Finite Group Databasebeta

← C13×#15263 #15701602

Subgroups — C13×#15263 #15701602

Order 3328.

3142 conjugacy classes of subgroups.

The subgroup lattice has 1548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#121C211yesmaximal, characteristic, complemented
2C22×C13×#121C211yesmaximal, characteristic, complemented
3C2×C13×#394C211yesmaximal, characteristic, complemented
4C2×C13×#392C211yesmaximal, characteristic, complemented
5C2×C13×#392C211yesmaximal, characteristic, complemented
6C2×C13×#386C211yesmaximal, characteristic, complemented
7C2×C13×#386C211yesmaximal, characteristic, complemented
8C2×C13×#385C211yesmaximal, characteristic, complemented
9C13×#1441C211yesmaximal, characteristic, complemented
10C13×#1439C211yesmaximal, characteristic, complemented
11C13×#1439C211yesmaximal, characteristic, complemented
12C13×#1438C211yesmaximal, characteristic, complemented
13C13×#1438C211yesmaximal, characteristic, complemented
14C13×#1438C211yesmaximal, characteristic, complemented
15C13×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C13C2211yescharacteristic
17C23×D4×C13C2211yescharacteristic
18C23×D4×C13C2211yescharacteristic
19C23×D4×C13C2211yescharacteristic
20C23×D4×C13C2211yescharacteristic
21C23×D4×C13C2211yescharacteristic
22C24×C4×C13C2211yescharacteristic
23C24×C4×C13C2211yescharacteristic
24C2×C13×#121—24no—
25C2×C13×#121—24no—
26C2×C13×#121—24no—
27C2×C13×#121—24no—
28C2×C13×#121—24no—
29C2×C13×#121—24no—
30C22×C13×C4⋊C4C2211yescharacteristic
31C22×C13×C4⋊C4C2211yescharacteristic
32C22×C13×C4⋊C4C2211yescharacteristic
33C22×C13×C22⋊C4C2211yescharacteristic
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C22×C13×C22⋊C4C2211yescharacteristic
38C22×C13×C22⋊C4C2211yescharacteristic
39C22×C13×C22⋊C4C2211yescharacteristic
40C22×C13×C22⋊C4C2211yescharacteristic
41C22×C13×C22⋊C4C2211yescharacteristic
42C22×C13×C22⋊C4C2211yescharacteristic
43C22×C13×C22⋊C4C2211yescharacteristic
44C22×C13×C22⋊C4C2211yescharacteristic
45C22×C13×C22⋊C4C2211yescharacteristic
46C22×C13×C22⋊C4C2211yescharacteristic
47C13×#394—24no—
48C13×#392—24no—
49C13×#392—24no—
50C13×#386—24no—
51C13×#386—24no—
52C13×#385—24no—
53C2×C13×#95C2211yescharacteristic
54C2×C13×#95C2211yescharacteristic
55C2×C13×#95C2211yescharacteristic
56C2×C13×#95C2211yescharacteristic
57C2×C13×#95C2211yescharacteristic
58C2×C13×#95C2211yescharacteristic
59C2×C13×#95C2211yescharacteristic
60C2×C13×#95C2211yescharacteristic
61C2×C13×#95C2211yescharacteristic
62C2×C13×#95C2211yescharacteristic
63C25×C13C2311yescharacteristic
64C25×C13C2311yescharacteristic
65C25×C13C2311yescharacteristic
66C25×C13C2311yescharacteristic
67C22×D4×C13—22no—
68C22×D4×C13—22no—
69C22×D4×C13—22no—
70C22×D4×C13—22no—
71C22×D4×C13—22no—
72C22×D4×C13—22no—
73C22×D4×C13—22no—
74C22×D4×C13—22no—
75C22×D4×C13—22no—
76C22×D4×C13—22no—
77C22×D4×C13—22no—
78C22×D4×C13—22no—
79C22×D4×C13—22no—
80C22×D4×C13—22no—
81C22×D4×C13—22no—
82C22×D4×C13—22no—
83C22×D4×C13—22no—
84C22×D4×C13—22no—
85C22×D4×C13—22no—
86C22×D4×C13—22no—
87C22×D4×C13—22no—
88C22×D4×C13—22no—
89C22×D4×C13—22no—
90C22×D4×C13—22no—
91C22×D4×C13—22no—
92C22×D4×C13—22no—
93C22×D4×C13—22no—
94C22×D4×C13—22no—
95C22×D4×C13—41no—
96C22×D4×C13—41no—
97C22×D4×C13—41no—
98C22×D4×C13—41no—
99C22×D4×C13—41no—
100C22×D4×C13—41no—
101C22×D4×C13—41no—
102C22×D4×C13—41no—
103C22×D4×C13—41no—
104C22×D4×C13—41no—
105C22×D4×C13—41no—
106C22×D4×C13—41no—
