Finite Group Databasebeta

← D13×#2837 #16069143

Subgroups — D13×#2837 #16069143

Order 3328.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123057C211yesmaximal, characteristic, complemented
2#13123056C211yesmaximal, characteristic, complemented
3#13123055C211yesmaximal, characteristic, complemented
4#13123054C211yesmaximal, characteristic, complemented
5#13123053C211yesmaximal, characteristic, complemented
6#13123052C211yesmaximal, characteristic, complemented
7#13123051C211yesmaximal, characteristic, complemented
8#13123050C211yesmaximal, characteristic, complemented
9#13123049C211yesmaximal, characteristic, complemented
10#13123048C211yesmaximal, characteristic, complemented
11#13123047C211yesmaximal, characteristic, complemented
12#13123046C211yesmaximal, characteristic, complemented
13#13123045C211yesmaximal, characteristic, complemented
14#13123044C211yesmaximal, characteristic, complemented
15#13123043C211yesmaximal, characteristic, complemented
16D13×#400C211yesmaximal, characteristic, complemented
17D13×#399C211yesmaximal, characteristic, complemented
18D13×#399C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#398C211yesmaximal, characteristic, complemented
21D13×#397C211yesmaximal, characteristic, complemented
22D13×#397C211yesmaximal, characteristic, complemented
23D13×#396C211yesmaximal, characteristic, complemented
24D13×#396C211yesmaximal, characteristic, complemented
25D13×#394C211yesmaximal, characteristic
26D13×#394C211yesmaximal, characteristic
27D13×#394C211yesmaximal, characteristic
28D13×#389C211yesmaximal, characteristic, complemented
29D13×#388C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2837C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C2×C4⋊C4×D13C2211yescharacteristic
34C2×C4⋊C4×D13C2211yescharacteristic
35C2×C4⋊C4×D13C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×C4⋊C4×D13C2211yescharacteristic
39C2×C4⋊C4×D13C2211yescharacteristic
40C2×C4⋊C4×D13C2211yescharacteristic
41C2×C4⋊C4×D13C2211yescharacteristic
42C2×C4⋊C4×D13C2211yescharacteristic
43C2×C4⋊C4×D13C2211yescharacteristic
44C2×C22⋊C4×D13C2211yescharacteristic
45C2×C22⋊C4×D13C2211yescharacteristic
46C2×C22⋊C4×D13C2211yescharacteristic
47C2×C22⋊C4×D13C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic
57C13×#400C2211yescharacteristic, complemented
58C13×#399C2211yescharacteristic, complemented
59C13×#399C2211yescharacteristic, complemented
60C13×#398C2211yescharacteristic, complemented
61C13×#398C2211yescharacteristic, complemented
62C13×#397C2211yescharacteristic, complemented
63C13×#397C2211yescharacteristic, complemented
64C13×#396C2211yescharacteristic, complemented
65C13×#396C2211yescharacteristic, complemented
66C13×#394C2211yescharacteristic
67C13×#394C2211yescharacteristic
68C13×#394C2211yescharacteristic
69C13×#389C2211yescharacteristic, complemented
70C13×#388C2211yescharacteristic, complemented
71C13×#388C2211yescharacteristic, complemented
72#11718883C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718883C2211yescharacteristic
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718655C2211yescharacteristic, complemented
78#11718655C2211yescharacteristic, complemented
79#11718655C2211yescharacteristic, complemented
80#11718655C2211yescharacteristic, complemented
