Finite Group Databasebeta

← #16070801

Subgroups — #16070801

Order 3328.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123120C211yesmaximal, characteristic, complemented
2#13123119C211yesmaximal, characteristic, complemented
3#13122699C211yesmaximal, characteristic, complemented
4#13122498C211yesmaximal, characteristic, complemented
5#13122463C211yesmaximal, characteristic, complemented
6#13122452C211yesmaximal, characteristic, complemented
7#13122449C211yesmaximal, characteristic, complemented
8#13122164C211yesmaximal, characteristic, complemented
9#13122108C211yesmaximal, characteristic, complemented
10#13122052C211yesmaximal, characteristic, complemented
11#13121951C211yesmaximal, characteristic, complemented
12#13121831C211yesmaximal, characteristic, complemented
13#13121628C211yesmaximal, characteristic, complemented
14#13121483C211yesmaximal, characteristic, complemented
15#13121391C211yesmaximal, characteristic, complemented
16#13121279C211yesmaximal, characteristic, complemented
17#13121133C211yesmaximal, characteristic, complemented
18#13120549C211yesmaximal, characteristic, complemented
19#13120549C211yesmaximal, characteristic, complemented
20#13119222C211yesmaximal, characteristic, complemented
21#13119169C211yesmaximal, characteristic, complemented
22#13119078C211yesmaximal, characteristic, complemented
23#13118965C211yesmaximal, characteristic, complemented
24#13118394C211yesmaximal, characteristic, complemented
25#13118367C211yesmaximal, characteristic, complemented
26#13118314C211yesmaximal, characteristic, complemented
27#13118303C211yesmaximal, characteristic, complemented
28#13117498C211yesmaximal, characteristic, complemented
29#13117489C211yesmaximal, characteristic, complemented
30D13×#386C211yesmaximal, characteristic, complemented
31C13×#2702C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic, complemented
35C2×C13×C22⋊Q8C2211yescharacteristic, complemented
36C2×#88201C2211yescharacteristic, complemented
37C2×#88200C2211yescharacteristic
38C2×#88200C2211yescharacteristic, complemented
39C2×#88184C2211yescharacteristic, complemented
40C2×#88149C2211yescharacteristic
41C2×#88149C2211yescharacteristic, complemented
42C2×#88149C2211yescharacteristic, complemented
43C2×#88148C2211yescharacteristic
44C2×#88148C2211yescharacteristic
45C2×#88147C2211yescharacteristic
46C2×#88137C2211yescharacteristic, complemented
47C2×#88136C2211yescharacteristic
48C2×#88136C2211yescharacteristic
49C2×#88136C2211yescharacteristic
50C2×#88136C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C4×D52C2211yescharacteristic
55C13×#400C2211yescharacteristic, complemented
56C13×#398C2211yescharacteristic, complemented
57C13×#396C2211yescharacteristic, complemented
58C13×#394C2211yescharacteristic
59C13×#394C2211yescharacteristic
60C13×#393C2211yescharacteristic, complemented
61C13×#391C2211yescharacteristic, complemented
62C13×#389C2211yescharacteristic, complemented
63C13×#388C2211yescharacteristic, complemented
64C13×#388C2211yescharacteristic, complemented
65C13×#388C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic
67C13×#380C2211yescharacteristic, complemented
68#11718892C2211yescharacteristic, complemented
69#11718884C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718873C2211yescharacteristic, complemented
74#11718655C2211yescharacteristic, complemented
75#11718655C2211yescharacteristic, complemented
76#11718654C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718652C2211yescharacteristic
