Finite Group Databasebeta

← C31×#23856 #21480615

Subgroups — C31×#23856 #21480615

Order 7936.

1734 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×Q16×C31C211yesmaximal, characteristic, complemented
2C2×D4×Q8×C31C211yesmaximal, characteristic
3C2×C31×#451C212yesmaximal, complemented
4C2×C31×#451C211yesmaximal, characteristic, complemented
5C31×#2409C211yesmaximal, characteristic
6C31×#2016C212yesmaximal, complemented
7C31×#2001C212yesmaximal, complemented
8C31×#1892C211yesmaximal, characteristic, complemented
9C31×#1878C212yesmaximal, complemented
10C31×#1869C211yesmaximal, characteristic
11C31×#1787C211yesmaximal, characteristic, complemented
12C23×Q8×C31C2211yescharacteristic
13C23×Q8×C31C2211yescharacteristic
14C23×Q8×C31C2211yescharacteristic
15C22×Q16×C31—24no—
16C22×Q16×C31—28no—
17C22×Q16×C31C2212yes—
18C22×Q16×C31C2212yes—
19C22×Q16×C31C2212yes—
20C23×C8×C31C2211yescharacteristic
21D4×Q8×C31—24no—
22D4×Q8×C31—24no—
23C2×C31×C4⋊Q8—21no—
24C2×C31×C4⋊Q8C2211yescharacteristic
25C2×C31×C22⋊Q8—21no—
26C2×C31×C22⋊Q8—21no—
27C2×C31×C22⋊Q8C2211yescharacteristic
28C2×C31×C22⋊Q8C2212yes—
29C2×C31×C22⋊Q8C2211yescharacteristic
30C2×C4×Q8×C31C2211yescharacteristic
31C2×C4×D4×C31—21no—
32C2×C4×D4×C31C2211yescharacteristic
33C31×#451—28no—
34C31×#451—24no—
35C2×C31×#103C2212yes—
36C2×C31×#103C2212yes—
37C2×C31×#103C2212yes—
38C2×C31×#103C2212yes—
39C2×C31×C22⋊C8C2212yes—
40C2×C31×C22⋊C8C2211yescharacteristic
41C31×#395—21no—
42C31×#393—21no—
43C31×#391C2212yes—
44C31×#386—21no—
45C31×#385—21no—
46C31×#380C2211yescharacteristic
47C31×#340C2212yes—
48C31×#336C2212yes—
49C22×Q8×C31—22no—
50C22×Q8×C31—22no—
51C22×Q8×C31—21no—
52C22×Q8×C31—21no—
53C22×Q8×C31—22no—
54C22×Q8×C31—21no—
55C22×Q8×C31—24no—
56C22×Q8×C31—24no—
57C22×Q8×C31—24no—
58C22×Q8×C31—22no—
59C22×Q8×C31—22no—
60C22×Q8×C31—42no—
61C22×Q8×C31—42no—
62C22×Q8×C31—42no—
63C22×Q8×C31D414yes—
64C22×Q8×C31C2311yescharacteristic
65C22×Q8×C31C2311yescharacteristic
66C22×Q8×C31C2312yes—
67C22×Q8×C31C2311yescharacteristic
68C22×D4×C31D411yescharacteristic
69C23×C4×C31—21no—
70C23×C4×C31—21no—
71C23×C4×C31—21no—
72C23×C4×C31C2311yescharacteristic
73C23×C4×C31C2311yescharacteristic
74C2×Q16×C31—232no—
75C2×Q16×C31—24no—
76C2×Q16×C31—24no—
77C2×Q16×C31—24no—
78C2×Q16×C31—24no—
79C2×Q16×C31—24no—
80C2×Q16×C31—24no—
81C2×Q16×C31—24no—
82C2×Q16×C31—42no—
83C2×Q16×C31D418yescomplemented
84C22×C8×C31—22no—
85C22×C8×C31—24no—
86C22×C8×C31C2312yes—
87C22×C8×C31C2312yes—
88C31×C4⋊Q8—28no—
89C31×C4⋊Q8—22no—
90C31×C4⋊Q8—22no—
91C31×C22⋊Q8—28no—
92C31×C22⋊Q8—28no—
93C31×C22⋊Q8—22no—
94C31×C22⋊Q8—22no—
95C31×C22⋊Q8—22no—
96C31×C22⋊Q8—24no—
97C31×C22⋊Q8—42no—
98C31×C22⋊Q8D414yes—
99C4×Q8×C31—22no—
100C4×Q8×C31—22no—
101C4×D4×C31—28no—
102C4×D4×C31—22no—
103C4×D4×C31—22no—
104C2×C4⋊C4×C31—21no—
105C2×C4⋊C4×C31—21no—
