Finite Group Databasebeta

← #16070239

Subgroups — #16070239

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123125C211yesmaximal, characteristic
2#13123122C211yesmaximal, characteristic, complemented
3#13122050C211yesmaximal, characteristic, complemented
4#13122033C211yesmaximal, characteristic, complemented
5#13121929C211yesmaximal, characteristic, complemented
6#13121917C211yesmaximal, characteristic, complemented
7#13121911C211yesmaximal, characteristic, complemented
8#13121910C211yesmaximal, characteristic, complemented
9#13121878C211yesmaximal, characteristic, complemented
10#13121872C211yesmaximal, characteristic, complemented
11#13121488C211yesmaximal, characteristic, complemented
12#13121470C211yesmaximal, characteristic, complemented
13#13121402C211yesmaximal, characteristic
14#13121367C211yesmaximal, characteristic, complemented
15#13121288C211yesmaximal, characteristic, complemented
16#13121254C211yesmaximal, characteristic, complemented
17#13121228C211yesmaximal, characteristic
18#13121029C211yesmaximal, characteristic, complemented
19#13120983C211yesmaximal, characteristic, complemented
20#13120385C211yesmaximal, characteristic, complemented
21#13120263C211yesmaximal, characteristic, complemented
22#13120258C211yesmaximal, characteristic, complemented
23#13120163C211yesmaximal, characteristic, complemented
24#13119062C211yesmaximal, characteristic, complemented
25#13119056C211yesmaximal, characteristic, complemented
26#13119003C211yesmaximal, characteristic, complemented
27#13118933C211yesmaximal, characteristic, complemented
28#13117623C211yesmaximal, characteristic, complemented
29#13117586C211yesmaximal, characteristic, complemented
30#13117218C211yesmaximal, characteristic, complemented
31C13×#2694C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#125C2211yescharacteristic, complemented
34C2×C13×#123C2211yescharacteristic
35C2×#88191C2211yescharacteristic
36C2×#88189C2211yescharacteristic
37C2×#88150C2211yescharacteristic
38C2×#88150C2211yescharacteristic
39C2×#88146C2211yescharacteristic
40C2×#88146C2211yescharacteristic
41C2×#88140C2211yescharacteristic
42C2×#88133C2211yescharacteristic, complemented
43C2×#88132C2211yescharacteristic
44C2×#88130C2211yescharacteristic
45C13×#399C2211yescharacteristic
46C13×#399C2211yescharacteristic, complemented
47C13×#398C2211yescharacteristic, complemented
48C13×#397C2211yescharacteristic, complemented
49C13×#396C2211yescharacteristic, complemented
50C13×#394C2211yescharacteristic
51C13×#390C2211yescharacteristic
52C13×#389C2211yescharacteristic, complemented
53C13×#388C2211yescharacteristic
54C13×#388C2211yescharacteristic, complemented
55C13×#387C2211yescharacteristic, complemented
56C13×#385C2211yescharacteristic
57C13×#380C2211yescharacteristic
58#11718883C2211yescharacteristic
59#11718881C2211yescharacteristic
60#11718873C2211yescharacteristic
61#11718872C2211yescharacteristic
62#11718871C2211yescharacteristic
63#11718655C2211yescharacteristic
64#11718655C2211yescharacteristic
65#11718655C2211yescharacteristic
66#11718655C2211yescharacteristic
67#11718655C2211yescharacteristic
68#11718654C2211yescharacteristic
69#11718653C2211yescharacteristic
70#11718651C2211yescharacteristic
71#11718651C2211yescharacteristic
72#11718651C2211yescharacteristic
73#11718651C2211yescharacteristic
74#11718651C2211yescharacteristic
75#11718650C2211yescharacteristic
76#11718650C2211yescharacteristic
77#11718650C2211yescharacteristic
78#11718650C2211yescharacteristic
79#11718650C2211yescharacteristic
80#11718650C2211yescharacteristic
81#11718648C2211yescharacteristic
82#11718648C2211yescharacteristic
83#11718647C2211yescharacteristic, complemented
84#11718647C2211yescharacteristic, complemented
85#11718646C2211yescharacteristic, complemented
86#11718646C2211yescharacteristic, complemented
87#11718645C2211yescharacteristic, complemented
88#11718645C2211yescharacteristic, complemented
89#11718644C2211yescharacteristic, complemented