80#11718652C2211yescharacteristic
81#11718652C2211yescharacteristic, complemented
82#11718652C2211yescharacteristic, complemented
83#11718652C2211yescharacteristic, complemented
84#11718651C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic, complemented
92#11718650C2211yescharacteristic, complemented
93#11718649C2211yescharacteristic, complemented
94#11718648C2211yescharacteristic
95#11718648C2211yescharacteristic
96#11718648C2211yescharacteristic, complemented
97#11718648C2211yescharacteristic, complemented
98#11718645C2211yescharacteristic, complemented
99#11718643C2211yescharacteristic, complemented
100#11718643C2211yescharacteristic, complemented
101#11718642C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718622C2211yescharacteristic, complemented
105#11718622C2211yescharacteristic, complemented
106#11718621C2211yescharacteristic
107#11718621C2211yescharacteristic
108#11718621C2211yescharacteristic
109#11718621C2211yescharacteristic
110#11718621C2211yescharacteristic, complemented
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic, complemented
117#11718619C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic, complemented
120#11718618C2211yescharacteristic, complemented
121#11718618C2211yescharacteristic, complemented
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic, complemented
125#11718617C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718616C2211yescharacteristic
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718616C2211yescharacteristic
131#11718614C2211yescharacteristic, complemented
132#11718613C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718612C2211yescharacteristic, complemented
137#11718607C2211yescharacteristic, complemented
138#11718607C2211yescharacteristic, complemented
139#11718606C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic, complemented
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718601C2211yescharacteristic, complemented
144#11718601C2211yescharacteristic, complemented
145#11718600C2211yescharacteristic, complemented
146C4×#6103C2211yescharacteristic
147#11718338C2211yescharacteristic, complemented
148#11718336C2211yescharacteristic, complemented
149#11718336C2211yescharacteristic, complemented
150#11718335C2211yescharacteristic, complemented
151#11718333C2211yescharacteristic, complemented
152#11718333C2211yescharacteristic, complemented
153#11718332C2211yescharacteristic
154#11718332C2211yescharacteristic
155#11718331C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic
160#11718328C2211yescharacteristic, complemented
161#11718327C2211yescharacteristic
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic, complemented
170#11718326C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic
176#11718325C2211yescharacteristic, complemented
177D13×#95C2211yescharacteristic
178D13×#95C2211yescharacteristic
179C13⋊#401C2211yescharacteristic, complemented
180#11718321C2211yescharacteristic, complemented
181#11718321C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718311C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×Q8×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C2×D4×D13—24no—
200C2×D4×D13—42no—
201C2×D4×D13—42no—
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×C4×D13—42no—
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×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C13×#126—42no—
223C13×C22⋊Q8—42no—
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×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253#88201—42no—
