Finite Group Databasebeta

← #16035615

Subgroups — #16035615

Order 3328.

2878 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719220C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13123154C211yesmaximal, characteristic, complemented
4#13123143C211yesmaximal, characteristic, complemented
5#13123131C211yesmaximal, characteristic, complemented
6#13123122C211yesmaximal, characteristic, complemented
7#13120760C211yesmaximal, characteristic, complemented
8#13120739C211yesmaximal, characteristic, complemented
9#13120708C211yesmaximal, characteristic, complemented
10#13120685C211yesmaximal, characteristic, complemented
11#13119088C211yesmaximal, characteristic, complemented
12#13118983C211yesmaximal, characteristic, complemented
13#13118878C211yesmaximal, characteristic, complemented
14#13118830C211yesmaximal, characteristic, complemented
15#13118794C211yesmaximal, characteristic, complemented
16#13118720C211yesmaximal, characteristic, complemented
17#13118652C211yesmaximal, characteristic, complemented
18#13118649C211yesmaximal, characteristic, complemented
19#13118575C211yesmaximal, characteristic, complemented
20#13118501C211yesmaximal, characteristic, complemented
21#13118391C211yesmaximal, characteristic, complemented
22#13118317C211yesmaximal, characteristic, complemented
23#13118305C211yesmaximal, characteristic, complemented
24#13118234C211yesmaximal, characteristic, complemented
25#13118209C211yesmaximal, characteristic
26#13118160C211yesmaximal, characteristic, complemented
27#13117534C211yesmaximal, characteristic, complemented
28#13117463C211yesmaximal, characteristic, complemented
29C4×#88136C211yesmaximal, characteristic, complemented
30C2×#11718650C211yesmaximal, characteristic, complemented
31C13×#2322C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic
37C22×C13×C4⋊C4C2211yescharacteristic, complemented
38C2×#88193C2211yescharacteristic
39C2×D4×Dic13C2211yescharacteristic
40C2×#88184C2211yescharacteristic
41C2×#88183C2211yescharacteristic
42C2×#88183C2211yescharacteristic, complemented
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic, complemented
46C22×#6103C2211yescharacteristic
47C22×#6103C2211yescharacteristic
48C2×#88178C2211yescharacteristic, complemented
49C22×#6101C2211yescharacteristic, complemented
50C4×D4×D13—28no—
51#11719220—28no—
52C2×#88152C2211yescharacteristic, complemented
53C2×#88152C2211yescharacteristic, complemented
54C2×#88150C2211yescharacteristic
55C2×#88150C2211yescharacteristic, complemented
56C2×#88150C2211yescharacteristic, complemented
57C2×#88148C2211yescharacteristic, complemented
58C2×#88148C2211yescharacteristic, complemented
59C2×#88148C2211yescharacteristic, complemented
60C2×#88147C2211yescharacteristic
61C2×C4⋊C4×D13C2211yescharacteristic
62C2×#88143C2211yescharacteristic, complemented
63C2×#88143C2211yescharacteristic, complemented
64C2×#88136C2211yescharacteristic
65C2×#88136C2211yescharacteristic
66C2×#88135C2211yescharacteristic
67C2×#88135C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×#88132C2211yescharacteristic, complemented
71C2×C4×D52C2211yescharacteristic
72C2×C4×D52C2211yescharacteristic
73C2×C4×D52C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic
75C13×#389C2211yescharacteristic, complemented
76C13×#389C2211yescharacteristic, complemented
77C13×#388C2211yescharacteristic, complemented
78C13×#388C2211yescharacteristic, complemented
79C13×#387C2211yescharacteristic, complemented
80C13×#387C2211yescharacteristic, complemented
81C13×#386C2211yescharacteristic
82C13×#385C2211yescharacteristic, complemented
83C13×#385C2211yescharacteristic, complemented
84C13×#385C2211yescharacteristic, complemented
85C13×#381C2211yescharacteristic, complemented
86C4×C13×C22⋊C4C2211yescharacteristic, complemented
87#11718881C2211yescharacteristic
88#11718874C2211yescharacteristic, complemented
89#11718871C2211yescharacteristic, complemented
90C2×#88071C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic, complemented
92#11718655C2211yescharacteristic, complemented
93#11718655C2211yescharacteristic, complemented
94#11718653C2211yescharacteristic, complemented
95#11718653C2211yescharacteristic, complemented
96#11718652C2211yescharacteristic
