Finite Group Databasebeta

← #16035720

Subgroups — #16035720

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123165C211yesmaximal, characteristic, complemented
2#13123155C211yesmaximal, characteristic, complemented
3#13123153C211yesmaximal, characteristic, complemented
4#13123135C211yesmaximal, characteristic, complemented
5#13120898C211yesmaximal, characteristic, complemented
6#13120844C211yesmaximal, characteristic, complemented
7#13120829C211yesmaximal, characteristic, complemented
8#13120821C211yesmaximal, characteristic, complemented
9#13119493C211yesmaximal, characteristic, complemented
10#13119492C211yesmaximal, characteristic, complemented
11#13119399C211yesmaximal, characteristic, complemented
12#13119398C211yesmaximal, characteristic, complemented
13#13119338C211yesmaximal, characteristic, complemented
14#13119162C211yesmaximal, characteristic, complemented
15#13119085C211yesmaximal, characteristic, complemented
16#13118957C211yesmaximal, characteristic, complemented
17#13118894C211yesmaximal, characteristic, complemented
18#13118772C211yesmaximal, characteristic, complemented
19#13118580C211yesmaximal, characteristic, complemented
20#13118501C211yesmaximal, characteristic, complemented
21#13118228C211yesmaximal, characteristic, complemented
22#13118207C211yesmaximal, characteristic
23#13118160C211yesmaximal, characteristic, complemented
24#13117570C211yesmaximal, characteristic, complemented
25#13117492C211yesmaximal, characteristic, complemented
26#13117471C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28C4×#88191C211yesmaximal, characteristic, complemented
29D13×#386C211yesmaximal, characteristic, complemented
30C2×#11718327C211yesmaximal, characteristic, complemented
31C13×#2425C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic, complemented
36C2×C13×#121C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic, complemented
38C2×#88193C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88190C2211yescharacteristic, complemented
42C2×#88183C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic, complemented
45C22×#6103C2211yescharacteristic
46C22×#6103C2211yescharacteristic
47C2×#88178C2211yescharacteristic, complemented
48C22×C4×Dic13C2211yescharacteristic, complemented
49C22×C4×Dic13C2211yescharacteristic, complemented
50C2×#88152C2211yescharacteristic, complemented
51C2×#88150C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C13×#398C2211yescharacteristic, complemented
56C13×#397C2211yescharacteristic, complemented
57C13×#396C2211yescharacteristic, complemented
58C13×#394C2211yescharacteristic, complemented
59C13×#389C2211yescharacteristic, complemented
60C13×#388C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic, complemented
63C13×#385C2211yescharacteristic, complemented
64C13×#380C2211yescharacteristic, complemented
65C2×C13×#95C2211yescharacteristic, complemented
66#11718884C2211yescharacteristic
67#11718882C2211yescharacteristic, complemented
68#11718881C2211yescharacteristic
69#11718881C2211yescharacteristic
70#11718881C2211yescharacteristic
71#11718881C2211yescharacteristic, complemented
72#11718881C2211yescharacteristic, complemented
73#11718874C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic, complemented
76#11718872C2211yescharacteristic, complemented
77#11718872C2211yescharacteristic, complemented
78C4×C22⋊Dic13C2211yescharacteristic, complemented
79C2×#88071C2211yescharacteristic, complemented
80#11718655C2211yescharacteristic, complemented
81#11718654C2211yescharacteristic, complemented
82#11718654C2211yescharacteristic, complemented
83#11718654C2211yescharacteristic, complemented
84#11718653C2211yescharacteristic, complemented
85#11718652C2211yescharacteristic
86#11718652C2211yescharacteristic
87#11718652C2211yescharacteristic
88#11718651C2211yescharacteristic, complemented
89#11718651C2211yescharacteristic, complemented
90#11718651C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic, complemented
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic
99#11718643C2211yescharacteristic, complemented
100#11718642C2211yescharacteristic, complemented