107C22×D4×C13D414yescomplemented
108C22×D4×C13D414yescomplemented
109C23×C4×C13—22no—
110C23×C4×C13—22no—
111C23×C4×C13—22no—
112C23×C4×C13—22no—
113C23×C4×C13—22no—
114C23×C4×C13—22no—
115C23×C4×C13—22no—
116C23×C4×C13—22no—
117C23×C4×C13—22no—
118C23×C4×C13—22no—
119C23×C4×C13—41no—
120C23×C4×C13—41no—
121C23×C4×C13—41no—
122C23×C4×C13—41no—
123C23×C4×C13C2311yescharacteristic
124C23×C4×C13C2311yescharacteristic
125C23×C4×C13C2311yescharacteristic
126C23×C4×C13C2311yescharacteristic
127C23×C4×C13C2311yescharacteristic
128C23×C4×C13C2311yescharacteristic
129C23×C4×C13C2311yescharacteristic
130C23×C4×C13C2311yescharacteristic
131C23×C4×C13C2311yescharacteristic
132C23×C4×C13C2311yescharacteristic
133C23×C4×C13C2311yescharacteristic
134C13×#121—232no—
135C13×#121—232no—
136C2×C13×C4⋊C4—22no—
137C2×C13×C4⋊C4—22no—
138C2×C13×C4⋊C4—22no—
139C2×C13×C4⋊C4—22no—
140C2×C13×C4⋊C4—22no—
141C2×C13×C4⋊C4—22no—
142C2×C13×C4⋊C4—22no—
143C2×C13×C4⋊C4—41no—
144C2×C13×C4⋊C4D414yescomplemented
145C2×C13×C22⋊C4—22no—
146C2×C13×C22⋊C4—22no—
147C2×C13×C22⋊C4—22no—
148C2×C13×C22⋊C4—22no—
149C2×C13×C22⋊C4—22no—
150C2×C13×C22⋊C4—22no—
151C2×C13×C22⋊C4—22no—
152C2×C13×C22⋊C4—22no—
153C2×C13×C22⋊C4—22no—
154C2×C13×C22⋊C4—22no—
155C2×C13×C22⋊C4—22no—
156C2×C13×C22⋊C4—22no—
157C2×C13×C22⋊C4—22no—
158C2×C13×C22⋊C4—22no—
159C2×C13×C22⋊C4—22no—
160C2×C13×C22⋊C4—22no—
161C2×C13×C22⋊C4—22no—
162C2×C13×C22⋊C4—22no—
163C2×C13×C22⋊C4—22no—
164C2×C13×C22⋊C4—22no—
165C2×C13×C22⋊C4—22no—
166C2×C13×C22⋊C4—22no—
167C2×C13×C22⋊C4—22no—
168C2×C13×C22⋊C4—22no—
169C2×C13×C22⋊C4—22no—
170C2×C13×C22⋊C4—22no—
171C2×C13×C22⋊C4—22no—
172C2×C13×C22⋊C4—41no—
173C2×C13×C22⋊C4—41no—
174C2×C13×C22⋊C4—41no—
175C2×C13×C22⋊C4—41no—
176C2×C13×C22⋊C4—41no—
177C2×C13×C22⋊C4—41no—
178C2×C13×C22⋊C4—41no—
179C2×C13×C22⋊C4—41no—
180C2×C13×C22⋊C4—41no—
181C2×C13×C22⋊C4—41no—
182C2×C13×C22⋊C4—41no—
183C2×C13×C22⋊C4—41no—
184C2×C13×C22⋊C4D414yescomplemented
185C2×C13×C22⋊C4D414yescomplemented
186C2×C13×C22⋊C4D414yescomplemented
187C13×#95—22no—
188C13×#95—22no—
189C13×#95—22no—
190C13×#95—22no—
191C13×#95—22no—
192C13×#95—22no—
193C13×#95—22no—
194C13×#95—22no—
195C13×#95—22no—
196C13×#95—41no—
197#15263C1311yesmaximal, characteristic, direct product factor, Sylow
198C24×C13—21no—
199C24×C13—21no—
200C24×C13—21no—
201C24×C13—21no—
202C24×C13—21no—
203C24×C13—21no—
204C24×C13—21no—
205C24×C13—21no—
206C24×C13—21no—
207C24×C13—21no—
208C24×C13—21no—
209C24×C13—21no—
210C24×C13—21no—
211C24×C13—21no—
212C24×C13—21no—
213C24×C13—21no—
214C24×C13—21no—
215C24×C13—21no—
216C24×C13—21no—
217C24×C13—21no—
218C24×C13—21no—
219C24×C13—21no—
220C24×C13—21no—
221C24×C13—21no—
222C24×C13—21no—
223C24×C13—21no—
224C24×C13—21no—
225C24×C13—21no—
226C24×C13—21no—
227C24×C13—21no—
228C24×C13—21no—
229C24×C13—21no—
230C24×C13—21no—
231C24×C13—21no—
232C24×C13—21no—
233C24×C13—21no—
234C24×C13—21no—
235C24×C13—21no—
236C24×C13—21no—
237C24×C13—21no—
238C24×C13—21no—
239C24×C13—21no—
240C24×C13—21no—
241C24×C13—21no—
242C24×C13—21no—
243C24×C13—21no—
244C24×C13—21no—
245C24×C13—21no—
246C24×C13—21no—
247C24×C13—21no—
248C24×C13—21no—
249C24×C13—21no—
250C24×C13C2×D412yes—
251C24×C13C2×D412yes—
252C24×C13C2×D412yes—
253C24×C13C2×D412yes—
254C24×C13C2×D412yes—
255C24×C13C2×D412yes—
256C24×C13C2×D412yes—
257C24×C13#4112yes—
258C24×C13C2411yescharacteristic
259C2×D4×C13—28no—
260C2×D4×C13—28no—
261C2×D4×C13—28no—
262C2×D4×C13—28no—
