Finite Group Databasebeta

← C13×#15315 #15701654

Subgroups — C13×#15315 #15701654

Order 3328.

2922 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#121C211yesmaximal, characteristic, complemented
2C2×C13×#396C211yesmaximal, characteristic, complemented
3C2×C13×#394C211yesmaximal, characteristic, complemented
4C2×C13×#392C211yesmaximal, characteristic, complemented
5C2×C13×#392C211yesmaximal, characteristic, complemented
6C2×C13×#392C211yesmaximal, characteristic, complemented
7C2×C13×#390C211yesmaximal, characteristic, complemented
8C2×C13×#390C211yesmaximal, characteristic, complemented
9C2×C13×#386C211yesmaximal, characteristic, complemented
10C2×C13×#385C211yesmaximal, characteristic, complemented
11C13×#1439C211yesmaximal, characteristic, complemented
12C13×#1439C211yesmaximal, characteristic, complemented
13C13×#1438C211yesmaximal, characteristic, complemented
14C13×#1438C211yesmaximal, characteristic, complemented
15C13×#1436C211yesmaximal, characteristic, complemented
16C23×D4×C13C2211yescharacteristic
17C23×D4×C13C2211yescharacteristic
18C23×D4×C13C2211yescharacteristic
19C23×D4×C13C2211yescharacteristic
20C23×D4×C13C2211yescharacteristic
21C23×D4×C13C2211yescharacteristic
22C24×C4×C13C2211yescharacteristic
23C2×C13×#121—24no—
24C2×C13×#121—24no—
25C2×C13×#121—24no—
26C22×C13×C4⋊C4C2211yescharacteristic
27C22×C13×C4⋊C4C2211yescharacteristic
28C22×C13×C4⋊C4C2211yescharacteristic
29C22×C13×C4⋊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
42C22×C13×C22⋊C4C2211yescharacteristic
43C22×C13×C22⋊C4C2211yescharacteristic
44C22×C13×C22⋊C4C2211yescharacteristic
45C22×C42×C13C2211yescharacteristic
46C13×#396—24no—
47C13×#394—24no—
48C13×#392—24no—
49C13×#392—24no—
50C13×#392—24no—
51C13×#390—24no—
52C13×#390—24no—
53C13×#386—24no—
54C13×#385—24no—
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—41no—
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×C13—41no—
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—41no—
115C23×C4×C13—41no—
116C23×C4×C13C2311yescharacteristic
117C23×C4×C13C2311yescharacteristic
118C23×C4×C13C2311yescharacteristic
119C23×C4×C13C2311yescharacteristic
120C23×C4×C13C2311yescharacteristic
121C23×C4×C13C2311yescharacteristic
122C23×C4×C13C2311yescharacteristic
123C23×C4×C13C2311yescharacteristic
124C23×C4×C13C2311yescharacteristic
125C23×C4×C13C2311yescharacteristic
126C23×C4×C13C2311yescharacteristic
127C13×#121—232no—
128C2×C13×C4⋊C4—22no—
129C2×C13×C4⋊C4—22no—
130C2×C13×C4⋊C4—22no—
131C2×C13×C4⋊C4—22no—
132C2×C13×C4⋊C4—22no—
133C2×C13×C4⋊C4—22no—
134C2×C13×C4⋊C4—22no—
135C2×C13×C4⋊C4—22no—
136C2×C13×C4⋊C4—22no—
137C2×C13×C4⋊C4—41no—
138C2×C13×C4⋊C4—41no—
139C2×C13×C4⋊C4D414yescomplemented
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—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—22no—
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⋊C4D414yescomplemented
184C2×C13×C22⋊C4D414yescomplemented
185C2×C42×C13—22no—
186C2×C42×C13—22no—
187C2×C42×C13—41no—
188C13×#95—22no—
189C13×#95—22no—
190C13×#95—22no—
191C13×#95—22no—
192C13×#95—22no—
193C13×#95—41no—
194C13×#95D414yescomplemented
195C13×#95D414yescomplemented
196#15315C1311yesmaximal, characteristic, direct product factor, Sylow
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—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×C13—21no—
251C24×C13C2×D412yes—
252C24×C13C2×D412yes—
253C24×C13C2×D412yes—
254C24×C13C2×D412yes—
255C24×C13#4112yes—
256C24×C13#4112yes—
