Finite Group Databasebeta

← C2×C31×#1504 #21474297

Subgroups — C2×C31×#1504 #21474297

Order 7936.

1834 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#525C211yesmaximal, characteristic
2C2×C31×#407C211yesmaximal, characteristic, complemented
3C22×C31×#95C211yesmaximal, characteristic, complemented
4C31×#1504C218yesmaximal, direct product factor
5C2×C31×#328C212yesmaximal, complemented
6C2×C31×#327C212yesmaximal, complemented
7C22×#41×C31C411yescharacteristic, complemented
8C24×C4×C31—21no—
9C24×C4×C31C2211yescharacteristic
10C22×M16×C31—21no—
11C31×#525—22no—
12C31×#525—22no—
13C31×#525C414yescomplemented
14C31×#525C2214yes—
15C2×C31×#123—21no—
16C2×C31×C22⋊Q8C411yescharacteristic, complemented
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×#121C411yescharacteristic, complemented
19C2×C31×#121C2211yescharacteristic
20C2×C31×#120—21no—
21C2×C4×D4×C31—21no—
22C2×C4×D4×C31—21no—
23C2×C31×#117C411yescharacteristic, complemented
24C31×#407—22no—
25C31×#407C2214yescomplemented
26C2×C31×C22⋊C8—21no—
27C2×C31×C22⋊C8C2212yes—
28C2×C31×#95—22no—
29C2×C31×#95—21no—
30C2×C31×#95C2212yes—
31C2×C31×#95C2214yescomplemented
32C31×#328C2218yescomplemented
33C31×#327C2218yescomplemented
34C25×C31D411yescharacteristic
35C2×#41×C31—22no—
36C2×#41×C31—44no—
37C2×#41×C31C2×C414yescomplemented
38C22×Q8×C31C2×C411yescharacteristic, complemented
39C22×D4×C31—21no—
40C22×D4×C31—21no—
41C22×D4×C31—21no—
42C22×D4×C31C2×C411yescharacteristic, complemented
43C23×C4×C31—28no—
44C23×C4×C31—22no—
45C23×C4×C31—24no—
46C23×C4×C31—21no—
47C23×C4×C31—44no—
48C23×C4×C31—44no—
49C23×C4×C31—44no—
50C23×C4×C31C2×C411yescharacteristic
51C23×C4×C31C2×C411yescharacteristic
52C23×C4×C31C2×C412yes—
53C23×C4×C31D411yescharacteristic
54C23×C4×C31D411yescharacteristic
55C23×C4×C31D412yes—
56C23×C4×C31D411yescharacteristic
57C23×C4×C31D412yes—
58C23×C4×C31C2311yescharacteristic
59C23×C4×C31C2312yes—
60C2×M16×C31—24no—
61C2×M16×C31—44no—
62C22×C8×C31—22no—
63C31×#123—24no—
64C31×#123—24no—
65C31×C22⋊Q8—22no—
66C31×C22⋊Q8—21no—
67C31×C22⋊Q8—21no—
68C31×C22⋊Q8C2×C414yescomplemented
69C31×C22⋊Q8C2×C412yescomplemented
70C31×C22⋊Q8C2312yes—
71C31×#121—22no—
72C31×#121—21no—
73C31×#121—21no—
74C31×#121C2×C414yescomplemented
75C31×#121C2×C412yescomplemented
76C31×#121C2312yes—
77C31×#120—24no—
78C31×#120—24no—
79C4×D4×C31—24no—
80C4×D4×C31—24no—
81C4×D4×C31—24no—
82C4×D4×C31—24no—
83C31×#117—22no—
84C31×#117C2×C414yescomplemented
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31C2×C411yescharacteristic, complemented
88C2×C4⋊C4×C31C2×C411yescharacteristic, complemented
89C2×C22⋊C4×C31—21no—
90C2×C22⋊C4×C31—21no—
91C2×C22⋊C4×C31—21no—
