Finite Group Databasebeta

← D13×#2457 #16031026

Subgroups — D13×#2457 #16031026

Order 3328.

3438 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13118750C211yesmaximal, characteristic, complemented
4#13118749C211yesmaximal, characteristic, complemented
5#13118748C211yesmaximal, characteristic, complemented
6#13118747C211yesmaximal, characteristic, complemented
7#13118746C211yesmaximal, characteristic, complemented
8#13118745C211yesmaximal, characteristic, complemented
9#13118744C211yesmaximal, characteristic, complemented
10#13118743C211yesmaximal, characteristic, complemented
11#13118742C211yesmaximal, characteristic, complemented
12#13118741C211yesmaximal, characteristic, complemented
13#13118740C211yesmaximal, characteristic, complemented
14#13118739C211yesmaximal, characteristic, complemented
15#13118738C211yesmaximal, characteristic, complemented
16#13118737C211yesmaximal, characteristic, complemented
17#13118736C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#396C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic, complemented
21D13×#392C211yesmaximal, characteristic
22D13×#388C211yesmaximal, characteristic, complemented
23D13×#388C211yesmaximal, characteristic, complemented
24D13×#387C211yesmaximal, characteristic, complemented
25D13×#386C211yesmaximal, characteristic, complemented
26D13×#386C211yesmaximal, characteristic, complemented
27D13×#386C211yesmaximal, characteristic, complemented
28D13×#381C211yesmaximal, characteristic, complemented
29D13×#380C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2457C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C23×C4×D13C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic, complemented
39C2×C4×D4×C13C2211yescharacteristic, complemented
40C2×#88189C2211yescharacteristic, complemented
41C2×D4×Dic13C2211yescharacteristic, complemented
42C2×#88183C2211yescharacteristic, complemented
43C2×C4×C22⋊D13C2211yescharacteristic, complemented
44C2×C4×C22⋊D13C2211yescharacteristic, complemented
45D13×#123—28no—
46C4×D4×D13—28no—
47C2×#88148C2211yescharacteristic, complemented
48C2×#88148C2211yescharacteristic, complemented
49C2×#88147C2211yescharacteristic, complemented
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×#88140C2211yescharacteristic, complemented
56C2×#88137C2211yescharacteristic, complemented
57C2×#88137C2211yescharacteristic, complemented
58C2×#88135C2211yescharacteristic, complemented
59C2×#88135C2211yescharacteristic, complemented
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×C22⋊C4×D13C2211yescharacteristic
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C4×D52C2211yescharacteristic, complemented
73C2×C42×D13C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75C13×#400C2211yescharacteristic, complemented
76C13×#396C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic, complemented
78C13×#392C2211yescharacteristic
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#387C2211yescharacteristic, complemented
82C13×#386C2211yescharacteristic, complemented
83C13×#386C2211yescharacteristic, complemented
84C13×#386C2211yescharacteristic, complemented
85C13×#381C2211yescharacteristic, complemented
86C13×#380C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88#11718884C2211yescharacteristic
89#11718884C2211yescharacteristic
90#11718884C2211yescharacteristic
91#11718883C2211yescharacteristic, complemented
92#11718881C2211yescharacteristic, complemented
93#11718881C2211yescharacteristic, complemented
94#11718881C2211yescharacteristic, complemented
95#11718874C2211yescharacteristic, complemented
96#11718874C2211yescharacteristic, complemented
97#11718874C2211yescharacteristic, complemented
98#11718873C2211yescharacteristic, complemented
99#11718872C2211yescharacteristic, complemented
100C4×C22⋊Dic13C2211yescharacteristic, complemented
101#11718655C2211yescharacteristic, complemented
102#11718655C2211yescharacteristic, complemented
103#11718655C2211yescharacteristic, complemented
104#11718652C2211yescharacteristic, complemented
105#11718651C2211yescharacteristic, complemented
106#11718651C2211yescharacteristic, complemented
107#11718648C2211yescharacteristic, complemented
108#11718648C2211yescharacteristic, complemented
109#11718647C2211yescharacteristic, complemented
110#11718643C2211yescharacteristic, complemented
111#11718642C2211yescharacteristic, complemented
112#11718639C2211yescharacteristic, complemented
113#11718622C2211yescharacteristic, complemented
114#11718622C2211yescharacteristic, complemented
115#11718621C2211yescharacteristic
116#11718621C2211yescharacteristic
117#11718621C2211yescharacteristic
118#11718620C2211yescharacteristic, complemented
119#11718620C2211yescharacteristic, complemented
120#11718619C2211yescharacteristic, complemented
