Finite Group Databasebeta

← #16071391

Subgroups — #16071391

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#13123150C211yesmaximal, characteristic, complemented
2#13123143C211yesmaximal, characteristic, complemented
3#13122557C211yesmaximal, characteristic, complemented
4#13122509C211yesmaximal, characteristic, complemented
5#13122347C211yesmaximal, characteristic, complemented
6#13122338C211yesmaximal, characteristic, complemented
7#13122036C211yesmaximal, characteristic, complemented
8#13122010C211yesmaximal, characteristic, complemented
9#13121997C211yesmaximal, characteristic, complemented
10#13121985C211yesmaximal, characteristic, complemented
11#13121972C211yesmaximal, characteristic, complemented
12#13121899C211yesmaximal, characteristic, complemented
13#13121894C211yesmaximal, characteristic, complemented
14#13121758C211yesmaximal, characteristic, complemented
15#13121368C211yesmaximal, characteristic, complemented
16#13121358C211yesmaximal, characteristic, complemented
17#13121306C211yesmaximal, characteristic, complemented
18#13120654C211yesmaximal, characteristic, complemented
19#13120621C211yesmaximal, characteristic, complemented
20#13119330C211yesmaximal, characteristic, complemented
21#13119216C211yesmaximal, characteristic, complemented
22#13119113C211yesmaximal, characteristic, complemented
23#13118667C211yesmaximal, characteristic, complemented
24#13118501C211yesmaximal, characteristic, complemented
25#13118310C211yesmaximal, characteristic, complemented
26#13118231C211yesmaximal, characteristic
27#13118227C211yesmaximal, characteristic
28#13117492C211yesmaximal, characteristic
29#13117447C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2746C211yesmaximal, characteristic, complemented
32C2×#88191C2211yescharacteristic
33C2×C4×C22⋊D13C2211yescharacteristic
34C22×#6103C2211yescharacteristic
35C2×#88178C2211yescharacteristic
36C2×#88150C2211yescharacteristic
37C2×C4⋊C4×D13C2211yescharacteristic
38C2×#88143C2211yescharacteristic, complemented
39C2×#88137C2211yescharacteristic
40C2×#88137C2211yescharacteristic
41C2×C22⋊C4×D13C2211yescharacteristic
42C2×C22⋊C4×D13C2211yescharacteristic
43C2×C22⋊C4×D13C2211yescharacteristic
44C2×C22⋊C4×D13C2211yescharacteristic
45C2×#88133C2211yescharacteristic, complemented
46C2×C42×D13C2211yescharacteristic
47C13×#401C2211yescharacteristic, complemented
48C13×#400C2211yescharacteristic, complemented
49C13×#399C2211yescharacteristic, complemented
50C13×#398C2211yescharacteristic, complemented
51C13×#397C2211yescharacteristic
52C13×#394C2211yescharacteristic
53C13×#388C2211yescharacteristic
54C13×#388C2211yescharacteristic, complemented
55C13×#387C2211yescharacteristic, complemented
56C13×#386C2211yescharacteristic
57C13×#386C2211yescharacteristic
58C13×#385C2211yescharacteristic
59C13×#385C2211yescharacteristic
60C13×#381C2211yescharacteristic, complemented
61C13×#380C2211yescharacteristic, complemented
62#11718883C2211yescharacteristic
63#11718882C2211yescharacteristic
64#11718881C2211yescharacteristic
65#11718874C2211yescharacteristic
66#11718873C2211yescharacteristic
67#11718871C2211yescharacteristic
68#11718871C2211yescharacteristic, complemented
69#11718871C2211yescharacteristic, complemented
70#11718655C2211yescharacteristic
71#11718653C2211yescharacteristic
72#11718651C2211yescharacteristic
73#11718650C2211yescharacteristic
74#11718650C2211yescharacteristic
75#11718650C2211yescharacteristic
76#11718650C2211yescharacteristic
77#11718650C2211yescharacteristic
78#11718650C2211yescharacteristic
79#11718648C2211yescharacteristic
80#11718648C2211yescharacteristic
81#11718648C2211yescharacteristic
82#11718646C2211yescharacteristic, complemented
83#11718645C2211yescharacteristic, complemented
84#11718645C2211yescharacteristic, complemented
85#11718645C2211yescharacteristic, complemented
86#11718645C2211yescharacteristic, complemented
87#11718644C2211yescharacteristic, complemented
88#11718644C2211yescharacteristic, complemented
89#11718643C2211yescharacteristic, complemented
