Finite Group Databasebeta

← D13×#2648 #16029374

Subgroups — D13×#2648 #16029374

Order 3328.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120831C211yesmaximal, characteristic, complemented
2#13120830C211yesmaximal, characteristic, complemented
3#13120829C211yesmaximal, characteristic, complemented
4#13120828C211yesmaximal, characteristic, complemented
5#13120827C211yesmaximal, characteristic, complemented
6#13120826C211yesmaximal, characteristic, complemented
7#13120825C211yesmaximal, characteristic, complemented
8#13120824C211yesmaximal, characteristic, complemented
9#13120823C211yesmaximal, characteristic, complemented
10#13120822C211yesmaximal, characteristic, complemented
11#13120821C211yesmaximal, characteristic, complemented
12#13120820C211yesmaximal, characteristic, complemented
13#13120819C211yesmaximal, characteristic, complemented
14#13120818C211yesmaximal, characteristic, complemented
15#13120817C211yesmaximal, characteristic, complemented
16D13×#400C211yesmaximal, characteristic, complemented
17D13×#397C211yesmaximal, characteristic, complemented
18D13×#397C211yesmaximal, characteristic, complemented
19D13×#396C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic, complemented
21D13×#394C211yesmaximal, characteristic, complemented
22D13×#394C211yesmaximal, characteristic, complemented
23D13×#392C211yesmaximal, characteristic
24D13×#390C211yesmaximal, characteristic, complemented
25D13×#388C211yesmaximal, characteristic, complemented
26D13×#388C211yesmaximal, characteristic, complemented
27D13×#387C211yesmaximal, characteristic, complemented
28D13×#386C211yesmaximal, characteristic, complemented
29D13×#386C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C2×C4⋊C4×D13C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×C4⋊C4×D13C2211yescharacteristic
39C2×C4⋊C4×D13C2211yescharacteristic
40C2×C4⋊C4×D13C2211yescharacteristic
41C2×C22⋊C4×D13C2211yescharacteristic
42C2×C22⋊C4×D13C2211yescharacteristic
43C2×C22⋊C4×D13C2211yescharacteristic
44C2×C22⋊C4×D13C2211yescharacteristic
45C2×C22⋊C4×D13C2211yescharacteristic
46C2×C22⋊C4×D13C2211yescharacteristic
47C2×C22⋊C4×D13C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×C22⋊C4×D13C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic
57C13×#400C2211yescharacteristic, complemented
58C13×#397C2211yescharacteristic, complemented
59C13×#397C2211yescharacteristic, complemented
60C13×#396C2211yescharacteristic, complemented
61C13×#394C2211yescharacteristic, complemented
62C13×#394C2211yescharacteristic, complemented
63C13×#394C2211yescharacteristic, complemented
64C13×#392C2211yescharacteristic
65C13×#390C2211yescharacteristic, complemented
66C13×#388C2211yescharacteristic, complemented
67C13×#388C2211yescharacteristic, complemented
68C13×#387C2211yescharacteristic, complemented
69C13×#386C2211yescharacteristic, complemented
70C13×#386C2211yescharacteristic, complemented
71C4×C13×C22⋊C4C2211yescharacteristic, complemented
72#11718884C2211yescharacteristic
73#11718884C2211yescharacteristic
74#11718884C2211yescharacteristic
75#11718883C2211yescharacteristic, complemented
76#11718883C2211yescharacteristic, complemented
77#11718883C2211yescharacteristic, complemented
78#11718882C2211yescharacteristic, complemented
79#11718881C2211yescharacteristic, complemented
80#11718881C2211yescharacteristic, complemented
81#11718874C2211yescharacteristic, complemented
82#11718874C2211yescharacteristic, complemented
83C4×C22⋊Dic13C2211yescharacteristic, complemented
84#11718655C2211yescharacteristic, complemented
85#11718655C2211yescharacteristic, complemented
