Finite Group Databasebeta

← C31×#26420 #21483179

Subgroups — C31×#26420 #21483179

Order 7936.

858 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2442C211yesmaximal, characteristic, complemented
2C31×#2361C211yesmaximal, characteristic
3C31×#2101C211yesmaximal, characteristic, complemented
4C31×#2087C211yesmaximal, characteristic, complemented
5C31×#2067C211yesmaximal, characteristic, complemented
6C31×#2025C211yesmaximal, characteristic, complemented
7C31×#1989C211yesmaximal, characteristic, complemented
8C31×#1921C211yesmaximal, characteristic, complemented
9C31×#1893C211yesmaximal, characteristic
10C31×#1874C211yesmaximal, characteristic
11C31×#1862C211yesmaximal, characteristic, complemented
12C31×#1852C211yesmaximal, characteristic, complemented
13C31×#1850C211yesmaximal, characteristic, complemented
14C31×#1804C211yesmaximal, characteristic, complemented
15C2×C31×#340C211yesmaximal, characteristic, complemented
16C23×C8×C31C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C31×#121C2211yescharacteristic
19C2×C4×D4×C31—21no—
20C2×C4×D4×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C2×C31×#107C2211yescharacteristic
24C2×C31×#107C2211yescharacteristic
25C2×C31×C4⋊C8C2211yescharacteristic
26C2×C31×C4⋊C8C2211yescharacteristic
27C2×C31×#102C2211yescharacteristic
28C2×C31×#102C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×#102C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C31×#400—21no—
33C31×#398—21no—
34C31×#390C2211yescharacteristic
35C31×#389C2211yescharacteristic
36C31×#389C2211yescharacteristic
37C31×#389C2211yescharacteristic
38C31×#388—21no—
39C31×#386—21no—
40C31×#385—21no—
41C31×#385—21no—
42C31×#382C2211yescharacteristic
43C31×#380—21no—
44C31×#380C2211yescharacteristic
45C4×C4⋊C4×C31C2211yescharacteristic
46C4×C22⋊C4×C31C2211yescharacteristic
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×D4×C31—21no—
60C22×D4×C31C2311yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31—21no—
64C23×C4×C31C2311yescharacteristic
65C22×C8×C31—22no—
66C22×C8×C31—41no—
67C22×C8×C31—41no—
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C31×#125—22no—
73C31×#125—41no—
74C31×#121—22no—
75C31×#121Q814yes—
76C4×D4×C31—22no—
77C4×D4×C31—41no—
78C4×D4×C31—44no—
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—41no—
89C2×C4⋊C4×C31—41no—
90C2×C4⋊C4×C31C2311yescharacteristic
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×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31D411yescharacteristic
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C42×C31—21no—
105C2×C42×C31C2311yescharacteristic
106C2×C42×C31C2311yescharacteristic
107C31×#107—22no—
108C31×#107—41no—
109C31×C4⋊C8—41no—
110C31×C4⋊C8—41no—
111C31×#102—22no—
112C31×#102—41no—
113C31×#102—41no—
114C31×#102—41no—
115C31×C22⋊C8—22no—
116C31×#95—21no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95D411yescharacteristic
124C31×#95D411yescharacteristic
125C24×C31—21no—
126C24×C31C2×D411yescharacteristic
127C2×D4×C31—24no—
128C2×D4×C31—21no—
129C2×D4×C31—21no—
130C2×D4×C31—21no—
131C2×D4×C31—21no—
132C2×D4×C31—21no—
133C2×D4×C31—42no—
134C2×D4×C31—42no—
135C2×D4×C31C2×Q812yes—
136C22×C4×C31—21no—
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—42no—
148C22×C4×C31—42no—
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×C31—81no—
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2×D411yescharacteristic
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×Q812yes—
162C22×C4×C31#4112yes—
163C22×C4×C31C2411yescharacteristic
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×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—44no—
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×C31C2×Q812yes—
196C4⋊C4×C31#4112yes—
197C4⋊C4×C31#4112yes—
198C22⋊C4×C31—22no—
199C22⋊C4×C31—22no—
200C22⋊C4×C31—24no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—81no—
205C42×C31—21no—
206C42×C31—21no—
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—42no—
210#26420C3111yesmaximal, characteristic, direct product factor, Sylow
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—22no—
216C23×C31—41no—
217C23×C31—41no—
