Finite Group Databasebeta

← #16071860

Subgroups — #16071860

Order 3328.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123149C211yesmaximal, characteristic, complemented
2#13123142C211yesmaximal, characteristic, complemented
3#13122810C211yesmaximal, characteristic, complemented
4#13122702C211yesmaximal, characteristic, complemented
5#13122674C211yesmaximal, characteristic, complemented
6#13122662C211yesmaximal, characteristic, complemented
7#13122640C211yesmaximal, characteristic, complemented
8#13122540C211yesmaximal, characteristic, complemented
9#13122530C211yesmaximal, characteristic, complemented
10#13122518C211yesmaximal, characteristic, complemented
11#13122500C211yesmaximal, characteristic, complemented
12#13122446C211yesmaximal, characteristic, complemented
13#13122404C211yesmaximal, characteristic, complemented
14#13122386C211yesmaximal, characteristic, complemented
15#13121793C211yesmaximal, characteristic, complemented
16#13121730C211yesmaximal, characteristic, complemented
17#13121690C211yesmaximal, characteristic, complemented
18#13121356C211yesmaximal, characteristic, complemented
19#13120643C211yesmaximal, characteristic, complemented
20#13120613C211yesmaximal, characteristic
21#13119337C211yesmaximal, characteristic, complemented
22#13119278C211yesmaximal, characteristic, complemented
23#13119109C211yesmaximal, characteristic, complemented
24#13119084C211yesmaximal, characteristic, complemented
25#13118508C211yesmaximal, characteristic, complemented
26#13118292C211yesmaximal, characteristic
27#13118224C211yesmaximal, characteristic
28#13117501C211yesmaximal, characteristic, complemented
29#13117455C211yesmaximal, characteristic, complemented
30C2×#11718330C211yesmaximal, characteristic, complemented
31C13×#2450C211yesmaximal, characteristic, complemented
32C2×C13×C22⋊Q8C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×#88191C2211yescharacteristic
35C2×#88189C2211yescharacteristic
36C2×#88183C2211yescharacteristic
37C22×#6103C2211yescharacteristic
38C22×#6103C2211yescharacteristic
39C22×#6103C2211yescharacteristic
40C22×#6101C2211yescharacteristic
41C22×C4×Dic13C2211yescharacteristic
42C2×#88152C2211yescharacteristic
43C2×#88143C2211yescharacteristic, complemented
44C2×#88133C2211yescharacteristic, complemented
45C2×#88131C2211yescharacteristic
46C2×#88131C2211yescharacteristic
47C13×#400C2211yescharacteristic, complemented
48C13×#398C2211yescharacteristic, complemented
49C13×#396C2211yescharacteristic, complemented
50C13×#393C2211yescharacteristic, complemented
51C13×#391C2211yescharacteristic, complemented
52C13×#387C2211yescharacteristic, complemented
53C13×#386C2211yescharacteristic
54C13×#386C2211yescharacteristic
55C13×#385C2211yescharacteristic
56C13×#385C2211yescharacteristic
57C13×#385C2211yescharacteristic, complemented
58C13×#380C2211yescharacteristic, complemented
59C2×C13×#95C2211yescharacteristic
60#11718892C2211yescharacteristic
61#11718892C2211yescharacteristic
62#11718891C2211yescharacteristic, complemented
63#11718890C2211yescharacteristic, complemented
64#11718881C2211yescharacteristic
65#11718881C2211yescharacteristic
66#11718874C2211yescharacteristic
