Finite Group Databasebeta

← #16070779

Subgroups — #16070779

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#13123122C211yesmaximal, characteristic, complemented
2#13123115C211yesmaximal, characteristic, complemented
3#13122700C211yesmaximal, characteristic, complemented
4#13122502C211yesmaximal, characteristic, complemented
5#13122469C211yesmaximal, characteristic, complemented
6#13122451C211yesmaximal, characteristic, complemented
7#13122447C211yesmaximal, characteristic, complemented
8#13122158C211yesmaximal, characteristic, complemented
9#13122120C211yesmaximal, characteristic, complemented
10#13122057C211yesmaximal, characteristic, complemented
11#13121945C211yesmaximal, characteristic, complemented
12#13121828C211yesmaximal, characteristic, complemented
13#13121486C211yesmaximal, characteristic, complemented
14#13121458C211yesmaximal, characteristic, complemented
15#13121385C211yesmaximal, characteristic, complemented
16#13121266C211yesmaximal, characteristic, complemented
17#13121139C211yesmaximal, characteristic, complemented
18#13120547C211yesmaximal, characteristic, complemented
19#13120547C211yesmaximal, characteristic, complemented
20#13119220C211yesmaximal, characteristic, complemented
21#13119167C211yesmaximal, characteristic, complemented
22#13119078C211yesmaximal, characteristic, complemented
23#13118968C211yesmaximal, characteristic, complemented
24#13118388C211yesmaximal, characteristic, complemented
25#13118375C211yesmaximal, characteristic, complemented
26#13118308C211yesmaximal, characteristic, complemented
27#13118291C211yesmaximal, characteristic, complemented
28#13117495C211yesmaximal, characteristic, complemented
29#13117495C211yesmaximal, characteristic, complemented
30D13×#386C211yesmaximal, characteristic, complemented
31C13×#2714C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic, complemented
35C2×C13×#121C2211yescharacteristic, complemented
36C2×#88193C2211yescharacteristic, complemented
37C2×#88192C2211yescharacteristic
38C2×#88192C2211yescharacteristic, complemented
39C2×#88191C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88191C2211yescharacteristic
43C2×#88189C2211yescharacteristic, complemented
44C2×#88150C2211yescharacteristic
45C2×#88150C2211yescharacteristic, complemented
46C2×#88139C2211yescharacteristic, complemented
47C2×#88137C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×C22⋊C4×D13C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×#88132C2211yescharacteristic, complemented
55C13×#397C2211yescharacteristic, complemented
56C13×#394C2211yescharacteristic, complemented
57C13×#394C2211yescharacteristic, complemented
58C13×#392C2211yescharacteristic
59C13×#392C2211yescharacteristic
60C13×#392C2211yescharacteristic, complemented
61C13×#390C2211yescharacteristic, complemented
62C13×#390C2211yescharacteristic, complemented
63C13×#390C2211yescharacteristic, complemented
64C13×#388C2211yescharacteristic, complemented
65C13×#387C2211yescharacteristic, complemented
66C13×#386C2211yescharacteristic
67C13×#385C2211yescharacteristic, complemented
68#11718884C2211yescharacteristic
69#11718884C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718884C2211yescharacteristic
72#11718883C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718883C2211yescharacteristic, complemented
75#11718882C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic, complemented
78#11718881C2211yescharacteristic, complemented
79#11718881C2211yescharacteristic, complemented
80#11718881C2211yescharacteristic, complemented
81#11718881C2211yescharacteristic, complemented
82#11718881C2211yescharacteristic, complemented
83#11718874C2211yescharacteristic
84#11718873C2211yescharacteristic, complemented
85#11718871C2211yescharacteristic, complemented
86#11718655C2211yescharacteristic, complemented
87#11718654C2211yescharacteristic, complemented
88#11718654C2211yescharacteristic, complemented
89#11718653C2211yescharacteristic, complemented
90#11718651C2211yescharacteristic, complemented
91#11718651C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic, complemented
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic, complemented
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic, complemented
99#11718647C2211yescharacteristic, complemented
100#11718646C2211yescharacteristic, complemented
101#11718645C2211yescharacteristic, complemented
