Finite Group Databasebeta

← #16070022

Subgroups — #16070022

Order 3328.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123114C211yesmaximal, characteristic, complemented
2#13123112C211yesmaximal, characteristic, complemented
3#13121881C211yesmaximal, characteristic, complemented
4#13121878C211yesmaximal, characteristic, complemented
5#13121876C211yesmaximal, characteristic, complemented
6#13121872C211yesmaximal, characteristic, complemented
7#13121396C211yesmaximal, characteristic, complemented
8#13121395C211yesmaximal, characteristic, complemented
9#13121233C211yesmaximal, characteristic, complemented
10#13121226C211yesmaximal, characteristic, complemented
11#13121225C211yesmaximal, characteristic, complemented
12#13121220C211yesmaximal, characteristic, complemented
13#13121218C211yesmaximal, characteristic, complemented
14#13121213C211yesmaximal, characteristic, complemented
15#13121168C211yesmaximal, characteristic, complemented
16#13121155C211yesmaximal, characteristic, complemented
17#13121064C211yesmaximal, characteristic, complemented
18#13121042C211yesmaximal, characteristic, complemented
19#13120644C211yesmaximal, characteristic, complemented
20#13120576C211yesmaximal, characteristic, complemented
21#13119084C211yesmaximal, characteristic, complemented
22#13119079C211yesmaximal, characteristic, complemented
23#13118967C211yesmaximal, characteristic, complemented
24#13118956C211yesmaximal, characteristic, complemented
25#13118368C211yesmaximal, characteristic, complemented
26#13118366C211yesmaximal, characteristic, complemented
27#13118304C211yesmaximal, characteristic, complemented
28#13117493C211yesmaximal, characteristic, complemented
29#13117490C211yesmaximal, characteristic, complemented
30C2×#11718616C211yesmaximal, characteristic, complemented
31C13×#2418C211yesmaximal, characteristic, complemented
32C25×D13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic, complemented
34C2×C13×#120C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic, complemented
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic, complemented
40C2×#88192C2211yescharacteristic, complemented
41C2×#88191C2211yescharacteristic
42C2×#88191C2211yescharacteristic
43C2×#88191C2211yescharacteristic
44C2×#88191C2211yescharacteristic
45C2×#88191C2211yescharacteristic
46C2×#88191C2211yescharacteristic
47C2×#88184C2211yescharacteristic, complemented
48C22×#6103C2211yescharacteristic
49C22×#6103C2211yescharacteristic
50C22×#6103C2211yescharacteristic
51C22×#6103C2211yescharacteristic
52C2×#88178C2211yescharacteristic, complemented
53C2×#88152C2211yescharacteristic, complemented
54C2×#88148C2211yescharacteristic, complemented
55C2×#88139C2211yescharacteristic, complemented
56C2×#88139C2211yescharacteristic, complemented
57C2×#88136C2211yescharacteristic
58C2×#88136C2211yescharacteristic
59C2×#88136C2211yescharacteristic
60C2×#88136C2211yescharacteristic
61C2×#88136C2211yescharacteristic
62C2×#88136C2211yescharacteristic
63C2×#88135C2211yescharacteristic, complemented
64C2×#88133C2211yescharacteristic, complemented
65C13×#399C2211yescharacteristic, complemented
66C13×#397C2211yescharacteristic, complemented
67C13×#394C2211yescharacteristic, complemented
68C13×#394C2211yescharacteristic, complemented
69C13×#388C2211yescharacteristic, complemented
70C13×#388C2211yescharacteristic, complemented
71C13×#386C2211yescharacteristic, complemented
72C13×#386C2211yescharacteristic, complemented
73C13×#385C2211yescharacteristic, complemented
74C13×#380C2211yescharacteristic, complemented
75C13×#379C2211yescharacteristic
76#11718908C2211yescharacteristic
77#11718884C2211yescharacteristic, complemented
78#11718883C2211yescharacteristic, complemented
79#11718882C2211yescharacteristic, complemented
80#11718881C2211yescharacteristic, complemented
81#11718874C2211yescharacteristic, complemented
82#11718874C2211yescharacteristic, complemented
83#11718874C2211yescharacteristic, complemented
84#11718874C2211yescharacteristic, complemented
85#11718874C2211yescharacteristic, complemented
86C4×C22⋊Dic13C2211yescharacteristic, complemented
87#11718655C2211yescharacteristic, complemented
88#11718655C2211yescharacteristic, complemented
89#11718655C2211yescharacteristic, complemented
90#11718655C2211yescharacteristic, complemented
91#11718655C2211yescharacteristic, complemented
92#11718655C2211yescharacteristic, complemented
93#11718654C2211yescharacteristic, complemented
94#11718653C2211yescharacteristic, complemented
95#11718652C2211yescharacteristic, complemented
96#11718652C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718651C2211yescharacteristic, complemented
101#11718651C2211yescharacteristic, complemented
102#11718651C2211yescharacteristic, complemented
103#11718649C2211yescharacteristic, complemented
104#11718649C2211yescharacteristic, complemented
105#11718622C2211yescharacteristic, complemented
106#11718622C2211yescharacteristic, complemented
107#11718622C2211yescharacteristic, complemented
108#11718622C2211yescharacteristic, complemented
109#11718621C2211yescharacteristic, complemented
110#11718621C2211yescharacteristic, complemented
111#11718621C2211yescharacteristic, complemented
112#11718620C2211yescharacteristic, complemented
113#11718620C2211yescharacteristic, complemented
114#11718620C2211yescharacteristic, complemented
115#11718620C2211yescharacteristic, complemented
116#11718618C2211yescharacteristic, complemented
117#11718618C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic, complemented
120#11718617C2211yescharacteristic, complemented
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718616C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718616C2211yescharacteristic
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718616C2211yescharacteristic
131#11718616C2211yescharacteristic