121#11718619C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic, complemented
124#11718617C2211yescharacteristic, complemented
125#11718617C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic, complemented
128#11718617C2211yescharacteristic, complemented
129#11718612C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic, complemented
132#11718609C2211yescharacteristic, complemented
133#11718609C2211yescharacteristic, complemented
134#11718606C2211yescharacteristic, complemented
135#11718606C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718604C2211yescharacteristic, complemented
139#11718604C2211yescharacteristic, complemented
140#11718603C2211yescharacteristic, complemented
141#11718603C2211yescharacteristic, complemented
142C22⋊C4×Dic13C2211yescharacteristic, complemented
143C22⋊C4×Dic13C2211yescharacteristic, complemented
144#11718601C2211yescharacteristic, complemented
145#11718601C2211yescharacteristic, complemented
146C4×#6103C2211yescharacteristic, complemented
147C4×#6103C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718337C2211yescharacteristic, complemented
150#11718333C2211yescharacteristic, complemented
151#11718332C2211yescharacteristic
152#11718331C2211yescharacteristic, complemented
153#11718331C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic, complemented
155#11718330C2211yescharacteristic, complemented
156#11718328C2211yescharacteristic, complemented
157#11718328C2211yescharacteristic, complemented
158#11718327C2211yescharacteristic, complemented
159#11718327C2211yescharacteristic, complemented
160#11718326C2211yescharacteristic, complemented
161#11718326C2211yescharacteristic, complemented
162#11718326C2211yescharacteristic, complemented
163#11718326C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic, complemented
165#11718326C2211yescharacteristic, complemented
166#11718325C2211yescharacteristic, complemented
167#11718325C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic, complemented
169#11718325C2211yescharacteristic, complemented
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178D13×#95C2211yescharacteristic
179D13×#95C2211yescharacteristic
180#11718321C2211yescharacteristic, complemented
181#11718321C2211yescharacteristic, complemented
182#11718320C2211yescharacteristic, complemented
183#11718319C2211yescharacteristic, complemented
184#11718319C2211yescharacteristic, complemented
185#11718316C2211yescharacteristic, complemented
186#11718315C2211yescharacteristic, complemented
187#11718314C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C24×D13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C2×D4×D13—24no—
208C2×D4×D13—24no—
209C2×D4×D13—24no—
210C2×D4×D13—24no—
211C2×D4×D13—24no—
212C2×D4×D13—24no—
213C2×D4×D13—24no—
214C2×D4×D13—42no—
215C2×D4×D13—42no—
216C22×D52C2311yescharacteristic
217C22×D52C2311yescharacteristic
218C22×D52C2311yescharacteristic
219C22×C4×D13—24no—
220C22×C4×D13—24no—
221C22×C4×D13—24no—
222C22×C4×D13—24no—
223C22×C4×D13—24no—
224C22×C4×D13—24no—
225C22×C4×D13—42no—
226C22×C4×D13—42no—
227C22×C4×D13—42no—
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C22×C4×D13C2311yescharacteristic
240C22×C4×D13C2311yescharacteristic
241C22×C4×D13C2311yescharacteristic
242C22×C4×D13C2311yescharacteristic
243C22×C4×D13C2311yescharacteristic
244C22×C4×D13C2311yescharacteristic
245C22×C4×D13C2311yescharacteristic
246C13×#123—24no—
247C4×D4×C13—24no—
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263C2×C13×C22⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C42×C13C2311yescharacteristic
266C2×C42×C13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279#88189—24no—
280D4×Dic13—24no—
281#88183—24no—
282C4×C22⋊D13—24no—
283C4×C22⋊D13—24no—
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312C2×C4⋊Dic13C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329#88148—24no—
330#88148—24no—
331#88147—24no—
332C4⋊C4×D13—24no—
333C4⋊C4×D13—24no—
334C4⋊C4×D13—24no—
335C4⋊C4×D13—24no—
336C4⋊C4×D13—42no—
337#88140—24no—
338#88137—24no—
339#88137—24no—
340#88135—24no—
341#88135—24no—
342C22⋊C4×D13—24no—
343C22⋊C4×D13—24no—
344C22⋊C4×D13—24no—
345C22⋊C4×D13—24no—
346C22⋊C4×D13—24no—
347C22⋊C4×D13—24no—
348C22⋊C4×D13—42no—
349C22⋊C4×D13—42no—
350C22⋊C4×D13—42no—
351C22⋊C4×D13—42no—
352C22⋊C4×D13—42no—
353C22⋊C4×D13D418yescomplemented
354C4×D52—24no—
355C42×D13—24no—
356C42×D13—42no—
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#88071C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395#88071C2311yescharacteristic
396#88071C2311yescharacteristic
397C2×#2457—131nomaximal, Sylow
398C24×C13C2411yescharacteristic
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—22no—
408C23×D13—22no—
409C23×D13—22no—
410C23×D13—22no—
411C23×D13—22no—
412C23×D13—22no—
413C23×D13—22no—
414C23×D13—22no—
415C23×D13—22no—
