Finite Group Databasebeta

← #16036824

Subgroups — #16036824

Order 3328.

2254 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123153C211yesmaximal, characteristic, complemented
2#13123133C211yesmaximal, characteristic, complemented
3#13123130C211yesmaximal, characteristic, complemented
4#13123116C211yesmaximal, characteristic, complemented
5#13121007C211yesmaximal, characteristic, complemented
6#13120963C211yesmaximal, characteristic, complemented
7#13120900C211yesmaximal, characteristic, complemented
8#13120827C211yesmaximal, characteristic, complemented
9#13120175C211yesmaximal, characteristic, complemented
10#13120145C211yesmaximal, characteristic, complemented
11#13120103C211yesmaximal, characteristic, complemented
12#13120079C211yesmaximal, characteristic, complemented
13#13119970C211yesmaximal, characteristic, complemented
14#13119940C211yesmaximal, characteristic, complemented
15#13119904C211yesmaximal, characteristic, complemented
16#13119889C211yesmaximal, characteristic, complemented
17#13119402C211yesmaximal, characteristic, complemented
18#13118959C211yesmaximal, characteristic, complemented
19#13118584C211yesmaximal, characteristic, complemented
20#13118506C211yesmaximal, characteristic, complemented
21#13118448C211yesmaximal, characteristic, complemented
22#13118376C211yesmaximal, characteristic, complemented
23#13118155C211yesmaximal, characteristic, complemented
24#13117643C211yesmaximal, characteristic, complemented
25#13117619C211yesmaximal, characteristic, complemented
26#13117595C211yesmaximal, characteristic, complemented
27#13117595C211yesmaximal, characteristic, complemented
28#123×Dic13C211yesmaximal, characteristic, complemented
29#13117324C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2411C211yesmaximal, characteristic, complemented
32C24×Dic13C2211yescharacteristic
33C22×#6127C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#120C2211yescharacteristic
36C2×C13×#117C2211yescharacteristic
37C22×C13×C22⋊C4C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88193C2211yescharacteristic
43C2×#88193C2211yescharacteristic
44C2×#88193C2211yescharacteristic
45C2×#88193C2211yescharacteristic
46C2×D4×Dic13C2211yescharacteristic
47C22×C4×Dic13C2211yescharacteristic
48C22×C4×Dic13C2211yescharacteristic
49C2×#88152C2211yescharacteristic, complemented
50C2×#88140C2211yescharacteristic
51C2×#88140C2211yescharacteristic
52C2×#88139C2211yescharacteristic
53C2×#88139C2211yescharacteristic, complemented
54C2×#88132C2211yescharacteristic
55C13×#396C2211yescharacteristic
56C13×#396C2211yescharacteristic
57C13×#394C2211yescharacteristic
58C13×#394C2211yescharacteristic
59C13×#390C2211yescharacteristic
60C13×#390C2211yescharacteristic
61C13×#388C2211yescharacteristic
62C13×#388C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#385C2211yescharacteristic
65C13×#379C2211yescharacteristic
66#11718884C2211yescharacteristic
67#11718883C2211yescharacteristic
68#11718881C2211yescharacteristic
69#11718881C2211yescharacteristic
70#11718881C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718874C2211yescharacteristic
73#11718874C2211yescharacteristic
74#11718872C2211yescharacteristic
75C2×#88071C2211yescharacteristic
76C2×#88071C2211yescharacteristic
77#11718654C2211yescharacteristic, complemented
78#11718652C2211yescharacteristic, complemented
79#11718651C2211yescharacteristic, complemented
80#11718651C2211yescharacteristic, complemented
81#11718650C2211yescharacteristic, complemented
82#11718650C2211yescharacteristic, complemented
83#11718649C2211yescharacteristic, complemented
84#11718649C2211yescharacteristic, complemented
85#11718647C2211yescharacteristic, complemented
86#11718645C2211yescharacteristic, complemented
87#11718645C2211yescharacteristic, complemented
88#11718643C2211yescharacteristic, complemented
89#11718642C2211yescharacteristic, complemented
90#11718642C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718640C2211yescharacteristic, complemented
93#11718640C2211yescharacteristic, complemented
94#11718639C2211yescharacteristic, complemented
95#11718639C2211yescharacteristic, complemented
96C4⋊C4×Dic13C2211yescharacteristic, complemented
97C4⋊C4×Dic13C2211yescharacteristic, complemented
98#11718635C2211yescharacteristic, complemented
99#11718635C2211yescharacteristic, complemented
100#11718622C2211yescharacteristic
101#11718622C2211yescharacteristic
