Finite Group Databasebeta

← C31×#26340 #21483099

Subgroups — C31×#26340 #21483099

Order 7936.

882 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#475C211yesmaximal, characteristic, complemented
2C22×C31×#106C211yesmaximal, characteristic
3C31×#2440C211yesmaximal, characteristic
4C31×#2360C211yesmaximal, characteristic
5C31×#2096C211yesmaximal, characteristic, complemented
6C31×#2088C211yesmaximal, characteristic, complemented
7C31×#2066C211yesmaximal, characteristic, complemented
8C31×#2058C211yesmaximal, characteristic, complemented
9C31×#1948C211yesmaximal, characteristic, complemented
10C31×#1919C211yesmaximal, characteristic, complemented
11C31×#1892C211yesmaximal, characteristic
12C31×#1872C211yesmaximal, characteristic
13C31×#1865C211yesmaximal, characteristic, complemented
14C31×#1853C211yesmaximal, characteristic
15C31×#1850C211yesmaximal, characteristic
16C23×C8×C31C2211yescharacteristic
17C2×C31×C4⋊Q8C2211yescharacteristic
18C2×C31×C22⋊Q8—21no—
19C2×C31×C22⋊Q8C2211yescharacteristic
20C2×C4×Q8×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C31×#475—24no—
24C2×C31×#106—24no—
25C2×C31×#106C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×#106C2211yescharacteristic
30C2×C31×#106C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×C4⋊C8C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#103C2211yescharacteristic
36C2×C31×#103C2211yescharacteristic
37C2×C31×C22⋊C8C2211yescharacteristic
38C31×#398—21no—
39C31×#395—21no—
40C31×#391C2211yescharacteristic
41C31×#389—21no—
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#387—21no—
46C31×#385—21no—
47C31×#385—21no—
48C31×#384C2211yescharacteristic
49C31×#380C2211yescharacteristic
50C4×C4⋊C4×C31C2211yescharacteristic
51C4×C22⋊C4×C31—21no—
52C4×C22⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31—21no—
62C22×Q8×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31—21no—
65C23×C4×C31C2311yescharacteristic
66C22×C8×C31—22no—
67C22×C8×C31—22no—
68C22×C8×C31—22no—
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C31×C4⋊Q8—22no—
74C31×C4⋊Q8—41no—
75C31×C22⋊Q8—22no—
76C31×C22⋊Q8—44no—
77C31×C22⋊Q8Q814yescomplemented
78C4×Q8×C31—22no—
79C4×Q8×C31—41no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—22no—
82C2×C4⋊C4×C31—22no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—41no—
93C2×C4⋊C4×C31—41no—
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31C2311yescharacteristic
108C2×C42×C31C2311yescharacteristic
109C31×#106—22no—
110C31×#106—22no—
111C31×#106—22no—
112C31×#106—22no—
113C31×#106—41no—
114C31×#106D414yes—
115C31×C4⋊C8—22no—
116C31×C4⋊C8—22no—
117C31×#103—22no—
118C31×#103—22no—
119C31×#103—22no—
120C31×#103—41no—
121C31×C22⋊C8—22no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95D411yescharacteristic
130C31×#95D411yescharacteristic
131C24×C31C2×D411yescharacteristic
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—42no—
138C2×Q8×C31—42no—
139C2×Q8×C31—81no—
140C2×Q8×C31C2×Q812yes—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—42no—
154C22×C4×C31—42no—
155C22×C4×C31—42no—
156C22×C4×C31—42no—
157C22×C4×C31—81no—
158C22×C4×C31—81no—
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×Q812yes—
165C22×C4×C31#4112yes—
166C22×C4×C31C2411yescharacteristic
167C2×C8×C31—28no—
168C2×C8×C31—21no—
169C2×C8×C31—21no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
172C2×C8×C31—21no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—21no—
178C2×C8×C31C2×D412yes—
179C2×C8×C31#4112yes—
180C4⋊C4×C31—24no—
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—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—42no—
199C4⋊C4×C31—81no—
200C4⋊C4×C31—81no—
201C4⋊C4×C31C2×D412yes—
202C4⋊C4×C31C2×D412yes—
203C4⋊C4×C31C2×Q812yes—
204C22⋊C4×C31—24no—
205C22⋊C4×C31—22no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31SD1614yes—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—42no—
213C42×C31—81no—
214#26340C3111yesmaximal, characteristic, direct product factor, Sylow
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31C22⋊Q812yes—
220C23×C31C2×SD1612yes—
221C23×C31#13712yes—
222C23×C31C22×D411yescharacteristic
223Q8×C31—22no—
224Q8×C31—22no—
225Q8×C31—41no—
226Q8×C31—41no—
227Q8×C31—84no—