416C23×D13—22no—
417C23×D13—22no—
418C23×D13—22no—
419C23×D13C2×D414yes—
420C23×D13#4114yes—
421C23×D13#4114yes—
422C23×D13C2411yescharacteristic
423C23×D13C2411yescharacteristic
424C23×D13C2411yescharacteristic
425C23×D13C2411yescharacteristic
426C2×D4×C13—22no—
427C2×D4×C13—22no—
428C2×D4×C13—22no—
429C2×D4×C13—22no—
430C2×D4×C13—22no—
431C2×D4×C13—22no—
432C2×D4×C13—22no—
433C2×D4×C13—41no—
434C2×D4×C13—41no—
435C22×C4×C13—22no—
436C22×C4×C13—22no—
437C22×C4×C13—22no—
438C22×C4×C13—22no—
439C22×C4×C13—22no—
440C22×C4×C13—22no—
441C22×C4×C13—41no—
442C22×C4×C13—41no—
443C22×C4×C13—41no—
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C22×C4×C13C2411yescharacteristic
454C22×C4×C13C2411yescharacteristic
455C22×C4×C13C2411yescharacteristic
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—22no—
462C2×C22⋊D13—22no—
463C2×C22⋊D13—22no—
464C2×C22⋊D13—22no—
465C2×C22⋊D13—22no—
466C2×C22⋊D13—22no—
467C2×C22⋊D13—22no—
468C2×C22⋊D13—22no—
469C2×C22⋊D13—22no—
470C2×C22⋊D13—41no—
471C2×C22⋊D13—41no—
472C2×C22⋊D13—41no—
473C2×C22⋊D13—41no—
474C22×Dic13—22no—
475C22×Dic13—22no—
476C22×Dic13—22no—
477C22×Dic13—22no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—41no—
481C22×Dic13—41no—
482C22×Dic13—41no—
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494C22×Dic13C2411yescharacteristic
495D4×D13—232no—
496D4×D13—416no—
497D4×D13—416no—
498C2×D52—22no—
499C2×D52—22no—
500C2×D52—22no—
501C2×D52—22no—
502C2×D52—22no—
503C2×D52—22no—
504C2×D52—22no—
505C2×D52—41no—
506C2×D52—41no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—22no—
517C2×C4×D13—22no—
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×C4×D13—22no—
522C2×C4×D13—22no—
523C2×C4×D13—22no—
524C2×C4×D13—22no—
525C2×C4×D13—22no—
526C2×C4×D13—22no—
527C2×C4×D13—22no—
528C2×C4×D13—22no—
529C2×C4×D13—22no—
530C2×C4×D13—22no—
531C2×C4×D13—22no—
532C2×C4×D13—22no—
533C2×C4×D13—22no—
534C2×C4×D13—22no—
535C2×C4×D13—22no—
536C2×C4×D13—22no—
537C2×C4×D13—22no—
538C2×C4×D13—22no—
539C2×C4×D13—22no—
540C2×C4×D13—22no—
541C2×C4×D13—22no—
542C2×C4×D13—22no—
543C2×C4×D13—22no—
544C2×C4×D13—22no—
545C2×C4×D13—22no—
546C2×C4×D13—22no—
547C2×C4×D13—22no—
548C2×C4×D13—22no—
549C2×C4×D13—22no—
550C2×C4×D13—22no—
551C2×C4×D13—416no—
552C2×C4×D13—416no—
553C2×C4×D13—416no—
554C2×C4×D13—41no—
555C2×C4×D13—41no—
556C2×C4×D13—41no—
557C2×C4×D13—41no—
558C2×C4×D13—41no—
559C2×C4×D13—41no—
560C2×C4×D13C2×D414yes—
561C2×C4×D13C2×D414yes—
562C2×C4×D13#4114yes—
563C2×C4×D13#4114yes—
564C13×C4⋊C4—22no—
565C13×C4⋊C4—22no—
566C13×C4⋊C4—22no—
567C13×C4⋊C4—22no—
568C13×C4⋊C4—41no—
569C13×C22⋊C4—22no—
570C13×C22⋊C4—22no—
571C13×C22⋊C4—22no—
572C13×C22⋊C4—22no—
573C13×C22⋊C4—22no—
574C13×C22⋊C4—22no—
575C13×C22⋊C4—41no—
576C13×C22⋊C4—41no—
577C13×C22⋊C4—41no—
578C13×C22⋊C4—41no—
579C13×C22⋊C4—41no—
580C13×C22⋊C4C2×D414yescomplemented
581C42×C13—22no—
582C42×C13—41no—
583C22⋊Dic13—22no—
584C22⋊Dic13—22no—
585C22⋊Dic13—22no—
586C22⋊Dic13—22no—
587C22⋊Dic13—22no—
588C22⋊Dic13—22no—
589C22⋊Dic13—41no—
590C22⋊Dic13—41no—
591C22⋊Dic13—41no—
592C22⋊Dic13—41no—
593C22⋊Dic13—41no—
594C22⋊Dic13C2×D414yescomplemented
595#6103—22no—
596#6103—22no—
597#6103—22no—
598#6103—22no—
599#6103—22no—
600#6103—22no—
601#6103—22no—
602#6103—22no—
603#6103—22no—
604#6103—22no—
605#6103—22no—
606#6103—22no—
607#6103—41no—
608#6103—41no—
609#6103—41no—
610#6103—41no—
611#6103—41no—
612#6103—41no—
613#6103—41no—
614#6103—41no—
615#6103—41no—
616#6103—41no—
617#6103C2×D414yescomplemented
618#6103C2×D414yescomplemented
619C4⋊Dic13—22no—
620C4⋊Dic13—22no—
621C4⋊Dic13—22no—
622C4⋊Dic13—22no—
623C4⋊Dic13—41no—
624#6101—22no—
625#6101—22no—
626#6101—22no—
627#6101—22no—
628#6101—22no—
629#6101—22no—
630#6101—22no—
631#6101—22no—
632#6101—41no—
633#6101—41no—
634C4×Dic13—22no—
635C4×Dic13—22no—
636C4×Dic13—22no—
637C4×Dic13—41no—
638C4×Dic13—41no—
639C4×Dic13—41no—
640C22×#123—131no—
641C22×C4×D4—131no—
642#2457—131no—
643#2457—131no—
644#2457—131no—
645#2457—131no—
646#2457—131no—
647#2457—131no—
648#2457—131no—
649#2457—131no—
650#2457—131no—
651#2457—131no—
652#2457—131no—
653#2457—131no—
654#2457—131no—
655#2457—131no—
656#2457—131no—
657#2457D1311yescharacteristic, direct product factor
658C2×#400—131no—
659C2×#396—131no—
660C2×#394—131no—
661C2×#392—131no—
662C2×#388—131no—
663C2×#388—131no—
664C2×#387—131no—
665C2×#386—131no—
666C2×#386—131no—
667C2×#386—131no—
668C2×#381—131no—
669C2×#380—131no—
670C2×C4×C22⋊C4—131no—
671C23×C13—21no—
672C23×C13—21no—
673C23×C13—21no—
674C23×C13—21no—
675C23×C13—21no—
676C23×C13—21no—
677C23×C13—21no—
678C23×C13—21no—
679C23×C13—21no—
680C23×C13—21no—
681C23×C13—21no—
682C23×C13—21no—
683C23×C13—21no—
684C23×C13—21no—
685C23×C13—21no—
686C23×C13—21no—
687C23×C13—21no—
688C23×C13—21no—
689C23×C13C22×D412yes—
690C23×C13C2×#4112yes—
691C23×C13C2×#4112yes—