257C24×C13C2411yescharacteristic
258C2×D4×C13—28no—
259C2×D4×C13—28no—
260C2×D4×C13—28no—
261C2×D4×C13—28no—
262C2×D4×C13—28no—
263C2×D4×C13—28no—
264C2×D4×C13—44no—
265C2×D4×C13—44no—
266C2×D4×C13—44no—
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—
300C22×C4×C13—21no—
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—21no—
310C22×C4×C13—21no—
311C22×C4×C13—21no—
312C22×C4×C13—28no—
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—44no—
364C22×C4×C13—44no—
365C22×C4×C13—44no—
366C22×C4×C13—44no—
367C22×C4×C13—44no—
368C22×C4×C13—44no—
369C22×C4×C13C2×D412yes—
370C22×C4×C13C2×D412yes—
371C22×C4×C13C2×D412yes—
372C22×C4×C13C2×D412yes—
373C22×C4×C13C2×D412yes—
374C22×C4×C13C2×D412yes—
375C22×C4×C13C2×D412yes—
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×C13#4112yes—
384C13×C4⋊C4—28no—
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—44no—
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—
403C42×C13—44no—
404C22×#121C2×C1311yescharacteristic, complemented
405C2×#396C2×C1311yescharacteristic, complemented
406C2×#394C2×C1311yescharacteristic, complemented
407C2×#392C2×C1311yescharacteristic, complemented
408C2×#392C2×C1311yescharacteristic, complemented
409C2×#392C2×C1311yescharacteristic, complemented
410C2×#390C2×C1311yescharacteristic, complemented
411C2×#390C2×C1311yescharacteristic, complemented
412C2×#386C2×C1311yescharacteristic, complemented
413C2×#385C2×C1311yescharacteristic, complemented
414#1439C2×C1311yescharacteristic, complemented
415#1439C2×C1311yescharacteristic, complemented
416#1438C2×C1311yescharacteristic, complemented
417#1438C2×C1311yescharacteristic, complemented
418#1436C2×C1311yescharacteristic, complemented
419C23×C13—22no—
420C23×C13—22no—
421C23×C13—22no—
422C23×C13—22no—
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—41no—
459C23×C13—41no—
460C23×C13—41no—
461C23×C13—41no—
462C23×C13—41no—
463C23×C13—41no—
464C23×C13—41no—
465C23×C13—41no—
466C23×C13—41no—
467C23×C13—41no—
468C23×C13—41no—
469C23×C13—41no—
470C23×C13—41no—
471C23×C13—41no—
472C23×C13—41no—
473C23×C13—41no—
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#12114yes—
559C23×C13C22×D411yescharacteristic
560C23×C13C22×D411yescharacteristic
561C23×C13C22×D411yescharacteristic
562C23×C13C22×D411yescharacteristic
563C23×C13C22×D411yescharacteristic
564C23×C13C22×D411yescharacteristic
565C23×C13C2×#4111yescharacteristic
566C23×C13C2×#4111yescharacteristic
567C23×C13C2×#4111yescharacteristic
568C23×C13H(5,𝔽2)11yescharacteristic
569C23×C13H(5,𝔽2)11yescharacteristic
570C23×C13H(5,𝔽2)11yescharacteristic
571C23×C13H(5,𝔽2)11yescharacteristic
572C23×C13H(5,𝔽2)11yescharacteristic
573C23×C132−1+411yescharacteristic
574D4×C13—416no—
575D4×C13—416no—
576D4×C13—416no—
577D4×C13—416no—
578D4×C13—416no—
579D4×C13—416no—
580C2×C4×C13—22no—
581C2×C4×C13—22no—
582C2×C4×C13—22no—
583C2×C4×C13—22no—
584C2×C4×C13—22no—
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—416no—
617C2×C4×C13—41no—
618C2×C4×C13—41no—
619C2×C4×C13—41no—
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#12014yes—
656C2×C4×C13#12114yescomplemented
657C2×C4×C13#12714yes—
658C23×D4C22×C1311yescharacteristic
659C23×D4C22×C1311yescharacteristic
660C23×D4C22×C1311yescharacteristic
661C23×D4C22×C1311yescharacteristic
662C23×D4C22×C1311yescharacteristic
663C23×D4C22×C1311yescharacteristic
664C24×C4C22×C1311yescharacteristic
665C2×#121—24no—
666C2×#121—24no—
667C2×#121—24no—
668C22×C4⋊C4C22×C1311yescharacteristic