263C2×D4×C13—28no—
264C2×D4×C13—28no—
265C2×D4×C13—28no—
266C2×D4×C13—28no—
267C2×D4×C13—44no—
268C2×D4×C13—44no—
269C2×D4×C13—44no—
270C2×D4×C13—44no—
271C2×D4×C13—44no—
272C2×D4×C13—44no—
273C2×D4×C13—44no—
274C2×D4×C13—44no—
275C2×D4×C13—44no—
276C2×D4×C13—44no—
277C2×D4×C13—44no—
278C2×D4×C13—44no—
279C2×D4×C13—44no—
280C2×D4×C13—44no—
281C2×D4×C13—44no—
282C2×D4×C13—44no—
283C2×D4×C13—44no—
284C2×D4×C13—44no—
285C2×D4×C13—44no—
286C2×D4×C13—44no—
287C2×D4×C13—44no—
288C2×D4×C13—44no—
289C2×D4×C13—44no—
290C2×D4×C13—44no—
291C2×D4×C13—44no—
292C2×D4×C13—44no—
293C2×D4×C13—44no—
294C2×D4×C13—44no—
295C2×D4×C13—44no—
296C2×D4×C13—44no—
297C2×D4×C13—44no—
298C2×D4×C13—44no—
299C2×D4×C13—44no—
300C2×D4×C13—44no—
301C22×C4×C13—21no—
302C22×C4×C13—21no—
303C22×C4×C13—21no—
304C22×C4×C13—21no—
305C22×C4×C13—21no—
306C22×C4×C13—21no—
307C22×C4×C13—21no—
308C22×C4×C13—21no—
309C22×C4×C13—28no—
310C22×C4×C13—28no—
311C22×C4×C13—21no—
312C22×C4×C13—21no—
313C22×C4×C13—21no—
314C22×C4×C13—21no—
315C22×C4×C13—21no—
316C22×C4×C13—21no—
317C22×C4×C13—21no—
318C22×C4×C13—21no—
319C22×C4×C13—21no—
320C22×C4×C13—21no—
321C22×C4×C13—21no—
322C22×C4×C13—21no—
323C22×C4×C13—21no—
324C22×C4×C13—21no—
325C22×C4×C13—21no—
326C22×C4×C13—21no—
327C22×C4×C13—21no—
328C22×C4×C13—21no—
329C22×C4×C13—21no—
330C22×C4×C13—21no—
331C22×C4×C13—21no—
332C22×C4×C13—21no—
333C22×C4×C13—21no—
334C22×C4×C13—21no—
335C22×C4×C13—21no—
336C22×C4×C13—21no—
337C22×C4×C13—21no—
338C22×C4×C13—21no—
339C22×C4×C13—21no—
340C22×C4×C13—21no—
341C22×C4×C13—21no—
342C22×C4×C13—21no—
343C22×C4×C13—21no—
344C22×C4×C13—21no—
345C22×C4×C13—21no—
346C22×C4×C13—21no—
347C22×C4×C13—21no—
348C22×C4×C13—21no—
349C22×C4×C13—21no—
350C22×C4×C13—21no—
351C22×C4×C13—21no—
352C22×C4×C13—21no—
353C22×C4×C13—21no—
354C22×C4×C13—21no—
355C22×C4×C13—21no—
356C22×C4×C13—21no—
357C22×C4×C13—21no—
358C22×C4×C13—21no—
359C22×C4×C13—21no—
360C22×C4×C13—21no—
361C22×C4×C13—21no—
362C22×C4×C13—21no—
363C22×C4×C13—21no—
364C22×C4×C13—21no—
365C22×C4×C13—21no—
366C22×C4×C13—21no—
367C22×C4×C13—44no—
368C22×C4×C13—44no—
369C22×C4×C13—44no—
370C22×C4×C13—44no—
371C22×C4×C13—44no—
372C22×C4×C13—44no—
373C22×C4×C13—44no—
374C22×C4×C13—44no—
375C22×C4×C13—44no—
376C22×C4×C13—44no—
377C22×C4×C13—44no—
378C22×C4×C13—44no—
379C22×C4×C13C2×D412yes—
380C22×C4×C13C2×D412yes—
381C22×C4×C13C2×D412yes—
382C22×C4×C13C2×D412yes—
383C22×C4×C13C2×D412yes—
384C22×C4×C13C2×D412yes—
385C22×C4×C13C2×D412yes—
386C22×C4×C13C2×D412yes—
387C22×C4×C13C2×D412yes—
388C22×C4×C13C2×D412yes—
389C22×C4×C13C2×D412yes—
390C22×C4×C13#4112yes—
391C22×C4×C13#4112yes—
392C13×C4⋊C4—28no—
393C13×C4⋊C4—28no—
394C13×C4⋊C4—44no—
395C13×C22⋊C4—28no—
396C13×C22⋊C4—28no—
397C13×C22⋊C4—28no—
398C13×C22⋊C4—28no—
399C13×C22⋊C4—28no—
400C13×C22⋊C4—44no—
401C13×C22⋊C4—44no—
402C13×C22⋊C4—44no—
403C13×C22⋊C4—44no—
404C13×C22⋊C4—44no—
405C13×C22⋊C4—44no—
406C13×C22⋊C4—44no—
407C13×C22⋊C4—44no—
408C13×C22⋊C4—44no—
409C22×#121C2×C1311yescharacteristic, complemented
410C22×#121C2×C1311yescharacteristic, complemented
411C2×#394C2×C1311yescharacteristic, complemented
412C2×#392C2×C1311yescharacteristic, complemented
413C2×#392C2×C1311yescharacteristic, complemented
414C2×#386C2×C1311yescharacteristic, complemented
415C2×#386C2×C1311yescharacteristic, complemented
416C2×#385C2×C1311yescharacteristic, complemented
417#1441C2×C1311yescharacteristic, complemented