101#11718639C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718639C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106#11718638C2211yescharacteristic, complemented
107#11718635C2211yescharacteristic, complemented
108#11718633C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718622C2211yescharacteristic, complemented
111#11718622C2211yescharacteristic, complemented
112#11718621C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic, complemented
117#11718619C2211yescharacteristic
118#11718619C2211yescharacteristic
119#11718618C2211yescharacteristic, complemented
120#11718618C2211yescharacteristic, complemented
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic, complemented
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718616C2211yescharacteristic
131#11718616C2211yescharacteristic
132#11718614C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718613C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718611C2211yescharacteristic, complemented
137#11718607C2211yescharacteristic, complemented
138#11718607C2211yescharacteristic, complemented
139#11718606C2211yescharacteristic, complemented
140#11718606C2211yescharacteristic, complemented
141#11718606C2211yescharacteristic, complemented
142#11718606C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718605C2211yescharacteristic, complemented
146#11718605C2211yescharacteristic, complemented
147#11718605C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718603C2211yescharacteristic, complemented
151#11718601C2211yescharacteristic, complemented
152C4×#6103C2211yescharacteristic
153C4×#6103C2211yescharacteristic, complemented
154#11718594C2211yescharacteristic, complemented
155#11718337C2211yescharacteristic, complemented
156#11718336C2211yescharacteristic, complemented
157#11718334C2211yescharacteristic, complemented
158#11718334C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718331C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718329C2211yescharacteristic
164#11718328C2211yescharacteristic
165#11718327C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718327C2211yescharacteristic, complemented
172#11718327C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177C13⋊#401C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718311C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C2×D4×D13—24no—
205C2×D4×D13—42no—
206C2×D4×D13—42no—
207C22×D52C2311yescharacteristic
208C22×C4×D13—24no—
209C22×C4×D13—42no—
210C22×C4×D13—42no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C13×#123—42no—
220C13×#123—42no—
221C13×#121—42no—
222C4×D4×C13—42no—
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257#88193—42no—
258#88191—24no—
259#88191—24no—
260#88190—42no—
261#88183—42no—
262C4×C22⋊D13—24no—
263C4×C22⋊D13—42no—
264C2×#6103—24no—
265C2×#6103—24no—
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296#88178—42no—
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13—42no—
309C2×C4×Dic13—42no—
310C2×C4×Dic13C2311yescharacteristic
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
320#88152—42no—
321#88150—24no—
322C22⋊C4×D13—24no—
323C22⋊C4×D13—42no—
324C22⋊C4×D13—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34998—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—22no—
379C23×D13—22no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13#4114yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460D4×D13—416no—
461C2×D52—22no—
462C2×D52—41no—
463C2×D52—41no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—416no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13#4114yes—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C42×C13—41no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103#4114yes—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553#6101—22no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—22no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2854—131no—
575#2853—131no—
576#2852—131no—
577#2850—131no—
578#2653—131no—
579#2649—131no—
580#2648—131no—
581#2648—131no—
582#2518—131no—
583#2518—131no—
584#2510—131no—
585#2510—131no—
586#2505—131no—
587#2488—131no—
588#2480—131no—
589#2472—131no—
590#2467—131no—
591#2459—131no—
592#2444—131no—
593#2437—131no—
