Finite Group Databasebeta

← D13×#2473 #16030505

Subgroups — D13×#2473 #16030505

Order 3328.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#125C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D13C211yesmaximal, characteristic
3#13118984C211yesmaximal, characteristic, complemented
4#13118983C211yesmaximal, characteristic, complemented
5#13118982C211yesmaximal, characteristic, complemented
6#13118981C211yesmaximal, characteristic, complemented
7#13118980C211yesmaximal, characteristic, complemented
8#13118979C211yesmaximal, characteristic, complemented
9#13118978C211yesmaximal, characteristic, complemented
10#13118977C211yesmaximal, characteristic, complemented
11#13118976C211yesmaximal, characteristic, complemented
12#13118975C211yesmaximal, characteristic, complemented
13#13118974C211yesmaximal, characteristic, complemented
14#13118973C211yesmaximal, characteristic, complemented
15#13118972C211yesmaximal, characteristic, complemented
16#13118971C211yesmaximal, characteristic, complemented
17#13118970C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#398C211yesmaximal, characteristic, complemented
21D13×#398C211yesmaximal, characteristic, complemented
22D13×#389C211yesmaximal, characteristic, complemented
23D13×#387C211yesmaximal, characteristic, complemented
24D13×#387C211yesmaximal, characteristic, complemented
25D13×#385C211yesmaximal, characteristic
26D13×#385C211yesmaximal, characteristic
27D13×#385C211yesmaximal, characteristic
28D13×#385C211yesmaximal, characteristic
29D13×#380C211yesmaximal, characteristic
30C4×C22⋊C4×D13C211yesmaximal, characteristic
31C13×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#125C2211yescharacteristic, complemented
36C22×C13×C4⋊C4C2211yescharacteristic
37C22×C4⋊Dic13C2211yescharacteristic
38C22×#6101C2211yescharacteristic
39C22×#6101C2211yescharacteristic
40D13×#125—28no—
41C2×C4⋊C4×D13—28no—
42C2×C4⋊C4×D13C2211yescharacteristic
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×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×C4⋊C4×D13C2211yescharacteristic
57C2×C4⋊C4×D13C2211yescharacteristic
58C2×C4⋊C4×D13C2211yescharacteristic
59C2×C4⋊C4×D13C2211yescharacteristic
60C2×#88144C2211yescharacteristic, complemented
61C2×#88144C2211yescharacteristic, complemented
62C2×#88143C2211yescharacteristic, complemented
63C2×#88143C2211yescharacteristic, complemented
64C2×#88143C2211yescharacteristic, complemented
65C2×#88143C2211yescharacteristic, complemented
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×C42×D13C2211yescharacteristic
71C2×C42×D13C2211yescharacteristic
72C2×#88124C2211yescharacteristic, complemented
73C13×#400C2211yescharacteristic, complemented
74C13×#398C2211yescharacteristic, complemented
75C13×#398C2211yescharacteristic, complemented
76C13×#398C2211yescharacteristic, complemented
77C13×#389C2211yescharacteristic, complemented
78C13×#387C2211yescharacteristic, complemented
79C13×#387C2211yescharacteristic, complemented
80C13×#385C2211yescharacteristic
81C13×#385C2211yescharacteristic
82C13×#385C2211yescharacteristic
83C13×#385C2211yescharacteristic
84C13×#380C2211yescharacteristic
85C4×C13×C22⋊C4C2211yescharacteristic
86#11718873C2211yescharacteristic
87#11718871C2211yescharacteristic
88#11718871C2211yescharacteristic
89#11718871C2211yescharacteristic
90#11718871C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718650C2211yescharacteristic
98#11718650C2211yescharacteristic
99#11718650C2211yescharacteristic
100#11718648C2211yescharacteristic
