Finite Group Databasebeta

← #16030693

Subgroups — #16030693

Order 3328.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719411C211yesmaximal, characteristic, complemented
2C22×#88135C211yesmaximal, characteristic, complemented
3#13119097C211yesmaximal, characteristic, complemented
4#13118979C211yesmaximal, characteristic, complemented
5#13118956C211yesmaximal, characteristic, complemented
6#13118891C211yesmaximal, characteristic, complemented
7#13118868C211yesmaximal, characteristic, complemented
8#13118794C211yesmaximal, characteristic, complemented
9#13118771C211yesmaximal, characteristic, complemented
10#13118655C211yesmaximal, characteristic, complemented
11#13118581C211yesmaximal, characteristic, complemented
12#13118501C211yesmaximal, characteristic, complemented
13#13118390C211yesmaximal, characteristic, complemented
14#13118308C211yesmaximal, characteristic, complemented
15#13118229C211yesmaximal, characteristic, complemented
16#13118212C211yesmaximal, characteristic
17#13118161C211yesmaximal, characteristic, complemented
18#13118121C211yesmaximal, characteristic, complemented
19#13118094C211yesmaximal, characteristic, complemented
20#13118081C211yesmaximal, characteristic, complemented
21#13118073C211yesmaximal, characteristic, complemented
22#13117364C211yesmaximal, characteristic, complemented
23#13117363C211yesmaximal, characteristic, complemented
24#13117348C211yesmaximal, characteristic, complemented
25#13117337C211yesmaximal, characteristic, complemented
26#13117335C211yesmaximal, characteristic, complemented
27#13117278C211yesmaximal, characteristic, complemented
28#13117272C211yesmaximal, characteristic, complemented
29#13117214C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D13C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic, complemented
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C2×#88178C2211yescharacteristic
40C22×#6101C2211yescharacteristic
41C22×C4×Dic13C2211yescharacteristic
42#11719411—28no—
43C2×#88150C2211yescharacteristic, complemented
44C2×#88148C2211yescharacteristic, complemented
45C2×#88147C2211yescharacteristic, complemented
46C2×#88147C2211yescharacteristic, complemented
47C2×#88146C2211yescharacteristic, complemented
48C2×#88143C2211yescharacteristic, complemented
49C2×#88141C2211yescharacteristic, complemented
50C2×#88139C2211yescharacteristic, complemented
51C2×#88138C2211yescharacteristic
52C2×#88138C2211yescharacteristic
53C2×#88137C2211yescharacteristic
54C2×#88137C2211yescharacteristic
55C2×#88136C2211yescharacteristic
56C2×#88135—28no—
57C2×#88135C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
61C2×#88135C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic
64C2×#88135C2211yescharacteristic
65C2×#88135C2211yescharacteristic
66C2×#88135C2211yescharacteristic, complemented
67C2×#88135C2211yescharacteristic, complemented
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×#88131C2211yescharacteristic, complemented
71C2×#88131C2211yescharacteristic, complemented
72C2×#88130C2211yescharacteristic, complemented
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic, complemented
75C13×#397C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#397C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic, complemented
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#388C2211yescharacteristic, complemented
82C13×#385C2211yescharacteristic
83C13×#385C2211yescharacteristic
84C13×#380C2211yescharacteristic
85C13×#379C2211yescharacteristic
86C13×#379C2211yescharacteristic
87C4×C13×C22⋊C4C2211yescharacteristic
88#11718908C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92#11718655C2211yescharacteristic, complemented
93#11718654C2211yescharacteristic, complemented
94#11718653C2211yescharacteristic, complemented
95#11718652C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718650C2211yescharacteristic, complemented
98#11718650C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic, complemented
100#11718650C2211yescharacteristic, complemented
101#11718645C2211yescharacteristic, complemented
102#11718641C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104C4⋊C4×Dic13C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106#11718635C2211yescharacteristic, complemented
107#11718634C2211yescharacteristic, complemented
108#11718633C2211yescharacteristic, complemented
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic
111#11718622C2211yescharacteristic, complemented
112#11718621C2211yescharacteristic
113#11718621C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic
117#11718620C2211yescharacteristic
118#11718620C2211yescharacteristic, complemented
119#11718619C2211yescharacteristic
