Finite Group Databasebeta

← C2×C31×#1898 #21477740

Subgroups — C2×C31×#1898 #21477740

Order 7936.

3746 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#120C211yesmaximal, characteristic
2C23×C22⋊C4×C31C211yesmaximal, characteristic, complemented
3C22×C31×#99C212yesmaximal, complemented
4C2×C31×#379C211yesmaximal, characteristic, complemented
5C31×#1898C218yesmaximal, direct product factor
6C2×C31×#342C212yesmaximal, complemented
7C26×C31C2211yescharacteristic
8C23×D4×C31C412yescomplemented
9C23×D4×C31C2211yescharacteristic
10C24×C4×C31—21no—
11C2×C31×#120—21no—
12C2×C31×#120—22no—
13C2×C31×#120—22no—
14C2×C31×#120—21no—
15C2×C31×#120—22no—
16C2×C31×#120C414yescomplemented
17C2×C31×#120C2214yes—
18C22×C22⋊C4×C31—22no—
19C22×C22⋊C4×C31—21no—
20C22×C22⋊C4×C31—28no—
21C22×C22⋊C4×C31—22no—
22C22×C22⋊C4×C31C412yescomplemented
23C22×C22⋊C4×C31C2212yes—
24C22×C22⋊C4×C31C2211yescharacteristic
25C22×C22⋊C4×C31C2212yes—
26C22×C22⋊C4×C31C2214yescomplemented
27C2×C31×#99—28no—
28C2×C31×#99C2218yescomplemented
29C31×#379—22no—
30C31×#379C2214yescomplemented
31C31×#342C2218yescomplemented
32C25×C31—24no—
33C25×C31—24no—
34C25×C31—48no—
35C25×C31C2×C412yes—
36C25×C31C2×C412yes—
37C25×C31C2×C411yescharacteristic, complemented
38C25×C31D411yescharacteristic
39C25×C31D412yes—
40C25×C31D411yescharacteristic
41C25×C31D412yes—
42C25×C31D412yes—
43C25×C31C2312yes—
44C25×C31C2311yescharacteristic
45C22×D4×C31—24no—
46C22×D4×C31—22no—
47C22×D4×C31—22no—
48C22×D4×C31—24no—
49C22×D4×C31—21no—
50C22×D4×C31—21no—
51C22×D4×C31—21no—
52C22×D4×C31—21no—
53C22×D4×C31—24no—
54C22×D4×C31—48no—
55C22×D4×C31C2×C412yescomplemented
56C22×D4×C31C2×C418yescomplemented
57C22×D4×C31C2312yes—
58C23×C4×C31—28no—
59C23×C4×C31—22no—
60C23×C4×C31—24no—
61C23×C4×C31—22no—
62C23×C4×C31—48no—
63C23×C4×C31C2×C411yescharacteristic, complemented
64C23×C4×C31C2×C412yescomplemented
65C31×#120—24no—
66C31×#120—28no—
67C31×#120—24no—
68C31×#120—24no—
69C31×#120—28no—
70C31×#120—24no—
71C2×C22⋊C4×C31—28no—
72C2×C22⋊C4×C31—216no—
73C2×C22⋊C4×C31—24no—
74C2×C22⋊C4×C31—22no—
75C2×C22⋊C4×C31—22no—
76C2×C22⋊C4×C31—22no—
77C2×C22⋊C4×C31—24no—
78C2×C22⋊C4×C31—24no—
79C2×C22⋊C4×C31—21no—
80C2×C22⋊C4×C31—21no—
81C2×C22⋊C4×C31—21no—
82C2×C22⋊C4×C31—21no—
83C2×C22⋊C4×C31—216no—
84C2×C22⋊C4×C31—24no—
85C2×C22⋊C4×C31—24no—
86C2×C22⋊C4×C31—28no—
87C2×C22⋊C4×C31—22no—
88C2×C22⋊C4×C31—48no—
89C2×C22⋊C4×C31C2×C418yescomplemented
90C2×C22⋊C4×C31C2×C412yescomplemented
91C2×C22⋊C4×C31D418yescomplemented
92C2×C22⋊C4×C31C2314yes—
93C2×C22⋊C4×C31C2312yes—
94C2×C22⋊C4×C31C2314yes—
95C31×#99—216no—
96C24×C31—28no—
97C24×C31—22no—
98C24×C31—22no—
99C24×C31—28no—
100C24×C31—28no—
101C24×C31—28no—
102C24×C31—28no—
103C24×C31—24no—
104C24×C31—22no—
105C24×C31—28no—
