Finite Group Databasebeta

← #16036832

Subgroups — #16036832

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123153C211yesmaximal, characteristic, complemented
2#13123139C211yesmaximal, characteristic, complemented
3#13123131C211yesmaximal, characteristic, complemented
4#13123119C211yesmaximal, characteristic, complemented
5#13121011C211yesmaximal, characteristic, complemented
6#13120969C211yesmaximal, characteristic, complemented
7#13120898C211yesmaximal, characteristic, complemented
8#13120823C211yesmaximal, characteristic, complemented
9#13120177C211yesmaximal, characteristic, complemented
10#13120147C211yesmaximal, characteristic, complemented
11#13120113C211yesmaximal, characteristic, complemented
12#13120086C211yesmaximal, characteristic, complemented
13#13119972C211yesmaximal, characteristic, complemented
14#13119942C211yesmaximal, characteristic, complemented
15#13119911C211yesmaximal, characteristic, complemented
16#13119899C211yesmaximal, characteristic, complemented
17#13119392C211yesmaximal, characteristic, complemented
18#13118969C211yesmaximal, characteristic, complemented
19#13118590C211yesmaximal, characteristic, complemented
20#13118446C211yesmaximal, characteristic, complemented
21#13118370C211yesmaximal, characteristic, complemented
22#13118215C211yesmaximal, characteristic, complemented
23#13118157C211yesmaximal, characteristic, complemented
24#13117648C211yesmaximal, characteristic, complemented
25#13117629C211yesmaximal, characteristic, complemented
26#13117600C211yesmaximal, characteristic, complemented
27#13117600C211yesmaximal, characteristic, complemented
28#13117353C211yesmaximal, characteristic, complemented
29#13117324C211yesmaximal, characteristic, complemented
30C2×#11718327C211yesmaximal, characteristic, complemented
31C13×#2438C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×C22⋊Q8C2211yescharacteristic
35C2×C13×#117C2211yescharacteristic
36C2×#88201C2211yescharacteristic
37C2×#88201C2211yescharacteristic, complemented
38C2×#88184C2211yescharacteristic
39C2×#88184C2211yescharacteristic
40C2×#88183C2211yescharacteristic
41C22×#6103C2211yescharacteristic
42C22×#6103C2211yescharacteristic
43C22×C4×Dic13C2211yescharacteristic
44C22×C4×Dic13C2211yescharacteristic
45C2×#88152C2211yescharacteristic, complemented
46C2×#88149C2211yescharacteristic
47C2×#88149C2211yescharacteristic
48C2×#88149C2211yescharacteristic
49C2×#88148C2211yescharacteristic
50C2×#88148C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×#88136C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C13×#400C2211yescharacteristic, complemented
56C13×#398C2211yescharacteristic, complemented
57C13×#398C2211yescharacteristic, complemented
58C13×#395C2211yescharacteristic, complemented
59C13×#391C2211yescharacteristic, complemented
60C13×#389C2211yescharacteristic, complemented
61C13×#387C2211yescharacteristic, complemented
62C13×#387C2211yescharacteristic, complemented
63C13×#385C2211yescharacteristic
64C13×#385C2211yescharacteristic
65C13×#381C2211yescharacteristic
66C13×#380C2211yescharacteristic
67C2×C13×#95C2211yescharacteristic
68#11718892C2211yescharacteristic
69#11718891C2211yescharacteristic, complemented
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic
72C2×#88071C2211yescharacteristic
73#11718655C2211yescharacteristic
74#11718655C2211yescharacteristic
75#11718655C2211yescharacteristic
76#11718654C2211yescharacteristic
77#11718654C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718652C2211yescharacteristic
80#11718652C2211yescharacteristic
81#11718652C2211yescharacteristic
82#11718652C2211yescharacteristic
83#11718652C2211yescharacteristic
84#11718652C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic
86#11718651C2211yescharacteristic
87#11718651C2211yescharacteristic, complemented
88#11718651C2211yescharacteristic, complemented
89#11718651C2211yescharacteristic, complemented
90#11718651C2211yescharacteristic, complemented
91#11718651C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic, complemented
