Finite Group Databasebeta

← C13×#61977 #15748316

Subgroups — C13×#61977 #15748316

Order 3328.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3508C211yesmaximal, characteristic, complemented
2C13×#3481C211yesmaximal, characteristic, complemented
3C13×#3403C212yesmaximal, complemented
4C13×#3370C212yesmaximal, complemented
5C13×#3314C212yesmaximal, complemented
6C13×#3309C212yesmaximal, complemented
7C13×#3297C212yesmaximal, complemented
8C13×#3280C212yesmaximal, complemented
9C13×#3268C212yesmaximal, complemented
10C13×#3264C212yesmaximal, complemented
11C13×#3251C211yesmaximal, characteristic, complemented
12C13×#3248C211yesmaximal, characteristic, complemented
13C13×#3245C211yesmaximal, characteristic, complemented
14C13×#3217C211yesmaximal, characteristic, complemented
15C13×#3214C211yesmaximal, characteristic, complemented
16C13×#3212C211yesmaximal, characteristic, complemented
17C13×#3115C211yesmaximal, characteristic, complemented
18C13×#3110C211yesmaximal, characteristic, complemented
19C13×#3100C211yesmaximal, characteristic, complemented
20C13×#3036C211yesmaximal, characteristic, complemented
21C13×#3035C211yesmaximal, characteristic, complemented
22C2×C13×#459C211yesmaximal, characteristic, complemented
23C13×#2990C211yesmaximal, characteristic, complemented
24C2×C13×AGL(1,ℤ/8)C2212yescomplemented
25C2×C13×#135C2212yescomplemented
26C22×C13×D8C2212yes—
27C13×#559—21no—
28C13×#559C2212yescomplemented
29C13×#559C2211yescharacteristic, complemented
30C13×#554C2211yescharacteristic
31C13×#554C2211yescharacteristic, complemented
32C13×#553—21no—
33C13×#553C2211yescharacteristic
34C13×#553C2211yescharacteristic, complemented
35C13×#551—21no—
36C13×#551—21no—
37C13×#550—21no—
38C13×#550C2212yescomplemented
39C13×#546—21no—
40C13×#546—21no—
41C13×#546—21no—
42C13×#546C2212yes—
43C13×#546C2211yescharacteristic
44C13×#546C2211yescharacteristic, complemented
45C13×#546C2212yescomplemented
46D42×C13C2211yescharacteristic
47C13×#540—21no—
48C13×#540—21no—
49C13×#535—21no—
50C13×#533C2211yescharacteristic, complemented
51C13×#532C2211yescharacteristic, complemented
52C13×#532C2211yescharacteristic, complemented
53C13×#532C2211yescharacteristic, complemented
54C13×#532C2211yescharacteristic, complemented
55C13×#532C2211yescharacteristic, complemented
56C2×C13×#127C2211yescharacteristic, complemented
57C13×#529—21no—
58C13×#529C2211yescharacteristic
59C13×#529C2211yescharacteristic, complemented
60C13×#525—21no—
61C13×#525—21no—
62C13×#518—21no—
63C4×C13×#41C2211yescharacteristic
64C4×C13×#41C2211yescharacteristic, complemented
65C2×C4×D4×C13—21no—
66C2×C4×D4×C13C2211yescharacteristic
67C2×C4×D4×C13C2211yescharacteristic, complemented
68C13×#496C2212yescomplemented
69C13×#496C2212yescomplemented
70C13×#495C2212yescomplemented
71C13×#490C2212yescomplemented
72C13×#489C2212yescomplemented
73C13×#488C2212yescomplemented
74C13×#484C2212yescomplemented
75C13×#482C2212yescomplemented
76C13×#480C2212yescomplemented
77C13×#479C2212yescomplemented
78C13×#478C2212yescomplemented
79C13×#475C2211yescharacteristic, complemented
80C13×#474C2212yescomplemented
81C13×#474C2211yescharacteristic, complemented
82C13×#474C2211yescharacteristic, complemented
83C13×#474C2211yescharacteristic, complemented
84C13×#469C2212yescomplemented
85C13×#468C2212yescomplemented
86C13×#467C2212yescomplemented
87C13×#466C2212yescomplemented
88C13×#466C2212yescomplemented
89C13×#465C2212yes—
90C13×#464C2212yescomplemented
91C13×#464C2212yescomplemented
92C13×#463C2212yescomplemented
93C13×#463C2212yescomplemented
94C13×#463C2212yescomplemented
95C13×#463C2212yescomplemented
96C13×#462C2211yescharacteristic, complemented
97C13×#461C2211yescharacteristic, complemented
98C13×#461C2211yescharacteristic, complemented
99C13×#461C2211yescharacteristic, complemented
100C13×#460C2211yescharacteristic, complemented
101C13×#460C2211yescharacteristic, complemented
102C13×#459C2212yes—
103C13×#459C2211yescharacteristic
104C13×#459C2211yescharacteristic
105C13×#459C2212yescomplemented
106C13×#459C2212yescomplemented
107C13×#459C2211yescharacteristic, complemented
108C13×#459C2211yescharacteristic, complemented
109C13×#459C2211yescharacteristic, complemented
110C13×#459C2211yescharacteristic, complemented
111C13×#452C2212yescomplemented
112C13×#450C2212yes—
113C13×#450C2212yescomplemented
114C13×#449C2212yescomplemented
115C13×#449C2212yescomplemented
116C13×#449C2212yescomplemented
117C13×#449C2212yescomplemented
118C13×#447C2212yes—
119C13×#447C2212yescomplemented
120C13×#446C2212yescomplemented
121C13×#442C2212yescomplemented
122C13×#440C2212yescomplemented
123C13×#440C2212yescomplemented
124C13×#440C2212yescomplemented
125C4×C13×D8C2212yescomplemented
126C4×C13×D8C2212yescomplemented
127C13×#435C2212yes—
128C13×#435C2212yescomplemented
129C8×D4×C13C2212yescomplemented
