Finite Group Databasebeta

← D13×#2438 #16031557

Subgroups — D13×#2438 #16031557

Order 3328.

3006 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×C22⋊Q8C211yesmaximal, characteristic
2C2×D13×#117C211yesmaximal, characteristic
3#13118519C211yesmaximal, characteristic, complemented
4#13118518C211yesmaximal, characteristic, complemented
5#13118517C211yesmaximal, characteristic, complemented
6#13118516C211yesmaximal, characteristic, complemented
7#13118515C211yesmaximal, characteristic, complemented
8#13118514C211yesmaximal, characteristic, complemented
9#13118513C211yesmaximal, characteristic, complemented
10#13118512C211yesmaximal, characteristic, complemented
11#13118511C211yesmaximal, characteristic, complemented
12#13118510C211yesmaximal, characteristic, complemented
13#13118509C211yesmaximal, characteristic, complemented
14#13118508C211yesmaximal, characteristic, complemented
15#13118507C211yesmaximal, characteristic, complemented
16#13118506C211yesmaximal, characteristic, complemented
17#13118505C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#398C211yesmaximal, characteristic, complemented
21D13×#395C211yesmaximal, characteristic, complemented
22D13×#391C211yesmaximal, characteristic, complemented
23D13×#389C211yesmaximal, characteristic, complemented
24D13×#387C211yesmaximal, characteristic, complemented
25D13×#387C211yesmaximal, characteristic, complemented
26D13×#385C211yesmaximal, characteristic
27D13×#385C211yesmaximal, characteristic
28D13×#381C211yesmaximal, characteristic
29D13×#380C211yesmaximal, characteristic
30C2×D13×#95C211yesmaximal, characteristic
31C13×#2438C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C2×C13×C22⋊Q8C2211yescharacteristic
37C2×C13×#117C2211yescharacteristic
38C2×#88200C2211yescharacteristic
39C2×#88180C2211yescharacteristic
40C2×#88178C2211yescharacteristic
41D13×C22⋊Q8—28no—
42D13×#117—28no—
43C2×#88151C2211yescharacteristic
44C2×#88150C2211yescharacteristic
45C2×#88150C2211yescharacteristic
46C2×#88146C2211yescharacteristic
47C2×#88146C2211yescharacteristic
48C2×C4⋊C4×D13C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×C4⋊C4×D13C2211yescharacteristic
57C2×C4⋊C4×D13C2211yescharacteristic
58C2×C4⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×#88132C2211yescharacteristic
64C2×#88132C2211yescharacteristic
65C2×#88131C2211yescharacteristic
66C2×#88131C2211yescharacteristic
67C2×#88126C2211yescharacteristic
68C2×#88126C2211yescharacteristic
69C2×C42×D13C2211yescharacteristic
70C2×C42×D13C2211yescharacteristic
71C13×#400C2211yescharacteristic, complemented
72C13×#398C2211yescharacteristic, complemented
73C13×#398C2211yescharacteristic, complemented
74C13×#395C2211yescharacteristic, complemented
75C13×#391C2211yescharacteristic, complemented
76C13×#389C2211yescharacteristic, complemented
77C13×#387C2211yescharacteristic, complemented
78C13×#387C2211yescharacteristic, complemented
79C13×#385C2211yescharacteristic
80C13×#385C2211yescharacteristic
81C13×#381C2211yescharacteristic
82C13×#380C2211yescharacteristic
83C2×C13×#95C2211yescharacteristic
84#11718891C2211yescharacteristic, complemented
85#11718890C2211yescharacteristic, complemented
86#11718873C2211yescharacteristic
87#11718872C2211yescharacteristic
88#11718871C2211yescharacteristic
