Finite Group Databasebeta

← C31×#22476 #21479235

Subgroups — C31×#22476 #21479235

Order 7936.

1696 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#546C211yesmaximal, characteristic
2D4×C22⋊C4×C31C212yesmaximal, complemented
3C31×#1996C212yesmaximal, complemented
4C31×#1898C214yesmaximal, complemented
5C31×#1819C212yesmaximal, complemented
6C31×#1799C211yesmaximal, characteristic, complemented
7C4×C31×#99C211yesmaximal, characteristic, complemented
8C2×C31×#342C212yesmaximal, complemented
9C22×#41×C31C411yescharacteristic, complemented
10C23×D4×C31C2211yescharacteristic
11C31×#546—22no—
12C31×#546—24no—
13C31×#546—22no—
14C2×C31×#124C411yescharacteristic, complemented
15C2×C31×#123C412yescomplemented
16C2×C31×C22⋊Q8C2211yescharacteristic
17C2×C31×#121C411yescharacteristic, complemented
18C2×C31×#121C412yescomplemented
19C2×C31×#120C2212yes—
20C2×C4×D4×C31—22no—
21C2×C4×D4×C31C411yescharacteristic, complemented
22C2×C4×D4×C31C2211yescharacteristic
23C22×C22⋊C4×C31C2212yes—
24C22×C22⋊C4×C31C2214yes—
25C2×C31×#99C2212yes—
26C2×C31×#99C2212yes—
27C31×#390—22no—
28C31×#386—24no—
29C31×#380C2212yes—
30C31×#379C2214yes—
31C4×C22⋊C4×C31C2212yes—
32C31×#342C2212yes—
33C31×#342C2211yescharacteristic
34C31×#342C2214yes—
35C31×#342C2214yes—
36C31×#342C2211yescharacteristic
37C25×C31C2312yes—
38C2×#41×C31—21no—
39C2×#41×C31—22no—
40C2×#41×C31—21no—
41C2×#41×C31—44no—
42C22×Q8×C31C2×C411yescharacteristic, complemented
43C22×D4×C31—44no—
44C22×D4×C31C2×C411yescharacteristic
45C22×D4×C31C2×C412yes—
46C22×D4×C31C2×C411yescharacteristic
47C22×D4×C31C2×C412yescomplemented
48C22×D4×C31C2×C412yescomplemented
49C22×D4×C31D412yes—
50C22×D4×C31D414yes—
51C22×D4×C31D412yes—
52C22×D4×C31C2311yescharacteristic
53C23×C4×C31—24no—
54C23×C4×C31C2×C412yescomplemented
55C23×C4×C31C2×C411yescharacteristic, complemented
56C23×C4×C31C2×C412yescomplemented
57C23×C4×C31C2311yescharacteristic
58C31×#124—22no—
59C31×#124—22no—
60C31×#123—24no—
61C31×#123—24no—
62C31×C22⋊Q8—22no—
63C31×C22⋊Q8—22no—
64C31×#121—22no—
65C31×#121—22no—
66C31×#121—24no—
67C31×#121—24no—
68C31×#120—24no—
69C31×#120—24no—
70C4×D4×C31—22no—
71C4×D4×C31—21no—
72C4×D4×C31—21no—
73C4×D4×C31—22no—
74C4×D4×C31—22no—
75C4×D4×C31—48no—
76C2×C4⋊C4×C31—22no—
77C2×C4⋊C4×C31C2×C411yescharacteristic, complemented
78C2×C4⋊C4×C31C2×C411yescharacteristic, complemented
79C2×C4⋊C4×C31C2×C412yescomplemented
80C2×C22⋊C4×C31—24no—
81C2×C22⋊C4×C31—24no—
82C2×C22⋊C4×C31—28no—
83C2×C22⋊C4×C31—24no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—24no—
86C2×C22⋊C4×C31—44no—
87C2×C22⋊C4×C31C2×C412yescomplemented
88C2×C22⋊C4×C31C2×C412yescomplemented
89C2×C22⋊C4×C31C2×C412yescomplemented
90C2×C22⋊C4×C31C2×C411yescharacteristic, complemented
