes—
48C23×C4×C31C2311yescharacteristic
49C23×C4×C31C2311yescharacteristic
50C23×C4×C31C2311yescharacteristic
51C23×C4×C31C2311yescharacteristic
52C23×C4×C31C2312yes—
53C23×C4×C31C2312yes—
54C23×C4×C31C2312yes—
55C23×C4×C31C2312yes—
56C23×C4×C31C2311yescharacteristic
57C23×C4×C31C2311yescharacteristic
58C2×C4⋊C4×C31—24no—
59C2×C4⋊C4×C31—24no—
60C2×C4⋊C4×C31—24no—
61C2×C22⋊C4×C31—24no—
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×C31C2×C414yes—
70C2×C22⋊C4×C31C2×C414yes—
71C2×C42×C31—22no—
72C2×C42×C31—22no—
73C2×C42×C31—22no—
74C2×C42×C31—22no—
75C2×C42×C31—22no—
76C2×C42×C31—22no—
77C2×C42×C31—22no—
78C2×C42×C31—22no—
79C2×C42×C31—22no—
80C2×C42×C31—22no—
81C2×C42×C31—22no—
82C2×C42×C31—22no—
83C2×C42×C31—22no—
84C2×C42×C31—22no—
85C2×C42×C31C2×C414yes—
86C2×C42×C31C2×C414yes—
87C2×C42×C31D414yes—
88C2×C42×C31D414yes—
89C31×#95—24no—
90C31×#95—24no—
91C31×#95—24no—
92C31×#95—24no—
93C31×#95—24no—
94C31×#95—24no—
95C31×#95—24no—
96C31×#95—24no—
97C31×#95—24no—
98C31×#95C2×C414yes—
99C31×#95C2×C414yes—
100C24×C31—21no—
101C24×C31—21no—
102C24×C31—22no—
103C24×C31—22no—
104C24×C31—22no—
105C24×C31—21no—
106C24×C31—21no—
107C24×C31—21no—
108C24×C31—21no—
109C24×C31C22×C412yes—
110C24×C31#4114yes—
111C24×C31C2411yescharacteristic
112C22×C4×C31—21no—
113C22×C4×C31—21no—
114C22×C4×C31—22no—
115C22×C4×C31—21no—
116C22×C4×C31—21no—
117C22×C4×C31—21no—
118C22×C4×C31—22no—
119C22×C4×C31—21no—
120C22×C4×C31—21no—
121C22×C4×C31—22no—
122C22×C4×C31—22no—
123C22×C4×C31—22no—
124C22×C4×C31—22no—
125C22×C4×C31—22no—
126C22×C4×C31—22no—
127C22×C4×C31—22no—
128C22×C4×C31—22no—
129C22×C4×C31—22no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—21no—
133C22×C4×C31—21no—
134C22×C4×C31—21no—
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—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—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—28no—
158C22×C4×C31—28no—
159C22×C4×C31—28no—
160C22×C4×C31—44no—
161C22×C4×C31—44no—
162C22×C4×C31—44no—
163C22×C4×C31—44no—
164C22×C4×C31C22×C412yes—
165C22×C4×C31C22×C412yes—
166C22×C4×C31C22×C412yes—
167C22×C4×C31C22×C412yes—
168C22×C4×C31C22×C412yes—
169C22×C4×C31C22×C412yes—
170C22×C4×C31C2×D414yes—
171C22×C4×C31C2×D414yes—
172C22×C4×C31C2×D412yes—
173C22×C4×C31C2×D412yes—
174C22×C4×C31#4114yes—
175C22×C4×C31#4114yes—
176C22×C4×C31#4114yes—
177C22×C4×C31#4112yes—
178C22×C4×C31#4112yes—
179C22×C4×C31#4112yes—
180C22×C4×C31#4112yes—
181C4⋊C4×C31—216no—
182C22⋊C4×C31—216no—
183C22⋊C4×C31—216no—
184C22⋊C4×C31—28no—
185C22⋊C4×C31—28no—
186C42×C31—28no—
187C42×C31—28no—
188C42×C31—28no—
189C42×C31—28no—
190C42×C31—44no—
191C42×C31—44no—
192#13842C3111yesmaximal, characteristic, direct product factor, Sylow
193C23×C31—22no—
194C23×C31—22no—
195C23×C31—22no—
196C23×C31—22no—
197C23×C31—22no—
198C23×C31—22no—
199C23×C31—24no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—41no—
206C23×C31—41no—
