Finite Group Databasebeta

← #16071393

Subgroups — #16071393

Order 3328.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123148C211yesmaximal, characteristic, complemented
2#13123145C211yesmaximal, characteristic, complemented
3#13122549C211yesmaximal, characteristic, complemented
4#13122514C211yesmaximal, characteristic, complemented
5#13122344C211yesmaximal, characteristic, complemented
6#13122337C211yesmaximal, characteristic, complemented
7#13122028C211yesmaximal, characteristic, complemented
8#13122018C211yesmaximal, characteristic, complemented
9#13122004C211yesmaximal, characteristic, complemented
10#13121991C211yesmaximal, characteristic, complemented
11#13121987C211yesmaximal, characteristic, complemented
12#13121982C211yesmaximal, characteristic, complemented
13#13121909C211yesmaximal, characteristic, complemented
14#13121884C211yesmaximal, characteristic, complemented
15#13121365C211yesmaximal, characteristic, complemented
16#13121361C211yesmaximal, characteristic, complemented
17#13121298C211yesmaximal, characteristic, complemented
18#13120648C211yesmaximal, characteristic, complemented
19#13120621C211yesmaximal, characteristic, complemented
20#13119336C211yesmaximal, characteristic, complemented
21#13119228C211yesmaximal, characteristic, complemented
22#13119113C211yesmaximal, characteristic, complemented
23#13118653C211yesmaximal, characteristic, complemented
24#13118499C211yesmaximal, characteristic, complemented
25#13118306C211yesmaximal, characteristic, complemented
26#13118231C211yesmaximal, characteristic
27#13118227C211yesmaximal, characteristic
28#13117495C211yesmaximal, characteristic
29#13117447C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2723C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic, complemented
33C2×C13×C22⋊Q8C2211yescharacteristic
34C2×#88200C2211yescharacteristic
35C2×#88191C2211yescharacteristic
36C22×#6103C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×#88144C2211yescharacteristic, complemented
39C2×#88137C2211yescharacteristic
40C2×#88137C2211yescharacteristic
41C2×#88135C2211yescharacteristic
42C2×C22⋊C4×D13C2211yescharacteristic
43C2×C22⋊C4×D13C2211yescharacteristic
44C2×C22⋊C4×D13C2211yescharacteristic
45C2×C22⋊C4×D13C2211yescharacteristic
46C2×C42×D13C2211yescharacteristic
47C13×#399C2211yescharacteristic, complemented
48C13×#397C2211yescharacteristic
49C13×#397C2211yescharacteristic, complemented
50C13×#395C2211yescharacteristic, complemented
51C13×#394C2211yescharacteristic
52C13×#393C2211yescharacteristic, complemented
53C13×#390C2211yescharacteristic
54C13×#389C2211yescharacteristic, complemented
55C13×#388C2211yescharacteristic
56C13×#387C2211yescharacteristic, complemented
57C13×#386C2211yescharacteristic
58C13×#385C2211yescharacteristic
59C13×#382C2211yescharacteristic, complemented
60#11718892C2211yescharacteristic
61#11718891C2211yescharacteristic, complemented
62#11718890C2211yescharacteristic, complemented
63#11718883C2211yescharacteristic
64#11718881C2211yescharacteristic
65#11718881C2211yescharacteristic
66#11718873C2211yescharacteristic
67#11718871C2211yescharacteristic
68#11718871C2211yescharacteristic
69#11718655C2211yescharacteristic
70#11718655C2211yescharacteristic
