Finite Group Databasebeta

← C31×#60524 #21517283

Subgroups — C31×#60524 #21517283

Order 7936.

2116 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3489C211yesmaximal, characteristic
2C31×#3428C211yesmaximal, characteristic, complemented
3C31×#3099C213yesmaximal, complemented
4C31×#3098C213yesmaximal, complemented
5C31×#3097C213yesmaximal, complemented
6C31×#3097C213yesmaximal, complemented
7C31×#3095C213yesmaximal, complemented
8C31×#3093C213yesmaximal, complemented
9C31×#3091C213yesmaximal, complemented
10C2×C31×#485C213yesmaximal, complemented
11C31×#2913C211yesmaximal, characteristic, complemented
12C31×#2912C211yesmaximal, characteristic, complemented
13C31×#2898C211yesmaximal, characteristic, complemented
14C31×#2898C211yesmaximal, characteristic, complemented
15C31×#2880C211yesmaximal, characteristic, complemented
16C2×C31×2−1+4C2211yescharacteristic
17C22×#41×C31C2211yescharacteristic
18C2×C31×#131C2211yescharacteristic
19C2×C31×#131C2211yescharacteristic
20D4×Q8×C31—21no—
21C31×#548—21no—
22C31×#547—23no—
23C31×#546—23no—
24C31×#537C2213yes—
25C31×#536C2213yes—
26C31×#525C2213yes—
27C2×C31×C22⋊Q8C2213yes—
28C31×#520C2213yes—
29C31×#520C2213yes—
30C31×#520C2211yescharacteristic
31C31×#520C2211yescharacteristic
32C31×#520C2211yescharacteristic
33C31×#519—21no—
34C31×#518—23no—
35C4×#41×C31—23no—
36C4×#41×C31—21no—
37C2×C31×#117C2213yes—
38C2×C31×#117C2213yes—
39C31×#485C2213yes—
40C31×#485C2216yes—
41C31×#485C2213yes—
42C31×#485C2216yescomplemented
43C31×#485C2216yescomplemented
44C31×#485C2216yescomplemented
45C31×#484C2213yescomplemented
46C31×#484C2216yescomplemented
47C31×#483C2213yescomplemented
48C31×#483C2216yescomplemented
49C31×#482C2211yescharacteristic
50C31×#482C2213yes—
51C31×#482C2216yescomplemented
52C31×#481C2213yescomplemented
53C31×#480C2213yescomplemented
54C31×#428C2213yescomplemented
55C31×#428C2213yescomplemented
56C31×#428C2213yescomplemented
57C31×#428C2213yescomplemented
58C31×#427C2213yescomplemented
59C31×#427C2213yescomplemented
60C2×C31×#107C2213yescomplemented
61C2×C31×#106C2213yescomplemented
62C31×#419C2213yescomplemented
63C31×#419C2213yescomplemented
64C31×#417C2213yescomplemented
65C31×#417C2213yescomplemented
66C31×#416C2213yescomplemented
67C31×#416C2213yescomplemented
68C2×C31×#103C2213yescomplemented
69C2×C31×#103C2213yescomplemented
70C31×#408C2213yes—
71C31×#408C2213yes—
72C31×#407C2213yes—
73C2×C31×C22⋊C8C2213yes—
74C31×2−1+4—24no—
75C31×2−1+4—24no—
76C2×#41×C31—24no—
77C2×#41×C31—24no—
78C2×#41×C31—23no—
79C2×#41×C31D413yes—