67#11718873C2211yescharacteristic
68#11718871C2211yescharacteristic
69#11718871C2211yescharacteristic
70#11718871C2211yescharacteristic
71#11718871C2211yescharacteristic
72#11718871C2211yescharacteristic, complemented
73#11718871C2211yescharacteristic, complemented
74C4×C22⋊Dic13C2211yescharacteristic
75C2×#88071C2211yescharacteristic
76#11718655C2211yescharacteristic
77#11718655C2211yescharacteristic
78#11718655C2211yescharacteristic
79#11718655C2211yescharacteristic
80#11718655C2211yescharacteristic
81#11718654C2211yescharacteristic
82#11718654C2211yescharacteristic
83#11718653C2211yescharacteristic
84#11718653C2211yescharacteristic
85#11718653C2211yescharacteristic
86#11718653C2211yescharacteristic
87#11718653C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic
91#11718645C2211yescharacteristic, complemented
92#11718645C2211yescharacteristic, complemented
93#11718643C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718639C2211yescharacteristic, complemented
96#11718639C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718637C2211yescharacteristic, complemented
99#11718637C2211yescharacteristic, complemented
100#11718634C2211yescharacteristic, complemented
101#11718633C2211yescharacteristic, complemented
102#11718633C2211yescharacteristic, complemented
103#11718633C2211yescharacteristic, complemented
104#11718633C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718622C2211yescharacteristic
107#11718622C2211yescharacteristic
108#11718620C2211yescharacteristic
109#11718620C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718618C2211yescharacteristic
115#11718618C2211yescharacteristic
116#11718616C2211yescharacteristic
117#11718616C2211yescharacteristic
118#11718616C2211yescharacteristic
119#11718613C2211yescharacteristic, complemented
120#11718612C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic, complemented
122#11718611C2211yescharacteristic
123#11718611C2211yescharacteristic
124#11718610C2211yescharacteristic, complemented
125#11718607C2211yescharacteristic
126#11718607C2211yescharacteristic
127#11718606C2211yescharacteristic, complemented
128#11718606C2211yescharacteristic, complemented
129#11718606C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718605C2211yescharacteristic, complemented
132#11718604C2211yescharacteristic
133#11718603C2211yescharacteristic
134#11718603C2211yescharacteristic
135#11718601C2211yescharacteristic
136#11718601C2211yescharacteristic
137#11718594C2211yescharacteristic, complemented
138#11718594C2211yescharacteristic, complemented
139#11718337C2211yescharacteristic
140#11718337C2211yescharacteristic
141#11718336C2211yescharacteristic
142#11718336C2211yescharacteristic
143#11718336C2211yescharacteristic
144#11718336C2211yescharacteristic
145#11718336C2211yescharacteristic
146#11718335C2211yescharacteristic
147#11718335C2211yescharacteristic
148#11718335C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718330C2211yescharacteristic
151#11718330C2211yescharacteristic
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic
156#11718330C2211yescharacteristic
157#11718330C2211yescharacteristic
158#11718330C2211yescharacteristic
159#11718330C2211yescharacteristic
