Finite Group Databasebeta

← D13×#2460 #16030569

Subgroups — D13×#2460 #16030569

Order 3328.

3006 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×#125C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic
3#13118795C211yesmaximal, characteristic, complemented
4#13118794C211yesmaximal, characteristic, complemented
5#13118793C211yesmaximal, characteristic, complemented
6#13118792C211yesmaximal, characteristic, complemented
7#13118791C211yesmaximal, characteristic, complemented
8#13118790C211yesmaximal, characteristic, complemented
9#13118789C211yesmaximal, characteristic, complemented
10#13118788C211yesmaximal, characteristic, complemented
11#13118787C211yesmaximal, characteristic, complemented
12#13118786C211yesmaximal, characteristic, complemented
13#13118785C211yesmaximal, characteristic, complemented
14#13118784C211yesmaximal, characteristic, complemented
15#13118783C211yesmaximal, characteristic, complemented
16#13118782C211yesmaximal, characteristic, complemented
17#13118781C211yesmaximal, characteristic, complemented
18D13×#397C211yesmaximal, characteristic, complemented
19D13×#396C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic
21D13×#394C211yesmaximal, characteristic
22D13×#388C211yesmaximal, characteristic, complemented
23D13×#388C211yesmaximal, characteristic, complemented
24D13×#387C211yesmaximal, characteristic, complemented
25D13×#387C211yesmaximal, characteristic, complemented
26D13×#387C211yesmaximal, characteristic, complemented
27D13×#385C211yesmaximal, characteristic, complemented
28D13×#385C211yesmaximal, characteristic, complemented
29D13×#380C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2460C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#125C2211yescharacteristic, complemented
36C2×C4×D4×C13C2211yescharacteristic
37C2×D4×Dic13C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40D13×#125—28no—
41C4×D4×D13—28no—
42C2×#88147C2211yescharacteristic
43C2×C4⋊C4×D13C2211yescharacteristic
44C2×C4⋊C4×D13C2211yescharacteristic
45C2×C4⋊C4×D13C2211yescharacteristic
46C2×C4⋊C4×D13C2211yescharacteristic
47C2×C4⋊C4×D13C2211yescharacteristic
48C2×C4⋊C4×D13C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×#88144C2211yescharacteristic, complemented
53C2×#88144C2211yescharacteristic, complemented
54C2×#88143C2211yescharacteristic, complemented
55C2×#88143C2211yescharacteristic, complemented
56C2×#88143C2211yescharacteristic, complemented
57C2×#88143C2211yescharacteristic, complemented
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×C4×D52C2211yescharacteristic
71C2×C42×D13C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic
74C2×#88124C2211yescharacteristic, complemented
75C13×#397C2211yescharacteristic, complemented
76C13×#396C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic
78C13×#394C2211yescharacteristic
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#387C2211yescharacteristic, complemented
82C13×#387C2211yescharacteristic, complemented
83C13×#387C2211yescharacteristic, complemented
84C13×#385C2211yescharacteristic, complemented
85C13×#385C2211yescharacteristic, complemented
86C13×#380C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88#11718883C2211yescharacteristic
89#11718883C2211yescharacteristic
90#11718873C2211yescharacteristic, complemented
91#11718871C2211yescharacteristic, complemented
92#11718871C2211yescharacteristic, complemented
93C4×C22⋊Dic13C2211yescharacteristic, complemented
94#11718655C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic, complemented
98#11718652C2211yescharacteristic
99#11718652C2211yescharacteristic
100#11718651C2211yescharacteristic, complemented
101#11718651C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic, complemented
105#11718650C2211yescharacteristic, complemented
106#11718648C2211yescharacteristic, complemented
107#11718648C2211yescharacteristic, complemented
108#11718642C2211yescharacteristic, complemented
