Finite Group Databasebeta

← #16071256

Subgroups — #16071256

Order 3328.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123126C211yesmaximal, characteristic, complemented
2#13123116C211yesmaximal, characteristic, complemented
3#13122447C211yesmaximal, characteristic, complemented
4#13122447C211yesmaximal, characteristic, complemented
5#13122212C211yesmaximal, characteristic, complemented
6#13122074C211yesmaximal, characteristic, complemented
7#13122061C211yesmaximal, characteristic, complemented
8#13122059C211yesmaximal, characteristic, complemented
9#13121973C211yesmaximal, characteristic, complemented
10#13121484C211yesmaximal, characteristic, complemented
11#13121397C211yesmaximal, characteristic, complemented
12#13121385C211yesmaximal, characteristic, complemented
13#13121278C211yesmaximal, characteristic, complemented
14#13121271C211yesmaximal, characteristic, complemented
15#13121214C211yesmaximal, characteristic, complemented
16#13121161C211yesmaximal, characteristic, complemented
17#13121130C211yesmaximal, characteristic, complemented
18#13121040C211yesmaximal, characteristic, complemented
19#13120791C211yesmaximal, characteristic, complemented
20#13120766C211yesmaximal, characteristic, complemented
21#13119394C211yesmaximal, characteristic, complemented
22#13118961C211yesmaximal, characteristic, complemented
23#13118592C211yesmaximal, characteristic, complemented
24#13118502C211yesmaximal, characteristic, complemented
25#13118368C211yesmaximal, characteristic, complemented
26#13118210C211yesmaximal, characteristic, complemented
27#13118210C211yesmaximal, characteristic, complemented
28#13117491C211yesmaximal, characteristic, complemented
29#13117414C211yesmaximal, characteristic, complemented
30C2×#11718881C211yesmaximal, characteristic, complemented
31C13×#2403C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C23×D4×C13C2211yescharacteristic
34C24×Dic13C2211yescharacteristic, complemented
35C2×C13×#120C2211yescharacteristic
36C2×C13×#120C2211yescharacteristic
37C2×C13×#120C2211yescharacteristic
38C2×C13×#120C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C2×#88207C2211yescharacteristic, complemented
41C2×#88207C2211yescharacteristic, complemented
42C22×C22⋊Dic13C2211yescharacteristic
43C22×C22⋊Dic13C2211yescharacteristic
44C22×C22⋊Dic13C2211yescharacteristic
45C22×C22⋊Dic13C2211yescharacteristic, complemented
46C2×#88193C2211yescharacteristic
47C2×#88193C2211yescharacteristic
48C2×#88193C2211yescharacteristic, complemented
49C2×#88193C2211yescharacteristic, complemented
50C2×#88193C2211yescharacteristic, complemented
51C2×#88193C2211yescharacteristic, complemented
52C2×#88192C2211yescharacteristic, complemented
53C2×#88190C2211yescharacteristic, complemented
54C2×#88189C2211yescharacteristic, complemented
55C2×#88189C2211yescharacteristic, complemented
56C2×#88135C2211yescharacteristic, complemented
57C2×#88132C2211yescharacteristic, complemented
58C2×#88132C2211yescharacteristic, complemented
59C13×#392C2211yescharacteristic
60C13×#392C2211yescharacteristic
61C13×#392C2211yescharacteristic
62C13×#392C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#386C2211yescharacteristic
67C13×#379C2211yescharacteristic
68#11718908C2211yescharacteristic, complemented
69#11718908C2211yescharacteristic, complemented
70#11718908C2211yescharacteristic, complemented
71#11718908C2211yescharacteristic, complemented
72#11718884C2211yescharacteristic
73#11718884C2211yescharacteristic
74#11718884C2211yescharacteristic, complemented
75#11718884C2211yescharacteristic, complemented
76#11718884C2211yescharacteristic, complemented
77#11718883C2211yescharacteristic
78#11718883C2211yescharacteristic
79#11718883C2211yescharacteristic, complemented
80#11718883C2211yescharacteristic, complemented
81#11718883C2211yescharacteristic, complemented
82#11718883C2211yescharacteristic, complemented
83#11718883C2211yescharacteristic, complemented
84#11718882C2211yescharacteristic, complemented
85#11718882C2211yescharacteristic, complemented
86#11718881C2211yescharacteristic
87#11718881C2211yescharacteristic
88#11718881C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718881C2211yescharacteristic
92#11718881C2211yescharacteristic