160#11718330C2211yescharacteristic
161#11718330C2211yescharacteristic
162#11718330C2211yescharacteristic
163#11718320C2211yescharacteristic, complemented
164#11718319C2211yescharacteristic, complemented
165#11718319C2211yescharacteristic, complemented
166#11718319C2211yescharacteristic, complemented
167#11718318C2211yescharacteristic, complemented
168#11718318C2211yescharacteristic, complemented
169#11718316C2211yescharacteristic, complemented
170#11718315C2211yescharacteristic, complemented
171#11718314C2211yescharacteristic, complemented
172#11718314C2211yescharacteristic, complemented
173#11718314C2211yescharacteristic, complemented
174#11718313C2211yescharacteristic, complemented
175#11718313C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718311C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718311C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C13×C22⋊Q8—42no—
200C4×D4×C13—42no—
201C2×C13×C4⋊C4C2311yescharacteristic
202C2×C13×C4⋊C4C2311yescharacteristic
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×C22⋊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×C42×C13C2311yescharacteristic
218C2×C22⋊Dic13C2311yescharacteristic
219C2×C22⋊Dic13C2311yescharacteristic
220C2×C22⋊Dic13C2311yescharacteristic
221C2×C22⋊Dic13C2311yescharacteristic
222C2×C22⋊Dic13C2311yescharacteristic
223C2×C22⋊Dic13C2311yescharacteristic
224C2×C22⋊Dic13C2311yescharacteristic
225C2×C22⋊Dic13C2311yescharacteristic
226C2×C22⋊Dic13C2311yescharacteristic
227C2×C22⋊Dic13C2311yescharacteristic
228#88191—42no—
229#88189—24no—
230#88183—42no—
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×C4⋊Dic13C2311yescharacteristic
261C2×C4⋊Dic13C2311yescharacteristic
262C2×C4⋊Dic13C2311yescharacteristic
263C2×C4⋊Dic13C2311yescharacteristic
264C2×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×#6101—42no—
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×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×C4×Dic13—42no—
294C2×C4×Dic13C2311yescharacteristic
295C2×C4×Dic13C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304#88152—42no—
305#88143—42no—
306#88133—42no—
307#88131—24no—
308#88131—42no—
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
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#36796—131nomaximal, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C23×D13—22no—
361C23×D13—22no—
362C23×D13—22no—
363C23×D13—41no—
364C23×D13—41no—
365C23×D13—41no—
366C23×D13—41no—
367C23×D13C2411yescharacteristic
368C23×D13C2411yescharacteristic
369C2×Q8×C13—41no—
370C2×Q8×C13—41no—
371C2×Q8×C13—41no—
372C2×D4×C13—22no—
373C2×D4×C13—22no—
374C2×D4×C13—22no—
375C22×C4×C13—22no—
376C22×C4×C13—22no—
377C22×C4×C13—22no—
378C22×C4×C13—41no—
379C22×C4×C13—41no—
380C22×C4×C13—41no—
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×C13C2411yescharacteristic
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
400C2×C22⋊D13—41no—
401C2×C22⋊D13—41no—
402C2×C22⋊D13—41no—
403C2×C22⋊D13—41no—
404C2×C22⋊D13—41no—
405C2×C22⋊D13—41no—
406C22×Dic13—22no—
407C22×Dic13—22no—
408C22×Dic13—22no—
409C22×Dic13—22no—
410C22×Dic13—22no—
411C22×Dic13—41no—
412C22×Dic13—41no—
413C22×Dic13—41no—
414C22×Dic13#4114yes—