80C2×#41×C31D411yescharacteristic
81C2×#41×C31C2313yes—
82C2×#41×C31C2313yes—
83C2×#41×C31C2311yescharacteristic
84C22×Q8×C31—21no—
85C22×Q8×C31D411yescharacteristic
86C22×Q8×C31C2313yes—
87C22×D4×C31D413yes—
88C23×C4×C31C2313yes—
89C31×#131—24no—
90C31×#131—24no—
91C2×M16×C31C2313yes—
92C2×M16×C31C2313yes—
93C22×C8×C31C2313yes—
94C22×C8×C31C2313yes—
95C31×C4⋊Q8—23no—
96C31×#124—23no—
97C31×#123—26no—
98C31×#123—23no—
99C31×C22⋊Q8—23no—
100C31×C22⋊Q8—23no—
101C31×C22⋊Q8—23no—
102C31×C22⋊Q8C2316yes—
103C31×C22⋊Q8C2313yes—
104C31×C22⋊Q8C2313yes—
105C31×#121—26no—
106C31×#121—23no—
107C31×#121C2313yes—
108C31×#121C2311yescharacteristic
109C31×#120—23no—
110C4×Q8×C31—23no—
111C4×Q8×C31—23no—
112C4×Q8×C31—21no—
113C4×Q8×C31—21no—
114C4×Q8×C31—21no—
115C4×D4×C31—26no—
116C4×D4×C31—26no—
117C4×D4×C31—23no—
118C4×D4×C31—23no—
119C4×D4×C31—23no—
120C4×D4×C31—23no—
121C4×D4×C31—23no—
122C4×D4×C31—23no—
123C4×D4×C31—23no—
124C31×#117—23no—
125C31×#117—23no—
126C31×#117—23no—
127C31×#117—23no—
128C31×#117C2313yes—
129C31×#117C2313yes—
130C31×#117C2313yes—
131C31×#117C2311yescharacteristic
132C31×#117C2313yes—
133C31×#117C2316yes—
134C2×C4⋊C4×C31—23no—
135C2×C4⋊C4×C31C2313yes—
136C2×C4⋊C4×C31C2313yes—
137C2×C4⋊C4×C31C2313yes—
138C2×C4⋊C4×C31C2313yes—
139C2×C4⋊C4×C31C2313yes—
140C2×C22⋊C4×C31—23no—
141C2×C22⋊C4×C31—23no—
142C2×C22⋊C4×C31—23no—
143C2×C42×C31—23no—
144C2×C42×C31—23no—
145C31×#107C2313yes—
146C31×#107C2316yes—
147C31×#107C2311yescharacteristic
148C31×#107C2313yes—
149C31×#107C2313yes—
150C31×#106C2313yes—
151C31×#106C2316yes—
152C31×#106C2311yescharacteristic
153C31×#106C2313yes—
154C31×#106C2313yes—
155C31×#103C2313yes—
156C31×#103C2313yes—
157C31×#103C2316yes—
158C31×#103C2316yes—
159C31×#103C2313yes—
160C31×#103C2313yes—
161C31×#102C2311yescharacteristic
162C31×#102C2311yescharacteristic
163C31×#102C2313yes—
164C31×#102C2313yes—
165C31×C22⋊C8C2311yescharacteristic
166C31×C22⋊C8C2313yes—
167C31×C22⋊C8C2313yes—
168C31×C22⋊C8C2313yes—
169C31×C22⋊C8C2316yes—
170C24×C31C2×D413yes—
171#41×C31—24no—
172#41×C31—212no—
173#41×C31—26no—
174#41×C31—26no—
175#41×C31—26no—
176#41×C31—26no—
177#41×C31—412no—
178#41×C31#4114yes—
179#41×C31#4114yes—
180C2×Q8×C31—24no—
181C2×Q8×C31—23no—
182C2×Q8×C31—26no—
183C2×Q8×C31—26no—
184C2×Q8×C31—44no—
185C2×Q8×C31C2×D413yes—
186C2×Q8×C31C2×D411yescharacteristic
187C2×Q8×C31C2413yes—
188C2×D4×C31—212no—
189C2×D4×C31—21no—
190C2×D4×C31—23no—
191C2×D4×C31—23no—
192C2×D4×C31C2×D416yes—
193C2×D4×C31C2×D413yes—
194C2×D4×C31C2×D413yes—
195C2×D4×C31C2411yescharacteristic