207C23×C31—42no—
208C23×C31—41no—
209C23×C31—41no—
210C23×C31—42no—
211C23×C31—42no—
212C23×C31—42no—
213C23×C31—42no—
214C23×C31—42no—
215C23×C31#11714yes—
216C23×C31C23×C411yescharacteristic
217C23×C31C22×D411yescharacteristic
218C23×C31C22×D411yescharacteristic
219C23×C31C2×#4111yescharacteristic
220C23×C31C2×#4111yescharacteristic
221C23×C31C2×#4112yes—
222C23×C31C2×#4112yes—
223C23×C31C2×#4111yescharacteristic
224C23×C31C2×#4111yescharacteristic
225C23×C31C2×#4112yes—
226C23×C31C2×#4112yes—
227C2×C4×C31—22no—
228C2×C4×C31—22no—
229C2×C4×C31—24no—
230C2×C4×C31—24no—
231C2×C4×C31—22no—
232C2×C4×C31—22no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—24no—
244C2×C4×C31—24no—
245C2×C4×C31—24no—
246C2×C4×C31—24no—
247C2×C4×C31—24no—
248C2×C4×C31—24no—
249C2×C4×C31—24no—
250C2×C4×C31—24no—
251C2×C4×C31—24no—
252C2×C4×C31—24no—
253C2×C4×C31—24no—
254C2×C4×C31—24no—
255C2×C4×C31—42no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—42no—
259C2×C4×C31—42no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—42no—
267C2×C4×C31—42no—
268C2×C4×C31—42no—
269C2×C4×C31—42no—
270C2×C4×C31—42no—
271C2×C4×C31—42no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
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—416no—
282C2×C4×C31#11714yes—
283C2×C4×C31#11714yes—
284C2×C4×C31C4×D414yes—
285C2×C4×C31C4×D414yes—
286C2×C4×C31#12114yes—
287C2×C4×C31#12314yes—
288C2×C4×C31#12414yes—
289C2×C4×C31#12614yes—
290C2×C4×C4⋊C4C2×C3111yescharacteristic, complemented
291C2×C4×C22⋊C4C2×C3111yescharacteristic
292C2×C4×C22⋊C4C2×C3111yescharacteristic
293C2×C4×C22⋊C4C2×C3111yescharacteristic
294C2×#376C2×C3111yescharacteristic, complemented
295#1443C2×C3112yescomplemented
296#1442C2×C3112yescomplemented
297#1440C2×C3112yes—
298#1439C2×C3112yes—
299C4×#95C2×C3111yescharacteristic, complemented
300C4×#95C2×C3111yescharacteristic, complemented
301C22×C31—24no—
302C22×C31—24no—
303C22×C31—24no—
304C22×C31—44no—
305C22×C31—44no—
306C22×C31—44no—
307C22×C31—44no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—42no—
311C22×C31—42no—
312C22×C31C2×#11711yescharacteristic
313C22×C31C2×#11711yescharacteristic
314C22×C31C2×#11711yescharacteristic
315C22×C31C2×C4×D411yescharacteristic
316C22×C31C2×C4×D411yescharacteristic
317C22×C31C4×#4111yescharacteristic
318C22×C31C4×#4111yescharacteristic
319C22×C31C2×#12111yescharacteristic
320C22×C31C2×#12311yescharacteristic
321C22×C31#52512yes—
322C22×C31#52512yes—
323C22×C31#52512yes—
324C22×C31C2×#12411yescharacteristic
325C22×C31C2×#12611yescharacteristic
326C22×C31#52912yes—
327C22×C31#52912yes—
328C22×C31#52912yes—
329C22×C31#52912yes—
330C22×C31#52912yes—
331C22×C31#52912yes—
332C22×C31#52912yes—
333C22×C31#52912yes—
334C22×C31#53212yes—
335C4×C31—24no—
336C4×C31—44no—
337C4×C31—44no—
338C4×C31—44no—
339C4×C31—44no—
340C4×C31—42no—
341C4×C31—42no—
342C4×C31—42no—
343C4×C31—42no—
344C4×C31#38818yes—