101#11718648C2211yescharacteristic
102#11718647C2211yescharacteristic, complemented
103#11718646C2211yescharacteristic, complemented
104#11718645C2211yescharacteristic, complemented
105#11718645C2211yescharacteristic, complemented
106#11718645C2211yescharacteristic, complemented
107#11718645C2211yescharacteristic, complemented
108#11718645C2211yescharacteristic, complemented
109#11718645C2211yescharacteristic, complemented
110#11718644C2211yescharacteristic, complemented
111#11718644C2211yescharacteristic, complemented
112#11718644C2211yescharacteristic, complemented
113#11718643C2211yescharacteristic, complemented
114#11718642C2211yescharacteristic, complemented
115#11718642C2211yescharacteristic, complemented
116#11718641C2211yescharacteristic, complemented
117#11718641C2211yescharacteristic, complemented
118#11718641C2211yescharacteristic, complemented
119#11718639C2211yescharacteristic, complemented
120#11718639C2211yescharacteristic, complemented
121#11718634C2211yescharacteristic, complemented
122#11718633C2211yescharacteristic, complemented
123#11718633C2211yescharacteristic, complemented
124#11718611C2211yescharacteristic
125#11718611C2211yescharacteristic
126#11718611C2211yescharacteristic
127#11718611C2211yescharacteristic
128#11718607C2211yescharacteristic
129#11718607C2211yescharacteristic
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic
132#11718603C2211yescharacteristic
133#11718603C2211yescharacteristic
134C22⋊C4×Dic13C2211yescharacteristic
135C22⋊C4×Dic13C2211yescharacteristic
136C4×#6103C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138#11718594C2211yescharacteristic, complemented
139#11718594C2211yescharacteristic, complemented
140#11718589C2211yescharacteristic, complemented
141#11718329C2211yescharacteristic
142#11718329C2211yescharacteristic
143#11718329C2211yescharacteristic
144#11718329C2211yescharacteristic
145#11718329C2211yescharacteristic
146#11718329C2211yescharacteristic
147#11718329C2211yescharacteristic
148#11718329C2211yescharacteristic
149#11718328C2211yescharacteristic
150#11718328C2211yescharacteristic
151#11718327C2211yescharacteristic
152#11718327C2211yescharacteristic
153D13×#95C2211yescharacteristic
154D13×#95C2211yescharacteristic
155D13×#95C2211yescharacteristic
156D13×#95C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165#11718322C2211yescharacteristic, complemented
166#11718322C2211yescharacteristic, complemented
167#11718322C2211yescharacteristic, complemented
168#11718321C2211yescharacteristic, complemented
169#11718321C2211yescharacteristic, complemented
170#11718320C2211yescharacteristic, complemented
171#11718319C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718318C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718318C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C22×C4×D13—24no—
197C22×C4×D13—24no—
198C22×C4×D13—24no—
199C22×C4×D13—24no—
200C22×C4×D13—24no—
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13—42no—
204C22×C4×D13—42no—
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
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×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C13×#125—24no—
226C2×C13×C4⋊C4—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×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×C4⋊Dic13—24no—
260C2×C4⋊Dic13C2311yescharacteristic
261C2×C4⋊Dic13C2311yescharacteristic
262C2×C4⋊Dic13C2311yescharacteristic
263C2×C4⋊Dic13C2311yescharacteristic
264C2×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269C2×C4⋊Dic13C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×#6101—24no—