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
94C2×C42×C31—21no—
95C31×C22⋊C8—24no—
96C31×C22⋊C8—22no—
97C31×C22⋊C8C2314yes—
98C31×#95—22no—
99C31×#95—24no—
100C31×#95C2314yes—
101C24×C31—24no—
102C24×C31—24no—
103C24×C31—22no—
104C24×C31—22no—
105C24×C31—21no—
106C24×C31C22⋊C412yes—
107C24×C31C22⋊C411yescharacteristic
108C24×C31C22⋊C411yescharacteristic
109C24×C31C2×D412yes—
110C24×C31C2×D411yescharacteristic
111#41×C31—48no—
112#41×C31—48no—
113C2×Q8×C31—21no—
114C2×Q8×C31—42no—
115C2×Q8×C31C22×C412yescomplemented
116C2×D4×C31—22no—
117C2×D4×C31—24no—
118C2×D4×C31—24no—
119C2×D4×C31—22no—
120C2×D4×C31—21no—
121C2×D4×C31—42no—
122C2×D4×C31—44no—
123C2×D4×C31—44no—
124C2×D4×C31—42no—
125C2×D4×C31—42no—
126C2×D4×C31C22×C412yescomplemented
127C22×C4×C31—24no—
128C22×C4×C31—24no—
129C22×C4×C31—28no—
130C22×C4×C31—216no—
131C22×C4×C31—21no—
132C22×C4×C31—21no—
133C22×C4×C31—21no—
134C22×C4×C31—24no—
135C22×C4×C31—24no—
136C22×C4×C31—42no—
137C22×C4×C31—44no—
138C22×C4×C31—42no—
139C22×C4×C31—44no—
140C22×C4×C31—42no—
141C22×C4×C31—44no—
142C22×C4×C31—42no—
143C22×C4×C31—44no—
144C22×C4×C31—44no—
145C22×C4×C31—432no—
146C22×C4×C31—44no—
147C22×C4×C31—48no—
148C22×C4×C31—48no—
149C22×C4×C31—44no—
150C22×C4×C31C22⋊C412yes—
151C22×C4×C31C22⋊C412yes—
152C22×C4×C31C22⋊C411yescharacteristic
153C22×C4×C31C22⋊C411yescharacteristic
154C22×C4×C31C22⋊C412yes—
155C22×C4×C31C22⋊C412yes—
156C22×C4×C31C22⋊C412yes—
157C22×C4×C31C22×C412yes—
158C22×C4×C31C22×C411yescharacteristic
159C22×C4×C31C22×C411yescharacteristic
160C22×C4×C31C22×C412yes—
161C22×C4×C31C2×D412yes—
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D412yes—
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D412yes—
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2411yescharacteristic
168M16×C31—48no—
169C2×C8×C31—24no—
170C2×C8×C31—44no—
171C4⋊C4×C31—24no—
172C4⋊C4×C31—22no—
173C4⋊C4×C31—21no—
174C4⋊C4×C31—21no—
175C4⋊C4×C31—22no—
176C4⋊C4×C31C22×C412yescomplemented
177C4⋊C4×C31C22×C412yescomplemented
178C22⋊C4×C31—24no—
179C22⋊C4×C31—22no—
180C22⋊C4×C31—24no—
181C22⋊C4×C31—22no—
182C22⋊C4×C31—24no—
183C22⋊C4×C31—22no—
184C22⋊C4×C31—22no—
185C42×C31—24no—
186C2×#1504C3111yesmaximal, characteristic, direct product factor, Sylow
187C23×C31—216no—
188C23×C31—216no—
189C23×C31—22no—
190C23×C31—22no—
191C23×C31—24no—
192C23×C31—22no—
193C23×C31—24no—
194C23×C31—22no—
195C23×C31—24no—
196C23×C31—22no—
197C23×C31—22no—
198C23×C31—24no—
199C23×C31—22no—
200C23×C31—24no—
201C23×C31—22no—
202C23×C31—22no—
203C23×C31—42no—
204C23×C31—42no—
205C23×C31—42no—
206C23×C31#9914yes—
207C23×C31#10414yes—
208C23×C31C2×C22⋊C412yes—
209C23×C31C2×C22⋊C411yescharacteristic