89#11718871C2211yescharacteristic
90C2×#88071C2211yescharacteristic
91C2×#88071C2211yescharacteristic
92C2×#88071C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic
99#11718647C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718645C2211yescharacteristic, complemented
102#11718645C2211yescharacteristic, complemented
103#11718645C2211yescharacteristic, complemented
104#11718645C2211yescharacteristic, complemented
105#11718644C2211yescharacteristic, complemented
106#11718644C2211yescharacteristic, complemented
107#11718643C2211yescharacteristic, complemented
108#11718642C2211yescharacteristic, complemented
109#11718642C2211yescharacteristic, complemented
110#11718641C2211yescharacteristic, complemented
111#11718641C2211yescharacteristic, complemented
112#11718640C2211yescharacteristic, complemented
113#11718640C2211yescharacteristic, complemented
114#11718640C2211yescharacteristic, complemented
115#11718639C2211yescharacteristic, complemented
116#11718639C2211yescharacteristic, complemented
117#11718635C2211yescharacteristic, complemented
118#11718634C2211yescharacteristic, complemented
119#11718633C2211yescharacteristic, complemented
120#11718633C2211yescharacteristic, complemented
121#11718611C2211yescharacteristic
122#11718611C2211yescharacteristic
123#11718607C2211yescharacteristic
124#11718607C2211yescharacteristic
125#11718604C2211yescharacteristic
126#11718604C2211yescharacteristic
127#11718603C2211yescharacteristic
128#11718603C2211yescharacteristic
129#11718594C2211yescharacteristic, complemented
130#11718594C2211yescharacteristic, complemented
131#11718590C2211yescharacteristic, complemented
132#11718589C2211yescharacteristic, complemented
133#11718329C2211yescharacteristic
134#11718329C2211yescharacteristic
135#11718329C2211yescharacteristic
136#11718329C2211yescharacteristic
137#11718328C2211yescharacteristic
138#11718328C2211yescharacteristic
139#11718325C2211yescharacteristic
140#11718325C2211yescharacteristic
141#11718325C2211yescharacteristic
142#11718325C2211yescharacteristic
143D13×#95C2211yescharacteristic
144D13×#95C2211yescharacteristic
145D13×#95C2211yescharacteristic
146D13×#95C2211yescharacteristic
147D13×#95C2211yescharacteristic
148D13×#95C2211yescharacteristic
149D13×#95C2211yescharacteristic
150D13×#95C2211yescharacteristic
151D13×#95C2211yescharacteristic
152D13×#95C2211yescharacteristic
153D13×#95C2211yescharacteristic
154D13×#95C2211yescharacteristic
155D13×#95C2211yescharacteristic
156D13×#95C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161#11718322C2211yescharacteristic, complemented
162#11718322C2211yescharacteristic, complemented
163#11718321C2211yescharacteristic, complemented
164#11718321C2211yescharacteristic, complemented
165#11718320C2211yescharacteristic, complemented
166#11718319C2211yescharacteristic, complemented
167#11718319C2211yescharacteristic, complemented
168#11718318C2211yescharacteristic, complemented
169#11718318C2211yescharacteristic, complemented
170#11718318C2211yescharacteristic, complemented
171#11718318C2211yescharacteristic, complemented
172#11718317C2211yescharacteristic, complemented
173#11718317C2211yescharacteristic, complemented
174#11718317C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C2×Q8×D13—24no—