275C2×#6101—24no—
276C2×#6101C2311yescharacteristic
277C2×#6101C2311yescharacteristic
278C2×#6101C2311yescharacteristic
279C2×#6101C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C4⋊C4×D13—24no—
311C4⋊C4×D13—24no—
312C4⋊C4×D13—24no—
313C4⋊C4×D13—24no—
314C4⋊C4×D13—24no—
315C4⋊C4×D13—24no—
316C4⋊C4×D13—24no—
317C4⋊C4×D13—24no—
318C4⋊C4×D13—24no—
319C4⋊C4×D13—24no—
320C4⋊C4×D13—24no—
321C4⋊C4×D13—24no—
322C4⋊C4×D13—24no—
323C4⋊C4×D13—24no—
324C4⋊C4×D13—42no—
325C4⋊C4×D13—42no—
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—
334C22⋊C4×D13—24no—
335C22⋊C4×D13—24no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13Q818yes—
338C42×D13—24no—
339C42×D13—42no—
340#88124—24no—
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389C2×#2473—131nomaximal, Sylow
390C24×C13C2411yescharacteristic
391C23×D13—22no—
392C23×D13—22no—
393C23×D13—22no—
394C23×D13—22no—
395C23×D13C2×Q814yes—
396C23×D13#4114yes—
397C23×D13#4114yes—
398C23×D13C2411yescharacteristic
399C23×D13C2411yescharacteristic
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×Dic13—22no—
424C22×Dic13—22no—
425C22×Dic13—22no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—41no—
431C22×Dic13—41no—
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C2×C4×D13—232no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—22no—
451C2×C4×D13—22no—
452C2×C4×D13—22no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—416no—
498C2×C4×D13—416no—
499C2×C4×D13—41no—
500C2×C4×D13—41no—
501C2×C4×D13—41no—
502C2×C4×D13—41no—
503C2×C4×D13C2×D414yes—
504C2×C4×D13C2×D414yes—
505C2×C4×D13C2×D414yes—
506C2×C4×D13C2×Q814yes—
507C2×C4×D13C2×Q814yes—
508C2×C4×D13#4114yes—
509C13×C4⋊C4—22no—
510C13×C4⋊C4—22no—
511C13×C4⋊C4—22no—
512C13×C4⋊C4—22no—
513C13×C4⋊C4—22no—
514C13×C4⋊C4—22no—
515C13×C4⋊C4—22no—
516C13×C4⋊C4—22no—
517C13×C4⋊C4—22no—
518C13×C4⋊C4—22no—
519C13×C4⋊C4—41no—
520C13×C4⋊C4—41no—
521C13×C4⋊C4—41no—
522C13×C4⋊C4C2×D414yes—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4C2×Q814yes—
527C42×C13—22no—
528C42×C13—41no—
529C22⋊Dic13—22no—
530C22⋊Dic13—22no—
531C22⋊Dic13—22no—
532C22⋊Dic13C2×Q814yes—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103C2×Q814yes—
540#6103C2×Q814yes—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—22no—
544C4⋊Dic13—22no—
545C4⋊Dic13—22no—
546C4⋊Dic13—22no—
547C4⋊Dic13—22no—
548C4⋊Dic13—22no—
549C4⋊Dic13—22no—
550C4⋊Dic13—22no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554C4⋊Dic13C2×D414yes—
555#6101—22no—
556#6101—22no—
557#6101—22no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
561#6101—22no—
562#6101—22no—
563#6101—22no—
564#6101—22no—
565#6101—22no—
566#6101—22no—
567#6101—22no—
568#6101—22no—
569#6101—22no—
570#6101—22no—
571#6101—22no—
572#6101—22no—
573#6101—22no—
574#6101—22no—
575#6101—41no—
576#6101—41no—
577#6101—41no—
578#6101—41no—
579#6101—41no—
580#6101—41no—
581#6101C2×D414yes—
582#6101C2×D414yes—
583C4×Dic13—22no—
584C4×Dic13—22no—
585C4×Dic13—22no—
586C4×Dic13—41no—
587C4×Dic13—41no—
588C4×Dic13—41no—
589C22×#125—131no—
590C23×C4⋊C4—131no—
591#2473—131no—
592#2473—131no—
593#2473—131no—
594#2473—131no—
595#2473—131no—
596#2473—131no—
597#2473—131no—
598#2473—131no—
599#2473—131no—
600#2473—131no—
601#2473—131no—
602#2473—131no—
603#2473—131no—
604#2473—131no—
605#2473—131no—
606#2473D1311yescharacteristic, direct product factor
607C2×#400—131no—
608C2×#398—131no—
609C2×#398—131no—
610C2×#398—131no—
611C2×#389—131no—
612C2×#387—131no—
