Finite Group Databasebeta

← C31×#26686 #21483445

Subgroups — C31×#26686 #21483445

Order 7936.

788 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2423C211yesmaximal, characteristic, complemented
2C31×#2363C211yesmaximal, characteristic
3C31×#2100C211yesmaximal, characteristic, complemented
4C31×#2068C211yesmaximal, characteristic, complemented
5C31×#2033C211yesmaximal, characteristic
6C31×#2000C211yesmaximal, characteristic
7C31×#1936C211yesmaximal, characteristic, complemented
8C31×#1924C211yesmaximal, characteristic, complemented
9C31×#1918C211yesmaximal, characteristic, complemented
10C31×#1880C211yesmaximal, characteristic, complemented
11C31×#1877C211yesmaximal, characteristic, complemented
12C31×#1873C211yesmaximal, characteristic, complemented
13C31×#1825C211yesmaximal, characteristic, complemented
14C31×#1802C211yesmaximal, characteristic, complemented
15C31×#1763C211yesmaximal, characteristic, complemented
16C22×SD16×C31C2211yescharacteristic
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×#121C2211yescharacteristic
19C2×C4×Q8×C31C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C2×C31×#107C2211yescharacteristic
23C2×C31×C4⋊C8C2211yescharacteristic
24C2×C31×#103C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#103C2211yescharacteristic
27C2×C31×#102C2211yescharacteristic
28C2×C31×#102C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C2×C31×#97C2211yescharacteristic
33C31×#399—21no—
34C31×#398—21no—
35C31×#391C2211yescharacteristic
36C31×#390—21no—
37C31×#390C2211yescharacteristic
38C31×#389C2211yescharacteristic
39C31×#389C2211yescharacteristic
40C31×#388—21no—
41C31×#388—21no—
42C31×#387—21no—
43C31×#386—21no—
44C31×#384C2211yescharacteristic
45C31×#380C2211yescharacteristic
46C4×C4⋊C4×C31C2211yescharacteristic
47C4×C22⋊C4×C31—21no—
48C4×C22⋊C4×C31C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31—21no—
61C22×D4×C31C2311yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C2×SD16×C31—22no—
65C2×SD16×C31—22no—
66C2×SD16×C31—41no—
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C31×C22⋊Q8—22no—
72C31×C22⋊Q8—41no—
73C31×#121—22no—
74C31×#121—22no—
75C4×Q8×C31—22no—
76C4×Q8×C31—41no—
77C4×D4×C31—22no—
78C4×D4×C31—41no—
79C31×#117—22no—
80C31×#117—41no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31C2311yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
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×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31D411yescharacteristic
101C2×C22⋊C4×C31D411yescharacteristic
102C2×C42×C31—21no—
103C2×C42×C31—21no—
104C2×C42×C31—21no—
105C2×C42×C31C2311yescharacteristic
106C2×C42×C31C2311yescharacteristic
107C31×#107—22no—
108C31×C4⋊C8—41no—
109C31×#103—22no—
110C31×#103—22no—
111C31×#103—41no—
112C31×#102—22no—
113C31×#102—41no—
114C31×#102—41no—
115C31×C22⋊C8—41no—
116C31×C22⋊C8—41no—
117C31×#97—41no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95D411yescharacteristic
125C31×#95D411yescharacteristic
126C24×C31—21no—
127C24×C31C2×D411yescharacteristic
128C2×Q8×C31—21no—
129C2×Q8×C31—21no—
130C2×Q8×C31—21no—
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31#4112yes—
134C2×D4×C31—24no—
135C2×D4×C31—21no—
136C2×D4×C31—21no—
137C2×D4×C31—21no—
138C2×D4×C31—21no—
139C2×D4×C31—21no—
140C2×D4×C31—81no—
141C2×D4×C31—81no—
142C2×D4×C31#4112yes—
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—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—42no—
157C22×C4×C31—42no—
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×C31C2411yescharacteristic
165SD16×C31—44no—
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×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×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—21no—
188C4⋊C4×C31—42no—
189C4⋊C4×C31—42no—
190C4⋊C4×C31—42no—
191C4⋊C4×C31—81no—
192C4⋊C4×C31—81no—
193C4⋊C4×C31—81no—
194C4⋊C4×C31#4112yes—
195C4⋊C4×C31#4112yes—
196C22⋊C4×C31—24no—
197C22⋊C4×C31—22no—
198C22⋊C4×C31—41no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—81no—
204C22⋊C4×C31—81no—
205C42×C31—21no—
206C42×C31—21no—
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—42no—
