Finite Group Databasebeta

← C31×#17086 #21473845

Subgroups — C31×#17086 #21473845

Order 7936.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#397C211yesmaximal, characteristic, complemented
2C2×C31×#394C211yesmaximal, characteristic, complemented
3C2×C31×#392C211yesmaximal, characteristic, complemented
4C2×C31×#392C211yesmaximal, characteristic, complemented
5C2×C31×#392C211yesmaximal, characteristic, complemented
6C2×C31×#392C211yesmaximal, characteristic, complemented
7C31×#1443C211yesmaximal, characteristic, complemented
8C31×#1440C211yesmaximal, characteristic, complemented
9C31×#1440C211yesmaximal, characteristic, complemented
10C31×#1439C211yesmaximal, characteristic, complemented
11C31×#1438C211yesmaximal, characteristic, complemented
12C31×#1438C211yesmaximal, characteristic, complemented
13C31×#1438C211yesmaximal, characteristic, complemented
14C31×#1438C211yesmaximal, characteristic, complemented
15C31×#1438C211yesmaximal, characteristic, complemented
16C23×D4×C31C2211yescharacteristic
17C23×D4×C31C2211yescharacteristic
18C23×D4×C31C2211yescharacteristic
19C23×D4×C31C2211yescharacteristic
20C23×D4×C31C2211yescharacteristic
21C23×D4×C31C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C22×C22⋊C4×C31C2211yescharacteristic
24C22×C22⋊C4×C31C2211yescharacteristic
25C22×C22⋊C4×C31C2211yescharacteristic
26C22×C22⋊C4×C31C2211yescharacteristic
27C22×C22⋊C4×C31C2211yescharacteristic
28C22×C22⋊C4×C31C2211yescharacteristic
29C22×C22⋊C4×C31C2211yescharacteristic
30C22×C22⋊C4×C31C2211yescharacteristic
31C22×C22⋊C4×C31C2211yescharacteristic
32C22×C22⋊C4×C31C2211yescharacteristic
33C22×C22⋊C4×C31C2211yescharacteristic
34C22×C22⋊C4×C31C2211yescharacteristic
35C22×C22⋊C4×C31C2211yescharacteristic
36C22×C22⋊C4×C31C2211yescharacteristic
37C22×C22⋊C4×C31C2211yescharacteristic
38C22×C22⋊C4×C31C2211yescharacteristic
39C31×#397—24no—
40C31×#394—24no—
41C31×#392—24no—
42C31×#392—24no—
43C31×#392—24no—
44C31×#392—24no—
45C2×C31×#95C2211yescharacteristic
46C2×C31×#95C2211yescharacteristic
47C2×C31×#95C2211yescharacteristic
48C2×C31×#95C2211yescharacteristic
49C2×C31×#95C2211yescharacteristic
50C2×C31×#95C2211yescharacteristic
51C2×C31×#95C2211yescharacteristic
52C2×C31×#95C2211yescharacteristic
53C2×C31×#95C2211yescharacteristic
54C2×C31×#95C2211yescharacteristic
55C2×C31×#95C2211yescharacteristic
56C2×C31×#95C2211yescharacteristic
57C25×C31C2311yescharacteristic
58C25×C31C2311yescharacteristic
59C25×C31C2311yescharacteristic
60C25×C31C2311yescharacteristic
61C22×D4×C31—22no—
62C22×D4×C31—22no—
63C22×D4×C31—22no—
64C22×D4×C31—22no—
65C22×D4×C31—22no—
66C22×D4×C31—22no—
67C22×D4×C31—22no—
68C22×D4×C31—22no—
69C22×D4×C31—22no—
70C22×D4×C31—22no—
71C22×D4×C31—22no—
72C22×D4×C31—22no—
73C22×D4×C31—22no—
74C22×D4×C31—22no—
75C22×D4×C31—22no—
76C22×D4×C31—41no—
77C22×D4×C31—41no—
78C22×D4×C31—41no—
79C22×D4×C31—41no—
80C22×D4×C31—41no—
81C22×D4×C31—41no—
82C22×D4×C31—41no—
83C22×D4×C31—41no—
84C22×D4×C31—41no—
85C22×D4×C31—41no—
86C22×D4×C31—41no—
87C22×D4×C31—41no—
88C22×D4×C31—41no—
89C22×D4×C31—41no—