613C2×#387—131no—
614C2×#385—131no—
615C2×#385—131no—
616C2×#385—131no—
617C2×#385—131no—
618C2×#380—131no—
619C2×C4×C22⋊C4—131no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13C22×Q812yes—
625C23×C13C2×#4112yes—
626C23×C13C2×#4112yes—
627C23×C13C2511yescharacteristic
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—28no—
633C22×D13—28no—
634C22×D13—28no—
635C22×D13—28no—
636C22×D13—28no—
637C22×D13—28no—
638C22×D13#125116yescomplemented
639C22×D13C22×D412yes—
640C22×D13C22×Q812yes—
641C22×D13C22×Q812yes—
642C22×D13C2×#4112yes—
643C22×D13C2×#4112yes—
644C22×D13C2×#4112yes—
645C22×D13C2×#4112yes—
646C22×D13C2×#4112yes—
647C22×D13H(5,𝔽2)12yes—
648C22×D132−1+412yes—
649C2×C4×C13—28no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—44no—
687C2×C4×C13—44no—
688C2×C4×C13C22×D412yes—
689C2×C4×C13C22×D412yes—
690C2×C4×C13C22×D412yes—
691C2×C4×C13C22×Q812yes—
692C2×C4×C13C22×Q812yes—
693C2×C4×C13C2×#4112yes—
694C2×Dic13—28no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—44no—
732C2×Dic13—44no—
733C2×Dic13C22×D412yes—
734C2×Dic13C22×D412yes—
735C2×Dic13C22×D412yes—
736C2×Dic13C22×Q812yes—
737C2×Dic13C22×Q812yes—
738C2×Dic13C2×#4112yes—
739C4×D13—28no—
740C4×D13—28no—
741C4×D13—28no—
742C4×D13—28no—
743C4×D13—28no—
744C4×D13—28no—
745C4×D13—28no—
746C4×D13—28no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—44no—
759C24×C4—131no—
760C24×C4—131no—
761C24×C4—131no—
762C2×#125—131no—
763C2×#125—131no—
764C2×#125—131no—
765C2×#125—131no—
766C2×#125—131no—
767C2×#125—131no—
768C2×#125—131no—
769C2×#125—268no—
770C2×#125C2×D1311yescharacteristic, complemented
771C22×C4⋊C4—131no—
772C22×C4⋊C4—131no—
773C22×C4⋊C4—131no—
774C22×C4⋊C4—131no—
775C22×C4⋊C4—131no—
776C22×C4⋊C4—131no—
777C22×C4⋊C4—131no—
778C22×C4⋊C4—131no—
779C22×C4⋊C4—131no—
780C22×C4⋊C4—131no—
781C22×C4⋊C4—131no—
782C22×C4⋊C4—131no—
783C22×C4⋊C4—131no—
784C22×C4⋊C4—131no—
785C22×C4⋊C4—131no—
786C22×C4⋊C4—131no—
787C22×C4⋊C4—131no—
788C22×C4⋊C4—131no—
789C22×C4⋊C4—131no—
790C22×C4⋊C4—131no—
791C22×C4⋊C4—131no—
792C22×C4⋊C4—268no—
793C22×C4⋊C4C2×D1311yescharacteristic
794C22×C22⋊C4—131no—
795C22×C22⋊C4—131no—
796C22×C22⋊C4—131no—
797C22×C22⋊C4—131no—
798C22×C42—131no—
799C22×C42—131no—
800#400—131no—
801#400—131no—
802#400—131no—
803#400—131no—
804#400—131no—
805#400—131no—
806#400—131no—
807#400C2×D1311yescharacteristic, complemented
808#398—131no—
809#398—131no—
810#398—131no—
811#398—131no—
812#398—131no—
813#398—131no—
814#398—131no—
815#398—131no—
816#398—131no—
817#398—131no—
818#398—131no—
819#398—131no—
820#398—131no—
821#398—131no—
822#398—131no—
823#398—131no—
824#398—131no—
825#398—131no—
826#398—131no—
827#398—131no—
828#398—131no—
829#398C2×D1311yescharacteristic, complemented
830#398C2×D1311yescharacteristic, complemented
831#398C2×D1311yescharacteristic, complemented
832#389—131no—
833#389—131no—
834#389—131no—
835#389—131no—
836#389—131no—
837#389—131no—
838#389—131no—
839#389C2×D1311yescharacteristic, complemented
840#387—131no—
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#387C2×D1311yescharacteristic, complemented
855#387C2×D1311yescharacteristic, complemented
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385C2×D1311yescharacteristic
885#385C2×D1311yescharacteristic
886#385C2×D1311yescharacteristic
887#385C2×D1311yescharacteristic
888#380—131no—
889#380—131no—
890#380—131no—
891#380—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380C2×D1311yescharacteristic
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4C2×D1311yescharacteristic
