Finite Group Databasebeta

← C31×#33350 #21490109

Subgroups — C31×#33350 #21490109

Order 7936.

1240 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3485C211yesmaximal, characteristic
2C31×#2888C211yesmaximal, characteristic, complemented
3C31×#2883C211yesmaximal, characteristic, complemented
4C31×#2123C212yesmaximal, complemented
5C31×#2121C214yesmaximal, complemented
6C31×#2120C212yesmaximal, complemented
7C2×C31×#352C214yesmaximal, complemented
8C2×C31×H(5,𝔽2)C2211yescharacteristic
9C22×#41×C31C411yescharacteristic, complemented
10C31×#568—21no—
11C31×#547—21no—
12C31×#547—22no—
13C31×#547—21no—
14C31×#546—21no—
15C31×#546—22no—
16C31×#546—21no—
17C31×#536C411yescharacteristic, complemented
18C31×#536C2211yescharacteristic
19C31×#534C412yescomplemented
20C31×#534C2212yes—
21C31×#525C411yescharacteristic, complemented
22C31×#525C2211yescharacteristic
23C2×C31×#123C412yescomplemented
24C2×C31×#123C2212yes—
25C31×#518—21no—
26C31×#518C411yescharacteristic, complemented
27C31×#413—22no—
28C31×#413C2212yes—
29C2×C31×#100—21no—
30C2×C31×#100C2214yes—
31C31×#410—21no—
32C31×#410C2212yes—
33C2×C31×#99—22no—
34C2×C31×#99C2214yes—
35C31×#352C2214yescomplemented
36C31×#352C2218yescomplemented
37C31×AΣL(1,𝔽16)C2214yescomplemented
38C31×H(5,𝔽2)—44no—
39C2×#41×C31—21no—
40C2×#41×C31—22no—
41C2×#41×C31—21no—
42C2×#41×C31—44no—
43C2×#41×C31C2×C411yescharacteristic
44C2×#41×C31D412yes—
45C2×#41×C31D411yescharacteristic
46C2×#41×C31D411yescharacteristic
47C2×#41×C31C2311yescharacteristic
48C22×Q8×C31C2×C411yescharacteristic, complemented
49C22×D4×C31C2×C412yes—
50C22×D4×C31C2×C411yescharacteristic
51C22×D4×C31C2×C412yescomplemented
52C22×D4×C31D412yes—
53C22×D4×C31D411yescharacteristic
54C22×D4×C31D411yescharacteristic
55C22×D4×C31C2312yes—
56C23×C4×C31C2×C412yescomplemented
57C23×C4×C31C2×C411yescharacteristic, complemented
58C31×#131—44no—
59C2×M16×C31—22no—
60C2×M16×C31—24no—
61C31×C4⋊Q8—21no—
62C31×C4⋊Q8—21no—
63C31×#124—21no—
64C31×#124—21no—
65C31×#123—22no—
66C31×#123—22no—
67C31×#123—22no—
68C31×#123—22no—
69C31×#123—22no—
70C31×#123—22no—
71C31×#123C2×C411yescharacteristic, complemented
72C31×#123C2×C412yescomplemented
73C31×#123C2×C412yescomplemented
74C31×#123C2×C412yescomplemented
75C31×#123C2×C412yescomplemented
76C31×#123C2311yescharacteristic
77C31×#123C2312yes—
78C31×C22⋊Q8—21no—
79C31×C22⋊Q8—21no—
80C31×C22⋊Q8—22no—
81C31×C22⋊Q8—21no—
82C31×C22⋊Q8—21no—
83C31×#121—21no—
84C31×#121—22no—
85C31×#121—22no—
86C31×#121—21no—
87C31×#121—22no—
88C31×#121—22no—
89C31×#120—22no—
90C31×#120—22no—
91C31×#120C2×C412yescomplemented
