Finite Group Databasebeta

← C13×#15268 #15701607

Subgroups — C13×#15268 #15701607

Order 3328.

3502 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#120C211yesmaximal, characteristic
2C2×C13×#396C211yesmaximal, characteristic, complemented
3C2×C13×#394C211yesmaximal, characteristic, complemented
4C2×C13×#394C211yesmaximal, characteristic, complemented
5C2×C13×#390C211yesmaximal, characteristic, complemented
6C2×C13×#388C211yesmaximal, characteristic, complemented
7C2×C13×#379C211yesmaximal, characteristic, complemented
8C2×C13×#379C211yesmaximal, characteristic, complemented
9C13×#1440C211yesmaximal, characteristic, complemented
10C13×#1439C211yesmaximal, characteristic, complemented
11C13×#1439C211yesmaximal, characteristic, complemented
12C13×#1438C211yesmaximal, characteristic, complemented
13C13×#1438C211yesmaximal, characteristic, complemented
14C13×#1438C211yesmaximal, characteristic, complemented
15C13×#1437C211yesmaximal, characteristic, complemented
16C26×C13C2211yescharacteristic
17C23×D4×C13C2211yescharacteristic
18C23×D4×C13C2211yescharacteristic
19C23×D4×C13C2211yescharacteristic
20C2×C13×#120—24no—
21C2×C13×#120—24no—
22C2×C13×#120—24no—
23C22×C13×C4⋊C4C2211yescharacteristic, complemented
24C22×C13×C4⋊C4C2211yescharacteristic, complemented
25C22×C13×C4⋊C4C2211yescharacteristic, complemented
26C22×C13×C22⋊C4C2211yescharacteristic
27C22×C13×C22⋊C4C2211yescharacteristic
28C22×C13×C22⋊C4C2211yescharacteristic
29C22×C13×C22⋊C4C2211yescharacteristic
30C22×C13×C22⋊C4C2211yescharacteristic
31C22×C13×C22⋊C4C2211yescharacteristic
32C22×C13×C22⋊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, complemented
42C22×C13×C22⋊C4C2211yescharacteristic, complemented
43C22×C13×C22⋊C4C2211yescharacteristic, complemented
44C22×C13×C22⋊C4C2211yescharacteristic, complemented
45C22×C42×C13C2211yescharacteristic, complemented
46C13×#396—24no—
47C13×#394—24no—
48C13×#394—24no—
49C13×#390—24no—
50C13×#388—24no—
51C13×#379—24no—
52C13×#379—24no—
53C2×C13×#95C2211yescharacteristic, complemented
54C2×C13×#95C2211yescharacteristic, complemented
55C2×C13×#95C2211yescharacteristic, complemented
56C2×C13×#95C2211yescharacteristic, complemented
57C2×C13×#95C2211yescharacteristic, complemented
58C2×C13×#95C2211yescharacteristic, complemented
59C2×C13×#95C2211yescharacteristic, complemented
60C2×C13×#95C2211yescharacteristic, complemented
61C25×C13—22no—
62C25×C13—22no—
63C25×C13—22no—
64C25×C13—22no—
65C25×C13—22no—
66C25×C13—22no—
67C25×C13—22no—
68C25×C13—22no—
69C25×C13—22no—
70C25×C13—41no—
71C25×C13—41no—
72C25×C13—41no—
73C25×C13—41no—
74C25×C13—41no—
75C25×C13—41no—
76C25×C13C2311yescharacteristic
77C25×C13C2311yescharacteristic
78C25×C13C2311yescharacteristic
79C25×C13C2311yescharacteristic
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—41no—
95C22×D4×C13—41no—
96C22×D4×C13—41no—
97C22×D4×C13—41no—
98C22×D4×C13—41no—
99C22×D4×C13—41no—
100C22×D4×C13D414yes—
101C23×C4×C13C2311yescharacteristic
102C23×C4×C13C2311yescharacteristic
103C23×C4×C13C2311yescharacteristic
