Finite Group Databasebeta

← C31×#24007 #21480766

Subgroups — C31×#24007 #21480766

Order 7936.

1520 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#525C211yesmaximal, characteristic
2C2×C31×#484C211yesmaximal, characteristic, complemented
3C2×C31×#481C211yesmaximal, characteristic, complemented
4C2×C31×#380C211yesmaximal, characteristic, complemented
5C31×#2035C212yesmaximal, complemented
6C31×#2033C212yesmaximal, complemented
7C31×#1874C211yesmaximal, characteristic, complemented
8C31×#1872C211yesmaximal, characteristic, complemented
9C31×#1854C212yesmaximal, complemented
10C31×#1788C212yesmaximal, complemented
11C31×#1779C211yesmaximal, characteristic, complemented
12C22×#41×C31C2211yescharacteristic
13C24×C4×C31C2211yescharacteristic
14C31×#525—24no—
15C31×#525—24no—
16C2×C31×#123—21no—
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C31×#121C2211yescharacteristic
20C2×C31×#121C2211yescharacteristic
21C2×C31×#120—21no—
22C2×C4×D4×C31—21no—
23C2×C4×D4×C31—21no—
24C2×C31×#117C2211yescharacteristic
25C22×C4⋊C4×C31C2211yescharacteristic
26C22×C4⋊C4×C31C2211yescharacteristic
27C22×C22⋊C4×C31—21no—
28C31×#484—24no—
29C31×#481—24no—
30C2×C31×#107C2212yescomplemented
31C2×C31×#106C2212yescomplemented
32C2×C31×#103C2212yescomplemented
33C2×C31×#103C2212yescomplemented
34C2×C31×#102C2212yescomplemented
35C2×C31×#102C2212yescomplemented
36C2×C31×C22⋊C8C2211yescharacteristic
37C2×C31×C22⋊C8C2211yescharacteristic
38C2×C31×C22⋊C8C2212yes—
39C2×C31×C22⋊C8C2212yes—
40C31×#380—21no—
41C31×#380—21no—
42C31×#380C2212yes—
43C31×#380C2212yes—
44C2×C31×#95—21no—
45C31×#340C2212yescomplemented
46C31×#340C2212yescomplemented
47C25×C31D411yescharacteristic
48C2×#41×C31—22no—
49C2×#41×C31—22no—
50C2×#41×C31—24no—
51C2×#41×C31—42no—
52C22×Q8×C31C2311yescharacteristic
53C22×D4×C31—21no—
54C22×D4×C31—21no—
55C22×D4×C31—21no—
56C22×D4×C31C2311yescharacteristic
57C23×C4×C31—21no—
58C23×C4×C31—22no—
59C23×C4×C31—22no—
60C23×C4×C31—24no—
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31—42no—
64C23×C4×C31D411yescharacteristic
65C23×C4×C31D411yescharacteristic
66C23×C4×C31D411yescharacteristic
67C23×C4×C31C2311yescharacteristic
68C23×C4×C31C2311yescharacteristic
69C23×C4×C31C2311yescharacteristic
70C22×C8×C31C2312yes—
71C22×C8×C31C2312yes—
72C31×#123—28no—
73C31×C22⋊Q8—22no—
74C31×C22⋊Q8—22no—
75C31×C22⋊Q8—22no—
76C31×C22⋊Q8D414yes—
77C31×#121—22no—
78C31×#121—22no—
79C31×#121—22no—
80C31×#121D414yes—
81C31×#120—28no—
82C4×D4×C31—28no—
83C4×D4×C31—28no—
84C31×#117—22no—
85C31×#117—22no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—22no—
89C2×C4⋊C4×C31—22no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—42no—
93C2×C4⋊C4×C31C2312yes—
94C2×C4⋊C4×C31C2312yes—
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—22no—
103C2×C22⋊C4×C31—22no—
104C2×C22⋊C4×C31—44no—
105C2×C42×C31—21no—
106C31×#107—24no—
107C31×#106—24no—
108C31×#103—24no—
109C31×#103—42no—
110C31×#102—24no—
111C31×#102—42no—
112C31×C22⋊C8—22no—
113C31×C22⋊C8—22no—
114C31×C22⋊C8—24no—
115C31×C22⋊C8—42no—
116C31×#95—22no—
117C31×#95—22no—
118C24×C31—22no—
119C24×C31—22no—
120C24×C31—22no—
121C24×C31—22no—
122C24×C31—22no—
123C24×C31—21no—
124C24×C31—41no—
125C24×C31—41no—
126C24×C31C2×D411yescharacteristic
127C24×C31C2×D411yescharacteristic
128C24×C31C2×D411yescharacteristic
129#41×C31—48no—
130#41×C31—48no—
131C2×Q8×C31—21no—
132C2×Q8×C31—22no—
133C2×Q8×C31—22no—
134C2×Q8×C31C2×D412yes—
135C2×D4×C31—24no—
136C2×D4×C31—24no—
137C2×D4×C31—24no—
138C2×D4×C31—21no—
