Finite Group Databasebeta

← D13×#2560 #16033072

Subgroups — D13×#2560 #16033072

Order 3328.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#126C211yesmaximal, characteristic, complemented
2C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13119987C211yesmaximal, characteristic, complemented
4#13119986C211yesmaximal, characteristic, complemented
5#13119985C211yesmaximal, characteristic, complemented
6#13119984C211yesmaximal, characteristic, complemented
7#13119983C211yesmaximal, characteristic, complemented
8#13119982C211yesmaximal, characteristic, complemented
9#13119981C211yesmaximal, characteristic, complemented
10#13119980C211yesmaximal, characteristic, complemented
11#13119979C211yesmaximal, characteristic, complemented
12#13119978C211yesmaximal, characteristic, complemented
13#13119977C211yesmaximal, characteristic, complemented
14#13119976C211yesmaximal, characteristic, complemented
15#13119975C211yesmaximal, characteristic, complemented
16#13119974C211yesmaximal, characteristic, complemented
17#13119973C211yesmaximal, characteristic, complemented
18D13×#398C211yesmaximal, characteristic, complemented
19D13×#397C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic
21D13×#393C211yesmaximal, characteristic, complemented
22D13×#391C211yesmaximal, characteristic, complemented
23D13×#390C211yesmaximal, characteristic
24D13×#388C211yesmaximal, characteristic, complemented
25D13×#388C211yesmaximal, characteristic, complemented
26D13×#388C211yesmaximal, characteristic, complemented
27D13×#387C211yesmaximal, characteristic, complemented
28D13×#386C211yesmaximal, characteristic
29C4×C4⋊C4×D13C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2560C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic, complemented
36C2×C13×C22⋊Q8C2211yescharacteristic, complemented
37C2×#88200C2211yescharacteristic, complemented
38C2×#88178C2211yescharacteristic, complemented
39D13×#126—28no—
40D13×C22⋊Q8—28no—
41C2×#88152C2211yescharacteristic, complemented
42C2×#88152C2211yescharacteristic, complemented
43C2×#88152C2211yescharacteristic, complemented
44C2×#88151C2211yescharacteristic, complemented
45C2×#88150C2211yescharacteristic, complemented
46C2×#88150C2211yescharacteristic, complemented
47C2×C4⋊C4×D13C2211yescharacteristic
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×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×#88133C2211yescharacteristic, complemented
66C2×#88133C2211yescharacteristic, complemented
67C2×#88133C2211yescharacteristic, complemented
68C2×#88132C2211yescharacteristic, complemented
69C2×#88132C2211yescharacteristic, complemented
70C2×#88130C2211yescharacteristic, complemented
71C2×C42×D13C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75C13×#398C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic
78C13×#393C2211yescharacteristic, complemented
79C13×#391C2211yescharacteristic, complemented
80C13×#390C2211yescharacteristic
81C13×#388C2211yescharacteristic, complemented
82C13×#388C2211yescharacteristic, complemented
83C13×#388C2211yescharacteristic, complemented
84C13×#387C2211yescharacteristic, complemented
85C13×#386C2211yescharacteristic
86C4×C13×C4⋊C4C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88#11718892C2211yescharacteristic, complemented
89#11718891C2211yescharacteristic, complemented
90#11718883C2211yescharacteristic
91#11718882C2211yescharacteristic
92#11718881C2211yescharacteristic