418#1439C2×C1311yescharacteristic, complemented
419#1439C2×C1311yescharacteristic, complemented
420#1438C2×C1311yescharacteristic, complemented
421#1438C2×C1311yescharacteristic, complemented
422#1438C2×C1311yescharacteristic, complemented
423C22⋊#95C2×C1311yescharacteristic, complemented
424C23×C13—22no—
425C23×C13—22no—
426C23×C13—22no—
427C23×C13—22no—
428C23×C13—22no—
429C23×C13—22no—
430C23×C13—22no—
431C23×C13—22no—
432C23×C13—22no—
433C23×C13—22no—
434C23×C13—22no—
435C23×C13—22no—
436C23×C13—22no—
437C23×C13—22no—
438C23×C13—22no—
439C23×C13—22no—
440C23×C13—22no—
441C23×C13—22no—
442C23×C13—22no—
443C23×C13—22no—
444C23×C13—22no—
445C23×C13—22no—
446C23×C13—22no—
447C23×C13—22no—
448C23×C13—22no—
449C23×C13—22no—
450C23×C13—22no—
451C23×C13—22no—
452C23×C13—22no—
453C23×C13—22no—
454C23×C13—22no—
455C23×C13—22no—
456C23×C13—22no—
457C23×C13—22no—
458C23×C13—22no—
459C23×C13—22no—
460C23×C13—22no—
461C23×C13—22no—
462C23×C13—22no—
463C23×C13—22no—
464C23×C13—22no—
465C23×C13—22no—
466C23×C13—22no—
467C23×C13—22no—
468C23×C13—22no—
469C23×C13—22no—
470C23×C13—22no—
471C23×C13—22no—
472C23×C13—22no—
473C23×C13—22no—
474C23×C13—41no—
475C23×C13—41no—
476C23×C13—41no—
477C23×C13—41no—
478C23×C13—41no—
479C23×C13—41no—
480C23×C13—41no—
481C23×C13—41no—
482C23×C13—41no—
483C23×C13—41no—
484C23×C13—41no—
485C23×C13—41no—
486C23×C13—41no—
487C23×C13—41no—
488C23×C13—41no—
489C23×C13—41no—
490C23×C13—41no—
491C23×C13—41no—
492C23×C13—41no—
493C23×C13—41no—
494C23×C13—41no—
495C23×C13—41no—
496C23×C13—41no—
497C23×C13—41no—
498C23×C13—41no—
499C23×C13—41no—
500C23×C13—41no—
501C23×C13—41no—
502C23×C13—41no—
503C23×C13—41no—
504C23×C13—41no—
505C23×C13—41no—
506C23×C13—41no—
507C23×C13—41no—
508C23×C13—41no—
509C23×C13—41no—
510C23×C13—41no—
511C23×C13—41no—
512C23×C13—41no—
513C23×C13—41no—
514C23×C13—41no—
515C23×C13—41no—
516C23×C13—41no—
517C23×C13—41no—
518C23×C13—41no—
519C23×C13—41no—
520C23×C13—41no—
521C23×C13—41no—
522C23×C13—41no—
523C23×C13—41no—
524C23×C13—41no—
525C23×C13—41no—
526C23×C13—41no—
527C23×C13—41no—
528C23×C13—41no—
529C23×C13—41no—
530C23×C13—41no—
531C23×C13—41no—
532C23×C13—41no—
533C23×C13—41no—
534C23×C13—41no—
535C23×C13—41no—
536C23×C13—41no—
537C23×C13—41no—
538C23×C13—41no—
539C23×C13—41no—
540C23×C13—41no—
541C23×C13—41no—
542C23×C13—41no—
543C23×C13—41no—
544C23×C13—41no—
545C23×C13—41no—
546C23×C13—41no—
547C23×C13—41no—
548C23×C13—41no—
549C23×C13—41no—
550C23×C13—41no—
551C23×C13—41no—
552C23×C13—41no—
553C23×C13—41no—
554C23×C13—41no—
555C23×C13—41no—
556C23×C13—41no—
557C23×C13—41no—
558C23×C13—41no—
559C23×C13—41no—
560C23×C13—41no—
561C23×C13—41no—
562C23×C13#12014yes—
563C23×C13#12114yescomplemented
564C23×C13C22×D411yescharacteristic
565C23×C13C22×D411yescharacteristic
566C23×C13C22×D411yescharacteristic
567C23×C13C22×D411yescharacteristic
568C23×C13C22×D411yescharacteristic
569C23×C13C22×D411yescharacteristic
570C23×C13C2×#4111yescharacteristic
571C23×C13C2×#4111yescharacteristic
572C23×C13C2×#4111yescharacteristic
573C23×C13H(5,𝔽2)11yescharacteristic
574C23×C13H(5,𝔽2)11yescharacteristic
575C23×C13H(5,𝔽2)11yescharacteristic
576C23×C13H(5,𝔽2)11yescharacteristic
577C23×C13H(5,𝔽2)11yescharacteristic
578C23×C132−1+411yescharacteristic
579D4×C13—416no—
580D4×C13—416no—
581D4×C13—416no—
582D4×C13—416no—
583D4×C13—416no—
584D4×C13—416no—
585C2×C4×C13—22no—
586C2×C4×C13—22no—
587C2×C4×C13—22no—
588C2×C4×C13—22no—