90C22×D4×C31—41no—
91C22×D4×C31—41no—
92C22×D4×C31—41no—
93C22×D4×C31—41no—
94C22×D4×C31—41no—
95C22×D4×C31—41no—
96C22×D4×C31—41no—
97C22×D4×C31—41no—
98C22×D4×C31—41no—
99C22×D4×C31—41no—
100C22×D4×C31—41no—
101C22×D4×C31—41no—
102C22×D4×C31D414yescomplemented
103C23×C4×C31C2311yescharacteristic
104C23×C4×C31C2311yescharacteristic
105C23×C4×C31C2311yescharacteristic
106C23×C4×C31C2311yescharacteristic
107C23×C4×C31C2311yescharacteristic
108C23×C4×C31C2311yescharacteristic
109C23×C4×C31C2311yescharacteristic
110C23×C4×C31C2311yescharacteristic
111C23×C4×C31C2311yescharacteristic
112C23×C4×C31C2311yescharacteristic
113C23×C4×C31C2311yescharacteristic
114C2×C4⋊C4×C31—22no—
115C2×C4⋊C4×C31—22no—
116C2×C4⋊C4×C31—41no—
117C2×C22⋊C4×C31—22no—
118C2×C22⋊C4×C31—22no—
119C2×C22⋊C4×C31—22no—
120C2×C22⋊C4×C31—22no—
121C2×C22⋊C4×C31—22no—
122C2×C22⋊C4×C31—22no—
123C2×C22⋊C4×C31—22no—
124C2×C22⋊C4×C31—22no—
125C2×C22⋊C4×C31—22no—
126C2×C22⋊C4×C31—22no—
127C2×C22⋊C4×C31—22no—
128C2×C22⋊C4×C31—22no—
129C2×C22⋊C4×C31—22no—
130C2×C22⋊C4×C31—22no—
131C2×C22⋊C4×C31—22no—
132C2×C22⋊C4×C31—22no—
133C2×C22⋊C4×C31—22no—
134C2×C22⋊C4×C31—22no—
135C2×C22⋊C4×C31—22no—
136C2×C22⋊C4×C31—41no—
137C2×C22⋊C4×C31—41no—
138C2×C22⋊C4×C31—41no—
139C2×C22⋊C4×C31—41no—
140C2×C22⋊C4×C31—41no—
141C2×C22⋊C4×C31—41no—
142C2×C22⋊C4×C31—41no—
143C2×C22⋊C4×C31—41no—
144C2×C22⋊C4×C31—41no—
145C2×C22⋊C4×C31—41no—
146C2×C22⋊C4×C31—41no—
147C2×C22⋊C4×C31—41no—
148C2×C22⋊C4×C31—41no—
149C2×C22⋊C4×C31—41no—
150C2×C22⋊C4×C31—41no—
151C2×C22⋊C4×C31—41no—
152C2×C22⋊C4×C31—41no—
153C2×C22⋊C4×C31—41no—
154C2×C22⋊C4×C31—41no—
155C2×C22⋊C4×C31—41no—
156C2×C22⋊C4×C31—41no—
157C2×C22⋊C4×C31—41no—
158C2×C22⋊C4×C31—41no—
159C2×C22⋊C4×C31—41no—
160C2×C22⋊C4×C31—41no—
161C2×C22⋊C4×C31—41no—
162C2×C22⋊C4×C31—41no—
163C2×C22⋊C4×C31—41no—
164C2×C22⋊C4×C31D414yescomplemented
165C31×#95—22no—
166C31×#95—22no—
167C31×#95—22no—
168C31×#95—22no—
169C31×#95—22no—
170C31×#95—22no—
171C31×#95—41no—
172C31×#95—41no—
173C31×#95—41no—
174C31×#95—41no—
175C31×#95—41no—
176C31×#95D414yescomplemented
177C24×C31—21no—
178C24×C31—21no—
179C24×C31—21no—
180C24×C31—21no—
181C24×C31—21no—
182C24×C31—21no—
183C24×C31—21no—
184C24×C31—21no—
185C24×C31—21no—
186C24×C31—21no—
187C24×C31—21no—
188C24×C31—21no—
189C24×C31—21no—
190C24×C31—21no—
191C24×C31—21no—
192C24×C31—21no—
193C24×C31—21no—
194C24×C31—21no—
195C24×C31—21no—
196C24×C31—21no—
197C24×C31—21no—
198C24×C31—21no—
199C24×C31—21no—
200C24×C31—21no—
201C24×C31—21no—
202C24×C31—21no—
203C24×C31—21no—
204C24×C31—21no—
205C24×C31—21no—
206C24×C31—21no—
207C24×C31—21no—
208C24×C31—21no—
209C24×C31—21no—
210C24×C31—21no—
211C24×C31—21no—
212C24×C31—21no—
213C24×C31—21no—
214C24×C31—21no—
215C24×C31—21no—
216C24×C31—21no—
217C24×C31—21no—
218C24×C31—21no—
219C24×C31—21no—
220C24×C31—21no—
221C24×C31—21no—
222C24×C31—21no—
223C24×C31—21no—
224C24×C31—21no—
225C24×C31—21no—
226C24×C31—21no—
227C24×C31—21no—
228C24×C31—21no—
229C24×C31—21no—
230C24×C31—21no—
231C24×C31—21no—
232C24×C31—21no—
233C24×C31C2×D412yes—
234C24×C31C2×D412yes—
