Finite Group Databasebeta

← D13×#2450 #16030665

Subgroups — D13×#2450 #16030665

Order 3328.

3374 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic
3#13118667C211yesmaximal, characteristic, complemented
4#13118666C211yesmaximal, characteristic, complemented
5#13118665C211yesmaximal, characteristic, complemented
6#13118664C211yesmaximal, characteristic, complemented
7#13118663C211yesmaximal, characteristic, complemented
8#13118662C211yesmaximal, characteristic, complemented
9#13118661C211yesmaximal, characteristic, complemented
10#13118660C211yesmaximal, characteristic, complemented
11#13118659C211yesmaximal, characteristic, complemented
12#13118658C211yesmaximal, characteristic, complemented
13#13118657C211yesmaximal, characteristic, complemented
14#13118656C211yesmaximal, characteristic, complemented
15#13118655C211yesmaximal, characteristic, complemented
16#13118654C211yesmaximal, characteristic, complemented
17#13118653C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#396C211yesmaximal, characteristic, complemented
21D13×#393C211yesmaximal, characteristic, complemented
22D13×#391C211yesmaximal, characteristic, complemented
23D13×#387C211yesmaximal, characteristic, complemented
24D13×#386C211yesmaximal, characteristic
25D13×#386C211yesmaximal, characteristic
26D13×#385C211yesmaximal, characteristic, complemented
27D13×#385C211yesmaximal, characteristic, complemented
28D13×#385C211yesmaximal, characteristic, complemented
29D13×#380C211yesmaximal, characteristic, complemented
30C2×D13×#95C211yesmaximal, characteristic, complemented
31C13×#2450C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C23×C4×D13C2211yescharacteristic
38C2×C13×C22⋊Q8C2211yescharacteristic, complemented
39C2×C4×D4×C13C2211yescharacteristic
40C2×#88200C2211yescharacteristic, complemented
41C2×D4×Dic13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×#88178C2211yescharacteristic, complemented
45D13×C22⋊Q8—28no—
46C4×D4×D13—28no—
47C2×#88151C2211yescharacteristic, complemented
48C2×#88150C2211yescharacteristic, complemented
49C2×#88150C2211yescharacteristic, complemented
50C2×#88147C2211yescharacteristic
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×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
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×#88132C2211yescharacteristic, complemented
70C2×#88132C2211yescharacteristic, complemented
71C2×C4×D52C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic
73C13×#400C2211yescharacteristic, complemented
74C13×#398C2211yescharacteristic, complemented
75C13×#396C2211yescharacteristic, complemented
76C13×#393C2211yescharacteristic, complemented
77C13×#391C2211yescharacteristic, complemented
78C13×#387C2211yescharacteristic, complemented
79C13×#386C2211yescharacteristic
80C13×#386C2211yescharacteristic
81C13×#385C2211yescharacteristic, complemented
82C13×#385C2211yescharacteristic, complemented
83C13×#385C2211yescharacteristic, complemented
84C13×#380C2211yescharacteristic, complemented
85C2×C13×#95C2211yescharacteristic, complemented
86#11718892C2211yescharacteristic, complemented
87#11718891C2211yescharacteristic, complemented
88#11718881C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718874C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718873C2211yescharacteristic, complemented
93#11718871C2211yescharacteristic, complemented
94#11718871C2211yescharacteristic, complemented
95#11718871C2211yescharacteristic, complemented
96C2×#88071C2211yescharacteristic, complemented
97C2×#88071C2211yescharacteristic, complemented
98C2×#88071C2211yescharacteristic, complemented
99#11718655C2211yescharacteristic, complemented
100#11718655C2211yescharacteristic, complemented
101#11718655C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic, complemented
105#11718650C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic, complemented
107#11718650C2211yescharacteristic, complemented
108#11718648C2211yescharacteristic, complemented