904C2×#95—131no—
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95—131no—
909C2×#95—131no—
910C2×#95—131no—
911C2×#95—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13C2×#12514yescomplemented
923C22×C13C23×D411yescharacteristic
924C22×C13C23×Q811yescharacteristic
925C22×C13C22×#4111yescharacteristic
926C22×C13C22×#4111yescharacteristic
927C22×C13C22×#4111yescharacteristic
928C22×C13C2×H(5,𝔽2)11yescharacteristic
929C22×C13C2×2−1+411yescharacteristic
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—232no—
937C2×D13#52514yes—
938C2×D13C2×#12514yes—
939C2×D13C2×#12514yescomplemented
940C2×D13#53914yes—
941C2×D13#54614yes—
942C2×D13D4×Q814yes—
943C2×D13#55214yes—
944C2×D13#55414yes—
945C4×C13—22no—
946C4×C13—22no—
947C4×C13—22no—
948C4×C13—22no—
949C4×C13—22no—
950C4×C13—22no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954C4×C13—41no—
955C4×C13—41no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959Dic13—22no—
960Dic13—22no—
961Dic13—22no—
962Dic13—22no—
963Dic13—22no—
964Dic13—22no—
965Dic13—41no—
966Dic13—41no—
967Dic13—41no—
968Dic13—41no—
969Dic13—41no—
970Dic13—41no—
971Dic13—41no—
972Dic13—41no—
973C25—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—131no—
982C23×C4—131no—
983C23×C4—131no—
984C23×C4—131no—
985C23×C4—131no—
986C23×C4—131no—
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—264no—
998C23×C4—264no—
999C23×C4—264no—
1000C23×C4—264no—
1001C23×C4—264no—
1002C23×C4—264no—
1003C23×C4—264no—
1004C23×C4—522no—
1005C23×C4—522no—
1006C23×C4C22×D1311yescharacteristic
1007C23×C4C22×D1311yescharacteristic
1008C23×C4C22×D1311yescharacteristic
1009#125—24no—
1010#125—264no—
1011#125—264no—
1012#125—264no—
1013#125—264no—
1014#125—264no—
1015#125—264no—
1016#125—264no—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—138no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4—131no—
1028C2×C4⋊C4—131no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—264no—
1062C2×C4⋊C4—264no—
1063C2×C4⋊C4—264no—
1064C2×C4⋊C4—264no—
1065C2×C4⋊C4—264no—
1066C2×C4⋊C4—264no—
1067C2×C4⋊C4—264no—
1068C2×C4⋊C4—264no—
1069C2×C4⋊C4—264no—
1070C2×C4⋊C4—264no—
1071C2×C4⋊C4—264no—
1072C2×C4⋊C4—264no—
1073C2×C4⋊C4—264no—
1074C2×C4⋊C4—264no—
1075C2×C4⋊C4—264no—
1076C2×C4⋊C4—264no—
1077C2×C4⋊C4—264no—
1078C2×C4⋊C4—522no—
1079C2×C4⋊C4—522no—
1080C2×C4⋊C4—522no—
1081C2×C4⋊C4C22×D1311yescharacteristic
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C4⋊C4C22×D1311yescharacteristic
1087C2×C4⋊C4C22×D1311yescharacteristic
1088C2×C4⋊C4C22×D1311yescharacteristic
1089C2×C4⋊C4C22×D1311yescharacteristic
1090C2×C4⋊C4C22×D1311yescharacteristic
1091C2×C4⋊C4C22×D1311yescharacteristic
1092C2×C4⋊C4C22×D1311yescharacteristic
1093C2×C4⋊C4C22×D1311yescharacteristic
1094C2×C4⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—138no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—264no—
1109C2×C22⋊C4—264no—
1110C2×C22⋊C4—264no—
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—264no—
1122C2×C42—522no—
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173C2×C13—24no—
1174C2×C13C2×#52511yescharacteristic
1175C2×C13C22×#12511yescharacteristic
1176C2×C13C2×#53911yescharacteristic
1177C2×C13C2×#54611yescharacteristic
1178C2×C13C2×D4×Q811yescharacteristic
1179C2×C13C2×#55211yescharacteristic
1180C2×C13C2×#55411yescharacteristic
1181D13—24no—
1182D13#247318yesdirect product factor
1183C24—131no—
1184C24—134no—
1185C24—134no—
1186C24—134no—
1187C24—131no—
1188C24—262no—
1189C24—262no—
1190C24—262no—
1191C24—262no—