93#11718881C2211yescharacteristic
94#11718881C2211yescharacteristic
95#11718881C2211yescharacteristic
96#11718881C2211yescharacteristic, complemented
97#11718881C2211yescharacteristic, complemented
98#11718881C2211yescharacteristic, complemented
99#11718881C2211yescharacteristic, complemented
100#11718881C2211yescharacteristic, complemented
101#11718881C2211yescharacteristic, complemented
102#11718881C2211yescharacteristic, complemented
103#11718881C2211yescharacteristic, complemented
104#11718881C2211yescharacteristic, complemented
105#11718881C2211yescharacteristic, complemented
106#11718881C2211yescharacteristic, complemented
107#11718881C2211yescharacteristic, complemented
108#11718881C2211yescharacteristic, complemented
109#11718881C2211yescharacteristic, complemented
110#11718874C2211yescharacteristic, complemented
111#11718874C2211yescharacteristic, complemented
112#11718872C2211yescharacteristic, complemented
113#11718872C2211yescharacteristic, complemented
114#11718871C2211yescharacteristic, complemented
115#11718871C2211yescharacteristic, complemented
116C2×#88071C2211yescharacteristic, complemented
117C2×#88071C2211yescharacteristic, complemented
118#11718622C2211yescharacteristic, complemented
119#11718622C2211yescharacteristic, complemented
120#11718620C2211yescharacteristic, complemented
121#11718620C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic, complemented
123#11718619C2211yescharacteristic, complemented
124#11718619C2211yescharacteristic, complemented
125#11718618C2211yescharacteristic, complemented
126#11718618C2211yescharacteristic, complemented
127#11718617C2211yescharacteristic, complemented
128#11718617C2211yescharacteristic, complemented
129#11718617C2211yescharacteristic, complemented
130#11718617C2211yescharacteristic, complemented
131#11718614C2211yescharacteristic, complemented
132#11718614C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718613C2211yescharacteristic, complemented
135#11718613C2211yescharacteristic, complemented
136#11718613C2211yescharacteristic, complemented
137#11718613C2211yescharacteristic, complemented
138#11718613C2211yescharacteristic, complemented
139#11718611C2211yescharacteristic, complemented
140#11718611C2211yescharacteristic, complemented
141#11718610C2211yescharacteristic, complemented
142#11718609C2211yescharacteristic, complemented
143#11718609C2211yescharacteristic, complemented
144#11718609C2211yescharacteristic, complemented
145#11718609C2211yescharacteristic, complemented
146#11718608C2211yescharacteristic, complemented
147#11718608C2211yescharacteristic, complemented
148#11718608C2211yescharacteristic, complemented
149#11718607C2211yescharacteristic, complemented
150#11718607C2211yescharacteristic, complemented
151#11718607C2211yescharacteristic, complemented
152#11718607C2211yescharacteristic, complemented
153#11718607C2211yescharacteristic, complemented
154#11718606C2211yescharacteristic, complemented
155#11718606C2211yescharacteristic, complemented
156#11718606C2211yescharacteristic, complemented
157#11718606C2211yescharacteristic, complemented
158#11718606C2211yescharacteristic, complemented
159#11718606C2211yescharacteristic, complemented
160#11718605C2211yescharacteristic, complemented
161#11718605C2211yescharacteristic, complemented
162#11718605C2211yescharacteristic, complemented
163#11718605C2211yescharacteristic, complemented
164#11718604C2211yescharacteristic, complemented
165#11718604C2211yescharacteristic, complemented
166#11718603C2211yescharacteristic, complemented
167#11718603C2211yescharacteristic, complemented
168#11718603C2211yescharacteristic, complemented
169#11718603C2211yescharacteristic, complemented
170C22⋊C4×Dic13C2211yescharacteristic, complemented
171#11718336C2211yescharacteristic, complemented
172#11718336C2211yescharacteristic, complemented
173#11718334C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175C13⋊#401C2211yescharacteristic, complemented
176C13⋊#401C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718319C2211yescharacteristic, complemented
183#11718319C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718312C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C25×C13C2311yescharacteristic