102#11718643C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718622C2211yescharacteristic
105#11718622C2211yescharacteristic
106#11718622C2211yescharacteristic
107#11718622C2211yescharacteristic
108#11718622C2211yescharacteristic, complemented
109#11718621C2211yescharacteristic
110#11718621C2211yescharacteristic
111#11718620C2211yescharacteristic, complemented
112#11718620C2211yescharacteristic, complemented
113#11718620C2211yescharacteristic, complemented
114#11718619C2211yescharacteristic
115#11718619C2211yescharacteristic, complemented
116#11718619C2211yescharacteristic, complemented
117#11718619C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic, complemented
119#11718618C2211yescharacteristic, complemented
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic, complemented
128#11718616C2211yescharacteristic
129#11718616C2211yescharacteristic
130#11718616C2211yescharacteristic
131#11718616C2211yescharacteristic
132#11718614C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718613C2211yescharacteristic, complemented
135#11718613C2211yescharacteristic, complemented
136#11718613C2211yescharacteristic, complemented
137#11718613C2211yescharacteristic, complemented
138#11718612C2211yescharacteristic, complemented
139#11718609C2211yescharacteristic, complemented
140#11718609C2211yescharacteristic, complemented
141#11718608C2211yescharacteristic, complemented
142#11718608C2211yescharacteristic, complemented
143#11718607C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic, complemented
146#11718606C2211yescharacteristic, complemented
147#11718606C2211yescharacteristic, complemented
148#11718606C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718605C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic, complemented
152#11718604C2211yescharacteristic, complemented
153#11718603C2211yescharacteristic, complemented
154#11718603C2211yescharacteristic, complemented
155#11718601C2211yescharacteristic, complemented
156#11718601C2211yescharacteristic, complemented
157#11718601C2211yescharacteristic, complemented
158#11718601C2211yescharacteristic, complemented
159C4×#6103C2211yescharacteristic
160C4×#6103C2211yescharacteristic
161#11718598C2211yescharacteristic, complemented
162#11718590C2211yescharacteristic, complemented
163#11718333C2211yescharacteristic
164#11718333C2211yescharacteristic
165#11718331C2211yescharacteristic, complemented
166#11718330C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic
168#11718329C2211yescharacteristic, complemented
169#11718328C2211yescharacteristic
170#11718328C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718325C2211yescharacteristic
174#11718325C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177C13⋊#401C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718316C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718311C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C2×D4×D13—24no—
208C2×D4×D13—42no—
209C2×D4×D13—42no—
210C22×D52C2311yescharacteristic
211C22×C4×D13—42no—
212C22×C4×D13—42no—
213C22×C4×D13—42no—
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×Dic26C2311yescharacteristic
222C13×#126—42no—
223C13×#121—42no—
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊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×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
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265#88193—42no—
266#88192—42no—
267#88192—42no—
268#88191—24no—
269#88191—24no—
270#88191—42no—
271#88191—42no—
272#88189—42no—
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×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88150—42no—
319#88150—42no—
320#88139—42no—
321#88137—42no—
322#88137—42no—
323#88135—42no—
324#88135—42no—
325C22⋊C4×D13—42no—
326C22⋊C4×D13—42no—
327C22⋊C4×D13—42no—
328#88132—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#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
372C24×C13C2411yescharacteristic
373C24×C13C2411yescharacteristic
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—41no—
386C23×D13—41no—
387C23×D13#4114yes—
388C23×D13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C23×D13C2411yescharacteristic
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C22×C4×C13—22no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13—41no—
445C2×C22⋊D13—41no—
446C2×C22⋊D13—41no—
447C22×Dic13—22no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469D4×D13—416no—