589C2×C4×C13—22no—
590C2×C4×C13—22no—
591C2×C4×C13—22no—
592C2×C4×C13—22no—
593C2×C4×C13—22no—
594C2×C4×C13—22no—
595C2×C4×C13—22no—
596C2×C4×C13—22no—
597C2×C4×C13—22no—
598C2×C4×C13—22no—
599C2×C4×C13—22no—
600C2×C4×C13—22no—
601C2×C4×C13—22no—
602C2×C4×C13—22no—
603C2×C4×C13—22no—
604C2×C4×C13—22no—
605C2×C4×C13—22no—
606C2×C4×C13—22no—
607C2×C4×C13—22no—
608C2×C4×C13—22no—
609C2×C4×C13—22no—
610C2×C4×C13—22no—
611C2×C4×C13—22no—
612C2×C4×C13—22no—
613C2×C4×C13—22no—
614C2×C4×C13—22no—
615C2×C4×C13—22no—
616C2×C4×C13—22no—
617C2×C4×C13—22no—
618C2×C4×C13—416no—
619C2×C4×C13—416no—
620C2×C4×C13—41no—
621C2×C4×C13—41no—
622C2×C4×C13—41no—
623C2×C4×C13—41no—
624C2×C4×C13—41no—
625C2×C4×C13—41no—
626C2×C4×C13—41no—
627C2×C4×C13—41no—
628C2×C4×C13—41no—
629C2×C4×C13—41no—
630C2×C4×C13—41no—
631C2×C4×C13—41no—
632C2×C4×C13—41no—
633C2×C4×C13—41no—
634C2×C4×C13—41no—
635C2×C4×C13—41no—
636C2×C4×C13—41no—
637C2×C4×C13—41no—
638C2×C4×C13—41no—
639C2×C4×C13—41no—
640C2×C4×C13—41no—
641C2×C4×C13—41no—
642C2×C4×C13—41no—
643C2×C4×C13—41no—
644C2×C4×C13—41no—
645C2×C4×C13—41no—
646C2×C4×C13—41no—
647C2×C4×C13—41no—
648C2×C4×C13—41no—
649C2×C4×C13—41no—
650C2×C4×C13—41no—
651C2×C4×C13—41no—
652C2×C4×C13—41no—
653C2×C4×C13—41no—
654C2×C4×C13—41no—
655C2×C4×C13—41no—
656C2×C4×C13—41no—
657C2×C4×C13—41no—
658C2×C4×C13—41no—
659C2×C4×C13—41no—
660C2×C4×C13—41no—
661C2×C4×C13—41no—
662C2×C4×C13#12014yes—
663C2×C4×C13#12114yescomplemented
664C23×D4C22×C1311yescharacteristic
665C23×D4C22×C1311yescharacteristic
666C23×D4C22×C1311yescharacteristic
667C23×D4C22×C1311yescharacteristic
668C23×D4C22×C1311yescharacteristic
669C23×D4C22×C1311yescharacteristic
670C24×C4C22×C1311yescharacteristic
671C24×C4C22×C1311yescharacteristic
672C2×#121—24no—
673C2×#121—24no—
674C2×#121—24no—
675C2×#121—24no—
676C2×#121—24no—
677C2×#121—24no—
678C22×C4⋊C4C22×C1311yescharacteristic
679C22×C4⋊C4C22×C1311yescharacteristic
680C22×C4⋊C4C22×C1311yescharacteristic
681C22×C22⋊C4C22×C1311yescharacteristic
682C22×C22⋊C4C22×C1311yescharacteristic
683C22×C22⋊C4C22×C1311yescharacteristic
684C22×C22⋊C4C22×C1311yescharacteristic
685C22×C22⋊C4C22×C1311yescharacteristic
686C22×C22⋊C4C22×C1311yescharacteristic
687C22×C22⋊C4C22×C1311yescharacteristic
688C22×C22⋊C4C22×C1311yescharacteristic
689C22×C22⋊C4C22×C1311yescharacteristic
690C22×C22⋊C4C22×C1311yescharacteristic
691C22×C22⋊C4C22×C1311yescharacteristic
692C22×C22⋊C4C22×C1311yescharacteristic
693C22×C22⋊C4C22×C1311yescharacteristic
694C22×C22⋊C4C22×C1311yescharacteristic
695#394—24no—
696#392—24no—
697#392—24no—
698#386—24no—
699#386—24no—
700#385—24no—
701C2×#95C22×C1311yescharacteristic
702C2×#95C22×C1311yescharacteristic
703C2×#95C22×C1311yescharacteristic
704C2×#95C22×C1311yescharacteristic
705C2×#95C22×C1311yescharacteristic
706C2×#95C22×C1311yescharacteristic
707C2×#95C22×C1311yescharacteristic
708C2×#95C22×C1311yescharacteristic
709C2×#95C22×C1311yescharacteristic
710C2×#95C22×C1311yescharacteristic
711C22×C13—24no—
712C22×C13—24no—
713C22×C13—24no—
714C22×C13—24no—
715C22×C13—24no—
716C22×C13—24no—
717C22×C13—42no—
718C22×C13—42no—
719C22×C13—42no—
720C22×C13—42no—
721C22×C13—42no—
722C22×C13—42no—
723C22×C13—42no—
724C22×C13—42no—
725C22×C13—42no—
726C22×C13—42no—
727C22×C13—42no—
728C22×C13—42no—
729C22×C13—42no—
730C22×C13—42no—
731C22×C13—42no—
732C22×C13—42no—
733C22×C13—42no—
734C22×C13—42no—
735C22×C13—42no—
736C22×C13—42no—
