Finite Group Databasebeta

← C31×#15268 #21472027

Subgroups — C31×#15268 #21472027

Order 7936.

3502 conjugacy classes of subgroups.

The subgroup lattice has 1568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#120C211yesmaximal, characteristic
2C2×C31×#396C211yesmaximal, characteristic, complemented
3C2×C31×#394C211yesmaximal, characteristic, complemented
4C2×C31×#394C211yesmaximal, characteristic, complemented
5C2×C31×#390C211yesmaximal, characteristic, complemented
6C2×C31×#388C211yesmaximal, characteristic, complemented
7C2×C31×#379C211yesmaximal, characteristic, complemented
8C2×C31×#379C211yesmaximal, characteristic, complemented
9C31×#1440C211yesmaximal, characteristic, complemented
10C31×#1439C211yesmaximal, characteristic, complemented
11C31×#1439C211yesmaximal, characteristic, complemented
12C31×#1438C211yesmaximal, characteristic, complemented
13C31×#1438C211yesmaximal, characteristic, complemented
14C31×#1438C211yesmaximal, characteristic, complemented
15C31×#1437C211yesmaximal, characteristic, complemented
16C26×C31C2211yescharacteristic
17C23×D4×C31C2211yescharacteristic
18C23×D4×C31C2211yescharacteristic
19C23×D4×C31C2211yescharacteristic
20C2×C31×#120—24no—
21C2×C31×#120—24no—
22C2×C31×#120—24no—
23C22×C4⋊C4×C31C2211yescharacteristic, complemented
24C22×C4⋊C4×C31C2211yescharacteristic, complemented
25C22×C4⋊C4×C31C2211yescharacteristic, complemented
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
39C22×C22⋊C4×C31C2211yescharacteristic
40C22×C22⋊C4×C31C2211yescharacteristic
41C22×C22⋊C4×C31C2211yescharacteristic, complemented
42C22×C22⋊C4×C31C2211yescharacteristic, complemented
43C22×C22⋊C4×C31C2211yescharacteristic, complemented
44C22×C22⋊C4×C31C2211yescharacteristic, complemented
45C22×C42×C31C2211yescharacteristic, complemented
46C31×#396—24no—
47C31×#394—24no—
48C31×#394—24no—
49C31×#390—24no—
50C31×#388—24no—
51C31×#379—24no—
52C31×#379—24no—
53C2×C31×#95C2211yescharacteristic, complemented
54C2×C31×#95C2211yescharacteristic, complemented
55C2×C31×#95C2211yescharacteristic, complemented
56C2×C31×#95C2211yescharacteristic, complemented
57C2×C31×#95C2211yescharacteristic, complemented
58C2×C31×#95C2211yescharacteristic, complemented
59C2×C31×#95C2211yescharacteristic, complemented
60C2×C31×#95C2211yescharacteristic, complemented
61C25×C31—22no—
62C25×C31—22no—
63C25×C31—22no—
64C25×C31—22no—
65C25×C31—22no—
66C25×C31—22no—
67C25×C31—22no—
68C25×C31—22no—
69C25×C31—22no—
70C25×C31—41no—
71C25×C31—41no—
72C25×C31—41no—
73C25×C31—41no—
74C25×C31—41no—
75C25×C31—41no—
76C25×C31C2311yescharacteristic
77C25×C31C2311yescharacteristic
78C25×C31C2311yescharacteristic
79C25×C31C2311yescharacteristic
80C22×D4×C31—22no—
81C22×D4×C31—22no—
82C22×D4×C31—22no—
83C22×D4×C31—22no—
84C22×D4×C31—22no—
85C22×D4×C31—22no—
86C22×D4×C31—22no—
87C22×D4×C31—22no—
88C22×D4×C31—22no—
89C22×D4×C31—22no—
90C22×D4×C31—22no—
91C22×D4×C31—22no—
92C22×D4×C31—22no—
93C22×D4×C31—22no—
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×C31D414yes—
101C23×C4×C31C2311yescharacteristic
102C23×C4×C31C2311yescharacteristic
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
112C31×#120—232no—
113C2×C4⋊C4×C31—22no—