93#11718874C2211yescharacteristic
94C4×C22⋊Dic13C2211yescharacteristic, complemented
95#11718654C2211yescharacteristic, complemented
96#11718652C2211yescharacteristic
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718649C2211yescharacteristic
101#11718645C2211yescharacteristic, complemented
102#11718645C2211yescharacteristic, complemented
103#11718644C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718641C2211yescharacteristic, complemented
106#11718639C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718635C2211yescharacteristic, complemented
110#11718622C2211yescharacteristic
111#11718622C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718618C2211yescharacteristic
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718618C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718614C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718612C2211yescharacteristic, complemented
125#11718612C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718608C2211yescharacteristic, complemented
128#11718608C2211yescharacteristic, complemented
129#11718608C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic, complemented
137C22⋊C4×Dic13C2211yescharacteristic, complemented
138#11718601C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic, complemented
141#11718600C2211yescharacteristic
142C4×#6103C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic, complemented
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148#11718590C2211yescharacteristic, complemented
149#11718336C2211yescharacteristic, complemented
150#11718336C2211yescharacteristic, complemented
151#11718335C2211yescharacteristic, complemented
152#11718334C2211yescharacteristic, complemented
153#11718334C2211yescharacteristic, complemented
154#11718334C2211yescharacteristic, complemented
155#11718333C2211yescharacteristic
156#11718331C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718331C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176#11718322C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, 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
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C2×Q8×D13—24no—
198C2×Q8×D13—24no—
199C2×Q8×D13—42no—
200C2×D4×D13—24no—
201C2×D4×D13—24no—
202C2×D4×D13—42no—
203C22×D52C2311yescharacteristic
204C22×C4×D13—24no—
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
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×Dic26C2311yescharacteristic
223C22×Dic26C2311yescharacteristic
224C22×Dic26C2311yescharacteristic
225C13×#126—24no—
226C13×C22⋊Q8—24no—
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260#88200—24no—
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290#88178—24no—
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317#88152—24no—
318#88152—24no—
319#88152—24no—
320#88151—24no—
321#88150—24no—
322#88150—24no—
323C4⋊C4×D13—24no—
324C4⋊C4×D13—24no—
325C4⋊C4×D13—24no—
326C4⋊C4×D13—24no—
327C4⋊C4×D13—24no—
328C4⋊C4×D13—24no—
329C4⋊C4×D13D418yescomplemented
330C22⋊C4×D13—24no—
331C22⋊C4×D13—24no—
332C22⋊C4×D13—24no—
333C22⋊C4×D13—24no—
334C22⋊C4×D13—24no—
335C22⋊C4×D13—24no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—24no—
340C22⋊C4×D13—42no—
341#88133—24no—
342#88133—24no—
343#88133—24no—
344#88132—24no—
345#88132—24no—
346#88130—24no—
347C42×D13—24no—
348C42×D13—24no—
349C42×D13—42no—
350C42×D13—42no—
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
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
