Finite Group Databasebeta

← #16036908

Subgroups — #16036908

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#13123164C211yesmaximal, characteristic, complemented
2#13123161C211yesmaximal, characteristic, complemented
3#13123131C211yesmaximal, characteristic, complemented
4#13123117C211yesmaximal, characteristic, complemented
5#13121036C211yesmaximal, characteristic, complemented
6#13120968C211yesmaximal, characteristic, complemented
7#13120843C211yesmaximal, characteristic, complemented
8#13120830C211yesmaximal, characteristic, complemented
9#13120055C211yesmaximal, characteristic, complemented
10#13119792C211yesmaximal, characteristic, complemented
11#13119762C211yesmaximal, characteristic, complemented
12#13119722C211yesmaximal, characteristic, complemented
13#13119677C211yesmaximal, characteristic, complemented
14#13119602C211yesmaximal, characteristic, complemented
15#13119556C211yesmaximal, characteristic, complemented
16#13119472C211yesmaximal, characteristic, complemented
17#13119016C211yesmaximal, characteristic, complemented
18#13118941C211yesmaximal, characteristic, complemented
19#13118844C211yesmaximal, characteristic, complemented
20#13118745C211yesmaximal, characteristic, complemented
21#13118389C211yesmaximal, characteristic, complemented
22#13118374C211yesmaximal, characteristic, complemented
23#13118315C211yesmaximal, characteristic, complemented
24#13118300C211yesmaximal, characteristic, complemented
25#13117620C211yesmaximal, characteristic, complemented
26#13117620C211yesmaximal, characteristic, complemented
27#13117596C211yesmaximal, characteristic, complemented
28#13117596C211yesmaximal, characteristic, complemented
29C4×#88184C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C13×#2290C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic, complemented
35C22×C42×C13C2211yescharacteristic
36C2×#88193C2211yescharacteristic
37C2×#88193C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88189C2211yescharacteristic
40C2×#88184C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C22×#6103C2211yescharacteristic
44C22×#6103C2211yescharacteristic
45C22×C4×Dic13C2211yescharacteristic
46C2×#88148C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88148C2211yescharacteristic
49C2×#88140C2211yescharacteristic
50C2×#88140C2211yescharacteristic
51C2×#88138C2211yescharacteristic
52C2×#88138C2211yescharacteristic
53C2×#88138C2211yescharacteristic
54C2×#88136C2211yescharacteristic
55C2×#88136C2211yescharacteristic
56C2×C4×D52C2211yescharacteristic, complemented
57C13×#388C2211yescharacteristic, complemented
58C13×#388C2211yescharacteristic, complemented
59C13×#387C2211yescharacteristic, complemented
60C13×#387C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#385C2211yescharacteristic
64C13×#385C2211yescharacteristic
65C4×C13×C4⋊C4C2211yescharacteristic, complemented
66C4×C13×C22⋊C4C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic, complemented
68C13×#376C2211yescharacteristic, complemented
69#11718874C2211yescharacteristic
70#11718874C2211yescharacteristic
71#11718874C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic, complemented
74#11718874C2211yescharacteristic, complemented
75#11718873C2211yescharacteristic
76C2×#88071C2211yescharacteristic
77C2×#88071C2211yescharacteristic
78#11718655C2211yescharacteristic
79#11718655C2211yescharacteristic
80#11718654C2211yescharacteristic, complemented
81#11718653C2211yescharacteristic
82#11718652C2211yescharacteristic
83#11718652C2211yescharacteristic, complemented
84#11718651C2211yescharacteristic
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718650C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic, complemented
90#11718645C2211yescharacteristic, complemented
91#11718644C2211yescharacteristic, complemented
92#11718642C2211yescharacteristic, complemented
93#11718642C2211yescharacteristic, complemented
94#11718642C2211yescharacteristic, complemented
95#11718622C2211yescharacteristic
96#11718622C2211yescharacteristic
97#11718621C2211yescharacteristic
98#11718621C2211yescharacteristic, complemented
99#11718620C2211yescharacteristic
100#11718620C2211yescharacteristic, complemented
101#11718619C2211yescharacteristic
102#11718619C2211yescharacteristic
103#11718618C2211yescharacteristic
104#11718618C2211yescharacteristic, complemented
105#11718618C2211yescharacteristic, complemented
106#11718617C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic, complemented
109#11718616C2211yescharacteristic
110#11718614C2211yescharacteristic, complemented
111#11718612C2211yescharacteristic, complemented
112#11718612C2211yescharacteristic, complemented
113#11718612C2211yescharacteristic, complemented
114#11718609C2211yescharacteristic, complemented
115#11718607C2211yescharacteristic
116#11718607C2211yescharacteristic
117#11718604C2211yescharacteristic
118#11718603C2211yescharacteristic
119#11718603C2211yescharacteristic
120#11718601C2211yescharacteristic
121#11718601C2211yescharacteristic
122#11718601C2211yescharacteristic, complemented