106C24×C31—28no—
107C24×C31—24no—
108C24×C31—22no—
109C24×C31—24no—
110C24×C31—24no—
111C24×C31—21no—
112C24×C31—21no—
113C24×C31—24no—
114C24×C31—44no—
115C24×C31—48no—
116C24×C31—44no—
117C24×C31—44no—
118C24×C31—48no—
119C24×C31—48no—
120C24×C31—44no—
121C24×C31—48no—
122C24×C31—432no—
123C24×C31—432no—
124C24×C31—44no—
125C24×C31C22⋊C412yes—
126C24×C31C22⋊C412yes—
127C24×C31C22⋊C414yes—
128C24×C31C22⋊C414yes—
129C24×C31C22⋊C412yes—
130C24×C31C22⋊C412yes—
131C24×C31C22×C414yes—
132C24×C31C22×C411yescharacteristic
133C24×C31C22×C411yescharacteristic
134C24×C31C22×C412yescomplemented
135C24×C31C2×D412yes—
136C24×C31C2×D414yes—
137C24×C31C2×D411yescharacteristic
138C24×C31C2×D411yescharacteristic
139C24×C31C2×D412yes—
140C24×C31C2×D411yescharacteristic
141C24×C31C2×D411yescharacteristic
142C24×C31C2×D414yes—
143C24×C31#4114yes—
144C24×C31C2411yescharacteristic
145C2×D4×C31—28no—
146C2×D4×C31—22no—
147C2×D4×C31—22no—
148C2×D4×C31—28no—
149C2×D4×C31—28no—
150C2×D4×C31—24no—
151C2×D4×C31—22no—
152C2×D4×C31—22no—
153C2×D4×C31—24no—
154C2×D4×C31—416no—
155C2×D4×C31—48no—
156C2×D4×C31—48no—
157C2×D4×C31—42no—
158C2×D4×C31—42no—
159C2×D4×C31—44no—
160C2×D4×C31—44no—
161C2×D4×C31—42no—
162C2×D4×C31—42no—
163C2×D4×C31—416no—
164C22×C4×C31—216no—
165C22×C4×C31—22no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—22no—
169C22×C4×C31—24no—
170C22×C4×C31—28no—
171C22×C4×C31—24no—
172C22×C4×C31—24no—
173C22×C4×C31—432no—
174C22×C4×C31—48no—
175C22×C4×C31—416no—
176C22×C4×C31—44no—
177C22×C4×C31—48no—
178C22×C4×C31—44no—
179C22×C4×C31C22×C412yescomplemented
180C22×C4×C31C22×C414yescomplemented
181C22⋊C4×C31—216no—
182C22⋊C4×C31—28no—
183C22⋊C4×C31—22no—
184C22⋊C4×C31—22no—
185C22⋊C4×C31—28no—
186C22⋊C4×C31—28no—
187C22⋊C4×C31—24no—
188C22⋊C4×C31—22no—
189C22⋊C4×C31—22no—
190C22⋊C4×C31—24no—
191C22⋊C4×C31—24no—
192C22⋊C4×C31—416no—
193C22⋊C4×C31—44no—
194C22⋊C4×C31C2×D418yescomplemented
195C2×#1898C3111yesmaximal, characteristic, direct product factor, Sylow
196C23×C31—216no—
197C23×C31—216no—
198C23×C31—22no—
199C23×C31—22no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—24no—
203C23×C31—24no—
204C23×C31—24no—
205C23×C31—24no—
206C23×C31—28no—
207C23×C31—28no—
208C23×C31—28no—
209C23×C31—22no—
210C23×C31—28no—
211C23×C31—22no—
212C23×C31—28no—
213C23×C31—28no—
214C23×C31—24no—
215C23×C31—24no—
216C23×C31—24no—
217C23×C31—24no—
218C23×C31—28no—
219C23×C31—28no—
220C23×C31—28no—
221C23×C31—28no—
222C23×C31—22no—
223C23×C31—24no—
224C23×C31—44no—
225C23×C31—44no—
226C23×C31—44no—
227C23×C31—42no—
228C23×C31—44no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—44no—
232C23×C31—44no—
233C23×C31—48no—
234C23×C31—48no—
235C23×C31—42no—
236C23×C31—432no—
237C23×C31—432no—
238C23×C31—416no—