210C42×C31—42no—
211C42×C31—81no—
212#26686C3111yesmaximal, characteristic, direct product factor, Sylow
213C23×C31—22no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31C22×D411yescharacteristic
228Q8×C31—22no—
229Q8×C31—22no—
230Q8×C31—41no—
231Q8×C31—41no—
232D4×C31—22no—
233D4×C31—22no—
234D4×C31—41no—
235D4×C31—41no—
236D4×C31—84no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—22no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—22no—
246C2×C4×C31—22no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
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—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—84no—
277C2×C4×C31#13712yes—
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31C2×#4111yescharacteristic
281C2×C4×C31C2×#4111yescharacteristic
282C2×C4×C31H(5,𝔽2)11yescharacteristic
283C2×C4×C31H(5,𝔽2)11yescharacteristic
284C8×C31—41no—
285C8×C31—41no—
286C8×C31—41no—
287C8×C31—41no—
288#2423C2×C3111yescharacteristic, complemented
289#2363C2×C3111yescharacteristic
290#2100C2×C3111yescharacteristic, complemented
291#2068C2×C3111yescharacteristic, complemented
292#2033C2×C3111yescharacteristic
293#2000C2×C3111yescharacteristic
294#1936C2×C3111yescharacteristic, complemented
295#1924C2×C3111yescharacteristic, complemented
296#1918C2×C3111yescharacteristic, complemented
297#1880C2×C3111yescharacteristic, complemented
298#1877C2×C3111yescharacteristic, complemented
299#1873C2×C3111yescharacteristic, complemented
300#1825C2×C3111yescharacteristic, complemented
301#1802C2×C3111yescharacteristic, complemented
302#1763C2×C3111yescharacteristic, complemented
303C22×C31—41no—
304C22×C31—41no—
305C22×C31—42no—
306C22×C31—41no—
307C22×C31—42no—
308C22×C31—41no—
309C22×C31—42no—
310C22×C31—41no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31#52511yescharacteristic
318C22×C31#54611yescharacteristic
319C22×C31#54611yescharacteristic
320C22×C31C2×#13711yescharacteristic
321C22×C31#57511yescharacteristic
322C22×C31#57611yescharacteristic
323C22×C31#57711yescharacteristic
324C4×C31—22no—
325C4×C31—41no—
326C4×C31—42no—
327C4×C31—41no—
328C4×C31—42no—
329C4×C31—41no—
330C4×C31—42no—
331C4×C31—41no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31#52911yescharacteristic
337C4×C31#54011yescharacteristic
338C4×C31#55111yescharacteristic
339C4×C31#55311yescharacteristic
340C22×SD16C22×C3111yescharacteristic
341C2×C22⋊Q8C22×C3111yescharacteristic
342C2×#121C22×C3111yescharacteristic
343C2×C4×Q8C22×C3111yescharacteristic
344C2×C4×D4C22×C3111yescharacteristic
345C2×#117C22×C3111yescharacteristic
346C2×#107C22×C3111yescharacteristic
347C2×C4⋊C8C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×#103C22×C3111yescharacteristic
351C2×#102C22×C3111yescharacteristic
352C2×#102C22×C3111yescharacteristic
353C2×#102C22×C3111yescharacteristic
354C2×C22⋊C8C22×C3111yescharacteristic
355C2×C22⋊C8C22×C3111yescharacteristic
356C2×#97C22×C3111yescharacteristic
357#399—21no—
358#398—21no—
359#391C22×C3111yescharacteristic
360#390—21no—
361#390C22×C3111yescharacteristic
362#389C22×C3111yescharacteristic
363#389C22×C3111yescharacteristic
364#388—21no—
365#388—21no—
366#387—21no—
367#386—21no—
368#384C22×C3111yescharacteristic
369#380C22×C3111yescharacteristic
370C4×C4⋊C4C22×C3111yescharacteristic
371C4×C22⋊C4—21no—
372C4×C22⋊C4C22×C3111yescharacteristic
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#336C22×C3111yescharacteristic
382#336C22×C3111yescharacteristic
383C2×C31—81no—
384C2×C31—82no—
385C2×C31#245711yescharacteristic
386C2×C31#311611yescharacteristic
387C2×C31#311811yescharacteristic
388C2×C31#330911yescharacteristic
389C2×C31#331411yescharacteristic
390C2×C31#331711yescharacteristic
391C2×C31#332911yescharacteristic
392C22×Q8C23×C3111yescharacteristic
393C22×D4—21no—
394C22×D4C23×C3111yescharacteristic
395C23×C4—21no—
396C23×C4C23×C3111yescharacteristic
397C2×SD16—22no—
398C2×SD16—22no—
399C2×SD16—41no—
400C22×C8C23×C3111yescharacteristic
401C22×C8C23×C3111yescharacteristic
402C22×C8C23×C3111yescharacteristic
403C22×C8C23×C3111yescharacteristic
404C22⋊Q8—22no—
405C22⋊Q8—41no—