93#11718651C2211yescharacteristic, complemented
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718649C2211yescharacteristic
97#11718649C2211yescharacteristic
98#11718649C2211yescharacteristic, complemented
99#11718649C2211yescharacteristic, complemented
100#11718649C2211yescharacteristic, complemented
101#11718648C2211yescharacteristic
102#11718648C2211yescharacteristic
103#11718647C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718642C2211yescharacteristic, complemented
106#11718642C2211yescharacteristic, complemented
107#11718639C2211yescharacteristic, complemented
108#11718638C2211yescharacteristic, complemented
109#11718635C2211yescharacteristic, complemented
110#11718635C2211yescharacteristic, complemented
111#11718619C2211yescharacteristic
112#11718619C2211yescharacteristic
113#11718619C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718619C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718611C2211yescharacteristic
121#11718607C2211yescharacteristic
122C22⋊C4×Dic13C2211yescharacteristic
123#11718601C2211yescharacteristic
124#11718601C2211yescharacteristic
125#11718600C2211yescharacteristic
126#11718600C2211yescharacteristic
127C4×#6103C2211yescharacteristic, complemented
128C4×#6103C2211yescharacteristic, complemented
129C4×#6103C2211yescharacteristic, complemented
130C4×#6103C2211yescharacteristic, complemented
131#11718336C2211yescharacteristic, complemented
132#11718335C2211yescharacteristic, complemented
133#11718334C2211yescharacteristic
134#11718334C2211yescharacteristic
135#11718334C2211yescharacteristic, complemented
136#11718333C2211yescharacteristic
137#11718333C2211yescharacteristic, complemented
138#11718332C2211yescharacteristic
139#11718332C2211yescharacteristic
140#11718332C2211yescharacteristic
141#11718332C2211yescharacteristic, complemented
142#11718331C2211yescharacteristic
143#11718331C2211yescharacteristic, complemented
144#11718331C2211yescharacteristic, complemented
145#11718330C2211yescharacteristic, complemented
146#11718330C2211yescharacteristic, complemented
147#11718330C2211yescharacteristic, complemented
148#11718329C2211yescharacteristic, complemented
149#11718329C2211yescharacteristic, complemented
150#11718327C2211yescharacteristic
151#11718327C2211yescharacteristic
152#11718327C2211yescharacteristic
153#11718327C2211yescharacteristic
154#11718327C2211yescharacteristic
155#11718327C2211yescharacteristic
156#11718327C2211yescharacteristic
157#11718327C2211yescharacteristic
158#11718327C2211yescharacteristic, complemented
159#11718327C2211yescharacteristic, complemented
160#11718326C2211yescharacteristic
161#11718326C2211yescharacteristic
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic
176#11718325C2211yescharacteristic, complemented
177C13⋊#401C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718317C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, 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
194C22×C22⋊D13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C2×#6127—24no—
199C2×#6127—42no—
200C2×#6127—42no—
201C22×D52C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×C4×D13—24no—
211C22×C4×D13—42no—
212C22×C4×D13—42no—
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×C22⋊Q8—42no—
222C13×#117—42no—
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241#88201—24no—
242#88201—42no—
243#88184—42no—
244#88184—42no—
245#88183—24no—
246C2×#6103—24no—
247C2×#6103—24no—
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×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×C4×Dic13—42no—
303C2×C4×Dic13—42no—
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315#88152—42no—
316#88149—24no—
317#88149—24no—
318#88149—42no—
319#88148—24no—
320#88148—42no—
321#88136—42no—
322#88136—42no—
323#88136—42no—
324#88135—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#35053—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C23×D13—22no—
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—41no—
377C23×D13—41no—
378C23×D13C2411yescharacteristic