120#11718619C2211yescharacteristic
121#11718619C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic, complemented
123#11718618C2211yescharacteristic, complemented
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718613C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718611C2211yescharacteristic
132#11718608C2211yescharacteristic, complemented
133#11718607C2211yescharacteristic
134#11718607C2211yescharacteristic
135#11718607C2211yescharacteristic
136#11718607C2211yescharacteristic, complemented
137#11718607C2211yescharacteristic, complemented
138#11718605C2211yescharacteristic, complemented
139#11718604C2211yescharacteristic, complemented
140#11718604C2211yescharacteristic, complemented
141#11718603C2211yescharacteristic
142#11718603C2211yescharacteristic
143#11718603C2211yescharacteristic, complemented
144#11718603C2211yescharacteristic, complemented
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic, complemented
150C22⋊C4×Dic13C2211yescharacteristic, complemented
151C22⋊C4×Dic13C2211yescharacteristic, complemented
152#11718601C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718337C2211yescharacteristic, complemented
158#11718337C2211yescharacteristic, complemented
159#11718336C2211yescharacteristic, complemented
160#11718336C2211yescharacteristic, complemented
161#11718334C2211yescharacteristic, complemented
162#11718333C2211yescharacteristic, complemented
163#11718331C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718328C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175D13×#95C2211yescharacteristic, complemented
176D13×#95C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187#11718310C2211yescharacteristic, complemented
188#11718309C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13—24no—
194C22×C22⋊D13—24no—
195C22×C22⋊D13—24no—
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C23×Dic13—24no—
204C23×Dic13—24no—
205C23×Dic13—42no—
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×C4×D13—24no—
216C22×C4×D13—24no—
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×Dic26C2311yescharacteristic
228C13×#126—24no—
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×C22⋊C4—24no—
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C42×C13C2311yescharacteristic
253C2×C42×C13C2311yescharacteristic
254#88207—24no—
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×#6103—24no—
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×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291#88178—24no—
292C2×#6101—24no—
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×C4×Dic13—24no—
311C2×C4×Dic13C2311yescharacteristic
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
324#88150—24no—
325#88148—24no—
326#88147—24no—
327#88147—42no—
328#88146—24no—
329#88143—24no—
330#88141—24no—
331#88139—24no—
332#88138—24no—
333#88138—24no—
334#88137—24no—
335#88137—24no—
336#88136—24no—
337#88135—24no—
338#88135—24no—
339#88135—24no—
340#88135—24no—
341#88135—24no—
342#88135—24no—
343#88135—24no—
344#88135—24no—
345#88135—24no—
346#88135—42no—
347#88135D418yescomplemented
348C22⋊C4×D13—24no—
349C22⋊C4×D13—24no—
350#88131—24no—
351#88131—42no—
352#88130—24no—
353C42×D13—24no—
354C42×D13—42no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13—22no—
393C24×C13—22no—
394C24×C13—22no—
395C24×C13—22no—
396C24×C13—22no—
397C24×C13—41no—
398C24×C13—41no—
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C24×C13C2411yescharacteristic
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—41no—
417C22×C4×C13—41no—
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C2×C22⋊D13—232no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
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—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—41no—
449C2×C22⋊D13—41no—
450C2×C22⋊D13C2×D414yes—
451C2×C22⋊D13#4114yes—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—22no—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—41no—
469C22×Dic13—41no—
470C22×Dic13—41no—
471C22×Dic13—416no—
472C22×Dic13C2×D414yes—
473C22×Dic13#4114yes—
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C2×D52—22no—
488C2×D52—22no—
489C2×D52—22no—
490C2×D52—22no—
491C2×D52—41no—
492C2×D52—41no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—416no—
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×D13C2×D414yes—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—41no—
528C13×C4⋊C4—41no—
529C13×C4⋊C4—41no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4C2×D414yes—
546C42×C13—22no—
547C42×C13—41no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—41no—
555C22⋊Dic13—41no—
556C22⋊Dic13#4114yes—
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—22no—
572#6103—22no—