139C2×D4×C31—22no—
140C2×D4×C31—22no—
141C2×D4×C31—42no—
142C2×D4×C31—42no—
143C2×D4×C31—42no—
144C2×D4×C31—42no—
145C2×D4×C31—42no—
146C2×D4×C31—42no—
147C2×D4×C31C2×D412yes—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—24no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—22no—
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—22no—
163C22×C4×C31—21no—
164C22×C4×C31—21no—
165C22×C4×C31—22no—
166C22×C4×C31—22no—
167C22×C4×C31—22no—
168C22×C4×C31—22no—
169C22×C4×C31—41no—
170C22×C4×C31—41no—
171C22×C4×C31—41no—
172C22×C4×C31—48no—
173C22×C4×C31—48no—
174C22×C4×C31—42no—
175C22×C4×C31—42no—
176C22×C4×C31—42no—
177C22×C4×C31—42no—
178C22×C4×C31—42no—
179C22×C4×C31—42no—
180C22×C4×C31—42no—
181C22×C4×C31—42no—
182C22×C4×C31C2×D411yescharacteristic
183C22×C4×C31C2×D411yescharacteristic
184C22×C4×C31C2×D412yes—
185C22×C4×C31C2×D412yes—
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31#4114yes—
188C22×C4×C31C2411yescharacteristic
189C2×C8×C31—22no—
190C2×C8×C31—22no—
191C2×C8×C31—22no—
192C2×C8×C31—22no—
193C2×C8×C31—22no—
194C2×C8×C31—22no—
195C4⋊C4×C31—24no—
196C4⋊C4×C31—24no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—22no—
203C4⋊C4×C31—42no—
204C4⋊C4×C31—42no—
205C4⋊C4×C31C2×D412yes—
206C4⋊C4×C31C2×D412yes—
207C22⋊C4×C31—24no—
208C22⋊C4×C31—24no—
209C22⋊C4×C31—24no—
210C22⋊C4×C31—24no—
211C22⋊C4×C31—24no—
212C22⋊C4×C31—44no—
213C22⋊C4×C31—44no—
214C42×C31—24no—
215#24007C3111yesmaximal, characteristic, direct product factor, Sylow
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—28no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31—21no—
225C23×C31—21no—
226C23×C31—21no—
227C23×C31—21no—
228C23×C31—21no—
229C23×C31—21no—
230C23×C31—21no—
231C23×C31—21no—
232C23×C31—21no—
233C23×C31—22no—
234C23×C31—44no—
235C23×C31—44no—
236C23×C31—44no—
237C23×C31—44no—
238C23×C31—44no—
239C23×C31—44no—
240C23×C31—41no—
241C23×C31—41no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—41no—
245C23×C31—41no—
246C23×C31#12012yes—
247C23×C31#12312yes—
248C23×C31#13512yes—
249C23×C31AGL(1,ℤ/8)12yes—
250C23×C31#13712yes—
251C23×C31C22×D411yescharacteristic
252Q8×C31—24no—
253Q8×C31—42no—
254D4×C31—24no—
255D4×C31—48no—
256D4×C31—48no—
257D4×C31—48no—
258D4×C31—42no—
259C2×C4×C31—21no—
260C2×C4×C31—21no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—24no—
264C2×C4×C31—24no—
265C2×C4×C31—24no—
266C2×C4×C31—24no—
267C2×C4×C31—22no—
268C2×C4×C31—22no—
269C2×C4×C31—21no—
270C2×C4×C31—22no—
271C2×C4×C31—21no—
272C2×C4×C31—21no—
273C2×C4×C31—44no—
274C2×C4×C31—44no—
275C2×C4×C31—44no—
276C2×C4×C31—48no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
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—42no—
290C2×C4×C31—42no—
291C2×C4×C31—84no—
292C2×C4×C31—84no—
293C2×C4×C31#12012yes—
294C2×C4×C31#12312yes—
295C2×C4×C31C22×D411yescharacteristic
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C2×#4112yes—
298C2×C4×C31H(5,𝔽2)12yes—
299C8×C31—42no—
300C8×C31—42no—
301C2×#525C2×C3111yescharacteristic
302C2×#484C2×C3111yescharacteristic, complemented
303C2×#481C2×C3111yescharacteristic, complemented
304C2×#380C2×C3111yescharacteristic, complemented
305#2035C2×C3112yescomplemented
306#2033C2×C3112yescomplemented
307#1874C2×C3111yescharacteristic, complemented
308#1872C2×C3111yescharacteristic, complemented
309#1854C2×C3112yescomplemented
310#1788C2×C3112yescomplemented
311#1779C2×C3111yescharacteristic, complemented
312C22×C31—22no—
313C22×C31—22no—
314C22×C31—22no—
315C22×C31—22no—
