Finite Group Databasebeta

← C31×#17612 #21474371

Subgroups — C31×#17612 #21474371

Order 7936.

930 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3495C211yesmaximal, characteristic
2C31×#2924C211yesmaximal, characteristic, complemented
3C31×#2347C211yesmaximal, characteristic, complemented
4C31×#1521C212yesmaximal, complemented
5C31×#1520C211yesmaximal, characteristic, complemented
6C31×#1515C212yesmaximal, complemented
7C31×#1513C211yesmaximal, characteristic
8C31×#1509C212yesmaximal, complemented
9C31×#1508C211yesmaximal, characteristic, complemented
10C31×#1503C212yesmaximal, complemented
11C31×#1501C211yesmaximal, characteristic
12C31×#556—21no—
13C31×#554—21no—
14C31×#552—22no—
15C31×#552—21no—
16C31×#552—21no—
17C31×#551—22no—
18C31×#544C411yescharacteristic, complemented
19C31×#542C412yescomplemented
20C31×#541C412yescomplemented
21C31×#536C411yescharacteristic, complemented
22C31×#533C2212yes—
23C31×#529C2212yes—
24C31×#525C2211yescharacteristic
25C2×C31×C22⋊Q8C2211yescharacteristic
26C31×#520C411yescharacteristic, complemented
27C31×#519C411yescharacteristic, complemented
28C2×C31×#117C2211yescharacteristic
29C31×#433—22no—
30C31×#432C2212yes—
31C31×#431C2212yes—
32C31×#424—21no—
33C31×#407C2211yescharacteristic
34C2×C31×C22⋊C8C2211yescharacteristic
35C31×#405—21no—
36C31×#389—21no—
37C31×#388—22no—
38C31×#383C2212yes—
39C31×#380C2211yescharacteristic
40C4×C4⋊C4×C31—21no—
41C4×C4⋊C4×C31C2212yes—
42C4×C22⋊C4×C31C2211yescharacteristic
43C31×#328C2211yescharacteristic
44C31×#328C2211yescharacteristic
45C31×#328C2212yes—
46C31×#328C2212yes—
47C31×#328C2212yes—
48C31×#328C2212yes—
49C31×#328C2212yes—
50C31×#327C2211yescharacteristic
51C31×#327C2211yescharacteristic
52C31×#327C2212yes—
53C2×#41×C31C2×C411yescharacteristic
54C22×Q8×C31C2×C411yescharacteristic
55C23×C4×C31C2311yescharacteristic
56C2×M16×C31—21no—
57C22×C8×C31—21no—
58C31×C4⋊Q8—21no—
59C31×C4⋊Q8C2×C412yes—
60C31×C4⋊Q8C2×C412yes—
61C31×#126—22no—
62C31×#126—22no—
63C31×#126—22no—
64C31×#126—22no—
65C31×#125—22no—
66C31×#125—22no—
67C31×#125—21no—
68C31×#125—22no—
69C31×#125C2×C412yes—
70C31×#124—22no—
71C31×#124C2×C412yes—
72C31×#123—21no—
73C31×#123—22no—
74C31×#123—22no—
75C31×#123—22no—
76C31×C22⋊Q8—21no—
77C31×C22⋊Q8—21no—
78C31×C22⋊Q8—22no—
79C31×C22⋊Q8—21no—
80C31×C22⋊Q8—21no—
81C31×C22⋊Q8—22no—
82C31×C22⋊Q8—22no—
83C31×C22⋊Q8C2×C412yes—
84C31×C22⋊Q8C2×C411yescharacteristic
85C31×C22⋊Q8C2312yes—
86C31×C22⋊Q8C2311yescharacteristic
87C31×#121C2×C411yescharacteristic
88C31×#121C2311yescharacteristic
89C31×#120—21no—
90C4×Q8×C31—21no—
91C4×Q8×C31—21no—
92C4×Q8×C31—22no—
93C4×Q8×C31C2×C412yes—
94C4×Q8×C31C2×C412yes—
95C4×Q8×C31C2×C412yes—
96C4×D4×C31—21no—
97C4×D4×C31—21no—
98C4×D4×C31—22no—
99C4×D4×C31—22no—
100C4×D4×C31C2×C412yes—
101C31×#117—22no—
102C31×#117—21no—
103C31×#117—22no—
104C31×#117—22no—
105C31×#117C2×C411yescharacteristic
106C31×#117C2×C411yescharacteristic
107C31×#117C2×C411yescharacteristic
108C31×#117C2×C412yes—
109C31×#117D411yescharacteristic