254#88200—42no—
255#88200—42no—
256#88184—42no—
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×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314#88149—42no—
315#88149—42no—
316#88149—42no—
317#88148—42no—
318#88148—42no—
319#88147—42no—
320#88137—42no—
321#88136—24no—
322#88136—24no—
323#88136—42no—
324#88136—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13—42no—
328C4×D52—42no—
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#36758—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—41no—
378C23×D13—41no—
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
390C23×D13C2411yescharacteristic
391C2×Q8×C13—22no—
392C2×Q8×C13—41no—
393C2×Q8×C13—41no—
394C2×D4×C13—22no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C22×C4×C13—22no—
398C22×C4×C13—22no—
399C22×C4×C13—41no—
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
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C22×Dic13—41no—
432C22×Dic13—41no—
433C22×Dic13—41no—
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445D4×D13—416no—
446C2×D52—22no—
447C2×D52—22no—
448C2×D52—22no—
449C2×D52—22no—
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—22no—
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×D52—41no—
467C2×D52—41no—
468C2×D52—41no—
469C2×D52—41no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—416no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—41no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13—41no—
495C2×C4×D13—41no—
496C2×C4×D13—41no—
497C2×C4×D13—41no—
498C13×C4⋊C4—22no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—22no—
501C13×C4⋊C4—41no—
502C13×C4⋊C4—41no—
503C13×C4⋊C4—41no—
504C13×C4⋊C4—41no—
505C13×C4⋊C4—41no—
506C13×C4⋊C4—41no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—22no—
509C13×C22⋊C4—22no—
510C13×C22⋊C4—22no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4—41no—
513C13×C22⋊C4—41no—
514C13×C22⋊C4—41no—
515C13×C22⋊C4—41no—
516C13×C22⋊C4—41no—
517C13×C22⋊C4—41no—
518C42×C13—41no—
519C42×C13—41no—
520C22⋊Dic13—41no—
521C22⋊Dic13—41no—
522C22⋊Dic13—41no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
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—41no—
554#6103—41no—
555#6103—41no—
556#6103—41no—
557#6103—41no—
558#6103—41no—
559#6103—41no—
560#6103—41no—
561#6103—41no—
562#6103—41no—
563#6103—41no—
564#6103—41no—
565#6103—41no—
566#6103—41no—
567C4⋊Dic13—22no—
568C4⋊Dic13—41no—
569C4⋊Dic13—41no—
570C4⋊Dic13—41no—
571C4⋊Dic13—41no—
572#6101—41no—
573#6101—41no—
574#6101—41no—
575#6101—41no—
576#6101—41no—
577#6101—41no—
578#6101—41no—
579#6101—41no—
580C4×Dic13—41no—
581C4×Dic13—41no—
582C4×Dic13—41no—
583C4×Dic13—41no—
584#2848—131no—
585#2847—131no—
586#2797—131no—
587#2781—131no—
588#2779—131no—
589#2778—131no—
590#2778—131no—
591#2756—131no—
592#2753—131no—
593#2749—131no—
594#2741—131no—
595#2730—131no—
596#2714—131no—
597#2703—131no—
598#2702D1311yescharacteristic, complemented
599#2696—131no—
600#2688—131no—
601#2676—131no—
602#2613—131no—
603#2613—131no—
604#2493—131no—
605#2488—131no—
606#2480—131no—
607#2472—131no—
608#2425—131no—
609#2424—131no—
610#2419—131no—
611#2418—131no—
612#2321—131no—
613#2321—131no—
614C2×#386—131no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13C2×#4112yes—
629C23×C13C2511yescharacteristic
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—28no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—44no—
663C22×D13—44no—
664C22×D13—44no—
665C22×D13—44no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—82no—