669C22×C4⋊C4C22×C1311yescharacteristic
670C22×C4⋊C4C22×C1311yescharacteristic
671C22×C4⋊C4C22×C1311yescharacteristic
672C22×C22⋊C4C22×C1311yescharacteristic
673C22×C22⋊C4C22×C1311yescharacteristic
674C22×C22⋊C4C22×C1311yescharacteristic
675C22×C22⋊C4C22×C1311yescharacteristic
676C22×C22⋊C4C22×C1311yescharacteristic
677C22×C22⋊C4C22×C1311yescharacteristic
678C22×C22⋊C4C22×C1311yescharacteristic
679C22×C22⋊C4C22×C1311yescharacteristic
680C22×C22⋊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×C42C22×C1311yescharacteristic
688#396—24no—
689#394—24no—
690#392—24no—
691#392—24no—
692#392—24no—
693#390—24no—
694#390—24no—
695#386—24no—
696#385—24no—
697C2×#95C22×C1311yescharacteristic
698C2×#95C22×C1311yescharacteristic
699C2×#95C22×C1311yescharacteristic
700C2×#95C22×C1311yescharacteristic
701C2×#95C22×C1311yescharacteristic
702C2×#95C22×C1311yescharacteristic
703C2×#95C22×C1311yescharacteristic
704C2×#95C22×C1311yescharacteristic
705C22×C13—24no—
706C22×C13—24no—
707C22×C13—24no—
708C22×C13—42no—
709C22×C13—42no—
710C22×C13—42no—
711C22×C13—42no—
712C22×C13—42no—
713C22×C13—42no—
714C22×C13—42no—
715C22×C13—42no—
716C22×C13—42no—
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—81no—
742C22×C13—81no—
743C22×C13—81no—
744C22×C13—81no—
745C22×C13—81no—
746C22×C13—81no—
747C22×C13—81no—
748C22×C13—81no—
749C22×C13—81no—
750C22×C13—81no—
751C22×C13—81no—
752C22×C13—81no—
753C22×C13—81no—
754C22×C13—81no—
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×C13C2×#12011yescharacteristic
766C22×C13C2×#12111yescharacteristic
767C22×C13C2×#12111yescharacteristic
768C22×C13#52511yescharacteristic
769C22×C13#52511yescharacteristic
770C22×C13C2×#12711yescharacteristic
771C22×C13#53411yescharacteristic
772C22×C13#53511yescharacteristic
773C22×C13#53511yescharacteristic
774C22×C13#53711yescharacteristic
775C22×C13#53711yescharacteristic
776C22×C13#53711yescharacteristic
777C22×C13#53811yescharacteristic
778C22×C13#53811yescharacteristic
779C22×C13#53811yescharacteristic
780C22×C13D4211yescharacteristic
781C22×C13D4211yescharacteristic
782C22×C13D4211yescharacteristic
783C22×C13D4211yescharacteristic
784C22×C13D4211yescharacteristic
785C22×C13D4211yescharacteristic
786C22×C13D4211yescharacteristic
787C22×C13#54611yescharacteristic
788C22×C13#54611yescharacteristic
789C22×C13#54611yescharacteristic
790C22×C13#54611yescharacteristic
791C22×C13#54611yescharacteristic
792C22×C13#54711yescharacteristic
793C22×C13#54811yescharacteristic
794C22×C13#54811yescharacteristic
795C22×C13#55011yescharacteristic
796C22×C13#55011yescharacteristic
797C22×C13#55311yescharacteristic
798C22×C13#56011yescharacteristic
799C22×C13#56211yescharacteristic
800C4×C13—24no—
801C4×C13—24no—
802C4×C13—24no—
803C4×C13—42no—
804C4×C13—42no—
805C4×C13—42no—
806C4×C13—42no—
807C4×C13—42no—
808C4×C13—42no—
809C4×C13—81no—
810C4×C13—81no—
811C25C23×C1311yescharacteristic
812C25C23×C1311yescharacteristic
813C25C23×C1311yescharacteristic
814C25C23×C1311yescharacteristic
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
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—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C22×D4—41no—
852C22×D4—41no—
853C22×D4—41no—
854C22×D4—41no—
855C22×D4—41no—
856C22×D4D4×C1314yescomplemented
857C23×C4—22no—
858C23×C4—22no—
859C23×C4—22no—
860C23×C4—22no—
861C23×C4—22no—
862C23×C4—41no—
863C23×C4—41no—
864C23×C4C23×C1311yescharacteristic
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