109#11718648C2211yescharacteristic, complemented
110#11718647C2211yescharacteristic, complemented
111#11718645C2211yescharacteristic, complemented
112#11718645C2211yescharacteristic, complemented
113#11718644C2211yescharacteristic, complemented
114#11718643C2211yescharacteristic, complemented
115#11718642C2211yescharacteristic, complemented
116#11718641C2211yescharacteristic, complemented
117#11718639C2211yescharacteristic, complemented
118#11718635C2211yescharacteristic, complemented
119#11718619C2211yescharacteristic
120#11718619C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718611C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic, complemented
127#11718611C2211yescharacteristic, complemented
128#11718609C2211yescharacteristic, complemented
129#11718609C2211yescharacteristic, complemented
130#11718609C2211yescharacteristic, complemented
131#11718608C2211yescharacteristic, complemented
132#11718608C2211yescharacteristic, complemented
133#11718608C2211yescharacteristic, complemented
134#11718607C2211yescharacteristic, complemented
135#11718607C2211yescharacteristic, complemented
136#11718607C2211yescharacteristic, complemented
137#11718603C2211yescharacteristic, complemented
138#11718603C2211yescharacteristic, complemented
139#11718594C2211yescharacteristic, complemented
140#11718590C2211yescharacteristic, complemented
141#11718337C2211yescharacteristic, complemented
142#11718334C2211yescharacteristic, complemented
143#11718334C2211yescharacteristic, complemented
144#11718334C2211yescharacteristic, complemented
145#11718329C2211yescharacteristic, complemented
146#11718329C2211yescharacteristic, complemented
147#11718329C2211yescharacteristic, complemented
148#11718329C2211yescharacteristic, complemented
149#11718329C2211yescharacteristic, complemented
150#11718329C2211yescharacteristic, complemented
151#11718328C2211yescharacteristic, complemented
152#11718328C2211yescharacteristic, complemented
153#11718326C2211yescharacteristic
154#11718326C2211yescharacteristic
155#11718326C2211yescharacteristic
156#11718326C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic, complemented
170D13×#95C2211yescharacteristic, complemented
171D13×#95C2211yescharacteristic, complemented
172D13×#95C2211yescharacteristic, complemented
173#11718322C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718320C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C2×Q8×D13—24no—
204C2×Q8×D13—24no—
205C2×Q8×D13—42no—
206C2×D4×D13—24no—
207C2×D4×D13—24no—
208C2×D4×D13Q818yescomplemented
209C22×D52C2311yescharacteristic
210C22×C4×D13—24no—
211C22×C4×D13—24no—
212C22×C4×D13—24no—
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—24no—
216C22×C4×D13—24no—
217C22×C4×D13—42no—
218C22×C4×D13—42no—
219C22×C4×D13—42no—
220C22×C4×D13—42no—
221C22×C4×D13—42no—
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
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×Dic26C2311yescharacteristic
244C22×Dic26C2311yescharacteristic
245C22×Dic26C2311yescharacteristic
246C13×C22⋊Q8—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×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊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×C42×C13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273#88200—24no—
274D4×Dic13—24no—
275C4×C22⋊D13—24no—
276C4×C22⋊D13—24no—
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301#88178—24no—
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88151—24no—
322#88150—24no—
323#88150—24no—
324#88147—24no—
325C4⋊C4×D13—24no—
326C4⋊C4×D13—24no—
327C4⋊C4×D13—24no—
328C4⋊C4×D13—24no—
329C4⋊C4×D13—24no—
330C4⋊C4×D13—42no—
331C4⋊C4×D13—42no—
332C4⋊C4×D13—42no—
333#88135—24no—
334#88135—24no—
335C22⋊C4×D13—24no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—42no—
340C22⋊C4×D13—42no—
341C22⋊C4×D13—42no—
342C22⋊C4×D13D418yes—
343#88132—24no—
344#88132—24no—
345C4×D52—24no—
346C42×D13—24no—
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
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