737C22×C13—42no—
738C22×C13—42no—
739C22×C13—42no—
740C22×C13—42no—
741C22×C13—42no—
742C22×C13—42no—
743C22×C13—42no—
744C22×C13—42no—
745C22×C13—42no—
746C22×C13—42no—
747C22×C13—42no—
748C22×C13—42no—
749C22×C13—42no—
750C22×C13—42no—
751C22×C13—42no—
752C22×C13—42no—
753C22×C13—42no—
754C22×C13—42no—
755C22×C13—81no—
756C22×C13—81no—
757C22×C13—81no—
758C22×C13—81no—
759C22×C13—81no—
760C22×C13—81no—
761C22×C13—81no—
762C22×C13—81no—
763C22×C13—81no—
764C22×C13—81no—
765C22×C13—81no—
766C22×C13—81no—
767C22×C13—81no—
768C22×C13—81no—
769C22×C13—81no—
770C22×C13—81no—
771C22×C13C2×#12011yescharacteristic
772C22×C13C2×#12011yescharacteristic
773C22×C13C2×#12111yescharacteristic
774C22×C13C2×#12111yescharacteristic
775C22×C13#52511yescharacteristic
776C22×C13#53211yescharacteristic
777C22×C13#53411yescharacteristic
778C22×C13#53411yescharacteristic
779C22×C13#53511yescharacteristic
780C22×C13#53711yescharacteristic
781C22×C13#53711yescharacteristic
782C22×C13#53711yescharacteristic
783C22×C13#53811yescharacteristic
784C22×C13#54011yescharacteristic
785C22×C13#54011yescharacteristic
786C22×C13D4211yescharacteristic
787C22×C13D4211yescharacteristic
788C22×C13D4211yescharacteristic
789C22×C13D4211yescharacteristic
790C22×C13D4211yescharacteristic
791C22×C13D4211yescharacteristic
792C22×C13D4211yescharacteristic
793C22×C13#54611yescharacteristic
794C22×C13#54611yescharacteristic
795C22×C13#54611yescharacteristic
796C22×C13#54611yescharacteristic
797C22×C13#54611yescharacteristic
798C22×C13#54611yescharacteristic
799C22×C13#54711yescharacteristic
800C22×C13#54711yescharacteristic
801C22×C13#54811yescharacteristic
802C22×C13#55011yescharacteristic
803C22×C13#55311yescharacteristic
804C22×C13#56011yescharacteristic
805C22×C13#56211yescharacteristic
806C4×C13—24no—
807C4×C13—24no—
808C4×C13—42no—
809C4×C13—42no—
810C4×C13—42no—
811C4×C13—42no—
812C4×C13—42no—
813C4×C13—42no—
814C4×C13—42no—
815C4×C13—81no—
816C4×C13—81no—
817C25C23×C1311yescharacteristic
818C25C23×C1311yescharacteristic
819C25C23×C1311yescharacteristic
820C25C23×C1311yescharacteristic
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
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—41no—
850C22×D4—41no—
851C22×D4—41no—
852C22×D4—41no—
853C22×D4—41no—
854C22×D4—41no—
855C22×D4—41no—
856C22×D4—41no—
857C22×D4—41no—
858C22×D4—41no—
859C22×D4—41no—
860C22×D4—41no—
861C22×D4D4×C1314yescomplemented
862C22×D4D4×C1314yescomplemented
863C23×C4—22no—
864C23×C4—22no—
865C23×C4—22no—
866C23×C4—22no—
867C23×C4—22no—
868C23×C4—22no—
869C23×C4—22no—
870C23×C4—22no—
871C23×C4—22no—
872C23×C4—22no—
873C23×C4—41no—
874C23×C4—41no—
875C23×C4—41no—
876C23×C4—41no—
877C23×C4C23×C1311yescharacteristic
878C23×C4C23×C1311yescharacteristic
879C23×C4C23×C1311yescharacteristic
880C23×C4C23×C1311yescharacteristic
881C23×C4C23×C1311yescharacteristic
882C23×C4C23×C1311yescharacteristic
883C23×C4C23×C1311yescharacteristic
884C23×C4C23×C1311yescharacteristic
885C23×C4C23×C1311yescharacteristic
886C23×C4C23×C1311yescharacteristic
887C23×C4C23×C1311yescharacteristic
888#121—232no—
889#121—232no—
890C2×C4⋊C4—22no—
891C2×C4⋊C4—22no—
892C2×C4⋊C4—22no—
893C2×C4⋊C4—22no—
894C2×C4⋊C4—22no—
895C2×C4⋊C4—22no—
896C2×C4⋊C4—22no—
897C2×C4⋊C4—41no—
898C2×C4⋊C4D4×C1314yescomplemented
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—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⋊C4D4×C1314yescomplemented