109#11718642C2211yescharacteristic, complemented
110#11718642C2211yescharacteristic, complemented
111#11718639C2211yescharacteristic, complemented
112#11718639C2211yescharacteristic, complemented
113#11718639C2211yescharacteristic, complemented
114#11718622C2211yescharacteristic
115#11718622C2211yescharacteristic
116#11718622C2211yescharacteristic
117#11718622C2211yescharacteristic
118#11718620C2211yescharacteristic
119#11718620C2211yescharacteristic
120#11718620C2211yescharacteristic
121#11718620C2211yescharacteristic
122#11718614C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718612C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718611C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic, complemented
129#11718609C2211yescharacteristic, complemented
130#11718609C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic, complemented
132#11718607C2211yescharacteristic, complemented
133#11718607C2211yescharacteristic, complemented
134#11718606C2211yescharacteristic, complemented
135#11718606C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718603C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic, complemented
140C22⋊C4×Dic13C2211yescharacteristic, complemented
141C22⋊C4×Dic13C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic, complemented
144C4×#6103C2211yescharacteristic, complemented
145C4×#6103C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718337C2211yescharacteristic, complemented
150#11718336C2211yescharacteristic, complemented
151#11718336C2211yescharacteristic, complemented
152#11718335C2211yescharacteristic, complemented
153#11718333C2211yescharacteristic
154#11718333C2211yescharacteristic
155#11718331C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic, complemented
157#11718330C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic, complemented
160#11718329C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic, complemented
163#11718328C2211yescharacteristic, complemented
164#11718328C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C2×D4×D13—24no—
199C2×D4×D13—24no—
200C2×D4×D13—24no—
201C22×D52C2311yescharacteristic
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×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×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C13×#125—24no—
226C4×D4×C13—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×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
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
259D4×Dic13—24no—
260C4×C22⋊D13—24no—
261C4×C22⋊D13—24no—
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×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
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×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88147—24no—
319C4⋊C4×D13—24no—
320C4⋊C4×D13—24no—
321C4⋊C4×D13—24no—
322C4⋊C4×D13—24no—
323C4⋊C4×D13—24no—
324C4⋊C4×D13—24no—
325C4⋊C4×D13—24no—
326C4⋊C4×D13—42no—
327C4⋊C4×D13D418yes—
328#88144—24no—
329#88144—24no—
330#88143—24no—
331#88143—24no—
332#88143—24no—
333#88143—24no—
334#88135—24no—
335#88135—24no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—24no—
340C22⋊C4×D13—24no—
341C22⋊C4×D13—24no—
342C22⋊C4×D13—24no—
343C22⋊C4×D13—24no—
344C22⋊C4×D13—42no—
345C22⋊C4×D13—42no—
346C4×D52—24no—
347C42×D13—24no—
348C42×D13—24no—
349C42×D13—42no—
350#88124—24no—
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×#2460—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#4114yes—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—41no—
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—22no—
438C2×C22⋊D13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458D4×D13—232no—
459C2×D52—22no—
460C2×D52—22no—
461C2×D52—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—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—416no—
505C2×C4×D13—416no—
506C2×C4×D13—41no—
507C2×C4×D13—41no—
508C2×C4×D13—41no—
509C2×C4×D13—41no—
510C2×C4×D13C2×D414yes—
511C2×C4×D13C2×D414yes—