391C2×#2560—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
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#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C2×Q8×C13—22no—
412C2×Q8×C13—22no—
413C2×Q8×C13—41no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—41no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—41no—
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—41no—
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455Q8×D13—416no—
456D4×D13—416no—
457C2×D52—22no—
458C2×D52—22no—
459C2×D52—41no—
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—416no—
498C2×C4×D13—41no—
499C2×C4×D13—41no—
500C2×C4×D13C2×D414yes—
501C2×C4×D13C2×D414yes—
502C2×C4×D13C2×D414yes—
503C2×C4×D13#4114yes—
504C2×C4×D13#4114yes—
505C2×C4×D13#4114yes—
506C2×Dic26—22no—
507C2×Dic26—22no—
508C2×Dic26—22no—
509C2×Dic26—22no—
510C2×Dic26—22no—
511C2×Dic26—22no—
512C2×Dic26—41no—
513C2×Dic26—41no—
514C2×Dic26—41no—
515C13×C4⋊C4—22no—
516C13×C4⋊C4—22no—
517C13×C4⋊C4—22no—
518C13×C4⋊C4—22no—
519C13×C4⋊C4—22no—
520C13×C4⋊C4—22no—
521C13×C4⋊C4C2×D414yescomplemented
522C13×C22⋊C4—22no—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—41no—
533C42×C13—22no—
534C42×C13—22no—
535C42×C13—41no—
536C42×C13—41no—
537C22⋊Dic13—22no—
538C22⋊Dic13—22no—
539C22⋊Dic13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—41no—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—41no—
569#6103—41no—
570C4⋊Dic13—22no—
571C4⋊Dic13—22no—
572C4⋊Dic13—22no—
573C4⋊Dic13—22no—
574C4⋊Dic13—22no—
575C4⋊Dic13—22no—
576C4⋊Dic13C2×D414yescomplemented
577#6101—22no—
578#6101—22no—
579#6101—22no—
580#6101—22no—
581#6101—22no—
582#6101—22no—
583#6101—22no—
584#6101—22no—
585#6101—22no—
586#6101—22no—
587#6101—22no—
588#6101—22no—
589#6101C2×D414yescomplemented
590#6101C2×D414yescomplemented
591C4×Dic13—22no—
592C4×Dic13—22no—
593C4×Dic13—22no—
594C4×Dic13—22no—
595C4×Dic13—22no—
596C4×Dic13—22no—
597C4×Dic13—41no—
598C4×Dic13—41no—
599C4×Dic13—41no—
600C4×Dic13—41no—
601C4×Dic13—41no—
602C4×Dic13—41no—
603C22×#126—131no—
604C22×C22⋊Q8—131no—
605#2560—131no—
606#2560—131no—
607#2560—131no—
608#2560—131no—
609#2560—131no—
610#2560—131no—
611#2560—131no—
612#2560—131no—
613#2560—131no—
614#2560—131no—
615#2560—131no—
616#2560—131no—
617#2560—131no—
618#2560—131no—
619#2560—131no—
620#2560D1311yescharacteristic, direct product factor
621C2×#398—131no—
622C2×#397—131no—
623C2×#394—131no—
624C2×#393—131no—
625C2×#391—131no—
626C2×#390—131no—
627C2×#388—131no—
628C2×#388—131no—
629C2×#388—131no—
630C2×#387—131no—
631C2×#386—131no—
632C2×C4×C4⋊C4—131no—
633C2×C4×C22⋊C4—131no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13C2×#4112yes—
648C23×C13C2511yescharacteristic
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—28no—
656C22×D13—28no—
657C22×D13—28no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—44no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—44no—
674C22×D13—44no—
675C22×D13—44no—
676C22×D13C22×D412yes—
677C22×D13C2×#4112yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13C2×#4112yes—
682C22×D13H(5,𝔽2)12yes—
683C22×D132−1+412yes—
684Q8×C13—44no—
685D4×C13—44no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
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—44no—
720C2×C4×C13C22×D412yes—
721C2×C4×C13C22×D412yes—
722C2×C4×C13C22×D412yes—
723C2×C4×C13C2×#4112yes—
724C2×C4×C13C2×#4112yes—
725C2×C4×C13C2×#4112yes—
726C22⋊D13—44no—
