Finite Group Databasebeta

← #16070794

Subgroups — #16070794

Order 3328.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123122C211yesmaximal, characteristic, complemented
2#13123119C211yesmaximal, characteristic, complemented
3#13122694C211yesmaximal, characteristic, complemented
4#13122496C211yesmaximal, characteristic, complemented
5#13122475C211yesmaximal, characteristic, complemented
6#13122461C211yesmaximal, characteristic, complemented
7#13122461C211yesmaximal, characteristic, complemented
8#13122154C211yesmaximal, characteristic, complemented
9#13122119C211yesmaximal, characteristic, complemented
10#13122056C211yesmaximal, characteristic, complemented
11#13121945C211yesmaximal, characteristic, complemented
12#13121837C211yesmaximal, characteristic, complemented
13#13121630C211yesmaximal, characteristic, complemented
14#13121478C211yesmaximal, characteristic, complemented
15#13121466C211yesmaximal, characteristic, complemented
16#13121379C211yesmaximal, characteristic, complemented
17#13121279C211yesmaximal, characteristic, complemented
18#13121135C211yesmaximal, characteristic, complemented
19#13120553C211yesmaximal, characteristic, complemented
20#13120553C211yesmaximal, characteristic, complemented
21#13119158C211yesmaximal, characteristic, complemented
22#13119087C211yesmaximal, characteristic, complemented
23#13118962C211yesmaximal, characteristic, complemented
24#13118387C211yesmaximal, characteristic, complemented
25#13118370C211yesmaximal, characteristic, complemented
26#13118317C211yesmaximal, characteristic, complemented
27#13118300C211yesmaximal, characteristic, complemented
28#13117496C211yesmaximal, characteristic, complemented
29#13117493C211yesmaximal, characteristic, complemented
30C2×#11718326C211yesmaximal, characteristic, complemented
31C13×#2493C211yesmaximal, characteristic, complemented
32C23×D52C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×#88184C2211yescharacteristic
35C2×#88183C2211yescharacteristic
36C2×#88183C2211yescharacteristic
37C2×C4×C22⋊D13C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C22×#6103C2211yescharacteristic
40C22×#6103C2211yescharacteristic
41C2×#88152C2211yescharacteristic, complemented
42C2×#88150C2211yescharacteristic, complemented
43C2×#88150C2211yescharacteristic, complemented
44C2×#88149C2211yescharacteristic, complemented
45C2×#88149C2211yescharacteristic, complemented
46C2×#88149C2211yescharacteristic, complemented
47C2×#88148C2211yescharacteristic, complemented
48C2×#88136C2211yescharacteristic
49C2×#88136C2211yescharacteristic
50C2×#88136C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×#88135C2211yescharacteristic
53C2×#88132C2211yescharacteristic
54C2×#88129C2211yescharacteristic, complemented
55C13×#401C2211yescharacteristic, complemented
56C13×#400C2211yescharacteristic, complemented
57C13×#400C2211yescharacteristic, complemented
58C13×#400C2211yescharacteristic, complemented
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#387C2211yescharacteristic, complemented
62C13×#385C2211yescharacteristic
63C13×#385C2211yescharacteristic
64C13×#383C2211yescharacteristic, complemented
65C13×#381C2211yescharacteristic
66C13×#381C2211yescharacteristic
67C13×#380C2211yescharacteristic
68C4×C13×C22⋊C4C2211yescharacteristic
69C2×C13×#95C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718871C2211yescharacteristic
72C2×#88071C2211yescharacteristic
73#11718655C2211yescharacteristic, complemented
74#11718655C2211yescharacteristic, complemented
75#11718654C2211yescharacteristic, complemented
76#11718653C2211yescharacteristic, complemented
