Finite Group Databasebeta

← C31×#16255 #21473014

Subgroups — C31×#16255 #21473014

Order 7936.

3370 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#120C211yesmaximal, characteristic
2C2×C31×#397C211yesmaximal, characteristic, complemented
3C2×C31×#394C211yesmaximal, characteristic, complemented
4C2×C31×#394C211yesmaximal, characteristic, complemented
5C2×C31×#379C211yesmaximal, characteristic, complemented
6C2×C31×#379C211yesmaximal, characteristic, complemented
7C31×#1440C211yesmaximal, characteristic, complemented
8C31×#1440C211yesmaximal, characteristic, complemented
9C31×#1439C211yesmaximal, characteristic, complemented
10C31×#1439C211yesmaximal, characteristic, complemented
11C31×#1439C211yesmaximal, characteristic, complemented
12C31×#1438C211yesmaximal, characteristic, complemented
13C31×#1438C211yesmaximal, characteristic, complemented
14C31×#1438C211yesmaximal, characteristic, complemented
15C31×#1438C211yesmaximal, 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×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
39C22×C22⋊C4×C31C2211yescharacteristic
40C22×C22⋊C4×C31C2211yescharacteristic, complemented
41C22×C22⋊C4×C31C2211yescharacteristic, complemented
42C22×C22⋊C4×C31C2211yescharacteristic, complemented
43C22×C22⋊C4×C31C2211yescharacteristic, complemented
44C31×#397—24no—
45C31×#394—24no—
46C31×#394—24no—
47C31×#379—24no—
48C31×#379—24no—
49C2×C31×#95C2211yescharacteristic, complemented
50C2×C31×#95C2211yescharacteristic, complemented
51C2×C31×#95C2211yescharacteristic, complemented
52C2×C31×#95C2211yescharacteristic, complemented
53C2×C31×#95C2211yescharacteristic, complemented
54C2×C31×#95C2211yescharacteristic, complemented
55C2×C31×#95C2211yescharacteristic, complemented
56C2×C31×#95C2211yescharacteristic, complemented
57C2×C31×#95C2211yescharacteristic, complemented
58C2×C31×#95C2211yescharacteristic, complemented
59C25×C31—22no—
60C25×C31—22no—
61C25×C31—22no—
62C25×C31—22no—
63C25×C31—22no—
64C25×C31—22no—
65C25×C31—41no—
66C25×C31—41no—
67C25×C31—41no—
68C25×C31—41no—
69C25×C31—41no—
70C25×C31—41no—
71C25×C31—41no—
72C25×C31—41no—
73C25×C31D414yes—
74C25×C31C2311yescharacteristic
75C25×C31C2311yescharacteristic
76C25×C31C2311yescharacteristic
77C25×C31C2311yescharacteristic
78C22×D4×C31—22no—
79C22×D4×C31—22no—
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—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×C31D414yes—
99C23×C4×C31C2311yescharacteristic
100C23×C4×C31C2311yescharacteristic
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
110C31×#120—232no—
111C2×C4⋊C4×C31—22no—
112C2×C4⋊C4×C31—22no—
113C2×C4⋊C4×C31—22no—
114C2×C4⋊C4×C31—41no—
115C2×C4⋊C4×C31—41no—
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—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—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×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×C31D414yes—
173C2×C22⋊C4×C31D414yescomplemented
174C31×#95—22no—
175C31×#95—22no—
176C31×#95—22no—
177C31×#95—22no—
178C31×#95—22no—
179C31×#95—41no—
180C31×#95—41no—
181C31×#95—41no—
182C31×#95—41no—
183C31×#95—41no—