114C2×C4⋊C4×C31—22no—
115C2×C4⋊C4×C31—22no—
116C2×C4⋊C4×C31—22no—
117C2×C4⋊C4×C31—22no—
118C2×C4⋊C4×C31—22no—
119C2×C4⋊C4×C31—22no—
120C2×C4⋊C4×C31—41no—
121C2×C4⋊C4×C31—41no—
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—22no—
137C2×C22⋊C4×C31—22no—
138C2×C22⋊C4×C31—22no—
139C2×C22⋊C4×C31—22no—
140C2×C22⋊C4×C31—22no—
141C2×C22⋊C4×C31—22no—
142C2×C22⋊C4×C31—22no—
143C2×C22⋊C4×C31—22no—
144C2×C22⋊C4×C31—22no—
145C2×C22⋊C4×C31—22no—
146C2×C22⋊C4×C31—22no—
147C2×C22⋊C4×C31—22no—
148C2×C22⋊C4×C31—22no—
149C2×C22⋊C4×C31—22no—
150C2×C22⋊C4×C31—22no—
151C2×C22⋊C4×C31—22no—
152C2×C22⋊C4×C31—22no—
153C2×C22⋊C4×C31—22no—
154C2×C22⋊C4×C31—22no—
155C2×C22⋊C4×C31—22no—
156C2×C22⋊C4×C31—22no—
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×C31—41no—
165C2×C22⋊C4×C31—41no—
166C2×C22⋊C4×C31—41no—
167C2×C22⋊C4×C31—41no—
168C2×C22⋊C4×C31—41no—
169C2×C22⋊C4×C31—41no—
170C2×C22⋊C4×C31—41no—
171C2×C22⋊C4×C31—41no—
172C2×C22⋊C4×C31—41no—
173C2×C22⋊C4×C31—41no—
174C2×C22⋊C4×C31—41no—
175C2×C22⋊C4×C31D414yes—
176C2×C22⋊C4×C31D414yes—
177C2×C22⋊C4×C31D414yescomplemented
178C2×C22⋊C4×C31D414yescomplemented
179C2×C42×C31—22no—
180C2×C42×C31—22no—
181C2×C42×C31—41no—
182C31×#95—22no—
183C31×#95—22no—
184C31×#95—22no—
185C31×#95—22no—
186C31×#95—22no—
187C31×#95—41no—
188C31×#95—41no—
189C31×#95—41no—
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—28no—
227C24×C31—28no—
228C24×C31—28no—
229C24×C31—21no—
230C24×C31—21no—
231C24×C31—21no—
232C24×C31—21no—
233C24×C31—21no—
234C24×C31—21no—
235C24×C31—21no—
236C24×C31—21no—
237C24×C31—21no—
238C24×C31—21no—
239C24×C31—21no—
240C24×C31—21no—
241C24×C31—21no—
242C24×C31—21no—
243C24×C31—44no—
244C24×C31—44no—
245C24×C31—44no—
246C24×C31—44no—
247C24×C31—44no—
248C24×C31—44no—
249C24×C31—44no—
250C24×C31—44no—
251C24×C31—44no—
252C24×C31—44no—
253C24×C31—44no—
254C24×C31—44no—
255C24×C31—44no—
256C24×C31—44no—
257C24×C31—44no—
258C24×C31—44no—
259C24×C31—44no—
260C24×C31—44no—
261C24×C31—44no—
262C24×C31—44no—
263C24×C31—44no—
264C24×C31—44no—
265C24×C31—44no—
266C24×C31—44no—
267C24×C31—44no—
268C24×C31—44no—
269C24×C31—44no—
270C24×C31—44no—
271C24×C31—44no—
272C24×C31—44no—
273C24×C31—44no—
274C24×C31—44no—
275C24×C31C2×D412yes—
276C24×C31C2×D412yes—
277C24×C31C2×D412yes—
278C24×C31C2×D412yes—
279C24×C31C2×D412yes—
280C24×C31C2×D412yes—
281C24×C31#4112yes—
282C24×C31#4112yes—
283C24×C31#4112yes—
284C24×C31#4112yes—
285C24×C31C2411yescharacteristic
286C2×D4×C31—28no—
287C2×D4×C31—28no—
288C2×D4×C31—28no—
289C2×D4×C31—28no—
290C2×D4×C31—44no—
291C2×D4×C31—44no—
292C2×D4×C31—44no—
293C2×D4×C31—44no—
294C2×D4×C31—44no—
295C2×D4×C31—44no—
296C2×D4×C31—44no—
297C2×D4×C31—44no—
298C2×D4×C31—44no—
299C2×D4×C31—44no—
300C2×D4×C31—44no—
301C2×D4×C31—44no—
302C2×D4×C31—44no—
303C2×D4×C31—44no—
304C2×D4×C31—44no—
305C2×D4×C31—44no—
306C2×D4×C31—44no—
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×C31—21no—
351C22×C4×C31—21no—
352C22×C4×C31—21no—
353C22×C4×C31—21no—
354C22×C4×C31—21no—
355C22×C4×C31—21no—
356C22×C4×C31—21no—
357C22×C4×C31—21no—
358C22×C4×C31—21no—
359C22×C4×C31—21no—
360C22×C4×C31—21no—
361C22×C4×C31—21no—
362C22×C4×C31—21no—
363C22×C4×C31—21no—
364C22×C4×C31—21no—