97#11718652C2211yescharacteristic
98#11718651C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic
100#11718650C2211yescharacteristic
101#11718650C2211yescharacteristic
102#11718650C2211yescharacteristic
103#11718650C2211yescharacteristic
104#11718650C2211yescharacteristic
105#11718650C2211yescharacteristic
106#11718650C2211yescharacteristic, complemented
107#11718650C2211yescharacteristic, complemented
108#11718650C2211yescharacteristic, complemented
109#11718650C2211yescharacteristic, complemented
110#11718650C2211yescharacteristic, complemented
111#11718650C2211yescharacteristic, complemented
112#11718645C2211yescharacteristic, complemented
113#11718645C2211yescharacteristic, complemented
114#11718639C2211yescharacteristic, complemented
115#11718633C2211yescharacteristic, complemented
116#11718622C2211yescharacteristic
117#11718621C2211yescharacteristic
118#11718620C2211yescharacteristic
119#11718620C2211yescharacteristic
120#11718620C2211yescharacteristic, complemented
121#11718619C2211yescharacteristic
122#11718619C2211yescharacteristic
123#11718619C2211yescharacteristic, complemented
124#11718619C2211yescharacteristic, complemented
125#11718619C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718616C2211yescharacteristic
131#11718613C2211yescharacteristic, complemented
132#11718611C2211yescharacteristic, complemented
133#11718610C2211yescharacteristic, complemented
134#11718609C2211yescharacteristic, complemented
135#11718607C2211yescharacteristic, complemented
136#11718607C2211yescharacteristic, complemented
137#11718607C2211yescharacteristic, complemented
138#11718605C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic, complemented
140#11718603C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic, complemented
144C4×#6103C2211yescharacteristic
145C4×#6103C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718594C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718337C2211yescharacteristic, complemented
150#11718336C2211yescharacteristic, complemented
151#11718336C2211yescharacteristic, complemented
152#11718336C2211yescharacteristic, complemented
153#11718336C2211yescharacteristic, complemented
154#11718335C2211yescharacteristic, complemented
155#11718334C2211yescharacteristic, complemented
156#11718333C2211yescharacteristic
157#11718333C2211yescharacteristic, complemented
158#11718333C2211yescharacteristic, complemented
159#11718333C2211yescharacteristic, complemented
160#11718332C2211yescharacteristic
161#11718330C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic
164#11718329C2211yescharacteristic
165#11718329C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718328C2211yescharacteristic
168#11718328C2211yescharacteristic
169#11718328C2211yescharacteristic
170#11718328C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718325C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718317C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718312C2211yescharacteristic, complemented
187#11718311C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
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
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C2×D4×D13—24no—
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×C4×D13—24no—
212C22×C4×D13—24no—
213C22×C4×D13—42no—
214C22×C4×D13—42no—
215C22×C4×D13—42no—
216C22×C4×D13—42no—
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C13×#123—24no—
229C4×D4×C13—24no—
230C2×C13×C4⋊C4—24no—
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257#88193—24no—
258D4×Dic13—24no—
259#88184—24no—
260#88183—24no—
261#88183—24no—
262C4×C22⋊D13—24no—
263C4×C22⋊D13—24no—
264C4×C22⋊D13D418yescomplemented
265C2×#6103—24no—
266C2×#6103—42no—
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×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×C4⋊Dic13C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306#88178—24no—
307C2×#6101—42no—
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88152—24no—
333#88152—24no—
334#88150—24no—
335#88150—24no—
336#88150—42no—
337#88148—24no—
338#88148—24no—
339#88148—42no—
340#88147—24no—
341C4⋊C4×D13—24no—
342#88143—24no—
343#88143—24no—
344#88136—24no—
345#88136—42no—