692C23×C13C2511yescharacteristic
693C22×D13—21no—
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701C22×D13—21no—
702C22×D13—21no—
703C22×D13—21no—
704C22×D13—21no—
705C22×D13—21no—
706C22×D13—21no—
707C22×D13—21no—
708C22×D13—21no—
709C22×D13—21no—
710C22×D13—21no—
711C22×D13—28no—
712C22×D13—28no—
713C22×D13—28no—
714C22×D13—28no—
715C22×D13—28no—
716C22×D13—28no—
717C22×D13—28no—
718C22×D13—28no—
719C22×D13—28no—
720C22×D13—44no—
721C22×D13—44no—
722C22×D13—44no—
723C22×D13—44no—
724C22×D13—44no—
725C22×D13—44no—
726C22×D13—44no—
727C22×D13—44no—
728C22×D13—44no—
729C22×D13—44no—
730C22×D13—44no—
731C22×D13—44no—
732C22×D13C22×D412yes—
733C22×D13C22×D412yes—
734C22×D13C2×#4112yes—
735C22×D13C2×#4112yes—
736C22×D13C2×#4112yes—
737C22×D13C2×#4112yes—
738C22×D13C2×#4112yes—
739C22×D13C2×#4112yes—
740C22×D13H(5,𝔽2)12yes—
741C22×D13H(5,𝔽2)12yes—
742D4×C13—28no—
743D4×C13—44no—
744D4×C13—44no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—44no—
778C2×C4×C13—44no—
779C2×C4×C13—44no—
780C2×C4×C13C22×D412yes—
781C2×C4×C13C22×D412yes—
782C2×C4×C13C2×#4112yes—
783C2×C4×C13C2×#4112yes—
784C22⋊D13—28no—
785C22⋊D13—28no—
786C22⋊D13—44no—
787C22⋊D13—44no—
788C22⋊D13—44no—
789C22⋊D13—44no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—21no—
813C2×Dic13—21no—
814C2×Dic13—21no—
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—21no—
822C2×Dic13—44no—
823C2×Dic13—44no—
824C2×Dic13—44no—
825C2×Dic13C22×D412yes—
826C2×Dic13C22×D412yes—
827C2×Dic13C2×#4112yes—
828C2×Dic13C2×#4112yes—
829D52—28no—
830D52—44no—
831D52—44no—
832C4×D13—28no—
833C4×D13—28no—
834C4×D13—28no—
835C4×D13—28no—
836C4×D13—44no—
837C4×D13—44no—
838C4×D13—44no—
839C4×D13—44no—
840C4×D13—44no—
841C4×D13—44no—
842C4×D13—44no—
843C4×D13—44no—
844C4×D13—44no—
845C4×D13—44no—
846C4×D13—44no—
847C4×D13—44no—
848C4×D13—44no—
849C4×D13—44no—
850C23×D4—131no—
851C23×D4—131no—
852C23×D4—131no—
853C24×C4—131no—
854C24×C4—131no—
855C24×C4—131no—
856C2×#123—131no—
857C2×#123—131no—
858C2×#123—131no—
859C2×#123—131no—
860C2×#123—131no—
861C2×#123—131no—
862C2×#123—131no—
863C2×#123—268no—
864C2×#123C2×D1311yescharacteristic, complemented
865C2×C4×D4—131no—
866C2×C4×D4—131no—
867C2×C4×D4—131no—
868C2×C4×D4—131no—
869C2×C4×D4—131no—
870C2×C4×D4—131no—
871C2×C4×D4—131no—
872C2×C4×D4—268no—
873C2×C4×D4C2×D1311yescharacteristic, complemented
874C22×C4⋊C4—131no—
875C22×C4⋊C4—131no—
876C22×C4⋊C4—131no—
877C22×C4⋊C4—131no—
878C22×C4⋊C4—131no—
879C22×C22⋊C4—131no—
880C22×C22⋊C4—131no—
881C22×C22⋊C4—131no—
882C22×C22⋊C4—131no—
883C22×C22⋊C4—131no—
884C22×C22⋊C4—131no—
885C22×C22⋊C4—131no—
886C22×C22⋊C4—131no—
887C22×C22⋊C4—131no—
888C22×C22⋊C4—131no—
889C22×C22⋊C4—131no—
890C22×C22⋊C4—131no—
891C22×C42—131no—
892C22×C42—131no—
893#400—131no—
894#400—131no—
895#400—131no—
896#400—131no—
897#400—131no—
898#400—131no—
899#400—131no—
900#400C2×D1311yescharacteristic, complemented
901#396—131no—
902#396—131no—
903#396—131no—
904#396—131no—
905#396—131no—
906#396—131no—
907#396—131no—
908#396C2×D1311yescharacteristic, complemented
909#394—131no—
910#394—131no—
911#394—131no—
912#394—131no—
913#394—131no—
914#394—131no—
915#394—131no—
916#394C2×D1311yescharacteristic, complemented
917#392—131no—
918#392—131no—
919#392—131no—
920#392—131no—
921#392—131no—
922#392—131no—
923#392—131no—
924#392C2×D1311yescharacteristic
925#388—131no—
926#388—131no—
927#388—131no—
928#388—131no—
929#388—131no—
930#388—131no—
931#388—131no—
932#388—131no—
933#388—131no—
934#388—131no—
935#388—131no—
936#388—131no—
937#388—131no—
938#388—131no—
939#388C2×D1311yescharacteristic, complemented
940#388C2×D1311yescharacteristic, complemented
941#387—131no—
942#387—131no—
943#387—131no—
944#387—131no—
945#387—131no—
946#387—131no—
947#387—131no—
948#387C2×D1311yescharacteristic, complemented
949#386—131no—
950#386—131no—
951#386—131no—
952#386—131no—
953#386—131no—
954#386—131no—
955#386—131no—
956#386—131no—
957#386—131no—
958#386—131no—
959#386—131no—
960#386—131no—
961#386—131no—
962#386—131no—
963#386—131no—
964#386—131no—
965#386—131no—
966#386—131no—
967#386—131no—
968#386—131no—
969#386—131no—
970#386C2×D1311yescharacteristic, complemented
971#386C2×D1311yescharacteristic, complemented
972#386C2×D1311yescharacteristic, complemented
973#381—131no—
974#381—131no—
975#381—131no—
976#381—131no—
977#381—131no—
978#381—131no—
979#381—131no—
980#381C2×D1311yescharacteristic, complemented
981#380—131no—
982#380—131no—
983#380—131no—
984#380—131no—
985#380—131no—
986#380—131no—
987#380—131no—
988#380C2×D1311yescharacteristic, complemented
989C4×C22⋊C4—131no—
990C4×C22⋊C4—131no—
991C4×C22⋊C4—131no—
992C4×C22⋊C4—131no—
993C4×C22⋊C4—131no—
994C4×C22⋊C4—131no—
995C4×C22⋊C4—131no—
996C4×C22⋊C4C2×D1311yescharacteristic, complemented
997C2×#95—131no—
998C2×#95—131no—