77#11718652C2211yescharacteristic, complemented
78#11718652C2211yescharacteristic, complemented
79#11718651C2211yescharacteristic, complemented
80#11718651C2211yescharacteristic, complemented
81#11718651C2211yescharacteristic, complemented
82#11718651C2211yescharacteristic, complemented
83#11718650C2211yescharacteristic, complemented
84#11718650C2211yescharacteristic, complemented
85#11718649C2211yescharacteristic, complemented
86#11718649C2211yescharacteristic, complemented
87#11718649C2211yescharacteristic, complemented
88#11718648C2211yescharacteristic, complemented
89#11718648C2211yescharacteristic, complemented
90#11718619C2211yescharacteristic
91#11718619C2211yescharacteristic
92#11718619C2211yescharacteristic
93#11718616C2211yescharacteristic
94#11718616C2211yescharacteristic
95#11718616C2211yescharacteristic
96#11718616C2211yescharacteristic
97#11718611C2211yescharacteristic
98#11718603C2211yescharacteristic
99C22⋊C4×Dic13C2211yescharacteristic
100#11718601C2211yescharacteristic, complemented
101#11718601C2211yescharacteristic, complemented
102#11718601C2211yescharacteristic, complemented
103#11718601C2211yescharacteristic, complemented
104#11718600C2211yescharacteristic, complemented
105#11718600C2211yescharacteristic, complemented
106#11718600C2211yescharacteristic, complemented
107#11718337C2211yescharacteristic, complemented
108#11718336C2211yescharacteristic, complemented
109#11718336C2211yescharacteristic, complemented
110#11718336C2211yescharacteristic, complemented
111#11718336C2211yescharacteristic, complemented
112#11718336C2211yescharacteristic, complemented
113#11718335C2211yescharacteristic, complemented
114#11718335C2211yescharacteristic, complemented
115#11718335C2211yescharacteristic, complemented
116#11718334C2211yescharacteristic, complemented
117#11718334C2211yescharacteristic, complemented
118#11718333C2211yescharacteristic
119#11718333C2211yescharacteristic
120#11718333C2211yescharacteristic
121#11718333C2211yescharacteristic
122#11718333C2211yescharacteristic
123#11718333C2211yescharacteristic
124#11718333C2211yescharacteristic
125#11718333C2211yescharacteristic
126#11718333C2211yescharacteristic, complemented
127#11718333C2211yescharacteristic, complemented
128#11718333C2211yescharacteristic, complemented
129#11718333C2211yescharacteristic, complemented
130#11718333C2211yescharacteristic, complemented
131#11718332C2211yescharacteristic
132#11718332C2211yescharacteristic
133#11718332C2211yescharacteristic
134#11718332C2211yescharacteristic
135#11718332C2211yescharacteristic
136#11718332C2211yescharacteristic
137#11718332C2211yescharacteristic
138#11718332C2211yescharacteristic
139#11718332C2211yescharacteristic, complemented
140#11718331C2211yescharacteristic, complemented
141#11718331C2211yescharacteristic, complemented
142#11718331C2211yescharacteristic, complemented
143#11718331C2211yescharacteristic, complemented
144#11718331C2211yescharacteristic, complemented
145#11718330C2211yescharacteristic, complemented
146#11718330C2211yescharacteristic, complemented
147#11718330C2211yescharacteristic, complemented
148#11718330C2211yescharacteristic, complemented
149#11718330C2211yescharacteristic, complemented
150#11718330C2211yescharacteristic, complemented
151#11718329C2211yescharacteristic, complemented
152#11718329C2211yescharacteristic, complemented
153#11718329C2211yescharacteristic, complemented
154#11718328C2211yescharacteristic, complemented
155#11718328C2211yescharacteristic, complemented
156#11718328C2211yescharacteristic, complemented
157#11718326C2211yescharacteristic