939C2×C22⋊C4D4×C1314yescomplemented
940C2×C22⋊C4D4×C1314yescomplemented
941#95—22no—
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—41no—
951C2×C13—44no—
952C2×C13—44no—
953C2×C13—82no—
954C2×C13—82no—
955C2×C13#240311yescharacteristic
956C2×C13#240711yescharacteristic
957C2×C13#240811yescharacteristic
958C2×C13#241011yescharacteristic
959C2×C13#241611yescharacteristic
960C2×C13#242411yescharacteristic
961C2×C13#242811yescharacteristic
962C2×C13#243011yescharacteristic
963C2×C13#246411yescharacteristic
964C2×C13#267111yescharacteristic
965C2×C13#267111yescharacteristic
966C2×C13#267311yescharacteristic
967C2×C13#267511yescharacteristic
968C2×C13#267611yescharacteristic
969C2×C13#268811yescharacteristic
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—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24C2×D4×C1312yes—
1023C24C2×D4×C1312yes—
1024C24C2×D4×C1312yes—
1025C24C2×D4×C1312yes—
1026C24C2×D4×C1312yes—
1027C24C2×D4×C1312yes—
1028C24C2×D4×C1312yes—
1029C24C13×#4112yes—
1030C24C24×C1311yescharacteristic
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
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—
1058C2×D4—44no—
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—
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—28no—
1082C22×C4—28no—
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—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4C2×D4×C1312yes—
1152C22×C4C2×D4×C1312yes—
1153C22×C4C2×D4×C1312yes—
1154C22×C4C2×D4×C1312yes—
1155C22×C4C2×D4×C1312yes—
1156C22×C4C2×D4×C1312yes—
1157C22×C4C2×D4×C1312yes—
1158C22×C4C2×D4×C1312yes—
1159C22×C4C2×D4×C1312yes—
1160C22×C4C2×D4×C1312yes—
1161C22×C4C2×D4×C1312yes—
1162C22×C4C13×#4112yes—
1163C22×C4C13×#4112yes—
1164C4⋊C4—28no—
1165C4⋊C4—28no—
1166C4⋊C4—44no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C13#1526311yescharacteristic, direct product factor, Sylow
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—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—
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—
1320C23C13×#12014yes—
1321C23C13×#12114yescomplemented
1322C23C22×D4×C1311yescharacteristic
1323C23C22×D4×C1311yescharacteristic
1324C23C22×D4×C1311yescharacteristic
1325C23C22×D4×C1311yescharacteristic
1326C23C22×D4×C1311yescharacteristic
1327C23C22×D4×C1311yescharacteristic
1328C23C2×C13×#4111yescharacteristic
1329C23C2×C13×#4111yescharacteristic
1330C23C2×C13×#4111yescharacteristic
1331C23C13×H(5,𝔽2)11yescharacteristic
1332C23C13×H(5,𝔽2)11yescharacteristic
1333C23C13×H(5,𝔽2)11yescharacteristic
1334C23C13×H(5,𝔽2)11yescharacteristic
1335C23C13×H(5,𝔽2)11yescharacteristic
1336C23C13×2−1+411yescharacteristic
1337D4—416no—
1338D4—416no—
1339D4—416no—
1340D4—416no—
1341D4—416no—
1342D4—416no—
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—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
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—416no—
1377C2×C4—416no—
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×C4C13×#12014yes—
1421C2×C4C13×#12114yescomplemented
1422C22—24no—
1423C22—24no—
1424C22—24no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
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—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—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22C2×C13×#12011yescharacteristic
1483C22C2×C13×#12011yescharacteristic
1484C22C2×C13×#12111yescharacteristic