999C2×#95—131no—
1000C2×#95—131no—
1001C2×#95—131no—
1002C2×#95—131no—
1003C2×#95—131no—
1004C2×#95—131no—
1005C2×#95—131no—
1006C2×#95—131no—
1007C22×C13—22no—
1008C22×C13—22no—
1009C22×C13—22no—
1010C22×C13—22no—
1011C22×C13—22no—
1012C22×C13—22no—
1013C22×C13—22no—
1014C22×C13—22no—
1015C22×C13—22no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—41no—
1025C22×C13—41no—
1026C22×C13—41no—
1027C22×C13—41no—
1028C22×C13C23×D411yescharacteristic
1029C22×C13C22×#4111yescharacteristic
1030C22×C13C22×#4111yescharacteristic
1031C22×C13C22×#4111yescharacteristic
1032C22×C13C22×#4111yescharacteristic
1033C22×C13C2×H(5,𝔽2)11yescharacteristic
1034C22×C13C2×H(5,𝔽2)11yescharacteristic
1035C2×D13—22no—
1036C2×D13—22no—
1037C2×D13—22no—
1038C2×D13—22no—
1039C2×D13—22no—
1040C2×D13—22no—
1041C2×D13—22no—
1042C2×D13—22no—
1043C2×D13—22no—
1044C2×D13—41no—
1045C2×D13—41no—
1046C2×D13—41no—
1047C2×D13—41no—
1048C2×D13—41no—
1049C2×D13—41no—
1050C2×D13—41no—
1051C2×D13—41no—
1052C2×D13—41no—
1053C2×D13—41no—
1054C2×D13—41no—
1055C2×D13—41no—
1056C2×D13—416no—
1057C2×D13—416no—
1058C2×D13—416no—
1059C2×D13#52514yes—
1060C2×D13#52914yes—
1061C2×D13#54014yes—
1062C2×D13#54614yes—
1063C2×D13#54614yes—
1064C2×D13#55114yes—
1065C2×D13#55314yes—
1066C4×C13—22no—
1067C4×C13—22no—
1068C4×C13—22no—
1069C4×C13—22no—
1070C4×C13—41no—
1071C4×C13—41no—
1072C4×C13—41no—
1073C4×C13—41no—
1074C4×C13—41no—
1075C4×C13—41no—
1076C4×C13—41no—
1077C4×C13—41no—
1078Dic13—22no—
1079Dic13—22no—
1080Dic13—22no—
1081Dic13—22no—
1082Dic13—41no—
1083Dic13—41no—
1084Dic13—41no—
1085Dic13—41no—
1086Dic13—41no—
1087Dic13—41no—
1088Dic13—41no—
1089Dic13—41no—
1090C25—131no—
1091C25—131no—
1092C25—131no—
1093C22×D4—131no—
1094C22×D4—131no—
1095C22×D4—131no—
1096C22×D4—131no—
1097C22×D4—131no—
1098C22×D4—131no—
1099C22×D4—131no—
1100C22×D4—131no—
1101C22×D4—131no—
1102C22×D4—264no—
1103C22×D4—264no—
1104C22×D4—264no—
1105C22×D4—264no—
1106C22×D4—264no—
1107C22×D4—264no—
1108C22×D4—264no—
1109C22×D4—522no—
1110C22×D4—522no—
1111C22×D4C22×D1311yescharacteristic
1112C22×D4C22×D1311yescharacteristic
1113C22×D4C22×D1311yescharacteristic
1114C23×C4—131no—
1115C23×C4—131no—
1116C23×C4—131no—
1117C23×C4—131no—
1118C23×C4—131no—
1119C23×C4—131no—
1120C23×C4—131no—
1121C23×C4—131no—
1122C23×C4—131no—
1123C23×C4—131no—
1124C23×C4—131no—
1125C23×C4—131no—
1126C23×C4—131no—
1127C23×C4—131no—
1128C23×C4—131no—
1129C23×C4—131no—
1130C23×C4—131no—
1131C23×C4—131no—
1132C23×C4—131no—
1133C23×C4—131no—
1134C23×C4—131no—
1135C23×C4—264no—
1136C23×C4—264no—
1137C23×C4—264no—
1138C23×C4—264no—
1139C23×C4—264no—
1140C23×C4—264no—
1141C23×C4—522no—
1142C23×C4—522no—
1143C23×C4—522no—
1144C23×C4C22×D1311yescharacteristic
1145C23×C4C22×D1311yescharacteristic
1146C23×C4C22×D1311yescharacteristic
1147#123—24no—
1148#123—264no—
1149#123—264no—
1150#123—264no—
1151#123—264no—
1152#123—264no—
1153#123—264no—
1154#123—264no—
1155C4×D4—24no—
1156C4×D4—264no—
1157C4×D4—264no—
1158C4×D4—264no—
1159C4×D4—264no—
1160C4×D4—264no—
1161C4×D4—264no—
1162C4×D4—264no—
1163C2×C4⋊C4—131no—
1164C2×C4⋊C4—131no—
1165C2×C4⋊C4—131no—
1166C2×C4⋊C4—131no—
1167C2×C4⋊C4—131no—
1168C2×C4⋊C4—131no—
1169C2×C4⋊C4—131no—
1170C2×C4⋊C4—131no—
1171C2×C4⋊C4—131no—
1172C2×C4⋊C4—131no—
1173C2×C4⋊C4—131no—
1174C2×C4⋊C4—131no—
1175C2×C4⋊C4—131no—
1176C2×C4⋊C4—131no—
1177C2×C4⋊C4—131no—
1178C2×C4⋊C4—264no—
1179C2×C4⋊C4—264no—
1180C2×C4⋊C4—264no—
1181C2×C4⋊C4—264no—
1182C2×C4⋊C4—522no—
1183C2×C4⋊C4C22×D1311yescharacteristic
1184C2×C4⋊C4C22×D1311yescharacteristic
1185C2×C4⋊C4C22×D1311yescharacteristic
1186C2×C4⋊C4C22×D1311yescharacteristic
1187C2×C4⋊C4C22×D1311yescharacteristic
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—138no—
1192C2×C22⋊C4—131no—
1193C2×C22⋊C4—131no—
1194C2×C22⋊C4—131no—
1195C2×C22⋊C4—131no—
1196C2×C22⋊C4—131no—
1197C2×C22⋊C4—131no—
1198C2×C22⋊C4—131no—
1199C2×C22⋊C4—131no—
1200C2×C22⋊C4—131no—
1201C2×C22⋊C4—131no—
1202C2×C22⋊C4—131no—
1203C2×C22⋊C4—131no—
1204C2×C22⋊C4—131no—
1205C2×C22⋊C4—131no—
1206C2×C22⋊C4—131no—
1207C2×C22⋊C4—131no—
1208C2×C22⋊C4—131no—
1209C2×C22⋊C4—131no—
1210C2×C22⋊C4—131no—
1211C2×C22⋊C4—131no—
1212C2×C22⋊C4—131no—
1213C2×C22⋊C4—131no—
1214C2×C22⋊C4—131no—
1215C2×C22⋊C4—131no—
1216C2×C22⋊C4—131no—
1217C2×C22⋊C4—131no—
1218C2×C22⋊C4—131no—
1219C2×C22⋊C4—131no—
1220C2×C22⋊C4—131no—
1221C2×C22⋊C4—131no—
1222C2×C22⋊C4—131no—
1223C2×C22⋊C4—131no—
1224C2×C22⋊C4—131no—
1225C2×C22⋊C4—264no—
1226C2×C22⋊C4—264no—
1227C2×C22⋊C4—264no—
1228C2×C22⋊C4—264no—
1229C2×C22⋊C4—264no—
1230C2×C22⋊C4—264no—
1231C2×C22⋊C4—522no—
1232C2×C22⋊C4—522no—
1233C2×C22⋊C4—522no—
1234C2×C22⋊C4—522no—
1235C2×C22⋊C4—522no—
1236C2×C22⋊C4C22×D1311yescharacteristic
1237C2×C22⋊C4C22×D1311yescharacteristic
1238C2×C22⋊C4C22×D1311yescharacteristic
1239C2×C22⋊C4C22×D1311yescharacteristic