875#121—232no—
876C2×C4⋊C4—22no—
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—22no—
885C2×C4⋊C4—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4D4×C1314yescomplemented
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⋊C4D4×C1314yescomplemented
932C2×C22⋊C4D4×C1314yescomplemented
933C2×C42—22no—
934C2×C42—22no—
935C2×C42—41no—
936#95—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—41no—
942#95D4×C1314yescomplemented
943#95D4×C1314yescomplemented
944C2×C13—44no—
945C2×C13—82no—
946C2×C13—82no—
947C2×C13—82no—
948C2×C13#240711yescharacteristic
949C2×C13#241011yescharacteristic
950C2×C13#241611yescharacteristic
951C2×C13#242411yescharacteristic
952C2×C13#242411yescharacteristic
953C2×C13#243311yescharacteristic
954C2×C13#245611yescharacteristic
955C2×C13#254011yescharacteristic
956C2×C13#254111yescharacteristic
957C2×C13#267511yescharacteristic
958C2×C13#267611yescharacteristic
959C2×C13#267611yescharacteristic
960C2×C13#267811yescharacteristic
961C2×C13#268211yescharacteristic
962C2×C13#271411yescharacteristic
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—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24C2×D4×C1312yes—
1018C24C2×D4×C1312yes—
1019C24C2×D4×C1312yes—
1020C24C2×D4×C1312yes—
1021C24C13×#4112yes—
1022C24C13×#4112yes—
1023C24C24×C1311yescharacteristic
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
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—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
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—28no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4C2×D4×C1312yes—
1136C22×C4C2×D4×C1312yes—
1137C22×C4C2×D4×C1312yes—
1138C22×C4C2×D4×C1312yes—
1139C22×C4C2×D4×C1312yes—
1140C22×C4C2×D4×C1312yes—
1141C22×C4C2×D4×C1312yes—
1142C22×C4C2×D4×C1312yes—
1143C22×C4C2×D4×C1312yes—
1144C22×C4C2×D4×C1312yes—
1145C22×C4C2×D4×C1312yes—
1146C22×C4C2×D4×C1312yes—
1147C22×C4C2×D4×C1312yes—
1148C22×C4C2×D4×C1312yes—
1149C22×C4C13×#4112yes—
1150C4⋊C4—28no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—44no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C42—44no—
1170C13#1531511yescharacteristic, direct product factor, Sylow
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—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
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—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23C13×#12114yes—
1311C23C22×D4×C1311yescharacteristic
1312C23C22×D4×C1311yescharacteristic
1313C23C22×D4×C1311yescharacteristic
1314C23C22×D4×C1311yescharacteristic
1315C23C22×D4×C1311yescharacteristic
1316C23C22×D4×C1311yescharacteristic
1317C23C2×C13×#4111yescharacteristic
1318C23C2×C13×#4111yescharacteristic
1319C23C2×C13×#4111yescharacteristic
1320C23C13×H(5,𝔽2)11yescharacteristic
1321C23C13×H(5,𝔽2)11yescharacteristic
1322C23C13×H(5,𝔽2)11yescharacteristic
1323C23C13×H(5,𝔽2)11yescharacteristic
1324C23C13×H(5,𝔽2)11yescharacteristic
1325C23C13×2−1+411yescharacteristic
1326D4—416no—
1327D4—416no—
1328D4—416no—
1329D4—416no—
1330D4—416no—
1331D4—416no—
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—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—416no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4C13×#12014yes—
1408C2×C4C13×#12114yescomplemented
1409C2×C4C13×#12714yes—
1410C22—24no—
1411C22—24no—
1412C22—24no—
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—81no—
1447C22—81no—