86#11718655C2211yescharacteristic, complemented
87#11718654C2211yescharacteristic, complemented
88#11718654C2211yescharacteristic, complemented
89#11718652C2211yescharacteristic, complemented
90#11718652C2211yescharacteristic, complemented
91#11718652C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic, complemented
93#11718651C2211yescharacteristic, complemented
94#11718649C2211yescharacteristic, complemented
95#11718647C2211yescharacteristic, complemented
96#11718643C2211yescharacteristic, complemented
97#11718642C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718622C2211yescharacteristic, complemented
100#11718622C2211yescharacteristic, complemented
101#11718622C2211yescharacteristic, complemented
102#11718622C2211yescharacteristic, complemented
103#11718622C2211yescharacteristic, complemented
104#11718622C2211yescharacteristic, complemented
105#11718621C2211yescharacteristic
106#11718621C2211yescharacteristic
107#11718621C2211yescharacteristic
108#11718620C2211yescharacteristic, complemented
109#11718620C2211yescharacteristic, complemented
110#11718620C2211yescharacteristic, complemented
111#11718620C2211yescharacteristic, complemented
112#11718620C2211yescharacteristic, complemented
113#11718620C2211yescharacteristic, complemented
114#11718619C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic, complemented
116#11718618C2211yescharacteristic, complemented
117#11718618C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic, complemented
120#11718617C2211yescharacteristic, complemented
121#11718617C2211yescharacteristic, complemented
122#11718617C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic, complemented
124#11718614C2211yescharacteristic, complemented
125#11718614C2211yescharacteristic, complemented
126#11718613C2211yescharacteristic, complemented
127#11718613C2211yescharacteristic, complemented
128#11718613C2211yescharacteristic, complemented
129#11718613C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718612C2211yescharacteristic, complemented
132#11718609C2211yescharacteristic, complemented
133#11718609C2211yescharacteristic, complemented
134#11718609C2211yescharacteristic, complemented
135#11718606C2211yescharacteristic, complemented
136#11718606C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718605C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic, complemented
140C22⋊C4×Dic13C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718600C2211yescharacteristic, complemented
144C4×#6103C2211yescharacteristic, complemented
145C4×#6103C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718337C2211yescharacteristic, complemented
148#11718336C2211yescharacteristic, complemented
149#11718336C2211yescharacteristic, complemented
150#11718336C2211yescharacteristic, complemented
151#11718336C2211yescharacteristic, complemented
152#11718335C2211yescharacteristic, complemented
153#11718335C2211yescharacteristic, complemented
154#11718333C2211yescharacteristic, complemented
155#11718333C2211yescharacteristic, complemented
156#11718333C2211yescharacteristic, complemented
157#11718332C2211yescharacteristic
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic, complemented
165#11718326C2211yescharacteristic, complemented
166#11718326C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178#11718321C2211yescharacteristic, complemented
179#11718321C2211yescharacteristic, complemented
180#11718320C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C2×D4×D13—24no—
202C2×D4×D13—24no—
203C2×D4×D13—24no—
204C2×D4×D13—42no—
205C2×D4×D13—42no—