102#11718622C2211yescharacteristic, complemented
103#11718621C2211yescharacteristic
104#11718621C2211yescharacteristic
105#11718621C2211yescharacteristic, complemented
106#11718620C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718619C2211yescharacteristic
110#11718619C2211yescharacteristic
111#11718619C2211yescharacteristic
112#11718619C2211yescharacteristic
113#11718619C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic, complemented
118#11718618C2211yescharacteristic
119#11718618C2211yescharacteristic
120#11718618C2211yescharacteristic, complemented
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic, complemented
127#11718614C2211yescharacteristic, complemented
128#11718613C2211yescharacteristic
129#11718612C2211yescharacteristic
130#11718612C2211yescharacteristic, complemented
131#11718612C2211yescharacteristic, complemented
132#11718612C2211yescharacteristic, complemented
133#11718611C2211yescharacteristic
134#11718611C2211yescharacteristic
135#11718611C2211yescharacteristic
136#11718611C2211yescharacteristic
137#11718609C2211yescharacteristic
138#11718608C2211yescharacteristic
139#11718608C2211yescharacteristic
140#11718608C2211yescharacteristic
141#11718608C2211yescharacteristic, complemented
142#11718607C2211yescharacteristic
143#11718606C2211yescharacteristic
144#11718605C2211yescharacteristic
145#11718605C2211yescharacteristic, complemented
146#11718604C2211yescharacteristic
147#11718604C2211yescharacteristic
148#11718604C2211yescharacteristic, complemented
149#11718603C2211yescharacteristic
150#11718603C2211yescharacteristic
151#11718603C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic
155C22⋊C4×Dic13C2211yescharacteristic
156C22⋊C4×Dic13C2211yescharacteristic
157C22⋊C4×Dic13C2211yescharacteristic
158C22⋊C4×Dic13C2211yescharacteristic
159C22⋊C4×Dic13C2211yescharacteristic
160C22⋊C4×Dic13C2211yescharacteristic
161C22⋊C4×Dic13C2211yescharacteristic, complemented
162C22⋊C4×Dic13C2211yescharacteristic, complemented
163C4×#6103C2211yescharacteristic, complemented
164C4×#6103C2211yescharacteristic, complemented
165C4×#6103C2211yescharacteristic, complemented
166C4×#6103C2211yescharacteristic, complemented
167#11718594C2211yescharacteristic, complemented
168#11718594C2211yescharacteristic, complemented
169#11718590C2211yescharacteristic, complemented
170#11718589C2211yescharacteristic, complemented
171#11718336C2211yescharacteristic, complemented
172#11718335C2211yescharacteristic, complemented
173#11718331C2211yescharacteristic, complemented
174#11718331C2211yescharacteristic, complemented
175#11718331C2211yescharacteristic, complemented
176#11718330C2211yescharacteristic, complemented
177#11718330C2211yescharacteristic, complemented
178#11718330C2211yescharacteristic, complemented
179C13⋊#401C2211yescharacteristic, complemented
180#11718320C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718311C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×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
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13—24no—
202C23×Dic13—42no—
203C23×Dic13—42no—
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C2×#6127—24no—
214C2×#6127—42no—
215C2×#6127—42no—
216C22×D52C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×Dic26C2311yescharacteristic
220C22×Dic26C2311yescharacteristic
221C13×#123—24no—
222C13×#120—42no—
223C13×#117—42no—
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4—24no—
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×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×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250#88207—42no—
251#88207—42no—
252C2×C22⋊Dic13—24no—
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
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
268#88193—24no—
269#88193—24no—
270#88193—42no—
271#88193—42no—
272#88193—42no—
273D4×Dic13—42no—
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×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×C4×Dic13—42no—
307C2×C4×Dic13—42no—
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319#88152—42no—
320#88140—24no—
321#88140—42no—
322#88139—24no—
323#88139—42no—
324#88132—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
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#35053—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
382C23×D13C2411yescharacteristic
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