210C23×C31C2×C22⋊C412yes—
211C23×C31C2×C22⋊C411yescharacteristic
212C23×C31AGL(1,ℤ/8)12yes—
213C23×C31#13712yes—
214C23×C31C22×D411yescharacteristic
215Q8×C31—42no—
216Q8×C31—42no—
217D4×C31—42no—
218D4×C31—42no—
219D4×C31—42no—
220D4×C31—42no—
221D4×C31—48no—
222D4×C31—44no—
223D4×C31—48no—
224C2×C4×C31—22no—
225C2×C4×C31—24no—
226C2×C4×C31—22no—
227C2×C4×C31—24no—
228C2×C4×C31—22no—
229C2×C4×C31—24no—
230C2×C4×C31—22no—
231C2×C4×C31—24no—
232C2×C4×C31—28no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—42no—
237C2×C4×C31—42no—
238C2×C4×C31—42no—
239C2×C4×C31—41no—
240C2×C4×C31—42no—
241C2×C4×C31—42no—
242C2×C4×C31—41no—
243C2×C4×C31—42no—
244C2×C4×C31—41no—
245C2×C4×C31—41no—
246C2×C4×C31—48no—
247C2×C4×C31—432no—
248C2×C4×C31—44no—
249C2×C4×C31—416no—
250C2×C4×C31—44no—
251C2×C4×C31—42no—
252C2×C4×C31—42no—
253C2×C4×C31—42no—
254C2×C4×C31C2×C22⋊C412yes—
255C2×C4×C31C2×C22⋊C411yescharacteristic
256C2×C4×C31C2×C22⋊C412yes—
257C2×C4×C31C2×C22⋊C411yescharacteristic
258C2×C4×C31C23×C411yescharacteristic
259C2×C4×C31C22×D411yescharacteristic
260C8×C31—44no—
261C2×#525C2×C3111yescharacteristic
262C2×#407C2×C3111yescharacteristic, complemented
263C22×#95C2×C3111yescharacteristic, complemented
264#1504C2×C3118yesdirect product factor
265C2×#328C2×C3112yescomplemented
266C2×#327C2×C3112yescomplemented
267C22×C31—28no—
268C22×C31—28no—
269C22×C31—216no—
270C22×C31—21no—
271C22×C31—21no—
272C22×C31—22no—
273C22×C31—22no—
274C22×C31—22no—
275C22×C31—21no—
276C22×C31—22no—
277C22×C31—21no—
278C22×C31—24no—
279C22×C31—28no—
280C22×C31—28no—
281C22×C31—24no—
282C22×C31—42no—
283C22×C31—42no—
284C22×C31—42no—
285C22×C31—84no—
286C22×C31C2×#9914yes—
287C22×C31C2×#9912yes—
288C22×C31#41712yes—
289C22×C31#41712yes—
290C22×C31C2×#10414yes—
291C22×C31C2×#10412yes—
292C22×C31C22×C22⋊C411yescharacteristic
293C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
294C22×C31C2×#13711yescharacteristic
295C4×C31—21no—
296C4×C31—22no—
297C4×C31—21no—
298C4×C31—22no—
299C4×C31—21no—
300C4×C31—21no—
301C4×C31—48no—
302C4×C31—42no—
303C4×C31—42no—
304C4×C31—42no—
305C22×#41C4×C3111yescharacteristic, complemented
306C24×C4—21no—
307C24×C4C22×C3111yescharacteristic
308C22×M16—21no—
309#525—22no—
310#525—22no—
311#525C4×C3114yescomplemented
312#525C22×C3114yes—
313C2×#123—21no—
314C2×C22⋊Q8C4×C3111yescharacteristic, complemented
315C2×C22⋊Q8C22×C3111yescharacteristic
316C2×#121C4×C3111yescharacteristic, complemented
317C2×#121C22×C3111yescharacteristic
318C2×#120—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×#117C4×C3111yescharacteristic, complemented
322#407—22no—
323#407C22×C3114yescomplemented
324C2×C22⋊C8—21no—