81#11718654C2211yescharacteristic, complemented
82#11718654C2211yescharacteristic, complemented
83#11718653C2211yescharacteristic, complemented
84#11718653C2211yescharacteristic, complemented
85#11718653C2211yescharacteristic, complemented
86#11718653C2211yescharacteristic, complemented
87#11718653C2211yescharacteristic, complemented
88#11718653C2211yescharacteristic, complemented
89#11718652C2211yescharacteristic
90#11718652C2211yescharacteristic
91#11718652C2211yescharacteristic
92#11718651C2211yescharacteristic, complemented
93#11718651C2211yescharacteristic, complemented
94#11718647C2211yescharacteristic, complemented
95#11718646C2211yescharacteristic, complemented
96#11718645C2211yescharacteristic, complemented
97#11718645C2211yescharacteristic, complemented
98#11718645C2211yescharacteristic, complemented
99#11718645C2211yescharacteristic, complemented
100#11718644C2211yescharacteristic, complemented
101#11718644C2211yescharacteristic, complemented
102#11718643C2211yescharacteristic, complemented
103#11718641C2211yescharacteristic, complemented
104#11718641C2211yescharacteristic, complemented
105#11718634C2211yescharacteristic, complemented
106#11718633C2211yescharacteristic, complemented
107#11718633C2211yescharacteristic, complemented
108#11718622C2211yescharacteristic
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic
111#11718622C2211yescharacteristic
112#11718622C2211yescharacteristic
113#11718622C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic
117#11718620C2211yescharacteristic
118#11718620C2211yescharacteristic
119#11718620C2211yescharacteristic
120#11718614C2211yescharacteristic, complemented
121#11718614C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718613C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718612C2211yescharacteristic, complemented
128#11718610C2211yescharacteristic, complemented
129#11718610C2211yescharacteristic, complemented
130#11718610C2211yescharacteristic, complemented
131#11718610C2211yescharacteristic, complemented
132#11718610C2211yescharacteristic, complemented
133#11718610C2211yescharacteristic, complemented
134#11718609C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718609C2211yescharacteristic, complemented
138#11718609C2211yescharacteristic, complemented
139#11718609C2211yescharacteristic, complemented
140#11718606C2211yescharacteristic, complemented
141#11718606C2211yescharacteristic, complemented
142#11718605C2211yescharacteristic, complemented
143#11718605C2211yescharacteristic, complemented
144#11718601C2211yescharacteristic, complemented
145#11718601C2211yescharacteristic, complemented
146#11718589C2211yescharacteristic, complemented
147#11718338C2211yescharacteristic, complemented
148#11718338C2211yescharacteristic, complemented
149#11718337C2211yescharacteristic, complemented
150#11718337C2211yescharacteristic, complemented
151#11718336C2211yescharacteristic, complemented
152#11718336C2211yescharacteristic, complemented
153#11718336C2211yescharacteristic, complemented
154#11718336C2211yescharacteristic, complemented
155#11718335C2211yescharacteristic, complemented
156#11718335C2211yescharacteristic, complemented
157#11718333C2211yescharacteristic
158#11718333C2211yescharacteristic
159#11718333C2211yescharacteristic
