Finite Group Databasebeta

← #16071278

Subgroups — #16071278

Order 3328.

2078 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#13123125C211yesmaximal, characteristic, complemented
2#13123119C211yesmaximal, characteristic, complemented
3#13122487C211yesmaximal, characteristic, complemented
4#13122486C211yesmaximal, characteristic, complemented
5#13122319C211yesmaximal, characteristic, complemented
6#13122229C211yesmaximal, characteristic, complemented
7#13122110C211yesmaximal, characteristic, complemented
8#13122065C211yesmaximal, characteristic, complemented
9#13122048C211yesmaximal, characteristic, complemented
10#13121976C211yesmaximal, characteristic, complemented
11#13121902C211yesmaximal, characteristic, complemented
12#13121589C211yesmaximal, characteristic, complemented
13#13121529C211yesmaximal, characteristic, complemented
14#13121453C211yesmaximal, characteristic, complemented
15#13121447C211yesmaximal, characteristic, complemented
16#13121277C211yesmaximal, characteristic, complemented
17#13121072C211yesmaximal, characteristic, complemented
18#13120617C211yesmaximal, characteristic, complemented
19#13120583C211yesmaximal, characteristic, complemented
20#13119765C211yesmaximal, characteristic, complemented
21#13119727C211yesmaximal, characteristic, complemented
22#13118556C211yesmaximal, characteristic, complemented
23#13118394C211yesmaximal, characteristic, complemented
24#13118373C211yesmaximal, characteristic, complemented
25#13118306C211yesmaximal, characteristic, complemented
26#13118303C211yesmaximal, characteristic, complemented
27#13118271C211yesmaximal, characteristic, complemented
28#13117540C211yesmaximal, characteristic, complemented
29#13117468C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2707C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#125C2211yescharacteristic, complemented
34C2×C13×#123C2211yescharacteristic
35C2×#88193C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88189C2211yescharacteristic
38C2×#88184C2211yescharacteristic
39C2×#88149C2211yescharacteristic
40C2×#88149C2211yescharacteristic
41C2×#88148C2211yescharacteristic
42C2×#88148C2211yescharacteristic
43C2×#88147C2211yescharacteristic
44C2×C4⋊C4×D13C2211yescharacteristic
45C2×C4⋊C4×D13C2211yescharacteristic
46C2×#88138C2211yescharacteristic
47C2×#88138C2211yescharacteristic
48C2×#88138C2211yescharacteristic, complemented
49C2×#88137C2211yescharacteristic
50C2×#88137C2211yescharacteristic
51C2×#88136C2211yescharacteristic
52C2×#88136C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C4×D52C2211yescharacteristic
57C13×#398C2211yescharacteristic, complemented
58C13×#397C2211yescharacteristic, complemented
59C13×#396C2211yescharacteristic
60C13×#396C2211yescharacteristic, complemented
61C13×#396C2211yescharacteristic, complemented
62C13×#394C2211yescharacteristic
63C13×#390C2211yescharacteristic
64C13×#389C2211yescharacteristic, complemented
65C13×#388C2211yescharacteristic
66C13×#388C2211yescharacteristic, complemented
67C13×#387C2211yescharacteristic, complemented
68C13×#385C2211yescharacteristic
69C13×#380C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718872C2211yescharacteristic
72#11718871C2211yescharacteristic
73#11718655C2211yescharacteristic
74#11718655C2211yescharacteristic, complemented
75#11718655C2211yescharacteristic, complemented
76#11718655C2211yescharacteristic, complemented
77#11718655C2211yescharacteristic, complemented
78#11718654C2211yescharacteristic, complemented
79#11718654C2211yescharacteristic, complemented
80#11718653C2211yescharacteristic
81#11718653C2211yescharacteristic, complemented
82#11718653C2211yescharacteristic, complemented
83#11718652C2211yescharacteristic
84#11718652C2211yescharacteristic
85#11718652C2211yescharacteristic, complemented
86#11718652C2211yescharacteristic, complemented
87#11718651C2211yescharacteristic
88#11718651C2211yescharacteristic, complemented
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718650C2211yescharacteristic
93#11718650C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718649C2211yescharacteristic
97#11718648C2211yescharacteristic
98#11718648C2211yescharacteristic
99#11718648C2211yescharacteristic
100#11718648C2211yescharacteristic
101#11718648C2211yescharacteristic, complemented
102#11718646C2211yescharacteristic, complemented
103#11718645C2211yescharacteristic, complemented
104#11718645C2211yescharacteristic, complemented
105#11718645C2211yescharacteristic, complemented
106#11718645C2211yescharacteristic, complemented
107#11718644C2211yescharacteristic, complemented
108#11718643C2211yescharacteristic, complemented
109#11718643C2211yescharacteristic, complemented
110#11718642C2211yescharacteristic, complemented
111#11718642C2211yescharacteristic, complemented
112#11718638C2211yescharacteristic, complemented