92C31×#120C2×C411yescharacteristic, complemented
93C31×#120C2311yescharacteristic
94C4×D4×C31—22no—
95C4×D4×C31—21no—
96C4×D4×C31—21no—
97C4×D4×C31—22no—
98C4×D4×C31—21no—
99C4×D4×C31—21no—
100C4×D4×C31—44no—
101C31×#117—22no—
102C31×#117C2×C411yescharacteristic, complemented
103C31×#117C2×C411yescharacteristic, complemented
104C2×C4⋊C4×C31—22no—
105C2×C4⋊C4×C31—22no—
106C2×C22⋊C4×C31—22no—
107C2×C22⋊C4×C31—22no—
108C2×C22⋊C4×C31—24no—
109C2×C22⋊C4×C31C2×C412yescomplemented
110C2×C22⋊C4×C31C2×C412yescomplemented
111C31×#101—22no—
112C31×#100—24no—
113C31×#100C2314yes—
114C31×#99—22no—
115C31×#99—24no—
116C31×#99C2314yes—
117C24×C31C22⋊C412yes—
118C24×C31C22×C412yes—
119C24×C31C22×C411yescharacteristic
120C24×C31C2×D412yes—
121#41×C31—24no—
122#41×C31—42no—
123#41×C31—44no—
124#41×C31—42no—
125#41×C31—42no—
126#41×C31—48no—
127#41×C31—44no—
128#41×C31—44no—
129C2×Q8×C31—21no—
130C2×Q8×C31—21no—
131C2×Q8×C31—42no—
132C2×Q8×C31C22⋊C411yescharacteristic
133C2×Q8×C31C2×D411yescharacteristic
134C2×D4×C31—24no—
135C2×D4×C31—24no—
136C2×D4×C31—22no—
137C2×D4×C31—22no—
138C2×D4×C31—22no—
139C2×D4×C31—21no—
140C2×D4×C31—21no—
141C2×D4×C31—42no—
142C2×D4×C31—44no—
143C2×D4×C31—44no—
144C2×D4×C31—44no—
145C2×D4×C31—44no—
146C2×D4×C31C22⋊C412yes—
147C2×D4×C31C22⋊C411yescharacteristic
148C2×D4×C31C22⋊C412yes—
149C2×D4×C31C22⋊C412yes—
150C2×D4×C31C22⋊C411yescharacteristic
151C2×D4×C31C22⋊C411yescharacteristic
152C2×D4×C31C22×C411yescharacteristic
153C2×D4×C31C22×C412yes—
154C2×D4×C31C2×D412yes—
155C2×D4×C31C2×D411yescharacteristic
156C2×D4×C31C2×D412yes—
157C2×D4×C31C2411yescharacteristic
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—42no—
165C22×C4×C31—44no—
166C22×C4×C31—44no—
167C22×C4×C31C22⋊C412yes—
168C22×C4×C31C22⋊C412yes—
169C22×C4×C31C22×C411yescharacteristic
170C22×C4×C31C22×C411yescharacteristic
171C22×C4×C31C22×C412yes—
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2×D412yes—
174C22×C4×C31C2×D411yescharacteristic
175M16×C31—24no—
176M16×C31—44no—
177M16×C31—42no—
178C2×C8×C31—44no—
179C2×C8×C31—42no—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—22no—
182C4⋊C4×C31—22no—
183C4⋊C4×C31—22no—
184C4⋊C4×C31—22no—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—22no—
189C4⋊C4×C31—42no—
190C22⋊C4×C31—22no—
191C22⋊C4×C31—21no—
192C22⋊C4×C31—22no—
193C22⋊C4×C31—22no—
194C22⋊C4×C31—22no—
195C22⋊C4×C31—22no—
196C22⋊C4×C31—22no—
197C22⋊C4×C31—21no—
198C22⋊C4×C31—22no—
199C22⋊C4×C31—21no—
200C22⋊C4×C31—22no—
201C22⋊C4×C31—21no—
202C22⋊C4×C31—24no—
203C22⋊C4×C31—44no—
204C22⋊C4×C31C22×C412yes—
205C22⋊C4×C31C22×C411yescharacteristic