316C22×C31—22no—
317C22×C31—22no—
318C22×C31—22no—
319C22×C31—22no—
320C22×C31—22no—
321C22×C31—22no—
322C22×C31—22no—
323C22×C31—22no—
324C22×C31—416no—
325C22×C31—41no—
326C22×C31—41no—
327C22×C31—41no—
328C22×C31—41no—
329C22×C31—41no—
330C22×C31—41no—
331C22×C31—41no—
332C22×C31—41no—
333C22×C31—42no—
334C22×C31—42no—
335C22×C31—42no—
336C22×C31—81no—
337C22×C31—81no—
338C22×C31—81no—
339C22×C31—81no—
340C22×C31#45214yes—
341C22×C31C2×#12011yescharacteristic
342C22×C31C2×#12311yescharacteristic
343C22×C31#53411yescharacteristic
344C22×C31C2×#13511yescharacteristic
345C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
346C22×C31C2×#13711yescharacteristic
347C22×C31#57511yescharacteristic
348C4×C31—22no—
349C4×C31—22no—
350C4×C31—41no—
351C4×C31—42no—
352C4×C31—42no—
353C4×C31—42no—
354C4×C31—82no—
355C4×C31—82no—
356C4×C31#54612yes—
357C4×C31#54612yes—
358C22×#41C22×C3111yescharacteristic
359C24×C4C22×C3111yescharacteristic
360#525—24no—
361#525—24no—
362C2×#123—21no—
363C2×C22⋊Q8C22×C3111yescharacteristic
364C2×C22⋊Q8C22×C3111yescharacteristic
365C2×#121C22×C3111yescharacteristic
366C2×#121C22×C3111yescharacteristic
367C2×#120—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×#117C22×C3111yescharacteristic
371C22×C4⋊C4C22×C3111yescharacteristic
372C22×C4⋊C4C22×C3111yescharacteristic
373C22×C22⋊C4—21no—
374#484—24no—
375#481—24no—
376C2×#107C22×C3112yescomplemented
377C2×#106C22×C3112yescomplemented
378C2×#103C22×C3112yescomplemented
379C2×#103C22×C3112yescomplemented
380C2×#102C22×C3112yescomplemented
381C2×#102C22×C3112yescomplemented
382C2×C22⋊C8C22×C3111yescharacteristic
383C2×C22⋊C8C22×C3111yescharacteristic
384C2×C22⋊C8C22×C3112yes—
385C2×C22⋊C8C22×C3112yes—
386#380—21no—
387#380—21no—
388#380C22×C3112yes—
389#380C22×C3112yes—
390C2×#95—21no—
391#340C22×C3112yescomplemented
392#340C22×C3112yescomplemented
393C2×C31—24no—
394C2×C31—42no—
395C2×C31—42no—
396C2×C31—82no—
397C2×C31#240511yescharacteristic
398C2×C31C2×#45211yescharacteristic
399C2×C31#300611yescharacteristic
400C2×C31#309111yescharacteristic
401C2×C31#309211yescharacteristic
402C2×C31#318811yescharacteristic
403C2×C31#319611yescharacteristic
404C25D4×C3111yescharacteristic
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—24no—
408C2×#41—42no—
409C22×Q8C23×C3111yescharacteristic
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4C23×C3111yescharacteristic
414C23×C4—21no—
415C23×C4—22no—
416C23×C4—22no—
417C23×C4—24no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—42no—
421C23×C4D4×C3111yescharacteristic
422C23×C4D4×C3111yescharacteristic
423C23×C4D4×C3111yescharacteristic
424C23×C4C23×C3111yescharacteristic
425C23×C4C23×C3111yescharacteristic
426C23×C4C23×C3111yescharacteristic
427C22×C8C23×C3112yes—
428C22×C8C23×C3112yes—
429#123—28no—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8—22no—
433C22⋊Q8D4×C3114yes—
434#121—22no—
435#121—22no—
436#121—22no—
437#121D4×C3114yes—
438#120—28no—
439C4×D4—28no—
440C4×D4—28no—
441#117—22no—
442#117—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—42no—
450C2×C4⋊C4C23×C3112yes—
451C2×C4⋊C4C23×C3112yes—
452C2×C4⋊C4C23×C3111yescharacteristic
453C2×C4⋊C4C23×C3111yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—44no—
462C2×C42—21no—
463#107—24no—
464#106—24no—
465#103—24no—
466#103—42no—
467#102—24no—
468#102—42no—
469C22⋊C8—22no—
470C22⋊C8—22no—
471C22⋊C8—24no—
472C22⋊C8—42no—
473#95—22no—
474#95—22no—
475C31#2400711yescharacteristic, direct product factor, Sylow
