Finite Group Databasebeta

← #16035081

Subgroups — #16035081

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120390C211yesmaximal, characteristic, complemented
2#13120363C211yesmaximal, characteristic, complemented
3#13120282C211yesmaximal, characteristic, complemented
4#13120255C211yesmaximal, characteristic, complemented
5#13120173C211yesmaximal, characteristic, complemented
6#13120146C211yesmaximal, characteristic, complemented
7#13119960C211yesmaximal, characteristic, complemented
8#13119933C211yesmaximal, characteristic, complemented
9#13119400C211yesmaximal, characteristic, complemented
10#13119331C211yesmaximal, characteristic, complemented
11#13119079C211yesmaximal, characteristic, complemented
12#13118656C211yesmaximal, characteristic, complemented
13#13118588C211yesmaximal, characteristic, complemented
14#13118368C211yesmaximal, characteristic
15#13118298C211yesmaximal, characteristic, complemented
16#13118133C211yesmaximal, characteristic, complemented
17#13118118C211yesmaximal, characteristic, complemented
18#13118092C211yesmaximal, characteristic, complemented
19#13118079C211yesmaximal, characteristic, complemented
20#13117390C211yesmaximal, characteristic, complemented
21#124×Dic13C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic13C211yesmaximal, characteristic, complemented
23#13117363C211yesmaximal, characteristic, complemented
24#13117352C211yesmaximal, characteristic, complemented
25#13117346C211yesmaximal, characteristic, complemented
26#120×Dic13C211yesmaximal, characteristic, complemented
27#13117335C211yesmaximal, characteristic, complemented
28#13117276C211yesmaximal, characteristic, complemented
29C4×#88135C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2472C211yesmaximal, characteristic, complemented
32C24×Dic13C2211yescharacteristic
33C2×C13×#124C2211yescharacteristic
34C2×C13×C22⋊Q8C2211yescharacteristic
35C2×C13×#120C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×Q8×Dic13C2211yescharacteristic, complemented
40C2×#88193C2211yescharacteristic
41C2×#88192C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C22×C4×Dic13C2211yescharacteristic
47C22×C4×Dic13C2211yescharacteristic
48C2×#88137C2211yescharacteristic
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic
51C2×#88135C2211yescharacteristic
52C2×#88135C2211yescharacteristic
53C2×#88135C2211yescharacteristic, complemented
54C2×#88133C2211yescharacteristic
55C2×#88131C2211yescharacteristic, complemented
56C2×C42×D13C2211yescharacteristic, complemented
57C13×#397C2211yescharacteristic
58C13×#394C2211yescharacteristic
59C13×#394C2211yescharacteristic
60C13×#393C2211yescharacteristic
61C13×#390C2211yescharacteristic
62C13×#388C2211yescharacteristic
63C13×#388C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#379C2211yescharacteristic
67C4×C13×C22⋊C4C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718892C2211yescharacteristic, complemented
70#11718891C2211yescharacteristic, complemented
71#11718891C2211yescharacteristic, complemented
72#11718884C2211yescharacteristic
73#11718883C2211yescharacteristic
74#11718882C2211yescharacteristic
75#11718881C2211yescharacteristic
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718874C2211yescharacteristic
80#11718873C2211yescharacteristic
81#11718871C2211yescharacteristic
82C2×#88071C2211yescharacteristic
83C2×#88071C2211yescharacteristic
84#11718655C2211yescharacteristic, complemented
85#11718650C2211yescharacteristic, complemented
86#11718648C2211yescharacteristic, complemented
87#11718646C2211yescharacteristic, complemented
88#11718645C2211yescharacteristic, complemented
89#11718643C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718639C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94C4⋊C4×Dic13C2211yescharacteristic, complemented
95C4⋊C4×Dic13C2211yescharacteristic, complemented
96#11718622C2211yescharacteristic
97#11718622C2211yescharacteristic
98#11718622C2211yescharacteristic, complemented
99#11718620C2211yescharacteristic
100#11718619C2211yescharacteristic
101#11718619C2211yescharacteristic
102#11718619C2211yescharacteristic
103#11718618C2211yescharacteristic, complemented
104#11718617C2211yescharacteristic
105#11718617C2211yescharacteristic
106#11718617C2211yescharacteristic, complemented
107#11718614C2211yescharacteristic
108#11718614C2211yescharacteristic, complemented
109#11718613C2211yescharacteristic
110#11718613C2211yescharacteristic
111#11718613C2211yescharacteristic
112#11718613C2211yescharacteristic, complemented
113#11718613C2211yescharacteristic, complemented
114#11718612C2211yescharacteristic
115#11718612C2211yescharacteristic
116#11718612C2211yescharacteristic, complemented
117#11718612C2211yescharacteristic, complemented
118#11718611C2211yescharacteristic
119#11718611C2211yescharacteristic
120#11718611C2211yescharacteristic
121#11718611C2211yescharacteristic
122#11718611C2211yescharacteristic
123#11718610C2211yescharacteristic
124#11718609C2211yescharacteristic
125#11718609C2211yescharacteristic
126#11718607C2211yescharacteristic
