Finite Group Databasebeta

← C31×#24610 #21481369

Subgroups — C31×#24610 #21481369

Order 7936.

850 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#482C211yesmaximal, characteristic
2C2×C31×#432C211yesmaximal, characteristic, complemented
3C31×#2854C211yesmaximal, characteristic
4C31×#2296C211yesmaximal, characteristic, complemented
5C31×#2088C211yesmaximal, characteristic, complemented
6C31×#2086C211yesmaximal, characteristic, complemented
7C31×#2067C211yesmaximal, characteristic, complemented
8C31×#2065C211yesmaximal, characteristic, complemented
9C31×#1944C211yesmaximal, characteristic, complemented
10C31×#1943C211yesmaximal, characteristic, complemented
11C31×#1936C211yesmaximal, characteristic, complemented
12C31×#1936C211yesmaximal, characteristic, complemented
13C31×#1875C211yesmaximal, characteristic
14C31×#1854C211yesmaximal, characteristic, complemented
15C31×#1825C211yesmaximal, characteristic, complemented
16C2×C31×#123—21no—
17C2×C31×#121C2211yescharacteristic
18C2×C31×#117C2211yescharacteristic
19C2×C31×#117C2211yescharacteristic
20C22×C42×C31C2211yescharacteristic
21C31×#482—24no—
22C31×#432—24no—
23C2×C31×#107C2211yescharacteristic
24C2×C31×#107C2211yescharacteristic
25C2×C31×#106C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×C4⋊C8C2211yescharacteristic
28C2×C31×C4⋊C8C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×#102C2211yescharacteristic
31C2×C31×#102C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×C22⋊C8C2211yescharacteristic
34C2×C31×C22⋊C8C2211yescharacteristic
35C2×C31×#97C2211yescharacteristic
36C2×C31×#97C2211yescharacteristic
37C31×#390C2211yescharacteristic
38C31×#390C2211yescharacteristic
39C31×#389C2211yescharacteristic
40C31×#389C2211yescharacteristic
41C31×#389C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#388—21no—
46C31×#388—21no—
47C31×#386—21no—
48C31×#385—21no—
49C31×#385—21no—
50C31×#380C2211yescharacteristic
51C4×C4⋊C4×C31—21no—
52C4×C4⋊C4×C31—21no—
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#340C2211yescharacteristic
60C31×#340C2211yescharacteristic
61C22×D4×C31—21no—
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31D411yescharacteristic
64C23×C4×C31D411yescharacteristic
65C23×C4×C31C2311yescharacteristic
66C22×C8×C31C2311yescharacteristic
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C31×#123—44no—
71C31×#121—22no—
72C31×#121—22no—
73C31×#117—22no—
74C31×#117—22no—
75C31×#117—22no—
76C31×#117—22no—
77C2×C4⋊C4×C31—21no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—21no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31C2311yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2311yescharacteristic
87C2×C4⋊C4×C31C2311yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C22⋊C4×C31—21no—
91C2×C22⋊C4×C31—21no—
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—21no—
98C2×C42×C31—22no—
99C2×C42×C31—21no—
100C2×C42×C31—22no—
101C2×C42×C31—21no—
102C2×C42×C31D411yescharacteristic
103C2×C42×C31D411yescharacteristic
104C2×C42×C31C2311yescharacteristic
105C2×C42×C31C2311yescharacteristic
106C31×#107—22no—
107C31×#107—22no—
108C31×#106—22no—
109C31×#106—22no—
110C31×C4⋊C8—22no—
111C31×C4⋊C8—22no—
112C31×#102—22no—
113C31×#102—22no—
114C31×#102—22no—
115C31×#102—22no—
116C31×C22⋊C8—22no—
117C31×C22⋊C8D414yes—
118C31×#97—22no—
119C31×#97—22no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C24×C31—21no—
128C24×C31C2×D411yescharacteristic
129C2×D4×C31—21no—
130C2×D4×C31—21no—
131C2×D4×C31—21no—
132C2×D4×C31—21no—
133C2×D4×C31—21no—
134C2×D4×C31—21no—
135C2×D4×C31—42no—
136C2×D4×C31—42no—
137C2×D4×C31—42no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—22no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—41no—
153C22×C4×C31—41no—
154C22×C4×C31—41no—
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2×D411yescharacteristic
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D412yes—
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31#4112yes—
162C22×C4×C31C2411yescharacteristic
163C2×C8×C31—21no—
164C2×C8×C31—21no—
165C2×C8×C31—21no—
166C2×C8×C31—21no—
167C2×C8×C31—21no—
168C2×C8×C31—21no—
169C2×C8×C31—21no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
172C2×C8×C31—21no—
173C2×C8×C31C2×D412yes—
174C2×C8×C31C2×D412yes—