113#11718633C2211yescharacteristic, complemented
114#11718622C2211yescharacteristic
115#11718622C2211yescharacteristic
116#11718622C2211yescharacteristic, complemented
117#11718622C2211yescharacteristic, complemented
118#11718621C2211yescharacteristic
119#11718621C2211yescharacteristic
120#11718620C2211yescharacteristic
121#11718620C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic
123#11718619C2211yescharacteristic
124#11718619C2211yescharacteristic
125#11718619C2211yescharacteristic, complemented
126#11718618C2211yescharacteristic
127#11718618C2211yescharacteristic
128#11718618C2211yescharacteristic, complemented
129#11718617C2211yescharacteristic
130#11718617C2211yescharacteristic
131#11718617C2211yescharacteristic
132#11718617C2211yescharacteristic
133#11718617C2211yescharacteristic
134#11718617C2211yescharacteristic, complemented
135#11718616C2211yescharacteristic
136#11718614C2211yescharacteristic
137#11718613C2211yescharacteristic, complemented
138#11718611C2211yescharacteristic
139#11718611C2211yescharacteristic, complemented
140#11718611C2211yescharacteristic, complemented
141#11718610C2211yescharacteristic
142#11718609C2211yescharacteristic, complemented
143#11718607C2211yescharacteristic
144#11718606C2211yescharacteristic
145#11718605C2211yescharacteristic
146#11718604C2211yescharacteristic
147#11718604C2211yescharacteristic, complemented
148#11718601C2211yescharacteristic
149#11718601C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic, complemented
151#11718600C2211yescharacteristic
152C4×#6103C2211yescharacteristic
153#11718594C2211yescharacteristic, complemented
154#11718589C2211yescharacteristic, complemented
155#11718338C2211yescharacteristic
156#11718337C2211yescharacteristic
157#11718335C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic, complemented
163#11718328C2211yescharacteristic, complemented
164#11718328C2211yescharacteristic, complemented
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic
175#11718325C2211yescharacteristic, complemented
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178#11718321C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718312C2211yescharacteristic, complemented
186#11718311C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C22×C22⋊D13C2311yescharacteristic
191C22×C22⋊D13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C23×Dic13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×D52C2311yescharacteristic
203C22×C4×D13—42no—
204C22×C4×D13—42no—
205C22×C4×D13—42no—
206C22×C4×D13C2311yescharacteristic
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×#125—42no—
217C13×#123—42no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊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×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250#88193—42no—
251#88191—42no—
252#88189—42no—
253#88184—42no—
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311#88149—42no—
312#88149—42no—
313#88148—42no—
314#88148—42no—
315#88147—24no—
316C4⋊C4×D13—42no—
317C4⋊C4×D13—42no—
318#88138—24no—
319#88138—42no—
320#88138—42no—
321#88137—42no—
322#88137—42no—
323#88136—42no—
324#88136—42no—
325#88135—42no—
326C22⋊C4×D13—24no—
327C22⋊C4×D13—42no—
328C4×D52—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#36777—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C23×D13—22no—
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—41no—
378C23×D13—41no—
379C23×D13C2411yescharacteristic
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—41no—
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C2×C22⋊D13—22no—
403C2×C22⋊D13—22no—
404C2×C22⋊D13—22no—
405C2×C22⋊D13—22no—
406C2×C22⋊D13—22no—
407C2×C22⋊D13—22no—
408C2×C22⋊D13—22no—
409C2×C22⋊D13—41no—
410C2×C22⋊D13—41no—
411C2×C22⋊D13—41no—
412C2×C22⋊D13—41no—
413C2×C22⋊D13—41no—
414C2×C22⋊D13—41no—
415C2×C22⋊D13—41no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C22×Dic13—22no—
421C22×Dic13—41no—
422C22×Dic13—41no—
423C22×Dic13—41no—
424C22×Dic13—41no—
425C22×Dic13—41no—
426C22×Dic13C2411yescharacteristic
427C22×Dic13C2411yescharacteristic
428C22×Dic13C2411yescharacteristic
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C2×D52—22no—
439C2×D52—22no—
440C2×D52—22no—
441C2×D52—22no—
442C2×D52—22no—
443C2×D52—22no—
444C2×D52—22no—
445C2×D52—22no—
446C2×D52—22no—
447C2×D52—41no—
448C2×D52—41no—
449C2×D52—41no—
450C2×D52—41no—
451C2×D52—41no—
452C2×D52—41no—
453C2×C4×D13—22no—
454C2×C4×D13—22no—
455C2×C4×D13—22no—
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—41no—
464C2×C4×D13—41no—
465C2×C4×D13—41no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—416no—
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—22no—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C42×C13—41no—
508C42×C13—41no—
509C22⋊Dic13—22no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103—41no—