110C31×#117D411yescharacteristic
111C31×#117D412yes—
112C2×C4⋊C4×C31—21no—
113C2×C4⋊C4×C31—21no—
114C2×C4⋊C4×C31—21no—
115C2×C4⋊C4×C31—22no—
116C2×C4⋊C4×C31C2×C411yescharacteristic
117C2×C4⋊C4×C31D411yescharacteristic
118C2×C4⋊C4×C31D411yescharacteristic
119C2×C22⋊C4×C31—21no—
120C2×C22⋊C4×C31—21no—
121C2×C22⋊C4×C31—21no—
122C2×C22⋊C4×C31D412yes—
123C2×C42×C31—21no—
124C2×C42×C31—22no—
125C2×C42×C31C2312yes—
126C31×C4⋊C8—22no—
127C31×C4⋊C8—22no—
128C31×C22⋊C8—21no—
129C31×C22⋊C8—21no—
130C31×C22⋊C8C2311yescharacteristic
131C31×C22⋊C8C2311yescharacteristic
132C31×C22⋊C8C2312yes—
133C31×#97—22no—
134C4×C8×C31—22no—
135C31×#95—22no—
136C31×#95—22no—
137C31×#95C2311yescharacteristic
138C31×#95C2311yescharacteristic
139C31×#95C2312yes—
140C24×C31C2×D411yescharacteristic
141#41×C31—42no—
142C2×Q8×C31—21no—
143C2×Q8×C31—22no—
144C2×Q8×C31—42no—
145C2×Q8×C31C22×C412yes—
146C2×Q8×C31C22×C411yescharacteristic
147C2×D4×C31—21no—
148C2×D4×C31—21no—
149C2×D4×C31—21no—
150C2×D4×C31C22×C411yescharacteristic
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—22no—
156C22×C4×C31—21no—
157C22×C4×C31—22no—
158C22×C4×C31—42no—
159C22×C4×C31C22×C411yescharacteristic
160C22×C4×C31C22×C411yescharacteristic
161C22×C4×C31C2×D412yes—
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D412yes—
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2411yescharacteristic
167M16×C31—42no—
168C2×C8×C31—21no—
169C2×C8×C31—22no—
170C2×C8×C31—21no—
171C2×C8×C31—42no—
172C4⋊C4×C31—21no—
173C4⋊C4×C31—22no—
174C4⋊C4×C31—22no—
175C4⋊C4×C31—22no—
176C4⋊C4×C31—22no—
177C4⋊C4×C31—22no—
178C4⋊C4×C31—22no—
179C4⋊C4×C31—22no—
180C4⋊C4×C31—22no—
181C4⋊C4×C31—21no—
182C4⋊C4×C31—22no—
183C4⋊C4×C31—22no—
184C4⋊C4×C31—21no—
185C4⋊C4×C31—42no—
186C4⋊C4×C31—44no—
187C4⋊C4×C31C22⋊C411yescharacteristic
188C4⋊C4×C31C22⋊C411yescharacteristic
189C4⋊C4×C31C22⋊C412yes—
190C4⋊C4×C31C22⋊C411yescharacteristic
191C4⋊C4×C31C22⋊C411yescharacteristic
192C4⋊C4×C31C22⋊C412yes—
193C4⋊C4×C31C22×C412yes—
194C4⋊C4×C31C22×C411yescharacteristic
195C4⋊C4×C31C22×C411yescharacteristic
196C22⋊C4×C31—22no—
197C22⋊C4×C31—21no—
198C22⋊C4×C31—21no—
199C22⋊C4×C31—22no—
200C22⋊C4×C31—21no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—21no—
204C22⋊C4×C31—22no—
205C22⋊C4×C31—21no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—81no—
208C22⋊C4×C31C22⋊C412yes—
209C22⋊C4×C31C22⋊C412yes—
210C22⋊C4×C31C22⋊C412yes—
211C22⋊C4×C31C22⋊C412yes—
212C42×C31—22no—
213C42×C31—22no—
214C42×C31—22no—
215C42×C31—21no—
216C42×C31—42no—
217C42×C31—82no—
218C42×C31C22×C412yes—
219C42×C31C22×C412yes—
220C42×C31C2×D412yes—
221C42×C31C2×D412yes—
222#17612C3111yesmaximal, characteristic, direct product factor, Sylow
223C23×C31—21no—
224C23×C31—21no—
225C23×C31—21no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31C2×C22⋊C411yescharacteristic
229C23×C31C2×C22⋊C411yescharacteristic
230C23×C31C22×D411yescharacteristic
231Q8×C31—42no—
232Q8×C31—41no—
233Q8×C31—42no—
234Q8×C31—82no—
235D4×C31—41no—
236D4×C31—42no—
237D4×C31—41no—
238D4×C31—41no—
