Finite Group Databasebeta

← #16036907

Subgroups — #16036907

Order 3328.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123163C211yesmaximal, characteristic, complemented
2#13123156C211yesmaximal, characteristic, complemented
3#13123125C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121031C211yesmaximal, characteristic, complemented
6#13120961C211yesmaximal, characteristic, complemented
7#13120838C211yesmaximal, characteristic, complemented
8#13120821C211yesmaximal, characteristic, complemented
9#13120056C211yesmaximal, characteristic, complemented
10#13119799C211yesmaximal, characteristic, complemented
11#13119761C211yesmaximal, characteristic, complemented
12#13119727C211yesmaximal, characteristic, complemented
13#13119681C211yesmaximal, characteristic, complemented
14#13119612C211yesmaximal, characteristic, complemented
15#13119556C211yesmaximal, characteristic, complemented
16#13119470C211yesmaximal, characteristic, complemented
17#13119028C211yesmaximal, characteristic, complemented
18#13118943C211yesmaximal, characteristic, complemented
19#13118836C211yesmaximal, characteristic, complemented
20#13118384C211yesmaximal, characteristic, complemented
21#13118371C211yesmaximal, characteristic, complemented
22#13118310C211yesmaximal, characteristic, complemented
23#13118297C211yesmaximal, characteristic, complemented
24#13117627C211yesmaximal, characteristic, complemented
25#13117622C211yesmaximal, characteristic, complemented
26#13117602C211yesmaximal, characteristic, complemented
27#13117598C211yesmaximal, characteristic, complemented
28C4×#88192C211yesmaximal, characteristic, complemented
29#13117274C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2457C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic, complemented
35C2×#88193C2211yescharacteristic
36C2×#88192C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88189C2211yescharacteristic
40C2×#88184C2211yescharacteristic
41C2×#88183C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×#88148C2211yescharacteristic
45C2×#88147C2211yescharacteristic
46C2×#88146C2211yescharacteristic, complemented
47C2×#88138C2211yescharacteristic
48C2×#88138C2211yescharacteristic
49C2×#88138C2211yescharacteristic
50C2×#88137C2211yescharacteristic
51C2×#88137C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic
57C13×#400C2211yescharacteristic, complemented
58C13×#396C2211yescharacteristic
59C13×#394C2211yescharacteristic, complemented
60C13×#392C2211yescharacteristic
61C13×#388C2211yescharacteristic, complemented
62C13×#388C2211yescharacteristic, complemented
63C13×#387C2211yescharacteristic, complemented
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#386C2211yescharacteristic
67C13×#381C2211yescharacteristic, complemented
68C13×#380C2211yescharacteristic, complemented
69C4×C13×C22⋊C4C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718884C2211yescharacteristic
72#11718884C2211yescharacteristic, complemented
73#11718883C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718882C2211yescharacteristic
76#11718882C2211yescharacteristic, complemented
77#11718874C2211yescharacteristic
78#11718874C2211yescharacteristic, complemented
79#11718872C2211yescharacteristic
80#11718871C2211yescharacteristic, complemented
81C4×C22⋊Dic13C2211yescharacteristic
82C4×C22⋊Dic13C2211yescharacteristic, complemented
83C4×C22⋊Dic13C2211yescharacteristic, complemented
84#11718655C2211yescharacteristic
85#11718655C2211yescharacteristic, complemented
86#11718652C2211yescharacteristic
87#11718651C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718648C2211yescharacteristic
93#11718645C2211yescharacteristic, complemented
94#11718644C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718642C2211yescharacteristic, complemented
97#11718641C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718634C2211yescharacteristic, complemented
100#11718633C2211yescharacteristic, complemented
101#11718622C2211yescharacteristic
102#11718622C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718620C2211yescharacteristic, complemented
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718618C2211yescharacteristic
108#11718618C2211yescharacteristic, complemented
109#11718618C2211yescharacteristic, complemented
110#11718617C2211yescharacteristic
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic, complemented
119#11718617C2211yescharacteristic, complemented
120#11718616C2211yescharacteristic
121#11718614C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718612C2211yescharacteristic, complemented
125#11718610C2211yescharacteristic
126#11718610C2211yescharacteristic
127#11718609C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718606C2211yescharacteristic
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718604C2211yescharacteristic
138#11718603C2211yescharacteristic
139C22⋊C4×Dic13C2211yescharacteristic
140C22⋊C4×Dic13C2211yescharacteristic
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic
145C4×C4⋊Dic13C2211yescharacteristic, complemented
146#11718594C2211yescharacteristic, complemented
147#11718338C2211yescharacteristic
