Finite Group Databasebeta

← #16069740

Subgroups — #16069740

Order 3328.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719383C211yesmaximal, characteristic, complemented
2C2×D13×#123C211yesmaximal, characteristic, complemented
3#13123120C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121374C211yesmaximal, characteristic, complemented
6#13121372C211yesmaximal, characteristic, complemented
7#13121370C211yesmaximal, characteristic, complemented
8#13121368C211yesmaximal, characteristic, complemented
9#13121348C211yesmaximal, characteristic, complemented
10#13121347C211yesmaximal, characteristic, complemented
11#13121343C211yesmaximal, characteristic, complemented
12#13121341C211yesmaximal, characteristic, complemented
13#13121086C211yesmaximal, characteristic, complemented
14#13121083C211yesmaximal, characteristic, complemented
15#13121082C211yesmaximal, characteristic, complemented
16#13121078C211yesmaximal, characteristic, complemented
17#13121077C211yesmaximal, characteristic, complemented
18#13121066C211yesmaximal, characteristic, complemented
19#13121065C211yesmaximal, characteristic, complemented
20#13120648C211yesmaximal, characteristic, complemented
21#13120583C211yesmaximal, characteristic, complemented
22#13119730C211yesmaximal, characteristic, complemented
23#13119721C211yesmaximal, characteristic, complemented
24#13119151C211yesmaximal, characteristic, complemented
25#13119146C211yesmaximal, characteristic, complemented
26#13118229C211yesmaximal, characteristic, complemented
27#13118227C211yesmaximal, characteristic, complemented
28#13118207C211yesmaximal, characteristic, complemented
29#13118205C211yesmaximal, characteristic, complemented
30#13117447C211yesmaximal, characteristic, complemented
31C13×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#124C2211yescharacteristic, complemented
35C2×C13×#123C2211yescharacteristic
36C2×C13×C22⋊Q8C2211yescharacteristic, complemented
37C2×C13×#121C2211yescharacteristic
38C2×#88201C2211yescharacteristic, complemented
39C2×#88200C2211yescharacteristic
40C2×#88200C2211yescharacteristic, complemented
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic, complemented
43C2×#88193C2211yescharacteristic, complemented
44C2×#88191C2211yescharacteristic
45C2×#88191C2211yescharacteristic
46C2×#88189C2211yescharacteristic
47C2×#88183C2211yescharacteristic
48C22×#6103C2211yescharacteristic
49#11719383—28no—
50D13×#123—28no—
51C2×#88149C2211yescharacteristic
52C2×#88148C2211yescharacteristic
53C2×#88148C2211yescharacteristic
54C2×#88148C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×C4⋊C4×D13C2211yescharacteristic
57C2×#88140C2211yescharacteristic
58C2×#88140C2211yescharacteristic, complemented
59C2×#88138C2211yescharacteristic
60C2×#88138C2211yescharacteristic
61C2×#88138C2211yescharacteristic, complemented
62C2×#88138C2211yescharacteristic, complemented
63C2×#88137C2211yescharacteristic
64C2×#88137C2211yescharacteristic
65C2×#88137C2211yescharacteristic
66C2×#88137C2211yescharacteristic, complemented
67C2×#88136C2211yescharacteristic
68C2×#88136C2211yescharacteristic
69C2×#88135C2211yescharacteristic
70C2×C22⋊C4×D13C2211yescharacteristic
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C22⋊C4×D13C2211yescharacteristic
73C2×C22⋊C4×D13C2211yescharacteristic
74C2×#88133C2211yescharacteristic, complemented
75C2×#88130C2211yescharacteristic, complemented
76C2×C4×D52C2211yescharacteristic
77C13×#399C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic, complemented
79C13×#395C2211yescharacteristic, complemented
80C13×#394C2211yescharacteristic
81C13×#394C2211yescharacteristic, complemented
82C13×#394C2211yescharacteristic, complemented
83C13×#389C2211yescharacteristic, complemented
84C13×#388C2211yescharacteristic, complemented
85C13×#386C2211yescharacteristic, complemented
86C13×#385C2211yescharacteristic, complemented
87C13×#380C2211yescharacteristic, complemented
88#11718890C2211yescharacteristic, complemented
89#11718884C2211yescharacteristic
90#11718884C2211yescharacteristic
91#11718883C2211yescharacteristic, complemented
92#11718881C2211yescharacteristic
93#11718881C2211yescharacteristic, complemented
94#11718874C2211yescharacteristic
