Finite Group Databasebeta

← C31×#26346 #21483105

Subgroups — C31×#26346 #21483105

Order 7936.

838 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#479C211yesmaximal, characteristic, complemented
2C22×C31×#106C211yesmaximal, characteristic
3C31×#2442C211yesmaximal, characteristic
4C31×#2360C211yesmaximal, characteristic
5C31×#2097C211yesmaximal, characteristic, complemented
6C31×#2088C211yesmaximal, characteristic, complemented
7C31×#2066C211yesmaximal, characteristic, complemented
8C31×#2059C211yesmaximal, characteristic, complemented
9C31×#1949C211yesmaximal, characteristic, complemented
10C31×#1920C211yesmaximal, characteristic, complemented
11C31×#1892C211yesmaximal, characteristic
12C31×#1872C211yesmaximal, characteristic
13C31×#1865C211yesmaximal, characteristic, complemented
14C31×#1852C211yesmaximal, characteristic
15C31×#1850C211yesmaximal, characteristic
16C23×C8×C31C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C4×Q8×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C31×#479—24no—
23C2×C31×#107C2211yescharacteristic
24C2×C31×#107C2211yescharacteristic
25C2×C31×#106—24no—
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×#106C2211yescharacteristic
30C2×C31×C4⋊C8C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#103C2211yescharacteristic
36C2×C31×C22⋊C8C2211yescharacteristic
37C31×#400—21no—
38C31×#398—21no—
39C31×#391C2211yescharacteristic
40C31×#389—21no—
41C31×#389C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#387—21no—
45C31×#385—21no—
46C31×#385—21no—
47C31×#382C2211yescharacteristic
48C31×#380—21no—
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×C31C2311yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31—21no—
64C23×C4×C31C2311yescharacteristic
65C22×C8×C31—22no—
66C22×C8×C31—22no—
67C22×C8×C31—22no—
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C31×#125—22no—
73C31×#125—41no—
74C31×C22⋊Q8—22no—
75C31×C22⋊Q8Q814yes—
76C4×Q8×C31—22no—
77C4×Q8×C31—41no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—22no—
80C2×C4⋊C4×C31—22no—
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×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—41no—
90C2×C4⋊C4×C31—41no—
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
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×C31C2311yescharacteristic
105C2×C42×C31C2311yescharacteristic
106C31×#107—22no—
107C31×#107—41no—
108C31×#106—22no—
109C31×#106—22no—
110C31×#106—22no—
111C31×#106D414yes—
112C31×C4⋊C8—22no—
113C31×C4⋊C8—22no—
114C31×#103—22no—
115C31×#103—22no—
116C31×#103—22no—
117C31×#103—41no—
118C31×C22⋊C8—22no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95D411yescharacteristic
129C31×#95D411yescharacteristic
130C24×C31C2×D411yescharacteristic
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31C2×Q812yes—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
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—42no—
150C22×C4×C31—42no—
151C22×C4×C31—42no—
152C22×C4×C31—42no—
153C22×C4×C31—81no—
154C22×C4×C31—81no—
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2×D411yescharacteristic
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×Q812yes—
161C22×C4×C31#4112yes—
162C22×C4×C31C2411yescharacteristic
163C2×C8×C31—28no—
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×C31—21no—
174C2×C8×C31C2×D412yes—
175C2×C8×C31#4112yes—
176C4⋊C4×C31—24no—
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—21no—
188C4⋊C4×C31—42no—
189C4⋊C4×C31—42no—
190C4⋊C4×C31—42no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—81no—
194C4⋊C4×C31—81no—
195C4⋊C4×C31—81no—
196C4⋊C4×C31C2×D412yes—
197C4⋊C4×C31C2×D412yes—
198C4⋊C4×C31C2×Q812yes—
199C22⋊C4×C31—24no—
200C22⋊C4×C31—22no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—42no—
203C42×C31—21no—
204C42×C31—21no—
205C42×C31—21no—
206C42×C31—21no—
207C42×C31—42no—
208C42×C31—81no—
209#26346C3111yesmaximal, characteristic, direct product factor, Sylow
210C23×C31—21no—
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31C22⋊Q812yes—
215C23×C31#13512yes—
216C23×C31#13712yes—
217C23×C31C22×D411yescharacteristic