91C2×C22⋊C4×C31C2×C412yescomplemented
92C2×C22⋊C4×C31C2314yes—
93C2×C22⋊C4×C31C2312yes—
94C2×C22⋊C4×C31C2311yescharacteristic
95C2×C22⋊C4×C31C2312yes—
96C2×C22⋊C4×C31C2312yes—
97C2×C42×C31—22no—
98C2×C42×C31C2×C411yescharacteristic, complemented
99C31×#99—24no—
100C31×#99—42no—
101C31×#95—22no—
102C31×#95—22no—
103C24×C31—24no—
104C24×C31—22no—
105C24×C31—22no—
106C24×C31—44no—
107C24×C31—82no—
108C24×C31C22×C412yes—
109C24×C31C22×C411yescharacteristic
110C24×C31C22×C412yes—
111C24×C31C2×D414yes—
112C24×C31C2×D414yes—
113C24×C31C2411yescharacteristic
114#41×C31—48no—
115#41×C31—44no—
116#41×C31—44no—
117C2×Q8×C31—21no—
118C2×Q8×C31—21no—
119C2×Q8×C31—42no—
120C2×D4×C31—28no—
121C2×D4×C31—24no—
122C2×D4×C31—22no—
123C2×D4×C31—22no—
124C2×D4×C31—22no—
125C2×D4×C31—22no—
126C2×D4×C31—21no—
127C2×D4×C31—21no—
128C2×D4×C31—24no—
129C2×D4×C31—42no—
130C2×D4×C31—44no—
131C2×D4×C31—44no—
132C2×D4×C31—48no—
133C2×D4×C31—44no—
134C2×D4×C31—82no—
135C2×D4×C31C22⋊C412yes—
136C2×D4×C31C22⋊C411yescharacteristic
137C2×D4×C31C22⋊C414yes—
138C2×D4×C31C22⋊C412yes—
139C2×D4×C31C22⋊C414yes—
140C2×D4×C31C22⋊C412yes—
141C2×D4×C31C22⋊C411yescharacteristic
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—22no—
150C22×C4×C31—24no—
151C22×C4×C31—42no—
152C22×C4×C31—42no—
153C22×C4×C31—48no—
154C22×C4×C31—44no—
155C22×C4×C31—48no—
156C22×C4×C31—84no—
157C22×C4×C31—82no—
158C22×C4×C31C22×C411yescharacteristic
159C22×C4×C31C22×C411yescharacteristic
160C22×C4×C31C22×C411yescharacteristic
161C22×C4×C31C22×C412yes—
162C22×C4×C31C22×C411yescharacteristic
163C22×C4×C31C22×C412yes—
164C22×C4×C31C22×C411yescharacteristic
165C22×C4×C31C2×D412yes—
166C22×C4×C31C2×D412yes—
167C4⋊C4×C31—21no—
168C4⋊C4×C31—21no—
169C4⋊C4×C31—22no—
170C4⋊C4×C31—24no—
171C4⋊C4×C31—44no—
172C22⋊C4×C31—24no—
173C22⋊C4×C31—24no—
174C22⋊C4×C31—22no—
175C22⋊C4×C31—22no—
176C22⋊C4×C31—24no—
177C22⋊C4×C31—22no—
178C22⋊C4×C31—24no—
179C22⋊C4×C31—22no—
180C22⋊C4×C31—22no—
181C22⋊C4×C31—22no—
182C22⋊C4×C31—24no—
183C22⋊C4×C31—24no—
184C22⋊C4×C31—22no—
185C22⋊C4×C31—48no—
186C22⋊C4×C31—48no—
187C22⋊C4×C31—84no—
188C22⋊C4×C31#4114yescomplemented
189C42×C31—21no—
190C42×C31—21no—
191C42×C31—44no—
192#22476C3111yesmaximal, characteristic, direct product factor, Sylow
193C23×C31—22no—
194C23×C31—22no—
195C23×C31—24no—
196C23×C31—24no—
197C23×C31—28no—
198C23×C31—24no—
199C23×C31—22no—
200C23×C31—22no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—21no—
204C23×C31—21no—
205C23×C31—21no—
206C23×C31—41no—
207C23×C31—42no—
208C23×C31—44no—
209C23×C31—41no—
210C23×C31—44no—
211C23×C31—42no—
212C23×C31—44no—
213C23×C31—42no—
214C23×C31—41no—
215C23×C31—41no—
216C23×C31—88no—
217C23×C31—84no—
218C23×C31—84no—
219C23×C31C2×C22⋊C414yes—
