Finite Group Databasebeta

← C31×#15951 #21472710

Subgroups — C31×#15951 #21472710

Order 7936.

2462 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×C22⋊Q8C212yesmaximal, complemented
2C2×C31×#386C212yesmaximal
3C2×C31×#385C212yesmaximal, complemented
4C31×#1446C211yesmaximal, characteristic, complemented
5C31×#1444C211yesmaximal, characteristic, complemented
6C31×#1441C212yesmaximal, complemented
7C31×#1439C212yesmaximal, complemented
8C31×#1439C212yesmaximal, complemented
9C31×#1438C211yesmaximal, characteristic
10C23×Q8×C31C2211yescharacteristic
11C23×D4×C31C2211yescharacteristic
12C24×C4×C31C2212yes—
13C2×C31×C22⋊Q8—28no—
14C2×C31×C22⋊Q8—28no—
15C2×C31×C22⋊Q8—28no—
16C22×C4⋊C4×C31C2212yes—
17C22×C4⋊C4×C31C2212yes—
18C22×C4⋊C4×C31C2211yescharacteristic
19C22×C4⋊C4×C31C2212yes—
20C22×C22⋊C4×C31C2212yes—
21C22×C22⋊C4×C31C2212yes—
22C22×C22⋊C4×C31C2212yes—
23C22×C22⋊C4×C31C2212yes—
24C22×C22⋊C4×C31C2212yes—
25C31×#386—28no—
26C31×#385—28no—
27C2×C31×#95C2211yescharacteristic
28C2×C31×#95C2212yes—
29C2×C31×#95C2212yes—
30C2×C31×#95C2212yes—
31C2×C31×#95C2212yes—
32C2×C31×#95C2211yescharacteristic
33C2×C31×#95C2211yescharacteristic
34C2×C31×#95C2212yes—
35C2×C31×#95C2211yescharacteristic
36C25×C31C2312yes—
37C22×Q8×C31—24no—
38C22×Q8×C31—24no—
39C22×Q8×C31—41no—
40C22×Q8×C31—41no—
41C22×Q8×C31D414yescomplemented
42C22×D4×C31—24no—
43C22×D4×C31—24no—
44C22×D4×C31—41no—
45C22×D4×C31—41no—
46C22×D4×C31Q814yescomplemented
47C23×C4×C31—24no—
48C23×C4×C31—24no—
49C23×C4×C31—24no—
50C23×C4×C31—24no—
51C23×C4×C31—24no—
52C23×C4×C31—42no—
53C23×C4×C31—42no—
54C23×C4×C31C2312yes—
55C23×C4×C31C2311yescharacteristic
56C23×C4×C31C2312yes—
57C23×C4×C31C2312yes—
58C23×C4×C31C2312yes—
59C23×C4×C31C2311yescharacteristic
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2312yes—
62C31×C22⋊Q8—264no—
63C2×C4⋊C4×C31—24no—
64C2×C4⋊C4×C31—24no—
65C2×C4⋊C4×C31—24no—
66C2×C4⋊C4×C31—24no—
67C2×C4⋊C4×C31—24no—
68C2×C4⋊C4×C31—24no—
69C2×C4⋊C4×C31—24no—
70C2×C4⋊C4×C31—24no—
71C2×C4⋊C4×C31—24no—
72C2×C4⋊C4×C31—41no—
73C2×C4⋊C4×C31D418yescomplemented
74C2×C22⋊C4×C31—24no—
75C2×C22⋊C4×C31—24no—
76C2×C22⋊C4×C31—24no—
77C2×C22⋊C4×C31—24no—
78C2×C22⋊C4×C31—24no—
79C2×C22⋊C4×C31—24no—
80C2×C22⋊C4×C31—24no—
81C2×C22⋊C4×C31—24no—
82C2×C22⋊C4×C31—24no—
83C2×C22⋊C4×C31—24no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—24no—
86C2×C22⋊C4×C31—42no—
87C2×C22⋊C4×C31—42no—
88C2×C22⋊C4×C31D418yes—
89C31×#95—24no—
90C31×#95—24no—
91C31×#95—24no—
92C31×#95—24no—
93C31×#95—22no—
94C31×#95—41no—
95C31×#95—42no—
96C31×#95—41no—
97C31×#95—41no—
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—22no—
107C24×C31—22no—
108C24×C31—22no—
109C24×C31—22no—
110C24×C31C2×D414yes—
111C24×C31C2×Q814yes—
112C24×C31#4114yes—
113C24×C31C2411yescharacteristic
114C2×Q8×C31—216no—
115C2×Q8×C31—44no—
116C2×Q8×C31—44no—
117C2×Q8×C31—48no—
118C2×Q8×C31—44no—
119C2×D4×C31—216no—
120C2×D4×C31—44no—
121C2×D4×C31—44no—
122C2×D4×C31—48no—
123C2×D4×C31—44no—
124C22×C4×C31—22no—
125C22×C4×C31—22no—
126C22×C4×C31—22no—
