Finite Group Databasebeta

← #16037161

Subgroups — #16037161

Order 3328.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123229C211yesmaximal, characteristic, complemented
2#13123204C211yesmaximal, characteristic, complemented
3#13123160C211yesmaximal, characteristic, complemented
4#13123140C211yesmaximal, characteristic, complemented
5#13120875C211yesmaximal, characteristic, complemented
6#13120860C211yesmaximal, characteristic, complemented
7#13120845C211yesmaximal, characteristic, complemented
8#13120830C211yesmaximal, characteristic, complemented
9#13120394C211yesmaximal, characteristic, complemented
10#13120379C211yesmaximal, characteristic, complemented
11#13119987C211yesmaximal, characteristic, complemented
12#13119972C211yesmaximal, characteristic, complemented
13#13119660C211yesmaximal, characteristic, complemented
14#13119615C211yesmaximal, characteristic, complemented
15#13119341C211yesmaximal, characteristic, complemented
16#13119104C211yesmaximal, characteristic, complemented
17#13119089C211yesmaximal, characteristic, complemented
18#13118999C211yesmaximal, characteristic, complemented
19#13118969C211yesmaximal, characteristic, complemented
20#13118954C211yesmaximal, characteristic, complemented
21#13118641C211yesmaximal, characteristic, complemented
22#13118590C211yesmaximal, characteristic, complemented
23#13118370C211yesmaximal, characteristic
24#13118304C211yesmaximal, characteristic, complemented
25#13117539C211yesmaximal, characteristic, complemented
26#13117496C211yesmaximal, characteristic, complemented
27#13117496C211yesmaximal, characteristic, complemented
28#13117275C211yesmaximal, characteristic, complemented
29C2×#11718330C211yesmaximal, characteristic, complemented
30C4×#88135C211yesmaximal, characteristic, complemented
31C13×#2329C211yesmaximal, characteristic, complemented
32C2×C13×C22⋊Q8C2211yescharacteristic
33C2×#88201C2211yescharacteristic
34C2×#88200C2211yescharacteristic, complemented
35C2×#88184C2211yescharacteristic
36C2×C4×C22⋊D13C2211yescharacteristic
37C2×C4×C22⋊D13C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C22×#6103C2211yescharacteristic
40C22×#6103C2211yescharacteristic
41C22×#6101C2211yescharacteristic
42C22×C4×Dic13C2211yescharacteristic
43C2×#88152C2211yescharacteristic
44C2×#88152C2211yescharacteristic, complemented
45C2×#88149C2211yescharacteristic
46C2×#88148C2211yescharacteristic
47C2×#88136C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×#88126C2211yescharacteristic, complemented
52C2×C42×D13C2211yescharacteristic, complemented
53C13×#391C2211yescharacteristic, complemented
54C13×#391C2211yescharacteristic, complemented
55C13×#389C2211yescharacteristic, complemented
56C13×#389C2211yescharacteristic, complemented
57C13×#387C2211yescharacteristic, complemented
58C13×#387C2211yescharacteristic, complemented
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#385C2211yescharacteristic
62C13×#385C2211yescharacteristic
63C13×#380C2211yescharacteristic
64C4×C13×C22⋊C4C2211yescharacteristic
65C4×C13×C22⋊C4C2211yescharacteristic
66C2×C13×#95C2211yescharacteristic
67#11718892C2211yescharacteristic
68#11718890C2211yescharacteristic, complemented
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718873C2211yescharacteristic
72C2×#88071C2211yescharacteristic
73#11718655C2211yescharacteristic
74#11718655C2211yescharacteristic
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic
78#11718654C2211yescharacteristic
79#11718654C2211yescharacteristic, complemented
80#11718653C2211yescharacteristic
81#11718653C2211yescharacteristic, complemented
82#11718652C2211yescharacteristic
83#11718652C2211yescharacteristic
84#11718652C2211yescharacteristic
85#11718652C2211yescharacteristic