71#11718653C2211yescharacteristic
72#11718651C2211yescharacteristic
73#11718651C2211yescharacteristic
74#11718650C2211yescharacteristic
75#11718650C2211yescharacteristic
76#11718650C2211yescharacteristic
77#11718650C2211yescharacteristic
78#11718650C2211yescharacteristic
79#11718650C2211yescharacteristic
80#11718650C2211yescharacteristic
81#11718650C2211yescharacteristic
82#11718648C2211yescharacteristic
83#11718648C2211yescharacteristic
84#11718648C2211yescharacteristic
85#11718648C2211yescharacteristic
86#11718647C2211yescharacteristic, complemented
87#11718647C2211yescharacteristic, complemented
88#11718647C2211yescharacteristic, complemented
89#11718647C2211yescharacteristic, complemented
90#11718645C2211yescharacteristic, complemented
91#11718645C2211yescharacteristic, complemented
92#11718645C2211yescharacteristic, complemented
93#11718643C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718642C2211yescharacteristic, complemented
97#11718641C2211yescharacteristic, complemented
98#11718641C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101#11718639C2211yescharacteristic, complemented
102#11718638C2211yescharacteristic, complemented
103#11718622C2211yescharacteristic
104#11718620C2211yescharacteristic
105#11718619C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718616C2211yescharacteristic
113#11718614C2211yescharacteristic
114#11718614C2211yescharacteristic
115#11718613C2211yescharacteristic
116#11718613C2211yescharacteristic
117#11718613C2211yescharacteristic
118#11718613C2211yescharacteristic, complemented
119#11718613C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic
122#11718611C2211yescharacteristic
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic, complemented
125#11718611C2211yescharacteristic, complemented
126#11718610C2211yescharacteristic, complemented
127#11718609C2211yescharacteristic, complemented
128#11718607C2211yescharacteristic
129#11718606C2211yescharacteristic
130#11718606C2211yescharacteristic
131#11718606C2211yescharacteristic
132#11718605C2211yescharacteristic
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718604C2211yescharacteristic, complemented
137#11718603C2211yescharacteristic
138#11718603C2211yescharacteristic
139#11718603C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic
141#11718601C2211yescharacteristic
142C4×#6103C2211yescharacteristic
143#11718598C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146#11718589C2211yescharacteristic, complemented
147#11718336C2211yescharacteristic
148#11718335C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718330C2211yescharacteristic
151#11718329C2211yescharacteristic
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic
156#11718328C2211yescharacteristic
157#11718328C2211yescharacteristic
158#11718328C2211yescharacteristic
159#11718325C2211yescharacteristic
160#11718325C2211yescharacteristic
161#11718325C2211yescharacteristic
162#11718325C2211yescharacteristic
163#11718325C2211yescharacteristic
164#11718325C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167C13⋊#401C2211yescharacteristic, complemented
168#11718321C2211yescharacteristic, complemented
169#11718321C2211yescharacteristic, complemented
170#11718320C2211yescharacteristic, complemented
