Finite Group Databasebeta

← #16036902

Subgroups — #16036902

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#13123166C211yesmaximal, characteristic, complemented
2#13123156C211yesmaximal, characteristic, complemented
3#13123125C211yesmaximal, characteristic, complemented
4#13123115C211yesmaximal, characteristic, complemented
5#13121030C211yesmaximal, characteristic, complemented
6#13120843C211yesmaximal, characteristic, complemented
7#13120828C211yesmaximal, characteristic, complemented
8#13120054C211yesmaximal, characteristic, complemented
9#13119791C211yesmaximal, characteristic, complemented
10#13119761C211yesmaximal, characteristic, complemented
11#13119721C211yesmaximal, characteristic, complemented
12#13119686C211yesmaximal, characteristic, complemented
13#13119601C211yesmaximal, characteristic, complemented
14#13119557C211yesmaximal, characteristic, complemented
15#13119471C211yesmaximal, characteristic, complemented
16#13119017C211yesmaximal, characteristic, complemented
17#13118948C211yesmaximal, characteristic, complemented
18#13118837C211yesmaximal, characteristic, complemented
19#13118736C211yesmaximal, characteristic, complemented
20#13118388C211yesmaximal, characteristic, complemented
21#13118375C211yesmaximal, characteristic, complemented
22#13118306C211yesmaximal, characteristic, complemented
23#13118293C211yesmaximal, characteristic, complemented
24#13117630C211yesmaximal, characteristic, complemented
25#13117619C211yesmaximal, characteristic, complemented
26#13117603C211yesmaximal, characteristic, complemented
27#13117595C211yesmaximal, characteristic, complemented
28#13117352C211yesmaximal, characteristic, complemented
29#13117278C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2661C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C13×#121C2211yescharacteristic
35C2×#88193C2211yescharacteristic
36C2×#88192C2211yescharacteristic
37C2×#88192C2211yescharacteristic
38C2×#88192C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88191C2211yescharacteristic
43C2×#88189C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic, complemented
45C2×#88140C2211yescharacteristic
46C2×#88137C2211yescharacteristic
47C2×#88137C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×#88135C2211yescharacteristic
52C2×C22⋊C4×D13C2211yescharacteristic
53C2×C22⋊C4×D13C2211yescharacteristic
54C2×#88131C2211yescharacteristic, complemented
55C2×C42×D13C2211yescharacteristic
56C2×C42×D13C2211yescharacteristic
57C13×#398C2211yescharacteristic, complemented
58C13×#397C2211yescharacteristic, complemented
59C13×#394C2211yescharacteristic
60C13×#394C2211yescharacteristic
61C13×#394C2211yescharacteristic, complemented
62C13×#392C2211yescharacteristic
63C13×#392C2211yescharacteristic
64C13×#392C2211yescharacteristic, complemented
65C13×#390C2211yescharacteristic, complemented
66C13×#390C2211yescharacteristic, complemented
67C13×#388C2211yescharacteristic, complemented
68C13×#388C2211yescharacteristic, complemented
69C4×C13×C22⋊C4C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718883C2211yescharacteristic, complemented
72#11718882C2211yescharacteristic
73#11718882C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718882C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic, complemented
82#11718881C2211yescharacteristic, complemented
83#11718881C2211yescharacteristic, complemented
84#11718873C2211yescharacteristic
85#11718872C2211yescharacteristic
86C4×C22⋊Dic13C2211yescharacteristic
87#11718655C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718648C2211yescharacteristic
94#11718648C2211yescharacteristic
95#11718648C2211yescharacteristic
96#11718648C2211yescharacteristic
97#11718647C2211yescharacteristic, complemented
98#11718646C2211yescharacteristic, complemented
99#11718646C2211yescharacteristic, complemented
100#11718642C2211yescharacteristic, complemented
101#11718642C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718639C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107#11718622C2211yescharacteristic
108#11718622C2211yescharacteristic
109#11718620C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718619C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718618C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718614C2211yescharacteristic, complemented
126#11718614C2211yescharacteristic, complemented
127#11718613C2211yescharacteristic, complemented
128#11718612C2211yescharacteristic
129#11718612C2211yescharacteristic
130#11718612C2211yescharacteristic, complemented