235C24×C31C2×D412yes—
236C24×C31#4112yes—
237C24×C31C2411yescharacteristic
238C2×D4×C31—44no—
239C2×D4×C31—44no—
240C2×D4×C31—44no—
241C2×D4×C31—44no—
242C2×D4×C31—44no—
243C2×D4×C31—44no—
244C2×D4×C31—44no—
245C2×D4×C31—44no—
246C2×D4×C31—44no—
247C2×D4×C31—44no—
248C2×D4×C31—44no—
249C2×D4×C31—44no—
250C2×D4×C31—44no—
251C2×D4×C31—44no—
252C2×D4×C31—44no—
253C2×D4×C31—44no—
254C2×D4×C31—44no—
255C2×D4×C31—44no—
256C2×D4×C31—44no—
257C2×D4×C31—44no—
258C2×D4×C31—44no—
259C2×D4×C31—44no—
260C2×D4×C31—44no—
261C2×D4×C31—44no—
262C2×D4×C31—44no—
263C2×D4×C31—44no—
264C2×D4×C31—44no—
265C2×D4×C31—44no—
266C2×D4×C31—44no—
267C2×D4×C31—44no—
268C2×D4×C31—44no—
269C2×D4×C31—44no—
270C2×D4×C31—44no—
271C2×D4×C31—44no—
272C2×D4×C31—44no—
273C2×D4×C31—44no—
274C2×D4×C31—44no—
275C2×D4×C31—44no—
276C2×D4×C31—44no—
277C2×D4×C31—44no—
278C2×D4×C31—44no—
279C2×D4×C31—44no—
280C22×C4×C31—21no—
281C22×C4×C31—21no—
282C22×C4×C31—21no—
283C22×C4×C31—21no—
284C22×C4×C31—21no—
285C22×C4×C31—21no—
286C22×C4×C31—21no—
287C22×C4×C31—21no—
288C22×C4×C31—21no—
289C22×C4×C31—21no—
290C22×C4×C31—21no—
291C22×C4×C31—21no—
292C22×C4×C31—21no—
293C22×C4×C31—21no—
294C22×C4×C31—21no—
295C22×C4×C31—21no—
296C22×C4×C31—21no—
297C22×C4×C31—21no—
298C22×C4×C31—21no—
299C22×C4×C31—21no—
300C22×C4×C31—21no—
301C22×C4×C31—21no—
302C22×C4×C31—21no—
303C22×C4×C31—21no—
304C22×C4×C31—21no—
305C22×C4×C31—21no—
306C22×C4×C31—21no—
307C22×C4×C31—21no—
308C22×C4×C31—21no—
309C22×C4×C31—21no—
310C22×C4×C31—21no—
311C22×C4×C31—21no—
312C22×C4×C31—21no—
313C22×C4×C31—21no—
314C22×C4×C31—21no—
315C22×C4×C31—21no—
316C22×C4×C31—21no—
317C22×C4×C31—21no—
318C22×C4×C31—21no—
319C22×C4×C31—21no—
320C22×C4×C31—21no—
321C22×C4×C31—21no—
322C22×C4×C31—21no—
323C22×C4×C31—21no—
324C22×C4×C31—21no—
325C22×C4×C31—21no—
326C22×C4×C31—21no—
327C22×C4×C31—21no—
328C22×C4×C31—21no—
329C22×C4×C31—21no—
330C22×C4×C31—21no—
331C22×C4×C31—21no—
332C22×C4×C31—21no—
333C22×C4×C31—21no—
334C22×C4×C31—21no—
335C22×C4×C31—21no—
336C22×C4×C31—21no—
337C22×C4×C31—21no—
338C22×C4×C31—21no—
339C22×C4×C31—21no—
340C22×C4×C31—21no—
341C22×C4×C31—21no—
342C22×C4×C31—21no—
343C22×C4×C31—21no—
344C22×C4×C31—21no—
345C22×C4×C31—21no—
346C22×C4×C31—21no—
347C22×C4×C31—21no—
348C22×C4×C31—21no—
349C22×C4×C31—21no—
350C22×C4×C31C2×D412yes—
351C22×C4×C31C2×D412yes—
352C22×C4×C31C2×D412yes—
353C22×C4×C31C2×D412yes—
354C22×C4×C31C2×D412yes—
355C22×C4×C31C2×D412yes—
356C22×C4×C31#4112yes—
357C4⋊C4×C31—44no—
358C22⋊C4×C31—44no—
359C22⋊C4×C31—44no—
360C22⋊C4×C31—44no—
361C22⋊C4×C31—44no—
362C22⋊C4×C31—44no—
363C22⋊C4×C31—44no—
364C22⋊C4×C31—44no—
365C22⋊C4×C31—44no—
366C22⋊C4×C31—44no—
367C22⋊C4×C31—44no—
368C22⋊C4×C31—44no—
369C22⋊C4×C31—44no—
370C22⋊C4×C31—44no—
371C22⋊C4×C31—44no—
372C22⋊C4×C31—44no—
373C22⋊C4×C31—44no—
374#17086C3111yesmaximal, characteristic, direct product factor, Sylow
375C23×C31—22no—
376C23×C31—22no—
377C23×C31—22no—
378C23×C31—22no—
379C23×C31—22no—
380C23×C31—22no—
381C23×C31—22no—
382C23×C31—22no—
383C23×C31—22no—
384C23×C31—22no—
385C23×C31—22no—