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#88071C2311yescharacteristic
392#88071C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395C2×#2450—131nomaximal, Sylow
396C24×C13C2411yescharacteristic
397C24×C13C2411yescharacteristic
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—22no—
408C23×D13C2×D414yes—
409C23×D13C2×Q814yes—
410C23×D13C2×Q814yes—
411C23×D13#4114yes—
412C23×D13C2411yescharacteristic
413C23×D13C2411yescharacteristic
414C23×D13C2411yescharacteristic
415C2×Q8×C13—22no—
416C2×Q8×C13—22no—
417C2×Q8×C13—41no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13C2×Q814yescomplemented
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—22no—
424C22×C4×C13—22no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13C2×Q814yescomplemented
451C2×C22⋊D13C2×Q814yescomplemented
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—41no—
460C22×Dic13—41no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13—41no—
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477Q8×D13—416no—
478D4×D13—232no—
479C2×D52—22no—
480C2×D52—22no—
481C2×D52C2×Q814yescomplemented
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—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
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—416no—
531C2×C4×D13—416no—
532C2×C4×D13—416no—
533C2×C4×D13—41no—
534C2×C4×D13—41no—
535C2×C4×D13—41no—
536C2×C4×D13—41no—
537C2×C4×D13—41no—
538C2×C4×D13—41no—
539C2×C4×D13—41no—
540C2×C4×D13—41no—
541C2×C4×D13—41no—
542C2×C4×D13—41no—
543C2×C4×D13—416no—
544C2×C4×D13C2×D414yes—
545C2×C4×D13C2×D414yes—
546C2×C4×D13C2×Q814yes—
547C2×C4×D13#4114yes—
548C2×C4×D13#4114yes—
549C2×Dic26—22no—
550C2×Dic26—22no—
551C2×Dic26—22no—
552C2×Dic26—22no—
553C2×Dic26—22no—
554C2×Dic26—22no—
555C2×Dic26—41no—
556C2×Dic26—41no—
557C2×Dic26—41no—
558C13×C4⋊C4—22no—
559C13×C4⋊C4—22no—
560C13×C4⋊C4—22no—
561C13×C4⋊C4—22no—
562C13×C4⋊C4—22no—
563C13×C4⋊C4—41no—
564C13×C4⋊C4—41no—
565C13×C4⋊C4—41no—
566C13×C22⋊C4—22no—
567C13×C22⋊C4—22no—
568C13×C22⋊C4—22no—
569C13×C22⋊C4—22no—
570C13×C22⋊C4—41no—
571C13×C22⋊C4—41no—
572C13×C22⋊C4—41no—
573C13×C22⋊C4C2×D414yes—
574C42×C13—22no—
575C22⋊Dic13—22no—
576C22⋊Dic13—22no—
577C22⋊Dic13—22no—
578C22⋊Dic13—22no—
579C22⋊Dic13—41no—
580C22⋊Dic13—41no—
581C22⋊Dic13—41no—
582C22⋊Dic13C2×D414yes—
583#6103—22no—
584#6103—22no—
585#6103—22no—
586#6103—22no—
587#6103—22no—
588#6103—22no—
589#6103—22no—
590#6103—22no—
591#6103—41no—
592#6103—41no—
593#6103—41no—
594#6103—41no—
595#6103—41no—
596#6103—41no—
597#6103C2×D414yes—
598#6103C2×D414yes—
599C4⋊Dic13—22no—
600C4⋊Dic13—22no—
601C4⋊Dic13—22no—
602C4⋊Dic13—22no—
603C4⋊Dic13—22no—
604C4⋊Dic13—41no—
605C4⋊Dic13—41no—
606C4⋊Dic13—41no—
607#6101—22no—
608#6101—22no—
609#6101—22no—
610#6101—22no—
611#6101—22no—
612#6101—22no—
613#6101—22no—
614#6101—22no—
615#6101—22no—
616#6101—22no—
617#6101—41no—
618#6101—41no—
619#6101—41no—
620#6101—41no—
621#6101—41no—
622#6101—41no—
623C4×Dic13—22no—
624C4×Dic13—22no—
625C4×Dic13—22no—
626C22×C22⋊Q8—131no—
627C22×C4×D4—131no—
628#2450—131no—
629#2450—131no—
630#2450—131no—
631#2450—131no—
632#2450—131no—
633#2450—131no—
634#2450—131no—
635#2450—131no—
636#2450—131no—
637#2450—131no—
638#2450—131no—
639#2450—131no—
640#2450—131no—
641#2450—131no—
642#2450—131no—
643#2450D1311yescharacteristic, direct product factor
644C2×#400—131no—
645C2×#398—131no—
646C2×#396—131no—
647C2×#393—131no—
648C2×#391—131no—
649C2×#387—131no—
650C2×#386—131no—
651C2×#386—131no—
652C2×#385—131no—
653C2×#385—131no—
654C2×#385—131no—
655C2×#380—131no—
656C22×#95—131no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13C22×D412yes—
668C23×C13C22×Q812yes—
669C23×C13C22×Q812yes—
670C23×C13C2×#4112yes—
671C23×C13C2511yescharacteristic
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—28no—
677C22×D13—28no—
678C22×D13—28no—
679C22×D13—28no—
680C22×D13—28no—
681C22×D13—28no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—21no—
685C22×D13—21no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—28no—