672C22×D13—82no—
673C22×D13—82no—
674C22×D13—82no—
675C22×D13C2×#4112yes—
676C22×D13C2×#4112yes—
677C22×D13H(5,𝔽2)12yes—
678C22×D13H(5,𝔽2)12yes—
679Q8×C13—82no—
680D4×C13—44no—
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—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—44no—
719C2×C4×C13H(5,𝔽2)12yes—
720C2×C4×C13H(5,𝔽2)12yes—
721C22⋊D13—44no—
722C22⋊D13—44no—
723C22⋊D13—82no—
724C22⋊D13—82no—
725C22⋊D13—82no—
726C22⋊D13—82no—
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—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—44no—
761D52—44no—
762D52—44no—
763D52—44no—
764D52—82no—
765D52—82no—
766D52—82no—
767D52—82no—
768D52—82no—
769C4×D13—44no—
770C4×D13—44no—
771C4×D13—44no—
772C4×D13—44no—
773C4×D13—44no—
774C4×D13—82no—
775C4×D13—82no—
776C4×D13—82no—
777C4×D13—82no—
778C23×D4—131no—
779C24×C4—131no—
780C2×#126C2×D1311yescharacteristic, complemented
781C2×#124—131no—
782C2×#123—131no—
783C2×#123—131no—
784C2×#123—131no—
785C2×C22⋊Q8—131no—
786C2×C22⋊Q8—131no—
787C2×C22⋊Q8C2×D1311yescharacteristic, complemented
788C2×#121—131no—
789C2×#121—131no—
790C2×#121—131no—
791C2×#121—131no—
792C2×#120—131no—
793C2×#120—131no—
794C2×#120—131no—
795C2×#120—131no—
796C2×C4×D4—131no—
797C2×C4×D4—131no—
798C22×C22⋊C4—131no—
799C22×C22⋊C4—131no—
800C22×C22⋊C4—131no—
801#401—131no—
802#400—131no—
803#400—131no—
804#400—131no—
805#400—131no—
806#400—131no—
807#400C2×D1311yescharacteristic, complemented
808#399—131no—
809#398—131no—
810#398C2×D1311yescharacteristic, complemented
811#397—131no—
812#397—131no—
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397—131no—
818#397—131no—
819#397—131no—
820#396—131no—
821#396—131no—
822#396C2×D1311yescharacteristic, complemented
823#394—131no—
824#394—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394—131no—
831#394—131no—
832#394—131no—
833#394—131no—
834#394—131no—
835#394—131no—
836#394C2×D1311yescharacteristic
837#394C2×D1311yescharacteristic
838#393—131no—
839#393C2×D1311yescharacteristic, complemented
840#392—131no—
841#392—131no—
842#392—131no—
843#392—131no—
844#392—131no—
845#392—131no—
846#392—131no—
847#392—131no—
848#392—131no—
849#391C2×D1311yescharacteristic, complemented
850#390—131no—
851#390—131no—
852#390—131no—
853#390—131no—
854#390—131no—
855#390—131no—
856#389C2×D1311yescharacteristic, complemented
857#388—131no—
858#388—131no—
859#388—131no—
860#388—131no—
861#388—131no—
862#388—131no—
863#388—131no—
864#388—131no—
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388C2×D1311yescharacteristic, complemented
874#388C2×D1311yescharacteristic, complemented
875#388C2×D1311yescharacteristic, complemented
876#387—131no—
877#387—131no—
878#387—131no—
879#387—131no—
880#387—131no—
881#386—131no—
882#386—131no—
883#386—131no—
884#386—131no—
885#386—131no—
886#386—131no—
887#386—131no—
888#386—131no—
889#386—131no—
890#386—131no—
891#386—131no—
892#386—131no—
893#386—131no—
894#386—131no—
895#386—131no—
896#386—131no—
897#386—131no—
898#386—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386C2×D1311yescharacteristic
904#385—131no—
905#385—131no—
906#385—131no—
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385—131no—
912#385—131no—
913#383—131no—
914#382—131no—
915#381—131no—
916#381—131no—
917#381—131no—
918#380—131no—
919#380—131no—
920#380—131no—
921#380—131no—
922#380—131no—
923#380—131no—
924#380C2×D1311yescharacteristic, complemented
925#379—131no—
926#379—131no—
927#379—131no—
928#379—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C2×#95—131no—