325C2×C22⋊C8C22×C3112yes—
326C2×#95—22no—
327C2×#95—21no—
328C2×#95C22×C3112yes—
329C2×#95C22×C3114yescomplemented
330#328C22×C3118yescomplemented
331#327C22×C3118yescomplemented
332C2×C31—21no—
333C2×C31—21no—
334C2×C31—24no—
335C2×C31—22no—
336C2×C31—24no—
337C2×C31—82no—
338C2×C31#150414yesdirect product factor
339C2×C31C22×#9911yescharacteristic
340C2×C31C2×#41711yescharacteristic
341C2×C31C22×#10411yescharacteristic
342C25D4×C3111yescharacteristic
343C2×#41—22no—
344C2×#41—44no—
345C2×#41C2×C4×C3114yescomplemented
346C22×Q8C2×C4×C3111yescharacteristic, complemented
347C22×D4—21no—
348C22×D4—21no—
349C22×D4—21no—
350C22×D4C2×C4×C3111yescharacteristic, complemented
351C23×C4—28no—
352C23×C4—22no—
353C23×C4—24no—
354C23×C4—21no—
355C23×C4—44no—
356C23×C4—44no—
357C23×C4—44no—
358C23×C4C2×C4×C3111yescharacteristic
359C23×C4C2×C4×C3111yescharacteristic
360C23×C4C2×C4×C3112yes—
361C23×C4D4×C3111yescharacteristic
362C23×C4D4×C3111yescharacteristic
363C23×C4D4×C3112yes—
364C23×C4D4×C3111yescharacteristic
365C23×C4D4×C3112yes—
366C23×C4C23×C3111yescharacteristic
367C23×C4C23×C3112yes—
368C2×M16—24no—
369C2×M16—44no—
370C22×C8—22no—
371#123—24no—
372#123—24no—
373C22⋊Q8—22no—
374C22⋊Q8—21no—
375C22⋊Q8—21no—
376C22⋊Q8C2×C4×C3114yescomplemented
377C22⋊Q8C2×C4×C3112yescomplemented
378C22⋊Q8C23×C3112yes—
379#121—22no—
380#121—21no—
381#121—21no—
382#121C2×C4×C3114yescomplemented
383#121C2×C4×C3112yescomplemented
384#121C23×C3112yes—
385#120—24no—
386#120—24no—
387C4×D4—24no—
388C4×D4—24no—
389C4×D4—24no—
390C4×D4—24no—
391#117—22no—
392#117C2×C4×C3114yescomplemented
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4C2×C4×C3111yescharacteristic, complemented
396C2×C4⋊C4C2×C4×C3111yescharacteristic, complemented
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C42—21no—
403C22⋊C8—24no—
404C22⋊C8—22no—
405C22⋊C8C23×C3114yes—
406#95—22no—
407#95—24no—
408#95C23×C3114yes—
409C31C2×#150411yescharacteristic, direct product factor, Sylow
410C24—24no—
411C24—24no—
412C24—22no—
413C24—22no—
414C24—21no—
415C24C22⋊C4×C3112yes—
416C24C22⋊C4×C3111yescharacteristic
417C24C22⋊C4×C3111yescharacteristic
418C24C2×D4×C3112yes—
419C24C2×D4×C3111yescharacteristic
420#41—48no—
421#41—48no—
422C2×Q8—21no—
423C2×Q8—42no—
424C2×Q8C22×C4×C3112yescomplemented
425C2×D4—22no—
426C2×D4—24no—
427C2×D4—24no—
428C2×D4—22no—
429C2×D4—21no—
430C2×D4—42no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4C22×C4×C3112yescomplemented
436C22×C4—24no—
437C22×C4—24no—
438C22×C4—28no—
439C22×C4—216no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—42no—
446C22×C4—44no—
447C22×C4—42no—
448C22×C4—44no—
449C22×C4—42no—
450C22×C4—44no—
