Finite Group Databasebeta

← C31×#15273 #21472032

Subgroups — C31×#15273 #21472032

Order 7936.

2946 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#121C211yesmaximal, characteristic, complemented
2C2×C31×#392C211yesmaximal, characteristic, complemented
3C2×C31×#392C211yesmaximal, characteristic, complemented
4C2×C31×#392C211yesmaximal, characteristic, complemented
5C2×C31×#386C211yesmaximal, characteristic, complemented
6C2×C31×#386C211yesmaximal, characteristic, complemented
7C2×C31×#386C211yesmaximal, characteristic, complemented
8C2×C31×#386C211yesmaximal, characteristic, complemented
9C31×#1442C211yesmaximal, characteristic, complemented
10C31×#1440C211yesmaximal, characteristic, complemented
11C31×#1440C211yesmaximal, characteristic, complemented
12C31×#1439C211yesmaximal, characteristic, complemented
13C31×#1438C211yesmaximal, characteristic, complemented
14C31×#1438C211yesmaximal, characteristic, complemented
15C31×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C31C2211yescharacteristic
17C23×D4×C31C2211yescharacteristic
18C23×D4×C31C2211yescharacteristic
19C23×D4×C31C2211yescharacteristic
20C23×D4×C31C2211yescharacteristic
21C23×D4×C31C2211yescharacteristic
22C24×C4×C31C2211yescharacteristic
23C24×C4×C31C2211yescharacteristic
24C2×C31×#121—24no—
25C2×C31×#121—24no—
26C2×C31×#121—24no—
27C22×C4⋊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
42C31×#392—24no—
43C31×#392—24no—
44C31×#392—24no—
45C31×#386—24no—
46C31×#386—24no—
47C31×#386—24no—
48C31×#386—24no—
49C2×C31×#95C2211yescharacteristic
50C2×C31×#95C2211yescharacteristic
51C2×C31×#95C2211yescharacteristic
52C2×C31×#95C2211yescharacteristic
53C2×C31×#95C2211yescharacteristic
54C2×C31×#95C2211yescharacteristic
55C2×C31×#95C2211yescharacteristic
56C2×C31×#95C2211yescharacteristic
57C2×C31×#95C2211yescharacteristic
58C2×C31×#95C2211yescharacteristic
59C2×C31×#95C2211yescharacteristic
60C2×C31×#95C2211yescharacteristic
61C25×C31C2311yescharacteristic
62C25×C31C2311yescharacteristic
63C25×C31C2311yescharacteristic
64C25×C31C2311yescharacteristic
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—22no—
77C22×D4×C31—22no—
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—22no—
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×C31—41no—
103C22×D4×C31—41no—
104C22×D4×C31—41no—
105C22×D4×C31D414yescomplemented
106C22×D4×C31D414yescomplemented
107C23×C4×C31—22no—
108C23×C4×C31—22no—
109C23×C4×C31—22no—
110C23×C4×C31—22no—
111C23×C4×C31—22no—
112C23×C4×C31—22no—
113C23×C4×C31—22no—
114C23×C4×C31—22no—
115C23×C4×C31—41no—
116C23×C4×C31—41no—
117C23×C4×C31—41no—
118C23×C4×C31—41no—
119C23×C4×C31—41no—
120C23×C4×C31—41no—
121C23×C4×C31C2311yescharacteristic
122C23×C4×C31C2311yescharacteristic
123C23×C4×C31C2311yescharacteristic
124C23×C4×C31C2311yescharacteristic
125C23×C4×C31C2311yescharacteristic
126C23×C4×C31C2311yescharacteristic
127C23×C4×C31C2311yescharacteristic
128C23×C4×C31C2311yescharacteristic
129C23×C4×C31C2311yescharacteristic
130C23×C4×C31C2311yescharacteristic
131C23×C4×C31C2311yescharacteristic
132C31×#121—232no—
133C2×C4⋊C4×C31—22no—
134C2×C4⋊C4×C31—22no—
135C2×C4⋊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—22no—
158C2×C22⋊C4×C31—22no—
159C2×C22⋊C4×C31—22no—
160C2×C22⋊C4×C31—22no—
161C2×C22⋊C4×C31—22no—
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×C31—41no—
176C2×C22⋊C4×C31D414yescomplemented
177C2×C22⋊C4×C31D414yescomplemented
178C31×#95—22no—
179C31×#95—22no—
180C31×#95—22no—
181C31×#95—22no—
182C31×#95—22no—
183C31×#95—22no—
184C31×#95—22no—
185C31×#95—22no—
186C31×#95—22no—
187C31×#95—41no—
188C31×#95—41no—
189C31×#95D414yescomplemented