130C13×#432C2211yescharacteristic, complemented
131C13×#432C2211yescharacteristic, complemented
132C13×#431C2211yescharacteristic, complemented
133C13×#423C2211yescharacteristic, complemented
134C2×C13×C4⋊C8C2211yescharacteristic, complemented
135C2×C13×C4⋊C8C2211yescharacteristic, complemented
136C13×#417C2212yescomplemented
137C13×#416C2212yescomplemented
138C2×C13×#102C2212yescomplemented
139C2×C13×#41—21no—
140C2×C13×#41—21no—
141C2×C13×#41—21no—
142C2×C13×#41D411yescharacteristic
143C2×C13×#41C2311yescharacteristic
144C2×C13×#41C2312yes—
145C2×C13×#41C2312yes—
146C22×D4×C13—21no—
147C22×D4×C13—21no—
148C22×D4×C13—21no—
149C22×D4×C13C2311yescharacteristic
150C22×D4×C13C2311yescharacteristic
151C22×D4×C13C2312yes—
152C23×C4×C13—21no—
153C23×C4×C13—21no—
154C13×AGL(1,ℤ/8)—44no—
155C13×#135—44no—
156C2×C13×Q16C2312yes—
157C2×C13×SD16C2312yes—
158C2×C13×SD16C2312yes—
159C2×C13×SD16C2312yes—
160C2×C13×SD16C2312yes—
161C2×C13×SD16C2312yes—
162C2×C13×D8—44no—
163C2×C13×D8C2312yes—
164C2×C13×D8C2312yes—
165C2×C13×D8C2312yes—
166C2×C13×D8C2312yes—
167C2×C13×D8C2312yes—
168C2×C13×D8C2312yes—
169C2×C13×M16C2312yes—
170C22×C8×C13C2312yes—
171C22×C8×C13C2312yes—
172C13×C4⋊Q8C2311yescharacteristic
173C13×C4⋊Q8C2311yescharacteristic
174C13×C4⋊Q8C2311yescharacteristic
175C13×#127—22no—
176C13×#127—21no—
177C13×#127—21no—
178C13×#127C2311yescharacteristic
179C13×#127C2311yescharacteristic
180C13×#127C2312yes—
181C13×#127C2311yescharacteristic
182C13×#126—21no—
183C13×#126—21no—
184C13×#126—21no—
185C13×#126—21no—
186C13×#125—21no—
187C13×#125—21no—
188C13×#125C2311yescharacteristic
189C13×#125C2311yescharacteristic
190C13×#124—21no—
191C13×#124—22no—
192C13×#124—21no—
193C13×#124—21no—
194C13×#124—21no—
195C13×#124C2312yes—
196C13×#124C2311yescharacteristic
197C13×#124C2312yes—
198C13×#124C2311yescharacteristic
199C13×#123—21no—
200C13×#123—21no—
201C13×#123—21no—
202C13×#123—21no—
203C13×#123—21no—
204C13×#123—21no—
205C13×#123—22no—
206C13×#123—22no—
207C13×#123—22no—
208C13×#123—22no—
209C13×#123—21no—
210C13×#123—21no—
211C13×C22⋊Q8—21no—
212C13×C22⋊Q8—21no—
213C13×C22⋊Q8—21no—
214C13×C22⋊Q8—21no—
215C13×C22⋊Q8—21no—
216C13×C22⋊Q8—21no—
217C13×C22⋊Q8C2312yes—
218C13×C22⋊Q8C2311yescharacteristic
219C13×C22⋊Q8C2311yescharacteristic
220C13×#121—21no—
221C13×#121—21no—
222C13×#121—21no—
223C13×#121—21no—
224C13×#121—21no—
225C13×#121—21no—
226C13×#121—21no—
227C13×#121—21no—
228C13×#121—21no—
229C13×#121—21no—
230C13×#121—21no—
231C13×#121—21no—
232C13×#121—22no—
233C13×#121—22no—
234C13×#121—22no—
235C13×#121—22no—
236C13×#121C2311yescharacteristic
237C13×#121C2312yes—
238C13×#121C2311yescharacteristic
239C13×#121C2311yescharacteristic
240C13×#121C2311yescharacteristic
241C13×#121C2312yes—
242C13×#120—21no—
243C13×#120—21no—
244C13×#120—22no—
245C13×#120—22no—
246C13×#120—21no—
247C13×#120—21no—
248C4×Q8×C13—21no—
249C4×Q8×C13D411yescharacteristic
250C4×Q8×C13C2311yescharacteristic
251C4×Q8×C13C2312yes—
252C4×Q8×C13C2311yescharacteristic
253C4×Q8×C13C2311yescharacteristic
254C4×D4×C13—21no—
255C4×D4×C13—21no—
256C4×D4×C13—21no—
257C4×D4×C13—21no—
258C4×D4×C13—21no—
259C4×D4×C13—21no—
260C4×D4×C13—22no—
261C4×D4×C13—22no—
262C4×D4×C13—21no—
263C4×D4×C13—21no—
264C4×D4×C13—21no—
265C4×D4×C13—21no—
266C4×D4×C13—21no—
267C4×D4×C13—21no—
268C4×D4×C13—21no—
269C4×D4×C13—21no—
270C4×D4×C13—21no—
271C4×D4×C13—21no—
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13D411yescharacteristic
276C4×D4×C13D411yescharacteristic
277C4×D4×C13D411yescharacteristic
278C4×D4×C13C2311yescharacteristic
279C4×D4×C13C2311yescharacteristic
280C4×D4×C13C2312yes—
281C4×D4×C13C2311yescharacteristic
282C4×D4×C13C2311yescharacteristic
283C4×D4×C13C2312yes—
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C4×D4×C13C2311yescharacteristic
287C4×D4×C13C2311yescharacteristic
288C4×D4×C13C2311yescharacteristic
289C4×D4×C13C2311yescharacteristic
290C4×D4×C13C2311yescharacteristic
291C13×#117—21no—
292C13×#117—21no—
293C13×#117—21no—
294C13×#117—21no—
295C13×#117D411yescharacteristic
296C13×#117D411yescharacteristic
297C13×#117D411yescharacteristic
298C13×#117C2311yescharacteristic
299C2×C13×C4⋊C4—21no—
300C2×C13×C4⋊C4C2311yescharacteristic
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C22⋊C4—21no—
303C2×C13×C22⋊C4—21no—
304C2×C13×C22⋊C4—21no—
305C2×C13×C22⋊C4—21no—
306C2×C13×C22⋊C4—22no—
307C2×C13×C22⋊C4—22no—
308C2×C42×C13—21no—
309C2×C42×C13C2311yescharacteristic
310C2×C42×C13C2311yescharacteristic
311C2×C42×C13C2311yescharacteristic
312C13×#107C2312yes—
313C13×#107C2312yes—
314C13×#107C2312yes—
315C13×#106C2312yes—
316C13×C4⋊C8C2311yescharacteristic
317C13×C4⋊C8C2311yescharacteristic
318C13×C4⋊C8C2311yescharacteristic
319C13×C4⋊C8C2312yes—
320C13×C4⋊C8C2312yes—
321C13×C4⋊C8C2312yes—
322C13×C4⋊C8C2311yescharacteristic
323C13×#103C2312yes—
324C13×#103C2312yes—
325C13×#103C2312yes—