160#11718331C2211yescharacteristic, complemented
161#11718331C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174#11718322C2211yescharacteristic, complemented
175#11718322C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718320C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718318C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C2×D4×D13—42no—
193C2×D4×D13—42no—
194C2×D4×D13—42no—
195C22×D52C2311yescharacteristic
196C22×C4×D13C2311yescharacteristic
197C22×C4×D13C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C2×C13×C4⋊C4C2311yescharacteristic
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×C4⋊Dic13C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C4⋊C4×D13—24no—
306C4⋊C4×D13—42no—
307C4⋊C4×D13—42no—
308C4⋊C4×D13—42no—
309C4⋊C4×D13—42no—
310C4⋊C4×D13—42no—
311C4⋊C4×D13—42no—
312C4⋊C4×D13—42no—
313C4⋊C4×D13—42no—
314C4⋊C4×D13—42no—
315C4⋊C4×D13—42no—
316C22⋊C4×D13—24no—
317C22⋊C4×D13—24no—
318C22⋊C4×D13—42no—
319C22⋊C4×D13—42no—
320C22⋊C4×D13—42no—
321C22⋊C4×D13—42no—
322C22⋊C4×D13—42no—
323C22⋊C4×D13—42no—
324C22⋊C4×D13—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13—42no—
328C42×D13—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369C2×#2837—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—22no—
384C23×D13—22no—
385C23×D13—22no—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C2×C22⋊D13—41no—
406C2×C22⋊D13—41no—
407C2×C22⋊D13—41no—
408C2×C22⋊D13—41no—
409C2×C22⋊D13—41no—
410C2×C22⋊D13—41no—
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C22×Dic13C2411yescharacteristic
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424D4×D13—416no—
425C2×D52—41no—
426C2×D52—41no—
427C2×D52—41no—
428C2×C4×D13—22no—
429C2×C4×D13—22no—
430C2×C4×D13—22no—
431C2×C4×D13—22no—
432C2×C4×D13—22no—
433C2×C4×D13—22no—
434C2×C4×D13—22no—
435C2×C4×D13—22no—
436C2×C4×D13—22no—
437C2×C4×D13—22no—
438C2×C4×D13—22no—
439C2×C4×D13—22no—
440C2×C4×D13—22no—
441C2×C4×D13—22no—
442C2×C4×D13—22no—
443C2×C4×D13—22no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13#4114yes—
467C13×C4⋊C4—22no—
468C13×C4⋊C4—41no—
469C13×C4⋊C4—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4—41no—
475C13×C4⋊C4—41no—
476C13×C4⋊C4—41no—
477C13×C4⋊C4—41no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—41no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C42×C13—41no—
491C22⋊Dic13—22no—
492C22⋊Dic13—22no—
493C22⋊Dic13—41no—
494C22⋊Dic13—41no—
495C22⋊Dic13—41no—
496C22⋊Dic13—41no—
497C22⋊Dic13—41no—
498C22⋊Dic13—41no—
499C22⋊Dic13—41no—
500C22⋊Dic13—41no—
501C22⋊Dic13—41no—
502C22⋊Dic13—41no—
503#6103—22no—
504#6103—22no—
505#6103—22no—
506#6103—22no—
507#6103—41no—
508#6103—41no—
509#6103—41no—
510#6103—41no—
511#6103—41no—
512#6103—41no—
513#6103—41no—
514#6103—41no—
515#6103—41no—
516#6103—41no—
517#6103—41no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103—41no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527C4⋊Dic13—22no—
528C4⋊Dic13—41no—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13—41no—
532C4⋊Dic13—41no—
533C4⋊Dic13—41no—
534C4⋊Dic13—41no—
535C4⋊Dic13—41no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538#6101—22no—
539#6101—22no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2837—131no—
564#2837—131no—
565#2837—131no—