132#11718616C2211yescharacteristic
133#11718616C2211yescharacteristic
134#11718616C2211yescharacteristic
135#11718616C2211yescharacteristic
136#11718616C2211yescharacteristic
137#11718616C2211yescharacteristic
138#11718616C2211yescharacteristic
139#11718616C2211yescharacteristic
140#11718616C2211yescharacteristic
141#11718614C2211yescharacteristic, complemented
142#11718613C2211yescharacteristic, complemented
143#11718613C2211yescharacteristic, complemented
144#11718613C2211yescharacteristic, complemented
145#11718612C2211yescharacteristic, complemented
146#11718612C2211yescharacteristic, complemented
147#11718611C2211yescharacteristic, complemented
148#11718611C2211yescharacteristic, complemented
149#11718609C2211yescharacteristic, complemented
150#11718609C2211yescharacteristic, complemented
151#11718608C2211yescharacteristic, complemented
152#11718607C2211yescharacteristic, complemented
153#11718606C2211yescharacteristic, complemented
154#11718605C2211yescharacteristic, complemented
155#11718605C2211yescharacteristic, complemented
156#11718605C2211yescharacteristic, complemented
157#11718603C2211yescharacteristic, complemented
158C22⋊C4×Dic13C2211yescharacteristic, complemented
159#11718601C2211yescharacteristic, complemented
160#11718601C2211yescharacteristic, complemented
161#11718601C2211yescharacteristic, complemented
162#11718600C2211yescharacteristic, complemented
163#11718338C2211yescharacteristic, complemented
164#11718338C2211yescharacteristic, complemented
165#11718336C2211yescharacteristic, complemented
166#11718336C2211yescharacteristic, complemented
167#11718336C2211yescharacteristic, complemented
168#11718336C2211yescharacteristic, complemented
169#11718336C2211yescharacteristic, complemented
170#11718335C2211yescharacteristic, complemented
171#11718334C2211yescharacteristic, complemented
172#11718334C2211yescharacteristic, complemented
173#11718334C2211yescharacteristic, complemented
174#11718333C2211yescharacteristic, complemented
175#11718333C2211yescharacteristic, complemented
176#11718333C2211yescharacteristic, complemented
177#11718331C2211yescharacteristic, complemented
178#11718331C2211yescharacteristic, complemented
179#11718330C2211yescharacteristic, complemented
180#11718330C2211yescharacteristic, complemented
181#11718330C2211yescharacteristic, complemented
182#11718330C2211yescharacteristic, complemented
183#11718330C2211yescharacteristic, complemented
184#11718326C2211yescharacteristic, complemented
185#11718326C2211yescharacteristic, complemented
186#11718326C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C24×D13—24no—
189C24×D13—42no—
190C24×D13—42no—
191C24×D13—42no—
192C24×D13—42no—
193C24×D13—42no—
194C24×D13—42no—
195C24×D13C2311yescharacteristic
196C24×D13C2311yescharacteristic
197C24×D13C2311yescharacteristic
198C24×D13C2311yescharacteristic
199C24×D13C2311yescharacteristic
200C24×D13C2311yescharacteristic
201C22×D4×C13C2311yescharacteristic
202C22×D4×C13C2311yescharacteristic
203C22×D4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic, complemented
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C22×C22⋊D13C2311yescharacteristic, complemented
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C22×D52C2311yescharacteristic
218C22×D52C2311yescharacteristic
219C22×D52C2311yescharacteristic
220C22×D52C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic, complemented
222C22×Dic26C2311yescharacteristic, complemented
223C13×#123—42no—
224C13×#120—42no—
225C4×D4×C13—42no—
226C2×C13×C4⋊C4C2311yescharacteristic, complemented
227C2×C13×C4⋊C4C2311yescharacteristic, complemented
228C2×C13×C4⋊C4C2311yescharacteristic, complemented
229C2×C13×C4⋊C4C2311yescharacteristic, complemented
230C2×C13×C4⋊C4C2311yescharacteristic, complemented
231C2×C13×C22⋊C4—42no—
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic, complemented
246C2×C13×C22⋊C4C2311yescharacteristic, complemented
247C2×C13×C22⋊C4C2311yescharacteristic, complemented
248C2×C42×C13C2311yescharacteristic, complemented
249#88207—42no—
250C2×C22⋊Dic13—42no—
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic, complemented
265C2×C22⋊Dic13C2311yescharacteristic, complemented
266C2×C22⋊Dic13C2311yescharacteristic, complemented
267#88193—42no—
268#88192—42no—
269#88191—24no—
270#88191—42no—
271#88191—42no—
272#88191—42no—
273#88191—42no—
274#88191—42no—
275#88184—42no—
276C2×#6103—42no—
277C2×#6103—42no—
278C2×#6103—42no—
279C2×#6103—42no—
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×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×#6103C2311yescharacteristic
318C2×#6103C2311yescharacteristic
319C2×#6103C2311yescharacteristic
320C2×#6103C2311yescharacteristic, complemented
321C2×#6103C2311yescharacteristic, complemented
322C2×#6103C2311yescharacteristic, complemented
323C2×#6103C2311yescharacteristic, complemented
324C2×#6103C2311yescharacteristic, complemented
325C2×#6103C2311yescharacteristic, complemented
326C2×C4⋊Dic13C2311yescharacteristic, complemented
327C2×C4⋊Dic13C2311yescharacteristic, complemented
328C2×C4⋊Dic13C2311yescharacteristic, complemented
329C2×C4⋊Dic13C2311yescharacteristic, complemented
330C2×C4⋊Dic13C2311yescharacteristic, complemented
331#88178—42no—
332C2×#6101C2311yescharacteristic, complemented
333C2×#6101C2311yescharacteristic, complemented
334C2×#6101C2311yescharacteristic, complemented
335C2×#6101C2311yescharacteristic, complemented
336C2×#6101C2311yescharacteristic, complemented
337C2×#6101C2311yescharacteristic, complemented
338C2×#6101C2311yescharacteristic, complemented
339C2×#6101C2311yescharacteristic, complemented
340C2×C4×Dic13C2311yescharacteristic, complemented
341C2×C4×Dic13C2311yescharacteristic, complemented
342C2×C4×Dic13C2311yescharacteristic, complemented
343C2×C4×Dic13C2311yescharacteristic, complemented