127C22×C4×C31—22no—
128C22×C4×C31—216no—
129C22×C4×C31—22no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—22no—
134C22×C4×C31—22no—
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—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—22no—
157C22×C4×C31—21no—
158C22×C4×C31—22no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—22no—
163C22×C4×C31—22no—
164C22×C4×C31—22no—
165C22×C4×C31—22no—
166C22×C4×C31—48no—
167C22×C4×C31—48no—
168C22×C4×C31—48no—
169C22×C4×C31—48no—
170C22×C4×C31—48no—
171C22×C4×C31—48no—
172C22×C4×C31C2×D414yes—
173C22×C4×C31C2×D414yes—
174C22×C4×C31C2×D412yes—
175C22×C4×C31C2×D414yes—
176C22×C4×C31C2×D414yes—
177C22×C4×C31C2×D414yes—
178C22×C4×C31C2×D414yes—
179C22×C4×C31C2×Q812yes—
180C22×C4×C31#4112yes—
181C4⋊C4×C31—216no—
182C4⋊C4×C31—216no—
183C4⋊C4×C31—216no—
184C4⋊C4×C31—44no—
185C22⋊C4×C31—216no—
186C22⋊C4×C31—216no—
187C22⋊C4×C31—216no—
188C22⋊C4×C31—48no—
189C22⋊C4×C31—48no—
190#15951C3111yesmaximal, characteristic, direct product factor, Sylow
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—24no—
207C23×C31—24no—
208C23×C31—24no—
209C23×C31—42no—
210C23×C31—42no—
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×C31C22⋊Q818yescomplemented
226C23×C31C22×D411yescharacteristic
227C23×C31C22×D412yes—
228C23×C31C22×D412yes—
229C23×C31C22×Q811yescharacteristic
230C23×C31C2×#4112yes—
231C23×C31C2×#4111yescharacteristic
232C23×C31H(5,𝔽2)11yescharacteristic
233C23×C31H(5,𝔽2)11yescharacteristic
234C23×C31H(5,𝔽2)11yescharacteristic
235C23×C312−1+411yescharacteristic
236C23×C312−1+412yes—
237Q8×C31—416no—
238D4×C31—416no—
239C2×C4×C31—24no—
240C2×C4×C31—24no—
241C2×C4×C31—24no—
242C2×C4×C31—24no—
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—22no—
253C2×C4×C31—24no—
254C2×C4×C31—22no—
255C2×C4×C31—22no—
256C2×C4×C31—24no—
257C2×C4×C31—24no—
258C2×C4×C31—24no—
259C2×C4×C31—24no—
260C2×C4×C31—432no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—42no—
265C2×C4×C31—41no—
266C2×C4×C31—42no—
267C2×C4×C31—42no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—42no—
271C2×C4×C31—41no—
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—41no—
281C2×C4×C31—41no—
282C2×C4×C31—42no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31#12018yes—
290C22×C22⋊Q8C2×C3112yescomplemented
291C2×#386C2×C3112yes—
292C2×#385C2×C3112yescomplemented
293#1446C2×C3111yescharacteristic, complemented
294#1444C2×C3111yescharacteristic, complemented
295#1441C2×C3112yescomplemented
296#1439C2×C3112yescomplemented
297#1439C2×C3112yescomplemented
298#1438C2×C3111yescharacteristic
299C22×C31—28no—
300C22×C31—28no—
301C22×C31—28no—
302C22×C31—44no—
303C22×C31—44no—
304C22×C31—44no—
305C22×C31—44no—
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×C31C2×#12012yes—
315C22×C31C2×C22⋊Q812yes—
316C22×C31#52512yes—
317C22×C31#53411yescharacteristic
318C22×C31#53612yes—
319C22×C31#53712yes—
320C22×C31#53911yescharacteristic
321C22×C31#53912yes—
322C22×C31#54311yescharacteristic
323C22×C31D4211yescharacteristic
324C22×C31D4212yes—