932C2×#95—131no—
933C22×C13—22no—
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13C22×#4111yescharacteristic
948C22×C13C2×H(5,𝔽2)11yescharacteristic
949C22×C13C2×H(5,𝔽2)11yescharacteristic
950C22×C13C2×H(5,𝔽2)11yescharacteristic
951C22×C13C2×H(5,𝔽2)11yescharacteristic
952C22×C13#58511yescharacteristic
953C22×C13#58511yescharacteristic
954C2×D13—22no—
955C2×D13—22no—
956C2×D13—22no—
957C2×D13—22no—
958C2×D13—22no—
959C2×D13—22no—
960C2×D13—22no—
961C2×D13—22no—
962C2×D13—22no—
963C2×D13—416no—
964C2×D13—41no—
965C2×D13—41no—
966C2×D13—41no—
967C2×D13—41no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—41no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—41no—
985C2×D13—41no—
986C2×D13—41no—
987C2×D13—41no—
988C2×D13—41no—
989C2×D13—88no—
990C2×D13#53814yes—
991C4×C13—22no—
992C4×C13—22no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004Dic13—41no—
1005Dic13—41no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009Dic13—41no—
1010Dic13—41no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014Dic13—41no—
1015C25—131no—
1016C25—131no—
1017C22×Q8C22×D1311yescharacteristic
1018C22×D4—131no—
1019C22×D4—131no—
1020C22×D4—131no—
1021C22×D4—131no—
1022C22×D4—131no—
1023C22×D4—131no—
1024C22×D4—131no—
1025C22×D4—131no—
1026C22×D4—131no—
1027C22×D4—131no—
1028C22×D4—131no—
1029C22×D4—131no—
1030C22×D4—131no—
1031C22×D4—131no—
1032C22×D4—264no—
1033C22×D4—522no—
1034C22×D4—522no—
1035C22×D4C22×D1311yescharacteristic
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—131no—
1045C23×C4—131no—
1046C23×C4—522no—
1047C23×C4—522no—
1048C23×C4—522no—
1049C23×C4C22×D1311yescharacteristic
1050#126—42no—
1051#124—522no—
1052#123—522no—
1053#123—522no—
1054#123—522no—
1055C22⋊Q8—42no—
1056C22⋊Q8—522no—
1057C22⋊Q8—522no—
1058#121—522no—
1059#121—522no—
1060#121—522no—
1061#121—522no—
1062#120—264no—
1063#120—264no—
1064#120—522no—
1065#120—522no—
1066C4×D4—522no—
1067C4×D4—522no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4C22×D1311yescharacteristic
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C4⋊C4C22×D1311yescharacteristic
1087C2×C4⋊C4C22×D1311yescharacteristic
1088C2×C4⋊C4C22×D1311yescharacteristic
1089C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—522no—
1138C2×C22⋊C4—522no—
1139C2×C22⋊C4—522no—
1140C2×C22⋊C4C22×D1311yescharacteristic
1141C2×C22⋊C4C22×D1311yescharacteristic
1142C2×C22⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4C22×D1311yescharacteristic
1144C2×C22⋊C4C22×D1311yescharacteristic
1145C2×C22⋊C4C22×D1311yescharacteristic
1146C2×C22⋊C4C22×D1311yescharacteristic
1147C2×C22⋊C4C22×D1311yescharacteristic
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C42—131no—
1152C2×C42—131no—
1153C2×C42—131no—
1154C2×C42—131no—
1155C2×C42C22×D1311yescharacteristic
1156C2×C42C22×D1311yescharacteristic
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95C22×D1311yescharacteristic
1188#95C22×D1311yescharacteristic
1189#95C22×D1311yescharacteristic
1190#95C22×D1311yescharacteristic
1191#95C22×D1311yescharacteristic
1192#95C22×D1311yescharacteristic
1193#95C22×D1311yescharacteristic
1194#95C22×D1311yescharacteristic
1195#95C22×D1311yescharacteristic
1196#95C22×D1311yescharacteristic
1197C2×C13—42no—
1198C2×C13—81no—
1199C2×C13C2×#53811yescharacteristic
1200C2×C13#350511yescharacteristic
1201C2×C13#350511yescharacteristic
1202C2×C13#353211yescharacteristic
1203C2×C13#353311yescharacteristic
1204C2×C13#354211yescharacteristic
1205C2×C13#354211yescharacteristic
1206D13—24no—
1207D13—42no—