148#11718336C2211yescharacteristic
149#11718335C2211yescharacteristic, complemented
150#11718333C2211yescharacteristic
151#11718331C2211yescharacteristic, complemented
152#11718330C2211yescharacteristic
153#11718330C2211yescharacteristic
154#11718330C2211yescharacteristic, complemented
155#11718330C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718328C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic, complemented
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718325C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172#11718321C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718309C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×C4×D13—24no—
205C22×C4×D13—42no—
206C22×C4×D13—42no—
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C13×#123—42no—
217C4×D4×C13—42no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊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×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252#88193—24no—
253#88192—24no—
254#88191—42no—
255#88191—42no—
256#88189—24no—
257#88184—24no—
258#88183—24no—
259C4×C22⋊D13—42no—
260C4×C22⋊D13—42no—
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×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316#88148—42no—
317#88147—24no—
318#88146—42no—
319#88138—42no—
320#88138—42no—
321#88138—42no—
322#88137—42no—
323#88137—42no—
324#88136—42no—
325C22⋊C4×D13—24no—
326C22⋊C4×D13—24no—
327C42×D13—42no—
328C42×D13—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#35056—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
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—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
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—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C22×Dic13—41no—
435C22×Dic13—41no—
436C22×Dic13#4114yes—
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—41no—
455C2×D52—41no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
460C2×C4×D13—22no—
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—22no—
471C2×C4×D13—22no—
472C2×C4×D13—416no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13#4114yes—
484C13×C4⋊C4—22no—
485C13×C4⋊C4—22no—
486C13×C4⋊C4—41no—
487C13×C4⋊C4—41no—
488C13×C4⋊C4—41no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C42×C13—22no—
502C42×C13—41no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
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—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103—41no—
536#6103—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103#4114yes—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547#6101—22no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562C4×Dic13—22no—
563C4×Dic13—22no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573#2854—131no—
574#2853—131no—
575#2849—131no—
576#2847—131no—
577#2667—131no—
578#2661—131no—
579#2649—131no—
580#2648—131no—
581#2569—131no—
582#2543—131no—
583#2539—131no—
584#2534—131no—
585#2531—131no—
586#2526—131no—
587#2522—131no—
588#2516—131no—
589#2476—131no—
590#2471—131no—
591#2464—131no—
592#2457D1311yescharacteristic, complemented
593#2425—131no—
594#2424—131no—
595#2419—131no—
596#2418—131no—
597#2335—131no—
598#2335—131no—
599#2333—131no—
600#2333—131no—
601C4×#121—131no—
602#2290—131no—
603C2×C4×C22⋊C4—131no—
604C23×C13—21no—
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×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13C2×#4112yes—
625C23×C13C2511yescharacteristic
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—28no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13C2×#4112yes—
651C22×D13C2×#4112yes—
652C22×D13H(5,𝔽2)12yes—
653C22×D13H(5,𝔽2)12yes—
654D4×C13—44no—
655D4×C13—82no—
656D4×C13—82no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—44no—
691C2×C4×C13—82no—
692C2×C4×C13—82no—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13H(5,𝔽2)12yes—
696C22⋊D13—44no—
697C22⋊D13—44no—
698C22⋊D13—82no—
699C22⋊D13—82no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—44no—
739C2×Dic13C2×#4112yes—
740C2×Dic13C2×#4112yes—
741C2×Dic13C2×#4112yes—
742C2×Dic13C2×#4112yes—
743D52—44no—
744D52—82no—
745C4×D13—28no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C24×C4—131no—
755C2×#123—131no—
756C2×#123—131no—
757C2×#123—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×#123C2×D1311yescharacteristic
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#121—131no—
767C2×#120—131no—
768C2×#120—131no—
769C2×#120—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4C2×D1311yescharacteristic, complemented
774C2×#117—131no—
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42—131no—
779#400—131no—
780#400—131no—
781#400C2×D1311yescharacteristic, complemented
782#399—131no—
783#399—131no—
784#399—131no—
785#398—131no—
786#398—131no—
787#398—131no—
788#398—131no—
789#398—131no—
790#397—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#396—131no—
796#396—131no—
797#396—131no—
798#396C2×D1311yescharacteristic
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394C2×D1311yescharacteristic, complemented
807#392—131no—