106C2×C4⋊C4×C31—21no—
107C2×C4⋊C4×C31—21no—
108C2×C4⋊C4×C31—21no—
109C2×C4⋊C4×C31—22no—
110C2×C4⋊C4×C31D411yescharacteristic
111C2×C4⋊C4×C31C2312yes—
112C2×C4⋊C4×C31C2311yescharacteristic
113C2×C22⋊C4×C31—21no—
114C2×C22⋊C4×C31—21no—
115C2×C22⋊C4×C31—22no—
116C2×C22⋊C4×C31—21no—
117C2×C22⋊C4×C31D411yescharacteristic
118C2×C22⋊C4×C31D411yescharacteristic
119C2×C42×C31—21no—
120C2×C42×C31C2311yescharacteristic
121C31×#103—24no—
122C31×#103—24no—
123C31×#103—24no—
124C31×#103—42no—
125C31×C22⋊C8—22no—
126C31×C22⋊C8—24no—
127C31×#95—21no—
128C31×#95—22no—
129C31×#95—22no—
130C24×C31C2×D411yescharacteristic
131C24×C31C2×D411yescharacteristic
132C2×Q8×C31—24no—
133C2×Q8×C31—24no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—22no—
138C2×Q8×C31—22no—
139C2×Q8×C31—28no—
140C2×Q8×C31—28no—
141C2×Q8×C31—22no—
142C2×Q8×C31—22no—
143C2×Q8×C31—22no—
144C2×Q8×C31—22no—
145C2×Q8×C31—22no—
146C2×Q8×C31—22no—
147C2×Q8×C31—22no—
148C2×Q8×C31—22no—
149C2×Q8×C31—44no—
150C2×Q8×C31—44no—
151C2×Q8×C31—44no—
152C2×Q8×C31—44no—
153C2×Q8×C31—48no—
154C2×Q8×C31—48no—
155C2×Q8×C31—44no—
156C2×Q8×C31—48no—
157C2×Q8×C31—44no—
158C2×Q8×C31—44no—
159C2×Q8×C31—42no—
160C2×Q8×C31C2×D412yes—
161C2×Q8×C31C2×D414yes—
162C2×Q8×C31C2×D412yes—
163C2×Q8×C31C2×D414yes—
164C2×Q8×C31C2×D412yes—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31Q1614yescomplemented
168C22×C4×C31—21no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—24no—
172C22×C4×C31—24no—
173C22×C4×C31—22no—
174C22×C4×C31—21no—
175C22×C4×C31—21no—
176C22×C4×C31—21no—
177C22×C4×C31—22no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—22no—
181C22×C4×C31—22no—
182C22×C4×C31—44no—
183C22×C4×C31—44no—
184C22×C4×C31—44no—
185C22×C4×C31—42no—
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D411yescharacteristic
189C22×C4×C31C2×D412yes—
190C22×C4×C31C2×D412yes—
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2411yescharacteristic
193Q16×C31—216no—
194Q16×C31—216no—
195Q16×C31—48no—
196C2×C8×C31—28no—
197C2×C8×C31—22no—
198C2×C8×C31—22no—
199C2×C8×C31—22no—
200C2×C8×C31—22no—
201C2×C8×C31—22no—
202C2×C8×C31C2×D414yes—
203C4⋊C4×C31—24no—
204C4⋊C4×C31—24no—
205C4⋊C4×C31—24no—
206C4⋊C4×C31—24no—
207C4⋊C4×C31—24no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—22no—
211C4⋊C4×C31—22no—
212C4⋊C4×C31—44no—
213C4⋊C4×C31C2×D412yes—
214C22⋊C4×C31—24no—
215C22⋊C4×C31—24no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—44no—
219C22⋊C4×C31—42no—
220C42×C31—24no—
221C42×C31—21no—
222C42×C31—21no—
223#23856C3111yesmaximal, characteristic, direct product factor, Sylow
224C23×C31—22no—
225C23×C31—22no—
226C23×C31—21no—
227C23×C31—22no—
228C23×C31—21no—
229C23×C31—22no—
230C23×C31#12012yes—
231C23×C31C2×Q1612yes—
232C23×C31C2×Q1612yescomplemented
233C23×C31#13712yes—
234C23×C31C22×D411yescharacteristic
235Q8×C31—22no—
