Finite Group Databasebeta

← C31×#26606 #21483365

Subgroups — C31×#26606 #21483365

Order 7936.

852 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#464C211yesmaximal, characteristic
2C2×C31×#441C211yesmaximal, characteristic, complemented
3C31×#2448C211yesmaximal, characteristic
4C31×#2365C211yesmaximal, characteristic, complemented
5C31×#2068C211yesmaximal, characteristic, complemented
6C31×#2016C211yesmaximal, characteristic, complemented
7C31×#2015C211yesmaximal, characteristic
8C31×#2013C211yesmaximal, characteristic
9C31×#1973C211yesmaximal, characteristic
10C31×#1928C211yesmaximal, characteristic, complemented
11C31×#1926C211yesmaximal, characteristic
12C31×#1917C211yesmaximal, characteristic, complemented
13C31×#1880C211yesmaximal, characteristic
14C31×#1878C211yesmaximal, characteristic, complemented
15C31×#1865C211yesmaximal, characteristic, complemented
16C22×Q16×C31C2211yescharacteristic
17C22×Q16×C31C2211yescharacteristic
18C22×SD16×C31C2211yescharacteristic
19C22×SD16×C31C2211yescharacteristic
20C2×C31×C4⋊Q8C2211yescharacteristic
21C2×C31×#124C2211yescharacteristic
22C2×C4×Q8×C31C2211yescharacteristic
23C2×C4×Q8×C31C2211yescharacteristic
24C2×C4×Q8×C31C2211yescharacteristic
25C31×#464—24no—
26C31×#441—24no—
27C2×C31×#107C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#103C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C31×#102C2211yescharacteristic
38C2×C31×#97C2211yescharacteristic
39C31×#399—21no—
40C31×#397—21no—
41C31×#391C2211yescharacteristic
42C31×#391C2211yescharacteristic
43C31×#391C2211yescharacteristic
44C31×#390C2211yescharacteristic
45C31×#390C2211yescharacteristic
46C31×#389—21no—
47C31×#389C2211yescharacteristic
48C31×#388—21no—
49C31×#388—21no—
50C31×#387—21no—
51C31×#387—21no—
52C4×C4⋊C4×C31—21no—
53C4×C4⋊C4×C31C2211yescharacteristic
54C4×C4⋊C4×C31C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×Q8×C31C2311yescharacteristic
63C22×Q8×C31C2311yescharacteristic
64C22×D4×C31C2311yescharacteristic
65C2×Q16×C31—22no—
66C2×Q16×C31—22no—
67C2×Q16×C31—22no—
68C2×Q16×C31—22no—
69C2×Q16×C31—22no—
70C2×Q16×C31—41no—
71C2×SD16×C31—22no—
72C2×SD16×C31—22no—
73C2×SD16×C31—22no—
74C2×SD16×C31—41no—
75C2×SD16×C31—41no—
76C2×SD16×C31—41no—
77C22×C8×C31C2311yescharacteristic
78C22×C8×C31C2311yescharacteristic
79C22×C8×C31C2311yescharacteristic
80C22×C8×C31C2311yescharacteristic
81C31×C4⋊Q8—22no—
82C31×C4⋊Q8—22no—
83C31×#124—22no—
84C31×#124—41no—
85C4×Q8×C31—22no—
86C4×Q8×C31—22no—
87C4×Q8×C31—22no—
88C4×Q8×C31—41no—
89C4×Q8×C31—41no—
90C4×Q8×C31—41no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C4⋊C4×C31—21no—
96C2×C4⋊C4×C31—21no—
97C2×C4⋊C4×C31D411yescharacteristic
98C2×C4⋊C4×C31D411yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C4⋊C4×C31C2311yescharacteristic
102C2×C4⋊C4×C31C2311yescharacteristic
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C22⋊C4×C31—21no—
107C2×C22⋊C4×C31—21no—
108C2×C22⋊C4×C31—21no—
109C2×C42×C31—21no—
110C2×C42×C31—21no—
111C2×C42×C31—21no—
112C2×C42×C31—21no—
113C2×C42×C31C2311yescharacteristic
114C2×C42×C31C2311yescharacteristic
115C2×C42×C31C2311yescharacteristic
116C31×#107—41no—
117C31×#106—22no—
118C31×C4⋊C8—22no—
119C31×#103—22no—
120C31×#103—22no—
121C31×#103—41no—
122C31×#103—41no—
123C31×#103—41no—
124C31×#103D414yes—
125C31×#102—22no—
126C31×#102—22no—
127C31×#97—22no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95—21no—
131C31×#95—21no—
132C31×#95—21no—
133C31×#95—21no—
134C31×#95—21no—
135C31×#95—21no—