90#11718644C2211yescharacteristic, complemented
91#11718644C2211yescharacteristic, complemented
92#11718643C2211yescharacteristic, complemented
93#11718643C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718641C2211yescharacteristic, complemented
96#11718641C2211yescharacteristic, complemented
97#11718640C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101C4⋊C4×Dic13C2211yescharacteristic, complemented
102#11718634C2211yescharacteristic, complemented
103#11718634C2211yescharacteristic, complemented
104#11718633C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718633C2211yescharacteristic, complemented
107#11718622C2211yescharacteristic
108#11718620C2211yescharacteristic
109#11718620C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718619C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718616C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718614C2211yescharacteristic
124#11718613C2211yescharacteristic
125#11718613C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic
127#11718612C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic, complemented
129#11718610C2211yescharacteristic
130#11718610C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic
132#11718609C2211yescharacteristic
133#11718608C2211yescharacteristic, complemented
134#11718607C2211yescharacteristic, complemented
135#11718606C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic
138#11718605C2211yescharacteristic
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic, complemented
141#11718605C2211yescharacteristic, complemented
142#11718604C2211yescharacteristic
143#11718603C2211yescharacteristic
144#11718603C2211yescharacteristic, complemented
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic, complemented
148#11718601C2211yescharacteristic
149#11718601C2211yescharacteristic
150#11718601C2211yescharacteristic
151#11718594C2211yescharacteristic, complemented
152C4×#6101C2211yescharacteristic, complemented
153C4×#6101C2211yescharacteristic, complemented
154#11718590C2211yescharacteristic, complemented
155#11718336C2211yescharacteristic
156#11718336C2211yescharacteristic
157#11718336C2211yescharacteristic
158#11718336C2211yescharacteristic
159#11718335C2211yescharacteristic
160#11718331C2211yescharacteristic
161#11718330C2211yescharacteristic
162#11718330C2211yescharacteristic
163#11718329C2211yescharacteristic
164#11718329C2211yescharacteristic
165#11718328C2211yescharacteristic
166#11718328C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718327C2211yescharacteristic
169#11718325C2211yescharacteristic
170#11718325C2211yescharacteristic
171#11718321C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718319C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C23×Dic13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C22×C4×D13—24no—
195C22×C4×D13—42no—
196C22×C4×D13—42no—
197C22×C4×D13C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×Dic26C2311yescharacteristic
202C13×#125—42no—
203C13×#123—42no—
204C2×C13×C4⋊C4C2311yescharacteristic
205C2×C13×C4⋊C4C2311yescharacteristic
206C2×C13×C4⋊C4C2311yescharacteristic
207C2×C13×C4⋊C4C2311yescharacteristic
208C2×C13×C4⋊C4C2311yescharacteristic
209C2×C13×C4⋊C4C2311yescharacteristic
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C22⋊C4C2311yescharacteristic
217C2×C13×C22⋊C4C2311yescharacteristic
218C2×C13×C22⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C42×C13C2311yescharacteristic
228C2×C42×C13C2311yescharacteristic
229C2×C22⋊Dic13C2311yescharacteristic
230C2×C22⋊Dic13C2311yescharacteristic
231C2×C22⋊Dic13C2311yescharacteristic
232C2×C22⋊Dic13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240#88191—42no—
241#88189—24no—
242C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269C2×C4⋊Dic13C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×#6101C2311yescharacteristic
273C2×#6101C2311yescharacteristic
274C2×#6101C2311yescharacteristic
275C2×#6101C2311yescharacteristic
276C2×#6101C2311yescharacteristic
277C2×#6101C2311yescharacteristic