386C23×C31—22no—
387C23×C31—22no—
388C23×C31—22no—
389C23×C31—22no—
390C23×C31—22no—
391C23×C31—22no—
392C23×C31—22no—
393C23×C31—22no—
394C23×C31—22no—
395C23×C31—22no—
396C23×C31—22no—
397C23×C31—22no—
398C23×C31—22no—
399C23×C31—22no—
400C23×C31—22no—
401C23×C31—22no—
402C23×C31—22no—
403C23×C31—41no—
404C23×C31—41no—
405C23×C31—41no—
406C23×C31—41no—
407C23×C31—41no—
408C23×C31—41no—
409C23×C31—41no—
410C23×C31—41no—
411C23×C31—41no—
412C23×C31—41no—
413C23×C31—41no—
414C23×C31—41no—
415C23×C31—41no—
416C23×C31—41no—
417C23×C31—41no—
418C23×C31—41no—
419C23×C31—41no—
420C23×C31—41no—
421C23×C31—41no—
422C23×C31—41no—
423C23×C31—41no—
424C23×C31—41no—
425C23×C31—41no—
426C23×C31—41no—
427C23×C31—41no—
428C23×C31—41no—
429C23×C31—41no—
430C23×C31—41no—
431C23×C31—41no—
432C23×C31—41no—
433C23×C31—41no—
434C23×C31—41no—
435C23×C31—41no—
436C23×C31—41no—
437C23×C31—41no—
438C23×C31—41no—
439C23×C31—41no—
440C23×C31—41no—
441C23×C31—41no—
442C23×C31—41no—
443C23×C31—41no—
444C23×C31—41no—
445C23×C31—41no—
446C23×C31—41no—
447C23×C31—41no—
448C23×C31—41no—
449C23×C31—41no—
450C23×C31—41no—
451C23×C31—41no—
452C23×C31—41no—
453C23×C31—41no—
454C23×C31—41no—
455C23×C31—41no—
456C23×C31—41no—
457C23×C31—41no—
458C23×C31—41no—
459C23×C31—41no—
460C23×C31—41no—
461C23×C31—41no—
462C23×C31—41no—
463C23×C31—41no—
464C23×C31—41no—
465C23×C31—41no—
466C23×C31—41no—
467C23×C31—41no—
468C23×C31—41no—
469C23×C31—41no—
470C23×C31—41no—
471C23×C31—41no—
472C23×C31—41no—
473C23×C31—41no—
474C23×C31—41no—
475C23×C31—41no—
476C23×C31—41no—
477C23×C31—41no—
478C23×C31—41no—
479C23×C31—41no—
480C23×C31—41no—
481C23×C31—41no—
482C23×C31—41no—
483C23×C31—41no—
484C23×C31—41no—
485C23×C31—41no—
486C23×C31—41no—
487C23×C31—41no—
488C23×C31—41no—
489C23×C31—41no—
490C23×C31—41no—
491C23×C31—41no—
492C23×C31—41no—
493C23×C31—41no—
494C23×C31—41no—
495C23×C31—41no—
496C23×C31—41no—
497C23×C31—41no—
498C23×C31—41no—
499C23×C31—41no—
500C23×C31—41no—
501C23×C31—41no—
502C23×C31—41no—
503C23×C31—41no—
504C23×C31—41no—
505C23×C31—41no—
506C23×C31—41no—
507C23×C31—41no—
508C23×C31—41no—
509C23×C31—41no—
510C23×C31—41no—
511C23×C31—41no—
512C23×C31—41no—
513C23×C31—41no—
514C23×C31—41no—
515C23×C31C22×D411yescharacteristic
516C23×C31C22×D411yescharacteristic
517C23×C31C22×D411yescharacteristic
518C23×C31C2×#4111yescharacteristic
519C23×C31C2×#4111yescharacteristic
520C23×C31H(5,𝔽2)11yescharacteristic
521C23×C31H(5,𝔽2)11yescharacteristic
522C23×C31H(5,𝔽2)11yescharacteristic
523C23×C31H(5,𝔽2)11yescharacteristic
524C23×C31H(5,𝔽2)11yescharacteristic
525C23×C31H(5,𝔽2)11yescharacteristic
526C23×C31H(5,𝔽2)11yescharacteristic
527C23×C31H(5,𝔽2)11yescharacteristic
528C23×C31H(5,𝔽2)11yescharacteristic
529C23×C31H(5,𝔽2)11yescharacteristic
530D4×C31—416no—
531D4×C31—416no—
532D4×C31—416no—
533D4×C31—416no—
534D4×C31—416no—
535D4×C31—416no—
536C2×C4×C31—22no—
537C2×C4×C31—22no—
538C2×C4×C31—22no—
539C2×C4×C31—22no—
540C2×C4×C31—22no—
541C2×C4×C31—22no—
542C2×C4×C31—22no—
543C2×C4×C31—22no—
544C2×C4×C31—22no—
545C2×C4×C31—22no—