206C22⋊C4×C31C22×C411yescharacteristic
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—42no—
210#33350C3111yesmaximal, characteristic, direct product factor, Sylow
211C23×C31—24no—
212C23×C31—24no—
213C23×C31—21no—
214C23×C31—42no—
215C23×C31—41no—
216C23×C31—82no—
217C23×C31—81no—
218C23×C31—82no—
219C23×C31—82no—
220C23×C31C2×C22⋊C412yes—
221C23×C31C2×C22⋊C411yescharacteristic
222C23×C31C2×C22⋊C412yes—
223C23×C31C2×C22⋊C412yes—
224C23×C31C23×C411yescharacteristic
225C23×C31C22×D411yescharacteristic
226Q8×C31—22no—
227Q8×C31—41no—
228Q8×C31—42no—
229Q8×C31—42no—
230D4×C31—24no—
231D4×C31—24no—
232D4×C31—24no—
233D4×C31—22no—
234D4×C31—22no—
235D4×C31—41no—
236D4×C31—42no—
237D4×C31—42no—
238D4×C31—41no—
239D4×C31—42no—
240D4×C31—41no—
241D4×C31—44no—
242D4×C31—44no—
243D4×C31—82no—
244D4×C31—81no—
245D4×C31—81no—
246D4×C31#9914yes—
247C2×C4×C31—24no—
248C2×C4×C31—22no—
249C2×C4×C31—22no—
250C2×C4×C31—22no—
251C2×C4×C31—21no—
252C2×C4×C31—22no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—22no—
256C2×C4×C31—42no—
257C2×C4×C31—42no—
258C2×C4×C31—42no—
259C2×C4×C31—44no—
260C2×C4×C31—44no—
261C2×C4×C31—42no—
262C2×C4×C31—41no—
263C2×C4×C31—42no—
264C2×C4×C31—44no—
265C2×C4×C31—82no—
266C2×C4×C31—82no—
267C2×C4×C31—164no—
268C2×C4×C31C2×C22⋊C411yescharacteristic
269C2×C4×C31C2×C22⋊C411yescharacteristic
270C2×C4×C31C2×C22⋊C412yes—
271C2×C4×C31C2×C22⋊C411yescharacteristic
272C2×C4×C31C22×D411yescharacteristic
273C8×C31—44no—
274#3485C2×C3111yescharacteristic
275#2888C2×C3111yescharacteristic, complemented
276#2883C2×C3111yescharacteristic, complemented
277#2123C2×C3112yescomplemented
278#2121C2×C3114yescomplemented
279#2120C2×C3112yescomplemented
280C2×#352C2×C3114yescomplemented
281C22×C31—21no—
282C22×C31—21no—
283C22×C31—21no—
284C22×C31—22no—
285C22×C31—22no—
286C22×C31—42no—
287C22×C31—42no—
288C22×C31—42no—
289C22×C31—41no—
290C22×C31—41no—
291C22×C31—41no—
292C22×C31—41no—
293C22×C31—41no—
294C22×C31—41no—
295C22×C31—84no—
296C22×C31—84no—
297C22×C31—82no—
298C22×C31—162no—
299C22×C31C2×#9914yes—
300C22×C31C22×C22⋊C411yescharacteristic
301C4×C31—21no—
302C4×C31—21no—
303C4×C31—21no—
304C4×C31—22no—
305C4×C31—41no—
306C4×C31—42no—
307C4×C31—41no—
308C4×C31—41no—
309C4×C31—42no—
310C4×C31—84no—
311C4×C31C2×#9912yes—
312C2×H(5,𝔽2)C22×C3111yescharacteristic
313C22×#41C4×C3111yescharacteristic, complemented
314#568—21no—
315#547—21no—
316#547—22no—
317#547—21no—
318#546—21no—
319#546—22no—
320#546—21no—
321#536C4×C3111yescharacteristic, complemented
322#536C22×C3111yescharacteristic
323#534C4×C3112yescomplemented
324#534C22×C3112yes—