196C22×C4×C31—26no—
197C22×C4×C31—26no—
198C22×C4×C31—23no—
199C22×C4×C31—23no—
200C22×C4×C31—23no—
201C22×C4×C31—23no—
202C22×C4×C31—23no—
203C22×C4×C31—23no—
204C22×C4×C31—23no—
205C22×C4×C31C2×D413yes—
206C22×C4×C31C2×D413yes—
207C22×C4×C31C2×D413yes—
208C22×C4×C31C2413yes—
209C22×C4×C31C2411yescharacteristic
210C22×C4×C31C2413yes—
211M16×C31—26no—
212M16×C31—26no—
213C2×C8×C31—26no—
214C2×C8×C31—26no—
215C2×C8×C31C2411yescharacteristic
216C2×C8×C31C2413yes—
217C2×C8×C31C2413yes—
218C2×C8×C31C2411yescharacteristic
219C4⋊C4×C31—23no—
220C4⋊C4×C31—26no—
221C4⋊C4×C31—23no—
222C4⋊C4×C31—23no—
223C4⋊C4×C31—23no—
224C4⋊C4×C31—23no—
225C4⋊C4×C31—23no—
226C4⋊C4×C31—23no—
227C4⋊C4×C31C2411yescharacteristic
228C4⋊C4×C31C2413yes—
229C4⋊C4×C31C2411yescharacteristic
230C4⋊C4×C31C2413yes—
231C4⋊C4×C31C2413yes—
232C4⋊C4×C31C2411yescharacteristic
233C22⋊C4×C31—23no—
234C22⋊C4×C31—21no—
235C22⋊C4×C31—23no—
236C22⋊C4×C31—26no—
237C22⋊C4×C31—23no—
238C22⋊C4×C31—23no—
239C22⋊C4×C31—26no—
240C22⋊C4×C31—23no—
241C22⋊C4×C31—23no—
242C22⋊C4×C31—21no—
243C22⋊C4×C31—23no—
244C42×C31—23no—
245C42×C31—21no—
246C42×C31—26no—
247C42×C31—23no—
248C42×C31—23no—
249C42×C31—23no—
250#60524C3111yesmaximal, characteristic, direct product factor, Sylow
251C23×C31—26no—
252C23×C31—21no—
253C23×C31—43no—
254C23×C31—43no—
255C23×C31C22×D411yescharacteristic
256C23×C31C22×D413yes—
257C23×C31C22×D413yes—
258Q8×C31—26no—
259Q8×C31—23no—
260Q8×C31—23no—
261Q8×C31—46no—
262Q8×C31#12314yes—
263D4×C31—212no—
264D4×C31—26no—
265D4×C31—21no—
266D4×C31—21no—
267D4×C31—42no—
268D4×C31—46no—
269D4×C31—83no—
270D4×C31#123112yes—
271C2×C4×C31—26no—
272C2×C4×C31—26no—
273C2×C4×C31—26no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—23no—
277C2×C4×C31—23no—
278C2×C4×C31—23no—
279C2×C4×C31—21no—
280C2×C4×C31—23no—
281C2×C4×C31—21no—
282C2×C4×C31—21no—
283C2×C4×C31—23no—
284C2×C4×C31—23no—
285C2×C4×C31—46no—
286C2×C4×C31—46no—
287C2×C4×C31—83no—
288C2×C4×C31—83no—
289C2×C4×C31—83no—
290C2×C4×C31—83no—
291C2×C4×C31—83no—
292C2×C4×C31C22×D411yescharacteristic
293C2×C4×C31C22×D413yes—
294C2×C4×C31C22×D413yes—
295C2×C4×C31C2×#4116yes—
296C2×C4×C31C2×#4116yes—
297C2×C4×C31C2511yescharacteristic
298C8×C31—21no—
299C8×C31—21no—
300C8×C31—23no—
301C8×C31—23no—
302#3489C2×C3111yescharacteristic
303#3428C2×C3111yescharacteristic, complemented
304#3099C2×C3113yescomplemented
305#3098C2×C3113yescomplemented
306#3097C2×C3113yescomplemented
307#3097C2×C3113yescomplemented
308#3095C2×C3113yescomplemented
309#3093C2×C3113yescomplemented
310#3091C2×C3113yescomplemented