198C2×Q8×D13—24no—
199C2×Q8×D13—42no—
200C22×C4×D13—24no—
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13—24no—
204C22×C4×D13—24no—
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
208C22×C4×D13Q818yescomplemented
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×Dic26C2311yescharacteristic
230C22×Dic26C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×C22⋊Q8—24no—
233C13×#117—24no—
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255#88200—24no—
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264#88180—24no—
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269C2×C4⋊Dic13C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276#88178—24no—
277C2×#6101C2311yescharacteristic
278C2×#6101C2311yescharacteristic
279C2×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305#88151—24no—
306#88150—24no—
307#88150—24no—
308#88146—24no—
309#88146—24no—
310C4⋊C4×D13—24no—
311C4⋊C4×D13—24no—
312C4⋊C4×D13—24no—
313C4⋊C4×D13—24no—
314C4⋊C4×D13—24no—
315C4⋊C4×D13—24no—
316C4⋊C4×D13—24no—
317C4⋊C4×D13—24no—
318C4⋊C4×D13—42no—
319C4⋊C4×D13—42no—
320C4⋊C4×D13—42no—
321C22⋊C4×D13—24no—
322C22⋊C4×D13—24no—
323C22⋊C4×D13—24no—
324C22⋊C4×D13D418yes—
325#88132—24no—
326#88132—24no—
327#88131—24no—
328#88131—24no—
329#88126—24no—
330#88126—24no—
331C42×D13—24no—
332C42×D13—24no—
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
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
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
389C2×#2438—131nomaximal, Sylow
390C24×C13C2411yescharacteristic
391C23×D13—22no—
392C23×D13—22no—
393C23×D13—22no—
394C23×D13—22no—
395C23×D13C2×D414yes—
396C23×D13C2×Q814yes—
397C23×D13#4114yes—
398C23×D13C2411yescharacteristic
399C23×D13C2411yescharacteristic
400C2×Q8×C13—22no—
401C2×Q8×C13—22no—
402C2×Q8×C13—41no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13C2×Q814yescomplemented
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13C2×Q814yescomplemented
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449Q8×D13—416no—
450C2×C4×D13—232no—
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—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—416no—
500C2×C4×D13—416no—
501C2×C4×D13—41no—
502C2×C4×D13—41no—
503C2×C4×D13—41no—
504C2×C4×D13—41no—
505C2×C4×D13C2×D414yes—
506C2×C4×D13C2×D414yes—
507C2×C4×D13C2×Q814yes—
508C2×C4×D13C2×Q814yes—
509C2×C4×D13C2×Q814yescomplemented
510C2×C4×D13C2×Q814yescomplemented
511C2×C4×D13#4114yes—
512C2×C4×D13#4114yes—
513C2×Dic26—22no—
514C2×Dic26—22no—
515C2×Dic26—22no—
516C2×Dic26—22no—
517C2×Dic26—22no—
518C2×Dic26—22no—
519C2×Dic26—41no—
520C2×Dic26—41no—
521C2×Dic26—41no—
522C13×C4⋊C4—22no—
523C13×C4⋊C4—22no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—22no—
530C13×C4⋊C4—41no—
531C13×C4⋊C4—41no—
532C13×C4⋊C4—41no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4C2×D414yes—
537C42×C13—22no—
538C42×C13—22no—
539C22⋊Dic13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13C2×D414yes—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—22no—
547#6103—22no—
548#6103—22no—
549#6103C2×D414yes—
550#6103C2×D414yes—
551C4⋊Dic13—22no—
552C4⋊Dic13—22no—
553C4⋊Dic13—22no—
554C4⋊Dic13—22no—
555C4⋊Dic13—22no—
556C4⋊Dic13—22no—
557C4⋊Dic13—22no—
558C4⋊Dic13—22no—
559C4⋊Dic13—41no—
560C4⋊Dic13—41no—
561C4⋊Dic13—41no—