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×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×C31C2×D412yes—
243C24×C31C2×D412yes—
244C24×C31C2×D412yes—
245C24×C31C2×D412yes—
246C24×C31C2×D412yes—
247C24×C31C2×D412yes—
248C24×C31#4112yes—
249C24×C31#4112yes—
250C24×C31C2411yescharacteristic
251C2×D4×C31—28no—
252C2×D4×C31—28no—
253C2×D4×C31—28no—
254C2×D4×C31—28no—
255C2×D4×C31—28no—
256C2×D4×C31—28no—
257C2×D4×C31—28no—
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—
280C2×D4×C31—44no—
281C2×D4×C31—44no—
282C2×D4×C31—44no—
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—
293C22×C4×C31—21no—
294C22×C4×C31—21no—
295C22×C4×C31—21no—
296C22×C4×C31—21no—
297C22×C4×C31—28no—
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×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—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×C31C2×D412yes—
374C22×C4×C31C2×D412yes—
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×C31#4112yes—
383C22×C4×C31#4112yes—
384C4⋊C4×C31—28no—
385C22⋊C4×C31—28no—
386C22⋊C4×C31—28no—
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#15273C3111yesmaximal, 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—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×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#12014yes—
539C23×C31#12114yes—
540C23×C31C22×D411yescharacteristic
541C23×C31C22×D411yescharacteristic
542C23×C31C22×D411yescharacteristic
543C23×C31C22×D411yescharacteristic
544C23×C31C22×D411yescharacteristic
545C23×C31C2×#4111yescharacteristic
546C23×C31C2×#4111yescharacteristic
547C23×C31C2×#4111yescharacteristic
548C23×C31C2×#4111yescharacteristic
549C23×C31H(5,𝔽2)11yescharacteristic
550C23×C31H(5,𝔽2)11yescharacteristic
551C23×C31H(5,𝔽2)11yescharacteristic
552C23×C31H(5,𝔽2)11yescharacteristic
553C23×C31H(5,𝔽2)11yescharacteristic
554C23×C31H(5,𝔽2)11yescharacteristic
555D4×C31—416no—
556D4×C31—416no—
557D4×C31—416no—
558D4×C31—416no—
559D4×C31—416no—
560D4×C31—416no—
561C2×C4×C31—22no—
562C2×C4×C31—22no—
563C2×C4×C31—22no—
564C2×C4×C31—22no—
565C2×C4×C31—22no—
566C2×C4×C31—22no—
567C2×C4×C31—22no—
568C2×C4×C31—22no—
569C2×C4×C31—22no—
570C2×C4×C31—22no—
571C2×C4×C31—22no—
572C2×C4×C31—22no—
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—22no—
589C2×C4×C31—22no—
590C2×C4×C31—22no—
591C2×C4×C31—416no—
592C2×C4×C31—416no—
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#12114yes—
640C22×#121C2×C3111yescharacteristic, complemented
641C2×#392C2×C3111yescharacteristic, complemented
642C2×#392C2×C3111yescharacteristic, complemented
643C2×#392C2×C3111yescharacteristic, complemented
644C2×#386C2×C3111yescharacteristic, complemented
645C2×#386C2×C3111yescharacteristic, complemented
646C2×#386C2×C3111yescharacteristic, complemented
647C2×#386C2×C3111yescharacteristic, complemented
648#1442C2×C3111yescharacteristic, complemented
649#1440C2×C3111yescharacteristic, complemented
650#1440C2×C3111yescharacteristic, complemented
651#1439C2×C3111yescharacteristic, complemented
652#1438C2×C3111yescharacteristic, complemented
653#1438C2×C3111yescharacteristic, complemented
654C22⋊#95C2×C3111yescharacteristic, complemented
655C22×C31—24no—
656C22×C31—24no—
657C22×C31—24no—
658C22×C31—24no—
659C22×C31—24no—
660C22×C31—24no—
661C22×C31—42no—
662C22×C31—42no—
663C22×C31—42no—
664C22×C31—42no—
665C22×C31—42no—
666C22×C31—42no—
667C22×C31—42no—
668C22×C31—42no—
669C22×C31—42no—
670C22×C31—42no—
671C22×C31—42no—
672C22×C31—42no—
673C22×C31—42no—
674C22×C31—42no—
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—81no—
700C22×C31—81no—
701C22×C31—81no—
702C22×C31—81no—