171#11718320C2211yescharacteristic, complemented
172#11718320C2211yescharacteristic, complemented
173#11718319C2211yescharacteristic, complemented
174#11718319C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718318C2211yescharacteristic, complemented
177#11718318C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C22×C4×D13C2311yescharacteristic
196C22×C4×D13C2311yescharacteristic
197C22×C4×D13C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C13×#126—42no—
204C13×C22⋊Q8—42no—
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×C22⋊C4C2311yescharacteristic
215C2×C13×C22⋊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×C42×C13C2311yescharacteristic
226C2×C42×C13C2311yescharacteristic
227C2×C22⋊Dic13C2311yescharacteristic
228C2×C22⋊Dic13C2311yescharacteristic
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
238#88200—42no—
239#88191—24no—
240C2×#6103—42no—
241C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
260C2×C4⋊Dic13C2311yescharacteristic
261C2×C4⋊Dic13C2311yescharacteristic
262C2×C4⋊Dic13C2311yescharacteristic
263C2×C4⋊Dic13C2311yescharacteristic
264C2×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×#6101C2311yescharacteristic
269C2×#6101C2311yescharacteristic
270C2×#6101C2311yescharacteristic
271C2×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2311yescharacteristic
289C2×C4×Dic13C2311yescharacteristic
290C2×C4×Dic13C2311yescharacteristic
291C4⋊C4×D13—42no—
292#88144—42no—
293#88137—42no—
294#88137—42no—
295#88135—42no—
296C22⋊C4×D13—24no—
297C22⋊C4×D13—24no—
298C22⋊C4×D13—42no—
299C22⋊C4×D13—42no—
300C42×D13—42no—
301C13×#95C2311yescharacteristic
302C13×#95C2311yescharacteristic
303C13×#95C2311yescharacteristic
304C13×#95C2311yescharacteristic
305C13×#95C2311yescharacteristic
306C13×#95C2311yescharacteristic
307C13×#95C2311yescharacteristic
308C13×#95C2311yescharacteristic
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311#88071C2311yescharacteristic
312#88071C2311yescharacteristic
313#88071C2311yescharacteristic
314#88071C2311yescharacteristic
315#88071C2311yescharacteristic
316#88071C2311yescharacteristic
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#36780—131nomaximal, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C23×D13—22no—
361C23×D13—22no—
362C23×D13—41no—
363C23×D13—41no—
364C23×D13—41no—
365C23×D13—41no—
366C23×D13#4114yes—
367C23×D13C2411yescharacteristic
368C23×D13C2411yescharacteristic
369C2×Q8×C13—41no—
370C2×Q8×C13—41no—
371C2×Q8×C13—41no—
372C2×D4×C13—22no—
373C2×D4×C13—41no—
374C2×D4×C13—41no—
375C22×C4×C13—41no—
376C22×C4×C13—41no—
377C22×C4×C13—41no—
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
388C22×C4×C13C2411yescharacteristic
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C2×C22⋊D13—22no—
392C2×C22⋊D13—22no—
393C2×C22⋊D13—22no—
394C2×C22⋊D13—22no—
395C2×C22⋊D13—41no—
396C2×C22⋊D13—41no—
397C22×Dic13—41no—
398C22×Dic13—41no—
399C22×Dic13—41no—
400C22×Dic13—41no—
401C22×Dic13—41no—
402C22×Dic13—41no—
403C22×Dic13C2411yescharacteristic
404C22×Dic13C2411yescharacteristic
405C22×Dic13C2411yescharacteristic
406C22×Dic13C2411yescharacteristic
407C22×Dic13C2411yescharacteristic
408C22×Dic13C2411yescharacteristic
409C22×Dic13C2411yescharacteristic