344C2×C4×Dic13C2311yescharacteristic, complemented
345#88152—42no—
346#88148—42no—
347#88139—42no—
348#88139—42no—
349#88136—24no—
350#88136—42no—
351#88136—42no—
352#88136—42no—
353#88136—42no—
354#88136—42no—
355#88135—42no—
356#88133—42no—
357C13×#95C2311yescharacteristic, complemented
358C13×#95C2311yescharacteristic, complemented
359C13×#95C2311yescharacteristic, complemented
360C13×#95C2311yescharacteristic, complemented
361C13×#95C2311yescharacteristic, complemented
362C13×#95C2311yescharacteristic, complemented
363#88071C2311yescharacteristic, complemented
364#88071C2311yescharacteristic, complemented
365#88071C2311yescharacteristic, complemented
366#88071C2311yescharacteristic, complemented
367#88071C2311yescharacteristic, complemented
368#88071C2311yescharacteristic, complemented
369#88071C2311yescharacteristic, complemented
370#88071C2311yescharacteristic, complemented
371#88071C2311yescharacteristic, complemented
372#88071C2311yescharacteristic, complemented
373#88071C2311yescharacteristic, complemented
374#88071C2311yescharacteristic, complemented
375#88071C2311yescharacteristic, complemented
376#88071C2311yescharacteristic, complemented
377#88071C2311yescharacteristic, complemented
378#88071C2311yescharacteristic, complemented
379#88071C2311yescharacteristic, complemented
380#88071C2311yescharacteristic, complemented
381#36725—131nomaximal, Sylow
382C24×C13—22no—
383C24×C13—22no—
384C24×C13—22no—
385C24×C13—22no—
386C24×C13—22no—
387C24×C13—41no—
388C24×C13—41no—
389C24×C13C2411yescharacteristic
390C24×C13C2411yescharacteristic
391C24×C13C2411yescharacteristic
392C24×C13C2411yescharacteristic
393C23×D13—22no—
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—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—22no—
408C23×D13—22no—
409C23×D13—22no—
410C23×D13—22no—
411C23×D13—22no—
412C23×D13—41no—
413C23×D13—41no—
414C23×D13—41no—
415C23×D13—41no—
416C23×D13—41no—
417C23×D13—41no—
418C23×D13—41no—
419C23×D13—41no—
420C23×D13—41no—
421C23×D13—41no—
422C23×D13—41no—
423C23×D13—41no—
424C23×D13—41no—
425C23×D13—41no—
426C23×D13—41no—
427C23×D13—41no—
428C23×D13—41no—
429C23×D13—41no—
430C23×D13—41no—
431C23×D13—41no—
432C23×D13—41no—
433C23×D13—41no—
434C23×D13—416no—
435C23×D13—416no—
436C23×D13—416no—
437C23×D13—416no—
438C23×D13—416no—
439C23×D13—416no—
440C23×D13—416no—
441C23×D13#4114yes—
442C23×D13C2411yescharacteristic
443C23×D13C2411yescharacteristic
444C23×D13C2411yescharacteristic
445C23×D13C2411yescharacteristic
446C23×D13C2411yescharacteristic
447C2×D4×C13—22no—
448C2×D4×C13—22no—
449C2×D4×C13—22no—
450C2×D4×C13—22no—
451C2×D4×C13—22no—
452C2×D4×C13—41no—
453C2×D4×C13—41no—
454C2×D4×C13—41no—
455C2×D4×C13—41no—
456C22×C4×C13—22no—
457C22×C4×C13—22no—
458C22×C4×C13—41no—
459C22×C4×C13—41no—
460C22×C4×C13—41no—
461C22×C4×C13—41no—
462C22×C4×C13—41no—
463C22×C4×C13—41no—
464C22×C4×C13—41no—
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2411yescharacteristic
471C22×C4×C13C2411yescharacteristic
472C22×C4×C13C2411yescharacteristic
473C22×C4×C13C2411yescharacteristic
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2411yescharacteristic
476C2×C22⋊D13—22no—
477C2×C22⋊D13—22no—
478C2×C22⋊D13—22no—
479C2×C22⋊D13—22no—
480C2×C22⋊D13—22no—
481C2×C22⋊D13—22no—
482C2×C22⋊D13—22no—
483C2×C22⋊D13—22no—
484C2×C22⋊D13—22no—
485C2×C22⋊D13—41no—
486C2×C22⋊D13—41no—
487C2×C22⋊D13—41no—
488C2×C22⋊D13—41no—
489C2×C22⋊D13—41no—
490C2×C22⋊D13—41no—
491C2×C22⋊D13—41no—
492C2×C22⋊D13—41no—
493C2×C22⋊D13—41no—
494C2×C22⋊D13—41no—
495C2×C22⋊D13—41no—
496C2×C22⋊D13—41no—
497C2×C22⋊D13—41no—
498C2×C22⋊D13—41no—
499C2×C22⋊D13—41no—
500C22×Dic13—22no—
501C22×Dic13—22no—
502C22×Dic13—41no—
503C22×Dic13—41no—
504C22×Dic13—41no—
505C22×Dic13—41no—
506C22×Dic13C2411yescharacteristic
507C22×Dic13C2411yescharacteristic
508C22×Dic13C2411yescharacteristic
509C22×Dic13C2411yescharacteristic
510C22×Dic13C2411yescharacteristic
511C22×Dic13C2411yescharacteristic
512C22×Dic13C2411yescharacteristic
513C22×Dic13C2411yescharacteristic
514C22×Dic13C2411yescharacteristic
515C22×Dic13C2411yescharacteristic
516C22×Dic13C2411yescharacteristic
517C2×D52—22no—
518C2×D52—22no—
519C2×D52—22no—
520C2×D52—22no—
521C2×D52—41no—
522C2×D52—41no—
523C2×D52—41no—
524C2×D52—41no—
525C2×D52—41no—
526C2×D52—41no—
527C2×D52—41no—
528C2×D52—41no—
529C2×C4×D13—41no—
530C2×C4×D13—41no—
531C2×C4×D13—41no—
532C2×Dic26—41no—
533C2×Dic26—41no—
534C2×Dic26—41no—
535C13×C4⋊C4—41no—
536C13×C4⋊C4—41no—
537C13×C4⋊C4—41no—
538C13×C4⋊C4—41no—
539C13×C4⋊C4—41no—
540C13×C22⋊C4—22no—
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—41no—
548C13×C22⋊C4—41no—
549C13×C22⋊C4—41no—
550C13×C22⋊C4—41no—
551C13×C22⋊C4—41no—
552C13×C22⋊C4—41no—
553C13×C22⋊C4—41no—
554C13×C22⋊C4—41no—
555C13×C22⋊C4—41no—
556C42×C13—41no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—22no—
560C22⋊Dic13—22no—
561C22⋊Dic13—22no—
562C22⋊Dic13—22no—
563C22⋊Dic13—22no—
564C22⋊Dic13—41no—
565C22⋊Dic13—41no—
566C22⋊Dic13—41no—
567C22⋊Dic13—41no—
568C22⋊Dic13—41no—
569C22⋊Dic13—41no—
570C22⋊Dic13—41no—
571C22⋊Dic13—41no—
572C22⋊Dic13—41no—
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—22no—
583#6103—22no—
584#6103—22no—
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#6103—41no—
595#6103—41no—
596#6103—41no—
597#6103—41no—
598#6103—41no—
599#6103—41no—
600#6103—41no—
601#6103—41no—
602#6103—41no—
603#6103—41no—
604#6103—41no—
605#6103—41no—
606#6103—41no—
607#6103—41no—
608#6103—41no—
609#6103—41no—
610#6103—41no—
611#6103—41no—
612#6103—41no—
613#6103—41no—
614#6103—41no—
615#6103—41no—
616#6103—41no—
617#6103—41no—
618#6103—41no—
619C4⋊Dic13—41no—
620C4⋊Dic13—41no—
621C4⋊Dic13—41no—
622C4⋊Dic13—41no—
623C4⋊Dic13—41no—
624#6101—41no—
625#6101—41no—
626#6101—41no—
627#6101—41no—
628#6101—41no—
629#6101—41no—
630#6101—41no—
631#6101—41no—