95#11718874C2211yescharacteristic, complemented
96#11718874C2211yescharacteristic, complemented
97#11718873C2211yescharacteristic, complemented
98#11718871C2211yescharacteristic, complemented
99#11718655C2211yescharacteristic, complemented
100#11718655C2211yescharacteristic, complemented
101#11718655C2211yescharacteristic, complemented
102#11718655C2211yescharacteristic, complemented
103#11718654C2211yescharacteristic, complemented
104#11718653C2211yescharacteristic, complemented
105#11718653C2211yescharacteristic, complemented
106#11718652C2211yescharacteristic
107#11718652C2211yescharacteristic, complemented
108#11718650C2211yescharacteristic
109#11718650C2211yescharacteristic
110#11718650C2211yescharacteristic
111#11718650C2211yescharacteristic
112#11718650C2211yescharacteristic, complemented
113#11718650C2211yescharacteristic, complemented
114#11718650C2211yescharacteristic, complemented
115#11718650C2211yescharacteristic, complemented
116#11718648C2211yescharacteristic
117#11718648C2211yescharacteristic
118#11718648C2211yescharacteristic, complemented
119#11718648C2211yescharacteristic, complemented
120#11718648C2211yescharacteristic, complemented
121#11718648C2211yescharacteristic, complemented
122#11718647C2211yescharacteristic, complemented
123#11718645C2211yescharacteristic, complemented
124#11718643C2211yescharacteristic, complemented
125#11718641C2211yescharacteristic, complemented
126#11718641C2211yescharacteristic, complemented
127#11718633C2211yescharacteristic, complemented
128#11718633C2211yescharacteristic, complemented
129#11718622C2211yescharacteristic, complemented
130#11718622C2211yescharacteristic, complemented
131#11718621C2211yescharacteristic
132#11718621C2211yescharacteristic
133#11718620C2211yescharacteristic
134#11718620C2211yescharacteristic
135#11718620C2211yescharacteristic, complemented
136#11718620C2211yescharacteristic, complemented
137#11718619C2211yescharacteristic, complemented
138#11718619C2211yescharacteristic, complemented
139#11718617C2211yescharacteristic
140#11718617C2211yescharacteristic
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic, complemented
143#11718617C2211yescharacteristic, complemented
144#11718617C2211yescharacteristic, complemented
145#11718617C2211yescharacteristic, complemented
146#11718616C2211yescharacteristic
147#11718616C2211yescharacteristic
148#11718614C2211yescharacteristic, complemented
149#11718613C2211yescharacteristic, complemented
150#11718612C2211yescharacteristic, complemented
151#11718611C2211yescharacteristic, complemented
152#11718610C2211yescharacteristic, complemented
153#11718609C2211yescharacteristic, complemented
154#11718609C2211yescharacteristic, complemented
155#11718609C2211yescharacteristic, complemented
156#11718607C2211yescharacteristic, complemented
157#11718607C2211yescharacteristic, complemented
158#11718607C2211yescharacteristic, complemented
159#11718603C2211yescharacteristic, complemented
160#11718603C2211yescharacteristic, complemented
161#11718603C2211yescharacteristic, complemented
162#11718603C2211yescharacteristic, complemented
163#11718601C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718336C2211yescharacteristic, complemented
166#11718333C2211yescharacteristic, complemented
167#11718333C2211yescharacteristic, complemented
168#11718330C2211yescharacteristic, complemented
169#11718329C2211yescharacteristic, complemented
170#11718329C2211yescharacteristic, complemented
171#11718328C2211yescharacteristic
172#11718328C2211yescharacteristic
173#11718328C2211yescharacteristic, complemented
174#11718328C2211yescharacteristic, complemented
175#11718326C2211yescharacteristic
176#11718326C2211yescharacteristic
177#11718326C2211yescharacteristic
178#11718326C2211yescharacteristic, complemented
179#11718326C2211yescharacteristic, complemented
180#11718325C2211yescharacteristic
181#11718325C2211yescharacteristic
182#11718321C2211yescharacteristic, complemented
183#11718321C2211yescharacteristic, complemented
184#11718320C2211yescharacteristic, complemented
185#11718320C2211yescharacteristic, complemented
186#11718318C2211yescharacteristic, complemented
187#11718318C2211yescharacteristic, complemented