220C23×C31C2×C22⋊C412yes—
221C23×C31C2×C22⋊C412yes—
222C23×C31C23×C411yescharacteristic
223C23×C31C22×D412yes—
224C23×C31C2×#4112yes—
225C23×C31H(5,𝔽2)11yescharacteristic
226C23×C312−1+411yescharacteristic
227Q8×C31—42no—
228Q8×C31—42no—
229D4×C31—28no—
230D4×C31—24no—
231D4×C31—24no—
232D4×C31—22no—
233D4×C31—42no—
234D4×C31—44no—
235D4×C31—44no—
236D4×C31—42no—
237D4×C31—42no—
238D4×C31—44no—
239D4×C31—84no—
240D4×C31#9914yescomplemented
241C2×C4×C31—24no—
242C2×C4×C31—22no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—22no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—24no—
251C2×C4×C31—41no—
252C2×C4×C31—42no—
253C2×C4×C31—42no—
254C2×C4×C31—42no—
255C2×C4×C31—44no—
256C2×C4×C31—42no—
257C2×C4×C31—44no—
258C2×C4×C31—42no—
259C2×C4×C31—41no—
260C2×C4×C31—42no—
261C2×C4×C31—41no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—44no—
265C2×C4×C31—42no—
266C2×C4×C31—44no—
267C2×C4×C31—44no—
268C2×C4×C31—42no—
269C2×C4×C31—82no—
270C2×C4×C31—82no—
271C2×C4×C31—816no—
272C2×C4×C31C2×C22⋊C411yescharacteristic
273C2×C4×C31C2×C22⋊C412yes—
274C2×C4×C31C2×C22⋊C411yescharacteristic
275C2×#546C2×C3111yescharacteristic
276D4×C22⋊C4C2×C3112yescomplemented
277#1996C2×C3112yescomplemented
278#1898C2×C3114yescomplemented
279#1819C2×C3112yescomplemented
280#1799C2×C3111yescharacteristic, complemented
281C4×#99C2×C3111yescharacteristic, complemented
282C2×#342C2×C3112yescomplemented
283C22×C31—22no—
284C22×C31—22no—
285C22×C31—21no—
286C22×C31—22no—
287C22×C31—21no—
288C22×C31—22no—
289C22×C31—22no—
290C22×C31—24no—
291C22×C31—22no—
292C22×C31—24no—
293C22×C31—22no—
294C22×C31—24no—
295C22×C31—42no—
296C22×C31—41no—
297C22×C31—41no—
298C22×C31—48no—
299C22×C31—48no—
300C22×C31—44no—
301C22×C31—44no—
302C22×C31—41no—
303C22×C31—41no—
304C22×C31—41no—
305C22×C31—84no—
306C22×C31—84no—
307C22×C31—82no—
308C22×C31—82no—
309C22×C31—81no—
310C22×C31—81no—
311C22×C31C2×#9914yes—
312C22×C31C22×C22⋊C411yescharacteristic
313C22×C31C4×#4111yescharacteristic
314C22×C31#52011yescharacteristic
315C22×C31#54612yes—
316C22×C31#54712yes—
317C4×C31—21no—
318C4×C31—22no—
319C4×C31—44no—
320C4×C31—41no—
321C4×C31—41no—
322C4×C31—42no—
323C4×C31—41no—
324C4×C31—42no—
325C4×C31—82no—
326C4×C31—84no—
327C4×C31C2×#9912yes—
328C22×#41C4×C3111yescharacteristic, complemented
329C23×D4C22×C3111yescharacteristic
330#546—22no—
331#546—24no—
332#546—22no—
333C2×#124C4×C3111yescharacteristic, complemented
334C2×#123C4×C3112yescomplemented
335C2×C22⋊Q8C22×C3111yescharacteristic
336C2×#121C4×C3111yescharacteristic, complemented
337C2×#121C4×C3112yescomplemented
338C2×#120C22×C3112yes—
339C2×C4×D4—22no—
340C2×C4×D4C4×C3111yescharacteristic, complemented
341C2×C4×D4C22×C3111yescharacteristic