632C4×Dic13—41no—
633C4×Dic13—41no—
634C4×Dic13—41no—
635C4×Dic13—41no—
636C4×Dic13—41no—
637#2846—131no—
638#2846—131no—
639#2736—131no—
640#2735—131no—
641#2735—131no—
642#2735—131no—
643#2697—131no—
644#2697—131no—
645#2685—131no—
646#2685—131no—
647#2685—131no—
648#2685—131no—
649#2684—131no—
650#2684—131no—
651#2678—131no—
652#2678—131no—
653#2670—131no—
654#2668—131no—
655#2626—131no—
656#2617—131no—
657#2480—131no—
658#2480—131no—
659#2472—131no—
660#2472—131no—
661#2424—131no—
662#2424—131no—
663#2418—131no—
664#2418D1311yescharacteristic, complemented
665#2321—131no—
666#2321—131no—
667C2×#379—131no—
668C23×C13—21no—
669C23×C13—21no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13—28no—
673C23×C13—21no—
674C23×C13—21no—
675C23×C13—21no—
676C23×C13—21no—
677C23×C13—21no—
678C23×C13—21no—
679C23×C13—21no—
680C23×C13—21no—
681C23×C13—21no—
682C23×C13—21no—
683C23×C13—21no—
684C23×C13—21no—
685C23×C13—21no—
686C23×C13—21no—
687C23×C13—21no—
688C23×C13—21no—
689C23×C13—21no—
690C23×C13—21no—
691C23×C13—21no—
692C23×C13—44no—
693C23×C13—44no—
694C23×C13—44no—
695C23×C13—44no—
696C23×C13—44no—
697C23×C13—44no—
698C23×C13C2×#4112yes—
699C23×C13H(5,𝔽2)12yes—
700C23×C13H(5,𝔽2)12yes—
701C23×C13H(5,𝔽2)12yes—
702C23×C13H(5,𝔽2)12yes—
703C23×C13C2511yescharacteristic
704C22×D13—28no—
705C22×D13—28no—
706C22×D13—21no—
707C22×D13—21no—
708C22×D13—21no—
709C22×D13—21no—
710C22×D13—21no—
711C22×D13—21no—
712C22×D13—21no—
713C22×D13—21no—
714C22×D13—21no—
715C22×D13—21no—
716C22×D13—21no—
717C22×D13—21no—
718C22×D13—21no—
719C22×D13—21no—
720C22×D13—21no—
721C22×D13—21no—
722C22×D13—21no—
723C22×D13—21no—
724C22×D13—21no—
725C22×D13—21no—
726C22×D13—21no—
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—21no—
731C22×D13—21no—
732C22×D13—21no—
733C22×D13—21no—
734C22×D13—21no—
735C22×D13—21no—
736C22×D13—21no—
737C22×D13—44no—
738C22×D13—44no—
739C22×D13—44no—
740C22×D13—44no—
741C22×D13—44no—
742C22×D13—44no—
743C22×D13—44no—
744C22×D13—44no—
745C22×D13—44no—
746C22×D13—44no—
747C22×D13—44no—
748C22×D13—44no—
749C22×D13—44no—
750C22×D13—44no—
751C22×D13—44no—
752C22×D13—44no—
753C22×D13—44no—
754C22×D13—44no—
755C22×D13—44no—
756C22×D13—44no—
757C22×D13—44no—
758C22×D13—44no—
759C22×D13—44no—
760C22×D13—44no—
761C22×D13—44no—
762C22×D13—44no—
763C22×D13—44no—
764C22×D13—44no—
765C22×D13—44no—
766C22×D13—44no—
767C22×D13—44no—
768C22×D13—44no—
769C22×D13—44no—
770C22×D13—44no—
771C22×D13—44no—
772C22×D13—4128no—
773C22×D13—44no—
774C22×D13—44no—
775C22×D13—44no—
776C22×D13—44no—
777C22×D13—44no—
778C22×D13C2×#4112yes—
779C22×D13C2×#4112yes—
780C22×D13H(5,𝔽2)12yes—
781C22×D13H(5,𝔽2)12yes—
782D4×C13—44no—
783D4×C13—82no—
784D4×C13—82no—
785C2×C4×C13—21no—
786C2×C4×C13—21no—
787C2×C4×C13—21no—
788C2×C4×C13—21no—
789C2×C4×C13—21no—
790C2×C4×C13—21no—
791C2×C4×C13—21no—
792C2×C4×C13—21no—
793C2×C4×C13—21no—
794C2×C4×C13—21no—
795C2×C4×C13—21no—
796C2×C4×C13—21no—
797C2×C4×C13—21no—
798C2×C4×C13—21no—
799C2×C4×C13—21no—
800C2×C4×C13—21no—
801C2×C4×C13—21no—
802C2×C4×C13—21no—
803C2×C4×C13—21no—
804C2×C4×C13—21no—
805C2×C4×C13—21no—
806C2×C4×C13—21no—
807C2×C4×C13—21no—
808C2×C4×C13—21no—
809C2×C4×C13—21no—
810C2×C4×C13—21no—
811C2×C4×C13—21no—
812C2×C4×C13—21no—
813C2×C4×C13—21no—
814C2×C4×C13—21no—
815C2×C4×C13—21no—
816C2×C4×C13—21no—
817C2×C4×C13—21no—
818C2×C4×C13—82no—
819C2×C4×C13—82no—
820C2×C4×C13—82no—
821C22⋊D13—44no—
822C22⋊D13—82no—
823C22⋊D13—82no—
824C22⋊D13—82no—
825C22⋊D13—82no—
826C22⋊D13—82no—
827C22⋊D13—82no—
828C22⋊D13—82no—
829C2×Dic13—21no—
830C2×Dic13—21no—
831C2×Dic13—21no—
832C2×Dic13—21no—
833C2×Dic13—21no—
834C2×Dic13—21no—
835C2×Dic13—21no—
836C2×Dic13—21no—
837C2×Dic13—21no—
838C2×Dic13—21no—
839C2×Dic13—21no—
840C2×Dic13—21no—
841C2×Dic13—21no—
842C2×Dic13—21no—
843C2×Dic13—21no—
844C2×Dic13—21no—
845C2×Dic13—21no—
846C2×Dic13—21no—
847C2×Dic13—21no—
848C2×Dic13—21no—
849C2×Dic13—21no—
850C2×Dic13—21no—
851C2×Dic13—21no—
852C2×Dic13—21no—
853C2×Dic13—21no—
854C2×Dic13—21no—
855C2×Dic13—21no—
856C2×Dic13—21no—
857C2×Dic13—21no—
858C2×Dic13—21no—
859C2×Dic13—21no—
860C2×Dic13—21no—
861C2×Dic13—21no—
862C2×Dic13—82no—
863C2×Dic13—82no—
864D52—82no—
865D52—82no—
866D52—82no—
867D52—82no—
868C4×D13—82no—
869Dic26—82no—
870C26—131no—
871C2×#126—131no—
872C2×#126—131no—
873C2×#124—131no—
874C2×#124—131no—
875C2×#123—131no—
876C2×#123C2×D1311yescharacteristic, complemented
877C2×C22⋊Q8—131no—
878C2×#121—131no—
879C2×#121—131no—
880C2×#121—131no—
881C2×#120—131no—
882C2×#120—131no—
883C2×#120—131no—
884C2×#120—131no—
885C2×#120—131no—
886C2×#120—131no—
887C2×#120—131no—
888C2×#120—131no—
889C2×#120—131no—
890C2×#120—131no—
891C2×#120—131no—
892C2×#120—131no—
893C2×#120—131no—
894C2×#120C2×D1311yescharacteristic
895C2×C4×D4—131no—
896C2×C4×D4C2×D1311yescharacteristic, complemented
897C22×C22⋊C4—131no—
898C22×C22⋊C4—131no—
899C22×C22⋊C4—131no—
900C22×C22⋊C4—131no—
901C22×C22⋊C4—131no—
902C22×C22⋊C4C2×D1311yescharacteristic
903#399—131no—
904#399—131no—
905#399—131no—
906#399C2×D1311yescharacteristic, complemented
907#397—131no—
908#397—131no—
909#397—131no—
910#397—131no—
911#397—131no—
912#397—131no—
913#397—131no—
914#397—131no—
915#397—131no—
916#397—131no—
917#397—131no—
918#397C2×D1311yescharacteristic, complemented
919#396—131no—
920#396—131no—
921#396—131no—
922#396—131no—
923#396—131no—
924#396—131no—
925#396—131no—
926#396—131no—
927#394—131no—
928#394—131no—
929#394—131no—
930#394—131no—
931#394—131no—
932#394—131no—
933#394—131no—
934#394—131no—
935#394—131no—
936#394—131no—
937#394—131no—
938#394—131no—
939#394—131no—
940#394—131no—
941#394C2×D1311yescharacteristic, complemented
942#394C2×D1311yescharacteristic, complemented
943#393—131no—
944#393—131no—
945#393—131no—
946#393—131no—
947#392—131no—
948#392—131no—
949#392—131no—
950#392—131no—
951#390—131no—