410C22×Dic13C2411yescharacteristic
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C22×Dic13C2411yescharacteristic
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C2×C4×D13—22no—
418C2×C4×D13—22no—
419C2×C4×D13—22no—
420C2×C4×D13—22no—
421C2×C4×D13—22no—
422C2×C4×D13—22no—
423C2×C4×D13—22no—
424C2×C4×D13—22no—
425C2×C4×D13—22no—
426C2×C4×D13—22no—
427C2×C4×D13—22no—
428C2×C4×D13—41no—
429C2×C4×D13—41no—
430C2×C4×D13—41no—
431C2×C4×D13—41no—
432C2×C4×D13—41no—
433C2×C4×D13—41no—
434C2×C4×D13—41no—
435C2×C4×D13—41no—
436C2×C4×D13—41no—
437C2×C4×D13—41no—
438C2×C4×D13—41no—
439C2×C4×D13—41no—
440C2×C4×D13—41no—
441C13×C4⋊C4—22no—
442C13×C4⋊C4—22no—
443C13×C4⋊C4—41no—
444C13×C4⋊C4—41no—
445C13×C4⋊C4—41no—
446C13×C4⋊C4—41no—
447C13×C4⋊C4—41no—
448C13×C4⋊C4—41no—
449C13×C4⋊C4—41no—
450C13×C22⋊C4—22no—
451C13×C22⋊C4—22no—
452C13×C22⋊C4—22no—
453C13×C22⋊C4—22no—
454C13×C22⋊C4—41no—
455C13×C22⋊C4—41no—
456C13×C22⋊C4—41no—
457C13×C22⋊C4—41no—
458C13×C22⋊C4—41no—
459C13×C22⋊C4—41no—
460C13×C22⋊C4—41no—
461C42×C13—22no—
462C42×C13—41no—
463C22⋊Dic13—22no—
464C22⋊Dic13—22no—
465C22⋊Dic13—22no—
466C22⋊Dic13—41no—
467C22⋊Dic13—41no—
468C22⋊Dic13—41no—
469C22⋊Dic13—41no—
470C22⋊Dic13—41no—
471C22⋊Dic13—41no—
472C22⋊Dic13—41no—
473C22⋊Dic13—41no—
474#6103—22no—
475#6103—22no—
476#6103—22no—
477#6103—22no—
478#6103—22no—
479#6103—22no—
480#6103—22no—
481#6103—22no—
482#6103—22no—
483#6103—22no—
484#6103—22no—
485#6103—41no—
486#6103—41no—
487#6103—41no—
488#6103—41no—
489#6103—41no—
490#6103—41no—
491#6103—41no—
492C4⋊Dic13—22no—
493C4⋊Dic13—41no—
494C4⋊Dic13—41no—
495C4⋊Dic13—41no—
496C4⋊Dic13—41no—
497C4⋊Dic13—41no—
498C4⋊Dic13—41no—
499C4⋊Dic13—41no—
500C4⋊Dic13—41no—
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—
516#6101—41no—
517#6101—41no—
518#6101—41no—
519C4×Dic13—22no—
520C4×Dic13—41no—
521C4×Dic13—41no—
522C4×Dic13—41no—
523C4×Dic13—41no—
524#2852—131no—
525#2851—131no—
526#2786—131no—
527#2782—131no—
528#2770—131no—
529#2770—131no—
530#2747—131no—
531#2746—131no—
532#2745—131no—
533#2744—131no—
534#2744—131no—
535#2743—131no—
536#2738—131no—
537#2737—131no—
538#2723D1311yescharacteristic, complemented
539#2695—131no—
540#2694—131no—
541#2690—131no—
542#2627—131no—
543#2623—131no—
544#2505—131no—
545#2493—131no—
546#2483—131no—
547#2450—131no—
548#2437—131no—
549#2419—131no—
550#2412—131no—
551#2412—131no—
552#2321—131no—
553#2315—131no—
554C2×#388—131no—
555C23×C13—21no—
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×C13C2×#4112yes—
569C23×C13C2511yescharacteristic
570C22×D13—21no—
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—28no—
581C22×D13—44no—
582C22×D13—44no—
583C22×D13—82no—
584C22×D13—82no—
585C22×D13—82no—
586C22×D13—82no—
587C22×D13C2×#4112yes—
588C22×D13C2×#4112yes—
589C22×D13H(5,𝔽2)12yes—
590C22×D132−1+412yes—
591Q8×C13—82no—
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—82no—
632C2×C4×C13H(5,𝔽2)12yes—
633C22⋊D13—44no—
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—21no—
676C2×Dic13—21no—
677C2×Dic13—82no—
678C2×Dic13—82no—
679C4×D13—44no—
680C4×D13—44no—
681C4×D13—44no—
682C4×D13—44no—
683C4×D13—82no—
684C4×D13—82no—
685C4×D13—82no—
686C4×D13—82no—
687C2×#126C2×D1311yescharacteristic, complemented