342C22×C22⋊C4C22×C3112yes—
343C22×C22⋊C4C22×C3114yes—
344C2×#99C22×C3112yes—
345C2×#99C22×C3112yes—
346#390—22no—
347#386—24no—
348#380C22×C3112yes—
349#379C22×C3114yes—
350C4×C22⋊C4C22×C3112yes—
351#342C22×C3112yes—
352#342C22×C3111yescharacteristic
353#342C22×C3114yes—
354#342C22×C3114yes—
355#342C22×C3111yescharacteristic
356C2×C31—22no—
357C2×C31—22no—
358C2×C31—21no—
359C2×C31—21no—
360C2×C31—24no—
361C2×C31—42no—
362C2×C31—44no—
363C2×C31—81no—
364C2×C31#233911yescharacteristic
365C2×C31C22×#9911yescharacteristic
366C2×C31#288311yescharacteristic
367C25C23×C3112yes—
368C2×#41—21no—
369C2×#41—22no—
370C2×#41—21no—
371C2×#41—44no—
372C22×Q8C2×C4×C3111yescharacteristic, complemented
373C22×D4—44no—
374C22×D4C2×C4×C3111yescharacteristic
375C22×D4C2×C4×C3112yes—
376C22×D4C2×C4×C3111yescharacteristic
377C22×D4C2×C4×C3112yescomplemented
378C22×D4C2×C4×C3112yescomplemented
379C22×D4D4×C3112yes—
380C22×D4D4×C3114yes—
381C22×D4D4×C3112yes—
382C22×D4C23×C3111yescharacteristic
383C23×C4—24no—
384C23×C4C2×C4×C3112yescomplemented
385C23×C4C2×C4×C3111yescharacteristic, complemented
386C23×C4C2×C4×C3112yescomplemented
387C23×C4C23×C3111yescharacteristic
388#124—22no—
389#124—22no—
390#123—24no—
391#123—24no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394#121—22no—
395#121—22no—
396#121—24no—
397#121—24no—
398#120—24no—
399#120—24no—
400C4×D4—22no—
401C4×D4—21no—
402C4×D4—21no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—48no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4C2×C4×C3111yescharacteristic, complemented
408C2×C4⋊C4C2×C4×C3111yescharacteristic, complemented
409C2×C4⋊C4C2×C4×C3112yescomplemented
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—28no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—44no—
417C2×C22⋊C4C2×C4×C3112yescomplemented
418C2×C22⋊C4C2×C4×C3112yescomplemented
419C2×C22⋊C4C2×C4×C3112yescomplemented
420C2×C22⋊C4C2×C4×C3111yescharacteristic, complemented
421C2×C22⋊C4C2×C4×C3112yescomplemented
422C2×C22⋊C4C23×C3114yes—
423C2×C22⋊C4C23×C3112yes—
424C2×C22⋊C4C23×C3111yescharacteristic
425C2×C22⋊C4C23×C3112yes—
426C2×C22⋊C4C23×C3112yes—
427C2×C42—22no—
428C2×C42C2×C4×C3111yescharacteristic, complemented
429#99—24no—
430#99—42no—
431#95—22no—
432#95—22no—
433C31#2247611yescharacteristic, direct product factor, Sylow
434C24—24no—
435C24—22no—
436C24—22no—
437C24—44no—
438C24—82no—
439C24C22×C4×C3112yes—
440C24C22×C4×C3111yescharacteristic
441C24C22×C4×C3112yes—
442C24C2×D4×C3114yes—
443C24C2×D4×C3114yes—
444C24C24×C3111yescharacteristic
445#41—48no—
446#41—44no—
447#41—44no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—42no—
451C2×D4—28no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—24no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—48no—