365C22×C4×C31—21no—
366C22×C4×C31—21no—
367C22×C4×C31—21no—
368C22×C4×C31—21no—
369C22×C4×C31—21no—
370C22×C4×C31—21no—
371C22×C4×C31—21no—
372C22×C4×C31—21no—
373C22×C4×C31—21no—
374C22×C4×C31—21no—
375C22×C4×C31C2×D412yes—
376C22×C4×C31C2×D412yes—
377C22×C4×C31C2×D412yes—
378C22×C4×C31C2×D412yes—
379C22×C4×C31C2×D412yes—
380C22×C4×C31C2×D412yes—
381C22×C4×C31C2×D412yes—
382C22×C4×C31C2×D412yes—
383C22×C4×C31C2×D412yes—
384C4⋊C4×C31—44no—
385C4⋊C4×C31—44no—
386C4⋊C4×C31—44no—
387C22⋊C4×C31—28no—
388C22⋊C4×C31—28no—
389C22⋊C4×C31—28no—
390C22⋊C4×C31—28no—
391C22⋊C4×C31—44no—
392C22⋊C4×C31—44no—
393C22⋊C4×C31—44no—
394C22⋊C4×C31—44no—
395C22⋊C4×C31—44no—
396C22⋊C4×C31—44no—
397C22⋊C4×C31—44no—
398C22⋊C4×C31—44no—
399C22⋊C4×C31—44no—
400C22⋊C4×C31—44no—
401C22⋊C4×C31—44no—
402C22⋊C4×C31—44no—
403C22⋊C4×C31—44no—
404C22⋊C4×C31—44no—
405C22⋊C4×C31—44no—
406C42×C31—44no—
407#15268C3111yesmaximal, characteristic, direct product factor, Sylow
408C23×C31—22no—
409C23×C31—22no—
410C23×C31—22no—
411C23×C31—22no—
412C23×C31—22no—
413C23×C31—22no—
414C23×C31—22no—
415C23×C31—22no—
416C23×C31—22no—
417C23×C31—22no—
418C23×C31—22no—
419C23×C31—22no—
420C23×C31—22no—
421C23×C31—22no—
422C23×C31—22no—
423C23×C31—22no—
424C23×C31—22no—
425C23×C31—22no—
426C23×C31—22no—
427C23×C31—22no—
428C23×C31—22no—
429C23×C31—22no—
430C23×C31—22no—
431C23×C31—22no—
432C23×C31—22no—
433C23×C31—22no—
434C23×C31—22no—
435C23×C31—22no—
436C23×C31—22no—
437C23×C31—22no—
438C23×C31—22no—
439C23×C31—22no—
440C23×C31—22no—
441C23×C31—22no—
442C23×C31—22no—
443C23×C31—22no—
444C23×C31—22no—
445C23×C31—22no—
446C23×C31—22no—
447C23×C31—22no—
448C23×C31—22no—
449C23×C31—22no—
450C23×C31—22no—
451C23×C31—22no—
452C23×C31—22no—
453C23×C31—22no—
454C23×C31—22no—
455C23×C31—22no—
456C23×C31—22no—
457C23×C31—22no—
458C23×C31—22no—
459C23×C31—22no—
460C23×C31—22no—
461C23×C31—22no—
462C23×C31—22no—
463C23×C31—22no—
464C23×C31—22no—
465C23×C31—22no—
466C23×C31—22no—
467C23×C31—22no—
468C23×C31—22no—
469C23×C31—416no—
470C23×C31—416no—
471C23×C31—416no—
472C23×C31—416no—
473C23×C31—416no—
474C23×C31—416no—
475C23×C31—416no—
476C23×C31—416no—
477C23×C31—416no—
478C23×C31—416no—
479C23×C31—416no—
480C23×C31—416no—
481C23×C31—416no—
482C23×C31—416no—
483C23×C31—416no—
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×C31—41no—
516C23×C31—41no—
517C23×C31—41no—
518C23×C31—41no—
519C23×C31—41no—
520C23×C31—41no—
521C23×C31—41no—
522C23×C31—41no—
523C23×C31—41no—
524C23×C31—41no—
525C23×C31—41no—
526C23×C31—41no—
527C23×C31—41no—
528C23×C31—41no—
529C23×C31—41no—
530C23×C31—41no—
531C23×C31—41no—
532C23×C31—41no—
533C23×C31—41no—
534C23×C31—41no—
535C23×C31—41no—
536C23×C31—41no—
537C23×C31—41no—
538C23×C31—41no—
539C23×C31—41no—
540C23×C31—41no—
541C23×C31—41no—
542C23×C31—41no—
543C23×C31—41no—
544C23×C31—41no—
545C23×C31—41no—
546C23×C31—41no—
547C23×C31—41no—
548C23×C31—41no—
549C23×C31—41no—
550C23×C31—41no—
551C23×C31—41no—
552C23×C31—41no—
553C23×C31—41no—
554C23×C31—41no—
555C23×C31—41no—
556C23×C31—41no—
557C23×C31—41no—
558C23×C31—41no—
559C23×C31—41no—
560C23×C31#12114yes—
561C23×C31#12114yes—
562C23×C31#12414yes—
563C23×C31C22×D411yescharacteristic