86#11718652C2211yescharacteristic, complemented
87#11718651C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic
91#11718651C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718649C2211yescharacteristic
94#11718649C2211yescharacteristic
95#11718647C2211yescharacteristic, complemented
96#11718647C2211yescharacteristic, complemented
97#11718646C2211yescharacteristic, complemented
98#11718645C2211yescharacteristic, complemented
99#11718643C2211yescharacteristic, complemented
100#11718642C2211yescharacteristic, complemented
101#11718639C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718638C2211yescharacteristic, complemented
104#11718634C2211yescharacteristic, complemented
105#11718619C2211yescharacteristic
106#11718619C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718616C2211yescharacteristic
110#11718616C2211yescharacteristic
111#11718611C2211yescharacteristic
112#11718611C2211yescharacteristic
113#11718607C2211yescharacteristic
114#11718607C2211yescharacteristic
115C22⋊C4×Dic13C2211yescharacteristic
116C22⋊C4×Dic13C2211yescharacteristic
117#11718601C2211yescharacteristic
118#11718601C2211yescharacteristic
119#11718601C2211yescharacteristic
120#11718601C2211yescharacteristic
121#11718600C2211yescharacteristic
122#11718600C2211yescharacteristic
123#11718600C2211yescharacteristic
124#11718600C2211yescharacteristic
125C4×#6103C2211yescharacteristic, complemented
126C4×#6103C2211yescharacteristic, complemented
127#11718593C2211yescharacteristic, complemented
128C4×#6101C2211yescharacteristic, complemented
129C4×#6101C2211yescharacteristic, complemented
130C42×Dic13C2211yescharacteristic, complemented
131#11718336C2211yescharacteristic
132#11718336C2211yescharacteristic
133#11718336C2211yescharacteristic, complemented
134#11718336C2211yescharacteristic, complemented
135#11718335C2211yescharacteristic
136#11718333C2211yescharacteristic
137#11718333C2211yescharacteristic
138#11718332C2211yescharacteristic
139#11718331C2211yescharacteristic
140#11718331C2211yescharacteristic
141#11718331C2211yescharacteristic
142#11718331C2211yescharacteristic
143#11718331C2211yescharacteristic
144#11718331C2211yescharacteristic
145#11718331C2211yescharacteristic, complemented
146#11718331C2211yescharacteristic, complemented
147#11718330C2211yescharacteristic
148#11718330C2211yescharacteristic
149#11718330C2211yescharacteristic
150#11718330C2211yescharacteristic
151#11718330C2211yescharacteristic
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic
156#11718330C2211yescharacteristic
157#11718330C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718329C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic, complemented
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718325C2211yescharacteristic, complemented
174#11718322C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C13×C22⋊Q8—24no—
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×C42×C13C2311yescharacteristic
221C2×C42×C13C2311yescharacteristic
222C2×C42×C13C2311yescharacteristic
223C2×C42×C13C2311yescharacteristic
224C2×C22⋊Dic13C2311yescharacteristic
225C2×C22⋊Dic13C2311yescharacteristic
226#88201—42no—
227#88200—42no—
228#88184—24no—
229C4×C22⋊D13—24no—
230C4×C22⋊D13—24no—
231C2×#6103—24no—
232C2×#6103—42no—
233C2×#6103—42no—
234C2×#6103C2311yescharacteristic
235C2×#6103C2311yescharacteristic
236C2×#6103C2311yescharacteristic
237C2×#6103C2311yescharacteristic
238C2×#6103C2311yescharacteristic
239C2×#6103C2311yescharacteristic
240C2×#6103C2311yescharacteristic
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×#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×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×#6101—42no—
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×C4×Dic13—42no—