594#2425D1311yescharacteristic, complemented
595#2412—131no—
596#2410—131no—
597#2405—131no—
598#2329—131no—
599#2321—131no—
600#2318—131no—
601#2312—131no—
602C4×#120—131no—
603C2×#386—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13C2×#4112yes—
624C23×C13H(5,𝔽2)12yes—
625C23×C13H(5,𝔽2)12yes—
626C23×C13C2511yescharacteristic
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—28no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—28no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—44no—
653C22×D13—44no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13—82no—
657C22×D13—82no—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660C22×D13C2×#4112yes—
661C22×D13C2×#4112yes—
662D4×C13—44no—
663D4×C13—44no—
664D4×C13—82no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—44no—
700C2×C4×C13—44no—
701C2×C4×C13—44no—
702C2×C4×C13—82no—
703C2×C4×C13C2×#4112yes—
704C2×C4×C13C2×#4112yes—
705C22⋊D13—44no—
706C22⋊D13—44no—
707C22⋊D13—44no—
708C22⋊D13—44no—
709C22⋊D13—82no—
710C2×Dic13—28no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—44no—
748C2×Dic13—44no—
749C2×Dic13C2×#4112yes—
750C2×Dic13C2×#4112yes—
751C2×Dic13H(5,𝔽2)12yes—
752D52—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—82no—
759C4×D13—82no—
760Dic26—82no—
761C23×D4—131no—
762C24×C4—131no—
763C2×#126—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123C2×D1311yescharacteristic
767C2×#123C2×D1311yescharacteristic, complemented
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#121C2×D1311yescharacteristic
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4C2×D1311yescharacteristic, complemented
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4—131no—
780C22×C22⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C42—131no—
783C22×C42—131no—
784#401—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400—131no—
789#399—131no—
790#398C2×D1311yescharacteristic, complemented
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397—131no—
798#397C2×D1311yescharacteristic, complemented
799#396—131no—
800#396—131no—
801#396C2×D1311yescharacteristic, complemented
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#394—131no—
808#394—131no—
809#394—131no—
810#394—131no—
811#394C2×D1311yescharacteristic, complemented
812#393—131no—
813#393—131no—
814#392—131no—
815#392—131no—
816#391—131no—
817#391—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#389—131no—
822#389—131no—
823#389C2×D1311yescharacteristic, complemented
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388—131no—
844#388C2×D1311yescharacteristic, complemented
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic, complemented
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385C2×D1311yescharacteristic, complemented
886#383—131no—
887#383—131no—
888#382—131no—
889#382—131no—
890#381—131no—
891#381—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380C2×D1311yescharacteristic, complemented
897#379—131no—
898#379—131no—
899#379—131no—
900#379—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95C2×D1311yescharacteristic, complemented
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13#53814yes—
937C22×C13C22×#4111yescharacteristic
938C22×C13C22×#4111yescharacteristic
939C22×C13C22×#4111yescharacteristic
940C22×C13C2×H(5,𝔽2)11yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13#58511yescharacteristic
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—22no—
950C2×D13—22no—
951C2×D13—22no—
952C2×D13—22no—
953C2×D13—416no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—88no—
966C2×D13#52914yes—
967C4×C13—22no—
968C4×C13—22no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978C4×C13—41no—
979Dic13—22no—
980Dic13—22no—
981Dic13—22no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992C25—131no—
993C25—131no—
994C22×Q8—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—264no—
1002C22×D4—522no—
1003C22×D4—522no—
1004C22×D4C22×D1311yescharacteristic
1005C22×D4C22×D1311yescharacteristic
1006C22×D4C22×D1311yescharacteristic
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—131no—
1017C23×C4—264no—
1018C23×C4—522no—
1019C23×C4—522no—
1020C23×C4C22×D1311yescharacteristic