326C13×#103C2312yes—
327C13×#103C2312yes—
328C13×#102C2312yes—
329C13×#102C2312yes—
330C13×#102C2312yes—
331C13×#102C2312yes—
332C13×#102C2312yes—
333C13×#102C2312yes—
334C13×#102C2312yes—
335C13×#102C2312yes—
336C13×#102C2312yes—
337C13×#102C2312yes—
338C13×#102C2312yes—
339C13×C22⋊C8C2312yes—
340C13×C22⋊C8C2312yes—
341C13×C22⋊C8C2312yes—
342C13×#97C2312yes—
343C13×#97C2312yes—
344C4×C8×C13C2312yes—
345#61977C1311yesmaximal, characteristic, direct product factor, Sylow
346C24×C13—21no—
347C24×C13—21no—
348C24×C13—22no—
349C13×#41—22no—
350C13×#41—42no—
351C13×#41—41no—
352C13×#41—42no—
353C13×#41—42no—
354C13×#41—42no—
355C13×#41—42no—
356C13×#41—82no—
357C13×#41—82no—
358C13×#41—82no—
359C2×Q8×C13—21no—
360C2×Q8×C13—21no—
361C2×Q8×C13C2×D411yescharacteristic
362C2×Q8×C13C2412yes—
363C2×Q8×C13C2411yescharacteristic
364C2×D4×C13—22no—
365C2×D4×C13—22no—
366C2×D4×C13—21no—
367C2×D4×C13—21no—
368C2×D4×C13—21no—
369C2×D4×C13—22no—
370C2×D4×C13—22no—
371C2×D4×C13—21no—
372C2×D4×C13—21no—
373C2×D4×C13—22no—
374C2×D4×C13—22no—
375C2×D4×C13—21no—
376C2×D4×C13—21no—
377C2×D4×C13—21no—
378C2×D4×C13—21no—
379C2×D4×C13—21no—
380C2×D4×C13—22no—
381C2×D4×C13—21no—
382C2×D4×C13—21no—
383C2×D4×C13—21no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—42no—
389C2×D4×C13—42no—
390C2×D4×C13—44no—
391C2×D4×C13—44no—
392C2×D4×C13—82no—
393C2×D4×C13C2×D411yescharacteristic
394C2×D4×C13C2×D411yescharacteristic
395C2×D4×C13C2×D411yescharacteristic
396C2×D4×C13C2412yes—
397C2×D4×C13C2412yes—
398C2×D4×C13C2411yescharacteristic
399C2×D4×C13C2411yescharacteristic
400C2×D4×C13C2411yescharacteristic
401C22×C4×C13—21no—
402C22×C4×C13—21no—
403C22×C4×C13—21no—
404C22×C4×C13—21no—
405C22×C4×C13—21no—
406C22×C4×C13—21no—
407C22×C4×C13—21no—
408C22×C4×C13—21no—
409C22×C4×C13—21no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—21no—
415C22×C4×C13—21no—
416C22×C4×C13—82no—
417C22×C4×C13—82no—
418C22×C4×C13C2×D411yescharacteristic
419C22×C4×C13C2×D411yescharacteristic
420C22×C4×C13C2×D411yescharacteristic
421C22×C4×C13C2×D411yescharacteristic
422C22×C4×C13C2×D411yescharacteristic
423C22×C4×C13C2×D411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C13×Q16—42no—
428C13×SD16—24no—
429C13×SD16—42no—
430C13×SD16—42no—
431C13×SD16—42no—
432C13×SD16—42no—
433C13×D8—24no—
434C13×D8—24no—
435C13×D8—42no—
436C13×D8—42no—
437C13×D8—42no—
438C13×D8—42no—
439C13×M16—42no—
440C2×C8×C13—42no—
441C2×C8×C13—42no—
442C2×C8×C13C2412yes—
443C2×C8×C13C2412yes—
444C2×C8×C13C2412yes—
445C2×C8×C13C2412yes—
446C13×C4⋊C4—21no—
447C13×C4⋊C4—21no—
448C13×C4⋊C4—21no—
449C13×C4⋊C4—21no—
450C13×C4⋊C4—21no—
451C13×C4⋊C4—21no—
452C13×C4⋊C4—21no—
453C13×C4⋊C4—21no—
454C13×C4⋊C4—21no—
455C13×C4⋊C4—21no—
456C13×C4⋊C4—21no—
457C13×C4⋊C4—21no—
458C13×C4⋊C4—21no—
459C13×C4⋊C4—21no—
460C13×C4⋊C4—22no—
461C13×C4⋊C4—22no—
462C13×C4⋊C4C2×D411yescharacteristic
463C13×C4⋊C4C2×D411yescharacteristic
464C13×C4⋊C4C2×D411yescharacteristic
465C13×C4⋊C4C2×D411yescharacteristic
466C13×C4⋊C4C2×D411yescharacteristic
467C13×C4⋊C4C2×D411yescharacteristic
468C13×C4⋊C4C2411yescharacteristic
469C13×C4⋊C4C2411yescharacteristic
470C13×C4⋊C4C2411yescharacteristic
471C13×C4⋊C4C2411yescharacteristic
472C13×C4⋊C4C2412yes—
473C13×C22⋊C4—22no—
474C13×C22⋊C4—21no—
475C13×C22⋊C4—21no—
476C13×C22⋊C4—21no—
477C13×C22⋊C4—21no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—21no—
483C13×C22⋊C4—21no—
484C13×C22⋊C4—21no—
485C13×C22⋊C4—21no—
486C13×C22⋊C4—21no—
487C13×C22⋊C4—21no—
488C13×C22⋊C4—21no—
489C13×C22⋊C4—21no—
490C13×C22⋊C4—21no—
491C13×C22⋊C4—21no—
492C13×C22⋊C4—21no—
493C13×C22⋊C4—21no—
494C13×C22⋊C4—21no—
495C13×C22⋊C4—21no—
496C13×C22⋊C4—21no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4C2×D411yescharacteristic
502C13×C22⋊C4C2×D411yescharacteristic
503C13×C22⋊C4C2×D411yescharacteristic
504C13×C22⋊C4C2×D411yescharacteristic
505C13×C22⋊C4C2×D411yescharacteristic
506C13×C22⋊C4C2×D411yescharacteristic
507C42×C13—21no—
508C42×C13—21no—
509C42×C13—21no—
510C42×C13—22no—
511C42×C13C2×D411yescharacteristic
512C42×C13C2×D411yescharacteristic
513C42×C13C2×D411yescharacteristic
514C42×C13C2×D411yescharacteristic
515C42×C13C2×D411yescharacteristic
516C42×C13C2×D411yescharacteristic
517C42×C13C2411yescharacteristic
518C42×C13C2411yescharacteristic
519C42×C13C2411yescharacteristic
520C42×C13C2411yescharacteristic
521#3508C2×C1311yescharacteristic, complemented
522#3481C2×C1311yescharacteristic, complemented
523#3403C2×C1312yescomplemented
524#3370C2×C1312yescomplemented
525#3314C2×C1312yescomplemented
526#3309C2×C1312yescomplemented
527#3297C2×C1312yescomplemented
528#3280C2×C1312yescomplemented
529#3268C2×C1312yescomplemented
530#3264C2×C1312yescomplemented
531#3251C2×C1311yescharacteristic, complemented
532#3248C2×C1311yescharacteristic, complemented
533#3245C2×C1311yescharacteristic, complemented