158#11718326C2211yescharacteristic
159#11718326C2211yescharacteristic
160#11718326C2211yescharacteristic
161#11718326C2211yescharacteristic
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic, complemented
166#11718326C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718326C2211yescharacteristic, complemented
175#11718326C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C22×D52—24no—
197C22×D52—42no—
198C22×D52—42no—
199C22×D52C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×C4×D13—42no—
213C22×C4×D13—42no—
214C22×C4×D13—42no—
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×Dic26C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236#88184—42no—
237#88183—42no—
238#88183—42no—
239C4×C22⋊D13—42no—
240C2×#6103—42no—
241C2×#6103—42no—
242C2×#6103—42no—
243C2×#6103C2311yescharacteristic
244C2×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315#88152—42no—
316#88150—42no—
317#88150—42no—
318#88149—42no—
319#88149—42no—
320#88149—42no—
321#88148—42no—
322#88136—24no—
323#88136—24no—
324#88136—42no—
325#88136—42no—
326#88135—42no—
327#88132—42no—
328#88129—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
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#36758—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C23×D13—22no—
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13#4114yes—
385C23×D13C2411yescharacteristic
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C23×D13C2411yescharacteristic
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C22×Dic13—22no—
421C22×Dic13—22no—
422C22×Dic13—22no—
423C22×Dic13—41no—
424C22×Dic13—41no—
425C22×Dic13—41no—
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C2×D52—22no—
437C2×D52—22no—
438C2×D52—22no—
439C2×D52—22no—
440C2×D52—22no—
441C2×D52—22no—
442C2×D52—22no—
443C2×D52—22no—
444C2×D52—22no—
445C2×D52—41no—
446C2×D52—41no—
447C2×D52—41no—
448C2×D52—41no—
449C2×D52—41no—
450C2×D52—41no—
451C2×D52—41no—
452C2×D52—41no—
453C2×D52—416no—
454C2×D52—41no—
455C2×D52—41no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52—41no—
459C2×D52—41no—
460C2×D52—41no—
461C2×D52—41no—
462C2×D52—41no—
463C2×D52—41no—
464C2×D52—41no—
465C2×D52—41no—
466C2×D52—41no—
467C2×D52—41no—
468C2×D52—41no—
469C2×D52—41no—
470C2×D52—41no—
471C2×D52—41no—
472C2×D52—41no—
473C2×D52—41no—
474C2×D52—41no—
475C2×D52—41no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—416no—
489C2×C4×D13—41no—
490C2×C4×D13—41no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13—41no—
495C2×Dic26—22no—
496C2×Dic26—41no—
497C2×Dic26—41no—
498C13×C4⋊C4—22no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4—41no—
502C13×C4⋊C4—41no—
503C13×C4⋊C4—41no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C42×C13—41no—
509C42×C13—41no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
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—41no—
550#6103—41no—
551#6103—41no—
552#6103—41no—
553#6103—41no—
554#6103—41no—
555#6103—41no—
556#6103—41no—
557#6103—41no—
558#6103—41no—
559#6103—41no—
560#6103—41no—
561#6103—41no—
562#6103—41no—
563#6103—41no—
564C4⋊Dic13—41no—
565C4⋊Dic13—41no—
566C4⋊Dic13—41no—
567C4⋊Dic13—41no—
568#6101—22no—
569#6101—22no—
570#6101—41no—
571#6101—41no—
572#6101—41no—
573#6101—41no—
574#6101—41no—
575#6101—41no—
576#6101—41no—
577#6101—41no—
578#6101—41no—
579#6101—41no—
580C4×Dic13—41no—
581C4×Dic13—41no—
582C4×Dic13—41no—
583C4×Dic13—41no—
584#2848—131no—
585#2847—131no—
586#2797—131no—
587#2781—131no—
588#2779—131no—
589#2778—131no—
590#2778—131no—
591#2756—131no—
592#2753—131no—
593#2749—131no—
594#2741—131no—
595#2730—131no—
