Finite Group Databasebeta

← C2×C31×#2004 #21480155

Subgroups — C2×C31×#2004 #21480155

Order 7936.

2190 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#137C211yesmaximal, characteristic, complemented
2C2×C31×#535C211yesmaximal, characteristic
3C22×C31×#124C211yesmaximal, characteristic, complemented
4C22×C31×#104C211yesmaximal, characteristic, complemented
5C2×C31×#419C211yesmaximal, characteristic, complemented
6C22×C31×#100C211yesmaximal, characteristic, complemented
7C31×#2004C218yesmaximal, direct product factor
8C2×C31×#339C211yesmaximal, characteristic, complemented
9C22×#41×C31C2211yescharacteristic
10C23×Q8×C31C2211yescharacteristic
11C23×D4×C31C2211yescharacteristic
12C2×C31×#137—22no—
13C2×C31×#137—24no—
14C2×C31×#137—24no—
15C2×C31×#137C2214yescomplemented
16C22×Q16×C31—21no—
17C22×SD16×C31—21no—
18C22×M16×C31C2211yescharacteristic
19C22×M16×C31C2211yescharacteristic
20C31×#535—22no—
21C31×#535—22no—
22C31×#535—22no—
23C31×#535C2214yes—
24C2×C31×#127—21no—
25C2×C31×#124—21no—
26C2×C31×#124—24no—
27C2×C31×#124—22no—
28C2×C31×#124—24no—
29C2×C31×#124C2214yescomplemented
30C2×C31×#121—22no—
31C2×C31×#120—22no—
32C2×C31×#117C2211yescharacteristic
33C22×C22⋊C4×C31—22no—
34C22×C42×C31C2211yescharacteristic
35C2×C31×#104—24no—
36C2×C31×#104C2214yescomplemented
37C31×#419—22no—
38C31×#419C2214yescomplemented
39C2×C31×#103—22no—
40C2×C31×#100—24no—
41C2×C31×#100C2214yescomplemented
42C31×#339C2214yescomplemented
43C25×C31D412yes—
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—21no—
55C22×Q8×C31—21no—
56C22×Q8×C31—21no—
57C22×Q8×C31—21no—
58C22×Q8×C31—22no—
59C22×Q8×C31—22no—
60C22×Q8×C31D411yescharacteristic
61C22×Q8×C31D414yescomplemented
62C22×Q8×C31C2312yes—
63C22×D4×C31—21no—
64C22×D4×C31—24no—
65C22×D4×C31—22no—
66C22×D4×C31—21no—
67C22×D4×C31—22no—
68C22×D4×C31—22no—
69C22×D4×C31—21no—
70C22×D4×C31—21no—
71C22×D4×C31—21no—
72C22×D4×C31—22no—
73C22×D4×C31D412yes—
74C22×D4×C31D411yescharacteristic
75C22×D4×C31C2312yes—
76C23×C4×C31—21no—
77C23×C4×C31—21no—
78C23×C4×C31—21no—
79C23×C4×C31C2311yescharacteristic
80C31×#137—216no—
81C31×#137—28no—
82C31×#137—28no—
83C2×Q16×C31—28no—
84C2×Q16×C31—24no—
85C2×SD16×C31—28no—
86C2×SD16×C31—24no—
87C2×M16×C31—22no—
88C2×M16×C31—21no—
89C2×M16×C31—21no—
90C2×M16×C31—22no—
91C2×M16×C31—22no—
92C2×M16×C31D414yescomplemented
93C2×M16×C31C2312yes—
94C2×M16×C31C2312yes—
95C22×C8×C31—21no—
96C22×C8×C31—21no—
97C31×#127—24no—
98C31×#127—24no—
99C31×#124—216no—
100C31×#124—24no—
101C31×#124—24no—
102C31×#124—28no—
103C31×#124—28no—
104C31×#121—28no—
105C31×#121—28no—
106C31×#120—28no—
107C31×#120—28no—
108C31×#117—21no—
109C31×#117—21no—
110C31×#117D412yes—
111C31×#117C2312yes—
112C2×C4⋊C4×C31D412yes—
113C2×C22⋊C4×C31—216no—
114C2×C22⋊C4×C31—24no—
115C2×C22⋊C4×C31—28no—
116C2×C22⋊C4×C31—21no—
117C2×C42×C31—21no—
118C2×C42×C31—22no—
119C2×C42×C31—21no—
120C2×C42×C31D414yescomplemented
121C2×C42×C31C2312yes—
122C31×#104—28no—
123C31×#103—28no—
124C31×#100—28no—
125C24×C31—24no—
126C24×C31—22no—
127C24×C31—21no—
128C24×C31—22no—
129C24×C31—24no—
130C24×C31—48no—
131C24×C31C2×D411yescharacteristic