564C23×C31C22×D411yescharacteristic
565C23×C31C22×D411yescharacteristic
566C23×C31C22×D411yescharacteristic
567C23×C31C22×D411yescharacteristic
568C23×C31C2×#4111yescharacteristic
569C23×C31C2×#4111yescharacteristic
570C23×C31C2×#4111yescharacteristic
571C23×C31C2×#4111yescharacteristic
572C23×C31H(5,𝔽2)11yescharacteristic
573C23×C31H(5,𝔽2)11yescharacteristic
574C23×C31H(5,𝔽2)11yescharacteristic
575C23×C31H(5,𝔽2)11yescharacteristic
576C23×C31H(5,𝔽2)11yescharacteristic
577C23×C31H(5,𝔽2)11yescharacteristic
578D4×C31—416no—
579D4×C31—416no—
580D4×C31—416no—
581C2×C4×C31—22no—
582C2×C4×C31—22no—
583C2×C4×C31—22no—
584C2×C4×C31—22no—
585C2×C4×C31—22no—
586C2×C4×C31—22no—
587C2×C4×C31—22no—
588C2×C4×C31—22no—
589C2×C4×C31—22no—
590C2×C4×C31—22no—
591C2×C4×C31—22no—
592C2×C4×C31—22no—
593C2×C4×C31—22no—
594C2×C4×C31—22no—
595C2×C4×C31—22no—
596C2×C4×C31—22no—
597C2×C4×C31—22no—
598C2×C4×C31—22no—
599C2×C4×C31—22no—
600C2×C4×C31—22no—
601C2×C4×C31—22no—
602C2×C4×C31—22no—
603C2×C4×C31—22no—
604C2×C4×C31—22no—
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×C4×C31—41no—
614C2×C4×C31—41no—
615C2×C4×C31—41no—
616C2×C4×C31—41no—
617C2×C4×C31—41no—
618C2×C4×C31—41no—
619C2×C4×C31—41no—
620C2×C4×C31—41no—
621C2×C4×C31—41no—
622C2×C4×C31—41no—
623C2×C4×C31—41no—
624C2×C4×C31—41no—
625C2×C4×C31—41no—
626C2×C4×C31—41no—
627C2×C4×C31—41no—
628C2×C4×C31—41no—
629C2×C4×C31—41no—
630C2×C4×C31—41no—
631C2×C4×C31—41no—
632C2×C4×C31—41no—
633C2×C4×C31—41no—
634C2×C4×C31—41no—
635C2×C4×C31—41no—
636C2×C4×C31—41no—
637C2×C4×C31—41no—
638C2×C4×C31—41no—
639C2×C4×C31—41no—
640C2×C4×C31—41no—
641C2×C4×C31—41no—
642C2×C4×C31—41no—
643C2×C4×C31—41no—
644C2×C4×C31—41no—
645C2×C4×C31—41no—
646C2×C4×C31—41no—
647C2×C4×C31—41no—
648C2×C4×C31—41no—
649C2×C4×C31—41no—
650C2×C4×C31—41no—
651C2×C4×C31—41no—
652C2×C4×C31—41no—
653C2×C4×C31—41no—
654C2×C4×C31—41no—
655C2×C4×C31—41no—
656C2×C4×C31—41no—
657C2×C4×C31#12014yes—
658C22×#120C2×C3111yescharacteristic
659C2×#396C2×C3111yescharacteristic, complemented
660C2×#394C2×C3111yescharacteristic, complemented
661C2×#394C2×C3111yescharacteristic, complemented
662C2×#390C2×C3111yescharacteristic, complemented
663C2×#388C2×C3111yescharacteristic, complemented
664C2×#379C2×C3111yescharacteristic, complemented
665C2×#379C2×C3111yescharacteristic, complemented
666#1440C2×C3111yescharacteristic, complemented
667#1439C2×C3111yescharacteristic, complemented
668#1439C2×C3111yescharacteristic, complemented
669#1438C2×C3111yescharacteristic, complemented
670#1438C2×C3111yescharacteristic, complemented
671#1438C2×C3111yescharacteristic, complemented
672#1437C2×C3111yescharacteristic, complemented
673C22×C31—24no—
674C22×C31—24no—
675C22×C31—24no—
676C22×C31—24no—
677C22×C31—24no—
678C22×C31—24no—
679C22×C31—24no—
680C22×C31—24no—
681C22×C31—24no—
682C22×C31—464no—
683C22×C31—42no—
684C22×C31—42no—
685C22×C31—42no—
686C22×C31—42no—
687C22×C31—42no—
688C22×C31—42no—
689C22×C31—42no—
690C22×C31—42no—
691C22×C31—42no—
692C22×C31—42no—
693C22×C31—42no—
694C22×C31—42no—
695C22×C31—42no—
696C22×C31—42no—
697C22×C31—42no—
698C22×C31—42no—
699C22×C31—42no—
700C22×C31—42no—
701C22×C31—42no—
702C22×C31—42no—
703C22×C31—42no—