952#390—131no—
953#390—131no—
954#390—131no—
955#390—131no—
956#390—131no—
957#390—131no—
958#390—131no—
959#388—131no—
960#388—131no—
961#388—131no—
962#388—131no—
963#388—131no—
964#388—131no—
965#388—131no—
966#388—131no—
967#388—131no—
968#388—131no—
969#388—131no—
970#388—131no—
971#388—131no—
972#388—131no—
973#388—131no—
974#388—131no—
975#388—131no—
976#388—131no—
977#388—131no—
978#388—131no—
979#388—131no—
980#388—131no—
981#388C2×D1311yescharacteristic, complemented
982#388C2×D1311yescharacteristic, complemented
983#386—131no—
984#386—131no—
985#386—131no—
986#386—131no—
987#386—131no—
988#386—131no—
989#386—131no—
990#386—131no—
991#386—131no—
992#386—131no—
993#386C2×D1311yescharacteristic, complemented
994#386C2×D1311yescharacteristic, complemented
995#385—131no—
996#385—131no—
997#385—131no—
998#385C2×D1311yescharacteristic, complemented
999#380—131no—
1000#380C2×D1311yescharacteristic, complemented
1001#379—131no—
1002#379—131no—
1003#379—131no—
1004#379—131no—
1005#379—131no—
1006#379—131no—
1007#379—131no—
1008#379—131no—
1009#379—131no—
1010#379—131no—
1011#379—131no—
1012#379—131no—
1013#379—131no—
1014#379—131no—
1015#379—131no—
1016#379—131no—
1017#379—131no—
1018#379—131no—
1019#379—131no—
1020#379—131no—
1021#379—131no—
1022#379C2×D1311yescharacteristic
1023C4×C22⋊C4—131no—
1024C4×C22⋊C4—131no—
1025C22×C13—22no—
1026C22×C13—22no—
1027C22×C13—22no—
1028C22×C13—22no—
1029C22×C13—22no—
1030C22×C13—22no—
1031C22×C13—22no—
1032C22×C13—22no—
1033C22×C13—22no—
1034C22×C13—22no—
1035C22×C13—22no—
1036C22×C13—22no—
1037C22×C13—416no—
1038C22×C13—41no—
1039C22×C13—41no—
1040C22×C13—41no—
1041C22×C13—41no—
1042C22×C13—41no—
1043C22×C13—41no—
1044C22×C13—41no—
1045C22×C13—41no—
1046C22×C13—41no—
1047C22×C13—41no—
1048C22×C13—41no—
1049C22×C13—41no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13#53814yes—
1054C22×C13C22×#4111yescharacteristic
1055C22×C13C2×H(5,𝔽2)11yescharacteristic
1056C22×C13C2×H(5,𝔽2)11yescharacteristic
1057C22×C13C2×H(5,𝔽2)11yescharacteristic
1058C22×C13C2×H(5,𝔽2)11yescharacteristic
1059C22×C13C2×H(5,𝔽2)11yescharacteristic
1060C22×C13C2×H(5,𝔽2)11yescharacteristic
1061C2×D13—22no—
1062C2×D13—22no—
1063C2×D13—22no—
1064C2×D13—22no—
1065C2×D13—22no—
1066C2×D13—22no—
1067C2×D13—22no—
1068C2×D13—22no—
1069C2×D13—22no—
1070C2×D13—22no—
1071C2×D13—22no—
1072C2×D13—22no—
1073C2×D13—416no—
1074C2×D13—416no—
1075C2×D13—416no—
1076C2×D13—416no—
1077C2×D13—416no—
1078C2×D13—416no—
1079C2×D13—41no—
1080C2×D13—41no—
1081C2×D13—41no—
1082C2×D13—41no—
1083C2×D13—41no—
1084C2×D13—41no—
1085C2×D13—41no—
1086C2×D13—41no—
1087C2×D13—41no—
1088C2×D13—41no—
1089C2×D13—41no—
1090C2×D13—41no—
1091C2×D13—41no—
1092C2×D13—41no—
1093C2×D13—41no—
1094C2×D13—41no—
1095C2×D13—41no—
1096C2×D13—41no—
1097C2×D13—41no—
1098C2×D13—41no—
1099C2×D13—41no—
1100C2×D13—41no—
1101C2×D13—41no—
1102C4×C13—41no—
1103C4×C13—41no—
1104C4×C13—41no—
1105C4×C13—41no—
1106C4×C13—41no—
1107C4×C13—41no—
1108C4×C13—41no—
1109C4×C13—41no—
1110C4×C13—41no—
1111C4×C13—41no—
1112C4×C13—41no—
1113Dic13—41no—
1114Dic13—41no—
1115Dic13—41no—
1116Dic13—41no—
1117Dic13—41no—
1118Dic13—41no—
1119Dic13—41no—
1120Dic13—41no—
1121Dic13—41no—
1122Dic13—41no—
1123Dic13—41no—
1124C25—131no—
1125C25—131no—
1126C25—131no—
1127C25—131no—
1128C25—131no—
1129C25—131no—
1130C25—264no—
1131C25—522no—
1132C25—522no—
1133C25—522no—
1134C25—522no—
1135C25—522no—
1136C25—522no—
1137C25C22×D1311yescharacteristic
1138C22×Q8—131no—
1139C22×D4—131no—
1140C22×D4—131no—
1141C22×D4—131no—
1142C22×D4—131no—
1143C22×D4—131no—
1144C22×D4—131no—
1145C22×D4—131no—
1146C22×D4—131no—
1147C22×D4—131no—
1148C22×D4—131no—
1149C22×D4—131no—
1150C22×D4—131no—
1151C22×D4C22×D1311yescharacteristic
1152C22×D4C22×D1311yescharacteristic
1153C22×D4C22×D1311yescharacteristic
1154C23×C4—131no—
1155C23×C4—131no—
1156C23×C4—131no—
1157C23×C4C22×D1311yescharacteristic
1158C23×C4C22×D1311yescharacteristic
1159C23×C4C22×D1311yescharacteristic, complemented
1160#126—522no—
1161#126—522no—
1162#124—522no—
1163#124—522no—
1164#123—42no—
1165#123—522no—
1166C22⋊Q8—522no—
1167#121—522no—
1168#121—522no—
1169#121—522no—
1170#120—42no—
1171#120—264no—
1172#120—264no—
1173#120—522no—
1174#120—522no—
1175#120—522no—
1176#120—522no—
1177#120—522no—
1178#120—522no—
1179#120—522no—
1180#120—522no—
1181#120—522no—
1182#120—522no—
1183#120—522no—
1184C4×D4—42no—
1185C4×D4—522no—
1186C2×C4⋊C4—131no—
1187C2×C4⋊C4—131no—
1188C2×C4⋊C4—131no—
1189C2×C4⋊C4—131no—
1190C2×C4⋊C4—131no—
1191C2×C4⋊C4—131no—
1192C2×C4⋊C4—131no—
1193C2×C4⋊C4—131no—
1194C2×C4⋊C4—131no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4C22×D1311yescharacteristic, complemented
1200C2×C4⋊C4C22×D1311yescharacteristic, complemented
1201C2×C4⋊C4C22×D1311yescharacteristic, complemented
1202C2×C4⋊C4C22×D1311yescharacteristic, complemented
1203C2×C4⋊C4C22×D1311yescharacteristic, complemented
1204C2×C22⋊C4—42no—
1205C2×C22⋊C4—131no—
1206C2×C22⋊C4—131no—
1207C2×C22⋊C4—131no—
1208C2×C22⋊C4—131no—
1209C2×C22⋊C4—131no—
1210C2×C22⋊C4—131no—
1211C2×C22⋊C4—131no—
1212C2×C22⋊C4—131no—
1213C2×C22⋊C4—131no—
1214C2×C22⋊C4—131no—
1215C2×C22⋊C4—131no—
1216C2×C22⋊C4—131no—
1217C2×C22⋊C4—131no—
1218C2×C22⋊C4—131no—
1219C2×C22⋊C4—131no—
1220C2×C22⋊C4—131no—
1221C2×C22⋊C4—131no—
1222C2×C22⋊C4—131no—
1223C2×C22⋊C4—131no—
1224C2×C22⋊C4—131no—
1225C2×C22⋊C4—131no—
1226C2×C22⋊C4—131no—
1227C2×C22⋊C4—131no—
1228C2×C22⋊C4—131no—
1229C2×C22⋊C4—131no—
1230C2×C22⋊C4—131no—
1231C2×C22⋊C4—131no—
1232C2×C22⋊C4—131no—
1233C2×C22⋊C4—131no—
1234C2×C22⋊C4—131no—
1235C2×C22⋊C4—131no—
1236C2×C22⋊C4—131no—
1237C2×C22⋊C4—131no—
1238C2×C22⋊C4—131no—
1239C2×C22⋊C4—131no—
1240C2×C22⋊C4—131no—
1241C2×C22⋊C4—131no—
1242C2×C22⋊C4—131no—
1243C2×C22⋊C4—131no—
1244C2×C22⋊C4—131no—
1245C2×C22⋊C4—131no—
1246C2×C22⋊C4—131no—
1247C2×C22⋊C4—131no—
