Finite Group Databasebeta

← C2×C31×#2003 #21480156

Subgroups — C2×C31×#2003 #21480156

Order 7936.

2126 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×AGL(1,ℤ/8)C211yesmaximal, characteristic
2C2×C31×#536C211yesmaximal, characteristic, complemented
3C22×C31×#124C211yesmaximal, characteristic, complemented
4C22×C31×#104C211yesmaximal, characteristic, complemented
5C2×C31×#418C211yesmaximal, characteristic, complemented
6C22×C31×#101C211yesmaximal, characteristic, complemented
7C31×#2003C218yesmaximal, direct product factor
8C2×C31×#339C211yesmaximal, characteristic, complemented
9C22×#41×C31C2211yescharacteristic
10C23×Q8×C31C2211yescharacteristic
11C23×D4×C31C2211yescharacteristic
12C2×C31×AGL(1,ℤ/8)—22no—
13C2×C31×AGL(1,ℤ/8)—24no—
14C2×C31×AGL(1,ℤ/8)—24no—
15C2×C31×AGL(1,ℤ/8)C2214yes—
16C22×SD16×C31—21no—
17C22×D8×C31—21no—
18C22×M16×C31C2211yescharacteristic
19C22×M16×C31C2211yescharacteristic
20C31×#536—22no—
21C31×#536—22no—
22C31×#536—22no—
23C31×#536C2214yescomplemented
24C2×C31×C4⋊Q8—21no—
25C2×C31×#124—22no—
26C2×C31×#124—24no—
27C2×C31×#124—21no—
28C2×C31×#124—24no—
29C2×C31×#124C2214yescomplemented
30C2×C31×#123—22no—
31C2×C31×C22⋊Q8—22no—
32C2×C31×#117C2211yescharacteristic
33C22×C22⋊C4×C31—22no—
34C22×C42×C31C2211yescharacteristic
35C2×C31×#104—24no—
36C2×C31×#104C2214yescomplemented
37C31×#418—22no—
38C31×#418C2214yescomplemented
39C2×C31×#102—22no—
40C2×C31×#101—24no—
41C2×C31×#101C2214yescomplemented
42C31×#339C2214yescomplemented
43C25×C31—21no—
44C2×#41×C31—21no—
45C2×#41×C31—21no—
46C2×#41×C31—22no—
47C2×#41×C31—22no—
48C2×#41×C31—22no—
49C2×#41×C31—22no—
50C2×#41×C31D412yes—
51C2×#41×C31C2312yes—
52C22×Q8×C31—22no—
53C22×Q8×C31—21no—
54C22×Q8×C31—22no—
55C22×Q8×C31—22no—
56C22×Q8×C31—21no—
57C22×Q8×C31—21no—
58C22×Q8×C31—21no—
59C22×Q8×C31—22no—
60C22×Q8×C31D411yescharacteristic
61C22×Q8×C31D412yes—
62C22×Q8×C31C2312yes—
63C22×D4×C31—21no—
64C22×D4×C31—21no—
65C22×D4×C31—21no—
66C22×D4×C31—21no—
67C22×D4×C31—21no—
68C22×D4×C31—22no—
69C22×D4×C31—21no—
70C22×D4×C31—22no—
71C22×D4×C31—22no—
72C22×D4×C31D411yescharacteristic
73C22×D4×C31D414yes—
74C22×D4×C31C2312yes—
75C23×C4×C31—21no—
76C23×C4×C31—21no—
77C23×C4×C31D412yes—
78C23×C4×C31C2311yescharacteristic
79C31×AGL(1,ℤ/8)—216no—
80C31×AGL(1,ℤ/8)—28no—
81C31×AGL(1,ℤ/8)—28no—
82C2×SD16×C31—28no—
83C2×SD16×C31—24no—
84C2×D8×C31—28no—
85C2×D8×C31—24no—
86C2×M16×C31—22no—
87C2×M16×C31—21no—
88C2×M16×C31—21no—
89C2×M16×C31—22no—
90C2×M16×C31—22no—
91C2×M16×C31D414yes—
92C2×M16×C31C2312yes—
93C2×M16×C31C2312yes—
94C22×C8×C31—21no—
95C22×C8×C31—21no—