188#11718318C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C2×D4×D13—24no—
209C2×D4×D13—42no—
210C2×D4×D13—42no—
211C22×D52C2311yescharacteristic
212C22×D52C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×C4×D13—24no—
216C22×C4×D13—42no—
217C22×C4×D13—42no—
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
228C13×#124—24no—
229C13×#123—24no—
230C13×C22⋊Q8—42no—
231C13×#121—42no—
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×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C42×C13C2311yescharacteristic
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×C22⋊Dic13C2311yescharacteristic
266#88201—24no—
267#88200—24no—
268#88200—42no—
269#88193—24no—
270#88193—42no—
271#88193—42no—
272#88191—24no—
273#88191—42no—
274#88189—24no—
275#88183—24no—
276C2×#6103—42no—
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×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312C2×C4⋊Dic13C2311yescharacteristic
313C2×C4⋊Dic13C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333#88149—42no—
334#88148—24no—
335#88148—24no—
336#88148—42no—
337C4⋊C4×D13—24no—
338C4⋊C4×D13—24no—
339#88140—24no—
340#88140—24no—
341#88138—24no—
342#88138—24no—
343#88138—42no—
344#88138—42no—
345#88137—24no—
346#88137—24no—
347#88137—24no—
348#88137—42no—
349#88136—24no—
350#88136—42no—
351#88135—24no—
352C22⋊C4×D13—24no—
353C22⋊C4×D13—24no—
354C22⋊C4×D13—42no—
355C22⋊C4×D13D418yescomplemented
356#88133—24no—
357#88130—24no—
358C4×D52—24no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#36709—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—41no—
403C23×D13—41no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13C2×D414yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C23×D13C2411yescharacteristic
413C2×Q8×C13—22no—
414C2×Q8×C13—41no—
415C2×Q8×C13—41no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—41no—
421C2×D4×C13—41no—
422C2×D4×C13—41no—
423C2×D4×C13—41no—
424C2×D4×C13—41no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—41no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—41no—
456C2×C22⋊D13—41no—
457C2×C22⋊D13—41no—
458C2×C22⋊D13—41no—
459C2×C22⋊D13—41no—
460C2×C22⋊D13—41no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
465C2×C22⋊D13—41no—
466C2×C22⋊D13—41no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—41no—
471C22×Dic13—41no—
472C22×Dic13—41no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488D4×D13—416no—
489C2×D52—22no—
490C2×D52—22no—
491C2×D52—22no—
492C2×D52—22no—
493C2×D52—22no—
494C2×D52—22no—
495C2×D52—22no—
496C2×D52—41no—
497C2×D52—41no—
498C2×D52—41no—
499C2×D52—41no—
500C2×D52—41no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—41no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13—41no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—416no—
522C2×C4×D13—41no—
523C2×C4×D13—41no—
524C2×C4×D13—41no—
525C2×C4×D13—41no—
526C2×C4×D13—41no—
527C2×C4×D13—41no—
528C2×C4×D13—41no—
529C2×C4×D13—41no—
530C2×C4×D13C2×D414yes—
531C2×C4×D13C2×D414yes—
532C13×C4⋊C4—22no—
533C13×C4⋊C4—22no—
534C13×C4⋊C4—41no—
535C13×C4⋊C4—41no—
536C13×C4⋊C4—41no—
537C13×C4⋊C4—41no—
538C13×C4⋊C4—41no—
539C13×C4⋊C4—41no—
540C13×C4⋊C4—41no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4—22no—
543C13×C22⋊C4—22no—
544C13×C22⋊C4—22no—
545C13×C22⋊C4—22no—
546C13×C22⋊C4—22no—
547C13×C22⋊C4—22no—
548C13×C22⋊C4—41no—
549C13×C22⋊C4—41no—
550C13×C22⋊C4—41no—
551C13×C22⋊C4—41no—
552C13×C22⋊C4—41no—
553C13×C22⋊C4C2×D414yes—
554C42×C13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13C2×D414yes—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—22no—
577#6103—22no—
578#6103—22no—
579#6103—22no—
580#6103—22no—
581#6103—22no—
582#6103—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103—41no—
588#6103—41no—
589#6103—41no—
590#6103—41no—
591#6103—41no—
592#6103—41no—
593#6103—41no—
594#6103C2×D414yes—
595#6103C2×D414yes—
596C4⋊Dic13—22no—
597C4⋊Dic13—22no—
598C4⋊Dic13—22no—
599C4⋊Dic13—22no—
600C4⋊Dic13—41no—
601C4⋊Dic13—41no—
602C4⋊Dic13—41no—
603#6101—22no—
604#6101—22no—
605#6101—22no—
606#6101—22no—
607#6101—22no—
608#6101—22no—
609#6101—22no—
610#6101—22no—
611#6101—41no—
612#6101—41no—
613#6101—41no—
614#6101—41no—
615#6101—41no—
616#6101—41no—
617#6101—41no—
618#6101—41no—