562#6101—22no—
563#6101—22no—
564#6101—22no—
565#6101—22no—
566#6101—22no—
567#6101—22no—
568#6101—22no—
569#6101—22no—
570#6101—22no—
571#6101—22no—
572#6101—22no—
573#6101—22no—
574#6101—22no—
575#6101—22no—
576#6101—22no—
577#6101—22no—
578#6101—41no—
579#6101—41no—
580#6101—41no—
581#6101—41no—
582#6101—41no—
583#6101—41no—
584C4×Dic13—22no—
585C4×Dic13—22no—
586C4×Dic13—22no—
587C4×Dic13—22no—
588C4×Dic13—22no—
589C4×Dic13—22no—
590C22×C22⋊Q8—131no—
591C22×#117—131no—
592#2438—131no—
593#2438—131no—
594#2438—131no—
595#2438—131no—
596#2438—131no—
597#2438—131no—
598#2438—131no—
599#2438—131no—
600#2438—131no—
601#2438—131no—
602#2438—131no—
603#2438—131no—
604#2438—131no—
605#2438—131no—
606#2438—131no—
607#2438D1311yescharacteristic, direct product factor
608C2×#400—131no—
609C2×#398—131no—
610C2×#398—131no—
611C2×#395—131no—
612C2×#391—131no—
613C2×#389—131no—
614C2×#387—131no—
615C2×#387—131no—
616C2×#385—131no—
617C2×#385—131no—
618C2×#381—131no—
619C2×#380—131no—
620C22×#95—131no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13C22×D412yes—
626C23×C13C22×Q812yes—
627C23×C13C2×#4112yes—
628C23×C13C2511yescharacteristic
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—28no—
634C22×D13—28no—
635C22×D13—28no—
636C22×D13—28no—
637C22×D13—28no—
638C22×D13—28no—
639C22×D13C22⋊Q8116yes—
640C22×D13C22×D412yes—
641C22×D13C22×D412yes—
642C22×D13C22×Q812yes—
643C22×D13C22×Q812yes—
644C22×D13C2×#4112yes—
645C22×D13C2×#4112yes—
646C22×D13C2×#4112yes—
647C22×D13C2×#4112yes—
648C22×D13H(5,𝔽2)12yes—
649C22×D132−1+412yes—
650Q8×C13—44no—
651C2×C4×C13—28no—
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×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—44no—
689C2×C4×C13—44no—
690C2×C4×C13C22×D412yes—
691C2×C4×C13C22×D412yes—
692C2×C4×C13C22×Q812yes—
693C2×C4×C13C22×Q812yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×Dic13—28no—
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×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—44no—
734C2×Dic13—44no—
735C2×Dic13C22×D412yes—
736C2×Dic13C22×D412yes—
737C2×Dic13C22×Q812yes—
738C2×Dic13C22×Q812yes—
739C2×Dic13C2×#4112yes—
740C2×Dic13C2×#4112yes—
741C4×D13—28no—
742C4×D13—28no—
743C4×D13—28no—
744C4×D13—28no—
745C4×D13—28no—
746C4×D13—28no—
747C4×D13—28no—
748C4×D13—28no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—44no—
759C4×D13—44no—
760C4×D13—44no—
761Dic26—44no—
762Dic26—44no—
763Dic26—44no—
764C23×Q8—131no—
765C24×C4—131no—
766C24×C4—131no—
767C24×C4—131no—
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×C22⋊Q8—131no—
771C2×C22⋊Q8—131no—
772C2×C22⋊Q8—131no—
773C2×C22⋊Q8—131no—
774C2×C22⋊Q8—131no—
775C2×C22⋊Q8—268no—
776C2×C22⋊Q8C2×D1311yescharacteristic
777C2×#117—131no—
778C2×#117—131no—
779C2×#117—131no—
780C2×#117—131no—
781C2×#117—131no—
782C2×#117—131no—
783C2×#117—131no—
784C2×#117—268no—
785C2×#117C2×D1311yescharacteristic
786C22×C4⋊C4—131no—
787C22×C4⋊C4—131no—
788C22×C4⋊C4—131no—
789C22×C4⋊C4—131no—
790C22×C4⋊C4—131no—
791C22×C4⋊C4—131no—
792C22×C4⋊C4—131no—
793C22×C4⋊C4—131no—
794C22×C4⋊C4—131no—
795C22×C4⋊C4—131no—
796C22×C4⋊C4—131no—
797C22×C22⋊C4—131no—
798C22×C22⋊C4—131no—
799C22×C22⋊C4—131no—
800C22×C22⋊C4—131no—
801C22×C42—131no—
802C22×C42—131no—
803#400—131no—
804#400—131no—
805#400—131no—