131#11718612C2211yescharacteristic, complemented
132#11718612C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718611C2211yescharacteristic, complemented
137#11718610C2211yescharacteristic
138#11718610C2211yescharacteristic
139#11718609C2211yescharacteristic
140#11718609C2211yescharacteristic
141#11718609C2211yescharacteristic, complemented
142#11718606C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic, complemented
146#11718606C2211yescharacteristic, complemented
147#11718605C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic, complemented
149#11718604C2211yescharacteristic
150#11718604C2211yescharacteristic, complemented
151#11718603C2211yescharacteristic, complemented
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic, complemented
155C22⋊C4×Dic13C2211yescharacteristic, complemented
156C22⋊C4×Dic13C2211yescharacteristic, complemented
157C4×#6103C2211yescharacteristic
158C4×#6103C2211yescharacteristic
159#11718594C2211yescharacteristic, complemented
160#11718594C2211yescharacteristic, complemented
161#11718589C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718338C2211yescharacteristic
164#11718336C2211yescharacteristic
165#11718331C2211yescharacteristic
166#11718330C2211yescharacteristic
167#11718329C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718327C2211yescharacteristic
170#11718327C2211yescharacteristic
171#11718327C2211yescharacteristic
172#11718325C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175#11718322C2211yescharacteristic, complemented
176#11718322C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718309C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
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—24no—
217C13×#121—24no—
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×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
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
261#88193—24no—
262#88192—24no—
263#88192—42no—
264#88192—42no—
265#88192—42no—
266#88191—42no—
267#88191—42no—
268#88191—42no—
269#88189—42no—
270D4×Dic13—42no—
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×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
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
316C2×C4×Dic13C2311yescharacteristic
317#88140—24no—
318#88137—42no—
319#88137—42no—
320#88137—42no—
321#88135—24no—
322#88135—42no—
323#88135—42no—
324C22⋊C4×D13—24no—
325C22⋊C4×D13—24no—
326#88131—42no—
327C42×D13—42no—
328C42×D13—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#35056—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×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13#4114yes—
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
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—22no—
473C2×C4×D13—22no—
474C2×C4×D13—416no—
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—22no—
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—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C42×C13—41no—
505C42×C13—41no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13—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—41no—
537#6103—41no—
538#6103—41no—
539#6103—41no—
540#6103#4114yes—
541C4⋊Dic13—22no—
542C4⋊Dic13—22no—
543C4⋊Dic13—22no—
544C4⋊Dic13—41no—
545C4⋊Dic13—41no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552#6101—22no—
553#6101—22no—
554#6101—22no—
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—22no—
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#2661D1311yescharacteristic, complemented
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#2457—131no—
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×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13C2×#4112yes—
632C23×C13C2511yescharacteristic
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—28no—
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—
657D4×C13—82no—
658D4×C13—82no—
659D4×C13—82no—
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—44no—
690C2×C4×C13C2×#4112yes—
691C2×C4×C13C2×#4112yes—
692C2×C4×C13C2×#4112yes—
693C2×C4×C13C2×#4112yes—
694C22⋊D13—44no—
695C22⋊D13—44no—
696C22⋊D13—44no—
697C22⋊D13—82no—
698C22⋊D13—82no—
699C22⋊D13—82no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
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—21no—
739C2×Dic13—44no—
740C2×Dic13—44no—
741C2×Dic13—82no—
742C2×Dic13—82no—
743C2×Dic13C2×#4112yes—
744C2×Dic13C2×#4112yes—
745C2×Dic13H(5,𝔽2)12yes—
746C4×D13—28no—
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×#121C2×D1311yescharacteristic