1208D13—81no—
1209D13—81no—
1210D13—81no—
1211C24—131no—
1212C24—131no—
1213C24—134no—
1214C24—131no—
1215C24—131no—
1216C24—131no—
1217C24—262no—
1218C24—262no—
1219C24—262no—
1220C24—262no—
1221C24—262no—
1222C24—521no—
1223C24—521no—
1224C24—521no—
1225C24—521no—
1226C24—521no—
1227C24—521no—
1228C24—521no—
1229C24—521no—
1230C24C23×D1311yescharacteristic
1231C24C23×D1311yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×D4—22no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—262no—
1239C2×D4—262no—
1240C2×D4—262no—
1241C2×D4—262no—
1242C2×D4—262no—
1243C2×D4—262no—
1244C2×D4—262no—
1245C2×D4—262no—
1246C2×D4—262no—
1247C2×D4—262no—
1248C2×D4—262no—
1249C2×D4—262no—
1250C2×D4—262no—
1251C2×D4—262no—
1252C2×D4—521no—
1253C2×D4—521no—
1254C2×D4—521no—
1255C2×D4—521no—
1256C2×D4—521no—
1257C2×D4—521no—
1258C2×D4—521no—
1259C2×D4—521no—
1260C2×D4—521no—
1261C2×D4—521no—
1262C2×D4—521no—
1263C2×D4—521no—
1264C2×D4—521no—
1265C2×D4—521no—
1266C2×D4—521no—
1267C2×D4—521no—
1268C2×D4—521no—
1269C2×D4—521no—
1270C2×D4—521no—
1271C2×D4—521no—
1272C2×D4—521no—
1273C2×D4—521no—
1274C2×D4—521no—
1275C2×D4—521no—
1276C2×D4—521no—
1277C2×D4—521no—
1278C2×D4—521no—
1279C2×D4—521no—
1280C2×D4—5216no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—131no—
1285C22×C4—131no—
1286C22×C4—131no—
1287C22×C4—131no—
1288C22×C4—131no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—521no—
1307C22×C4—521no—
1308C22×C4—521no—
1309C22×C4—521no—
1310C22×C4—521no—
1311C22×C4—521no—
1312C22×C4—521no—
1313C22×C4—521no—
1314C22×C4—521no—
1315C22×C4—521no—
1316C22×C4—521no—
1317C22×C4—521no—
1318C22×C4—521no—
1319C22×C4—521no—
1320C22×C4—521no—
1321C22×C4—521no—
1322C22×C4—5216no—
1323C22×C4—521no—
1324C22×C4—521no—
1325C22×C4—521no—
1326C22×C4C23×D1311yescharacteristic
1327C22×C4C23×D1311yescharacteristic
1328C22×C4C23×D1311yescharacteristic
1329C22×C4C23×D1311yescharacteristic
1330C22×C4C23×D1311yescharacteristic
1331C22×C4C23×D1311yescharacteristic
1332C22×C4C23×D1311yescharacteristic
1333C22×C4C23×D1311yescharacteristic
1334C22×C4C23×D1311yescharacteristic
1335C22×C4C23×D1311yescharacteristic
1336C22×C4C23×D1311yescharacteristic
1337C22×C4C23×D1311yescharacteristic
1338C22×C4C23×D1311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—262no—
1349C4⋊C4—521no—
1350C4⋊C4—521no—
1351C4⋊C4—521no—
1352C4⋊C4—521no—
1353C4⋊C4—521no—
1354C4⋊C4—521no—
1355C4⋊C4—521no—
1356C4⋊C4—521no—
1357C4⋊C4—521no—
1358C4⋊C4—521no—
1359C4⋊C4—521no—
1360C4⋊C4—521no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—262no—
1373C22⋊C4—262no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—262no—
1377C22⋊C4—262no—
1378C22⋊C4—262no—
1379C22⋊C4—262no—
1380C22⋊C4—262no—
1381C22⋊C4—262no—
1382C22⋊C4—262no—
1383C22⋊C4—262no—
1384C22⋊C4—521no—
1385C22⋊C4—521no—
1386C22⋊C4—521no—
1387C22⋊C4—521no—
1388C22⋊C4—521no—
1389C22⋊C4—521no—
1390C22⋊C4—521no—
1391C22⋊C4—521no—
1392C22⋊C4—521no—
1393C22⋊C4—521no—
1394C22⋊C4—521no—
1395C22⋊C4—521no—
1396C22⋊C4—521no—
1397C22⋊C4—521no—
1398C22⋊C4—521no—
1399C22⋊C4—521no—
1400C22⋊C4—521no—
1401C22⋊C4—521no—
1402C22⋊C4—521no—
1403C22⋊C4—521no—
1404C22⋊C4—521no—
1405C22⋊C4—521no—
1406C22⋊C4—521no—
1407C22⋊C4—521no—
1408C22⋊C4—521no—
1409C22⋊C4—521no—
1410C22⋊C4—521no—
1411C22⋊C4—521no—
1412C22⋊C4—521no—
1413C22⋊C4—521no—
1414C22⋊C4—521no—
1415C22⋊C4—521no—
1416C22⋊C4—521no—
1417C22⋊C4—521no—
1418C22⋊C4—521no—
1419C42—41no—
1420C42—41no—
1421C42—521no—
1422C42—521no—
1423C42—521no—
1424C42—521no—
1425C13#3675811yescharacteristic, complemented, Sylow
