Finite Group Databasebeta

← C31×#33054 #21489813

Subgroups — C31×#33054 #21489813

Order 7936.

872 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#489C211yesmaximal, characteristic, complemented
2C2×C31×#405C211yesmaximal, characteristic, complemented
3C31×#2628C211yesmaximal, characteristic, complemented
4C31×#2620C211yesmaximal, characteristic
5C31×#1990C211yesmaximal, characteristic, complemented
6C31×#1958C211yesmaximal, characteristic, complemented
7C31×#1936C211yesmaximal, characteristic, complemented
8C31×#1935C211yesmaximal, characteristic, complemented
9C31×#1934C211yesmaximal, characteristic, complemented
10C31×#1933C211yesmaximal, characteristic, complemented
11C31×#1895C211yesmaximal, characteristic
12C31×#1894C211yesmaximal, characteristic, complemented
13C31×#1893C211yesmaximal, characteristic
14C31×#1892C211yesmaximal, characteristic, complemented
15C31×#1836C211yesmaximal, characteristic, complemented
16C22×M16×C31C2211yescharacteristic
17C23×C8×C31C2211yescharacteristic
18C2×C31×C4⋊Q8C2211yescharacteristic
19C2×C31×#124C2211yescharacteristic
20C2×C31×C22⋊Q8C2211yescharacteristic
21C2×C31×#121C2211yescharacteristic
22C2×C31×#117C2211yescharacteristic
23C31×#489—24no—
24C2×C31×#103C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#103C2211yescharacteristic
27C2×C31×#103C2211yescharacteristic
28C2×C31×#102C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×#102C2211yescharacteristic
31C2×C31×#102C2211yescharacteristic
32C31×#405—24no—
33C2×C31×#97C2211yescharacteristic
34C2×C31×#97C2211yescharacteristic
35C2×C4×C8×C31C2211yescharacteristic
36C2×C4×C8×C31C2211yescharacteristic
37C31×#400—21no—
38C31×#399—21no—
39C31×#396—21no—
40C31×#396—21no—
41C31×#395—21no—
42C31×#394—21no—
43C31×#394—21no—
44C31×#393—21no—
45C31×#391C2211yescharacteristic
46C31×#390C2211yescharacteristic
47C31×#389C2211yescharacteristic
48C31×#389C2211yescharacteristic
49C31×#384C2211yescharacteristic
50C31×#382C2211yescharacteristic
51C31×#380C2211yescharacteristic
52C31×#380C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#340C2211yescharacteristic
60C31×#340C2211yescharacteristic
61C22×Q8×C31—21no—
62C22×Q8×C31C2311yescharacteristic
63C22×D4×C31—21no—
64C22×D4×C31C2311yescharacteristic
65C23×C4×C31C2311yescharacteristic
66C2×M16×C31—22no—
67C2×M16×C31—22no—
68C2×M16×C31—22no—
69C22×C8×C31—22no—
70C22×C8×C31—22no—
71C22×C8×C31—22no—
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C31×C4⋊Q8—22no—
77C31×C4⋊Q8—22no—
78C31×#124—22no—
79C31×#124—22no—
80C31×C22⋊Q8—22no—
81C31×C22⋊Q8—22no—
82C31×#121—22no—
83C31×#121—22no—
84C31×#117—22no—
85C31×#117—22no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31D411yescharacteristic
93C2×C4⋊C4×C31D411yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
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×C31D411yescharacteristic
109C2×C22⋊C4×C31D411yescharacteristic
110C2×C42×C31C2311yescharacteristic
111C2×C42×C31C2311yescharacteristic
112C31×#103—22no—
113C31×#103—22no—
114C31×#103—22no—
115C31×#103—22no—
116C31×#102—22no—
117C31×#102—22no—
118C31×#102—22no—
119C31×#102—22no—
120C31×#97—22no—
121C31×#97D414yescomplemented
122C4×C8×C31—22no—
123C4×C8×C31—22no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95—21no—
131C31×#95—21no—
132C24×C31—21no—
133C24×C31C2×D411yescharacteristic
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31—21no—