189C25×C13C2311yescharacteristic
190C22×D4×C13—24no—
191C22×D4×C13—24no—
192C22×D4×C13—42no—
193C22×D4×C13—42no—
194C22×D4×C13—42no—
195C22×D4×C13—42no—
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C22×D4×C13C2311yescharacteristic
200C22×D4×C13C2311yescharacteristic
201C22×D4×C13C2311yescharacteristic
202C22×D4×C13C2311yescharacteristic
203C22×D4×C13C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C22×C22⋊D13C2311yescharacteristic
215C22×C22⋊D13C2311yescharacteristic
216C22×C22⋊D13C2311yescharacteristic
217C23×Dic13—42no—
218C23×Dic13—42no—
219C23×Dic13—42no—
220C23×Dic13C2311yescharacteristic
221C23×Dic13C2311yescharacteristic
222C23×Dic13C2311yescharacteristic
223C23×Dic13C2311yescharacteristic
224C23×Dic13C2311yescharacteristic
225C23×Dic13C2311yescharacteristic
226C23×Dic13C2311yescharacteristic
227C23×Dic13C2311yescharacteristic
228C23×Dic13C2311yescharacteristic
229C23×Dic13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×#120—42no—
233C13×#120—42no—
234C13×#120—42no—
235C13×#120—42no—
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250#88207—24no—
251#88207—42no—
252#88207—42no—
253C2×C22⋊Dic13—42no—
254C2×C22⋊Dic13—42no—
255C2×C22⋊Dic13—42no—
256C2×C22⋊Dic13—42no—
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281C2×C22⋊Dic13C2311yescharacteristic
282C2×C22⋊Dic13C2311yescharacteristic
283C2×C22⋊Dic13C2311yescharacteristic
284C2×C22⋊Dic13C2311yescharacteristic
285C2×C22⋊Dic13C2311yescharacteristic
286C2×C22⋊Dic13C2311yescharacteristic
287C2×C22⋊Dic13C2311yescharacteristic
288C2×C22⋊Dic13C2311yescharacteristic
289C2×C22⋊Dic13C2311yescharacteristic
290C2×C22⋊Dic13C2311yescharacteristic
291C2×C22⋊Dic13C2311yescharacteristic
292C2×C22⋊Dic13C2311yescharacteristic
293C2×C22⋊Dic13C2311yescharacteristic
294C2×C22⋊Dic13C2311yescharacteristic
295C2×C22⋊Dic13C2311yescharacteristic
296#88193—42no—
297#88193—42no—
298#88193—42no—
299#88193—42no—
300#88193—42no—
301#88193—42no—
302#88192—42no—
303#88190—42no—
304#88189—42no—
305#88189—42no—
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×C4⋊Dic13C2311yescharacteristic
314C2×C4⋊Dic13C2311yescharacteristic
315C2×C4⋊Dic13C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88135—42no—
333#88132—42no—
334#88132—42no—
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#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#36776—131nomaximal, Sylow
376C24×C13—22no—
377C24×C13—22no—
378C24×C13—22no—
379C24×C13—22no—
380C24×C13—22no—
381C24×C13—22no—
382C24×C13—22no—
383C24×C13—22no—
384C24×C13—41no—
385C24×C13—41no—
386C24×C13—41no—
387C24×C13—41no—
388C24×C13—41no—
389C24×C13—41no—
390C24×C13—41no—
391C24×C13—41no—
392C24×C13—41no—
393C24×C13—41no—
394C24×C13—41no—
395C24×C13—41no—
396C24×C13#4114yes—
397C24×C13C2411yescharacteristic
398C24×C13C2411yescharacteristic
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C24×C13C2411yescharacteristic
402C24×C13C2411yescharacteristic
403C24×C13C2411yescharacteristic
404C23×D13C2411yescharacteristic
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—22no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—22no—
421C2×D4×C13—22no—
422C2×D4×C13—22no—
423C2×D4×C13—22no—
424C2×D4×C13—22no—
425C2×D4×C13—41no—
426C2×D4×C13—41no—
427C2×D4×C13—41no—
428C2×D4×C13—41no—
429C2×D4×C13—41no—
430C2×D4×C13—41no—
431C2×D4×C13—41no—
432C2×D4×C13—41no—
433C2×D4×C13—41no—
434C2×D4×C13—41no—
435C2×D4×C13—41no—
436C2×D4×C13—41no—
437C2×D4×C13—41no—
438C2×D4×C13—41no—
439C2×D4×C13—41no—
440C2×D4×C13—41no—
441C2×D4×C13—416no—
442C2×D4×C13—416no—
443C22×C4×C13—22no—
444C22×C4×C13—22no—
445C22×C4×C13—41no—
446C22×C4×C13—41no—
447C22×C4×C13—41no—
448C22×C4×C13—41no—
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C22×C4×C13C2411yescharacteristic
454C22×C4×C13C2411yescharacteristic
455C22×C4×C13C2411yescharacteristic
456C22×C4×C13C2411yescharacteristic
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—22no—
462C2×C22⋊D13—22no—
463C2×C22⋊D13—22no—
464C2×C22⋊D13—22no—
465C2×C22⋊D13—41no—
466C2×C22⋊D13—41no—
467C2×C22⋊D13—41no—
468C2×C22⋊D13—41no—
469C2×C22⋊D13—41no—
470C2×C22⋊D13—41no—
471C2×C22⋊D13—41no—
472C2×C22⋊D13—41no—
473C2×C22⋊D13—41no—
474C2×C22⋊D13—41no—
475C2×C22⋊D13—41no—
476C2×C22⋊D13—41no—