546C2×C4×C31—22no—
547C2×C4×C31—22no—
548C2×C4×C31—22no—
549C2×C4×C31—22no—
550C2×C4×C31—22no—
551C2×C4×C31—22no—
552C2×C4×C31—22no—
553C2×C4×C31—22no—
554C2×C4×C31—22no—
555C2×C4×C31—22no—
556C2×C4×C31—22no—
557C2×C4×C31—41no—
558C2×C4×C31—41no—
559C2×C4×C31—41no—
560C2×C4×C31—41no—
561C2×C4×C31—41no—
562C2×C4×C31—41no—
563C2×C4×C31—41no—
564C2×C4×C31—41no—
565C2×C4×C31—41no—
566C2×C4×C31—41no—
567C2×C4×C31—41no—
568C2×C4×C31—41no—
569C2×C4×C31—41no—
570C2×C4×C31—41no—
571C2×C4×C31—41no—
572C2×C4×C31—41no—
573C2×C4×C31—41no—
574C2×C4×C31—41no—
575C2×C4×C31—41no—
576C2×C4×C31—41no—
577C2×C4×C31—41no—
578C2×C4×C31—41no—
579C2×C4×C31—41no—
580C2×C4×C31—41no—
581C2×C4×C31—41no—
582C2×C4×C31—41no—
583C2×C4×C31—41no—
584C2×C4×C31—41no—
585C2×C4×C31—41no—
586C2×C4×C31—41no—
587C2×C4×C31—41no—
588C2×C4×C31—41no—
589C2×C4×C31—41no—
590C2×C4×C31—41no—
591C2×C4×C31—41no—
592C2×C4×C31—41no—
593C2×C4×C31—41no—
594C2×C4×C31—41no—
595C2×C4×C31—41no—
596C2×C4×C31—41no—
597C2×C4×C31—41no—
598C2×C4×C31—41no—
599C2×C4×C31—41no—
600C2×C4×C31—41no—
601C2×C4×C31—41no—
602C2×C4×C31—41no—
603C2×C4×C31—41no—
604C2×C4×C31—41no—
605C2×C4×C31—41no—
606C2×C4×C31—41no—
607C2×C4×C31—41no—
608C2×C4×C31—41no—
609C2×C4×C31—41no—
610C2×C4×C31—41no—
611C2×C4×C31—41no—
612C2×C4×C31—41no—
613C2×#397C2×C3111yescharacteristic, complemented
614C2×#394C2×C3111yescharacteristic, complemented
615C2×#392C2×C3111yescharacteristic, complemented
616C2×#392C2×C3111yescharacteristic, complemented
617C2×#392C2×C3111yescharacteristic, complemented
618C2×#392C2×C3111yescharacteristic, complemented
619#1443C2×C3111yescharacteristic, complemented
620#1440C2×C3111yescharacteristic, complemented
621#1440C2×C3111yescharacteristic, complemented
622#1439C2×C3111yescharacteristic, complemented
623#1438C2×C3111yescharacteristic, complemented
624#1438C2×C3111yescharacteristic, complemented
625#1438C2×C3111yescharacteristic, complemented
626#1438C2×C3111yescharacteristic, complemented
627#1438C2×C3111yescharacteristic, complemented
628C22×C31—42no—
629C22×C31—42no—
630C22×C31—42no—
631C22×C31—42no—
632C22×C31—42no—
633C22×C31—42no—
634C22×C31—42no—
635C22×C31—42no—
636C22×C31—42no—
637C22×C31—42no—
638C22×C31—42no—
639C22×C31—42no—
640C22×C31—42no—
641C22×C31—42no—
642C22×C31—42no—
643C22×C31—42no—
644C22×C31—42no—
645C22×C31—42no—
646C22×C31—42no—
647C22×C31—42no—
648C22×C31—42no—
649C22×C31—42no—
650C22×C31—42no—
651C22×C31—42no—
652C22×C31—42no—
653C22×C31—42no—
654C22×C31—42no—
655C22×C31—42no—
656C22×C31—81no—
657C22×C31—81no—
658C22×C31—81no—
659C22×C31—81no—
660C22×C31—81no—
661C22×C31—81no—
662C22×C31—81no—
663C22×C31—81no—
664C22×C31—81no—
665C22×C31—81no—
666C22×C31—81no—
667C22×C31—81no—
668C22×C31—81no—
669C22×C31—81no—
670C22×C31—81no—
671C22×C31—81no—
672C22×C31—81no—
673C22×C31—81no—
674C22×C31—81no—
675C22×C31—81no—
676C22×C31—81no—
677C22×C31—81no—
678C22×C31—81no—
679C22×C31—81no—
680C22×C31—81no—
681C22×C31—81no—
682C22×C31—81no—
683C22×C31—81no—
684C22×C31—81no—
685C22×C31—81no—
686C22×C31—81no—
687C22×C31—81no—
688C22×C31#53411yescharacteristic