218Q8×C31—22no—
219Q8×C31—22no—
220Q8×C31—41no—
221Q8×C31—41no—
222C2×C4×C31—21no—
223C2×C4×C31—21no—
224C2×C4×C31—22no—
225C2×C4×C31—22no—
226C2×C4×C31—22no—
227C2×C4×C31—22no—
228C2×C4×C31—22no—
229C2×C4×C31—22no—
230C2×C4×C31—21no—
231C2×C4×C31—21no—
232C2×C4×C31—22no—
233C2×C4×C31—22no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—41no—
245C2×C4×C31—41no—
246C2×C4×C31—41no—
247C2×C4×C31—41no—
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—84no—
265C2×C4×C31—84no—
266C2×C4×C31C22⋊Q812yes—
267C2×C4×C31C22×D411yescharacteristic
268C2×C4×C31C22×Q811yescharacteristic
269C2×C4×C31C2×#4111yescharacteristic
270C2×C4×C31C2×#4111yescharacteristic
271C2×C4×C31H(5,𝔽2)11yescharacteristic
272C2×C4×C312−1+411yescharacteristic
273C8×C31—22no—
274C8×C31—22no—
275C8×C31—41no—
276C8×C31—41no—
277C2×#479C2×C3111yescharacteristic, complemented
278C22×#106C2×C3111yescharacteristic
279#2442C2×C3111yescharacteristic
280#2360C2×C3111yescharacteristic
281#2097C2×C3111yescharacteristic, complemented
282#2088C2×C3111yescharacteristic, complemented
283#2066C2×C3111yescharacteristic, complemented
284#2059C2×C3111yescharacteristic, complemented
285#1949C2×C3111yescharacteristic, complemented
286#1920C2×C3111yescharacteristic, complemented
287#1892C2×C3111yescharacteristic
288#1872C2×C3111yescharacteristic
289#1865C2×C3111yescharacteristic, complemented
290#1852C2×C3111yescharacteristic
291#1850C2×C3111yescharacteristic
292C22×C31—22no—
293C22×C31—22no—
294C22×C31—22no—
295C22×C31—22no—
296C22×C31—22no—
297C22×C31—22no—
298C22×C31#47914yescomplemented
299C22×C31C2×C22⋊Q811yescharacteristic
300C22×C31D4211yescharacteristic
301C22×C31#54711yescharacteristic
302C22×C31C2×#13511yescharacteristic
303C22×C31C2×#13711yescharacteristic
304C22×C31#57711yescharacteristic
305C22×C31#57711yescharacteristic
306C4×C31—22no—
307C4×C31—41no—
308C4×C31—42no—
309C4×C31—41no—
310C4×C31—42no—
311C4×C31—41no—
312C4×C31—42no—
313C4×C31—41no—
314C4×C31—42no—
315C4×C31—81no—
316C4×C31—81no—
317C4×C31—81no—
318C4×C31—81no—
319C4×C31#52511yescharacteristic
320C4×C31#53911yescharacteristic
321C4×C31D4×Q811yescharacteristic
322C4×C31#55411yescharacteristic
323C23×C8C22×C3111yescharacteristic
324C2×#125C22×C3111yescharacteristic
325C2×C22⋊Q8C22×C3111yescharacteristic
326C2×C4×Q8C22×C3111yescharacteristic
327C22×C4⋊C4C22×C3111yescharacteristic
328C22×C4⋊C4C22×C3111yescharacteristic
329#479—24no—
330C2×#107C22×C3111yescharacteristic
331C2×#107C22×C3111yescharacteristic
332C2×#106—24no—
333C2×#106C22×C3111yescharacteristic
334C2×#106C22×C3111yescharacteristic
335C2×#106C22×C3111yescharacteristic
336C2×#106C22×C3111yescharacteristic
337C2×C4⋊C8C22×C3111yescharacteristic
338C2×C4⋊C8C22×C3111yescharacteristic
339C2×#103C22×C3111yescharacteristic
340C2×#103C22×C3111yescharacteristic
341C2×#103C22×C3111yescharacteristic
342C2×#103C22×C3111yescharacteristic
343C2×C22⋊C8C22×C3111yescharacteristic
344#400—21no—
345#398—21no—
346#391C22×C3111yescharacteristic
347#389—21no—
348#389C22×C3111yescharacteristic
349#389C22×C3111yescharacteristic
350#389C22×C3111yescharacteristic
351#387—21no—
352#385—21no—
353#385—21no—
354#382C22×C3111yescharacteristic
355#380—21no—
356#380C22×C3111yescharacteristic
357C4×C4⋊C4C22×C3111yescharacteristic
358C4×C22⋊C4—21no—
359C4×C22⋊C4C22×C3111yescharacteristic
360#340C22×C3111yescharacteristic
361#340C22×C3111yescharacteristic
362#340C22×C3111yescharacteristic
363#340C22×C3111yescharacteristic
364#340C22×C3111yescharacteristic
365#340C22×C3111yescharacteristic
366#336C22×C3111yescharacteristic
367#336C22×C3111yescharacteristic
368C2×C31—24no—
369C2×C31#244911yescharacteristic
370C2×C31C2×#47911yescharacteristic
371C2×C31#308411yescharacteristic
372C2×C31#326611yescharacteristic
373C2×C31#328211yescharacteristic
374C2×C31#333711yescharacteristic
375C2×C31#334411yescharacteristic
376C22×Q8C23×C3111yescharacteristic
377C23×C4—21no—
378C23×C4—21no—
379C23×C4C23×C3111yescharacteristic
380C22×C8—22no—
381C22×C8—22no—
382C22×C8—22no—
383C22×C8C23×C3111yescharacteristic
384C22×C8C23×C3111yescharacteristic