325#525C4×C3111yescharacteristic, complemented
326#525C22×C3111yescharacteristic
327C2×#123C4×C3112yescomplemented
328C2×#123C22×C3112yes—
329#518—21no—
330#518C4×C3111yescharacteristic, complemented
331#413—22no—
332#413C22×C3112yes—
333C2×#100—21no—
334C2×#100C22×C3114yes—
335#410—21no—
336#410C22×C3112yes—
337C2×#99—22no—
338C2×#99C22×C3114yes—
339#352C22×C3114yescomplemented
340#352C22×C3118yescomplemented
341AΣL(1,𝔽16)C22×C3114yescomplemented
342C2×C31—21no—
343C2×C31—24no—
344C2×C31—41no—
345C2×C31—41no—
346C2×C31—42no—
347C2×C31—42no—
348C2×C31—41no—
349C2×C31—81no—
350C2×C31C22×#9911yescharacteristic
351H(5,𝔽2)—44no—
352C2×#41—21no—
353C2×#41—22no—
354C2×#41—21no—
355C2×#41—44no—
356C2×#41C2×C4×C3111yescharacteristic
357C2×#41D4×C3112yes—
358C2×#41D4×C3111yescharacteristic
359C2×#41D4×C3111yescharacteristic
360C2×#41C23×C3111yescharacteristic
361C22×Q8C2×C4×C3111yescharacteristic, complemented
362C22×D4C2×C4×C3112yes—
363C22×D4C2×C4×C3111yescharacteristic
364C22×D4C2×C4×C3112yescomplemented
365C22×D4D4×C3112yes—
366C22×D4D4×C3111yescharacteristic
367C22×D4D4×C3111yescharacteristic
368C22×D4C23×C3112yes—
369C23×C4C2×C4×C3112yescomplemented
370C23×C4C2×C4×C3111yescharacteristic, complemented
371#131—44no—
372C2×M16—22no—
373C2×M16—24no—
374C4⋊Q8—21no—
375C4⋊Q8—21no—
376#124—21no—
377#124—21no—
378#123—22no—
379#123—22no—
380#123—22no—
381#123—22no—
382#123—22no—
383#123—22no—
384#123C2×C4×C3111yescharacteristic, complemented
385#123C2×C4×C3112yescomplemented
386#123C2×C4×C3112yescomplemented
387#123C2×C4×C3112yescomplemented
388#123C2×C4×C3112yescomplemented
389#123C23×C3111yescharacteristic
390#123C23×C3112yes—
391C22⋊Q8—21no—
392C22⋊Q8—21no—
393C22⋊Q8—22no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396#121—21no—
397#121—22no—
398#121—22no—
399#121—21no—
400#121—22no—
401#121—22no—
402#120—22no—
403#120—22no—
404#120C2×C4×C3112yescomplemented
405#120C2×C4×C3111yescharacteristic, complemented
406#120C23×C3111yescharacteristic
407C4×D4—22no—
408C4×D4—21no—
409C4×D4—21no—
410C4×D4—22no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—44no—
414#117—22no—
415#117C2×C4×C3111yescharacteristic, complemented
416#117C2×C4×C3111yescharacteristic, complemented
417C2×C4⋊C4—22no—
418C2×C4⋊C4—22no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4C2×C4×C3112yescomplemented
423C2×C22⋊C4C2×C4×C3112yescomplemented
424#101—22no—
425#100—24no—
426#100C23×C3114yes—
427#99—22no—
428#99—24no—
429#99C23×C3114yes—
430C31#3335011yescharacteristic, direct product factor, Sylow
431C24C22⋊C4×C3112yes—
432C24C22×C4×C3112yes—
433C24C22×C4×C3111yescharacteristic