96C31×C4⋊Q8—24no—
97C31×C4⋊Q8—24no—
98C31×#124—216no—
99C31×#124—24no—
100C31×#124—28no—
101C31×#124—24no—
102C31×#124—28no—
103C31×#123—28no—
104C31×#123—28no—
105C31×C22⋊Q8—28no—
106C31×C22⋊Q8—28no—
107C31×#117—21no—
108C31×#117—21no—
109C31×#117D412yes—
110C31×#117C2312yes—
111C2×C4⋊C4×C31—24no—
112C2×C4⋊C4×C31D412yes—
113C2×C22⋊C4×C31—216no—
114C2×C22⋊C4×C31—24no—
115C2×C22⋊C4×C31—21no—
116C2×C22⋊C4×C31—28no—
117C2×C42×C31—21no—
118C2×C42×C31—22no—
119C2×C42×C31—21no—
120C2×C42×C31D414yes—
121C2×C42×C31C2312yes—
122C31×#104—28no—
123C31×#102—28no—
124C31×#101—28no—
125C24×C31—24no—
126C24×C31—21no—
127C24×C31—22no—
128C24×C31—48no—
129C24×C31—41no—
130C24×C31—41no—
131C24×C31—42no—
132C24×C31C2×D411yescharacteristic
133#41×C31—24no—
134#41×C31—24no—
135#41×C31—22no—
136#41×C31—22no—
137#41×C31—22no—
138#41×C31—22no—
139#41×C31—42no—
140#41×C31—42no—
141#41×C31—42no—
142#41×C31—42no—
143C2×Q8×C31—22no—
144C2×Q8×C31—24no—
145C2×Q8×C31—22no—
146C2×Q8×C31—21no—
147C2×Q8×C31—24no—
148C2×Q8×C31—22no—
149C2×Q8×C31—22no—
150C2×Q8×C31—22no—
151C2×Q8×C31—22no—
152C2×Q8×C31—22no—
153C2×Q8×C31—22no—
154C2×Q8×C31—22no—
155C2×Q8×C31—22no—
156C2×Q8×C31—42no—
157C2×Q8×C31—42no—
158C2×Q8×C31—42no—
159C2×Q8×C31—42no—
160C2×Q8×C31—42no—
161C2×Q8×C31—42no—
162C2×Q8×C31—42no—
163C2×Q8×C31—42no—
164C2×Q8×C31C2×D412yes—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—22no—
168C2×D4×C31—24no—
169C2×D4×C31—24no—
170C2×D4×C31—24no—
171C2×D4×C31—21no—
172C2×D4×C31—24no—
173C2×D4×C31—24no—
174C2×D4×C31—22no—
175C2×D4×C31—22no—
176C2×D4×C31—22no—
177C2×D4×C31—22no—
178C2×D4×C31—22no—
179C2×D4×C31—22no—
180C2×D4×C31—42no—
181C2×D4×C31—42no—
182C2×D4×C31—41no—
183C2×D4×C31—41no—
184C2×D4×C31—42no—
185C2×D4×C31—42no—
186C2×D4×C31—42no—
187C2×D4×C31—42no—
188C2×D4×C31—42no—
189C2×D4×C31C2×D412yes—
190C2×D4×C31C2×D414yes—
191C22×C4×C31—24no—
192C22×C4×C31—24no—
193C22×C4×C31—22no—
194C22×C4×C31—22no—
195C22×C4×C31—22no—
196C22×C4×C31—21no—
197C22×C4×C31—24no—
198C22×C4×C31—22no—
199C22×C4×C31—22no—
200C22×C4×C31—22no—
201C22×C4×C31—44no—
202C22×C4×C31—42no—
203C22×C4×C31—42no—
204C22×C4×C31C2×D414yes—
205C22×C4×C31C2×D411yescharacteristic
206C22×C4×C31C2×D412yes—
207C22×C4×C31C2×D411yescharacteristic
208C22×C4×C31C2×D411yescharacteristic
209C22×C4×C31C2×D412yes—
210C22×C4×C31C2×D412yes—
211C22×C4×C31C2×D411yescharacteristic
212C22×C4×C31C2×D411yescharacteristic
213C22×C4×C31#4112yes—
214C22×C4×C31C2411yescharacteristic
215SD16×C31—216no—
216D8×C31—216no—
217M16×C31—24no—
218M16×C31—22no—
219M16×C31—22no—
220M16×C31—22no—
221M16×C31—42no—