236Q8×C31—24no—
237Q8×C31—22no—
238Q8×C31—24no—
239Q8×C31—22no—
240Q8×C31—24no—
241Q8×C31—24no—
242Q8×C31—48no—
243Q8×C31—48no—
244Q8×C31—48no—
245Q8×C31—41no—
246Q8×C31—41no—
247Q8×C31—42no—
248Q8×C31—42no—
249Q8×C31—42no—
250Q8×C31#12014yes—
251D4×C31—28no—
252C2×C4×C31—21no—
253C2×C4×C31—22no—
254C2×C4×C31—22no—
255C2×C4×C31—24no—
256C2×C4×C31—21no—
257C2×C4×C31—22no—
258C2×C4×C31—22no—
259C2×C4×C31—24no—
260C2×C4×C31—21no—
261C2×C4×C31—22no—
262C2×C4×C31—22no—
263C2×C4×C31—22no—
264C2×C4×C31—21no—
265C2×C4×C31—24no—
266C2×C4×C31—22no—
267C2×C4×C31—22no—
268C2×C4×C31—48no—
269C2×C4×C31—48no—
270C2×C4×C31—48no—
271C2×C4×C31—42no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
275C2×C4×C31—42no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—42no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31#12012yes—
283C2×C4×C31C2×Q1612yescomplemented
284C2×C4×C31C22×D411yescharacteristic
285C2×C4×C31C22×D412yes—
286C2×C4×C31C22×D411yescharacteristic
287C2×C4×C31H(5,𝔽2)12yes—
288C8×C31—24no—
289C8×C31—42no—
290C23×Q16C2×C3111yescharacteristic, complemented
291C2×D4×Q8C2×C3111yescharacteristic
292C2×#451C2×C3112yescomplemented
293C2×#451C2×C3111yescharacteristic, complemented
294#2409C2×C3111yescharacteristic
295#2016C2×C3112yescomplemented
296#2001C2×C3112yescomplemented
297#1892C2×C3111yescharacteristic, complemented
298#1878C2×C3112yescomplemented
299#1869C2×C3111yescharacteristic
300#1787C2×C3111yescharacteristic, complemented
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—24no—
304C22×C31—24no—
305C22×C31—22no—
306C22×C31—24no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—42no—
310C22×C31#45114yescomplemented
311C22×C31C2×#12011yescharacteristic
312C22×C31D4212yes—
313C22×C31C22×Q1611yescharacteristic
314C22×C31C2×#13711yescharacteristic
315C22×C31#57812yes—
316C4×C31—22no—
317C4×C31—24no—
318C4×C31—22no—
319C4×C31—41no—
320C4×C31—42no—
321C4×C31—42no—
322C4×C31—44no—
323C4×C31—41no—
324C4×C31—42no—
325C4×C31—82no—
326C4×C31C2×#12011yescharacteristic
327C4×C31#53411yescharacteristic
328C4×C31D4212yes—
329C23×Q8C22×C3111yescharacteristic
330C23×Q8C22×C3111yescharacteristic
331C23×Q8C22×C3111yescharacteristic
332C22×Q16—24no—
333C22×Q16—28no—
334C22×Q16C22×C3112yes—
335C22×Q16C22×C3112yes—
336C22×Q16C22×C3112yes—
337C23×C8C22×C3111yescharacteristic
338D4×Q8—24no—
339D4×Q8—24no—
340C2×C4⋊Q8—21no—
341C2×C4⋊Q8C22×C3111yescharacteristic
342C2×C22⋊Q8—21no—
343C2×C22⋊Q8—21no—
344C2×C22⋊Q8C22×C3111yescharacteristic
345C2×C22⋊Q8C22×C3112yes—
346C2×C22⋊Q8C22×C3111yescharacteristic
347C2×C4×Q8C22×C3111yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4C22×C3111yescharacteristic
350#451—28no—
351#451—24no—
352C2×#103C22×C3112yes—
353C2×#103C22×C3112yes—
354C2×#103C22×C3112yes—
355C2×#103C22×C3112yes—
356C2×C22⋊C8C22×C3112yes—
357C2×C22⋊C8C22×C3111yescharacteristic