379C23×D13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×Q8×C13—22no—
384C2×Q8×C13—41no—
385C2×Q8×C13—41no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13#4114yes—
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C22×Dic13—22no—
419C22×Dic13—22no—
420C22×Dic13—22no—
421C22×Dic13—22no—
422C22×Dic13—22no—
423C22×Dic13—22no—
424C22×Dic13—41no—
425C22×Dic13—41no—
426C22×Dic13—41no—
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438#6127—416no—
439C2×D52—22no—
440C2×D52—22no—
441C2×D52—22no—
442C2×D52—22no—
443C2×D52—22no—
444C2×D52—22no—
445C2×D52—22no—
446C2×D52—22no—
447C2×D52—22no—
448C2×D52—41no—
449C2×D52—41no—
450C2×D52—41no—
451C2×D52—41no—
452C2×D52—41no—
453C2×D52—41no—
454C2×D52—41no—
455C2×D52—41no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52—41no—
459C2×D52—41no—
460C2×D52—41no—
461C2×D52—41no—
462C2×D52—41no—
463C2×D52—41no—
464C2×D52—41no—
465C2×D52—41no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—416no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13#4114yescomplemented
488C2×Dic26—22no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C4⋊C4—41no—
498C13×C4⋊C4—41no—
499C13×C4⋊C4—41no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4—41no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C42×C13—41no—
507C42×C13—41no—
508C22⋊Dic13—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550#6103—41no—
551#6103—41no—
552#6103—41no—
553#6103#4114yescomplemented
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556C4⋊Dic13—41no—
557C4⋊Dic13—41no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
561#6101—22no—
562#6101—41no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438D1311yescharacteristic, complemented
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13C2×#4112yes—
610C23×C13H(5,𝔽2)12yes—
611C23×C13H(5,𝔽2)12yes—
612C23×C13C2511yescharacteristic
613C22×D13—28no—
614C22×D13—21no—
615C22×D13—21no—
616C22×D13—21no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—44no—
653C22×D13C2×#4112yes—
654C22×D13C2×#4112yes—
655Q8×C13—82no—
656C2×C4×C13—28no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—44no—
696C2×C4×C13—44no—
697C2×C4×C13C2×#4112yes—
698C2×C4×C13C2×#4112yes—
699C2×C4×C13C2×#4112yes—
700C2×C4×C13C2×#4112yes—
701C22⋊D13—44no—
702C22⋊D13—44no—
703C22⋊D13—44no—
704C2×Dic13—28no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—44no—
736C2×Dic13—44no—
737C2×Dic13C2×#4112yes—
738C2×Dic13C2×#4112yes—
739C2×Dic13H(5,𝔽2)12yes—
740D52—44no—
741D52—82no—
742D52—82no—
743D52—82no—
744D52—82no—
745D52—82no—
746D52—82no—
747D52—82no—
748D52—82no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—82no—
756Dic26—44no—
757C22×#41—131no—
758C24×C4—131no—
759C2×#126—131no—
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123—131no—
765C2×C22⋊Q8C2×D1311yescharacteristic
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×#117C2×D1311yescharacteristic
776C22×C22⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C42—131no—
779C22×C42—131no—
780#401—131no—
781#400—131no—
782#400—131no—
783#400C2×D1311yescharacteristic, complemented
784#398C2×D1311yescharacteristic, complemented
785#398C2×D1311yescharacteristic, complemented
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396—131no—
793#396—131no—
794#395—131no—
795#395C2×D1311yescharacteristic, complemented
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391—131no—
815#391C2×D1311yescharacteristic, complemented
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390—131no—
823#389C2×D1311yescharacteristic, complemented
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387C2×D1311yescharacteristic, complemented
849#387C2×D1311yescharacteristic, complemented
850#386—131no—
851#386—131no—
852#386—131no—
853#386—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385C2×D1311yescharacteristic
881#385C2×D1311yescharacteristic
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381C2×D1311yescharacteristic
889#380—131no—
890#380—131no—
891#380C2×D1311yescharacteristic