566#2837—131no—
567#2837—131no—
568#2837—131no—
569#2837—131no—
570#2837—131no—
571#2837—131no—
572#2837—131no—
573#2837—131no—
574#2837—131no—
575#2837—131no—
576#2837—131no—
577#2837—131no—
578#2837D1311yescharacteristic, direct product factor
579C2×#400—131no—
580C2×#399—131no—
581C2×#399—131no—
582C2×#398—131no—
583C2×#398—131no—
584C2×#397—131no—
585C2×#397—131no—
586C2×#396—131no—
587C2×#396—131no—
588C2×#394—131no—
589C2×#394—131no—
590C2×#394—131no—
591C2×#389—131no—
592C2×#388—131no—
593C2×#388—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13C2511yescharacteristic
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—44no—
624C22×D13—44no—
625C22×D13—44no—
626C22×D13—44no—
627C22×D13—44no—
628C22×D13—44no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—44no—
634C22×D13—44no—
635C22×D13—44no—
636C22×D13—44no—
637C22×D13C2×#4112yes—
638C22×D13H(5,𝔽2)12yes—
639C22×D13H(5,𝔽2)12yes—
640C22×D13H(5,𝔽2)12yes—
641C22×D13H(5,𝔽2)12yes—
642C22×D132−1+412yes—
643C22×D132−1+412yes—
644D4×C13—44no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13C2×#4112yes—
684C22⋊D13—44no—
685C22⋊D13—44no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13C2×#4112yes—
725D52—44no—
726C4×D13—28no—
727C4×D13—44no—
728C4×D13—44no—
729C4×D13—44no—
730C4×D13—44no—
731C4×D13—44no—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736C4×D13—44no—
737C4×D13—44no—
738C4×D13—44no—
739C23×D4—131no—
740C22×C4⋊C4—131no—
741C22×C4⋊C4—131no—
742C22×C4⋊C4—131no—
743C22×C4⋊C4—131no—
744C22×C4⋊C4—131no—
745C22×C4⋊C4—131no—
746C22×C4⋊C4—131no—
747C22×C4⋊C4—131no—
748C22×C4⋊C4—131no—
749C22×C4⋊C4—131no—
750C22×C4⋊C4—131no—
751C22×C22⋊C4—131no—
752C22×C22⋊C4—131no—
753C22×C22⋊C4—131no—
754C22×C22⋊C4—131no—
755C22×C22⋊C4—131no—
756C22×C22⋊C4—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C22⋊C4—131no—
760C22×C22⋊C4—131no—
761C22×C22⋊C4—131no—
762C22×C22⋊C4—131no—
763C22×C42—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400—131no—
769#400—131no—
770#400—131no—
771#400C2×D1311yescharacteristic, complemented
772#399—131no—
773#399—131no—
774#399—131no—
775#399—131no—
776#399—131no—
777#399—131no—
778#399—131no—
779#399—131no—
780#399—131no—
781#399—131no—
782#399—131no—
783#399—131no—
784#399—131no—
785#399—131no—
786#399C2×D1311yescharacteristic, complemented
787#399C2×D1311yescharacteristic, complemented
788#398—131no—
789#398—131no—
790#398—131no—
791#398—131no—
792#398—131no—
793#398—131no—
794#398—131no—
795#398—131no—
796#398—131no—
797#398—131no—
798#398—131no—
799#398—131no—
800#398—131no—
801#398—131no—
802#398C2×D1311yescharacteristic, complemented
803#398C2×D1311yescharacteristic, complemented
804#397—131no—
805#397—131no—
806#397—131no—
807#397—131no—
808#397—131no—
809#397—131no—
810#397—131no—
811#397—131no—
812#397—131no—
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397—131no—
818#397C2×D1311yescharacteristic, complemented
819#397C2×D1311yescharacteristic, complemented
820#396—131no—
821#396—131no—
822#396—131no—
823#396—131no—
824#396—131no—
825#396—131no—
826#396—131no—
827#396—131no—
828#396—131no—
829#396—131no—
830#396—131no—
831#396—131no—
832#396—131no—
833#396—131no—
834#396C2×D1311yescharacteristic, complemented
835#396C2×D1311yescharacteristic, complemented
836#394—131no—
837#394—131no—