385C22×C8C23×C3111yescharacteristic
386C22×C8C23×C3111yescharacteristic
387#125—22no—
388#125—41no—
389C22⋊Q8—22no—
390C22⋊Q8Q8×C3114yes—
391C4×Q8—22no—
392C4×Q8—41no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4C23×C3111yescharacteristic
407C2×C4⋊C4C23×C3111yescharacteristic
408C2×C4⋊C4C23×C3111yescharacteristic
409C2×C4⋊C4C23×C3111yescharacteristic
410C2×C4⋊C4C23×C3111yescharacteristic
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4D4×C3111yescharacteristic
416C2×C22⋊C4D4×C3111yescharacteristic
417C2×C42—21no—
418C2×C42—21no—
419C2×C42C23×C3111yescharacteristic
420C2×C42C23×C3111yescharacteristic
421#107—22no—
422#107—41no—
423#106—22no—
424#106—22no—
425#106—22no—
426#106D4×C3114yes—
427C4⋊C8—22no—
428C4⋊C8—22no—
429#103—22no—
430#103—22no—
431#103—22no—
432#103—41no—
433C22⋊C8—22no—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95D4×C3111yescharacteristic
444#95D4×C3111yescharacteristic
445C31#2634611yescharacteristic, direct product factor, Sylow
446C24C2×D4×C3111yescharacteristic
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C2×Q8×C3112yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4C2×D4×C3111yescharacteristic
472C22×C4C2×D4×C3111yescharacteristic
473C22×C4C2×D4×C3111yescharacteristic
474C22×C4C2×D4×C3111yescharacteristic
475C22×C4C2×D4×C3111yescharacteristic
476C22×C4C2×Q8×C3112yes—
477C22×C4#41×C3112yes—
478C22×C4C24×C3111yescharacteristic
479C2×C8—28no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8C2×D4×C3112yes—
491C2×C8#41×C3112yes—
492C4⋊C4—24no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4C2×D4×C3112yes—
513C4⋊C4C2×D4×C3112yes—
514C4⋊C4C2×Q8×C3112yes—
515C22⋊C4—24no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—42no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—21no—
523C42—42no—
524C42—81no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23C31×C22⋊Q812yes—
530C23C31×#13512yes—
531C23C31×#13712yes—
532C23C22×D4×C3111yescharacteristic
533Q8—22no—
534Q8—22no—
535Q8—41no—
536Q8—41no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
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—84no—
580C2×C4—84no—
581C2×C4C31×C22⋊Q812yes—
582C2×C4C22×D4×C3111yescharacteristic
583C2×C4C22×Q8×C3111yescharacteristic
584C2×C4C2×#41×C3111yescharacteristic
585C2×C4C2×#41×C3111yescharacteristic
586C2×C4C31×H(5,𝔽2)11yescharacteristic
587C2×C4C31×2−1+411yescharacteristic
588C8—22no—
589C8—22no—
590C8—41no—
591C8—41no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22C31×#47914yescomplemented
599C22C2×C31×C22⋊Q811yescharacteristic
600C22D42×C3111yescharacteristic
601C22C31×#54711yescharacteristic
602C22C2×C31×#13511yescharacteristic
603C22C2×C31×#13711yescharacteristic
604C22C31×#57711yescharacteristic
605C22C31×#57711yescharacteristic
606C4—22no—
607C4—41no—
608C4—42no—
609C4—41no—
610C4—42no—
611C4—41no—
612C4—42no—
613C4—41no—
614C4—42no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4—81no—
619C4C31×#52511yescharacteristic
620C4C31×#53911yescharacteristic
621C4D4×Q8×C3111yescharacteristic
622C4C31×#55411yescharacteristic
623C2—24no—
624C2C31×#244911yescharacteristic
625C2C2×C31×#47911yescharacteristic
626C2C31×#308411yescharacteristic
627C2C31×#326611yescharacteristic
628C2C31×#328211yescharacteristic
629C2C31×#333711yescharacteristic
630C2C31×#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×#479C2semidirect
5. C31×#2097C2semidirect
6. C31×#2088C2semidirect
7. C31×#2066C2semidirect
8. C31×#2059C2semidirect
9. C31×#1949C2semidirect
10. C31×#1920C2semidirect
13. C31×#1865C2semidirect
209. #26346C31direct (N × H)
277. C2×#479C2×C31semidirect
281. #2097C2×C31semidirect
282. #2088C2×C31semidirect
283. #2066C2×C31semidirect
284. #2059C2×C31semidirect
285. #1949C2×C31semidirect
286. #1920C2×C31semidirect
289. #1865C2×C31semidirect
298. C22×C31#479semidirect
445. C31#26346direct (N × H)
598. C22C31×#479semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#4792
C22×C31×#1062
C31×#24422
C31×#23602
C31×#20972
C31×#20882
C31×#20662
C31×#20592
C31×#19492
C31×#19202
C31×#18922
C31×#18722
C31×#18652
C31×#18522
C31×#18502
#2634631