Finite Group Databasebeta

← #16031092

Subgroups — #16031092

Order 3328.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719411C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119086C211yesmaximal, characteristic, complemented
4#13119078C211yesmaximal, characteristic, complemented
5#13118902C211yesmaximal, characteristic, complemented
6#13118745C211yesmaximal, characteristic, complemented
7#13118737C211yesmaximal, characteristic, complemented
8#13118705C211yesmaximal, characteristic, complemented
9#13118620C211yesmaximal, characteristic, complemented
10#13118555C211yesmaximal, characteristic, complemented
11#13118482C211yesmaximal, characteristic, complemented
12#13118412C211yesmaximal, characteristic, complemented
13#13118327C211yesmaximal, characteristic, complemented
14#13118305C211yesmaximal, characteristic, complemented
15#13118303C211yesmaximal, characteristic, complemented
16#13118282C211yesmaximal, characteristic, complemented
17#13118187C211yesmaximal, characteristic
18#13118100C211yesmaximal, characteristic, complemented
19#13118092C211yesmaximal, characteristic, complemented
20#13118079C211yesmaximal, characteristic, complemented
21#13118077C211yesmaximal, characteristic, complemented
22#13117377C211yesmaximal, characteristic, complemented
23#13117370C211yesmaximal, characteristic, complemented
24#13117348C211yesmaximal, characteristic, complemented
25#13117337C211yesmaximal, characteristic, complemented
26#13117337C211yesmaximal, characteristic, complemented
27#13117296C211yesmaximal, characteristic, complemented
28#13117218C211yesmaximal, characteristic, complemented
29#13117216C211yesmaximal, characteristic, complemented
30C4×#88147C211yesmaximal, characteristic, complemented
31C13×#2468C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic, complemented
36C2×C4×D4×C13C2211yescharacteristic
37C2×D4×Dic13C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40#11719411—28no—
41C4×D4×D13—28no—
42C2×#88150C2211yescharacteristic
43C2×#88150C2211yescharacteristic, complemented
44C2×#88148C2211yescharacteristic, complemented
45C2×#88147C2211yescharacteristic
46C2×#88147C2211yescharacteristic
47C2×#88147C2211yescharacteristic
48C2×#88147C2211yescharacteristic, complemented
49C2×#88147C2211yescharacteristic, complemented
50C2×#88146C2211yescharacteristic, complemented
51C2×#88146C2211yescharacteristic, complemented
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×#88143C2211yescharacteristic, complemented
54C2×#88141C2211yescharacteristic, complemented
55C2×#88139C2211yescharacteristic
56C2×#88139C2211yescharacteristic
57C2×#88138C2211yescharacteristic
58C2×#88138C2211yescharacteristic
59C2×#88137C2211yescharacteristic, complemented
60C2×#88136C2211yescharacteristic
61C2×#88136C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic
64C2×#88135C2211yescharacteristic, complemented
65C2×#88135C2211yescharacteristic, complemented
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×#88131C2211yescharacteristic, complemented
69C2×#88131C2211yescharacteristic, complemented
70C2×#88130C2211yescharacteristic, complemented
71C2×C4×D52C2211yescharacteristic
72C2×C4×D52C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic, complemented
75C13×#398C2211yescharacteristic, complemented
76C13×#398C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic
78C13×#394C2211yescharacteristic
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#388C2211yescharacteristic, complemented
82C13×#387C2211yescharacteristic, complemented
83C13×#385C2211yescharacteristic, complemented
84C13×#385C2211yescharacteristic, complemented
85C13×#381C2211yescharacteristic, complemented
86C13×#380C2211yescharacteristic, complemented
87C4×C13×C4⋊C4C2211yescharacteristic, complemented
88#11718884C2211yescharacteristic
89#11718883C2211yescharacteristic
90#11718874C2211yescharacteristic, complemented
91#11718874C2211yescharacteristic, complemented
92#11718873C2211yescharacteristic, complemented
93#11718872C2211yescharacteristic, complemented
94#11718655C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic, complemented
98#11718654C2211yescharacteristic, complemented
99#11718652C2211yescharacteristic
100#11718652C2211yescharacteristic