278C2×#6101C2311yescharacteristic
279C2×#6101C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×C4×Dic13C2311yescharacteristic
293C2×C4×Dic13C2311yescharacteristic
294C2×C4×Dic13C2311yescharacteristic
295C2×C4×Dic13C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301#88150—42no—
302#88150—42no—
303#88146—42no—
304#88146—42no—
305#88140—42no—
306#88133—42no—
307#88132—24no—
308#88130—42no—
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317#88071C2311yescharacteristic
318#88071C2311yescharacteristic
319#88071C2311yescharacteristic
320#88071C2311yescharacteristic
321#88071C2311yescharacteristic
322#88071C2311yescharacteristic
323#88071C2311yescharacteristic
324#88071C2311yescharacteristic
325#88071C2311yescharacteristic
326#88071C2311yescharacteristic
327#88071C2311yescharacteristic
328#88071C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
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#36736—131nomaximal, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C23×D13—22no—
361C23×D13—22no—
362C23×D13—22no—
363C23×D13—41no—
364C23×D13—41no—
365C23×D13—41no—
366C23×D13—41no—
367C23×D13C2411yescharacteristic
368C23×D13C2411yescharacteristic
369C2×D4×C13—22no—
370C2×D4×C13—41no—
371C2×D4×C13—41no—
372C22×C4×C13—22no—
373C22×C4×C13—22no—
374C22×C4×C13—41no—
375C22×C4×C13C2411yescharacteristic
376C22×C4×C13C2411yescharacteristic
377C22×C4×C13C2411yescharacteristic
378C22×C4×C13C2411yescharacteristic
379C22×C4×C13C2411yescharacteristic
380C22×C4×C13C2411yescharacteristic
381C22×C4×C13C2411yescharacteristic
382C22×C4×C13C2411yescharacteristic
383C22×C4×C13C2411yescharacteristic
384C22×C4×C13C2411yescharacteristic
385C22×C4×C13C2411yescharacteristic
386C22×C4×C13C2411yescharacteristic
387C22×C4×C13C2411yescharacteristic
388C2×C22⋊D13—22no—
389C2×C22⋊D13—22no—
390C2×C22⋊D13—41no—
391C2×C22⋊D13—41no—
392C2×C22⋊D13—41no—
393C2×C22⋊D13—41no—
394C22×Dic13—41no—
395C22×Dic13—41no—
396C22×Dic13—41no—
397C22×Dic13—41no—
398C22×Dic13—41no—
399C22×Dic13#4114yes—
400C22×Dic13C2411yescharacteristic
401C22×Dic13C2411yescharacteristic
402C22×Dic13C2411yescharacteristic
403C22×Dic13C2411yescharacteristic
404C22×Dic13C2411yescharacteristic
405C22×Dic13C2411yescharacteristic
406C22×Dic13C2411yescharacteristic
407C22×Dic13C2411yescharacteristic
408C22×Dic13C2411yescharacteristic
409C22×Dic13C2411yescharacteristic
410C22×Dic13C2411yescharacteristic
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C2×C4×D13—22no—
415C2×C4×D13—22no—
416C2×C4×D13—22no—
417C2×C4×D13—22no—
418C2×C4×D13—22no—
419C2×C4×D13—22no—
420C2×C4×D13—22no—
421C2×C4×D13—22no—
422C2×C4×D13—416no—
423C2×C4×D13—41no—
424C2×C4×D13—41no—
425C2×C4×D13—41no—
426C2×C4×D13—41no—
427C2×Dic26—22no—
428C2×Dic26—41no—
429C2×Dic26—41no—
430C13×C4⋊C4—22no—
431C13×C4⋊C4—22no—
432C13×C4⋊C4—22no—
433C13×C4⋊C4—41no—
434C13×C4⋊C4—41no—
435C13×C4⋊C4—41no—
436C13×C4⋊C4—41no—
437C13×C4⋊C4—41no—
438C13×C4⋊C4—41no—
439C13×C4⋊C4—41no—
440C13×C4⋊C4—41no—
441C13×C4⋊C4—41no—
442C13×C22⋊C4—22no—
443C13×C22⋊C4—22no—
444C13×C22⋊C4—41no—
445C13×C22⋊C4—41no—
446C13×C22⋊C4—41no—
447C13×C22⋊C4—41no—
448C13×C22⋊C4—41no—
449C13×C22⋊C4—41no—
450C13×C22⋊C4—41no—
451C13×C22⋊C4—41no—
452C13×C22⋊C4—41no—
453C42×C13—41no—
454C42×C13—41no—
455C22⋊Dic13—22no—
456C22⋊Dic13—22no—
457C22⋊Dic13—22no—
458C22⋊Dic13—22no—
459C22⋊Dic13—41no—
460C22⋊Dic13—41no—
461C22⋊Dic13—41no—
462C22⋊Dic13—41no—
463C22⋊Dic13—41no—
464C22⋊Dic13—41no—
465C22⋊Dic13—41no—
466#6103—22no—
467#6103—22no—
468#6103—22no—
469#6103—22no—
470#6103—22no—
471#6103—22no—
472#6103—22no—
473#6103—22no—
474#6103—41no—
475#6103—41no—
476#6103—41no—
477#6103—41no—
478#6103—41no—
479#6103—41no—
480#6103—41no—
481#6103—41no—
482#6103—41no—
483#6103—41no—
484#6103—41no—
485#6103—41no—
486#6103—41no—
487#6103—41no—
488C4⋊Dic13—22no—
489C4⋊Dic13—22no—
490C4⋊Dic13—41no—
491C4⋊Dic13—41no—
492C4⋊Dic13—41no—
493C4⋊Dic13—41no—
494C4⋊Dic13—41no—
495C4⋊Dic13—41no—
496#6101—22no—
497#6101—22no—
498#6101—22no—
499#6101—22no—