239C23×C31—416no—
240C23×C31—432no—
241C23×C31—432no—
242C23×C31—416no—
243C23×C31—416no—
244C23×C31—48no—
245C23×C31—48no—
246C23×C31—44no—
247C23×C31—44no—
248C23×C31—42no—
249C23×C31—42no—
250C23×C31—44no—
251C23×C31—88no—
252C23×C31#9918yescomplemented
253C23×C31C2×C22⋊C414yes—
254C23×C31C2×C22⋊C411yescharacteristic
255C23×C31C2×C22⋊C411yescharacteristic
256C23×C31C2×C22⋊C411yescharacteristic
257C23×C31C2×C22⋊C414yes—
258C23×C31C2×C22⋊C411yescharacteristic
259C23×C31C4×D414yes—
260C23×C31C4×D414yes—
261C23×C31#12012yes—
262C23×C31#12012yes—
263C23×C31#12114yes—
264C23×C31#12114yes—
265C23×C31#12312yes—
266C23×C31#12312yes—
267C23×C31C23×C411yescharacteristic
268C23×C31C22×D411yescharacteristic
269C23×C31C22×D411yescharacteristic
270C23×C31C22×D412yes—
271C23×C31C2×#4112yes—
272D4×C31—416no—
273D4×C31—42no—
274D4×C31—44no—
275D4×C31—42no—
276D4×C31—44no—
277D4×C31—44no—
278D4×C31—416no—
279C2×C4×C31—24no—
280C2×C4×C31—22no—
281C2×C4×C31—24no—
282C2×C4×C31—28no—
283C2×C4×C31—432no—
284C2×C4×C31—48no—
285C2×C4×C31—416no—
286C2×C4×C31—44no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—44no—
290C2×C4×C31—44no—
291C2×C4×C31—48no—
292C2×C4×C31—44no—
293C2×C4×C31—88no—
294C22×#120C2×C3111yescharacteristic
295C23×C22⋊C4C2×C3111yescharacteristic, complemented
296C22×#99C2×C3112yescomplemented
297C2×#379C2×C3111yescharacteristic, complemented
298#1898C2×C3118yesdirect product factor
299C2×#342C2×C3112yescomplemented
300C22×C31—28no—
301C22×C31—28no—
302C22×C31—216no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—24no—
309C22×C31—22no—
310C22×C31—24no—
311C22×C31—28no—
312C22×C31—216no—
313C22×C31—24no—
314C22×C31—28no—
315C22×C31—24no—
316C22×C31—24no—
317C22×C31—24no—
318C22×C31—24no—
319C22×C31—44no—
320C22×C31—42no—
321C22×C31—44no—
322C22×C31—42no—
323C22×C31—42no—
324C22×C31—42no—
325C22×C31—416no—
326C22×C31—416no—
327C22×C31—416no—
328C22×C31—416no—
329C22×C31—44no—
330C22×C31—44no—
331C22×C31—48no—
332C22×C31—48no—
333C22×C31—44no—
334C22×C31—42no—
335C22×C31—84no—
336C22×C31—84no—
337C22×C31—84no—
338C22×C31#38612yes—
339C22×C31#38612yes—
340C22×C31#38612yes—
341C22×C31#38612yes—
342C22×C31C2×#9914yes—
343C22×C31C2×#9918yescomplemented
344C22×C31C22×C22⋊C411yescharacteristic
345C22×C31C2×C4×D412yes—
346C22×C31C2×#12011yescharacteristic
347C22×C31C2×#12112yes—
348C22×C31C2×#12311yescharacteristic
349C4×C31—48no—
350C4×C31—44no—
351C4×C31—42no—
352C4×C31—84no—
353C26C22×C3111yescharacteristic
354C23×D4C4×C3112yescomplemented
355C23×D4C22×C3111yescharacteristic
356C24×C4—21no—
357C2×#120—21no—
358C2×#120—22no—
359C2×#120—21no—
360C2×#120—22no—
361C2×#120—22no—
362C2×#120C4×C3114yescomplemented
363C2×#120C22×C3114yes—
364C22×C22⋊C4—22no—
365C22×C22⋊C4—21no—
366C22×C22⋊C4—28no—