808#392—131no—
809#392—131no—
810#392C2×D1311yescharacteristic
811#390—131no—
812#390—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#389—131no—
820#389—131no—
821#389—131no—
822#389—131no—
823#388—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#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#387C2×D1311yescharacteristic, complemented
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#386C2×D1311yescharacteristic
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#381—131no—
882#381—131no—
883#381—131no—
884#381C2×D1311yescharacteristic, complemented
885#380—131no—
886#380—131no—
887#380—131no—
888#380—131no—
889#380—131no—
890#380C2×D1311yescharacteristic, complemented
891#379—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4C2×D1311yescharacteristic
906#376—131no—
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
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#54014yes—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971Dic13—22no—
972Dic13—22no—
973Dic13—22no—
974Dic13—22no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984C25—131no—
985C22×D4—131no—
986C22×D4—131no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4C22×D1311yescharacteristic
995C22×D4C22×D1311yescharacteristic
996C22×D4C22×D1311yescharacteristic
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—264no—
1008C23×C4—522no—
1009C23×C4—522no—
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#123—42no—
1014#123—264no—
1015#123—264no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#121—264no—
1020#121—264no—
1021#121—264no—
1022#121—522no—
1023#121—522no—
1024#121—522no—
1025#120—522no—
1026#120—522no—
1027#120—522no—
1028C4×D4—42no—
1029C4×D4—264no—
1030C4×D4—522no—
1031C4×D4—522no—
1032#117—522no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
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×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—264no—
1098C2×C22⋊C4—264no—
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—522no—
1123C2×C42—522no—
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—42no—
1167C2×C13—81no—
1168C2×C13—81no—
1169C2×C13#344411yescharacteristic
1170C2×C13C2×#54011yescharacteristic
1171C2×C13#345911yescharacteristic
1172C2×C13#349011yescharacteristic
1173C2×C13#349411yescharacteristic
1174C2×C13#351311yescharacteristic
1175C2×C13#351911yescharacteristic
1176D13—24no—
1177D13—42no—
1178D13—81no—
1179C24—131no—
1180C24—131no—
1181C24—131no—
1182C24—262no—
1183C24—262no—
1184C24—262no—
1185C24—262no—
1186C24—262no—
1187C24—521no—
1188C24—521no—
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—262no—
1202C2×D4—262no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—262no—
1209C2×D4—262no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—521no—
1217C2×D4—521no—
1218C2×D4—521no—
1219C2×D4—521no—
1220C2×D4—521no—
1221C2×D4—521no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—134no—
1242C22×C4—134no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—5216no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—262no—
1304C4⋊C4—262no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—134no—
1332C22⋊C4—262no—
1333C22⋊C4—262no—
1334C22⋊C4—262no—
1335C22⋊C4—262no—
1336C22⋊C4—262no—
1337C22⋊C4—262no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C42—22no—
1370C42—41no—
1371C42—262no—
1372C42—262no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C13#3505611yescharacteristic, complemented, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
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—261no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—524no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23—524no—
1430C23—524no—
1431C23#41×D1312yes—
1432C23C24×D1311yescharacteristic
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—524no—
1437D4—524no—
1438D4—524no—
1439D4—1042no—
1440D4—1042no—
1441D4—1042no—
1442D4—1042no—
1443D4—1042no—
1444D4—1042no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—268no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4#8825112yes—
1531C2×C4#41×D1312yes—
1532C2×C4#41×D1312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—134no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—262no—
1564C22—5216no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22C2×#8825111yescharacteristic
1577C22C2×#41×D1311yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22#1171964811yescharacteristic
1581C22D13×H(5,𝔽2)11yescharacteristic
1582C22D13×H(5,𝔽2)11yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—262no—
1596C4—262no—
1597C4—262no—
1598C4—262no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C2—42no—
1609C2—81no—
1610C2—81no—
1611C2—264no—
1612C2—522no—
1613C2—1041no—
1614C2#1312813011yescharacteristic
1615C2D13×#54011yescharacteristic
1616C2#1312824311yescharacteristic
1617C2#1312851811yescharacteristic
1618C2#1312856211yescharacteristic
1619C2#1312878311yescharacteristic
1620C2#1312886511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2457C2
hypercenter#2457D13
hypocenterC13#35056
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2457