239D4×C31—81no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—22no—
249C2×C4×C31—21no—
250C2×C4×C31—22no—
251C2×C4×C31—42no—
252C2×C4×C31—41no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31—42no—
257C2×C4×C31—41no—
258C2×C4×C31—42no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—41no—
265C2×C4×C31—82no—
266C2×C4×C31—81no—
267C2×C4×C31C2×C22⋊C412yes—
268C2×C4×C31C2×C22⋊C412yes—
269C2×C4×C31C2×C22⋊C412yes—
270C2×C4×C31C2×C22⋊C412yes—
271C2×C4×C31C2×C22⋊C411yescharacteristic
272C2×C4×C31C2×C22⋊C411yescharacteristic
273C2×C4×C31C23×C411yescharacteristic
274C2×C4×C31C22×D411yescharacteristic
275C8×C31—41no—
276C8×C31—41no—
277C8×C31—42no—
278#3495C2×C3111yescharacteristic
279#2924C2×C3111yescharacteristic, complemented
280#2347C2×C3111yescharacteristic, complemented
281#1521C2×C3112yescomplemented
282#1520C2×C3111yescharacteristic, complemented
283#1515C2×C3112yescomplemented
284#1513C2×C3111yescharacteristic
285#1509C2×C3112yescomplemented
286#1508C2×C3111yescharacteristic, complemented
287#1503C2×C3112yescomplemented
288#1501C2×C3111yescharacteristic
289C22×C31—21no—
290C22×C31—21no—
291C22×C31—21no—
292C22×C31—21no—
293C22×C31—21no—
294C22×C31—21no—
295C22×C31—21no—
296C22×C31—21no—
297C22×C31—41no—
298C22×C31—41no—
299C22×C31—41no—
300C22×C31—81no—
301C22×C31—81no—
302C22×C31C22×C22⋊C411yescharacteristic
303C22×C31#57711yescharacteristic
304C22×C31#57811yescharacteristic
305C4×C31—21no—
306C4×C31—21no—
307C4×C31—21no—
308C4×C31—22no—
309C4×C31—22no—
310C4×C31—22no—
311C4×C31—22no—
312C4×C31—42no—
313C4×C31—41no—
314C4×C31—42no—
315C4×C31—41no—
316C4×C31—42no—
317C4×C31—41no—
318C4×C31—82no—
319C4×C31—81no—
320C4×C31#41012yes—
321#556—21no—
322#554—21no—
323#552—22no—
324#552—21no—
325#552—21no—
326#551—22no—
327#544C4×C3111yescharacteristic, complemented
328#542C4×C3112yescomplemented
329#541C4×C3112yescomplemented
330#536C4×C3111yescharacteristic, complemented
331#533C22×C3112yes—
332#529C22×C3112yes—
333#525C22×C3111yescharacteristic
334C2×C22⋊Q8C22×C3111yescharacteristic
335#520C4×C3111yescharacteristic, complemented
336#519C4×C3111yescharacteristic, complemented
337C2×#117C22×C3111yescharacteristic
338#433—22no—
339#432C22×C3112yes—
340#431C22×C3112yes—
341#424—21no—
342#407C22×C3111yescharacteristic
343C2×C22⋊C8C22×C3111yescharacteristic
344#405—21no—
345#389—21no—
346#388—22no—
347#383C22×C3112yes—
348#380C22×C3111yescharacteristic
349C4×C4⋊C4—21no—
350C4×C4⋊C4C22×C3112yes—
351C4×C22⋊C4C22×C3111yescharacteristic
352#328C22×C3111yescharacteristic
353#328C22×C3111yescharacteristic
354#328C22×C3112yes—
355#328C22×C3112yes—
356#328C22×C3112yes—
357#328C22×C3112yes—
358#328C22×C3112yes—
359#327C22×C3111yescharacteristic
360#327C22×C3111yescharacteristic
361#327C22×C3112yes—
362C2×C31—21no—
363C2×C31—21no—
364C2×C31—41no—
365C2×C31—41no—
366C2×C31—81no—
367C2×C31C2×#41011yescharacteristic
368C2×C31#289811yescharacteristic
369C2×C31#290111yescharacteristic
370C2×#41C2×C4×C3111yescharacteristic
371C22×Q8C2×C4×C3111yescharacteristic