596#2714—131no—
597#2703—131no—
598#2702—131no—
599#2696—131no—
600#2688—131no—
601#2676—131no—
602#2613—131no—
603#2613—131no—
604#2493D1311yescharacteristic, complemented
605#2488—131no—
606#2480—131no—
607#2472—131no—
608#2425—131no—
609#2424—131no—
610#2419—131no—
611#2418—131no—
612#2321—131no—
613#2321—131no—
614C2×#386—131no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13C2×#4112yes—
620C23×C13H(5,𝔽2)12yes—
621C23×C13H(5,𝔽2)12yes—
622C23×C13C2511yescharacteristic
623C22×D13—28no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—44no—
665C22×D13—44no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—82no—
674C22×D13—82no—
675C22×D13—82no—
676C22×D13—82no—
677C22×D13C2×#4112yes—
678C22×D13C2×#4112yes—
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—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—44no—
721C2×C4×C13—44no—
722C2×C4×C13—82no—
723C2×C4×C13H(5,𝔽2)12yes—
724C22⋊D13—44no—
725C22⋊D13—44no—
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—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—44no—
756C2×Dic13—82no—
757C2×Dic13H(5,𝔽2)12yes—
758D52—44no—
759D52—44no—
760D52—44no—
761D52—44no—
762D52—82no—
763D52—82no—
764D52—82no—
765D52—82no—
766D52—82no—
767D52—82no—
768D52—82no—
769D52—82no—
770D52—82no—
771C4×D13—44no—
772C4×D13—44no—
773C4×D13—44no—
774C4×D13—44no—
775C4×D13—82no—
776C4×D13—82no—
777Dic26—82no—
778C23×D4—131no—
779C24×C4—131no—
780C2×#126—131no—
781C2×#124—131no—
782C2×#123—131no—
783C2×#123—131no—
784C2×#123—131no—
785C2×C22⋊Q8—131no—
786C2×C22⋊Q8—131no—
787C2×C22⋊Q8—131no—
788C2×#121—131no—
789C2×#121—131no—
790C2×#121—131no—
791C2×#121—131no—
792C2×#120—131no—
793C2×#120—131no—
794C2×#120—131no—
795C2×#120—131no—
796C2×C4×D4—131no—
797C2×C4×D4—131no—
798C22×C22⋊C4—131no—
799C22×C22⋊C4—131no—
800C22×C22⋊C4—131no—
801#401C2×D1311yescharacteristic, complemented
802#400—131no—
803#400—131no—
804#400—131no—
805#400C2×D1311yescharacteristic, complemented
806#400C2×D1311yescharacteristic, complemented
807#400C2×D1311yescharacteristic, complemented
808#399—131no—
809#398—131no—
810#398—131no—
811#397—131no—
812#397—131no—
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397—131no—
818#397—131no—
819#397—131no—
820#396—131no—
821#396—131no—
822#396—131no—
823#394—131no—
824#394—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394—131no—
831#394—131no—
832#394—131no—
833#394—131no—
834#394—131no—
835#394—131no—
836#394—131no—
837#394—131no—
838#393—131no—
839#393—131no—
840#392—131no—
841#392—131no—
842#392—131no—
843#392—131no—
844#392—131no—
845#392—131no—
846#392—131no—
847#392—131no—
848#392—131no—
849#391—131no—
850#390—131no—
851#390—131no—
852#390—131no—
853#390—131no—
854#390—131no—
855#390—131no—
856#389—131no—
857#388—131no—
858#388—131no—
859#388—131no—
860#388—131no—
861#388—131no—
862#388—131no—
863#388—131no—
864#388—131no—
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#387—131no—
877#387—131no—
878#387C2×D1311yescharacteristic, complemented
879#387C2×D1311yescharacteristic, complemented
880#387C2×D1311yescharacteristic, complemented
881#386—131no—
882#386—131no—
883#386—131no—
884#386—131no—
885#386—131no—
886#386—131no—
887#386—131no—
888#386—131no—
889#386—131no—
890#386—131no—
891#386—131no—
892#386—131no—
893#386—131no—
894#386—131no—
895#386—131no—
896#386—131no—
897#386—131no—
898#386—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#385—131no—
905#385—131no—
906#385—131no—
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385C2×D1311yescharacteristic
912#385C2×D1311yescharacteristic
913#383C2×D1311yescharacteristic, complemented