892#379—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C2×#95—131no—
911C2×#95C2×D1311yescharacteristic
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13#53814yes—
919C22×C13C22×#4111yescharacteristic
920C22×C13C22×#4111yescharacteristic
921C22×C13C22×#4111yescharacteristic
922C22×C13C2×H(5,𝔽2)11yescharacteristic
923C22×C13C2×H(5,𝔽2)11yescharacteristic
924C22×C13C2×H(5,𝔽2)11yescharacteristic
925C22×C13#58511yescharacteristic
926C2×D13—22no—
927C2×D13—22no—
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—416no—
933C2×D13—41no—
934C2×D13—41no—
935C2×D13—41no—
936C2×D13—41no—
937C2×D13—41no—
938C2×D13—41no—
939C2×D13—41no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—22no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976Dic13—22no—
977Dic13—22no—
978Dic13—22no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25—131no—
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8C22×D1311yescharacteristic
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4—131no—
1004C22×D4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—264no—
1016C23×C4—522no—
1017C23×C4—522no—
1018C23×C4C22×D1311yescharacteristic
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—264no—
1023#124—522no—
1024#123—264no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—42no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—522no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—42no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4C22×D1311yescharacteristic
1048C2×C4⋊C4C22×D1311yescharacteristic
1049C2×C4⋊C4C22×D1311yescharacteristic
1050C2×C4⋊C4C22×D1311yescharacteristic
1051C2×C4⋊C4C22×D1311yescharacteristic
1052C2×C4⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—264no—
1105C2×C22⋊C4—264no—
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—522no—
1122C2×C42—522no—
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95C22×D1311yescharacteristic
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—24no—
1170C2×C13#344411yescharacteristic
1171C2×C13C2×#53811yescharacteristic
1172C2×C13#346011yescharacteristic
1173C2×C13#349011yescharacteristic
1174C2×C13#349411yescharacteristic
1175C2×C13#351311yescharacteristic
1176C2×C13#351911yescharacteristic
1177D13—42no—
1178D13—42no—
1179D13—81no—
1180D13—81no—
1181D13—81no—
1182C24—131no—
1183C24—131no—
1184C24—131no—
1185C24—131no—
1186C24—131no—
1187C24—262no—
1188C24—262no—
1189C24—262no—
1190C24—262no—
1191C24—262no—
1192C24—521no—
1193C24—521no—
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—262no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—134no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
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—521no—
1273C22×C4—521no—
1274C22×C4—521no—
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—5216no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4#613114yes—
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—262no—
1315C4⋊C4—262no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—134no—
1328C22⋊C4—262no—
1329C22⋊C4—262no—
1330C22⋊C4—262no—
1331C22⋊C4—262no—
1332C22⋊C4—262no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C42—41no—
1374C42—41no—
1375C42—262no—
1376C42—262no—
1377C42—262no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—132no—
1392C23—132no—
1393C23—268no—
1394C23—261no—
1395C23—261no—
1396C23—261no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
1401C23—261no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23#8825112yes—
1434C23C2×#613112yes—
1435C23#8825612yes—
1436C23C24×D1311yescharacteristic
1437Q8—82no—
1438Q8—524no—
1439D4—524no—
1440D4—524no—
1441D4—524no—
1442D4—524no—
1443D4—1042no—
1444D4—1042no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—132no—
1493C2×C4—132no—
1494C2×C4—132no—
1495C2×C4—268no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—1042no—
1535C2×C4C2×#613112yes—
1536C2×C4C2×#613112yes—
1537C2×C4#41×D1312yes—
1538C2×C4#41×D1312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—262no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—5216no—