727C22⋊D13—44no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—44no—
762C2×Dic13C22×D412yes—
763C2×Dic13C22×D412yes—
764C2×Dic13C22×D412yes—
765C2×Dic13C2×#4112yes—
766C2×Dic13C2×#4112yes—
767C2×Dic13C2×#4112yes—
768D52—44no—
769C4×D13—28no—
770C4×D13—28no—
771C4×D13—28no—
772C4×D13—28no—
773C4×D13—28no—
774C4×D13—28no—
775C4×D13—44no—
776C4×D13—44no—
777C4×D13—44no—
778C4×D13—44no—
779C4×D13—44no—
780C4×D13—44no—
781C4×D13—44no—
782C4×D13—44no—
783C4×D13—44no—
784Dic26—44no—
785Dic26—44no—
786Dic26—44no—
787C23×Q8—131no—
788C23×D4—131no—
789C24×C4—131no—
790C2×#126—131no—
791C2×#126—131no—
792C2×#126—131no—
793C2×#126—131no—
794C2×#126—131no—
795C2×#126—131no—
796C2×#126—131no—
797C2×#126—268no—
798C2×#126C2×D1311yescharacteristic, complemented
799C2×C22⋊Q8—131no—
800C2×C22⋊Q8—131no—
801C2×C22⋊Q8—131no—
802C2×C22⋊Q8—131no—
803C2×C22⋊Q8—131no—
804C2×C22⋊Q8—131no—
805C2×C22⋊Q8—131no—
806C2×C22⋊Q8—268no—
807C2×C22⋊Q8C2×D1311yescharacteristic, complemented
808C22×C4⋊C4—131no—
809C22×C4⋊C4—131no—
810C22×C4⋊C4—131no—
811C22×C4⋊C4—131no—
812C22×C4⋊C4—131no—
813C22×C4⋊C4—131no—
814C22×C4⋊C4—131no—
815C22×C22⋊C4—131no—
816C22×C22⋊C4—131no—
817C22×C22⋊C4—131no—
818C22×C22⋊C4—131no—
819C22×C22⋊C4—131no—
820C22×C22⋊C4—131no—
821C22×C22⋊C4—131no—
822C22×C22⋊C4—131no—
823C22×C22⋊C4—131no—
824C22×C22⋊C4—131no—
825C22×C22⋊C4—131no—
826C22×C42—131no—
827C22×C42—131no—
828C22×C42—131no—
829C22×C42—131no—
830#398—131no—
831#398—131no—
832#398—131no—
833#398—131no—
834#398—131no—
835#398—131no—
836#398—131no—
837#398C2×D1311yescharacteristic, complemented
838#397—131no—
839#397—131no—
840#397—131no—
841#397—131no—
842#397—131no—
843#397—131no—
844#397—131no—
845#397C2×D1311yescharacteristic, complemented
846#394—131no—
847#394—131no—
848#394—131no—
849#394—131no—
850#394—131no—
851#394—131no—
852#394—131no—
853#394C2×D1311yescharacteristic
854#393—131no—
855#393—131no—
856#393—131no—
857#393—131no—
858#393—131no—
859#393—131no—
860#393—131no—
861#393C2×D1311yescharacteristic, complemented
862#391—131no—
863#391—131no—
864#391—131no—
865#391—131no—
866#391—131no—
867#391—131no—
868#391—131no—
869#391C2×D1311yescharacteristic, complemented
870#390—131no—
871#390—131no—
872#390—131no—
873#390—131no—
874#390—131no—
875#390—131no—
876#390—131no—
877#390C2×D1311yescharacteristic
878#388—131no—
879#388—131no—
880#388—131no—
881#388—131no—
882#388—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388—131no—
897#388—131no—
898#388—131no—
899#388C2×D1311yescharacteristic, complemented
900#388C2×D1311yescharacteristic, complemented
901#388C2×D1311yescharacteristic, complemented
902#387—131no—
903#387—131no—
904#387—131no—
905#387—131no—
906#387—131no—
907#387—131no—
908#387—131no—
909#387C2×D1311yescharacteristic, complemented
910#386—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#386—131no—
917#386C2×D1311yescharacteristic
918C4×C4⋊C4—131no—
919C4×C4⋊C4—131no—
920C4×C4⋊C4—131no—
921C4×C4⋊C4—131no—
922C4×C4⋊C4—131no—
923C4×C4⋊C4—131no—
924C4×C4⋊C4—131no—
925C4×C4⋊C4C2×D1311yescharacteristic, complemented
926C4×C22⋊C4—131no—
927C4×C22⋊C4—131no—
928C4×C22⋊C4—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C4×C22⋊C4—131no—
932C4×C22⋊C4—131no—
933C4×C22⋊C4C2×D1311yescharacteristic, complemented
934C2×#95—131no—
935C2×#95—131no—
936C2×#95—131no—
937C2×#95—131no—
938C2×#95—131no—
939C2×#95—131no—
940C2×#95—131no—
941C2×#95—131no—
942C2×#95—131no—
943C2×#95—131no—