132C24×C31C2×D414yes—
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—24no—
144C2×Q8×C31—21no—
145C2×Q8×C31—22no—
146C2×Q8×C31—24no—
147C2×Q8×C31—22no—
148C2×Q8×C31—24no—
149C2×Q8×C31—24no—
150C2×Q8×C31—24no—
151C2×Q8×C31—22no—
152C2×Q8×C31—22no—
153C2×Q8×C31—22no—
154C2×Q8×C31—22no—
155C2×Q8×C31—22no—
156C2×Q8×C31—41no—
157C2×Q8×C31—41no—
158C2×Q8×C31—42no—
159C2×Q8×C31—42no—
160C2×Q8×C31—42no—
161C2×Q8×C31—42no—
162C2×Q8×C31—42no—
163C2×Q8×C31C2×D412yes—
164C2×Q8×C31C2×D414yescomplemented
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—216no—
168C2×D4×C31—22no—
169C2×D4×C31—22no—
170C2×D4×C31—24no—
171C2×D4×C31—22no—
172C2×D4×C31—21no—
173C2×D4×C31—22no—
174C2×D4×C31—24no—
175C2×D4×C31—22no—
176C2×D4×C31—22no—
177C2×D4×C31—22no—
178C2×D4×C31—22no—
179C2×D4×C31—22no—
180C2×D4×C31—22no—
181C2×D4×C31—42no—
182C2×D4×C31—42no—
183C2×D4×C31—42no—
184C2×D4×C31—42no—
185C2×D4×C31—42no—
186C2×D4×C31—42no—
187C2×D4×C31—42no—
188C2×D4×C31—42no—
189C2×D4×C31—42no—
190C2×D4×C31—42no—
191C2×D4×C31—88no—
192C2×D4×C31C2×D412yes—
193C22×C4×C31—24no—
194C22×C4×C31—24no—
195C22×C4×C31—22no—
196C22×C4×C31—21no—
197C22×C4×C31—22no—
198C22×C4×C31—22no—
199C22×C4×C31—22no—
200C22×C4×C31—22no—
201C22×C4×C31—44no—
202C22×C4×C31—41no—
203C22×C4×C31—41no—
204C22×C4×C31—42no—
205C22×C4×C31—42no—
206C22×C4×C31—42no—
207C22×C4×C31C2×D411yescharacteristic
208C22×C4×C31C2×D412yes—
209C22×C4×C31C2×D411yescharacteristic
210C22×C4×C31C2×D411yescharacteristic
211C22×C4×C31C2×D412yes—
212C22×C4×C31C2×D412yes—
213C22×C4×C31C2×D411yescharacteristic
214C22×C4×C31C2×D411yescharacteristic
215C22×C4×C31#4112yes—
216C22×C4×C31C2411yescharacteristic
217Q16×C31—216no—
218SD16×C31—216no—
219M16×C31—24no—
220M16×C31—22no—
221M16×C31—22no—
222M16×C31—22no—
223M16×C31—42no—
224M16×C31C2×D414yescomplemented
225C2×C8×C31—24no—
226C2×C8×C31—22no—
227C2×C8×C31—22no—
228C2×C8×C31—42no—
229C4⋊C4×C31—22no—
230C4⋊C4×C31C2×D414yes—
231C22⋊C4×C31—232no—
232C22⋊C4×C31—216no—
233C22⋊C4×C31—22no—
234C22⋊C4×C31—22no—
235C42×C31—24no—
236C42×C31—22no—
237C42×C31—22no—
238C42×C31—22no—
239C42×C31C2×D414yescomplemented
240C2×#2004C3111yesmaximal, characteristic, direct product factor, Sylow
241C23×C31—24no—
242C23×C31—24no—
243C23×C31—24no—
244C23×C31—22no—
245C23×C31—24no—
246C23×C31—48no—
247C23×C31—416no—
248C23×C31—42no—
249C23×C31—44no—
250C23×C31—44no—
251C23×C31—44no—
252C23×C31—48no—
253C23×C31—84no—
254C23×C31—88no—
255C23×C31#12011yescharacteristic
256C23×C31#12012yes—
257C23×C31#12011yescharacteristic
258C23×C31#12112yes—
259C23×C31C22×D411yescharacteristic
260Q8×C31—24no—
261Q8×C31—22no—
262Q8×C31—24no—
263Q8×C31—22no—
264Q8×C31—42no—
265Q8×C31—42no—
266Q8×C31—44no—
267Q8×C31—44no—
268Q8×C31—42no—
269D4×C31—22no—
270D4×C31—22no—
271D4×C31—42no—
272D4×C31—42no—
273D4×C31—44no—
274D4×C31—42no—
275D4×C31—42no—
276D4×C31—42no—
277D4×C31—42no—
278D4×C31—44no—
279D4×C31—44no—
280D4×C31—42no—
281D4×C31—816no—
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—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—44no—
292C2×C4×C31—44no—
293C2×C4×C31—44no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—44no—