358#395—21no—
359#393—21no—
360#391C22×C3112yes—
361#386—21no—
362#385—21no—
363#380C22×C3111yescharacteristic
364#340C22×C3112yes—
365#336C22×C3112yes—
366C2×C31—24no—
367C2×C31—42no—
368C2×C31#240311yescharacteristic
369C2×C31C2×#45111yescharacteristic
370C2×C31#301111yescharacteristic
371C2×C31#327012yes—
372C2×C31D4×Q1612yes—
373C22×Q8—22no—
374C22×Q8—22no—
375C22×Q8—21no—
376C22×Q8—21no—
377C22×Q8—22no—
378C22×Q8—21no—
379C22×Q8—24no—
380C22×Q8—24no—
381C22×Q8—24no—
382C22×Q8—22no—
383C22×Q8—22no—
384C22×Q8—42no—
385C22×Q8—42no—
386C22×Q8—42no—
387C22×Q8D4×C3114yes—
388C22×Q8C23×C3111yescharacteristic
389C22×Q8C23×C3111yescharacteristic
390C22×Q8C23×C3112yes—
391C22×Q8C23×C3111yescharacteristic
392C22×D4D4×C3111yescharacteristic
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4C23×C3111yescharacteristic
397C23×C4C23×C3111yescharacteristic
398C2×Q16—232no—
399C2×Q16—24no—
400C2×Q16—24no—
401C2×Q16—24no—
402C2×Q16—24no—
403C2×Q16—24no—
404C2×Q16—24no—
405C2×Q16—24no—
406C2×Q16—42no—
407C2×Q16D4×C3118yescomplemented
408C22×C8—22no—
409C22×C8—24no—
410C22×C8C23×C3112yes—
411C22×C8C23×C3112yes—
412C4⋊Q8—28no—
413C4⋊Q8—22no—
414C4⋊Q8—22no—
415C22⋊Q8—28no—
416C22⋊Q8—28no—
417C22⋊Q8—22no—
418C22⋊Q8—22no—
419C22⋊Q8—22no—
420C22⋊Q8—24no—
421C22⋊Q8—42no—
422C22⋊Q8D4×C3114yes—
423C4×Q8—22no—
424C4×Q8—22no—
425C4×D4—28no—
426C4×D4—22no—
427C4×D4—22no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4D4×C3111yescharacteristic
435C2×C4⋊C4C23×C3112yes—
436C2×C4⋊C4C23×C3111yescharacteristic
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—22no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4D4×C3111yescharacteristic
442C2×C22⋊C4D4×C3111yescharacteristic
443C2×C42—21no—
444C2×C42C23×C3111yescharacteristic
445#103—24no—
446#103—24no—
447#103—24no—
448#103—42no—
449C22⋊C8—22no—
450C22⋊C8—24no—
451#95—21no—
452#95—22no—
453#95—22no—
454C31#2385611yescharacteristic, direct product factor, Sylow
455C24C2×D4×C3111yescharacteristic
456C24C2×D4×C3111yescharacteristic
457C2×Q8—24no—
458C2×Q8—24no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—28no—
465C2×Q8—28no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—44no—
475C2×Q8—44no—
476C2×Q8—44no—
477C2×Q8—44no—
478C2×Q8—48no—
479C2×Q8—48no—
480C2×Q8—44no—
481C2×Q8—48no—
482C2×Q8—44no—
483C2×Q8—44no—
484C2×Q8—42no—
485C2×Q8C2×D4×C3112yes—
486C2×Q8C2×D4×C3114yes—
487C2×Q8C2×D4×C3112yes—
488C2×Q8C2×D4×C3114yes—
489C2×Q8C2×D4×C3112yes—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4Q16×C3114yescomplemented
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4C2×D4×C3111yescharacteristic
512C22×C4C2×D4×C3111yescharacteristic
513C22×C4C2×D4×C3111yescharacteristic
514C22×C4C2×D4×C3112yes—
515C22×C4C2×D4×C3112yes—
516C22×C4C2×D4×C3111yescharacteristic
517C22×C4C24×C3111yescharacteristic