372C23×C4C23×C3111yescharacteristic
373C2×M16—21no—
374C22×C8—21no—
375C4⋊Q8—21no—
376C4⋊Q8C2×C4×C3112yes—
377C4⋊Q8C2×C4×C3112yes—
378#126—22no—
379#126—22no—
380#126—22no—
381#126—22no—
382#125—22no—
383#125—22no—
384#125—21no—
385#125—22no—
386#125C2×C4×C3112yes—
387#124—22no—
388#124C2×C4×C3112yes—
389#123—21no—
390#123—22no—
391#123—22no—
392#123—22no—
393C22⋊Q8—21no—
394C22⋊Q8—21no—
395C22⋊Q8—22no—
396C22⋊Q8—21no—
397C22⋊Q8—21no—
398C22⋊Q8—22no—
399C22⋊Q8—22no—
400C22⋊Q8C2×C4×C3112yes—
401C22⋊Q8C2×C4×C3111yescharacteristic
402C22⋊Q8C23×C3112yes—
403C22⋊Q8C23×C3111yescharacteristic
404#121C2×C4×C3111yescharacteristic
405#121C23×C3111yescharacteristic
406#120—21no—
407C4×Q8—21no—
408C4×Q8—21no—
409C4×Q8—22no—
410C4×Q8C2×C4×C3112yes—
411C4×Q8C2×C4×C3112yes—
412C4×Q8C2×C4×C3112yes—
413C4×D4—21no—
414C4×D4—21no—
415C4×D4—22no—
416C4×D4—22no—
417C4×D4C2×C4×C3112yes—
418#117—22no—
419#117—21no—
420#117—22no—
421#117—22no—
422#117C2×C4×C3111yescharacteristic
423#117C2×C4×C3111yescharacteristic
424#117C2×C4×C3111yescharacteristic
425#117C2×C4×C3112yes—
426#117D4×C3111yescharacteristic
427#117D4×C3112yes—
428#117D4×C3111yescharacteristic
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4C2×C4×C3111yescharacteristic
434C2×C4⋊C4D4×C3111yescharacteristic
435C2×C4⋊C4D4×C3111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4D4×C3112yes—
440C2×C42—21no—
441C2×C42—22no—
442C2×C42C23×C3112yes—
443C4⋊C8—22no—
444C4⋊C8—22no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8C23×C3111yescharacteristic
448C22⋊C8C23×C3111yescharacteristic
449C22⋊C8C23×C3112yes—
450#97—22no—
451C4×C8—22no—
452#95—22no—
453#95—22no—
454#95C23×C3111yescharacteristic
455#95C23×C3111yescharacteristic
456#95C23×C3112yes—
457C31#1761211yescharacteristic, direct product factor, Sylow
458C24C2×D4×C3111yescharacteristic
459#41—42no—
460C2×Q8—21no—
461C2×Q8—22no—
462C2×Q8—42no—
463C2×Q8C22×C4×C3112yes—
464C2×Q8C22×C4×C3111yescharacteristic
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C22×C4×C3111yescharacteristic
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—42no—
477C22×C4C22×C4×C3111yescharacteristic
478C22×C4C22×C4×C3111yescharacteristic
479C22×C4C2×D4×C3112yes—
480C22×C4C2×D4×C3111yescharacteristic
481C22×C4C2×D4×C3111yescharacteristic
482C22×C4C2×D4×C3112yes—
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4C24×C3111yescharacteristic
485M16—42no—
486C2×C8—21no—
487C2×C8—22no—
488C2×C8—21no—
489C2×C8—42no—
490C4⋊C4—21no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—22no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—21no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—21no—
503C4⋊C4—42no—
504C4⋊C4—44no—
505C4⋊C4C22⋊C4×C3111yescharacteristic
506C4⋊C4C22⋊C4×C3111yescharacteristic
507C4⋊C4C22⋊C4×C3112yes—
508C4⋊C4C22⋊C4×C3111yescharacteristic
509C4⋊C4C22⋊C4×C3111yescharacteristic
510C4⋊C4C22⋊C4×C3112yes—
511C4⋊C4C22×C4×C3112yes—
512C4⋊C4C22×C4×C3111yescharacteristic
513C4⋊C4C22×C4×C3111yescharacteristic
514C22⋊C4—22no—
515C22⋊C4—21no—
516C22⋊C4—21no—
517C22⋊C4—22no—