206C2×D4×D13—42no—
207C2×D4×D13—42no—
208C2×D4×D13—42no—
209C2×D4×D13—42no—
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×C4×D13—24no—
214C22×C4×D13—42no—
215C22×C4×D13—42no—
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
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×#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×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C4⋊C4×D13—24no—
315C4⋊C4×D13—42no—
316C4⋊C4×D13—42no—
317C4⋊C4×D13—42no—
318C4⋊C4×D13—42no—
319C22⋊C4×D13—24no—
320C22⋊C4×D13—24no—
321C22⋊C4×D13—24no—
322C22⋊C4×D13—24no—
323C22⋊C4×D13—42no—
324C22⋊C4×D13—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13—42no—
328C22⋊C4×D13—42no—
329C22⋊C4×D13—42no—
330C22⋊C4×D13—42no—
331C22⋊C4×D13—42no—
332C22⋊C4×D13—42no—
333C42×D13—42no—
334C42×D13—42no—
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375C2×#2648—131nomaximal, Sylow
376C24×C13C2411yescharacteristic
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C23×D13—22no—
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—22no—
384C23×D13—22no—
385C23×D13—22no—
386C23×D13—22no—
387C23×D13—22no—
388C23×D13—22no—
389C23×D13—22no—
390C23×D13—22no—
391C23×D13—22no—
392C23×D13—22no—
393C23×D13—22no—
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13#4114yes—
400C23×D13C2411yescharacteristic
401C23×D13C2411yescharacteristic
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C2×D4×C13—22no—
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—41no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C22×C4×C13—22no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C22×Dic13—22no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461D4×D13—416no—
462D4×D13—416no—
463D4×D13—416no—
464C2×D52—22no—
465C2×D52—22no—
466C2×D52—22no—
467C2×D52—41no—
468C2×D52—41no—
469C2×D52—41no—
470C2×D52—41no—
471C2×D52—41no—
472C2×D52—41no—
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—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—416no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13#4114yes—
515C2×C4×D13#4114yes—
516C13×C4⋊C4—22no—
517C13×C4⋊C4—41no—
518C13×C4⋊C4—41no—
519C13×C4⋊C4—41no—
520C13×C4⋊C4—41no—
521C13×C22⋊C4—22no—
522C13×C22⋊C4—22no—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4—41no—
526C13×C22⋊C4—41no—
527C13×C22⋊C4—41no—
528C13×C22⋊C4—41no—
529C13×C22⋊C4—41no—
530C13×C22⋊C4—41no—
531C13×C22⋊C4—41no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C42×C13—41no—
536C42×C13—41no—
537C22⋊Dic13—22no—
538C22⋊Dic13—22no—
539C22⋊Dic13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—41no—
542C22⋊Dic13—41no—
543C22⋊Dic13—41no—
544C22⋊Dic13—41no—
545C22⋊Dic13—41no—
546C22⋊Dic13—41no—
547C22⋊Dic13—41no—
548C22⋊Dic13—41no—
549C22⋊Dic13—41no—
550C22⋊Dic13—41no—
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—41no—
560#6103—41no—
561#6103—41no—
562#6103—41no—
563#6103—41no—
564#6103—41no—
565#6103—41no—
566#6103—41no—
567#6103—41no—
568#6103—41no—
569#6103—41no—
570#6103—41no—
571#6103—41no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579C4⋊Dic13—22no—
580C4⋊Dic13—41no—
581C4⋊Dic13—41no—
582C4⋊Dic13—41no—
583C4⋊Dic13—41no—
584#6101—22no—
585#6101—22no—
586#6101—41no—
587#6101—41no—
588#6101—41no—
589#6101—41no—
590#6101—41no—
591#6101—41no—
592#6101—41no—
593#6101—41no—
594C4×Dic13—41no—
595C4×Dic13—41no—
596C4×Dic13—41no—
597C4×Dic13—41no—
598C4×Dic13—41no—
599C4×Dic13—41no—
600#2648—131no—
601#2648—131no—
602#2648—131no—
603#2648—131no—
604#2648—131no—
605#2648—131no—
606#2648—131no—
607#2648—131no—
608#2648—131no—
609#2648—131no—
610#2648—131no—
611#2648—131no—