311C2×#485C2×C3113yescomplemented
312#2913C2×C3111yescharacteristic, complemented
313#2912C2×C3111yescharacteristic, complemented
314#2898C2×C3111yescharacteristic, complemented
315#2898C2×C3111yescharacteristic, complemented
316#2880C2×C3111yescharacteristic, complemented
317C22×C31—23no—
318C22×C31—23no—
319C22×C31—23no—
320C22×C31—21no—
321C22×C31—23no—
322C22×C31—21no—
323C22×C31—21no—
324C22×C31—23no—
325C22×C31—41no—
326C22×C31—41no—
327C22×C31—41no—
328C22×C31—86no—
329C22×C31C2×#12316yes—
330C22×C31C23×D411yescharacteristic
331C4×C31—21no—
332C4×C31—23no—
333C4×C31—43no—
334C4×C31—41no—
335C4×C31—43no—
336C4×C31—43no—
337C4×C31—41no—
338C4×C31—41no—
339C4×C31—43no—
340C4×C31C2×#12316yes—
341C4×C31C22×#4111yescharacteristic
342C4×C31C22×#4111yescharacteristic
343C2×2−1+4C22×C3111yescharacteristic
344C22×#41C22×C3111yescharacteristic
345C2×#131C22×C3111yescharacteristic
346C2×#131C22×C3111yescharacteristic
347D4×Q8—21no—
348#548—21no—
349#547—23no—
350#546—23no—
351#537C22×C3113yes—
352#536C22×C3113yes—
353#525C22×C3113yes—
354C2×C22⋊Q8C22×C3113yes—
355#520C22×C3113yes—
356#520C22×C3113yes—
357#520C22×C3111yescharacteristic
358#520C22×C3111yescharacteristic
359#520C22×C3111yescharacteristic
360#519—21no—
361#518—23no—
362C4×#41—23no—
363C4×#41—21no—
364C2×#117C22×C3113yes—
365C2×#117C22×C3113yes—
366#485C22×C3113yes—
367#485C22×C3116yes—
368#485C22×C3113yes—
369#485C22×C3116yescomplemented
370#485C22×C3116yescomplemented
371#485C22×C3116yescomplemented
372#484C22×C3113yescomplemented
373#484C22×C3116yescomplemented
374#483C22×C3113yescomplemented
375#483C22×C3116yescomplemented
376#482C22×C3111yescharacteristic
377#482C22×C3113yes—
378#482C22×C3116yescomplemented
379#481C22×C3113yescomplemented
380#480C22×C3113yescomplemented
381#428C22×C3113yescomplemented
382#428C22×C3113yescomplemented
383#428C22×C3113yescomplemented
384#428C22×C3113yescomplemented
385#427C22×C3113yescomplemented
386#427C22×C3113yescomplemented
387C2×#107C22×C3113yescomplemented
388C2×#106C22×C3113yescomplemented
389#419C22×C3113yescomplemented
390#419C22×C3113yescomplemented
391#417C22×C3113yescomplemented
392#417C22×C3113yescomplemented
393#416C22×C3113yescomplemented
394#416C22×C3113yescomplemented
395C2×#103C22×C3113yescomplemented
396C2×#103C22×C3113yescomplemented
397#408C22×C3113yes—
398#408C22×C3113yes—
399#407C22×C3113yes—
400C2×C22⋊C8C22×C3113yes—
401C2×C31—26no—
402C2×C31—43no—
403C2×C31—41no—
404C2×C31—81no—
405C2×C31C22×#12311yescharacteristic
406C2×C31#358411yescharacteristic
407C2×C31#358611yescharacteristic