345C24×C4C22×C3111yescharacteristic
346C22×C4⋊C4C22×C3112yes—
347C22×C22⋊C4C22×C3112yes—
348C22×C22⋊C4C22×C3112yes—
349C22×C22⋊C4C22×C3111yescharacteristic
350C22×C22⋊C4C22×C3111yescharacteristic
351C22×C42C22×C3111yescharacteristic
352C22×C42C22×C3111yescharacteristic
353C22×C42C22×C3111yescharacteristic
354C22×C42C22×C3111yescharacteristic
355C22×C42C22×C3111yescharacteristic
356C22×C42C22×C3111yescharacteristic
357C4×C4⋊C4—24no—
358C4×C22⋊C4—24no—
359C4×C22⋊C4—24no—
360C4×C22⋊C4C4×C3118yescomplemented
361#376—24no—
362C2×#95C22×C3112yes—
363C2×#95C22×C3112yes—
364C2×#95C22×C3112yes—
365C2×#95C22×C3112yes—
366C2×#95C22×C3112yes—
367C2×#95C22×C3112yes—
368C2×#95C22×C3112yes—
369C2×#95C22×C3112yes—
370C2×#95C22×C3112yes—
371C2×#95C22×C3111yescharacteristic
372C2×#95C22×C3111yescharacteristic
373C2×C31—44no—
374C2×C31#228311yescharacteristic
375C2×C31C2×#38811yescharacteristic
376C2×C31#229011yescharacteristic
377C2×C31#229011yescharacteristic
378C2×C31#229011yescharacteristic
379C2×C31#229311yescharacteristic
380C2×C31#229811yescharacteristic
381C2×C31#239212yes—
382C2×C31#239512yes—
383C2×C31#239812yes—
384C2×C31#240112yes—
385C25C23×C3111yescharacteristic
386C23×C4—22no—
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—22no—
391C23×C4—22no—
392C23×C4C2×C4×C3114yes—
393C23×C4C23×C3111yescharacteristic
394C23×C4C23×C3111yescharacteristic
395C23×C4C23×C3111yescharacteristic
396C23×C4C23×C3111yescharacteristic
397C23×C4C23×C3112yes—
398C23×C4C23×C3112yes—
399C23×C4C23×C3112yes—
400C23×C4C23×C3112yes—
401C23×C4C23×C3111yescharacteristic
402C23×C4C23×C3111yescharacteristic
403C2×C4⋊C4—24no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C22⋊C4—24no—
407C2×C22⋊C4—24no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4C2×C4×C3114yes—
415C2×C22⋊C4C2×C4×C3114yes—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—22no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42C2×C4×C3114yes—
431C2×C42C2×C4×C3114yes—
432C2×C42D4×C3114yes—
433C2×C42D4×C3114yes—
434#95—24no—
435#95—24no—
436#95—24no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—24no—
443#95C2×C4×C3114yes—
444#95C2×C4×C3114yes—
445C31#1384211yescharacteristic, direct product factor, Sylow
446C24—21no—
447C24—21no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24C22×C4×C3112yes—
456C24#41×C3114yes—
457C24C24×C3111yescharacteristic
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4C22×C4×C3112yes—
511C22×C4C22×C4×C3112yes—
512C22×C4C22×C4×C3112yes—
513C22×C4C22×C4×C3112yes—
514C22×C4C22×C4×C3112yes—
515C22×C4C22×C4×C3112yes—
516C22×C4C2×D4×C3114yes—
517C22×C4C2×D4×C3114yes—
518C22×C4C2×D4×C3112yes—
519C22×C4C2×D4×C3112yes—
520C22×C4#41×C3114yes—
521C22×C4#41×C3114yes—
522C22×C4#41×C3114yes—
523C22×C4#41×C3112yes—
524C22×C4#41×C3112yes—
525C22×C4#41×C3112yes—
526C22×C4#41×C3112yes—
527C4⋊C4—216no—
528C22⋊C4—216no—
529C22⋊C4—216no—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C42—28no—