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C22×Dic13C2411yescharacteristic
421C22×Dic13C2411yescharacteristic
422C22×Dic13C2411yescharacteristic
423C22×Dic13C2411yescharacteristic
424C22×Dic13C2411yescharacteristic
425C22×Dic13C2411yescharacteristic
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C13×C4⋊C4—41no—
430C13×C4⋊C4—41no—
431C13×C4⋊C4—41no—
432C13×C4⋊C4—41no—
433C13×C4⋊C4—41no—
434C13×C4⋊C4—41no—
435C13×C4⋊C4—41no—
436C13×C4⋊C4—41no—
437C13×C22⋊C4—22no—
438C13×C22⋊C4—22no—
439C13×C22⋊C4—22no—
440C13×C22⋊C4—41no—
441C13×C22⋊C4—41no—
442C13×C22⋊C4—41no—
443C13×C22⋊C4—41no—
444C13×C22⋊C4—41no—
445C42×C13—41no—
446C22⋊Dic13—22no—
447C22⋊Dic13—22no—
448C22⋊Dic13—22no—
449C22⋊Dic13—22no—
450C22⋊Dic13—22no—
451C22⋊Dic13—22no—
452C22⋊Dic13—22no—
453C22⋊Dic13—41no—
454C22⋊Dic13—41no—
455C22⋊Dic13—41no—
456#6103—22no—
457#6103—22no—
458#6103—22no—
459#6103—22no—
460#6103—22no—
461#6103—22no—
462#6103—41no—
463#6103—41no—
464#6103—41no—
465#6103—41no—
466#6103—41no—
467#6103—41no—
468#6103—41no—
469#6103—41no—
470#6103—41no—
471#6103—41no—
472#6103—41no—
473#6103—41no—
474#6103—41no—
475#6103—41no—
476#6103—41no—
477#6103—41no—
478#6103—41no—
479#6103—41no—
480#6103—41no—
481#6103—41no—
482C4⋊Dic13—22no—
483C4⋊Dic13—41no—
484C4⋊Dic13—41no—
485C4⋊Dic13—41no—
486C4⋊Dic13—41no—
487C4⋊Dic13—41no—
488#6101—22no—
489#6101—22no—
490#6101—22no—
491#6101—22no—
492#6101—22no—
493#6101—22no—
494#6101—41no—
495#6101—41no—
496#6101—41no—
497#6101—41no—
498#6101—41no—
499#6101—41no—
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—
514C4×Dic13—22no—
515C4×Dic13—22no—
516C4×Dic13—22no—
517C4×Dic13—22no—
518C4×Dic13—41no—
519C4×Dic13—41no—
520C4×Dic13—41no—
521C4×Dic13—41no—
522C4×Dic13—41no—
523C4×Dic13—41no—
524#2852—131no—
525#2851—131no—
526#2808—131no—
527#2798—131no—
528#2796—131no—
529#2795—131no—
530#2793—131no—
531#2785—131no—
532#2783—131no—
533#2783—131no—
534#2781—131no—
535#2777—131no—
536#2775—131no—
537#2773—131no—
538#2727—131no—
539#2721—131no—
540#2718—131no—
541#2694—131no—
542#2626—131no—
543#2622—131no—
544#2505—131no—
545#2498—131no—
546#2482—131no—
547#2480—131no—
548#2450D1311yescharacteristic, complemented
549#2438—131no—
550#2418—131no—
551#2411—131no—
552#2322—131no—
553#2317—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×C13C2×#4112yes—
567C23×C13H(5,𝔽2)12yes—
568C23×C132−1+412yes—
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—21no—
581C22×D13—21no—
582C22×D13—21no—
583C22×D13—21no—
584C22×D13—44no—
585C22×D13—44no—
586C22×D13—44no—
587C22×D13—82no—
588C22×D13—82no—
589C22×D13—82no—
590C22×D13—82no—
591Q8×C13—82no—
592D4×C13—44no—
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—21no—
632C2×C4×C13—44no—
633C2×C4×C13—82no—
634C2×C4×C13—82no—
635C2×C4×C13—82no—
636C22⋊D13—82no—
637C22⋊D13—82no—
638C2×Dic13—28no—
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—21no—
678C2×Dic13—44no—
679C2×Dic13—44no—
680C2×Dic13C2×#4112yes—
681C2×Dic13C2×#4112yes—
682C2×Dic13H(5,𝔽2)12yes—
683C2×#126—131no—
684C2×#126—131no—
685C2×#125—131no—
686C2×#123—131no—
687C2×#123—131no—
688C2×C22⋊Q8C2×D1311yescharacteristic
689C2×#120—131no—
690C2×C4×D4C2×D1311yescharacteristic
691C2×#117—131no—
692C2×#117—131no—