689C22×D13—28no—
690C22×D13—28no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13C22⋊Q8116yes—
696C22×D13C22×D412yes—
697C22×D13C22×D412yes—
698C22×D13C22×Q812yes—
699C22×D13C22×Q812yes—
700C22×D13C22×Q812yes—
701C22×D13C2×#4112yes—
702C22×D13C2×#4112yes—
703C22×D13C2×#4112yes—
704C22×D13C2×#4112yes—
705C22×D13H(5,𝔽2)12yes—
706C22×D13H(5,𝔽2)12yes—
707Q8×C13—44no—
708D4×C13—28no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—44no—
744C2×C4×C13—44no—
745C2×C4×C13—44no—
746C2×C4×C13—44no—
747C2×C4×C13C22×D412yes—
748C2×C4×C13C22×D412yes—
749C2×C4×C13C22×Q812yes—
750C2×C4×C13C2×#4112yes—
751C2×C4×C13C2×#4112yes—
752C22⋊D13—28no—
753C22⋊D13—28no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—44no—
789C2×Dic13—44no—
790C2×Dic13—44no—
791C2×Dic13—44no—
792C2×Dic13C22×D412yes—
793C2×Dic13C22×D412yes—
794C2×Dic13C22×Q812yes—
795C2×Dic13C2×#4112yes—
796C2×Dic13C2×#4112yes—
797D52—28no—
798C4×D13—28no—
799C4×D13—28no—
800C4×D13—28no—
801C4×D13—28no—
802C4×D13—28no—
803C4×D13—44no—
804C4×D13—44no—
805C4×D13—44no—
806C4×D13—44no—
807C4×D13—44no—
808C4×D13—44no—
809C4×D13—44no—
810C4×D13—44no—
811C4×D13—44no—
812C4×D13—44no—
813C4×D13—44no—
814C4×D13—44no—
815C4×D13—44no—
816C4×D13—44no—
817C4×D13—44no—
818C4×D13—44no—
819Dic26—44no—
820Dic26—44no—
821Dic26—44no—
822C23×Q8—131no—
823C23×D4—131no—
824C24×C4—131no—
825C24×C4—131no—
826C24×C4—131no—
827C24×C4—131no—
828C2×C22⋊Q8—131no—
829C2×C22⋊Q8—131no—
830C2×C22⋊Q8—131no—
831C2×C22⋊Q8—131no—
832C2×C22⋊Q8—131no—
833C2×C22⋊Q8—131no—
834C2×C22⋊Q8—131no—
835C2×C22⋊Q8—268no—
836C2×C22⋊Q8C2×D1311yescharacteristic, complemented
837C2×C4×D4—131no—
838C2×C4×D4—131no—
839C2×C4×D4—131no—
840C2×C4×D4—131no—
841C2×C4×D4—131no—
842C2×C4×D4—131no—
843C2×C4×D4—131no—
844C2×C4×D4—268no—
845C2×C4×D4C2×D1311yescharacteristic
846C22×C4⋊C4—131no—
847C22×C4⋊C4—131no—
848C22×C4⋊C4—131no—
849C22×C4⋊C4—131no—
850C22×C4⋊C4—131no—
851C22×C4⋊C4—131no—
852C22×C4⋊C4—131no—
853C22×C4⋊C4—131no—
854C22×C22⋊C4—131no—
855C22×C22⋊C4—131no—
856C22×C22⋊C4—131no—
857C22×C22⋊C4—131no—
858C22×C22⋊C4—131no—
859C22×C22⋊C4—131no—
860C22×C22⋊C4—131no—
861C22×C22⋊C4—131no—
862C22×C42—131no—
863#400—131no—
864#400—131no—
865#400—131no—
866#400—131no—
867#400—131no—
868#400—131no—
869#400—131no—
870#400C2×D1311yescharacteristic, complemented
871#398—131no—
872#398—131no—
873#398—131no—
874#398—131no—
875#398—131no—
876#398—131no—
877#398—131no—
878#398C2×D1311yescharacteristic, complemented
879#396—131no—
880#396—131no—
881#396—131no—
882#396—131no—
883#396—131no—
884#396—131no—
885#396—131no—
886#396C2×D1311yescharacteristic, complemented
887#393—131no—
888#393—131no—
889#393—131no—
890#393—131no—
891#393—131no—
892#393—131no—
893#393—131no—
894#393C2×D1311yescharacteristic, complemented
895#391—131no—
896#391—131no—
897#391—131no—
898#391—131no—
899#391—131no—
900#391—131no—
901#391—131no—
902#391C2×D1311yescharacteristic, complemented
903#387—131no—
904#387—131no—
905#387—131no—
906#387—131no—
907#387—131no—
908#387—131no—
909#387—131no—
910#387C2×D1311yescharacteristic, complemented
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#386—131no—
917#386—131no—
918#386—131no—
919#386—131no—
920#386—131no—
921#386—131no—
922#386—131no—
923#386—131no—
924#386—131no—
925#386C2×D1311yescharacteristic
926#386C2×D1311yescharacteristic
927#385—131no—
928#385—131no—
929#385—131no—
930#385—131no—
931#385—131no—
932#385—131no—
933#385—131no—
934#385—131no—
935#385—131no—
936#385—131no—
937#385—131no—
938#385—131no—
939#385—131no—
940#385—131no—
941#385—131no—
942#385—131no—
943#385—131no—
944#385—131no—
945#385—131no—
946#385—131no—
947#385—131no—
948#385C2×D1311yescharacteristic, complemented
949#385C2×D1311yescharacteristic, complemented
950#385C2×D1311yescharacteristic, complemented
951#380—131no—
952#380—131no—
953#380—131no—
954#380—131no—
955#380—131no—
956#380—131no—
957#380—131no—
958#380C2×D1311yescharacteristic, complemented
959C2×#95—131no—
960C2×#95—131no—
961C2×#95—131no—