175C4⋊C4×C31—21no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—21no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—21no—
182C4⋊C4×C31—21no—
183C4⋊C4×C31—21no—
184C4⋊C4×C31—21no—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—42no—
188C4⋊C4×C31—42no—
189C4⋊C4×C31—42no—
190C4⋊C4×C31—42no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31#4112yes—
194C4⋊C4×C31#4112yes—
195C22⋊C4×C31—24no—
196C22⋊C4×C31—42no—
197C22⋊C4×C31—42no—
198C22⋊C4×C31—42no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C42×C31—24no—
204C42×C31—22no—
205C42×C31—22no—
206C42×C31—21no—
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—42no—
211#24610C3111yesmaximal, characteristic, direct product factor, Sylow
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—41no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31#12112yes—
226C23×C31C22×D411yescharacteristic
227D4×C31—41no—
228D4×C31—41no—
229D4×C31—41no—
230D4×C31—41no—
231D4×C31—84no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—44no—
252C2×C4×C31—44no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—41no—
271C2×C4×C31—41no—
272C2×C4×C31#12112yes—
273C2×C4×C31AGL(1,ℤ/8)12yes—
274C2×C4×C31C22×D411yescharacteristic
275C2×C4×C31C2×#4111yescharacteristic
276C2×C4×C31C2×#4111yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C312−1+411yescharacteristic
279C2×C4×C312−1+411yescharacteristic
280C8×C31—22no—
281C8×C31—22no—
282C8×C31—41no—
283C8×C31—41no—
284C2×#482C2×C3111yescharacteristic
285C2×#432C2×C3111yescharacteristic, complemented
286#2854C2×C3111yescharacteristic
287#2296C2×C3111yescharacteristic, complemented
288#2088C2×C3111yescharacteristic, complemented
289#2086C2×C3111yescharacteristic, complemented
290#2067C2×C3111yescharacteristic, complemented
291#2065C2×C3111yescharacteristic, complemented
292#1944C2×C3111yescharacteristic, complemented
293#1943C2×C3111yescharacteristic, complemented
294#1936C2×C3111yescharacteristic, complemented
295#1936C2×C3111yescharacteristic, complemented
296#1875C2×C3111yescharacteristic
297#1854C2×C3111yescharacteristic, complemented
298#1825C2×C3111yescharacteristic, complemented
299C22×C31—22no—
300C22×C31—22no—
301C22×C31—22no—
302C22×C31—41no—
303C22×C31—41no—
304C22×C31—41no—
305C22×C31—41no—
306C22×C31—81no—
307C22×C31—81no—
308C22×C31—81no—
309C22×C31—81no—
310C22×C31—81no—
311C22×C31—81no—
312C22×C31—81no—
313C22×C31C2×#12111yescharacteristic
314C22×C31#52511yescharacteristic
315C22×C31#53611yescharacteristic
316C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
317C22×C31#57511yescharacteristic
318C22×C31#57511yescharacteristic
319C22×C31#57511yescharacteristic
320C4×C31—22no—
321C4×C31—22no—
322C4×C31—42no—
323C4×C31—42no—
324C4×C31—41no—
325C4×C31—41no—
326C4×C31—41no—
327C4×C31—81no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31#54711yescharacteristic
333C4×C31#54711yescharacteristic
334C4×C31#55211yescharacteristic
335C4×C31#55211yescharacteristic
336C2×#123—21no—
337C2×#121C22×C3111yescharacteristic
338C2×#117C22×C3111yescharacteristic
339C2×#117C22×C3111yescharacteristic
340C22×C42C22×C3111yescharacteristic
341#482—24no—
342#432—24no—
343C2×#107C22×C3111yescharacteristic
344C2×#107C22×C3111yescharacteristic
345C2×#106C22×C3111yescharacteristic
346C2×#106C22×C3111yescharacteristic
347C2×C4⋊C8C22×C3111yescharacteristic
348C2×C4⋊C8C22×C3111yescharacteristic
349C2×#102C22×C3111yescharacteristic
350C2×#102C22×C3111yescharacteristic
351C2×#102C22×C3111yescharacteristic
352C2×#102C22×C3111yescharacteristic
353C2×C22⋊C8C22×C3111yescharacteristic
354C2×C22⋊C8C22×C3111yescharacteristic
355C2×#97C22×C3111yescharacteristic
356C2×#97C22×C3111yescharacteristic
357#390C22×C3111yescharacteristic
358#390C22×C3111yescharacteristic
359#389C22×C3111yescharacteristic
360#389C22×C3111yescharacteristic
361#389C22×C3111yescharacteristic
362#389C22×C3111yescharacteristic
363#389C22×C3111yescharacteristic
364#389C22×C3111yescharacteristic
365#388—21no—
366#388—21no—
367#386—21no—
368#385—21no—
369#385—21no—
370#380C22×C3111yescharacteristic
371C4×C4⋊C4—21no—
372C4×C4⋊C4—21no—
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381C2×C31—42no—
382C2×C31—161no—
383C2×C31#241311yescharacteristic
384C2×C31#305411yescharacteristic
385C2×C31#305511yescharacteristic
386C2×C31#311111yescharacteristic