346#88135—24no—
347#88135—24no—
348C22⋊C4×D13—24no—
349C22⋊C4×D13—24no—
350#88132—42no—
351C4×D52—24no—
352C4×D52—42no—
353C4×D52—42no—
354C42×D13—24no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34991—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—41no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13#4114yes—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—41no—
421C22×C4×C13—41no—
422C22×C4×C13—41no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13C2×D414yes—
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—41no—
450C2×C22⋊D13—41no—
451C2×C22⋊D13C2×D414yes—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—22no—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13—41no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13—41no—
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476D4×D13—232no—
477C2×D52—22no—
478C2×D52—22no—
479C2×D52—22no—
480C2×D52—22no—
481C2×D52—22no—
482C2×D52—22no—
483C2×D52—22no—
484C2×D52—22no—
485C2×D52—41no—
486C2×D52—41no—
487C2×D52—41no—
488C2×D52—41no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—416no—
508C2×C4×D13—416no—
509C2×C4×D13—41no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13—41no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13C2×D414yes—
521C2×Dic26—22no—
522C2×Dic26—41no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—22no—
530C13×C4⋊C4—22no—
531C13×C4⋊C4—41no—
532C13×C4⋊C4—41no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C42×C13—22no—
542C42×C13—41no—
543C42×C13—41no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—41no—
548C22⋊Dic13—41no—
549C22⋊Dic13C2×D414yes—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103—41no—
583#6103C2×D414yes—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—22no—
587C4⋊Dic13—22no—
588C4⋊Dic13—41no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606#6101—41no—
607#6101—41no—
608#6101C2×D414yes—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—22no—
612C4×Dic13C2×D414yes—
613C2×#539—131no—
614C22×C4×D4—131no—
615#2852—131no—
616#2851—131no—
617#2849—131no—
618#2848—131no—
619#2638—131no—
620#2636—131no—
621#2633—131no—
622#2630—131no—
623#2480—131no—
624#2473—131no—
625#2466—131no—
626#2463—131no—
627#2460—131no—
628#2455—131no—
629#2449—131no—
630#2449—131no—
631#2443—131no—
632#2437—131no—
633#2425—131no—
634#2419—131no—
635#2418—131no—
636#2412—131no—
637#2410—131no—
638#2405—131no—
639#2325—131no—
640#2322D1311yescharacteristic, complemented
641#2318—131no—
642C4×#120—131no—
643C2×#385—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13C22×D412yes—
655C23×C13C2×#4112yes—
656C23×C13C2×#4112yes—
657C23×C13C2×#4112yes—
658C23×C13C2511yescharacteristic
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—28no—
664C22×D13—28no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—28no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—21no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13C22×D412yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13H(5,𝔽2)12yes—
700C22×D132−1+412yes—
701D4×C13—28no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—44no—
739C2×C4×C13—44no—
740C2×C4×C13—44no—
741C2×C4×C13—82no—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C22×D412yes—
744C2×C4×C13C2×#4112yes—
745C22⋊D13—28no—
746C22⋊D13—28no—
747C22⋊D13—44no—
748C22⋊D13—82no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—44no—
782C2×Dic13—44no—
783C2×Dic13—44no—
784C2×Dic13—82no—
785C2×Dic13C22×D412yes—
786C2×Dic13C22×D412yes—
787C2×Dic13C22×D412yes—
788C2×Dic13H(5,𝔽2)12yes—
789D52—28no—
790D52—44no—
791D52—44no—
792D52—82no—
793C4×D13—28no—
794C4×D13—28no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—82no—
803Dic26—82no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#539—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#125—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×#123—131no—
816C2×#123—131no—
817C2×#123C2×D1311yescharacteristic
818C2×C22⋊Q8—131no—
819C2×C22⋊Q8—131no—
820C2×C22⋊Q8—131no—
821C2×C22⋊Q8—131no—
822C2×C22⋊Q8—131no—
823C2×#121—131no—
824C2×#121—131no—
825C2×#120—131no—
826C2×#120—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—131no—
835C2×C4×D4—131no—
836C2×C4×D4—131no—