806#400—131no—
807#400—131no—
808#400—131no—
809#400—131no—
810#400C2×D1311yescharacteristic, complemented
811#398—131no—
812#398—131no—
813#398—131no—
814#398—131no—
815#398—131no—
816#398—131no—
817#398—131no—
818#398—131no—
819#398—131no—
820#398—131no—
821#398—131no—
822#398—131no—
823#398—131no—
824#398—131no—
825#398C2×D1311yescharacteristic, complemented
826#398C2×D1311yescharacteristic, complemented
827#395—131no—
828#395—131no—
829#395—131no—
830#395—131no—
831#395—131no—
832#395—131no—
833#395—131no—
834#395C2×D1311yescharacteristic, complemented
835#391—131no—
836#391—131no—
837#391—131no—
838#391—131no—
839#391—131no—
840#391—131no—
841#391—131no—
842#391C2×D1311yescharacteristic, complemented
843#389—131no—
844#389—131no—
845#389—131no—
846#389—131no—
847#389—131no—
848#389—131no—
849#389—131no—
850#389C2×D1311yescharacteristic, complemented
851#387—131no—
852#387—131no—
853#387—131no—
854#387—131no—
855#387—131no—
856#387—131no—
857#387—131no—
858#387—131no—
859#387—131no—
860#387—131no—
861#387—131no—
862#387—131no—
863#387—131no—
864#387—131no—
865#387C2×D1311yescharacteristic, complemented
866#387C2×D1311yescharacteristic, complemented
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385C2×D1311yescharacteristic
882#385C2×D1311yescharacteristic
883#381—131no—
884#381—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381—131no—
889#381—131no—
890#381C2×D1311yescharacteristic
891#380—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380—131no—
897#380—131no—
898#380C2×D1311yescharacteristic
899C2×#95—131no—
900C2×#95—131no—
901C2×#95—131no—
902C2×#95—131no—
903C2×#95—131no—
904C2×#95—131no—
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95—131no—
909C2×#95—131no—
910C2×#95—131no—
911C2×#95—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C2×#95—131no—
917C2×#95—131no—
918C2×#95—131no—
919C2×#95—131no—
920C2×#95C2×D1311yescharacteristic
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—22no—
927C22×C13C2×C22⋊Q814yes—
928C22×C13C23×D411yescharacteristic
929C22×C13C23×Q811yescharacteristic
930C22×C13C22×#4111yescharacteristic
931C22×C13C22×#4111yescharacteristic
932C22×C13C22×#4111yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×2−1+411yescharacteristic
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—232no—
942C2×D13C2×C22⋊Q814yes—
943C2×D13C2×C22⋊Q814yes—
944C2×D13#53314yes—
945C2×D13#54414yes—
946C2×D13#54614yes—
947C2×D13#54714yes—
948C2×D13#55114yes—
949C2×D13#55214yes—
950C4×C13—22no—
951C4×C13—22no—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964Dic13—22no—
965Dic13—22no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—41no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978C25—131no—
979C22×Q8—131no—
980C22×Q8—131no—
981C22×Q8—131no—
982C22×Q8—264no—
983C22×Q8—264no—
984C22×Q8—522no—
985C22×Q8C22×D1311yescharacteristic
986C23×C4—131no—
987C23×C4—138no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—264no—
1011C23×C4—264no—
1012C23×C4—264no—
1013C23×C4—264no—
1014C23×C4—264no—
1015C23×C4—264no—
1016C23×C4—522no—
1017C23×C4—522no—
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021C22⋊Q8—24no—
1022C22⋊Q8—264no—
1023C22⋊Q8—264no—
1024C22⋊Q8—264no—
1025C22⋊Q8—264no—
1026C22⋊Q8—264no—
1027C22⋊Q8—264no—
1028C22⋊Q8—264no—