534#3217C2×C1311yescharacteristic, complemented
535#3214C2×C1311yescharacteristic, complemented
536#3212C2×C1311yescharacteristic, complemented
537#3115C2×C1311yescharacteristic, complemented
538#3110C2×C1311yescharacteristic, complemented
539#3100C2×C1311yescharacteristic, complemented
540#3036C2×C1311yescharacteristic, complemented
541#3035C2×C1311yescharacteristic, complemented
542C2×#459C2×C1311yescharacteristic, complemented
543#2990C2×C1311yescharacteristic, complemented
544C23×C13—21no—
545C23×C13—21no—
546C23×C13—21no—
547C23×C13—22no—
548C23×C13—22no—
549C23×C13—42no—
550C23×C13—42no—
551C23×C13—42no—
552C23×C13—42no—
553C23×C13—44no—
554C23×C13—81no—
555C23×C13—81no—
556C23×C13—82no—
557C23×C13—82no—
558C23×C13C22×D411yescharacteristic
559C23×C13C22×D411yescharacteristic
560C23×C13C22×D411yescharacteristic
561Q8×C13—22no—
562Q8×C13—21no—
563Q8×C13—21no—
564Q8×C13—22no—
565Q8×C13—41no—
566Q8×C13—42no—
567Q8×C13—81no—
568D4×C13—22no—
569D4×C13—22no—
570D4×C13—22no—
571D4×C13—22no—
572D4×C13—21no—
573D4×C13—21no—
574D4×C13—21no—
575D4×C13—21no—
576D4×C13—22no—
577D4×C13—21no—
578D4×C13—22no—
579D4×C13—41no—
580D4×C13—42no—
581D4×C13—42no—
582D4×C13—42no—
583D4×C13—42no—
584D4×C13—44no—
585D4×C13—42no—
586D4×C13—42no—
587D4×C13—42no—
588D4×C13—42no—
589D4×C13—42no—
590D4×C13—42no—
591D4×C13—82no—
592D4×C13—82no—
593D4×C13—81no—
594D4×C13—82no—
595D4×C13—82no—
596D4×C13—81no—
597D4×C13—81no—
598D4×C13—82no—
599D4×C13—82no—
600D4×C13H(5,𝔽2)12yes—
601C2×C4×C13—22no—
602C2×C4×C13—22no—
603C2×C4×C13—22no—
604C2×C4×C13—22no—
605C2×C4×C13—21no—
606C2×C4×C13—21no—
607C2×C4×C13—21no—
608C2×C4×C13—21no—
609C2×C4×C13—21no—
610C2×C4×C13—21no—
611C2×C4×C13—21no—
612C2×C4×C13—21no—
613C2×C4×C13—21no—
614C2×C4×C13—22no—
615C2×C4×C13—22no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—41no—
619C2×C4×C13—41no—
620C2×C4×C13—42no—
621C2×C4×C13—42no—
622C2×C4×C13—42no—
623C2×C4×C13—42no—
624C2×C4×C13—42no—
625C2×C4×C13—81no—
626C2×C4×C13—81no—
627C2×C4×C13—81no—
628C2×C4×C13—81no—
629C2×C4×C13—82no—
630C2×C4×C13—82no—
631C2×C4×C13—82no—
632C2×C4×C13—82no—
633C2×C4×C13—81no—
634C2×C4×C13—81no—
635C2×C4×C13C22×D411yescharacteristic
636C2×C4×C13C22×D411yescharacteristic
637C2×C4×C13C22×D411yescharacteristic
638C2×C4×C13C22×D411yescharacteristic
639C2×C4×C13C22×D411yescharacteristic
640C2×C4×C13C22×D411yescharacteristic
641C2×C4×C13C22×D411yescharacteristic
642C2×C4×C13C22×D411yescharacteristic
643C2×C4×C13C22×D411yescharacteristic
644C2×C4×C13C22×D411yescharacteristic
645C2×C4×C13C22×D411yescharacteristic
646C2×C4×C13C2511yescharacteristic
647C8×C13—22no—
648C8×C13—22no—
649C8×C13—22no—
650C8×C13—22no—
651C2×AGL(1,ℤ/8)C22×C1312yescomplemented
652C2×#135C22×C1312yescomplemented
653C22×D8C22×C1312yes—
654#559—21no—
655#559C22×C1312yescomplemented
656#559C22×C1311yescharacteristic, complemented
657#554C22×C1311yescharacteristic
658#554C22×C1311yescharacteristic, complemented
659#553—21no—
660#553C22×C1311yescharacteristic
661#553C22×C1311yescharacteristic, complemented
662#551—21no—
663#551—21no—
664#550—21no—
665#550C22×C1312yescomplemented
666#546—21no—
667#546—21no—
668#546—21no—
669#546C22×C1311yescharacteristic
670#546C22×C1312yes—
671#546C22×C1311yescharacteristic, complemented
672#546C22×C1312yescomplemented
673D42C22×C1311yescharacteristic
674#540—21no—
675#540—21no—
676#535—21no—
677#533C22×C1311yescharacteristic, complemented
678#532C22×C1311yescharacteristic, complemented
679#532C22×C1311yescharacteristic, complemented
680#532C22×C1311yescharacteristic, complemented
681#532C22×C1311yescharacteristic, complemented
682#532C22×C1311yescharacteristic, complemented
683C2×#127C22×C1311yescharacteristic, complemented
684#529—21no—
685#529C22×C1311yescharacteristic
686#529C22×C1311yescharacteristic, complemented
687#525—21no—
688#525—21no—
689#518—21no—
690C4×#41C22×C1311yescharacteristic
691C4×#41C22×C1311yescharacteristic, complemented
692C2×C4×D4—21no—
693C2×C4×D4C22×C1311yescharacteristic
694C2×C4×D4C22×C1311yescharacteristic, complemented
695#496C22×C1312yescomplemented
696#496C22×C1312yescomplemented
697#495C22×C1312yescomplemented
698#490C22×C1312yescomplemented
699#489C22×C1312yescomplemented
700#488C22×C1312yescomplemented
701#484C22×C1312yescomplemented
702#482C22×C1312yescomplemented
703#480C22×C1312yescomplemented
704#479C22×C1312yescomplemented
705#478C22×C1312yescomplemented
706#475C22×C1311yescharacteristic, complemented
707#474C22×C1311yescharacteristic, complemented
708#474C22×C1311yescharacteristic, complemented
709#474C22×C1311yescharacteristic, complemented
710#474C22×C1312yescomplemented
711#469C22×C1312yescomplemented
712#468C22×C1312yescomplemented
713#467C22×C1312yescomplemented
714#466C22×C1312yescomplemented
715#466C22×C1312yescomplemented
716#465C22×C1312yes—
717#464C22×C1312yescomplemented
718#464C22×C1312yescomplemented