703C22×C31—81no—
704C22×C31—81no—
705C22×C31—81no—
706C22×C31—81no—
707C22×C31—81no—
708C22×C31—81no—
709C22×C31—81no—
710C22×C31—81no—
711C22×C31—81no—
712C22×C31—81no—
713C22×C31—81no—
714C22×C31—81no—
715C22×C31C2×#12011yescharacteristic
716C22×C31C2×#12111yescharacteristic
717C22×C31C2×#12111yescharacteristic
718C22×C31#52511yescharacteristic
719C22×C31#52511yescharacteristic
720C22×C31#53211yescharacteristic
721C22×C31#53411yescharacteristic
722C22×C31#53411yescharacteristic
723C22×C31#53411yescharacteristic
724C22×C31#53511yescharacteristic
725C22×C31#53511yescharacteristic
726C22×C31#53811yescharacteristic
727C22×C31#53811yescharacteristic
728C22×C31#54011yescharacteristic
729C22×C31#54011yescharacteristic
730C22×C31D4211yescharacteristic
731C22×C31D4211yescharacteristic
732C22×C31D4211yescharacteristic
733C22×C31D4211yescharacteristic
734C22×C31D4211yescharacteristic
735C22×C31#54611yescharacteristic
736C22×C31#54611yescharacteristic
737C22×C31#54611yescharacteristic
738C22×C31#54611yescharacteristic
739C22×C31#54611yescharacteristic
740C22×C31#54611yescharacteristic
741C22×C31#54611yescharacteristic
742C22×C31#54611yescharacteristic
743C22×C31#54611yescharacteristic
744C22×C31#55011yescharacteristic
745C22×C31#55311yescharacteristic
746C22×C31#55311yescharacteristic
747C22×C31#55311yescharacteristic
748C22×C31#56011yescharacteristic
749C22×C31#56011yescharacteristic
750C4×C31—24no—
751C4×C31—42no—
752C4×C31—42no—
753C4×C31—42no—
754C4×C31—42no—
755C4×C31—42no—
756C4×C31—42no—
757C4×C31—42no—
758C4×C31—42no—
759C4×C31—81no—
760C4×C31—81no—
761C23×D4C22×C3111yescharacteristic
762C23×D4C22×C3111yescharacteristic
763C23×D4C22×C3111yescharacteristic
764C23×D4C22×C3111yescharacteristic
765C23×D4C22×C3111yescharacteristic
766C23×D4C22×C3111yescharacteristic
767C24×C4C22×C3111yescharacteristic
768C24×C4C22×C3111yescharacteristic
769C2×#121—24no—
770C2×#121—24no—
771C2×#121—24no—
772C22×C4⋊C4C22×C3111yescharacteristic
773C22×C22⋊C4C22×C3111yescharacteristic
774C22×C22⋊C4C22×C3111yescharacteristic
775C22×C22⋊C4C22×C3111yescharacteristic
776C22×C22⋊C4C22×C3111yescharacteristic
777C22×C22⋊C4C22×C3111yescharacteristic
778C22×C22⋊C4C22×C3111yescharacteristic
779C22×C22⋊C4C22×C3111yescharacteristic
780C22×C22⋊C4C22×C3111yescharacteristic
781C22×C22⋊C4C22×C3111yescharacteristic
782C22×C22⋊C4C22×C3111yescharacteristic
783C22×C22⋊C4C22×C3111yescharacteristic
784C22×C22⋊C4C22×C3111yescharacteristic
785C22×C22⋊C4C22×C3111yescharacteristic
786C22×C22⋊C4C22×C3111yescharacteristic
787#392—24no—
788#392—24no—
789#392—24no—
790#386—24no—
791#386—24no—
792#386—24no—
793#386—24no—
794C2×#95C22×C3111yescharacteristic
795C2×#95C22×C3111yescharacteristic
796C2×#95C22×C3111yescharacteristic
797C2×#95C22×C3111yescharacteristic
798C2×#95C22×C3111yescharacteristic
799C2×#95C22×C3111yescharacteristic
800C2×#95C22×C3111yescharacteristic
801C2×#95C22×C3111yescharacteristic
802C2×#95C22×C3111yescharacteristic
803C2×#95C22×C3111yescharacteristic
804C2×#95C22×C3111yescharacteristic
805C2×#95C22×C3111yescharacteristic
806C2×C31—44no—
807C2×C31—44no—
808C2×C31—82no—
809C2×C31—82no—
810C2×C31#240411yescharacteristic
811C2×C31#241011yescharacteristic
812C2×C31#241011yescharacteristic
813C2×C31#242411yescharacteristic
814C2×C31#242811yescharacteristic
815C2×C31#245611yescharacteristic
816C2×C31#246411yescharacteristic
817C2×C31#253511yescharacteristic
818C2×C31#254311yescharacteristic
819C2×C31#266811yescharacteristic
820C2×C31#266911yescharacteristic
821C2×C31#267311yescharacteristic
822C2×C31#268811yescharacteristic
823C2×C31#268811yescharacteristic
824C2×C31#270311yescharacteristic