464C2×D4—44no—
465C2×D4—82no—
466C2×D4C22⋊C4×C3112yes—
467C2×D4C22⋊C4×C3111yescharacteristic
468C2×D4C22⋊C4×C3114yes—
469C2×D4C22⋊C4×C3112yes—
470C2×D4C22⋊C4×C3114yes—
471C2×D4C22⋊C4×C3112yes—
472C2×D4C22⋊C4×C3111yescharacteristic
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—48no—
485C22×C4—44no—
486C22×C4—48no—
487C22×C4—84no—
488C22×C4—82no—
489C22×C4C22×C4×C3111yescharacteristic
490C22×C4C22×C4×C3111yescharacteristic
491C22×C4C22×C4×C3111yescharacteristic
492C22×C4C22×C4×C3112yes—
493C22×C4C22×C4×C3111yescharacteristic
494C22×C4C22×C4×C3112yes—
495C22×C4C22×C4×C3111yescharacteristic
496C22×C4C2×D4×C3112yes—
497C22×C4C2×D4×C3112yes—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—22no—
501C4⋊C4—24no—
502C4⋊C4—44no—
503C22⋊C4—24no—
504C22⋊C4—24no—
505C22⋊C4—22no—
506C22⋊C4—22no—
507C22⋊C4—24no—
508C22⋊C4—22no—
509C22⋊C4—24no—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—22no—
513C22⋊C4—24no—
514C22⋊C4—24no—
515C22⋊C4—22no—
516C22⋊C4—48no—
517C22⋊C4—48no—
518C22⋊C4—84no—
519C22⋊C4#41×C3114yescomplemented
520C42—21no—
521C42—21no—
522C42—44no—
523C23—28no—
524C23—24no—
525C23—22no—
526C23—22no—
527C23—24no—
528C23—24no—
529C23—22no—
530C23—22no—
531C23—24no—
532C23—24no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—41no—
537C23—42no—
538C23—44no—
539C23—41no—
540C23—44no—
541C23—42no—
542C23—44no—
543C23—42no—
544C23—41no—
545C23—41no—
546C23—88no—
547C23—84no—
548C23—84no—
549C23C2×C22⋊C4×C3114yes—
550C23C2×C22⋊C4×C3112yes—
551C23C2×C22⋊C4×C3112yes—
552C23C23×C4×C3111yescharacteristic
553C23C22×D4×C3112yes—
554C23C2×#41×C3112yes—
555C23C31×H(5,𝔽2)11yescharacteristic
556C23C31×2−1+411yescharacteristic
557Q8—42no—
558Q8—42no—
559D4—28no—
560D4—24no—
561D4—24no—
562D4—22no—
563D4—42no—
564D4—44no—
565D4—44no—
566D4—44no—
567D4—42no—
568D4—42no—
569D4—84no—
570D4C31×#9914yescomplemented
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—24no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—44no—
586C2×C4—42no—
587C2×C4—44no—
588C2×C4—42no—
589C2×C4—41no—
590C2×C4—42no—
591C2×C4—41no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—44no—
595C2×C4—42no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—42no—
599C2×C4—82no—
600C2×C4—82no—
601C2×C4—816no—
602C2×C4C2×C22⋊C4×C3111yescharacteristic
603C2×C4C2×C22⋊C4×C3112yes—
604C2×C4C2×C22⋊C4×C3111yescharacteristic
605C22—22no—
606C22—22no—
607C22—21no—
608C22—22no—
609C22—21no—
610C22—22no—
611C22—22no—
612C22—24no—
613C22—22no—
614C22—24no—
615C22—22no—
616C22—24no—
617C22—42no—
618C22—41no—
619C22—41no—
620C22—48no—
621C22—48no—
622C22—44no—
623C22—44no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—84no—
628C22—84no—
629C22—82no—