1248C2×C22⋊C4—131no—
1249C2×C22⋊C4—131no—
1250C2×C22⋊C4—131no—
1251C2×C22⋊C4—131no—
1252C2×C22⋊C4—131no—
1253C2×C22⋊C4—131no—
1254C2×C22⋊C4—131no—
1255C2×C22⋊C4—131no—
1256C2×C22⋊C4—131no—
1257C2×C22⋊C4—131no—
1258C2×C22⋊C4—131no—
1259C2×C22⋊C4—131no—
1260C2×C22⋊C4—131no—
1261C2×C22⋊C4—131no—
1262C2×C22⋊C4—131no—
1263C2×C22⋊C4—131no—
1264C2×C22⋊C4—131no—
1265C2×C22⋊C4—131no—
1266C2×C22⋊C4—131no—
1267C2×C22⋊C4—522no—
1268C2×C22⋊C4—522no—
1269C2×C22⋊C4—522no—
1270C2×C22⋊C4—522no—
1271C2×C22⋊C4—522no—
1272C2×C22⋊C4C22×D1311yescharacteristic
1273C2×C22⋊C4C22×D1311yescharacteristic
1274C2×C22⋊C4C22×D1311yescharacteristic
1275C2×C22⋊C4C22×D1311yescharacteristic
1276C2×C22⋊C4C22×D1311yescharacteristic
1277C2×C22⋊C4C22×D1311yescharacteristic
1278C2×C22⋊C4C22×D1311yescharacteristic
1279C2×C22⋊C4C22×D1311yescharacteristic
1280C2×C22⋊C4C22×D1311yescharacteristic
1281C2×C22⋊C4C22×D1311yescharacteristic
1282C2×C22⋊C4C22×D1311yescharacteristic
1283C2×C22⋊C4C22×D1311yescharacteristic
1284C2×C22⋊C4C22×D1311yescharacteristic
1285C2×C22⋊C4C22×D1311yescharacteristic, complemented
1286C2×C22⋊C4C22×D1311yescharacteristic, complemented
1287C2×C22⋊C4C22×D1311yescharacteristic, complemented
1288C2×C42—131no—
1289C2×C42—131no—
1290C2×C42—131no—
1291C2×C42—131no—
1292C2×C42—131no—
1293C2×C42C22×D1311yescharacteristic, complemented
1294#95—131no—
1295#95—131no—
1296#95—131no—
1297#95—131no—
1298#95—131no—
1299#95—131no—
1300#95—131no—
1301#95—131no—
1302#95—131no—
1303#95—131no—
1304#95—131no—
1305#95—131no—
1306#95—131no—
1307#95—131no—
1308#95—131no—
1309#95—131no—
1310#95—131no—
1311#95—131no—
1312#95C22×D1311yescharacteristic, complemented
1313#95C22×D1311yescharacteristic, complemented
1314#95C22×D1311yescharacteristic, complemented
1315#95C22×D1311yescharacteristic, complemented
1316#95C22×D1311yescharacteristic, complemented
1317#95C22×D1311yescharacteristic, complemented
1318C2×C13—24no—
1319C2×C13—42no—
1320C2×C13—42no—
1321C2×C13—81no—
1322C2×C13C2×#53811yescharacteristic
1323C2×C13#349011yescharacteristic
1324C2×C13#349011yescharacteristic
1325C2×C13#353211yescharacteristic
1326C2×C13#353211yescharacteristic
1327C2×C13#353211yescharacteristic
1328C2×C13#353211yescharacteristic
1329D13—42no—
1330D13—42no—
1331D13—42no—
1332D13—42no—
1333D13—81no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—41no—
1340C24—41no—
1341C24—131no—
1342C24—131no—
1343C24—131no—
1344C24—131no—
1345C24—134no—
1346C24—131no—
1347C24—262no—
1348C24—262no—
1349C24—262no—
1350C24—262no—
1351C24—262no—
1352C24—262no—
1353C24—262no—
1354C24—262no—
1355C24—262no—
1356C24—262no—
1357C24—262no—
1358C24—262no—
1359C24—262no—
1360C24—262no—
1361C24—262no—
1362C24—262no—
1363C24—262no—
1364C24—262no—
1365C24—262no—
1366C24—521no—
1367C24—521no—
1368C24—521no—
1369C24—521no—
1370C24—521no—
1371C24—521no—
1372C24—521no—
1373C24—521no—
1374C24—521no—
1375C24—521no—
1376C24—521no—
1377C24—521no—
1378C24—521no—
1379C24—521no—
1380C24—521no—
1381C24—521no—
1382C24—521no—
1383C24—521no—
1384C24—521no—
1385C24—521no—
1386C24—521no—
1387C24—521no—
1388C24—5216no—
1389C24—5216no—
1390C24—5216no—
1391C24—5216no—
1392C24—5216no—
1393C24—5216no—
1394C24—5216no—
1395C24C23×D1311yescharacteristic
1396C24C23×D1311yescharacteristic
1397C24C23×D1311yescharacteristic
1398C24C23×D1311yescharacteristic
1399C2×Q8—521no—
1400C2×Q8—521no—
1401C2×Q8—521no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—262no—
1412C2×D4—262no—
1413C2×D4—262no—
1414C2×D4—262no—
1415C2×D4—262no—
1416C2×D4—262no—
1417C2×D4—262no—
1418C2×D4—262no—
1419C2×D4—262no—
1420C2×D4—262no—
1421C2×D4—262no—
1422C2×D4—262no—
1423C2×D4—262no—
1424C2×D4—521no—
1425C2×D4—521no—
1426C2×D4—521no—
1427C2×D4—521no—
1428C2×D4—521no—
1429C2×D4—521no—
1430C2×D4—521no—
1431C2×D4—521no—
1432C2×D4—521no—
1433C2×D4—521no—
1434C2×D4—521no—
1435C2×D4—521no—
1436C2×D4—521no—
1437C2×D4—521no—
1438C2×D4—521no—
1439C2×D4—521no—
1440C2×D4—521no—
1441C2×D4—521no—
1442C2×D4—521no—
1443C2×D4—521no—
1444C2×D4—521no—
1445C2×D4—521no—
1446C2×D4—521no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—131no—
1457C22×C4—131no—
1458C22×C4—131no—
1459C22×C4—131no—
1460C22×C4—131no—
1461C22×C4—131no—
1462C22×C4—131no—
1463C22×C4—131no—
1464C22×C4—131no—
1465C22×C4—131no—
1466C22×C4—131no—
1467C22×C4—262no—
1468C22×C4—262no—
1469C22×C4—521no—
1470C22×C4—521no—
1471C22×C4—521no—
1472C22×C4—521no—
1473C22×C4—521no—
1474C22×C4—521no—
1475C22×C4—521no—
1476C22×C4C23×D1311yescharacteristic
1477C22×C4C23×D1311yescharacteristic
1478C22×C4C23×D1311yescharacteristic
1479C22×C4C23×D1311yescharacteristic
1480C22×C4C23×D1311yescharacteristic
1481C22×C4C23×D1311yescharacteristic
1482C22×C4C23×D1311yescharacteristic
1483C22×C4C23×D1311yescharacteristic
1484C22×C4C23×D1311yescharacteristic
1485C22×C4C23×D1311yescharacteristic
1486C22×C4C23×D1311yescharacteristic
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—521no—
1493C4⋊C4—521no—
1494C4⋊C4—521no—
1495C4⋊C4—521no—
1496C4⋊C4—521no—
1497C4⋊C4—521no—
1498C4⋊C4—521no—
1499C4⋊C4—521no—
1500C4⋊C4—521no—
1501C4⋊C4—521no—
1502C4⋊C4—521no—
1503C4⋊C4—521no—
1504C4⋊C4—521no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—262no—
1522C22⋊C4—262no—
1523C22⋊C4—262no—
1524C22⋊C4—262no—
1525C22⋊C4—262no—
1526C22⋊C4—262no—
1527C22⋊C4—262no—
1528C22⋊C4—262no—
1529C22⋊C4—262no—
1530C22⋊C4—262no—
1531C22⋊C4—262no—
1532C22⋊C4—262no—
1533C22⋊C4—262no—
1534C22⋊C4—262no—
1535C22⋊C4—262no—
1536C22⋊C4—262no—
1537C22⋊C4—262no—
1538C22⋊C4—262no—
1539C22⋊C4—262no—
1540C22⋊C4—521no—
1541C22⋊C4—521no—
1542C22⋊C4—521no—
1543C22⋊C4—521no—
1544C22⋊C4—521no—
1545C22⋊C4—521no—
1546C22⋊C4—521no—
1547C22⋊C4—521no—
1548C22⋊C4—521no—
1549C22⋊C4—521no—
1550C22⋊C4—521no—
1551C22⋊C4—521no—
1552C22⋊C4—521no—
1553C22⋊C4—521no—
1554C22⋊C4—521no—
1555C22⋊C4—521no—
1556C22⋊C4—521no—
1557C22⋊C4—521no—