612#2648—131no—
613#2648—131no—
614#2648—131no—
615#2648D1311yescharacteristic, direct product factor
616C2×#400—131no—
617C2×#397—131no—
618C2×#397—131no—
619C2×#396—131no—
620C2×#394—131no—
621C2×#394—131no—
622C2×#394—131no—
623C2×#392—131no—
624C2×#390—131no—
625C2×#388—131no—
626C2×#388—131no—
627C2×#387—131no—
628C2×#386—131no—
629C2×#386—131no—
630C2×C4×C22⋊C4—131no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
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×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13C2×#4112yes—
652C23×C13C2511yescharacteristic
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—28no—
660C22×D13—28no—
661C22×D13—28no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—44no—
677C22×D13—44no—
678C22×D13—44no—
679C22×D13—44no—
680C22×D13—44no—
681C22×D13—44no—
682C22×D13—44no—
683C22×D13—44no—
684C22×D13—44no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13C2×#4112yes—
695C22×D13C2×#4112yes—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13H(5,𝔽2)12yes—
699C22×D13H(5,𝔽2)12yes—
700C22×D13H(5,𝔽2)12yes—
701C22×D13H(5,𝔽2)12yes—
702D4×C13—44no—
703D4×C13—44no—
704D4×C13—44no—
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—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—44no—
740C2×C4×C13C2×#4112yes—
741C2×C4×C13C2×#4112yes—
742C22⋊D13—44no—
743C22⋊D13—44no—
744C22⋊D13—44no—
745C22⋊D13—44no—
746C22⋊D13—44no—
747C22⋊D13—44no—
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—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—44no—
783C2×Dic13C2×#4112yes—
784C2×Dic13C2×#4112yes—
785D52—44no—
786D52—44no—
787D52—44no—
788C4×D13—28no—
789C4×D13—28no—
790C4×D13—44no—
791C4×D13—44no—
792C4×D13—44no—
793C4×D13—44no—
794C4×D13—44no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C23×D4—131no—
803C23×D4—131no—
804C23×D4—131no—
805C24×C4—131no—
806C22×C4⋊C4—131no—
807C22×C4⋊C4—131no—
808C22×C4⋊C4—131no—
809C22×C4⋊C4—131no—
810C22×C4⋊C4—131no—
811C22×C22⋊C4—131no—
812C22×C22⋊C4—131no—
813C22×C22⋊C4—131no—
814C22×C22⋊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×C42—131no—
826C22×C42—131no—
827#400—131no—
828#400—131no—
829#400—131no—
830#400—131no—
831#400—131no—
832#400—131no—
833#400—131no—
834#400C2×D1311yescharacteristic, complemented
835#397—131no—
836#397—131no—
837#397—131no—
838#397—131no—
839#397—131no—
840#397—131no—
841#397—131no—
842#397—131no—
843#397—131no—
844#397—131no—
845#397—131no—
846#397—131no—
847#397—131no—
848#397—131no—
849#397C2×D1311yescharacteristic, complemented
850#397C2×D1311yescharacteristic, complemented
851#396—131no—
852#396—131no—
853#396—131no—
854#396—131no—
855#396—131no—
856#396—131no—
857#396—131no—
858#396C2×D1311yescharacteristic, complemented
859#394—131no—
860#394—131no—
861#394—131no—
862#394—131no—
863#394—131no—
864#394—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#394—131no—
877#394—131no—
878#394—131no—
879#394—131no—
880#394C2×D1311yescharacteristic, complemented
881#394C2×D1311yescharacteristic, complemented
882#394C2×D1311yescharacteristic, complemented
883#392—131no—
884#392—131no—
885#392—131no—
886#392—131no—
887#392—131no—
888#392—131no—
889#392—131no—
890#392C2×D1311yescharacteristic
891#390—131no—
892#390—131no—
893#390—131no—
894#390—131no—
895#390—131no—
896#390—131no—
897#390—131no—
898#390C2×D1311yescharacteristic, complemented
899#388—131no—
900#388—131no—
901#388—131no—
902#388—131no—
903#388—131no—
904#388—131no—
905#388—131no—
906#388—131no—
907#388—131no—
908#388—131no—
909#388—131no—
910#388—131no—
911#388—131no—
912#388—131no—