434C24C2×D4×C3112yes—
435#41—24no—
436#41—42no—
437#41—44no—
438#41—42no—
439#41—42no—
440#41—48no—
441#41—44no—
442#41—44no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—42no—
446C2×Q8C22⋊C4×C3111yescharacteristic
447C2×Q8C2×D4×C3111yescharacteristic
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4C22⋊C4×C3112yes—
461C2×D4C22⋊C4×C3111yescharacteristic
462C2×D4C22⋊C4×C3112yes—
463C2×D4C22⋊C4×C3112yes—
464C2×D4C22⋊C4×C3111yescharacteristic
465C2×D4C22⋊C4×C3111yescharacteristic
466C2×D4C22×C4×C3111yescharacteristic
467C2×D4C22×C4×C3112yes—
468C2×D4C2×D4×C3112yes—
469C2×D4C2×D4×C3111yescharacteristic
470C2×D4C2×D4×C3112yes—
471C2×D4C24×C3111yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4C22⋊C4×C3112yes—
482C22×C4C22⋊C4×C3112yes—
483C22×C4C22×C4×C3111yescharacteristic
484C22×C4C22×C4×C3111yescharacteristic
485C22×C4C22×C4×C3112yes—
486C22×C4C2×D4×C3111yescharacteristic
487C22×C4C2×D4×C3112yes—
488C22×C4C2×D4×C3111yescharacteristic
489M16—24no—
490M16—44no—
491M16—42no—
492C2×C8—44no—
493C2×C8—42no—
494C4⋊C4—21no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—22no—
503C4⋊C4—42no—
504C22⋊C4—22no—
505C22⋊C4—21no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—21no—
512C22⋊C4—22no—
513C22⋊C4—21no—
514C22⋊C4—22no—
515C22⋊C4—21no—
516C22⋊C4—24no—
517C22⋊C4—44no—
518C22⋊C4C22×C4×C3112yes—
519C22⋊C4C22×C4×C3111yescharacteristic
520C22⋊C4C22×C4×C3111yescharacteristic
521C42—21no—
522C42—21no—
523C42—42no—
524C23—24no—
525C23—24no—
526C23—21no—
527C23—42no—
528C23—41no—
529C23—82no—
530C23—81no—
531C23—82no—
532C23—82no—
533C23C2×C22⋊C4×C3112yes—
534C23C2×C22⋊C4×C3111yescharacteristic
535C23C2×C22⋊C4×C3112yes—
536C23C2×C22⋊C4×C3112yes—
537C23C23×C4×C3111yescharacteristic
538C23C22×D4×C3111yescharacteristic
539Q8—22no—
540Q8—41no—
541Q8—42no—
542Q8—42no—
543D4—24no—
544D4—24no—
545D4—24no—
546D4—22no—
547D4—22no—
548D4—41no—
549D4—42no—
550D4—42no—
551D4—41no—
552D4—42no—
553D4—41no—
554D4—44no—
555D4—44no—
556D4—82no—
557D4—81no—
558D4—81no—
559D4C31×#9914yes—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—22no—
569C2×C4—42no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—44no—
573C2×C4—44no—
574C2×C4—42no—
575C2×C4—41no—
576C2×C4—42no—
577C2×C4—44no—
578C2×C4—82no—
579C2×C4—82no—
580C2×C4—164no—
581C2×C4C2×C22⋊C4×C3111yescharacteristic
582C2×C4C2×C22⋊C4×C3111yescharacteristic
583C2×C4C2×C22⋊C4×C3112yes—
584C2×C4C2×C22⋊C4×C3111yescharacteristic
585C2×C4C22×D4×C3111yescharacteristic
586C8—44no—
587C22—21no—
588C22—21no—
589C22—21no—
590C22—22no—
591C22—22no—
592C22—42no—
593C22—42no—
594C22—42no—