451C22×C4—42no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—432no—
455C22×C4—44no—
456C22×C4—48no—
457C22×C4—48no—
458C22×C4—44no—
459C22×C4C22⋊C4×C3111yescharacteristic
460C22×C4C22⋊C4×C3111yescharacteristic
461C22×C4C22⋊C4×C3112yes—
462C22×C4C22⋊C4×C3112yes—
463C22×C4C22⋊C4×C3112yes—
464C22×C4C22⋊C4×C3112yes—
465C22×C4C22⋊C4×C3112yes—
466C22×C4C22×C4×C3111yescharacteristic
467C22×C4C22×C4×C3112yes—
468C22×C4C22×C4×C3111yescharacteristic
469C22×C4C22×C4×C3112yes—
470C22×C4C2×D4×C3111yescharacteristic
471C22×C4C2×D4×C3112yes—
472C22×C4C2×D4×C3112yes—
473C22×C4C2×D4×C3111yescharacteristic
474C22×C4C2×D4×C3112yes—
475C22×C4C2×D4×C3111yescharacteristic
476C22×C4C24×C3111yescharacteristic
477M16—48no—
478C2×C8—24no—
479C2×C8—44no—
480C4⋊C4—24no—
481C4⋊C4—22no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—22no—
485C4⋊C4C22×C4×C3112yescomplemented
486C4⋊C4C22×C4×C3112yescomplemented
487C22⋊C4—24no—
488C22⋊C4—22no—
489C22⋊C4—24no—
490C22⋊C4—22no—
491C22⋊C4—24no—
492C22⋊C4—22no—
493C22⋊C4—22no—
494C42—24no—
495C23—216no—
496C23—216no—
497C23—24no—
498C23—22no—
499C23—24no—
500C23—22no—
501C23—24no—
502C23—22no—
503C23—22no—
504C23—24no—
505C23—22no—
506C23—24no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23—22no—
511C23—42no—
512C23—42no—
513C23—42no—
514C23C31×#9914yes—
515C23C31×#10414yes—
516C23C2×C22⋊C4×C3112yes—
517C23C2×C22⋊C4×C3111yescharacteristic
518C23C2×C22⋊C4×C3112yes—
519C23C2×C22⋊C4×C3111yescharacteristic
520C23C31×AGL(1,ℤ/8)12yes—
521C23C31×#13712yes—
522C23C22×D4×C3111yescharacteristic
523Q8—42no—
524Q8—42no—
525D4—42no—
526D4—42no—
527D4—48no—
528D4—44no—
529D4—48no—
530D4—42no—
531D4—42no—
532C2×C4—22no—
533C2×C4—24no—
534C2×C4—22no—
535C2×C4—24no—
536C2×C4—22no—
537C2×C4—24no—
538C2×C4—22no—
539C2×C4—24no—
540C2×C4—28no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—42no—
545C2×C4—42no—
546C2×C4—42no—
547C2×C4—41no—
548C2×C4—42no—
549C2×C4—42no—
550C2×C4—41no—
551C2×C4—42no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—48no—
555C2×C4—432no—
556C2×C4—44no—
557C2×C4—416no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—44no—
562C2×C4C2×C22⋊C4×C3112yes—
563C2×C4C2×C22⋊C4×C3112yes—
564C2×C4C2×C22⋊C4×C3111yescharacteristic
565C2×C4C2×C22⋊C4×C3111yescharacteristic
566C2×C4C23×C4×C3111yescharacteristic
567C2×C4C22×D4×C3111yescharacteristic
568C8—44no—
569C22—28no—
570C22—216no—
571C22—28no—
572C22—21no—
573C22—21no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—21no—
578C22—22no—
579C22—21no—
580C22—24no—
581C22—28no—
582C22—28no—
583C22—24no—
584C22—42no—
585C22—42no—
586C22—42no—
587C22—84no—
588C22C2×C31×#9914yes—
589C22C2×C31×#9912yes—