767C2×#120—131no—
768C2×#120—131no—
769C2×#120—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×#117—131no—
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42—131no—
779#400—131no—
780#400—131no—
781#400—131no—
782#399—131no—
783#399—131no—
784#399—131no—
785#398—131no—
786#398—131no—
787#398—131no—
788#398—131no—
789#398C2×D1311yescharacteristic, complemented
790#397—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397C2×D1311yescharacteristic, complemented
795#396—131no—
796#396—131no—
797#396—131no—
798#396—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#394C2×D1311yescharacteristic
805#394C2×D1311yescharacteristic
806#394C2×D1311yescharacteristic, complemented
807#392—131no—
808#392C2×D1311yescharacteristic
809#392C2×D1311yescharacteristic
810#392C2×D1311yescharacteristic, complemented
811#390—131no—
812#390—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390C2×D1311yescharacteristic, complemented
818#390C2×D1311yescharacteristic, complemented
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#387—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#381—131no—
882#381—131no—
883#381—131no—
884#381—131no—
885#380—131no—
886#380—131no—
887#380—131no—
888#380—131no—
889#380—131no—
890#380—131no—
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×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13C22×#4111yescharacteristic
938C22×C13C22×#4111yescharacteristic
939C22×C13C22×#4111yescharacteristic
940C22×C13C2×H(5,𝔽2)11yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13#58511yescharacteristic
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—22no—
950C2×D13—22no—
951C2×D13—22no—
952C2×D13—22no—
953C2×D13—416no—
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—22no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970Dic13—22no—
971Dic13—22no—
972Dic13—22no—
973Dic13—41no—
974Dic13—41no—
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×D4C22×D1311yescharacteristic
992C22×D4C22×D1311yescharacteristic
993C22×D4C22×D1311yescharacteristic
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—131no—
1008C23×C4—131no—
1009C23×C4—264no—
1010C23×C4—522no—
1011C23×C4—522no—
1012C23×C4C22×D1311yescharacteristic
1013#123—24no—
1014#123—264no—
1015#123—522no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#121—24no—
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—264no—
1029C4×D4—522no—
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—264no—
1095C2×C22⋊C4—264no—
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
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#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
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—81no—
1170C2×C13#344411yescharacteristic
1171C2×C13C2×#54011yescharacteristic
1172C2×C13#345911yescharacteristic
1173C2×C13#349011yescharacteristic
1174C2×C13#349411yescharacteristic
1175C2×C13#351311yescharacteristic
1176C2×C13#351911yescharacteristic
1177D13—24no—
1178D13—42no—
1179C24—131no—
1180C24—131no—
1181C24—262no—
1182C24—262no—
1183C24—262no—
1184C24—262no—
1185C24—262no—
1186C24—521no—
1187C24—521no—
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—262no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—521no—
1223C2×D4—521no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—134no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
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—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—5216no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4#612914yes—
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—22no—
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—521no—
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—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—134no—
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—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C42—41no—
1370C42—41no—
1371C42—262no—
1372C42—262no—
1373C42—262no—
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—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—132no—
1411C23—132no—
1412C23—132no—
1413C23—132no—
1414C23—268no—
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—
1431C23C2×#612912yes—
1432C23C24×D1311yescharacteristic
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—524no—
1440D4—524no—
1441D4—524no—
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—44no—
1475C2×C4—132no—
1476C2×C4—132no—
1477C2×C4—132no—
1478C2×C4—268no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