619#6101—41no—
620#6101—41no—
621C4×Dic13—22no—
622C2×#538—131no—
623C22×#123—131no—
624#2848—131no—
625#2847—131no—
626#2695—131no—
627#2695—131no—
628#2695—131no—
629#2695—131no—
630#2693—131no—
631#2693—131no—
632#2693—131no—
633#2693—131no—
634#2672—131no—
635#2672—131no—
636#2672—131no—
637#2672D1311yescharacteristic, complemented
638#2671—131no—
639#2671—131no—
640#2671—131no—
641#2671—131no—
642#2627—131no—
643#2618—131no—
644#2534—131no—
645#2534—131no—
646#2487—131no—
647#2487—131no—
648#2412—131no—
649#2412—131no—
650#2410—131no—
651#2410—131no—
652#2315—131no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13—21no—
668C23×C13—21no—
669C23×C13—21no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13C22×D412yes—
673C23×C13H(5,𝔽2)12yes—
674C23×C13C2511yescharacteristic
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—28no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—21no—
685C22×D13—21no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—28no—
693C22×D13—21no—
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—44no—
701C22×D13—44no—
702C22×D13—44no—
703C22×D13—44no—
704C22×D13—44no—
705C22×D13—44no—
706C22×D13—44no—
707C22×D13—44no—
708C22×D13—82no—
709C22×D13—82no—
710C22×D13—82no—
711C22×D13—82no—
712C22×D13C22×D412yes—
713C22×D13C22×D412yes—
714C22×D13H(5,𝔽2)12yes—
715C22×D13H(5,𝔽2)12yes—
716C22×D132−1+412yes—
717Q8×C13—82no—
718D4×C13—44no—
719D4×C13—82no—
720D4×C13—82no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—44no—
756C2×C4×C13—82no—
757C2×C4×C13C22×D412yes—
758C2×C4×C13C22×D412yes—
759C22⋊D13—44no—
760C22⋊D13—44no—
761C22⋊D13—44no—
762C22⋊D13—82no—
763C22⋊D13—82no—
764C22⋊D13—82no—
765C22⋊D13—82no—
766C22⋊D13—82no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—44no—
802C2×Dic13—82no—
803C2×Dic13—82no—
804C2×Dic13C22×D412yes—
805C2×Dic13C22×D412yes—
806D52—44no—
807D52—44no—
808D52—82no—
809D52—82no—
810C4×D13—44no—
811C4×D13—44no—
812C4×D13—44no—
813C4×D13—44no—
814C4×D13—44no—
815C4×D13—44no—
816C4×D13—44no—
817C4×D13—82no—
818C4×D13—82no—
819C4×D13—82no—
820C23×D4—131no—
821C24×C4—131no—
822#538—268no—
823C2×#126—131no—
824C2×#126—131no—
825C2×#124—131no—
826C2×#124C2×D1311yescharacteristic, complemented
827C2×#123—131no—
828C2×#123—131no—
829C2×#123—131no—
830C2×#123—131no—
831C2×#123—131no—
832C2×#123—131no—
833C2×#123—131no—
834C2×#123—131no—
835C2×#123—131no—
836C2×#123—131no—
837C2×#123—131no—
838C2×#123—268no—
839C2×#123C2×D1311yescharacteristic
840C2×C22⋊Q8—131no—
841C2×C22⋊Q8—131no—
842C2×C22⋊Q8C2×D1311yescharacteristic, complemented
843C2×#121—131no—
844C2×#121—131no—
845C2×#121—131no—
846C2×#121—131no—
847C2×#121—131no—
848C2×#121—131no—
849C2×#121—131no—
850C2×#121—131no—
851C2×#121C2×D1311yescharacteristic
852C2×#120—131no—
853C2×#120—131no—
854C2×#120—131no—
855C2×#120—131no—
856C2×C4×D4—131no—
857C2×C4×D4—131no—
858C22×C4⋊C4—131no—
859C22×C4⋊C4—131no—
860C22×C22⋊C4—131no—
861C22×C22⋊C4—131no—
862C22×C22⋊C4—131no—
863C22×C22⋊C4—131no—
864C22×C22⋊C4—131no—
865#400—131no—
866#400—131no—
867#400—131no—
868#400—131no—
869#400—131no—
870#400—131no—
871#399—131no—
872#399—131no—
873#399—131no—
874#399C2×D1311yescharacteristic, complemented
875#398—131no—
876#398—131no—
877#398—131no—
878#398—131no—
879#398—131no—
880#398—131no—
881#397—131no—
882#397—131no—
883#397—131no—
884#397—131no—
885#396—131no—
886#396—131no—
887#396—131no—
888#396—131no—
889#396—131no—
890#396—131no—
891#396—131no—
892#396C2×D1311yescharacteristic, complemented
893#395—131no—
894#395C2×D1311yescharacteristic, complemented
895#394—131no—
896#394—131no—
897#394—131no—
898#394—131no—
899#394—131no—
900#394—131no—
901#394—131no—
902#394—131no—
903#394—131no—
904#394—131no—
905#394—131no—
906#394C2×D1311yescharacteristic
907#394C2×D1311yescharacteristic, complemented
908#394C2×D1311yescharacteristic, complemented
909#392—131no—
910#392—131no—
911#392—131no—
912#392—131no—
913#389—131no—
914#389—131no—
915#389—131no—
916#389C2×D1311yescharacteristic, complemented
917#388—131no—
918#388—131no—
919#388—131no—
920#388C2×D1311yescharacteristic, complemented
921#386—131no—
922#386—131no—
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#386—131no—
938#386—131no—
939#386—131no—