477C2×C22⋊D13—41no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—22no—
481C22×Dic13—22no—
482C22×Dic13—22no—
483C22×Dic13—22no—
484C22×Dic13—22no—
485C22×Dic13—22no—
486C22×Dic13—22no—
487C22×Dic13—41no—
488C22×Dic13—41no—
489C22×Dic13—41no—
490C22×Dic13—41no—
491C22×Dic13—41no—
492C22×Dic13—41no—
493C22×Dic13—41no—
494C22×Dic13—41no—
495C22×Dic13—41no—
496C22×Dic13—41no—
497C22×Dic13—41no—
498C22×Dic13—41no—
499C22×Dic13—41no—
500C22×Dic13—41no—
501C22×Dic13—41no—
502C22×Dic13—41no—
503C22×Dic13—41no—
504C22×Dic13—41no—
505C22×Dic13—41no—
506C22×Dic13—41no—
507C22×Dic13—41no—
508C22×Dic13—416no—
509C22×Dic13C2411yescharacteristic
510C22×Dic13C2411yescharacteristic
511C22×Dic13C2411yescharacteristic
512C22×Dic13C2411yescharacteristic
513C22×Dic13C2411yescharacteristic
514C22×Dic13C2411yescharacteristic
515C22×Dic13C2411yescharacteristic
516C22×Dic13C2411yescharacteristic
517C22×Dic13C2411yescharacteristic
518C22×Dic13C2411yescharacteristic
519C22×Dic13C2411yescharacteristic
520C22×Dic13C2411yescharacteristic
521C22×Dic13C2411yescharacteristic
522C22×Dic13C2411yescharacteristic
523C22×Dic13C2411yescharacteristic
524C2×C4×D13—41no—
525C2×C4×D13—41no—
526C2×C4×D13—41no—
527C2×Dic26—41no—
528C2×Dic26—41no—
529C2×Dic26—41no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—41no—
557C22⋊Dic13—41no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13—41no—
566C22⋊Dic13—41no—
567C22⋊Dic13—41no—
568C22⋊Dic13—41no—
569C22⋊Dic13—41no—
570C22⋊Dic13—41no—
571C22⋊Dic13—41no—
572C22⋊Dic13—41no—
573C22⋊Dic13—41no—
574C22⋊Dic13—41no—
575C22⋊Dic13—41no—
576C22⋊Dic13—41no—
577C22⋊Dic13—41no—
578C22⋊Dic13—41no—
579C22⋊Dic13—41no—
580C22⋊Dic13—41no—
581C22⋊Dic13—41no—
582C22⋊Dic13—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103—41no—
588#6103—41no—
589#6103—41no—
590C4⋊Dic13—41no—
591C4⋊Dic13—41no—
592C4⋊Dic13—41no—
593#6101—22no—
594#6101—22no—
595#6101—41no—
596#6101—41no—
597#6101—41no—
598#6101—41no—
599#6101—41no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606C4×Dic13—41no—
607C4×Dic13—41no—
608C4×Dic13—41no—
609#2849—131no—
610#2847—131no—
611#2778—131no—
612#2778—131no—
613#2760—131no—
614#2750—131no—
615#2749—131no—
616#2749—131no—
617#2743—131no—
618#2703—131no—
619#2697—131no—
620#2696—131no—
621#2688—131no—
622#2688—131no—
623#2684—131no—
624#2678—131no—
625#2676—131no—
626#2668—131no—
627#2643—131no—
628#2639—131no—
629#2510—131no—
630#2472—131no—
631#2444—131no—
632#2437—131no—
633#2424—131no—
634#2410—131no—
635#2410—131no—
636#2403D1311yescharacteristic, complemented
637#2321—131no—
638#2308—131no—
639C2×#386—131no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—28no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13—21no—
668C23×C13—21no—
669C23×C13—28no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13—21no—
673C23×C13—21no—
674C23×C13—21no—
675C23×C13—21no—
676C23×C13—21no—
677C23×C13—21no—
678C23×C13—21no—
679C23×C13—21no—
680C23×C13—21no—
681C23×C13—21no—
682C23×C13—21no—
683C23×C13—21no—
684C23×C13—44no—
685C23×C13—44no—
686C23×C13—44no—
687C23×C13—44no—
688C23×C13—44no—
689C23×C13—44no—
690C23×C13—44no—
691C23×C13—44no—
692C23×C13—44no—
693C23×C13—82no—
694C23×C13—82no—
695C23×C13—82no—
696C23×C13—82no—
697C23×C13—82no—
698C23×C13—82no—
699C23×C13—82no—
700C23×C13—82no—
701C23×C13—82no—
702C23×C13—82no—
703C23×C13C2×#4112yes—
704C23×C13C2×#4112yes—
705C23×C13C2×#4112yes—
706C23×C13H(5,𝔽2)12yes—
707C23×C13H(5,𝔽2)12yes—
708C23×C13H(5,𝔽2)12yes—
709C23×C13H(5,𝔽2)12yes—
710C23×C13C2511yescharacteristic
711C22×D13—21no—
712C22×D13—21no—
713C22×D13—21no—
714C22×D13—21no—
715C22×D13—21no—
716C22×D13—21no—
717C22×D13—21no—
718D4×C13—44no—
719D4×C13—44no—
720D4×C13—44no—
721D4×C13—44no—
722D4×C13—44no—
723D4×C13—44no—
724D4×C13—44no—
725D4×C13—44no—
726D4×C13—82no—
727D4×C13—82no—
728D4×C13—82no—
729D4×C13—82no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—44no—
755C2×C4×C13—44no—
756C22⋊D13—44no—
757C22⋊D13—82no—
758C22⋊D13—82no—
759C22⋊D13—82no—
760C22⋊D13—82no—
761C22⋊D13—82no—
762C22⋊D13—82no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—44no—
808C2×Dic13—44no—
809C2×Dic13—44no—
810C2×Dic13—44no—
811C2×Dic13—44no—
812C2×Dic13—44no—
813C2×Dic13—82no—
814C2×Dic13—82no—
815C2×Dic13—82no—