470C2×D52—22no—
471C2×D52—41no—
472C2×D52—41no—
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—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13—41no—
487C2×C4×D13—41no—
488C2×C4×D13—41no—
489C2×C4×D13—41no—
490C2×C4×D13—416no—
491C2×C4×D13—41no—
492C2×C4×D13—41no—
493C2×C4×D13—41no—
494C2×C4×D13—41no—
495C2×Dic26—22no—
496C2×Dic26—41no—
497C2×Dic26—41no—
498C13×C4⋊C4—22no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4—41no—
502C13×C4⋊C4—41no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
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—22no—
521C22⋊Dic13—22no—
522C22⋊Dic13—22no—
523C22⋊Dic13—22no—
524C22⋊Dic13—22no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13—41no—
535C22⋊Dic13—41no—
536C22⋊Dic13—41no—
537C22⋊Dic13—41no—
538C22⋊Dic13—41no—
539#6103—22no—
540#6103—22no—
541#6103—22no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—22no—
547#6103—22no—
548#6103—22no—
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—
563C4⋊Dic13—41no—
564C4⋊Dic13—41no—
565C4⋊Dic13—41no—
566C4⋊Dic13—41no—
567C4⋊Dic13—41no—
568#6101—22no—
569#6101—22no—
570#6101—41no—
571#6101—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#2714D1311yescharacteristic, complemented
597#2703—131no—
598#2702—131no—
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×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13C2×#4112yes—
643C23×C13C2511yescharacteristic
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—28no—
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—
679D4×C13—44no—
680D4×C13—82no—
681D4×C13—82no—
682D4×C13—82no—
683D4×C13—82no—
684D4×C13—82no—
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—44no—
718C2×C4×C13H(5,𝔽2)12yes—
719C22⋊D13—44no—
720C22⋊D13—44no—
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—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—44no—
766C2×Dic13—82no—
767C2×Dic13—82no—
768C2×Dic13H(5,𝔽2)12yes—
769D52—44no—
770C4×D13—44no—
771C4×D13—44no—
772C4×D13—44no—
773C4×D13—44no—
774C4×D13—44no—
775C4×D13—82no—
776C4×D13—82no—
777Dic26—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⋊Q8—131no—
788C2×#121—131no—
789C2×#121—131no—
790C2×#121—131no—
791C2×#121C2×D1311yescharacteristic, complemented
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#400—131no—
808#399—131no—
809#398—131no—
810#398—131no—
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#397C2×D1311yescharacteristic, complemented
820#396—131no—
821#396—131no—
822#396—131no—
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, complemented
837#394C2×D1311yescharacteristic, complemented
838#393—131no—
839#393—131no—
840#392—131no—
841#392—131no—
842#392—131no—
843#392—131no—
844#392—131no—
845#392—131no—
846#392C2×D1311yescharacteristic
847#392C2×D1311yescharacteristic
848#392C2×D1311yescharacteristic, complemented
849#391—131no—
850#390—131no—
851#390—131no—
852#390—131no—
853#390C2×D1311yescharacteristic, complemented
854#390C2×D1311yescharacteristic, complemented
855#390C2×D1311yescharacteristic, complemented
856#389—131no—
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#388—131no—
874#388—131no—
875#388C2×D1311yescharacteristic, complemented
876#387—131no—
877#387—131no—
878#387—131no—
879#387—131no—
880#387C2×D1311yescharacteristic, complemented
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#385C2×D1311yescharacteristic, complemented
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#380—131no—
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×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13—41no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13—41no—
961C22×C13C22×#4111yescharacteristic
962C22×C13C2×H(5,𝔽2)11yescharacteristic
963C22×C13C2×H(5,𝔽2)11yescharacteristic
964C22×C13C2×H(5,𝔽2)11yescharacteristic
965C22×C13C2×H(5,𝔽2)11yescharacteristic
966C22×C13#58511yescharacteristic
967C22×C13#58511yescharacteristic
968C2×D13—22no—
969C2×D13—22no—
970C2×D13—22no—
971C2×D13—22no—
972C2×D13—22no—
973C2×D13—22no—
974C2×D13—22no—
975C2×D13—22no—
976C2×D13—22no—
977C2×D13—416no—
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—41no—
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—
1002Dic13—22no—
1003Dic13—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×Q8—131no—
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—264no—
1028C22×D4—522no—
1029C22×D4—522no—