940#386C2×D1311yescharacteristic, complemented
941#385—131no—
942#385—131no—
943#385—131no—
944#385—131no—
945#385—131no—
946#385—131no—
947#385—131no—
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#385—131no—
953#385—131no—
954#385—131no—
955#385—131no—
956#385C2×D1311yescharacteristic, complemented
957#381—131no—
958#381—131no—
959#380—131no—
960#380—131no—
961#380—131no—
962#380—131no—
963#380—131no—
964#380—131no—
965#380—131no—
966#380—131no—
967#380—131no—
968#380—131no—
969#380—131no—
970#380—131no—
971#380—131no—
972#380—131no—
973#380—131no—
974#380C2×D1311yescharacteristic, complemented
975#379—131no—
976#379—131no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—22no—
983C22×C13—41no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13—41no—
997C22×C13—41no—
998C22×C13C23×D411yescharacteristic
999C22×C13C2×H(5,𝔽2)11yescharacteristic
1000C22×C13C2×H(5,𝔽2)11yescharacteristic
1001C22×C13C2×H(5,𝔽2)11yescharacteristic
1002C22×C13C2×2−1+411yescharacteristic
1003C22×C13#58511yescharacteristic
1004C22×C13#58511yescharacteristic
1005C2×D13—22no—
1006C2×D13—22no—
1007C2×D13—22no—
1008C2×D13—22no—
1009C2×D13—22no—
1010C2×D13—22no—
1011C2×D13—22no—
1012C2×D13—22no—
1013C2×D13—22no—
1014C2×D13—22no—
1015C2×D13—22no—
1016C2×D13—22no—
1017C2×D13—416no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—41no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—88no—
1034C2×D13#53714yes—
1035C4×C13—22no—
1036C4×C13—22no—
1037C4×C13—41no—
1038C4×C13—41no—
1039C4×C13—41no—
1040C4×C13—41no—
1041C4×C13—41no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047Dic13—22no—
1048Dic13—22no—
1049Dic13—41no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059C25—131no—
1060C25—131no—
1061C22×Q8C22×D1311yescharacteristic
1062C22×D4—131no—
1063C22×D4—131no—
1064C22×D4—131no—
1065C22×D4—131no—
1066C22×D4—131no—
1067C22×D4—131no—
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—131no—
1072C22×D4—131no—
1073C22×D4—131no—
1074C22×D4—264no—
1075C22×D4—522no—
1076C22×D4—522no—
1077C22×D4C22×D1311yescharacteristic
1078C22×D4C22×D1311yescharacteristic
1079C22×D4C22×D1311yescharacteristic
1080C23×C4—131no—
1081C23×C4—131no—
1082C23×C4—131no—
1083C23×C4—131no—
1084C23×C4—131no—
1085C23×C4—131no—
1086C23×C4—131no—
1087C23×C4—131no—
1088C23×C4—131no—
1089C23×C4—131no—
1090C23×C4—131no—
1091C23×C4—131no—
1092C23×C4—131no—
1093C23×C4—264no—
1094C23×C4—522no—
1095C23×C4—522no—
1096C23×C4C22×D1311yescharacteristic
1097C23×C4C22×D1311yescharacteristic
1098#126—264no—
1099#126—264no—
1100#124—24no—
1101#124—264no—
1102#123—24no—
1103#123—264no—
1104#123—264no—
1105#123—264no—
1106#123—264no—
1107#123—264no—
1108#123—264no—
1109#123—264no—
1110#123—264no—
1111#123—264no—
1112#123—522no—
1113#123—522no—
1114C22⋊Q8—42no—
1115C22⋊Q8—264no—
1116C22⋊Q8—522no—
1117#121—42no—
1118#121—264no—
1119#121—264no—
1120#121—264no—
1121#121—522no—
1122#121—522no—
1123#121—522no—
1124#121—522no—
1125#121—522no—
1126#120—264no—
1127#120—264no—
1128#120—522no—
1129#120—522no—
1130C4×D4—264no—
1131C4×D4—264no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4—131no—
1141C2×C4⋊C4—131no—
1142C2×C4⋊C4—131no—
1143C2×C4⋊C4—131no—
1144C2×C4⋊C4—131no—
1145C2×C4⋊C4—131no—
1146C2×C4⋊C4—131no—
1147C2×C4⋊C4—131no—
1148C2×C4⋊C4—131no—
1149C2×C4⋊C4—131no—
1150C2×C4⋊C4—131no—
1151C2×C4⋊C4—131no—
1152C2×C4⋊C4—131no—
1153C2×C4⋊C4—131no—
1154C2×C4⋊C4—131no—
1155C2×C4⋊C4—131no—
1156C2×C4⋊C4—131no—
1157C2×C4⋊C4—264no—
1158C2×C4⋊C4—264no—
1159C2×C4⋊C4C22×D1311yescharacteristic
1160C2×C4⋊C4C22×D1311yescharacteristic
1161C2×C4⋊C4C22×D1311yescharacteristic
1162C2×C4⋊C4C22×D1311yescharacteristic
1163C2×C4⋊C4C22×D1311yescharacteristic
1164C2×C4⋊C4C22×D1311yescharacteristic
1165C2×C4⋊C4C22×D1311yescharacteristic
1166C2×C4⋊C4C22×D1311yescharacteristic
1167C2×C4⋊C4C22×D1311yescharacteristic
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—138no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—131no—
1192C2×C22⋊C4—131no—
1193C2×C22⋊C4—131no—
1194C2×C22⋊C4—131no—
1195C2×C22⋊C4—131no—
1196C2×C22⋊C4—131no—
1197C2×C22⋊C4—131no—
1198C2×C22⋊C4—131no—
1199C2×C22⋊C4—131no—
1200C2×C22⋊C4—131no—
1201C2×C22⋊C4—131no—
1202C2×C22⋊C4—131no—
1203C2×C22⋊C4—131no—
1204C2×C22⋊C4—131no—