595C22—41no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—84no—
602C22—84no—
603C22—82no—
604C22—162no—
605C22C2×C31×#9914yes—
606C22C22×C22⋊C4×C3111yescharacteristic
607C4—21no—
608C4—21no—
609C4—21no—
610C4—22no—
611C4—41no—
612C4—42no—
613C4—41no—
614C4—41no—
615C4—42no—
616C4—84no—
617C4C2×C31×#9912yes—
618C2—21no—
619C2—24no—
620C2—41no—
621C2—41no—
622C2—42no—
623C2—42no—
624C2—41no—
625C2—81no—
626C2C22×C31×#9911yescharacteristic
subgroupG/H
center, socleC2×C31C22×#99
commutatorC23C23×C4×C31
Frattini, cosocleC2×D4C24×C31
prime radicalC31×#3485C2
LCSG ▷ C23 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C31 ◁ C2×D4×C31 ◁ C2×C31×H(5,𝔽2) ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#2888C2semidirect
3. C31×#2883C2semidirect
4. C31×#2123C2semidirect
5. C31×#2121C2semidirect
6. C31×#2120C2semidirect
7. C2×C31×#352C2semidirect
9. C22×#41×C31C4semidirect
17. C31×#536C4semidirect
19. C31×#534C4semidirect
21. C31×#525C4semidirect
23. C2×C31×#123C4semidirect
26. C31×#518C4semidirect
35. C31×#352C22semidirect
36. C31×#352C22semidirect
37. C31×AΣL(1,𝔽16)C22semidirect
48. C22×Q8×C31C2×C4semidirect
51. C22×D4×C31C2×C4semidirect
56. C23×C4×C31C2×C4semidirect
57. C23×C4×C31C2×C4semidirect
71. C31×#123C2×C4semidirect
72. C31×#123C2×C4semidirect
73. C31×#123C2×C4semidirect
74. C31×#123C2×C4semidirect
75. C31×#123C2×C4semidirect
91. C31×#120C2×C4semidirect
92. C31×#120C2×C4semidirect
102. C31×#117C2×C4semidirect
103. C31×#117C2×C4semidirect
109. C2×C22⋊C4×C31C2×C4semidirect
110. C2×C22⋊C4×C31C2×C4semidirect
210. #33350C31direct (N × H)
275. #2888C2×C31semidirect
276. #2883C2×C31semidirect
277. #2123C2×C31semidirect
278. #2121C2×C31semidirect
279. #2120C2×C31semidirect
280. C2×#352C2×C31semidirect
313. C22×#41C4×C31semidirect
321. #536C4×C31semidirect
323. #534C4×C31semidirect
325. #525C4×C31semidirect
327. C2×#123C4×C31semidirect
330. #518C4×C31semidirect
339. #352C22×C31semidirect
340. #352C22×C31semidirect
341. AΣL(1,𝔽16)C22×C31semidirect
361. C22×Q8C2×C4×C31semidirect
364. C22×D4C2×C4×C31semidirect
369. C23×C4C2×C4×C31semidirect
370. C23×C4C2×C4×C31semidirect
384. #123C2×C4×C31semidirect
385. #123C2×C4×C31semidirect
386. #123C2×C4×C31semidirect
387. #123C2×C4×C31semidirect
388. #123C2×C4×C31semidirect
404. #120C2×C4×C31semidirect
405. #120C2×C4×C31semidirect
415. #117C2×C4×C31semidirect
416. #117C2×C4×C31semidirect
422. C2×C22⋊C4C2×C4×C31semidirect
423. C2×C22⋊C4C2×C4×C31semidirect
430. C31#33350direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34852
C31×#28882
C31×#28832
C31×#21232
C31×#21212
C31×#21202
C2×C31×#3522
#3335031