913#388C2×D1311yescharacteristic, complemented
914#388C2×D1311yescharacteristic, complemented
915#387—131no—
916#387—131no—
917#387—131no—
918#387—131no—
919#387—131no—
920#387—131no—
921#387—131no—
922#387C2×D1311yescharacteristic, complemented
923#386—131no—
924#386—131no—
925#386—131no—
926#386—131no—
927#386—131no—
928#386—131no—
929#386—131no—
930#386—131no—
931#386—131no—
932#386—131no—
933#386—131no—
934#386—131no—
935#386—131no—
936#386—131no—
937#386C2×D1311yescharacteristic, complemented
938#386C2×D1311yescharacteristic, complemented
939C4×C22⋊C4—131no—
940C4×C22⋊C4—131no—
941C4×C22⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4C2×D1311yescharacteristic, complemented
947C2×#95—131no—
948C2×#95—131no—
949C2×#95—131no—
950C2×#95—131no—
951C2×#95—131no—
952C2×#95—131no—
953C2×#95—131no—
954C2×#95—131no—
955C2×#95—131no—
956C2×#95—131no—
957C22×C13—22no—
958C22×C13—22no—
959C22×C13—22no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13C22×#4111yescharacteristic
979C22×C13C22×#4111yescharacteristic
980C22×C13C22×#4111yescharacteristic
981C22×C13C2×H(5,𝔽2)11yescharacteristic
982C22×C13C2×H(5,𝔽2)11yescharacteristic
983C22×C13C2×H(5,𝔽2)11yescharacteristic
984C22×C13C2×H(5,𝔽2)11yescharacteristic
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—41no—
989C2×D13—41no—
990C2×D13—41no—
991C2×D13—41no—
992C2×D13—416no—
993C2×D13—41no—
994C2×D13—41no—
995C2×D13—41no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—88no—
1008C2×D13—88no—
1009C2×D13#52914yes—
1010C2×D13#53814yes—
1011C2×D13#53814yes—
1012C2×D13#53814yes—
1013C2×D13#53814yes—
1014C2×D13#54014yes—
1015C2×D13#54014yes—
1016C4×C13—22no—
1017C4×C13—22no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025C4×C13—41no—
1026C4×C13—41no—
1027C4×C13—41no—
1028Dic13—22no—
1029Dic13—22no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037Dic13—41no—
1038Dic13—41no—
1039Dic13—41no—
1040C25—131no—
1041C25—131no—
1042C25—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4—131no—
1049C22×D4—131no—
1050C22×D4—131no—
1051C22×D4—131no—
1052C22×D4—264no—
1053C22×D4—264no—
1054C22×D4—264no—
1055C22×D4—522no—
1056C22×D4—522no—
1057C22×D4—522no—
1058C22×D4—522no—
1059C22×D4—522no—
1060C22×D4—522no—
1061C22×D4C22×D1311yescharacteristic
1062C22×D4C22×D1311yescharacteristic
1063C22×D4C22×D1311yescharacteristic
1064C23×C4—131no—
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—264no—
1080C23×C4—522no—
1081C23×C4—522no—
1082C23×C4C22×D1311yescharacteristic
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—131no—
1095C2×C4⋊C4—131no—
1096C2×C4⋊C4—131no—
1097C2×C4⋊C4—131no—
1098C2×C4⋊C4—264no—
1099C2×C4⋊C4—522no—
1100C2×C4⋊C4—522no—
1101C2×C4⋊C4—522no—
1102C2×C4⋊C4—522no—
1103C2×C4⋊C4C22×D1311yescharacteristic
1104C2×C4⋊C4C22×D1311yescharacteristic
1105C2×C4⋊C4C22×D1311yescharacteristic
1106C2×C4⋊C4C22×D1311yescharacteristic
1107C2×C4⋊C4C22×D1311yescharacteristic
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—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—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—264no—
1151C2×C22⋊C4—264no—
1152C2×C22⋊C4—264no—
1153C2×C22⋊C4—264no—
1154C2×C22⋊C4—522no—
1155C2×C22⋊C4—522no—
1156C2×C22⋊C4—522no—
1157C2×C22⋊C4—522no—
1158C2×C22⋊C4—522no—
1159C2×C22⋊C4—522no—
1160C2×C22⋊C4—522no—
1161C2×C22⋊C4—522no—
1162C2×C22⋊C4—522no—
1163C2×C22⋊C4—522no—
1164C2×C22⋊C4C22×D1311yescharacteristic
1165C2×C22⋊C4C22×D1311yescharacteristic
1166C2×C22⋊C4C22×D1311yescharacteristic
1167C2×C22⋊C4C22×D1311yescharacteristic
1168C2×C22⋊C4C22×D1311yescharacteristic
1169C2×C22⋊C4C22×D1311yescharacteristic