500#6101—22no—
501#6101—41no—
502#6101—41no—
503#6101—41no—
504#6101—41no—
505#6101—41no—
506#6101—41no—
507#6101—41no—
508#6101—41no—
509#6101—41no—
510#6101—41no—
511#6101—41no—
512#6101—41no—
513#6101—41no—
514#6101—41no—
515#6101—41no—
516C4×Dic13—41no—
517C4×Dic13—41no—
518C4×Dic13—41no—
519C4×Dic13—41no—
520C4×Dic13—41no—
521C4×Dic13—41no—
522C4×Dic13—41no—
523C4×Dic13—41no—
524C4×Dic13—41no—
525#2849—131no—
526#2848—131no—
527#2748—131no—
528#2747—131no—
529#2740—131no—
530#2739—131no—
531#2738—131no—
532#2738—131no—
533#2735—131no—
534#2735—131no—
535#2704—131no—
536#2702—131no—
537#2697—131no—
538#2695—131no—
539#2694D1311yescharacteristic, complemented
540#2689—131no—
541#2687—131no—
542#2685—131no—
543#2667—131no—
544#2663—131no—
545#2597—131no—
546#2587—131no—
547#2587—131no—
548#2578—131no—
549#2479—131no—
550#2478—131no—
551#2475—131no—
552#2470—131no—
553#2335—131no—
554#2332—131no—
555#2280—131no—
556C23×C13—21no—
557C23×C13—21no—
558C23×C13—21no—
559C23×C13—21no—
560C23×C13—21no—
561C23×C13—21no—
562C23×C13—21no—
563C23×C13—21no—
564C23×C13—21no—
565C23×C13—21no—
566C23×C13—21no—
567C23×C13—21no—
568C23×C13—21no—
569C23×C13C2×#4112yes—
570C23×C13C2511yescharacteristic
571C22×D13—21no—
572C22×D13—21no—
573C22×D13—21no—
574C22×D13—21no—
575C22×D13—21no—
576C22×D13—21no—
577C22×D13—21no—
578C22×D13—21no—
579C22×D13—21no—
580C22×D13—21no—
581C22×D13—21no—
582C22×D13—21no—
583C22×D13—44no—
584C22×D13—44no—
585C22×D13—44no—
586C22×D13—44no—
587C22×D13—44no—
588C22×D13—44no—
589C22×D13—44no—
590C22×D13H(5,𝔽2)12yes—
591C22×D132−1+412yes—
592D4×C13—82no—
593C2×C4×C13—21no—
594C2×C4×C13—21no—
595C2×C4×C13—21no—
596C2×C4×C13—21no—
597C2×C4×C13—21no—
598C2×C4×C13—21no—
599C2×C4×C13—21no—
600C2×C4×C13—21no—
601C2×C4×C13—21no—
602C2×C4×C13—21no—
603C2×C4×C13—21no—
604C2×C4×C13—21no—
605C2×C4×C13—21no—
606C2×C4×C13—21no—
607C2×C4×C13—21no—
608C2×C4×C13—21no—
609C2×C4×C13—21no—
610C2×C4×C13—21no—
611C2×C4×C13—21no—
612C2×C4×C13—21no—
613C2×C4×C13—21no—
614C2×C4×C13—21no—
615C2×C4×C13—21no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—21no—
619C2×C4×C13—21no—
620C2×C4×C13—21no—
621C2×C4×C13—21no—
622C2×C4×C13—21no—
623C2×C4×C13—21no—
624C2×C4×C13—21no—
625C2×C4×C13—21no—
626C2×C4×C13—21no—
627C2×C4×C13—21no—
628C2×C4×C13—21no—
629C2×C4×C13—21no—
630C2×C4×C13—21no—
631C2×C4×C13—44no—
632C2×C4×C13H(5,𝔽2)12yes—
633C22⋊D13—82no—
634C22⋊D13—82no—
635C2×Dic13—21no—
636C2×Dic13—21no—
637C2×Dic13—21no—
638C2×Dic13—21no—
639C2×Dic13—21no—
640C2×Dic13—21no—
641C2×Dic13—21no—
642C2×Dic13—21no—
643C2×Dic13—21no—
644C2×Dic13—21no—
645C2×Dic13—21no—
646C2×Dic13—21no—
647C2×Dic13—21no—
648C2×Dic13—21no—
649C2×Dic13—21no—
650C2×Dic13—21no—
651C2×Dic13—21no—
652C2×Dic13—21no—
653C2×Dic13—21no—
654C2×Dic13—21no—
655C2×Dic13—21no—
656C2×Dic13—21no—
657C2×Dic13—21no—
658C2×Dic13—21no—
659C2×Dic13—21no—
660C2×Dic13—21no—
661C2×Dic13—21no—
662C2×Dic13—21no—
663C2×Dic13—21no—
664C2×Dic13—21no—
665C2×Dic13—21no—
666C2×Dic13—21no—
667C2×Dic13—21no—
668C2×Dic13—21no—
669C2×Dic13—21no—
670C2×Dic13—21no—
671C2×Dic13—21no—
672C2×Dic13—21no—
673C2×Dic13—21no—
674C2×Dic13—21no—
675C2×Dic13—44no—
676C2×Dic13—82no—
677C2×Dic13C2×#4112yes—
678C2×Dic13C2×#4112yes—
679C4×D13—28no—
680C4×D13—44no—
681C4×D13—44no—
682C4×D13—44no—
683Dic26—82no—
684C24×C4—131no—
685C2×#126—131no—
686C2×#126—131no—
687C2×#125C2×D1311yescharacteristic, complemented
688C2×#123—131no—
689C2×#123—131no—
690C2×#123C2×D1311yescharacteristic
691C2×C22⋊Q8—131no—
692C2×C22⋊Q8—131no—
693C2×C22⋊Q8—131no—
694C2×#120—131no—
695C2×#117—131no—
696C2×#117—131no—
697#400—131no—
698#400—131no—
699#400—131no—
700#400—131no—
701#400—131no—
702#400—131no—
703#400—131no—
704#399—131no—
705#399—131no—
706#399—131no—
707#399C2×D1311yescharacteristic
708#399C2×D1311yescharacteristic, complemented
709#398—131no—
710#398—131no—
711#398—131no—
712#398—131no—
713#398—131no—
714#398—131no—
715#398—131no—
716#398—131no—
717#398—131no—
718#398C2×D1311yescharacteristic, complemented