387C2×C31#311511yescharacteristic
388C2×C31#323511yescharacteristic
389C2×C31#324011yescharacteristic
390C22×D4—21no—
391C22×D4C23×C3111yescharacteristic
392C23×C4D4×C3111yescharacteristic
393C23×C4D4×C3111yescharacteristic
394C23×C4C23×C3111yescharacteristic
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C22×C8C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399#123—44no—
400#121—22no—
401#121—22no—
402#117—22no—
403#117—22no—
404#117—22no—
405#117—22no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C4⋊C4C23×C3111yescharacteristic
414C2×C4⋊C4C23×C3111yescharacteristic
415C2×C4⋊C4C23×C3111yescharacteristic
416C2×C4⋊C4C23×C3111yescharacteristic
417C2×C4⋊C4C23×C3111yescharacteristic
418C2×C4⋊C4C23×C3111yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C42—21no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42D4×C3111yescharacteristic
432C2×C42D4×C3111yescharacteristic
433C2×C42C23×C3111yescharacteristic
434C2×C42C23×C3111yescharacteristic
435#107—22no—
436#107—22no—
437#106—22no—
438#106—22no—
439C4⋊C8—22no—
440C4⋊C8—22no—
441#102—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445C22⋊C8—22no—
446C22⋊C8D4×C3114yes—
447#97—22no—
448#97—22no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456C31#2461011yescharacteristic, direct product factor, Sylow
457C24—21no—
458C24C2×D4×C3111yescharacteristic
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4C2×D4×C3111yescharacteristic
486C22×C4C2×D4×C3111yescharacteristic
487C22×C4C2×D4×C3111yescharacteristic
488C22×C4C2×D4×C3111yescharacteristic
489C22×C4C2×D4×C3112yes—
490C22×C4C2×D4×C3111yescharacteristic
491C22×C4#41×C3112yes—
492C22×C4C24×C3111yescharacteristic
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8C2×D4×C3112yes—
504C2×C8C2×D4×C3112yes—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4#41×C3112yes—
524C4⋊C4#41×C3112yes—
525C22⋊C4—24no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C42—24no—
534C42—22no—
535C42—22no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23C31×#12112yes—
555C23C22×D4×C3111yescharacteristic
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—84no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—44no—
581C2×C4—44no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4C31×#12112yes—
602C2×C4C31×AGL(1,ℤ/8)12yes—
603C2×C4C22×D4×C3111yescharacteristic
604C2×C4C2×#41×C3111yescharacteristic
605C2×C4C2×#41×C3111yescharacteristic
606C2×C4C2×#41×C3111yescharacteristic
607C2×C4C31×2−1+411yescharacteristic
608C2×C4C31×2−1+411yescharacteristic
609C8—22no—
610C8—22no—
611C8—41no—
612C8—41no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22C2×C31×#12111yescharacteristic
628C22C31×#52511yescharacteristic
629C22C31×#53611yescharacteristic
630C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
631C22C31×#57511yescharacteristic
632C22C31×#57511yescharacteristic
633C22C31×#57511yescharacteristic
634C4—22no—
635C4—22no—
636C4—42no—
637C4—42no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C31×#54711yescharacteristic
647C4C31×#54711yescharacteristic
648C4C31×#55211yescharacteristic
649C4C31×#55211yescharacteristic
650C2—42no—
651C2—161no—
652C2C31×#241311yescharacteristic
653C2C31×#305411yescharacteristic
654C2C31×#305511yescharacteristic
655C2C31×#311111yescharacteristic
656C2C31×#311511yescharacteristic
657C2C31×#323511yescharacteristic
658C2C31×#324011yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#432C2semidirect
4. C31×#2296C2semidirect
5. C31×#2088C2semidirect
6. C31×#2086C2semidirect
7. C31×#2067C2semidirect
8. C31×#2065C2semidirect
9. C31×#1944C2semidirect
10. C31×#1943C2semidirect
11. C31×#1936C2semidirect
12. C31×#1936C2semidirect
14. C31×#1854C2semidirect
15. C31×#1825C2semidirect
211. #24610C31direct (N × H)
285. C2×#432C2×C31semidirect
287. #2296C2×C31semidirect
288. #2088C2×C31semidirect
289. #2086C2×C31semidirect
290. #2067C2×C31semidirect
291. #2065C2×C31semidirect
292. #1944C2×C31semidirect
293. #1943C2×C31semidirect
294. #1936C2×C31semidirect
295. #1936C2×C31semidirect
297. #1854C2×C31semidirect
298. #1825C2×C31semidirect
456. C31#24610direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4822
C2×C31×#4322
C31×#28542
C31×#22962
C31×#20882
C31×#20862
C31×#20672
C31×#20652
C31×#19442
C31×#19432
C31×#19362
C31×#18752
C31×#18542
C31×#18252
#2461031