297C2×C4×C31#12012yes—
298C2×C4×C31#12012yes—
299C2×C4×C31#12011yescharacteristic
300C2×C4×C31#12012yes—
301C2×C4×C31#12011yescharacteristic
302C2×C4×C31#12112yes—
303C2×C4×C31#12112yes—
304C2×C4×C31#12112yes—
305C2×C4×C31#12112yes—
306C2×C4×C31#12112yes—
307C2×C4×C31#12712yes—
308C2×C4×C31#12712yes—
309C2×C4×C31C22×D411yescharacteristic
310C2×C4×C31C22×D411yescharacteristic
311C2×C4×C31C22×D411yescharacteristic
312C2×C4×C31C22×D411yescharacteristic
313C2×C4×C31C22×D411yescharacteristic
314C2×C4×C31C2×#4111yescharacteristic
315C8×C31—24no—
316C8×C31—42no—
317C22×#137C2×C3111yescharacteristic, complemented
318C2×#535C2×C3111yescharacteristic
319C22×#124C2×C3111yescharacteristic, complemented
320C22×#104C2×C3111yescharacteristic, complemented
321C2×#419C2×C3111yescharacteristic, complemented
322C22×#100C2×C3111yescharacteristic, complemented
323#2004C2×C3118yesdirect product factor
324C2×#339C2×C3111yescharacteristic, complemented
325C22×C31—22no—
326C22×C31—22no—
327C22×C31—24no—
328C22×C31—24no—
329C22×C31—48no—
330C22×C31—42no—
331C22×C31—44no—
332C22×C31—44no—
333C22×C31—48no—
334C22×C31—84no—
335C22×C31—88no—
336C22×C31—84no—
337C22×C31—88no—
338C22×C31#39212yes—
339C22×C31#39212yes—
340C22×C31#45514yes—
341C22×C31C2×#12011yescharacteristic
342C22×C31C2×#12011yescharacteristic
343C22×C31C2×#12111yescharacteristic
344C4×C31—44no—
345C4×C31—42no—
346C4×C31—44no—
347C4×C31—44no—
348C4×C31#39212yes—
349C4×C31#39212yes—
350C4×C31C2×#12011yescharacteristic
351C4×C31C2×#12111yescharacteristic
352C4×C31C2×#12111yescharacteristic
353C4×C31C2×#12711yescharacteristic
354C22×#41C22×C3111yescharacteristic
355C23×Q8C22×C3111yescharacteristic
356C23×D4C22×C3111yescharacteristic
357C2×#137—22no—
358C2×#137—24no—
359C2×#137—24no—
360C2×#137C22×C3114yescomplemented
361C22×Q16—21no—
362C22×SD16—21no—
363C22×M16C22×C3111yescharacteristic
364C22×M16C22×C3111yescharacteristic
365#535—22no—
366#535—22no—
367#535—22no—
368#535C22×C3114yes—
369C2×#127—21no—
370C2×#124—21no—
371C2×#124—24no—
372C2×#124—22no—
373C2×#124—24no—
374C2×#124C22×C3114yescomplemented
375C2×#121—22no—
376C2×#120—22no—
377C2×#117C22×C3111yescharacteristic
378C22×C22⋊C4—22no—
379C22×C42C22×C3111yescharacteristic
380C2×#104—24no—
381C2×#104C22×C3114yescomplemented
382#419—22no—
383#419C22×C3114yescomplemented
384C2×#103—22no—
385C2×#100—24no—
386C2×#100C22×C3114yescomplemented
387#339C22×C3114yescomplemented
388C2×C31—21no—
389C2×C31—21no—
390C2×C31—22no—
391C2×C31—84no—
392C2×C31—82no—
393C2×C31#200414yesdirect product factor
394C2×C31C2×#39211yescharacteristic
395C2×C31C2×#45512yes—
396C25D4×C3112yes—
397C2×#41—21no—
398C2×#41—21no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41D4×C3112yes—
404C2×#41C23×C3112yes—
405C22×Q8—22no—
406C22×Q8—21no—
407C22×Q8—21no—
408C22×Q8—21no—
409C22×Q8—22no—
410C22×Q8—21no—
411C22×Q8—21no—
412C22×Q8—22no—
413C22×Q8D4×C3111yescharacteristic
414C22×Q8D4×C3114yescomplemented
415C22×Q8C23×C3112yes—
416C22×D4—21no—
417C22×D4—24no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—22no—
425C22×D4—22no—
426C22×D4D4×C3112yes—
427C22×D4D4×C3111yescharacteristic