228C2×C4×C31—21no—
229C2×C4×C31—21no—
230C2×C4×C31—21no—
231C2×C4×C31—21no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—41no—
249C2×C4×C31—41no—
250C2×C4×C31—41no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
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—84no—
269C2×C4×C31—84no—
270C2×C4×C31C22⋊Q812yes—
271C2×C4×C31C2×SD1612yes—
272C2×C4×C31C2×SD1612yes—
273C2×C4×C31C22×D411yescharacteristic
274C2×C4×C31C22×Q811yescharacteristic
275C2×C4×C31C2×#4111yescharacteristic
276C2×C4×C31C2×#4111yescharacteristic
277C2×C4×C31H(5,𝔽2)11yescharacteristic
278C2×C4×C312−1+411yescharacteristic
279C8×C31—22no—
280C8×C31—22no—
281C8×C31—41no—
282C8×C31—41no—
283C2×#475C2×C3111yescharacteristic, complemented
284C22×#106C2×C3111yescharacteristic
285#2440C2×C3111yescharacteristic
286#2360C2×C3111yescharacteristic
287#2096C2×C3111yescharacteristic, complemented
288#2088C2×C3111yescharacteristic, complemented
289#2066C2×C3111yescharacteristic, complemented
290#2058C2×C3111yescharacteristic, complemented
291#1948C2×C3111yescharacteristic, complemented
292#1919C2×C3111yescharacteristic, complemented
293#1892C2×C3111yescharacteristic
294#1872C2×C3111yescharacteristic
295#1865C2×C3111yescharacteristic, complemented
296#1853C2×C3111yescharacteristic
297#1850C2×C3111yescharacteristic
298C22×C31—22no—
299C22×C31—22no—
300C22×C31—22no—
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31#47514yescomplemented
305C22×C31C2×C22⋊Q811yescharacteristic
306C22×C31D4211yescharacteristic
307C22×C31#54711yescharacteristic
308C22×C31C22×SD1611yescharacteristic
309C22×C31C2×#13711yescharacteristic
310C22×C31#57711yescharacteristic
311C22×C31#57711yescharacteristic
312C4×C31—22no—
313C4×C31—22no—
314C4×C31—22no—
315C4×C31—42no—
316C4×C31—41no—
317C4×C31—42no—
318C4×C31—41no—
319C4×C31—42no—
320C4×C31—42no—
321C4×C31—81no—
322C4×C31—81no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31#52511yescharacteristic
326C4×C31#53911yescharacteristic
327C4×C31D4×Q811yescharacteristic
328C4×C31#55411yescharacteristic
329C23×C8C22×C3111yescharacteristic
330C2×C4⋊Q8C22×C3111yescharacteristic
331C2×C22⋊Q8—21no—
332C2×C22⋊Q8C22×C3111yescharacteristic
333C2×C4×Q8C22×C3111yescharacteristic
334C22×C4⋊C4C22×C3111yescharacteristic
335C22×C4⋊C4C22×C3111yescharacteristic
336#475—24no—
337C2×#106—24no—
338C2×#106C22×C3111yescharacteristic
339C2×#106C22×C3111yescharacteristic
340C2×#106C22×C3111yescharacteristic
341C2×#106C22×C3111yescharacteristic
342C2×#106C22×C3111yescharacteristic
343C2×#106C22×C3111yescharacteristic
344C2×C4⋊C8C22×C3111yescharacteristic
345C2×C4⋊C8C22×C3111yescharacteristic
346C2×#103C22×C3111yescharacteristic
347C2×#103C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×C22⋊C8C22×C3111yescharacteristic
351#398—21no—
352#395—21no—
353#391C22×C3111yescharacteristic
354#389—21no—
355#389C22×C3111yescharacteristic
356#389C22×C3111yescharacteristic
357#389C22×C3111yescharacteristic
358#387—21no—
359#385—21no—
360#385—21no—
361#384C22×C3111yescharacteristic
362#380C22×C3111yescharacteristic
363C4×C4⋊C4C22×C3111yescharacteristic
364C4×C22⋊C4—21no—
365C4×C22⋊C4C22×C3111yescharacteristic
366#340C22×C3111yescharacteristic
367#340C22×C3111yescharacteristic
368#340C22×C3111yescharacteristic
369#340C22×C3111yescharacteristic
370#340C22×C3111yescharacteristic
371#340C22×C3111yescharacteristic
372#336C22×C3111yescharacteristic
373#336C22×C3111yescharacteristic
374C2×C31—24no—
375C2×C31#244911yescharacteristic
376C2×C31C2×#47511yescharacteristic
377C2×C31#308411yescharacteristic
378C2×C31#326611yescharacteristic
379C2×C31D4×SD1611yescharacteristic
380C2×C31#333511yescharacteristic
381C2×C31#334411yescharacteristic
382C22×Q8—21no—
383C22×Q8C23×C3111yescharacteristic
384C23×C4—21no—
385C23×C4—21no—
386C23×C4C23×C3111yescharacteristic
387C22×C8—22no—
388C22×C8—22no—
389C22×C8—22no—
390C22×C8C23×C3111yescharacteristic
391C22×C8C23×C3111yescharacteristic
392C22×C8C23×C3111yescharacteristic
393C22×C8C23×C3111yescharacteristic
394C4⋊Q8—22no—
395C4⋊Q8—41no—
396C22⋊Q8—22no—
397C22⋊Q8—44no—
398C22⋊Q8Q8×C3114yescomplemented
399C4×Q8—22no—
400C4×Q8—41no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
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⋊C4—21no—