512C2×C4×D13C2×D414yes—
513C2×C4×D13#4114yes—
514C2×C4×D13#4114yes—
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⋊C4—22no—
522C13×C4⋊C4—41no—
523C13×C4⋊C4C2×D414yes—
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—
533C13×C22⋊C4—41no—
534C42×C13—22no—
535C42×C13—22no—
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—41no—
546C22⋊Dic13—41no—
547#6103—22no—
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—41no—
564#6103—41no—
565#6103—41no—
566#6103—41no—
567C4⋊Dic13—22no—
568C4⋊Dic13—22no—
569C4⋊Dic13—22no—
570C4⋊Dic13—22no—
571C4⋊Dic13—22no—
572C4⋊Dic13—22no—
573C4⋊Dic13—22no—
574C4⋊Dic13—41no—
575C4⋊Dic13C2×D414yes—
576#6101—22no—
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#6101—22no—
590#6101—41no—
591#6101—41no—
592#6101C2×D414yes—
593#6101C2×D414yes—
594C4×Dic13—22no—
595C4×Dic13—22no—
596C4×Dic13—22no—
597C4×Dic13—22no—
598C4×Dic13—22no—
599C4×Dic13—22no—
600C4×Dic13—41no—
601C4×Dic13—41no—
602C4×Dic13—41no—
603C22×#125—131no—
604C22×C4×D4—131no—
605#2460—131no—
606#2460—131no—
607#2460—131no—
608#2460—131no—
609#2460—131no—
610#2460—131no—
611#2460—131no—
612#2460—131no—
613#2460—131no—
614#2460—131no—
615#2460—131no—
616#2460—131no—
617#2460—131no—
618#2460—131no—
619#2460—131no—
620#2460D1311yescharacteristic, direct product factor
621C2×#397—131no—
622C2×#396—131no—
623C2×#394—131no—
624C2×#394—131no—
625C2×#388—131no—
626C2×#388—131no—
627C2×#387—131no—
628C2×#387—131no—
629C2×#387—131no—
630C2×#385—131no—
631C2×#385—131no—
632C2×#380—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×C13C2×#4112yes—
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—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—28no—
662C22×D13—28no—
663C22×D13—28no—
664C22×D13—28no—
665C22×D13—28no—
666C22×D13—28no—
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×D13C22×D412yes—
676C22×D13C2×#4112yes—
677C22×D13C2×#4112yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13C2×#4112yes—
682C22×D13H(5,𝔽2)12yes—
683C22×D132−1+412yes—
684D4×C13—28no—
685C2×C4×C13—21no—
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×C13—44no—
721C2×C4×C13C22×D412yes—
722C2×C4×C13C22×D412yes—
723C2×C4×C13C22×D412yes—
724C2×C4×C13C2×#4112yes—
725C2×C4×C13C2×#4112yes—
726C22⋊D13—28no—
727C22⋊D13—28no—
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—21no—
762C2×Dic13—44no—
763C2×Dic13—44no—
764C2×Dic13C22×D412yes—
765C2×Dic13C22×D412yes—
766C2×Dic13C22×D412yes—
767C2×Dic13C2×#4112yes—
768C2×Dic13C2×#4112yes—
769D52—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—
784C4×D13—44no—
785C4×D13—44no—
786C4×D13—44no—
787C23×D4—131no—
788C24×C4—131no—
789C24×C4—131no—
790C2×#125—131no—
791C2×#125—131no—
792C2×#125—131no—
793C2×#125—131no—
794C2×#125—131no—
795C2×#125—131no—
796C2×#125—131no—
797C2×#125—268no—
798C2×#125C2×D1311yescharacteristic, complemented
799C2×C4×D4—131no—
800C2×C4×D4—131no—
801C2×C4×D4—131no—
802C2×C4×D4—131no—
803C2×C4×D4—131no—
804C2×C4×D4—131no—
805C2×C4×D4—131no—
806C2×C4×D4—268no—
807C2×C4×D4C2×D1311yescharacteristic
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×C4⋊C4—131no—
816C22×C4⋊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×C22⋊C4—131no—
827C22×C42—131no—
828C22×C42—131no—
829C22×C42—131no—
830#397—131no—
831#397—131no—
832#397—131no—
833#397—131no—
834#397—131no—
835#397—131no—
836#397—131no—
837#397C2×D1311yescharacteristic, complemented
838#396—131no—
839#396—131no—
840#396—131no—
841#396—131no—
842#396—131no—
843#396—131no—
844#396—131no—
845#396C2×D1311yescharacteristic, complemented
846#394—131no—
847#394—131no—
848#394—131no—
849#394—131no—
850#394—131no—
851#394—131no—
852#394—131no—
853#394—131no—
854#394—131no—
855#394—131no—
856#394—131no—
857#394—131no—
858#394—131no—
859#394—131no—
860#394C2×D1311yescharacteristic
861#394C2×D1311yescharacteristic
862#388—131no—
863#388—131no—
864#388—131no—
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#388C2×D1311yescharacteristic, complemented