689C22×C31#53411yescharacteristic
690C22×C31#53411yescharacteristic
691C22×C31#53411yescharacteristic
692C22×C31#53511yescharacteristic
693C22×C31#53511yescharacteristic
694C22×C31#53511yescharacteristic
695C22×C31#53511yescharacteristic
696C22×C31#53511yescharacteristic
697C22×C31#53811yescharacteristic
698C22×C31#53811yescharacteristic
699C22×C31#53811yescharacteristic
700C22×C31#53811yescharacteristic
701C22×C31#54011yescharacteristic
702C22×C31#54011yescharacteristic
703C22×C31D4211yescharacteristic
704C22×C31D4211yescharacteristic
705C22×C31D4211yescharacteristic
706C22×C31#54611yescharacteristic
707C22×C31#54611yescharacteristic
708C22×C31#54611yescharacteristic
709C22×C31#54611yescharacteristic
710C22×C31#54611yescharacteristic
711C22×C31#55011yescharacteristic
712C22×C31#55311yescharacteristic
713C22×C31#56011yescharacteristic
714C22×C31#56011yescharacteristic
715C22×C31#56011yescharacteristic
716C22×C31#56011yescharacteristic
717C22×C31#56011yescharacteristic
718C22×C31#56011yescharacteristic
719C22×C31#56011yescharacteristic
720C22×C31#56011yescharacteristic
721C22×C31#56011yescharacteristic
722C22×C31H(3,𝔽4)11yescharacteristic
723C4×C31—42no—
724C4×C31—42no—
725C4×C31—42no—
726C4×C31—42no—
727C4×C31—42no—
728C4×C31—42no—
729C4×C31—42no—
730C4×C31—81no—
731C4×C31—81no—
732C4×C31—81no—
733C4×C31—81no—
734C23×D4C22×C3111yescharacteristic
735C23×D4C22×C3111yescharacteristic
736C23×D4C22×C3111yescharacteristic
737C23×D4C22×C3111yescharacteristic
738C23×D4C22×C3111yescharacteristic
739C23×D4C22×C3111yescharacteristic
740C22×C4⋊C4C22×C3111yescharacteristic
741C22×C22⋊C4C22×C3111yescharacteristic
742C22×C22⋊C4C22×C3111yescharacteristic
743C22×C22⋊C4C22×C3111yescharacteristic
744C22×C22⋊C4C22×C3111yescharacteristic
745C22×C22⋊C4C22×C3111yescharacteristic
746C22×C22⋊C4C22×C3111yescharacteristic
747C22×C22⋊C4C22×C3111yescharacteristic
748C22×C22⋊C4C22×C3111yescharacteristic
749C22×C22⋊C4C22×C3111yescharacteristic
750C22×C22⋊C4C22×C3111yescharacteristic
751C22×C22⋊C4C22×C3111yescharacteristic
752C22×C22⋊C4C22×C3111yescharacteristic
753C22×C22⋊C4C22×C3111yescharacteristic
754C22×C22⋊C4C22×C3111yescharacteristic
755C22×C22⋊C4C22×C3111yescharacteristic
756C22×C22⋊C4C22×C3111yescharacteristic
757#397—24no—
758#394—24no—
759#392—24no—
760#392—24no—
761#392—24no—
762#392—24no—
763C2×#95C22×C3111yescharacteristic
764C2×#95C22×C3111yescharacteristic
765C2×#95C22×C3111yescharacteristic
766C2×#95C22×C3111yescharacteristic
767C2×#95C22×C3111yescharacteristic
768C2×#95C22×C3111yescharacteristic
769C2×#95C22×C3111yescharacteristic
770C2×#95C22×C3111yescharacteristic
771C2×#95C22×C3111yescharacteristic
772C2×#95C22×C3111yescharacteristic
773C2×#95C22×C3111yescharacteristic
774C2×#95C22×C3111yescharacteristic
775C2×C31—82no—
776C2×C31—82no—
777C2×C31—82no—
778C2×C31—82no—
779C2×C31#266811yescharacteristic
780C2×C31#266911yescharacteristic
781C2×C31#267011yescharacteristic
782C2×C31#267311yescharacteristic
783C2×C31#267311yescharacteristic
784C2×C31#267811yescharacteristic
785C2×C31#267811yescharacteristic