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309#88152—42no—
310#88152—42no—
311#88149—42no—
312#88148—42no—
313#88136—24no—
314#88136—24no—
315#88135—24no—
316#88135—24no—
317#88126—42no—
318C42×D13—42no—
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#35066—131nomaximal, Sylow
364C24×C13C2411yescharacteristic
365C23×D13—22no—
366C23×D13—22no—
367C23×D13—22no—
368C23×D13—41no—
369C23×D13—41no—
370C23×D13—41no—
371C23×D13—41no—
372C23×D13C2411yescharacteristic
373C23×D13C2411yescharacteristic
374C23×D13C2411yescharacteristic
375C23×D13C2411yescharacteristic
376C2×Q8×C13—22no—
377C2×Q8×C13—41no—
378C2×Q8×C13—41no—
379C22×C4×C13—22no—
380C22×C4×C13—22no—
381C22×C4×C13—41no—
382C22×C4×C13—41no—
383C22×C4×C13—41no—
384C22×C4×C13—41no—
385C22×C4×C13—41no—
386C22×C4×C13—41no—
387C22×C4×C13#4114yes—
388C22×C4×C13C2411yescharacteristic
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C2×C22⋊D13—22no—
403C2×C22⋊D13—22no—
404C2×C22⋊D13—22no—
405C2×C22⋊D13—22no—
406C2×C22⋊D13—22no—
407C2×C22⋊D13#4114yes—
408C22×Dic13—22no—
409C22×Dic13—22no—
410C22×Dic13—22no—
411C22×Dic13—22no—
412C22×Dic13—22no—
413C22×Dic13—41no—
414C22×Dic13—41no—
415C22×Dic13—41no—
416C22×Dic13—41no—
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C2×D52—22no—
430C2×D52—22no—
431C2×D52—22no—
432C2×D52—22no—
433C2×D52—22no—
434C2×D52—41no—
435C2×D52—41no—
436C2×D52—41no—
437C2×D52—41no—
438C2×D52—41no—
439C2×D52—41no—
440C2×D52—41no—
441C2×D52—41no—
442C2×D52—41no—
443C2×D52—41no—
444C2×C4×D13—22no—
445C2×C4×D13—22no—
446C2×C4×D13—22no—
447C2×C4×D13—22no—
448C2×C4×D13—22no—
449C2×C4×D13—22no—
450C2×C4×D13—41no—
451C2×C4×D13—41no—
452C2×C4×D13—41no—
453C2×C4×D13—41no—
454C2×C4×D13—41no—
455C2×C4×D13—41no—
456C13×C4⋊C4—22no—
457C13×C4⋊C4—22no—
458C13×C4⋊C4—22no—
459C13×C4⋊C4—41no—
460C13×C4⋊C4—41no—
461C13×C4⋊C4—41no—
462C13×C4⋊C4—41no—
463C13×C4⋊C4—41no—
464C13×C4⋊C4—41no—
465C13×C22⋊C4—22no—
466C13×C22⋊C4—22no—
467C13×C22⋊C4—22no—
468C13×C22⋊C4#4114yes—
469C42×C13—41no—
470C42×C13—41no—
471C42×C13—41no—
472C42×C13—41no—
473C22⋊Dic13—22no—
474C22⋊Dic13—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—22no—
486#6103—22no—
487#6103—22no—
488#6103—22no—
489#6103—22no—
490#6103—22no—
491#6103—22no—
492#6103—22no—
493#6103—22no—
494#6103—22no—
495#6103—41no—
496#6103—41no—
497#6103—41no—
498#6103—41no—
499#6103—41no—
500#6103—41no—
501#6103—41no—
502#6103—41no—
503#6103—41no—
504#6103—41no—
505#6103—41no—
506#6103—41no—
507#6103—41no—
508#6103—41no—
509#6103—41no—
510#6103—41no—
511#6103—41no—
512#6103—41no—
513#6103—41no—
514#6103—41no—
515#6103—41no—
516#6103—41no—
517C4⋊Dic13—22no—
518C4⋊Dic13—41no—
519C4⋊Dic13—41no—
520C4⋊Dic13—41no—
521C4⋊Dic13—41no—
522C4⋊Dic13—41no—
523C4⋊Dic13—41no—
524#6101—22no—
525#6101—22no—
526#6101—22no—
527#6101—22no—
528#6101—22no—
529#6101—22no—
530#6101—22no—
531#6101—22no—
532#6101—41no—
533#6101—41no—
534#6101—41no—
535#6101—41no—
536C4×Dic13—22no—
537C4×Dic13—22no—
538C4×Dic13—22no—
539C4×Dic13—22no—
540C4×Dic13—22no—
541C4×Dic13—22no—
542C4×Dic13—22no—
543C4×Dic13—22no—
544C4×Dic13—41no—
545C4×Dic13—41no—
546C4×Dic13—41no—
547C4×Dic13—41no—
548#2866—131no—
549#2860—131no—
550#2853—131no—
551#2850—131no—
552#2651—131no—
553#2650—131no—
554#2649—131no—
555#2648—131no—
556#2597—131no—
557#2596—131no—
558#2560—131no—
559#2559—131no—
560#2529—131no—
561#2526—131no—
562#2505—131no—
563#2481—131no—
564#2480—131no—
565#2474—131no—
566#2472—131no—
567#2471—131no—
568#2449—131no—
569#2444—131no—
570#2424—131no—
571#2418—131no—
572#2329D1311yescharacteristic, complemented
573#2325—131no—
574#2321—131no—
575#2321—131no—
576#2290—131no—
577C2×#388—131no—
578C42×D4—131no—
579C23×C13—21no—
580C23×C13—21no—
581C23×C13—21no—
582C23×C13—21no—
583C23×C13C2×#4112yes—