877#388C2×D1311yescharacteristic, complemented
878#387—131no—
879#387—131no—
880#387—131no—
881#387—131no—
882#387—131no—
883#387—131no—
884#387—131no—
885#387—131no—
886#387—131no—
887#387—131no—
888#387—131no—
889#387—131no—
890#387—131no—
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#387C2×D1311yescharacteristic, complemented
900#387C2×D1311yescharacteristic, complemented
901#387C2×D1311yescharacteristic, complemented
902#385—131no—
903#385—131no—
904#385—131no—
905#385—131no—
906#385—131no—
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385C2×D1311yescharacteristic, complemented
917#385C2×D1311yescharacteristic, complemented
918#380—131no—
919#380—131no—
920#380—131no—
921#380—131no—
922#380—131no—
923#380—131no—
924#380—131no—
925#380C2×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—22no—
948C22×C13—22no—
949C22×C13—22no—
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—22no—
969C2×D13—22no—
970C2×D13—22no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—416no—
980C2×D13—416no—
981C2×D13#52514yes—
982C2×D13#52914yes—
983C2×D13#53914yes—
984C2×D13#54614yes—
985C2×D13#54814yes—
986C2×D13#55214yes—
987C2×D13#55314yes—
988C4×C13—22no—
989C4×C13—22no—
990C4×C13—22no—
991C4×C13—22no—
992C4×C13—22no—
993C4×C13—41no—
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—41no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014C25—131no—
1015C25—131no—
1016C22×D4—131no—
1017C22×D4—131no—
1018C22×D4—131no—
1019C22×D4—264no—
1020C22×D4—264no—
1021C22×D4—264no—
1022C22×D4C22×D1311yescharacteristic
1023C23×C4—131no—
1024C23×C4—131no—
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
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—264no—
1043C23×C4—264no—
1044C23×C4—264no—
1045C23×C4—264no—
1046C23×C4—522no—
1047C23×C4—522no—
1048C23×C4C22×D1311yescharacteristic
1049C23×C4C22×D1311yescharacteristic
1050#125—24no—
1051#125—264no—
1052#125—264no—
1053#125—264no—
1054#125—264no—
1055#125—264no—
1056#125—264no—
1057#125—264no—
1058C4×D4—24no—
1059C4×D4—264no—
1060C4×D4—264no—
1061C4×D4—264no—
1062C4×D4—264no—
1063C4×D4—264no—
1064C4×D4—264no—
1065C4×D4—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—131no—
1089C2×C4⋊C4—131no—
1090C2×C4⋊C4—131no—
1091C2×C4⋊C4—131no—
1092C2×C4⋊C4—131no—
1093C2×C4⋊C4—131no—
1094C2×C4⋊C4—264no—
1095C2×C4⋊C4—264no—
1096C2×C4⋊C4—264no—
1097C2×C4⋊C4—264no—
1098C2×C4⋊C4—264no—
1099C2×C4⋊C4—264no—
1100C2×C4⋊C4—264no—
1101C2×C4⋊C4—522no—
1102C2×C4⋊C4C22×D1311yescharacteristic
1103C2×C4⋊C4C22×D1311yescharacteristic
1104C2×C4⋊C4C22×D1311yescharacteristic
1105C2×C4⋊C4C22×D1311yescharacteristic
1106C2×C4⋊C4C22×D1311yescharacteristic
1107C2×C4⋊C4C22×D1311yescharacteristic
1108C2×C4⋊C4C22×D1311yescharacteristic
1109C2×C4⋊C4C22×D1311yescharacteristic
1110C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—264no—
1142C2×C22⋊C4—264no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—264no—
1145C2×C22⋊C4—264no—
1146C2×C22⋊C4—264no—
1147C2×C22⋊C4—264no—
1148C2×C22⋊C4—264no—
1149C2×C22⋊C4—522no—
1150C2×C22⋊C4—522no—
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C22⋊C4C22×D1311yescharacteristic
1156C2×C22⋊C4C22×D1311yescharacteristic
1157C2×C22⋊C4C22×D1311yescharacteristic
1158C2×C22⋊C4C22×D1311yescharacteristic
1159C2×C22⋊C4C22×D1311yescharacteristic
1160C2×C22⋊C4C22×D1311yescharacteristic
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—131no—
1169C2×C42—131no—
1170C2×C42—264no—
1171C2×C42—264no—
1172C2×C42—522no—
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—42no—
1218C2×C13C2×#52511yescharacteristic
1219C2×C13C2×#52911yescharacteristic
1220C2×C13C2×#53911yescharacteristic
1221C2×C13C2×#54611yescharacteristic
1222C2×C13C2×#54811yescharacteristic
1223C2×C13C2×#55211yescharacteristic
1224C2×C13C2×#55311yescharacteristic
1225D13—42no—
1226D13—42no—
1227D13#246018yesdirect product factor
1228C24—131no—
1229C24—134no—
1230C24—134no—
1231C24—131no—
1232C24—131no—