1205C2×C22⋊C4—131no—
1206C2×C22⋊C4—131no—
1207C2×C22⋊C4—131no—
1208C2×C22⋊C4—131no—
1209C2×C22⋊C4—131no—
1210C2×C22⋊C4—264no—
1211C2×C22⋊C4—264no—
1212C2×C22⋊C4—522no—
1213C2×C22⋊C4—522no—
1214C2×C22⋊C4C22×D1311yescharacteristic
1215C2×C22⋊C4C22×D1311yescharacteristic
1216C2×C22⋊C4C22×D1311yescharacteristic
1217C2×C22⋊C4C22×D1311yescharacteristic
1218C2×C22⋊C4C22×D1311yescharacteristic
1219C2×C22⋊C4C22×D1311yescharacteristic
1220C2×C22⋊C4C22×D1311yescharacteristic
1221C2×C22⋊C4C22×D1311yescharacteristic
1222C2×C22⋊C4C22×D1311yescharacteristic
1223C2×C22⋊C4C22×D1311yescharacteristic
1224C2×C22⋊C4C22×D1311yescharacteristic
1225C2×C22⋊C4C22×D1311yescharacteristic
1226C2×C22⋊C4C22×D1311yescharacteristic
1227C2×C42—131no—
1228C2×C42C22×D1311yescharacteristic
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95—131no—
1244#95—131no—
1245#95—131no—
1246#95—131no—
1247#95—131no—
1248#95—131no—
1249#95—131no—
1250#95—131no—
1251#95—131no—
1252#95—131no—
1253#95—131no—
1254#95—131no—
1255#95C22×D1311yescharacteristic
1256#95C22×D1311yescharacteristic
1257#95C22×D1311yescharacteristic
1258#95C22×D1311yescharacteristic
1259#95C22×D1311yescharacteristic
1260#95C22×D1311yescharacteristic
1261C2×C13—42no—
1262C2×C13—42no—
1263C2×C13—81no—
1264C2×C13C2×#53711yescharacteristic
1265C2×C13#348411yescharacteristic
1266C2×C13#348511yescharacteristic
1267C2×C13#353411yescharacteristic
1268C2×C13#353411yescharacteristic
1269C2×C13#353511yescharacteristic
1270C2×C13#353511yescharacteristic
1271D13—24no—
1272D13—42no—
1273D13—42no—
1274D13—81no—
1275C24—131no—
1276C24—131no—
1277C24—131no—
1278C24—134no—
1279C24—131no—
1280C24—262no—
1281C24—262no—
1282C24—262no—
1283C24—262no—
1284C24—262no—
1285C24—262no—
1286C24—262no—
1287C24—521no—
1288C24—521no—
1289C24—521no—
1290C24—521no—
1291C24—521no—
1292C24—521no—
1293C24C23×D1311yescharacteristic
1294C24C23×D1311yescharacteristic
1295C24C23×D1311yescharacteristic
1296C2×Q8—22no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—262no—
1309C2×D4—262no—
1310C2×D4—262no—
1311C2×D4—262no—
1312C2×D4—262no—
1313C2×D4—262no—
1314C2×D4—262no—
1315C2×D4—262no—
1316C2×D4—262no—
1317C2×D4—262no—
1318C2×D4—262no—
1319C2×D4—262no—
1320C2×D4—262no—
1321C2×D4—262no—
1322C2×D4—262no—
1323C2×D4—262no—
1324C2×D4—262no—
1325C2×D4—262no—
1326C2×D4—262no—
1327C2×D4—521no—
1328C2×D4—521no—
1329C2×D4—521no—
1330C2×D4—521no—
1331C2×D4—521no—
1332C2×D4—521no—
1333C2×D4—521no—
1334C2×D4—521no—
1335C2×D4—521no—
1336C2×D4—521no—
1337C2×D4—521no—
1338C2×D4—521no—
1339C2×D4—521no—
1340C2×D4—521no—
1341C2×D4—521no—
1342C2×D4—521no—
1343C2×D4—521no—
1344C2×D4—5216no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—131no—
1352C22×C4—131no—
1353C22×C4—134no—
1354C22×C4—134no—
1355C22×C4—131no—
1356C22×C4—131no—
1357C22×C4—131no—
1358C22×C4—131no—
1359C22×C4—131no—
1360C22×C4—131no—
1361C22×C4—131no—
1362C22×C4—131no—
1363C22×C4—131no—
1364C22×C4—131no—
1365C22×C4—262no—
1366C22×C4—262no—
1367C22×C4—262no—
1368C22×C4—262no—
1369C22×C4—262no—
1370C22×C4—262no—
1371C22×C4—262no—
1372C22×C4—262no—
1373C22×C4—262no—
1374C22×C4—262no—
1375C22×C4—262no—
1376C22×C4—262no—
1377C22×C4—262no—
1378C22×C4—521no—
1379C22×C4—521no—
1380C22×C4—521no—
1381C22×C4—521no—
1382C22×C4—521no—
1383C22×C4—521no—
1384C22×C4—521no—
1385C22×C4—521no—
1386C22×C4—521no—
1387C22×C4—521no—
1388C22×C4—521no—
1389C22×C4—521no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—521no—
1395C22×C4—521no—
1396C22×C4—5216no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—521no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4C23×D1311yescharacteristic
1404C22×C4C23×D1311yescharacteristic
1405C22×C4C23×D1311yescharacteristic
1406C22×C4C23×D1311yescharacteristic
1407C22×C4C23×D1311yescharacteristic
1408C22×C4C23×D1311yescharacteristic
1409C22×C4C23×D1311yescharacteristic
1410C22×C4C23×D1311yescharacteristic
1411C22×C4C23×D1311yescharacteristic
1412C22×C4C23×D1311yescharacteristic
1413C22×C4C23×D1311yescharacteristic
1414C22×C4C23×D1311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—262no—
1425C4⋊C4—262no—
1426C4⋊C4—262no—
1427C4⋊C4—262no—
1428C4⋊C4—262no—
1429C4⋊C4—262no—
1430C4⋊C4—262no—
1431C4⋊C4—262no—
1432C4⋊C4—262no—
1433C4⋊C4—262no—