136C31×#95D411yescharacteristic
137C31×#95D411yescharacteristic
138C24×C31—21no—
139C2×Q8×C31—21no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31—21no—
146C2×Q8×C31—21no—
147C2×Q8×C31—21no—
148C2×Q8×C31—21no—
149C2×Q8×C31—21no—
150C2×Q8×C31—21no—
151C2×Q8×C31—21no—
152C2×Q8×C31—21no—
153C2×Q8×C31—21no—
154C2×Q8×C31C2×D412yes—
155C2×Q8×C31#4112yes—
156C2×Q8×C31#4112yes—
157C2×D4×C31—21no—
158C2×D4×C31—21no—
159C2×D4×C31—21no—
160C2×D4×C31—21no—
161C2×D4×C31—21no—
162C2×D4×C31—21no—
163C22×C4×C31—21no—
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—21no—
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2×D411yescharacteristic
174C22×C4×C31C2×D411yescharacteristic
175C22×C4×C31C2×D411yescharacteristic
176C22×C4×C31C2411yescharacteristic
177Q16×C31—28no—
178Q16×C31—44no—
179SD16×C31—44no—
180SD16×C31—44no—
181C2×C8×C31—21no—
182C2×C8×C31—21no—
183C2×C8×C31—21no—
184C2×C8×C31—21no—
185C2×C8×C31—21no—
186C2×C8×C31—21no—
187C2×C8×C31—21no—
188C2×C8×C31—21no—
189C2×C8×C31—21no—
190C2×C8×C31—21no—
191C2×C8×C31C2×D412yes—
192C2×C8×C31#4112yes—
193C4⋊C4×C31—24no—
194C4⋊C4×C31—24no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—21no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—21no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—41no—
204C4⋊C4×C31—42no—
205C4⋊C4×C31—42no—
206C4⋊C4×C31—42no—
207C4⋊C4×C31—81no—
208C4⋊C4×C31C2×D412yes—
209C22⋊C4×C31—42no—
210C22⋊C4×C31—42no—
211C22⋊C4×C31—42no—
212C22⋊C4×C31—42no—
213C22⋊C4×C31—81no—
214C22⋊C4×C31—81no—
215C42×C31—21no—
216C42×C31—21no—
217C42×C31—21no—
218C42×C31—21no—
219C42×C31—21no—
220C42×C31—21no—
221C42×C31—42no—
222C42×C31—42no—
223C42×C31—42no—
224C42×C31—42no—
225#26606C3111yesmaximal, characteristic, direct product factor, Sylow
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31—41no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31C22×D411yescharacteristic
234Q8×C31—22no—
235Q8×C31—22no—
236Q8×C31—22no—
237Q8×C31—22no—
238Q8×C31—22no—
239Q8×C31—22no—
240Q8×C31—41no—
241Q8×C31—41no—
242Q8×C31—41no—
243Q8×C31—41no—
244Q8×C31—41no—
245Q8×C31—41no—
246D4×C31—41no—
247D4×C31—41no—
248D4×C31—41no—
249D4×C31—41no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—22no—
254C2×C4×C31—22no—
255C2×C4×C31—21no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
259C2×C4×C31—22no—
260C2×C4×C31—22no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—21no—
264C2×C4×C31—21no—
265C2×C4×C31—21no—
266C2×C4×C31—21no—
267C2×C4×C31—21no—
268C2×C4×C31—21no—
269C2×C4×C31—21no—
270C2×C4×C31—21no—
271C2×C4×C31—41no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
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—41no—
284C2×C4×C31—41no—
285C2×C4×C31—41no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
288C2×C4×C31#13712yes—
289C2×C4×C31C22×D411yescharacteristic
290C2×C4×C31C2×#4111yescharacteristic
291C2×C4×C31C2×#4111yescharacteristic
292C2×C4×C31C2×#4111yescharacteristic
293C2×C4×C31H(5,𝔽2)11yescharacteristic
294C2×C4×C31H(5,𝔽2)11yescharacteristic
295C8×C31—22no—
296C8×C31—22no—
297C8×C31—41no—
298C8×C31—41no—
299C2×#464C2×C3111yescharacteristic
300C2×#441C2×C3111yescharacteristic, complemented
301#2448C2×C3111yescharacteristic
302#2365C2×C3111yescharacteristic, complemented
303#2068C2×C3111yescharacteristic, complemented
304#2016C2×C3111yescharacteristic, complemented
305#2015C2×C3111yescharacteristic
306#2013C2×C3111yescharacteristic
307#1973C2×C3111yescharacteristic
308#1928C2×C3111yescharacteristic, complemented