Complements

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

NH ≅ G/Ntype
1. #13123163C2semidirect
2. #13123156C2semidirect
3. #13123125C2semidirect
4. #13123117C2semidirect
5. #13121031C2semidirect
6. #13120961C2semidirect
7. #13120838C2semidirect
8. #13120821C2semidirect
9. #13120056C2semidirect
10. #13119799C2semidirect
11. #13119761C2semidirect
12. #13119727C2semidirect
13. #13119681C2semidirect
14. #13119612C2semidirect
15. #13119556C2semidirect
16. #13119470C2semidirect
17. #13119028C2semidirect
18. #13118943C2semidirect
19. #13118836C2semidirect
20. #13118384C2semidirect
21. #13118371C2semidirect
22. #13118310C2semidirect
23. #13118297C2semidirect
24. #13117627C2semidirect
25. #13117622C2semidirect
26. #13117602C2semidirect
27. #13117598C2semidirect
28. C4×#88192C2semidirect
29. #13117274C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2457C2semidirect
34. C2×C4×D4×C13C22semidirect
46. C2×#88146C22semidirect
57. C13×#400C22semidirect
59. C13×#394C22semidirect
61. C13×#388C22semidirect
62. C13×#388C22semidirect
63. C13×#387C22semidirect
67. C13×#381C22semidirect
68. C13×#380C22semidirect
72. #11718884C22semidirect
76. #11718882C22semidirect
78. #11718874C22semidirect
80. #11718871C22semidirect
82. C4×C22⋊Dic13C22semidirect
83. C4×C22⋊Dic13C22semidirect
85. #11718655C22semidirect
93. #11718645C22semidirect
94. #11718644C22semidirect
95. #11718642C22semidirect
96. #11718642C22semidirect
97. #11718641C22semidirect
98. #11718639C22semidirect
99. #11718634C22semidirect
100. #11718633C22semidirect
104. #11718620C22semidirect
108. #11718618C22semidirect
109. #11718618C22semidirect
118. #11718617C22semidirect
119. #11718617C22semidirect
121. #11718614C22semidirect
122. #11718613C22semidirect
123. #11718613C22semidirect
124. #11718612C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. #11718605C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
145. C4×C4⋊Dic13C22semidirect
146. #11718594C22semidirect
149. #11718335C22semidirect
151. #11718331C22semidirect
154. #11718330C22semidirect
155. #11718330C22semidirect
164. #11718327C22semidirect
172. #11718321C22semidirect
173. #11718321C22semidirect
174. #11718318C22semidirect
175. #11718318C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718313C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718310C22semidirect
184. #11718309C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
592. #2457D13semidirect
773. C2×C4×D4C2×D13semidirect
781. #400C2×D13semidirect
806. #394C2×D13semidirect
841. #388C2×D13semidirect
842. #388C2×D13semidirect
854. #387C2×D13semidirect
884. #381C2×D13semidirect
890. #380C2×D13semidirect
1382. C13#35056semidirect

Maximal subgroups

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

subgroupindex
#131231632
#131231562
#131231252
#131231172
#131210312
#131209612
#131208382
#131208212
#131200562
#131197992
#131197612
#131197272
#131196812
#131196122
#131195562
#131194702
#131190282
#131189432
#131188362
#131183842
#131183712
#131183102
#131182972
#131176272
#131176222
#131176022
#131175982
C4×#881922
#131172742
C4×C22⋊C4×D132
C13×#24572
#3505613