838#394—131no—
839#394—131no—
840#394—131no—
841#394—131no—
842#394—131no—
843#394—131no—
844#394—131no—
845#394—131no—
846#394—131no—
847#394—131no—
848#394—131no—
849#394—131no—
850#394—131no—
851#394—131no—
852#394—131no—
853#394—131no—
854#394—131no—
855#394—131no—
856#394—131no—
857#394C2×D1311yescharacteristic
858#394C2×D1311yescharacteristic
859#394C2×D1311yescharacteristic
860#389—131no—
861#389—131no—
862#389—131no—
863#389—131no—
864#389—131no—
865#389—131no—
866#389—131no—
867#389C2×D1311yescharacteristic, complemented
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#388—131no—
877#388—131no—
878#388—131no—
879#388—131no—
880#388—131no—
881#388—131no—
882#388C2×D1311yescharacteristic, complemented
883#388C2×D1311yescharacteristic, complemented
884C2×#95—131no—
885C2×#95—131no—
886C2×#95—131no—
887C2×#95—131no—
888C2×#95—131no—
889C2×#95—131no—
890C2×#95—131no—
891C2×#95—131no—
892C2×#95—131no—
893C2×#95—131no—
894C22×C13—41no—
895C22×C13—41no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13C22×#4111yescharacteristic
909C22×C13C2×H(5,𝔽2)11yescharacteristic
910C22×C13C2×H(5,𝔽2)11yescharacteristic
911C22×C13C2×H(5,𝔽2)11yescharacteristic
912C22×C13C2×H(5,𝔽2)11yescharacteristic
913C22×C13C2×2−1+411yescharacteristic
914C22×C13C2×2−1+411yescharacteristic
915C2×D13—41no—
916C2×D13—41no—
917C2×D13—41no—
918C2×D13—41no—
919C2×D13—41no—
920C2×D13—41no—
921C2×D13—41no—
922C2×D13—41no—
923C2×D13—41no—
924C2×D13—41no—
925C2×D13—41no—
926C2×D13—41no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—88no—
930C2×D13—88no—
931C2×D13#53914yes—
932C2×D13#54014yes—
933C2×D13#54214yes—
934C2×D13#56014yes—
935C2×D13#56214yes—
936C2×D13#56214yes—
937C2×D13#56314yes—
938C4×C13—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13—41no—
948C4×C13—41no—
949C4×C13—41no—
950C4×C13—41no—
951Dic13—22no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
961Dic13—41no—
962Dic13—41no—
963Dic13—41no—
964C25—131no—
965C25—131no—
966C22×D4—131no—
967C22×D4—131no—
968C22×D4—131no—
969C22×D4—522no—
970C22×D4—522no—
971C22×D4—522no—
972C22×D4C22×D1311yescharacteristic
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—131no—
982C23×C4—131no—
983C23×C4—131no—
984C23×C4—131no—
985C23×C4—131no—
986C2×C4⋊C4—131no—
987C2×C4⋊C4—131no—
988C2×C4⋊C4—131no—
989C2×C4⋊C4—131no—
990C2×C4⋊C4—131no—
991C2×C4⋊C4—131no—
992C2×C4⋊C4—131no—
993C2×C4⋊C4—131no—
994C2×C4⋊C4—131no—
995C2×C4⋊C4—131no—
996C2×C4⋊C4—131no—
997C2×C4⋊C4—131no—
998C2×C4⋊C4—131no—
999C2×C4⋊C4—131no—
1000C2×C4⋊C4—131no—
1001C2×C4⋊C4—131no—
1002C2×C4⋊C4—131no—
1003C2×C4⋊C4—131no—
1004C2×C4⋊C4—131no—
1005C2×C4⋊C4—131no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—264no—
1020C2×C4⋊C4—522no—
1021C2×C4⋊C4—522no—
1022C2×C4⋊C4—522no—
1023C2×C4⋊C4—522no—
1024C2×C4⋊C4—522no—
1025C2×C4⋊C4—522no—
1026C2×C4⋊C4—522no—
1027C2×C4⋊C4—522no—
1028C2×C4⋊C4—522no—
1029C2×C4⋊C4—522no—
1030C2×C4⋊C4C22×D1311yescharacteristic
1031C2×C4⋊C4C22×D1311yescharacteristic
1032C2×C4⋊C4C22×D1311yescharacteristic
1033C2×C4⋊C4C22×D1311yescharacteristic
1034C2×C4⋊C4C22×D1311yescharacteristic
1035C2×C4⋊C4C22×D1311yescharacteristic
1036C2×C4⋊C4C22×D1311yescharacteristic
1037C2×C4⋊C4C22×D1311yescharacteristic
1038C2×C4⋊C4C22×D1311yescharacteristic
1039C2×C4⋊C4C22×D1311yescharacteristic