140C2×Q8×C31—42no—
141C2×Q8×C31—81no—
142C2×Q8×C31—81no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—21no—
146C2×D4×C31—21no—
147C2×D4×C31—21no—
148C2×D4×C31—21no—
149C2×D4×C31—42no—
150C2×D4×C31—81no—
151C2×D4×C31—81no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—21no—
162C22×C4×C31—21no—
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31#4112yes—
169C22×C4×C31#4112yes—
170C22×C4×C31C2411yescharacteristic
171M16×C31—28no—
172C2×C8×C31—28no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—21no—
178C2×C8×C31—21no—
179C2×C8×C31—21no—
180C2×C8×C31—21no—
181C2×C8×C31C2×D412yes—
182C2×C8×C31C2×D412yes—
183C2×C8×C31#4112yes—
184C2×C8×C31#4112yes—
185C4⋊C4×C31—22no—
186C4⋊C4×C31—22no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—21no—
194C4⋊C4×C31—21no—
195C4⋊C4×C31—21no—
196C4⋊C4×C31—21no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—42no—
201C4⋊C4×C31—81no—
202C4⋊C4×C31—81no—
203C4⋊C4×C31—81no—
204C4⋊C4×C31—81no—
205C22⋊C4×C31—22no—
206C22⋊C4×C31—22no—
207C22⋊C4×C31—42no—
208C22⋊C4×C31—42no—
209C22⋊C4×C31—42no—
210C22⋊C4×C31—42no—
211C22⋊C4×C31—81no—
212C22⋊C4×C31—81no—
213C22⋊C4×C31—81no—
214C22⋊C4×C31—81no—
215C42×C31—21no—
216C42×C31—21no—
217C42×C31C2×D412yes—
218C42×C31#4112yes—
219#33054C3111yesmaximal, characteristic, direct product factor, Sylow
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31—21no—
225C23×C31—21no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31—41no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31#12412yes—
234C23×C31C22×D411yescharacteristic
235Q8×C31—41no—
236Q8×C31—41no—
237Q8×C31—41no—
238Q8×C31—41no—
239Q8×C31—84no—
240D4×C31—41no—
241D4×C31—41no—
242D4×C31—41no—
243D4×C31—41no—
244D4×C31—84no—
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—22no—
252C2×C4×C31—22no—
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—21no—
260C2×C4×C31—21no—
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—41no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31#12112yes—
283C2×C4×C31#12112yes—
284C2×C4×C31#12412yes—
285C2×C4×C31C22×D411yescharacteristic
286C2×C4×C31C2×#4111yescharacteristic
287C2×C4×C31C2×#4111yescharacteristic
288C2×C4×C31C2×#4111yescharacteristic
289C2×C4×C31C2×#4111yescharacteristic
290C2×C4×C31C2×#4111yescharacteristic
291C8×C31—22no—
292C8×C31—22no—
293C8×C31—22no—
294C8×C31—22no—
295C2×#489C2×C3111yescharacteristic, complemented
296C2×#405C2×C3111yescharacteristic, complemented
297#2628C2×C3111yescharacteristic, complemented
298#2620C2×C3111yescharacteristic
299#1990C2×C3111yescharacteristic, complemented
300#1958C2×C3111yescharacteristic, complemented
301#1936C2×C3111yescharacteristic, complemented
302#1935C2×C3111yescharacteristic, complemented
303#1934C2×C3111yescharacteristic, complemented
304#1933C2×C3111yescharacteristic, complemented
305#1895C2×C3111yescharacteristic
306#1894C2×C3111yescharacteristic, complemented
307#1893C2×C3111yescharacteristic
308#1892C2×C3111yescharacteristic, complemented
309#1836C2×C3111yescharacteristic, complemented
310C22×C31—22no—
311C22×C31—22no—
312C22×C31—22no—
313C22×C31—41no—
314C22×C31—41no—
315C22×C31—41no—
316C22×C31—41no—
317C22×C31—81no—
318C22×C31—81no—
319C22×C31—81no—
320C22×C31—81no—
321C22×C31—81no—
322C22×C31—81no—
323C22×C31—81no—
324C22×C31C2×#12111yescharacteristic
325C22×C31C2×#12411yescharacteristic
326C22×C31#53211yescharacteristic