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—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554C4⋊Dic13—41no—
555C4⋊Dic13—41no—
556#6101—22no—
557#6101—22no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566#6101—41no—
567#6101—41no—
568#6101—41no—
569#6101—41no—
570C4×Dic13—22no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573#2849—131no—
574#2847—131no—
575#2780—131no—
576#2780—131no—
577#2768—131no—
578#2761—131no—
579#2753—131no—
580#2749—131no—
581#2748—131no—
582#2743—131no—
583#2738—131no—
584#2711—131no—
585#2707D1311yescharacteristic, complemented
586#2706—131no—
587#2701—131no—
588#2701—131no—
589#2688—131no—
590#2671—131no—
591#2623—131no—
592#2618—131no—
593#2539—131no—
594#2534—131no—
595#2442—131no—
596#2425—131no—
597#2424—131no—
598#2419—131no—
599#2418—131no—
600#2416—131no—
601#2325—131no—
602#2318—131no—
603C2×#385—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×C13H(5,𝔽2)12yes—
618C23×C13C2511yescharacteristic
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—28no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—21no—
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—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×D13H(5,𝔽2)12yes—
652C22×D13H(5,𝔽2)12yes—
653C22×D132−1+412yes—
654D4×C13—82no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
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—21no—
691C2×C4×C13—21no—
692C2×C4×C13—44no—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13H(5,𝔽2)12yes—
695C22⋊D13—44no—
696C22⋊D13—82no—
697C22⋊D13—82no—
698C22⋊D13—82no—
699C22⋊D13—82no—
700C22⋊D13—82no—
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—44no—
737C2×Dic13—82no—
738C2×Dic13C2×#4112yes—
739D52—44no—
740D52—44no—
741D52—82no—
742D52—82no—
743D52—82no—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—82no—
751C4×D13—82no—
752C4×D13—82no—
753C4×D13—82no—
754C24×C4—131no—
755C2×#125C2×D1311yescharacteristic, complemented
756C2×#123—131no—
757C2×#123—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×#123—131no—
761C2×#123C2×D1311yescharacteristic
762C2×#121—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#120—131no—
770C2×#120—131no—
771C2×#120—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C22×C4⋊C4—131no—
776C22×C4⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779#400—131no—
780#400—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#399—131no—
785#399—131no—
786#399—131no—
787#399—131no—
788#399—131no—
789#398—131no—
790#398—131no—
791#398—131no—
792#398—131no—
793#398—131no—
794#398—131no—
795#398—131no—
796#398C2×D1311yescharacteristic, complemented
797#397—131no—
798#397—131no—
799#397—131no—
800#397—131no—
801#397—131no—
802#397C2×D1311yescharacteristic, complemented
803#396—131no—
804#396—131no—
805#396—131no—
806#396—131no—
807#396—131no—
808#396—131no—
809#396—131no—
810#396C2×D1311yescharacteristic
811#396C2×D1311yescharacteristic, complemented
812#396C2×D1311yescharacteristic, complemented
813#394—131no—
814#394—131no—
815#394—131no—
816#394—131no—
817#394—131no—
818#394—131no—
819#394—131no—
820#394—131no—
821#394—131no—
822#394—131no—
823#394C2×D1311yescharacteristic
824#392—131no—
825#392—131no—
826#392—131no—
827#390—131no—
828#390—131no—
829#390—131no—
830#390—131no—
831#390—131no—
832#390C2×D1311yescharacteristic
833#389—131no—
834#389—131no—
835#389—131no—
836#389C2×D1311yescharacteristic, complemented
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#388C2×D1311yescharacteristic
846#388C2×D1311yescharacteristic, complemented
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387C2×D1311yescharacteristic, complemented
853#386—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#385—131no—
873#385—131no—
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#385—131no—
887#385—131no—
888#385C2×D1311yescharacteristic
889#383—131no—
890#382—131no—
891#382—131no—
892#381—131no—
893#381—131no—
894#381—131no—
895#381—131no—
896#381—131no—
897#380—131no—
898#380—131no—
899#380—131no—
900#380—131no—
901#380—131no—
902#380—131no—
903#380—131no—
904#380C2×D1311yescharacteristic
905#379—131no—
906C4×C22⋊C4—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×C13C22×#4111yescharacteristic
924C22×C13C2×H(5,𝔽2)11yescharacteristic
925C22×C13C2×H(5,𝔽2)11yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C22×C13C2×2−1+411yescharacteristic
929C22×C13#58511yescharacteristic
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—416no—
940C2×D13—41no—
941C2×D13—41no—
942C2×D13—41no—
943C2×D13—41no—
944C2×D13—41no—
945C2×D13—41no—
946C2×D13—41no—
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—41no—
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—
971C4×C13—41no—
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×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
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—522no—