825C25C23×C3111yescharacteristic
826C25C23×C3111yescharacteristic
827C25C23×C3111yescharacteristic
828C25C23×C3111yescharacteristic
829C22×D4—22no—
830C22×D4—22no—
831C22×D4—22no—
832C22×D4—22no—
833C22×D4—22no—
834C22×D4—22no—
835C22×D4—22no—
836C22×D4—22no—
837C22×D4—22no—
838C22×D4—22no—
839C22×D4—22no—
840C22×D4—22no—
841C22×D4—22no—
842C22×D4—22no—
843C22×D4—22no—
844C22×D4—22no—
845C22×D4—22no—
846C22×D4—22no—
847C22×D4—22no—
848C22×D4—22no—
849C22×D4—22no—
850C22×D4—22no—
851C22×D4—22no—
852C22×D4—22no—
853C22×D4—22no—
854C22×D4—22no—
855C22×D4—41no—
856C22×D4—41no—
857C22×D4—41no—
858C22×D4—41no—
859C22×D4—41no—
860C22×D4—41no—
861C22×D4—41no—
862C22×D4—41no—
863C22×D4—41no—
864C22×D4—41no—
865C22×D4—41no—
866C22×D4—41no—
867C22×D4—41no—
868C22×D4—41no—
869C22×D4D4×C3114yescomplemented
870C22×D4D4×C3114yescomplemented
871C23×C4—22no—
872C23×C4—22no—
873C23×C4—22no—
874C23×C4—22no—
875C23×C4—22no—
876C23×C4—22no—
877C23×C4—22no—
878C23×C4—22no—
879C23×C4—41no—
880C23×C4—41no—
881C23×C4—41no—
882C23×C4—41no—
883C23×C4—41no—
884C23×C4—41no—
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
895C23×C4C23×C3111yescharacteristic
896#121—232no—
897C2×C4⋊C4—22no—
898C2×C4⋊C4—22no—
899C2×C4⋊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—22no—
924C2×C22⋊C4—22no—
925C2×C22⋊C4—22no—
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⋊C4D4×C3114yescomplemented
941C2×C22⋊C4D4×C3114yescomplemented
942#95—22no—
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—41no—
952#95—41no—
953#95D4×C3114yescomplemented
954C31#1527311yescharacteristic, direct product factor, Sylow
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—
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—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24C2×D4×C3112yes—
1008C24C2×D4×C3112yes—
1009C24C2×D4×C3112yes—
1010C24C2×D4×C3112yes—
1011C24C2×D4×C3112yes—
1012C24C2×D4×C3112yes—
1013C24#41×C3112yes—
1014C24#41×C3112yes—
1015C24C24×C3111yescharacteristic
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—28no—
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×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—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4C2×D4×C3112yes—
1139C22×C4C2×D4×C3112yes—
1140C22×C4C2×D4×C3112yes—
1141C22×C4C2×D4×C3112yes—
1142C22×C4C2×D4×C3112yes—
1143C22×C4C2×D4×C3112yes—
1144C22×C4C2×D4×C3112yes—
1145C22×C4C2×D4×C3112yes—
1146C22×C4C2×D4×C3112yes—
1147C22×C4#41×C3112yes—
1148C22×C4#41×C3112yes—
1149C4⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—44no—
1153C22⋊C4—44no—
1154C22⋊C4—44no—
1155C22⋊C4—44no—
1156C22⋊C4—44no—
1157C22⋊C4—44no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
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—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—
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—
1302C23C31×#12014yes—
1303C23C31×#12114yes—
1304C23C22×D4×C3111yescharacteristic
1305C23C22×D4×C3111yescharacteristic
1306C23C22×D4×C3111yescharacteristic
1307C23C22×D4×C3111yescharacteristic
1308C23C22×D4×C3111yescharacteristic
1309C23C2×#41×C3111yescharacteristic
1310C23C2×#41×C3111yescharacteristic
1311C23C2×#41×C3111yescharacteristic
1312C23C2×#41×C3111yescharacteristic
1313C23C31×H(5,𝔽2)11yescharacteristic
1314C23C31×H(5,𝔽2)11yescharacteristic
1315C23C31×H(5,𝔽2)11yescharacteristic
1316C23C31×H(5,𝔽2)11yescharacteristic
1317C23C31×H(5,𝔽2)11yescharacteristic
1318C23C31×H(5,𝔽2)11yescharacteristic
1319D4—416no—
1320D4—416no—
1321D4—416no—
1322D4—416no—
1323D4—416no—
1324D4—416no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—416no—