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
409C2×C22⋊D13—22no—
410C2×C22⋊D13—22no—
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—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—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
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—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—416no—
460C22×Dic13#4114yescomplemented
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475#6127—416no—
476C2×D52—22no—
477C2×D52—41no—
478C2×D52—41no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4—41no—
513C13×C22⋊C4—41no—
514C42×C13—41no—
515C42×C13—41no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
519C22⋊Dic13—22no—
520C22⋊Dic13—22no—
521C22⋊Dic13—22no—
522C22⋊Dic13—22no—
523C22⋊Dic13—41no—
524C22⋊Dic13—41no—
525C22⋊Dic13—41no—
526C22⋊Dic13—41no—
527C22⋊Dic13—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13#4114yescomplemented
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103—41no—
546#6103—41no—
547#6103—41no—
548#6103—41no—
549C4⋊Dic13—22no—
550C4⋊Dic13—22no—
551C4⋊Dic13—22no—
552C4⋊Dic13—41no—
553C4⋊Dic13—41no—
554C4⋊Dic13—41no—
555#6101—22no—
556#6101—22no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2852—131no—
575#2850—131no—
576#2849—131no—
577#2847—131no—
578#2665—131no—
579#2661—131no—
580#2653—131no—
581#2648—131no—
582#2578—131no—
583#2576—131no—
584#2574—131no—
585#2572—131no—
586#2559—131no—
587#2557—131no—
588#2555—131no—
589#2554—131no—
590#2510—131no—
591#2472—131no—
592#2444—131no—
593#2438—131no—
594#2430—131no—
595#2424—131no—
596#2411D1311yescharacteristic, complemented
597#2404—131no—
598#2337—131no—
599#2335—131no—
600#2333—131no—
601#2333—131no—
602C4×#123—131no—
603#2297—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—28no—
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—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—44no—
630C23×C13—44no—
631C23×C13—44no—
632C23×C13—44no—
633C23×C13—44no—
634C23×C13—44no—
635C23×C13C2×#4112yes—
636C23×C13C2×#4112yes—
637C23×C13C2×#4112yes—
638C23×C13H(5,𝔽2)12yes—
639C23×C13H(5,𝔽2)12yes—
640C23×C13C2511yescharacteristic
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655D4×C13—44no—
656D4×C13—82no—
657D4×C13—82no—
658C2×C4×C13—28no—
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×C13C2×#4112yes—
692C2×C4×C13C2×#4112yes—
693C22⋊D13—44no—
694C22⋊D13—44no—
695C22⋊D13—82no—
696C22⋊D13—82no—
697C22⋊D13—82no—
698C22⋊D13—82no—
699C22⋊D13—82no—
700C22⋊D13—82no—
701C2×Dic13—28no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—44no—
740C2×Dic13—44no—
741C2×Dic13—44no—
742C2×Dic13—44no—
743C2×Dic13—44no—
744C2×Dic13—44no—
745C2×Dic13—44no—
746C2×Dic13—82no—
747C2×Dic13C2×#4112yes—
748C2×Dic13C2×#4112yes—
749C2×Dic13C2×#4112yes—
750C2×Dic13C2×#4112yes—
751C2×Dic13H(5,𝔽2)12yes—
752D52—44no—
753C4×D13—44no—
754C4×D13—44no—
755Dic26—44no—
756Dic26—82no—
757C22×#41—131no—
758C24×C4—131no—
759C2×#126—131no—
760C2×#124—131no—
761C2×#124—131no—
762C2×#123—131no—
763C2×#123—131no—
764C2×#123C2×D1311yescharacteristic
765C2×C22⋊Q8—131no—
766C2×#121—131no—
767C2×#121—131no—
768C2×#121—131no—
769C2×#121—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×#120C2×D1311yescharacteristic
774C2×C4×D4—131no—
775C2×#117C2×D1311yescharacteristic
776C22×C22⋊C4—131no—
777C22×C22⋊C4C2×D1311yescharacteristic
778C22×C42—131no—
779C22×C42—131no—
780#401—131no—
781#400—131no—
782#400—131no—
783#400—131no—
784#398—131no—
785#398—131no—
786#397—131no—
787#397—131no—
788#397—131no—
789#397—131no—
790#397—131no—
791#396—131no—
792#396C2×D1311yescharacteristic
793#396C2×D1311yescharacteristic
794#395—131no—
795#395—131no—
796#394—131no—
797#394—131no—
798#394—131no—
799#394—131no—
800#394—131no—
801#394—131no—
802#394C2×D1311yescharacteristic
803#394C2×D1311yescharacteristic
804#393—131no—
805#393—131no—
806#393—131no—
807#393—131no—
808#392—131no—
809#392—131no—
810#392—131no—
811#392—131no—
812#391—131no—
813#391—131no—
814#391—131no—
815#391—131no—
816#390—131no—
817#390—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#390C2×D1311yescharacteristic
822#390C2×D1311yescharacteristic
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388C2×D1311yescharacteristic
840#388C2×D1311yescharacteristic
841#387—131no—
842#387—131no—
843#387—131no—
844#387—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#386—131no—
851#386—131no—