325C22×C31D4211yescharacteristic
326C22×C31#54612yes—
327C22×C31#54712yes—
328C22×C31#54812yes—
329C22×C31#54812yes—
330C22×C31D4×Q811yescharacteristic
331C22×C31D4×Q812yes—
332C22×C31#55011yescharacteristic
333C22×C31#55111yescharacteristic
334C22×C31#55411yescharacteristic
335C22×C31#56211yescharacteristic
336C22×C31#56311yescharacteristic
337C4×C31—28no—
338C4×C31—44no—
339C4×C31—42no—
340C4×C31—44no—
341C4×C31—44no—
342C4×C31—42no—
343C4×C31—42no—
344C4×C31—82no—
345C23×Q8C22×C3111yescharacteristic
346C23×D4C22×C3111yescharacteristic
347C24×C4C22×C3112yes—
348C2×C22⋊Q8—28no—
349C2×C22⋊Q8—28no—
350C2×C22⋊Q8—28no—
351C22×C4⋊C4C22×C3112yes—
352C22×C4⋊C4C22×C3112yes—
353C22×C4⋊C4C22×C3111yescharacteristic
354C22×C4⋊C4C22×C3112yes—
355C22×C22⋊C4C22×C3112yes—
356C22×C22⋊C4C22×C3112yes—
357C22×C22⋊C4C22×C3112yes—
358C22×C22⋊C4C22×C3112yes—
359C22×C22⋊C4C22×C3112yes—
360#386—28no—
361#385—28no—
362C2×#95C22×C3111yescharacteristic
363C2×#95C22×C3112yes—
364C2×#95C22×C3112yes—
365C2×#95C22×C3112yes—
366C2×#95C22×C3112yes—
367C2×#95C22×C3111yescharacteristic
368C2×#95C22×C3111yescharacteristic
369C2×#95C22×C3112yes—
370C2×#95C22×C3111yescharacteristic
371C2×C31—48no—
372C2×C31#240311yescharacteristic
373C2×C31#240712yes—
374C2×C31#240912yes—
375C2×C31#243711yescharacteristic
376C2×C31#244912yes—
377C2×C31#246311yescharacteristic
378C2×C31#268011yescharacteristic
379C2×C31#268112yes—
380C2×C31#268311yescharacteristic
381C2×C31#272811yescharacteristic
382C2×C31#273211yescharacteristic
383C25C23×C3112yes—
384C22×Q8—24no—
385C22×Q8—24no—
386C22×Q8—41no—
387C22×Q8—41no—
388C22×Q8D4×C3114yescomplemented
389C22×D4—24no—
390C22×D4—24no—
391C22×D4—41no—
392C22×D4—41no—
393C22×D4Q8×C3114yescomplemented
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—24no—
397C23×C4—24no—
398C23×C4—24no—
399C23×C4—42no—
400C23×C4—42no—
401C23×C4C23×C3112yes—
402C23×C4C23×C3111yescharacteristic
403C23×C4C23×C3112yes—
404C23×C4C23×C3112yes—
405C23×C4C23×C3112yes—
406C23×C4C23×C3111yescharacteristic
407C23×C4C23×C3111yescharacteristic
408C23×C4C23×C3112yes—
409C22⋊Q8—264no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—41no—
420C2×C4⋊C4D4×C3118yescomplemented
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4D4×C3118yes—
436#95—24no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—22no—
441#95—41no—
442#95—42no—
443#95—41no—
444#95—41no—
445C31#1595111yescharacteristic, direct product factor, Sylow
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24C2×D4×C3114yes—
459C24C2×Q8×C3114yes—
460C24#41×C3114yes—
461C24C24×C3111yescharacteristic
462C2×Q8—216no—
463C2×Q8—44no—
464C2×Q8—44no—
465C2×Q8—48no—
466C2×Q8—44no—
467C2×D4—216no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—48no—
471C2×D4—44no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—216no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
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—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4C2×D4×C3114yes—
521C22×C4C2×D4×C3114yes—