1040C2×C4⋊C4C22×D1311yescharacteristic
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—264no—
1078C2×C22⋊C4—264no—
1079C2×C22⋊C4—522no—
1080C2×C22⋊C4—522no—
1081C2×C22⋊C4—522no—
1082C2×C22⋊C4—522no—
1083C2×C22⋊C4—522no—
1084C2×C22⋊C4—522no—
1085C2×C22⋊C4—522no—
1086C2×C22⋊C4—522no—
1087C2×C22⋊C4—522no—
1088C2×C22⋊C4—522no—
1089C2×C22⋊C4C22×D1311yescharacteristic
1090C2×C22⋊C4C22×D1311yescharacteristic
1091C2×C22⋊C4C22×D1311yescharacteristic
1092C2×C22⋊C4C22×D1311yescharacteristic
1093C2×C22⋊C4C22×D1311yescharacteristic
1094C2×C22⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4C22×D1311yescharacteristic
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C42—131no—
1102C2×C42—131no—
1103C2×C42—131no—
1104C2×C42—522no—
1105C2×C42C22×D1311yescharacteristic
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143#95C22×D1311yescharacteristic
1144#95C22×D1311yescharacteristic
1145#95C22×D1311yescharacteristic
1146C2×C13—81no—
1147C2×C13—81no—
1148C2×C13C2×#53911yescharacteristic
1149C2×C13C2×#54011yescharacteristic
1150C2×C13C2×#54211yescharacteristic
1151C2×C13C2×#56011yescharacteristic
1152C2×C13C2×#56211yescharacteristic
1153C2×C13C2×#56211yescharacteristic
1154C2×C13C2×#56311yescharacteristic
1155D13—81no—
1156D13—81no—
1157D13#283718yesdirect product factor
1158C24—131no—
1159C24—131no—
1160C24—131no—
1161C24—262no—
1162C24—262no—
1163C24—262no—
1164C24—262no—
1165C24—262no—
1166C24—262no—
1167C24—262no—
1168C24—262no—
1169C24—262no—
1170C24—262no—
1171C24—262no—
1172C24—262no—
1173C24—262no—
1174C24—262no—
1175C24C23×D1311yescharacteristic
1176C24C23×D1311yescharacteristic
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—521no—
1181C2×D4—521no—
1182C2×D4—521no—
1183C2×D4—521no—
1184C2×D4—521no—
1185C2×D4—521no—
1186C2×D4—521no—
1187C2×D4—521no—
1188C2×D4—521no—
1189C2×D4—5216no—
1190C22×C4—131no—
1191C22×C4—134no—
1192C22×C4—131no—
1193C22×C4—131no—
1194C22×C4—131no—
1195C22×C4—131no—
1196C22×C4—131no—
1197C22×C4—131no—
1198C22×C4—131no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—262no—
1205C22×C4—262no—
1206C22×C4—262no—
1207C22×C4—262no—
1208C22×C4—262no—
1209C22×C4—262no—
1210C22×C4—262no—
1211C22×C4—262no—
1212C22×C4—262no—
1213C22×C4—262no—
1214C22×C4—262no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4C23×D1311yescharacteristic
1243C22×C4C23×D1311yescharacteristic
1244C22×C4C23×D1311yescharacteristic
1245C22×C4C23×D1311yescharacteristic
1246C22×C4C23×D1311yescharacteristic
1247C22×C4C23×D1311yescharacteristic
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—521no—
1270C4⋊C4—521no—
1271C4⋊C4—521no—
1272C4⋊C4—521no—
1273C4⋊C4—521no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C4⋊C4—521no—
1285C4⋊C4—521no—
1286C4⋊C4—521no—
1287C4⋊C4—521no—
1288C4⋊C4—521no—
1289C4⋊C4—521no—
1290C4⋊C4—521no—
1291C4⋊C4—521no—
1292C4⋊C4—521no—
1293C4⋊C4—521no—
1294C4⋊C4—521no—
1295C4⋊C4—521no—
1296C4⋊C4—521no—
1297C4⋊C4—521no—
1298C4⋊C4—521no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
1316C22⋊C4—262no—
1317C22⋊C4—521no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4—521no—
1328C22⋊C4—521no—
1329C22⋊C4—521no—
1330C22⋊C4—521no—
1331C22⋊C4—521no—
1332C22⋊C4—521no—
1333C22⋊C4—521no—
1334C22⋊C4—521no—
1335C22⋊C4—521no—
1336C22⋊C4—521no—