704C22×C31—42no—
705C22×C31—42no—
706C22×C31—42no—
707C22×C31—42no—
708C22×C31—42no—
709C22×C31—42no—
710C22×C31—42no—
711C22×C31—42no—
712C22×C31—42no—
713C22×C31—42no—
714C22×C31—42no—
715C22×C31—42no—
716C22×C31—42no—
717C22×C31—42no—
718C22×C31—42no—
719C22×C31—42no—
720C22×C31—42no—
721C22×C31—42no—
722C22×C31—42no—
723C22×C31—42no—
724C22×C31—42no—
725C22×C31—42no—
726C22×C31—81no—
727C22×C31—81no—
728C22×C31—81no—
729C22×C31—81no—
730C22×C31—81no—
731C22×C31—81no—
732C22×C31—81no—
733C22×C31—81no—
734C22×C31C2×#12011yescharacteristic
735C22×C31C2×#12111yescharacteristic
736C22×C31C2×#12111yescharacteristic
737C22×C31#52511yescharacteristic
738C22×C31#52511yescharacteristic
739C22×C31C2×#12411yescharacteristic
740C22×C31#53411yescharacteristic
741C22×C31#53411yescharacteristic
742C22×C31#53511yescharacteristic
743C22×C31#53511yescharacteristic
744C22×C31#53511yescharacteristic
745C22×C31#53811yescharacteristic
746C22×C31#53811yescharacteristic
747C22×C31#53811yescharacteristic
748C22×C31#53811yescharacteristic
749C22×C31D4211yescharacteristic
750C22×C31D4211yescharacteristic
751C22×C31D4211yescharacteristic
752C22×C31D4211yescharacteristic
753C22×C31D4211yescharacteristic
754C22×C31#54611yescharacteristic
755C22×C31#54611yescharacteristic
756C22×C31#54611yescharacteristic
757C22×C31#54611yescharacteristic
758C22×C31#54611yescharacteristic
759C22×C31#54611yescharacteristic
760C22×C31#54611yescharacteristic
761C22×C31#54611yescharacteristic
762C22×C31#54611yescharacteristic
763C22×C31#54611yescharacteristic
764C22×C31#55111yescharacteristic
765C22×C31#55111yescharacteristic
766C22×C31#55111yescharacteristic
767C22×C31#56011yescharacteristic
768C22×C31#56011yescharacteristic
769C4×C31—24no—
770C4×C31—42no—
771C4×C31—42no—
772C4×C31—42no—
773C4×C31—42no—
774C4×C31—42no—
775C4×C31—42no—
776C4×C31—81no—
777C4×C31—81no—
778C4×C31—81no—
779C4×C31—81no—
780C26C22×C3111yescharacteristic
781C23×D4C22×C3111yescharacteristic
782C23×D4C22×C3111yescharacteristic
783C23×D4C22×C3111yescharacteristic
784C2×#120—24no—
785C2×#120—24no—
786C2×#120—24no—
787C22×C4⋊C4C22×C3111yescharacteristic, complemented
788C22×C4⋊C4C22×C3111yescharacteristic, complemented
789C22×C4⋊C4C22×C3111yescharacteristic, complemented
790C22×C22⋊C4C22×C3111yescharacteristic
791C22×C22⋊C4C22×C3111yescharacteristic
792C22×C22⋊C4C22×C3111yescharacteristic
793C22×C22⋊C4C22×C3111yescharacteristic
794C22×C22⋊C4C22×C3111yescharacteristic
795C22×C22⋊C4C22×C3111yescharacteristic
796C22×C22⋊C4C22×C3111yescharacteristic
797C22×C22⋊C4C22×C3111yescharacteristic
798C22×C22⋊C4C22×C3111yescharacteristic
799C22×C22⋊C4C22×C3111yescharacteristic
800C22×C22⋊C4C22×C3111yescharacteristic
801C22×C22⋊C4C22×C3111yescharacteristic
802C22×C22⋊C4C22×C3111yescharacteristic
803C22×C22⋊C4C22×C3111yescharacteristic
804C22×C22⋊C4C22×C3111yescharacteristic
805C22×C22⋊C4C22×C3111yescharacteristic, complemented
806C22×C22⋊C4C22×C3111yescharacteristic, complemented
807C22×C22⋊C4C22×C3111yescharacteristic, complemented
808C22×C22⋊C4C22×C3111yescharacteristic, complemented
809C22×C42C22×C3111yescharacteristic, complemented
810#396—24no—
811#394—24no—
812#394—24no—
813#390—24no—
814#388—24no—