1170C2×C22⋊C4C22×D1311yescharacteristic
1171C2×C22⋊C4C22×D1311yescharacteristic
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C42—131no—
1179C2×C42—131no—
1180C2×C42—131no—
1181C2×C42—131no—
1182C2×C42—131no—
1183C2×C42—131no—
1184C2×C42—522no—
1185C2×C42—522no—
1186C2×C42C22×D1311yescharacteristic
1187C2×C42C22×D1311yescharacteristic
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#95—131no—
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#95C22×D1311yescharacteristic
1219#95C22×D1311yescharacteristic
1220#95C22×D1311yescharacteristic
1221#95C22×D1311yescharacteristic
1222#95C22×D1311yescharacteristic
1223#95C22×D1311yescharacteristic
1224#95C22×D1311yescharacteristic
1225#95C22×D1311yescharacteristic
1226#95C22×D1311yescharacteristic
1227#95C22×D1311yescharacteristic
1228C2×C13—42no—
1229C2×C13—81no—
1230C2×C13—81no—
1231C2×C13C2×#52911yescharacteristic
1232C2×C13C2×#53811yescharacteristic
1233C2×C13C2×#53811yescharacteristic
1234C2×C13C2×#53811yescharacteristic
1235C2×C13C2×#53811yescharacteristic
1236C2×C13C2×#54011yescharacteristic
1237C2×C13C2×#54011yescharacteristic
1238D13—42no—
1239D13—81no—
1240D13—81no—
1241D13#264818yesdirect product factor
1242C24—131no—
1243C24—134no—
1244C24—131no—
1245C24—131no—
1246C24—131no—
1247C24—262no—
1248C24—262no—
1249C24—262no—
1250C24—262no—
1251C24—262no—
1252C24—262no—
1253C24—262no—
1254C24—262no—
1255C24—262no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—262no—
1267C24C23×D1311yescharacteristic
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—262no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—521no—
1289C2×D4—521no—
1290C2×D4—521no—
1291C2×D4—521no—
1292C2×D4—521no—
1293C2×D4—521no—
1294C2×D4—5216no—
1295C2×D4—521no—
1296C2×D4—521no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4—521no—
1303C2×D4—521no—
1304C2×D4—521no—
1305C2×D4—521no—
1306C2×D4—521no—
1307C2×D4—5216no—
1308C2×D4—5216no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—131no—
1313C22×C4—131no—
1314C22×C4—134no—
1315C22×C4—134no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
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—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
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—521no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—5216no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4C23×D1311yescharacteristic
1371C22×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—521no—
1391C4⋊C4—521no—
1392C4⋊C4—521no—
1393C4⋊C4—521no—
1394C4⋊C4—521no—
1395C4⋊C4—521no—
1396C4⋊C4—521no—
1397C4⋊C4—521no—
1398C4⋊C4—521no—
1399C4⋊C4—521no—
1400C4⋊C4—521no—
1401C4⋊C4—521no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—262no—
1417C22⋊C4—262no—
1418C22⋊C4—262no—
1419C22⋊C4—262no—
1420C22⋊C4—262no—
1421C22⋊C4—262no—
1422C22⋊C4—262no—
1423C22⋊C4—262no—
1424C22⋊C4—262no—
1425C22⋊C4—262no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—521no—
1429C22⋊C4—521no—
1430C22⋊C4—521no—
1431C22⋊C4—521no—
1432C22⋊C4—521no—
1433C22⋊C4—521no—
1434C22⋊C4—521no—
1435C22⋊C4—521no—
1436C22⋊C4—521no—
1437C22⋊C4—521no—
1438C22⋊C4—521no—
1439C22⋊C4—521no—
1440C22⋊C4—521no—
1441C22⋊C4—521no—
1442C22⋊C4—521no—
1443C22⋊C4—521no—
1444C22⋊C4—521no—
1445C22⋊C4—521no—
1446C22⋊C4—521no—
1447C22⋊C4—521no—
1448C22⋊C4—521no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C42—41no—
1459C42—41no—
1460C42—521no—
1461C42—521no—
1462C42—521no—
1463C42—521no—
1464C42—521no—
1465C42—521no—
1466C13C2×#264811yescharacteristic, complemented, Sylow
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—132no—
1488C23—132no—