816C2×Dic13—82no—
817C2×Dic13H(5,𝔽2)12yes—
818C4×D13—82no—
819Dic26—82no—
820C23×D4C2×D1311yescharacteristic
821C23×D4C2×D1311yescharacteristic
822C24×C4—131no—
823C2×#124—131no—
824C2×#123—131no—
825C2×#123—131no—
826C2×C22⋊Q8—131no—
827C2×C22⋊Q8—131no—
828C2×#121—131no—
829C2×#121—131no—
830C2×#121—131no—
831C2×#121—131no—
832C2×#121—131no—
833C2×#121—131no—
834C2×#121—131no—
835C2×#120—131no—
836C2×#120—131no—
837C2×#120—131no—
838C2×#120C2×D1311yescharacteristic
839C2×#120C2×D1311yescharacteristic
840C2×#120C2×D1311yescharacteristic
841C2×#120C2×D1311yescharacteristic
842C2×C4×D4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4—131no—
846C22×C22⋊C4—131no—
847#401—131no—
848#401—131no—
849#400—131no—
850#400—131no—
851#400—131no—
852#400—131no—
853#400—131no—
854#400—131no—
855#400—131no—
856#399—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#397—131no—
862#397—131no—
863#397—131no—
864#397—131no—
865#397—131no—
866#397—131no—
867#396—131no—
868#396—131no—
869#396—131no—
870#396—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#394—131no—
877#394—131no—
878#394—131no—
879#394—131no—
880#394—131no—
881#394—131no—
882#393—131no—
883#393—131no—
884#393—131no—
885#393—131no—
886#392—131no—
887#392—131no—
888#392—131no—
889#392—131no—
890#392—131no—
891#392C2×D1311yescharacteristic
892#392C2×D1311yescharacteristic
893#392C2×D1311yescharacteristic
894#392C2×D1311yescharacteristic
895#390—131no—
896#390—131no—
897#390—131no—
898#390—131no—
899#388—131no—
900#388—131no—
901#388—131no—
902#388—131no—
903#388—131no—
904#388—131no—
905#388—131no—
906#388—131no—
907#388—131no—
908#388—131no—
909#387—131no—
910#387—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#386—131no—
917#386—131no—
918#386—131no—
919#386—131no—
920#386—131no—
921#386—131no—
922#386—131no—
923#386—131no—
924#386—131no—
925#386—131no—
926#386—131no—
927#386—131no—
928#386—131no—
929#386—131no—
930#386—131no—
931#386—131no—
932#386—131no—
933#386—131no—
934#386—131no—
935#386—131no—
936#386—131no—
937#386—131no—
938#386—131no—
939#386—131no—
940#386—131no—
941#386—131no—
942#386—131no—
943#386—131no—
944#386C2×D1311yescharacteristic
945#386C2×D1311yescharacteristic
946#386C2×D1311yescharacteristic
947#386C2×D1311yescharacteristic
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#385—131no—
953#385—131no—
954#385—131no—
955#385—131no—
956#385—131no—
957#383—131no—
958#381—131no—
959#381—131no—
960#381—131no—
961#381—131no—
962#381—131no—
963#380—131no—
964#380—131no—
965#380—131no—
966#380—131no—
967#379—131no—
968#379—131no—
969#379—131no—
970#379—131no—
971#379C2×D1311yescharacteristic
972C4×C22⋊C4—131no—
973C2×#95—131no—
974C2×#95—131no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—22no—
983C22×C13—22no—
984C22×C13—22no—
985C22×C13—22no—
986C22×C13—22no—
987C22×C13—22no—
988C22×C13—22no—
989C22×C13—22no—
990C22×C13—22no—
991C22×C13—22no—
992C22×C13—22no—
993C22×C13—416no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13—41no—
997C22×C13—41no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13—41no—
1002C22×C13—41no—
1003C22×C13—41no—
1004C22×C13—41no—
1005C22×C13—41no—
1006C22×C13—41no—
1007C22×C13—41no—
1008C22×C13—41no—
1009C22×C13—41no—
1010C22×C13—41no—
1011C22×C13—41no—
1012C22×C13—41no—
1013C22×C13—41no—
1014C22×C13—41no—
1015C22×C13—41no—
1016C22×C13—41no—
1017C22×C13—41no—
1018C22×C13—41no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—88no—
1025C22×C13—88no—
1026C22×C13#53814yes—
1027C22×C13C22×#4111yescharacteristic
1028C22×C13C2×H(5,𝔽2)11yescharacteristic
1029C22×C13C2×H(5,𝔽2)11yescharacteristic
1030C22×C13C2×H(5,𝔽2)11yescharacteristic
1031C22×C13C2×H(5,𝔽2)11yescharacteristic
1032C22×C13C2×H(5,𝔽2)11yescharacteristic
1033C22×C13#58511yescharacteristic
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—41no—
1039C2×D13—41no—
1040C2×D13—41no—
1041C4×C13—41no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049Dic13—22no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063Dic13—41no—
1064C25C22×D1311yescharacteristic
1065C25C22×D1311yescharacteristic
1066C25C22×D1311yescharacteristic
1067C22×Q8—131no—
1068C22×D4—24no—
1069C22×D4—24no—
1070C22×D4—42no—
1071C22×D4—42no—
1072C22×D4—42no—
1073C22×D4—42no—