693C22×C4⋊C4—131no—
694C22×C22⋊C4—131no—
695C22×C22⋊C4—131no—
696C22×C22⋊C4—131no—
697C22×C42—131no—
698#400—131no—
699#400—131no—
700#400—131no—
701#400—131no—
702#400—131no—
703#400C2×D1311yescharacteristic, complemented
704#399—131no—
705#399—131no—
706#399—131no—
707#399—131no—
708#399—131no—
709#399—131no—
710#398—131no—
711#398—131no—
712#398—131no—
713#398—131no—
714#398C2×D1311yescharacteristic, complemented
715#397—131no—
716#397—131no—
717#397—131no—
718#397—131no—
719#397—131no—
720#397—131no—
721#397—131no—
722#397—131no—
723#397—131no—
724#397—131no—
725#397—131no—
726#396—131no—
727#396—131no—
728#396—131no—
729#396—131no—
730#396—131no—
731#396—131no—
732#396—131no—
733#396C2×D1311yescharacteristic, complemented
734#395—131no—
735#394—131no—
736#394—131no—
737#394—131no—
738#394—131no—
739#394—131no—
740#394—131no—
741#394—131no—
742#394—131no—
743#393—131no—
744#393—131no—
745#393C2×D1311yescharacteristic, complemented
746#391—131no—
747#391C2×D1311yescharacteristic, complemented
748#390—131no—
749#390—131no—
750#389—131no—
751#389—131no—
752#389—131no—
753#389—131no—
754#389—131no—
755#389—131no—
756#389—131no—
757#389—131no—
758#389—131no—
759#389—131no—
760#388—131no—
761#388—131no—
762#388—131no—
763#388—131no—
764#388—131no—
765#388—131no—
766#388—131no—
767#388—131no—
768#388—131no—
769#388—131no—
770#388—131no—
771#388—131no—
772#388—131no—
773#388—131no—
774#388—131no—
775#388—131no—
776#388—131no—
777#388—131no—
778#388—131no—
779#388—131no—
780#388—131no—
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#387—131no—
787#387—131no—
788#387—131no—
789#387—131no—
790#387—131no—
791#387—131no—
792#387—131no—
793#387—131no—
794#387—131no—
795#387—131no—
796#387—131no—
797#387—131no—
798#387—131no—
799#387—131no—
800#387—131no—
801#387C2×D1311yescharacteristic, complemented
802#386—131no—
803#386—131no—
804#386—131no—
805#386C2×D1311yescharacteristic
806#386C2×D1311yescharacteristic
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#385—131no—
816#385—131no—
817#385C2×D1311yescharacteristic
818#385C2×D1311yescharacteristic
819#385C2×D1311yescharacteristic, complemented
820#384—131no—
821#384—131no—
822#383—131no—
823#382—131no—
824#382—131no—
825#382—131no—
826#382—131no—
827#381—131no—
828#380—131no—
829#380—131no—
830#380—131no—
831#380C2×D1311yescharacteristic, complemented
832#379—131no—
833#379—131no—
834#379—131no—
835C4×C22⋊C4—131no—
836C2×#95—131no—
837C2×#95C2×D1311yescharacteristic
838C22×C13—22no—
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13—41no—
845C22×C13—41no—
846C22×C13—41no—
847C22×C13—41no—
848C22×C13—41no—
849C22×C13—41no—
850C22×C13—41no—
851C22×C13#53914yes—
852C22×C13C22×#4111yescharacteristic
853C22×C13C2×H(5,𝔽2)11yescharacteristic
854C22×C13C2×H(5,𝔽2)11yescharacteristic
855C22×C13C2×2−1+411yescharacteristic
856C22×C13#58511yescharacteristic
857C22×C13#58511yescharacteristic
858C22×C13#58511yescharacteristic
859C2×D13—41no—
860C2×D13—41no—
861C2×D13—41no—
862C2×D13—41no—
863C2×D13—41no—
864C2×D13—41no—
865C2×D13—41no—
866C2×D13—41no—
867C2×D13—41no—
868C2×D13—41no—
869C2×D13—41no—
870C2×D13—41no—
871C2×D13—41no—
872C2×D13—41no—
873C2×D13—88no—
874C4×C13—41no—