428C22×D4C23×C3112yes—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—21no—
432C23×C4C23×C3111yescharacteristic
433#137—216no—
434#137—28no—
435#137—28no—
436C2×Q16—28no—
437C2×Q16—24no—
438C2×SD16—28no—
439C2×SD16—24no—
440C2×M16—22no—
441C2×M16—21no—
442C2×M16—21no—
443C2×M16—22no—
444C2×M16—22no—
445C2×M16D4×C3114yescomplemented
446C2×M16C23×C3112yes—
447C2×M16C23×C3112yes—
448C22×C8—21no—
449C22×C8—21no—
450#127—24no—
451#127—24no—
452#124—216no—
453#124—24no—
454#124—24no—
455#124—28no—
456#124—28no—
457#121—28no—
458#121—28no—
459#120—28no—
460#120—28no—
461#117—21no—
462#117—21no—
463#117D4×C3112yes—
464#117C23×C3112yes—
465C2×C4⋊C4D4×C3112yes—
466C2×C22⋊C4—216no—
467C2×C22⋊C4—24no—
468C2×C22⋊C4—28no—
469C2×C22⋊C4—21no—
470C2×C42—21no—
471C2×C42—21no—
472C2×C42—22no—
473C2×C42D4×C3114yescomplemented
474C2×C42C23×C3112yes—
475#104—28no—
476#103—28no—
477#100—28no—
478C31C2×#200411yescharacteristic, direct product factor, Sylow
479C24—24no—
480C24—22no—
481C24—21no—
482C24—22no—
483C24—24no—
484C24—48no—
485C24C2×D4×C3111yescharacteristic
486C24C2×D4×C3114yes—
487#41—24no—
488#41—24no—
489#41—22no—
490#41—22no—
491#41—22no—
492#41—22no—
493#41—42no—
494#41—42no—
495#41—42no—
496#41—42no—
497C2×Q8—24no—
498C2×Q8—21no—
499C2×Q8—22no—
500C2×Q8—24no—
501C2×Q8—22no—
502C2×Q8—24no—
503C2×Q8—24no—
504C2×Q8—24no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—41no—
511C2×Q8—41no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8—42no—
516C2×Q8—42no—
517C2×Q8C2×D4×C3112yes—
518C2×Q8C2×D4×C3114yescomplemented
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—216no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—24no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—24no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—88no—
546C2×D4C2×D4×C3112yes—
547C22×C4—24no—
548C22×C4—22no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—44no—
556C22×C4—41no—
557C22×C4—41no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4C2×D4×C3111yescharacteristic
562C22×C4C2×D4×C3111yescharacteristic
563C22×C4C2×D4×C3112yes—
564C22×C4C2×D4×C3111yescharacteristic
565C22×C4C2×D4×C3112yes—
566C22×C4C2×D4×C3112yes—
567C22×C4C2×D4×C3111yescharacteristic
568C22×C4C2×D4×C3111yescharacteristic
569C22×C4#41×C3112yes—
570C22×C4C24×C3111yescharacteristic
571Q16—216no—
572SD16—216no—
573M16—24no—
574M16—22no—
575M16—22no—
576M16—22no—
577M16—42no—
578M16C2×D4×C3114yescomplemented
579C2×C8—24no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—42no—
583C4⋊C4—22no—
584C4⋊C4C2×D4×C3114yes—
585C22⋊C4—232no—
586C22⋊C4—216no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C42—24no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42C2×D4×C3114yescomplemented
594C23—24no—
595C23—24no—
596C23—24no—
597C23—22no—
598C23—24no—
599C23—48no—
600C23—416no—
601C23—44no—
602C23—48no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—84no—
607C23—88no—
608C23C31×#12011yescharacteristic
609C23C31×#12012yes—
610C23C31×#12011yescharacteristic
611C23C31×#12112yes—
612C23C22×D4×C3111yescharacteristic
613Q8—24no—
614Q8—22no—
615Q8—24no—
616Q8—22no—
617Q8—42no—
618Q8—42no—