1240C2×C22⋊C4C22×D1311yescharacteristic
1241C2×C22⋊C4C22×D1311yescharacteristic
1242C2×C22⋊C4C22×D1311yescharacteristic
1243C2×C22⋊C4C22×D1311yescharacteristic
1244C2×C22⋊C4C22×D1311yescharacteristic
1245C2×C22⋊C4C22×D1311yescharacteristic
1246C2×C22⋊C4C22×D1311yescharacteristic
1247C2×C22⋊C4C22×D1311yescharacteristic
1248C2×C42—131no—
1249C2×C42—131no—
1250C2×C42—131no—
1251C2×C42—131no—
1252C2×C42—131no—
1253C2×C42—131no—
1254C2×C42—264no—
1255C2×C42—522no—
1256C2×C42C22×D1311yescharacteristic
1257C2×C42C22×D1311yescharacteristic
1258#95—131no—
1259#95—131no—
1260#95—131no—
1261#95—131no—
1262#95—131no—
1263#95—131no—
1264#95—131no—
1265#95—131no—
1266#95—131no—
1267#95—131no—
1268#95—131no—
1269#95—131no—
1270#95—131no—
1271#95—131no—
1272#95—131no—
1273#95—131no—
1274#95—131no—
1275#95—131no—
1276#95—131no—
1277#95—131no—
1278#95—131no—
1279#95—131no—
1280#95—131no—
1281#95—131no—
1282#95—131no—
1283#95—131no—
1284#95—131no—
1285#95—131no—
1286#95—131no—
1287#95—131no—
1288#95C22×D1311yescharacteristic
1289#95C22×D1311yescharacteristic
1290#95C22×D1311yescharacteristic
1291#95C22×D1311yescharacteristic
1292#95C22×D1311yescharacteristic
1293#95C22×D1311yescharacteristic
1294#95C22×D1311yescharacteristic
1295#95C22×D1311yescharacteristic
1296#95C22×D1311yescharacteristic
1297#95C22×D1311yescharacteristic
1298C2×C13—42no—
1299C2×C13—42no—
1300C2×C13—42no—
1301C2×C13C2×#52511yescharacteristic
1302C2×C13C2×#52911yescharacteristic
1303C2×C13C2×#54011yescharacteristic
1304C2×C13C2×#54611yescharacteristic
1305C2×C13C2×#54611yescharacteristic
1306C2×C13C2×#55111yescharacteristic
1307C2×C13C2×#55311yescharacteristic
1308D13—42no—
1309D13—42no—
1310D13—42no—
1311D13#245718yesdirect product factor
1312C24—131no—
1313C24—134no—
1314C24—134no—
1315C24—134no—
1316C24—131no—
1317C24—131no—
1318C24—131no—
1319C24—262no—
1320C24—262no—
1321C24—262no—
1322C24—262no—
1323C24—262no—
1324C24—262no—
1325C24—262no—
1326C24—262no—
1327C24—262no—
1328C24—262no—
1329C24—262no—
1330C24—262no—
1331C24—262no—
1332C24—262no—
1333C24—262no—
1334C24—262no—
1335C24—262no—
1336C24—262no—
1337C24C23×D1311yescharacteristic
1338C24C23×D1311yescharacteristic
1339C24C23×D1311yescharacteristic
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—262no—
1350C2×D4—262no—
1351C2×D4—262no—
1352C2×D4—262no—
1353C2×D4—262no—
1354C2×D4—262no—
1355C2×D4—262no—
1356C2×D4—262no—
1357C2×D4—2632no—
1358C2×D4—262no—
1359C2×D4—262no—
1360C2×D4—262no—
1361C2×D4—262no—
1362C2×D4—262no—
1363C2×D4—262no—
1364C2×D4—262no—
1365C2×D4—262no—
1366C2×D4—262no—
1367C2×D4—262no—
1368C2×D4—262no—
1369C2×D4—262no—
1370C2×D4—262no—
1371C2×D4—521no—
1372C2×D4—521no—
1373C2×D4—521no—
1374C2×D4—521no—
1375C2×D4—521no—
1376C2×D4—521no—
1377C2×D4—5216no—
1378C2×D4—5216no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—131no—
1389C22×C4—131no—
1390C22×C4—131no—
1391C22×C4—131no—
1392C22×C4—134no—
1393C22×C4—134no—
1394C22×C4—134no—
1395C22×C4—134no—
1396C22×C4—131no—
1397C22×C4—131no—
1398C22×C4—131no—
1399C22×C4—131no—
1400C22×C4—131no—
1401C22×C4—131no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—262no—
1405C22×C4—262no—
1406C22×C4—262no—
1407C22×C4—262no—
1408C22×C4—262no—
1409C22×C4—262no—
1410C22×C4—262no—
1411C22×C4—262no—
1412C22×C4—262no—
1413C22×C4—262no—
1414C22×C4—262no—
1415C22×C4—262no—
1416C22×C4—262no—
1417C22×C4—262no—
1418C22×C4—262no—
1419C22×C4—262no—
1420C22×C4—262no—
1421C22×C4—262no—
1422C22×C4—262no—
1423C22×C4—262no—
1424C22×C4—262no—
1425C22×C4—262no—
1426C22×C4—262no—
1427C22×C4—262no—
1428C22×C4—262no—
1429C22×C4—262no—
1430C22×C4—262no—
1431C22×C4—262no—
1432C22×C4—262no—
1433C22×C4—262no—
1434C22×C4—262no—
1435C22×C4—262no—
1436C22×C4—262no—
1437C22×C4—262no—
1438C22×C4—262no—
1439C22×C4—262no—
1440C22×C4—262no—
1441C22×C4—262no—
1442C22×C4—262no—
1443C22×C4—262no—
1444C22×C4—262no—
1445C22×C4—262no—
1446C22×C4—262no—
1447C22×C4—262no—
1448C22×C4—262no—
1449C22×C4—262no—
1450C22×C4—262no—
1451C22×C4—262no—
1452C22×C4—262no—
1453C22×C4—262no—
1454C22×C4—521no—
1455C22×C4—521no—
1456C22×C4—521no—
1457C22×C4—521no—
1458C22×C4—521no—
1459C22×C4—521no—
1460C22×C4—5216no—
1461C22×C4—5216no—
1462C22×C4—5216no—
1463C22×C4—521no—
1464C22×C4—521no—
1465C22×C4—521no—
1466C22×C4C23×D1311yescharacteristic
1467C22×C4C23×D1311yescharacteristic
1468C22×C4C23×D1311yescharacteristic
1469C22×C4C23×D1311yescharacteristic
1470C22×C4C23×D1311yescharacteristic
1471C22×C4C23×D1311yescharacteristic
1472C22×C4C23×D1311yescharacteristic
1473C22×C4C23×D1311yescharacteristic
1474C22×C4C23×D1311yescharacteristic
1475C22×C4C23×D1311yescharacteristic
1476C22×C4C23×D1311yescharacteristic
1477C22×C4C23×D1311yescharacteristic
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—41no—
1483C4⋊C4—262no—
1484C4⋊C4—262no—
1485C4⋊C4—262no—
1486C4⋊C4—262no—