90#11718643C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718642C2211yescharacteristic, complemented
93#11718640C2211yescharacteristic, complemented
94#11718633C2211yescharacteristic, complemented
95#11718622C2211yescharacteristic
96#11718620C2211yescharacteristic
97#11718618C2211yescharacteristic
98#11718617C2211yescharacteristic
99#11718617C2211yescharacteristic
100#11718617C2211yescharacteristic
101#11718617C2211yescharacteristic
102#11718617C2211yescharacteristic
103#11718616C2211yescharacteristic
104#11718614C2211yescharacteristic
105#11718614C2211yescharacteristic
106#11718614C2211yescharacteristic, complemented
107#11718613C2211yescharacteristic
108#11718613C2211yescharacteristic
109#11718613C2211yescharacteristic
110#11718613C2211yescharacteristic, complemented
111#11718613C2211yescharacteristic, complemented
112#11718613C2211yescharacteristic, complemented
113#11718612C2211yescharacteristic
114#11718612C2211yescharacteristic, complemented
115#11718611C2211yescharacteristic
116#11718610C2211yescharacteristic, complemented
117#11718609C2211yescharacteristic, complemented
118#11718608C2211yescharacteristic, complemented
119#11718607C2211yescharacteristic
120#11718607C2211yescharacteristic
121#11718606C2211yescharacteristic
122#11718606C2211yescharacteristic, complemented
123#11718605C2211yescharacteristic
124#11718605C2211yescharacteristic
125#11718605C2211yescharacteristic
126#11718603C2211yescharacteristic
127#11718603C2211yescharacteristic
128#11718601C2211yescharacteristic
129#11718594C2211yescharacteristic, complemented
130#11718594C2211yescharacteristic, complemented
131#11718337C2211yescharacteristic
132#11718336C2211yescharacteristic
133#11718335C2211yescharacteristic
134#11718334C2211yescharacteristic
135#11718331C2211yescharacteristic
136#11718331C2211yescharacteristic
137#11718330C2211yescharacteristic
138#11718330C2211yescharacteristic
139#11718329C2211yescharacteristic
140#11718329C2211yescharacteristic
141#11718329C2211yescharacteristic
142#11718329C2211yescharacteristic
143#11718329C2211yescharacteristic
144#11718329C2211yescharacteristic
145#11718329C2211yescharacteristic
146#11718328C2211yescharacteristic
147#11718328C2211yescharacteristic
148#11718328C2211yescharacteristic
149#11718328C2211yescharacteristic
150#11718327C2211yescharacteristic
151#11718325C2211yescharacteristic
152#11718325C2211yescharacteristic
153#11718325C2211yescharacteristic
154#11718325C2211yescharacteristic
155#11718325C2211yescharacteristic
156#11718325C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159#11718321C2211yescharacteristic, complemented
160#11718321C2211yescharacteristic, complemented
161#11718321C2211yescharacteristic, complemented
162#11718321C2211yescharacteristic, complemented
163#11718320C2211yescharacteristic, complemented
164#11718320C2211yescharacteristic, complemented
165#11718319C2211yescharacteristic, complemented
166#11718319C2211yescharacteristic, complemented
167#11718319C2211yescharacteristic, complemented
168#11718318C2211yescharacteristic, complemented
169#11718318C2211yescharacteristic, complemented
170#11718317C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718316C2211yescharacteristic, complemented
173#11718316C2211yescharacteristic, complemented
174#11718315C2211yescharacteristic, complemented
175#11718315C2211yescharacteristic, complemented
176#11718315C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C22×C4×D13C2311yescharacteristic
195C22×C4×D13C2311yescharacteristic
196C22×C4×D13C2311yescharacteristic
197C22×C4×D13C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C22×C4×D13C2311yescharacteristic
200C22×C4×D13C2311yescharacteristic
201C22×C4×D13C2311yescharacteristic
202C22×Dic26C2311yescharacteristic
203C2×C13×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
211C2×C13×C22⋊C4C2311yescharacteristic
212C2×C13×C22⋊C4C2311yescharacteristic
213C2×C13×C22⋊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×C42×C13C2311yescharacteristic
221C2×C22⋊Dic13C2311yescharacteristic
222C2×C22⋊Dic13C2311yescharacteristic