104C23×C4×C13C2311yescharacteristic
105C23×C4×C13C2311yescharacteristic
106C23×C4×C13C2311yescharacteristic
107C23×C4×C13C2311yescharacteristic
108C23×C4×C13C2311yescharacteristic
109C23×C4×C13C2311yescharacteristic
110C23×C4×C13C2311yescharacteristic
111C23×C4×C13C2311yescharacteristic
112C13×#120—232no—
113C2×C13×C4⋊C4—22no—
114C2×C13×C4⋊C4—22no—
115C2×C13×C4⋊C4—22no—
116C2×C13×C4⋊C4—22no—
117C2×C13×C4⋊C4—22no—
118C2×C13×C4⋊C4—22no—
119C2×C13×C4⋊C4—22no—
120C2×C13×C4⋊C4—41no—
121C2×C13×C4⋊C4—41no—
122C2×C13×C22⋊C4—22no—
123C2×C13×C22⋊C4—22no—
124C2×C13×C22⋊C4—22no—
125C2×C13×C22⋊C4—22no—
126C2×C13×C22⋊C4—22no—
127C2×C13×C22⋊C4—22no—
128C2×C13×C22⋊C4—22no—
129C2×C13×C22⋊C4—22no—
130C2×C13×C22⋊C4—22no—
131C2×C13×C22⋊C4—22no—
132C2×C13×C22⋊C4—22no—
133C2×C13×C22⋊C4—22no—
134C2×C13×C22⋊C4—22no—
135C2×C13×C22⋊C4—22no—
136C2×C13×C22⋊C4—22no—
137C2×C13×C22⋊C4—22no—
138C2×C13×C22⋊C4—22no—
139C2×C13×C22⋊C4—22no—
140C2×C13×C22⋊C4—22no—
141C2×C13×C22⋊C4—22no—
142C2×C13×C22⋊C4—22no—
143C2×C13×C22⋊C4—22no—
144C2×C13×C22⋊C4—22no—
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—41no—
158C2×C13×C22⋊C4—41no—
159C2×C13×C22⋊C4—41no—
160C2×C13×C22⋊C4—41no—
161C2×C13×C22⋊C4—41no—
162C2×C13×C22⋊C4—41no—
163C2×C13×C22⋊C4—41no—
164C2×C13×C22⋊C4—41no—
165C2×C13×C22⋊C4—41no—
166C2×C13×C22⋊C4—41no—
167C2×C13×C22⋊C4—41no—
168C2×C13×C22⋊C4—41no—
169C2×C13×C22⋊C4—41no—
170C2×C13×C22⋊C4—41no—
171C2×C13×C22⋊C4—41no—
172C2×C13×C22⋊C4—41no—
173C2×C13×C22⋊C4—41no—
174C2×C13×C22⋊C4—41no—
175C2×C13×C22⋊C4D414yes—
176C2×C13×C22⋊C4D414yes—
177C2×C13×C22⋊C4D414yescomplemented
178C2×C13×C22⋊C4D414yescomplemented
179C2×C42×C13—22no—
180C2×C42×C13—22no—
181C2×C42×C13—41no—
182C13×#95—22no—
183C13×#95—22no—
184C13×#95—22no—
185C13×#95—22no—
186C13×#95—22no—
187C13×#95—41no—
188C13×#95—41no—
189C13×#95—41no—
190#15268C1311yesmaximal, characteristic, direct product factor, Sylow
191C24×C13—21no—
192C24×C13—21no—
193C24×C13—21no—
194C24×C13—21no—
195C24×C13—21no—
196C24×C13—21no—
197C24×C13—21no—
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—28no—
228C24×C13—28no—
229C24×C13—28no—
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—44no—
245C24×C13—44no—
246C24×C13—44no—
247C24×C13—44no—
248C24×C13—44no—
249C24×C13—44no—
250C24×C13—44no—
251C24×C13—44no—
252C24×C13—44no—
253C24×C13—44no—
254C24×C13—44no—
255C24×C13—44no—
256C24×C13—44no—
257C24×C13—44no—
258C24×C13—44no—
259C24×C13—44no—
260C24×C13—44no—
261C24×C13—44no—
262C24×C13—44no—
263C24×C13—44no—
264C24×C13—44no—
265C24×C13—44no—
266C24×C13—44no—
267C24×C13—44no—
268C24×C13—44no—
269C24×C13—44no—
270C24×C13—44no—
271C24×C13—44no—
272C24×C13—44no—
273C24×C13—44no—
274C24×C13—44no—
275C24×C13—44no—
276C24×C13C2×D412yes—
277C24×C13C2×D412yes—
278C24×C13C2×D412yes—
279C24×C13C2×D412yes—
280C24×C13C2×D412yes—
281C24×C13C2×D412yes—
282C24×C13#4112yes—
283C24×C13#4112yes—
284C24×C13#4112yes—
285C24×C13#4112yes—
286C24×C13C2411yescharacteristic
287C2×D4×C13—28no—
288C2×D4×C13—28no—
289C2×D4×C13—28no—
290C2×D4×C13—28no—