815#379—24no—
816#379—24no—
817C2×#95C22×C3111yescharacteristic, complemented
818C2×#95C22×C3111yescharacteristic, complemented
819C2×#95C22×C3111yescharacteristic, complemented
820C2×#95C22×C3111yescharacteristic, complemented
821C2×#95C22×C3111yescharacteristic, complemented
822C2×#95C22×C3111yescharacteristic, complemented
823C2×#95C22×C3111yescharacteristic, complemented
824C2×#95C22×C3111yescharacteristic, complemented
825C2×C31—44no—
826C2×C31—44no—
827C2×C31—44no—
828C2×C31—82no—
829C2×C31#240811yescharacteristic
830C2×C31#241011yescharacteristic
831C2×C31#241111yescharacteristic
832C2×C31#242411yescharacteristic
833C2×C31#242411yescharacteristic
834C2×C31#243511yescharacteristic
835C2×C31#247211yescharacteristic
836C2×C31#247211yescharacteristic
837C2×C31#253411yescharacteristic
838C2×C31#266911yescharacteristic
839C2×C31#267811yescharacteristic
840C2×C31#267811yescharacteristic
841C2×C31#268511yescharacteristic
842C2×C31#268511yescharacteristic
843C2×C31#269711yescharacteristic
844C25—22no—
845C25—22no—
846C25—22no—
847C25—22no—
848C25—22no—
849C25—22no—
850C25—22no—
851C25—22no—
852C25—22no—
853C25—41no—
854C25—41no—
855C25—41no—
856C25—41no—
857C25—41no—
858C25—41no—
859C25C23×C3111yescharacteristic
860C25C23×C3111yescharacteristic
861C25C23×C3111yescharacteristic
862C25C23×C3111yescharacteristic
863C22×D4—22no—
864C22×D4—22no—
865C22×D4—22no—
866C22×D4—22no—
867C22×D4—22no—
868C22×D4—22no—
869C22×D4—22no—
870C22×D4—22no—
871C22×D4—22no—
872C22×D4—22no—
873C22×D4—22no—
874C22×D4—22no—
875C22×D4—22no—
876C22×D4—22no—
877C22×D4—41no—
878C22×D4—41no—
879C22×D4—41no—
880C22×D4—41no—
881C22×D4—41no—
882C22×D4—41no—
883C22×D4D4×C3114yes—
884C23×C4C23×C3111yescharacteristic
885C23×C4C23×C3111yescharacteristic
886C23×C4C23×C3111yescharacteristic
887C23×C4C23×C3111yescharacteristic
888C23×C4C23×C3111yescharacteristic
889C23×C4C23×C3111yescharacteristic
890C23×C4C23×C3111yescharacteristic
891C23×C4C23×C3111yescharacteristic
892C23×C4C23×C3111yescharacteristic
893C23×C4C23×C3111yescharacteristic
894C23×C4C23×C3111yescharacteristic
895#120—232no—
896C2×C4⋊C4—22no—
897C2×C4⋊C4—22no—
898C2×C4⋊C4—22no—
899C2×C4⋊C4—22no—
900C2×C4⋊C4—22no—
901C2×C4⋊C4—22no—
902C2×C4⋊C4—22no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4—41no—
905C2×C22⋊C4—22no—
906C2×C22⋊C4—22no—
907C2×C22⋊C4—22no—
908C2×C22⋊C4—22no—
909C2×C22⋊C4—22no—
910C2×C22⋊C4—22no—
911C2×C22⋊C4—22no—
912C2×C22⋊C4—22no—
913C2×C22⋊C4—22no—
914C2×C22⋊C4—22no—
915C2×C22⋊C4—22no—
916C2×C22⋊C4—22no—
917C2×C22⋊C4—22no—
918C2×C22⋊C4—22no—
919C2×C22⋊C4—22no—
920C2×C22⋊C4—22no—
921C2×C22⋊C4—22no—
922C2×C22⋊C4—22no—
923C2×C22⋊C4—22no—
924C2×C22⋊C4—22no—
925C2×C22⋊C4—22no—
926C2×C22⋊C4—22no—
927C2×C22⋊C4—22no—
928C2×C22⋊C4—22no—
929C2×C22⋊C4—22no—
930C2×C22⋊C4—22no—
931C2×C22⋊C4—22no—
932C2×C22⋊C4—22no—
933C2×C22⋊C4—22no—
934C2×C22⋊C4—22no—
935C2×C22⋊C4—22no—
936C2×C22⋊C4—22no—
937C2×C22⋊C4—22no—
938C2×C22⋊C4—22no—
939C2×C22⋊C4—22no—
940C2×C22⋊C4—41no—
941C2×C22⋊C4—41no—
942C2×C22⋊C4—41no—
943C2×C22⋊C4—41no—
944C2×C22⋊C4—41no—
945C2×C22⋊C4—41no—
946C2×C22⋊C4—41no—
947C2×C22⋊C4—41no—
948C2×C22⋊C4—41no—
949C2×C22⋊C4—41no—
950C2×C22⋊C4—41no—
951C2×C22⋊C4—41no—