518Q16—216no—
519Q16—216no—
520Q16—48no—
521C2×C8—28no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8C2×D4×C3114yes—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—44no—
538C4⋊C4C2×D4×C3112yes—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—44no—
544C22⋊C4—42no—
545C42—24no—
546C42—21no—
547C42—21no—
548C23—22no—
549C23—22no—
550C23—21no—
551C23—22no—
552C23—21no—
553C23—22no—
554C23C31×#12012yes—
555C23C2×Q16×C3112yes—
556C23C2×Q16×C3112yescomplemented
557C23C31×#13712yes—
558C23C22×D4×C3111yescharacteristic
559Q8—22no—
560Q8—24no—
561Q8—22no—
562Q8—24no—
563Q8—22no—
564Q8—24no—
565Q8—24no—
566Q8—48no—
567Q8—48no—
568Q8—48no—
569Q8—41no—
570Q8—41no—
571Q8—42no—
572Q8—42no—
573Q8—42no—
574Q8C31×#12014yes—
575D4—28no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—48no—
593C2×C4—48no—
594C2×C4—48no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4C31×#12012yes—
607C2×C4C2×Q16×C3112yescomplemented
608C2×C4C22×D4×C3111yescharacteristic
609C2×C4C22×D4×C3112yes—
610C2×C4C22×D4×C3111yescharacteristic
611C2×C4C31×H(5,𝔽2)12yes—
612C8—24no—
613C8—42no—
614C22—22no—
615C22—22no—
616C22—24no—
617C22—24no—
618C22—22no—
619C22—24no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22C31×#45114yescomplemented
624C22C2×C31×#12011yescharacteristic
625C22D42×C3112yes—
626C22C22×Q16×C3111yescharacteristic
627C22C2×C31×#13711yescharacteristic
628C22C31×#57812yes—
629C4—22no—
630C4—24no—
631C4—22no—
632C4—41no—
633C4—42no—
634C4—42no—
635C4—44no—
636C4—41no—
637C4—42no—
638C4—82no—
639C4C2×C31×#12011yescharacteristic
640C4C31×#53411yescharacteristic
641C4D42×C3112yes—
642C2—24no—
643C2—42no—
644C2C31×#240311yescharacteristic
645C2C2×C31×#45111yescharacteristic
646C2C31×#301111yescharacteristic
647C2C31×#327012yes—
648C2D4×Q16×C3112yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×Q16×C31C2semidirect
3. C2×C31×#451C2semidirect
4. C2×C31×#451C2semidirect
6. C31×#2016C2semidirect
7. C31×#2001C2semidirect
8. C31×#1892C2semidirect
9. C31×#1878C2semidirect
11. C31×#1787C2semidirect
83. C2×Q16×C31D4semidirect
167. C2×D4×C31Q16semidirect
223. #23856C31direct (N × H)
232. C23×C31C2×Q16semidirect
283. C2×C4×C31C2×Q16semidirect
290. C23×Q16C2×C31semidirect
292. C2×#451C2×C31semidirect
293. C2×#451C2×C31semidirect
295. #2016C2×C31semidirect
296. #2001C2×C31semidirect
297. #1892C2×C31semidirect
298. #1878C2×C31semidirect
300. #1787C2×C31semidirect
310. C22×C31#451semidirect
407. C2×Q16D4×C31semidirect
454. C31#23856direct (N × H)
492. C2×D4Q16×C31semidirect
556. C23C2×Q16×C31semidirect
607. C2×C4C2×Q16×C31semidirect
623. C22C31×#451semidirect

Maximal subgroups

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

subgroupindex
C23×Q16×C312
C2×D4×Q8×C312
C2×C31×#4512
C31×#24092
C31×#20162
C31×#20012
C31×#18922
C31×#18782
C31×#18692
C31×#17872
#2385631