1487C4⋊C4—262no—
1488C4⋊C4—262no—
1489C4⋊C4—262no—
1490C4⋊C4—262no—
1491C4⋊C4—262no—
1492C4⋊C4—262no—
1493C4⋊C4—262no—
1494C4⋊C4—262no—
1495C4⋊C4—521no—
1496C4⋊C4—521no—
1497C4⋊C4—521no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—134no—
1510C22⋊C4—134no—
1511C22⋊C4—134no—
1512C22⋊C4—262no—
1513C22⋊C4—262no—
1514C22⋊C4—262no—
1515C22⋊C4—262no—
1516C22⋊C4—262no—
1517C22⋊C4—262no—
1518C22⋊C4—262no—
1519C22⋊C4—262no—
1520C22⋊C4—262no—
1521C22⋊C4—262no—
1522C22⋊C4—262no—
1523C22⋊C4—262no—
1524C22⋊C4—262no—
1525C22⋊C4—262no—
1526C22⋊C4—262no—
1527C22⋊C4—262no—
1528C22⋊C4—262no—
1529C22⋊C4—262no—
1530C22⋊C4—521no—
1531C22⋊C4—521no—
1532C22⋊C4—521no—
1533C22⋊C4—521no—
1534C22⋊C4—521no—
1535C22⋊C4—521no—
1536C22⋊C4—521no—
1537C22⋊C4—521no—
1538C22⋊C4—521no—
1539C22⋊C4—521no—
1540C22⋊C4—521no—
1541C22⋊C4—521no—
1542C22⋊C4—521no—
1543C22⋊C4—521no—
1544C22⋊C4—521no—
1545C22⋊C4D4×D1314yescomplemented
1546C42—22no—
1547C42—41no—
1548C42—262no—
1549C42—262no—
1550C42—262no—
1551C42—521no—
1552C42—521no—
1553C42—521no—
1554C13C2×#245711yescharacteristic, complemented, Sylow
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—132no—
1574C23—132no—
1575C23—132no—
1576C23—132no—
1577C23—132no—
1578C23—132no—
1579C23—132no—
1580C23—132no—
1581C23—132no—
1582C23—132no—
1583C23—268no—
1584C23—268no—
1585C23—268no—
1586C23—268no—
1587C23—268no—
1588C23—268no—
1589C23—268no—
1590C23—268no—
1591C23—268no—
1592C23—261no—
1593C23—261no—
1594C23—261no—
1595C23—261no—
1596C23—261no—
1597C23—261no—
1598C23—261no—
1599C23—261no—
1600C23—261no—
1601C23—261no—
1602C23—261no—
1603C23—261no—
1604C23—261no—
1605C23—261no—
1606C23—261no—
1607C23—261no—
1608C23—261no—
1609C23—261no—
1610C23—524no—
1611C23—524no—
1612C23—524no—
1613C23—524no—
1614C23—524no—
1615C23—524no—
1616C23—524no—
1617C23—524no—
1618C23—524no—
1619C23—524no—
1620C23—524no—
1621C23—524no—
1622C23C2×D4×D1312yes—
1623C23#41×D1312yes—
1624C23#41×D1312yes—
1625C23C24×D1311yescharacteristic
1626D4—28no—
1627D4—44no—
1628D4—44no—
1629D4—268no—
1630D4—268no—
1631D4—268no—
1632D4—524no—
1633D4—524no—
1634D4—524no—
1635D4—524no—
1636D4—524no—
1637D4—524no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—132no—
1674C2×C4—132no—
1675C2×C4—132no—
1676C2×C4—132no—
1677C2×C4—268no—
1678C2×C4—268no—
1679C2×C4—268no—
1680C2×C4—268no—
1681C2×C4—261no—
1682C2×C4—261no—
1683C2×C4—261no—
1684C2×C4—261no—
1685C2×C4—261no—
1686C2×C4—261no—
1687C2×C4—261no—
1688C2×C4—261no—
1689C2×C4—261no—
1690C2×C4—261no—
1691C2×C4—261no—
1692C2×C4—261no—
1693C2×C4—261no—
1694C2×C4—261no—
1695C2×C4—261no—
1696C2×C4—261no—
1697C2×C4—261no—
1698C2×C4—261no—
1699C2×C4—261no—
1700C2×C4—261no—
1701C2×C4—261no—
1702C2×C4—261no—
1703C2×C4—261no—
1704C2×C4—261no—
1705C2×C4—261no—
1706C2×C4—261no—
1707C2×C4—261no—
1708C2×C4—261no—
1709C2×C4—261no—
1710C2×C4—261no—
1711C2×C4—261no—
1712C2×C4—261no—
1713C2×C4—524no—
1714C2×C4—524no—
1715C2×C4—524no—
1716C2×C4—524no—
1717C2×C4—524no—
1718C2×C4—524no—
1719C2×C4—524no—
1720C2×C4—524no—
1721C2×C4—524no—
1722C2×C4—524no—
1723C2×C4—524no—
1724C2×C4—524no—
1725C2×C4—524no—
1726C2×C4—524no—
1727C2×C4—524no—
1728C2×C4—524no—
1729C2×C4—524no—
1730C2×C4C2×D4×D1312yes—
1731C2×C4C2×D4×D1312yes—
1732C2×C4#41×D1312yes—
1733C2×C4#41×D1312yes—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—134no—
1756C22—134no—
1757C22—134no—
1758C22—134no—
1759C22—134no—
1760C22—134no—
1761C22—134no—
1762C22—262no—
1763C22—262no—
1764C22—262no—
1765C22—262no—
1766C22—262no—
1767C22—262no—
1768C22—262no—
1769C22—262no—
1770C22—262no—
1771C22—5216no—
1772C22—5216no—
1773C22—5216no—
1774C22—521no—
1775C22—521no—
1776C22—521no—
1777C22—521no—
1778C22—521no—
1779C22—521no—
1780C22—521no—
1781C22—521no—
1782C22—521no—
1783C22—521no—
1784C22—521no—
1785C22—521no—
1786C22C22×D4×D1311yescharacteristic
1787C22C2×#41×D1311yescharacteristic
1788C22C2×#41×D1311yescharacteristic
1789C22C2×#41×D1311yescharacteristic
1790C22C2×#41×D1311yescharacteristic
1791C22D13×H(5,𝔽2)11yescharacteristic
1792C22D13×H(5,𝔽2)11yescharacteristic
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—262no—
1806C4—262no—
1807C4—262no—
1808C4—262no—
1809C4—521no—
1810C4—521no—
1811C4—521no—
1812C4—521no—
1813C4—521no—
1814C4—521no—
1815C4—521no—
1816C4—521no—
1817C2—42no—
1818C2—42no—
1819C2—42no—
1820C2—138no—
1821C2—522no—
1822C2—522no—
1823C2—522no—
1824C2D13×#52511yescharacteristic
1825C2D13×#52911yescharacteristic
1826C2D13×#54011yescharacteristic
1827C2D13×#54611yescharacteristic
1828C2D13×#54611yescharacteristic
1829C2D13×#55111yescharacteristic
1830C2D13×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2457C2
prime radicalD13×#392C2
hypercenter#2457D13
hypocenterC13C2×#2457
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. C2×D13×#123C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13118750C2semidirect