719#397—131no—
720#397—131no—
721#397—131no—
722#397—131no—
723#397—131no—
724#397—131no—
725#397—131no—
726#397—131no—
727#397—131no—
728#397C2×D1311yescharacteristic, complemented
729#396—131no—
730#396—131no—
731#396—131no—
732#396—131no—
733#396—131no—
734#396—131no—
735#396—131no—
736#396C2×D1311yescharacteristic, complemented
737#395—131no—
738#394—131no—
739#394—131no—
740#394—131no—
741#394—131no—
742#394—131no—
743#394C2×D1311yescharacteristic
744#393—131no—
745#391—131no—
746#391—131no—
747#390—131no—
748#390—131no—
749#390C2×D1311yescharacteristic
750#389—131no—
751#389—131no—
752#389—131no—
753#389—131no—
754#389—131no—
755#389—131no—
756#389—131no—
757#389—131no—
758#389C2×D1311yescharacteristic, complemented
759#388—131no—
760#388—131no—
761#388—131no—
762#388—131no—
763#388—131no—
764#388—131no—
765#388—131no—
766#388—131no—
767#388—131no—
768#388—131no—
769#388—131no—
770#388—131no—
771#388—131no—
772#388—131no—
773#388—131no—
774#388—131no—
775#388—131no—
776#388—131no—
777#388—131no—
778#388—131no—
779#388C2×D1311yescharacteristic
780#388C2×D1311yescharacteristic, complemented
781#387—131no—
782#387—131no—
783#387—131no—
784#387—131no—
785#387—131no—
786#387—131no—
787#387—131no—
788#387—131no—
789#387—131no—
790#387—131no—
791#387—131no—
792#387—131no—
793#387—131no—
794#387C2×D1311yescharacteristic, complemented
795#386—131no—
796#386—131no—
797#386—131no—
798#386—131no—
799#386—131no—
800#386—131no—
801#385—131no—
802#385—131no—
803#385—131no—
804#385—131no—
805#385—131no—
806#385—131no—
807#385—131no—
808#385—131no—
809#385—131no—
810#385—131no—
811#385—131no—
812#385C2×D1311yescharacteristic
813#383—131no—
814#381—131no—
815#381—131no—
816#381—131no—
817#381—131no—
818#380—131no—
819#380—131no—
820#380—131no—
821#380—131no—
822#380—131no—
823#380—131no—
824#380—131no—
825#380C2×D1311yescharacteristic
826#379—131no—
827#379—131no—
828#379—131no—
829#379—131no—
830#379—131no—
831C4×C4⋊C4—131no—
832C4×C4⋊C4—131no—
833C4×C4⋊C4—131no—
834C4×C22⋊C4—131no—
835C4×C22⋊C4—131no—
836C4×C22⋊C4—131no—
837C4×C22⋊C4—131no—
838C4×C22⋊C4—131no—
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—41no—
843C22×C13—41no—
844C22×C13—41no—
845C22×C13—41no—
846C22×C13—41no—
847C22×C13—41no—
848C22×C13—41no—
849C22×C13—41no—
850C22×C13—41no—
851C22×C13—41no—
852C22×C13—41no—
853C22×C13C22×#4111yescharacteristic
854C22×C13C2×H(5,𝔽2)11yescharacteristic
855C22×C13C2×H(5,𝔽2)11yescharacteristic
856C22×C13C2×2−1+411yescharacteristic
857C22×C13#58511yescharacteristic
858C22×C13#58511yescharacteristic
859C22×C13#58511yescharacteristic
860C2×D13—22no—
861C2×D13—22no—
862C2×D13—22no—
863C2×D13—22no—
864C2×D13—22no—
865C2×D13—22no—
866C2×D13—416no—
867C2×D13—41no—
868C2×D13—41no—
869C2×D13—41no—
870C2×D13—41no—
871C2×D13—41no—
872C2×D13—41no—
873C2×D13—41no—
874C2×D13—41no—
875C4×C13—22no—
876C4×C13—41no—
877C4×C13—41no—
878C4×C13—41no—
879C4×C13—41no—
880C4×C13—41no—
881C4×C13—41no—
882C4×C13—41no—
883C4×C13—41no—
884C4×C13—41no—
885C4×C13—41no—
886C4×C13—41no—
887C4×C13—41no—
888Dic13—22no—
889Dic13—22no—
890Dic13—41no—
891Dic13—41no—
892Dic13—41no—
893Dic13—41no—
894Dic13—41no—
895Dic13—41no—
896Dic13—41no—
897Dic13—41no—
898Dic13—41no—
899Dic13—41no—
900Dic13—41no—
901Dic13—41no—
902C25—131no—
903C22×Q8—131no—
904C22×D4—131no—
905C22×D4—131no—
906C22×D4C22×D1311yescharacteristic
907C23×C4—131no—
908C23×C4—131no—
909C23×C4—131no—
910C23×C4—131no—
911C23×C4—131no—
912C23×C4—131no—
913C23×C4—264no—
914C23×C4—522no—
915C23×C4—522no—
916C23×C4C22×D1311yescharacteristic
917#126—522no—
918#126—522no—
919#125—42no—
920#123—42no—
921#123—264no—
922#123—522no—
923C22⋊Q8—264no—
924C22⋊Q8—522no—
925C22⋊Q8—522no—
926#120—522no—
927#117—522no—
928#117—522no—
929C2×C4⋊C4—131no—
930C2×C4⋊C4—131no—
931C2×C4⋊C4—131no—
932C2×C4⋊C4—131no—
933C2×C4⋊C4—131no—
934C2×C4⋊C4—131no—
935C2×C4⋊C4—131no—
936C2×C4⋊C4—131no—
937C2×C4⋊C4—131no—
938C2×C4⋊C4—131no—
939C2×C4⋊C4—131no—
940C2×C4⋊C4—131no—
941C2×C4⋊C4—131no—
