Finite Group Databasebeta

← #16036835

Subgroups — #16036835

Order 3328.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123150C211yesmaximal, characteristic, complemented
2#13123140C211yesmaximal, characteristic, complemented
3#13123131C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121010C211yesmaximal, characteristic, complemented
6#13120968C211yesmaximal, characteristic, complemented
7#13120899C211yesmaximal, characteristic, complemented
8#13120824C211yesmaximal, characteristic, complemented
9#13120175C211yesmaximal, characteristic, complemented
10#13120139C211yesmaximal, characteristic, complemented
11#13120109C211yesmaximal, characteristic, complemented
12#13120084C211yesmaximal, characteristic, complemented
13#13119962C211yesmaximal, characteristic, complemented
14#13119942C211yesmaximal, characteristic, complemented
15#13119907C211yesmaximal, characteristic, complemented
16#13119903C211yesmaximal, characteristic, complemented
17#13119403C211yesmaximal, characteristic, complemented
18#13118958C211yesmaximal, characteristic, complemented
19#13118593C211yesmaximal, characteristic, complemented
20#13118509C211yesmaximal, characteristic, complemented
21#13118445C211yesmaximal, characteristic, complemented
22#13118377C211yesmaximal, characteristic, complemented
23#13118220C211yesmaximal, characteristic, complemented
24#13118153C211yesmaximal, characteristic, complemented
25#13117620C211yesmaximal, characteristic, complemented
26#13117596C211yesmaximal, characteristic, complemented
27#13117596C211yesmaximal, characteristic, complemented
28C4×#88148C211yesmaximal, characteristic, complemented
29#13117322C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2337C211yesmaximal, characteristic, complemented
32C22×#6127C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#124C2211yescharacteristic
35C2×#88201C2211yescharacteristic, complemented
36C2×#88200C2211yescharacteristic
37C2×#88193C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88149C2211yescharacteristic
40C2×#88148C2211yescharacteristic
41C2×#88148C2211yescharacteristic
42C2×#88148C2211yescharacteristic
43C2×#88138C2211yescharacteristic
44C2×#88138C2211yescharacteristic
45C2×#88138C2211yescharacteristic
46C2×#88136C2211yescharacteristic
47C2×#88136C2211yescharacteristic
48C2×C22⋊C4×D13C2211yescharacteristic
49C2×C22⋊C4×D13C2211yescharacteristic
50C2×#88133C2211yescharacteristic, complemented
51C2×C4×D52C2211yescharacteristic
52C2×#88126C2211yescharacteristic
53C2×C42×D13C2211yescharacteristic
54C2×C42×D13C2211yescharacteristic
55C13×#391C2211yescharacteristic, complemented
56C13×#391C2211yescharacteristic, complemented
57C13×#388C2211yescharacteristic
58C13×#388C2211yescharacteristic
59C13×#388C2211yescharacteristic, complemented
60C13×#388C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#385C2211yescharacteristic
64C13×#385C2211yescharacteristic, complemented
65C13×#383C2211yescharacteristic, complemented
66C4×C13×C4⋊C4C2211yescharacteristic, complemented
67C4×C13×C22⋊C4C2211yescharacteristic
68C4×C13×C22⋊C4C2211yescharacteristic, complemented
69#11718892C2211yescharacteristic
70#11718890C2211yescharacteristic, complemented
71#11718884C2211yescharacteristic
72#11718883C2211yescharacteristic
73#11718874C2211yescharacteristic
74#11718874C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic, complemented
77C4×C22⋊Dic13C2211yescharacteristic
78C4×C22⋊Dic13C2211yescharacteristic, complemented
79#11718655C2211yescharacteristic
80#11718654C2211yescharacteristic, complemented
81#11718651C2211yescharacteristic
82#11718651C2211yescharacteristic, complemented
83#11718650C2211yescharacteristic
84#11718650C2211yescharacteristic
85#11718650C2211yescharacteristic, complemented
86#11718644C2211yescharacteristic, complemented
87#11718642C2211yescharacteristic, complemented
88#11718642C2211yescharacteristic, complemented
89#11718640C2211yescharacteristic, complemented
90#11718638C2211yescharacteristic, complemented
91#11718622C2211yescharacteristic
92#11718622C2211yescharacteristic
93#11718622C2211yescharacteristic
94#11718621C2211yescharacteristic
95#11718621C2211yescharacteristic, complemented
96#11718620C2211yescharacteristic