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—28no—
221C24×C31—28no—
222C24×C31—28no—
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×C31—21no—
234C24×C31—21no—
235C24×C31—21no—
236C24×C31—21no—
237C24×C31—44no—
238C24×C31—44no—
239C24×C31—44no—
240C24×C31—44no—
241C24×C31—44no—
242C24×C31—44no—
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×C31C2×D412yes—
270C24×C31C2×D412yes—
271C24×C31C2×D412yes—
272C24×C31C2×D412yes—
273C24×C31C2×D412yes—
274C24×C31C2×D412yes—
275C24×C31C2×D412yes—
276C24×C31#4112yes—
277C24×C31#4112yes—
278C24×C31#4112yes—
279C24×C31C2411yescharacteristic
280C2×D4×C31—28no—
281C2×D4×C31—28no—
282C2×D4×C31—28no—
283C2×D4×C31—44no—
284C2×D4×C31—44no—
285C2×D4×C31—44no—
286C2×D4×C31—44no—
287C2×D4×C31—44no—
288C2×D4×C31—44no—
289C2×D4×C31—44no—
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—
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×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×C31C2×D412yes—
374C22×C4×C31C2×D412yes—
375C22×C4×C31C2×D412yes—
376C22×C4×C31C2×D412yes—
377C22×C4×C31C2×D412yes—
378C4⋊C4×C31—44no—
379C4⋊C4×C31—44no—
380C22⋊C4×C31—28no—
381C22⋊C4×C31—28no—
382C22⋊C4×C31—28no—
383C22⋊C4×C31—44no—
384C22⋊C4×C31—44no—
385C22⋊C4×C31—44no—
386C22⋊C4×C31—44no—
387C22⋊C4×C31—44no—
388C22⋊C4×C31—44no—
389C22⋊C4×C31—44no—
390C22⋊C4×C31—44no—
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—
399#16255C3111yesmaximal, characteristic, direct product factor, Sylow
400C23×C31—22no—
401C23×C31—22no—
402C23×C31—22no—
403C23×C31—22no—
404C23×C31—22no—
405C23×C31—22no—
406C23×C31—22no—
407C23×C31—22no—
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—416no—
462C23×C31—416no—
463C23×C31—416no—
464C23×C31—416no—
465C23×C31—416no—
466C23×C31—416no—
467C23×C31—416no—
468C23×C31—416no—
469C23×C31—416no—
470C23×C31—416no—
471C23×C31—416no—
472C23×C31—416no—
473C23×C31—416no—
474C23×C31—416no—
475C23×C31—416no—
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×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#12014yes—
553C23×C31#12114yes—
554C23×C31#12314yes—
555C23×C31C22×D411yescharacteristic
556C23×C31C22×D411yescharacteristic
557C23×C31C22×D411yescharacteristic
558C23×C31C22×D411yescharacteristic
559C23×C31C2×#4111yescharacteristic
560C23×C31C2×#4111yescharacteristic
561C23×C31C2×#4111yescharacteristic
562C23×C31H(5,𝔽2)11yescharacteristic
563C23×C31H(5,𝔽2)11yescharacteristic
564C23×C31H(5,𝔽2)11yescharacteristic
565C23×C31H(5,𝔽2)11yescharacteristic
566C23×C31H(5,𝔽2)11yescharacteristic
567C23×C31H(5,𝔽2)11yescharacteristic
568C23×C31H(5,𝔽2)11yescharacteristic
569C23×C31H(5,𝔽2)11yescharacteristic
570D4×C31—416no—
571D4×C31—416no—
572D4×C31—416no—
573C2×C4×C31—22no—
574C2×C4×C31—22no—
575C2×C4×C31—22no—
576C2×C4×C31—22no—
577C2×C4×C31—22no—
578C2×C4×C31—22no—
579C2×C4×C31—22no—
580C2×C4×C31—22no—
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—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×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—
650C22×#120C2×C3111yescharacteristic
651C2×#397C2×C3111yescharacteristic, complemented
652C2×#394C2×C3111yescharacteristic, complemented