942C2×C4⋊C4—131no—
943C2×C4⋊C4—131no—
944C2×C4⋊C4—131no—
945C2×C4⋊C4—131no—
946C2×C4⋊C4—131no—
947C2×C4⋊C4—131no—
948C2×C4⋊C4—131no—
949C2×C4⋊C4—131no—
950C2×C4⋊C4—131no—
951C2×C4⋊C4—131no—
952C2×C4⋊C4—131no—
953C2×C4⋊C4—131no—
954C2×C4⋊C4—131no—
955C2×C4⋊C4—131no—
956C2×C4⋊C4—131no—
957C2×C4⋊C4C22×D1311yescharacteristic
958C2×C4⋊C4C22×D1311yescharacteristic
959C2×C4⋊C4C22×D1311yescharacteristic
960C2×C4⋊C4C22×D1311yescharacteristic
961C2×C4⋊C4C22×D1311yescharacteristic
962C2×C4⋊C4C22×D1311yescharacteristic
963C2×C4⋊C4C22×D1311yescharacteristic
964C2×C4⋊C4C22×D1311yescharacteristic
965C2×C4⋊C4C22×D1311yescharacteristic
966C2×C4⋊C4C22×D1311yescharacteristic
967C2×C4⋊C4C22×D1311yescharacteristic
968C2×C4⋊C4C22×D1311yescharacteristic
969C2×C22⋊C4—131no—
970C2×C22⋊C4—131no—
971C2×C22⋊C4—131no—
972C2×C22⋊C4—131no—
973C2×C22⋊C4—131no—
974C2×C22⋊C4—131no—
975C2×C22⋊C4—131no—
976C2×C22⋊C4—131no—
977C2×C22⋊C4—131no—
978C2×C22⋊C4—131no—
979C2×C22⋊C4—131no—
980C2×C22⋊C4—131no—
981C2×C22⋊C4—131no—
982C2×C22⋊C4—131no—
983C2×C22⋊C4—131no—
984C2×C22⋊C4—131no—
985C2×C22⋊C4—131no—
986C2×C22⋊C4—131no—
987C2×C22⋊C4—131no—
988C2×C22⋊C4—131no—
989C2×C22⋊C4—131no—
990C2×C22⋊C4—131no—
991C2×C22⋊C4—131no—
992C2×C22⋊C4—131no—
993C2×C22⋊C4—131no—
994C2×C22⋊C4—131no—
995C2×C22⋊C4—131no—
996C2×C22⋊C4—131no—
997C2×C22⋊C4—131no—
998C2×C22⋊C4—131no—
999C2×C22⋊C4—131no—
1000C2×C22⋊C4—131no—
1001C2×C22⋊C4—131no—
1002C2×C22⋊C4C22×D1311yescharacteristic
1003C2×C22⋊C4C22×D1311yescharacteristic
1004C2×C22⋊C4C22×D1311yescharacteristic
1005C2×C22⋊C4C22×D1311yescharacteristic
1006C2×C22⋊C4C22×D1311yescharacteristic
1007C2×C22⋊C4C22×D1311yescharacteristic
1008C2×C22⋊C4C22×D1311yescharacteristic
1009C2×C22⋊C4C22×D1311yescharacteristic
1010C2×C22⋊C4C22×D1311yescharacteristic
1011C2×C22⋊C4C22×D1311yescharacteristic
1012C2×C22⋊C4C22×D1311yescharacteristic
1013C2×C42—131no—
1014C2×C42—131no—
1015C2×C42—131no—
1016C2×C42—131no—
1017C2×C42—131no—
1018C2×C42—131no—
1019C2×C42—131no—
1020C2×C42—131no—
1021C2×C42—131no—
1022C2×C42C22×D1311yescharacteristic
1023C2×C42C22×D1311yescharacteristic
1024#95—131no—
1025#95—131no—
1026#95—131no—
1027#95—131no—
1028#95—131no—
1029#95—131no—
1030#95—131no—
1031#95—131no—
1032#95—131no—
1033#95—131no—
1034#95—131no—
1035#95—131no—
1036#95—131no—
1037#95—131no—
1038#95—131no—
1039#95—131no—
1040#95—131no—
1041#95—131no—
1042#95—131no—
1043#95—131no—
1044#95—131no—
1045#95—131no—
1046#95—131no—
1047#95—131no—
1048#95—131no—
1049#95—131no—
1050#95—131no—
1051#95—131no—
1052#95—131no—
1053#95—131no—
1054#95—131no—
1055#95—131no—
1056#95—131no—
1057#95—131no—
1058#95—131no—
1059#95—131no—
1060#95—131no—
1061#95—131no—
1062#95—131no—
1063#95—131no—
1064#95C22×D1311yescharacteristic
1065#95C22×D1311yescharacteristic
1066#95C22×D1311yescharacteristic
1067#95C22×D1311yescharacteristic
1068#95C22×D1311yescharacteristic
1069#95C22×D1311yescharacteristic
1070#95C22×D1311yescharacteristic
1071#95C22×D1311yescharacteristic
1072C2×C13—42no—
1073C2×C13—81no—
1074C2×C13#345511yescharacteristic
1075C2×C13#349011yescharacteristic
1076C2×C13#349511yescharacteristic
1077C2×C13#353311yescharacteristic
1078C2×C13#353511yescharacteristic
1079C2×C13#353911yescharacteristic
1080C2×C13#354111yescharacteristic
1081D13—42no—
1082D13—42no—
1083C24—131no—
1084C24—131no—
1085C24—262no—
1086C24—262no—
1087C24—262no—
1088C24—521no—
1089C24—521no—
1090C24—521no—
1091C24—521no—
1092C24C23×D1311yescharacteristic
1093C24C23×D1311yescharacteristic
1094C2×Q8—262no—
1095C2×Q8—521no—
1096C2×Q8—521no—
1097C2×D4—22no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—262no—
1101C2×D4—262no—
1102C2×D4—521no—
1103C2×D4—521no—
1104C2×D4—521no—
1105C2×D4—521no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—41no—
1109C22×C4—131no—
1110C22×C4—131no—
1111C22×C4—134no—
1112C22×C4—131no—
1113C22×C4—131no—
1114C22×C4—131no—
1115C22×C4—131no—
1116C22×C4—131no—
1117C22×C4—131no—
1118C22×C4—131no—
1119C22×C4—131no—
1120C22×C4—131no—
1121C22×C4—131no—