222M16×C31C2×D414yes—
223C2×C8×C31—24no—
224C2×C8×C31—22no—
225C2×C8×C31—22no—
226C2×C8×C31—42no—
227C4⋊C4×C31—216no—
228C4⋊C4×C31—22no—
229C4⋊C4×C31C2×D414yes—
230C22⋊C4×C31—232no—
231C22⋊C4×C31—216no—
232C22⋊C4×C31—22no—
233C22⋊C4×C31—22no—
234C42×C31—24no—
235C42×C31—22no—
236C42×C31—22no—
237C42×C31—22no—
238C42×C31C2×D414yes—
239C2×#2003C3111yesmaximal, characteristic, direct product factor, Sylow
240C23×C31—24no—
241C23×C31—22no—
242C23×C31—24no—
243C23×C31—48no—
244C23×C31—416no—
245C23×C31—42no—
246C23×C31—42no—
247C23×C31—42no—
248C23×C31—44no—
249C23×C31—44no—
250C23×C31—44no—
251C23×C31—84no—
252C23×C31—88no—
253C23×C31—84no—
254C23×C31#12011yescharacteristic
255C23×C31#12012yes—
256C23×C31#12011yescharacteristic
257C23×C31#12112yes—
258C23×C31C22×D411yescharacteristic
259Q8×C31—22no—
260Q8×C31—22no—
261Q8×C31—42no—
262Q8×C31—42no—
263Q8×C31—42no—
264Q8×C31—42no—
265Q8×C31—44no—
266Q8×C31—44no—
267Q8×C31—42no—
268D4×C31—22no—
269D4×C31—24no—
270D4×C31—24no—
271D4×C31—22no—
272D4×C31—42no—
273D4×C31—42no—
274D4×C31—44no—
275D4×C31—42no—
276D4×C31—42no—
277D4×C31—44no—
278D4×C31—44no—
279D4×C31—42no—
280C2×C4×C31—24no—
281C2×C4×C31—24no—
282C2×C4×C31—24no—
283C2×C4×C31—24no—
284C2×C4×C31—22no—
285C2×C4×C31—24no—
286C2×C4×C31—44no—
287C2×C4×C31—48no—
288C2×C4×C31—44no—
289C2×C4×C31—44no—
290C2×C4×C31—42no—
291C2×C4×C31—44no—
292C2×C4×C31—42no—
293C2×C4×C31—42no—
294C2×C4×C31—44no—
295C2×C4×C31#12012yes—
296C2×C4×C31#12012yes—
297C2×C4×C31#12012yes—
298C2×C4×C31#12011yescharacteristic
299C2×C4×C31#12011yescharacteristic
300C2×C4×C31#12112yes—
301C2×C4×C31#12112yes—
302C2×C4×C31#12112yes—
303C2×C4×C31#12112yes—
304C2×C4×C31#12112yes—
305C2×C4×C31#12712yes—
306C2×C4×C31#12712yes—
307C2×C4×C31C22×D411yescharacteristic
308C2×C4×C31C22×D411yescharacteristic
309C2×C4×C31C22×D411yescharacteristic
310C2×C4×C31C22×D411yescharacteristic
311C2×C4×C31C22×D411yescharacteristic
312C2×C4×C31C2×#4111yescharacteristic
313C8×C31—24no—
314C8×C31—42no—
315C22×AGL(1,ℤ/8)C2×C3111yescharacteristic
316C2×#536C2×C3111yescharacteristic, complemented
317C22×#124C2×C3111yescharacteristic, complemented
318C22×#104C2×C3111yescharacteristic, complemented
319C2×#418C2×C3111yescharacteristic, complemented
320C22×#101C2×C3111yescharacteristic, complemented
321#2003C2×C3118yesdirect product factor
322C2×#339C2×C3111yescharacteristic, complemented
323C22×C31—22no—
324C22×C31—22no—
325C22×C31—24no—
326C22×C31—24no—
327C22×C31—48no—
328C22×C31—42no—
329C22×C31—44no—
330C22×C31—44no—
331C22×C31—84no—
332C22×C31—88no—
333C22×C31—84no—
334C22×C31—84no—
335C22×C31—88no—
