Finite Group Databasebeta

← #16035719

Subgroups — #16035719

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123167C211yesmaximal, characteristic, complemented
2#13123153C211yesmaximal, characteristic, complemented
3#13123133C211yesmaximal, characteristic, complemented
4#13120895C211yesmaximal, characteristic, complemented
5#13120843C211yesmaximal, characteristic, complemented
6#13120830C211yesmaximal, characteristic, complemented
7#13120820C211yesmaximal, characteristic, complemented
8#13119500C211yesmaximal, characteristic, complemented
9#13119491C211yesmaximal, characteristic, complemented
10#13119400C211yesmaximal, characteristic, complemented
11#13119393C211yesmaximal, characteristic, complemented
12#13119344C211yesmaximal, characteristic, complemented
13#13119158C211yesmaximal, characteristic, complemented
14#13119088C211yesmaximal, characteristic, complemented
15#13118960C211yesmaximal, characteristic, complemented
16#13118885C211yesmaximal, characteristic, complemented
17#13118779C211yesmaximal, characteristic, complemented
18#13118590C211yesmaximal, characteristic, complemented
19#13118500C211yesmaximal, characteristic, complemented
20#13118383C211yesmaximal, characteristic, complemented
21#13118234C211yesmaximal, characteristic, complemented
22#13118209C211yesmaximal, characteristic
23#13118160C211yesmaximal, characteristic, complemented
24#13117565C211yesmaximal, characteristic, complemented
25#13117489C211yesmaximal, characteristic, complemented
26#13117468C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28#13117337C211yesmaximal, characteristic, complemented
29D13×#386C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C13×#2853C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C22×C42×C13C2211yescharacteristic, complemented
36C2×#88193C2211yescharacteristic
37C2×#88184C2211yescharacteristic
38C2×#88183C2211yescharacteristic
39C2×#88183C2211yescharacteristic, complemented
40C22×#6103C2211yescharacteristic
41C22×#6103C2211yescharacteristic
42C22×C4×Dic13C2211yescharacteristic, complemented
43C2×#88152C2211yescharacteristic, complemented
44C2×#88151C2211yescharacteristic
45C2×#88147C2211yescharacteristic
46C2×#88147C2211yescharacteristic, complemented
47C2×#88139C2211yescharacteristic, complemented
48C2×#88136C2211yescharacteristic
49C2×#88136C2211yescharacteristic
50C2×#88135C2211yescharacteristic, complemented
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×#88132C2211yescharacteristic, complemented
55C13×#388C2211yescharacteristic, complemented
56C13×#388C2211yescharacteristic, complemented
57C13×#388C2211yescharacteristic, complemented
58C13×#388C2211yescharacteristic, complemented
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#387C2211yescharacteristic, complemented
62C13×#387C2211yescharacteristic, complemented
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#385C2211yescharacteristic, complemented
66C13×#385C2211yescharacteristic, complemented
67C13×#381C2211yescharacteristic, complemented
68#11718881C2211yescharacteristic
69#11718881C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic, complemented
72#11718873C2211yescharacteristic, complemented
73C2×#88071C2211yescharacteristic, complemented
74C2×#88071C2211yescharacteristic, complemented
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718652C2211yescharacteristic
80#11718652C2211yescharacteristic
81#11718652C2211yescharacteristic, complemented
82#11718651C2211yescharacteristic, complemented
83#11718651C2211yescharacteristic, complemented
84#11718650C2211yescharacteristic
85#11718650C2211yescharacteristic
86#11718650C2211yescharacteristic
87#11718650C2211yescharacteristic, complemented
88#11718648C2211yescharacteristic
89#11718648C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718641C2211yescharacteristic, complemented
93#11718639C2211yescharacteristic, complemented
94#11718634C2211yescharacteristic, complemented
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic, complemented
97#11718621C2211yescharacteristic
98#11718620C2211yescharacteristic
99#11718620C2211yescharacteristic
100#11718619C2211yescharacteristic
101#11718619C2211yescharacteristic
102#11718619C2211yescharacteristic
103#11718619C2211yescharacteristic, complemented
104#11718618C2211yescharacteristic, complemented
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic, complemented
108#11718616C2211yescharacteristic
109#11718616C2211yescharacteristic
110#11718616C2211yescharacteristic
111#11718616C2211yescharacteristic
112#11718614C2211yescharacteristic, complemented
113#11718613C2211yescharacteristic, complemented