688C2×#125—131no—
689C2×#123—131no—
690C2×#123—131no—
691C2×C22⋊Q8—131no—
692C2×C22⋊Q8C2×D1311yescharacteristic
693C2×#120—131no—
694C2×C4×D4—131no—
695C22×C4⋊C4—131no—
696C22×C22⋊C4—131no—
697C22×C22⋊C4—131no—
698C22×C22⋊C4—131no—
699C22×C22⋊C4—131no—
700C22×C22⋊C4—131no—
701C22×C42—131no—
702#401—131no—
703#400—131no—
704#400—131no—
705#400—131no—
706#400—131no—
707#400—131no—
708#400—131no—
709#400—131no—
710#400—131no—
711#400—131no—
712#400—131no—
713#400—131no—
714#400—131no—
715#399—131no—
716#399—131no—
717#399C2×D1311yescharacteristic, complemented
718#398—131no—
719#398—131no—
720#398—131no—
721#398—131no—
722#398—131no—
723#398—131no—
724#398—131no—
725#398—131no—
726#398—131no—
727#397—131no—
728#397—131no—
729#397—131no—
730#397—131no—
731#397—131no—
732#397—131no—
733#397—131no—
734#397—131no—
735#397—131no—
736#397—131no—
737#397C2×D1311yescharacteristic
738#397C2×D1311yescharacteristic, complemented
739#396—131no—
740#396—131no—
741#396—131no—
742#395—131no—
743#395C2×D1311yescharacteristic, complemented
744#394—131no—
745#394—131no—
746#394—131no—
747#394C2×D1311yescharacteristic
748#393—131no—
749#393C2×D1311yescharacteristic, complemented
750#391—131no—
751#390—131no—
752#390C2×D1311yescharacteristic
753#389—131no—
754#389—131no—
755#389C2×D1311yescharacteristic, complemented
756#388—131no—
757#388—131no—
758#388—131no—
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#388C2×D1311yescharacteristic
771#387—131no—
772#387—131no—
773#387—131no—
774#387—131no—
775#387—131no—
776#387—131no—
777#387—131no—
778#387—131no—
779#387—131no—
780#387—131no—
781#387—131no—
782#387—131no—
783#387—131no—
784#387—131no—
785#387C2×D1311yescharacteristic, complemented
786#386—131no—
787#386—131no—
788#386—131no—
789#386—131no—
790#386—131no—
791#386—131no—
792#386—131no—
793#386—131no—
794#386C2×D1311yescharacteristic
795#385—131no—
796#385—131no—
797#385—131no—
798#385—131no—
799#385—131no—
800#385—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#385—131no—
813#385—131no—
814#385—131no—
815#385C2×D1311yescharacteristic
816#383—131no—
817#383—131no—
818#382—131no—
819#382C2×D1311yescharacteristic, complemented
820#381—131no—
821#381—131no—
822#381—131no—
823#381—131no—
824#381—131no—
825#381—131no—
826#381—131no—
827#380—131no—
828#380—131no—
829#380—131no—
830#380—131no—
831#380—131no—
832#380—131no—
833#380—131no—
834#380—131no—
835#380—131no—
836#380—131no—
837#380—131no—
838#379—131no—
839C4×C22⋊C4—131no—
840C2×#95—131no—
841C2×#95—131no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13—22no—
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×C13—41no—
854C22×C13—41no—
855C22×C13—41no—
856C22×C13C22×#4111yescharacteristic
857C22×C13C2×H(5,𝔽2)11yescharacteristic
858C22×C13C2×H(5,𝔽2)11yescharacteristic
859C22×C13C2×2−1+411yescharacteristic
860C22×C13#58511yescharacteristic
861C22×C13#58511yescharacteristic
862C22×C13#58511yescharacteristic
863C2×D13—22no—
864C2×D13—22no—
865C2×D13—22no—
866C2×D13—22no—
867C2×D13—22no—
868C2×D13—22no—
869C2×D13—22no—
870C2×D13—22no—
871C2×D13—22no—
872C2×D13—41no—
873C2×D13—41no—
874C2×D13—41no—
875C2×D13—41no—
876C2×D13—88no—
877C2×D13#53914yes—
878C4×C13—22no—
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—