653C2×#394C2×C3111yescharacteristic, complemented
654C2×#379C2×C3111yescharacteristic, complemented
655C2×#379C2×C3111yescharacteristic, complemented
656#1440C2×C3111yescharacteristic, complemented
657#1440C2×C3111yescharacteristic, complemented
658#1439C2×C3111yescharacteristic, complemented
659#1439C2×C3111yescharacteristic, complemented
660#1439C2×C3111yescharacteristic, complemented
661#1438C2×C3111yescharacteristic, complemented
662#1438C2×C3111yescharacteristic, complemented
663#1438C2×C3111yescharacteristic, complemented
664#1438C2×C3111yescharacteristic, complemented
665C22×C31—24no—
666C22×C31—24no—
667C22×C31—24no—
668C22×C31—24no—
669C22×C31—24no—
670C22×C31—24no—
671C22×C31—24no—
672C22×C31—24no—
673C22×C31—24no—
674C22×C31—464no—
675C22×C31—42no—
676C22×C31—42no—
677C22×C31—42no—
678C22×C31—42no—
679C22×C31—42no—
680C22×C31—42no—
681C22×C31—42no—
682C22×C31—42no—
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—81no—
719C22×C31—81no—
720C22×C31—81no—
721C22×C31—81no—
722C22×C31—81no—
723C22×C31—81no—
724C22×C31—81no—
725C22×C31—81no—
726C22×C31C2×#12011yescharacteristic
727C22×C31C2×#12111yescharacteristic
728C22×C31C2×#12311yescharacteristic
729C22×C31#53411yescharacteristic
730C22×C31#53411yescharacteristic
731C22×C31#53411yescharacteristic
732C22×C31#53411yescharacteristic
733C22×C31#53411yescharacteristic
734C22×C31#53411yescharacteristic
735C22×C31#53411yescharacteristic
736C22×C31#53511yescharacteristic
737C22×C31#53511yescharacteristic
738C22×C31#53511yescharacteristic
739C22×C31#53811yescharacteristic
740C22×C31#53811yescharacteristic
741C22×C31#53811yescharacteristic
742C22×C31#53811yescharacteristic
743C22×C31#53811yescharacteristic
744C22×C31#53811yescharacteristic
745C22×C31D4211yescharacteristic
746C22×C31D4211yescharacteristic
747C22×C31#54611yescharacteristic
748C22×C31#54611yescharacteristic
749C22×C31#54611yescharacteristic
750C22×C31#54611yescharacteristic
751C22×C31#54611yescharacteristic
752C22×C31#54611yescharacteristic
753C22×C31#54611yescharacteristic
754C22×C31#54611yescharacteristic
755C22×C31#55111yescharacteristic
756C22×C31#55111yescharacteristic
757C22×C31#56011yescharacteristic
758C22×C31#56011yescharacteristic
759C22×C31#56011yescharacteristic
760C22×C31H(3,𝔽4)11yescharacteristic
761C4×C31—42no—
762C4×C31—42no—
763C4×C31—42no—
764C4×C31—42no—
765C4×C31—42no—
766C4×C31—81no—
767C4×C31—81no—
768C4×C31—81no—
769C4×C31—81no—
770C4×C31—81no—
771C4×C31—81no—
772C26C22×C3111yescharacteristic
773C23×D4C22×C3111yescharacteristic
774C23×D4C22×C3111yescharacteristic
775C23×D4C22×C3111yescharacteristic
776C2×#120—24no—
777C2×#120—24no—
778C2×#120—24no—
779C22×C4⋊C4C22×C3111yescharacteristic, complemented
780C22×C4⋊C4C22×C3111yescharacteristic, complemented
781C22×C22⋊C4C22×C3111yescharacteristic
782C22×C22⋊C4C22×C3111yescharacteristic
783C22×C22⋊C4C22×C3111yescharacteristic
784C22×C22⋊C4C22×C3111yescharacteristic
785C22×C22⋊C4C22×C3111yescharacteristic
786C22×C22⋊C4C22×C3111yescharacteristic
787C22×C22⋊C4C22×C3111yescharacteristic
788C22×C22⋊C4C22×C3111yescharacteristic
789C22×C22⋊C4C22×C3111yescharacteristic