1021C23×C4C22×D1311yescharacteristic
1022C23×C4C22×D1311yescharacteristic
1023C23×C4C22×D1311yescharacteristic
1024#126—522no—
1025#124—522no—
1026#123—42no—
1027#123—42no—
1028#123—522no—
1029C22⋊Q8—264no—
1030C22⋊Q8—522no—
1031#121—42no—
1032#121—522no—
1033#120—264no—
1034#120—264no—
1035C4×D4—42no—
1036C4×D4—264no—
1037C4×D4—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—264no—
1102C2×C22⋊C4—264no—
1103C2×C22⋊C4—264no—
1104C2×C22⋊C4—522no—
1105C2×C22⋊C4—522no—
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—522no—
1128C2×C42—522no—
1129C2×C42C22×D1311yescharacteristic
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174C2×C13—24no—
1175C2×C13—81no—
1176C2×C13—81no—
1177C2×C13C2×#52911yescharacteristic
1178C2×C13C2×#53811yescharacteristic
1179C2×C13#345911yescharacteristic
1180C2×C13#349011yescharacteristic
1181C2×C13#349411yescharacteristic
1182C2×C13#351311yescharacteristic
1183C2×C13#351911yescharacteristic
1184D13—24no—
1185D13—42no—
1186D13—81no—
1187C24—131no—
1188C24—131no—
1189C24—134no—
1190C24—131no—
1191C24—262no—
1192C24—262no—
1193C24—262no—
1194C24—262no—
1195C24—262no—
1196C24—262no—
1197C24—262no—
1198C24—521no—
1199C24—521no—
1200C24—521no—
1201C24—521no—
1202C24—521no—
1203C24—521no—
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—5216no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—134no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—262no—
1277C22×C4—262no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—5216no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—262no—
1315C4⋊C4—262no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—134no—
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—262no—
1362C22⋊C4—262no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C42—41no—
1381C42—262no—
1382C42—262no—
1383C42—262no—
1384C42—521no—
1385C42—521no—
1386C42—521no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42—521no—
1391C13#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—132no—
1411C23—132no—
1412C23—132no—
1413C23—132no—
1414C23—268no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—268no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23—261no—
1432C23—261no—
1433C23—524no—
1434C23—524no—
1435C23—524no—
1436C23—524no—
1437C23—524no—
1438C23—524no—
1439C23—524no—
1440C23—524no—
1441C23—1042no—
1442C23—1042no—
1443C23—1042no—
1444C23—1042no—
1445C23#8825112yes—
1446C23#8825112yes—
1447C23#41×D1312yes—
1448C23C24×D1311yescharacteristic
1449Q8—1042no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—524no—
1454D4—524no—
1455D4—524no—
1456D4—524no—
1457D4—524no—
1458D4—1042no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—132no—
1498C2×C4—132no—
1499C2×C4—132no—
1500C2×C4—268no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—524no—
1538C2×C4—524no—
1539C2×C4—524no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4—524no—
1543C2×C4—524no—
1544C2×C4—1042no—
1545C2×C4—1042no—
1546C2×C4#41×D1312yes—
1547C2×C4#41×D1312yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—134no—
1569C22—262no—
1570C22—262no—
1571C22—262no—
1572C22—262no—
1573C22—262no—
1574C22—262no—
1575C22—262no—
1576C22—262no—
1577C22—262no—
1578C22—5216no—
1579C22—521no—
1580C22—521no—
1581C22—521no—
1582C22—521no—
1583C22—521no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22—1048no—
1591C22#1171931814yes—
1592C22C2×#8825111yescharacteristic
1593C22C2×#8825111yescharacteristic
1594C22C2×#41×D1311yescharacteristic
1595C22C2×#41×D1311yescharacteristic
1596C22C2×#41×D1311yescharacteristic
1597C22D13×H(5,𝔽2)11yescharacteristic
1598C22#1171965211yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—262no—
1612C4—262no—
1613C4—262no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—264no—
1628C2—522no—
1629C2—1041no—
1630C2D13×#52911yescharacteristic
1631C2C2×#1171931811yescharacteristic
1632C2#1312824411yescharacteristic
1633C2#1312851811yescharacteristic
1634C2#1312856011yescharacteristic
1635C2#1312877111yescharacteristic
1636C2#1312885711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2425C2
prime radical#13118207C2
hypercenter#2425D13
hypocenterC13#34998