944C22×C13—22no—
945C22×C13—22no—
946C22×C13—22no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13—41no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13C23×D411yescharacteristic
959C22×C13C22×#4111yescharacteristic
960C22×C13C22×#4111yescharacteristic
961C22×C13C22×#4111yescharacteristic
962C22×C13C22×#4111yescharacteristic
963C22×C13C2×H(5,𝔽2)11yescharacteristic
964C22×C13C2×2−1+411yescharacteristic
965C2×D13—22no—
966C2×D13—22no—
967C2×D13—22no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—416no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—88no—
981C2×D13#52914yes—
982C2×D13#53214yes—
983C2×D13#53914yes—
984C2×D13#54614yes—
985C2×D13#54814yes—
986C2×D13#55114yes—
987C2×D13#55614yes—
988C4×C13—22no—
989C4×C13—22no—
990C4×C13—22no—
991C4×C13—22no—
992C4×C13—22no—
993C4×C13—22no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001Dic13—22no—
1002Dic13—22no—
1003Dic13—22no—
1004Dic13—22no—
1005Dic13—22no—
1006Dic13—22no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014C25—131no—
1015C25—131no—
1016C22×Q8—131no—
1017C22×Q8—131no—
1018C22×Q8—131no—
1019C22×Q8—264no—
1020C22×Q8—264no—
1021C22×Q8—522no—
1022C22×Q8C22×D1311yescharacteristic
1023C22×D4—131no—
1024C22×D4—131no—
1025C22×D4—131no—
1026C22×D4—264no—
1027C22×D4—264no—
1028C22×D4—522no—
1029C22×D4C22×D1311yescharacteristic
1030C23×C4—131no—
1031C23×C4—131no—
1032C23×C4—131no—
1033C23×C4—131no—
1034C23×C4—131no—
1035C23×C4—131no—
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—131no—
1045C23×C4—131no—
1046C23×C4—264no—
1047C23×C4—264no—
1048C23×C4—522no—
1049C23×C4C22×D1311yescharacteristic
1050#126—24no—
1051#126—264no—
1052#126—264no—
1053#126—264no—
1054#126—264no—
1055#126—264no—
1056#126—264no—
1057#126—264no—
1058C22⋊Q8—24no—
1059C22⋊Q8—264no—
1060C22⋊Q8—264no—
1061C22⋊Q8—264no—
1062C22⋊Q8—264no—
1063C22⋊Q8—264no—
1064C22⋊Q8—264no—
1065C22⋊Q8—264no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—138no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—131no—
1085C2×C4⋊C4—131no—
1086C2×C4⋊C4—131no—
1087C2×C4⋊C4—131no—
1088C2×C4⋊C4—264no—
1089C2×C4⋊C4—264no—
1090C2×C4⋊C4—264no—
1091C2×C4⋊C4—264no—
1092C2×C4⋊C4—264no—
1093C2×C4⋊C4—264no—
1094C2×C4⋊C4C22×D1311yescharacteristic
1095C2×C4⋊C4C22×D1311yescharacteristic
1096C2×C4⋊C4C22×D1311yescharacteristic
1097C2×C4⋊C4C22×D1311yescharacteristic
1098C2×C4⋊C4C22×D1311yescharacteristic
1099C2×C4⋊C4C22×D1311yescharacteristic
1100C2×C4⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—264no—
1135C2×C22⋊C4—264no—
1136C2×C22⋊C4—264no—
1137C2×C22⋊C4—264no—
1138C2×C22⋊C4—264no—
1139C2×C22⋊C4—264no—
1140C2×C22⋊C4—264no—
1141C2×C22⋊C4—264no—
1142C2×C22⋊C4—264no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—522no—
1145C2×C22⋊C4C22×D1311yescharacteristic
1146C2×C22⋊C4C22×D1311yescharacteristic
1147C2×C22⋊C4C22×D1311yescharacteristic
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C22⋊C4C22×D1311yescharacteristic
1156C2×C42—131no—
1157C2×C42—131no—
1158C2×C42—131no—
1159C2×C42—131no—
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—264no—
1169C2×C42—264no—
1170C2×C42—522no—
1171C2×C42—522no—
1172C2×C42C22×D1311yescharacteristic
1173C2×C42C22×D1311yescharacteristic
1174C2×C42C22×D1311yescharacteristic
1175C2×C42C22×D1311yescharacteristic
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95C22×D1311yescharacteristic
1207#95C22×D1311yescharacteristic
1208#95C22×D1311yescharacteristic