719#463C22×C1312yescomplemented
720#463C22×C1312yescomplemented
721#463C22×C1312yescomplemented
722#463C22×C1312yescomplemented
723#462C22×C1311yescharacteristic, complemented
724#461C22×C1311yescharacteristic, complemented
725#461C22×C1311yescharacteristic, complemented
726#461C22×C1311yescharacteristic, complemented
727#460C22×C1311yescharacteristic, complemented
728#460C22×C1311yescharacteristic, complemented
729#459C22×C1311yescharacteristic
730#459C22×C1312yes—
731#459C22×C1311yescharacteristic
732#459C22×C1311yescharacteristic, complemented
733#459C22×C1312yescomplemented
734#459C22×C1312yescomplemented
735#459C22×C1311yescharacteristic, complemented
736#459C22×C1311yescharacteristic, complemented
737#459C22×C1311yescharacteristic, complemented
738#452C22×C1312yescomplemented
739#450C22×C1312yes—
740#450C22×C1312yescomplemented
741#449C22×C1312yescomplemented
742#449C22×C1312yescomplemented
743#449C22×C1312yescomplemented
744#449C22×C1312yescomplemented
745#447C22×C1312yes—
746#447C22×C1312yescomplemented
747#446C22×C1312yescomplemented
748#442C22×C1312yescomplemented
749#440C22×C1312yescomplemented
750#440C22×C1312yescomplemented
751#440C22×C1312yescomplemented
752C4×D8C22×C1312yescomplemented
753C4×D8C22×C1312yescomplemented
754#435C22×C1312yes—
755#435C22×C1312yescomplemented
756C8×D4C22×C1312yescomplemented
757#432C22×C1311yescharacteristic, complemented
758#432C22×C1311yescharacteristic, complemented
759#431C22×C1311yescharacteristic, complemented
760#423C22×C1311yescharacteristic, complemented
761C2×C4⋊C8C22×C1311yescharacteristic, complemented
762C2×C4⋊C8C22×C1311yescharacteristic, complemented
763#417C22×C1312yescomplemented
764#416C22×C1312yescomplemented
765C2×#102C22×C1312yescomplemented
766C22×C13—21no—
767C22×C13—21no—
768C22×C13—21no—
769C22×C13—21no—
770C22×C13—22no—
771C22×C13—21no—
772C22×C13—21no—
773C22×C13—21no—
774C22×C13—21no—
775C22×C13—41no—
776C22×C13—41no—
777C22×C13—42no—
778C22×C13—42no—
779C22×C13—41no—
780C22×C13—41no—
781C22×C13—41no—
782C22×C13—41no—
783C22×C13—42no—
784C22×C13—42no—
785C22×C13—41no—
786C22×C13—41no—
787C22×C13—42no—
788C22×C13—42no—
789C22×C13—84no—
790C22×C13—84no—
791C22×C13—164no—
792C22×C13#57512yes—
793C22×C13C23×D411yescharacteristic
794C4×C13—21no—
795C4×C13—21no—
796C4×C13—21no—
797C4×C13—21no—
798C4×C13—21no—
799C4×C13—21no—
800C4×C13—21no—
801C4×C13—21no—
802C4×C13—21no—
803C4×C13—21no—
804C4×C13—41no—
805C4×C13—42no—
806C4×C13—41no—
807C4×C13—41no—
808C4×C13—41no—
809C4×C13—41no—
810C4×C13—42no—
811C4×C13#57612yes—
812C4×C13C2×H(5,𝔽2)11yescharacteristic
813C4×C13#58511yescharacteristic
814C2×#41—21no—
815C2×#41—21no—
816C2×#41—21no—
817C2×#41D4×C1311yescharacteristic
818C2×#41C23×C1311yescharacteristic
819C2×#41C23×C1312yes—
820C2×#41C23×C1312yes—
821C22×D4—21no—
822C22×D4—21no—
823C22×D4—21no—
824C22×D4C23×C1311yescharacteristic
825C22×D4C23×C1311yescharacteristic
826C22×D4C23×C1312yes—
827C23×C4—21no—
828C23×C4—21no—
829AGL(1,ℤ/8)—44no—
830#135—44no—
831C2×Q16C23×C1312yes—
832C2×SD16C23×C1312yes—
833C2×SD16C23×C1312yes—
834C2×SD16C23×C1312yes—
835C2×SD16C23×C1312yes—
836C2×SD16C23×C1312yes—
837C2×D8—44no—
838C2×D8C23×C1312yes—
839C2×D8C23×C1312yes—
840C2×D8C23×C1312yes—
841C2×D8C23×C1312yes—
842C2×D8C23×C1312yes—
843C2×D8C23×C1312yes—
844C2×M16C23×C1312yes—
845C22×C8C23×C1312yes—
846C22×C8C23×C1312yes—
847C4⋊Q8C23×C1311yescharacteristic
848C4⋊Q8C23×C1311yescharacteristic
849C4⋊Q8C23×C1311yescharacteristic
850#127—22no—
851#127—21no—
852#127—21no—
853#127C23×C1311yescharacteristic
854#127C23×C1311yescharacteristic
855#127C23×C1312yes—
856#127C23×C1311yescharacteristic
857#126—21no—
858#126—21no—
859#126—21no—
860#126—21no—
861#125—21no—
862#125—21no—
863#125C23×C1311yescharacteristic
864#125C23×C1311yescharacteristic
865#124—21no—
866#124—22no—
867#124—21no—
868#124—21no—
869#124—21no—
870#124C23×C1311yescharacteristic
871#124C23×C1311yescharacteristic
872#124C23×C1312yes—
873#124C23×C1312yes—
874#123—21no—
875#123—21no—
876#123—21no—
877#123—21no—
878#123—21no—
879#123—21no—
880#123—22no—
881#123—22no—
882#123—22no—
883#123—22no—
884#123—21no—
885#123—21no—
886C22⋊Q8—21no—
887C22⋊Q8—21no—
888C22⋊Q8—21no—
889C22⋊Q8—21no—
890C22⋊Q8—21no—
891C22⋊Q8—21no—
892C22⋊Q8C23×C1311yescharacteristic
893C22⋊Q8C23×C1311yescharacteristic
894C22⋊Q8C23×C1312yes—
895#121—21no—
896#121—21no—
897#121—21no—
898#121—21no—
899#121—21no—
900#121—21no—
901#121—21no—
902#121—21no—
903#121—21no—
904#121—21no—
905#121—21no—
906#121—21no—
907#121—22no—
908#121—22no—
909#121—22no—
910#121—22no—
911#121C23×C1311yescharacteristic
912#121C23×C1311yescharacteristic
913#121C23×C1312yes—
914#121C23×C1311yescharacteristic
915#121C23×C1312yes—
916#121C23×C1311yescharacteristic
917#120—21no—
918#120—21no—
919#120—22no—
920#120—22no—
921#120—21no—
922#120—21no—
923C4×Q8—21no—
924C4×Q8D4×C1311yescharacteristic