630C22—82no—
631C22—81no—
632C22—81no—
633C22C2×C31×#9914yes—
634C22C22×C22⋊C4×C3111yescharacteristic
635C22C4×#41×C3111yescharacteristic
636C22C31×#52011yescharacteristic
637C22C31×#54612yes—
638C22C31×#54712yes—
639C4—21no—
640C4—22no—
641C4—44no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—41no—
646C4—42no—
647C4—84no—
648C4—82no—
649C4C2×C31×#9912yes—
650C2—22no—
651C2—22no—
652C2—21no—
653C2—21no—
654C2—24no—
655C2—42no—
656C2—44no—
657C2—81no—
658C2C31×#233911yescharacteristic
659C2C22×C31×#9911yescharacteristic
660C2C31×#288311yescharacteristic
subgroupG/H
center, socleC22×C31C22×C22⋊C4
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC2×C31×#546C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. D4×C22⋊C4×C31C2semidirect
3. C31×#1996C2semidirect
4. C31×#1898C2semidirect
5. C31×#1819C2semidirect
6. C31×#1799C2semidirect
7. C4×C31×#99C2semidirect
8. C2×C31×#342C2semidirect
9. C22×#41×C31C4semidirect
14. C2×C31×#124C4semidirect
15. C2×C31×#123C4semidirect
17. C2×C31×#121C4semidirect
18. C2×C31×#121C4semidirect
21. C2×C4×D4×C31C4semidirect
42. C22×Q8×C31C2×C4semidirect
47. C22×D4×C31C2×C4semidirect
48. C22×D4×C31C2×C4semidirect
54. C23×C4×C31C2×C4semidirect
55. C23×C4×C31C2×C4semidirect
56. C23×C4×C31C2×C4semidirect
77. C2×C4⋊C4×C31C2×C4semidirect
78. C2×C4⋊C4×C31C2×C4semidirect
79. C2×C4⋊C4×C31C2×C4semidirect
87. C2×C22⋊C4×C31C2×C4semidirect
88. C2×C22⋊C4×C31C2×C4semidirect
89. C2×C22⋊C4×C31C2×C4semidirect
90. C2×C22⋊C4×C31C2×C4semidirect
91. C2×C22⋊C4×C31C2×C4semidirect
98. C2×C42×C31C2×C4semidirect
188. C22⋊C4×C31#41semidirect
192. #22476C31direct (N × H)
240. D4×C31#99semidirect
276. D4×C22⋊C4C2×C31semidirect
277. #1996C2×C31semidirect
278. #1898C2×C31semidirect
279. #1819C2×C31semidirect
280. #1799C2×C31semidirect
281. C4×#99C2×C31semidirect
282. C2×#342C2×C31semidirect
328. C22×#41C4×C31semidirect
333. C2×#124C4×C31semidirect
334. C2×#123C4×C31semidirect
336. C2×#121C4×C31semidirect
337. C2×#121C4×C31semidirect
340. C2×C4×D4C4×C31semidirect
372. C22×Q8C2×C4×C31semidirect
377. C22×D4C2×C4×C31semidirect
378. C22×D4C2×C4×C31semidirect
384. C23×C4C2×C4×C31semidirect
385. C23×C4C2×C4×C31semidirect
386. C23×C4C2×C4×C31semidirect
407. C2×C4⋊C4C2×C4×C31semidirect
408. C2×C4⋊C4C2×C4×C31semidirect
409. C2×C4⋊C4C2×C4×C31semidirect
417. C2×C22⋊C4C2×C4×C31semidirect
418. C2×C22⋊C4C2×C4×C31semidirect
419. C2×C22⋊C4C2×C4×C31semidirect
420. C2×C22⋊C4C2×C4×C31semidirect
421. C2×C22⋊C4C2×C4×C31semidirect
428. C2×C42C2×C4×C31semidirect
433. C31#22476direct (N × H)
519. C22⋊C4#41×C31semidirect
570. D4C31×#99semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#5462
D4×C22⋊C4×C312
C31×#19962
C31×#18982
C31×#18192
C31×#17992
C4×C31×#992
C2×C31×#3422
#2247631