327C22×C31#57611yescharacteristic
328C22×C31#57711yescharacteristic
329C22×C31#57711yescharacteristic
330C22×C31#57811yescharacteristic
331C4×C31—22no—
332C4×C31—22no—
333C4×C31—22no—
334C4×C31—41no—
335C4×C31—41no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31—81no—
339C4×C31—81no—
340C4×C31—81no—
341C4×C31—81no—
342C4×C31—81no—
343C4×C31#52511yescharacteristic
344C4×C31#52511yescharacteristic
345C4×C31#52911yescharacteristic
346C4×C31#52911yescharacteristic
347C22×M16C22×C3111yescharacteristic
348C23×C8C22×C3111yescharacteristic
349C2×C4⋊Q8C22×C3111yescharacteristic
350C2×#124C22×C3111yescharacteristic
351C2×C22⋊Q8C22×C3111yescharacteristic
352C2×#121C22×C3111yescharacteristic
353C2×#117C22×C3111yescharacteristic
354#489—24no—
355C2×#103C22×C3111yescharacteristic
356C2×#103C22×C3111yescharacteristic
357C2×#103C22×C3111yescharacteristic
358C2×#103C22×C3111yescharacteristic
359C2×#102C22×C3111yescharacteristic
360C2×#102C22×C3111yescharacteristic
361C2×#102C22×C3111yescharacteristic
362C2×#102C22×C3111yescharacteristic
363#405—24no—
364C2×#97C22×C3111yescharacteristic
365C2×#97C22×C3111yescharacteristic
366C2×C4×C8C22×C3111yescharacteristic
367C2×C4×C8C22×C3111yescharacteristic
368#400—21no—
369#399—21no—
370#396—21no—
371#396—21no—
372#395—21no—
373#394—21no—
374#394—21no—
375#393—21no—
376#391C22×C3111yescharacteristic
377#390C22×C3111yescharacteristic
378#389C22×C3111yescharacteristic
379#389C22×C3111yescharacteristic
380#384C22×C3111yescharacteristic
381#382C22×C3111yescharacteristic
382#380C22×C3111yescharacteristic
383#380C22×C3111yescharacteristic
384#340C22×C3111yescharacteristic
385#340C22×C3111yescharacteristic
386#340C22×C3111yescharacteristic
387#340C22×C3111yescharacteristic
388#340C22×C3111yescharacteristic
389#340C22×C3111yescharacteristic
390#340C22×C3111yescharacteristic
391#340C22×C3111yescharacteristic
392C2×C31—42no—
393C2×C31—161no—
394C2×C31#285011yescharacteristic
395C2×C31#306211yescharacteristic
396C2×C31#306311yescharacteristic
397C2×C31#313611yescharacteristic
398C2×C31#313711yescharacteristic
399C2×C31#317311yescharacteristic
400C2×C31#317511yescharacteristic
401C22×Q8—21no—
402C22×Q8C23×C3111yescharacteristic
403C22×D4—21no—
404C22×D4C23×C3111yescharacteristic
405C23×C4C23×C3111yescharacteristic
406C2×M16—22no—
407C2×M16—22no—
408C2×M16—22no—
409C22×C8—22no—
410C22×C8—22no—
411C22×C8—22no—
412C22×C8C23×C3111yescharacteristic
413C22×C8C23×C3111yescharacteristic
414C22×C8C23×C3111yescharacteristic
415C22×C8C23×C3111yescharacteristic
416C4⋊Q8—22no—
417C4⋊Q8—22no—
418#124—22no—
419#124—22no—
420C22⋊Q8—22no—
421C22⋊Q8—22no—
422#121—22no—
423#121—22no—
424#117—22no—
425#117—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4D4×C3111yescharacteristic
433C2×C4⋊C4D4×C3111yescharacteristic
434C2×C4⋊C4C23×C3111yescharacteristic
435C2×C4⋊C4C23×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×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4D4×C3111yescharacteristic
449C2×C22⋊C4D4×C3111yescharacteristic
450C2×C42C23×C3111yescharacteristic
451C2×C42C23×C3111yescharacteristic
452#103—22no—
453#103—22no—
454#103—22no—
455#103—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#97—22no—
461#97D4×C3114yescomplemented
462C4×C8—22no—
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472C31#3305411yescharacteristic, direct product factor, Sylow
473C24—21no—