223C2×C22⋊Dic13C2311yescharacteristic
224C2×C22⋊Dic13C2311yescharacteristic
225C2×C22⋊Dic13C2311yescharacteristic
226C2×C22⋊Dic13C2311yescharacteristic
227C2×C22⋊Dic13C2311yescharacteristic
228C2×C22⋊Dic13C2311yescharacteristic
229C2×C22⋊Dic13C2311yescharacteristic
230C2×C22⋊Dic13C2311yescharacteristic
231C2×C22⋊Dic13C2311yescharacteristic
232C2×C22⋊Dic13C2311yescharacteristic
233#88191—24no—
234C4×C22⋊D13—42no—
235C2×#6103—42no—
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×C4⋊Dic13C2311yescharacteristic
255C2×C4⋊Dic13C2311yescharacteristic
256C2×C4⋊Dic13C2311yescharacteristic
257C2×C4⋊Dic13C2311yescharacteristic
258C2×C4⋊Dic13C2311yescharacteristic
259C2×C4⋊Dic13C2311yescharacteristic
260C2×C4⋊Dic13C2311yescharacteristic
261C2×C4⋊Dic13C2311yescharacteristic
262C2×C4⋊Dic13C2311yescharacteristic
263#88178—42no—
264C2×#6101C2311yescharacteristic
265C2×#6101C2311yescharacteristic
266C2×#6101C2311yescharacteristic
267C2×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
285C2×C4×Dic13C2311yescharacteristic
286C2×C4×Dic13C2311yescharacteristic
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2311yescharacteristic
289C2×C4×Dic13C2311yescharacteristic
290#88150—42no—
291C4⋊C4×D13—42no—
292#88143—42no—
293#88137—42no—
294#88137—42no—
295C22⋊C4×D13—24no—
296C22⋊C4×D13—24no—
297C22⋊C4×D13—42no—
298C22⋊C4×D13—42no—
299#88133—42no—
300C42×D13—42no—
301C13×#95C2311yescharacteristic
302C13×#95C2311yescharacteristic
303C13×#95C2311yescharacteristic
304C13×#95C2311yescharacteristic
305C13×#95C2311yescharacteristic
306C13×#95C2311yescharacteristic
307C13×#95C2311yescharacteristic
308C13×#95C2311yescharacteristic
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
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×D4×C13—22no—
370C2×D4×C13—41no—
371C2×D4×C13—41no—
372C22×C4×C13—41no—
373C22×C4×C13—41no—
374C22×C4×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×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—22no—
423C2×C4×D13—22no—
424C2×C4×D13—22no—
425C2×C4×D13—41no—
426C2×C4×D13—41no—
427C2×C4×D13—41no—
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×Dic26—41no—
439C2×Dic26—41no—
440C2×Dic26—41no—
441C13×C4⋊C4—41no—
442C13×C4⋊C4—41no—
443C13×C4⋊C4—41no—
444C13×C4⋊C4—41no—
445C13×C4⋊C4—41no—
446C13×C4⋊C4—41no—
447C13×C4⋊C4—41no—
448C13×C22⋊C4—22no—
449C13×C22⋊C4—22no—
450C13×C22⋊C4—41no—
451C13×C22⋊C4—41no—
452C13×C22⋊C4—41no—
453C13×C22⋊C4—41no—
454C13×C22⋊C4—41no—
455C13×C22⋊C4—41no—
456C13×C22⋊C4—41no—
457C13×C22⋊C4—41no—
458C42×C13—41no—
459C22⋊Dic13—22no—
460C22⋊Dic13—22no—
461C22⋊Dic13—22no—
462C22⋊Dic13—22no—
463C22⋊Dic13—22no—
464C22⋊Dic13—41no—
465C22⋊Dic13—41no—
466C22⋊Dic13—41no—
467C22⋊Dic13—41no—
468C22⋊Dic13—41no—
469C22⋊Dic13—41no—
470C22⋊Dic13—41no—
471#6103—22no—
472#6103—22no—
473#6103—22no—
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—41no—
483#6103—41no—
484#6103—41no—
485#6103—41no—
486#6103—41no—
487#6103—41no—
488#6103—41no—
489C4⋊Dic13—22no—
490C4⋊Dic13—41no—
491C4⋊Dic13—41no—
492C4⋊Dic13—41no—
493C4⋊Dic13—41no—
494C4⋊Dic13—41no—
495C4⋊Dic13—41no—
496C4⋊Dic13—41no—
497C4⋊Dic13—41no—
498#6101—22no—
499#6101—22no—
500#6101—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—
518C4×Dic13—22no—
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#2746D1311yescharacteristic, complemented
532#2745—131no—
533#2744—131no—
534#2744—131no—
535#2743—131no—
536#2738—131no—
537#2737—131no—
538#2723—131no—
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—
591D4×C13—82no—
592C2×C4×C13—21no—
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×C13—82no—
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—82no—
677C2×Dic13H(5,𝔽2)12yes—
678C4×D13—44no—
679C4×D13—44no—
680C4×D13—44no—
681C4×D13—44no—
682C4×D13—82no—
683C4×D13—82no—
684C4×D13—82no—
685C4×D13—82no—
686Dic26—82no—
687C2×#126—131no—
688C2×#125—131no—
689C2×#123—131no—
690C2×#123—131no—
691C2×C22⋊Q8—131no—
692C2×C22⋊Q8—131no—
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#401C2×D1311yescharacteristic, complemented