573#6103—22no—
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—
583#6101—22no—
584#6101—22no—
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—22no—
595#6101—22no—
596#6101—41no—
597#6101—41no—
598#6101—41no—
599#6101C2×D414yes—
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#2481—131no—
616#2480D1311yescharacteristic, complemented
617#2473—131no—
618#2472—131no—
619#2467—131no—
620#2466—131no—
621#2460—131no—
622#2459—131no—
623#2450—131no—
624#2444—131no—
625#2437—131no—
626#2425—131no—
627#2419—131no—
628#2412—131no—
629#2410—131no—
630#2405—131no—
631#2398—131no—
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×C22⋊Q8—131no—
636C4×#123—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2290—131no—
641#2290—131no—
642#2280—131no—
643C2×C4×C22⋊C4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—28no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
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—44no—
662C23×C13—44no—
663C23×C13—44no—
664C23×C13—44no—
665C23×C13—44no—
666C23×C13—44no—
667C23×C13C22×D412yes—
668C23×C13C2×#4112yes—
669C23×C13C2×#4112yes—
670C23×C13C2×#4112yes—
671C23×C13C2×#4112yes—
672C23×C13C2511yescharacteristic
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—28no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—28no—
685C22×D13—21no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13—44no—
697C22×D13C22×D412yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—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—44no—
736C2×C4×C13—44no—
737C2×C4×C13C22×D412yes—
738C2×C4×C13C22×D412yes—
739C22⋊D13—28no—
740C22⋊D13—28no—
741C22⋊D13—28no—
742C22⋊D13—28no—
743C22⋊D13—44no—
744C22⋊D13—44no—
745C22⋊D13—44no—
746C2×Dic13—28no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—28no—
760C2×Dic13—28no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—44no—
780C2×Dic13—44no—
781C2×Dic13—44no—
782C2×Dic13—44no—
783C2×Dic13C22×D412yes—
784C2×Dic13C22×D412yes—
785C2×Dic13C22×D412yes—
786C2×Dic13C2×#4112yes—
787C2×Dic13C2×#4112yes—
788C2×Dic13C2×#4112yes—
789C2×Dic13C2×#4112yes—
790C2×Dic13C2×#4112yes—
791C2×Dic13H(5,𝔽2)12yes—
792D52—44no—
793D52—44no—
794C4×D13—28no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803Dic26—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#529—268no—
808C2×#126—131no—
809C2×#126C2×D1311yescharacteristic, complemented
810C2×#125—131no—
811C2×#124—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8—131no—
817C2×#121—131no—
818C2×#121—131no—
819C2×#120—131no—
820C2×#120—131no—
821C2×C4×Q8—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—131no—
835C2×C4×D4—268no—
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4C2×D1311yescharacteristic
844C22×C42—131no—
845C22×C42—131no—
846C22×C42—131no—
847#400—131no—
848#400—131no—
849#400—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397C2×D1311yescharacteristic, complemented
859#397C2×D1311yescharacteristic, complemented
860#397C2×D1311yescharacteristic, complemented
861#396—131no—
862#396—131no—
863#396—131no—
864#396C2×D1311yescharacteristic, complemented
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#393—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#391—131no—
880#390—131no—
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388C2×D1311yescharacteristic, complemented
889#388C2×D1311yescharacteristic, complemented
890#388C2×D1311yescharacteristic, complemented
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385C2×D1311yescharacteristic
924#385C2×D1311yescharacteristic
925#381—131no—
926#381—131no—
927#381—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#380C2×D1311yescharacteristic
934#379—131no—
935#379—131no—
936#379C2×D1311yescharacteristic
937#379C2×D1311yescharacteristic
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
958#376—131no—
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—416no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13—41no—
982C22×C13#52914yescomplemented
983C22×C13C23×D411yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C22×#4111yescharacteristic
986C22×C13C22×#4111yescharacteristic
987C22×C13C22×#4111yescharacteristic
988C22×C13C2×H(5,𝔽2)11yescharacteristic
989C22×C13#58511yescharacteristic
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—22no—
996C2×D13—22no—
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—416no—
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—41no—
1010C2×D13—41no—
1011C2×D13#52514yes—
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—22no—
1029Dic13—22no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13#54614yes—
1037C25—131no—
1038C25C22×D1311yescharacteristic
1039C22×Q8—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4—131no—
