Finite Group Databasebeta

← C31×#24262 #21481021

Subgroups — C31×#24262 #21481021

Order 7936.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3496C211yesmaximal, characteristic, complemented
2C2×C31×B(4,𝔽2)C212yesmaximal, complemented
3C31×#2617C212yesmaximal, complemented
4C31×#2321C211yesmaximal, characteristic, complemented
5C31×#2044C212yesmaximal, complemented
6C31×#2021C212yesmaximal, complemented
7C31×#1964C212yesmaximal, complemented
8C31×#1799C211yesmaximal, characteristic, complemented
9C31×#1790C212yesmaximal, complemented
10C2×C31×H(5,𝔽2)C2212yes—
11C31×#547—22no—
12C31×#546—24no—
13D42×C31—22no—
14C31×#537—21no—
15C31×#534—21no—
16C31×#534C2212yes—
17C31×#532—21no—
18C2×C31×#121—21no—
19C2×C31×#121C2212yes—
20C2×C31×#120C2211yescharacteristic
21C2×C31×#120C2214yescomplemented
22C2×C4×D4×C31C2211yescharacteristic
23C22×C22⋊C4×C31C2211yescharacteristic, complemented
24C31×B(4,𝔽2)—28no—
25C2×C31×#99C2212yes—
26C2×C31×#99C2214yescomplemented
27C2×C31×#99C2214yescomplemented
28C31×#397—22no—
29C31×#394—24no—
30C31×#392—22no—
31C31×#390—21no—
32C31×#388—21no—
33C31×#388—21no—
34C31×#386—21no—
35C31×#386C2211yescharacteristic
36C31×#386C2214yescomplemented
37C31×#385C2211yescharacteristic, complemented
38C31×#380C2212yescomplemented
39C31×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C31C2211yescharacteristic, complemented
41C31×#342C2212yescomplemented
42C25×C31C2311yescharacteristic
43C31×H(5,𝔽2)—24no—
44C31×H(5,𝔽2)—24no—
45C31×H(5,𝔽2)—44no—
46C2×#41×C31—22no—
47C2×#41×C31—24no—
48C22×D4×C31—22no—
49C22×D4×C31—24no—
50C22×D4×C31—21no—
51C22×D4×C31—21no—
52C22×D4×C31—24no—
53C22×D4×C31D412yescomplemented
54C22×D4×C31C2314yes—
55C22×D4×C31C2311yescharacteristic
56C23×C4×C31D411yescharacteristic, complemented
57C23×C4×C31C2311yescharacteristic
58C23×C4×C31C2311yescharacteristic
59C31×C4⋊Q8—21no—
60C31×#127—21no—
61C31×#124—22no—
62C31×#123—24no—
63C31×#123—24no—
64C31×C22⋊Q8—24no—
65C31×#121—22no—
66C31×#121—22no—
67C31×#121—24no—
68C31×#121—22no—
69C31×#121—22no—
70C31×#121—22no—
71C31×#121—22no—
72C31×#121—22no—
73C31×#121—22no—
74C31×#120—24no—
75C31×#120—24no—
76C31×#120—22no—
77C31×#120—28no—
78C31×#120—44no—
79C31×#120D414yescomplemented
80C4×D4×C31—22no—
81C4×D4×C31—22no—
82C4×D4×C31—22no—
83C4×D4×C31—22no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—22no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31D412yescomplemented
88C2×C4⋊C4×C31D411yescharacteristic, complemented
89C2×C22⋊C4×C31—22no—
90C2×C22⋊C4×C31—21no—
91C2×C22⋊C4×C31—22no—
92C2×C22⋊C4×C31—24no—
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—22no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—24no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31D411yescharacteristic, complemented
101C2×C22⋊C4×C31D414yescomplemented
102C2×C22⋊C4×C31C2314yes—
103C2×C22⋊C4×C31C2311yescharacteristic
104C2×C22⋊C4×C31C2311yescharacteristic
105C2×C22⋊C4×C31C2311yescharacteristic
106C2×C42×C31—21no—
107C2×C42×C31D411yescharacteristic, complemented
108C31×#99—24no—
109C31×#99—28no—
110C31×#99—44no—
111C31×#95—22no—
112C31×#95—24no—
113C31×#95—21no—
114C31×#95—21no—
115C31×#95—21no—
116C24×C31—22no—
117C24×C31—21no—
118C24×C31—22no—
119C24×C31—21no—
120C24×C31—22no—
121C24×C31—81no—
122C24×C31—81no—
123C24×C31C2×D414yes—
124C24×C31C2×D411yescharacteristic
125C24×C31C2×D412yescomplemented
126C24×C31C2411yescharacteristic
127#41×C31—48no—