101#11718652C2211yescharacteristic, complemented
102#11718651C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic
104#11718650C2211yescharacteristic
105#11718650C2211yescharacteristic
106#11718650C2211yescharacteristic, complemented
107#11718650C2211yescharacteristic, complemented
108#11718648C2211yescharacteristic
109#11718648C2211yescharacteristic
110#11718647C2211yescharacteristic, complemented
111#11718645C2211yescharacteristic, complemented
112C4⋊C4×Dic13C2211yescharacteristic, complemented
113C4⋊C4×Dic13C2211yescharacteristic, complemented
114C4⋊C4×Dic13C2211yescharacteristic, complemented
115#11718633C2211yescharacteristic, complemented
116#11718633C2211yescharacteristic, complemented
117#11718622C2211yescharacteristic, complemented
118#11718620C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic
120#11718618C2211yescharacteristic
121#11718618C2211yescharacteristic
122#11718618C2211yescharacteristic
123#11718617C2211yescharacteristic, complemented
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718616C2211yescharacteristic
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718614C2211yescharacteristic, complemented
131#11718613C2211yescharacteristic, complemented
132#11718613C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718610C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718606C2211yescharacteristic, complemented
138C22⋊C4×Dic13C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic, complemented
140C22⋊C4×Dic13C2211yescharacteristic, complemented
141C22⋊C4×Dic13C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic, complemented
144#11718601C2211yescharacteristic, complemented
145C4×#6103C2211yescharacteristic
146C4×#6103C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148C42×Dic13C2211yescharacteristic, complemented
149#11718338C2211yescharacteristic, complemented
150#11718335C2211yescharacteristic, complemented
151#11718335C2211yescharacteristic, complemented
152#11718333C2211yescharacteristic
153#11718333C2211yescharacteristic, complemented
154#11718332C2211yescharacteristic
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic
157#11718328C2211yescharacteristic
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic, complemented
161#11718328C2211yescharacteristic, complemented
162#11718328C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718327C2211yescharacteristic, complemented
172#11718327C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic, complemented
176#11718326C2211yescharacteristic, complemented
177#11718326C2211yescharacteristic, complemented
178#11718325C2211yescharacteristic, complemented
179#11718325C2211yescharacteristic, complemented
180#11718321C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718311C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C2×D4×D13—24no—
201C2×D4×D13—24no—
202C2×D4×D13—24no—
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—42no—
212C22×C4×D13—42no—
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
225C22×Dic26C2311yescharacteristic
226C13×#126—24no—
227C4×D4×C13—24no—
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×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×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258D4×Dic13—24no—
259C4×C22⋊D13—24no—
260C4×C22⋊D13—24no—
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#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×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326#88150—24no—
327#88150—24no—
328#88148—24no—
329#88147—24no—
330#88147—24no—
331#88147—24no—
332#88147—24no—
333#88147—42no—
334#88146—24no—
335#88146—42no—
336C4⋊C4×D13—24no—
337#88143—24no—
338#88141—24no—
339#88139—24no—
340#88139—24no—
341#88138—24no—
342#88138—24no—
343#88137—24no—
344#88136—24no—
345#88136—24no—
346#88135—24no—
347#88135—24no—
348#88135—42no—
349#88135D418yescomplemented
350C22⋊C4×D13—24no—
351C22⋊C4×D13—24no—
352#88131—24no—
353#88131—42no—
354#88130—24no—
355C4×D52—24no—
356C4×D52—24no—
357C42×D13—24no—
358C42×D13—24no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
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#34700—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—41no—
420C22×C4×C13—41no—
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13C2×D414yes—