114#11718612C2211yescharacteristic, complemented
115#11718612C2211yescharacteristic, complemented
116#11718611C2211yescharacteristic, complemented
117#11718609C2211yescharacteristic, complemented
118#11718607C2211yescharacteristic, complemented
119#11718606C2211yescharacteristic, complemented
120#11718605C2211yescharacteristic, complemented
121#11718605C2211yescharacteristic, complemented
122C22⋊C4×Dic13C2211yescharacteristic, complemented
123#11718601C2211yescharacteristic, complemented
124#11718601C2211yescharacteristic, complemented
125#11718601C2211yescharacteristic, complemented
126#11718601C2211yescharacteristic, complemented
127#11718600C2211yescharacteristic, complemented
128#11718600C2211yescharacteristic, complemented
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic, complemented
134C4×#6103C2211yescharacteristic, complemented
135C4×#6103C2211yescharacteristic, complemented
136C4×#6103C2211yescharacteristic, complemented
137#11718589C2211yescharacteristic, complemented
138#11718589C2211yescharacteristic, complemented
139#11718338C2211yescharacteristic, complemented
140#11718336C2211yescharacteristic, complemented
141#11718336C2211yescharacteristic, complemented
142#11718336C2211yescharacteristic, complemented
143#11718336C2211yescharacteristic, complemented
144#11718334C2211yescharacteristic, complemented
145#11718334C2211yescharacteristic, complemented
146#11718333C2211yescharacteristic
147#11718333C2211yescharacteristic, complemented
148#11718333C2211yescharacteristic, complemented
149#11718332C2211yescharacteristic
150#11718331C2211yescharacteristic, complemented
151#11718331C2211yescharacteristic, complemented
152#11718331C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718330C2211yescharacteristic, complemented
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic, complemented
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718325C2211yescharacteristic, complemented
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174C13⋊#401C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718312C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C2×D4×D13—24no—
201C2×D4×D13—42no—
202C2×D4×D13—42no—
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—42no—
209C22×C4×D13—42no—
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C13×#123—42no—
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C42×C13—42no—
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247#88193—42no—
248#88184—42no—
249#88183—42no—
250#88183—42no—
251C2×#6103—24no—
252C2×#6103—24no—
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×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×C4×Dic13—42no—
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313#88152—42no—
314#88151—24no—
315#88147—24no—
316#88147—42no—
317#88139—42no—
318#88136—24no—
319#88136—24no—
320#88135—42no—
321C22⋊C4×D13—24no—
322C22⋊C4×D13—42no—
323C22⋊C4×D13—42no—
324#88132—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
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34998—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—22no—
379C23×D13—41no—
380C23×D13—41no—
381C23×D13—41no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13#4114yes—
386C23×D13C2411yescharacteristic
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—41no—
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448D4×D13—416no—
449C2×D52—22no—
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—41no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52—41no—
459C2×D52—41no—
460C2×D52—41no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—416no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13#4114yes—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
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—22no—
531#6103—22no—
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#4114yes—
551C4⋊Dic13—22no—
552C4⋊Dic13—22no—
553C4⋊Dic13—41no—
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556C4⋊Dic13—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567C4×Dic13—22no—
568C4×Dic13—22no—
569C4×Dic13—22no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2854—131no—
575#2853D1311yescharacteristic, complemented
576#2852—131no—
577#2850—131no—
578#2653—131no—
579#2649—131no—
580#2648—131no—
581#2648—131no—
582#2518—131no—
583#2518—131no—
584#2510—131no—
585#2510—131no—
586#2505—131no—
587#2488—131no—
588#2480—131no—
589#2472—131no—
590#2467—131no—
591#2459—131no—
592#2444—131no—
593#2437—131no—
594#2425—131no—
595#2412—131no—
596#2410—131no—
597#2405—131no—
598#2329—131no—
599#2321—131no—
600#2318—131no—
601#2312—131no—
602C4×#120—131no—