888C4×C13—41no—
889C4×C13—41no—
890C4×C13—41no—
891Dic13—41no—
892Dic13—41no—
893Dic13—41no—
894Dic13—41no—
895Dic13—41no—
896Dic13—41no—
897Dic13—41no—
898Dic13—41no—
899Dic13—41no—
900Dic13—41no—
901Dic13—41no—
902Dic13—41no—
903Dic13—41no—
904Dic13—41no—
905C25—131no—
906C22×Q8C22×D1311yescharacteristic
907C22×D4—131no—
908C22×D4—131no—
909C22×D4C22×D1311yescharacteristic
910C23×C4—131no—
911C23×C4—131no—
912C23×C4—131no—
913C23×C4—131no—
914C23×C4—131no—
915C23×C4—131no—
916C23×C4—131no—
917C23×C4—131no—
918C23×C4—131no—
919C23×C4—131no—
920C23×C4C22×D1311yescharacteristic
921#126—42no—
922#125—522no—
923#123—522no—
924#123—522no—
925C22⋊Q8—42no—
926C22⋊Q8—522no—
927#120—264no—
928C4×D4—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—522no—
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×C22⋊C4—131no—
967C2×C22⋊C4—131no—
968C2×C22⋊C4—131no—
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—264no—
996C2×C22⋊C4—264no—
997C2×C22⋊C4—522no—
998C2×C22⋊C4—522no—
999C2×C22⋊C4—522no—
1000C2×C22⋊C4C22×D1311yescharacteristic
1001C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1012C2×C42—131no—
1013C2×C42—131no—
1014C2×C42—131no—
1015C2×C42—131no—
1016C2×C42—522no—
1017C2×C42C22×D1311yescharacteristic
1018C2×C42C22×D1311yescharacteristic
1019#95—131no—
1020#95—131no—
1021#95—131no—
1022#95—131no—
1023#95—131no—
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#95—131no—
1065#95C22×D1311yescharacteristic
1066#95C22×D1311yescharacteristic
1067#95C22×D1311yescharacteristic
1068#95C22×D1311yescharacteristic
1069#95C22×D1311yescharacteristic
1070#95C22×D1311yescharacteristic
1071#95C22×D1311yescharacteristic
1072#95C22×D1311yescharacteristic
1073#95C22×D1311yescharacteristic
1074#95C22×D1311yescharacteristic
1075C2×C13—42no—
1076C2×C13—81no—
1077C2×C13C2×#53911yescharacteristic
1078C2×C13#349111yescharacteristic
1079C2×C13#350511yescharacteristic
1080C2×C13#353511yescharacteristic
1081C2×C13#354211yescharacteristic
1082C2×C13#354511yescharacteristic
1083C2×C13#356411yescharacteristic
1084D13—24no—
1085D13—42no—
1086C24—131no—
1087C24—131no—
1088C24—134no—
1089C24—262no—
1090C24—262no—
1091C24—521no—
1092C24—521no—
1093C24—521no—
1094C24—521no—
1095C24C23×D1311yescharacteristic
1096C24C23×D1311yescharacteristic
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—262no—
1104C2×D4—262no—
1105C2×D4—262no—
1106C2×D4—262no—
1107C2×D4—521no—
1108C2×D4—521no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
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—131no—
1125C22×C4—131no—
1126C22×C4—262no—
1127C22×C4—262no—
1128C22×C4—262no—
1129C22×C4—262no—
1130C22×C4—262no—
1131C22×C4—262no—
1132C22×C4—262no—
1133C22×C4—262no—
1134C22×C4—262no—
1135C22×C4—262no—
1136C22×C4—262no—
1137C22×C4—521no—
1138C22×C4—521no—
1139C22×C4—521no—
1140C22×C4—521no—
1141C22×C4—521no—
1142C22×C4—521no—
1143C22×C4—521no—
1144C22×C4—521no—
1145C22×C4—521no—
1146C22×C4—521no—
1147C22×C4—521no—
1148C22×C4—521no—
1149C22×C4—521no—
1150C22×C4—521no—
1151C22×C4—521no—
1152C22×C4—521no—
1153C22×C4—521no—
1154C22×C4—521no—
1155C22×C4—521no—
1156C22×C4C23×D1311yescharacteristic
1157C22×C4C23×D1311yescharacteristic
1158C22×C4C23×D1311yescharacteristic