445C2×C22⋊D13#4114yes—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13C2×D414yes—
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464D4×D13—232no—
465C2×D52—22no—
466C2×D52—22no—
467C2×D52—22no—
468C2×D52—22no—
469C2×D52—22no—
470C2×D52—22no—
471C2×D52—22no—
472C2×D52—22no—
473C2×D52—22no—
474C2×D52—41no—
475C2×D52—41no—
476C2×D52#4114yes—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—416no—
505C2×C4×D13—416no—
506C2×C4×D13—41no—
507C2×C4×D13—41no—
508C2×C4×D13—41no—
509C2×C4×D13—41no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13C2×D414yes—
513C2×C4×D13#4114yes—
514C2×C4×D13#4114yes—
515C2×Dic26—22no—
516C2×Dic26—22no—
517C2×Dic26—22no—
518C13×C4⋊C4—22no—
519C13×C4⋊C4—22no—
520C13×C4⋊C4—22no—
521C13×C4⋊C4—22no—
522C13×C4⋊C4—22no—
523C13×C4⋊C4—22no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—41no—
526C13×C4⋊C4—41no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4C2×D414yes—
537C42×C13—22no—
538C42×C13—22no—
539C42×C13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—41no—
545C22⋊Dic13—41no—
546C22⋊Dic13—41no—
547C22⋊Dic13—41no—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—41no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103C2×D414yes—
580C4⋊Dic13—22no—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—41no—
584C4⋊Dic13—41no—
585#6101—22no—
586#6101—22no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—41no—
595#6101—41no—
596#6101—41no—
597#6101—41no—
598#6101C2×D414yes—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13C2×D414yes—
613C2×#529—131no—
614C22×C4×D4—131no—
615#2480—131no—
616#2480—131no—
617#2468—131no—
618#2468D1311yescharacteristic, complemented
619#2457—131no—
620#2457—131no—
621#2454—131no—
622#2447—131no—
623#2442—131no—
624#2435—131no—
625#2427—131no—
626#2420—131no—
627#2418—131no—
628#2418—131no—
629#2417—131no—
630#2408—131no—
631#2395—131no—
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×#124—131no—
636C4×C22⋊Q8—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2293—131no—
641#2280—131no—
642#2280—131no—
643C42×D4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13C22×D412yes—
657C23×C13C2×#4112yes—
658C23×C13C2511yescharacteristic
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—28no—
664C22×D13—28no—
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—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
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×D13—44no—
695C22×D13C22×D412yes—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701D4×C13—28no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—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—44no—
737C2×C4×C13—44no—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C2×C4×C13C2×#4112yes—
741C2×C4×C13C2×#4112yes—
742C2×C4×C13C2×#4112yes—
743C22⋊D13—28no—
744C22⋊D13—28no—
745C22⋊D13—44no—
746C22⋊D13—44no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—28no—
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—44no—
778C2×Dic13C22×D412yes—
779C2×Dic13C22×D412yes—
780C2×Dic13C22×D412yes—
781C2×Dic13C2×#4112yes—
782C2×Dic13C2×#4112yes—
783C2×Dic13C2×#4112yes—
784C2×Dic13H(5,𝔽2)12yes—
785D52—28no—
786D52—28no—
787D52—44no—
788D52—44no—
789C4×D13—28no—
790C4×D13—28no—
791C4×D13—28no—
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—
801Dic26—44no—
802C23×D4—131no—
803C24×C4—131no—
804C24×C4—131no—
805#529—268no—
806C2×#126—131no—
807C2×#126C2×D1311yescharacteristic, complemented
808C2×#125—131no—
809C2×#124—131no—
810C2×#124—131no—
811C2×#123—131no—
812C2×#123—131no—
813C2×C22⋊Q8—131no—
814C2×C22⋊Q8—131no—
815C2×#121—131no—
816C2×#121—131no—
817C2×#120—131no—
818C2×#120—131no—
819C2×C4×Q8—131no—
820C2×C4×D4—131no—
821C2×C4×D4—131no—
822C2×C4×D4—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—268no—
835C2×C4×D4C2×D1311yescharacteristic
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C2×#117—131no—
840C22×C4⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C42—131no—
844C22×C42—131no—
845#400—131no—
846#400—131no—
847#399—131no—
848#399—131no—
849#398—131no—
850#398—131no—
851#398C2×D1311yescharacteristic, complemented
852#398C2×D1311yescharacteristic, complemented
853#397—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—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#394C2×D1311yescharacteristic