1029#117—24no—
1030#117—264no—
1031#117—264no—
1032#117—264no—
1033#117—264no—
1034#117—264no—
1035#117—264no—
1036#117—264no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—264no—
1071C2×C4⋊C4—264no—
1072C2×C4⋊C4—264no—
1073C2×C4⋊C4—264no—
1074C2×C4⋊C4—264no—
1075C2×C4⋊C4—264no—
1076C2×C4⋊C4—264no—
1077C2×C4⋊C4—264no—
1078C2×C4⋊C4—522no—
1079C2×C4⋊C4—522no—
1080C2×C4⋊C4—522no—
1081C2×C4⋊C4C22×D1311yescharacteristic
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C4⋊C4C22×D1311yescharacteristic
1087C2×C4⋊C4C22×D1311yescharacteristic
1088C2×C4⋊C4C22×D1311yescharacteristic
1089C2×C4⋊C4C22×D1311yescharacteristic
1090C2×C4⋊C4C22×D1311yescharacteristic
1091C2×C4⋊C4C22×D1311yescharacteristic
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—138no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—264no—
1106C2×C22⋊C4—264no—
1107C2×C22⋊C4—264no—
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—264no—
1119C2×C42—264no—
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
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#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174#95C22×D1311yescharacteristic
1175#95C22×D1311yescharacteristic
1176#95C22×D1311yescharacteristic
1177#95C22×D1311yescharacteristic
1178C2×C13—24no—
1179C2×C13C22×C22⋊Q811yescharacteristic
1180C2×C13C2×#53311yescharacteristic
1181C2×C13C2×#54411yescharacteristic
1182C2×C13C2×#54611yescharacteristic
1183C2×C13C2×#54711yescharacteristic
1184C2×C13C2×#55111yescharacteristic
1185C2×C13C2×#55211yescharacteristic
1186D13—24no—
1187D13#243818yesdirect product factor
1188C24—131no—
1189C24—134no—
1190C24—134no—
1191C24—134no—
1192C24—131no—
1193C24—262no—
1194C24—262no—
1195C24—262no—
1196C24—262no—
1197C24C23×D1311yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—41no—
1201C2×Q8—262no—
1202C2×Q8—262no—
1203C2×Q8—262no—
1204C2×Q8—262no—
1205C2×Q8—262no—
1206C2×Q8—262no—
1207C2×Q8—521no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×Q8—5216no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—134no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—134no—
1227C22×C4—134no—
1228C22×C4—134no—
1229C22×C4—134no—
1230C22×C4—134no—
1231C22×C4—134no—
1232C22×C4—134no—
1233C22×C4—134no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—2632no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—262no—
1285C22×C4—262no—
1286C22×C4—262no—
1287C22×C4—262no—
1288C22×C4—262no—
1289C22×C4—262no—
1290C22×C4—262no—
1291C22×C4—262no—
1292C22×C4—262no—
1293C22×C4—262no—
1294C22×C4—262no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—521no—
1298C22×C4—521no—
1299C22×C4—521no—
1300C22×C4—521no—
1301C22×C4—5216no—
1302C22×C4—5216no—
1303C22×C4—521no—
1304C22×C4—521no—
1305C22×C4Q8×D1314yescomplemented
1306C22×C4C23×D1311yescharacteristic
1307C22×C4C23×D1311yescharacteristic
1308C22×C4C23×D1311yescharacteristic
1309C22×C4C23×D1311yescharacteristic
1310C22×C4C23×D1311yescharacteristic
1311C22×C4C23×D1311yescharacteristic
1312C22×C4C23×D1311yescharacteristic
1313C22×C4C23×D1311yescharacteristic
1314C22×C4C23×D1311yescharacteristic
1315C22×C4C23×D1311yescharacteristic
1316C22×C4C23×D1311yescharacteristic
1317C22×C4C23×D1311yescharacteristic
1318C22×C4C23×D1311yescharacteristic
1319C22×C4C23×D1311yescharacteristic