97#11718620C2211yescharacteristic, complemented
98#11718620C2211yescharacteristic, complemented
99#11718619C2211yescharacteristic
100#11718618C2211yescharacteristic
101#11718618C2211yescharacteristic
102#11718618C2211yescharacteristic, complemented
103#11718618C2211yescharacteristic, complemented
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic, complemented
111#11718616C2211yescharacteristic
112#11718614C2211yescharacteristic, complemented
113#11718613C2211yescharacteristic
114#11718612C2211yescharacteristic
115#11718612C2211yescharacteristic, complemented
116#11718609C2211yescharacteristic
117#11718608C2211yescharacteristic
118#11718607C2211yescharacteristic
119#11718606C2211yescharacteristic, complemented
120#11718603C2211yescharacteristic
121C22⋊C4×Dic13C2211yescharacteristic
122C22⋊C4×Dic13C2211yescharacteristic
123#11718601C2211yescharacteristic
124#11718601C2211yescharacteristic, complemented
125#11718600C2211yescharacteristic
126#11718600C2211yescharacteristic
127#11718600C2211yescharacteristic, complemented
128C4×#6103C2211yescharacteristic
129C4×#6103C2211yescharacteristic
130C4×#6103C2211yescharacteristic
131C4×#6103C2211yescharacteristic, complemented
132C4×#6103C2211yescharacteristic, complemented
133C4×#6103C2211yescharacteristic, complemented
134C4×#6103C2211yescharacteristic, complemented
135#11718594C2211yescharacteristic, complemented
136#11718594C2211yescharacteristic, complemented
137#11718594C2211yescharacteristic, complemented
138C4×#6101C2211yescharacteristic, complemented
139#11718337C2211yescharacteristic
140#11718336C2211yescharacteristic, complemented
141#11718335C2211yescharacteristic, complemented
142#11718334C2211yescharacteristic
143#11718334C2211yescharacteristic, complemented
144#11718333C2211yescharacteristic
145#11718332C2211yescharacteristic
146#11718330C2211yescharacteristic, complemented
147#11718330C2211yescharacteristic, complemented
148#11718330C2211yescharacteristic, complemented
149#11718330C2211yescharacteristic, complemented
150#11718330C2211yescharacteristic, complemented
151#11718330C2211yescharacteristic, complemented
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718328C2211yescharacteristic
155#11718328C2211yescharacteristic
156#11718327C2211yescharacteristic
157#11718327C2211yescharacteristic
158#11718326C2211yescharacteristic
159#11718326C2211yescharacteristic
160#11718326C2211yescharacteristic
161#11718326C2211yescharacteristic
162#11718326C2211yescharacteristic
163#11718326C2211yescharacteristic
164#11718326C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic
169#11718325C2211yescharacteristic
170#11718325C2211yescharacteristic
171#11718325C2211yescharacteristic, complemented
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174C13⋊#401C2211yescharacteristic, complemented
175#11718320C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C2×#6127—24no—
200C2×#6127—42no—
201C2×#6127—42no—
202C22×D52C2311yescharacteristic
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—42no—
209C22×C4×D13—42no—
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#124—24no—
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊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×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249#88201—42no—
250#88200—42no—
251#88193—42no—
252#88191—42no—
253C2×#6103C2311yescharacteristic
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×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309#88149—42no—
310#88148—24no—
311#88148—24no—
312#88148—42no—
313#88138—24no—
314#88138—24no—
315#88138—42no—
316#88136—42no—
317#88136—42no—
318C22⋊C4×D13—24no—
319C22⋊C4×D13—24no—
320#88133—42no—
321C4×D52—42no—
322#88126—42no—
323C42×D13—42no—
324C42×D13—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
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#35053—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×Q8×C13—22no—
384C2×Q8×C13—41no—
385C2×Q8×C13—41no—
386C2×D4×C13—22no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—41no—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C2×C22⋊D13—22no—
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—41no—
417C2×C22⋊D13—41no—
418C2×C22⋊D13—41no—