852#386—131no—
853#386—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386C2×D1311yescharacteristic
874#385—131no—
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385C2×D1311yescharacteristic
882#383—131no—
883#383—131no—
884#382—131no—
885#381—131no—
886#381—131no—
887#381—131no—
888#381—131no—
889#380—131no—
890#380—131no—
891#380—131no—
892#379C2×D1311yescharacteristic
893C4×C4⋊C4—131no—
894C4×C4⋊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⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C2×#95—131no—
911C2×#95—131no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—416no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13#53814yes—
941C22×C13C22×#4111yescharacteristic
942C22×C13C22×#4111yescharacteristic
943C22×C13C22×#4111yescharacteristic
944C22×C13C2×H(5,𝔽2)11yescharacteristic
945C22×C13C2×H(5,𝔽2)11yescharacteristic
946C22×C13C2×H(5,𝔽2)11yescharacteristic
947C22×C13#58511yescharacteristic
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—41no—
961C2×D13—41no—
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—
972C4×C13—41no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25C22×D1311yescharacteristic
988C2×#41—264no—
989C2×#41—522no—
990C2×#41—522no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4C22×D1311yescharacteristic
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—264no—
1017C23×C4—522no—
1018C23×C4—522no—
1019C23×C4C22×D1311yescharacteristic
1020C23×C4C22×D1311yescharacteristic
1021#126—522no—
1022#124—264no—
1023#124—522no—
1024#123—24no—
1025#123—264no—
1026#123—522no—
1027C22⋊Q8—522no—
1028#121—264no—
1029#121—264no—
1030#121—522no—
1031#121—522no—
1032#121—522no—
1033#120—42no—
1034#120—522no—
1035#120—522no—
1036C4×D4—522no—
1037#117—42no—
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⋊C4C22×D1311yescharacteristic
1053C2×C4⋊C4C22×D1311yescharacteristic
1054C2×C4⋊C4C22×D1311yescharacteristic
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C22⋊C4—24no—
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—264no—
1093C2×C22⋊C4C22×D1311yescharacteristic
1094C2×C22⋊C4C22×D1311yescharacteristic
1095C2×C22⋊C4C22×D1311yescharacteristic
1096C2×C22⋊C4C22×D1311yescharacteristic
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—522no—
1122C2×C42—522no—
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167#95C22×D1311yescharacteristic
1168#95C22×D1311yescharacteristic
1169C2×C13—24no—
1170C2×C13—42no—
1171C2×C13—42no—
1172C2×C13—81no—
1173C2×C13#344411yescharacteristic
1174C2×C13C2×#53811yescharacteristic
1175C2×C13#346011yescharacteristic
1176C2×C13#349011yescharacteristic
1177C2×C13#349411yescharacteristic
1178C2×C13#351311yescharacteristic
1179C2×C13#351911yescharacteristic
1180D13—81no—
1181D13—81no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—41no—
1188C24—41no—
1189C24—131no—
1190C24—131no—
1191C24C23×D1311yescharacteristic
1192C24C23×D1311yescharacteristic
1193C24C23×D1311yescharacteristic
1194C24C23×D1311yescharacteristic
1195#41—5216no—
1196C2×Q8—262no—
1197C2×Q8—262no—
1198C2×Q8—521no—
1199C2×Q8—521no—
1200C2×Q8—521no—
1201C2×Q8—521no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C2×D4—521no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—134no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—131no—
1254C22×C4—131no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
1263C22×C4—262no—
1264C22×C4—262no—
1265C22×C4—262no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—5216no—
1291C22×C4#612914yes—
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—134no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4—521no—
1361C22⋊C4—521no—
1362C22⋊C4—521no—
1363C22⋊C4—521no—
1364C22⋊C4—521no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C42—41no—
1374C42—41no—
1375C42—262no—
1376C42—262no—
1377C42—262no—
1378C42—521no—
1379C42—521no—
1380C42—521no—
1381C42—521no—
1382C42—521no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C13#3505311yescharacteristic, complemented, Sylow
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23C2×#612912yes—
1432C23#8825112yes—
1433C23#41×D1312yes—
1434C23#41×D1312yes—
1435C23#8825612yes—
1436C23C24×D1311yescharacteristic
1437Q8—524no—
1438Q8—1042no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—524no—
1443D4—524no—
1444D4—524no—
1445D4—1042no—
1446D4—1042no—
1447D4—1042no—
1448D4—1042no—
1449D4—1042no—
1450D4—1042no—