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—
301C2×D4×C13—44no—
302C2×D4×C13—44no—
303C2×D4×C13—44no—
304C2×D4×C13—44no—
305C2×D4×C13—44no—
306C2×D4×C13—44no—
307C2×D4×C13—44no—
308C22×C4×C13—21no—
309C22×C4×C13—21no—
310C22×C4×C13—21no—
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—21no—
368C22×C4×C13—21no—
369C22×C4×C13—21no—
370C22×C4×C13—21no—
371C22×C4×C13—21no—
372C22×C4×C13—21no—
373C22×C4×C13—21no—
374C22×C4×C13—21no—
375C22×C4×C13—21no—
376C22×C4×C13C2×D412yes—
377C22×C4×C13C2×D412yes—
378C22×C4×C13C2×D412yes—
379C22×C4×C13C2×D412yes—
380C22×C4×C13C2×D412yes—
381C22×C4×C13C2×D412yes—
382C22×C4×C13C2×D412yes—
383C22×C4×C13C2×D412yes—
384C22×C4×C13C2×D412yes—
385C13×C4⋊C4—44no—
386C13×C4⋊C4—44no—
387C13×C4⋊C4—44no—
388C13×C22⋊C4—28no—
389C13×C22⋊C4—28no—
390C13×C22⋊C4—28no—
391C13×C22⋊C4—28no—
392C13×C22⋊C4—44no—
393C13×C22⋊C4—44no—
394C13×C22⋊C4—44no—
395C13×C22⋊C4—44no—
396C13×C22⋊C4—44no—
397C13×C22⋊C4—44no—
398C13×C22⋊C4—44no—
399C13×C22⋊C4—44no—
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—
407C42×C13—44no—
408C22×#120C2×C1311yescharacteristic
409C2×#396C2×C1311yescharacteristic, complemented
410C2×#394C2×C1311yescharacteristic, complemented
411C2×#394C2×C1311yescharacteristic, complemented
412C2×#390C2×C1311yescharacteristic, complemented
413C2×#388C2×C1311yescharacteristic, complemented
414C2×#379C2×C1311yescharacteristic, complemented
415C2×#379C2×C1311yescharacteristic, complemented
416#1440C2×C1311yescharacteristic, complemented
417#1439C2×C1311yescharacteristic, complemented
418#1439C2×C1311yescharacteristic, complemented
419#1438C2×C1311yescharacteristic, complemented
420#1438C2×C1311yescharacteristic, complemented
421#1438C2×C1311yescharacteristic, complemented
422#1437C2×C1311yescharacteristic, complemented
423C23×C13—22no—
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—22no—
475C23×C13—22no—
476C23×C13—22no—
477C23×C13—22no—
478C23×C13—22no—
479C23×C13—22no—
480C23×C13—22no—
481C23×C13—22no—
482C23×C13—22no—
483C23×C13—22no—
484C23×C13—416no—
485C23×C13—416no—
486C23×C13—416no—
487C23×C13—416no—
488C23×C13—416no—
489C23×C13—416no—
490C23×C13—416no—
491C23×C13—416no—
492C23×C13—416no—
493C23×C13—416no—
494C23×C13—416no—
495C23×C13—416no—
496C23×C13—416no—
497C23×C13—416no—
498C23×C13—416no—
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—41no—
563C23×C13—41no—
564C23×C13—41no—
565C23×C13—41no—
566C23×C13—41no—
567C23×C13—41no—
568C23×C13—41no—
569C23×C13—41no—
570C23×C13—41no—
571C23×C13—41no—
572C23×C13—41no—
573C23×C13—41no—
574C23×C13—41no—
575C23×C13#12114yes—
576C23×C13#12114yes—
577C23×C13#12414yes—
578C23×C13C22×D411yescharacteristic
579C23×C13C22×D411yescharacteristic
580C23×C13C22×D411yescharacteristic
581C23×C13C22×D411yescharacteristic
582C23×C13C22×D411yescharacteristic
583C23×C13C2×#4111yescharacteristic
584C23×C13C2×#4111yescharacteristic
585C23×C13C2×#4111yescharacteristic
586C23×C13C2×#4111yescharacteristic
587C23×C13H(5,𝔽2)11yescharacteristic
588C23×C13H(5,𝔽2)11yescharacteristic