127#11718607C2211yescharacteristic
128#11718607C2211yescharacteristic
129#11718607C2211yescharacteristic
130#11718606C2211yescharacteristic
131#11718606C2211yescharacteristic
132#11718606C2211yescharacteristic, complemented
133#11718606C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic
135#11718605C2211yescharacteristic
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718603C2211yescharacteristic
139C22⋊C4×Dic13C2211yescharacteristic
140C22⋊C4×Dic13C2211yescharacteristic
141C22⋊C4×Dic13C2211yescharacteristic
142C22⋊C4×Dic13C2211yescharacteristic
143C22⋊C4×Dic13C2211yescharacteristic
144C22⋊C4×Dic13C2211yescharacteristic
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic, complemented
155C22⋊C4×Dic13C2211yescharacteristic, complemented
156C4×#6103C2211yescharacteristic, complemented
157#11718597C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159#11718594C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C42×Dic13C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718335C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718325C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718321C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718321C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718319C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718315C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718312C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718310C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718309C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13—24no—
199C23×Dic13—42no—
200C23×Dic13—42no—
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C13×#124—24no—
214C13×C22⋊Q8—24no—
215C13×#120—24no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4—24no—
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239#88207—24no—
240C2×C22⋊Dic13—24no—
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260Q8×Dic13—42no—
261#88193—24no—
262#88192—24no—
263D4×Dic13—24no—
264D4×Dic13—42no—
265D4×Dic13—42no—
266C4×C22⋊D13—24no—
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×C4×Dic13—42no—
297C2×C4×Dic13—42no—
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316#88137—24no—
317#88135—24no—
318#88135—24no—
319#88135—42no—
320#88135—42no—
321#88135—42no—
322#88133—24no—
323#88131—42no—
324C42×D13—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34959—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C2×Q8×C13—22no—
383C2×Q8×C13—22no—
384C2×Q8×C13—41no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
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—41no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13#4114yes—
423C22×Dic13—22no—
424C22×Dic13—22no—
425C22×Dic13—22no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13—416no—
450C22×Dic13#4114yes—
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
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—41no—
474C2×C4×D13—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—22no—
486C13×C22⋊C4—22no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—41no—
490C13×C22⋊C4—41no—
491C13×C22⋊C4—41no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4#4114yes—
494C13×C22⋊C4#4114yes—
495C42×C13—22no—
496C42×C13—41no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—22no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13#4114yes—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—41no—
522#6103—41no—
523#6103—41no—
524C4⋊Dic13—22no—
525C4⋊Dic13—22no—
526C4⋊Dic13—22no—
527C4⋊Dic13—22no—
528C4⋊Dic13—41no—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13—41no—
532C4⋊Dic13—41no—
533#6101—22no—
534#6101—22no—
535#6101—22no—
536#6101—22no—
537#6101—22no—
538#6101—22no—
539#6101—22no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544#6101—41no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—22no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2597—131no—
564#2595—131no—
565#2589—131no—
566#2587—131no—
567#2578—131no—
568#2576—131no—
569#2559—131no—
570#2557—131no—
571#2510—131no—
572#2505—131no—
573#2480—131no—
574#2472D1311yescharacteristic, complemented
575#2450—131no—
576#2444—131no—
577#2424—131no—
578#2418—131no—
579#2401—131no—
580#2398—131no—
581#2395—131no—
582#2392—131no—
583C4×#126—131no—
584C4×#124—131no—
585C4×C22⋊Q8—131no—
586C4×#123—131no—
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—28no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—44no—
619C23×C13—44no—
620C23×C13—44no—
621C23×C13—44no—
622C23×C13—44no—
623C23×C13—44no—
624C23×C13C2×#4112yes—
625C23×C13C2×#4112yes—
626C23×C13C2×#4112yes—
627C23×C13C2×#4112yes—
628C23×C13C2×#4112yes—
629C23×C13C2511yescharacteristic
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13C2×#4112yes—
637Q8×C13—44no—
638D4×C13—44no—
639D4×C13—44no—
640D4×C13—44no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
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—44no—
671C2×C4×C13—44no—
672C2×C4×C13C2×#4112yes—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C22⋊D13—28no—
677C22⋊D13—44no—
678C22⋊D13—44no—
