Finite Group Databasebeta

← C13×#15273 #15701612

Subgroups — C13×#15273 #15701612

Order 3328.

2946 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#121C211yesmaximal, characteristic, complemented
2C2×C13×#392C211yesmaximal, characteristic, complemented
3C2×C13×#392C211yesmaximal, characteristic, complemented
4C2×C13×#392C211yesmaximal, characteristic, complemented
5C2×C13×#386C211yesmaximal, characteristic, complemented
6C2×C13×#386C211yesmaximal, characteristic, complemented
7C2×C13×#386C211yesmaximal, characteristic, complemented
8C2×C13×#386C211yesmaximal, characteristic, complemented
9C13×#1442C211yesmaximal, characteristic, complemented
10C13×#1440C211yesmaximal, characteristic, complemented
11C13×#1440C211yesmaximal, characteristic, complemented
12C13×#1439C211yesmaximal, 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—
27C22×C13×C4⋊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
42C13×#392—24no—
43C13×#392—24no—
44C13×#392—24no—
45C13×#386—24no—
46C13×#386—24no—
47C13×#386—24no—
48C13×#386—24no—
49C2×C13×#95C2211yescharacteristic
50C2×C13×#95C2211yescharacteristic
51C2×C13×#95C2211yescharacteristic
52C2×C13×#95C2211yescharacteristic
53C2×C13×#95C2211yescharacteristic
54C2×C13×#95C2211yescharacteristic
55C2×C13×#95C2211yescharacteristic
56C2×C13×#95C2211yescharacteristic
57C2×C13×#95C2211yescharacteristic
58C2×C13×#95C2211yescharacteristic
59C2×C13×#95C2211yescharacteristic
60C2×C13×#95C2211yescharacteristic
61C25×C13C2311yescharacteristic
62C25×C13C2311yescharacteristic
63C25×C13C2311yescharacteristic
64C25×C13C2311yescharacteristic
65C22×D4×C13—22no—
66C22×D4×C13—22no—
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—41no—
92C22×D4×C13—41no—
93C22×D4×C13—41no—
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×C13D414yescomplemented
106C22×D4×C13D414yescomplemented
107C23×C4×C13—22no—
108C23×C4×C13—22no—
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—41no—
116C23×C4×C13—41no—
117C23×C4×C13—41no—
118C23×C4×C13—41no—
119C23×C4×C13—41no—
120C23×C4×C13—41no—
121C23×C4×C13C2311yescharacteristic
122C23×C4×C13C2311yescharacteristic
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
132C13×#121—232no—
133C2×C13×C4⋊C4—22no—
134C2×C13×C4⋊C4—22no—
135C2×C13×C4⋊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—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—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⋊C4—41no—
176C2×C13×C22⋊C4D414yescomplemented
177C2×C13×C22⋊C4D414yescomplemented
178C13×#95—22no—
179C13×#95—22no—
180C13×#95—22no—
181C13×#95—22no—
182C13×#95—22no—
183C13×#95—22no—
184C13×#95—22no—
185C13×#95—22no—
186C13×#95—22no—
187C13×#95—41no—
188C13×#95—41no—
189C13×#95D414yescomplemented
190#15273C1311yesmaximal, 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—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×C13C2×D412yes—
244C24×C13C2×D412yes—
245C24×C13C2×D412yes—
246C24×C13C2×D412yes—
247C24×C13C2×D412yes—
248C24×C13C2×D412yes—
249C24×C13#4112yes—
250C24×C13#4112yes—
251C24×C13C2411yescharacteristic
252C2×D4×C13—28no—
253C2×D4×C13—28no—
254C2×D4×C13—28no—
255C2×D4×C13—28no—
256C2×D4×C13—28no—
257C2×D4×C13—28no—
258C2×D4×C13—28no—
259C2×D4×C13—44no—
260C2×D4×C13—44no—
261C2×D4×C13—44no—
262C2×D4×C13—44no—
263C2×D4×C13—44no—
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—
294C22×C4×C13—21no—
295C22×C4×C13—21no—
296C22×C4×C13—21no—
297C22×C4×C13—21no—
298C22×C4×C13—28no—
299C22×C4×C13—21no—
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—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—44no—
362C22×C4×C13—44no—
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×C13—44no—
370C22×C4×C13—44no—
371C22×C4×C13—44no—
372C22×C4×C13—44no—
373C22×C4×C13—44no—
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—
384C22×C4×C13#4112yes—
385C13×C4⋊C4—28no—
386C13×C22⋊C4—28no—
387C13×C22⋊C4—28no—
388C13×C22⋊C4—44no—
389C13×C22⋊C4—44no—
390C13×C22⋊C4—44no—