1049C22×D4—264no—
1050C22×D4—264no—
1051C22×D4—264no—
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—131no—
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—131no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—264no—
1071C23×C4—264no—
1072C23×C4—522no—
1073C23×C4—522no—
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—24no—
1077#126—264no—
1078#125—264no—
1079#124—264no—
1080#123—264no—
1081#123—264no—
1082#123—264no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085#121—264no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—264no—
1090C4×D4—138no—
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—264no—
1100C4×D4—264no—
1101C4×D4—522no—
1102C4×D4—522no—
1103#117—264no—
1104#117—264no—
1105#117—522no—
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—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—264no—
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×C22⋊C4—24no—
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—264no—
1167C2×C22⋊C4—264no—
1168C2×C22⋊C4—264no—
1169C2×C22⋊C4C22×D1311yescharacteristic
1170C2×C22⋊C4C22×D1311yescharacteristic
1171C2×C22⋊C4C22×D1311yescharacteristic
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×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×C42—131no—
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—264no—
1199C2×C42—264no—
1200C2×C42—522no—
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#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#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—24no—
1240C2×C13—42no—
1241C2×C13—42no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#52911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13C2×#54611yescharacteristic
1246C2×C13D4×#4111yescharacteristic
1247C2×C13#347511yescharacteristic
1248C2×C13#348111yescharacteristic
1249D13—24no—
1250D13—42no—
1251D13—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—131no—
1260C24—131no—
1261C24—134no—
1262C24—131no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—262no—
1267C24—521no—
1268C24—521no—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—262no—
1274C2×Q8—521no—
1275C2×D4—134no—
1276C2×D4—134no—
1277C2×D4—262no—
1278C2×D4—262no—
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—262no—
1298C2×D4—262no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4—521no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—131no—
1310C22×C4—134no—
1311C22×C4—134no—
1312C22×C4—131no—
1313C22×C4—131no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—134no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
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—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—521no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—5216no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4—521no—
1371C22×C4—5216no—
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—134no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—262no—
1405C4⋊C4—262no—
1406C4⋊C4—262no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4—521no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—134no—
1426C22⋊C4—134no—
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—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—262no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4D4×D1314yes—
1458C42—22no—
1459C42—41no—
1460C42—134no—
1461C42—262no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—262no—
1472C42—521no—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—132no—
1498C23—132no—
1499C23—132no—
1500C23—132no—
1501C23—268no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—268no—
1513C23—261no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—261no—
1519C23—261no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23C2×D4×D1312yes—
1526C23#41×D1312yes—
1527C23#41×D1312yes—
1528C23#41×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—524no—
1532D4—268no—
1533D4—268no—
1534D4—268no—
1535D4—268no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
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—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—132no—
1581C2×C4—132no—
1582C2×C4—132no—
1583C2×C4—132no—
1584C2×C4—132no—
1585C2×C4—132no—
1586C2×C4—268no—
1587C2×C4—268no—
1588C2×C4—268no—
1589C2×C4—268no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—524no—
1629C2×C4—524no—
1630C2×C4—524no—
1631C2×C4—524no—
1632C2×C4C2×D4×D1312yes—
1633C2×C4C2×D4×D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—134no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—5216no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171941114yescomplemented
1678C22C22×D4×D1311yescharacteristic