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—524no—
1519C2×C4—524no—
1520C2×C4—524no—
1521C2×C4—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—1042no—
1528C2×C4—1042no—
1529C2×C4C2×#612912yes—
1530C2×C4C2×#612912yes—
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—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—134no—
1562C22—262no—
1563C22—262no—
1564C22—262no—
1565C22—262no—
1566C22—262no—
1567C22—262no—
1568C22—262no—
1569C22—262no—
1570C22—262no—
1571C22—5216no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22C22×#612911yescharacteristic
1577C22C2×#41×D1311yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22D13×H(5,𝔽2)11yescharacteristic
1580C22D13×H(5,𝔽2)11yescharacteristic
1581C22D13×H(5,𝔽2)11yescharacteristic
1582C22#1171965011yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—262no—
1595C4—262no—
1596C4—262no—
1597C4—521no—
1598C4—521no—
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—81no—
1612C2—264no—
1613C2—522no—
1614C2#1312813111yescharacteristic
1615C2D13×#54011yescharacteristic
1616C2#1312824711yescharacteristic
1617C2#1312852411yescharacteristic
1618C2#1312856811yescharacteristic
1619C2#1312877211yescharacteristic
1620C2#1312886611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2661C2
hypercenter#2661D13
hypocenterC13#35056
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. #13123166C2semidirect
2. #13123156C2semidirect
3. #13123125C2semidirect
4. #13123115C2semidirect
5. #13121030C2semidirect
6. #13120843C2semidirect
7. #13120828C2semidirect
8. #13120054C2semidirect
9. #13119791C2semidirect
10. #13119761C2semidirect
11. #13119721C2semidirect
12. #13119686C2semidirect
13. #13119601C2semidirect
14. #13119557C2semidirect
15. #13119471C2semidirect
16. #13119017C2semidirect
17. #13118948C2semidirect
18. #13118837C2semidirect
19. #13118736C2semidirect
20. #13118388C2semidirect
21. #13118375C2semidirect
22. #13118306C2semidirect
23. #13118293C2semidirect
24. #13117630C2semidirect
25. #13117619C2semidirect
26. #13117603C2semidirect
27. #13117595C2semidirect
28. #13117352C2semidirect
29. #13117278C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2661C2semidirect
44. C2×D4×Dic13C22semidirect
54. C2×#88131C22semidirect
57. C13×#398C22semidirect
58. C13×#397C22semidirect
61. C13×#394C22semidirect
64. C13×#392C22semidirect
65. C13×#390C22semidirect
66. C13×#390C22semidirect
67. C13×#388C22semidirect
68. C13×#388C22semidirect
71. #11718883C22semidirect
75. #11718882C22semidirect
81. #11718881C22semidirect
82. #11718881C22semidirect
83. #11718881C22semidirect
97. #11718647C22semidirect
98. #11718646C22semidirect
99. #11718646C22semidirect
100. #11718642C22semidirect
101. #11718642C22semidirect
102. #11718642C22semidirect
103. #11718642C22semidirect
104. #11718639C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. C4⋊C4×Dic13C22semidirect
125. #11718614C22semidirect
126. #11718614C22semidirect
127. #11718613C22semidirect
130. #11718612C22semidirect
131. #11718612C22semidirect
132. #11718612C22semidirect
133. #11718612C22semidirect
134. #11718612C22semidirect
135. #11718612C22semidirect
136. #11718611C22semidirect
141. #11718609C22semidirect
142. #11718606C22semidirect
143. #11718606C22semidirect
144. #11718606C22semidirect
145. #11718606C22semidirect
146. #11718606C22semidirect
147. #11718605C22semidirect
148. #11718605C22semidirect
150. #11718604C22semidirect
151. #11718603C22semidirect
154. C22⋊C4×Dic13C22semidirect
155. C22⋊C4×Dic13C22semidirect
156. C22⋊C4×Dic13C22semidirect
159. #11718594C22semidirect
160. #11718594C22semidirect
161. #11718589C22semidirect
162. #11718589C22semidirect
175. #11718322C22semidirect
176. #11718322C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718313C22semidirect
186. #11718309C22semidirect
578. #2661D13semidirect
789. #398C2×D13semidirect
794. #397C2×D13semidirect
806. #394C2×D13semidirect
810. #392C2×D13semidirect
817. #390C2×D13semidirect
818. #390C2×D13semidirect
841. #388C2×D13semidirect
842. #388C2×D13semidirect
1382. C13#35056semidirect

Maximal subgroups

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

subgroupindex
#131231662
#131231562
#131231252
#131231152
#131210302
#131208432
#131208282
#131200542
#131197912
#131197612
#131197212
#131196862
#131196012
#131195572
#131194712
#131190172
#131189482
#131188372
#131187362
#131183882
#131183752
#131183062
#131182932
#131176302
#131176192
#131176032
#131175952
#131173522
#131172782
C4×C22⋊C4×D132
C13×#26612
#3505613