4082−1+4—24no—
4092−1+4—24no—
410C2×#41—24no—
411C2×#41—24no—
412C2×#41—23no—
413C2×#41D4×C3113yes—
414C2×#41D4×C3111yescharacteristic
415C2×#41C23×C3113yes—
416C2×#41C23×C3113yes—
417C2×#41C23×C3111yescharacteristic
418C22×Q8—21no—
419C22×Q8D4×C3111yescharacteristic
420C22×Q8C23×C3113yes—
421C22×D4D4×C3113yes—
422C23×C4C23×C3113yes—
423#131—24no—
424#131—24no—
425C2×M16C23×C3113yes—
426C2×M16C23×C3113yes—
427C22×C8C23×C3113yes—
428C22×C8C23×C3113yes—
429C4⋊Q8—23no—
430#124—23no—
431#123—26no—
432#123—23no—
433C22⋊Q8—23no—
434C22⋊Q8—23no—
435C22⋊Q8—23no—
436C22⋊Q8C23×C3113yes—
437C22⋊Q8C23×C3116yes—
438C22⋊Q8C23×C3113yes—
439#121—26no—
440#121—23no—
441#121C23×C3111yescharacteristic
442#121C23×C3113yes—
443#120—23no—
444C4×Q8—23no—
445C4×Q8—23no—
446C4×Q8—21no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×D4—26no—
450C4×D4—26no—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4—23no—
455C4×D4—23no—
456C4×D4—23no—
457C4×D4—23no—
458#117—23no—
459#117—23no—
460#117—23no—
461#117—23no—
462#117C23×C3113yes—
463#117C23×C3111yescharacteristic
464#117C23×C3113yes—
465#117C23×C3113yes—
466#117C23×C3116yes—
467#117C23×C3113yes—
468C2×C4⋊C4—23no—
469C2×C4⋊C4C23×C3113yes—
470C2×C4⋊C4C23×C3113yes—
471C2×C4⋊C4C23×C3113yes—
472C2×C4⋊C4C23×C3113yes—
473C2×C4⋊C4C23×C3113yes—
474C2×C22⋊C4—23no—
475C2×C22⋊C4—23no—
476C2×C22⋊C4—23no—
477C2×C42—23no—
478C2×C42—23no—
479#107C23×C3113yes—
480#107C23×C3116yes—
481#107C23×C3111yescharacteristic
482#107C23×C3113yes—
483#107C23×C3113yes—
484#106C23×C3113yes—
485#106C23×C3116yes—
486#106C23×C3111yescharacteristic
487#106C23×C3113yes—
488#106C23×C3113yes—
489#103C23×C3113yes—
490#103C23×C3113yes—
491#103C23×C3116yes—
492#103C23×C3116yes—
493#103C23×C3113yes—
494#103C23×C3113yes—
495#102C23×C3111yescharacteristic
496#102C23×C3111yescharacteristic
497#102C23×C3113yes—
498#102C23×C3113yes—
499C22⋊C8C23×C3111yescharacteristic
500C22⋊C8C23×C3113yes—
501C22⋊C8C23×C3113yes—
502C22⋊C8C23×C3113yes—
503C22⋊C8C23×C3116yes—
504C31#6052411yescharacteristic, direct product factor, Sylow
505C24C2×D4×C3113yes—
506#41—24no—
507#41—212no—
508#41—26no—
509#41—26no—
510#41—26no—
511#41—26no—
512#41—412no—
513#41#41×C3114yes—
514#41#41×C3114yes—
515C2×Q8—24no—
516C2×Q8—23no—
517C2×Q8—26no—
518C2×Q8—26no—
519C2×Q8—44no—
520C2×Q8C2×D4×C3113yes—
521C2×Q8C2×D4×C3111yescharacteristic
522C2×Q8C24×C3113yes—
523C2×D4—212no—
524C2×D4—21no—
525C2×D4—23no—
526C2×D4—23no—
527C2×D4C2×D4×C3116yes—
528C2×D4C2×D4×C3113yes—
529C2×D4C2×D4×C3113yes—
530C2×D4C24×C3111yescharacteristic