584C23×C13C2×#4112yes—
585C23×C13C2×#4112yes—
586C23×C13C2511yescharacteristic
587C22×D13—21no—
588C22×D13—21no—
589C22×D13—21no—
590C22×D13—21no—
591C22×D13—21no—
592C22×D13—21no—
593C22×D13—21no—
594C22×D13—21no—
595C22×D13—21no—
596C22×D13—21no—
597C22×D13—21no—
598C22×D13—21no—
599C22×D13—21no—
600C22×D13—21no—
601C22×D13—21no—
602C22×D13—21no—
603C22×D13—21no—
604C22×D13—21no—
605C22×D13—21no—
606C22×D13—21no—
607C22×D13—21no—
608C22×D13—21no—
609C22×D13—21no—
610C22×D13—21no—
611C22×D13—21no—
612C22×D13—21no—
613C22×D13—21no—
614C22×D13—44no—
615C22×D13—44no—
616C22×D13—44no—
617C22×D13—82no—
618C22×D13—82no—
619C22×D13—82no—
620C22×D13—82no—
621C22×D13C2×#4112yes—
622Q8×C13—82no—
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—21no—
632C2×C4×C13—21no—
633C2×C4×C13—21no—
634C2×C4×C13—21no—
635C2×C4×C13—21no—
636C2×C4×C13—21no—
637C2×C4×C13—21no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—44no—
662C2×C4×C13—82no—
663C2×C4×C13—82no—
664C2×C4×C13C2×#4112yes—
665C2×C4×C13C2×#4112yes—
666C2×C4×C13C2×#4112yes—
667C2×C4×C13C2×#4112yes—
668C22⋊D13—28no—
669C22⋊D13—44no—
670C2×Dic13—21no—
671C2×Dic13—21no—
672C2×Dic13—21no—
673C2×Dic13—21no—
674C2×Dic13—21no—
675C2×Dic13—21no—
676C2×Dic13—21no—
677C2×Dic13—21no—
678C2×Dic13—21no—
679C2×Dic13—21no—
680C2×Dic13—21no—
681C2×Dic13—21no—
682C2×Dic13—21no—
683C2×Dic13—21no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—44no—
704C2×Dic13—44no—
705C2×Dic13—44no—
706C2×Dic13C2×#4112yes—
707C2×Dic13H(5,𝔽2)12yes—
708C2×Dic13H(5,𝔽2)12yes—
709D52—82no—
710D52—82no—
711D52—82no—
712D52—82no—
713D52—82no—
714C4×D13—44no—
715C4×D13—44no—
716C4×D13—44no—
717C4×D13—44no—
718C2×#126—131no—
719C2×#126—131no—
720C2×#124—131no—
721C2×#123—131no—
722C2×C22⋊Q8—131no—
723C2×C22⋊Q8C2×D1311yescharacteristic
724C2×#121—131no—
725C2×#121—131no—
726C2×#120—131no—
727C2×#120—131no—
728C2×C4×D4—131no—
729C2×C4×D4—131no—
730C2×C4×D4—131no—
731C2×C4×D4—131no—
732C2×#117—131no—
733C22×C4⋊C4—131no—
734C22×C22⋊C4—131no—
735C22×C22⋊C4—131no—
736C22×C22⋊C4—131no—
737C22×C42—131no—
738C22×C42—131no—
739#400—131no—
740#400—131no—
741#400—131no—
742#400—131no—
743#400—131no—
744#400—131no—
745#399—131no—
746#399—131no—
747#398—131no—
748#398—131no—
749#397—131no—
750#397—131no—
751#397—131no—
752#397—131no—
753#397—131no—
754#397—131no—
755#397—131no—
756#397—131no—
757#396—131no—
758#396—131no—
759#396—131no—
760#396—131no—
761#395—131no—
762#394—131no—
763#394—131no—
764#394—131no—
765#394—131no—
766#394—131no—
767#394—131no—
768#394—131no—
769#393—131no—
770#392—131no—
771#391C2×D1311yescharacteristic, complemented
772#391C2×D1311yescharacteristic, complemented
773#390—131no—
774#390—131no—
775#390—131no—
776#390—131no—
777#390—131no—
778#390—131no—
779#389—131no—
780#389—131no—
781#389C2×D1311yescharacteristic, complemented
782#389C2×D1311yescharacteristic, complemented
783#388—131no—
784#388—131no—
785#388—131no—
786#388—131no—
787#388—131no—
788#388—131no—
789#388—131no—
790#388—131no—
791#388—131no—
792#388—131no—
793#388—131no—
794#388—131no—
795#388—131no—
796#388—131no—
797#388—131no—
798#388—131no—
799#388—131no—
800#388—131no—
801#388—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#387—131no—
814#387—131no—
815#387—131no—
816#387—131no—
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387C2×D1311yescharacteristic, complemented
824#387C2×D1311yescharacteristic, complemented
825#387C2×D1311yescharacteristic, complemented
826#387C2×D1311yescharacteristic, complemented
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386—131no—
837#386—131no—
838#386—131no—
839#386—131no—
840#386—131no—
841#386—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385C2×D1311yescharacteristic
850#385C2×D1311yescharacteristic
851#382—131no—