218C23×C31—41no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31C22⋊Q812yes—
223C23×C31#13512yes—
224C23×C31AGL(1,ℤ/8)12yes—
225C23×C31C22×D411yescharacteristic
226D4×C31—22no—
227D4×C31—22no—
228D4×C31—48no—
229D4×C31—41no—
230D4×C31—41no—
231C2×C4×C31—21no—
232C2×C4×C31—21no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
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—41no—
269C2×C4×C31—41no—
270C2×C4×C31—84no—
271C2×C4×C31—84no—
272C2×C4×C31—84no—
273C2×C4×C31C22⋊Q812yes—
274C2×C4×C31C22×Q811yescharacteristic
275C2×C4×C31C2×#4111yescharacteristic
276C2×C4×C31C2×#4111yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31H(5,𝔽2)11yescharacteristic
279C2×C4×C31H(5,𝔽2)11yescharacteristic
280C8×C31—41no—
281C8×C31—41no—
282C8×C31—41no—
283C8×C31—41no—
284#2442C2×C3111yescharacteristic, complemented
285#2361C2×C3111yescharacteristic
286#2101C2×C3111yescharacteristic, complemented
287#2087C2×C3111yescharacteristic, complemented
288#2067C2×C3111yescharacteristic, complemented
289#2025C2×C3111yescharacteristic, complemented
290#1989C2×C3111yescharacteristic, complemented
291#1921C2×C3111yescharacteristic, complemented
292#1893C2×C3111yescharacteristic
293#1874C2×C3111yescharacteristic
294#1862C2×C3111yescharacteristic, complemented
295#1852C2×C3111yescharacteristic, complemented
296#1850C2×C3111yescharacteristic, complemented
297#1804C2×C3111yescharacteristic, complemented
298C2×#340C2×C3111yescharacteristic, complemented
299C22×C31—22no—
300C22×C31—22no—
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—42no—
306C22×C31—42no—
307C22×C31—42no—
308C22×C31—81no—
309C22×C31—81no—
310C22×C31—81no—
311C22×C31—81no—
312C22×C31#47814yes—
313C22×C31C2×C22⋊Q811yescharacteristic
314C22×C31#54611yescharacteristic
315C22×C31#54611yescharacteristic
316C22×C31C2×#13511yescharacteristic
317C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C31#57611yescharacteristic
319C22×C31#57811yescharacteristic
320C4×C31—22no—
321C4×C31—42no—
322C4×C31—41no—
323C4×C31—42no—
324C4×C31—41no—
325C4×C31—41no—
326C4×C31—41no—
327C4×C31—42no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31#52911yescharacteristic
333C4×C31#53811yescharacteristic
334C4×C31#55411yescharacteristic
335C4×C31#55411yescharacteristic
336C23×C8C22×C3111yescharacteristic
337C2×#125C22×C3111yescharacteristic
338C2×#121C22×C3111yescharacteristic
339C2×C4×D4—21no—
340C2×C4×D4C22×C3111yescharacteristic
341C22×C4⋊C4C22×C3111yescharacteristic
342C22×C4⋊C4C22×C3111yescharacteristic
343C2×#107C22×C3111yescharacteristic
344C2×#107C22×C3111yescharacteristic
345C2×C4⋊C8C22×C3111yescharacteristic
346C2×C4⋊C8C22×C3111yescharacteristic
347C2×#102C22×C3111yescharacteristic
348C2×#102C22×C3111yescharacteristic
349C2×#102C22×C3111yescharacteristic
350C2×#102C22×C3111yescharacteristic
351C2×C22⋊C8C22×C3111yescharacteristic
352#400—21no—
353#398—21no—
354#390C22×C3111yescharacteristic
355#389C22×C3111yescharacteristic
356#389C22×C3111yescharacteristic
357#389C22×C3111yescharacteristic
358#388—21no—
359#386—21no—
360#385—21no—
361#385—21no—
362#382C22×C3111yescharacteristic
363#380—21no—
364#380C22×C3111yescharacteristic
365C4×C4⋊C4C22×C3111yescharacteristic
366C4×C22⋊C4C22×C3111yescharacteristic
367#340C22×C3111yescharacteristic
368#340C22×C3111yescharacteristic
369#340C22×C3111yescharacteristic
370#340C22×C3111yescharacteristic
371#340C22×C3111yescharacteristic
372#340C22×C3111yescharacteristic
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#336C22×C3111yescharacteristic
378#336C22×C3111yescharacteristic
379C2×C31—24no—
380C2×C31—82no—
381C2×C31#245011yescharacteristic
382C2×C31C2×#47811yescharacteristic
383C2×C31#308311yescharacteristic
384C2×C31#329711yescharacteristic
385C2×C31#330011yescharacteristic
386C2×C31#330811yescharacteristic
387C2×C31#331811yescharacteristic
388C22×D4—21no—
389C22×D4C23×C3111yescharacteristic
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4C23×C3111yescharacteristic
394C22×C8—22no—
395C22×C8—41no—
396C22×C8—41no—
397C22×C8C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399C22×C8C23×C3111yescharacteristic
400C22×C8C23×C3111yescharacteristic
401#125—22no—