603C2×#386—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13C2×#4112yes—
617C23×C13H(5,𝔽2)12yes—
618C23×C13H(5,𝔽2)12yes—
619C23×C13C2511yescharacteristic
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—28no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—28no—
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—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—44no—
653C22×D13—44no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13—82no—
657C22×D13—82no—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660C22×D13C2×#4112yes—
661C22×D13C2×#4112yes—
662D4×C13—44no—
663C2×C4×C13—28no—
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—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—44no—
701C2×C4×C13—44no—
702C2×C4×C13C2×#4112yes—
703C2×C4×C13C2×#4112yes—
704C2×C4×C13H(5,𝔽2)12yes—
705C22⋊D13—44no—
706C22⋊D13—44no—
707C22⋊D13—44no—
708C22⋊D13—82no—
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—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—44no—
744C2×Dic13—44no—
745C2×Dic13—44no—
746C2×Dic13C2×#4112yes—
747C2×Dic13C2×#4112yes—
748D52—44no—
749D52—44no—
750D52—44no—
751D52—82no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—82no—
758C4×D13—82no—
759C4×D13—82no—
760Dic26—82no—
761C23×D4—131no—
762C24×C4—131no—
763C2×#126—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123—131no—
767C2×#123C2×D1311yescharacteristic
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#121—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4—131no—
780C22×C22⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C42—131no—
783C22×C42C2×D1311yescharacteristic, complemented
784#401—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400—131no—
789#399—131no—
790#398—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397—131no—
798#397—131no—
799#396—131no—
800#396—131no—
801#396—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#394—131no—
808#394—131no—
809#394—131no—
810#394—131no—
811#394—131no—
812#393—131no—
813#393—131no—
814#392—131no—
815#392—131no—
816#391—131no—
817#391—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#389—131no—
822#389—131no—
823#389—131no—
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#388C2×D1311yescharacteristic, complemented
842#388C2×D1311yescharacteristic, complemented
843#388C2×D1311yescharacteristic, complemented
844#388C2×D1311yescharacteristic, complemented
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387C2×D1311yescharacteristic, complemented
851#387C2×D1311yescharacteristic, complemented
852#387C2×D1311yescharacteristic, complemented
853#387C2×D1311yescharacteristic, complemented
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#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385C2×D1311yescharacteristic, complemented
885#385C2×D1311yescharacteristic, complemented
886#383—131no—
887#383—131no—
888#382—131no—
889#382—131no—
890#381—131no—
891#381C2×D1311yescharacteristic, complemented
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380—131no—
897#379—131no—
898#379—131no—
899#379—131no—
900#379—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—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13#53814yes—
930C22×C13C22×#4111yescharacteristic
931C22×C13C22×#4111yescharacteristic
932C22×C13C22×#4111yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×H(5,𝔽2)11yescharacteristic
935C22×C13C2×H(5,𝔽2)11yescharacteristic
936C22×C13#58511yescharacteristic
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—416no—
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—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—88no—
966C2×D13#52914yes—
967C4×C13—22no—
968C4×C13—22no—
969C4×C13—22no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978C4×C13—41no—
979C4×C13—41no—
980Dic13—22no—
981Dic13—22no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992C25—131no—
993C25—131no—
994C22×Q8—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—264no—
1004C22×D4—522no—
1005C22×D4—522no—
1006C22×D4C22×D1311yescharacteristic
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—131no—
1016C23×C4—131no—
1017C23×C4—131no—
1018C23×C4—264no—
1019C23×C4—522no—
1020C23×C4—522no—
1021C23×C4C22×D1311yescharacteristic
1022C23×C4C22×D1311yescharacteristic
1023C23×C4C22×D1311yescharacteristic
1024#126—522no—
1025#124—522no—
1026#123—42no—
1027#123—522no—
1028#123—522no—
1029C22⋊Q8—264no—
1030C22⋊Q8—522no—
1031#121—522no—
1032#121—522no—
1033#120—264no—
1034#120—264no—
1035C4×D4—264no—
1036C4×D4—522no—
1037C4×D4—522no—
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⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