413C2×C4⋊C4—41no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4C23×C3111yescharacteristic
416C2×C4⋊C4C23×C3111yescharacteristic
417C2×C4⋊C4C23×C3111yescharacteristic
418C2×C4⋊C4C23×C3111yescharacteristic
419C2×C4⋊C4C23×C3111yescharacteristic
420C2×C4⋊C4C23×C3111yescharacteristic
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4D4×C3111yescharacteristic
425C2×C22⋊C4D4×C3111yescharacteristic
426C2×C42—21no—
427C2×C42—21no—
428C2×C42C23×C3111yescharacteristic
429C2×C42C23×C3111yescharacteristic
430#106—22no—
431#106—22no—
432#106—22no—
433#106—22no—
434#106—41no—
435#106D4×C3114yes—
436C4⋊C8—22no—
437C4⋊C8—22no—
438#103—22no—
439#103—22no—
440#103—22no—
441#103—41no—
442C22⋊C8—22no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95D4×C3111yescharacteristic
451#95D4×C3111yescharacteristic
452C31#2634011yescharacteristic, direct product factor, Sylow
453C24C2×D4×C3111yescharacteristic
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×Q8C2×Q8×C3112yes—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4C2×D4×C3111yescharacteristic
482C22×C4C2×D4×C3111yescharacteristic
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4C2×D4×C3111yescharacteristic
485C22×C4C2×D4×C3111yescharacteristic
486C22×C4C2×Q8×C3112yes—
487C22×C4#41×C3112yes—
488C22×C4C24×C3111yescharacteristic
489C2×C8—28no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8C2×D4×C3112yes—
501C2×C8#41×C3112yes—
502C4⋊C4—24no—
503C4⋊C4—21no—
504C4⋊C4—21no—
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—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4C2×D4×C3112yes—
524C4⋊C4C2×D4×C3112yes—
525C4⋊C4C2×Q8×C3112yes—
526C22⋊C4—24no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4SD16×C3114yes—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—81no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23C31×C22⋊Q812yes—
541C23C2×SD16×C3112yes—
542C23C31×#13712yes—
543C23C22×D4×C3111yescharacteristic
544Q8—22no—
545Q8—22no—
546Q8—41no—
547Q8—41no—
548Q8—84no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—84no—
590C2×C4—84no—
591C2×C4C31×C22⋊Q812yes—
592C2×C4C2×SD16×C3112yes—
593C2×C4C2×SD16×C3112yes—
594C2×C4C22×D4×C3111yescharacteristic
595C2×C4C22×Q8×C3111yescharacteristic
596C2×C4C2×#41×C3111yescharacteristic
597C2×C4C2×#41×C3111yescharacteristic
598C2×C4C31×H(5,𝔽2)11yescharacteristic
599C2×C4C31×2−1+411yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22C31×#47514yescomplemented
611C22C2×C31×C22⋊Q811yescharacteristic
612C22D42×C3111yescharacteristic
613C22C31×#54711yescharacteristic
614C22C22×SD16×C3111yescharacteristic
615C22C2×C31×#13711yescharacteristic
616C22C31×#57711yescharacteristic
617C22C31×#57711yescharacteristic
618C4—22no—
619C4—22no—
620C4—22no—
621C4—42no—
622C4—41no—
623C4—42no—
624C4—41no—
625C4—42no—
626C4—42no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C31×#52511yescharacteristic
632C4C31×#53911yescharacteristic
633C4D4×Q8×C3111yescharacteristic
634C4C31×#55411yescharacteristic
635C2—24no—
636C2C31×#244911yescharacteristic
637C2C2×C31×#47511yescharacteristic
638C2C31×#308411yescharacteristic
639C2C31×#326611yescharacteristic
640C2D4×SD16×C3111yescharacteristic
641C2C31×#333511yescharacteristic
642C2C31×#334411yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC24×C31C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C22⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#475C2semidirect
5. C31×#2096C2semidirect
6. C31×#2088C2semidirect
7. C31×#2066C2semidirect
8. C31×#2058C2semidirect
9. C31×#1948C2semidirect
10. C31×#1919C2semidirect
13. C31×#1865C2semidirect
77. C31×C22⋊Q8Q8semidirect
214. #26340C31direct (N × H)
283. C2×#475C2×C31semidirect
287. #2096C2×C31semidirect
288. #2088C2×C31semidirect
289. #2066C2×C31semidirect
290. #2058C2×C31semidirect
291. #1948C2×C31semidirect
292. #1919C2×C31semidirect
295. #1865C2×C31semidirect
304. C22×C31#475semidirect
398. C22⋊Q8Q8×C31semidirect
452. C31#26340direct (N × H)
610. C22C31×#475semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#4752
C22×C31×#1062
C31×#24402
C31×#23602
C31×#20962
C31×#20882
C31×#20662
C31×#20582
C31×#19482
C31×#19192
C31×#18922
C31×#18722
C31×#18652
C31×#18532
C31×#18502
#2634031