522C22×C4C2×D4×C3112yes—
523C22×C4C2×D4×C3114yes—
524C22×C4C2×D4×C3114yes—
525C22×C4C2×D4×C3114yes—
526C22×C4C2×D4×C3114yes—
527C22×C4C2×Q8×C3112yes—
528C22×C4#41×C3112yes—
529C4⋊C4—216no—
530C4⋊C4—216no—
531C4⋊C4—216no—
532C4⋊C4—44no—
533C22⋊C4—216no—
534C22⋊C4—216no—
535C22⋊C4—216no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23C31×C22⋊Q818yescomplemented
573C23C22×D4×C3111yescharacteristic
574C23C22×D4×C3112yes—
575C23C22×D4×C3112yes—
576C23C22×Q8×C3111yescharacteristic
577C23C2×#41×C3112yes—
578C23C2×#41×C3111yescharacteristic
579C23C31×H(5,𝔽2)11yescharacteristic
580C23C31×H(5,𝔽2)11yescharacteristic
581C23C31×H(5,𝔽2)11yescharacteristic
582C23C31×2−1+411yescharacteristic
583C23C31×2−1+412yes—
584Q8—416no—
585D4—416no—
586C2×C4—24no—
587C2×C4—24no—
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—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—432no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4C31×#12018yes—
637C22—28no—
638C22—28no—
639C22—28no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22C2×C31×#12012yes—
653C22C2×C31×C22⋊Q812yes—
654C22C31×#52512yes—
655C22C31×#53411yescharacteristic
656C22C31×#53612yes—
657C22C31×#53712yes—
658C22C31×#53911yescharacteristic
659C22C31×#53912yes—
660C22C31×#54311yescharacteristic
661C22D42×C3111yescharacteristic
662C22D42×C3112yes—
663C22D42×C3111yescharacteristic
664C22C31×#54612yes—
665C22C31×#54712yes—
666C22C31×#54812yes—
667C22C31×#54812yes—
668C22D4×Q8×C3111yescharacteristic
669C22D4×Q8×C3112yes—
670C22C31×#55011yescharacteristic
671C22C31×#55111yescharacteristic
672C22C31×#55411yescharacteristic
673C22C31×#56211yescharacteristic
674C22C31×#56311yescharacteristic
675C4—28no—
676C4—44no—
677C4—42no—
678C4—44no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—82no—
683C2—48no—
684C2C31×#240311yescharacteristic
685C2C31×#240712yes—
686C2C31×#240912yes—
687C2C31×#243711yescharacteristic
688C2C31×#244912yes—
689C2C31×#246311yescharacteristic
690C2C31×#268011yescharacteristic
691C2C31×#268112yes—
692C2C31×#268311yescharacteristic
693C2C31×#272811yescharacteristic
694C2C31×#273211yescharacteristic
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC23×D4×C31C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C31×C22⋊Q8C2semidirect
3. C2×C31×#385C2semidirect
4. C31×#1446C2semidirect
5. C31×#1444C2semidirect
6. C31×#1441C2semidirect
7. C31×#1439C2semidirect
8. C31×#1439C2semidirect
41. C22×Q8×C31D4semidirect
46. C22×D4×C31Q8semidirect
73. C2×C4⋊C4×C31D4semidirect
190. #15951C31direct (N × H)
225. C23×C31C22⋊Q8semidirect
290. C22×C22⋊Q8C2×C31semidirect
292. C2×#385C2×C31semidirect
293. #1446C2×C31semidirect
294. #1444C2×C31semidirect
295. #1441C2×C31semidirect
296. #1439C2×C31semidirect
297. #1439C2×C31semidirect
388. C22×Q8D4×C31semidirect
393. C22×D4Q8×C31semidirect
420. C2×C4⋊C4D4×C31semidirect
445. C31#15951direct (N × H)
572. C23C31×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C22×C31×C22⋊Q82
C2×C31×#3862
C2×C31×#3852
C31×#14462
C31×#14442
C31×#14412
C31×#14392
C31×#14382
#1595131