1122C22×C4—131no—
1123C22×C4—131no—
1124C22×C4—262no—
1125C22×C4—262no—
1126C22×C4—262no—
1127C22×C4—262no—
1128C22×C4—262no—
1129C22×C4—262no—
1130C22×C4—262no—
1131C22×C4—262no—
1132C22×C4—521no—
1133C22×C4—521no—
1134C22×C4—521no—
1135C22×C4—521no—
1136C22×C4—5216no—
1137C22×C4—521no—
1138C22×C4—521no—
1139C22×C4—521no—
1140C22×C4—521no—
1141C22×C4—521no—
1142C22×C4C23×D1311yescharacteristic
1143C22×C4C23×D1311yescharacteristic
1144C22×C4C23×D1311yescharacteristic
1145C22×C4C23×D1311yescharacteristic
1146C22×C4C23×D1311yescharacteristic
1147C22×C4C23×D1311yescharacteristic
1148C22×C4C23×D1311yescharacteristic
1149C22×C4C23×D1311yescharacteristic
1150C22×C4C23×D1311yescharacteristic
1151C22×C4C23×D1311yescharacteristic
1152C22×C4C23×D1311yescharacteristic
1153C22×C4C23×D1311yescharacteristic
1154C22×C4C23×D1311yescharacteristic
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—262no—
1168C4⋊C4—262no—
1169C4⋊C4—262no—
1170C4⋊C4—262no—
1171C4⋊C4—262no—
1172C4⋊C4—262no—
1173C4⋊C4—262no—
1174C4⋊C4—521no—
1175C4⋊C4—521no—
1176C4⋊C4—521no—
1177C4⋊C4—521no—
1178C4⋊C4—521no—
1179C4⋊C4—521no—
1180C4⋊C4—521no—
1181C4⋊C4—521no—
1182C4⋊C4—521no—
1183C4⋊C4—521no—
1184C4⋊C4—521no—
1185C4⋊C4—521no—
1186C4⋊C4—521no—
1187C4⋊C4—521no—
1188C4⋊C4—521no—
1189C4⋊C4—521no—
1190C4⋊C4—521no—
1191C4⋊C4—521no—
1192C4⋊C4—521no—
1193C4⋊C4—521no—
1194C4⋊C4—521no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—262no—
1207C22⋊C4—262no—
1208C22⋊C4—262no—
1209C22⋊C4—262no—
1210C22⋊C4—262no—
1211C22⋊C4—262no—
1212C22⋊C4—262no—
1213C22⋊C4—262no—
1214C22⋊C4—262no—
1215C22⋊C4—262no—
1216C22⋊C4—262no—
1217C22⋊C4—262no—
1218C22⋊C4—521no—
1219C22⋊C4—521no—
1220C22⋊C4—521no—
1221C22⋊C4—521no—
1222C22⋊C4—521no—
1223C22⋊C4—521no—
1224C22⋊C4—521no—
1225C22⋊C4—521no—
1226C22⋊C4—521no—
1227C22⋊C4—521no—
1228C22⋊C4—521no—
1229C22⋊C4—521no—
1230C22⋊C4—521no—
1231C22⋊C4—521no—
1232C22⋊C4—521no—
1233C22⋊C4—521no—
1234C22⋊C4—521no—
1235C22⋊C4—521no—
1236C22⋊C4—521no—
1237C22⋊C4—521no—
1238C22⋊C4—521no—
1239C42—41no—
1240C42—41no—
1241C42—521no—
1242C42—521no—
1243C42—521no—
1244C42—521no—
1245C42—521no—
1246C42—521no—
1247C42—521no—
1248C42—521no—
1249C42—521no—
1250C13#3673611yescharacteristic, complemented, Sylow
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—132no—
1265C23—132no—
1266C23—261no—
1267C23—261no—
1268C23—261no—
1269C23—261no—
1270C23—261no—
1271C23—261no—
1272C23—261no—
1273C23—261no—
1274C23—261no—
1275C23—261no—
1276C23—261no—
1277C23—261no—
1278C23—524no—
1279C23—524no—
1280C23—524no—
1281C23—524no—
1282C23—524no—
1283C23—524no—
1284C23—524no—
1285C23#41×D1312yes—
1286C23C24×D1311yescharacteristic
1287Q8—1042no—
1288D4—82no—
1289D4—1042no—
1290D4—1042no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—44no—
1330C2×C4—132no—
1331C2×C4—132no—
1332C2×C4—268no—
1333C2×C4—261no—
1334C2×C4—261no—
1335C2×C4—261no—
1336C2×C4—261no—
1337C2×C4—261no—
1338C2×C4—261no—
1339C2×C4—261no—
1340C2×C4—261no—
1341C2×C4—261no—
1342C2×C4—261no—
1343C2×C4—261no—
1344C2×C4—261no—
1345C2×C4—261no—
1346C2×C4—261no—
1347C2×C4—261no—
1348C2×C4—261no—
1349C2×C4—261no—
1350C2×C4—261no—
1351C2×C4—261no—
1352C2×C4—261no—
1353C2×C4—261no—
1354C2×C4—261no—
1355C2×C4—261no—
1356C2×C4—261no—
1357C2×C4—261no—
1358C2×C4—261no—
1359C2×C4—261no—
1360C2×C4—261no—
1361C2×C4—261no—
1362C2×C4—261no—
1363C2×C4—261no—
1364C2×C4—261no—
1365C2×C4—261no—
1366C2×C4—261no—
1367C2×C4—261no—
1368C2×C4—261no—
1369C2×C4—261no—
1370C2×C4—261no—
1371C2×C4—261no—
1372C2×C4—261no—
1373C2×C4—524no—
1374C2×C4—524no—
1375C2×C4—524no—
1376C2×C4—524no—
1377C2×C4—1042no—
1378C2×C4#8825112yes—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—262no—
1394C22—262no—
1395C22—262no—
1396C22—262no—
1397C22—262no—
1398C22—262no—
1399C22—5216no—
1400C22—521no—
1401C22—521no—
1402C22—521no—
1403C22—521no—
1404C22—521no—
1405C22—521no—
1406C22—521no—
1407C22—521no—
1408C22C2×#8825111yescharacteristic
1409C22C2×#41×D1311yescharacteristic
1410C22#1171964811yescharacteristic