1030C22×D4C22×D1311yescharacteristic
1031C22×D4C22×D1311yescharacteristic
1032C22×D4C22×D1311yescharacteristic
1033C22×D4C22×D1311yescharacteristic
1034C22×D4C22×D1311yescharacteristic
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—522no—
1056C22⋊Q8—522no—
1057C22⋊Q8—522no—
1058#121—42no—
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⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—131no—
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—522no—
1134C2×C22⋊C4—522no—
1135C2×C22⋊C4—522no—
1136C2×C22⋊C4C22×D1311yescharacteristic
1137C2×C22⋊C4C22×D1311yescharacteristic
1138C2×C22⋊C4C22×D1311yescharacteristic
1139C2×C22⋊C4C22×D1311yescharacteristic
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#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
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×C13—81no—
1200C2×C13—81no—
1201C2×C13C2×#53811yescharacteristic
1202C2×C13#350511yescharacteristic
1203C2×C13#350511yescharacteristic
1204C2×C13#353211yescharacteristic
1205C2×C13#353311yescharacteristic
1206C2×C13#354211yescharacteristic
1207C2×C13#354211yescharacteristic
1208D13—24no—
1209D13—42no—
1210D13—81no—
1211C24—131no—
1212C24—131no—
1213C24—134no—
1214C24—131no—
1215C24—262no—
1216C24—262no—
1217C24—262no—
1218C24—262no—
1219C24—262no—
1220C24—521no—
1221C24—521no—
1222C24—521no—
1223C24—521no—
1224C24—521no—
1225C24—521no—
1226C24—521no—
1227C24—521no—
1228C24C23×D1311yescharacteristic
1229C24C23×D1311yescharacteristic
1230C24C23×D1311yescharacteristic
1231C24C23×D1311yescharacteristic
1232C2×Q8—262no—
1233C2×Q8—521no—
1234C2×Q8—521no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—262no—
1254C2×D4—262no—
1255C2×D4—262no—
1256C2×D4—262no—
1257C2×D4—262no—
1258C2×D4—262no—
1259C2×D4—262no—
1260C2×D4—262no—
1261C2×D4—262no—
1262C2×D4—262no—
1263C2×D4—262no—
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—41no—
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—131no—
1296C22×C4—131no—
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—262no—
1307C22×C4—262no—
1308C22×C4—262no—
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—5216no—
1320C22×C4—521no—
1321C22×C4—521no—
1322C22×C4—521no—
1323C22×C4—521no—
1324C22×C4—521no—
1325C22×C4—521no—
1326C22×C4—521no—
1327C22×C4—521no—
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—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—262no—
1345C4⋊C4—262no—
1346C4⋊C4—521no—
1347C4⋊C4—521no—
1348C4⋊C4—521no—
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—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
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—262no—
1385C22⋊C4—262no—
1386C22⋊C4—262no—
1387C22⋊C4—262no—
1388C22⋊C4—262no—
1389C22⋊C4—262no—
1390C22⋊C4—262no—
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—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—132no—
1454C23—132no—
1455C23—132no—
1456C23—132no—
1457C23—268no—
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—1042no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—524no—
1498D4—524no—
1499D4—524no—
1500D4—524no—
1501D4—524no—
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—44no—
1539C2×C4—132no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
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—261no—
1578C2×C4—524no—
1579C2×C4—524no—
1580C2×C4—524no—
1581C2×C4—524no—
1582C2×C4—524no—
1583C2×C4—524no—
1584C2×C4—1042no—
1585C2×C4—1042no—
1586C2×C4—1042no—
1587C2×C4—1042no—
1588C2×C4#8825112yes—
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—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—134no—
1618C22—262no—
1619C22—262no—
1620C22—262no—
1621C22—262no—
1622C22—262no—
1623C22—262no—
1624C22—262no—
1625C22—262no—
1626C22—262no—
1627C22—5216no—
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
1642C22#1171964811yescharacteristic
1643C22D13×H(5,𝔽2)11yescharacteristic
1644C22D13×H(5,𝔽2)11yescharacteristic
1645C22D13×H(5,𝔽2)11yescharacteristic
1646C22#1171965011yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—262no—
1659C4—521no—
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—81no—
1674C2—81no—
1675C2—264no—
1676C2—522no—
1677C2—1041no—
1678C2D13×#53811yescharacteristic
1679C2#1312866311yescharacteristic
1680C2#1312866911yescharacteristic
1681C2#1312899011yescharacteristic
1682C2#1312900311yescharacteristic
1683C2#1312914111yescharacteristic