914#382—131no—
915#381—131no—
916#381C2×D1311yescharacteristic
917#381C2×D1311yescharacteristic
918#380—131no—
919#380—131no—
920#380—131no—
921#380—131no—
922#380—131no—
923#380—131no—
924#380C2×D1311yescharacteristic
925#379—131no—
926#379—131no—
927#379—131no—
928#379—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4C2×D1311yescharacteristic
931C2×#95—131no—
932C2×#95C2×D1311yescharacteristic
933C22×C13—22no—
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—22no—
937C22×C13—22no—
938C22×C13—22no—
939C22×C13#53814yes—
940C22×C13C22×#4111yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13C2×H(5,𝔽2)11yescharacteristic
944C22×C13C2×H(5,𝔽2)11yescharacteristic
945C22×C13#58511yescharacteristic
946C22×C13#58511yescharacteristic
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—41no—
966C2×D13—41no—
967C2×D13—41no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—41no—
985C2×D13—41no—
986C2×D13—41no—
987C2×D13—41no—
988C2×D13—41no—
989C2×D13—41no—
990C2×D13—88no—
991C4×C13—22no—
992C4×C13—41no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005Dic13—22no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014Dic13—41no—
1015C25—131no—
1016C25—131no—
1017C22×Q8—131no—
1018C22×D4—131no—
1019C22×D4—131no—
1020C22×D4—131no—
1021C22×D4—131no—
1022C22×D4—131no—
1023C22×D4—131no—
1024C22×D4—131no—
1025C22×D4—131no—
1026C22×D4—131no—
1027C22×D4—131no—
1028C22×D4—131no—
1029C22×D4—131no—
1030C22×D4—131no—
1031C22×D4—131no—
1032C22×D4—131no—
1033C22×D4—264no—
1034C22×D4—522no—
1035C22×D4—522no—
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—522no—
1045C23×C4—522no—
1046C23×C4—522no—
1047C23×C4C22×D1311yescharacteristic
1048C23×C4C22×D1311yescharacteristic
1049C23×C4C22×D1311yescharacteristic
1050#126—522no—
1051#124—522no—
1052#123—522no—
1053#123—522no—
1054#123—522no—
1055C22⋊Q8—522no—
1056C22⋊Q8—522no—
1057C22⋊Q8—522no—
1058#121—522no—
1059#121—522no—
1060#121—522no—
1061#121—522no—
1062#120—264no—
1063#120—264no—
1064#120—522no—
1065#120—522no—
1066C4×D4—522no—
1067C4×D4—522no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C4⋊C4C22×D1311yescharacteristic
1087C2×C4⋊C4C22×D1311yescharacteristic
1088C2×C4⋊C4C22×D1311yescharacteristic
1089C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—522no—
1145C2×C22⋊C4—522no—
1146C2×C22⋊C4—522no—
1147C2×C22⋊C4C22×D1311yescharacteristic
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C42—131no—
1152C2×C42—131no—
1153C2×C42—131no—
1154C2×C42—131no—
1155C2×C42C22×D1311yescharacteristic
1156C2×C42C22×D1311yescharacteristic
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#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95C22×D1311yescharacteristic
1178#95C22×D1311yescharacteristic
1179#95C22×D1311yescharacteristic
1180#95C22×D1311yescharacteristic
1181#95C22×D1311yescharacteristic
1182#95C22×D1311yescharacteristic
1183#95C22×D1311yescharacteristic
1184#95C22×D1311yescharacteristic
1185#95C22×D1311yescharacteristic
1186#95C22×D1311yescharacteristic
1187#95C22×D1311yescharacteristic
1188#95C22×D1311yescharacteristic
1189#95C22×D1311yescharacteristic
1190#95C22×D1311yescharacteristic
1191#95C22×D1311yescharacteristic
1192#95C22×D1311yescharacteristic
1193#95C22×D1311yescharacteristic
1194#95C22×D1311yescharacteristic
1195#95C22×D1311yescharacteristic
1196#95C22×D1311yescharacteristic
1197C2×C13—24no—
1198C2×C13C2×#53811yescharacteristic
1199C2×C13#350511yescharacteristic
1200C2×C13#350511yescharacteristic
1201C2×C13#353211yescharacteristic
1202C2×C13#353311yescharacteristic
1203C2×C13#354211yescharacteristic