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—
400C22×#121C2×C1311yescharacteristic, complemented
401C2×#392C2×C1311yescharacteristic, complemented
402C2×#392C2×C1311yescharacteristic, complemented
403C2×#392C2×C1311yescharacteristic, complemented
404C2×#386C2×C1311yescharacteristic, complemented
405C2×#386C2×C1311yescharacteristic, complemented
406C2×#386C2×C1311yescharacteristic, complemented
407C2×#386C2×C1311yescharacteristic, complemented
408#1442C2×C1311yescharacteristic, complemented
409#1440C2×C1311yescharacteristic, complemented
410#1440C2×C1311yescharacteristic, complemented
411#1439C2×C1311yescharacteristic, complemented
412#1438C2×C1311yescharacteristic, complemented
413#1438C2×C1311yescharacteristic, complemented
414C22⋊#95C2×C1311yescharacteristic, complemented
415C23×C13—22no—
416C23×C13—22no—
417C23×C13—22no—
418C23×C13—22no—
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—22no—
459C23×C13—22no—
460C23×C13—22no—
461C23×C13—22no—
462C23×C13—22no—
463C23×C13—22no—
464C23×C13—22no—
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#12014yes—
554C23×C13#12114yes—
555C23×C13C22×D411yescharacteristic
556C23×C13C22×D411yescharacteristic
557C23×C13C22×D411yescharacteristic
558C23×C13C22×D411yescharacteristic
559C23×C13C22×D411yescharacteristic
560C23×C13C2×#4111yescharacteristic
561C23×C13C2×#4111yescharacteristic
562C23×C13C2×#4111yescharacteristic
563C23×C13C2×#4111yescharacteristic
564C23×C13H(5,𝔽2)11yescharacteristic
565C23×C13H(5,𝔽2)11yescharacteristic
566C23×C13H(5,𝔽2)11yescharacteristic
567C23×C13H(5,𝔽2)11yescharacteristic
568C23×C13H(5,𝔽2)11yescharacteristic
569C23×C13H(5,𝔽2)11yescharacteristic
570D4×C13—416no—
571D4×C13—416no—
572D4×C13—416no—
573D4×C13—416no—
574D4×C13—416no—
575D4×C13—416no—
576C2×C4×C13—22no—
577C2×C4×C13—22no—
578C2×C4×C13—22no—
579C2×C4×C13—22no—
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—416no—
607C2×C4×C13—416no—
608C2×C4×C13—41no—
609C2×C4×C13—41no—
610C2×C4×C13—41no—
611C2×C4×C13—41no—
612C2×C4×C13—41no—
613C2×C4×C13—41no—
614C2×C4×C13—41no—
615C2×C4×C13—41no—
616C2×C4×C13—41no—
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#12114yes—
655C23×D4C22×C1311yescharacteristic
656C23×D4C22×C1311yescharacteristic
657C23×D4C22×C1311yescharacteristic
658C23×D4C22×C1311yescharacteristic
659C23×D4C22×C1311yescharacteristic
660C23×D4C22×C1311yescharacteristic
661C24×C4C22×C1311yescharacteristic
662C24×C4C22×C1311yescharacteristic
663C2×#121—24no—
664C2×#121—24no—
665C2×#121—24no—
666C22×C4⋊C4C22×C1311yescharacteristic
667C22×C22⋊C4C22×C1311yescharacteristic
668C22×C22⋊C4C22×C1311yescharacteristic
669C22×C22⋊C4C22×C1311yescharacteristic
670C22×C22⋊C4C22×C1311yescharacteristic
671C22×C22⋊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
681#392—24no—
682#392—24no—
683#392—24no—
684#386—24no—
685#386—24no—
686#386—24no—
687#386—24no—
688C2×#95C22×C1311yescharacteristic
689C2×#95C22×C1311yescharacteristic
690C2×#95C22×C1311yescharacteristic
691C2×#95C22×C1311yescharacteristic
692C2×#95C22×C1311yescharacteristic
693C2×#95C22×C1311yescharacteristic
694C2×#95C22×C1311yescharacteristic
695C2×#95C22×C1311yescharacteristic
696C2×#95C22×C1311yescharacteristic
697C2×#95C22×C1311yescharacteristic
698C2×#95C22×C1311yescharacteristic
699C2×#95C22×C1311yescharacteristic
700C22×C13—24no—
701C22×C13—24no—
702C22×C13—24no—
703C22×C13—24no—
704C22×C13—24no—
705C22×C13—24no—
706C22×C13—42no—
707C22×C13—42no—
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—42no—
742C22×C13—42no—
743C22×C13—42no—
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×C13C2×#12011yescharacteristic
761C22×C13C2×#12111yescharacteristic
762C22×C13C2×#12111yescharacteristic
763C22×C13#52511yescharacteristic
764C22×C13#52511yescharacteristic
765C22×C13#53211yescharacteristic
766C22×C13#53411yescharacteristic
767C22×C13#53411yescharacteristic
768C22×C13#53411yescharacteristic
769C22×C13#53511yescharacteristic