1337C22⋊C4—521no—
1338C22⋊C4—521no—
1339C22⋊C4—521no—
1340C22⋊C4—521no—
1341C22⋊C4—521no—
1342C22⋊C4—521no—
1343C22⋊C4—521no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C42—41no—
1348C42—521no—
1349C42—521no—
1350C42—521no—
1351C13C2×#283711yescharacteristic, complemented, Sylow
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—132no—
1367C23—132no—
1368C23—132no—
1369C23—132no—
1370C23—132no—
1371C23—132no—
1372C23—132no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23—261no—
1387C23—524no—
1388C23—524no—
1389C23—524no—
1390C23—524no—
1391C23—524no—
1392C23—524no—
1393C23—524no—
1394C23—524no—
1395C23—524no—
1396C23—524no—
1397C23—524no—
1398C23—524no—
1399C23—524no—
1400C23—524no—
1401C23C24×D1311yescharacteristic
1402D4—44no—
1403D4—524no—
1404D4—524no—
1405D4—524no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—132no—
1445C2×C4—268no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4—524no—
1488C2×C4—524no—
1489C2×C4—524no—
1490C2×C4—524no—
1491C2×C4—524no—
1492C2×C4—524no—
1493C2×C4—524no—
1494C2×C4—524no—
1495C2×C4—524no—
1496C2×C4#41×D1312yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—134no—
1512C22—134no—
1513C22—134no—
1514C22—134no—
1515C22—134no—
1516C22—134no—
1517C22—134no—
1518C22—521no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22—521no—
1528C22—521no—
1529C22—521no—
1530C22—521no—
1531C22—521no—
1532C22—1048no—
1533C22—1048no—
1534C22C2×#41×D1311yescharacteristic
1535C22D13×H(5,𝔽2)11yescharacteristic
1536C22D13×H(5,𝔽2)11yescharacteristic
1537C22D13×H(5,𝔽2)11yescharacteristic
1538C22D13×H(5,𝔽2)11yescharacteristic
1539C22D13×2−1+411yescharacteristic
1540C22D13×2−1+411yescharacteristic
1541C4—22no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—262no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4—521no—
1561C4—521no—
1562C4—521no—
1563C4—521no—
1564C4—521no—
1565C4—521no—
1566C4—521no—
1567C2—81no—
1568C2—81no—
1569C2—138no—
1570C2—1041no—
1571C2—1041no—
1572C2D13×#53911yescharacteristic
1573C2D13×#54011yescharacteristic
1574C2D13×#54211yescharacteristic
1575C2D13×#56011yescharacteristic
1576C2D13×#56211yescharacteristic
1577C2D13×#56211yescharacteristic
1578C2D13×#56311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2837C2
prime radicalC22×D4×D13C22
hypercenter#2837D13
hypocenterC13C2×#2837
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2837

Complements

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

NH ≅ G/Ntype
1. #13123057C2semidirect
2. #13123056C2semidirect
3. #13123055C2semidirect
4. #13123054C2semidirect
5. #13123053C2semidirect
6. #13123052C2semidirect
7. #13123051C2semidirect
8. #13123050C2semidirect
9. #13123049C2semidirect
10. #13123048C2semidirect
11. #13123047C2semidirect
12. #13123046C2semidirect
13. #13123045C2semidirect
14. #13123044C2semidirect
15. #13123043C2semidirect
16. D13×#400C2semidirect
17. D13×#399C2semidirect
18. D13×#399C2semidirect
19. D13×#398C2semidirect
20. D13×#398C2semidirect
21. D13×#397C2semidirect
22. D13×#397C2semidirect
23. D13×#396C2semidirect
24. D13×#396C2semidirect
28. D13×#389C2semidirect
29. D13×#388C2semidirect
30. D13×#388C2semidirect
31. C13×#2837C2semidirect
57. C13×#400C22semidirect
58. C13×#399C22semidirect
59. C13×#399C22semidirect
60. C13×#398C22semidirect