1192C24C23×D1311yescharacteristic
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—134no—
1209C22×C4—134no—
1210C22×C4—134no—
1211C22×C4—134no—
1212C22×C4—134no—
1213C22×C4—134no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—2632no—
1241C22×C4—262no—
1242C22×C4—262no—
1243C22×C4—262no—
1244C22×C4—262no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—5216no—
1285C22×C4—5216no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—134no—
1316C4⋊C4—134no—
1317C4⋊C4—134no—
1318C4⋊C4—262no—
1319C4⋊C4—262no—
1320C4⋊C4—262no—
1321C4⋊C4—262no—
1322C4⋊C4—262no—
1323C4⋊C4—262no—
1324C4⋊C4—262no—
1325C4⋊C4—262no—
1326C4⋊C4—262no—
1327C4⋊C4—262no—
1328C4⋊C4—262no—
1329C4⋊C4—262no—
1330C4⋊C4—262no—
1331C4⋊C4—262no—
1332C4⋊C4—262no—
1333C4⋊C4—262no—
1334C4⋊C4—262no—
1335C4⋊C4—262no—
1336C4⋊C4—262no—
1337C4⋊C4—262no—
1338C4⋊C4—262no—
1339C4⋊C4—262no—
1340C4⋊C4—262no—
1341C4⋊C4—262no—
1342C4⋊C4—262no—
1343C4⋊C4—262no—
1344C4⋊C4—262no—
1345C4⋊C4—262no—
1346C4⋊C4—262no—
1347C4⋊C4—262no—
1348C4⋊C4—521no—
1349C4⋊C4—521no—
1350C4⋊C4—521no—
1351C4⋊C4—521no—
1352C4⋊C4—521no—
1353C4⋊C4—521no—
1354C4⋊C4—521no—
1355C4⋊C4—521no—
1356C4⋊C4—521no—
1357C4⋊C4D4×D1314yes—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—134no—
1362C22⋊C4—134no—
1363C22⋊C4—134no—
1364C22⋊C4—262no—
1365C22⋊C4—262no—
1366C22⋊C4—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—262no—
1371C22⋊C4—262no—
1372C22⋊C4—262no—
1373C22⋊C4Q8×D1314yes—
1374C42—22no—
1375C42—41no—
1376C42—262no—
1377C42—262no—
1378C42—262no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C13C2×#247311yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—132no—
1388C23—132no—
1389C23—132no—
1390C23—132no—
1391C23—132no—
1392C23—132no—
1393C23—132no—
1394C23—132no—
1395C23—132no—
1396C23—132no—
1397C23—1316no—
1398C23—268no—
1399C23—268no—
1400C23—268no—
1401C23—268no—
1402C23—268no—
1403C23—268no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23C2×Q8×D1312yes—
1409C23#41×D1312yes—
1410C23#41×D1312yes—
1411C23C24×D1311yescharacteristic
1412C2×C4—28no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—132no—
1452C2×C4—132no—
1453C2×C4—132no—
1454C2×C4—132no—
1455C2×C4—132no—
1456C2×C4—132no—
1457C2×C4—268no—
1458C2×C4—268no—
1459C2×C4—268no—
1460C2×C4—268no—
1461C2×C4—268no—
1462C2×C4—268no—
1463C2×C4—268no—
1464C2×C4—268no—
1465C2×C4—268no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—524no—
1503C2×C4—524no—
1504C2×C4—524no—
1505C2×C4—524no—
1506C2×C4—524no—
1507C2×C4—524no—
1508C2×C4—524no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4—524no—
1515C2×C4—524no—
1516C2×C4C2×D4×D1312yes—
1517C2×C4C2×D4×D1312yes—
1518C2×C4C2×D4×D1312yes—
1519C2×C4C2×Q8×D1312yes—
1520C2×C4C2×Q8×D1312yes—
1521C2×C4#41×D1312yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—134no—
1529C22—134no—
1530C22—134no—
1531C22—134no—
1532C22—134no—
1533C22—134no—
1534C22—134no—
1535C22—134no—
1536C22—2632no—
1537C22—262no—
1538C22—262no—
1539C22—262no—
1540C22—262no—
1541C22—262no—
1542C22—262no—
1543C22D13×#12514yescomplemented
1544C22C22×D4×D1311yescharacteristic
1545C22C22×Q8×D1311yescharacteristic
1546C22C2×#41×D1311yescharacteristic
1547C22C2×#41×D1311yescharacteristic
1548C22C2×#41×D1311yescharacteristic
1549C22D13×H(5,𝔽2)11yescharacteristic
1550C22D13×2−1+411yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—262no—
1566C4—262no—
1567C4—262no—
1568C4—262no—
1569C4—262no—
1570C4—262no—
1571C4—521no—
1572C4—521no—
1573C4—521no—
1574C4—521no—
1575C4—521no—
1576C4—521no—
1577C4—521no—
1578C4—521no—