874#394C2×D1311yescharacteristic
875#392—131no—
876#392—131no—
877#391—131no—
878#391—131no—
879#390—131no—
880#390—131no—
881#390—131no—
882#390—131no—
883#389—131no—
884#389—131no—
885#389—131no—
886#389—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388C2×D1311yescharacteristic, complemented
895#388C2×D1311yescharacteristic, complemented
896#388C2×D1311yescharacteristic, complemented
897#387—131no—
898#387C2×D1311yescharacteristic, complemented
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385—131no—
912#385—131no—
913#385C2×D1311yescharacteristic, complemented
914#385C2×D1311yescharacteristic, complemented
915#382—131no—
916#381—131no—
917#381—131no—
918#381—131no—
919#381C2×D1311yescharacteristic, complemented
920#380—131no—
921#380—131no—
922#380—131no—
923#380—131no—
924#380—131no—
925#380—131no—
926#380—131no—
927#380—131no—
928#380—131no—
929#380C2×D1311yescharacteristic, complemented
930#379—131no—
931#379—131no—
932#379—131no—
933#379—131no—
934#379—131no—
935#379—131no—
936C4×C4⋊C4—131no—
937C4×C4⋊C4—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4C2×D1311yescharacteristic, complemented
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958C43—131no—
959C22×C13—22no—
960C22×C13—22no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
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×C13C23×D411yescharacteristic
974C22×C13C22×#4111yescharacteristic
975C22×C13C22×#4111yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C2×H(5,𝔽2)11yescharacteristic
979C22×C13#58511yescharacteristic
980C2×D13—22no—
981C2×D13—22no—
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—22no—
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—416no—
996C2×D13—416no—
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—41no—
1008C2×D13—41no—
1009C2×D13#52914yescomplemented
1010C4×C13—22no—
1011C4×C13—22no—
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023Dic13—22no—
1024Dic13—41no—
1025Dic13—41no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13#52514yes—
1034Dic13#54614yes—
1035C25—131no—
1036C25—131no—
1037C22×Q8—131no—
1038C22×D4—131no—
1039C22×D4—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—264no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—522no—
1069C23×C4—522no—
1070C23×C4C22×D1311yescharacteristic
1071C23×C4C22×D1311yescharacteristic
1072#126—24no—
1073#126—264no—
1074#125—264no—
1075#124—264no—
1076#124—264no—
1077#123—264no—
1078#123—264no—
1079C22⋊Q8—264no—
1080C22⋊Q8—264no—
1081#121—264no—
1082#121—264no—
1083#120—264no—
1084#120—264no—
1085C4×Q8—264no—
1086C4×D4—24no—
1087C4×D4—138no—
1088C4×D4—264no—
1089C4×D4—264no—
1090C4×D4—264no—
1091C4×D4—264no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—522no—
1100C4×D4—522no—
1101#117—264no—
1102#117—264no—
1103#117—522no—
1104#117—522no—
1105C2×C4⋊C4—131no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—264no—
1125C2×C4⋊C4C22×D1311yescharacteristic
1126C2×C4⋊C4C22×D1311yescharacteristic
1127C2×C4⋊C4C22×D1311yescharacteristic
1128C2×C4⋊C4C22×D1311yescharacteristic
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—264no—
1175C2×C22⋊C4—264no—
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C22⋊C4C22×D1311yescharacteristic
1179C2×C22⋊C4C22×D1311yescharacteristic
1180C2×C22⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4C22×D1311yescharacteristic
1182C2×C22⋊C4C22×D1311yescharacteristic
1183C2×C22⋊C4C22×D1311yescharacteristic
1184C2×C22⋊C4C22×D1311yescharacteristic
1185C2×C22⋊C4C22×D1311yescharacteristic
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—131no—
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—131no—
1200C2×C42—264no—
1201C2×C42—264no—
1202C2×C42C22×D1311yescharacteristic
1203C2×C42C22×D1311yescharacteristic
1204C2×C42C22×D1311yescharacteristic
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#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95C22×D1311yescharacteristic
1228#95C22×D1311yescharacteristic
1229#95C22×D1311yescharacteristic
1230#95C22×D1311yescharacteristic
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237C2×C13—42no—
1238C2×C13—42no—
1239C2×C13C2×#52511yescharacteristic
1240C2×C13C2×#52911yescharacteristic