336C22×C31#39212yes—
337C22×C31#39212yes—
338C22×C31#45414yes—
339C22×C31C2×#12011yescharacteristic
340C22×C31C2×#12011yescharacteristic
341C22×C31C2×#12111yescharacteristic
342C4×C31—44no—
343C4×C31—44no—
344C4×C31—42no—
345C4×C31—44no—
346C4×C31#39212yes—
347C4×C31#39212yes—
348C4×C31C2×#12011yescharacteristic
349C4×C31C2×#12111yescharacteristic
350C4×C31C2×#12111yescharacteristic
351C4×C31C2×#12711yescharacteristic
352C22×#41C22×C3111yescharacteristic
353C23×Q8C22×C3111yescharacteristic
354C23×D4C22×C3111yescharacteristic
355C2×AGL(1,ℤ/8)—22no—
356C2×AGL(1,ℤ/8)—24no—
357C2×AGL(1,ℤ/8)—24no—
358C2×AGL(1,ℤ/8)C22×C3114yes—
359C22×SD16—21no—
360C22×D8—21no—
361C22×M16C22×C3111yescharacteristic
362C22×M16C22×C3111yescharacteristic
363#536—22no—
364#536—22no—
365#536—22no—
366#536C22×C3114yescomplemented
367C2×C4⋊Q8—21no—
368C2×#124—22no—
369C2×#124—24no—
370C2×#124—21no—
371C2×#124—24no—
372C2×#124C22×C3114yescomplemented
373C2×#123—22no—
374C2×C22⋊Q8—22no—
375C2×#117C22×C3111yescharacteristic
376C22×C22⋊C4—22no—
377C22×C42C22×C3111yescharacteristic
378C2×#104—24no—
379C2×#104C22×C3114yescomplemented
380#418—22no—
381#418C22×C3114yescomplemented
382C2×#102—22no—
383C2×#101—24no—
384C2×#101C22×C3114yescomplemented
385#339C22×C3114yescomplemented
386C2×C31—21no—
387C2×C31—21no—
388C2×C31—22no—
389C2×C31—82no—
390C2×C31—84no—
391C2×C31#200314yesdirect product factor
392C2×C31C2×#39211yescharacteristic
393C2×C31C2×#45412yes—
394C25—21no—
395C2×#41—21no—
396C2×#41—21no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41D4×C3112yes—
402C2×#41C23×C3112yes—
403C22×Q8—21no—
404C22×Q8—22no—
405C22×Q8—22no—
406C22×Q8—21no—
407C22×Q8—21no—
408C22×Q8—21no—
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8D4×C3111yescharacteristic
412C22×Q8D4×C3112yes—
413C22×Q8C23×C3112yes—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—22no—
418C22×D4—21no—
419C22×D4—21no—
420C22×D4—21no—
421C22×D4—22no—
422C22×D4—22no—
423C22×D4D4×C3111yescharacteristic
424C22×D4D4×C3114yes—
425C22×D4C23×C3112yes—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4D4×C3112yes—
429C23×C4C23×C3111yescharacteristic
430AGL(1,ℤ/8)—216no—
431AGL(1,ℤ/8)—28no—
432AGL(1,ℤ/8)—28no—
433C2×SD16—28no—
434C2×SD16—24no—
435C2×D8—28no—
436C2×D8—24no—
437C2×M16—22no—
438C2×M16—21no—
439C2×M16—21no—
440C2×M16—22no—
441C2×M16—22no—
442C2×M16D4×C3114yes—
443C2×M16C23×C3112yes—
444C2×M16C23×C3112yes—
445C22×C8—21no—
446C22×C8—21no—
447C4⋊Q8—24no—
448C4⋊Q8—24no—
449#124—216no—
450#124—24no—
451#124—28no—
452#124—24no—
453#124—28no—
454#123—28no—
455#123—28no—
456C22⋊Q8—28no—