406#121—22no—
407#121—22no—
408C4×Q8—22no—
409C4×Q8—41no—
410C4×D4—22no—
411C4×D4—41no—
412#117—22no—
413#117—41no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4C23×C3111yescharacteristic
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C4⋊C4C23×C3111yescharacteristic
423C2×C4⋊C4C23×C3111yescharacteristic
424C2×C4⋊C4C23×C3111yescharacteristic
425C2×C4⋊C4C23×C3111yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4D4×C3111yescharacteristic
434C2×C22⋊C4D4×C3111yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C3111yescharacteristic
439C2×C42C23×C3111yescharacteristic
440#107—22no—
441C4⋊C8—41no—
442#103—22no—
443#103—22no—
444#103—41no—
445#102—22no—
446#102—41no—
447#102—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450#97—41no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95D4×C3111yescharacteristic
458#95D4×C3111yescharacteristic
459C31#2668611yescharacteristic, direct product factor, Sylow
460C24—21no—
461C24C2×D4×C3111yescharacteristic
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8#41×C3112yes—
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4#41×C3112yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4C2×D4×C3111yescharacteristic
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4C2×D4×C3111yescharacteristic
496C22×C4C2×D4×C3111yescharacteristic
497C22×C4C2×D4×C3111yescharacteristic
498C22×C4C24×C3111yescharacteristic
499SD16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4#41×C3112yes—
529C4⋊C4#41×C3112yes—
530C22⋊C4—24no—
531C22⋊C4—22no—
532C22⋊C4—41no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—42no—
545C42—81no—
546C23—22no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23C22×D4×C3111yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—22no—
566D4—22no—
567D4—41no—
568D4—41no—
569D4—84no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
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×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4C31×#13712yes—
611C2×C4C2×#41×C3111yescharacteristic
612C2×C4C2×#41×C3111yescharacteristic
613C2×C4C2×#41×C3111yescharacteristic
614C2×C4C2×#41×C3111yescharacteristic
615C2×C4C31×H(5,𝔽2)11yescharacteristic
616C2×C4C31×H(5,𝔽2)11yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—41no—
622C22—42no—
623C22—41no—
624C22—42no—
625C22—41no—
626C22—42no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22C31×#52511yescharacteristic
636C22C31×#54611yescharacteristic
637C22C31×#54611yescharacteristic
638C22C2×C31×#13711yescharacteristic
639C22C31×#57511yescharacteristic
640C22C31×#57611yescharacteristic
641C22C31×#57711yescharacteristic
642C4—22no—
643C4—42no—
644C4—41no—
645C4—42no—
646C4—41no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C31×#52911yescharacteristic
655C4C31×#54011yescharacteristic
656C4C31×#55111yescharacteristic
657C4C31×#55311yescharacteristic
658C2—81no—
659C2—82no—
660C2C31×#245711yescharacteristic
661C2C31×#311611yescharacteristic
662C2C31×#311811yescharacteristic
663C2C31×#330911yescharacteristic
664C2C31×#331411yescharacteristic
665C2C31×#331711yescharacteristic
666C2C31×#332911yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
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. C31×#2423C2semidirect
3. C31×#2100C2semidirect
4. C31×#2068C2semidirect
7. C31×#1936C2semidirect
8. C31×#1924C2semidirect
9. C31×#1918C2semidirect
10. C31×#1880C2semidirect
11. C31×#1877C2semidirect
12. C31×#1873C2semidirect
13. C31×#1825C2semidirect
14. C31×#1802C2semidirect
15. C31×#1763C2semidirect
212. #26686C31direct (N × H)
288. #2423C2×C31semidirect
290. #2100C2×C31semidirect
291. #2068C2×C31semidirect
294. #1936C2×C31semidirect
295. #1924C2×C31semidirect
296. #1918C2×C31semidirect
297. #1880C2×C31semidirect
298. #1877C2×C31semidirect
299. #1873C2×C31semidirect
300. #1825C2×C31semidirect
301. #1802C2×C31semidirect
302. #1763C2×C31semidirect
459. C31#26686direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24232
C31×#23632
C31×#21002
C31×#20682
C31×#20332
C31×#20002
C31×#19362
C31×#19242
C31×#19182
C31×#18802
C31×#18772
C31×#18732
C31×#18252
C31×#18022
C31×#17632
#2668631