1558C22⋊C4—521no—
1559C22⋊C4—521no—
1560C22⋊C4—521no—
1561C22⋊C4—521no—
1562C22⋊C4—521no—
1563C22⋊C4—521no—
1564C22⋊C4—521no—
1565C22⋊C4—521no—
1566C22⋊C4—521no—
1567C22⋊C4—521no—
1568C22⋊C4—521no—
1569C22⋊C4—521no—
1570C22⋊C4—521no—
1571C22⋊C4—521no—
1572C22⋊C4—521no—
1573C22⋊C4—521no—
1574C22⋊C4—521no—
1575C22⋊C4—521no—
1576C22⋊C4—521no—
1577C22⋊C4—521no—
1578C22⋊C4—521no—
1579C22⋊C4—521no—
1580C22⋊C4—521no—
1581C22⋊C4—521no—
1582C22⋊C4—521no—
1583C42—41no—
1584C42—521no—
1585C42—521no—
1586C42—521no—
1587C42—521no—
1588C42—521no—
1589C13#3672511yescharacteristic, complemented, Sylow
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—28no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—132no—
1621C23—132no—
1622C23—132no—
1623C23—132no—
1624C23—268no—
1625C23—268no—
1626C23—261no—
1627C23—261no—
1628C23—261no—
1629C23—261no—
1630C23—261no—
1631C23—261no—
1632C23—261no—
1633C23—261no—
1634C23—261no—
1635C23—261no—
1636C23—261no—
1637C23—261no—
1638C23—261no—
1639C23—261no—
1640C23—261no—
1641C23—261no—
1642C23—261no—
1643C23—261no—
1644C23—261no—
1645C23—261no—
1646C23—261no—
1647C23—261no—
1648C23—261no—
1649C23—261no—
1650C23—261no—
1651C23—261no—
1652C23—261no—
1653C23—261no—
1654C23—261no—
1655C23—261no—
1656C23—261no—
1657C23—524no—
1658C23—524no—
1659C23—524no—
1660C23—524no—
1661C23—524no—
1662C23—524no—
1663C23—524no—
1664C23—524no—
1665C23—524no—
1666C23—524no—
1667C23—524no—
1668C23—524no—
1669C23—524no—
1670C23—524no—
1671C23—524no—
1672C23—524no—
1673C23—524no—
1674C23—524no—
1675C23—524no—
1676C23—524no—
1677C23—524no—
1678C23—524no—
1679C23—524no—
1680C23—524no—
1681C23—524no—
1682C23—524no—
1683C23—524no—
1684C23—524no—
1685C23—524no—
1686C23—524no—
1687C23—524no—
1688C23—524no—
1689C23—524no—
1690C23—524no—
1691C23—524no—
1692C23—52128no—
1693C23—524no—
1694C23—524no—
1695C23—524no—
1696C23—524no—
1697C23—524no—
1698C23#8825112yes—
1699C23#8825112yes—
1700C23#41×D1312yes—
1701C23#8825612yes—
1702C23#8825612yes—
1703C23C24×D1311yescharacteristic
1704Q8—1042no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—524no—
1709D4—1042no—
1710D4—1042no—
1711D4—1042no—
1712D4—1042no—
1713D4—1042no—
1714D4—1042no—
1715D4—1042no—
1716D4—1042no—
1717D4—1042no—
1718D4—1042no—
1719D4—1042no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—82no—
1754C2×C4—82no—
1755C2×C4—82no—
1756C2×C4—261no—
1757C2×C4—261no—
1758C2×C4—261no—
1759C2×C4—261no—
1760C2×C4—261no—
1761C2×C4—261no—
1762C2×C4—261no—
1763C2×C4—261no—
1764C2×C4—261no—
1765C2×C4—261no—
1766C2×C4—261no—
1767C2×C4—261no—
1768C2×C4—261no—
1769C2×C4—261no—
1770C2×C4—261no—
1771C2×C4—261no—
1772C2×C4—261no—
1773C2×C4—261no—
1774C2×C4—261no—
1775C2×C4—261no—
1776C2×C4—261no—
1777C2×C4—261no—
1778C2×C4—261no—
1779C2×C4—261no—
1780C2×C4—261no—
1781C2×C4—261no—
1782C2×C4—261no—
1783C2×C4—261no—
1784C2×C4—261no—
1785C2×C4—261no—
1786C2×C4—261no—
1787C2×C4—261no—
1788C2×C4—261no—
1789C2×C4—1042no—
1790C2×C4—1042no—
1791C2×C4—1042no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—416no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—262no—
1821C22—262no—
1822C22—262no—
1823C22—262no—
1824C22—262no—
1825C22—262no—
1826C22—262no—
1827C22—262no—
1828C22—262no—
1829C22—262no—
1830C22—262no—
1831C22—262no—
1832C22—5216no—
1833C22—5216no—
1834C22—5216no—
1835C22—5216no—
1836C22—5216no—
1837C22—5216no—
1838C22—521no—
1839C22—521no—
1840C22—521no—
1841C22—521no—
1842C22—521no—
1843C22—521no—
1844C22—521no—
1845C22—521no—
1846C22—521no—
1847C22—521no—
1848C22—521no—
1849C22—521no—
1850C22—521no—
1851C22—521no—
1852C22—521no—
1853C22—521no—
1854C22—521no—
1855C22—521no—
1856C22—521no—
1857C22—521no—
1858C22—521no—
1859C22—521no—
1860C22—521no—
1861C22#1171936214yes—
1862C22C2×#8825111yescharacteristic
1863C22C2×#8825111yescharacteristic
1864C22C2×#41×D1311yescharacteristic
1865C22C2×#8825611yescharacteristic
1866C22C2×#8825611yescharacteristic
1867C22D13×H(5,𝔽2)11yescharacteristic
1868C22D13×H(5,𝔽2)11yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—521no—
1881C4—521no—
1882C4—521no—
1883C4—521no—
1884C4—521no—
1885C4—521no—
1886C4—521no—
1887C4—521no—
1888C4—521no—
1889C4—521no—
1890C4—521no—
1891C2—24no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—522no—
1896C2—522no—
1897C2—522no—
1898C2—522no—
1899C2—1041no—
1900C2C2×#1171936211yescharacteristic
1901C2#1312851911yescharacteristic
1902C2#1312852211yescharacteristic
1903C2#1312898511yescharacteristic
1904C2#1312898511yescharacteristic
1905C2#1312898611yescharacteristic
1906C2#1312899211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2418C2
hypercenter#2418D13
hypocenterC13#36725
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #13123114C2semidirect
2. #13123112C2semidirect
3. #13121881C2semidirect
4. #13121878C2semidirect
5. #13121876C2semidirect
6. #13121872C2semidirect
7. #13121396C2semidirect
8. #13121395C2semidirect
9. #13121233C2semidirect
10. #13121226C2semidirect
11. #13121225C2semidirect
12. #13121220C2semidirect
13. #13121218C2semidirect
14. #13121213C2semidirect
15. #13121168C2semidirect
16. #13121155C2semidirect
17. #13121064C2semidirect
18. #13121042C2semidirect
19. #13120644C2semidirect
20. #13120576C2semidirect
21. #13119084C2semidirect
22. #13119079C2semidirect
23. #13118967C2semidirect
24. #13118956C2semidirect
25. #13118368C2semidirect
26. #13118366C2semidirect
27. #13118304C2semidirect
28. #13117493C2semidirect
29. #13117490C2semidirect
30. C2×#11718616C2semidirect
31. C13×#2418C2semidirect
33. C2×C13×#123C22semidirect
35. C2×C4×D4×C13C22semidirect
39. C2×#88193C22semidirect
40. C2×#88192C22semidirect
47. C2×#88184C22semidirect
52. C2×#88178C22semidirect
53. C2×#88152C22semidirect
54. C2×#88148C22semidirect
55. C2×#88139C22semidirect
56. C2×#88139C22semidirect
63. C2×#88135C22semidirect
64. C2×#88133C22semidirect
65. C13×#399C22semidirect