619Q8—44no—
620Q8—44no—
621Q8—42no—
622D4—22no—
623D4—22no—
624D4—42no—
625D4—42no—
626D4—44no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—44no—
632D4—44no—
633D4—42no—
634D4—816no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—44no—
640C2×C4—48no—
641C2×C4—44no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4C31×#12012yes—
651C2×C4C31×#12012yes—
652C2×C4C31×#12011yescharacteristic
653C2×C4C31×#12012yes—
654C2×C4C31×#12011yescharacteristic
655C2×C4C31×#12112yes—
656C2×C4C31×#12112yes—
657C2×C4C31×#12112yes—
658C2×C4C31×#12112yes—
659C2×C4C31×#12112yes—
660C2×C4C31×#12712yes—
661C2×C4C31×#12712yes—
662C2×C4C22×D4×C3111yescharacteristic
663C2×C4C22×D4×C3111yescharacteristic
664C2×C4C22×D4×C3111yescharacteristic
665C2×C4C22×D4×C3111yescharacteristic
666C2×C4C22×D4×C3111yescharacteristic
667C2×C4C2×#41×C3111yescharacteristic
668C8—24no—
669C8—42no—
670C22—22no—
671C22—22no—
672C22—24no—
673C22—24no—
674C22—48no—
675C22—42no—
676C22—44no—
677C22—44no—
678C22—48no—
679C22—84no—
680C22—88no—
681C22—88no—
682C22—84no—
683C22C31×#39212yes—
684C22C31×#39212yes—
685C22C31×#45514yes—
686C22C2×C31×#12011yescharacteristic
687C22C2×C31×#12011yescharacteristic
688C22C2×C31×#12111yescharacteristic
689C4—44no—
690C4—42no—
691C4—44no—
692C4—44no—
693C4C31×#39212yes—
694C4C31×#39212yes—
695C4C2×C31×#12011yescharacteristic
696C4C2×C31×#12111yescharacteristic
697C4C2×C31×#12111yescharacteristic
698C4C2×C31×#12711yescharacteristic
699C2—21no—
700C2—21no—
701C2—22no—
702C2—84no—
703C2—82no—
704C2C31×#200414yesdirect product factor
705C2C2×C31×#39211yescharacteristic
706C2C2×C31×#45512yes—
subgroupG/H
center, socleC23×C31#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#535C2
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
1. C22×C31×#137C2semidirect
3. C22×C31×#124C2semidirect
4. C22×C31×#104C2semidirect
5. C2×C31×#419C2semidirect
6. C22×C31×#100C2semidirect
7. C31×#2004C2direct (N × H)
8. C2×C31×#339C2semidirect
15. C2×C31×#137C22semidirect
29. C2×C31×#124C22semidirect
36. C2×C31×#104C22semidirect
38. C31×#419C22semidirect
41. C2×C31×#100C22semidirect
42. C31×#339C22semidirect
61. C22×Q8×C31D4semidirect
92. C2×M16×C31D4semidirect
120. C2×C42×C31D4semidirect
164. C2×Q8×C31C2×D4semidirect
224. M16×C31C2×D4semidirect
239. C42×C31C2×D4semidirect
240. C2×#2004C31direct (N × H)
317. C22×#137C2×C31semidirect
319. C22×#124C2×C31semidirect
320. C22×#104C2×C31semidirect
321. C2×#419C2×C31semidirect
322. C22×#100C2×C31semidirect
323. #2004C2×C31direct (N × H)
324. C2×#339C2×C31semidirect
360. C2×#137C22×C31semidirect
374. C2×#124C22×C31semidirect
381. C2×#104C22×C31semidirect
383. #419C22×C31semidirect
386. C2×#100C22×C31semidirect
387. #339C22×C31semidirect
393. C2×C31#2004direct (N × H)
414. C22×Q8D4×C31semidirect
445. C2×M16D4×C31semidirect
473. C2×C42D4×C31semidirect
478. C31C2×#2004direct (N × H)
518. C2×Q8C2×D4×C31semidirect
578. M16C2×D4×C31semidirect
593. C42C2×D4×C31semidirect
704. C2C31×#2004direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1372
C2×C31×#5352
C22×C31×#1242
C22×C31×#1042
C2×C31×#4192
C22×C31×#1002
C31×#20042
C2×C31×#3392
C2×#200431