402#125—41no—
403#121—22no—
404#121Q8×C3114yes—
405C4×D4—22no—
406C4×D4—41no—
407C4×D4—44no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—41no—
418C2×C4⋊C4—41no—
419C2×C4⋊C4C23×C3111yescharacteristic
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⋊C4D4×C3111yescharacteristic
432C2×C22⋊C4D4×C3111yescharacteristic
433C2×C42—21no—
434C2×C42C23×C3111yescharacteristic
435C2×C42C23×C3111yescharacteristic
436#107—22no—
437#107—41no—
438C4⋊C8—41no—
439C4⋊C8—41no—
440#102—22no—
441#102—41no—
442#102—41no—
443#102—41no—
444C22⋊C8—22no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95D4×C3111yescharacteristic
453#95D4×C3111yescharacteristic
454C31#2642011yescharacteristic, direct product factor, Sylow
455C24—21no—
456C24C2×D4×C3111yescharacteristic
457C2×D4—24no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4C2×Q8×C3112yes—
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—21no—
476C22×C4—21no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4C2×D4×C3111yescharacteristic
487C22×C4C2×D4×C3111yescharacteristic
488C22×C4C2×D4×C3111yescharacteristic
489C22×C4C2×D4×C3111yescharacteristic
490C22×C4C2×D4×C3111yescharacteristic
491C22×C4C2×Q8×C3112yes—
492C22×C4#41×C3112yes—
493C22×C4C24×C3111yescharacteristic
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—44no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4C2×Q8×C3112yes—
526C4⋊C4#41×C3112yes—
527C4⋊C4#41×C3112yes—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—24no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—42no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—22no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23C31×C22⋊Q812yes—
552C23C31×#13512yes—
553C23C31×AGL(1,ℤ/8)12yes—
554C23C22×D4×C3111yescharacteristic
555D4—22no—
556D4—22no—
557D4—48no—
558D4—41no—
559D4—41no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
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—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—84no—
600C2×C4—84no—
601C2×C4—84no—
602C2×C4C31×C22⋊Q812yes—
603C2×C4C22×Q8×C3111yescharacteristic
604C2×C4C2×#41×C3111yescharacteristic
605C2×C4C2×#41×C3111yescharacteristic
606C2×C4C2×#41×C3111yescharacteristic
607C2×C4C31×H(5,𝔽2)11yescharacteristic
608C2×C4C31×H(5,𝔽2)11yescharacteristic
609C8—41no—
610C8—41no—
611C8—41no—
612C8—41no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22C31×#47814yes—
627C22C2×C31×C22⋊Q811yescharacteristic
628C22C31×#54611yescharacteristic
629C22C31×#54611yescharacteristic
630C22C2×C31×#13511yescharacteristic
631C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
632C22C31×#57611yescharacteristic
633C22C31×#57811yescharacteristic
634C4—22no—
635C4—41no—
636C4—42no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—42no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C31×#52911yescharacteristic
647C4C31×#53811yescharacteristic
648C4C31×#55411yescharacteristic
649C4C31×#55411yescharacteristic
650C2—24no—
651C2—82no—
652C2C31×#245011yescharacteristic
653C2C2×C31×#47811yescharacteristic
654C2C31×#308311yescharacteristic
655C2C31×#329711yescharacteristic
656C2C31×#330011yescharacteristic
657C2C31×#330811yescharacteristic
658C2C31×#331811yescharacteristic
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×#2442C2semidirect
3. C31×#2101C2semidirect
4. C31×#2087C2semidirect
5. C31×#2067C2semidirect
6. C31×#2025C2semidirect
7. C31×#1989C2semidirect
8. C31×#1921C2semidirect
11. C31×#1862C2semidirect
12. C31×#1852C2semidirect
13. C31×#1850C2semidirect
14. C31×#1804C2semidirect
15. C2×C31×#340C2semidirect
210. #26420C31direct (N × H)
284. #2442C2×C31semidirect
286. #2101C2×C31semidirect
287. #2087C2×C31semidirect
288. #2067C2×C31semidirect
289. #2025C2×C31semidirect
290. #1989C2×C31semidirect
291. #1921C2×C31semidirect
294. #1862C2×C31semidirect
295. #1852C2×C31semidirect
296. #1850C2×C31semidirect
297. #1804C2×C31semidirect
298. C2×#340C2×C31semidirect
454. C31#26420direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24422
C31×#23612
C31×#21012
C31×#20872
C31×#20672
C31×#20252
C31×#19892
C31×#19212
C31×#18932
C31×#18742
C31×#18622
C31×#18522
C31×#18502
C31×#18042
C2×C31×#3402
#2642031