952C2×C22⋊C4—41no—
953C2×C22⋊C4—41no—
954C2×C22⋊C4—41no—
955C2×C22⋊C4—41no—
956C2×C22⋊C4—41no—
957C2×C22⋊C4—41no—
958C2×C22⋊C4D4×C3114yes—
959C2×C22⋊C4D4×C3114yes—
960C2×C22⋊C4D4×C3114yescomplemented
961C2×C22⋊C4D4×C3114yescomplemented
962C2×C42—22no—
963C2×C42—22no—
964C2×C42—41no—
965#95—22no—
966#95—22no—
967#95—22no—
968#95—22no—
969#95—22no—
970#95—41no—
971#95—41no—
972#95—41no—
973C31#1526811yescharacteristic, direct product factor, Sylow
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—28no—
1011C24—28no—
1012C24—28no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24C2×D4×C3112yes—
1060C24C2×D4×C3112yes—
1061C24C2×D4×C3112yes—
1062C24C2×D4×C3112yes—
1063C24C2×D4×C3112yes—
1064C24C2×D4×C3112yes—
1065C24#41×C3112yes—
1066C24#41×C3112yes—
1067C24#41×C3112yes—
1068C24#41×C3112yes—
1069C24C24×C3111yescharacteristic
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4C2×D4×C3112yes—
1160C22×C4C2×D4×C3112yes—
1161C22×C4C2×D4×C3112yes—
1162C22×C4C2×D4×C3112yes—
1163C22×C4C2×D4×C3112yes—
1164C22×C4C2×D4×C3112yes—
1165C22×C4C2×D4×C3112yes—
1166C22×C4C2×D4×C3112yes—
1167C22×C4C2×D4×C3112yes—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C42—44no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—416no—
1253C23—416no—
1254C23—416no—
1255C23—416no—
1256C23—416no—
1257C23—416no—
1258C23—416no—
1259C23—416no—
1260C23—416no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23C31×#12114yes—
1344C23C31×#12114yes—
1345C23C31×#12414yes—
1346C23C22×D4×C3111yescharacteristic
1347C23C22×D4×C3111yescharacteristic
1348C23C22×D4×C3111yescharacteristic
1349C23C22×D4×C3111yescharacteristic
1350C23C22×D4×C3111yescharacteristic
1351C23C2×#41×C3111yescharacteristic
1352C23C2×#41×C3111yescharacteristic
1353C23C2×#41×C3111yescharacteristic
1354C23C2×#41×C3111yescharacteristic
1355C23C31×H(5,𝔽2)11yescharacteristic
1356C23C31×H(5,𝔽2)11yescharacteristic
1357C23C31×H(5,𝔽2)11yescharacteristic
1358C23C31×H(5,𝔽2)11yescharacteristic
1359C23C31×H(5,𝔽2)11yescharacteristic
1360C23C31×H(5,𝔽2)11yescharacteristic
1361D4—416no—
1362D4—416no—
1363D4—416no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4C31×#12014yes—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—24no—
1450C22—464no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22C2×C31×#12011yescharacteristic
1503C22C2×C31×#12111yescharacteristic
1504C22C2×C31×#12111yescharacteristic
1505C22C31×#52511yescharacteristic
1506C22C31×#52511yescharacteristic
1507C22C2×C31×#12411yescharacteristic
1508C22C31×#53411yescharacteristic
1509C22C31×#53411yescharacteristic
1510C22C31×#53511yescharacteristic
1511C22C31×#53511yescharacteristic
1512C22C31×#53511yescharacteristic
1513C22C31×#53811yescharacteristic
1514C22C31×#53811yescharacteristic
1515C22C31×#53811yescharacteristic
1516C22C31×#53811yescharacteristic
1517C22D42×C3111yescharacteristic
1518C22D42×C3111yescharacteristic
1519C22D42×C3111yescharacteristic
1520C22D42×C3111yescharacteristic
1521C22D42×C3111yescharacteristic
1522C22C31×#54611yescharacteristic
1523C22C31×#54611yescharacteristic
1524C22C31×#54611yescharacteristic
1525C22C31×#54611yescharacteristic
1526C22C31×#54611yescharacteristic
1527C22C31×#54611yescharacteristic