925C4×Q8C23×C1311yescharacteristic
926C4×Q8C23×C1311yescharacteristic
927C4×Q8C23×C1312yes—
928C4×Q8C23×C1311yescharacteristic
929C4×D4—21no—
930C4×D4—21no—
931C4×D4—21no—
932C4×D4—21no—
933C4×D4—21no—
934C4×D4—21no—
935C4×D4—22no—
936C4×D4—22no—
937C4×D4—21no—
938C4×D4—21no—
939C4×D4—21no—
940C4×D4—21no—
941C4×D4—21no—
942C4×D4—21no—
943C4×D4—21no—
944C4×D4—21no—
945C4×D4—21no—
946C4×D4—21no—
947C4×D4—21no—
948C4×D4—21no—
949C4×D4—21no—
950C4×D4D4×C1311yescharacteristic
951C4×D4D4×C1311yescharacteristic
952C4×D4D4×C1311yescharacteristic
953C4×D4C23×C1311yescharacteristic
954C4×D4C23×C1311yescharacteristic
955C4×D4C23×C1311yescharacteristic
956C4×D4C23×C1311yescharacteristic
957C4×D4C23×C1311yescharacteristic
958C4×D4C23×C1311yescharacteristic
959C4×D4C23×C1311yescharacteristic
960C4×D4C23×C1311yescharacteristic
961C4×D4C23×C1312yes—
962C4×D4C23×C1312yes—
963C4×D4C23×C1311yescharacteristic
964C4×D4C23×C1311yescharacteristic
965C4×D4C23×C1311yescharacteristic
966#117—21no—
967#117—21no—
968#117—21no—
969#117—21no—
970#117D4×C1311yescharacteristic
971#117D4×C1311yescharacteristic
972#117D4×C1311yescharacteristic
973#117C23×C1311yescharacteristic
974C2×C4⋊C4—21no—
975C2×C4⋊C4C23×C1311yescharacteristic
976C2×C4⋊C4C23×C1311yescharacteristic
977C2×C22⋊C4—21no—
978C2×C22⋊C4—21no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—21no—
981C2×C22⋊C4—22no—
982C2×C22⋊C4—22no—
983C2×C42—21no—
984C2×C42C23×C1311yescharacteristic
985C2×C42C23×C1311yescharacteristic
986C2×C42C23×C1311yescharacteristic
987#107C23×C1312yes—
988#107C23×C1312yes—
989#107C23×C1312yes—
990#106C23×C1312yes—
991C4⋊C8C23×C1311yescharacteristic
992C4⋊C8C23×C1311yescharacteristic
993C4⋊C8C23×C1311yescharacteristic
994C4⋊C8C23×C1312yes—
995C4⋊C8C23×C1312yes—
996C4⋊C8C23×C1312yes—
997C4⋊C8C23×C1311yescharacteristic
998#103C23×C1312yes—
999#103C23×C1312yes—
1000#103C23×C1312yes—
1001#103C23×C1312yes—
1002#103C23×C1312yes—
1003#102C23×C1312yes—
1004#102C23×C1312yes—
1005#102C23×C1312yes—
1006#102C23×C1312yes—
1007#102C23×C1312yes—
1008#102C23×C1312yes—
1009#102C23×C1312yes—
1010#102C23×C1312yes—
1011#102C23×C1312yes—
1012#102C23×C1312yes—
1013#102C23×C1312yes—
1014C22⋊C8C23×C1312yes—
1015C22⋊C8C23×C1312yes—
1016C22⋊C8C23×C1312yes—
1017#97C23×C1312yes—
1018#97C23×C1312yes—
1019C4×C8C23×C1312yes—
1020C2×C13—22no—
1021C2×C13—41no—
1022C2×C13—41no—
1023C2×C13—42no—
1024C2×C13—81no—
1025C2×C13—81no—
1026C2×C13—82no—
1027C2×C13—82no—
1028C2×C13#348811yescharacteristic
1029C2×C13C2×#57511yescharacteristic
1030C2×C13C2×#57611yescharacteristic
1031C24—21no—
1032C24—21no—
1033C24—22no—
1034#41—22no—
1035#41—42no—
1036#41—41no—
1037#41—42no—
1038#41—42no—
1039#41—42no—
1040#41—42no—
1041#41—82no—
1042#41—82no—
1043#41—82no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8C2×D4×C1311yescharacteristic
1047C2×Q8C24×C1312yes—
1048C2×Q8C24×C1311yescharacteristic
1049C2×D4—22no—
1050C2×D4—22no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—22no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—82no—
1078C2×D4C2×D4×C1311yescharacteristic
1079C2×D4C2×D4×C1311yescharacteristic
1080C2×D4C2×D4×C1311yescharacteristic
1081C2×D4C24×C1312yes—
1082C2×D4C24×C1312yes—
1083C2×D4C24×C1311yescharacteristic
1084C2×D4C24×C1311yescharacteristic
1085C2×D4C24×C1311yescharacteristic
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—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—82no—
1102C22×C4—82no—
1103C22×C4C2×D4×C1311yescharacteristic
1104C22×C4C2×D4×C1311yescharacteristic
1105C22×C4C2×D4×C1311yescharacteristic
1106C22×C4C2×D4×C1311yescharacteristic
1107C22×C4C2×D4×C1311yescharacteristic
1108C22×C4C2×D4×C1311yescharacteristic
1109C22×C4C24×C1311yescharacteristic
1110C22×C4C24×C1311yescharacteristic
1111C22×C4C24×C1311yescharacteristic
1112Q16—42no—
1113SD16—24no—
1114SD16—42no—
1115SD16—42no—
1116SD16—42no—
1117SD16—42no—
1118D8—24no—
1119D8—24no—
1120D8—42no—
1121D8—42no—
1122D8—42no—
1123D8—42no—
1124M16—42no—
1125C2×C8—42no—
1126C2×C8—42no—
1127C2×C8C24×C1312yes—
1128C2×C8C24×C1312yes—
1129C2×C8C24×C1312yes—
1130C2×C8C24×C1312yes—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4C2×D4×C1311yescharacteristic
1148C4⋊C4C2×D4×C1311yescharacteristic
1149C4⋊C4C2×D4×C1311yescharacteristic
1150C4⋊C4C2×D4×C1311yescharacteristic
1151C4⋊C4C2×D4×C1311yescharacteristic
1152C4⋊C4C2×D4×C1311yescharacteristic
1153C4⋊C4C24×C1311yescharacteristic
1154C4⋊C4C24×C1311yescharacteristic
1155C4⋊C4C24×C1311yescharacteristic
1156C4⋊C4C24×C1311yescharacteristic
1157C4⋊C4C24×C1312yes—
1158C22⋊C4—22no—
1159C22⋊C4—21no—
1160C22⋊C4—21no—
1161C22⋊C4—21no—
1162C22⋊C4—21no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—21no—
1168C22⋊C4—21no—
1169C22⋊C4—21no—
1170C22⋊C4—21no—
1171C22⋊C4—21no—
1172C22⋊C4—21no—
1173C22⋊C4—21no—
1174C22⋊C4—21no—
1175C22⋊C4—21no—
1176C22⋊C4—21no—
1177C22⋊C4—21no—
1178C22⋊C4—21no—