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×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—262no—
1251C2×D4—262no—
1252C2×D4—262no—
1253C2×D4—262no—
1254C2×D4—2632no—
1255C2×D4—262no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—262no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—131no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—131no—
1270C22×C4—131no—
1271C22×C4—134no—
1272C22×C4—134no—
1273C22×C4—134no—
1274C22×C4—134no—
1275C22×C4—134no—
1276C22×C4—131no—
1277C22×C4—131no—
1278C22×C4—131no—
1279C22×C4—131no—
1280C22×C4—131no—
1281C22×C4—131no—
1282C22×C4—131no—
1283C22×C4—131no—
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—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—521no—
1331C22×C4—521no—
1332C22×C4—521no—
1333C22×C4—521no—
1334C22×C4—5216no—
1335C22×C4—5216no—
1336C22×C4—521no—
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—22no—
1358C4⋊C4—41no—
1359C4⋊C4—134no—
1360C4⋊C4—134no—
1361C4⋊C4—134no—
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⋊C4—262no—
1379C4⋊C4—262no—
1380C4⋊C4—262no—
1381C4⋊C4—262no—
1382C4⋊C4—262no—
1383C4⋊C4—521no—
1384C4⋊C4—521no—
1385C4⋊C4—521no—
1386C4⋊C4D4×D1314yes—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
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—262no—
1421C22⋊C4—521no—
1422C22⋊C4—521no—
1423C22⋊C4—521no—
1424C22⋊C4—521no—
1425C22⋊C4—521no—
1426C22⋊C4—521no—
1427C42—22no—
1428C42—22no—
1429C42—41no—
1430C42—262no—
1431C42—262no—
1432C42—262no—
1433C42—262no—
1434C42—262no—
1435C42—262no—
1436C42—521no—
1437C42—521no—
1438C42—521no—
1439C13C2×#246011yescharacteristic, 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—132no—
1453C23—132no—
1454C23—132no—
1455C23—132no—
1456C23—132no—
1457C23—132no—
1458C23—132no—
1459C23—132no—
1460C23—132no—
1461C23—268no—
1462C23—268no—
1463C23—268no—
1464C23—268no—
1465C23—268no—
1466C23—268no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—261no—
1474C23—261no—
1475C23—261no—
1476C23—261no—
1477C23—261no—
1478C23—261no—
1479C23—524no—
1480C23—524no—
1481C23—524no—
1482C23—524no—
1483C23—524no—
1484C23—524no—
1485C23—524no—
1486C23—524no—
1487C23#41×D1312yes—
1488C23#41×D1312yes—
1489C23C24×D1311yescharacteristic
1490D4—28no—
1491D4—268no—
1492D4—268no—
1493D4—268no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
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—44no—
1529C2×C4—44no—
1530C2×C4—132no—
1531C2×C4—132no—
1532C2×C4—132no—
1533C2×C4—132no—
1534C2×C4—132no—
1535C2×C4—268no—
1536C2×C4—268no—
1537C2×C4—268no—
1538C2×C4—268no—
1539C2×C4—268no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
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—524no—
1575C2×C4—524no—
1576C2×C4—524no—
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×C4—524no—
1588C2×C4C2×D4×D1312yes—
1589C2×C4C2×D4×D1312yes—
1590C2×C4C2×D4×D1312yes—
1591C2×C4#41×D1312yes—
1592C2×C4#41×D1312yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
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—262no—
1618C22—262no—
1619C22—262no—
1620C22—5216no—
1621C22—5216no—
1622C22—521no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—521no—
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—41no—
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—521no—
1656C4—521no—
1657C4—521no—
1658C4—521no—
1659C4—521no—
1660C4—521no—
1661C4—521no—
1662C4—521no—
1663C2—42no—
1664C2—42no—
1665C2—138no—
1666C2—522no—
1667C2—522no—
1668C2D13×#52511yescharacteristic
1669C2D13×#52911yescharacteristic
1670C2D13×#53911yescharacteristic
1671C2D13×#54611yescharacteristic
1672C2D13×#54811yescharacteristic
1673C2D13×#55211yescharacteristic
1674C2D13×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2460C2
prime radicalC22×D4×D13C22
hypercenter#2460D13
hypocenterC13C2×#2460
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2460

Complements

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

NH ≅ G/Ntype