1074C22×D4—131no—
1075C22×D4—131no—
1076C22×D4—131no—
1077C22×D4—131no—
1078C22×D4—131no—
1079C22×D4—131no—
1080C22×D4—131no—
1081C22×D4C22×D1311yescharacteristic
1082C22×D4C22×D1311yescharacteristic
1083C22×D4C22×D1311yescharacteristic
1084C22×D4C22×D1311yescharacteristic
1085C22×D4C22×D1311yescharacteristic
1086C22×D4C22×D1311yescharacteristic
1087C22×D4C22×D1311yescharacteristic
1088C22×D4C22×D1311yescharacteristic
1089C22×D4C22×D1311yescharacteristic
1090C22×D4C22×D1311yescharacteristic
1091C22×D4C22×D1311yescharacteristic
1092C22×D4C22×D1311yescharacteristic
1093C23×C4—131no—
1094C23×C4—131no—
1095C23×C4—131no—
1096C23×C4—131no—
1097C23×C4—131no—
1098C23×C4—131no—
1099C23×C4—131no—
1100C23×C4—131no—
1101C23×C4—131no—
1102C23×C4—131no—
1103C23×C4—131no—
1104C23×C4—522no—
1105C23×C4—522no—
1106C23×C4—522no—
1107C23×C4C22×D1311yescharacteristic
1108C23×C4C22×D1311yescharacteristic
1109#124—522no—
1110#123—522no—
1111#123—522no—
1112C22⋊Q8—522no—
1113C22⋊Q8—522no—
1114#121—522no—
1115#121—522no—
1116#121—522no—
1117#121—522no—
1118#121—522no—
1119#121—522no—
1120#121—522no—
1121#120—42no—
1122#120—42no—
1123#120—42no—
1124#120—42no—
1125#120—264no—
1126#120—522no—
1127#120—522no—
1128C4×D4—522no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4—131no—
1141C2×C4⋊C4—131no—
1142C2×C4⋊C4—131no—
1143C2×C4⋊C4—131no—
1144C2×C4⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—522no—
1192C2×C22⋊C4—522no—
1193C2×C22⋊C4—522no—
1194C2×C22⋊C4—522no—
1195C2×C22⋊C4C22×D1311yescharacteristic
1196C2×C22⋊C4C22×D1311yescharacteristic
1197C2×C22⋊C4C22×D1311yescharacteristic
1198C2×C22⋊C4C22×D1311yescharacteristic
1199C2×C22⋊C4C22×D1311yescharacteristic
1200C2×C22⋊C4C22×D1311yescharacteristic
1201C2×C22⋊C4C22×D1311yescharacteristic
1202C2×C22⋊C4C22×D1311yescharacteristic
1203C2×C22⋊C4C22×D1311yescharacteristic
1204C2×C22⋊C4C22×D1311yescharacteristic
1205C2×C22⋊C4C22×D1311yescharacteristic
1206C2×C22⋊C4C22×D1311yescharacteristic
1207C2×C22⋊C4C22×D1311yescharacteristic
1208C2×C22⋊C4C22×D1311yescharacteristic
1209C2×C42—131no—
1210C2×C42—131no—
1211C2×C42—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95—131no—
1244#95—131no—
1245#95—131no—
1246#95—131no—
1247#95—131no—
1248#95C22×D1311yescharacteristic
1249#95C22×D1311yescharacteristic
1250#95C22×D1311yescharacteristic
1251#95C22×D1311yescharacteristic
1252C2×C13—24no—
1253C2×C13—42no—
1254C2×C13—42no—
1255C2×C13—42no—
1256C2×C13—42no—
1257C2×C13—81no—
1258C2×C13—81no—
1259C2×C13C2×#53811yescharacteristic
1260C2×C13#349011yescharacteristic
1261C2×C13#350511yescharacteristic
1262C2×C13#353211yescharacteristic
1263C2×C13#353411yescharacteristic
1264C2×C13#353411yescharacteristic
1265C2×C13#353711yescharacteristic
1266D13—81no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—131no—
1288C24#612914yes—
1289C24C23×D1311yescharacteristic
1290C24C23×D1311yescharacteristic
1291C24C23×D1311yescharacteristic
1292C24C23×D1311yescharacteristic
1293C24C23×D1311yescharacteristic
1294C24C23×D1311yescharacteristic
1295C24C23×D1311yescharacteristic
1296C2×Q8—521no—
1297C2×Q8—521no—
1298C2×Q8—521no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—416no—
1336C2×D4—416no—
1337C2×D4—262no—
1338C2×D4—262no—
1339C2×D4—262no—
1340C2×D4—262no—
1341C2×D4—262no—
1342C2×D4—262no—
1343C2×D4—262no—
1344C2×D4—262no—
1345C2×D4—521no—
1346C2×D4—521no—
1347C2×D4—521no—
1348C2×D4—521no—
1349C2×D4—521no—
1350C2×D4—521no—
1351C2×D4—521no—
1352C2×D4—521no—
1353C2×D4—521no—
1354C2×D4—521no—
1355C2×D4—521no—
1356C2×D4—521no—
1357C2×D4—521no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—131no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—131no—
1373C22×C4—131no—
1374C22×C4—131no—
1375C22×C4—131no—
1376C22×C4—131no—
1377C22×C4—131no—
1378C22×C4—131no—
1379C22×C4—262no—
1380C22×C4—262no—
1381C22×C4—262no—
1382C22×C4—262no—
1383C22×C4—262no—
1384C22×C4—262no—
1385C22×C4—262no—
1386C22×C4—262no—
1387C22×C4—262no—
1388C22×C4—521no—
1389C22×C4—521no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—521no—
1395C22×C4—521no—
1396C22×C4—521no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—521no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4—521no—
1404C22×C4—521no—
1405C22×C4—521no—
1406C22×C4—521no—