837C2×C4×D4—268no—
838C2×C4×D4C2×D1311yescharacteristic
839C22×C4⋊C4—131no—
840C22×C4⋊C4—131no—
841C22×C4⋊C4C2×D1311yescharacteristic, complemented
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4—131no—
846C22×C42—131no—
847#400—131no—
848#399—131no—
849#399—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#398—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#395—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#389—131no—
880#389—131no—
881#389C2×D1311yescharacteristic, complemented
882#389C2×D1311yescharacteristic, complemented
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388C2×D1311yescharacteristic, complemented
890#388C2×D1311yescharacteristic, complemented
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#387C2×D1311yescharacteristic, complemented
900#387C2×D1311yescharacteristic, complemented
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386C2×D1311yescharacteristic
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#385—131no—
926#385—131no—
927#385—131no—
928#385—131no—
929#385—131no—
930#385—131no—
931#385—131no—
932#385—131no—
933#385—131no—
934#385—131no—
935#385—131no—
936#385—131no—
937#385—131no—
938#385C2×D1311yescharacteristic, complemented
939#385C2×D1311yescharacteristic, complemented
940#385C2×D1311yescharacteristic, complemented
941#383—131no—
942#382—131no—
943#381—131no—
944#381—131no—
945#381C2×D1311yescharacteristic, complemented
946#380—131no—
947#380—131no—
948#380—131no—
949#380—131no—
950#380—131no—
951#380—131no—
952#379—131no—
953#379—131no—
954#379—131no—
955#379—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958C4×C22⋊C4C2×D1311yescharacteristic, complemented
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13#52514yes—
975C22×C13C23×D411yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C2×H(5,𝔽2)11yescharacteristic
979C22×C13C2×H(5,𝔽2)11yescharacteristic
980C22×C13C2×2−1+411yescharacteristic
981C22×C13#58511yescharacteristic
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—22no—
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—416no—
995C2×D13—416no—
996C2×D13—41no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13#53914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—22no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25—131no—
1039C22×Q8—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4—264no—
1049C22×D4—264no—
1050C22×D4—264no—
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—131no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—522no—
1069C23×C4—522no—
1070C23×C4—522no—
1071C23×C4—522no—
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—264no—
1077#126—264no—
1078#125—264no—
1079#125—264no—
1080#123—24no—
1081#123—264no—
1082#123—264no—
1083#123—264no—
1084#123—264no—
1085#123—522no—
1086C22⋊Q8—264no—
1087C22⋊Q8—264no—
1088C22⋊Q8—264no—
1089C22⋊Q8—522no—
1090C22⋊Q8—522no—
1091#121—264no—
1092#121—264no—
1093#120—264no—
1094#120—522no—
1095C4×D4—24no—
1096C4×D4—138no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—264no—
1102C4×D4—264no—
1103C4×D4—264no—
1104C4×D4—522no—
1105C4×D4—522no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—131no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—264no—
1133C2×C4⋊C4—522no—
1134C2×C4⋊C4C22×D1311yescharacteristic
1135C2×C4⋊C4C22×D1311yescharacteristic
1136C2×C4⋊C4C22×D1311yescharacteristic
1137C2×C4⋊C4C22×D1311yescharacteristic
1138C2×C4⋊C4C22×D1311yescharacteristic
1139C2×C4⋊C4C22×D1311yescharacteristic
1140C2×C4⋊C4C22×D1311yescharacteristic
1141C2×C4⋊C4C22×D1311yescharacteristic
1142C2×C4⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—264no—
1184C2×C22⋊C4—264no—
1185C2×C22⋊C4—264no—
1186C2×C22⋊C4—522no—
1187C2×C22⋊C4C22×D1311yescharacteristic
1188C2×C22⋊C4C22×D1311yescharacteristic
1189C2×C22⋊C4C22×D1311yescharacteristic
1190C2×C22⋊C4C22×D1311yescharacteristic
1191C2×C22⋊C4C22×D1311yescharacteristic
1192C2×C22⋊C4C22×D1311yescharacteristic
1193C2×C22⋊C4C22×D1311yescharacteristic
1194C2×C22⋊C4C22×D1311yescharacteristic
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—264no—
1200C2×C42C22×D1311yescharacteristic
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95C22×D1311yescharacteristic
1230#95C22×D1311yescharacteristic