1241C2×C13#346011yescharacteristic
1242C2×C13C2×#54611yescharacteristic
1243C2×C13D4×#4111yescharacteristic
1244C2×C13#347511yescharacteristic
1245C2×C13#348111yescharacteristic
1246D13—24no—
1247D13—42no—
1248D13—42no—
1249D13—42no—
1250C24—131no—
1251C24—131no—
1252C24—131no—
1253C24—131no—
1254C24—262no—
1255C24—262no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—521no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C2×Q8—262no—
1271C2×Q8—262no—
1272C2×Q8—262no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—134no—
1277C2×D4—134no—
1278C2×D4—134no—
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—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—2632no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—131no—
1308C22×C4—131no—
1309C22×C4—134no—
1310C22×C4—131no—
1311C22×C4—134no—
1312C22×C4—134no—
1313C22×C4—134no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—262no—
1324C22×C4—262no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—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—521no—
1356C22×C4—521no—
1357C22×C4—521no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—5216no—
1362C22×C4—5216no—
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1311yescharacteristic
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370C22×C4C23×D1311yescharacteristic
1371C22×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—134no—
1386C4⋊C4—262no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—521no—
1399C4⋊C4—521no—
1400C4⋊C4—521no—
1401C4⋊C4—521no—
1402C4⋊C4—521no—
1403C4⋊C4—521no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—134no—
1414C22⋊C4—262no—
1415C22⋊C4—262no—
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—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
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⋊C4D4×D1314yes—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—134no—
1458C42—262no—
1459C42—262no—
1460C42—262no—
1461C42—262no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—521no—
1471C13#3470011yescharacteristic, complemented, Sylow
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—132no—
1485C23—132no—
1486C23—132no—
1487C23—132no—
1488C23—132no—
1489C23—132no—
1490C23—268no—
1491C23—268no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—261no—
1496C23—261no—
1497C23—261no—
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—524no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23C2×D4×D1312yes—
1527C23#41×D1312yes—
1528C23C24×D1311yescharacteristic
1529Q8—524no—
1530D4—28no—
1531D4—268no—
1532D4—268no—
1533D4—268no—
1534D4—268no—
1535D4—524no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
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—44no—
1574C2×C4—44no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—132no—
1581C2×C4—132no—
1582C2×C4—268no—
1583C2×C4—268no—
1584C2×C4—268no—
1585C2×C4—268no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
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—524no—
1616C2×C4—524no—
1617C2×C4—524no—
1618C2×C4—524no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4C2×D4×D1312yes—
1626C2×C4C2×D4×D1312yes—
1627C2×C4#41×D1312yes—
1628C2×C4#41×D1312yes—
1629C2×C4#41×D1312yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—134no—
1645C22—262no—
1646C22—262no—
1647C22—262no—
1648C22—262no—
1649C22—262no—
1650C22—262no—
1651C22—262no—
1652C22—262no—
1653C22—262no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—5216no—
1661C22—5216no—
1662C22—521no—
1663C22—521no—
1664C22—521no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22C22×D4×D1311yescharacteristic
1675C22C2×#41×D1311yescharacteristic
1676C22C2×#41×D1311yescharacteristic
1677C22C2×#41×D1311yescharacteristic
1678C22C2×#41×D1311yescharacteristic
1679C22D13×H(5,𝔽2)11yescharacteristic
1680C22#1171965211yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—134no—
1695C4—134no—
1696C4—262no—
1697C4—521no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C2—42no—
1707C2—42no—
1708C2—264no—
1709C2—522no—
1710C2—522no—
1711C2—522no—
1712C2D13×#52511yescharacteristic
1713C2D13×#52911yescharacteristic
1714C2#1312825611yescharacteristic
1715C2D13×#54611yescharacteristic
1716C2#1312832311yescharacteristic
1717C2#1312838911yescharacteristic