1579C2—24no—
1580C2—138no—
1581C2—264no—
1582C2D13×#52511yescharacteristic
1583C2C2×D13×#12511yescharacteristic
1584C2D13×#53911yescharacteristic
1585C2D13×#54611yescharacteristic
1586C2D4×Q8×D1311yescharacteristic
1587C2D13×#55211yescharacteristic
1588C2D13×#55411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2473C2
prime radicalC24×D13C23
hypercenter#2473D13
hypocenterC13C2×#2473
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×D13×#125C2semidirect
3. #13118984C2semidirect
4. #13118983C2semidirect
5. #13118982C2semidirect
6. #13118981C2semidirect
7. #13118980C2semidirect
8. #13118979C2semidirect
9. #13118978C2semidirect
10. #13118977C2semidirect
11. #13118976C2semidirect
12. #13118975C2semidirect
13. #13118974C2semidirect
14. #13118973C2semidirect
15. #13118972C2semidirect
16. #13118971C2semidirect
17. #13118970C2semidirect
18. D13×#400C2semidirect
19. D13×#398C2semidirect
20. D13×#398C2semidirect
21. D13×#398C2semidirect
22. D13×#389C2semidirect
23. D13×#387C2semidirect
24. D13×#387C2semidirect
31. C13×#2473C2semidirect
35. C2×C13×#125C22semidirect
60. C2×#88144C22semidirect
61. C2×#88144C22semidirect
62. C2×#88143C22semidirect
63. C2×#88143C22semidirect
64. C2×#88143C22semidirect
65. C2×#88143C22semidirect
72. C2×#88124C22semidirect
73. C13×#400C22semidirect
74. C13×#398C22semidirect
75. C13×#398C22semidirect
76. C13×#398C22semidirect
77. C13×#389C22semidirect
78. C13×#387C22semidirect
79. C13×#387C22semidirect
102. #11718647C22semidirect
103. #11718646C22semidirect
104. #11718645C22semidirect
105. #11718645C22semidirect
106. #11718645C22semidirect
107. #11718645C22semidirect
108. #11718645C22semidirect
109. #11718645C22semidirect
110. #11718644C22semidirect
111. #11718644C22semidirect
112. #11718644C22semidirect
113. #11718643C22semidirect
114. #11718642C22semidirect
115. #11718642C22semidirect
116. #11718641C22semidirect
117. #11718641C22semidirect
118. #11718641C22semidirect
119. #11718639C22semidirect
120. #11718639C22semidirect
121. #11718634C22semidirect
122. #11718633C22semidirect
123. #11718633C22semidirect
138. #11718594C22semidirect
139. #11718594C22semidirect
140. #11718589C22semidirect
165. #11718322C22semidirect
166. #11718322C22semidirect
167. #11718322C22semidirect
168. #11718321C22semidirect
169. #11718321C22semidirect
170. #11718320C22semidirect
171. #11718319C22semidirect
172. #11718319C22semidirect
173. #11718318C22semidirect
174. #11718318C22semidirect
175. #11718318C22semidirect
176. #11718318C22semidirect
177. #11718318C22semidirect
178. #11718318C22semidirect
179. #11718316C22semidirect
180. #11718316C22semidirect
181. #11718315C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718313C22semidirect
186. #11718313C22semidirect
187. #11718308C22semidirect
188. #11718308C22semidirect
606. #2473D13direct (N × H)
638. C22×D13#125semidirect
770. C2×#125C2×D13semidirect
807. #400C2×D13semidirect
829. #398C2×D13semidirect
830. #398C2×D13semidirect
831. #398C2×D13semidirect
839. #389C2×D13semidirect
854. #387C2×D13semidirect
855. #387C2×D13semidirect
922. C22×C13C2×#125semidirect
939. C2×D13C2×#125semidirect
1182. D13#2473direct (N × H)
1382. C13C2×#2473semidirect
1543. C22D13×#125semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1252
C22×C4⋊C4×D132
#131189842
#131189832
#131189822
#131189812
#131189802
#131189792
#131189782
#131189772
#131189762
#131189752
#131189742
#131189732
#131189722
#131189712
#131189702
D13×#4002
D13×#3982
D13×#3892
D13×#3872
D13×#3852
D13×#3802
C4×C22⋊C4×D132
C13×#24732
C2×#247313