1010C23×C4—522no—
1011C23×C4—522no—
1012C23×C4C22×D1311yescharacteristic
1013#125—42no—
1014#123—42no—
1015#123—522no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#123—522no—
1020#121—264no—
1021#121—522no—
1022#121—522no—
1023#121—522no—
1024#121—522no—
1025#121—522no—
1026#121—522no—
1027#120—522no—
1028#120—522no—
1029#120—522no—
1030C4×D4—264no—
1031C4×D4—522no—
1032C4×D4—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⋊C4—131no—
1055C2×C4⋊C4—522no—
1056C2×C4⋊C4—522no—
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C4⋊C4C22×D1311yescharacteristic
1061C2×C4⋊C4C22×D1311yescharacteristic
1062C2×C4⋊C4C22×D1311yescharacteristic
1063C2×C4⋊C4C22×D1311yescharacteristic
1064C2×C4⋊C4C22×D1311yescharacteristic
1065C2×C4⋊C4C22×D1311yescharacteristic
1066C2×C4⋊C4C22×D1311yescharacteristic
1067C2×C4⋊C4C22×D1311yescharacteristic
1068C2×C4⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—264no—
1109C2×C22⋊C4—522no—
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C22⋊C4C22×D1311yescharacteristic
1118C2×C22⋊C4C22×D1311yescharacteristic
1119C2×C22⋊C4C22×D1311yescharacteristic
1120C2×C22⋊C4C22×D1311yescharacteristic
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
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#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×C13C2×#54011yescharacteristic
1169C2×C13#349211yescharacteristic
1170C2×C13#350511yescharacteristic
1171C2×C13#353211yescharacteristic
1172C2×C13#353411yescharacteristic
1173C2×C13#353511yescharacteristic
1174C2×C13#353611yescharacteristic
1175D13—24no—
1176D13—42no—
1177D13—81no—
1178D13—81no—
1179C24—131no—
1180C24—131no—
1181C24—131no—
1182C24—131no—
1183C24—262no—
1184C24—262no—
1185C24—262no—
1186C24—262no—
1187C24—262no—
1188C24—521no—
1189C24—521no—
1190C24C23×D1311yescharacteristic
1191C24C23×D1311yescharacteristic
1192C2×D4—22no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—262no—
1196C2×D4—262no—
1197C2×D4—262no—
1198C2×D4—262no—
1199C2×D4—262no—
1200C2×D4—262no—
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—521no—
1212C2×D4—521no—
1213C2×D4—521no—
1214C2×D4—521no—
1215C2×D4—521no—
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—41no—
1231C22×C4—131no—
1232C22×C4—134no—
1233C22×C4—131no—
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—262no—
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—521no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
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—521no—
1274C22×C4—5216no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4C23×D1311yescharacteristic
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—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—262no—
1306C4⋊C4—262no—
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—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
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—521no—
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—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C42—41no—
1378C42—41no—
1379C42—262no—
1380C42—521no—
1381C42—521no—
1382C13#3677711yescharacteristic, 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—132no—
1397C23—132no—
1398C23—132no—
1399C23—132no—
1400C23—268no—
1401C23—261no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
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#8825612yes—
1432C23C24×D1311yescharacteristic
1433D4—82no—
1434D4—524no—
1435D4—524no—
1436D4—524no—
1437D4—1042no—
1438D4—1042no—
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—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—132no—
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—261no—
1519C2×C4—524no—
1520C2×C4—524no—
1521C2×C4—524no—
1522C2×C4—524no—
1523C2×C4—524no—
1524C2×C4—524no—
1525C2×C4—524no—
1526C2×C4—1042no—
1527C2×C4—1042no—
1528C2×C4—1042no—
1529C2×C4—1042no—
1530C2×C4—1042no—
1531C2×C4#8825112yes—
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—134no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—5216no—
1558C22—521no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
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×#8825611yescharacteristic
1579C22D13×H(5,𝔽2)11yescharacteristic
1580C22D13×H(5,𝔽2)11yescharacteristic
1581C22D13×2−1+411yescharacteristic
1582C22#1171965211yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
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—264no—
1611C2—522no—
1612C2—1041no—
1613C2—1041no—
1614C2D13×#54011yescharacteristic
1615C2#1312853611yescharacteristic
1616C2#1312867211yescharacteristic
1617C2#1312898511yescharacteristic
1618C2#1312902411yescharacteristic
1619C2#1312904711yescharacteristic
1620C2#1312905411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2707C2
hypercenter#2707D13
hypocenterC13#36777
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2707