61. C13×#398C22semidirect
62. C13×#397C22semidirect
63. C13×#397C22semidirect
64. C13×#396C22semidirect
65. C13×#396C22semidirect
69. C13×#389C22semidirect
70. C13×#388C22semidirect
71. C13×#388C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
77. #11718655C22semidirect
78. #11718655C22semidirect
79. #11718655C22semidirect
80. #11718655C22semidirect
81. #11718654C22semidirect
82. #11718654C22semidirect
83. #11718653C22semidirect
84. #11718653C22semidirect
85. #11718653C22semidirect
86. #11718653C22semidirect
87. #11718653C22semidirect
88. #11718653C22semidirect
92. #11718651C22semidirect
93. #11718651C22semidirect
94. #11718647C22semidirect
95. #11718646C22semidirect
96. #11718645C22semidirect
97. #11718645C22semidirect
98. #11718645C22semidirect
99. #11718645C22semidirect
100. #11718644C22semidirect
101. #11718644C22semidirect
102. #11718643C22semidirect
103. #11718641C22semidirect
104. #11718641C22semidirect
105. #11718634C22semidirect
106. #11718633C22semidirect
107. #11718633C22semidirect
120. #11718614C22semidirect
121. #11718614C22semidirect
122. #11718613C22semidirect
123. #11718613C22semidirect
124. #11718613C22semidirect
125. #11718613C22semidirect
126. #11718612C22semidirect
127. #11718612C22semidirect
128. #11718610C22semidirect
129. #11718610C22semidirect
130. #11718610C22semidirect
131. #11718610C22semidirect
132. #11718610C22semidirect
133. #11718610C22semidirect
134. #11718609C22semidirect
135. #11718609C22semidirect
136. #11718609C22semidirect
137. #11718609C22semidirect
138. #11718609C22semidirect
139. #11718609C22semidirect
140. #11718606C22semidirect
141. #11718606C22semidirect
142. #11718605C22semidirect
143. #11718605C22semidirect
144. #11718601C22semidirect
145. #11718601C22semidirect
146. #11718589C22semidirect
147. #11718338C22semidirect
148. #11718338C22semidirect
149. #11718337C22semidirect
150. #11718337C22semidirect
151. #11718336C22semidirect
152. #11718336C22semidirect
153. #11718336C22semidirect
154. #11718336C22semidirect
155. #11718335C22semidirect
156. #11718335C22semidirect
160. #11718331C22semidirect
161. #11718331C22semidirect
162. #11718330C22semidirect
163. #11718330C22semidirect
174. #11718322C22semidirect
175. #11718322C22semidirect
176. #11718321C22semidirect
177. #11718321C22semidirect
178. #11718320C22semidirect
179. #11718319C22semidirect
180. #11718319C22semidirect
181. #11718318C22semidirect
182. #11718318C22semidirect
183. #11718318C22semidirect
184. #11718318C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
578. #2837D13direct (N × H)
771. #400C2×D13semidirect
786. #399C2×D13semidirect
787. #399C2×D13semidirect
802. #398C2×D13semidirect
803. #398C2×D13semidirect
818. #397C2×D13semidirect
819. #397C2×D13semidirect
834. #396C2×D13semidirect
835. #396C2×D13semidirect
867. #389C2×D13semidirect
882. #388C2×D13semidirect
883. #388C2×D13semidirect
1157. D13#2837direct (N × H)
1351. C13C2×#2837semidirect

Maximal subgroups

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

subgroupindex
#131230572
#131230562
#131230552
#131230542
#131230532
#131230522
#131230512
#131230502
#131230492
#131230482
#131230472
#131230462
#131230452
#131230442
#131230432
D13×#4002
D13×#3992
D13×#3982
D13×#3972
D13×#3962
D13×#3942
D13×#3892
D13×#3882
C13×#28372
C2×#283713