589C23×C13H(5,𝔽2)11yescharacteristic
590C23×C13H(5,𝔽2)11yescharacteristic
591C23×C13H(5,𝔽2)11yescharacteristic
592C23×C13H(5,𝔽2)11yescharacteristic
593D4×C13—416no—
594D4×C13—416no—
595D4×C13—416no—
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—22no—
619C2×C4×C13—22no—
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—41no—
663C2×C4×C13—41no—
664C2×C4×C13—41no—
665C2×C4×C13—41no—
666C2×C4×C13—41no—
667C2×C4×C13—41no—
668C2×C4×C13—41no—
669C2×C4×C13—41no—
670C2×C4×C13—41no—
671C2×C4×C13—41no—
672C2×C4×C13#12014yes—
673C26C22×C1311yescharacteristic
674C23×D4C22×C1311yescharacteristic
675C23×D4C22×C1311yescharacteristic
676C23×D4C22×C1311yescharacteristic
677C2×#120—24no—
678C2×#120—24no—
679C2×#120—24no—
680C22×C4⋊C4C22×C1311yescharacteristic, complemented
681C22×C4⋊C4C22×C1311yescharacteristic, complemented
682C22×C4⋊C4C22×C1311yescharacteristic, complemented
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
695C22×C22⋊C4C22×C1311yescharacteristic
696C22×C22⋊C4C22×C1311yescharacteristic
697C22×C22⋊C4C22×C1311yescharacteristic
698C22×C22⋊C4C22×C1311yescharacteristic, complemented
699C22×C22⋊C4C22×C1311yescharacteristic, complemented
700C22×C22⋊C4C22×C1311yescharacteristic, complemented
701C22×C22⋊C4C22×C1311yescharacteristic, complemented
702C22×C42C22×C1311yescharacteristic, complemented
703#396—24no—
704#394—24no—
705#394—24no—
706#390—24no—
707#388—24no—
708#379—24no—
709#379—24no—
710C2×#95C22×C1311yescharacteristic, complemented
711C2×#95C22×C1311yescharacteristic, complemented
712C2×#95C22×C1311yescharacteristic, complemented
713C2×#95C22×C1311yescharacteristic, complemented
714C2×#95C22×C1311yescharacteristic, complemented
715C2×#95C22×C1311yescharacteristic, complemented
716C2×#95C22×C1311yescharacteristic, complemented
717C2×#95C22×C1311yescharacteristic, complemented
718C22×C13—24no—
719C22×C13—24no—
720C22×C13—24no—
721C22×C13—24no—
722C22×C13—24no—
723C22×C13—24no—
724C22×C13—24no—
725C22×C13—24no—
726C22×C13—24no—
727C22×C13—464no—
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—42no—
756C22×C13—42no—
757C22×C13—42no—
758C22×C13—42no—
759C22×C13—42no—
760C22×C13—42no—
761C22×C13—42no—
762C22×C13—42no—
763C22×C13—42no—
764C22×C13—42no—
765C22×C13—42no—
766C22×C13—42no—
767C22×C13—42no—
768C22×C13—42no—
769C22×C13—42no—
770C22×C13—42no—
771C22×C13—81no—
772C22×C13—81no—
773C22×C13—81no—
774C22×C13—81no—
775C22×C13—81no—
776C22×C13—81no—
777C22×C13—81no—
778C22×C13—81no—
779C22×C13C2×#12011yescharacteristic
780C22×C13C2×#12111yescharacteristic
781C22×C13C2×#12111yescharacteristic
782C22×C13#52511yescharacteristic
783C22×C13#52511yescharacteristic
784C22×C13C2×#12411yescharacteristic
785C22×C13#53411yescharacteristic
786C22×C13#53411yescharacteristic
787C22×C13#53511yescharacteristic
788C22×C13#53511yescharacteristic
789C22×C13#53511yescharacteristic
790C22×C13#53811yescharacteristic
791C22×C13#53811yescharacteristic
792C22×C13#53811yescharacteristic
793C22×C13#53811yescharacteristic
794C22×C13D4211yescharacteristic
795C22×C13D4211yescharacteristic