1684C2#1312914211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2714C2
hypercenter#2714D13
hypocenterC13#36758
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. #13123122C2semidirect
2. #13123115C2semidirect
3. #13122700C2semidirect
4. #13122502C2semidirect
5. #13122469C2semidirect
6. #13122451C2semidirect
7. #13122447C2semidirect
8. #13122158C2semidirect
9. #13122120C2semidirect
10. #13122057C2semidirect
11. #13121945C2semidirect
12. #13121828C2semidirect
13. #13121486C2semidirect
14. #13121458C2semidirect
15. #13121385C2semidirect
16. #13121266C2semidirect
17. #13121139C2semidirect
18. #13120547C2semidirect
19. #13120547C2semidirect
20. #13119220C2semidirect
21. #13119167C2semidirect
22. #13119078C2semidirect
23. #13118968C2semidirect
24. #13118388C2semidirect
25. #13118375C2semidirect
26. #13118308C2semidirect
27. #13118291C2semidirect
28. #13117495C2semidirect
29. #13117495C2semidirect
30. D13×#386C2semidirect
31. C13×#2714C2semidirect
34. C2×C13×#126C22semidirect
35. C2×C13×#121C22semidirect
36. C2×#88193C22semidirect
38. C2×#88192C22semidirect
43. C2×#88189C22semidirect
45. C2×#88150C22semidirect
46. C2×#88139C22semidirect
54. C2×#88132C22semidirect
55. C13×#397C22semidirect
56. C13×#394C22semidirect
57. C13×#394C22semidirect
60. C13×#392C22semidirect
61. C13×#390C22semidirect
62. C13×#390C22semidirect
63. C13×#390C22semidirect
64. C13×#388C22semidirect
65. C13×#387C22semidirect
67. C13×#385C22semidirect
74. #11718883C22semidirect
75. #11718882C22semidirect
77. #11718881C22semidirect
78. #11718881C22semidirect
79. #11718881C22semidirect
80. #11718881C22semidirect
81. #11718881C22semidirect
82. #11718881C22semidirect
84. #11718873C22semidirect
85. #11718871C22semidirect
86. #11718655C22semidirect
87. #11718654C22semidirect
88. #11718654C22semidirect
89. #11718653C22semidirect
90. #11718651C22semidirect
91. #11718651C22semidirect
92. #11718651C22semidirect
96. #11718650C22semidirect
98. #11718648C22semidirect
99. #11718647C22semidirect
100. #11718646C22semidirect
101. #11718645C22semidirect
102. #11718643C22semidirect
103. #11718642C22semidirect
108. #11718622C22semidirect
111. #11718620C22semidirect
112. #11718620C22semidirect
113. #11718620C22semidirect
115. #11718619C22semidirect
116. #11718619C22semidirect
117. #11718619C22semidirect
118. #11718618C22semidirect
119. #11718618C22semidirect
126. #11718617C22semidirect
127. #11718617C22semidirect
132. #11718614C22semidirect
133. #11718613C22semidirect
134. #11718613C22semidirect
135. #11718613C22semidirect
136. #11718613C22semidirect
137. #11718613C22semidirect
138. #11718612C22semidirect
139. #11718609C22semidirect
140. #11718609C22semidirect
141. #11718608C22semidirect
142. #11718608C22semidirect
143. #11718607C22semidirect
144. #11718606C22semidirect
145. #11718606C22semidirect
146. #11718606C22semidirect
147. #11718606C22semidirect
148. #11718606C22semidirect
149. #11718605C22semidirect
150. #11718605C22semidirect
151. #11718605C22semidirect
152. #11718604C22semidirect
153. #11718603C22semidirect
154. #11718603C22semidirect
155. #11718601C22semidirect
156. #11718601C22semidirect
157. #11718601C22semidirect
158. #11718601C22semidirect
161. #11718598C22semidirect
162. #11718590C22semidirect
165. #11718331C22semidirect
166. #11718330C22semidirect
168. #11718329C22semidirect
170. #11718328C22semidirect
177. C13⋊#401C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718319C22semidirect
181. #11718319C22semidirect
182. #11718318C22semidirect
183. #11718316C22semidirect
184. #11718316C22semidirect
185. #11718313C22semidirect
186. #11718311C22semidirect
596. #2714D13semidirect
780. C2×#126C2×D13semidirect
791. C2×#121C2×D13semidirect
819. #397C2×D13semidirect
836. #394C2×D13semidirect
837. #394C2×D13semidirect
848. #392C2×D13semidirect
853. #390C2×D13semidirect
854. #390C2×D13semidirect
855. #390C2×D13semidirect
875. #388C2×D13semidirect
880. #387C2×D13semidirect
912. #385C2×D13semidirect
1425. C13#36758semidirect

Maximal subgroups

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

subgroupindex
#131231222
#131231152
#131227002
#131225022
#131224692
#131224512
#131224472
#131221582
#131221202
#131220572
#131219452
#131218282
#131214862
#131214582
#131213852
#131212662
#131211392
#131205472
#131192202
#131191672
#131190782
#131189682
#131183882
#131183752
#131183082
#131182912
#131174952
D13×#3862
C13×#27142
#3675813