875C4×C13—41no—
876C4×C13—41no—
877C4×C13—41no—
878C4×C13—41no—
879C4×C13—41no—
880C4×C13—41no—
881C4×C13—41no—
882C4×C13—41no—
883C4×C13—41no—
884C4×C13—41no—
885C4×C13—41no—
886C4×C13—41no—
887Dic13—22no—
888Dic13—22no—
889Dic13—22no—
890Dic13—41no—
891Dic13—41no—
892Dic13—41no—
893Dic13—41no—
894Dic13—41no—
895Dic13—41no—
896Dic13—41no—
897Dic13—41no—
898Dic13—41no—
899Dic13—41no—
900Dic13—41no—
901C25—131no—
902C22×Q8C22×D1311yescharacteristic
903C22×D4—131no—
904C22×D4—131no—
905C22×D4C22×D1311yescharacteristic
906C23×C4—131no—
907C23×C4—131no—
908C23×C4—131no—
909C23×C4C22×D1311yescharacteristic
910C23×C4C22×D1311yescharacteristic
911C23×C4C22×D1311yescharacteristic
912C23×C4C22×D1311yescharacteristic
913#126—522no—
914#126—522no—
915#125—522no—
916#123—264no—
917#123—522no—
918C22⋊Q8—42no—
919#120—522no—
920C4×D4—42no—
921#117—264no—
922#117—522no—
923C2×C4⋊C4—131no—
924C2×C4⋊C4—131no—
925C2×C4⋊C4—131no—
926C2×C4⋊C4—131no—
927C2×C4⋊C4—131no—
928C2×C4⋊C4—131no—
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—522no—
956C2×C4⋊C4C22×D1311yescharacteristic
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×C22⋊C4—131no—
965C2×C22⋊C4—131no—
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—131no—
997C2×C22⋊C4—131no—
998C2×C22⋊C4—131no—
999C2×C22⋊C4—131no—
1000C2×C22⋊C4—264no—
1001C2×C22⋊C4—522no—
1002C2×C22⋊C4—522no—
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—131no—
1018C2×C42—131no—
1019C2×C42—131no—
1020C2×C42—131no—
1021C2×C42—522no—
1022C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1060#95C22×D1311yescharacteristic
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
1071C2×C13—24no—
1072C2×C13—81no—
1073C2×C13C2×#53911yescharacteristic
1074C2×C13#349311yescharacteristic
1075C2×C13#350611yescharacteristic
1076C2×C13#353511yescharacteristic
1077C2×C13#354211yescharacteristic
1078C2×C13#354511yescharacteristic
1079C2×C13#356411yescharacteristic
1080D13—81no—
1081D13—81no—
1082C24—131no—
1083C24—131no—
1084C24—262no—
1085C24—262no—
1086C24—262no—
1087C24—521no—
1088C24—521no—
1089C24—521no—
1090C24—521no—
1091C24C23×D1311yescharacteristic
1092C24C23×D1311yescharacteristic
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—521no—
1100C2×D4—521no—
1101C2×D4—521no—
1102C2×D4—521no—
1103C2×D4—521no—
1104C2×D4—521no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—134no—
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—131no—
1130C22×C4—131no—
1131C22×C4—131no—
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×C4C23×D1311yescharacteristic
1141C22×C4C23×D1311yescharacteristic
1142C22×C4C23×D1311yescharacteristic
1143C22×C4C23×D1311yescharacteristic
1144C22×C4C23×D1311yescharacteristic
1145C22×C4C23×D1311yescharacteristic
1146C22×C4C23×D1311yescharacteristic
1147C22×C4C23×D1311yescharacteristic
1148C22×C4C23×D1311yescharacteristic
1149C22×C4C23×D1311yescharacteristic
1150C22×C4C23×D1311yescharacteristic
1151C22×C4C23×D1311yescharacteristic
1152C22×C4C23×D1311yescharacteristic
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—262no—
1162C4⋊C4—262no—
1163C4⋊C4—262no—
1164C4⋊C4—262no—
1165C4⋊C4—262no—
1166C4⋊C4—262no—
1167C4⋊C4—262no—
1168C4⋊C4—521no—
1169C4⋊C4—521no—