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—262no—
1332C4⋊C4—262no—
1333C4⋊C4—262no—
1334C4⋊C4—262no—
1335C4⋊C4—262no—
1336C4⋊C4—262no—
1337C4⋊C4—262no—
1338C4⋊C4—262no—
1339C4⋊C4—262no—
1340C4⋊C4—262no—
1341C4⋊C4—262no—
1342C4⋊C4—262no—
1343C4⋊C4—262no—
1344C4⋊C4—262no—
1345C4⋊C4—262no—
1346C4⋊C4—262no—
1347C4⋊C4—262no—
1348C4⋊C4—262no—
1349C4⋊C4—262no—
1350C4⋊C4—262no—
1351C4⋊C4—262no—
1352C4⋊C4—262no—
1353C4⋊C4—262no—
1354C4⋊C4—262no—
1355C4⋊C4—521no—
1356C4⋊C4—521no—
1357C4⋊C4—521no—
1358C4⋊C4—521no—
1359C4⋊C4—521no—
1360C4⋊C4—521no—
1361C4⋊C4—521no—
1362C4⋊C4—521no—
1363C4⋊C4—521no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—134no—
1368C22⋊C4—134no—
1369C22⋊C4—134no—
1370C22⋊C4—262no—
1371C22⋊C4—262no—
1372C22⋊C4—262no—
1373C22⋊C4—262no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—262no—
1377C22⋊C4—262no—
1378C22⋊C4—262no—
1379C22⋊C4D4×D1314yes—
1380C42—22no—
1381C42—22no—
1382C42—262no—
1383C42—262no—
1384C42—262no—
1385C42—262no—
1386C42—262no—
1387C42—262no—
1388C13C2×#243811yescharacteristic, complemented, Sylow
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—132no—
1394C23—132no—
1395C23—132no—
1396C23—132no—
1397C23—132no—
1398C23—132no—
1399C23—132no—
1400C23—1316no—
1401C23—132no—
1402C23—132no—
1403C23—132no—
1404C23—268no—
1405C23—268no—
1406C23—268no—
1407C23—268no—
1408C23—268no—
1409C23—268no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23C2×D4×D1312yes—
1415C23C2×Q8×D1312yes—
1416C23#41×D1312yes—
1417C23C24×D1311yescharacteristic
1418Q8—44no—
1419Q8—524no—
1420Q8—524no—
1421Q8—524no—
1422C2×C4—28no—
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—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—132no—
1462C2×C4—132no—
1463C2×C4—132no—
1464C2×C4—132no—
1465C2×C4—132no—
1466C2×C4—132no—
1467C2×C4—268no—
1468C2×C4—268no—
1469C2×C4—268no—
1470C2×C4—268no—
1471C2×C4—268no—
1472C2×C4—268no—
1473C2×C4—268no—
1474C2×C4—268no—
1475C2×C4—268no—
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—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4—524no—
1515C2×C4—524no—
1516C2×C4—524no—
1517C2×C4—524no—
1518C2×C4—524no—
1519C2×C4—524no—
1520C2×C4—524no—
1521C2×C4—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4C2×D4×D1312yes—
1527C2×C4C2×D4×D1312yes—
1528C2×C4C2×Q8×D1312yes—
1529C2×C4C2×Q8×D1312yes—
1530C2×C4#41×D1312yes—
1531C2×C4#41×D1312yes—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—134no—
1539C22—134no—
1540C22—134no—
1541C22—134no—
1542C22—134no—
1543C22—134no—
1544C22—134no—
1545C22—134no—
1546C22—2632no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22D13×C22⋊Q814yes—
1554C22C22×D4×D1311yescharacteristic
1555C22C22×Q8×D1311yescharacteristic
1556C22C2×#41×D1311yescharacteristic
1557C22C2×#41×D1311yescharacteristic
1558C22C2×#41×D1311yescharacteristic
1559C22D13×H(5,𝔽2)11yescharacteristic
1560C22D13×2−1+411yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—262no—
1576C4—262no—
1577C4—262no—
1578C4—262no—
1579C4—262no—
1580C4—262no—
1581C4—521no—
1582C4—521no—
1583C4—521no—
1584C4—521no—
1585C4—521no—
1586C4—521no—
1587C4—521no—
1588C4—521no—
1589C2—24no—
1590C2—138no—
1591C2—264no—
1592C2C2×D13×C22⋊Q811yescharacteristic
1593C2D13×#53311yescharacteristic
1594C2D13×#54411yescharacteristic
1595C2D13×#54611yescharacteristic