1179C22⋊C4—21no—
1180C22⋊C4—21no—
1181C22⋊C4—21no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4C2×D4×C1311yescharacteristic
1187C22⋊C4C2×D4×C1311yescharacteristic
1188C22⋊C4C2×D4×C1311yescharacteristic
1189C22⋊C4C2×D4×C1311yescharacteristic
1190C22⋊C4C2×D4×C1311yescharacteristic
1191C22⋊C4C2×D4×C1311yescharacteristic
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—22no—
1196C42C2×D4×C1311yescharacteristic
1197C42C2×D4×C1311yescharacteristic
1198C42C2×D4×C1311yescharacteristic
1199C42C2×D4×C1311yescharacteristic
1200C42C2×D4×C1311yescharacteristic
1201C42C2×D4×C1311yescharacteristic
1202C42C24×C1311yescharacteristic
1203C42C24×C1311yescharacteristic
1204C42C24×C1311yescharacteristic
1205C42C24×C1311yescharacteristic
1206C13#6197711yescharacteristic, direct product factor, Sylow
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—22no—
1212C23—42no—
1213C23—42no—
1214C23—42no—
1215C23—42no—
1216C23—44no—
1217C23—81no—
1218C23—81no—
1219C23—82no—
1220C23—82no—
1221C23C22×D4×C1311yescharacteristic
1222C23C22×D4×C1311yescharacteristic
1223C23C22×D4×C1311yescharacteristic
1224Q8—22no—
1225Q8—21no—
1226Q8—21no—
1227Q8—22no—
1228Q8—41no—
1229Q8—42no—
1230Q8—81no—
1231D4—22no—
1232D4—22no—
1233D4—22no—
1234D4—22no—
1235D4—21no—
1236D4—21no—
1237D4—21no—
1238D4—21no—
1239D4—22no—
1240D4—21no—
1241D4—22no—
1242D4—41no—
1243D4—42no—
1244D4—42no—
1245D4—42no—
1246D4—42no—
1247D4—44no—
1248D4—42no—
1249D4—42no—
1250D4—42no—
1251D4—42no—
1252D4—42no—
1253D4—42no—
1254D4—82no—
1255D4—82no—
1256D4—81no—
1257D4—82no—
1258D4—82no—
1259D4—81no—
1260D4—81no—
1261D4—82no—
1262D4—82no—
1263D4C13×H(5,𝔽2)12yes—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—42no—
1284C2×C4—42no—
1285C2×C4—42no—
1286C2×C4—42no—
1287C2×C4—42no—
1288C2×C4—81no—
1289C2×C4—81no—
1290C2×C4—81no—
1291C2×C4—81no—
1292C2×C4—82no—
1293C2×C4—82no—
1294C2×C4—82no—
1295C2×C4—82no—
1296C2×C4—81no—
1297C2×C4—81no—
1298C2×C4C22×D4×C1311yescharacteristic
1299C2×C4C22×D4×C1311yescharacteristic
1300C2×C4C22×D4×C1311yescharacteristic
1301C2×C4C22×D4×C1311yescharacteristic
1302C2×C4C22×D4×C1311yescharacteristic
1303C2×C4C22×D4×C1311yescharacteristic
1304C2×C4C22×D4×C1311yescharacteristic
1305C2×C4C22×D4×C1311yescharacteristic
1306C2×C4C22×D4×C1311yescharacteristic
1307C2×C4C22×D4×C1311yescharacteristic
1308C2×C4C22×D4×C1311yescharacteristic
1309C2×C4C25×C1311yescharacteristic
1310C8—22no—
1311C8—22no—
1312C8—22no—
1313C8—22no—
1314C22—21no—
1315C22—21no—
1316C22—21no—
1317C22—21no—
1318C22—21no—
1319C22—21no—
1320C22—21no—
1321C22—21no—
1322C22—22no—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—42no—
1328C22—42no—
1329C22—41no—
1330C22—41no—
1331C22—42no—
1332C22—42no—
1333C22—42no—
1334C22—42no—
1335C22—41no—
1336C22—41no—
1337C22—84no—
1338C22—84no—
1339C22—164no—
1340C22C13×#57512yes—
1341C22C23×D4×C1311yescharacteristic
1342C4—21no—
1343C4—21no—
1344C4—21no—
1345C4—21no—
1346C4—21no—
1347C4—21no—
1348C4—21no—
1349C4—21no—
1350C4—21no—
1351C4—21no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C4—42no—
1357C4—41no—
1358C4—42no—
1359C4C13×#57612yes—
1360C4C2×C13×H(5,𝔽2)11yescharacteristic
1361C4C13×#58511yescharacteristic
1362C2—22no—
1363C2—41no—
1364C2—41no—
1365C2—42no—
1366C2—81no—
1367C2—81no—
1368C2—82no—
1369C2—82no—
1370C2C13×#348811yescharacteristic
1371C2C2×C13×#57511yescharacteristic
1372C2C2×C13×#57611yescharacteristic
subgroupG/H
center, socleC22×C13C23×D4
commutator, Frattini, cosocleC2×C4C25×C13
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C13 ◁ C4×C13×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3508C2semidirect
2. C13×#3481C2semidirect
3. C13×#3403C2semidirect
4. C13×#3370C2semidirect
5. C13×#3314C2semidirect
6. C13×#3309C2semidirect
7. C13×#3297C2semidirect
8. C13×#3280C2semidirect
9. C13×#3268C2semidirect
10. C13×#3264C2semidirect
11. C13×#3251C2semidirect
12. C13×#3248C2semidirect
13. C13×#3245C2semidirect
14. C13×#3217C2semidirect
15. C13×#3214C2semidirect
16. C13×#3212C2semidirect
17. C13×#3115C2semidirect
18. C13×#3110C2semidirect
19. C13×#3100C2semidirect
20. C13×#3036C2semidirect
21. C13×#3035C2semidirect
22. C2×C13×#459C2semidirect
23. C13×#2990C2semidirect
24. C2×C13×AGL(1,ℤ/8)C22semidirect
25. C2×C13×#135C22semidirect
28. C13×#559C22semidirect
29. C13×#559C22semidirect
31. C13×#554C22semidirect
34. C13×#553C22semidirect
38. C13×#550C22semidirect
44. C13×#546C22semidirect
45. C13×#546C22semidirect
50. C13×#533C22semidirect
51. C13×#532C22semidirect
52. C13×#532C22semidirect
53. C13×#532C22semidirect
54. C13×#532C22semidirect
55. C13×#532C22semidirect
56. C2×C13×#127C22semidirect
59. C13×#529C22semidirect
64. C4×C13×#41C22semidirect
67. C2×C4×D4×C13C22semidirect
68. C13×#496C22semidirect
69. C13×#496C22semidirect
70. C13×#495C22semidirect
71. C13×#490C22semidirect
72. C13×#489C22semidirect
73. C13×#488C22semidirect