590C22C31×#41712yes—
591C22C31×#41712yes—
592C22C2×C31×#10414yes—
593C22C2×C31×#10412yes—
594C22C22×C22⋊C4×C3111yescharacteristic
595C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
596C22C2×C31×#13711yescharacteristic
597C4—21no—
598C4—22no—
599C4—21no—
600C4—21no—
601C4—22no—
602C4—21no—
603C4—48no—
604C4—42no—
605C4—42no—
606C4—42no—
607C2—21no—
608C2—24no—
609C2—22no—
610C2—24no—
611C2—21no—
612C2—82no—
613C2C31×#150414yesdirect product factor
614C2C22×C31×#9911yescharacteristic
615C2C2×C31×#41711yescharacteristic
616C2C22×C31×#10411yescharacteristic
subgroupG/H
center, socleC23×C31C2×C22⋊C4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#525C2
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C31 ◁ C24×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#407C2semidirect
3. C22×C31×#95C2semidirect
4. C31×#1504C2direct (N × H)
5. C2×C31×#328C2semidirect
6. C2×C31×#327C2semidirect
7. C22×#41×C31C4semidirect
13. C31×#525C4semidirect
16. C2×C31×C22⋊Q8C4semidirect
18. C2×C31×#121C4semidirect
23. C2×C31×#117C4semidirect
25. C31×#407C22semidirect
31. C2×C31×#95C22semidirect
32. C31×#328C22semidirect
33. C31×#327C22semidirect
37. C2×#41×C31C2×C4semidirect
38. C22×Q8×C31C2×C4semidirect
42. C22×D4×C31C2×C4semidirect
68. C31×C22⋊Q8C2×C4semidirect
69. C31×C22⋊Q8C2×C4semidirect
74. C31×#121C2×C4semidirect
75. C31×#121C2×C4semidirect
84. C31×#117C2×C4semidirect
87. C2×C4⋊C4×C31C2×C4semidirect
88. C2×C4⋊C4×C31C2×C4semidirect
115. C2×Q8×C31C22×C4semidirect
126. C2×D4×C31C22×C4semidirect
176. C4⋊C4×C31C22×C4semidirect
177. C4⋊C4×C31C22×C4semidirect
186. C2×#1504C31direct (N × H)
262. C2×#407C2×C31semidirect
263. C22×#95C2×C31semidirect
264. #1504C2×C31direct (N × H)
265. C2×#328C2×C31semidirect
266. C2×#327C2×C31semidirect
305. C22×#41C4×C31semidirect
311. #525C4×C31semidirect
314. C2×C22⋊Q8C4×C31semidirect
316. C2×#121C4×C31semidirect
321. C2×#117C4×C31semidirect
323. #407C22×C31semidirect
329. C2×#95C22×C31semidirect
330. #328C22×C31semidirect
331. #327C22×C31semidirect
338. C2×C31#1504direct (N × H)
345. C2×#41C2×C4×C31semidirect
346. C22×Q8C2×C4×C31semidirect
350. C22×D4C2×C4×C31semidirect
376. C22⋊Q8C2×C4×C31semidirect
377. C22⋊Q8C2×C4×C31semidirect
382. #121C2×C4×C31semidirect
383. #121C2×C4×C31semidirect
392. #117C2×C4×C31semidirect
395. C2×C4⋊C4C2×C4×C31semidirect
396. C2×C4⋊C4C2×C4×C31semidirect
409. C31C2×#1504direct (N × H)
424. C2×Q8C22×C4×C31semidirect
435. C2×D4C22×C4×C31semidirect
485. C4⋊C4C22×C4×C31semidirect
486. C4⋊C4C22×C4×C31semidirect
613. C2C31×#1504direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5252
C2×C31×#4072
C22×C31×#952
C31×#15042
C2×C31×#3282
C2×C31×#3272
C2×#150431