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #13123165C2semidirect
2. #13123155C2semidirect
3. #13123153C2semidirect
4. #13123135C2semidirect
5. #13120898C2semidirect
6. #13120844C2semidirect
7. #13120829C2semidirect
8. #13120821C2semidirect
9. #13119493C2semidirect
10. #13119492C2semidirect
11. #13119399C2semidirect
12. #13119398C2semidirect
13. #13119338C2semidirect
14. #13119162C2semidirect
15. #13119085C2semidirect
16. #13118957C2semidirect
17. #13118894C2semidirect
18. #13118772C2semidirect
19. #13118580C2semidirect
20. #13118501C2semidirect
21. #13118228C2semidirect
23. #13118160C2semidirect
24. #13117570C2semidirect
25. #13117492C2semidirect
26. #13117471C2semidirect
27. #13117430C2semidirect
28. C4×#88191C2semidirect
29. D13×#386C2semidirect
30. C2×#11718327C2semidirect
31. C13×#2425C2semidirect
35. C2×C13×#123C22semidirect
37. C2×C4×D4×C13C22semidirect
41. C2×#88190C22semidirect
44. C2×C4×C22⋊D13C22semidirect
47. C2×#88178C22semidirect
48. C22×C4×Dic13C22semidirect
49. C22×C4×Dic13C22semidirect
50. C2×#88152C22semidirect
55. C13×#398C22semidirect
56. C13×#397C22semidirect
57. C13×#396C22semidirect
58. C13×#394C22semidirect
59. C13×#389C22semidirect
60. C13×#388C22semidirect
62. C13×#386C22semidirect
63. C13×#385C22semidirect
64. C13×#380C22semidirect
65. C2×C13×#95C22semidirect
67. #11718882C22semidirect
71. #11718881C22semidirect
72. #11718881C22semidirect
75. #11718874C22semidirect
76. #11718872C22semidirect
77. #11718872C22semidirect
78. C4×C22⋊Dic13C22semidirect
79. C2×#88071C22semidirect
80. #11718655C22semidirect
81. #11718654C22semidirect
82. #11718654C22semidirect
83. #11718654C22semidirect
84. #11718653C22semidirect
88. #11718651C22semidirect
89. #11718651C22semidirect
90. #11718651C22semidirect
96. #11718650C22semidirect
99. #11718643C22semidirect
100. #11718642C22semidirect
101. #11718639C22semidirect
102. #11718639C22semidirect
103. #11718639C22semidirect
104. #11718639C22semidirect
105. #11718639C22semidirect
106. #11718638C22semidirect
107. #11718635C22semidirect
108. #11718633C22semidirect
109. #11718633C22semidirect
110. #11718622C22semidirect
111. #11718622C22semidirect
116. #11718620C22semidirect
119. #11718618C22semidirect
120. #11718618C22semidirect
127. #11718617C22semidirect
132. #11718614C22semidirect
133. #11718613C22semidirect
134. #11718613C22semidirect
135. #11718612C22semidirect
136. #11718611C22semidirect
137. #11718607C22semidirect
138. #11718607C22semidirect
139. #11718606C22semidirect
140. #11718606C22semidirect
141. #11718606C22semidirect
142. #11718606C22semidirect
143. #11718606C22semidirect
144. #11718606C22semidirect
145. #11718605C22semidirect
146. #11718605C22semidirect
147. #11718605C22semidirect
148. #11718605C22semidirect
149. #11718605C22semidirect
150. #11718603C22semidirect
151. #11718601C22semidirect
153. C4×#6103C22semidirect
154. #11718594C22semidirect
155. #11718337C22semidirect
156. #11718336C22semidirect
157. #11718334C22semidirect
158. #11718334C22semidirect
159. #11718331C22semidirect
160. #11718331C22semidirect
161. #11718330C22semidirect
162. #11718330C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718327C22semidirect
172. #11718327C22semidirect
177. C13⋊#401C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718319C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718311C22semidirect
186. #11718307C22semidirect
594. #2425D13semidirect
767. C2×#123C2×D13semidirect
776. C2×C4×D4C2×D13semidirect
790. #398C2×D13semidirect
798. #397C2×D13semidirect
801. #396C2×D13semidirect
811. #394C2×D13semidirect
823. #389C2×D13semidirect
844. #388C2×D13semidirect
874. #386C2×D13semidirect
885. #385C2×D13semidirect
896. #380C2×D13semidirect
915. C2×#95C2×D13semidirect
1391. C13#34998semidirect

Maximal subgroups

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

subgroupindex
#131231652
#131231552
#131231532
#131231352
#131208982
#131208442
#131208292
#131208212
#131194932
#131194922
#131193992
#131193982
#131193382
#131191622
#131190852
#131189572
#131188942
#131187722
#131185802
#131185012
#131182282
#131182072
#131181602
#131175702
#131174922
#131174712
#131174302
C4×#881912
D13×#3862
C2×#117183272
C13×#24252
#3499813