123#11718601C2211yescharacteristic, complemented
124#11718601C2211yescharacteristic, complemented
125#11718601C2211yescharacteristic, complemented
126#11718600C2211yescharacteristic
127#11718600C2211yescharacteristic
128#11718600C2211yescharacteristic
129#11718600C2211yescharacteristic
130#11718600C2211yescharacteristic, complemented
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic
134C4×#6103C2211yescharacteristic
135C4×#6103C2211yescharacteristic
136C4×#6103C2211yescharacteristic
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic, complemented
141C4×C4⋊Dic13C2211yescharacteristic, complemented
142#11718594C2211yescharacteristic, complemented
143#11718594C2211yescharacteristic, complemented
144#11718594C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146#11718589C2211yescharacteristic, complemented
147#11718338C2211yescharacteristic
148#11718338C2211yescharacteristic
149#11718337C2211yescharacteristic
150#11718336C2211yescharacteristic
151#11718336C2211yescharacteristic, complemented
152#11718336C2211yescharacteristic, complemented
153#11718333C2211yescharacteristic
154#11718333C2211yescharacteristic
155#11718332C2211yescharacteristic
156#11718332C2211yescharacteristic
157#11718330C2211yescharacteristic
158#11718330C2211yescharacteristic
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718330C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718328C2211yescharacteristic
164#11718328C2211yescharacteristic
165#11718328C2211yescharacteristic, complemented
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718325C2211yescharacteristic
173#11718325C2211yescharacteristic
174#11718325C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718321C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
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
216C4×D4×C13—24no—
217C13×#117—42no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C42×C13—42no—
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245#88193—42no—
246#88193—42no—
247#88191—42no—
248#88189—42no—
249#88184—24no—
250C4×C22⋊D13—42no—
251C4×C22⋊D13—42no—
252C2×#6103—24no—
253C2×#6103—24no—
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×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×C4×Dic13—42no—
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88148—24no—
319#88148—24no—
320#88148—42no—
321#88140—42no—
322#88140—42no—
323#88138—24no—
324#88138—24no—
325#88138—42no—
326#88136—42no—
327#88136—42no—
328C4×D52—42no—
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#35056—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
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—22no—
385C2×D4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13#4114yes—
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
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—41no—
437C22×Dic13—41no—
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—41no—
456C2×D52—41no—
457C2×D52—41no—
458C2×D52—41no—
459C2×D52—41no—
460C2×D52—41no—
461C2×D52—41no—
462C2×D52—41no—
463C2×D52—41no—
464C2×D52—41no—
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—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—416no—
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×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—41no—
497C42×C13—22no—
498C42×C13—22no—
499C42×C13—22no—
500C42×C13—41no—
501C42×C13—41no—
502C42×C13—41no—
503C42×C13—41no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—41no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13—41no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
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—22no—
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#4114yes—
546C4⋊Dic13—22no—
547C4⋊Dic13—41no—
548C4⋊Dic13—41no—
549C4⋊Dic13—41no—
550C4⋊Dic13—41no—
551C4⋊Dic13—41no—
552C4⋊Dic13—41no—
553#6101—22no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—41no—
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—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573#2854—131no—
574#2853—131no—
575#2849—131no—
576#2847—131no—
577#2667—131no—
578#2661—131no—
579#2649—131no—
580#2648—131no—
581#2569—131no—
582#2543—131no—
583#2539—131no—
584#2534—131no—
585#2531—131no—
586#2526—131no—
587#2522—131no—
588#2516—131no—
589#2476—131no—
590#2471—131no—
591#2464—131no—
592#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#2290D1311yescharacteristic, complemented
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×C13C2×#4112yes—
616C23×C13H(5,𝔽2)12yes—
617C23×C13H(5,𝔽2)12yes—
618C23×C13C2511yescharacteristic
619C22×D13—28no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
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—21no—
645C22×D13—21no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13—44no—
649C22×D13—44no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13C2×#4112yes—
653C22×D13C2×#4112yes—
654D4×C13—44no—
655C2×C4×C13—28no—
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—44no—
691C2×C4×C13—44no—