1718C2#1312844311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2468C2
prime radical#13118187C2
hypercenter#2468D13
hypocenterC13#34700
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C2×#11719411C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119086C2semidirect
4. #13119078C2semidirect
5. #13118902C2semidirect
6. #13118745C2semidirect
7. #13118737C2semidirect
8. #13118705C2semidirect
9. #13118620C2semidirect
10. #13118555C2semidirect
11. #13118482C2semidirect
12. #13118412C2semidirect
13. #13118327C2semidirect
14. #13118305C2semidirect
15. #13118303C2semidirect
16. #13118282C2semidirect
18. #13118100C2semidirect
19. #13118092C2semidirect
20. #13118079C2semidirect
21. #13118077C2semidirect
22. #13117377C2semidirect
23. #13117370C2semidirect
24. #13117348C2semidirect
25. #13117337C2semidirect
26. #13117337C2semidirect
27. #13117296C2semidirect
28. #13117218C2semidirect
29. #13117216C2semidirect
30. C4×#88147C2semidirect
31. C13×#2468C2semidirect
35. C2×C13×#126C22semidirect
43. C2×#88150C22semidirect
44. C2×#88148C22semidirect
48. C2×#88147C22semidirect
49. C2×#88147C22semidirect
50. C2×#88146C22semidirect
51. C2×#88146C22semidirect
53. C2×#88143C22semidirect
54. C2×#88141C22semidirect
59. C2×#88137C22semidirect
64. C2×#88135C22semidirect
65. C2×#88135C22semidirect
68. C2×#88131C22semidirect
69. C2×#88131C22semidirect
70. C2×#88130C22semidirect
74. C2×C42×D13C22semidirect
75. C13×#398C22semidirect
76. C13×#398C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#388C22semidirect
82. C13×#387C22semidirect
83. C13×#385C22semidirect
84. C13×#385C22semidirect
85. C13×#381C22semidirect
86. C13×#380C22semidirect
87. C4×C13×C4⋊C4C22semidirect
90. #11718874C22semidirect
91. #11718874C22semidirect
92. #11718873C22semidirect
93. #11718872C22semidirect
94. #11718655C22semidirect
95. #11718655C22semidirect
96. #11718655C22semidirect
97. #11718654C22semidirect
98. #11718654C22semidirect
101. #11718652C22semidirect
102. #11718651C22semidirect
106. #11718650C22semidirect
107. #11718650C22semidirect
110. #11718647C22semidirect
111. #11718645C22semidirect
112. C4⋊C4×Dic13C22semidirect
113. C4⋊C4×Dic13C22semidirect
114. C4⋊C4×Dic13C22semidirect
115. #11718633C22semidirect
116. #11718633C22semidirect
117. #11718622C22semidirect
118. #11718620C22semidirect
123. #11718617C22semidirect
130. #11718614C22semidirect
131. #11718613C22semidirect
132. #11718613C22semidirect
133. #11718613C22semidirect
134. #11718612C22semidirect
135. #11718610C22semidirect
136. #11718609C22semidirect
137. #11718606C22semidirect
138. C22⋊C4×Dic13C22semidirect
139. C22⋊C4×Dic13C22semidirect
140. C22⋊C4×Dic13C22semidirect
141. C22⋊C4×Dic13C22semidirect
142. #11718601C22semidirect
143. #11718601C22semidirect
144. #11718601C22semidirect
146. C4×#6103C22semidirect
147. #11718594C22semidirect
148. C42×Dic13C22semidirect
149. #11718338C22semidirect
150. #11718335C22semidirect
151. #11718335C22semidirect
153. #11718333C22semidirect
155. #11718330C22semidirect
160. #11718328C22semidirect
161. #11718328C22semidirect
162. #11718328C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718327C22semidirect
172. #11718327C22semidirect
175. #11718326C22semidirect
176. #11718326C22semidirect
177. #11718326C22semidirect
178. #11718325C22semidirect
179. #11718325C22semidirect
180. #11718321C22semidirect
181. #11718318C22semidirect
182. #11718311C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
349. #88135D4semidirect
618. #2468D13semidirect
807. C2×#126C2×D13semidirect
851. #398C2×D13semidirect
852. #398C2×D13semidirect
894. #388C2×D13semidirect
895. #388C2×D13semidirect
896. #388C2×D13semidirect
898. #387C2×D13semidirect
913. #385C2×D13semidirect
914. #385C2×D13semidirect
919. #381C2×D13semidirect
929. #380C2×D13semidirect
941. C4×C4⋊C4C2×D13semidirect
1009. C2×D13#529semidirect
1471. C13#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#117194112
C2×C4×D4×D132
#131190862
#131190782
#131189022
#131187452
#131187372
#131187052
#131186202
#131185552
#131184822
#131184122
#131183272
#131183052
#131183032
#131182822
#131181872
#131181002
#131180922
#131180792
#131180772
#131173772
#131173702
#131173482
#131173372
#131172962
#131172182
#131172162
C4×#881472
C13×#24682
#3470013