852#381—131no—
853#380—131no—
854#380C2×D1311yescharacteristic
855#379—131no—
856#379—131no—
857C4×C4⋊C4—131no—
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C22⋊C4—131no—
862C4×C22⋊C4—131no—
863C4×C22⋊C4—131no—
864C4×C22⋊C4—131no—
865C4×C22⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4C2×D1311yescharacteristic
868C4×C22⋊C4C2×D1311yescharacteristic
869#376—131no—
870C2×#95—131no—
871C2×#95C2×D1311yescharacteristic
872C43—131no—
873C22×C13—22no—
874C22×C13—22no—
875C22×C13—22no—
876C22×C13—22no—
877C22×C13—22no—
878C22×C13—22no—
879C22×C13#52914yes—
880C22×C13C22×#4111yescharacteristic
881C22×C13C22×#4111yescharacteristic
882C22×C13C22×#4111yescharacteristic
883C22×C13C2×H(5,𝔽2)11yescharacteristic
884C22×C13C2×H(5,𝔽2)11yescharacteristic
885C22×C13#58511yescharacteristic
886C22×C13#58511yescharacteristic
887C2×D13—22no—
888C2×D13—22no—
889C2×D13—22no—
890C2×D13—41no—
891C2×D13—41no—
892C2×D13—41no—
893C2×D13—41no—
894C2×D13—41no—
895C2×D13—41no—
896C2×D13—41no—
897C2×D13—41no—
898C2×D13—41no—
899C2×D13—41no—
900C2×D13—41no—
901C2×D13—41no—
902C2×D13—41no—
903C2×D13—41no—
904C2×D13—41no—
905C2×D13—41no—
906C2×D13—41no—
907C2×D13—41no—
908C2×D13—41no—
909C2×D13—41no—
910C2×D13—41no—
911C2×D13—41no—
912C2×D13—41no—
913C2×D13—41no—
914C2×D13—41no—
915C2×D13—88no—
916C4×C13—22no—
917C4×C13—22no—
918C4×C13—22no—
919C4×C13—22no—
920C4×C13—41no—
921C4×C13—41no—
922C4×C13—41no—
923C4×C13—41no—
924C4×C13—41no—
925C4×C13—41no—
926C4×C13—41no—
927C4×C13—41no—
928C4×C13—41no—
929C4×C13—41no—
930Dic13—22no—
931Dic13—22no—
932Dic13—22no—
933Dic13—41no—
934Dic13—41no—
935Dic13—41no—
936Dic13—41no—
937Dic13—41no—
938Dic13—41no—
939Dic13—41no—
940Dic13—41no—
941Dic13—41no—
942C25—131no—
943C22×Q8C22×D1311yescharacteristic
944C22×D4—131no—
945C22×D4—131no—
946C22×D4—131no—
947C22×D4—131no—
948C22×D4—131no—
949C22×D4—131no—
950C22×D4—131no—
951C23×C4—131no—
952C23×C4—131no—
953C23×C4—131no—
954C23×C4—131no—
955C23×C4—131no—
956C23×C4—131no—
957C23×C4—131no—
958C23×C4C22×D1311yescharacteristic
959C23×C4C22×D1311yescharacteristic
960C23×C4C22×D1311yescharacteristic
961#126—522no—
962#126—522no—
963#124—522no—
964#123—522no—
965C22⋊Q8—24no—
966C22⋊Q8—522no—
967#121—264no—
968#121—522no—
969#120—264no—
970#120—264no—
971C4×D4—264no—
972C4×D4—264no—
973C4×D4—264no—
974C4×D4—264no—
975#117—522no—
976C2×C4⋊C4—131no—
977C2×C4⋊C4—131no—
978C2×C4⋊C4—131no—
979C2×C4⋊C4—131no—
980C2×C4⋊C4—131no—
981C2×C4⋊C4—131no—
982C2×C4⋊C4—131no—
983C2×C4⋊C4—131no—
984C2×C4⋊C4—131no—
985C2×C4⋊C4—131no—
986C2×C4⋊C4—131no—
987C2×C4⋊C4—131no—
988C2×C4⋊C4—131no—
989C2×C4⋊C4—131no—
990C2×C4⋊C4—131no—
991C2×C4⋊C4—131no—
992C2×C4⋊C4—131no—
993C2×C4⋊C4—131no—
994C2×C4⋊C4—131no—
995C2×C4⋊C4—522no—
996C2×C4⋊C4C22×D1311yescharacteristic
997C2×C4⋊C4C22×D1311yescharacteristic
998C2×C4⋊C4C22×D1311yescharacteristic
999C2×C4⋊C4C22×D1311yescharacteristic
1000C2×C4⋊C4C22×D1311yescharacteristic
1001C2×C4⋊C4C22×D1311yescharacteristic
1002C2×C4⋊C4C22×D1311yescharacteristic
1003C2×C4⋊C4C22×D1311yescharacteristic
1004C2×C4⋊C4C22×D1311yescharacteristic
1005C2×C22⋊C4—131no—
1006C2×C22⋊C4—131no—
1007C2×C22⋊C4—131no—
1008C2×C22⋊C4—131no—
1009C2×C22⋊C4—131no—
1010C2×C22⋊C4—131no—
1011C2×C22⋊C4—131no—
1012C2×C22⋊C4—131no—
1013C2×C22⋊C4—131no—
1014C2×C22⋊C4—131no—
1015C2×C22⋊C4—131no—
1016C2×C22⋊C4—131no—
1017C2×C22⋊C4—131no—
1018C2×C22⋊C4—131no—
1019C2×C22⋊C4—131no—
1020C2×C22⋊C4—131no—
1021C2×C22⋊C4—131no—
1022C2×C22⋊C4—131no—
1023C2×C22⋊C4—131no—
1024C2×C22⋊C4—131no—
1025C2×C22⋊C4—131no—
1026C2×C22⋊C4—131no—
1027C2×C22⋊C4—131no—
1028C2×C22⋊C4—131no—
1029C2×C22⋊C4—131no—
1030C2×C22⋊C4—131no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—264no—
1050C2×C22⋊C4—522no—
1051C2×C22⋊C4—522no—
1052C2×C22⋊C4C22×D1311yescharacteristic