796C22×C13D4211yescharacteristic
797C22×C13D4211yescharacteristic
798C22×C13D4211yescharacteristic
799C22×C13#54611yescharacteristic
800C22×C13#54611yescharacteristic
801C22×C13#54611yescharacteristic
802C22×C13#54611yescharacteristic
803C22×C13#54611yescharacteristic
804C22×C13#54611yescharacteristic
805C22×C13#54611yescharacteristic
806C22×C13#54611yescharacteristic
807C22×C13#54611yescharacteristic
808C22×C13#54611yescharacteristic
809C22×C13#55111yescharacteristic
810C22×C13#55111yescharacteristic
811C22×C13#55111yescharacteristic
812C22×C13#56011yescharacteristic
813C22×C13#56011yescharacteristic
814C4×C13—24no—
815C4×C13—42no—
816C4×C13—42no—
817C4×C13—42no—
818C4×C13—42no—
819C4×C13—42no—
820C4×C13—42no—
821C4×C13—81no—
822C4×C13—81no—
823C4×C13—81no—
824C4×C13—81no—
825C25—22no—
826C25—22no—
827C25—22no—
828C25—22no—
829C25—22no—
830C25—22no—
831C25—22no—
832C25—22no—
833C25—22no—
834C25—41no—
835C25—41no—
836C25—41no—
837C25—41no—
838C25—41no—
839C25—41no—
840C25C23×C1311yescharacteristic
841C25C23×C1311yescharacteristic
842C25C23×C1311yescharacteristic
843C25C23×C1311yescharacteristic
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—22no—
856C22×D4—22no—
857C22×D4—22no—
858C22×D4—41no—
859C22×D4—41no—
860C22×D4—41no—
861C22×D4—41no—
862C22×D4—41no—
863C22×D4—41no—
864C22×D4D4×C1314yes—
865C23×C4C23×C1311yescharacteristic
866C23×C4C23×C1311yescharacteristic
867C23×C4C23×C1311yescharacteristic
868C23×C4C23×C1311yescharacteristic
869C23×C4C23×C1311yescharacteristic
870C23×C4C23×C1311yescharacteristic
871C23×C4C23×C1311yescharacteristic
872C23×C4C23×C1311yescharacteristic
873C23×C4C23×C1311yescharacteristic
874C23×C4C23×C1311yescharacteristic
875C23×C4C23×C1311yescharacteristic
876#120—232no—
877C2×C4⋊C4—22no—
878C2×C4⋊C4—22no—
879C2×C4⋊C4—22no—
880C2×C4⋊C4—22no—
881C2×C4⋊C4—22no—
882C2×C4⋊C4—22no—
883C2×C4⋊C4—22no—
884C2×C4⋊C4—41no—
885C2×C4⋊C4—41no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
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—41no—
922C2×C22⋊C4—41no—
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⋊C4D4×C1314yes—
940C2×C22⋊C4D4×C1314yes—
941C2×C22⋊C4D4×C1314yescomplemented
942C2×C22⋊C4D4×C1314yescomplemented
943C2×C42—22no—
944C2×C42—22no—
945C2×C42—41no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—41no—
952#95—41no—
953#95—41no—
954C2×C13—44no—
955C2×C13—44no—
956C2×C13—44no—
957C2×C13—82no—
958C2×C13#240811yescharacteristic
959C2×C13#241011yescharacteristic
960C2×C13#241111yescharacteristic
961C2×C13#242411yescharacteristic
962C2×C13#242411yescharacteristic
963C2×C13#243511yescharacteristic
964C2×C13#247211yescharacteristic
965C2×C13#247211yescharacteristic
966C2×C13#253411yescharacteristic
967C2×C13#266911yescharacteristic
968C2×C13#267811yescharacteristic
969C2×C13#267811yescharacteristic
970C2×C13#268511yescharacteristic
971C2×C13#268511yescharacteristic
972C2×C13#269711yescharacteristic
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—28no—
1010C24—28no—