1407C22×C4—521no—
1408C22×C4—521no—
1409C22×C4—521no—
1410C22×C4—521no—
1411C22×C4—521no—
1412C22×C4—5216no—
1413C22×C4C23×D1311yescharacteristic
1414C22×C4C23×D1311yescharacteristic
1415C22×C4C23×D1311yescharacteristic
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418C22×C4C23×D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C4⋊C4—262no—
1422C4⋊C4—262no—
1423C4⋊C4—521no—
1424C4⋊C4—521no—
1425C4⋊C4—521no—
1426C4⋊C4—521no—
1427C4⋊C4—521no—
1428C4⋊C4—521no—
1429C4⋊C4—521no—
1430C4⋊C4—521no—
1431C4⋊C4—521no—
1432C4⋊C4—521no—
1433C4⋊C4—521no—
1434C4⋊C4—521no—
1435C4⋊C4—521no—
1436C4⋊C4—521no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—262no—
1452C22⋊C4—262no—
1453C22⋊C4—262no—
1454C22⋊C4—262no—
1455C22⋊C4—262no—
1456C22⋊C4—262no—
1457C22⋊C4—262no—
1458C22⋊C4—262no—
1459C22⋊C4—262no—
1460C22⋊C4—262no—
1461C22⋊C4—262no—
1462C22⋊C4—262no—
1463C22⋊C4—521no—
1464C22⋊C4—521no—
1465C22⋊C4—521no—
1466C22⋊C4—521no—
1467C22⋊C4—521no—
1468C22⋊C4—521no—
1469C22⋊C4—521no—
1470C22⋊C4—521no—
1471C22⋊C4—521no—
1472C22⋊C4—521no—
1473C22⋊C4—521no—
1474C22⋊C4—521no—
1475C22⋊C4—521no—
1476C22⋊C4—521no—
1477C22⋊C4—521no—
1478C22⋊C4—521no—
1479C22⋊C4—521no—
1480C22⋊C4—521no—
1481C22⋊C4—521no—
1482C22⋊C4—521no—
1483C22⋊C4—521no—
1484C22⋊C4—521no—
1485C22⋊C4—521no—
1486C22⋊C4—521no—
1487C22⋊C4—521no—
1488C22⋊C4—521no—
1489C22⋊C4—521no—
1490C22⋊C4—521no—
1491C22⋊C4—521no—
1492C22⋊C4—521no—
1493C22⋊C4—521no—
1494C22⋊C4—521no—
1495C22⋊C4—521no—
1496C22⋊C4—521no—
1497C42—521no—
1498C42—521no—
1499C42—521no—
1500C13#3677611yescharacteristic, complemented, Sylow
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—261no—
1565C23—261no—
1566C23—261no—
1567C23—261no—
1568C23—261no—
1569C23—261no—
1570C23—261no—
1571C23C2×#612912yes—
1572C23C2×#612912yes—
1573C23C2×#612912yes—
1574C23#8825112yes—
1575C23#8825112yes—
1576C23#8825112yes—
1577C23#8825112yes—
1578C23C24×D1311yescharacteristic
1579Q8—1042no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—524no—
1593D4—1042no—
1594D4—1042no—
1595D4—1042no—
1596D4—1042no—
1597D4—1042no—
1598D4—1042no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—132no—
1626C2×C4—261no—
1627C2×C4—261no—
1628C2×C4—261no—
1629C2×C4—261no—
1630C2×C4—261no—
1631C2×C4—261no—
1632C2×C4—261no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—261no—
1653C2×C4—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—261no—
1659C2×C4—261no—
1660C2×C4—261no—
1661C2×C4—261no—
1662C2×C4—261no—
1663C2×C4—261no—
1664C2×C4—261no—
1665C2×C4—261no—
1666C2×C4—261no—
1667C2×C4—261no—
1668C2×C4—261no—
1669C2×C4—261no—
1670C2×C4—524no—
1671C2×C4—524no—
1672C2×C4—524no—
1673C2×C4—524no—
1674C2×C4—524no—
1675C2×C4—524no—
1676C2×C4—1042no—
1677C2×C4—1042no—
1678C2×C4—1042no—
1679C2×C4—1042no—
1680C2×C4—1042no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—88no—
1731C22—88no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—521no—
1737C22—521no—
1738C22—521no—
1739C22#1171929814yes—
1740C22C22×#612911yescharacteristic
1741C22C2×#8825111yescharacteristic
1742C22C2×#8825111yescharacteristic
1743C22C2×#8825111yescharacteristic
1744C22C2×#8825111yescharacteristic
1745C22D13×H(5,𝔽2)11yescharacteristic
1746C22#1171965011yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—262no—
1756C4—521no—
1757C4—521no—
1758C4—521no—
1759C4—521no—
1760C4—521no—
1761C4—521no—
1762C4—521no—
1763C4—521no—
1764C4—521no—
1765C4—521no—
1766C4—521no—
1767C4—521no—
1768C4—521no—
1769C4—521no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—1041no—
1778C2C2×#1171929811yescharacteristic
1779C2#1312852311yescharacteristic
1780C2#1312867311yescharacteristic
1781C2#1312898611yescharacteristic
1782C2#1312901411yescharacteristic
1783C2#1312901411yescharacteristic
1784C2#1312906611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2403C2
hypercenter#2403D13
hypocenterC13#36776
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. #13123126C2semidirect
2. #13123116C2semidirect
3. #13122447C2semidirect
4. #13122447C2semidirect
5. #13122212C2semidirect
6. #13122074C2semidirect
7. #13122061C2semidirect
8. #13122059C2semidirect
9. #13121973C2semidirect
10. #13121484C2semidirect
11. #13121397C2semidirect
12. #13121385C2semidirect
13. #13121278C2semidirect