1053C2×C22⋊C4C22×D1311yescharacteristic
1054C2×C22⋊C4C22×D1311yescharacteristic
1055C2×C22⋊C4C22×D1311yescharacteristic
1056C2×C42—131no—
1057C2×C42—131no—
1058C2×C42—131no—
1059C2×C42—131no—
1060C2×C42—131no—
1061C2×C42—131no—
1062C2×C42—131no—
1063C2×C42—131no—
1064C2×C42—131no—
1065C2×C42—131no—
1066C2×C42—131no—
1067C2×C42—131no—
1068C2×C42—522no—
1069C2×C42—522no—
1070C2×C42C22×D1311yescharacteristic
1071C2×C42C22×D1311yescharacteristic
1072C2×C42C22×D1311yescharacteristic
1073C2×C42C22×D1311yescharacteristic
1074#95—131no—
1075#95—131no—
1076#95—131no—
1077#95—131no—
1078#95—131no—
1079#95—131no—
1080#95—131no—
1081#95—131no—
1082#95—131no—
1083#95—131no—
1084#95—131no—
1085#95—131no—
1086#95—131no—
1087#95—131no—
1088#95—131no—
1089#95—131no—
1090#95—131no—
1091#95—131no—
1092#95—131no—
1093#95—131no—
1094#95—131no—
1095#95—131no—
1096#95—131no—
1097#95—131no—
1098#95—131no—
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95C22×D1311yescharacteristic
1105#95C22×D1311yescharacteristic
1106#95C22×D1311yescharacteristic
1107#95C22×D1311yescharacteristic
1108#95C22×D1311yescharacteristic
1109#95C22×D1311yescharacteristic
1110#95C22×D1311yescharacteristic
1111#95C22×D1311yescharacteristic
1112#95C22×D1311yescharacteristic
1113#95C22×D1311yescharacteristic
1114#95C22×D1311yescharacteristic
1115#95C22×D1311yescharacteristic
1116#95C22×D1311yescharacteristic
1117#95C22×D1311yescharacteristic
1118C2×C13—24no—
1119C2×C13C2×#52911yescharacteristic
1120C2×C13#345911yescharacteristic
1121C2×C13#346011yescharacteristic
1122C2×C13#351311yescharacteristic
1123C2×C13#351411yescharacteristic
1124C2×C13#351911yescharacteristic
1125C2×C13#352111yescharacteristic
1126D13—42no—
1127D13—81no—
1128D13—81no—
1129D13—81no—
1130C24—131no—
1131C24—131no—
1132C24—131no—
1133C24—131no—
1134C24—262no—
1135C24—262no—
1136C24—262no—
1137C24—521no—
1138C24—521no—
1139C24—521no—
1140C24—521no—
1141C24C23×D1311yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—41no—
1144C2×Q8—41no—
1145C2×D4—134no—
1146C2×D4—262no—
1147C2×D4—262no—
1148C2×D4—262no—
1149C2×D4—262no—
1150C2×D4—262no—
1151C2×D4—262no—
1152C2×D4—262no—
1153C2×D4—262no—
1154C2×D4—262no—
1155C2×D4—262no—
1156C2×D4—521no—
1157C2×D4—521no—
1158C2×D4—521no—
1159C2×D4—521no—
1160C2×D4—521no—
1161C2×D4—521no—
1162C2×D4—521no—
1163C2×D4—521no—
1164C2×D4—521no—
1165C2×D4—521no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—131no—
1175C22×C4—131no—
1176C22×C4—131no—
1177C22×C4—131no—
1178C22×C4—131no—
1179C22×C4—131no—
1180C22×C4—131no—
1181C22×C4—131no—
1182C22×C4—131no—
1183C22×C4—131no—
1184C22×C4—131no—
1185C22×C4—131no—
1186C22×C4—262no—
1187C22×C4—262no—
1188C22×C4—262no—
1189C22×C4—262no—
1190C22×C4—262no—
1191C22×C4—262no—
1192C22×C4—262no—
1193C22×C4—262no—
1194C22×C4—262no—
1195C22×C4—262no—
1196C22×C4—262no—
1197C22×C4—521no—
1198C22×C4—521no—
1199C22×C4—521no—
1200C22×C4—521no—
1201C22×C4—521no—
1202C22×C4—521no—
1203C22×C4—521no—
1204C22×C4—521no—
1205C22×C4—521no—
1206C22×C4—521no—
1207C22×C4#613114yes—
1208C22×C4C23×D1311yescharacteristic
1209C22×C4C23×D1311yescharacteristic
1210C22×C4C23×D1311yescharacteristic
1211C22×C4C23×D1311yescharacteristic
1212C22×C4C23×D1311yescharacteristic
1213C22×C4C23×D1311yescharacteristic
1214C22×C4C23×D1311yescharacteristic
1215C22×C4C23×D1311yescharacteristic
1216C22×C4C23×D1311yescharacteristic
1217C22×C4C23×D1311yescharacteristic
1218C22×C4C23×D1311yescharacteristic
1219C22×C4C23×D1311yescharacteristic
1220C22×C4C23×D1311yescharacteristic
1221C22×C4C23×D1311yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—262no—
1232C4⋊C4—262no—
1233C4⋊C4—262no—
1234C4⋊C4—262no—
1235C4⋊C4—262no—
1236C4⋊C4—262no—
1237C4⋊C4—262no—
1238C4⋊C4—262no—
1239C4⋊C4—262no—