962C2×#95—131no—
963C2×#95—131no—
964C2×#95—131no—
965C2×#95—131no—
966C2×#95—131no—
967C2×#95—131no—
968C2×#95—131no—
969C2×#95—131no—
970C2×#95—131no—
971C2×#95—131no—
972C2×#95—131no—
973C2×#95—131no—
974C2×#95—131no—
975C2×#95—131no—
976C2×#95—131no—
977C2×#95—131no—
978C2×#95C2×D1311yescharacteristic, complemented
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—22no—
983C22×C13—22no—
984C22×C13—22no—
985C22×C13—22no—
986C22×C13—22no—
987C22×C13—22no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13C2×C22⋊Q814yes—
993C22×C13C23×D411yescharacteristic
994C22×C13C23×Q811yescharacteristic
995C22×C13C22×#4111yescharacteristic
996C22×C13C22×#4111yescharacteristic
997C22×C13C22×#4111yescharacteristic
998C22×C13C2×H(5,𝔽2)11yescharacteristic
999C22×C13C2×H(5,𝔽2)11yescharacteristic
1000C2×D13—22no—
1001C2×D13—22no—
1002C2×D13—22no—
1003C2×D13—22no—
1004C2×D13—22no—
1005C2×D13—22no—
1006C2×D13—232no—
1007C2×D13—22no—
1008C2×D13—22no—
1009C2×D13—22no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C2×D13—41no—
1013C2×D13—41no—
1014C2×D13—416no—
1015C2×D13C2×C22⋊Q814yes—
1016C2×D13C2×C22⋊Q814yes—
1017C2×D13#52914yes—
1018C2×D13#53814yes—
1019C2×D13#54614yes—
1020C2×D13#54614yes—
1021C2×D13#55414yes—
1022C2×D13#55414yes—
1023C4×C13—22no—
1024C4×C13—22no—
1025C4×C13—22no—
1026C4×C13—22no—
1027C4×C13—22no—
1028C4×C13—41no—
1029C4×C13—41no—
1030C4×C13—41no—
1031C4×C13—41no—
1032C4×C13—41no—
1033C4×C13—41no—
1034C4×C13—41no—
1035C4×C13—41no—
1036Dic13—22no—
1037Dic13—22no—
1038Dic13—22no—
1039Dic13—22no—
1040Dic13—22no—
1041Dic13—41no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048Dic13—41no—
1049C25—131no—
1050C25—131no—
1051C22×Q8—131no—
1052C22×Q8—131no—
1053C22×Q8—131no—
1054C22×Q8—264no—
1055C22×Q8—264no—
1056C22×Q8—522no—
1057C22×Q8C22×D1311yescharacteristic
1058C22×D4—131no—
1059C22×D4—131no—
1060C22×D4—138no—
1061C22×D4—131no—
1062C22×D4—264no—
1063C22×D4—264no—
1064C22×D4C22×D1311yescharacteristic
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—131no—
1068C23×C4—131no—
1069C23×C4—131no—
1070C23×C4—131no—
1071C23×C4—131no—
1072C23×C4—131no—
1073C23×C4—131no—
1074C23×C4—131no—
1075C23×C4—131no—
1076C23×C4—131no—
1077C23×C4—131no—
1078C23×C4—131no—
1079C23×C4—131no—
1080C23×C4—131no—
1081C23×C4—131no—
1082C23×C4—131no—
1083C23×C4—131no—
1084C23×C4—131no—
1085C23×C4—131no—
1086C23×C4—131no—
1087C23×C4—131no—
1088C23×C4—131no—
1089C23×C4—131no—
1090C23×C4—264no—
1091C23×C4—264no—
1092C23×C4—264no—
1093C23×C4—264no—
1094C23×C4—264no—
1095C23×C4—264no—
1096C23×C4—264no—
1097C23×C4—522no—
1098C23×C4—522no—
1099C23×C4—522no—
1100C23×C4—522no—
1101C23×C4—522no—
1102C23×C4C22×D1311yescharacteristic
1103C23×C4C22×D1311yescharacteristic
1104C23×C4C22×D1311yescharacteristic
1105C23×C4C22×D1311yescharacteristic
1106C22⋊Q8—24no—
1107C22⋊Q8—264no—
1108C22⋊Q8—264no—
1109C22⋊Q8—264no—
1110C22⋊Q8—264no—
1111C22⋊Q8—264no—
1112C22⋊Q8—264no—
1113C22⋊Q8—264no—
1114C4×D4—24no—
1115C4×D4—264no—
1116C4×D4—264no—
1117C4×D4—264no—
1118C4×D4—264no—
1119C4×D4—264no—
1120C4×D4—264no—
1121C4×D4—264no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—131no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4—131no—
1141C2×C4⋊C4—131no—
1142C2×C4⋊C4—131no—
1143C2×C4⋊C4—131no—
1144C2×C4⋊C4—131no—
1145C2×C4⋊C4—131no—
1146C2×C4⋊C4—264no—
1147C2×C4⋊C4—264no—
1148C2×C4⋊C4—264no—
1149C2×C4⋊C4—264no—
1150C2×C4⋊C4—264no—
1151C2×C4⋊C4—522no—
1152C2×C4⋊C4—522no—
1153C2×C4⋊C4—522no—
1154C2×C4⋊C4C22×D1311yescharacteristic
1155C2×C4⋊C4C22×D1311yescharacteristic
1156C2×C4⋊C4C22×D1311yescharacteristic
1157C2×C4⋊C4C22×D1311yescharacteristic
1158C2×C4⋊C4C22×D1311yescharacteristic
1159C2×C4⋊C4C22×D1311yescharacteristic
1160C2×C4⋊C4C22×D1311yescharacteristic
1161C2×C4⋊C4C22×D1311yescharacteristic
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—138no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—264no—
1188C2×C22⋊C4—264no—
1189C2×C22⋊C4—264no—
1190C2×C22⋊C4—264no—
1191C2×C22⋊C4—522no—
1192C2×C22⋊C4—522no—
1193C2×C22⋊C4—522no—