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—264no—
1104C2×C22⋊C4—264no—
1105C2×C22⋊C4—264no—
1106C2×C22⋊C4—522no—
1107C2×C22⋊C4—522no—
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—42no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—522no—
1126C2×C42C22×D1311yescharacteristic
1127C2×C42C22×D1311yescharacteristic
1128C2×C42C22×D1311yescharacteristic
1129C2×C42C22×D1311yescharacteristic
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#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169#95C22×D1311yescharacteristic
1170#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174C2×C13—24no—
1175C2×C13—81no—
1176C2×C13C2×#52911yescharacteristic
1177C2×C13C2×#53811yescharacteristic
1178C2×C13#345911yescharacteristic
1179C2×C13#349011yescharacteristic
1180C2×C13#349411yescharacteristic
1181C2×C13#351311yescharacteristic
1182C2×C13#351911yescharacteristic
1183D13—24no—
1184D13—42no—
1185D13—81no—
1186D13—81no—
1187C24—131no—
1188C24—131no—
1189C24—134no—
1190C24—131no—
1191C24—131no—
1192C24—262no—
1193C24—262no—
1194C24—262no—
1195C24—262no—
1196C24—262no—
1197C24—262no—
1198C24—262no—
1199C24—521no—
1200C24—521no—
1201C24—521no—
1202C24—521no—
1203C24—521no—
1204C24—521no—
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
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—5216no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
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—131no—
1259C22×C4—131no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—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—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—5216no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4—521no—
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
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—134no—
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—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
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—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—262no—
1385C42—262no—
1386C42—262no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42—521no—
1391C13#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—132no—
1404C23—132no—
1405C23—132no—
1406C23—132no—
1407C23—268no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—268no—
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—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23—261no—
1432C23—261no—
1433C23—524no—
1434C23—524no—
1435C23—524no—
1436C23—524no—
1437C23—524no—
1438C23—524no—
1439C23—524no—
1440C23—524no—
1441C23—1042no—
1442C23—1042no—
1443C23—1042no—
1444C23—1042no—
1445C23#8825112yes—
1446C23#41×D1312yes—
1447C23#8825612yes—
1448C23C24×D1311yescharacteristic
1449Q8—1042no—
1450D4—44no—
1451D4—524no—
1452D4—524no—
1453D4—524no—
1454D4—524no—
1455D4—524no—
1456D4—524no—
1457D4—1042no—
1458D4—1042no—
1459C2×C4—28no—
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—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—132no—
1499C2×C4—132no—
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—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—524no—
1535C2×C4—524no—
1536C2×C4—524no—
1537C2×C4—524no—
1538C2×C4—524no—
1539C2×C4—524no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4—1042no—
1543C2×C4—1042no—
1544C2×C4—1042no—
1545C2×C4#41×D1312yes—
1546C2×C4#41×D1312yes—
1547C2×C4#8825612yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—134no—
1562C22—262no—
1563C22—262no—
1564C22—262no—
1565C22—262no—
1566C22—262no—
1567C22—262no—
1568C22—262no—
1569C22—262no—
1570C22—262no—
1571C22—5216no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22—521no—
1582C22—521no—
1583C22—521no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22—1048no—
1591C22#1171936214yes—
1592C22C2×#8825111yescharacteristic
1593C22C2×#41×D1311yescharacteristic
1594C22C2×#41×D1311yescharacteristic
1595C22C2×#41×D1311yescharacteristic
1596C22C2×#8825611yescharacteristic
1597C22C2×#8825611yescharacteristic
1598C22#1171964811yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—262no—
1613C4—262no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C2—24no—
1625C2—81no—
1626C2—264no—
1627C2—522no—
1628C2—1041no—
1629C2—1041no—
1630C2D13×#52911yescharacteristic
1631C2C2×#1171936211yescharacteristic
1632C2#1312824611yescharacteristic
1633C2#1312851911yescharacteristic
1634C2#1312855911yescharacteristic
1635C2#1312876211yescharacteristic
1636C2#1312887011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2853C2
prime radical#13118209C2
hypercenter#2853D13
hypocenterC13#34998
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2853