1240C4⋊C4—521no—
1241C4⋊C4—521no—
1242C4⋊C4—521no—
1243C4⋊C4—521no—
1244C4⋊C4—521no—
1245C4⋊C4—521no—
1246C4⋊C4—521no—
1247C4⋊C4—521no—
1248C4⋊C4—521no—
1249C4⋊C4—521no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—262no—
1254C22⋊C4—262no—
1255C22⋊C4—262no—
1256C22⋊C4—262no—
1257C22⋊C4—262no—
1258C22⋊C4—262no—
1259C22⋊C4—262no—
1260C22⋊C4—262no—
1261C22⋊C4—262no—
1262C22⋊C4—262no—
1263C22⋊C4—262no—
1264C22⋊C4—262no—
1265C22⋊C4—262no—
1266C22⋊C4—262no—
1267C22⋊C4—262no—
1268C22⋊C4—262no—
1269C22⋊C4—262no—
1270C22⋊C4—262no—
1271C22⋊C4—262no—
1272C22⋊C4—262no—
1273C22⋊C4—262no—
1274C22⋊C4—262no—
1275C22⋊C4—521no—
1276C22⋊C4—521no—
1277C22⋊C4—521no—
1278C22⋊C4—521no—
1279C22⋊C4—521no—
1280C22⋊C4—521no—
1281C22⋊C4—521no—
1282C22⋊C4—521no—
1283C22⋊C4—521no—
1284C22⋊C4—521no—
1285C22⋊C4—521no—
1286C22⋊C4—521no—
1287C22⋊C4—521no—
1288C22⋊C4—521no—
1289C22⋊C4—521no—
1290C22⋊C4—521no—
1291C22⋊C4—521no—
1292C22⋊C4—521no—
1293C22⋊C4—521no—
1294C22⋊C4—521no—
1295C22⋊C4—521no—
1296C22⋊C4—521no—
1297C22⋊C4#612714yes—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—262no—
1303C42—262no—
1304C42—262no—
1305C42—262no—
1306C42—262no—
1307C42—262no—
1308C42—262no—
1309C42—262no—
1310C42—521no—
1311C42—521no—
1312C42—521no—
1313C42—521no—
1314C13#3506611yescharacteristic, complemented, Sylow
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—132no—
1320C23—261no—
1321C23—261no—
1322C23—261no—
1323C23—261no—
1324C23—261no—
1325C23—261no—
1326C23—261no—
1327C23—261no—
1328C23—261no—
1329C23—261no—
1330C23—261no—
1331C23—261no—
1332C23—261no—
1333C23—261no—
1334C23—261no—
1335C23—261no—
1336C23—261no—
1337C23—261no—
1338C23—261no—
1339C23—261no—
1340C23—261no—
1341C23—261no—
1342C23—261no—
1343C23—261no—
1344C23—261no—
1345C23—261no—
1346C23—261no—
1347C23—524no—
1348C23—524no—
1349C23—524no—
1350C23—1042no—
1351C23—1042no—
1352C23—1042no—
1353C23—1042no—
1354C23C2×#612712yes—
1355C23C2×#613112yes—
1356C23#41×D1312yes—
1357C23C24×D1311yescharacteristic
1358Q8—82no—
1359D4—268no—
1360D4—524no—
1361D4—1042no—
1362D4—1042no—
1363D4—1042no—
1364D4—1042no—
1365D4—1042no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—132no—
1408C2×C4—132no—
1409C2×C4—132no—
1410C2×C4—261no—
1411C2×C4—261no—
1412C2×C4—261no—
1413C2×C4—261no—
1414C2×C4—261no—
1415C2×C4—261no—
1416C2×C4—261no—
1417C2×C4—261no—
1418C2×C4—261no—
1419C2×C4—261no—
1420C2×C4—261no—
1421C2×C4—261no—
1422C2×C4—261no—
1423C2×C4—261no—
1424C2×C4—261no—
1425C2×C4—261no—
1426C2×C4—261no—
1427C2×C4—261no—
1428C2×C4—261no—
1429C2×C4—261no—
1430C2×C4—261no—
1431C2×C4—261no—
1432C2×C4—261no—
1433C2×C4—261no—
1434C2×C4—261no—
1435C2×C4—261no—
1436C2×C4—261no—
1437C2×C4—261no—
1438C2×C4—261no—
1439C2×C4—261no—
1440C2×C4—261no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—524no—
1444C2×C4—524no—
1445C2×C4—524no—
1446C2×C4—524no—
1447C2×C4—524no—
1448C2×C4—524no—
1449C2×C4—524no—
1450C2×C4C2×#612712yes—
1451C2×C4C2×#612712yes—
1452C2×C4C2×#613112yes—
1453C2×C4C2×#613112yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—262no—
1461C22—262no—
1462C22—262no—
1463C22—521no—
1464C22—521no—
1465C22—521no—
1466C22—521no—
1467C22—521no—
1468C22—521no—
1469C22—521no—
1470C22—521no—
1471C22—521no—
1472C22—521no—
1473C22—521no—
1474C22—521no—
1475C22—521no—
1476C22—521no—
1477C22—521no—
1478C22—521no—
1479C22—521no—
1480C22—521no—
1481C22—521no—
1482C22—521no—
1483C22—521no—
1484C22—521no—
1485C22—521no—
1486C22—521no—
1487C22—521no—
1488C22—1048no—
1489C22#1171928514yes—
1490C22C22×#612711yescharacteristic
1491C22C22×#613111yescharacteristic
1492C22C2×#41×D1311yescharacteristic
1493C22D13×H(5,𝔽2)11yescharacteristic
1494C22D13×H(5,𝔽2)11yescharacteristic
1495C22#1171965011yescharacteristic