367C22×C22⋊C4—22no—
368C22×C22⋊C4C4×C3112yescomplemented
369C22×C22⋊C4C22×C3112yes—
370C22×C22⋊C4C22×C3111yescharacteristic
371C22×C22⋊C4C22×C3112yes—
372C22×C22⋊C4C22×C3114yescomplemented
373C2×#99—28no—
374C2×#99C22×C3118yescomplemented
375#379—22no—
376#379C22×C3114yescomplemented
377#342C22×C3118yescomplemented
378C2×C31—21no—
379C2×C31—22no—
380C2×C31—21no—
381C2×C31—22no—
382C2×C31—28no—
383C2×C31—22no—
384C2×C31—22no—
385C2×C31—22no—
386C2×C31—44no—
387C2×C31—82no—
388C2×C31#189814yesdirect product factor
389C2×C31C2×#38611yescharacteristic
390C2×C31C22×#9912yes—
391C25—24no—
392C25—24no—
393C25—48no—
394C25C2×C4×C3112yes—
395C25C2×C4×C3112yes—
396C25C2×C4×C3111yescharacteristic, complemented
397C25D4×C3111yescharacteristic
398C25D4×C3112yes—
399C25D4×C3111yescharacteristic
400C25D4×C3112yes—
401C25D4×C3112yes—
402C25C23×C3112yes—
403C25C23×C3111yescharacteristic
404C22×D4—22no—
405C22×D4—24no—
406C22×D4—22no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—24no—
412C22×D4—24no—
413C22×D4—48no—
414C22×D4C2×C4×C3112yescomplemented
415C22×D4C2×C4×C3118yescomplemented
416C22×D4C23×C3112yes—
417C23×C4—28no—
418C23×C4—22no—
419C23×C4—24no—
420C23×C4—22no—
421C23×C4—48no—
422C23×C4C2×C4×C3111yescharacteristic, complemented
423C23×C4C2×C4×C3112yescomplemented
424#120—24no—
425#120—28no—
426#120—24no—
427#120—24no—
428#120—28no—
429#120—24no—
430C2×C22⋊C4—28no—
431C2×C22⋊C4—216no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—216no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—28no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—48no—
448C2×C22⋊C4C2×C4×C3118yescomplemented
449C2×C22⋊C4C2×C4×C3112yescomplemented
450C2×C22⋊C4D4×C3118yescomplemented
451C2×C22⋊C4C23×C3114yes—
452C2×C22⋊C4C23×C3112yes—
453C2×C22⋊C4C23×C3114yes—
454#99—216no—
455C31C2×#189811yescharacteristic, direct product factor, Sylow
456C24—28no—
457C24—22no—
458C24—22no—
459C24—28no—
460C24—28no—
461C24—28no—
462C24—28no—
463C24—24no—
464C24—22no—
465C24—28no—
466C24—28no—
467C24—24no—
468C24—22no—
469C24—24no—
470C24—24no—
471C24—21no—
472C24—21no—
473C24—24no—
474C24—44no—
475C24—48no—
476C24—44no—
477C24—44no—
478C24—48no—
479C24—48no—
480C24—44no—
481C24—48no—
482C24—432no—
483C24—432no—
484C24—44no—
485C24C22⋊C4×C3112yes—
486C24C22⋊C4×C3112yes—
487C24C22⋊C4×C3114yes—
488C24C22⋊C4×C3114yes—
489C24C22⋊C4×C3112yes—
490C24C22⋊C4×C3112yes—
491C24C22×C4×C3114yes—
492C24C22×C4×C3111yescharacteristic
493C24C22×C4×C3111yescharacteristic
494C24C22×C4×C3112yescomplemented
495C24C2×D4×C3112yes—
496C24C2×D4×C3114yes—
497C24C2×D4×C3111yescharacteristic
498C24C2×D4×C3111yescharacteristic
499C24C2×D4×C3112yes—
500C24C2×D4×C3111yescharacteristic
501C24C2×D4×C3111yescharacteristic
502C24C2×D4×C3114yes—
503C24#41×C3114yes—