457C22⋊Q8—28no—
458#117—21no—
459#117—21no—
460#117D4×C3112yes—
461#117C23×C3112yes—
462C2×C4⋊C4—24no—
463C2×C4⋊C4D4×C3112yes—
464C2×C22⋊C4—216no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—28no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—22no—
471C2×C42D4×C3114yes—
472C2×C42C23×C3112yes—
473#104—28no—
474#102—28no—
475#101—28no—
476C31C2×#200311yescharacteristic, direct product factor, Sylow
477C24—21no—
478C24—24no—
479C24—22no—
480C24—48no—
481C24—41no—
482C24—41no—
483C24—42no—
484C24C2×D4×C3111yescharacteristic
485#41—24no—
486#41—24no—
487#41—22no—
488#41—22no—
489#41—22no—
490#41—22no—
491#41—42no—
492#41—42no—
493#41—42no—
494#41—42no—
495C2×Q8—22no—
496C2×Q8—24no—
497C2×Q8—22no—
498C2×Q8—21no—
499C2×Q8—24no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—42no—
511C2×Q8—42no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8—42no—
516C2×Q8C2×D4×C3112yes—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—24no—
523C2×D4—21no—
524C2×D4—24no—
525C2×D4—24no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4C2×D4×C3112yes—
542C2×D4C2×D4×C3114yes—
543C22×C4—24no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—44no—
554C22×C4—42no—
555C22×C4—42no—
556C22×C4C2×D4×C3114yes—
557C22×C4C2×D4×C3111yescharacteristic
558C22×C4C2×D4×C3111yescharacteristic
559C22×C4C2×D4×C3112yes—
560C22×C4C2×D4×C3111yescharacteristic
561C22×C4C2×D4×C3112yes—
562C22×C4C2×D4×C3112yes—
563C22×C4C2×D4×C3111yescharacteristic
564C22×C4C2×D4×C3111yescharacteristic
565C22×C4#41×C3112yes—
566C22×C4C24×C3111yescharacteristic
567SD16—216no—
568D8—216no—
569M16—24no—
570M16—22no—
571M16—22no—
572M16—22no—
573M16—42no—
574M16C2×D4×C3114yes—
575C2×C8—24no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—42no—
579C4⋊C4—216no—
580C4⋊C4—22no—
581C4⋊C4C2×D4×C3114yes—
582C22⋊C4—232no—
583C22⋊C4—216no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C42—24no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42C2×D4×C3114yes—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—48no—
595C23—416no—
596C23—44no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—84no—
603C23—88no—
604C23—84no—
605C23C31×#12011yescharacteristic
606C23C31×#12012yes—
607C23C31×#12011yescharacteristic
608C23C31×#12112yes—
609C23C22×D4×C3111yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—42no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616Q8—44no—
617Q8—44no—
618Q8—42no—
619D4—22no—
620D4—24no—
621D4—24no—
622D4—22no—
623D4—42no—
624D4—42no—
625D4—44no—
626D4—42no—
627D4—42no—
628D4—44no—
629D4—44no—