1485C22C2×C13×#12111yescharacteristic
1486C22C13×#52511yescharacteristic
1487C22C13×#53211yescharacteristic
1488C22C13×#53411yescharacteristic
1489C22C13×#53411yescharacteristic
1490C22C13×#53511yescharacteristic
1491C22C13×#53711yescharacteristic
1492C22C13×#53711yescharacteristic
1493C22C13×#53711yescharacteristic
1494C22C13×#53811yescharacteristic
1495C22C13×#54011yescharacteristic
1496C22C13×#54011yescharacteristic
1497C22D42×C1311yescharacteristic
1498C22D42×C1311yescharacteristic
1499C22D42×C1311yescharacteristic
1500C22D42×C1311yescharacteristic
1501C22D42×C1311yescharacteristic
1502C22D42×C1311yescharacteristic
1503C22D42×C1311yescharacteristic
1504C22C13×#54611yescharacteristic
1505C22C13×#54611yescharacteristic
1506C22C13×#54611yescharacteristic
1507C22C13×#54611yescharacteristic
1508C22C13×#54611yescharacteristic
1509C22C13×#54611yescharacteristic
1510C22C13×#54711yescharacteristic
1511C22C13×#54711yescharacteristic
1512C22C13×#54811yescharacteristic
1513C22C13×#55011yescharacteristic
1514C22C13×#55311yescharacteristic
1515C22C13×#56011yescharacteristic
1516C22C13×#56211yescharacteristic
1517C4—24no—
1518C4—24no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—81no—
1527C4—81no—
1528C2—44no—
1529C2—44no—
1530C2—82no—
1531C2—82no—
1532C2C13×#240311yescharacteristic
1533C2C13×#240711yescharacteristic
1534C2C13×#240811yescharacteristic
1535C2C13×#241011yescharacteristic
1536C2C13×#241611yescharacteristic
1537C2C13×#242411yescharacteristic
1538C2C13×#242811yescharacteristic
1539C2C13×#243011yescharacteristic
1540C2C13×#246411yescharacteristic
1541C2C13×#267111yescharacteristic
1542C2C13×#267111yescharacteristic
1543C2C13×#267311yescharacteristic
1544C2C13×#267511yescharacteristic
1545C2C13×#267611yescharacteristic
1546C2C13×#268811yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C13×#121C2semidirect
2. C22×C13×#121C2semidirect
3. C2×C13×#394C2semidirect
4. C2×C13×#392C2semidirect
5. C2×C13×#392C2semidirect
6. C2×C13×#386C2semidirect
7. C2×C13×#386C2semidirect
8. C2×C13×#385C2semidirect
9. C13×#1441C2semidirect
10. C13×#1439C2semidirect
11. C13×#1439C2semidirect
12. C13×#1438C2semidirect
13. C13×#1438C2semidirect
14. C13×#1438C2semidirect
15. C13×C22⋊#95C2semidirect
107. C22×D4×C13D4semidirect
108. C22×D4×C13D4semidirect
144. C2×C13×C4⋊C4D4semidirect
184. C2×C13×C22⋊C4D4semidirect
185. C2×C13×C22⋊C4D4semidirect
186. C2×C13×C22⋊C4D4semidirect
197. #15263C13direct (N × H)
409. C22×#121C2×C13semidirect
410. C22×#121C2×C13semidirect
411. C2×#394C2×C13semidirect
412. C2×#392C2×C13semidirect
413. C2×#392C2×C13semidirect
414. C2×#386C2×C13semidirect
415. C2×#386C2×C13semidirect
416. C2×#385C2×C13semidirect
417. #1441C2×C13semidirect
418. #1439C2×C13semidirect
419. #1439C2×C13semidirect
420. #1438C2×C13semidirect
421. #1438C2×C13semidirect
422. #1438C2×C13semidirect
423. C22⋊#95C2×C13semidirect
563. C23×C13#121semidirect
663. C2×C4×C13#121semidirect
861. C22×D4D4×C13semidirect
862. C22×D4D4×C13semidirect
898. C2×C4⋊C4D4×C13semidirect
938. C2×C22⋊C4D4×C13semidirect
939. C2×C22⋊C4D4×C13semidirect
940. C2×C22⋊C4D4×C13semidirect
1181. C13#15263direct (N × H)
1321. C23C13×#121semidirect
1421. C2×C4C13×#121semidirect

Maximal subgroups

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

subgroupindex
C22×C13×#1212
C2×C13×#3942
C2×C13×#3922
C2×C13×#3862
C2×C13×#3852
C13×#14412
C13×#14392
C13×#14382
C13×C22⋊#952
#1526313