1194C2×C22⋊C4C22×D1311yescharacteristic
1195C2×C22⋊C4C22×D1311yescharacteristic
1196C2×C22⋊C4C22×D1311yescharacteristic
1197C2×C22⋊C4C22×D1311yescharacteristic
1198C2×C22⋊C4C22×D1311yescharacteristic
1199C2×C22⋊C4C22×D1311yescharacteristic
1200C2×C22⋊C4C22×D1311yescharacteristic
1201C2×C22⋊C4C22×D1311yescharacteristic
1202C2×C42—131no—
1203C2×C42—131no—
1204C2×C42—131no—
1205C2×C42—264no—
1206C2×C42C22×D1311yescharacteristic
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95C22×D1311yescharacteristic
1244#95C22×D1311yescharacteristic
1245#95C22×D1311yescharacteristic
1246#95C22×D1311yescharacteristic
1247#95C22×D1311yescharacteristic
1248#95C22×D1311yescharacteristic
1249#95C22×D1311yescharacteristic
1250#95C22×D1311yescharacteristic
1251#95C22×D1311yescharacteristic
1252#95C22×D1311yescharacteristic
1253#95C22×D1311yescharacteristic
1254#95C22×D1311yescharacteristic
1255C2×C13—24no—
1256C2×C13—42no—
1257C2×C13C22×C22⋊Q811yescharacteristic
1258C2×C13C2×#52911yescharacteristic
1259C2×C13C2×#53811yescharacteristic
1260C2×C13C2×#54611yescharacteristic
1261C2×C13C2×#54611yescharacteristic
1262C2×C13C2×#55411yescharacteristic
1263C2×C13C2×#55411yescharacteristic
1264D13—24no—
1265D13—42no—
1266D13#245018yesdirect product factor
1267C24—131no—
1268C24—134no—
1269C24—134no—
1270C24—134no—
1271C24—131no—
1272C24—134no—
1273C24—131no—
1274C24—262no—
1275C24—262no—
1276C24—262no—
1277C24—262no—
1278C24—262no—
1279C24—262no—
1280C24—262no—
1281C24—262no—
1282C24—262no—
1283C24—262no—
1284C24C23×D1311yescharacteristic
1285C24C23×D1311yescharacteristic
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—41no—
1289C2×Q8—262no—
1290C2×Q8—262no—
1291C2×Q8—262no—
1292C2×Q8—262no—
1293C2×Q8—262no—
1294C2×Q8—262no—
1295C2×Q8—521no—
1296C2×Q8—521no—
1297C2×Q8—521no—
1298C2×Q8—5216no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—134no—
1302C2×D4—134no—
1303C2×D4—134no—
1304C2×D4—262no—
1305C2×D4—262no—
1306C2×D4—2632no—
1307C2×D4—262no—
1308C2×D4—262no—
1309C2×D4—262no—
1310C2×D4—262no—
1311C2×D4Q8×D1314yescomplemented
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—131no—
1329C22×C4—134no—
1330C22×C4—134no—
1331C22×C4—134no—
1332C22×C4—134no—
1333C22×C4—134no—
1334C22×C4—131no—
1335C22×C4—131no—
1336C22×C4—131no—
1337C22×C4—131no—
1338C22×C4—131no—
1339C22×C4—131no—
1340C22×C4—131no—
1341C22×C4—131no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—262no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—262no—
1362C22×C4—262no—
1363C22×C4—262no—
1364C22×C4—262no—
1365C22×C4—262no—
1366C22×C4—262no—
1367C22×C4—262no—
1368C22×C4—262no—
1369C22×C4—262no—
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×C4—262no—
1380C22×C4—262no—
1381C22×C4—262no—
1382C22×C4—262no—
1383C22×C4—262no—
1384C22×C4—262no—
1385C22×C4—262no—
1386C22×C4—262no—
1387C22×C4—262no—
1388C22×C4—262no—
1389C22×C4—262no—
1390C22×C4—262no—
1391C22×C4—262no—
1392C22×C4—262no—
1393C22×C4—262no—
1394C22×C4—262no—
1395C22×C4—262no—
1396C22×C4—262no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—521no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4—521no—
1404C22×C4—521no—
1405C22×C4—521no—
1406C22×C4—521no—
1407C22×C4—5216no—
1408C22×C4—5216no—
1409C22×C4—5216no—
1410C22×C4—5216no—
1411C22×C4—521no—
1412C22×C4—521no—
1413C22×C4—521no—
1414C22×C4—521no—
1415C22×C4—521no—
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418C22×C4C23×D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C22×C4C23×D1311yescharacteristic
1422C22×C4C23×D1311yescharacteristic
1423C22×C4C23×D1311yescharacteristic
1424C22×C4C23×D1311yescharacteristic
1425C22×C4C23×D1311yescharacteristic
1426C22×C4C23×D1311yescharacteristic
1427C22×C4C23×D1311yescharacteristic
1428C22×C4C23×D1311yescharacteristic
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—262no—
1438C4⋊C4—262no—
1439C4⋊C4—262no—
1440C4⋊C4—262no—
1441C4⋊C4—262no—
1442C4⋊C4—262no—
1443C4⋊C4—262no—
1444C4⋊C4—262no—
1445C4⋊C4—262no—
1446C4⋊C4—262no—
1447C4⋊C4—262no—