1434C4⋊C4—262no—
1435C4⋊C4—262no—
1436C4⋊C4—521no—
1437C4⋊C4—521no—
1438C4⋊C4—521no—
1439C4⋊C4—521no—
1440C4⋊C4—521no—
1441C4⋊C4—521no—
1442C4⋊C4—521no—
1443C4⋊C4—521no—
1444C4⋊C4—521no—
1445C4⋊C4—521no—
1446C4⋊C4—521no—
1447C4⋊C4—521no—
1448C4⋊C4—521no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—134no—
1462C22⋊C4—134no—
1463C22⋊C4—134no—
1464C22⋊C4—262no—
1465C22⋊C4—262no—
1466C22⋊C4—262no—
1467C22⋊C4—262no—
1468C22⋊C4—262no—
1469C22⋊C4—262no—
1470C22⋊C4—262no—
1471C22⋊C4—262no—
1472C22⋊C4—262no—
1473C22⋊C4—262no—
1474C22⋊C4—262no—
1475C22⋊C4—262no—
1476C22⋊C4—262no—
1477C22⋊C4—262no—
1478C22⋊C4—262no—
1479C22⋊C4—262no—
1480C22⋊C4—262no—
1481C22⋊C4—262no—
1482C22⋊C4—262no—
1483C22⋊C4—521no—
1484C22⋊C4—521no—
1485C22⋊C4—521no—
1486C22⋊C4—521no—
1487C22⋊C4—521no—
1488C22⋊C4—521no—
1489C22⋊C4—521no—
1490C22⋊C4—521no—
1491C22⋊C4—521no—
1492C22⋊C4—521no—
1493C22⋊C4—521no—
1494C22⋊C4—521no—
1495C22⋊C4—521no—
1496C22⋊C4—521no—
1497C22⋊C4—521no—
1498C22⋊C4—521no—
1499C22⋊C4—521no—
1500C22⋊C4—521no—
1501C22⋊C4—521no—
1502C22⋊C4D4×D1314yes—
1503C42—22no—
1504C42—262no—
1505C13#3670911yescharacteristic, complemented, Sylow
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—132no—
1526C23—132no—
1527C23—132no—
1528C23—132no—
1529C23—132no—
1530C23—268no—
1531C23—268no—
1532C23—261no—
1533C23—261no—
1534C23—261no—
1535C23—261no—
1536C23—261no—
1537C23—261no—
1538C23—261no—
1539C23—261no—
1540C23—261no—
1541C23—261no—
1542C23—261no—
1543C23—261no—
1544C23—261no—
1545C23—261no—
1546C23—261no—
1547C23—261no—
1548C23—261no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—524no—
1556C23—524no—
1557C23—524no—
1558C23—524no—
1559C23—524no—
1560C23—524no—
1561C23—524no—
1562C23—524no—
1563C23—1042no—
1564C23—1042no—
1565C23—1042no—
1566C23—1042no—
1567C23C2×D4×D1312yes—
1568C23#8825112yes—
1569C23C24×D1311yescharacteristic
1570Q8—82no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—524no—
1575D4—524no—
1576D4—524no—
1577D4—524no—
1578D4—524no—
1579D4—1042no—
1580D4—1042no—
1581D4—1042no—
1582D4—1042no—
1583D4—1042no—
1584D4—1042no—
1585D4—1042no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—82no—
1622C2×C4—132no—
1623C2×C4—132no—
1624C2×C4—261no—
1625C2×C4—261no—
1626C2×C4—261no—
1627C2×C4—261no—
1628C2×C4—261no—
1629C2×C4—261no—
1630C2×C4—261no—
1631C2×C4—261no—
1632C2×C4—261no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—261no—
1653C2×C4—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—524no—
1659C2×C4—524no—
1660C2×C4—524no—
1661C2×C4—524no—
1662C2×C4—524no—
1663C2×C4—524no—
1664C2×C4—524no—
1665C2×C4—524no—
1666C2×C4—1042no—
1667C2×C4—1042no—
1668C2×C4—1042no—
1669C2×C4—1042no—
1670C2×C4—1042no—
1671C2×C4C2×D4×D1312yes—
1672C2×C4C2×D4×D1312yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—134no—
1695C22—262no—
1696C22—262no—
1697C22—262no—
1698C22—262no—
1699C22—262no—
1700C22—262no—
1701C22—262no—
1702C22—262no—
1703C22—262no—
1704C22—262no—
1705C22—262no—
1706C22—262no—
1707C22—5216no—
1708C22—521no—
1709C22—521no—
1710C22—521no—
1711C22—521no—
1712C22—521no—
1713C22—521no—
1714C22—521no—
1715C22—521no—
1716C22—521no—
1717C22—521no—
1718C22—521no—
1719C22—521no—
1720C22—521no—
1721C22—521no—
1722C22—521no—
1723C22—1048no—
1724C22C22×D4×D1311yescharacteristic
1725C22C2×#8825111yescharacteristic
1726C22#1171964811yescharacteristic
1727C22D13×H(5,𝔽2)11yescharacteristic
1728C22D13×H(5,𝔽2)11yescharacteristic
1729C22D13×2−1+411yescharacteristic
1730C22#1171965211yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—262no—
1744C4—262no—
1745C4—521no—
1746C4—521no—
1747C4—521no—
1748C4—521no—
1749C4—521no—
1750C4—521no—
1751C4—521no—
1752C4—521no—
1753C4—521no—
1754C4—521no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—264no—
1759C2—522no—
1760C2—522no—
1761C2—1041no—
1762C2D13×#53711yescharacteristic
1763C2#1312846411yescharacteristic
1764C2#1312847511yescharacteristic
1765C2#1312901811yescharacteristic
1766C2#1312902811yescharacteristic
1767C2#1312903511yescharacteristic
1768C2#1312903811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2672C2
hypercenter#2672D13
hypocenterC13#36709
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#11719383C2semidirect
2. C2×D13×#123C2semidirect