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, complemented
797C22×C22⋊C4C22×C3111yescharacteristic, complemented
798C22×C22⋊C4C22×C3111yescharacteristic, complemented
799C22×C22⋊C4C22×C3111yescharacteristic, complemented
800#397—24no—
801#394—24no—
802#394—24no—
803#379—24no—
804#379—24no—
805C2×#95C22×C3111yescharacteristic, complemented
806C2×#95C22×C3111yescharacteristic, complemented
807C2×#95C22×C3111yescharacteristic, complemented
808C2×#95C22×C3111yescharacteristic, complemented
809C2×#95C22×C3111yescharacteristic, complemented
810C2×#95C22×C3111yescharacteristic, complemented
811C2×#95C22×C3111yescharacteristic, complemented
812C2×#95C22×C3111yescharacteristic, complemented
813C2×#95C22×C3111yescharacteristic, complemented
814C2×#95C22×C3111yescharacteristic, complemented
815C2×C31—44no—
816C2×C31—44no—
817C2×C31—44no—
818C2×C31—82no—
819C2×C31#240511yescharacteristic
820C2×C31#241011yescharacteristic
821C2×C31#241211yescharacteristic
822C2×C31#261311yescharacteristic
823C2×C31#261711yescharacteristic
824C2×C31#262211yescharacteristic
825C2×C31#266811yescharacteristic
826C2×C31#267011yescharacteristic
827C2×C31#267811yescharacteristic
828C2×C31#267811yescharacteristic
829C2×C31#268411yescharacteristic
830C2×C31#268511yescharacteristic
831C2×C31#268511yescharacteristic
832C2×C31#269711yescharacteristic
833C2×C31#281211yescharacteristic
834C25—22no—
835C25—22no—
836C25—22no—
837C25—22no—
838C25—22no—
839C25—22no—
840C25—41no—
841C25—41no—
842C25—41no—
843C25—41no—
844C25—41no—
845C25—41no—
846C25—41no—
847C25—41no—
848C25D4×C3114yes—
849C25C23×C3111yescharacteristic
850C25C23×C3111yescharacteristic
851C25C23×C3111yescharacteristic
852C25C23×C3111yescharacteristic
853C22×D4—22no—
854C22×D4—22no—
855C22×D4—22no—
856C22×D4—22no—
857C22×D4—22no—
858C22×D4—22no—
859C22×D4—22no—
860C22×D4—22no—
861C22×D4—22no—
862C22×D4—22no—
863C22×D4—22no—
864C22×D4—22no—
865C22×D4—41no—
866C22×D4—41no—
867C22×D4—41no—
868C22×D4—41no—
869C22×D4—41no—
870C22×D4—41no—
871C22×D4—41no—
872C22×D4—41no—
873C22×D4D4×C3114yes—
874C23×C4C23×C3111yescharacteristic
875C23×C4C23×C3111yescharacteristic
876C23×C4C23×C3111yescharacteristic
877C23×C4C23×C3111yescharacteristic
878C23×C4C23×C3111yescharacteristic
879C23×C4C23×C3111yescharacteristic
880C23×C4C23×C3111yescharacteristic
881C23×C4C23×C3111yescharacteristic
882C23×C4C23×C3111yescharacteristic
883C23×C4C23×C3111yescharacteristic
884C23×C4C23×C3111yescharacteristic
885#120—232no—
886C2×C4⋊C4—22no—
887C2×C4⋊C4—22no—
888C2×C4⋊C4—22no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—22no—
901C2×C22⋊C4—22no—
902C2×C22⋊C4—22no—
903C2×C22⋊C4—22no—
904C2×C22⋊C4—22no—
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—41no—
924C2×C22⋊C4—41no—
925C2×C22⋊C4—41no—
926C2×C22⋊C4—41no—
927C2×C22⋊C4—41no—
928C2×C22⋊C4—41no—
929C2×C22⋊C4—41no—
930C2×C22⋊C4—41no—
931C2×C22⋊C4—41no—
932C2×C22⋊C4—41no—
933C2×C22⋊C4—41no—
934C2×C22⋊C4—41no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C22⋊C4—41no—
939C2×C22⋊C4—41no—
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⋊C4D4×C3114yes—
948C2×C22⋊C4D4×C3114yescomplemented