419C2×C22⋊D13—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—41no—
429C22×Dic13C2411yescharacteristic
430C22×Dic13C2411yescharacteristic
431C22×Dic13C2411yescharacteristic
432C22×Dic13C2411yescharacteristic
433C22×Dic13C2411yescharacteristic
434C22×Dic13C2411yescharacteristic
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441#6127—416no—
442C2×D52—22no—
443C2×D52—22no—
444C2×D52—22no—
445C2×D52—22no—
446C2×D52—22no—
447C2×D52—22no—
448C2×D52—22no—
449C2×D52—22no—
450C2×D52—22no—
451C2×D52—41no—
452C2×D52—41no—
453C2×D52—41no—
454C2×D52—41no—
455C2×D52—41no—
456C2×D52—41no—
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—22no—
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—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13#4114yes—
487C2×C4×D13#4114yescomplemented
488C2×Dic26—22no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C22⋊C4—22no—
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#4114yescomplemented
505C42×C13—22no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13—41no—
509C42×C13—41no—
510C22⋊Dic13—22no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
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—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—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549#6103—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—22no—
558#6101—22no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563#6101—41no—
564#6101—41no—
565#6101—41no—
566C4×Dic13—22no—
567C4×Dic13—22no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411—131no—
597#2404—131no—
598#2337D1311yescharacteristic, complemented
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
604C2×C4×C22⋊C4—131no—
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×C13C2×#4112yes—
619C23×C13C2511yescharacteristic
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—28no—
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—21no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13C2×#4112yes—
652C22×D13C2×#4112yes—
653C22×D13H(5,𝔽2)12yes—
654C22×D13H(5,𝔽2)12yes—
655Q8×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—21no—
691C2×C4×C13—21no—
692C2×C4×C13—44no—
693C2×C4×C13—44no—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C2×C4×C13C2×#4112yes—
698C22⋊D13—44no—
699C22⋊D13—44no—
700C22⋊D13—82no—
701C22⋊D13—82no—
702C22⋊D13—82no—
703C22⋊D13—82no—
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—44no—
738C2×Dic13C2×#4112yes—
739C2×Dic13C2×#4112yes—
740C2×Dic13H(5,𝔽2)12yes—
741D52—44no—
742D52—44no—
743D52—82no—
744D52—82no—
745D52—82no—
746C4×D13—28no—
747C4×D13—28no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—44no—
755C4×D13—82no—
756Dic26—44no—
757C22×#41—131no—
758C24×C4—131no—
759C2×#126—131no—
760C2×#124—131no—
761C2×#124C2×D1311yescharacteristic
762C2×#123—131no—
763C2×#123—131no—
764C2×#123—131no—
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×#117—131no—
776C22×C22⋊C4—131no—
777C22×C22⋊C4—131no—
778C22×C42—131no—
779C22×C42—131no—
780#401—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#398—131no—
785#398—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396—131no—
793#396—131no—
794#395—131no—
795#395—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391C2×D1311yescharacteristic, complemented
815#391C2×D1311yescharacteristic, complemented
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390—131no—
822#390—131no—
823#389—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#388C2×D1311yescharacteristic
838#388C2×D1311yescharacteristic
839#388C2×D1311yescharacteristic, complemented
840#388C2×D1311yescharacteristic, complemented
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#386—131no—
851#386—131no—
852#386—131no—
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#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385C2×D1311yescharacteristic
881#385C2×D1311yescharacteristic, complemented
882#383—131no—
883#383C2×D1311yescharacteristic, complemented
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381—131no—
889#380—131no—
890#380—131no—
891#380—131no—
892#379—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4C2×D1311yescharacteristic, complemented
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⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4C2×D1311yescharacteristic