533C42—28no—
534C42—28no—
535C42—28no—
536C42—44no—
537C42—44no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—41no—
551C23—41no—
552C23—42no—
553C23—41no—
554C23—41no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23C31×#11714yes—
561C23C23×C4×C3111yescharacteristic
562C23C22×D4×C3111yescharacteristic
563C23C22×D4×C3111yescharacteristic
564C23C2×#41×C3111yescharacteristic
565C23C2×#41×C3111yescharacteristic
566C23C2×#41×C3112yes—
567C23C2×#41×C3112yes—
568C23C2×#41×C3111yescharacteristic
569C23C2×#41×C3111yescharacteristic
570C23C2×#41×C3112yes—
571C23C2×#41×C3112yes—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—42no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—416no—
627C2×C4C31×#11714yes—
628C2×C4C31×#11714yes—
629C2×C4C4×D4×C3114yes—
630C2×C4C4×D4×C3114yes—
631C2×C4C31×#12114yes—
632C2×C4C31×#12314yes—
633C2×C4C31×#12414yes—
634C2×C4C31×#12614yes—
635C22—24no—
636C22—24no—
637C22—24no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22C2×C31×#11711yescharacteristic
647C22C2×C31×#11711yescharacteristic
648C22C2×C31×#11711yescharacteristic
649C22C2×C4×D4×C3111yescharacteristic
650C22C2×C4×D4×C3111yescharacteristic
651C22C4×#41×C3111yescharacteristic
652C22C4×#41×C3111yescharacteristic
653C22C2×C31×#12111yescharacteristic
654C22C2×C31×#12311yescharacteristic
655C22C31×#52512yes—
656C22C31×#52512yes—
657C22C31×#52512yes—
658C22C2×C31×#12411yescharacteristic
659C22C2×C31×#12611yescharacteristic
660C22C31×#52912yes—
661C22C31×#52912yes—
662C22C31×#52912yes—
663C22C31×#52912yes—
664C22C31×#52912yes—
665C22C31×#52912yes—
666C22C31×#52912yes—
667C22C31×#52912yes—
668C22C31×#53212yes—
669C4—24no—
670C4—44no—
671C4—44no—
672C4—44no—
673C4—44no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4C31×#38818yes—
679C2—44no—
680C2C31×#228311yescharacteristic
681C2C2×C31×#38811yescharacteristic
682C2C31×#229011yescharacteristic
683C2C31×#229011yescharacteristic
684C2C31×#229011yescharacteristic
685C2C31×#229311yescharacteristic
686C2C31×#229811yescharacteristic
687C2C31×#239212yes—
688C2C31×#239512yes—
689C2C31×#239812yes—
690C2C31×#240112yes—
subgroupG/H
centerC23×C4×C31C23
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
socleC24×C31C24
prime radicalC25×C31C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊C4×C31C2semidirect
5. C2×C31×#376C2semidirect
6. C31×#1443C2semidirect
7. C31×#1442C2semidirect
10. C4×C31×#95C2semidirect
11. C4×C31×#95C2semidirect
27. C4×C22⋊C4×C31C4semidirect
192. #13842C31direct (N × H)
290. C2×C4×C4⋊C4C2×C31semidirect
294. C2×#376C2×C31semidirect
295. #1443C2×C31semidirect
296. #1442C2×C31semidirect
299. C4×#95C2×C31semidirect
300. C4×#95C2×C31semidirect
360. C4×C22⋊C4C4×C31semidirect
445. C31#13842direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊C4×C312
C2×C4×C22⋊C4×C312
C2×C31×#3762
C31×#14432
C31×#14422
C31×#14402
C31×#14392
C4×C31×#952
#1384231