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—132no—
1440C23—132no—
1441C23—132no—
1442C23—132no—
1443C23—268no—
1444C23—261no—
1445C23—261no—
1446C23—261no—
1447C23—261no—
1448C23—261no—
1449C23—261no—
1450C23—261no—
1451C23—261no—
1452C23—261no—
1453C23—261no—
1454C23—261no—
1455C23—261no—
1456C23—261no—
1457C23—261no—
1458C23—261no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—261no—
1465C23—261no—
1466C23—261no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—261no—
1472C23—261no—
1473C23—261no—
1474C23—261no—
1475C23—524no—
1476C23—524no—
1477C23—524no—
1478C23—524no—
1479C23—524no—
1480C23—524no—
1481C23—524no—
1482C23—524no—
1483C23—524no—
1484C23—1042no—
1485C23—1042no—
1486C23—1042no—
1487C23—1042no—
1488C23#41×D1312yes—
1489C23C24×D1311yescharacteristic
1490Q8—82no—
1491D4—44no—
1492D4—524no—
1493D4—524no—
1494D4—524no—
1495D4—524no—
1496D4—524no—
1497D4—1042no—
1498D4—1042no—
1499D4—1042no—
1500D4—1042no—
1501D4—1042no—
1502D4—1042no—
1503D4—1042no—
1504D4—1042no—
1505D4—1042no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—44no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—524no—
1578C2×C4—524no—
1579C2×C4—524no—
1580C2×C4—524no—
1581C2×C4—524no—
1582C2×C4—524no—
1583C2×C4—1042no—
1584C2×C4—1042no—
1585C2×C4—1042no—
1586C2×C4—1042no—
1587C2×C4#8825112yes—
1588C2×C4#8825612yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—134no—
1604C22—262no—
1605C22—262no—
1606C22—262no—
1607C22—262no—
1608C22—262no—
1609C22—262no—
1610C22—262no—
1611C22—262no—
1612C22—262no—
1613C22—5216no—
1614C22—521no—
1615C22—521no—
1616C22—521no—
1617C22—521no—
1618C22—521no—
1619C22—521no—
1620C22—521no—
1621C22—521no—
1622C22—521no—
1623C22—521no—
1624C22—521no—
1625C22—521no—
1626C22—521no—
1627C22—521no—
1628C22—521no—
1629C22—521no—
1630C22—521no—
1631C22—521no—
1632C22—521no—
1633C22—521no—
1634C22—521no—
1635C22—521no—
1636C22—521no—
1637C22—521no—
1638C22—521no—
1639C22—1048no—
1640C22C2×#8825111yescharacteristic
1641C22C2×#41×D1311yescharacteristic
1642C22C2×#8825611yescharacteristic
1643C22D13×H(5,𝔽2)11yescharacteristic
1644C22D13×H(5,𝔽2)11yescharacteristic
1645C22#1171965211yescharacteristic
1646C22#1171965211yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—521no—
1661C4—521no—
1662C4—521no—
1663C4—521no—
1664C4—521no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4—521no—
1670C4—521no—
1671C2—42no—
1672C2—81no—
1673C2—264no—
1674C2—522no—
1675C2—1041no—
1676C2—1041no—
1677C2—1041no—
1678C2D13×#53811yescharacteristic
1679C2#1312867211yescharacteristic
1680C2#1312867611yescharacteristic
1681C2#1312898511yescharacteristic
1682C2#1312901211yescharacteristic
1683C2#1312914011yescharacteristic
1684C2#1312914811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2702C2
hypercenter#2702D13
hypocenterC13#36758
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #13123120C2semidirect
2. #13123119C2semidirect
3. #13122699C2semidirect
4. #13122498C2semidirect
5. #13122463C2semidirect
6. #13122452C2semidirect
7. #13122449C2semidirect
8. #13122164C2semidirect
9. #13122108C2semidirect
10. #13122052C2semidirect
11. #13121951C2semidirect
12. #13121831C2semidirect
13. #13121628C2semidirect
14. #13121483C2semidirect
15. #13121391C2semidirect
16. #13121279C2semidirect
17. #13121133C2semidirect
18. #13120549C2semidirect
19. #13120549C2semidirect
20. #13119222C2semidirect
21. #13119169C2semidirect
22. #13119078C2semidirect
23. #13118965C2semidirect
24. #13118394C2semidirect
25. #13118367C2semidirect