1552C22—521no—
1553C22—521no—
1554C22—521no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171934914yes—
1582C22C2×#8825111yescharacteristic
1583C22C22×#613111yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22C2×#41×D1311yescharacteristic
1586C22C2×#8825611yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22#1171965211yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—262no—
1604C4—262no—
1605C4—262no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—24no—
1615C2—522no—
1616C2—522no—
1617C2—1041no—
1618C2—1041no—
1619C2—1041no—
1620C2#1312813311yescharacteristic
1621C2C2×#1171934911yescharacteristic
1622C2#1312825911yescharacteristic
1623C2#1312852011yescharacteristic
1624C2#1312856011yescharacteristic
1625C2#1312878111yescharacteristic
1626C2#1312885711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2438C2
hypercenter#2438D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. #13123153C2semidirect
2. #13123139C2semidirect
3. #13123131C2semidirect
4. #13123119C2semidirect
5. #13121011C2semidirect
6. #13120969C2semidirect
7. #13120898C2semidirect
8. #13120823C2semidirect
9. #13120177C2semidirect
10. #13120147C2semidirect
11. #13120113C2semidirect
12. #13120086C2semidirect
13. #13119972C2semidirect
14. #13119942C2semidirect
15. #13119911C2semidirect
16. #13119899C2semidirect
17. #13119392C2semidirect
18. #13118969C2semidirect
19. #13118590C2semidirect
20. #13118446C2semidirect
21. #13118370C2semidirect
22. #13118215C2semidirect
23. #13118157C2semidirect
24. #13117648C2semidirect
25. #13117629C2semidirect
26. #13117600C2semidirect
27. #13117600C2semidirect
28. #13117353C2semidirect
29. #13117324C2semidirect
30. C2×#11718327C2semidirect
31. C13×#2438C2semidirect
37. C2×#88201C22semidirect
45. C2×#88152C22semidirect
55. C13×#400C22semidirect
56. C13×#398C22semidirect
57. C13×#398C22semidirect
58. C13×#395C22semidirect
59. C13×#391C22semidirect
60. C13×#389C22semidirect
61. C13×#387C22semidirect
62. C13×#387C22semidirect
69. #11718891C22semidirect
77. #11718654C22semidirect
78. #11718654C22semidirect
84. #11718652C22semidirect
87. #11718651C22semidirect
88. #11718651C22semidirect
89. #11718651C22semidirect
90. #11718651C22semidirect
91. #11718651C22semidirect
92. #11718651C22semidirect
93. #11718651C22semidirect
98. #11718649C22semidirect
99. #11718649C22semidirect
100. #11718649C22semidirect
103. #11718647C22semidirect
104. #11718642C22semidirect
105. #11718642C22semidirect
106. #11718642C22semidirect
107. #11718639C22semidirect
108. #11718638C22semidirect
109. #11718635C22semidirect
110. #11718635C22semidirect
127. C4×#6103C22semidirect
128. C4×#6103C22semidirect
129. C4×#6103C22semidirect
130. C4×#6103C22semidirect
131. #11718336C22semidirect
132. #11718335C22semidirect
135. #11718334C22semidirect
137. #11718333C22semidirect
141. #11718332C22semidirect
143. #11718331C22semidirect
144. #11718331C22semidirect
145. #11718330C22semidirect
146. #11718330C22semidirect
147. #11718330C22semidirect
148. #11718329C22semidirect
149. #11718329C22semidirect
158. #11718327C22semidirect
159. #11718327C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
176. #11718325C22semidirect
177. C13⋊#401C22semidirect
178. #11718321C22semidirect
179. #11718317C22semidirect
180. #11718315C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718310C22semidirect
186. #11718310C22semidirect
487. C2×C4×D13#41semidirect
553. #6103#41semidirect
593. #2438D13semidirect
783. #400C2×D13semidirect
784. #398C2×D13semidirect
785. #398C2×D13semidirect
795. #395C2×D13semidirect
815. #391C2×D13semidirect
823. #389C2×D13semidirect
848. #387C2×D13semidirect
849. #387C2×D13semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231532
#131231392
#131231312
#131231192
#131210112
#131209692
#131208982
#131208232
#131201772
#131201472
#131201132
#131200862
#131199722
#131199422
#131199112
#131198992
#131193922
#131189692
#131185902
#131184462
#131183702
#131182152
#131181572
#131176482
#131176292
#131176002
#131173532
#131173242
C2×#117183272
C13×#24382
#3505313