1356C2×C4—416no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
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×C4C31×#12114yes—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—24no—
1409C22—24no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
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—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22C2×C31×#12011yescharacteristic
1465C22C2×C31×#12111yescharacteristic
1466C22C2×C31×#12111yescharacteristic
1467C22C31×#52511yescharacteristic
1468C22C31×#52511yescharacteristic
1469C22C31×#53211yescharacteristic
1470C22C31×#53411yescharacteristic
1471C22C31×#53411yescharacteristic
1472C22C31×#53411yescharacteristic
1473C22C31×#53511yescharacteristic
1474C22C31×#53511yescharacteristic
1475C22C31×#53811yescharacteristic
1476C22C31×#53811yescharacteristic
1477C22C31×#54011yescharacteristic
1478C22C31×#54011yescharacteristic
1479C22D42×C3111yescharacteristic
1480C22D42×C3111yescharacteristic
1481C22D42×C3111yescharacteristic
1482C22D42×C3111yescharacteristic
1483C22D42×C3111yescharacteristic
1484C22C31×#54611yescharacteristic
1485C22C31×#54611yescharacteristic
1486C22C31×#54611yescharacteristic
1487C22C31×#54611yescharacteristic
1488C22C31×#54611yescharacteristic
1489C22C31×#54611yescharacteristic
1490C22C31×#54611yescharacteristic
1491C22C31×#54611yescharacteristic
1492C22C31×#54611yescharacteristic
1493C22C31×#55011yescharacteristic
1494C22C31×#55311yescharacteristic
1495C22C31×#55311yescharacteristic
1496C22C31×#55311yescharacteristic
1497C22C31×#56011yescharacteristic
1498C22C31×#56011yescharacteristic
1499C4—24no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—81no—
1509C4—81no—
1510C2—44no—
1511C2—44no—
1512C2—82no—
1513C2—82no—
1514C2C31×#240411yescharacteristic
1515C2C31×#241011yescharacteristic
1516C2C31×#241011yescharacteristic
1517C2C31×#242411yescharacteristic
1518C2C31×#242811yescharacteristic
1519C2C31×#245611yescharacteristic
1520C2C31×#246411yescharacteristic
1521C2C31×#253511yescharacteristic
1522C2C31×#254311yescharacteristic
1523C2C31×#266811yescharacteristic
1524C2C31×#266911yescharacteristic
1525C2C31×#267311yescharacteristic
1526C2C31×#268811yescharacteristic
1527C2C31×#268811yescharacteristic
1528C2C31×#270311yescharacteristic
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. C22×C31×#121C2semidirect
2. C2×C31×#392C2semidirect
3. C2×C31×#392C2semidirect
4. C2×C31×#392C2semidirect
5. C2×C31×#386C2semidirect
6. C2×C31×#386C2semidirect
7. C2×C31×#386C2semidirect
8. C2×C31×#386C2semidirect
9. C31×#1442C2semidirect
10. C31×#1440C2semidirect
11. C31×#1440C2semidirect
12. C31×#1439C2semidirect
13. C31×#1438C2semidirect
14. C31×#1438C2semidirect
15. C31×C22⋊#95C2semidirect
105. C22×D4×C31D4semidirect
106. C22×D4×C31D4semidirect
176. C2×C22⋊C4×C31D4semidirect
177. C2×C22⋊C4×C31D4semidirect
189. C31×#95D4semidirect
399. #15273C31direct (N × H)
640. C22×#121C2×C31semidirect
641. C2×#392C2×C31semidirect
642. C2×#392C2×C31semidirect
643. C2×#392C2×C31semidirect
644. C2×#386C2×C31semidirect
645. C2×#386C2×C31semidirect
646. C2×#386C2×C31semidirect
647. C2×#386C2×C31semidirect
648. #1442C2×C31semidirect
649. #1440C2×C31semidirect
650. #1440C2×C31semidirect
651. #1439C2×C31semidirect
652. #1438C2×C31semidirect
653. #1438C2×C31semidirect
654. C22⋊#95C2×C31semidirect
869. C22×D4D4×C31semidirect
870. C22×D4D4×C31semidirect
940. C2×C22⋊C4D4×C31semidirect
941. C2×C22⋊C4D4×C31semidirect
953. #95D4×C31semidirect
954. C31#15273direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1212
C2×C31×#3922
C2×C31×#3862
C31×#14422
C31×#14402
C31×#14392
C31×#14382
C31×C22⋊#952
#1527331