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—21no—
482C24—41no—
483C24—41no—
484C24C2×D4×C3111yescharacteristic
485C24C2×D4×C3111yescharacteristic
486C24C2×D4×C3111yescharacteristic
487#41—48no—
488#41—48no—
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8C2×D4×C3112yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4C2×D4×C3112yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4C2×D4×C3111yescharacteristic
541C22×C4C2×D4×C3111yescharacteristic
542C22×C4C2×D4×C3112yes—
543C22×C4C2×D4×C3112yes—
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4#41×C3114yes—
546C22×C4C24×C3111yescharacteristic
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4C2×D4×C3112yes—
564C4⋊C4C2×D4×C3112yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—28no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23C31×#12012yes—
604C23C31×#12312yes—
605C23C31×#13512yes—
606C23C31×AGL(1,ℤ/8)12yes—
607C23C31×#13712yes—
608C23C22×D4×C3111yescharacteristic
609Q8—24no—
610Q8—42no—
611D4—24no—
612D4—48no—
613D4—48no—
614D4—48no—
615D4—42no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—48no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—84no—
649C2×C4—84no—
650C2×C4C31×#12012yes—
651C2×C4C31×#12312yes—
652C2×C4C22×D4×C3111yescharacteristic
653C2×C4C22×D4×C3111yescharacteristic
654C2×C4C2×#41×C3112yes—
655C2×C4C31×H(5,𝔽2)12yes—
656C8—42no—
657C8—42no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—416no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22C31×#45214yes—
687C22C2×C31×#12011yescharacteristic
688C22C2×C31×#12311yescharacteristic
689C22C31×#53411yescharacteristic
690C22C2×C31×#13511yescharacteristic
691C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
692C22C2×C31×#13711yescharacteristic
693C22C31×#57511yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—82no—
701C4—82no—
702C4C31×#54612yes—
703C4C31×#54612yes—
704C2—24no—
705C2—42no—
706C2—42no—
707C2—82no—
708C2C31×#240511yescharacteristic
709C2C2×C31×#45211yescharacteristic
710C2C31×#300611yescharacteristic
711C2C31×#309111yescharacteristic
712C2C31×#309211yescharacteristic
713C2C31×#318811yescharacteristic
714C2C31×#319611yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#525C2
LCSG ▷ C22×C4 ▷ C2 ▷ 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×#484C2semidirect
3. C2×C31×#481C2semidirect
4. C2×C31×#380C2semidirect
5. C31×#2035C2semidirect
6. C31×#2033C2semidirect
7. C31×#1874C2semidirect
8. C31×#1872C2semidirect
9. C31×#1854C2semidirect
10. C31×#1788C2semidirect
11. C31×#1779C2semidirect
30. C2×C31×#107C22semidirect
31. C2×C31×#106C22semidirect
32. C2×C31×#103C22semidirect
33. C2×C31×#103C22semidirect
34. C2×C31×#102C22semidirect
35. C2×C31×#102C22semidirect
45. C31×#340C22semidirect
46. C31×#340C22semidirect
215. #24007C31direct (N × H)
302. C2×#484C2×C31semidirect
303. C2×#481C2×C31semidirect
304. C2×#380C2×C31semidirect
305. #2035C2×C31semidirect
306. #2033C2×C31semidirect
307. #1874C2×C31semidirect
308. #1872C2×C31semidirect
309. #1854C2×C31semidirect
310. #1788C2×C31semidirect
311. #1779C2×C31semidirect
376. C2×#107C22×C31semidirect
377. C2×#106C22×C31semidirect
378. C2×#103C22×C31semidirect
379. C2×#103C22×C31semidirect
380. C2×#102C22×C31semidirect
381. C2×#102C22×C31semidirect
391. #340C22×C31semidirect
392. #340C22×C31semidirect
475. C31#24007direct (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×#4842
C2×C31×#4812
C2×C31×#3802
C31×#20352
C31×#20332
C31×#18742
C31×#18722
C31×#18542
C31×#17882
C31×#17792
#2400731