679C22⋊D13—44no—
680C2×Dic13—21no—
681C2×Dic13—21no—
682C2×Dic13—21no—
683C2×Dic13—21no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—28no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—44no—
720C2×Dic13—44no—
721C2×Dic13—44no—
722C2×Dic13—44no—
723C2×Dic13—44no—
724C2×Dic13—44no—
725C2×Dic13—44no—
726C2×Dic13—44no—
727C2×Dic13C2×#4112yes—
728C2×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731C2×Dic13C2×#4112yes—
732C2×Dic13H(5,𝔽2)12yes—
733C2×Dic13H(5,𝔽2)12yes—
734C4×D13—44no—
735C4×D13—44no—
736C4×D13—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124C2×D1311yescharacteristic
740C2×#123—131no—
741C2×C22⋊Q8C2×D1311yescharacteristic
742C2×#121—131no—
743C2×#121—131no—
744C2×#120—131no—
745C2×#120C2×D1311yescharacteristic
746C2×C4×Q8—131no—
747C2×C4×D4—131no—
748C2×C4×D4—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4—131no—
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4C2×D1311yescharacteristic
759C22×C42—131no—
760C22×C42—131no—
761C22×C42—131no—
762#401—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400—131no—
769#399—131no—
770#398—131no—
771#398—131no—
772#397—131no—
773#397—131no—
774#397—131no—
775#397—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397—131no—
780#397C2×D1311yescharacteristic
781#396—131no—
782#396—131no—
783#396—131no—
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394C2×D1311yescharacteristic
790#394C2×D1311yescharacteristic
791#393—131no—
792#393C2×D1311yescharacteristic
793#392—131no—
794#391—131no—
795#391—131no—
796#390—131no—
797#390—131no—
798#390C2×D1311yescharacteristic
799#389—131no—
800#389—131no—
801#389—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388C2×D1311yescharacteristic
816#388C2×D1311yescharacteristic
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—131no—
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386—131no—
837#386C2×D1311yescharacteristic
838#386C2×D1311yescharacteristic
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385—131no—
850#383—131no—
851#382—131no—
852#381—131no—
853#380—131no—
854#380—131no—
855#380—131no—
856#379—131no—
857#379C2×D1311yescharacteristic
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C4⋊C4—131no—
862C4×C4⋊C4—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4C2×D1311yescharacteristic
888#376—131no—
889C2×#95—131no—
890C2×#95—131no—
891C43—131no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—416no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
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#52914yes—
921C22×C13C22×#4111yescharacteristic
922C22×C13C22×#4111yescharacteristic
923C22×C13C22×#4111yescharacteristic
924C22×C13C22×#4111yescharacteristic
925C22×C13C22×#4111yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C2×D13—22no—
929C2×D13—22no—
930C2×D13—22no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—41no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13#53814yes—
961C25C22×D1311yescharacteristic
962C22×Q8C22×D1311yescharacteristic
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
969C22×D4C22×D1311yescharacteristic
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—131no—
982C23×C4—264no—
983C23×C4—522no—
984C23×C4—522no—
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—24no—
989#123—264no—
990C22⋊Q8—24no—
991#121—264no—
992#121—264no—
993#120—24no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—264no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—522no—
1001C4×D4—522no—
1002C4×D4—522no—
1003C4×D4—522no—
1004C4×D4—522no—
1005#117—522no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—264no—
1059C2×C22⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4C22×D1311yescharacteristic
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C22⋊C4C22×D1311yescharacteristic
1063C2×C22⋊C4C22×D1311yescharacteristic
1064C2×C22⋊C4C22×D1311yescharacteristic
1065C2×C22⋊C4C22×D1311yescharacteristic
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—522no—
1095C2×C42—522no—
1096C2×C42—522no—
1097C2×C42C22×D1311yescharacteristic
1098C2×C42C22×D1311yescharacteristic
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
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#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—24no—
1144C2×C13—42no—
1145C2×C13—42no—
1146C2×C13—81no—
1147C2×C13C2×#52911yescharacteristic
1148C2×C13#344411yescharacteristic
1149C2×C13C2×#53811yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153C2×C13#348111yescharacteristic
1154D13—42no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—131no—
1163C24C23×D1311yescharacteristic
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—134no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—262no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4—521no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—131no—
1198C22×C4—134no—
1199C22×C4—131no—
1200C22×C4—131no—
1201C22×C4—131no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—262no—
1214C22×C4—262no—
1215C22×C4—262no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4—5216no—