692C2×C4×C13—44no—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13C2×#4112yes—
695C2×C4×C13C2×#4112yes—
696C2×C4×C13C2×#4112yes—
697C2×C4×C13H(5,𝔽2)12yes—
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—21no—
738C2×Dic13—44no—
739C2×Dic13—44no—
740C2×Dic13—44no—
741C2×Dic13C2×#4112yes—
742C2×Dic13C2×#4112yes—
743D52—44no—
744D52—82no—
745D52—82no—
746D52—82no—
747D52—82no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—82no—
753C4×D13—82no—
754C24×C4—131no—
755C2×#123—131no—
756C2×#123—131no—
757C2×#123—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×#123—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121—131no—
766C2×#121—131no—
767C2×#120—131no—
768C2×#120—131no—
769C2×#120—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4C2×D1311yescharacteristic
774C2×#117C2×D1311yescharacteristic, complemented
775C22×C22⋊C4—131no—
776C22×C22⋊C4—131no—
777C22×C42—131no—
778C22×C42C2×D1311yescharacteristic
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#398—131no—
790#397—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#396—131no—
796#396—131no—
797#396—131no—
798#396—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#392—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#390—131no—
812#390—131no—
813#390—131no—
814#390—131no—
815#390—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#389—131no—
820#389—131no—
821#389—131no—
822#389—131no—
823#388—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388C2×D1311yescharacteristic, complemented
842#388C2×D1311yescharacteristic, complemented
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387C2×D1311yescharacteristic, complemented
854#387C2×D1311yescharacteristic, complemented
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386C2×D1311yescharacteristic
873#386C2×D1311yescharacteristic
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385C2×D1311yescharacteristic
880#385C2×D1311yescharacteristic
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⋊C4C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic
905C4×C22⋊C4C2×D1311yescharacteristic, complemented
906#376C2×D1311yescharacteristic, complemented
907C2×#95—131no—
908C2×#95—131no—
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
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#54014yes—
923C22×C13C22×#4111yescharacteristic
924C22×C13C22×#4111yescharacteristic
925C22×C13C22×#4111yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C22×C13C2×H(5,𝔽2)11yescharacteristic
929C22×C13#58511yescharacteristic
930C2×D13—22no—
931C2×D13—22no—
932C2×D13—22no—
933C2×D13—22no—
934C2×D13—22no—
935C2×D13—22no—
936C2×D13—416no—
937C2×D13—41no—
938C2×D13—41no—
939C2×D13—41no—
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—41no—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—22no—
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—22no—
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—264no—
1007C23×C4—522no—
1008C23×C4—522no—
1009C23×C4C22×D1311yescharacteristic
1010C23×C4C22×D1311yescharacteristic
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#123—264no—
1014#123—264no—
1015#123—522no—
1016#123—522no—
1017#123—522no—
1018#123—522no—
1019#121—264no—
1020#121—264no—
1021#121—264no—
1022#121—522no—
1023#121—522no—
1024#121—522no—
1025#120—522no—
1026#120—522no—
1027#120—522no—
1028C4×D4—24no—
1029C4×D4—522no—
1030C4×D4—522no—
1031C4×D4—522no—
1032#117—42no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—264no—
1102C2×C22⋊C4—264no—
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—42no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—522no—
1119C2×C42C22×D1311yescharacteristic
1120C2×C42C22×D1311yescharacteristic
1121C2×C42C22×D1311yescharacteristic
1122C2×C42C22×D1311yescharacteristic
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—24no—
1167C2×C13—81no—
1168C2×C13#344411yescharacteristic
1169C2×C13C2×#54011yescharacteristic
1170C2×C13#345911yescharacteristic
1171C2×C13#349011yescharacteristic
1172C2×C13#349411yescharacteristic
1173C2×C13#351311yescharacteristic
1174C2×C13#351911yescharacteristic
1175D13—42no—
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—22no—
1194C2×D4—22no—
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—521no—
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—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—134no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—262no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—5216no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4#612714yes—
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—262no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—521no—
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—41no—
1327C22⋊C4—134no—
1328C22⋊C4—262no—
1329C22⋊C4—262no—
1330C22⋊C4—262no—
1331C22⋊C4—262no—
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—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
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—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