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#400C2×D1311yescharacteristic, complemented
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#398C2×D1311yescharacteristic, complemented
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#397—131no—
738#397C2×D1311yescharacteristic
739#396—131no—
740#396—131no—
741#396—131no—
742#395—131no—
743#395—131no—
744#394—131no—
745#394—131no—
746#394—131no—
747#394C2×D1311yescharacteristic
748#393—131no—
749#393—131no—
750#391—131no—
751#390—131no—
752#390—131no—
753#389—131no—
754#389—131no—
755#389—131no—
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#388C2×D1311yescharacteristic
770#388C2×D1311yescharacteristic, complemented
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#386C2×D1311yescharacteristic
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#385C2×D1311yescharacteristic
815#385C2×D1311yescharacteristic
816#383—131no—
817#383—131no—
818#382—131no—
819#382—131no—
820#381—131no—
821#381—131no—
822#381—131no—
823#381—131no—
824#381—131no—
825#381—131no—
826#381C2×D1311yescharacteristic, complemented
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#380C2×D1311yescharacteristic, complemented
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—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—
888C4×C13—41no—
889C4×C13—41no—
890C4×C13—41no—
891Dic13—22no—
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×Q8—131no—
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×C4C22×D1311yescharacteristic
920C23×C4C22×D1311yescharacteristic
921#126—522no—
922#125—522no—
923#123—522no—
924#123—522no—
925C22⋊Q8—522no—
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—131no—
957C2×C4⋊C4—131no—
958C2×C4⋊C4—522no—
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—131no—
996C2×C22⋊C4—264no—
997C2×C22⋊C4—264no—
998C2×C22⋊C4—522no—
999C2×C22⋊C4—522no—
1000C2×C22⋊C4—522no—
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—131no—
1017C2×C42—522no—
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#95C22×D1311yescharacteristic
1062#95C22×D1311yescharacteristic
1063#95C22×D1311yescharacteristic
1064#95C22×D1311yescharacteristic
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—521no—
1098C2×Q8—521no—
1099C2×Q8—521no—
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—41no—
1113C22×C4—41no—
1114C22×C4—41no—
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—131no—
1127C22×C4—131no—
1128C22×C4—131no—
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—262no—
1138C22×C4—262no—
1139C22×C4—262no—
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—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—262no—
1177C4⋊C4—262no—
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—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—262no—
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—262no—
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—41no—
1246C42—262no—
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—1042no—
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—21no—
1332C2×C4—82no—
1333C2×C4—82no—
1334C2×C4—132no—
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—261no—
1375C2×C4—261no—
1376C2×C4—524no—
1377C2×C4—524no—
1378C2×C4—524no—
1379C2×C4—524no—
1380C2×C4—1042no—
1381C2×C4—1042no—
1382C2×C4—1042no—
1383C2×C4—1042no—
1384C2×C4—1042no—
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×#41×D1311yescharacteristic
1415C22#1171964811yescharacteristic
1416C22#1171964811yescharacteristic
1417C22D13×H(5,𝔽2)11yescharacteristic
1418C22D13×H(5,𝔽2)11yescharacteristic
1419C22#1171965011yescharacteristic
1420C22D13×2−1+411yescharacteristic
1421C4—41no—
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—262no—
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#1312866911yescharacteristic
1455C2#1312904411yescharacteristic
1456C2#1312914111yescharacteristic
1457C2#1312918911yescharacteristic
1458C2#1312946111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2746C2
prime radicalC2×#88191C22
hypercenter#2746D13
hypocenterC13#36780
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2746