949#95—22no—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959C31#1625511yescharacteristic, direct product factor, Sylow
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
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—28no—
997C24—28no—
998C24—28no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
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—
1045C24C2×D4×C3112yes—
1046C24C2×D4×C3112yes—
1047C24C2×D4×C3112yes—
1048C24C2×D4×C3112yes—
1049C24C2×D4×C3112yes—
1050C24C2×D4×C3112yes—
1051C24C2×D4×C3112yes—
1052C24#41×C3112yes—
1053C24#41×C3112yes—
1054C24#41×C3112yes—
1055C24C24×C3111yescharacteristic
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
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×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
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×C4C2×D4×C3112yes—
1150C22×C4C2×D4×C3112yes—
1151C22×C4C2×D4×C3112yes—
1152C22×C4C2×D4×C3112yes—
1153C22×C4C2×D4×C3112yes—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
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—416no—
1237C23—416no—
1238C23—416no—
1239C23—416no—
1240C23—416no—
1241C23—416no—
1242C23—416no—
1243C23—416no—
1244C23—416no—
1245C23—416no—
1246C23—416no—
1247C23—416no—
1248C23—416no—
1249C23—416no—
1250C23—416no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
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—
1327C23C31×#12014yes—
1328C23C31×#12114yes—
1329C23C31×#12314yes—
1330C23C22×D4×C3111yescharacteristic
1331C23C22×D4×C3111yescharacteristic
1332C23C22×D4×C3111yescharacteristic
1333C23C22×D4×C3111yescharacteristic
1334C23C2×#41×C3111yescharacteristic
1335C23C2×#41×C3111yescharacteristic
1336C23C2×#41×C3111yescharacteristic
1337C23C31×H(5,𝔽2)11yescharacteristic
1338C23C31×H(5,𝔽2)11yescharacteristic
1339C23C31×H(5,𝔽2)11yescharacteristic
1340C23C31×H(5,𝔽2)11yescharacteristic
1341C23C31×H(5,𝔽2)11yescharacteristic
1342C23C31×H(5,𝔽2)11yescharacteristic
1343C23C31×H(5,𝔽2)11yescharacteristic
1344C23C31×H(5,𝔽2)11yescharacteristic
1345D4—416no—
1346D4—416no—
1347D4—416no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
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—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—464no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
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—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22C2×C31×#12011yescharacteristic
1487C22C2×C31×#12111yescharacteristic
1488C22C2×C31×#12311yescharacteristic
1489C22C31×#53411yescharacteristic
1490C22C31×#53411yescharacteristic
1491C22C31×#53411yescharacteristic
1492C22C31×#53411yescharacteristic
1493C22C31×#53411yescharacteristic
1494C22C31×#53411yescharacteristic
1495C22C31×#53411yescharacteristic
1496C22C31×#53511yescharacteristic
1497C22C31×#53511yescharacteristic
1498C22C31×#53511yescharacteristic
1499C22C31×#53811yescharacteristic
1500C22C31×#53811yescharacteristic
1501C22C31×#53811yescharacteristic
1502C22C31×#53811yescharacteristic
1503C22C31×#53811yescharacteristic
1504C22C31×#53811yescharacteristic
1505C22D42×C3111yescharacteristic
1506C22D42×C3111yescharacteristic