Complements

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

NH ≅ G/Ntype
1. #13123167C2semidirect
2. #13123153C2semidirect
3. #13123133C2semidirect
4. #13120895C2semidirect
5. #13120843C2semidirect
6. #13120830C2semidirect
7. #13120820C2semidirect
8. #13119500C2semidirect
9. #13119491C2semidirect
10. #13119400C2semidirect
11. #13119393C2semidirect
12. #13119344C2semidirect
13. #13119158C2semidirect
14. #13119088C2semidirect
15. #13118960C2semidirect
16. #13118885C2semidirect
17. #13118779C2semidirect
18. #13118590C2semidirect
19. #13118500C2semidirect
20. #13118383C2semidirect
21. #13118234C2semidirect
23. #13118160C2semidirect
24. #13117565C2semidirect
25. #13117489C2semidirect
26. #13117468C2semidirect
27. #13117430C2semidirect
28. #13117337C2semidirect
29. D13×#386C2semidirect
30. C2×C4×#6103C2semidirect
31. C13×#2853C2semidirect
35. C22×C42×C13C22semidirect
39. C2×#88183C22semidirect
42. C22×C4×Dic13C22semidirect
43. C2×#88152C22semidirect
46. C2×#88147C22semidirect
47. C2×#88139C22semidirect
50. C2×#88135C22semidirect
54. C2×#88132C22semidirect
55. C13×#388C22semidirect
56. C13×#388C22semidirect
57. C13×#388C22semidirect
58. C13×#388C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
61. C13×#387C22semidirect
62. C13×#387C22semidirect
65. C13×#385C22semidirect
66. C13×#385C22semidirect
67. C13×#381C22semidirect
71. #11718874C22semidirect
72. #11718873C22semidirect
73. C2×#88071C22semidirect
74. C2×#88071C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
77. #11718654C22semidirect
78. #11718654C22semidirect
81. #11718652C22semidirect
82. #11718651C22semidirect
83. #11718651C22semidirect
87. #11718650C22semidirect
89. #11718648C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718641C22semidirect
93. #11718639C22semidirect
94. #11718634C22semidirect
96. #11718622C22semidirect
103. #11718619C22semidirect
104. #11718618C22semidirect
107. #11718617C22semidirect
112. #11718614C22semidirect
113. #11718613C22semidirect
114. #11718612C22semidirect
115. #11718612C22semidirect
116. #11718611C22semidirect
117. #11718609C22semidirect
118. #11718607C22semidirect
119. #11718606C22semidirect
120. #11718605C22semidirect
121. #11718605C22semidirect
122. C22⋊C4×Dic13C22semidirect
123. #11718601C22semidirect
124. #11718601C22semidirect
125. #11718601C22semidirect
126. #11718601C22semidirect
127. #11718600C22semidirect
128. #11718600C22semidirect
133. C4×#6103C22semidirect
134. C4×#6103C22semidirect
135. C4×#6103C22semidirect
136. C4×#6103C22semidirect
137. #11718589C22semidirect
138. #11718589C22semidirect
139. #11718338C22semidirect
140. #11718336C22semidirect
141. #11718336C22semidirect
142. #11718336C22semidirect
143. #11718336C22semidirect
144. #11718334C22semidirect
145. #11718334C22semidirect
147. #11718333C22semidirect
148. #11718333C22semidirect
150. #11718331C22semidirect
151. #11718331C22semidirect
152. #11718331C22semidirect
153. #11718330C22semidirect
154. #11718330C22semidirect
155. #11718330C22semidirect
162. #11718327C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718325C22semidirect
174. C13⋊#401C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718321C22semidirect
178. #11718319C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718312C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718311C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
575. #2853D13semidirect
783. C22×C42C2×D13semidirect
841. #388C2×D13semidirect
842. #388C2×D13semidirect
843. #388C2×D13semidirect
844. #388C2×D13semidirect
850. #387C2×D13semidirect
851. #387C2×D13semidirect
852. #387C2×D13semidirect
853. #387C2×D13semidirect
884. #385C2×D13semidirect
885. #385C2×D13semidirect
891. #381C2×D13semidirect
1391. C13#34998semidirect

Maximal subgroups

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

subgroupindex
#131231672
#131231532
#131231332
#131208952
#131208432
#131208302
#131208202
#131195002
#131194912
#131194002
#131193932
#131193442
#131191582
#131190882
#131189602
#131188852
#131187792
#131185902
#131185002
#131183832
#131182342
#131182092
#131181602
#131175652
#131174892
#131174682
#131174302
#131173372
D13×#3862
C2×C4×#61032
C13×#28532
#3499813