3. #13123120C2semidirect
4. #13123117C2semidirect
5. #13121374C2semidirect
6. #13121372C2semidirect
7. #13121370C2semidirect
8. #13121368C2semidirect
9. #13121348C2semidirect
10. #13121347C2semidirect
11. #13121343C2semidirect
12. #13121341C2semidirect
13. #13121086C2semidirect
14. #13121083C2semidirect
15. #13121082C2semidirect
16. #13121078C2semidirect
17. #13121077C2semidirect
18. #13121066C2semidirect
19. #13121065C2semidirect
20. #13120648C2semidirect
21. #13120583C2semidirect
22. #13119730C2semidirect
23. #13119721C2semidirect
24. #13119151C2semidirect
25. #13119146C2semidirect
26. #13118229C2semidirect
27. #13118227C2semidirect
28. #13118207C2semidirect
29. #13118205C2semidirect
30. #13117447C2semidirect
31. C13×#2672C2semidirect
34. C2×C13×#124C22semidirect
36. C2×C13×C22⋊Q8C22semidirect
38. C2×#88201C22semidirect
40. C2×#88200C22semidirect
42. C2×#88193C22semidirect
43. C2×#88193C22semidirect
58. C2×#88140C22semidirect
61. C2×#88138C22semidirect
62. C2×#88138C22semidirect
66. C2×#88137C22semidirect
74. C2×#88133C22semidirect
75. C2×#88130C22semidirect
77. C13×#399C22semidirect
78. C13×#396C22semidirect
79. C13×#395C22semidirect
81. C13×#394C22semidirect
82. C13×#394C22semidirect
83. C13×#389C22semidirect
84. C13×#388C22semidirect
85. C13×#386C22semidirect
86. C13×#385C22semidirect
87. C13×#380C22semidirect
88. #11718890C22semidirect
91. #11718883C22semidirect
93. #11718881C22semidirect
95. #11718874C22semidirect
96. #11718874C22semidirect
97. #11718873C22semidirect
98. #11718871C22semidirect
99. #11718655C22semidirect
100. #11718655C22semidirect
101. #11718655C22semidirect
102. #11718655C22semidirect
103. #11718654C22semidirect
104. #11718653C22semidirect
105. #11718653C22semidirect
107. #11718652C22semidirect
112. #11718650C22semidirect
113. #11718650C22semidirect
114. #11718650C22semidirect
115. #11718650C22semidirect
118. #11718648C22semidirect
119. #11718648C22semidirect
120. #11718648C22semidirect
121. #11718648C22semidirect
122. #11718647C22semidirect
123. #11718645C22semidirect
124. #11718643C22semidirect
125. #11718641C22semidirect
126. #11718641C22semidirect
127. #11718633C22semidirect
128. #11718633C22semidirect
129. #11718622C22semidirect
130. #11718622C22semidirect
135. #11718620C22semidirect
136. #11718620C22semidirect
137. #11718619C22semidirect
138. #11718619C22semidirect
142. #11718617C22semidirect
143. #11718617C22semidirect
144. #11718617C22semidirect
145. #11718617C22semidirect
148. #11718614C22semidirect
149. #11718613C22semidirect
150. #11718612C22semidirect
151. #11718611C22semidirect
152. #11718610C22semidirect
153. #11718609C22semidirect
154. #11718609C22semidirect
155. #11718609C22semidirect
156. #11718607C22semidirect
157. #11718607C22semidirect
158. #11718607C22semidirect
159. #11718603C22semidirect
160. #11718603C22semidirect
161. #11718603C22semidirect
162. #11718603C22semidirect
163. #11718601C22semidirect
164. #11718589C22semidirect
165. #11718336C22semidirect
166. #11718333C22semidirect
167. #11718333C22semidirect
168. #11718330C22semidirect
169. #11718329C22semidirect
170. #11718329C22semidirect
173. #11718328C22semidirect
174. #11718328C22semidirect
178. #11718326C22semidirect
179. #11718326C22semidirect
182. #11718321C22semidirect
183. #11718321C22semidirect
184. #11718320C22semidirect
185. #11718320C22semidirect
186. #11718318C22semidirect
187. #11718318C22semidirect
188. #11718318C22semidirect
355. C22⋊C4×D13D4semidirect
637. #2672D13semidirect
826. C2×#124C2×D13semidirect
842. C2×C22⋊Q8C2×D13semidirect
874. #399C2×D13semidirect
892. #396C2×D13semidirect
894. #395C2×D13semidirect
907. #394C2×D13semidirect
908. #394C2×D13semidirect
916. #389C2×D13semidirect
920. #388C2×D13semidirect
940. #386C2×D13semidirect
956. #385C2×D13semidirect
974. #380C2×D13semidirect
1505. C13#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#117193832
C2×D13×#1232
#131231202
#131231172
#131213742
#131213722
#131213702
#131213682
#131213482
#131213472
#131213432
#131213412
#131210862
#131210832
#131210822
#131210782
#131210772
#131210662
#131210652
#131206482
#131205832
#131197302
#131197212
#131191512
#131191462
#131182292
#131182272
#131182072
#131182052
#131174472
C13×#26722
#3670913