66. C13×#397C22semidirect
67. C13×#394C22semidirect
68. C13×#394C22semidirect
69. C13×#388C22semidirect
70. C13×#388C22semidirect
71. C13×#386C22semidirect
72. C13×#386C22semidirect
73. C13×#385C22semidirect
74. C13×#380C22semidirect
77. #11718884C22semidirect
78. #11718883C22semidirect
79. #11718882C22semidirect
80. #11718881C22semidirect
81. #11718874C22semidirect
82. #11718874C22semidirect
83. #11718874C22semidirect
84. #11718874C22semidirect
85. #11718874C22semidirect
86. C4×C22⋊Dic13C22semidirect
87. #11718655C22semidirect
88. #11718655C22semidirect
89. #11718655C22semidirect
90. #11718655C22semidirect
91. #11718655C22semidirect
92. #11718655C22semidirect
93. #11718654C22semidirect
94. #11718653C22semidirect
95. #11718652C22semidirect
96. #11718652C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718651C22semidirect
100. #11718651C22semidirect
101. #11718651C22semidirect
102. #11718651C22semidirect
103. #11718649C22semidirect
104. #11718649C22semidirect
105. #11718622C22semidirect
106. #11718622C22semidirect
107. #11718622C22semidirect
108. #11718622C22semidirect
109. #11718621C22semidirect
110. #11718621C22semidirect
111. #11718621C22semidirect
112. #11718620C22semidirect
113. #11718620C22semidirect
114. #11718620C22semidirect
115. #11718620C22semidirect
116. #11718618C22semidirect
117. #11718618C22semidirect
118. #11718618C22semidirect
119. #11718618C22semidirect
120. #11718617C22semidirect
141. #11718614C22semidirect
142. #11718613C22semidirect
143. #11718613C22semidirect
144. #11718613C22semidirect
145. #11718612C22semidirect
146. #11718612C22semidirect
147. #11718611C22semidirect
148. #11718611C22semidirect
149. #11718609C22semidirect
150. #11718609C22semidirect
151. #11718608C22semidirect
152. #11718607C22semidirect
153. #11718606C22semidirect
154. #11718605C22semidirect
155. #11718605C22semidirect
156. #11718605C22semidirect
157. #11718603C22semidirect
158. C22⋊C4×Dic13C22semidirect
159. #11718601C22semidirect
160. #11718601C22semidirect
161. #11718601C22semidirect
162. #11718600C22semidirect
163. #11718338C22semidirect
164. #11718338C22semidirect
165. #11718336C22semidirect
166. #11718336C22semidirect
167. #11718336C22semidirect
168. #11718336C22semidirect
169. #11718336C22semidirect
170. #11718335C22semidirect
171. #11718334C22semidirect
172. #11718334C22semidirect
173. #11718334C22semidirect
174. #11718333C22semidirect
175. #11718333C22semidirect
176. #11718333C22semidirect
177. #11718331C22semidirect
178. #11718331C22semidirect
179. #11718330C22semidirect
180. #11718330C22semidirect
181. #11718330C22semidirect
182. #11718330C22semidirect
183. #11718330C22semidirect
184. #11718326C22semidirect
185. #11718326C22semidirect
186. #11718326C22semidirect
206. C23×C4×C13C23semidirect
214. C22×C22⋊D13C23semidirect
221. C22×C4×D13C23semidirect
222. C22×Dic26C23semidirect
226. C2×C13×C4⋊C4C23semidirect
227. C2×C13×C4⋊C4C23semidirect
228. C2×C13×C4⋊C4C23semidirect
229. C2×C13×C4⋊C4C23semidirect
230. C2×C13×C4⋊C4C23semidirect
245. C2×C13×C22⋊C4C23semidirect
246. C2×C13×C22⋊C4C23semidirect
247. C2×C13×C22⋊C4C23semidirect
248. C2×C42×C13C23semidirect
264. C2×C22⋊Dic13C23semidirect
265. C2×C22⋊Dic13C23semidirect
266. C2×C22⋊Dic13C23semidirect
320. C2×#6103C23semidirect
321. C2×#6103C23semidirect
322. C2×#6103C23semidirect
323. C2×#6103C23semidirect
324. C2×#6103C23semidirect
325. C2×#6103C23semidirect
326. C2×C4⋊Dic13C23semidirect
327. C2×C4⋊Dic13C23semidirect
328. C2×C4⋊Dic13C23semidirect
329. C2×C4⋊Dic13C23semidirect
330. C2×C4⋊Dic13C23semidirect
332. C2×#6101C23semidirect
333. C2×#6101C23semidirect
334. C2×#6101C23semidirect
335. C2×#6101C23semidirect
336. C2×#6101C23semidirect
337. C2×#6101C23semidirect
338. C2×#6101C23semidirect
339. C2×#6101C23semidirect
340. C2×C4×Dic13C23semidirect
341. C2×C4×Dic13C23semidirect
342. C2×C4×Dic13C23semidirect
343. C2×C4×Dic13C23semidirect
344. C2×C4×Dic13C23semidirect
357. C13×#95C23semidirect
358. C13×#95C23semidirect
359. C13×#95C23semidirect
360. C13×#95C23semidirect
361. C13×#95C23semidirect
362. C13×#95C23semidirect
363. #88071C23semidirect
364. #88071C23semidirect
365. #88071C23semidirect
366. #88071C23semidirect
367. #88071C23semidirect
368. #88071C23semidirect
369. #88071C23semidirect
370. #88071C23semidirect
371. #88071C23semidirect
372. #88071C23semidirect
373. #88071C23semidirect
374. #88071C23semidirect
375. #88071C23semidirect
376. #88071C23semidirect
377. #88071C23semidirect
378. #88071C23semidirect
379. #88071C23semidirect
380. #88071C23semidirect
664. #2418D13semidirect
876. C2×#123C2×D13semidirect
896. C2×C4×D4C2×D13semidirect
906. #399C2×D13semidirect
918. #397C2×D13semidirect
941. #394C2×D13semidirect
942. #394C2×D13semidirect
981. #388C2×D13semidirect
982. #388C2×D13semidirect
993. #386C2×D13semidirect
994. #386C2×D13semidirect
998. #385C2×D13semidirect
1000. #380C2×D13semidirect
1159. C23×C4C22×D13semidirect
1199. C2×C4⋊C4C22×D13semidirect
1200. C2×C4⋊C4C22×D13semidirect
1201. C2×C4⋊C4C22×D13semidirect
1202. C2×C4⋊C4C22×D13semidirect
1203. C2×C4⋊C4C22×D13semidirect
1285. C2×C22⋊C4C22×D13semidirect
1286. C2×C22⋊C4C22×D13semidirect
1287. C2×C22⋊C4C22×D13semidirect
1293. C2×C42C22×D13semidirect
1312. #95C22×D13semidirect
1313. #95C22×D13semidirect
1314. #95C22×D13semidirect
1315. #95C22×D13semidirect
1316. #95C22×D13semidirect
1317. #95C22×D13semidirect
1589. C13#36725semidirect

Maximal subgroups

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

subgroupindex
#131231142
#131231122
#131218812
#131218782
#131218762
#131218722
#131213962
#131213952
#131212332
#131212262
#131212252
#131212202
#131212182
#131212132
#131211682
#131211552
#131210642
#131210422
#131206442
#131205762
#131190842
#131190792
#131189672
#131189562
#131183682
#131183662
#131183042
#131174932
#131174902
C2×#117186162
C13×#24182
#3672513