474C24C2×D4×C3111yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—42no—
482C2×Q8—81no—
483C2×Q8—81no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—42no—
491C2×D4—81no—
492C2×D4—81no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C2×D4×C3111yescharacteristic
506C22×C4C2×D4×C3111yescharacteristic
507C22×C4C2×D4×C3111yescharacteristic
508C22×C4C2×D4×C3111yescharacteristic
509C22×C4#41×C3112yes—
510C22×C4#41×C3112yes—
511C22×C4C24×C3111yescharacteristic
512M16—28no—
513C2×C8—28no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8C2×D4×C3112yes—
523C2×C8C2×D4×C3112yes—
524C2×C8#41×C3112yes—
525C2×C8#41×C3112yes—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4—81no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—81no—
554C22⋊C4—81no—
555C22⋊C4—81no—
556C42—21no—
557C42—21no—
558C42C2×D4×C3112yes—
559C42#41×C3112yes—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C31×#12412yes—
574C23C22×D4×C3111yescharacteristic
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—84no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—84no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
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—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×C4C31×#12112yes—
623C2×C4C31×#12112yes—
624C2×C4C31×#12412yes—
625C2×C4C22×D4×C3111yescharacteristic
626C2×C4C2×#41×C3111yescharacteristic
627C2×C4C2×#41×C3111yescharacteristic
628C2×C4C2×#41×C3111yescharacteristic
629C2×C4C2×#41×C3111yescharacteristic
630C2×C4C2×#41×C3111yescharacteristic
631C8—22no—
632C8—22no—
633C8—22no—
634C8—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C31×#12111yescharacteristic
650C22C2×C31×#12411yescharacteristic
651C22C31×#53211yescharacteristic
652C22C31×#57611yescharacteristic
653C22C31×#57711yescharacteristic
654C22C31×#57711yescharacteristic
655C22C31×#57811yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—41no—
660C4—41no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C31×#52511yescharacteristic
669C4C31×#52511yescharacteristic
670C4C31×#52911yescharacteristic
671C4C31×#52911yescharacteristic
672C2—42no—
673C2—161no—
674C2C31×#285011yescharacteristic
675C2C31×#306211yescharacteristic
676C2C31×#306311yescharacteristic
677C2C31×#313611yescharacteristic
678C2C31×#313711yescharacteristic
679C2C31×#317311yescharacteristic
680C2C31×#317511yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C31×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#489C2semidirect
2. C2×C31×#405C2semidirect
3. C31×#2628C2semidirect
5. C31×#1990C2semidirect
6. C31×#1958C2semidirect
7. C31×#1936C2semidirect
8. C31×#1935C2semidirect
9. C31×#1934C2semidirect
10. C31×#1933C2semidirect
12. C31×#1894C2semidirect
14. C31×#1892C2semidirect
15. C31×#1836C2semidirect
121. C31×#97D4semidirect
219. #33054C31direct (N × H)
295. C2×#489C2×C31semidirect
296. C2×#405C2×C31semidirect
297. #2628C2×C31semidirect
299. #1990C2×C31semidirect
300. #1958C2×C31semidirect
301. #1936C2×C31semidirect
302. #1935C2×C31semidirect
303. #1934C2×C31semidirect
304. #1933C2×C31semidirect
306. #1894C2×C31semidirect
308. #1892C2×C31semidirect
309. #1836C2×C31semidirect
461. #97D4×C31semidirect
472. C31#33054direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4892
C2×C31×#4052
C31×#26282
C31×#26202
C31×#19902
C31×#19582
C31×#19362
C31×#19352
C31×#19342
C31×#19332
C31×#18952
C31×#18942
C31×#18932
C31×#18922
C31×#18362
#3305431