1528C22C31×#54611yescharacteristic
1529C22C31×#54611yescharacteristic
1530C22C31×#54611yescharacteristic
1531C22C31×#54611yescharacteristic
1532C22C31×#55111yescharacteristic
1533C22C31×#55111yescharacteristic
1534C22C31×#55111yescharacteristic
1535C22C31×#56011yescharacteristic
1536C22C31×#56011yescharacteristic
1537C4—24no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C2—44no—
1549C2—44no—
1550C2—44no—
1551C2—82no—
1552C2C31×#240811yescharacteristic
1553C2C31×#241011yescharacteristic
1554C2C31×#241111yescharacteristic
1555C2C31×#242411yescharacteristic
1556C2C31×#242411yescharacteristic
1557C2C31×#243511yescharacteristic
1558C2C31×#247211yescharacteristic
1559C2C31×#247211yescharacteristic
1560C2C31×#253411yescharacteristic
1561C2C31×#266911yescharacteristic
1562C2C31×#267811yescharacteristic
1563C2C31×#267811yescharacteristic
1564C2C31×#268511yescharacteristic
1565C2C31×#268511yescharacteristic
1566C2C31×#269711yescharacteristic
subgroupG/H
center, socleC24×C31C24
commutator, Frattini, cosocleC24C24×C31
prime radicalC22×C31×#120C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#396C2semidirect
3. C2×C31×#394C2semidirect
4. C2×C31×#394C2semidirect
5. C2×C31×#390C2semidirect
6. C2×C31×#388C2semidirect
7. C2×C31×#379C2semidirect
8. C2×C31×#379C2semidirect
9. C31×#1440C2semidirect
10. C31×#1439C2semidirect
11. C31×#1439C2semidirect
12. C31×#1438C2semidirect
13. C31×#1438C2semidirect
14. C31×#1438C2semidirect
15. C31×#1437C2semidirect
23. C22×C4⋊C4×C31C22semidirect
24. C22×C4⋊C4×C31C22semidirect
25. C22×C4⋊C4×C31C22semidirect
41. C22×C22⋊C4×C31C22semidirect
42. C22×C22⋊C4×C31C22semidirect
43. C22×C22⋊C4×C31C22semidirect
44. C22×C22⋊C4×C31C22semidirect
45. C22×C42×C31C22semidirect
53. C2×C31×#95C22semidirect
54. C2×C31×#95C22semidirect
55. C2×C31×#95C22semidirect
56. C2×C31×#95C22semidirect
57. C2×C31×#95C22semidirect
58. C2×C31×#95C22semidirect
59. C2×C31×#95C22semidirect
60. C2×C31×#95C22semidirect
177. C2×C22⋊C4×C31D4semidirect
178. C2×C22⋊C4×C31D4semidirect
407. #15268C31direct (N × H)
659. C2×#396C2×C31semidirect
660. C2×#394C2×C31semidirect
661. C2×#394C2×C31semidirect
662. C2×#390C2×C31semidirect
663. C2×#388C2×C31semidirect
664. C2×#379C2×C31semidirect
665. C2×#379C2×C31semidirect
666. #1440C2×C31semidirect
667. #1439C2×C31semidirect
668. #1439C2×C31semidirect
669. #1438C2×C31semidirect
670. #1438C2×C31semidirect
671. #1438C2×C31semidirect
672. #1437C2×C31semidirect
787. C22×C4⋊C4C22×C31semidirect
788. C22×C4⋊C4C22×C31semidirect
789. C22×C4⋊C4C22×C31semidirect
805. C22×C22⋊C4C22×C31semidirect
806. C22×C22⋊C4C22×C31semidirect
807. C22×C22⋊C4C22×C31semidirect
808. C22×C22⋊C4C22×C31semidirect
809. C22×C42C22×C31semidirect
817. C2×#95C22×C31semidirect
818. C2×#95C22×C31semidirect
819. C2×#95C22×C31semidirect
820. C2×#95C22×C31semidirect
821. C2×#95C22×C31semidirect
822. C2×#95C22×C31semidirect
823. C2×#95C22×C31semidirect
824. C2×#95C22×C31semidirect
960. C2×C22⋊C4D4×C31semidirect
961. C2×C22⋊C4D4×C31semidirect
973. C31#15268direct (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
C2×C31×#3962
C2×C31×#3942
C2×C31×#3902
C2×C31×#3882
C2×C31×#3792
C31×#14402
C31×#14392
C31×#14382
C31×#14372
#1526831