1209#95C22×D1311yescharacteristic
1210#95C22×D1311yescharacteristic
1211#95C22×D1311yescharacteristic
1212#95C22×D1311yescharacteristic
1213#95C22×D1311yescharacteristic
1214#95C22×D1311yescharacteristic
1215#95C22×D1311yescharacteristic
1216C2×C13—42no—
1217C2×C13—81no—
1218C2×C13C2×#52911yescharacteristic
1219C2×C13C2×#53211yescharacteristic
1220C2×C13C2×#53911yescharacteristic
1221C2×C13C2×#54611yescharacteristic
1222C2×C13C2×#54811yescharacteristic
1223C2×C13C2×#55111yescharacteristic
1224C2×C13C2×#55611yescharacteristic
1225D13—42no—
1226D13—81no—
1227D13#256018yesdirect product factor
1228C24—131no—
1229C24—134no—
1230C24—131no—
1231C24—131no—
1232C24—262no—
1233C24—262no—
1234C24—262no—
1235C24—262no—
1236C24—262no—
1237C24—262no—
1238C24—262no—
1239C24—262no—
1240C24—262no—
1241C24—262no—
1242C24—262no—
1243C24—262no—
1244C24—262no—
1245C24C23×D1311yescharacteristic
1246C24C23×D1311yescharacteristic
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—41no—
1250C2×Q8—262no—
1251C2×Q8—262no—
1252C2×Q8—262no—
1253C2×Q8—262no—
1254C2×Q8—262no—
1255C2×Q8—262no—
1256C2×Q8—521no—
1257C2×Q8—521no—
1258C2×Q8—521no—
1259C2×Q8—5216no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—41no—
1263C2×D4—262no—
1264C2×D4—262no—
1265C2×D4—262no—
1266C2×D4—262no—
1267C2×D4—262no—
1268C2×D4—262no—
1269C2×D4—521no—
1270C2×D4—5216no—
1271C2×D4—521no—
1272C2×D4—521no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—131no—
1281C22×C4—131no—
1282C22×C4—134no—
1283C22×C4—134no—
1284C22×C4—134no—
1285C22×C4—134no—
1286C22×C4—134no—
1287C22×C4—134no—
1288C22×C4—131no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—262no—
1308C22×C4—262no—
1309C22×C4—262no—
1310C22×C4—262no—
1311C22×C4—262no—
1312C22×C4—262no—
1313C22×C4—262no—
1314C22×C4—262no—
1315C22×C4—262no—
1316C22×C4—262no—
1317C22×C4—262no—
1318C22×C4—262no—
1319C22×C4—262no—
1320C22×C4—262no—
1321C22×C4—262no—
1322C22×C4—262no—
1323C22×C4—262no—
1324C22×C4—262no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—521no—
1335C22×C4—521no—
1336C22×C4—5216no—
1337C22×C4—521no—
1338C22×C4C23×D1311yescharacteristic
1339C22×C4C23×D1311yescharacteristic
1340C22×C4C23×D1311yescharacteristic
1341C22×C4C23×D1311yescharacteristic
1342C22×C4C23×D1311yescharacteristic
1343C22×C4C23×D1311yescharacteristic
1344C22×C4C23×D1311yescharacteristic
1345C22×C4C23×D1311yescharacteristic
1346C22×C4C23×D1311yescharacteristic
1347C22×C4C23×D1311yescharacteristic
1348C22×C4C23×D1311yescharacteristic
1349C22×C4C23×D1311yescharacteristic
1350C22×C4C23×D1311yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—134no—
1358C4⋊C4—134no—
1359C4⋊C4—134no—
1360C4⋊C4—262no—
1361C4⋊C4—262no—
1362C4⋊C4—262no—
1363C4⋊C4—262no—
1364C4⋊C4—262no—
1365C4⋊C4—262no—
1366C4⋊C4—262no—
1367C4⋊C4—262no—
1368C4⋊C4—262no—
1369C4⋊C4—262no—
1370C4⋊C4—262no—
1371C4⋊C4—262no—
1372C4⋊C4—262no—
1373C4⋊C4—262no—
1374C4⋊C4—262no—
1375C4⋊C4—262no—
1376C4⋊C4—262no—
1377C4⋊C4—262no—
1378C4⋊C4D4×D1314yescomplemented
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—262no—
1391C22⋊C4—262no—
1392C22⋊C4—262no—
1393C22⋊C4—262no—
1394C22⋊C4—262no—
1395C22⋊C4—262no—
1396C22⋊C4—262no—
1397C22⋊C4—262no—
1398C22⋊C4—262no—
1399C22⋊C4—262no—
1400C22⋊C4—262no—
1401C22⋊C4—262no—
1402C22⋊C4—262no—
1403C22⋊C4—262no—
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—521no—
1421C22⋊C4—521no—
1422C22⋊C4—521no—
1423C42—22no—
1424C42—22no—
1425C42—41no—
1426C42—41no—
1427C42—262no—