128#41×C31—48no—
129#41×C31—44no—
130#41×C31—44no—
131C2×Q8×C31—22no—
132C2×D4×C31—22no—
133C2×D4×C31—22no—
134C2×D4×C31—24no—
135C2×D4×C31—22no—
136C2×D4×C31—24no—
137C2×D4×C31—24no—
138C2×D4×C31—24no—
139C2×D4×C31—24no—
140C2×D4×C31—24no—
141C2×D4×C31—24no—
142C2×D4×C31—22no—
143C2×D4×C31—22no—
144C2×D4×C31—24no—
145C2×D4×C31—22no—
146C2×D4×C31—22no—
147C2×D4×C31—48no—
148C2×D4×C31—48no—
149C2×D4×C31—44no—
150C2×D4×C31—44no—
151C2×D4×C31—48no—
152C2×D4×C31—82no—
153C2×D4×C31—82no—
154C2×D4×C31—81no—
155C2×D4×C31—81no—
156C2×D4×C31—84no—
157C2×D4×C31—84no—
158C2×D4×C31C2×D412yes—
159C2×D4×C31#4112yes—
160C22×C4×C31—22no—
161C22×C4×C31—24no—
162C22×C4×C31—21no—
163C22×C4×C31—21no—
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—22no—
167C22×C4×C31—21no—
168C22×C4×C31—24no—
169C22×C4×C31—81no—
170C22×C4×C31—81no—
171C22×C4×C31—81no—
172C22×C4×C31C2×D414yes—
173C22×C4×C31C2×D411yescharacteristic
174C22×C4×C31C2×D411yescharacteristic
175C22×C4×C31C2×D411yescharacteristic
176C22×C4×C31C2×D411yescharacteristic
177C22×C4×C31C2×D412yes—
178C22×C4×C31C2×D411yescharacteristic
179C22×C4×C31C2×D412yes—
180C4⋊C4×C31—22no—
181C4⋊C4×C31—22no—
182C4⋊C4×C31—22no—
183C4⋊C4×C31—22no—
184C4⋊C4×C31—22no—
185C4⋊C4×C31—82no—
186C4⋊C4×C31—81no—
187C22⋊C4×C31—24no—
188C22⋊C4×C31—24no—
189C22⋊C4×C31—22no—
190C22⋊C4×C31—21no—
191C22⋊C4×C31—24no—
192C22⋊C4×C31—22no—
193C22⋊C4×C31—24no—
194C22⋊C4×C31—24no—
195C22⋊C4×C31—24no—
196C22⋊C4×C31—22no—
197C22⋊C4×C31—24no—
198C22⋊C4×C31—48no—
199C22⋊C4×C31—41no—
200C22⋊C4×C31—41no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—81no—
203C22⋊C4×C31—81no—
204C22⋊C4×C31—81no—
205C22⋊C4×C31—84no—
206C22⋊C4×C31C2×D412yescomplemented
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—81no—
210#24262C3111yesmaximal, characteristic, direct product factor, Sylow
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—24no—
214C23×C31—22no—
215C23×C31—24no—
216C23×C31—24no—
217C23×C31—24no—
218C23×C31—41no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—44no—
226C23×C31—41no—
227C23×C31—44no—
228C23×C31—44no—
229C23×C31—44no—
230C23×C31—44no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31—42no—
234C23×C31—82no—
235C23×C31—82no—
236C23×C31—84no—
237C23×C31—82no—
238C23×C31—82no—
239C23×C31#12112yes—
240C23×C31C22×D411yescharacteristic
241C23×C31C22×D412yes—
242C23×C31C22×D411yescharacteristic
243C23×C31C2×#4111yescharacteristic
244C23×C31H(5,𝔽2)12yes—
245Q8×C31—44no—
246D4×C31—24no—
247D4×C31—24no—
248D4×C31—44no—
249D4×C31—44no—
250D4×C31—48no—
251D4×C31—44no—
252D4×C31—44no—
253D4×C31—44no—
254D4×C31—44no—
255D4×C31—82no—
256D4×C31—82no—
257D4×C31—84no—
258D4×C31—82no—
259D4×C31—816no—
260C2×C4×C31—21no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—21no—
264C2×C4×C31—24no—
265C2×C4×C31—22no—
266C2×C4×C31—24no—
267C2×C4×C31—24no—
268C2×C4×C31—41no—
269C2×C4×C31—42no—
270C2×C4×C31—41no—
271C2×C4×C31—42no—
272C2×C4×C31—42no—
273C2×C4×C31—48no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—44no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—44no—
283C2×C4×C31—44no—
284C2×C4×C31—41no—
285C2×C4×C31—44no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
288C2×C4×C31—44no—
289C2×C4×C31—81no—
290C2×C4×C31#12011yescharacteristic
291C2×C4×C31#12011yescharacteristic
292C2×C4×C31#12012yes—
293C2×C4×C31#12112yes—
294#3496C2×C3111yescharacteristic, complemented
295C2×B(4,𝔽2)C2×C3112yescomplemented