1448C4⋊C4—262no—
1449C4⋊C4—262no—
1450C4⋊C4—262no—
1451C4⋊C4—262no—
1452C4⋊C4—521no—
1453C4⋊C4—521no—
1454C4⋊C4—521no—
1455C4⋊C4—521no—
1456C4⋊C4—521no—
1457C4⋊C4—521no—
1458C4⋊C4—521no—
1459C4⋊C4—521no—
1460C4⋊C4—521no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—134no—
1469C22⋊C4—134no—
1470C22⋊C4—134no—
1471C22⋊C4—262no—
1472C22⋊C4—262no—
1473C22⋊C4—262no—
1474C22⋊C4—262no—
1475C22⋊C4—262no—
1476C22⋊C4—262no—
1477C22⋊C4—262no—
1478C22⋊C4—262no—
1479C22⋊C4—262no—
1480C22⋊C4—262no—
1481C22⋊C4—262no—
1482C22⋊C4—262no—
1483C22⋊C4—521no—
1484C22⋊C4—521no—
1485C22⋊C4—521no—
1486C22⋊C4—521no—
1487C22⋊C4—521no—
1488C22⋊C4—521no—
1489C22⋊C4—521no—
1490C22⋊C4—521no—
1491C22⋊C4—521no—
1492C22⋊C4D4×D1314yes—
1493C42—22no—
1494C42—262no—
1495C42—262no—
1496C42—262no—
1497C13C2×#245011yescharacteristic, complemented, Sylow
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—132no—
1509C23—132no—
1510C23—132no—
1511C23—132no—
1512C23—132no—
1513C23—132no—
1514C23—132no—
1515C23—1316no—
1516C23—132no—
1517C23—132no—
1518C23—132no—
1519C23—132no—
1520C23—268no—
1521C23—268no—
1522C23—268no—
1523C23—268no—
1524C23—268no—
1525C23—268no—
1526C23—268no—
1527C23—268no—
1528C23—268no—
1529C23—261no—
1530C23—261no—
1531C23—261no—
1532C23—261no—
1533C23—261no—
1534C23—261no—
1535C23—261no—
1536C23—261no—
1537C23—261no—
1538C23—261no—
1539C23—524no—
1540C23—524no—
1541C23—524no—
1542C23—524no—
1543C23C2×D4×D1312yes—
1544C23C2×Q8×D1312yes—
1545C23C2×Q8×D1312yes—
1546C23#41×D1312yes—
1547C23C24×D1311yescharacteristic
1548Q8—44no—
1549Q8—524no—
1550Q8—524no—
1551Q8—524no—
1552D4—28no—
1553D4—268no—
1554D4—268no—
1555D4—268no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—132no—
1595C2×C4—132no—
1596C2×C4—132no—
1597C2×C4—132no—
1598C2×C4—132no—
1599C2×C4—268no—
1600C2×C4—268no—
1601C2×C4—268no—
1602C2×C4—268no—
1603C2×C4—268no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—261no—
1626C2×C4—261no—
1627C2×C4—261no—
1628C2×C4—261no—
1629C2×C4—261no—
1630C2×C4—261no—
1631C2×C4—261no—
1632C2×C4—261no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—524no—
1639C2×C4—524no—
1640C2×C4—524no—
1641C2×C4—524no—
1642C2×C4—524no—
1643C2×C4—524no—
1644C2×C4—524no—
1645C2×C4—524no—
1646C2×C4—524no—
1647C2×C4—524no—
1648C2×C4—524no—
1649C2×C4—524no—
1650C2×C4—524no—
1651C2×C4—524no—
1652C2×C4—524no—
1653C2×C4—524no—
1654C2×C4—524no—
1655C2×C4—524no—
1656C2×C4—524no—
1657C2×C4—524no—
1658C2×C4C2×D4×D1312yes—
1659C2×C4C2×D4×D1312yes—
1660C2×C4C2×Q8×D1312yes—
1661C2×C4#41×D1312yes—
1662C2×C4#41×D1312yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—134no—
1677C22—134no—
1678C22—134no—
1679C22—134no—
1680C22—134no—
1681C22—134no—
1682C22—134no—
1683C22—134no—
1684C22—2632no—
1685C22—262no—
1686C22—262no—
1687C22—262no—
1688C22—262no—
1689C22—262no—
1690C22—262no—
1691C22—262no—
1692C22—262no—
1693C22—262no—
1694C22—5216no—
1695C22—521no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22D13×C22⋊Q814yes—
1700C22C22×D4×D1311yescharacteristic
1701C22C22×Q8×D1311yescharacteristic
1702C22C2×#41×D1311yescharacteristic
1703C22C2×#41×D1311yescharacteristic
1704C22C2×#41×D1311yescharacteristic
1705C22D13×H(5,𝔽2)11yescharacteristic
1706C22D13×H(5,𝔽2)11yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—262no—
1721C4—262no—
1722C4—262no—
1723C4—262no—
1724C4—262no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4—521no—
1731C4—521no—
1732C4—521no—
1733C2—24no—
1734C2—42no—
1735C2—138no—
1736C2—264no—
1737C2—522no—
1738C2C2×D13×C22⋊Q811yescharacteristic
1739C2D13×#52911yescharacteristic
1740C2D13×#53811yescharacteristic
1741C2D13×#54611yescharacteristic
1742C2D13×#54611yescharacteristic
1743C2D13×#55411yescharacteristic
1744C2D13×#55411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2450C2
prime radicalC22×D4×D13C22
hypercenter#2450D13
hypocenterC13C2×#2450
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×D13×C22⋊Q8C2semidirect
3. #13118667C2semidirect
4. #13118666C2semidirect
5. #13118665C2semidirect