309#1926C2×C3111yescharacteristic
310#1917C2×C3111yescharacteristic, complemented
311#1880C2×C3111yescharacteristic
312#1878C2×C3111yescharacteristic, complemented
313#1865C2×C3111yescharacteristic, complemented
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31—81no—
319C22×C31—81no—
320C22×C31—81no—
321C22×C31#52511yescharacteristic
322C22×C31D4211yescharacteristic
323C22×C31#55011yescharacteristic
324C22×C31C2×#13711yescharacteristic
325C22×C31#57511yescharacteristic
326C22×C31#57711yescharacteristic
327C22×C31#57811yescharacteristic
328C4×C31—22no—
329C4×C31—41no—
330C4×C31—42no—
331C4×C31—42no—
332C4×C31—42no—
333C4×C31—41no—
334C4×C31—41no—
335C4×C31—42no—
336C4×C31—41no—
337C4×C31—41no—
338C4×C31—81no—
339C4×C31—81no—
340C4×C31—81no—
341C4×C31#52511yescharacteristic
342C4×C31#53811yescharacteristic
343C4×C31#54611yescharacteristic
344C4×C31#55311yescharacteristic
345C22×Q16C22×C3111yescharacteristic
346C22×Q16C22×C3111yescharacteristic
347C22×SD16C22×C3111yescharacteristic
348C22×SD16C22×C3111yescharacteristic
349C2×C4⋊Q8C22×C3111yescharacteristic
350C2×#124C22×C3111yescharacteristic
351C2×C4×Q8C22×C3111yescharacteristic
352C2×C4×Q8C22×C3111yescharacteristic
353C2×C4×Q8C22×C3111yescharacteristic
354#464—24no—
355#441—24no—
356C2×#107C22×C3111yescharacteristic
357C2×#106C22×C3111yescharacteristic
358C2×C4⋊C8C22×C3111yescharacteristic
359C2×#103C22×C3111yescharacteristic
360C2×#103C22×C3111yescharacteristic
361C2×#103C22×C3111yescharacteristic
362C2×#103C22×C3111yescharacteristic
363C2×#103C22×C3111yescharacteristic
364C2×#103C22×C3111yescharacteristic
365C2×#102C22×C3111yescharacteristic
366C2×#102C22×C3111yescharacteristic
367C2×#97C22×C3111yescharacteristic
368#399—21no—
369#397—21no—
370#391C22×C3111yescharacteristic
371#391C22×C3111yescharacteristic
372#391C22×C3111yescharacteristic
373#390C22×C3111yescharacteristic
374#390C22×C3111yescharacteristic
375#389—21no—
376#389C22×C3111yescharacteristic
377#388—21no—
378#388—21no—
379#387—21no—
380#387—21no—
381C4×C4⋊C4—21no—
382C4×C4⋊C4C22×C3111yescharacteristic
383C4×C4⋊C4C22×C3111yescharacteristic
384#340C22×C3111yescharacteristic
385#340C22×C3111yescharacteristic
386#336C22×C3111yescharacteristic
387#336C22×C3111yescharacteristic
388#336C22×C3111yescharacteristic
389#336C22×C3111yescharacteristic
390C2×C31—161no—
391C2×C31#245611yescharacteristic
392C2×C31#311711yescharacteristic
393C2×C31#312111yescharacteristic
394C2×C31#326911yescharacteristic
395C2×C31#327811yescharacteristic
396C2×C31#339811yescharacteristic
397C2×C31#340111yescharacteristic
398C22×Q8C23×C3111yescharacteristic
399C22×Q8C23×C3111yescharacteristic
400C22×Q8C23×C3111yescharacteristic
401C22×D4C23×C3111yescharacteristic
402C2×Q16—22no—
403C2×Q16—22no—
404C2×Q16—22no—
405C2×Q16—22no—
406C2×Q16—22no—
407C2×Q16—41no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×SD16—22no—
411C2×SD16—41no—
412C2×SD16—41no—
413C2×SD16—41no—
414C22×C8C23×C3111yescharacteristic
415C22×C8C23×C3111yescharacteristic
416C22×C8C23×C3111yescharacteristic
417C22×C8C23×C3111yescharacteristic
418C4⋊Q8—22no—
419C4⋊Q8—22no—
420#124—22no—
421#124—41no—
422C4×Q8—22no—
423C4×Q8—22no—
424C4×Q8—22no—
425C4×Q8—41no—
426C4×Q8—41no—
427C4×Q8—41no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C3111yescharacteristic
435C2×C4⋊C4D4×C3111yescharacteristic
436C2×C4⋊C4C23×C3111yescharacteristic
437C2×C4⋊C4C23×C3111yescharacteristic
438C2×C4⋊C4C23×C3111yescharacteristic