1596C2D13×#54711yescharacteristic
1597C2D13×#55111yescharacteristic
1598C2D13×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2438C2
prime radicalC24×D13C23
hypercenter#2438D13
hypocenterC13C2×#2438
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
3. #13118519C2semidirect
4. #13118518C2semidirect
5. #13118517C2semidirect
6. #13118516C2semidirect
7. #13118515C2semidirect
8. #13118514C2semidirect
9. #13118513C2semidirect
10. #13118512C2semidirect
11. #13118511C2semidirect
12. #13118510C2semidirect
13. #13118509C2semidirect
14. #13118508C2semidirect
15. #13118507C2semidirect
16. #13118506C2semidirect
17. #13118505C2semidirect
18. D13×#400C2semidirect
19. D13×#398C2semidirect
20. D13×#398C2semidirect
21. D13×#395C2semidirect
22. D13×#391C2semidirect
23. D13×#389C2semidirect
24. D13×#387C2semidirect
25. D13×#387C2semidirect
31. C13×#2438C2semidirect
71. C13×#400C22semidirect
72. C13×#398C22semidirect
73. C13×#398C22semidirect
74. C13×#395C22semidirect
75. C13×#391C22semidirect
76. C13×#389C22semidirect
77. C13×#387C22semidirect
78. C13×#387C22semidirect
84. #11718891C22semidirect
85. #11718890C22semidirect
99. #11718647C22semidirect
100. #11718646C22semidirect
101. #11718645C22semidirect
102. #11718645C22semidirect
103. #11718645C22semidirect
104. #11718645C22semidirect
105. #11718644C22semidirect
106. #11718644C22semidirect
107. #11718643C22semidirect
108. #11718642C22semidirect
109. #11718642C22semidirect
110. #11718641C22semidirect
111. #11718641C22semidirect
112. #11718640C22semidirect
113. #11718640C22semidirect
114. #11718640C22semidirect
115. #11718639C22semidirect
116. #11718639C22semidirect
117. #11718635C22semidirect
118. #11718634C22semidirect
119. #11718633C22semidirect
120. #11718633C22semidirect
129. #11718594C22semidirect
130. #11718594C22semidirect
131. #11718590C22semidirect
132. #11718589C22semidirect
161. #11718322C22semidirect
162. #11718322C22semidirect
163. #11718321C22semidirect
164. #11718321C22semidirect
165. #11718320C22semidirect
166. #11718319C22semidirect
167. #11718319C22semidirect
168. #11718318C22semidirect
169. #11718318C22semidirect
170. #11718318C22semidirect
171. #11718318C22semidirect
172. #11718317C22semidirect
173. #11718317C22semidirect
174. #11718317C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718315C22semidirect
178. #11718315C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
208. C22×C4×D13Q8semidirect
411. C22×C4×C13C2×Q8semidirect
434. C22×Dic13C2×Q8semidirect
509. C2×C4×D13C2×Q8semidirect
510. C2×C4×D13C2×Q8semidirect
607. #2438D13direct (N × H)
810. #400C2×D13semidirect
825. #398C2×D13semidirect
826. #398C2×D13semidirect
834. #395C2×D13semidirect
842. #391C2×D13semidirect
850. #389C2×D13semidirect
865. #387C2×D13semidirect
866. #387C2×D13semidirect
1187. D13#2438direct (N × H)
1305. C22×C4Q8×D13semidirect
1388. C13C2×#2438semidirect

Maximal subgroups

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

subgroupindex
C2×D13×C22⋊Q82
C2×D13×#1172
#131185192
#131185182
#131185172
#131185162
#131185152
#131185142
#131185132
#131185122
#131185112
#131185102
#131185092
#131185082
#131185072
#131185062
#131185052
D13×#4002
D13×#3982
D13×#3952
D13×#3912
D13×#3892
D13×#3872
D13×#3852
D13×#3812
D13×#3802
C2×D13×#952
C13×#24382
C2×#243813