26. #13118314C2semidirect
27. #13118303C2semidirect
28. #13117498C2semidirect
29. #13117489C2semidirect
30. D13×#386C2semidirect
31. C13×#2702C2semidirect
34. C2×C13×#126C22semidirect
35. C2×C13×C22⋊Q8C22semidirect
36. C2×#88201C22semidirect
38. C2×#88200C22semidirect
39. C2×#88184C22semidirect
41. C2×#88149C22semidirect
42. C2×#88149C22semidirect
46. C2×#88137C22semidirect
55. C13×#400C22semidirect
56. C13×#398C22semidirect
57. C13×#396C22semidirect
60. C13×#393C22semidirect
61. C13×#391C22semidirect
62. C13×#389C22semidirect
63. C13×#388C22semidirect
64. C13×#388C22semidirect
65. C13×#388C22semidirect
67. C13×#380C22semidirect
68. #11718892C22semidirect
73. #11718873C22semidirect
74. #11718655C22semidirect
75. #11718655C22semidirect
76. #11718654C22semidirect
77. #11718654C22semidirect
78. #11718654C22semidirect
81. #11718652C22semidirect
82. #11718652C22semidirect
83. #11718652C22semidirect
84. #11718651C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
90. #11718650C22semidirect
91. #11718650C22semidirect
92. #11718650C22semidirect
93. #11718649C22semidirect
96. #11718648C22semidirect
97. #11718648C22semidirect
98. #11718645C22semidirect
99. #11718643C22semidirect
100. #11718643C22semidirect
101. #11718642C22semidirect
102. #11718642C22semidirect
103. #11718639C22semidirect
104. #11718622C22semidirect
105. #11718622C22semidirect
110. #11718621C22semidirect
116. #11718619C22semidirect
117. #11718619C22semidirect
118. #11718618C22semidirect
119. #11718618C22semidirect
120. #11718618C22semidirect
121. #11718618C22semidirect
124. #11718617C22semidirect
125. #11718617C22semidirect
126. #11718617C22semidirect
131. #11718614C22semidirect
132. #11718613C22semidirect
133. #11718613C22semidirect
134. #11718612C22semidirect
135. #11718612C22semidirect
136. #11718612C22semidirect
137. #11718607C22semidirect
138. #11718607C22semidirect
139. #11718606C22semidirect
140. #11718601C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
143. #11718601C22semidirect
144. #11718601C22semidirect
145. #11718600C22semidirect
147. #11718338C22semidirect
148. #11718336C22semidirect
149. #11718336C22semidirect
150. #11718335C22semidirect
151. #11718333C22semidirect
152. #11718333C22semidirect
155. #11718331C22semidirect
156. #11718331C22semidirect
157. #11718331C22semidirect
158. #11718330C22semidirect
160. #11718328C22semidirect
168. #11718326C22semidirect
169. #11718326C22semidirect
170. #11718326C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
176. #11718325C22semidirect
179. C13⋊#401C22semidirect
180. #11718321C22semidirect
181. #11718321C22semidirect
182. #11718319C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718312C22semidirect
186. #11718311C22semidirect
598. #2702D13semidirect
780. C2×#126C2×D13semidirect
787. C2×C22⋊Q8C2×D13semidirect
807. #400C2×D13semidirect
810. #398C2×D13semidirect
822. #396C2×D13semidirect
839. #393C2×D13semidirect
849. #391C2×D13semidirect
856. #389C2×D13semidirect
873. #388C2×D13semidirect
874. #388C2×D13semidirect
875. #388C2×D13semidirect
924. #380C2×D13semidirect
1425. C13#36758semidirect

Maximal subgroups

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

subgroupindex
#131231202
#131231192
#131226992
#131224982
#131224632
#131224522
#131224492
#131221642
#131221082
#131220522
#131219512
#131218312
#131216282
#131214832
#131213912
#131212792
#131211332
#131205492
#131192222
#131191692
#131190782
#131189652
#131183942
#131183672
#131183142
#131183032
#131174982
#131174892
D13×#3862
C13×#27022
#3675813