1011C24—28no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—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—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24C2×D4×C1312yes—
1059C24C2×D4×C1312yes—
1060C24C2×D4×C1312yes—
1061C24C2×D4×C1312yes—
1062C24C2×D4×C1312yes—
1063C24C2×D4×C1312yes—
1064C24C13×#4112yes—
1065C24C13×#4112yes—
1066C24C13×#4112yes—
1067C24C13×#4112yes—
1068C24C24×C1311yescharacteristic
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
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×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4C2×D4×C1312yes—
1159C22×C4C2×D4×C1312yes—
1160C22×C4C2×D4×C1312yes—
1161C22×C4C2×D4×C1312yes—
1162C22×C4C2×D4×C1312yes—
1163C22×C4C2×D4×C1312yes—
1164C22×C4C2×D4×C1312yes—
1165C22×C4C2×D4×C1312yes—
1166C22×C4C2×D4×C1312yes—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C42—44no—
1190C13#1526811yescharacteristic, direct product factor, Sylow
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—416no—
1253C23—416no—
1254C23—416no—
1255C23—416no—
1256C23—416no—
1257C23—416no—
1258C23—416no—
1259C23—416no—
1260C23—416no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23C13×#12114yes—
1344C23C13×#12114yes—
1345C23C13×#12414yes—
1346C23C22×D4×C1311yescharacteristic
1347C23C22×D4×C1311yescharacteristic
1348C23C22×D4×C1311yescharacteristic
1349C23C22×D4×C1311yescharacteristic
1350C23C22×D4×C1311yescharacteristic
1351C23C2×C13×#4111yescharacteristic
1352C23C2×C13×#4111yescharacteristic
1353C23C2×C13×#4111yescharacteristic
1354C23C2×C13×#4111yescharacteristic
1355C23C13×H(5,𝔽2)11yescharacteristic
1356C23C13×H(5,𝔽2)11yescharacteristic
1357C23C13×H(5,𝔽2)11yescharacteristic
1358C23C13×H(5,𝔽2)11yescharacteristic
1359C23C13×H(5,𝔽2)11yescharacteristic
1360C23C13×H(5,𝔽2)11yescharacteristic
1361D4—416no—
1362D4—416no—
1363D4—416no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4C13×#12014yes—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—24no—
1450C22—464no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22C2×C13×#12011yescharacteristic
1503C22C2×C13×#12111yescharacteristic
1504C22C2×C13×#12111yescharacteristic
1505C22C13×#52511yescharacteristic
1506C22C13×#52511yescharacteristic
1507C22C2×C13×#12411yescharacteristic
1508C22C13×#53411yescharacteristic
1509C22C13×#53411yescharacteristic
1510C22C13×#53511yescharacteristic
1511C22C13×#53511yescharacteristic
1512C22C13×#53511yescharacteristic
1513C22C13×#53811yescharacteristic
1514C22C13×#53811yescharacteristic
1515C22C13×#53811yescharacteristic
1516C22C13×#53811yescharacteristic
1517C22D42×C1311yescharacteristic
1518C22D42×C1311yescharacteristic
1519C22D42×C1311yescharacteristic
1520C22D42×C1311yescharacteristic
1521C22D42×C1311yescharacteristic
1522C22C13×#54611yescharacteristic
1523C22C13×#54611yescharacteristic
1524C22C13×#54611yescharacteristic
1525C22C13×#54611yescharacteristic
1526C22C13×#54611yescharacteristic
1527C22C13×#54611yescharacteristic
1528C22C13×#54611yescharacteristic
1529C22C13×#54611yescharacteristic
1530C22C13×#54611yescharacteristic
1531C22C13×#54611yescharacteristic