531C22×C4—26no—
532C22×C4—26no—
533C22×C4—23no—
534C22×C4—23no—
535C22×C4—23no—
536C22×C4—23no—
537C22×C4—23no—
538C22×C4—23no—
539C22×C4—23no—
540C22×C4C2×D4×C3113yes—
541C22×C4C2×D4×C3113yes—
542C22×C4C2×D4×C3113yes—
543C22×C4C24×C3113yes—
544C22×C4C24×C3111yescharacteristic
545C22×C4C24×C3113yes—
546M16—26no—
547M16—26no—
548C2×C8—26no—
549C2×C8—26no—
550C2×C8C24×C3111yescharacteristic
551C2×C8C24×C3113yes—
552C2×C8C24×C3113yes—
553C2×C8C24×C3111yescharacteristic
554C4⋊C4—23no—
555C4⋊C4—26no—
556C4⋊C4—23no—
557C4⋊C4—23no—
558C4⋊C4—23no—
559C4⋊C4—23no—
560C4⋊C4—23no—
561C4⋊C4—23no—
562C4⋊C4C24×C3111yescharacteristic
563C4⋊C4C24×C3113yes—
564C4⋊C4C24×C3111yescharacteristic
565C4⋊C4C24×C3113yes—
566C4⋊C4C24×C3113yes—
567C4⋊C4C24×C3111yescharacteristic
568C22⋊C4—23no—
569C22⋊C4—21no—
570C22⋊C4—23no—
571C22⋊C4—26no—
572C22⋊C4—23no—
573C22⋊C4—23no—
574C22⋊C4—26no—
575C22⋊C4—23no—
576C22⋊C4—23no—
577C22⋊C4—21no—
578C22⋊C4—23no—
579C42—23no—
580C42—21no—
581C42—26no—
582C42—23no—
583C42—23no—
584C42—23no—
585C23—26no—
586C23—21no—
587C23—43no—
588C23—43no—
589C23C22×D4×C3111yescharacteristic
590C23C22×D4×C3113yes—
591C23C22×D4×C3113yes—
592Q8—26no—
593Q8—23no—
594Q8—23no—
595Q8—46no—
596Q8C31×#12314yes—
597D4—212no—
598D4—26no—
599D4—21no—
600D4—21no—
601D4—42no—
602D4—46no—
603D4—83no—
604D4C31×#123112yes—
605C2×C4—26no—
606C2×C4—26no—
607C2×C4—26no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—23no—
611C2×C4—23no—
612C2×C4—23no—
613C2×C4—21no—
614C2×C4—23no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—23no—
618C2×C4—23no—
619C2×C4—46no—
620C2×C4—46no—
621C2×C4—83no—
622C2×C4—83no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—83no—
626C2×C4C22×D4×C3111yescharacteristic
627C2×C4C22×D4×C3113yes—
628C2×C4C22×D4×C3113yes—
629C2×C4C2×#41×C3116yes—
630C2×C4C2×#41×C3116yes—
631C2×C4C25×C3111yescharacteristic
632C8—21no—
633C8—21no—
634C8—23no—
635C8—23no—
636C22—23no—
637C22—23no—
638C22—21no—
639C22—23no—
640C22—23no—
641C22—21no—
642C22—23no—
643C22—21no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—86no—
648C22C2×C31×#12316yes—
649C22C23×D4×C3111yescharacteristic
650C4—21no—
651C4—23no—
652C4—43no—
653C4—43no—
654C4—41no—
655C4—43no—
656C4—43no—
657C4—41no—
658C4—41no—
659C4C2×C31×#12316yes—
660C4C22×#41×C3111yescharacteristic
661C4C22×#41×C3111yescharacteristic
662C2—26no—
663C2—41no—
664C2—43no—
665C2—81no—
666C2C22×C31×#12311yescharacteristic
667C2C31×#358411yescharacteristic
668C2C31×#358611yescharacteristic
subgroupG/H
center, socleC22×C31C23×D4
commutator, Frattini, cosocleC2×C4C25×C31