1170C4⋊C4—521no—
1171C4⋊C4—521no—
1172C4⋊C4—521no—
1173C4⋊C4—521no—
1174C4⋊C4—521no—
1175C4⋊C4—521no—
1176C4⋊C4—521no—
1177C4⋊C4—521no—
1178C4⋊C4—521no—
1179C4⋊C4—521no—
1180C4⋊C4—521no—
1181C4⋊C4—521no—
1182C4⋊C4—521no—
1183C4⋊C4—521no—
1184C4⋊C4—521no—
1185C4⋊C4—521no—
1186C4⋊C4—521no—
1187C4⋊C4—521no—
1188C4⋊C4—521no—
1189C4⋊C4—521no—
1190C4⋊C4—521no—
1191C4⋊C4—521no—
1192C4⋊C4—521no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—262no—
1202C22⋊C4—262no—
1203C22⋊C4—262no—
1204C22⋊C4—262no—
1205C22⋊C4—262no—
1206C22⋊C4—262no—
1207C22⋊C4—262no—
1208C22⋊C4—262no—
1209C22⋊C4—262no—
1210C22⋊C4—262no—
1211C22⋊C4—262no—
1212C22⋊C4—262no—
1213C22⋊C4—262no—
1214C22⋊C4—521no—
1215C22⋊C4—521no—
1216C22⋊C4—521no—
1217C22⋊C4—521no—
1218C22⋊C4—521no—
1219C22⋊C4—521no—
1220C22⋊C4—521no—
1221C22⋊C4—521no—
1222C22⋊C4—521no—
1223C22⋊C4—521no—
1224C22⋊C4—521no—
1225C22⋊C4—521no—
1226C22⋊C4—521no—
1227C22⋊C4—521no—
1228C22⋊C4—521no—
1229C22⋊C4—521no—
1230C22⋊C4—521no—
1231C22⋊C4—521no—
1232C22⋊C4—521no—
1233C22⋊C4—521no—
1234C22⋊C4—521no—
1235C22⋊C4—521no—
1236C22⋊C4—521no—
1237C42—41no—
1238C42—262no—
1239C42—262no—
1240C42—262no—
1241C42—262no—
1242C42—521no—
1243C42—521no—
1244C42—521no—
1245C42—521no—
1246C42—521no—
1247C42—521no—
1248C13#3679611yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—261no—
1261C23—261no—
1262C23—261no—
1263C23—261no—
1264C23—261no—
1265C23—261no—
1266C23—261no—
1267C23—261no—
1268C23—261no—
1269C23—261no—
1270C23—261no—
1271C23—261no—
1272C23—261no—
1273C23—261no—
1274C23—524no—
1275C23—524no—
1276C23—524no—
1277C23—1042no—
1278C23—1042no—
1279C23—1042no—
1280C23—1042no—
1281C23#8825112yes—
1282C23#8825412yes—
1283C23#41×D1312yes—
1284C23C24×D1311yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—1042no—
1288D4—1042no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—44no—
1329C2×C4—82no—
1330C2×C4—82no—
1331C2×C4—82no—
1332C2×C4—132no—
1333C2×C4—132no—
1334C2×C4—132no—
1335C2×C4—268no—
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—524no—
1376C2×C4—524no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—521no—
1391C22—521no—
1392C22—521no—
1393C22—521no—
1394C22—521no—
1395C22—521no—
1396C22—521no—
1397C22—521no—
1398C22—521no—
1399C22—521no—
1400C22—521no—
1401C22—521no—
1402C22—521no—
1403C22—521no—
1404C22—1048no—
1405C22#1171934314yes—
1406C22C2×#8825111yescharacteristic
1407C22C2×#8825411yescharacteristic
1408C22C2×#41×D1311yescharacteristic
1409C22#1171964811yescharacteristic
1410C22#1171964811yescharacteristic
1411C22D13×H(5,𝔽2)11yescharacteristic
1412C22#1171965011yescharacteristic
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—262no—
1427C4—262no—
1428C4—262no—
1429C4—521no—
1430C4—521no—
1431C4—521no—
1432C4—521no—
1433C4—521no—
1434C4—521no—
1435C4—521no—
1436C4—521no—
1437C4—521no—
1438C4—521no—
1439C4—521no—
1440C2—24no—
1441C2—81no—
1442C2—1041no—
1443C2—1041no—
1444C2C2×#1171934311yescharacteristic
1445C2#1312854811yescharacteristic
1446C2#1312868311yescharacteristic
1447C2#1312904011yescharacteristic
1448C2#1312913711yescharacteristic
1449C2#1312918311yescharacteristic
1450C2#1312945911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2450C2