439C2×C4⋊C4C23×C3111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C42—21no—
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42C23×C3111yescharacteristic
451C2×C42C23×C3111yescharacteristic
452C2×C42C23×C3111yescharacteristic
453#107—41no—
454#106—22no—
455C4⋊C8—22no—
456#103—22no—
457#103—22no—
458#103—41no—
459#103—41no—
460#103—41no—
461#103D4×C3114yes—
462#102—22no—
463#102—22no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95D4×C3111yescharacteristic
474#95D4×C3111yescharacteristic
475C31#2660611yescharacteristic, direct product factor, Sylow
476C24—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C2×D4×C3112yes—
493C2×Q8#41×C3112yes—
494C2×Q8#41×C3112yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4C2×D4×C3111yescharacteristic
509C22×C4C2×D4×C3111yescharacteristic
510C22×C4C2×D4×C3111yescharacteristic
511C22×C4C2×D4×C3111yescharacteristic
512C22×C4C2×D4×C3111yescharacteristic
513C22×C4C2×D4×C3111yescharacteristic
514C22×C4C24×C3111yescharacteristic
515Q16—28no—
516Q16—44no—
517SD16—44no—
518SD16—44no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8C2×D4×C3112yes—
530C2×C8#41×C3112yes—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—41no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—81no—
546C4⋊C4C2×D4×C3112yes—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—42no—
560C42—42no—
561C42—42no—
562C42—42no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23C22×D4×C3111yescharacteristic
571Q8—22no—
572Q8—22no—
573Q8—22no—
574Q8—22no—
575Q8—22no—
576Q8—22no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4C31×#13712yes—
626C2×C4C22×D4×C3111yescharacteristic
627C2×C4C2×#41×C3111yescharacteristic
628C2×C4C2×#41×C3111yescharacteristic
629C2×C4C2×#41×C3111yescharacteristic
630C2×C4C31×H(5,𝔽2)11yescharacteristic
631C2×C4C31×H(5,𝔽2)11yescharacteristic
632C8—22no—
633C8—22no—
634C8—41no—
635C8—41no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22C31×#52511yescharacteristic
644C22D42×C3111yescharacteristic
645C22C31×#55011yescharacteristic
646C22C2×C31×#13711yescharacteristic
647C22C31×#57511yescharacteristic
648C22C31×#57711yescharacteristic
649C22C31×#57811yescharacteristic
650C4—22no—
651C4—41no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—41no—
656C4—41no—
657C4—42no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4C31×#52511yescharacteristic
664C4C31×#53811yescharacteristic
665C4C31×#54611yescharacteristic
666C4C31×#55311yescharacteristic
667C2—161no—
668C2C31×#245611yescharacteristic
669C2C31×#311711yescharacteristic
670C2C31×#312111yescharacteristic
671C2C31×#326911yescharacteristic
672C2C31×#327811yescharacteristic
673C2C31×#339811yescharacteristic
674C2C31×#340111yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C4⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#441C2semidirect
4. C31×#2365C2semidirect
5. C31×#2068C2semidirect
6. C31×#2016C2semidirect
10. C31×#1928C2semidirect
12. C31×#1917C2semidirect
14. C31×#1878C2semidirect
15. C31×#1865C2semidirect
225. #26606C31direct (N × H)
300. C2×#441C2×C31semidirect
302. #2365C2×C31semidirect
303. #2068C2×C31semidirect
304. #2016C2×C31semidirect
308. #1928C2×C31semidirect
310. #1917C2×C31semidirect
312. #1878C2×C31semidirect
313. #1865C2×C31semidirect
475. C31#26606direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4642
C2×C31×#4412
C31×#24482
C31×#23652
C31×#20682
C31×#20162
C31×#20152
C31×#20132
C31×#19732
C31×#19282
C31×#19262
C31×#19172
C31×#18802
C31×#18782
C31×#18652
#2660631