909C4×C22⋊C4C2×D1311yescharacteristic, complemented
910C2×#95—131no—
911C2×#95—131no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
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×C13C22×#4111yescharacteristic
927C22×C13C22×#4111yescharacteristic
928C22×C13C22×#4111yescharacteristic
929C22×C13C2×H(5,𝔽2)11yescharacteristic
930C22×C13C2×H(5,𝔽2)11yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13#58511yescharacteristic
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—22no—
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—416no—
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—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13#53814yes—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—22no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25—131no—
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8C22×D1311yescharacteristic
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4—131no—
1004C22×D4C22×D1311yescharacteristic
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—264no—
1017C23×C4—522no—
1018C23×C4—522no—
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—24no—
1023#124—522no—
1024#123—264no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—522no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—522no—
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×C22⋊C4—131no—
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—131no—
1098C2×C22⋊C4—264no—
1099C2×C22⋊C4—264no—
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×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—522no—
1119C2×C42—522no—
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125#95—131no—
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#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
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—42no—
1170C2×C13—81no—
1171C2×C13#344411yescharacteristic
1172C2×C13C2×#53811yescharacteristic
1173C2×C13#346011yescharacteristic
1174C2×C13#349011yescharacteristic
1175C2×C13#349411yescharacteristic
1176C2×C13#351311yescharacteristic
1177C2×C13#351911yescharacteristic
1178D13—24no—
1179D13—42no—
1180D13—81no—
1181D13—81no—
1182C24—131no—
1183C24—131no—
1184C24—131no—
1185C24—131no—
1186C24—262no—
1187C24—262no—
1188C24—262no—
1189C24—262no—
1190C24—262no—
1191C24—521no—
1192C24—521no—
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—262no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—22no—
1203C2×D4—41no—
1204C2×D4—41no—
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—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—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—134no—
1248C22×C4—134no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
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—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—5216no—
1289C22×C4—521no—
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
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—
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—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—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#612714yescomplemented
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—262no—
1379C42—262no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
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—132no—
1401C23—132no—
1402C23—132no—
1403C23—132no—
1404C23—268no—
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—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—524no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23—524no—
1434C23—524no—
1435C23C2×#612712yes—
1436C23C24×D1311yescharacteristic
1437Q8—82no—
1438Q8—524no—
1439D4—82no—
1440D4—524no—
1441D4—524no—
1442D4—524no—
1443D4—524no—
1444D4—1042no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
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—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—268no—
1492C2×C4—268no—
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—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—1042no—
1535C2×C4C2×#612712yes—
1536C2×C4C2×#612712yes—
1537C2×C4#41×D1312yes—