1159C22×C4C23×D1311yescharacteristic
1160C22×C4C23×D1311yescharacteristic
1161C22×C4C23×D1311yescharacteristic
1162C22×C4C23×D1311yescharacteristic
1163C22×C4C23×D1311yescharacteristic
1164C22×C4C23×D1311yescharacteristic
1165C22×C4C23×D1311yescharacteristic
1166C22×C4C23×D1311yescharacteristic
1167C22×C4C23×D1311yescharacteristic
1168C22×C4C23×D1311yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—262no—
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—
1195C4⋊C4—521no—
1196C4⋊C4—521no—
1197C4⋊C4—521no—
1198C4⋊C4—521no—
1199C4⋊C4—521no—
1200C4⋊C4—521no—
1201C4⋊C4—521no—
1202C4⋊C4—521no—
1203C4⋊C4—521no—
1204C4⋊C4—521no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—262no—
1217C22⋊C4—262no—
1218C22⋊C4—262no—
1219C22⋊C4—262no—
1220C22⋊C4—262no—
1221C22⋊C4—262no—
1222C22⋊C4—262no—
1223C22⋊C4—262no—
1224C22⋊C4—262no—
1225C22⋊C4—262no—
1226C22⋊C4—262no—
1227C22⋊C4—262no—
1228C22⋊C4—262no—
1229C22⋊C4—262no—
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—
1239C22⋊C4—521no—
1240C22⋊C4—521no—
1241C22⋊C4—521no—
1242C22⋊C4—521no—
1243C22⋊C4—521no—
1244C22⋊C4—521no—
1245C42—22no—
1246C42—41no—
1247C42—262no—
1248C42—521no—
1249C42—521no—
1250C42—521no—
1251C42—521no—
1252C13#3678011yescharacteristic, complemented, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—132no—
1267C23—132no—
1268C23—132no—
1269C23—132no—
1270C23—268no—
1271C23—261no—
1272C23—261no—
1273C23—261no—
1274C23—261no—
1275C23—261no—
1276C23—261no—
1277C23—261no—
1278C23—261no—
1279C23—261no—
1280C23—261no—
1281C23—524no—
1282C23—524no—
1283C23—1042no—
1284C23—1042no—
1285C23—1042no—
1286C23—1042no—
1287C23#41×D1312yes—
1288C23C24×D1311yescharacteristic
1289Q8—82no—
1290D4—82no—
1291D4—524no—
1292D4—1042no—
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—21no—
1330C2×C4—21no—
1331C2×C4—82no—
1332C2×C4—261no—
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—261no—
1374C2×C4—524no—
1375C2×C4—524no—
1376C2×C4—524no—
1377C2×C4—524no—
1378C2×C4—1042no—
1379C2×C4—1042no—
1380C2×C4—1042no—
1381C2×C4—1042no—
1382C2×C4—1042no—
1383C2×C4—1042no—
1384C2×C4#8825112yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—134no—
1400C22—262no—
1401C22—262no—
1402C22—262no—
1403C22—262no—
1404C22—262no—
1405C22—262no—
1406C22—262no—
1407C22—262no—
1408C22—262no—
1409C22—521no—
1410C22—521no—
1411C22—521no—
1412C22—521no—
1413C22—1048no—
1414C22C2×#8825111yescharacteristic
1415C22C2×#41×D1311yescharacteristic
1416C22#1171964811yescharacteristic
1417C22D13×H(5,𝔽2)11yescharacteristic
1418C22#1171965011yescharacteristic
1419C22D13×2−1+411yescharacteristic
1420C22#1171965211yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—521no—
1435C4—521no—
1436C4—521no—
1437C4—521no—
1438C4—521no—
1439C4—521no—
1440C4—521no—
1441C4—521no—
1442C4—521no—
1443C4—521no—
1444C4—521no—
1445C4—521no—
1446C4—521no—
1447C4—521no—
1448C2—42no—
1449C2—81no—
1450C2—264no—
1451C2—522no—
1452C2D13×#53911yescharacteristic
1453C2#1312852711yescharacteristic
1454C2#1312867211yescharacteristic
1455C2#1312903711yescharacteristic
1456C2#1312915411yescharacteristic
1457C2#1312918411yescharacteristic
1458C2#1312945111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2723C2
prime radicalC2×#88191C22
hypercenter#2723D13