296#2617C2×C3112yescomplemented
297#2321C2×C3111yescharacteristic, complemented
298#2044C2×C3112yescomplemented
299#2021C2×C3112yescomplemented
300#1964C2×C3112yescomplemented
301#1799C2×C3111yescharacteristic, complemented
302#1790C2×C3112yescomplemented
303C22×C31—21no—
304C22×C31—22no—
305C22×C31—21no—
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31—42no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—48no—
314C22×C31—42no—
315C22×C31—41no—
316C22×C31—41no—
317C22×C31—44no—
318C22×C31—42no—
319C22×C31—44no—
320C22×C31—44no—
321C22×C31—81no—
322C22×C31—84no—
323C22×C31—84no—
324C22×C31—81no—
325C22×C31—81no—
326C22×C31—84no—
327C22×C31—81no—
328C22×C31—81no—
329C22×C31—164no—
330C22×C31C2×#12011yescharacteristic
331C22×C31C2×#12111yescharacteristic
332C22×C31#53511yescharacteristic
333C22×C31D4212yes—
334C22×C31#54612yes—
335C4×C31—22no—
336C4×C31—21no—
337C4×C31—21no—
338C4×C31—22no—
339C4×C31—42no—
340C4×C31—44no—
341C4×C31—41no—
342C4×C31—41no—
343C4×C31—81no—
344C4×C31—84no—
345C4×C31—81no—
346C2×H(5,𝔽2)C22×C3112yes—
347#547—22no—
348#546—24no—
349D42—22no—
350#537—21no—
351#534—21no—
352#534C22×C3112yes—
353#532—21no—
354C2×#121—21no—
355C2×#121C22×C3112yes—
356C2×#120C22×C3111yescharacteristic
357C2×#120C22×C3114yescomplemented
358C2×C4×D4C22×C3111yescharacteristic
359C22×C22⋊C4C22×C3111yescharacteristic, complemented
360B(4,𝔽2)—28no—
361C2×#99C22×C3112yes—
362C2×#99C22×C3114yescomplemented
363C2×#99C22×C3114yescomplemented
364#397—22no—
365#394—24no—
366#392—22no—
367#390—21no—
368#388—21no—
369#388—21no—
370#386—21no—
371#386C22×C3111yescharacteristic
372#386C22×C3114yescomplemented
373#385C22×C3111yescharacteristic, complemented
374#380C22×C3112yescomplemented
375#379C22×C3111yescharacteristic, complemented
376C4×C22⋊C4C22×C3111yescharacteristic, complemented
377#342C22×C3112yescomplemented
378C2×C31—21no—
379C2×C31—22no—
380C2×C31—21no—
381C2×C31—22no—
382C2×C31—42no—
383C2×C31—82no—
384C2×C31—84no—
385C2×C31#240811yescharacteristic
386C2×C31#302611yescharacteristic
387C2×C31#302711yescharacteristic
388C25C23×C3111yescharacteristic
389H(5,𝔽2)—24no—
390H(5,𝔽2)—24no—
391H(5,𝔽2)—44no—
392C2×#41—22no—
393C2×#41—24no—
394C22×D4—22no—
395C22×D4—24no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—24no—
399C22×D4D4×C3112yescomplemented
400C22×D4C23×C3114yes—
401C22×D4C23×C3111yescharacteristic
402C23×C4D4×C3111yescharacteristic, complemented
403C23×C4C23×C3111yescharacteristic
404C23×C4C23×C3111yescharacteristic
405C4⋊Q8—21no—
406#127—21no—
407#124—22no—
408#123—24no—
409#123—24no—
410C22⋊Q8—24no—
411#121—22no—
412#121—22no—
413#121—24no—
414#121—22no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#120—24no—
421#120—24no—
422#120—22no—
423#120—28no—
424#120—44no—
425#120D4×C3114yescomplemented
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4D4×C3111yescharacteristic, complemented
434C2×C4⋊C4D4×C3112yescomplemented
435C2×C22⋊C4—22no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4D4×C3111yescharacteristic, complemented
447C2×C22⋊C4D4×C3114yescomplemented
448C2×C22⋊C4C23×C3114yes—
449C2×C22⋊C4C23×C3111yescharacteristic
450C2×C22⋊C4C23×C3111yescharacteristic
451C2×C22⋊C4C23×C3111yescharacteristic
452C2×C42—21no—
453C2×C42D4×C3111yescharacteristic, complemented
454#99—24no—
455#99—28no—
456#99—44no—
457#95—21no—
458#95—22no—
459#95—21no—
460#95—21no—
461#95—24no—