4. #13118749C2semidirect
5. #13118748C2semidirect
6. #13118747C2semidirect
7. #13118746C2semidirect
8. #13118745C2semidirect
9. #13118744C2semidirect
10. #13118743C2semidirect
11. #13118742C2semidirect
12. #13118741C2semidirect
13. #13118740C2semidirect
14. #13118739C2semidirect
15. #13118738C2semidirect
16. #13118737C2semidirect
17. #13118736C2semidirect
18. D13×#400C2semidirect
19. D13×#396C2semidirect
20. D13×#394C2semidirect
22. D13×#388C2semidirect
23. D13×#388C2semidirect
24. D13×#387C2semidirect
25. D13×#386C2semidirect
26. D13×#386C2semidirect
27. D13×#386C2semidirect
28. D13×#381C2semidirect
29. D13×#380C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2457C2semidirect
38. C2×C13×#123C22semidirect
39. C2×C4×D4×C13C22semidirect
40. C2×#88189C22semidirect
41. C2×D4×Dic13C22semidirect
42. C2×#88183C22semidirect
43. C2×C4×C22⋊D13C22semidirect
44. C2×C4×C22⋊D13C22semidirect
47. C2×#88148C22semidirect
48. C2×#88148C22semidirect
49. C2×#88147C22semidirect
55. C2×#88140C22semidirect
56. C2×#88137C22semidirect
57. C2×#88137C22semidirect
58. C2×#88135C22semidirect
59. C2×#88135C22semidirect
72. C2×C4×D52C22semidirect
75. C13×#400C22semidirect
76. C13×#396C22semidirect
77. C13×#394C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#387C22semidirect
82. C13×#386C22semidirect
83. C13×#386C22semidirect
84. C13×#386C22semidirect
85. C13×#381C22semidirect
86. C13×#380C22semidirect
87. C4×C13×C22⋊C4C22semidirect
91. #11718883C22semidirect
92. #11718881C22semidirect
93. #11718881C22semidirect
94. #11718881C22semidirect
95. #11718874C22semidirect
96. #11718874C22semidirect
97. #11718874C22semidirect
98. #11718873C22semidirect
99. #11718872C22semidirect
100. C4×C22⋊Dic13C22semidirect
101. #11718655C22semidirect
102. #11718655C22semidirect
103. #11718655C22semidirect
104. #11718652C22semidirect
105. #11718651C22semidirect
106. #11718651C22semidirect
107. #11718648C22semidirect
108. #11718648C22semidirect
109. #11718647C22semidirect
110. #11718643C22semidirect
111. #11718642C22semidirect
112. #11718639C22semidirect
113. #11718622C22semidirect
114. #11718622C22semidirect
118. #11718620C22semidirect
119. #11718620C22semidirect
120. #11718619C22semidirect
121. #11718619C22semidirect
122. #11718619C22semidirect
123. #11718617C22semidirect
124. #11718617C22semidirect
125. #11718617C22semidirect
126. #11718617C22semidirect
127. #11718617C22semidirect
128. #11718617C22semidirect
129. #11718612C22semidirect
130. #11718612C22semidirect
131. #11718609C22semidirect
132. #11718609C22semidirect
133. #11718609C22semidirect
134. #11718606C22semidirect
135. #11718606C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
138. #11718604C22semidirect
139. #11718604C22semidirect
140. #11718603C22semidirect
141. #11718603C22semidirect
142. C22⋊C4×Dic13C22semidirect
143. C22⋊C4×Dic13C22semidirect
144. #11718601C22semidirect
145. #11718601C22semidirect
146. C4×#6103C22semidirect
147. C4×#6103C22semidirect
148. #11718594C22semidirect
149. #11718337C22semidirect
150. #11718333C22semidirect
152. #11718331C22semidirect
153. #11718331C22semidirect
154. #11718330C22semidirect
155. #11718330C22semidirect
156. #11718328C22semidirect
157. #11718328C22semidirect
158. #11718327C22semidirect
159. #11718327C22semidirect
160. #11718326C22semidirect
161. #11718326C22semidirect
162. #11718326C22semidirect
163. #11718326C22semidirect
164. #11718326C22semidirect
165. #11718326C22semidirect
166. #11718325C22semidirect
167. #11718325C22semidirect
168. #11718325C22semidirect
169. #11718325C22semidirect
180. #11718321C22semidirect
181. #11718321C22semidirect
182. #11718320C22semidirect
183. #11718319C22semidirect
184. #11718319C22semidirect
185. #11718316C22semidirect
186. #11718315C22semidirect
187. #11718314C22semidirect
188. #11718313C22semidirect
353. C22⋊C4×D13D4semidirect
580. C13×C22⋊C4C2×D4semidirect
594. C22⋊Dic13C2×D4semidirect
617. #6103C2×D4semidirect
618. #6103C2×D4semidirect
657. #2457D13direct (N × H)
864. C2×#123C2×D13semidirect
873. C2×C4×D4C2×D13semidirect
900. #400C2×D13semidirect
908. #396C2×D13semidirect
916. #394C2×D13semidirect
939. #388C2×D13semidirect
940. #388C2×D13semidirect
948. #387C2×D13semidirect
970. #386C2×D13semidirect
971. #386C2×D13semidirect
972. #386C2×D13semidirect
980. #381C2×D13semidirect
988. #380C2×D13semidirect
996. C4×C22⋊C4C2×D13semidirect
1311. D13#2457direct (N × H)
1545. C22⋊C4D4×D13semidirect
1554. C13C2×#2457semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
C2×C4×D4×D132
#131187502
#131187492
#131187482
#131187472
#131187462
#131187452
#131187442
#131187432
#131187422
#131187412
#131187402
#131187392
#131187382
#131187372
#131187362
D13×#4002
D13×#3962
D13×#3942
D13×#3922
D13×#3882
D13×#3872
D13×#3862
D13×#3812
D13×#3802
C4×C22⋊C4×D132
C13×#24572
C2×#245713