1496C22#1171965211yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—262no—
1512C4—262no—
1513C4—262no—
1514C4—521no—
1515C4—521no—
1516C4—521no—
1517C4—521no—
1518C4—521no—
1519C4—521no—
1520C4—521no—
1521C4—521no—
1522C4—521no—
1523C2—24no—
1524C2—522no—
1525C2—1041no—
1526C2—1041no—
1527C2—1041no—
1528C2C2×#1171928511yescharacteristic
1529C2#1312824811yescharacteristic
1530C2#1312825911yescharacteristic
1531C2#1312876611yescharacteristic
1532C2#1312878911yescharacteristic
1533C2#1312885811yescharacteristic
1534C2#1312890611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2329C2
prime radical#13118370C2
hypercenter#2329D13
hypocenterC13#35066
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2329

Complements

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

NH ≅ G/Ntype
1. #13123229C2semidirect
2. #13123204C2semidirect
3. #13123160C2semidirect
4. #13123140C2semidirect
5. #13120875C2semidirect
6. #13120860C2semidirect
7. #13120845C2semidirect
8. #13120830C2semidirect
9. #13120394C2semidirect
10. #13120379C2semidirect
11. #13119987C2semidirect
12. #13119972C2semidirect
13. #13119660C2semidirect
14. #13119615C2semidirect
15. #13119341C2semidirect
16. #13119104C2semidirect
17. #13119089C2semidirect
18. #13118999C2semidirect
19. #13118969C2semidirect
20. #13118954C2semidirect
21. #13118641C2semidirect
22. #13118590C2semidirect
24. #13118304C2semidirect
25. #13117539C2semidirect
26. #13117496C2semidirect
27. #13117496C2semidirect
28. #13117275C2semidirect
29. C2×#11718330C2semidirect
30. C4×#88135C2semidirect
31. C13×#2329C2semidirect
34. C2×#88200C22semidirect
44. C2×#88152C22semidirect
51. C2×#88126C22semidirect
52. C2×C42×D13C22semidirect
53. C13×#391C22semidirect
54. C13×#391C22semidirect
55. C13×#389C22semidirect
56. C13×#389C22semidirect
57. C13×#387C22semidirect
58. C13×#387C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
68. #11718890C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
79. #11718654C22semidirect
81. #11718653C22semidirect
86. #11718652C22semidirect
91. #11718651C22semidirect
92. #11718650C22semidirect
95. #11718647C22semidirect
96. #11718647C22semidirect
97. #11718646C22semidirect
98. #11718645C22semidirect
99. #11718643C22semidirect
100. #11718642C22semidirect
101. #11718639C22semidirect
102. #11718639C22semidirect
103. #11718638C22semidirect
104. #11718634C22semidirect
125. C4×#6103C22semidirect
126. C4×#6103C22semidirect
127. #11718593C22semidirect
128. C4×#6101C22semidirect
129. C4×#6101C22semidirect
130. C42×Dic13C22semidirect
133. #11718336C22semidirect
134. #11718336C22semidirect
145. #11718331C22semidirect
146. #11718331C22semidirect
157. #11718330C22semidirect
158. #11718330C22semidirect
159. #11718330C22semidirect
160. #11718329C22semidirect
161. #11718329C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
170. #11718326C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718325C22semidirect
174. #11718322C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718321C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718310C22semidirect
186. #11718310C22semidirect
572. #2329D13semidirect
771. #391C2×D13semidirect
772. #391C2×D13semidirect
781. #389C2×D13semidirect
782. #389C2×D13semidirect
823. #387C2×D13semidirect
824. #387C2×D13semidirect
825. #387C2×D13semidirect
826. #387C2×D13semidirect
1314. C13#35066semidirect

Maximal subgroups

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

subgroupindex
#131232292
#131232042
#131231602
#131231402
#131208752
#131208602
#131208452
#131208302
#131203942
#131203792
#131199872
#131199722
#131196602
#131196152
#131193412
#131191042
#131190892
#131189992
#131189692
#131189542
#131186412
#131185902
#131183702
#131183042
#131175392
#131174962
#131172752
C2×#117183302
C4×#881352
C13×#23292
#3506613