1. C2×D13×#125C2semidirect
3. #13118795C2semidirect
4. #13118794C2semidirect
5. #13118793C2semidirect
6. #13118792C2semidirect
7. #13118791C2semidirect
8. #13118790C2semidirect
9. #13118789C2semidirect
10. #13118788C2semidirect
11. #13118787C2semidirect
12. #13118786C2semidirect
13. #13118785C2semidirect
14. #13118784C2semidirect
15. #13118783C2semidirect
16. #13118782C2semidirect
17. #13118781C2semidirect
18. D13×#397C2semidirect
19. D13×#396C2semidirect
22. D13×#388C2semidirect
23. D13×#388C2semidirect
24. D13×#387C2semidirect
25. D13×#387C2semidirect
26. D13×#387C2semidirect
27. D13×#385C2semidirect
28. D13×#385C2semidirect
29. D13×#380C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2460C2semidirect
35. C2×C13×#125C22semidirect
52. C2×#88144C22semidirect
53. C2×#88144C22semidirect
54. C2×#88143C22semidirect
55. C2×#88143C22semidirect
56. C2×#88143C22semidirect
57. C2×#88143C22semidirect
74. C2×#88124C22semidirect
75. C13×#397C22semidirect
76. C13×#396C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#387C22semidirect
82. C13×#387C22semidirect
83. C13×#387C22semidirect
84. C13×#385C22semidirect
85. C13×#385C22semidirect
86. C13×#380C22semidirect
87. C4×C13×C22⋊C4C22semidirect
90. #11718873C22semidirect
91. #11718871C22semidirect
92. #11718871C22semidirect
93. C4×C22⋊Dic13C22semidirect
94. #11718655C22semidirect
95. #11718655C22semidirect
96. #11718655C22semidirect
97. #11718654C22semidirect
100. #11718651C22semidirect
101. #11718651C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718650C22semidirect
105. #11718650C22semidirect
106. #11718648C22semidirect
107. #11718648C22semidirect
108. #11718642C22semidirect
109. #11718642C22semidirect
110. #11718642C22semidirect
111. #11718639C22semidirect
112. #11718639C22semidirect
113. #11718639C22semidirect
122. #11718614C22semidirect
123. #11718613C22semidirect
124. #11718613C22semidirect
125. #11718612C22semidirect
126. #11718612C22semidirect
127. #11718611C22semidirect
128. #11718611C22semidirect
129. #11718609C22semidirect
130. #11718609C22semidirect
131. #11718609C22semidirect
132. #11718607C22semidirect
133. #11718607C22semidirect
134. #11718606C22semidirect
135. #11718606C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
138. #11718603C22semidirect
139. #11718603C22semidirect
140. C22⋊C4×Dic13C22semidirect
141. C22⋊C4×Dic13C22semidirect
142. #11718601C22semidirect
143. #11718601C22semidirect
144. C4×#6103C22semidirect
145. C4×#6103C22semidirect
146. #11718594C22semidirect
147. #11718594C22semidirect
148. #11718594C22semidirect
149. #11718337C22semidirect
150. #11718336C22semidirect
151. #11718336C22semidirect
152. #11718335C22semidirect
155. #11718331C22semidirect
156. #11718331C22semidirect
157. #11718330C22semidirect
158. #11718330C22semidirect
159. #11718329C22semidirect
160. #11718329C22semidirect
161. #11718329C22semidirect
162. #11718329C22semidirect
163. #11718328C22semidirect
164. #11718328C22semidirect
165. #11718327C22semidirect
166. #11718327C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718316C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718314C22semidirect
186. #11718313C22semidirect
187. #11718313C22semidirect
188. #11718313C22semidirect
620. #2460D13direct (N × H)
798. C2×#125C2×D13semidirect
837. #397C2×D13semidirect
845. #396C2×D13semidirect
876. #388C2×D13semidirect
877. #388C2×D13semidirect
899. #387C2×D13semidirect
900. #387C2×D13semidirect
901. #387C2×D13semidirect
916. #385C2×D13semidirect
917. #385C2×D13semidirect
925. #380C2×D13semidirect
933. C4×C22⋊C4C2×D13semidirect
1227. D13#2460direct (N × H)
1439. C13C2×#2460semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1252
C2×C4×D4×D132
#131187952
#131187942
#131187932
#131187922
#131187912
#131187902
#131187892
#131187882
#131187872
#131187862
#131187852
#131187842
#131187832
#131187822
#131187812
D13×#3972
D13×#3962
D13×#3942
D13×#3882
D13×#3872
D13×#3852
D13×#3802
C4×C22⋊C4×D132
C13×#24602
C2×#246013