770C22×C13#53511yescharacteristic
771C22×C13#53811yescharacteristic
772C22×C13#53811yescharacteristic
773C22×C13#54011yescharacteristic
774C22×C13#54011yescharacteristic
775C22×C13D4211yescharacteristic
776C22×C13D4211yescharacteristic
777C22×C13D4211yescharacteristic
778C22×C13D4211yescharacteristic
779C22×C13D4211yescharacteristic
780C22×C13#54611yescharacteristic
781C22×C13#54611yescharacteristic
782C22×C13#54611yescharacteristic
783C22×C13#54611yescharacteristic
784C22×C13#54611yescharacteristic
785C22×C13#54611yescharacteristic
786C22×C13#54611yescharacteristic
787C22×C13#54611yescharacteristic
788C22×C13#54611yescharacteristic
789C22×C13#55011yescharacteristic
790C22×C13#55311yescharacteristic
791C22×C13#55311yescharacteristic
792C22×C13#55311yescharacteristic
793C22×C13#56011yescharacteristic
794C22×C13#56011yescharacteristic
795C4×C13—24no—
796C4×C13—42no—
797C4×C13—42no—
798C4×C13—42no—
799C4×C13—42no—
800C4×C13—42no—
801C4×C13—42no—
802C4×C13—42no—
803C4×C13—42no—
804C4×C13—81no—
805C4×C13—81no—
806C25C23×C1311yescharacteristic
807C25C23×C1311yescharacteristic
808C25C23×C1311yescharacteristic
809C25C23×C1311yescharacteristic
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
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—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
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×D4D4×C1314yescomplemented
851C22×D4D4×C1314yescomplemented
852C23×C4—22no—
853C23×C4—22no—
854C23×C4—22no—
855C23×C4—22no—
856C23×C4—22no—
857C23×C4—22no—
858C23×C4—22no—
859C23×C4—22no—
860C23×C4—41no—
861C23×C4—41no—
862C23×C4—41no—
863C23×C4—41no—
864C23×C4—41no—
865C23×C4—41no—
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
876C23×C4C23×C1311yescharacteristic
877#121—232no—
878C2×C4⋊C4—22no—
879C2×C4⋊C4—22no—
880C2×C4⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
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—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4D4×C1314yescomplemented
922C2×C22⋊C4D4×C1314yescomplemented
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—41no—
933#95—41no—
934#95D4×C1314yescomplemented
935C2×C13—44no—
936C2×C13—44no—
937C2×C13—82no—
938C2×C13—82no—
939C2×C13#240411yescharacteristic
940C2×C13#241011yescharacteristic
941C2×C13#241011yescharacteristic
942C2×C13#242411yescharacteristic
943C2×C13#242811yescharacteristic
944C2×C13#245611yescharacteristic
945C2×C13#246411yescharacteristic
946C2×C13#253511yescharacteristic
947C2×C13#254311yescharacteristic
948C2×C13#266811yescharacteristic
949C2×C13#266911yescharacteristic
950C2×C13#267311yescharacteristic
951C2×C13#268811yescharacteristic
952C2×C13#268811yescharacteristic
953C2×C13#270311yescharacteristic
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24C2×D4×C1312yes—
1007C24C2×D4×C1312yes—
1008C24C2×D4×C1312yes—
1009C24C2×D4×C1312yes—
1010C24C2×D4×C1312yes—
1011C24C2×D4×C1312yes—
1012C24C13×#4112yes—
1013C24C13×#4112yes—
1014C24C24×C1311yescharacteristic
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—28no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×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×C4C13×#4112yes—
1147C22×C4C13×#4112yes—
1148C4⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—44no—
1152C22⋊C4—44no—
1153C22⋊C4—44no—
1154C22⋊C4—44no—
1155C22⋊C4—44no—
1156C22⋊C4—44no—
1157C22⋊C4—44no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C13#1527311yescharacteristic, direct product factor, Sylow
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—22no—
1198C23—22no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—22no—
1203C23—22no—
1204C23—22no—
1205C23—22no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23C13×#12014yes—
1303C23C13×#12114yes—
1304C23C22×D4×C1311yescharacteristic
1305C23C22×D4×C1311yescharacteristic
1306C23C22×D4×C1311yescharacteristic
1307C23C22×D4×C1311yescharacteristic
1308C23C22×D4×C1311yescharacteristic
1309C23C2×C13×#4111yescharacteristic