Complements

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

NH ≅ G/Ntype
1. #13123150C2semidirect
2. #13123143C2semidirect
3. #13122557C2semidirect
4. #13122509C2semidirect
5. #13122347C2semidirect
6. #13122338C2semidirect
7. #13122036C2semidirect
8. #13122010C2semidirect
9. #13121997C2semidirect
10. #13121985C2semidirect
11. #13121972C2semidirect
12. #13121899C2semidirect
13. #13121894C2semidirect
14. #13121758C2semidirect
15. #13121368C2semidirect
16. #13121358C2semidirect
17. #13121306C2semidirect
18. #13120654C2semidirect
19. #13120621C2semidirect
20. #13119330C2semidirect
21. #13119216C2semidirect
22. #13119113C2semidirect
23. #13118667C2semidirect
24. #13118501C2semidirect
25. #13118310C2semidirect
29. #13117447C2semidirect
30. D13×#388C2semidirect
31. C13×#2746C2semidirect
38. C2×#88143C22semidirect
45. C2×#88133C22semidirect
47. C13×#401C22semidirect
48. C13×#400C22semidirect
49. C13×#399C22semidirect
50. C13×#398C22semidirect
54. C13×#388C22semidirect
55. C13×#387C22semidirect
60. C13×#381C22semidirect
61. C13×#380C22semidirect
68. #11718871C22semidirect
69. #11718871C22semidirect
82. #11718646C22semidirect
83. #11718645C22semidirect
84. #11718645C22semidirect
85. #11718645C22semidirect
86. #11718645C22semidirect
87. #11718644C22semidirect
88. #11718644C22semidirect
89. #11718643C22semidirect
90. #11718643C22semidirect
91. #11718642C22semidirect
92. #11718642C22semidirect
93. #11718640C22semidirect
94. #11718633C22semidirect
106. #11718614C22semidirect
110. #11718613C22semidirect
111. #11718613C22semidirect
112. #11718613C22semidirect
114. #11718612C22semidirect
116. #11718610C22semidirect
117. #11718609C22semidirect
118. #11718608C22semidirect
122. #11718606C22semidirect
129. #11718594C22semidirect
130. #11718594C22semidirect
159. #11718321C22semidirect
160. #11718321C22semidirect
161. #11718321C22semidirect
162. #11718321C22semidirect
163. #11718320C22semidirect
164. #11718320C22semidirect
165. #11718319C22semidirect
166. #11718319C22semidirect
167. #11718319C22semidirect
168. #11718318C22semidirect
169. #11718318C22semidirect
170. #11718317C22semidirect
171. #11718316C22semidirect
172. #11718316C22semidirect
173. #11718316C22semidirect
174. #11718315C22semidirect
175. #11718315C22semidirect
176. #11718315C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718313C22semidirect
180. #11718313C22semidirect
181. #11718312C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718311C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
531. #2746D13semidirect
702. #401C2×D13semidirect
714. #400C2×D13semidirect
717. #399C2×D13semidirect
726. #398C2×D13semidirect
770. #388C2×D13semidirect
785. #387C2×D13semidirect
826. #381C2×D13semidirect
837. #380C2×D13semidirect
1252. C13#36780semidirect

Maximal subgroups

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

subgroupindex
#131231502
#131231432
#131225572
#131225092
#131223472
#131223382
#131220362
#131220102
#131219972
#131219852
#131219722
#131218992
#131218942
#131217582
#131213682
#131213582
#131213062
#131206542
#131206212
#131193302
#131192162
#131191132
#131186672
#131185012
#131183102
#131182312
#131182272
#131174922
#131174472
D13×#3882
C13×#27462
#3678013