1428C42—262no—
1429C42—262no—
1430C42—262no—
1431C42—262no—
1432C42—262no—
1433C42—521no—
1434C42—521no—
1435C42—521no—
1436C42—521no—
1437C42—521no—
1438C42—521no—
1439C13C2×#256011yescharacteristic, complemented, Sylow
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—132no—
1454C23—132no—
1455C23—132no—
1456C23—132no—
1457C23—132no—
1458C23—132no—
1459C23—132no—
1460C23—132no—
1461C23—268no—
1462C23—268no—
1463C23—268no—
1464C23—261no—
1465C23—261no—
1466C23—261no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—261no—
1474C23—261no—
1475C23—261no—
1476C23—261no—
1477C23—524no—
1478C23—524no—
1479C23—524no—
1480C23—524no—
1481C23—524no—
1482C23—524no—
1483C23—524no—
1484C23—524no—
1485C23—524no—
1486C23—524no—
1487C23—524no—
1488C23#41×D1312yes—
1489C23C24×D1311yescharacteristic
1490Q8—44no—
1491Q8—524no—
1492Q8—524no—
1493Q8—524no—
1494D4—44no—
1495D4—524no—
1496D4—524no—
1497D4—524no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—132no—
1533C2×C4—132no—
1534C2×C4—132no—
1535C2×C4—132no—
1536C2×C4—132no—
1537C2×C4—132no—
1538C2×C4—268no—
1539C2×C4—268no—
1540C2×C4—268no—
1541C2×C4—268no—
1542C2×C4—268no—
1543C2×C4—268no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—524no—
1578C2×C4—524no—
1579C2×C4—524no—
1580C2×C4—524no—
1581C2×C4—524no—
1582C2×C4—524no—
1583C2×C4—524no—
1584C2×C4—524no—
1585C2×C4—524no—
1586C2×C4—524no—
1587C2×C4C2×D4×D1312yes—
1588C2×C4C2×D4×D1312yes—
1589C2×C4C2×D4×D1312yes—
1590C2×C4#41×D1312yes—
1591C2×C4#41×D1312yes—
1592C2×C4#41×D1312yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—134no—
1608C22—134no—
1609C22—134no—
1610C22—134no—
1611C22—134no—
1612C22—134no—
1613C22—134no—
1614C22—262no—
1615C22—262no—
1616C22—262no—
1617C22—5216no—
1618C22—521no—
1619C22—521no—
1620C22—521no—
1621C22—521no—
1622C22—521no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—1048no—
1630C22C22×D4×D1311yescharacteristic
1631C22C2×#41×D1311yescharacteristic
1632C22C2×#41×D1311yescharacteristic
1633C22C2×#41×D1311yescharacteristic
1634C22C2×#41×D1311yescharacteristic
1635C22D13×H(5,𝔽2)11yescharacteristic
1636C22D13×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—262no—
1651C4—262no—
1652C4—262no—
1653C4—262no—
1654C4—262no—
1655C4—262no—
1656C4—521no—
1657C4—521no—
1658C4—521no—
1659C4—521no—
1660C4—521no—
1661C4—521no—
1662C4—521no—
1663C2—42no—
1664C2—81no—
1665C2—138no—
1666C2—522no—
1667C2—1041no—
1668C2D13×#52911yescharacteristic
1669C2D13×#53211yescharacteristic
1670C2D13×#53911yescharacteristic
1671C2D13×#54611yescharacteristic
1672C2D13×#54811yescharacteristic
1673C2D13×#55111yescharacteristic
1674C2D13×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2560C2
prime radicalC22×D4×D13C22
hypercenter#2560D13
hypocenterC13C2×#2560
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2560

Complements

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

NH ≅ G/Ntype
1. C2×D13×#126C2semidirect
2. C2×D13×C22⋊Q8C2semidirect
3. #13119987C2semidirect
4. #13119986C2semidirect
5. #13119985C2semidirect
6. #13119984C2semidirect
7. #13119983C2semidirect
8. #13119982C2semidirect
9. #13119981C2semidirect
10. #13119980C2semidirect
11. #13119979C2semidirect
12. #13119978C2semidirect
13. #13119977C2semidirect
14. #13119976C2semidirect
15. #13119975C2semidirect
16. #13119974C2semidirect
17. #13119973C2semidirect
18. D13×#398C2semidirect
19. D13×#397C2semidirect
21. D13×#393C2semidirect
22. D13×#391C2semidirect