prime radicalC2×#88191C22
hypercenter#2450D13
hypocenterC13#36796
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. #13123149C2semidirect
2. #13123142C2semidirect
3. #13122810C2semidirect
4. #13122702C2semidirect
5. #13122674C2semidirect
6. #13122662C2semidirect
7. #13122640C2semidirect
8. #13122540C2semidirect
9. #13122530C2semidirect
10. #13122518C2semidirect
11. #13122500C2semidirect
12. #13122446C2semidirect
13. #13122404C2semidirect
14. #13122386C2semidirect
15. #13121793C2semidirect
16. #13121730C2semidirect
17. #13121690C2semidirect
18. #13121356C2semidirect
19. #13120643C2semidirect
21. #13119337C2semidirect
22. #13119278C2semidirect
23. #13119109C2semidirect
24. #13119084C2semidirect
25. #13118508C2semidirect
28. #13117501C2semidirect
29. #13117455C2semidirect
30. C2×#11718330C2semidirect
31. C13×#2450C2semidirect
43. C2×#88143C22semidirect
44. C2×#88133C22semidirect
47. C13×#400C22semidirect
48. C13×#398C22semidirect
49. C13×#396C22semidirect
50. C13×#393C22semidirect
51. C13×#391C22semidirect
52. C13×#387C22semidirect
57. C13×#385C22semidirect
58. C13×#380C22semidirect
62. #11718891C22semidirect
63. #11718890C22semidirect
72. #11718871C22semidirect
73. #11718871C22semidirect
91. #11718645C22semidirect
92. #11718645C22semidirect
93. #11718643C22semidirect
94. #11718642C22semidirect
95. #11718639C22semidirect
96. #11718639C22semidirect
97. #11718639C22semidirect
98. #11718637C22semidirect
99. #11718637C22semidirect
100. #11718634C22semidirect
101. #11718633C22semidirect
102. #11718633C22semidirect
103. #11718633C22semidirect
104. #11718633C22semidirect
105. #11718633C22semidirect
119. #11718613C22semidirect
120. #11718612C22semidirect
121. #11718612C22semidirect
124. #11718610C22semidirect
127. #11718606C22semidirect
128. #11718606C22semidirect
129. #11718606C22semidirect
130. #11718606C22semidirect
131. #11718605C22semidirect
137. #11718594C22semidirect
138. #11718594C22semidirect
163. #11718320C22semidirect
164. #11718319C22semidirect
165. #11718319C22semidirect
166. #11718319C22semidirect
167. #11718318C22semidirect
168. #11718318C22semidirect
169. #11718316C22semidirect
170. #11718315C22semidirect
171. #11718314C22semidirect
172. #11718314C22semidirect
173. #11718314C22semidirect
174. #11718313C22semidirect
175. #11718313C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718311C22semidirect
180. #11718311C22semidirect
181. #11718311C22semidirect
182. #11718311C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
548. #2450D13semidirect
703. #400C2×D13semidirect
714. #398C2×D13semidirect
733. #396C2×D13semidirect
745. #393C2×D13semidirect
747. #391C2×D13semidirect
801. #387C2×D13semidirect
819. #385C2×D13semidirect
831. #380C2×D13semidirect
1248. C13#36796semidirect

Maximal subgroups

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

subgroupindex
#131231492
#131231422
#131228102
#131227022
#131226742
#131226622
#131226402
#131225402
#131225302
#131225182
#131225002
#131224462
#131224042
#131223862
#131217932
#131217302
#131216902
#131213562
#131206432
#131206132
#131193372
#131192782
#131191092
#131190842
#131185082
#131182922
#131182242
#131175012
#131174552
C2×#117183302
C13×#24502
#3679613