1532C22C13×#55111yescharacteristic
1533C22C13×#55111yescharacteristic
1534C22C13×#55111yescharacteristic
1535C22C13×#56011yescharacteristic
1536C22C13×#56011yescharacteristic
1537C4—24no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C2—44no—
1549C2—44no—
1550C2—44no—
1551C2—82no—
1552C2C13×#240811yescharacteristic
1553C2C13×#241011yescharacteristic
1554C2C13×#241111yescharacteristic
1555C2C13×#242411yescharacteristic
1556C2C13×#242411yescharacteristic
1557C2C13×#243511yescharacteristic
1558C2C13×#247211yescharacteristic
1559C2C13×#247211yescharacteristic
1560C2C13×#253411yescharacteristic
1561C2C13×#266911yescharacteristic
1562C2C13×#267811yescharacteristic
1563C2C13×#267811yescharacteristic
1564C2C13×#268511yescharacteristic
1565C2C13×#268511yescharacteristic
1566C2C13×#269711yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
prime radicalC22×C13×#120C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C13×#396C2semidirect
3. C2×C13×#394C2semidirect
4. C2×C13×#394C2semidirect
5. C2×C13×#390C2semidirect
6. C2×C13×#388C2semidirect
7. C2×C13×#379C2semidirect
8. C2×C13×#379C2semidirect
9. C13×#1440C2semidirect
10. C13×#1439C2semidirect
11. C13×#1439C2semidirect
12. C13×#1438C2semidirect
13. C13×#1438C2semidirect
14. C13×#1438C2semidirect
15. C13×#1437C2semidirect
23. C22×C13×C4⋊C4C22semidirect
24. C22×C13×C4⋊C4C22semidirect
25. C22×C13×C4⋊C4C22semidirect
41. C22×C13×C22⋊C4C22semidirect
42. C22×C13×C22⋊C4C22semidirect
43. C22×C13×C22⋊C4C22semidirect
44. C22×C13×C22⋊C4C22semidirect
45. C22×C42×C13C22semidirect
53. C2×C13×#95C22semidirect
54. C2×C13×#95C22semidirect
55. C2×C13×#95C22semidirect
56. C2×C13×#95C22semidirect
57. C2×C13×#95C22semidirect
58. C2×C13×#95C22semidirect
59. C2×C13×#95C22semidirect
60. C2×C13×#95C22semidirect
177. C2×C13×C22⋊C4D4semidirect
178. C2×C13×C22⋊C4D4semidirect
190. #15268C13direct (N × H)
409. C2×#396C2×C13semidirect
410. C2×#394C2×C13semidirect
411. C2×#394C2×C13semidirect
412. C2×#390C2×C13semidirect
413. C2×#388C2×C13semidirect
414. C2×#379C2×C13semidirect
415. C2×#379C2×C13semidirect
416. #1440C2×C13semidirect
417. #1439C2×C13semidirect
418. #1439C2×C13semidirect
419. #1438C2×C13semidirect
420. #1438C2×C13semidirect
421. #1438C2×C13semidirect
422. #1437C2×C13semidirect
680. C22×C4⋊C4C22×C13semidirect
681. C22×C4⋊C4C22×C13semidirect
682. C22×C4⋊C4C22×C13semidirect
698. C22×C22⋊C4C22×C13semidirect
699. C22×C22⋊C4C22×C13semidirect
700. C22×C22⋊C4C22×C13semidirect
701. C22×C22⋊C4C22×C13semidirect
702. C22×C42C22×C13semidirect
710. C2×#95C22×C13semidirect
711. C2×#95C22×C13semidirect
712. C2×#95C22×C13semidirect
713. C2×#95C22×C13semidirect
714. C2×#95C22×C13semidirect
715. C2×#95C22×C13semidirect
716. C2×#95C22×C13semidirect
717. C2×#95C22×C13semidirect
941. C2×C22⋊C4D4×C13semidirect
942. C2×C22⋊C4D4×C13semidirect
1190. C13#15268direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C13×#1202
C2×C13×#3962
C2×C13×#3942
C2×C13×#3902
C2×C13×#3882
C2×C13×#3792
C13×#14402
C13×#14392
C13×#14382
C13×#14372
#1526813