630D4—42no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—44no—
638C2×C4—48no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—44no—
646C2×C4C31×#12012yes—
647C2×C4C31×#12012yes—
648C2×C4C31×#12012yes—
649C2×C4C31×#12011yescharacteristic
650C2×C4C31×#12011yescharacteristic
651C2×C4C31×#12112yes—
652C2×C4C31×#12112yes—
653C2×C4C31×#12112yes—
654C2×C4C31×#12112yes—
655C2×C4C31×#12112yes—
656C2×C4C31×#12712yes—
657C2×C4C31×#12712yes—
658C2×C4C22×D4×C3111yescharacteristic
659C2×C4C22×D4×C3111yescharacteristic
660C2×C4C22×D4×C3111yescharacteristic
661C2×C4C22×D4×C3111yescharacteristic
662C2×C4C22×D4×C3111yescharacteristic
663C2×C4C2×#41×C3111yescharacteristic
664C8—24no—
665C8—42no—
666C22—22no—
667C22—22no—
668C22—24no—
669C22—24no—
670C22—48no—
671C22—42no—
672C22—44no—
673C22—44no—
674C22—84no—
675C22—88no—
676C22—84no—
677C22—88no—
678C22—84no—
679C22C31×#39212yes—
680C22C31×#39212yes—
681C22C31×#45414yes—
682C22C2×C31×#12011yescharacteristic
683C22C2×C31×#12011yescharacteristic
684C22C2×C31×#12111yescharacteristic
685C4—44no—
686C4—44no—
687C4—42no—
688C4—44no—
689C4C31×#39212yes—
690C4C31×#39212yes—
691C4C2×C31×#12011yescharacteristic
692C4C2×C31×#12111yescharacteristic
693C4C2×C31×#12111yescharacteristic
694C4C2×C31×#12711yescharacteristic
695C2—21no—
696C2—21no—
697C2—22no—
698C2—84no—
699C2—82no—
700C2C31×#200314yesdirect product factor
701C2C2×C31×#39211yescharacteristic
702C2C2×C31×#45412yes—
subgroupG/H
center, socleC23×C31#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×C31×AGL(1,ℤ/8)C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#536C2semidirect
3. C22×C31×#124C2semidirect
4. C22×C31×#104C2semidirect
5. C2×C31×#418C2semidirect
6. C22×C31×#101C2semidirect
7. C31×#2003C2direct (N × H)
8. C2×C31×#339C2semidirect
23. C31×#536C22semidirect
29. C2×C31×#124C22semidirect
36. C2×C31×#104C22semidirect
38. C31×#418C22semidirect
41. C2×C31×#101C22semidirect
42. C31×#339C22semidirect
239. C2×#2003C31direct (N × H)
316. C2×#536C2×C31semidirect
317. C22×#124C2×C31semidirect
318. C22×#104C2×C31semidirect
319. C2×#418C2×C31semidirect
320. C22×#101C2×C31semidirect
321. #2003C2×C31direct (N × H)
322. C2×#339C2×C31semidirect
366. #536C22×C31semidirect
372. C2×#124C22×C31semidirect
379. C2×#104C22×C31semidirect
381. #418C22×C31semidirect
384. C2×#101C22×C31semidirect
385. #339C22×C31semidirect
391. C2×C31#2003direct (N × H)
476. C31C2×#2003direct (N × H)
700. C2C31×#2003direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×AGL(1,ℤ/8)2
C2×C31×#5362
C22×C31×#1242
C22×C31×#1042
C2×C31×#4182
C22×C31×#1012
C31×#20032
C2×C31×#3392
C2×#200331