1507C22C31×#54611yescharacteristic
1508C22C31×#54611yescharacteristic
1509C22C31×#54611yescharacteristic
1510C22C31×#54611yescharacteristic
1511C22C31×#54611yescharacteristic
1512C22C31×#54611yescharacteristic
1513C22C31×#54611yescharacteristic
1514C22C31×#54611yescharacteristic
1515C22C31×#55111yescharacteristic
1516C22C31×#55111yescharacteristic
1517C22C31×#56011yescharacteristic
1518C22C31×#56011yescharacteristic
1519C22C31×#56011yescharacteristic
1520C22C31×H(3,𝔽4)11yescharacteristic
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C2—44no—
1533C2—44no—
1534C2—44no—
1535C2—82no—
1536C2C31×#240511yescharacteristic
1537C2C31×#241011yescharacteristic
1538C2C31×#241211yescharacteristic
1539C2C31×#261311yescharacteristic
1540C2C31×#261711yescharacteristic
1541C2C31×#262211yescharacteristic
1542C2C31×#266811yescharacteristic
1543C2C31×#267011yescharacteristic
1544C2C31×#267811yescharacteristic
1545C2C31×#267811yescharacteristic
1546C2C31×#268411yescharacteristic
1547C2C31×#268511yescharacteristic
1548C2C31×#268511yescharacteristic
1549C2C31×#269711yescharacteristic
1550C2C31×#281211yescharacteristic
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×#397C2semidirect
3. C2×C31×#394C2semidirect
4. C2×C31×#394C2semidirect
5. C2×C31×#379C2semidirect
6. C2×C31×#379C2semidirect
7. C31×#1440C2semidirect
8. C31×#1440C2semidirect
9. C31×#1439C2semidirect
10. C31×#1439C2semidirect
11. C31×#1439C2semidirect
12. C31×#1438C2semidirect
13. C31×#1438C2semidirect
14. C31×#1438C2semidirect
15. C31×#1438C2semidirect
23. C22×C4⋊C4×C31C22semidirect
24. C22×C4⋊C4×C31C22semidirect
40. C22×C22⋊C4×C31C22semidirect
41. C22×C22⋊C4×C31C22semidirect
42. C22×C22⋊C4×C31C22semidirect
43. C22×C22⋊C4×C31C22semidirect
49. C2×C31×#95C22semidirect
50. C2×C31×#95C22semidirect
51. C2×C31×#95C22semidirect
52. C2×C31×#95C22semidirect
53. C2×C31×#95C22semidirect
54. C2×C31×#95C22semidirect
55. C2×C31×#95C22semidirect
56. C2×C31×#95C22semidirect
57. C2×C31×#95C22semidirect
58. C2×C31×#95C22semidirect
173. C2×C22⋊C4×C31D4semidirect
399. #16255C31direct (N × H)
651. C2×#397C2×C31semidirect
652. C2×#394C2×C31semidirect
653. C2×#394C2×C31semidirect
654. C2×#379C2×C31semidirect
655. C2×#379C2×C31semidirect
656. #1440C2×C31semidirect
657. #1440C2×C31semidirect
658. #1439C2×C31semidirect
659. #1439C2×C31semidirect
660. #1439C2×C31semidirect
661. #1438C2×C31semidirect
662. #1438C2×C31semidirect
663. #1438C2×C31semidirect
664. #1438C2×C31semidirect
779. C22×C4⋊C4C22×C31semidirect
780. C22×C4⋊C4C22×C31semidirect
796. C22×C22⋊C4C22×C31semidirect
797. C22×C22⋊C4C22×C31semidirect
798. C22×C22⋊C4C22×C31semidirect
799. C22×C22⋊C4C22×C31semidirect
805. C2×#95C22×C31semidirect
806. C2×#95C22×C31semidirect
807. C2×#95C22×C31semidirect
808. C2×#95C22×C31semidirect
809. C2×#95C22×C31semidirect
810. C2×#95C22×C31semidirect
811. C2×#95C22×C31semidirect
812. C2×#95C22×C31semidirect
813. C2×#95C22×C31semidirect
814. C2×#95C22×C31semidirect
948. C2×C22⋊C4D4×C31semidirect
959. C31#16255direct (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×#3972
C2×C31×#3942
C2×C31×#3792
C31×#14402
C31×#14392
C31×#14382
#1625531