504C24C24×C3111yescharacteristic
505C2×D4—28no—
506C2×D4—28no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—28no—
510C2×D4—24no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—24no—
514C2×D4—416no—
515C2×D4—48no—
516C2×D4—48no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—44no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—416no—
524C22×C4—216no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—24no—
530C22×C4—28no—
531C22×C4—24no—
532C22×C4—24no—
533C22×C4—432no—
534C22×C4—48no—
535C22×C4—416no—
536C22×C4—44no—
537C22×C4—48no—
538C22×C4—44no—
539C22×C4C22×C4×C3112yescomplemented
540C22×C4C22×C4×C3114yescomplemented
541C22⋊C4—216no—
542C22⋊C4—28no—
543C22⋊C4—28no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—28no—
547C22⋊C4—24no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—416no—
553C22⋊C4—44no—
554C22⋊C4C2×D4×C3118yescomplemented
555C23—216no—
556C23—216no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—28no—
562C23—28no—
563C23—22no—
564C23—22no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—28no—
573C23—28no—
574C23—22no—
575C23—28no—
576C23—22no—
577C23—28no—
578C23—28no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—24no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—42no—
587C23—44no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—44no—
592C23—48no—
593C23—48no—
594C23—42no—
595C23—432no—
596C23—432no—
597C23—416no—
598C23—416no—
599C23—432no—
600C23—432no—
601C23—416no—
602C23—416no—
603C23—48no—
604C23—48no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—42no—
609C23—42no—
610C23—88no—
611C23C31×#9918yescomplemented
612C23C2×C22⋊C4×C3114yes—
613C23C2×C22⋊C4×C3114yes—
614C23C2×C22⋊C4×C3111yescharacteristic
615C23C2×C22⋊C4×C3111yescharacteristic
616C23C2×C22⋊C4×C3111yescharacteristic
617C23C2×C22⋊C4×C3111yescharacteristic
618C23C4×D4×C3114yes—
619C23C4×D4×C3114yes—
620C23C31×#12012yes—
621C23C31×#12012yes—
622C23C31×#12114yes—
623C23C31×#12114yes—
624C23C31×#12312yes—
625C23C31×#12312yes—
626C23C23×C4×C3111yescharacteristic
627C23C22×D4×C3111yescharacteristic
628C23C22×D4×C3111yescharacteristic
629C23C22×D4×C3112yes—
630C23C2×#41×C3112yes—
631D4—416no—
632D4—416no—
633D4—42no—
634D4—44no—
635D4—42no—
636D4—44no—
637D4—44no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—432no—
643C2×C4—48no—
644C2×C4—416no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—44no—
652C2×C4—88no—
653C22—28no—
654C22—28no—
655C22—216no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—24no—
661C22—22no—
662C22—22no—
663C22—24no—
664C22—28no—
665C22—216no—
666C22—24no—
667C22—28no—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—44no—
673C22—42no—
674C22—44no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—416no—