1204C2×C13#354211yescharacteristic
1205D13—42no—
1206D13—42no—
1207D13—81no—
1208D13—81no—
1209D13—81no—
1210D13—81no—
1211C24—131no—
1212C24—131no—
1213C24—134no—
1214C24—131no—
1215C24—131no—
1216C24—131no—
1217C24—131no—
1218C24—262no—
1219C24—262no—
1220C24—262no—
1221C24—262no—
1222C24—262no—
1223C24—521no—
1224C24—521no—
1225C24—521no—
1226C24—521no—
1227C24—521no—
1228C24—521no—
1229C24—521no—
1230C24—521no—
1231C24C23×D1311yescharacteristic
1232C2×Q8—262no—
1233C2×Q8—521no—
1234C2×Q8—521no—
1235C2×D4—262no—
1236C2×D4—262no—
1237C2×D4—262no—
1238C2×D4—262no—
1239C2×D4—262no—
1240C2×D4—262no—
1241C2×D4—262no—
1242C2×D4—262no—
1243C2×D4—262no—
1244C2×D4—262no—
1245C2×D4—262no—
1246C2×D4—262no—
1247C2×D4—262no—
1248C2×D4—262no—
1249C2×D4—262no—
1250C2×D4—521no—
1251C2×D4—521no—
1252C2×D4—521no—
1253C2×D4—521no—
1254C2×D4—521no—
1255C2×D4—521no—
1256C2×D4—521no—
1257C2×D4—521no—
1258C2×D4—521no—
1259C2×D4—521no—
1260C2×D4—521no—
1261C2×D4—521no—
1262C2×D4—521no—
1263C2×D4—521no—
1264C2×D4—521no—
1265C2×D4—521no—
1266C2×D4—521no—
1267C2×D4—521no—
1268C2×D4—521no—
1269C2×D4—521no—
1270C2×D4—521no—
1271C2×D4—521no—
1272C2×D4—521no—
1273C2×D4—521no—
1274C2×D4—521no—
1275C2×D4—521no—
1276C2×D4—521no—
1277C2×D4—521no—
1278C2×D4—521no—
1279C2×D4—521no—
1280C2×D4—5216no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—131no—
1296C22×C4—131no—
1297C22×C4—131no—
1298C22×C4—131no—
1299C22×C4—131no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—521no—
1308C22×C4—521no—
1309C22×C4—521no—
1310C22×C4—521no—
1311C22×C4—521no—
1312C22×C4—521no—
1313C22×C4—521no—
1314C22×C4—521no—
1315C22×C4—521no—
1316C22×C4—521no—
1317C22×C4—521no—
1318C22×C4—521no—
1319C22×C4—521no—
1320C22×C4—521no—
1321C22×C4—5216no—
1322C22×C4—521no—
1323C22×C4—521no—
1324C22×C4—521no—
1325C22×C4C23×D1311yescharacteristic
1326C22×C4C23×D1311yescharacteristic
1327C22×C4C23×D1311yescharacteristic
1328C22×C4C23×D1311yescharacteristic
1329C22×C4C23×D1311yescharacteristic
1330C22×C4C23×D1311yescharacteristic
1331C22×C4C23×D1311yescharacteristic
1332C22×C4C23×D1311yescharacteristic
1333C22×C4C23×D1311yescharacteristic
1334C22×C4C23×D1311yescharacteristic
1335C22×C4C23×D1311yescharacteristic
1336C22×C4C23×D1311yescharacteristic
1337C22×C4C23×D1311yescharacteristic
1338C22×C4C23×D1311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—262no—
1346C4⋊C4—262no—
1347C4⋊C4—521no—
1348C4⋊C4—521no—
1349C4⋊C4—521no—
1350C4⋊C4—521no—
1351C4⋊C4—521no—
1352C4⋊C4—521no—
1353C4⋊C4—521no—
1354C4⋊C4—521no—
1355C4⋊C4—521no—
1356C4⋊C4—521no—
1357C4⋊C4—521no—
1358C4⋊C4—521no—
1359C4⋊C4—521no—
1360C4⋊C4—521no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—262no—
1366C22⋊C4—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—262no—
1371C22⋊C4—262no—
1372C22⋊C4—262no—
1373C22⋊C4—262no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—262no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C22⋊C4—521no—
1381C22⋊C4—521no—
1382C22⋊C4—521no—
1383C22⋊C4—521no—
1384C22⋊C4—521no—
1385C22⋊C4—521no—
1386C22⋊C4—521no—
1387C22⋊C4—521no—
1388C22⋊C4—521no—
1389C22⋊C4—521no—
1390C22⋊C4—521no—
1391C22⋊C4—521no—
1392C22⋊C4—521no—
1393C22⋊C4—521no—
1394C22⋊C4—521no—
1395C22⋊C4—521no—
1396C22⋊C4—521no—
1397C22⋊C4—521no—
1398C22⋊C4—521no—
1399C22⋊C4—521no—
1400C22⋊C4—521no—
1401C22⋊C4—521no—
1402C22⋊C4—521no—
1403C22⋊C4—521no—
1404C22⋊C4—521no—
1405C22⋊C4—521no—
1406C22⋊C4—521no—
1407C22⋊C4—521no—
1408C22⋊C4—521no—
1409C22⋊C4—521no—
1410C22⋊C4—521no—
1411C22⋊C4—521no—
1412C22⋊C4—521no—
1413C22⋊C4—521no—
1414C22⋊C4—521no—
1415C22⋊C4—521no—
1416C22⋊C4—521no—
1417C22⋊C4—521no—