1451C2×C4—28no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—268no—
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—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—524no—
1528C2×C4—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4—524no—
1536C2×C4—1042no—
1537C2×C4C2×#612912yes—
1538C2×C4C2×#612912yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—521no—
1578C22—521no—
1579C22—521no—
1580C22—521no—
1581C22#1171932214yes—
1582C22C22×#612911yescharacteristic
1583C22C2×#8825111yescharacteristic
1584C22C2×#41×D1311yescharacteristic
1585C22C2×#41×D1311yescharacteristic
1586C22C2×#8825611yescharacteristic
1587C22D13×H(5,𝔽2)11yescharacteristic
1588C22#1171965011yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—262no—
1601C4—262no—
1602C4—262no—
1603C4—262no—
1604C4—262no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C4—521no—
1612C4—521no—
1613C4—521no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—1041no—
1619C2—1041no—
1620C2#1312812811yescharacteristic
1621C2C2×#1171932211yescharacteristic
1622C2#1312824911yescharacteristic
1623C2#1312852011yescharacteristic
1624C2#1312855811yescharacteristic
1625C2#1312876311yescharacteristic
1626C2#1312885711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2411C2
hypercenter#2411D13
hypocenterC13#35053
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #13123153C2semidirect
2. #13123133C2semidirect
3. #13123130C2semidirect
4. #13123116C2semidirect
5. #13121007C2semidirect
6. #13120963C2semidirect
7. #13120900C2semidirect
8. #13120827C2semidirect
9. #13120175C2semidirect
10. #13120145C2semidirect
11. #13120103C2semidirect
12. #13120079C2semidirect
13. #13119970C2semidirect
14. #13119940C2semidirect
15. #13119904C2semidirect
16. #13119889C2semidirect
17. #13119402C2semidirect
18. #13118959C2semidirect
19. #13118584C2semidirect
20. #13118506C2semidirect
21. #13118448C2semidirect
22. #13118376C2semidirect
23. #13118155C2semidirect
24. #13117643C2semidirect
25. #13117619C2semidirect
26. #13117595C2semidirect
27. #13117595C2semidirect
28. #123×Dic13C2semidirect
29. #13117324C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
31. C13×#2411C2semidirect
49. C2×#88152C22semidirect
53. C2×#88139C22semidirect
77. #11718654C22semidirect
78. #11718652C22semidirect
79. #11718651C22semidirect
80. #11718651C22semidirect
81. #11718650C22semidirect
82. #11718650C22semidirect
83. #11718649C22semidirect
84. #11718649C22semidirect
85. #11718647C22semidirect
86. #11718645C22semidirect
87. #11718645C22semidirect
88. #11718643C22semidirect
89. #11718642C22semidirect
90. #11718642C22semidirect
91. #11718642C22semidirect
92. #11718640C22semidirect
93. #11718640C22semidirect
94. #11718639C22semidirect
95. #11718639C22semidirect
96. C4⋊C4×Dic13C22semidirect
97. C4⋊C4×Dic13C22semidirect
98. #11718635C22semidirect
99. #11718635C22semidirect
102. #11718622C22semidirect
105. #11718621C22semidirect
117. #11718619C22semidirect
120. #11718618C22semidirect
125. #11718617C22semidirect
126. #11718617C22semidirect
127. #11718614C22semidirect
130. #11718612C22semidirect
131. #11718612C22semidirect
132. #11718612C22semidirect
141. #11718608C22semidirect
145. #11718605C22semidirect
148. #11718604C22semidirect
161. C22⋊C4×Dic13C22semidirect
162. C22⋊C4×Dic13C22semidirect
163. C4×#6103C22semidirect
164. C4×#6103C22semidirect
165. C4×#6103C22semidirect
166. C4×#6103C22semidirect
167. #11718594C22semidirect
168. #11718594C22semidirect
169. #11718590C22semidirect
170. #11718589C22semidirect
171. #11718336C22semidirect
172. #11718335C22semidirect
173. #11718331C22semidirect
174. #11718331C22semidirect
175. #11718331C22semidirect
176. #11718330C22semidirect
177. #11718330C22semidirect
178. #11718330C22semidirect
179. C13⋊#401C22semidirect
180. #11718320C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718311C22semidirect
186. #11718307C22semidirect
460. C22×Dic13#41semidirect
530. C22⋊Dic13#41semidirect
596. #2411D13semidirect
1386. C13#35053semidirect

Maximal subgroups

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

subgroupindex
#131231532
#131231332
#131231302
#131231162
#131210072
#131209632
#131209002
#131208272
#131201752
#131201452
#131201032
#131200792
#131199702
#131199402
#131199042
#131198892
#131194022
#131189592
#131185842
#131185062
#131184482
#131183762
#131181552
#131176432
#131176192
#131175952
#123×Dic132
#131173242
C2×C22⋊C4×Dic132
C13×#24112
#3505313