hypocenterC13#36780
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2723

Complements

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

NH ≅ G/Ntype
1. #13123148C2semidirect
2. #13123145C2semidirect
3. #13122549C2semidirect
4. #13122514C2semidirect
5. #13122344C2semidirect
6. #13122337C2semidirect
7. #13122028C2semidirect
8. #13122018C2semidirect
9. #13122004C2semidirect
10. #13121991C2semidirect
11. #13121987C2semidirect
12. #13121982C2semidirect
13. #13121909C2semidirect
14. #13121884C2semidirect
15. #13121365C2semidirect
16. #13121361C2semidirect
17. #13121298C2semidirect
18. #13120648C2semidirect
19. #13120621C2semidirect
20. #13119336C2semidirect
21. #13119228C2semidirect
22. #13119113C2semidirect
23. #13118653C2semidirect
24. #13118499C2semidirect
25. #13118306C2semidirect
29. #13117447C2semidirect
30. D13×#388C2semidirect
31. C13×#2723C2semidirect
32. C2×C13×#126C22semidirect
38. C2×#88144C22semidirect
47. C13×#399C22semidirect
49. C13×#397C22semidirect
50. C13×#395C22semidirect
52. C13×#393C22semidirect
54. C13×#389C22semidirect
56. C13×#387C22semidirect
59. C13×#382C22semidirect
61. #11718891C22semidirect
62. #11718890C22semidirect
86. #11718647C22semidirect
87. #11718647C22semidirect
88. #11718647C22semidirect
89. #11718647C22semidirect
90. #11718645C22semidirect
91. #11718645C22semidirect
92. #11718645C22semidirect
93. #11718643C22semidirect
94. #11718642C22semidirect
95. #11718642C22semidirect
96. #11718642C22semidirect
97. #11718641C22semidirect
98. #11718641C22semidirect
99. #11718639C22semidirect
100. #11718639C22semidirect
101. #11718639C22semidirect
102. #11718638C22semidirect
118. #11718613C22semidirect
119. #11718613C22semidirect
120. #11718613C22semidirect
124. #11718611C22semidirect
125. #11718611C22semidirect
126. #11718610C22semidirect
127. #11718609C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. #11718604C22semidirect
139. #11718603C22semidirect
143. #11718598C22semidirect
144. #11718594C22semidirect
145. #11718594C22semidirect
146. #11718589C22semidirect
167. C13⋊#401C22semidirect
168. #11718321C22semidirect
169. #11718321C22semidirect
170. #11718320C22semidirect
171. #11718320C22semidirect
172. #11718320C22semidirect
173. #11718319C22semidirect
174. #11718319C22semidirect
175. #11718318C22semidirect
176. #11718318C22semidirect
177. #11718318C22semidirect
178. #11718318C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718313C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718312C22semidirect
186. #11718308C22semidirect
538. #2723D13semidirect
687. C2×#126C2×D13semidirect
717. #399C2×D13semidirect
738. #397C2×D13semidirect
743. #395C2×D13semidirect
749. #393C2×D13semidirect
755. #389C2×D13semidirect
785. #387C2×D13semidirect
819. #382C2×D13semidirect
1252. C13#36780semidirect

Maximal subgroups

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

subgroupindex
#131231482
#131231452
#131225492
#131225142
#131223442
#131223372
#131220282
#131220182
#131220042
#131219912
#131219872
#131219822
#131219092
#131218842
#131213652
#131213612
#131212982
#131206482
#131206212
#131193362
#131192282
#131191132
#131186532
#131184992
#131183062
#131182312
#131182272
#131174952
#131174472
D13×#3882
C13×#27232
#3678013