74. C13×#484C22semidirect
75. C13×#482C22semidirect
76. C13×#480C22semidirect
77. C13×#479C22semidirect
78. C13×#478C22semidirect
79. C13×#475C22semidirect
80. C13×#474C22semidirect
81. C13×#474C22semidirect
82. C13×#474C22semidirect
83. C13×#474C22semidirect
84. C13×#469C22semidirect
85. C13×#468C22semidirect
86. C13×#467C22semidirect
87. C13×#466C22semidirect
88. C13×#466C22semidirect
90. C13×#464C22semidirect
91. C13×#464C22semidirect
92. C13×#463C22semidirect
93. C13×#463C22semidirect
94. C13×#463C22semidirect
95. C13×#463C22semidirect
96. C13×#462C22semidirect
97. C13×#461C22semidirect
98. C13×#461C22semidirect
99. C13×#461C22semidirect
100. C13×#460C22semidirect
101. C13×#460C22semidirect
105. C13×#459C22semidirect
106. C13×#459C22semidirect
107. C13×#459C22semidirect
108. C13×#459C22semidirect
109. C13×#459C22semidirect
110. C13×#459C22semidirect
111. C13×#452C22semidirect
113. C13×#450C22semidirect
114. C13×#449C22semidirect
115. C13×#449C22semidirect
116. C13×#449C22semidirect
117. C13×#449C22semidirect
119. C13×#447C22semidirect
120. C13×#446C22semidirect
121. C13×#442C22semidirect
122. C13×#440C22semidirect
123. C13×#440C22semidirect
124. C13×#440C22semidirect
125. C4×C13×D8C22semidirect
126. C4×C13×D8C22semidirect
128. C13×#435C22semidirect
129. C8×D4×C13C22semidirect
130. C13×#432C22semidirect
131. C13×#432C22semidirect
132. C13×#431C22semidirect
133. C13×#423C22semidirect
134. C2×C13×C4⋊C8C22semidirect
135. C2×C13×C4⋊C8C22semidirect
136. C13×#417C22semidirect
137. C13×#416C22semidirect
138. C2×C13×#102C22semidirect
345. #61977C13direct (N × H)
521. #3508C2×C13semidirect
522. #3481C2×C13semidirect
523. #3403C2×C13semidirect
524. #3370C2×C13semidirect
525. #3314C2×C13semidirect
526. #3309C2×C13semidirect
527. #3297C2×C13semidirect
528. #3280C2×C13semidirect
529. #3268C2×C13semidirect
530. #3264C2×C13semidirect
531. #3251C2×C13semidirect
532. #3248C2×C13semidirect
533. #3245C2×C13semidirect
534. #3217C2×C13semidirect
535. #3214C2×C13semidirect
536. #3212C2×C13semidirect
537. #3115C2×C13semidirect
538. #3110C2×C13semidirect
539. #3100C2×C13semidirect
540. #3036C2×C13semidirect
541. #3035C2×C13semidirect
542. C2×#459C2×C13semidirect
543. #2990C2×C13semidirect
651. C2×AGL(1,ℤ/8)C22×C13semidirect
652. C2×#135C22×C13semidirect
655. #559C22×C13semidirect
656. #559C22×C13semidirect
658. #554C22×C13semidirect
661. #553C22×C13semidirect
665. #550C22×C13semidirect
671. #546C22×C13semidirect
672. #546C22×C13semidirect
677. #533C22×C13semidirect
678. #532C22×C13semidirect
679. #532C22×C13semidirect
680. #532C22×C13semidirect
681. #532C22×C13semidirect
682. #532C22×C13semidirect
683. C2×#127C22×C13semidirect
686. #529C22×C13semidirect
691. C4×#41C22×C13semidirect
694. C2×C4×D4C22×C13semidirect
695. #496C22×C13semidirect
696. #496C22×C13semidirect
697. #495C22×C13semidirect
698. #490C22×C13semidirect
699. #489C22×C13semidirect
700. #488C22×C13semidirect
701. #484C22×C13semidirect
702. #482C22×C13semidirect
703. #480C22×C13semidirect
704. #479C22×C13semidirect
705. #478C22×C13semidirect
706. #475C22×C13semidirect
707. #474C22×C13semidirect
708. #474C22×C13semidirect
709. #474C22×C13semidirect
710. #474C22×C13semidirect
711. #469C22×C13semidirect
712. #468C22×C13semidirect
713. #467C22×C13semidirect
714. #466C22×C13semidirect
715. #466C22×C13semidirect
717. #464C22×C13semidirect
718. #464C22×C13semidirect
719. #463C22×C13semidirect
720. #463C22×C13semidirect
721. #463C22×C13semidirect
722. #463C22×C13semidirect
723. #462C22×C13semidirect
724. #461C22×C13semidirect
725. #461C22×C13semidirect
726. #461C22×C13semidirect
727. #460C22×C13semidirect
728. #460C22×C13semidirect
732. #459C22×C13semidirect
733. #459C22×C13semidirect
734. #459C22×C13semidirect
735. #459C22×C13semidirect
736. #459C22×C13semidirect
737. #459C22×C13semidirect
738. #452C22×C13semidirect
740. #450C22×C13semidirect
741. #449C22×C13semidirect
742. #449C22×C13semidirect
743. #449C22×C13semidirect
744. #449C22×C13semidirect
746. #447C22×C13semidirect
747. #446C22×C13semidirect
748. #442C22×C13semidirect
749. #440C22×C13semidirect
750. #440C22×C13semidirect
751. #440C22×C13semidirect
752. C4×D8C22×C13semidirect
753. C4×D8C22×C13semidirect
755. #435C22×C13semidirect
756. C8×D4C22×C13semidirect
757. #432C22×C13semidirect
758. #432C22×C13semidirect
759. #431C22×C13semidirect
760. #423C22×C13semidirect
761. C2×C4⋊C8C22×C13semidirect
762. C2×C4⋊C8C22×C13semidirect
763. #417C22×C13semidirect
764. #416C22×C13semidirect
765. C2×#102C22×C13semidirect
1206. C13#61977direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35082
C13×#34812
C13×#34032
C13×#33702
C13×#33142
C13×#33092
C13×#32972
C13×#32802
C13×#32682
C13×#32642
C13×#32512
C13×#32482
C13×#32452
C13×#32172
C13×#32142
C13×#32122
C13×#31152
C13×#31102
C13×#31002
C13×#30362
C13×#30352
C2×C13×#4592
C13×#29902
#6197713