518C22⋊C4—21no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—21no—
522C22⋊C4—22no—
523C22⋊C4—21no—
524C22⋊C4—42no—
525C22⋊C4—81no—
526C22⋊C4C22⋊C4×C3112yes—
527C22⋊C4C22⋊C4×C3112yes—
528C22⋊C4C22⋊C4×C3112yes—
529C22⋊C4C22⋊C4×C3112yes—
530C42—22no—
531C42—22no—
532C42—22no—
533C42—21no—
534C42—42no—
535C42—82no—
536C42C22×C4×C3112yes—
537C42C22×C4×C3112yes—
538C42C2×D4×C3112yes—
539C42C2×D4×C3112yes—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23C2×C22⋊C4×C3111yescharacteristic
546C23C2×C22⋊C4×C3111yescharacteristic
547C23C22×D4×C3111yescharacteristic
548Q8—42no—
549Q8—41no—
550Q8—42no—
551Q8—82no—
552D4—41no—
553D4—42no—
554D4—41no—
555D4—41no—
556D4—81no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—42no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—42no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—41no—
582C2×C4—82no—
583C2×C4—81no—
584C2×C4C2×C22⋊C4×C3112yes—
585C2×C4C2×C22⋊C4×C3112yes—
586C2×C4C2×C22⋊C4×C3112yes—
587C2×C4C2×C22⋊C4×C3112yes—
588C2×C4C2×C22⋊C4×C3111yescharacteristic
589C2×C4C2×C22⋊C4×C3111yescharacteristic
590C2×C4C23×C4×C3111yescharacteristic
591C2×C4C22×D4×C3111yescharacteristic
592C8—41no—
593C8—41no—
594C8—42no—
595C22—21no—
596C22—21no—
597C22—21no—
598C22—21no—
599C22—21no—
600C22—21no—
601C22—21no—
602C22—21no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—81no—
607C22—81no—
608C22C22×C22⋊C4×C3111yescharacteristic
609C22C31×#57711yescharacteristic
610C22C31×#57811yescharacteristic
611C4—21no—
612C4—21no—
613C4—21no—
614C4—22no—
615C4—22no—
616C4—22no—
617C4—22no—
618C4—42no—
619C4—41no—
620C4—42no—
621C4—41no—
622C4—42no—
623C4—41no—
624C4—82no—
625C4—81no—
626C4C31×#41012yes—
627C2—21no—
628C2—21no—
629C2—41no—
630C2—41no—
631C2—81no—
632C2C2×C31×#41011yescharacteristic
633C2C31×#289811yescharacteristic
634C2C31×#290111yescharacteristic
subgroupG/H
center, socleC22×C31C22×C22⋊C4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC31×#525C22
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C2×C31×#117 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#2924C2semidirect
3. C31×#2347C2semidirect
4. C31×#1521C2semidirect
5. C31×#1520C2semidirect
6. C31×#1515C2semidirect
8. C31×#1509C2semidirect
9. C31×#1508C2semidirect
10. C31×#1503C2semidirect
18. C31×#544C4semidirect
19. C31×#542C4semidirect
20. C31×#541C4semidirect
21. C31×#536C4semidirect
26. C31×#520C4semidirect
27. C31×#519C4semidirect
222. #17612C31direct (N × H)
279. #2924C2×C31semidirect
280. #2347C2×C31semidirect
281. #1521C2×C31semidirect
282. #1520C2×C31semidirect
283. #1515C2×C31semidirect
285. #1509C2×C31semidirect
286. #1508C2×C31semidirect
287. #1503C2×C31semidirect
327. #544C4×C31semidirect
328. #542C4×C31semidirect
329. #541C4×C31semidirect
330. #536C4×C31semidirect
335. #520C4×C31semidirect
336. #519C4×C31semidirect
457. C31#17612direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34952
C31×#29242
C31×#23472
C31×#15212
C31×#15202
C31×#15152
C31×#15132
C31×#15092
C31×#15082
C31×#15032
C31×#15012
#1761231