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—262no—
1264C4⋊C4—262no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—262no—
1274C4⋊C4—521no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—134no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
1316C22⋊C4—262no—
1317C22⋊C4—262no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4#612914yes—
1327C22⋊C4#612914yes—
1328C42—22no—
1329C42—41no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—262no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—132no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23—261no—
1386C23C2×#612912yes—
1387C23C2×#612912yes—
1388C23#41×D1312yes—
1389C23#41×D1312yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—268no—
1397D4—524no—
1398D4—524no—
1399D4—524no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—132no—
1432C2×C4—132no—
1433C2×C4—132no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—268no—
1439C2×C4—261no—
1440C2×C4—261no—
1441C2×C4—261no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4—524no—
1488C2×C4C2×#612912yes—
1489C2×C4C2×#612912yes—
1490C2×C4C2×#612912yes—
1491C2×C4C2×#612912yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—416no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—262no—
1521C22—262no—
1522C22—262no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22#1171938514yes—
1528C22C22×#612911yescharacteristic
1529C22C22×#612911yescharacteristic
1530C22C2×#41×D1311yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22D13×H(5,𝔽2)11yescharacteristic
1534C22D13×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—134no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4—521no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—522no—
1566C2C2×#1171938511yescharacteristic
1567C2#1312812811yescharacteristic
1568C2D13×#53811yescharacteristic
1569C2#1312843711yescharacteristic
1570C2#1312843911yescharacteristic
1571C2#1312844111yescharacteristic
1572C2#1312844111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2472C2
prime radical#13118368C2
hypercenter#2472D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #13120390C2semidirect
2. #13120363C2semidirect
3. #13120282C2semidirect
4. #13120255C2semidirect
5. #13120173C2semidirect
6. #13120146C2semidirect
7. #13119960C2semidirect
8. #13119933C2semidirect
9. #13119400C2semidirect
10. #13119331C2semidirect
11. #13119079C2semidirect
12. #13118656C2semidirect
13. #13118588C2semidirect
15. #13118298C2semidirect
16. #13118133C2semidirect
17. #13118118C2semidirect
18. #13118092C2semidirect
19. #13118079C2semidirect
20. #13117390C2semidirect
21. #124×Dic13C2semidirect
22. C22⋊Q8×Dic13C2semidirect
23. #13117363C2semidirect
24. #13117352C2semidirect
25. #13117346C2semidirect
26. #120×Dic13C2semidirect
27. #13117335C2semidirect
28. #13117276C2semidirect
29. C4×#88135C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
31. C13×#2472C2semidirect
39. C2×Q8×Dic13C22semidirect
53. C2×#88135C22semidirect
55. C2×#88131C22semidirect
56. C2×C42×D13C22semidirect
69. #11718892C22semidirect
70. #11718891C22semidirect
71. #11718891C22semidirect
84. #11718655C22semidirect
85. #11718650C22semidirect
86. #11718648C22semidirect
87. #11718646C22semidirect
88. #11718645C22semidirect
89. #11718643C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718639C22semidirect
93. C4⋊C4×Dic13C22semidirect
94. C4⋊C4×Dic13C22semidirect
95. C4⋊C4×Dic13C22semidirect
98. #11718622C22semidirect
103. #11718618C22semidirect
106. #11718617C22semidirect
108. #11718614C22semidirect
112. #11718613C22semidirect
113. #11718613C22semidirect
116. #11718612C22semidirect
117. #11718612C22semidirect
132. #11718606C22semidirect
133. #11718606C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
154. C22⋊C4×Dic13C22semidirect
155. C22⋊C4×Dic13C22semidirect
156. C4×#6103C22semidirect
157. #11718597C22semidirect
158. #11718594C22semidirect
159. #11718594C22semidirect
160. C4×#6101C22semidirect
161. C42×Dic13C22semidirect
162. #11718589C22semidirect
163. #11718335C22semidirect
164. #11718331C22semidirect
165. #11718327C22semidirect
166. #11718327C22semidirect
167. #11718327C22semidirect
168. #11718325C22semidirect
169. C13⋊#401C22semidirect
170. #11718321C22semidirect
171. #11718321C22semidirect
172. #11718321C22semidirect
173. #11718321C22semidirect
174. #11718319C22semidirect
175. #11718318C22semidirect
176. #11718315C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718314C22semidirect
180. #11718312C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718310C22semidirect
184. #11718310C22semidirect
185. #11718309C22semidirect
186. #11718308C22semidirect
574. #2472D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203902
#131203632
#131202822
#131202552
#131201732
#131201462
#131199602
#131199332
#131194002
#131193312
#131190792
#131186562
#131185882
#131183682
#131182982
#131181332
#131181182
#131180922
#131180792
#131173902
#124×Dic132
C22⋊Q8×Dic132
#131173632
#131173522
#131173462
#120×Dic132
#131173352
#131172762
C4×#881352
C2×C22⋊C4×Dic132
C13×#24722
#3495913