1418C22⋊C4—521no—
1419C42—41no—
1420C42—41no—
1421C42—521no—
1422C42—521no—
1423C42—521no—
1424C42—521no—
1425C13#3675811yescharacteristic, complemented, Sylow
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—132no—
1431C23—132no—
1432C23—261no—
1433C23—261no—
1434C23—261no—
1435C23—261no—
1436C23—261no—
1437C23—261no—
1438C23—261no—
1439C23—261no—
1440C23—261no—
1441C23—261no—
1442C23—261no—
1443C23—261no—
1444C23—268no—
1445C23—261no—
1446C23—261no—
1447C23—261no—
1448C23—261no—
1449C23—261no—
1450C23—261no—
1451C23—261no—
1452C23—261no—
1453C23—261no—
1454C23—261no—
1455C23—261no—
1456C23—261no—
1457C23—261no—
1458C23—261no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—261no—
1465C23—261no—
1466C23—261no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—524no—
1474C23—524no—
1475C23—524no—
1476C23—524no—
1477C23—524no—
1478C23—524no—
1479C23—524no—
1480C23—524no—
1481C23—524no—
1482C23—1042no—
1483C23—1042no—
1484C23—1042no—
1485C23—1042no—
1486C23#41×D1312yes—
1487C23#8825612yes—
1488C23#8825612yes—
1489C23C24×D1311yescharacteristic
1490Q8—1042no—
1491D4—524no—
1492D4—524no—
1493D4—524no—
1494D4—524no—
1495D4—524no—
1496D4—524no—
1497D4—1042no—
1498D4—1042no—
1499D4—1042no—
1500D4—1042no—
1501D4—1042no—
1502D4—1042no—
1503D4—1042no—
1504D4—1042no—
1505D4—1042no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—82no—
1550C2×C4—132no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—524no—
1581C2×C4—524no—
1582C2×C4—524no—
1583C2×C4—524no—
1584C2×C4—524no—
1585C2×C4—1042no—
1586C2×C4—1042no—
1587C2×C4—1042no—
1588C2×C4#8825612yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—262no—
1596C22—262no—
1597C22—262no—
1598C22—262no—
1599C22—262no—
1600C22—262no—
1601C22—5216no—
1602C22—521no—
1603C22—521no—
1604C22—521no—
1605C22—521no—
1606C22—521no—
1607C22—521no—
1608C22—521no—
1609C22—521no—
1610C22—521no—
1611C22—521no—
1612C22—521no—
1613C22—521no—
1614C22—521no—
1615C22—521no—
1616C22—521no—
1617C22—521no—
1618C22—521no—
1619C22—521no—
1620C22—521no—
1621C22—521no—
1622C22—521no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—521no—
1630C22—521no—
1631C22—521no—
1632C22—521no—
1633C22—521no—
1634C22—521no—
1635C22—521no—
1636C22—521no—
1637C22—521no—
1638C22—1048no—
1639C22#1171940914yes—
1640C22C2×#41×D1311yescharacteristic
1641C22C2×#8825611yescharacteristic
1642C22C2×#8825611yescharacteristic
1643C22C2×#8825611yescharacteristic
1644C22#1171964811yescharacteristic
1645C22D13×H(5,𝔽2)11yescharacteristic
1646C22#1171965211yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—262no—
1662C4—521no—
1663C4—521no—
1664C4—521no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4—521no—
1670C4—521no—
1671C2—24no—
1672C2—522no—
1673C2—522no—
1674C2—1041no—
1675C2—1041no—
1676C2—1041no—
1677C2—1041no—
1678C2C2×#1171940911yescharacteristic
1679C2#1312866811yescharacteristic
1680C2#1312867111yescharacteristic
1681C2#1312899211yescharacteristic
1682C2#1312900211yescharacteristic
1683C2#1312914511yescharacteristic
1684C2#1312914611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2493C2
hypercenter#2493D13
hypocenterC13#36758
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13123122C2semidirect
2. #13123119C2semidirect
3. #13122694C2semidirect
4. #13122496C2semidirect
5. #13122475C2semidirect
6. #13122461C2semidirect
7. #13122461C2semidirect
8. #13122154C2semidirect
9. #13122119C2semidirect
10. #13122056C2semidirect
11. #13121945C2semidirect
12. #13121837C2semidirect
13. #13121630C2semidirect
14. #13121478C2semidirect
15. #13121466C2semidirect
16. #13121379C2semidirect
17. #13121279C2semidirect