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—24no—
1240C2×C13—42no—
1241C2×C13C2×#52511yescharacteristic
1242C2×C13C2×#53911yescharacteristic
1243C2×C13#345911yescharacteristic
1244C2×C13#348411yescharacteristic
1245C2×C13#348911yescharacteristic
1246C2×C13#351311yescharacteristic
1247C2×C13#352011yescharacteristic
1248D13—24no—
1249D13—42no—
1250D13—42no—
1251D13—81no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—131no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24—521no—
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—521no—
1274C2×Q8—521no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—134no—
1278C2×D4—262no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—262no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—2632no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—521no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4#612714yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—134no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—521no—
1352C22×C4—521no—
1353C22×C4—521no—
1354C22×C4—521no—
1355C22×C4—521no—
1356C22×C4—521no—
1357C22×C4—521no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4—5216no—
1363C22×C4—5216no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4D4×D1314yes—
1371C22×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—134no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—262no—
1405C4⋊C4—262no—
1406C4⋊C4—262no—
1407C4⋊C4—262no—
1408C4⋊C4—262no—
1409C4⋊C4—521no—
1410C4⋊C4—521no—
1411C4⋊C4—521no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C4⋊C4—521no—
1416C4⋊C4—521no—
1417C4⋊C4—521no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—134no—
1427C22⋊C4—134no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—262no—
1450C22⋊C4—262no—
1451C22⋊C4—262no—
1452C22⋊C4—262no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C22⋊C4—521no—
1459C22⋊C4—521no—
1460C22⋊C4—521no—
1461C22⋊C4—521no—
1462C22⋊C4—521no—
1463C22⋊C4—521no—
1464C22⋊C4—521no—
1465C22⋊C4—521no—
1466C42—22no—
1467C42—41no—
1468C42—41no—
1469C42—134no—
1470C42—262no—
1471C42—262no—
1472C42—262no—
1473C13#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—132no—
1485C23—132no—
1486C23—132no—
1487C23—132no—
1488C23—132no—
1489C23—268no—
1490C23—268no—
1491C23—261no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—268no—
1496C23—261no—
1497C23—261no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23C2×#612712yes—
1527C23C2×#612712yes—
1528C23C2×D4×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—1042no—
1532D4—28no—
1533D4—268no—
1534D4—268no—
1535D4—268no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—1042no—
1540D4—1042no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—82no—
1581C2×C4—132no—
1582C2×C4—132no—
1583C2×C4—132no—
1584C2×C4—132no—
1585C2×C4—268no—
1586C2×C4—268no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—524no—
1629C2×C4—1042no—
1630C2×C4—1042no—
1631C2×C4C2×#612712yes—
1632C2×C4C2×D4×D1312yes—
1633C2×C4C2×D4×D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—134no—
1648C22—262no—
1649C22—262no—
1650C22—262no—
1651C22—262no—
1652C22—262no—
1653C22—262no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—5216no—
1661C22—5216no—
1662C22—521no—
1663C22—521no—
1664C22—521no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171925214yes—
1678C22C22×#612711yescharacteristic
1679C22C22×D4×D1311yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22D13×H(5,𝔽2)11yescharacteristic
1682C22D13×H(5,𝔽2)11yescharacteristic
1683C22D13×2−1+411yescharacteristic
1684C22#1171965211yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—262no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—42no—
1712C2—264no—
1713C2—522no—
1714C2—522no—
1715C2—1041no—
1716C2C2×#1171925211yescharacteristic
1717C2D13×#53911yescharacteristic
1718C2#1312824411yescharacteristic
1719C2#1312846811yescharacteristic
1720C2#1312851411yescharacteristic
1721C2#1312877811yescharacteristic
1722C2#1312887511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2322C2
prime radical#13118209C2
hypercenter#2322D13
hypocenterC13#34991
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. C2×#11719220C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13123154C2semidirect