679C22—416no—
680C22—416no—
681C22—416no—
682C22—44no—
683C22—44no—
684C22—48no—
685C22—48no—
686C22—44no—
687C22—42no—
688C22—84no—
689C22—84no—
690C22—84no—
691C22C31×#38612yes—
692C22C31×#38612yes—
693C22C31×#38612yes—
694C22C31×#38612yes—
695C22C2×C31×#9914yes—
696C22C2×C31×#9918yescomplemented
697C22C22×C22⋊C4×C3111yescharacteristic
698C22C2×C4×D4×C3112yes—
699C22C2×C31×#12011yescharacteristic
700C22C2×C31×#12112yes—
701C22C2×C31×#12311yescharacteristic
702C4—48no—
703C4—44no—
704C4—42no—
705C4—84no—
706C2—21no—
707C2—22no—
708C2—28no—
709C2—21no—
710C2—22no—
711C2—22no—
712C2—22no—
713C2—22no—
714C2—44no—
715C2—82no—
716C2C31×#189814yesdirect product factor
717C2C2×C31×#38611yescharacteristic
718C2C22×C31×#9912yes—
subgroupG/H
center, socleC23×C31C2×C22⋊C4
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC22×C31×#120C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C26×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C23×C22⋊C4×C31C2semidirect
3. C22×C31×#99C2semidirect
4. C2×C31×#379C2semidirect
5. C31×#1898C2direct (N × H)
6. C2×C31×#342C2semidirect
8. C23×D4×C31C4semidirect
16. C2×C31×#120C4semidirect
22. C22×C22⋊C4×C31C4semidirect
26. C22×C22⋊C4×C31C22semidirect
28. C2×C31×#99C22semidirect
30. C31×#379C22semidirect
31. C31×#342C22semidirect
37. C25×C31C2×C4semidirect
55. C22×D4×C31C2×C4semidirect
56. C22×D4×C31C2×C4semidirect
63. C23×C4×C31C2×C4semidirect
64. C23×C4×C31C2×C4semidirect
89. C2×C22⋊C4×C31C2×C4semidirect
90. C2×C22⋊C4×C31C2×C4semidirect
91. C2×C22⋊C4×C31D4semidirect
134. C24×C31C22×C4semidirect
179. C22×C4×C31C22×C4semidirect
180. C22×C4×C31C22×C4semidirect
194. C22⋊C4×C31C2×D4semidirect
195. C2×#1898C31direct (N × H)
252. C23×C31#99semidirect
295. C23×C22⋊C4C2×C31semidirect
296. C22×#99C2×C31semidirect
297. C2×#379C2×C31semidirect
298. #1898C2×C31direct (N × H)
299. C2×#342C2×C31semidirect
343. C22×C31C2×#99semidirect
354. C23×D4C4×C31semidirect
362. C2×#120C4×C31semidirect
368. C22×C22⋊C4C4×C31semidirect
372. C22×C22⋊C4C22×C31semidirect
374. C2×#99C22×C31semidirect
376. #379C22×C31semidirect
377. #342C22×C31semidirect
388. C2×C31#1898direct (N × H)
396. C25C2×C4×C31semidirect
414. C22×D4C2×C4×C31semidirect
415. C22×D4C2×C4×C31semidirect
422. C23×C4C2×C4×C31semidirect
423. C23×C4C2×C4×C31semidirect
448. C2×C22⋊C4C2×C4×C31semidirect
449. C2×C22⋊C4C2×C4×C31semidirect
450. C2×C22⋊C4D4×C31semidirect
455. C31C2×#1898direct (N × H)
494. C24C22×C4×C31semidirect
539. C22×C4C22×C4×C31semidirect
540. C22×C4C22×C4×C31semidirect
554. C22⋊C4C2×D4×C31semidirect
611. C23C31×#99semidirect
696. C22C2×C31×#99semidirect
716. C2C31×#1898direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1202
C23×C22⋊C4×C312
C22×C31×#992
C2×C31×#3792
C31×#18982
C2×C31×#3422
C2×#189831