462C31#2426211yescharacteristic, direct product factor, Sylow
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C3114yes—
471C24C2×D4×C3111yescharacteristic
472C24C2×D4×C3112yescomplemented
473C24C24×C3111yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C3112yes—
506C2×D4#41×C3112yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C3114yes—
520C22×C4C2×D4×C3111yescharacteristic
521C22×C4C2×D4×C3111yescharacteristic
522C22×C4C2×D4×C3111yescharacteristic
523C22×C4C2×D4×C3111yescharacteristic
524C22×C4C2×D4×C3112yes—
525C22×C4C2×D4×C3111yescharacteristic
526C22×C4C2×D4×C3112yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C3112yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23C31×#12112yes—
586C23C22×D4×C3111yescharacteristic
587C23C22×D4×C3112yes—
588C23C22×D4×C3111yescharacteristic
589C23C2×#41×C3111yescharacteristic
590C23C31×H(5,𝔽2)12yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—82no—
603D4—84no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4C31×#12011yescharacteristic
637C2×C4C31×#12011yescharacteristic
638C2×C4C31×#12012yes—
639C2×C4C31×#12112yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×C31×#12011yescharacteristic
668C22C2×C31×#12111yescharacteristic
669C22C31×#53511yescharacteristic
670C22D42×C3112yes—
671C22C31×#54612yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C31×#240811yescharacteristic
691C2C31×#302611yescharacteristic
692C2C31×#302711yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC24C24×C31
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3496C2semidirect
2. C2×C31×B(4,𝔽2)C2semidirect
3. C31×#2617C2semidirect
4. C31×#2321C2semidirect
5. C31×#2044C2semidirect
6. C31×#2021C2semidirect
7. C31×#1964C2semidirect
8. C31×#1799C2semidirect
9. C31×#1790C2semidirect
21. C2×C31×#120C22semidirect
23. C22×C22⋊C4×C31C22semidirect
26. C2×C31×#99C22semidirect
27. C2×C31×#99C22semidirect
36. C31×#386C22semidirect
37. C31×#385C22semidirect
38. C31×#380C22semidirect
39. C31×#379C22semidirect
40. C4×C22⋊C4×C31C22semidirect
41. C31×#342C22semidirect
53. C22×D4×C31D4semidirect
56. C23×C4×C31D4semidirect
79. C31×#120D4semidirect
87. C2×C4⋊C4×C31D4semidirect
88. C2×C4⋊C4×C31D4semidirect
100. C2×C22⋊C4×C31D4semidirect
101. C2×C22⋊C4×C31D4semidirect
107. C2×C42×C31D4semidirect
125. C24×C31C2×D4semidirect
206. C22⋊C4×C31C2×D4semidirect
210. #24262C31direct (N × H)
294. #3496C2×C31semidirect
295. C2×B(4,𝔽2)C2×C31semidirect
296. #2617C2×C31semidirect
297. #2321C2×C31semidirect
298. #2044C2×C31semidirect
299. #2021C2×C31semidirect
300. #1964C2×C31semidirect
301. #1799C2×C31semidirect
302. #1790C2×C31semidirect
357. C2×#120C22×C31semidirect
359. C22×C22⋊C4C22×C31semidirect
362. C2×#99C22×C31semidirect
363. C2×#99C22×C31semidirect
372. #386C22×C31semidirect
373. #385C22×C31semidirect
374. #380C22×C31semidirect
375. #379C22×C31semidirect
376. C4×C22⋊C4C22×C31semidirect
377. #342C22×C31semidirect
399. C22×D4D4×C31semidirect
402. C23×C4D4×C31semidirect
425. #120D4×C31semidirect
433. C2×C4⋊C4D4×C31semidirect
434. C2×C4⋊C4D4×C31semidirect
446. C2×C22⋊C4D4×C31semidirect
447. C2×C22⋊C4D4×C31semidirect
453. C2×C42D4×C31semidirect
462. C31#24262direct (N × H)
472. C24C2×D4×C31semidirect
553. C22⋊C4C2×D4×C31semidirect

Maximal subgroups

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

subgroupindex
C31×#34962
C2×C31×B(4,𝔽2)2
C31×#26172
C31×#23212
C31×#20442
C31×#20212
C31×#19642
C31×#17992
C31×#17902
#2426231