1310C23C2×C13×#4111yescharacteristic
1311C23C2×C13×#4111yescharacteristic
1312C23C2×C13×#4111yescharacteristic
1313C23C13×H(5,𝔽2)11yescharacteristic
1314C23C13×H(5,𝔽2)11yescharacteristic
1315C23C13×H(5,𝔽2)11yescharacteristic
1316C23C13×H(5,𝔽2)11yescharacteristic
1317C23C13×H(5,𝔽2)11yescharacteristic
1318C23C13×H(5,𝔽2)11yescharacteristic
1319D4—416no—
1320D4—416no—
1321D4—416no—
1322D4—416no—
1323D4—416no—
1324D4—416no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—416no—
1356C2×C4—416no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4C13×#12114yes—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—24no—
1409C22—24no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22C2×C13×#12011yescharacteristic
1465C22C2×C13×#12111yescharacteristic
1466C22C2×C13×#12111yescharacteristic
1467C22C13×#52511yescharacteristic
1468C22C13×#52511yescharacteristic
1469C22C13×#53211yescharacteristic
1470C22C13×#53411yescharacteristic
1471C22C13×#53411yescharacteristic
1472C22C13×#53411yescharacteristic
1473C22C13×#53511yescharacteristic
1474C22C13×#53511yescharacteristic
1475C22C13×#53811yescharacteristic
1476C22C13×#53811yescharacteristic
1477C22C13×#54011yescharacteristic
1478C22C13×#54011yescharacteristic
1479C22D42×C1311yescharacteristic
1480C22D42×C1311yescharacteristic
1481C22D42×C1311yescharacteristic
1482C22D42×C1311yescharacteristic
1483C22D42×C1311yescharacteristic
1484C22C13×#54611yescharacteristic
1485C22C13×#54611yescharacteristic
1486C22C13×#54611yescharacteristic
1487C22C13×#54611yescharacteristic
1488C22C13×#54611yescharacteristic
1489C22C13×#54611yescharacteristic
1490C22C13×#54611yescharacteristic
1491C22C13×#54611yescharacteristic
1492C22C13×#54611yescharacteristic
1493C22C13×#55011yescharacteristic
1494C22C13×#55311yescharacteristic
1495C22C13×#55311yescharacteristic
1496C22C13×#55311yescharacteristic
1497C22C13×#56011yescharacteristic
1498C22C13×#56011yescharacteristic
1499C4—24no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—81no—
1509C4—81no—
1510C2—44no—
1511C2—44no—
1512C2—82no—
1513C2—82no—
1514C2C13×#240411yescharacteristic
1515C2C13×#241011yescharacteristic
1516C2C13×#241011yescharacteristic
1517C2C13×#242411yescharacteristic
1518C2C13×#242811yescharacteristic
1519C2C13×#245611yescharacteristic
1520C2C13×#246411yescharacteristic
1521C2C13×#253511yescharacteristic
1522C2C13×#254311yescharacteristic
1523C2C13×#266811yescharacteristic
1524C2C13×#266911yescharacteristic
1525C2C13×#267311yescharacteristic
1526C2C13×#268811yescharacteristic
1527C2C13×#268811yescharacteristic
1528C2C13×#270311yescharacteristic
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×#392C2semidirect
3. C2×C13×#392C2semidirect
4. C2×C13×#392C2semidirect
5. C2×C13×#386C2semidirect
6. C2×C13×#386C2semidirect
7. C2×C13×#386C2semidirect
8. C2×C13×#386C2semidirect
9. C13×#1442C2semidirect
10. C13×#1440C2semidirect
11. C13×#1440C2semidirect
12. C13×#1439C2semidirect
13. C13×#1438C2semidirect
14. C13×#1438C2semidirect
15. C13×C22⋊#95C2semidirect
105. C22×D4×C13D4semidirect
106. C22×D4×C13D4semidirect
176. C2×C13×C22⋊C4D4semidirect
177. C2×C13×C22⋊C4D4semidirect
189. C13×#95D4semidirect
190. #15273C13direct (N × H)
400. C22×#121C2×C13semidirect
401. C2×#392C2×C13semidirect
402. C2×#392C2×C13semidirect
403. C2×#392C2×C13semidirect
404. C2×#386C2×C13semidirect
405. C2×#386C2×C13semidirect
406. C2×#386C2×C13semidirect
407. C2×#386C2×C13semidirect
408. #1442C2×C13semidirect
409. #1440C2×C13semidirect
410. #1440C2×C13semidirect
411. #1439C2×C13semidirect
412. #1438C2×C13semidirect
413. #1438C2×C13semidirect
414. C22⋊#95C2×C13semidirect
850. C22×D4D4×C13semidirect
851. C22×D4D4×C13semidirect
921. C2×C22⋊C4D4×C13semidirect
922. C2×C22⋊C4D4×C13semidirect
934. #95D4×C13semidirect
1163. C13#15273direct (N × H)

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×#3922
C2×C13×#3862
C13×#14422
C13×#14402
C13×#14392
C13×#14382
C13×C22⋊#952
#1527313