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—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22C2×C13×#12011yescharacteristic
1471C22C2×C13×#12111yescharacteristic
1472C22C2×C13×#12111yescharacteristic
1473C22C13×#52511yescharacteristic
1474C22C13×#52511yescharacteristic
1475C22C2×C13×#12711yescharacteristic
1476C22C13×#53411yescharacteristic
1477C22C13×#53511yescharacteristic
1478C22C13×#53511yescharacteristic
1479C22C13×#53711yescharacteristic
1480C22C13×#53711yescharacteristic
1481C22C13×#53711yescharacteristic
1482C22C13×#53811yescharacteristic
1483C22C13×#53811yescharacteristic
1484C22C13×#53811yescharacteristic
1485C22D42×C1311yescharacteristic
1486C22D42×C1311yescharacteristic
1487C22D42×C1311yescharacteristic
1488C22D42×C1311yescharacteristic
1489C22D42×C1311yescharacteristic
1490C22D42×C1311yescharacteristic
1491C22D42×C1311yescharacteristic
1492C22C13×#54611yescharacteristic
1493C22C13×#54611yescharacteristic
1494C22C13×#54611yescharacteristic
1495C22C13×#54611yescharacteristic
1496C22C13×#54611yescharacteristic
1497C22C13×#54711yescharacteristic
1498C22C13×#54811yescharacteristic
1499C22C13×#54811yescharacteristic
1500C22C13×#55011yescharacteristic
1501C22C13×#55011yescharacteristic
1502C22C13×#55311yescharacteristic
1503C22C13×#56011yescharacteristic
1504C22C13×#56211yescharacteristic
1505C4—24no—
1506C4—24no—
1507C4—24no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—81no—
1515C4—81no—
1516C2—44no—
1517C2—82no—
1518C2—82no—
1519C2—82no—
1520C2C13×#240711yescharacteristic
1521C2C13×#241011yescharacteristic
1522C2C13×#241611yescharacteristic
1523C2C13×#242411yescharacteristic
1524C2C13×#242411yescharacteristic
1525C2C13×#243311yescharacteristic
1526C2C13×#245611yescharacteristic
1527C2C13×#254011yescharacteristic
1528C2C13×#254111yescharacteristic
1529C2C13×#267511yescharacteristic
1530C2C13×#267611yescharacteristic
1531C2C13×#267611yescharacteristic
1532C2C13×#267811yescharacteristic
1533C2C13×#268211yescharacteristic
1534C2C13×#271411yescharacteristic
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. C2×C13×#396C2semidirect
3. C2×C13×#394C2semidirect
4. C2×C13×#392C2semidirect
5. C2×C13×#392C2semidirect
6. C2×C13×#392C2semidirect
7. C2×C13×#390C2semidirect
8. C2×C13×#390C2semidirect
9. C2×C13×#386C2semidirect
10. C2×C13×#385C2semidirect
11. C13×#1439C2semidirect
12. C13×#1439C2semidirect
13. C13×#1438C2semidirect
14. C13×#1438C2semidirect
15. C13×#1436C2semidirect
108. C22×D4×C13D4semidirect
139. C2×C13×C4⋊C4D4semidirect
183. C2×C13×C22⋊C4D4semidirect
184. C2×C13×C22⋊C4D4semidirect
194. C13×#95D4semidirect
195. C13×#95D4semidirect
196. #15315C13direct (N × H)
404. C22×#121C2×C13semidirect
405. C2×#396C2×C13semidirect
406. C2×#394C2×C13semidirect
407. C2×#392C2×C13semidirect
408. C2×#392C2×C13semidirect
409. C2×#392C2×C13semidirect
410. C2×#390C2×C13semidirect
411. C2×#390C2×C13semidirect
412. C2×#386C2×C13semidirect
413. C2×#385C2×C13semidirect
414. #1439C2×C13semidirect
415. #1439C2×C13semidirect
416. #1438C2×C13semidirect
417. #1438C2×C13semidirect
418. #1436C2×C13semidirect
656. C2×C4×C13#121semidirect
856. C22×D4D4×C13semidirect
887. C2×C4⋊C4D4×C13semidirect
931. C2×C22⋊C4D4×C13semidirect
932. C2×C22⋊C4D4×C13semidirect
942. #95D4×C13semidirect
943. #95D4×C13semidirect
1170. C13#15315direct (N × H)
1408. 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×#3962
C2×C13×#3942
C2×C13×#3922
C2×C13×#3902
C2×C13×#3862
C2×C13×#3852
C13×#14392
C13×#14382
C13×#14362
#1531513