prime radicalC31×#3489C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C22×#41×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#3428C2semidirect
3. C31×#3099C2semidirect
4. C31×#3098C2semidirect
5. C31×#3097C2semidirect
6. C31×#3097C2semidirect
7. C31×#3095C2semidirect
8. C31×#3093C2semidirect
9. C31×#3091C2semidirect
10. C2×C31×#485C2semidirect
11. C31×#2913C2semidirect
12. C31×#2912C2semidirect
13. C31×#2898C2semidirect
14. C31×#2898C2semidirect
15. C31×#2880C2semidirect
42. C31×#485C22semidirect
43. C31×#485C22semidirect
44. C31×#485C22semidirect
45. C31×#484C22semidirect
46. C31×#484C22semidirect
47. C31×#483C22semidirect
48. C31×#483C22semidirect
51. C31×#482C22semidirect
52. C31×#481C22semidirect
53. C31×#480C22semidirect
54. C31×#428C22semidirect
55. C31×#428C22semidirect
56. C31×#428C22semidirect
57. C31×#428C22semidirect
58. C31×#427C22semidirect
59. C31×#427C22semidirect
60. C2×C31×#107C22semidirect
61. C2×C31×#106C22semidirect
62. C31×#419C22semidirect
63. C31×#419C22semidirect
64. C31×#417C22semidirect
65. C31×#417C22semidirect
66. C31×#416C22semidirect
67. C31×#416C22semidirect
68. C2×C31×#103C22semidirect
69. C2×C31×#103C22semidirect
250. #60524C31direct (N × H)
303. #3428C2×C31semidirect
304. #3099C2×C31semidirect
305. #3098C2×C31semidirect
306. #3097C2×C31semidirect
307. #3097C2×C31semidirect
308. #3095C2×C31semidirect
309. #3093C2×C31semidirect
310. #3091C2×C31semidirect
311. C2×#485C2×C31semidirect
312. #2913C2×C31semidirect
313. #2912C2×C31semidirect
314. #2898C2×C31semidirect
315. #2898C2×C31semidirect
316. #2880C2×C31semidirect
369. #485C22×C31semidirect
370. #485C22×C31semidirect
371. #485C22×C31semidirect
372. #484C22×C31semidirect
373. #484C22×C31semidirect
374. #483C22×C31semidirect
375. #483C22×C31semidirect
378. #482C22×C31semidirect
379. #481C22×C31semidirect
380. #480C22×C31semidirect
381. #428C22×C31semidirect
382. #428C22×C31semidirect
383. #428C22×C31semidirect
384. #428C22×C31semidirect
385. #427C22×C31semidirect
386. #427C22×C31semidirect
387. C2×#107C22×C31semidirect
388. C2×#106C22×C31semidirect
389. #419C22×C31semidirect
390. #419C22×C31semidirect
391. #417C22×C31semidirect
392. #417C22×C31semidirect
393. #416C22×C31semidirect
394. #416C22×C31semidirect
395. C2×#103C22×C31semidirect
396. C2×#103C22×C31semidirect
504. C31#60524direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34892
C31×#34282
C31×#30992
C31×#30982
C31×#30972
C31×#30952
C31×#30932
C31×#30912
C2×C31×#4852
C31×#29132
C31×#29122
C31×#28982
C31×#28802
#6052431