1489C23—132no—
1490C23—132no—
1491C23—132no—
1492C23—132no—
1493C23—132no—
1494C23—132no—
1495C23—268no—
1496C23—268no—
1497C23—268no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23—524no—
1527C23—524no—
1528C23—524no—
1529C23—524no—
1530C23—524no—
1531C23—524no—
1532C23—524no—
1533C23—524no—
1534C23—524no—
1535C23—524no—
1536C23#41×D1312yes—
1537C23C24×D1311yescharacteristic
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—524no—
1542D4—524no—
1543D4—524no—
1544D4—524no—
1545D4—524no—
1546D4—524no—
1547D4—524no—
1548D4—524no—
1549D4—524no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
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—44no—
1585C2×C4—132no—
1586C2×C4—132no—
1587C2×C4—268no—
1588C2×C4—268no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
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—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—524no—
1629C2×C4—524no—
1630C2×C4—524no—
1631C2×C4—524no—
1632C2×C4—524no—
1633C2×C4—524no—
1634C2×C4—524no—
1635C2×C4—524no—
1636C2×C4#41×D1312yes—
1637C2×C4#41×D1312yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—134no—
1660C22—134no—
1661C22—134no—
1662C22—134no—
1663C22—134no—
1664C22—134no—
1665C22—134no—
1666C22—262no—
1667C22—262no—
1668C22—262no—
1669C22—5216no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22—521no—
1678C22—521no—
1679C22—521no—
1680C22—521no—
1681C22—521no—
1682C22—521no—
1683C22—521no—
1684C22—521no—
1685C22—521no—
1686C22—521no—
1687C22—521no—
1688C22—1048no—
1689C22—1048no—
1690C22C2×#41×D1311yescharacteristic
1691C22C2×#41×D1311yescharacteristic
1692C22C2×#41×D1311yescharacteristic
1693C22D13×H(5,𝔽2)11yescharacteristic
1694C22D13×H(5,𝔽2)11yescharacteristic
1695C22D13×H(5,𝔽2)11yescharacteristic
1696C22D13×H(5,𝔽2)11yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—262no—
1710C4—262no—
1711C4—521no—
1712C4—521no—
1713C4—521no—
1714C4—521no—
1715C4—521no—
1716C4—521no—
1717C4—521no—
1718C4—521no—
1719C4—521no—
1720C4—521no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—138no—
1725C2—522no—
1726C2—1041no—
1727C2—1041no—
1728C2D13×#52911yescharacteristic
1729C2D13×#53811yescharacteristic
1730C2D13×#53811yescharacteristic
1731C2D13×#53811yescharacteristic
1732C2D13×#53811yescharacteristic
1733C2D13×#54011yescharacteristic
1734C2D13×#54011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2648C2
prime radicalD13×#392C2
hypercenter#2648D13
hypocenterC13C2×#2648
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #13120831C2semidirect
2. #13120830C2semidirect
3. #13120829C2semidirect
4. #13120828C2semidirect
5. #13120827C2semidirect
6. #13120826C2semidirect
7. #13120825C2semidirect
8. #13120824C2semidirect
9. #13120823C2semidirect
10. #13120822C2semidirect
11. #13120821C2semidirect
12. #13120820C2semidirect
13. #13120819C2semidirect
14. #13120818C2semidirect
15. #13120817C2semidirect
16. D13×#400C2semidirect
17. D13×#397C2semidirect
18. D13×#397C2semidirect
19. D13×#396C2semidirect
20. D13×#394C2semidirect
21. D13×#394C2semidirect
22. D13×#394C2semidirect
24. D13×#390C2semidirect
25. D13×#388C2semidirect
26. D13×#388C2semidirect
27. D13×#387C2semidirect
28. D13×#386C2semidirect
29. D13×#386C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2648C2semidirect
57. C13×#400C22semidirect
58. C13×#397C22semidirect
59. C13×#397C22semidirect
60. C13×#396C22semidirect
61. C13×#394C22semidirect
62. C13×#394C22semidirect
63. C13×#394C22semidirect
65. C13×#390C22semidirect
66. C13×#388C22semidirect
67. C13×#388C22semidirect
68. C13×#387C22semidirect
69. C13×#386C22semidirect