4. #13123143C2semidirect
5. #13123131C2semidirect
6. #13123122C2semidirect
7. #13120760C2semidirect
8. #13120739C2semidirect
9. #13120708C2semidirect
10. #13120685C2semidirect
11. #13119088C2semidirect
12. #13118983C2semidirect
13. #13118878C2semidirect
14. #13118830C2semidirect
15. #13118794C2semidirect
16. #13118720C2semidirect
17. #13118652C2semidirect
18. #13118649C2semidirect
19. #13118575C2semidirect
20. #13118501C2semidirect
21. #13118391C2semidirect
22. #13118317C2semidirect
23. #13118305C2semidirect
24. #13118234C2semidirect
26. #13118160C2semidirect
27. #13117534C2semidirect
28. #13117463C2semidirect
29. C4×#88136C2semidirect
30. C2×#11718650C2semidirect
31. C13×#2322C2semidirect
37. C22×C13×C4⋊C4C22semidirect
42. C2×#88183C22semidirect
45. C2×C4×C22⋊D13C22semidirect
48. C2×#88178C22semidirect
49. C22×#6101C22semidirect
52. C2×#88152C22semidirect
53. C2×#88152C22semidirect
55. C2×#88150C22semidirect
56. C2×#88150C22semidirect
57. C2×#88148C22semidirect
58. C2×#88148C22semidirect
59. C2×#88148C22semidirect
62. C2×#88143C22semidirect
63. C2×#88143C22semidirect
70. C2×#88132C22semidirect
73. C2×C4×D52C22semidirect
75. C13×#389C22semidirect
76. C13×#389C22semidirect
77. C13×#388C22semidirect
78. C13×#388C22semidirect
79. C13×#387C22semidirect
80. C13×#387C22semidirect
82. C13×#385C22semidirect
83. C13×#385C22semidirect
84. C13×#385C22semidirect
85. C13×#381C22semidirect
86. C4×C13×C22⋊C4C22semidirect
88. #11718874C22semidirect
89. #11718871C22semidirect
90. C2×#88071C22semidirect
91. C2×#88071C22semidirect
92. #11718655C22semidirect
93. #11718655C22semidirect
94. #11718653C22semidirect
95. #11718653C22semidirect
98. #11718651C22semidirect
106. #11718650C22semidirect
107. #11718650C22semidirect
108. #11718650C22semidirect
109. #11718650C22semidirect
110. #11718650C22semidirect
111. #11718650C22semidirect
112. #11718645C22semidirect
113. #11718645C22semidirect
114. #11718639C22semidirect
115. #11718633C22semidirect
120. #11718620C22semidirect
123. #11718619C22semidirect
124. #11718619C22semidirect
125. #11718619C22semidirect
126. #11718617C22semidirect
131. #11718613C22semidirect
132. #11718611C22semidirect
133. #11718610C22semidirect
134. #11718609C22semidirect
135. #11718607C22semidirect
136. #11718607C22semidirect
137. #11718607C22semidirect
138. #11718605C22semidirect
139. #11718603C22semidirect
140. #11718603C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
143. #11718601C22semidirect
145. C4×#6103C22semidirect
146. #11718594C22semidirect
147. #11718594C22semidirect
148. #11718594C22semidirect
149. #11718337C22semidirect
150. #11718336C22semidirect
151. #11718336C22semidirect
152. #11718336C22semidirect
153. #11718336C22semidirect
154. #11718335C22semidirect
155. #11718334C22semidirect
157. #11718333C22semidirect
158. #11718333C22semidirect
159. #11718333C22semidirect
161. #11718330C22semidirect
165. #11718329C22semidirect
166. #11718329C22semidirect
170. #11718328C22semidirect
175. #11718326C22semidirect
176. #11718325C22semidirect
177. #11718325C22semidirect
178. #11718319C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718317C22semidirect
182. #11718316C22semidirect
183. #11718316C22semidirect
184. #11718315C22semidirect
185. #11718313C22semidirect
186. #11718312C22semidirect
187. #11718311C22semidirect
188. #11718308C22semidirect
264. C4×C22⋊D13D4semidirect
640. #2322D13semidirect
841. C22×C4⋊C4C2×D13semidirect
881. #389C2×D13semidirect
882. #389C2×D13semidirect
889. #388C2×D13semidirect
890. #388C2×D13semidirect
899. #387C2×D13semidirect
900. #387C2×D13semidirect
938. #385C2×D13semidirect
939. #385C2×D13semidirect
940. #385C2×D13semidirect
945. #381C2×D13semidirect
958. C4×C22⋊C4C2×D13semidirect
1011. C2×D13#539semidirect
1473. C13#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#117192202
C2×C4×D4×D132
#131231542
#131231432
#131231312
#131231222
#131207602
#131207392
#131207082
#131206852
#131190882
#131189832
#131188782
#131188302
#131187942
#131187202
#131186522
#131186492
#131185752
#131185012
#131183912
#131183172
#131183052
#131182342
#131182092
#131181602
#131175342
#131174632
C4×#881362
C2×#117186502
C13×#23222
#3499113