1538C2×C4#41×D1312yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—134no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—5216no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22—521no—
1582C22C22×#612711yescharacteristic
1583C22C2×#41×D1311yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22D13×H(5,𝔽2)11yescharacteristic
1586C22D13×H(5,𝔽2)11yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22#1171965211yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—262no—
1603C4—262no—
1604C4—262no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—42no—
1615C2—81no—
1616C2—264no—
1617C2—522no—
1618C2—1041no—
1619C2—1041no—
1620C2#1312812911yescharacteristic
1621C2D13×#53811yescharacteristic
1622C2#1312825611yescharacteristic
1623C2#1312852211yescharacteristic
1624C2#1312856911yescharacteristic
1625C2#1312877811yescharacteristic
1626C2#1312885811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2337C2
hypercenter#2337D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
1. #13123150C2semidirect
2. #13123140C2semidirect
3. #13123131C2semidirect
4. #13123117C2semidirect
5. #13121010C2semidirect
6. #13120968C2semidirect
7. #13120899C2semidirect
8. #13120824C2semidirect
9. #13120175C2semidirect
10. #13120139C2semidirect
11. #13120109C2semidirect
12. #13120084C2semidirect
13. #13119962C2semidirect
14. #13119942C2semidirect
15. #13119907C2semidirect
16. #13119903C2semidirect
17. #13119403C2semidirect
18. #13118958C2semidirect
19. #13118593C2semidirect
20. #13118509C2semidirect
21. #13118445C2semidirect
22. #13118377C2semidirect
23. #13118220C2semidirect
24. #13118153C2semidirect
25. #13117620C2semidirect
26. #13117596C2semidirect
27. #13117596C2semidirect
28. C4×#88148C2semidirect
29. #13117322C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2337C2semidirect
35. C2×#88201C22semidirect
50. C2×#88133C22semidirect
55. C13×#391C22semidirect
56. C13×#391C22semidirect
59. C13×#388C22semidirect
60. C13×#388C22semidirect
64. C13×#385C22semidirect
65. C13×#383C22semidirect
66. C4×C13×C4⋊C4C22semidirect
68. C4×C13×C22⋊C4C22semidirect
70. #11718890C22semidirect
76. #11718874C22semidirect
78. C4×C22⋊Dic13C22semidirect
80. #11718654C22semidirect
82. #11718651C22semidirect
85. #11718650C22semidirect
86. #11718644C22semidirect
87. #11718642C22semidirect
88. #11718642C22semidirect
89. #11718640C22semidirect
90. #11718638C22semidirect
95. #11718621C22semidirect
97. #11718620C22semidirect
98. #11718620C22semidirect
102. #11718618C22semidirect
103. #11718618C22semidirect
110. #11718617C22semidirect
112. #11718614C22semidirect
115. #11718612C22semidirect
119. #11718606C22semidirect
124. #11718601C22semidirect
127. #11718600C22semidirect
131. C4×#6103C22semidirect
132. C4×#6103C22semidirect
133. C4×#6103C22semidirect
134. C4×#6103C22semidirect
135. #11718594C22semidirect
136. #11718594C22semidirect
137. #11718594C22semidirect
138. C4×#6101C22semidirect
140. #11718336C22semidirect
141. #11718335C22semidirect
143. #11718334C22semidirect
146. #11718330C22semidirect
147. #11718330C22semidirect
148. #11718330C22semidirect
149. #11718330C22semidirect
150. #11718330C22semidirect
151. #11718330C22semidirect
167. #11718326C22semidirect
171. #11718325C22semidirect
174. C13⋊#401C22semidirect
175. #11718320C22semidirect
176. #11718319C22semidirect
177. #11718319C22semidirect
178. #11718318C22semidirect
179. #11718316C22semidirect
180. #11718316C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718312C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
487. C2×C4×D13#41semidirect
504. C13×C22⋊C4#41semidirect
598. #2337D13semidirect
814. #391C2×D13semidirect
815. #391C2×D13semidirect
839. #388C2×D13semidirect
840. #388C2×D13semidirect
881. #385C2×D13semidirect
883. #383C2×D13semidirect
894. C4×C4⋊C4C2×D13semidirect
909. C4×C22⋊C4C2×D13semidirect
1372. C22⋊C4#6127semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231502
#131231402
#131231312
#131231172
#131210102
#131209682
#131208992
#131208242
#131201752
#131201392
#131201092
#131200842
#131199622
#131199422
#131199072
#131199032
#131194032
#131189582
#131185932
#131185092
#131184452
#131183772
#131182202
#131181532
#131176202
#131175962
C4×#881482
#131173222
C4×C22⋊C4×D132
C13×#23372
#3505313