1679C22C2×#41×D1311yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22D13×H(5,𝔽2)11yescharacteristic
1684C22#1171965011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—134no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—262no—
1702C4—262no—
1703C4—262no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—264no—
1714C2—522no—
1715C2—1041no—
1716C2D13×#52511yescharacteristic
1717C2C2×#1171941111yescharacteristic
1718C2#1312824711yescharacteristic
1719C2D13×#54611yescharacteristic
1720C2#1312832011yescharacteristic
1721C2#1312839111yescharacteristic
1722C2#1312843911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2480C2
prime radical#13118212C2
hypercenter#2480D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#11719411C2semidirect
2. C22×#88135C2semidirect
3. #13119097C2semidirect
4. #13118979C2semidirect
5. #13118956C2semidirect
6. #13118891C2semidirect
7. #13118868C2semidirect
8. #13118794C2semidirect
9. #13118771C2semidirect
10. #13118655C2semidirect
11. #13118581C2semidirect
12. #13118501C2semidirect
13. #13118390C2semidirect
14. #13118308C2semidirect
15. #13118229C2semidirect
17. #13118161C2semidirect
18. #13118121C2semidirect
19. #13118094C2semidirect
20. #13118081C2semidirect
21. #13118073C2semidirect
22. #13117364C2semidirect
23. #13117363C2semidirect
24. #13117348C2semidirect
25. #13117337C2semidirect
26. #13117335C2semidirect
27. #13117278C2semidirect
28. #13117272C2semidirect
29. #13117214C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2480C2semidirect
35. C2×C13×#126C22semidirect
43. C2×#88150C22semidirect
44. C2×#88148C22semidirect
45. C2×#88147C22semidirect
46. C2×#88147C22semidirect
47. C2×#88146C22semidirect
48. C2×#88143C22semidirect
49. C2×#88141C22semidirect
50. C2×#88139C22semidirect
66. C2×#88135C22semidirect
67. C2×#88135C22semidirect
70. C2×#88131C22semidirect
71. C2×#88131C22semidirect
72. C2×#88130C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C42×D13C22semidirect
75. C13×#397C22semidirect
76. C13×#397C22semidirect
77. C13×#397C22semidirect
78. C13×#396C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C13×#388C22semidirect
92. #11718655C22semidirect
93. #11718654C22semidirect
94. #11718653C22semidirect
95. #11718652C22semidirect
96. #11718651C22semidirect
97. #11718650C22semidirect
98. #11718650C22semidirect
99. #11718650C22semidirect
100. #11718650C22semidirect
101. #11718645C22semidirect
102. #11718641C22semidirect
103. #11718639C22semidirect
104. C4⋊C4×Dic13C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. #11718635C22semidirect
107. #11718634C22semidirect
108. #11718633C22semidirect
111. #11718622C22semidirect
118. #11718620C22semidirect
121. #11718619C22semidirect
122. #11718619C22semidirect
123. #11718618C22semidirect
129. #11718613C22semidirect
130. #11718612C22semidirect
132. #11718608C22semidirect
136. #11718607C22semidirect
137. #11718607C22semidirect
138. #11718605C22semidirect
139. #11718604C22semidirect
140. #11718604C22semidirect
143. #11718603C22semidirect
144. #11718603C22semidirect
148. C22⋊C4×Dic13C22semidirect
149. C22⋊C4×Dic13C22semidirect
150. C22⋊C4×Dic13C22semidirect
151. C22⋊C4×Dic13C22semidirect
152. #11718601C22semidirect
153. C4×#6103C22semidirect
154. C4×#6103C22semidirect
155. #11718594C22semidirect
156. #11718594C22semidirect
157. #11718337C22semidirect
158. #11718337C22semidirect
159. #11718336C22semidirect
160. #11718336C22semidirect
161. #11718334C22semidirect
162. #11718333C22semidirect
163. #11718331C22semidirect
164. #11718329C22semidirect
165. #11718328C22semidirect
166. #11718327C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
174. #11718325C22semidirect
175. D13×#95C22semidirect
176. D13×#95C22semidirect
177. #11718319C22semidirect
178. #11718319C22semidirect
179. #11718319C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718310C22semidirect
187. #11718310C22semidirect
188. #11718309C22semidirect
347. #88135D4semidirect
616. #2480D13semidirect
809. C2×#126C2×D13semidirect
858. #397C2×D13semidirect
859. #397C2×D13semidirect
860. #397C2×D13semidirect
864. #396C2×D13semidirect
888. #388C2×D13semidirect
889. #388C2×D13semidirect
890. #388C2×D13semidirect
982. C22×C13#529semidirect
1473. C13#34670semidirect
1677. C22#11719411semidirect

Maximal subgroups

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

subgroupindex
C2×#117194112
C22×#881352
#131190972
#131189792
#131189562
#131188912
#131188682
#131187942
#131187712
#131186552
#131185812
#131185012
#131183902
#131183082
#131182292
#131182122
#131181612
#131181212
#131180942
#131180812
#131180732
#131173642
#131173632
#131173482
#131173372
#131173352
#131172782
#131172722
#131172142
C4×C22⋊C4×D132
C13×#24802
#3467013