1411C22D13×H(5,𝔽2)11yescharacteristic
1412C22#1171965011yescharacteristic
1413C22D13×2−1+411yescharacteristic
1414C22#1171965211yescharacteristic
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—262no—
1429C4—262no—
1430C4—521no—
1431C4—521no—
1432C4—521no—
1433C4—521no—
1434C4—521no—
1435C4—521no—
1436C4—521no—
1437C4—521no—
1438C4—521no—
1439C4—521no—
1440C4—521no—
1441C4—521no—
1442C2—42no—
1443C2—81no—
1444C2—522no—
1445C2—522no—
1446C2#1312822211yescharacteristic
1447C2#1312851811yescharacteristic
1448C2#1312857911yescharacteristic
1449C2#1312901111yescharacteristic
1450C2#1312903611yescharacteristic
1451C2#1312908711yescharacteristic
1452C2#1312913111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2694C2
prime radicalC2×#88191C22
hypercenter#2694D13
hypocenterC13#36736
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
2. #13123122C2semidirect
3. #13122050C2semidirect
4. #13122033C2semidirect
5. #13121929C2semidirect
6. #13121917C2semidirect
7. #13121911C2semidirect
8. #13121910C2semidirect
9. #13121878C2semidirect
10. #13121872C2semidirect
11. #13121488C2semidirect
12. #13121470C2semidirect
14. #13121367C2semidirect
15. #13121288C2semidirect
16. #13121254C2semidirect
18. #13121029C2semidirect
19. #13120983C2semidirect
20. #13120385C2semidirect
21. #13120263C2semidirect
22. #13120258C2semidirect
23. #13120163C2semidirect
24. #13119062C2semidirect
25. #13119056C2semidirect
26. #13119003C2semidirect
27. #13118933C2semidirect
28. #13117623C2semidirect
29. #13117586C2semidirect
30. #13117218C2semidirect
31. C13×#2694C2semidirect
33. C2×C13×#125C22semidirect
42. C2×#88133C22semidirect
46. C13×#399C22semidirect
47. C13×#398C22semidirect
48. C13×#397C22semidirect
49. C13×#396C22semidirect
52. C13×#389C22semidirect
54. C13×#388C22semidirect
55. C13×#387C22semidirect
83. #11718647C22semidirect
84. #11718647C22semidirect
85. #11718646C22semidirect
86. #11718646C22semidirect
87. #11718645C22semidirect
88. #11718645C22semidirect
89. #11718644C22semidirect
90. #11718644C22semidirect
91. #11718644C22semidirect
92. #11718643C22semidirect
93. #11718643C22semidirect
94. #11718642C22semidirect
95. #11718641C22semidirect
96. #11718641C22semidirect
97. #11718640C22semidirect
98. #11718639C22semidirect
99. #11718639C22semidirect
100. #11718639C22semidirect
101. C4⋊C4×Dic13C22semidirect
102. #11718634C22semidirect
103. #11718634C22semidirect
104. #11718633C22semidirect
105. #11718633C22semidirect
106. #11718633C22semidirect
125. #11718613C22semidirect
127. #11718612C22semidirect
128. #11718611C22semidirect
130. #11718610C22semidirect
133. #11718608C22semidirect
134. #11718607C22semidirect
135. #11718606C22semidirect
140. #11718605C22semidirect
141. #11718605C22semidirect
144. #11718603C22semidirect
147. C22⋊C4×Dic13C22semidirect
151. #11718594C22semidirect
152. C4×#6101C22semidirect
153. C4×#6101C22semidirect
154. #11718590C22semidirect
171. #11718321C22semidirect
172. #11718319C22semidirect
173. #11718319C22semidirect
174. #11718318C22semidirect
175. #11718318C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718315C22semidirect
179. #11718314C22semidirect
180. #11718314C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718313C22semidirect
184. #11718312C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
539. #2694D13semidirect
687. C2×#125C2×D13semidirect
708. #399C2×D13semidirect
718. #398C2×D13semidirect
728. #397C2×D13semidirect
736. #396C2×D13semidirect
758. #389C2×D13semidirect
780. #388C2×D13semidirect
794. #387C2×D13semidirect
1250. C13#36736semidirect

Maximal subgroups

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

subgroupindex
#131231252
#131231222
#131220502
#131220332
#131219292
#131219172
#131219112
#131219102
#131218782
#131218722
#131214882
#131214702
#131214022
#131213672
#131212882
#131212542
#131212282
#131210292
#131209832
#131203852
#131202632
#131202582
#131201632
#131190622
#131190562
#131190032
#131189332
#131176232
#131175862
#131172182
C13×#26942
#3673613