6. #13118664C2semidirect
7. #13118663C2semidirect
8. #13118662C2semidirect
9. #13118661C2semidirect
10. #13118660C2semidirect
11. #13118659C2semidirect
12. #13118658C2semidirect
13. #13118657C2semidirect
14. #13118656C2semidirect
15. #13118655C2semidirect
16. #13118654C2semidirect
17. #13118653C2semidirect
18. D13×#400C2semidirect
19. D13×#398C2semidirect
20. D13×#396C2semidirect
21. D13×#393C2semidirect
22. D13×#391C2semidirect
23. D13×#387C2semidirect
26. D13×#385C2semidirect
27. D13×#385C2semidirect
28. D13×#385C2semidirect
29. D13×#380C2semidirect
30. C2×D13×#95C2semidirect
31. C13×#2450C2semidirect
38. C2×C13×C22⋊Q8C22semidirect
40. C2×#88200C22semidirect
44. C2×#88178C22semidirect
47. C2×#88151C22semidirect
48. C2×#88150C22semidirect
49. C2×#88150C22semidirect
69. C2×#88132C22semidirect
70. C2×#88132C22semidirect
73. C13×#400C22semidirect
74. C13×#398C22semidirect
75. C13×#396C22semidirect
76. C13×#393C22semidirect
77. C13×#391C22semidirect
78. C13×#387C22semidirect
81. C13×#385C22semidirect
82. C13×#385C22semidirect
83. C13×#385C22semidirect
84. C13×#380C22semidirect
85. C2×C13×#95C22semidirect
86. #11718892C22semidirect
87. #11718891C22semidirect
92. #11718873C22semidirect
93. #11718871C22semidirect
94. #11718871C22semidirect
95. #11718871C22semidirect
96. C2×#88071C22semidirect
97. C2×#88071C22semidirect
98. C2×#88071C22semidirect
99. #11718655C22semidirect
100. #11718655C22semidirect
101. #11718655C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718650C22semidirect
105. #11718650C22semidirect
106. #11718650C22semidirect
107. #11718650C22semidirect
108. #11718648C22semidirect
109. #11718648C22semidirect
110. #11718647C22semidirect
111. #11718645C22semidirect
112. #11718645C22semidirect
113. #11718644C22semidirect
114. #11718643C22semidirect
115. #11718642C22semidirect
116. #11718641C22semidirect
117. #11718639C22semidirect
118. #11718635C22semidirect
125. #11718611C22semidirect
126. #11718611C22semidirect
127. #11718611C22semidirect
128. #11718609C22semidirect
129. #11718609C22semidirect
130. #11718609C22semidirect
131. #11718608C22semidirect
132. #11718608C22semidirect
133. #11718608C22semidirect
134. #11718607C22semidirect
135. #11718607C22semidirect
136. #11718607C22semidirect
137. #11718603C22semidirect
138. #11718603C22semidirect
139. #11718594C22semidirect
140. #11718590C22semidirect
141. #11718337C22semidirect
142. #11718334C22semidirect
143. #11718334C22semidirect
144. #11718334C22semidirect
145. #11718329C22semidirect
146. #11718329C22semidirect
147. #11718329C22semidirect
148. #11718329C22semidirect
149. #11718329C22semidirect
150. #11718329C22semidirect
151. #11718328C22semidirect
152. #11718328C22semidirect
169. D13×#95C22semidirect
170. D13×#95C22semidirect
171. D13×#95C22semidirect
172. D13×#95C22semidirect
173. #11718322C22semidirect
174. #11718321C22semidirect
175. #11718321C22semidirect
176. #11718320C22semidirect
177. #11718319C22semidirect
178. #11718319C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718313C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
208. C2×D4×D13Q8semidirect
420. C2×D4×C13C2×Q8semidirect
450. C2×C22⋊D13C2×Q8semidirect
451. C2×C22⋊D13C2×Q8semidirect
481. C2×D52C2×Q8semidirect
643. #2450D13direct (N × H)
836. C2×C22⋊Q8C2×D13semidirect
870. #400C2×D13semidirect
878. #398C2×D13semidirect
886. #396C2×D13semidirect
894. #393C2×D13semidirect
902. #391C2×D13semidirect
910. #387C2×D13semidirect
948. #385C2×D13semidirect
949. #385C2×D13semidirect
950. #385C2×D13semidirect
958. #380C2×D13semidirect
978. C2×#95C2×D13semidirect
1266. D13#2450direct (N × H)
1311. C2×D4Q8×D13semidirect
1497. C13C2×#2450semidirect

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×C4×D4×D132
#131186672
#131186662
#131186652
#131186642
#131186632
#131186622
#131186612
#131186602
#131186592
#131186582
#131186572
#131186562
#131186552
#131186542
#131186532
D13×#4002
D13×#3982
D13×#3962
D13×#3932
D13×#3912
D13×#3872
D13×#3862
D13×#3852
D13×#3802
C2×D13×#952
C13×#24502
C2×#245013