786C2×C31#268811yescharacteristic
787C2×C31#270311yescharacteristic
788C2×C31#271411yescharacteristic
789C2×C31#281211yescharacteristic
790C2×C31#281511yescharacteristic
791C2×C31#281811yescharacteristic
792C2×C31#282511yescharacteristic
793C2×C31#282811yescharacteristic
794C25C23×C3111yescharacteristic
795C25C23×C3111yescharacteristic
796C25C23×C3111yescharacteristic
797C25C23×C3111yescharacteristic
798C22×D4—22no—
799C22×D4—22no—
800C22×D4—22no—
801C22×D4—22no—
802C22×D4—22no—
803C22×D4—22no—
804C22×D4—22no—
805C22×D4—22no—
806C22×D4—22no—
807C22×D4—22no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—41no—
814C22×D4—41no—
815C22×D4—41no—
816C22×D4—41no—
817C22×D4—41no—
818C22×D4—41no—
819C22×D4—41no—
820C22×D4—41no—
821C22×D4—41no—
822C22×D4—41no—
823C22×D4—41no—
824C22×D4—41no—
825C22×D4—41no—
826C22×D4—41no—
827C22×D4—41no—
828C22×D4—41no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4D4×C3114yescomplemented
840C23×C4C23×C3111yescharacteristic
841C23×C4C23×C3111yescharacteristic
842C23×C4C23×C3111yescharacteristic
843C23×C4C23×C3111yescharacteristic
844C23×C4C23×C3111yescharacteristic
845C23×C4C23×C3111yescharacteristic
846C23×C4C23×C3111yescharacteristic
847C23×C4C23×C3111yescharacteristic
848C23×C4C23×C3111yescharacteristic
849C23×C4C23×C3111yescharacteristic
850C23×C4C23×C3111yescharacteristic
851C2×C4⋊C4—22no—
852C2×C4⋊C4—22no—
853C2×C4⋊C4—41no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4D4×C3114yescomplemented
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
906#95—22no—
907#95—22no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95D4×C3114yescomplemented
914C31#1708611yescharacteristic, direct product factor, Sylow
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24C2×D4×C3112yes—
972C24C2×D4×C3112yes—
973C24C2×D4×C3112yes—
974C24#41×C3112yes—
975C24C24×C3111yescharacteristic
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4C2×D4×C3112yes—
1089C22×C4C2×D4×C3112yes—
1090C22×C4C2×D4×C3112yes—
1091C22×C4C2×D4×C3112yes—
1092C22×C4C2×D4×C3112yes—
1093C22×C4C2×D4×C3112yes—
1094C22×C4#41×C3112yes—
1095C4⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23C22×D4×C3111yescharacteristic
1253C23C22×D4×C3111yescharacteristic
1254C23C22×D4×C3111yescharacteristic
1255C23C2×#41×C3111yescharacteristic
1256C23C2×#41×C3111yescharacteristic
1257C23C31×H(5,𝔽2)11yescharacteristic
1258C23C31×H(5,𝔽2)11yescharacteristic
1259C23C31×H(5,𝔽2)11yescharacteristic
1260C23C31×H(5,𝔽2)11yescharacteristic
1261C23C31×H(5,𝔽2)11yescharacteristic
1262C23C31×H(5,𝔽2)11yescharacteristic
1263C23C31×H(5,𝔽2)11yescharacteristic
1264C23C31×H(5,𝔽2)11yescharacteristic
1265C23C31×H(5,𝔽2)11yescharacteristic
1266C23C31×H(5,𝔽2)11yescharacteristic
1267D4—416no—
1268D4—416no—
1269D4—416no—
1270D4—416no—
1271D4—416no—
1272D4—416no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C22—42no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—42no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—42no—
1364C22—42no—
1365C22—42no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22C31×#53411yescharacteristic