14. #13121271C2semidirect
15. #13121214C2semidirect
16. #13121161C2semidirect
17. #13121130C2semidirect
18. #13121040C2semidirect
19. #13120791C2semidirect
20. #13120766C2semidirect
21. #13119394C2semidirect
22. #13118961C2semidirect
23. #13118592C2semidirect
24. #13118502C2semidirect
25. #13118368C2semidirect
26. #13118210C2semidirect
27. #13118210C2semidirect
28. #13117491C2semidirect
29. #13117414C2semidirect
30. C2×#11718881C2semidirect
31. C13×#2403C2semidirect
34. C24×Dic13C22semidirect
40. C2×#88207C22semidirect
41. C2×#88207C22semidirect
45. C22×C22⋊Dic13C22semidirect
48. C2×#88193C22semidirect
49. C2×#88193C22semidirect
50. C2×#88193C22semidirect
51. C2×#88193C22semidirect
52. C2×#88192C22semidirect
53. C2×#88190C22semidirect
54. C2×#88189C22semidirect
55. C2×#88189C22semidirect
56. C2×#88135C22semidirect
57. C2×#88132C22semidirect
58. C2×#88132C22semidirect
68. #11718908C22semidirect
69. #11718908C22semidirect
70. #11718908C22semidirect
71. #11718908C22semidirect
74. #11718884C22semidirect
75. #11718884C22semidirect
76. #11718884C22semidirect
79. #11718883C22semidirect
80. #11718883C22semidirect
81. #11718883C22semidirect
82. #11718883C22semidirect
83. #11718883C22semidirect
84. #11718882C22semidirect
85. #11718882C22semidirect
96. #11718881C22semidirect
97. #11718881C22semidirect
98. #11718881C22semidirect
99. #11718881C22semidirect
100. #11718881C22semidirect
101. #11718881C22semidirect
102. #11718881C22semidirect
103. #11718881C22semidirect
104. #11718881C22semidirect
105. #11718881C22semidirect
106. #11718881C22semidirect
107. #11718881C22semidirect
108. #11718881C22semidirect
109. #11718881C22semidirect
110. #11718874C22semidirect
111. #11718874C22semidirect
112. #11718872C22semidirect
113. #11718872C22semidirect
114. #11718871C22semidirect
115. #11718871C22semidirect
116. C2×#88071C22semidirect
117. C2×#88071C22semidirect
118. #11718622C22semidirect
119. #11718622C22semidirect
120. #11718620C22semidirect
121. #11718620C22semidirect
122. #11718619C22semidirect
123. #11718619C22semidirect
124. #11718619C22semidirect
125. #11718618C22semidirect
126. #11718618C22semidirect
127. #11718617C22semidirect
128. #11718617C22semidirect
129. #11718617C22semidirect
130. #11718617C22semidirect
131. #11718614C22semidirect
132. #11718614C22semidirect
133. #11718613C22semidirect
134. #11718613C22semidirect
135. #11718613C22semidirect
136. #11718613C22semidirect
137. #11718613C22semidirect
138. #11718613C22semidirect
139. #11718611C22semidirect
140. #11718611C22semidirect
141. #11718610C22semidirect
142. #11718609C22semidirect
143. #11718609C22semidirect
144. #11718609C22semidirect
145. #11718609C22semidirect
146. #11718608C22semidirect
147. #11718608C22semidirect
148. #11718608C22semidirect
149. #11718607C22semidirect
150. #11718607C22semidirect
151. #11718607C22semidirect
152. #11718607C22semidirect
153. #11718607C22semidirect
154. #11718606C22semidirect
155. #11718606C22semidirect
156. #11718606C22semidirect
157. #11718606C22semidirect
158. #11718606C22semidirect
159. #11718606C22semidirect
160. #11718605C22semidirect
161. #11718605C22semidirect
162. #11718605C22semidirect
163. #11718605C22semidirect
164. #11718604C22semidirect
165. #11718604C22semidirect
166. #11718603C22semidirect
167. #11718603C22semidirect
168. #11718603C22semidirect
169. #11718603C22semidirect
170. C22⋊C4×Dic13C22semidirect
171. #11718336C22semidirect
172. #11718336C22semidirect
173. #11718334C22semidirect
174. #11718325C22semidirect
175. C13⋊#401C22semidirect
176. C13⋊#401C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718319C22semidirect
181. #11718319C22semidirect
182. #11718319C22semidirect
183. #11718319C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718312C22semidirect
636. #2403D13semidirect
1500. C13#36776semidirect

Maximal subgroups

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

subgroupindex
#131231262
#131231162
#131224472
#131222122
#131220742
#131220612
#131220592
#131219732
#131214842
#131213972
#131213852
#131212782
#131212712
#131212142
#131211612
#131211302
#131210402
#131207912
#131207662
#131193942
#131189612
#131185922
#131185022
#131183682
#131182102
#131174912
#131174142
C2×#117188812
C13×#24032
#3677613