24. D13×#388C2semidirect
25. D13×#388C2semidirect
26. D13×#388C2semidirect
27. D13×#387C2semidirect
29. C4×C4⋊C4×D13C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2560C2semidirect
35. C2×C13×#126C22semidirect
36. C2×C13×C22⋊Q8C22semidirect
37. C2×#88200C22semidirect
38. C2×#88178C22semidirect
41. C2×#88152C22semidirect
42. C2×#88152C22semidirect
43. C2×#88152C22semidirect
44. C2×#88151C22semidirect
45. C2×#88150C22semidirect
46. C2×#88150C22semidirect
65. C2×#88133C22semidirect
66. C2×#88133C22semidirect
67. C2×#88133C22semidirect
68. C2×#88132C22semidirect
69. C2×#88132C22semidirect
70. C2×#88130C22semidirect
75. C13×#398C22semidirect
76. C13×#397C22semidirect
78. C13×#393C22semidirect
79. C13×#391C22semidirect
81. C13×#388C22semidirect
82. C13×#388C22semidirect
83. C13×#388C22semidirect
84. C13×#387C22semidirect
86. C4×C13×C4⋊C4C22semidirect
87. C4×C13×C22⋊C4C22semidirect
88. #11718892C22semidirect
89. #11718891C22semidirect
94. C4×C22⋊Dic13C22semidirect
95. #11718654C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718651C22semidirect
101. #11718645C22semidirect
102. #11718645C22semidirect
103. #11718644C22semidirect
104. #11718642C22semidirect
105. #11718641C22semidirect
106. #11718639C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718635C22semidirect
121. #11718614C22semidirect
122. #11718613C22semidirect
123. #11718613C22semidirect
124. #11718612C22semidirect
125. #11718612C22semidirect
126. #11718612C22semidirect
127. #11718608C22semidirect
128. #11718608C22semidirect
129. #11718608C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. C22⋊C4×Dic13C22semidirect
137. C22⋊C4×Dic13C22semidirect
138. #11718601C22semidirect
139. #11718601C22semidirect
140. #11718601C22semidirect
142. C4×#6103C22semidirect
143. C4×#6103C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. #11718594C22semidirect
146. C4×#6101C22semidirect
147. C4×#6101C22semidirect
148. #11718590C22semidirect
149. #11718336C22semidirect
150. #11718336C22semidirect
151. #11718335C22semidirect
152. #11718334C22semidirect
153. #11718334C22semidirect
154. #11718334C22semidirect
156. #11718331C22semidirect
157. #11718331C22semidirect
158. #11718331C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
161. #11718330C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
176. #11718322C22semidirect
177. #11718318C22semidirect
178. #11718318C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718313C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
329. C4⋊C4×D13D4semidirect
521. C13×C4⋊C4C2×D4semidirect
576. C4⋊Dic13C2×D4semidirect
589. #6101C2×D4semidirect
590. #6101C2×D4semidirect
620. #2560D13direct (N × H)
798. C2×#126C2×D13semidirect
807. C2×C22⋊Q8C2×D13semidirect
837. #398C2×D13semidirect
845. #397C2×D13semidirect
861. #393C2×D13semidirect
869. #391C2×D13semidirect
899. #388C2×D13semidirect
900. #388C2×D13semidirect
901. #388C2×D13semidirect
909. #387C2×D13semidirect
925. C4×C4⋊C4C2×D13semidirect
933. C4×C22⋊C4C2×D13semidirect
1227. D13#2560direct (N × H)
1378. C4⋊C4D4×D13semidirect
1439. C13C2×#2560semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1262
C2×D13×C22⋊Q82
#131199872
#131199862
#131199852
#131199842
#131199832
#131199822
#131199812
#131199802
#131199792
#131199782
#131199772
#131199762
#131199752
#131199742
#131199732
D13×#3982
D13×#3972
D13×#3942
D13×#3932
D13×#3912
D13×#3902
D13×#3882
D13×#3872
D13×#3862
C4×C4⋊C4×D132
C4×C22⋊C4×D132
C13×#25602
C2×#256013