1411C22C31×#53411yescharacteristic
1412C22C31×#53411yescharacteristic
1413C22C31×#53411yescharacteristic
1414C22C31×#53511yescharacteristic
1415C22C31×#53511yescharacteristic
1416C22C31×#53511yescharacteristic
1417C22C31×#53511yescharacteristic
1418C22C31×#53511yescharacteristic
1419C22C31×#53811yescharacteristic
1420C22C31×#53811yescharacteristic
1421C22C31×#53811yescharacteristic
1422C22C31×#53811yescharacteristic
1423C22C31×#54011yescharacteristic
1424C22C31×#54011yescharacteristic
1425C22D42×C3111yescharacteristic
1426C22D42×C3111yescharacteristic
1427C22D42×C3111yescharacteristic
1428C22C31×#54611yescharacteristic
1429C22C31×#54611yescharacteristic
1430C22C31×#54611yescharacteristic
1431C22C31×#54611yescharacteristic
1432C22C31×#54611yescharacteristic
1433C22C31×#55011yescharacteristic
1434C22C31×#55311yescharacteristic
1435C22C31×#56011yescharacteristic
1436C22C31×#56011yescharacteristic
1437C22C31×#56011yescharacteristic
1438C22C31×#56011yescharacteristic
1439C22C31×#56011yescharacteristic
1440C22C31×#56011yescharacteristic
1441C22C31×#56011yescharacteristic
1442C22C31×#56011yescharacteristic
1443C22C31×#56011yescharacteristic
1444C22C31×H(3,𝔽4)11yescharacteristic
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C2—82no—
1457C2—82no—
1458C2—82no—
1459C2—82no—
1460C2C31×#266811yescharacteristic
1461C2C31×#266911yescharacteristic
1462C2C31×#267011yescharacteristic
1463C2C31×#267311yescharacteristic
1464C2C31×#267311yescharacteristic
1465C2C31×#267811yescharacteristic
1466C2C31×#267811yescharacteristic
1467C2C31×#268811yescharacteristic
1468C2C31×#270311yescharacteristic
1469C2C31×#271411yescharacteristic
1470C2C31×#281211yescharacteristic
1471C2C31×#281511yescharacteristic
1472C2C31×#281811yescharacteristic
1473C2C31×#282511yescharacteristic
1474C2C31×#282811yescharacteristic
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#397C2semidirect
2. C2×C31×#394C2semidirect
3. C2×C31×#392C2semidirect
4. C2×C31×#392C2semidirect
5. C2×C31×#392C2semidirect
6. C2×C31×#392C2semidirect
7. C31×#1443C2semidirect
8. C31×#1440C2semidirect
9. C31×#1440C2semidirect
10. C31×#1439C2semidirect
11. C31×#1438C2semidirect
12. C31×#1438C2semidirect
13. C31×#1438C2semidirect
14. C31×#1438C2semidirect
15. C31×#1438C2semidirect
102. C22×D4×C31D4semidirect
164. C2×C22⋊C4×C31D4semidirect
176. C31×#95D4semidirect
374. #17086C31direct (N × H)
613. C2×#397C2×C31semidirect
614. C2×#394C2×C31semidirect
615. C2×#392C2×C31semidirect
616. C2×#392C2×C31semidirect
617. C2×#392C2×C31semidirect
618. C2×#392C2×C31semidirect
619. #1443C2×C31semidirect
620. #1440C2×C31semidirect
621. #1440C2×C31semidirect
622. #1439C2×C31semidirect
623. #1438C2×C31semidirect
624. #1438C2×C31semidirect
625. #1438C2×C31semidirect
626. #1438C2×C31semidirect
627. #1438C2×C31semidirect
839. C22×D4D4×C31semidirect
901. C2×C22⋊C4D4×C31semidirect
913. #95D4×C31semidirect
914. C31#17086direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3972
C2×C31×#3942
C2×C31×#3922
C31×#14432
C31×#14402
C31×#14392
C31×#14382
#1708631