Complements

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

NH ≅ G/Ntype
1. #13123125C2semidirect
2. #13123119C2semidirect
3. #13122487C2semidirect
4. #13122486C2semidirect
5. #13122319C2semidirect
6. #13122229C2semidirect
7. #13122110C2semidirect
8. #13122065C2semidirect
9. #13122048C2semidirect
10. #13121976C2semidirect
11. #13121902C2semidirect
12. #13121589C2semidirect
13. #13121529C2semidirect
14. #13121453C2semidirect
15. #13121447C2semidirect
16. #13121277C2semidirect
17. #13121072C2semidirect
18. #13120617C2semidirect
19. #13120583C2semidirect
20. #13119765C2semidirect
21. #13119727C2semidirect
22. #13118556C2semidirect
23. #13118394C2semidirect
24. #13118373C2semidirect
25. #13118306C2semidirect
26. #13118303C2semidirect
27. #13118271C2semidirect
28. #13117540C2semidirect
29. #13117468C2semidirect
30. D13×#385C2semidirect
31. C13×#2707C2semidirect
33. C2×C13×#125C22semidirect
48. C2×#88138C22semidirect
57. C13×#398C22semidirect
58. C13×#397C22semidirect
60. C13×#396C22semidirect
61. C13×#396C22semidirect
64. C13×#389C22semidirect
66. C13×#388C22semidirect
67. C13×#387C22semidirect
74. #11718655C22semidirect
75. #11718655C22semidirect
76. #11718655C22semidirect
77. #11718655C22semidirect
78. #11718654C22semidirect
79. #11718654C22semidirect
81. #11718653C22semidirect
82. #11718653C22semidirect
85. #11718652C22semidirect
86. #11718652C22semidirect
88. #11718651C22semidirect
101. #11718648C22semidirect
102. #11718646C22semidirect
103. #11718645C22semidirect
104. #11718645C22semidirect
105. #11718645C22semidirect
106. #11718645C22semidirect
107. #11718644C22semidirect
108. #11718643C22semidirect
109. #11718643C22semidirect
110. #11718642C22semidirect
111. #11718642C22semidirect
112. #11718638C22semidirect
113. #11718633C22semidirect
116. #11718622C22semidirect
117. #11718622C22semidirect
121. #11718620C22semidirect
125. #11718619C22semidirect
128. #11718618C22semidirect
134. #11718617C22semidirect
137. #11718613C22semidirect
139. #11718611C22semidirect
140. #11718611C22semidirect
142. #11718609C22semidirect
147. #11718604C22semidirect
149. #11718601C22semidirect
150. #11718601C22semidirect
153. #11718594C22semidirect
154. #11718589C22semidirect
157. #11718335C22semidirect
158. #11718330C22semidirect
162. #11718329C22semidirect
163. #11718328C22semidirect
164. #11718328C22semidirect
173. #11718326C22semidirect
175. #11718325C22semidirect
178. #11718321C22semidirect
179. #11718319C22semidirect
180. #11718319C22semidirect
181. #11718318C22semidirect
182. #11718318C22semidirect
183. #11718316C22semidirect
184. #11718315C22semidirect
185. #11718312C22semidirect
186. #11718311C22semidirect
585. #2707D13semidirect
755. C2×#125C2×D13semidirect
796. #398C2×D13semidirect
802. #397C2×D13semidirect
811. #396C2×D13semidirect
812. #396C2×D13semidirect
836. #389C2×D13semidirect
846. #388C2×D13semidirect
852. #387C2×D13semidirect
1382. C13#36777semidirect

Maximal subgroups

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

subgroupindex
#131231252
#131231192
#131224872
#131224862
#131223192
#131222292
#131221102
#131220652
#131220482
#131219762
#131219022
#131215892
#131215292
#131214532
#131214472
#131212772
#131210722
#131206172
#131205832
#131197652
#131197272
#131185562
#131183942
#131183732
#131183062
#131183032
#131182712
#131175402
#131174682
D13×#3852
C13×#27072
#3677713