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—132no—
1395C23—132no—
1396C23—268no—
1397C23—261no—
1398C23—261no—
1399C23—261no—
1400C23—261no—
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—524no—
1424C23—524no—
1425C23—524no—
1426C23—524no—
1427C23—524no—
1428C23—524no—
1429C23C2×#612712yes—
1430C23#8825612yes—
1431C23#8825612yes—
1432C23C24×D1311yescharacteristic
1433D4—44no—
1434D4—524no—
1435D4—524no—
1436D4—524no—
1437D4—1042no—
1438D4—1042no—
1439D4—1042no—
1440D4—1042no—
1441D4—1042no—
1442D4—1042no—
1443D4—1042no—
1444D4—1042no—
1445C2×C4—28no—
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—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—132no—
1484C2×C4—132no—
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×C4C2×#612712yes—
1529C2×C4C2×#612712yes—
1530C2×C4#8825112yes—
1531C2×C4#41×D1312yes—
1532C2×C4#41×D1312yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—5216no—
1553C22—521no—
1554C22—521no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
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#1171924014yes—
1576C22C22×#612711yescharacteristic
1577C22C2×#8825111yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22C2×#8825611yescharacteristic
1581C22C2×#8825611yescharacteristic
1582C22#1171964811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—262no—
1597C4—262no—
1598C4—521no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C2—24no—
1609C2—81no—
1610C2—522no—
1611C2—522no—
1612C2—1041no—
1613C2—1041no—
1614C2#1312812911yescharacteristic
1615C2C2×#1171924011yescharacteristic
1616C2#1312824511yescharacteristic
1617C2#1312851911yescharacteristic
1618C2#1312855911yescharacteristic
1619C2#1312877011yescharacteristic
1620C2#1312885611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2290C2
hypercenter#2290D13
hypocenterC13#35056
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. #13123164C2semidirect
2. #13123161C2semidirect
3. #13123131C2semidirect
4. #13123117C2semidirect
5. #13121036C2semidirect
6. #13120968C2semidirect
7. #13120843C2semidirect
8. #13120830C2semidirect
9. #13120055C2semidirect
10. #13119792C2semidirect
11. #13119762C2semidirect
12. #13119722C2semidirect
13. #13119677C2semidirect
14. #13119602C2semidirect
15. #13119556C2semidirect
16. #13119472C2semidirect
17. #13119016C2semidirect
18. #13118941C2semidirect
19. #13118844C2semidirect
20. #13118745C2semidirect
21. #13118389C2semidirect
22. #13118374C2semidirect
23. #13118315C2semidirect
24. #13118300C2semidirect
25. #13117620C2semidirect
26. #13117620C2semidirect
27. #13117596C2semidirect
28. #13117596C2semidirect
29. C4×#88184C2semidirect
30. C2×C4×#6103C2semidirect
31. C13×#2290C2semidirect
34. C2×C13×#117C22semidirect
56. C2×C4×D52C22semidirect
57. C13×#388C22semidirect
58. C13×#388C22semidirect
59. C13×#387C22semidirect
60. C13×#387C22semidirect
65. C4×C13×C4⋊C4C22semidirect
67. C4×C13×C22⋊C4C22semidirect
68. C13×#376C22semidirect
73. #11718874C22semidirect
74. #11718874C22semidirect
80. #11718654C22semidirect
83. #11718652C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
89. #11718650C22semidirect
90. #11718645C22semidirect
91. #11718644C22semidirect
92. #11718642C22semidirect
93. #11718642C22semidirect
94. #11718642C22semidirect
98. #11718621C22semidirect
100. #11718620C22semidirect
104. #11718618C22semidirect
105. #11718618C22semidirect
108. #11718617C22semidirect
110. #11718614C22semidirect
111. #11718612C22semidirect
112. #11718612C22semidirect
113. #11718612C22semidirect
114. #11718609C22semidirect
122. #11718601C22semidirect
123. #11718601C22semidirect
124. #11718601C22semidirect
125. #11718601C22semidirect
130. #11718600C22semidirect
139. C4×#6103C22semidirect
140. C4×#6103C22semidirect
141. C4×C4⋊Dic13C22semidirect
142. #11718594C22semidirect
143. #11718594C22semidirect
144. #11718594C22semidirect
145. #11718594C22semidirect
146. #11718589C22semidirect
151. #11718336C22semidirect
152. #11718336C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
161. #11718330C22semidirect
162. #11718330C22semidirect
165. #11718328C22semidirect
174. #11718325C22semidirect
175. #11718321C22semidirect
176. #11718321C22semidirect
177. #11718321C22semidirect
178. #11718318C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718316C22semidirect
183. #11718316C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
602. #2290D13semidirect
774. C2×#117C2×D13semidirect
841. #388C2×D13semidirect
842. #388C2×D13semidirect
853. #387C2×D13semidirect
854. #387C2×D13semidirect
893. C4×C4⋊C4C2×D13semidirect
905. C4×C22⋊C4C2×D13semidirect
906. #376C2×D13semidirect
1382. C13#35056semidirect

Maximal subgroups

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

subgroupindex
#131231642
#131231612
#131231312
#131231172
#131210362
#131209682
#131208432
#131208302
#131200552
#131197922
#131197622
#131197222
#131196772
#131196022
#131195562
#131194722
#131190162
#131189412
#131188442
#131187452
#131183892
#131183742
#131183152
#131183002
#131176202
#131175962
C4×#881842
C2×C4×#61032
C13×#22902
#3505613