70. C13×#386C22semidirect
71. C4×C13×C22⋊C4C22semidirect
75. #11718883C22semidirect
76. #11718883C22semidirect
77. #11718883C22semidirect
78. #11718882C22semidirect
79. #11718881C22semidirect
80. #11718881C22semidirect
81. #11718874C22semidirect
82. #11718874C22semidirect
83. C4×C22⋊Dic13C22semidirect
84. #11718655C22semidirect
85. #11718655C22semidirect
86. #11718655C22semidirect
87. #11718654C22semidirect
88. #11718654C22semidirect
89. #11718652C22semidirect
90. #11718652C22semidirect
91. #11718652C22semidirect
92. #11718651C22semidirect
93. #11718651C22semidirect
94. #11718649C22semidirect
95. #11718647C22semidirect
96. #11718643C22semidirect
97. #11718642C22semidirect
98. #11718639C22semidirect
99. #11718622C22semidirect
100. #11718622C22semidirect
101. #11718622C22semidirect
102. #11718622C22semidirect
103. #11718622C22semidirect
104. #11718622C22semidirect
108. #11718620C22semidirect
109. #11718620C22semidirect
110. #11718620C22semidirect
111. #11718620C22semidirect
112. #11718620C22semidirect
113. #11718620C22semidirect
114. #11718619C22semidirect
115. #11718619C22semidirect
116. #11718618C22semidirect
117. #11718618C22semidirect
118. #11718618C22semidirect
119. #11718618C22semidirect
120. #11718617C22semidirect
121. #11718617C22semidirect
122. #11718617C22semidirect
123. #11718617C22semidirect
124. #11718614C22semidirect
125. #11718614C22semidirect
126. #11718613C22semidirect
127. #11718613C22semidirect
128. #11718613C22semidirect
129. #11718613C22semidirect
130. #11718612C22semidirect
131. #11718612C22semidirect
132. #11718609C22semidirect
133. #11718609C22semidirect
134. #11718609C22semidirect
135. #11718606C22semidirect
136. #11718606C22semidirect
137. #11718605C22semidirect
138. #11718605C22semidirect
139. C22⋊C4×Dic13C22semidirect
140. C22⋊C4×Dic13C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
143. #11718600C22semidirect
144. C4×#6103C22semidirect
145. C4×#6103C22semidirect
146. #11718594C22semidirect
147. #11718337C22semidirect
148. #11718336C22semidirect
149. #11718336C22semidirect
150. #11718336C22semidirect
151. #11718336C22semidirect
152. #11718335C22semidirect
153. #11718335C22semidirect
154. #11718333C22semidirect
155. #11718333C22semidirect
156. #11718333C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718330C22semidirect
161. #11718330C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
164. #11718326C22semidirect
165. #11718326C22semidirect
166. #11718326C22semidirect
167. #11718326C22semidirect
178. #11718321C22semidirect
179. #11718321C22semidirect
180. #11718320C22semidirect
181. #11718319C22semidirect
182. #11718319C22semidirect
183. #11718316C22semidirect
184. #11718315C22semidirect
185. #11718314C22semidirect
186. #11718313C22semidirect
615. #2648D13direct (N × H)
834. #400C2×D13semidirect
849. #397C2×D13semidirect
850. #397C2×D13semidirect
858. #396C2×D13semidirect
880. #394C2×D13semidirect
881. #394C2×D13semidirect
882. #394C2×D13semidirect
898. #390C2×D13semidirect
913. #388C2×D13semidirect
914. #388C2×D13semidirect
922. #387C2×D13semidirect
937. #386C2×D13semidirect
938. #386C2×D13semidirect
946. C4×C22⋊C4C2×D13semidirect
1241. D13#2648direct (N × H)
1466. C13C2×#2648semidirect

Maximal subgroups

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

subgroupindex
#131208312
#131208302
#131208292
#131208282
#131208272
#131208262
#131208252
#131208242
#131208232
#131208222
#131208212
#131208202
#131208192
#131208182
#131208172
D13×#4002
D13×#3972
D13×#3962
D13×#3942
D13×#3922
D13×#3902
D13×#3882
D13×#3872
D13×#3862
C4×C22⋊C4×D132
C13×#26482
C2×#264813