18. #13121135C2semidirect
19. #13120553C2semidirect
20. #13120553C2semidirect
21. #13119158C2semidirect
22. #13119087C2semidirect
23. #13118962C2semidirect
24. #13118387C2semidirect
25. #13118370C2semidirect
26. #13118317C2semidirect
27. #13118300C2semidirect
28. #13117496C2semidirect
29. #13117493C2semidirect
30. C2×#11718326C2semidirect
31. C13×#2493C2semidirect
41. C2×#88152C22semidirect
42. C2×#88150C22semidirect
43. C2×#88150C22semidirect
44. C2×#88149C22semidirect
45. C2×#88149C22semidirect
46. C2×#88149C22semidirect
47. C2×#88148C22semidirect
54. C2×#88129C22semidirect
55. C13×#401C22semidirect
56. C13×#400C22semidirect
57. C13×#400C22semidirect
58. C13×#400C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
61. C13×#387C22semidirect
64. C13×#383C22semidirect
73. #11718655C22semidirect
74. #11718655C22semidirect
75. #11718654C22semidirect
76. #11718653C22semidirect
77. #11718652C22semidirect
78. #11718652C22semidirect
79. #11718651C22semidirect
80. #11718651C22semidirect
81. #11718651C22semidirect
82. #11718651C22semidirect
83. #11718650C22semidirect
84. #11718650C22semidirect
85. #11718649C22semidirect
86. #11718649C22semidirect
87. #11718649C22semidirect
88. #11718648C22semidirect
89. #11718648C22semidirect
100. #11718601C22semidirect
101. #11718601C22semidirect
102. #11718601C22semidirect
103. #11718601C22semidirect
104. #11718600C22semidirect
105. #11718600C22semidirect
106. #11718600C22semidirect
107. #11718337C22semidirect
108. #11718336C22semidirect
109. #11718336C22semidirect
110. #11718336C22semidirect
111. #11718336C22semidirect
112. #11718336C22semidirect
113. #11718335C22semidirect
114. #11718335C22semidirect
115. #11718335C22semidirect
116. #11718334C22semidirect
117. #11718334C22semidirect
126. #11718333C22semidirect
127. #11718333C22semidirect
128. #11718333C22semidirect
129. #11718333C22semidirect
130. #11718333C22semidirect
139. #11718332C22semidirect
140. #11718331C22semidirect
141. #11718331C22semidirect
142. #11718331C22semidirect
143. #11718331C22semidirect
144. #11718331C22semidirect
145. #11718330C22semidirect
146. #11718330C22semidirect
147. #11718330C22semidirect
148. #11718330C22semidirect
149. #11718330C22semidirect
150. #11718330C22semidirect
151. #11718329C22semidirect
152. #11718329C22semidirect
153. #11718329C22semidirect
154. #11718328C22semidirect
155. #11718328C22semidirect
156. #11718328C22semidirect
165. #11718326C22semidirect
166. #11718326C22semidirect
167. #11718326C22semidirect
168. #11718326C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
174. #11718326C22semidirect
175. #11718326C22semidirect
176. #11718325C22semidirect
177. #11718321C22semidirect
178. #11718319C22semidirect
179. #11718319C22semidirect
180. #11718318C22semidirect
181. #11718318C22semidirect
182. #11718315C22semidirect
183. #11718313C22semidirect
184. #11718311C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
604. #2493D13semidirect
801. #401C2×D13semidirect
805. #400C2×D13semidirect
806. #400C2×D13semidirect
807. #400C2×D13semidirect
878. #387C2×D13semidirect
879. #387C2×D13semidirect
880. #387C2×D13semidirect
913. #383C2×D13semidirect
1425. C13#36758semidirect

Maximal subgroups

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

subgroupindex
#131231222
#131231192
#131226942
#131224962
#131224752
#131224612
#131221542
#131221192
#131220562
#131219452
#131218372
#131216302
#131214782
#131214662
#131213792
#131212792
#131211352
#131205532
#131191582
#131190872
#131189622
#131183872
#131183702
#131183172
#131183002
#131174962
#131174932
C2×#117183262
C13×#24932
#3675813